TSTP Solution File: SWW227+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWW227+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 : n029.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 00:49:30 EDT 2023
% Result : Theorem 73.21s 10.40s
% Output : Proof 238.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWW227+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.11/0.33 % Computer : n029.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sun Aug 27 18:19:40 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.18/0.58 ________ _____
% 0.18/0.58 ___ __ \_________(_)________________________________
% 0.18/0.58 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.18/0.58 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.18/0.58 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.18/0.58
% 0.18/0.58 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.18/0.58 (2023-06-19)
% 0.18/0.58
% 0.18/0.58 (c) Philipp Rümmer, 2009-2023
% 0.18/0.58 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.18/0.58 Amanda Stjerna.
% 0.18/0.58 Free software under BSD-3-Clause.
% 0.18/0.58
% 0.18/0.58 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.18/0.58
% 0.18/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.18/0.59 Running up to 7 provers in parallel.
% 0.18/0.60 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.18/0.60 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.18/0.60 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.18/0.60 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.18/0.60 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.18/0.60 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.18/0.60 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 17.00/2.96 Prover 3: Preprocessing ...
% 17.00/2.96 Prover 5: Preprocessing ...
% 17.00/2.96 Prover 1: Preprocessing ...
% 17.00/2.96 Prover 6: Preprocessing ...
% 17.00/3.02 Prover 0: Preprocessing ...
% 17.00/3.03 Prover 2: Preprocessing ...
% 17.00/3.11 Prover 4: Preprocessing ...
% 44.95/6.75 Prover 1: Warning: ignoring some quantifiers
% 45.46/6.88 Prover 3: Warning: ignoring some quantifiers
% 47.98/7.04 Prover 1: Constructing countermodel ...
% 47.98/7.04 Prover 3: Constructing countermodel ...
% 48.55/7.13 Prover 6: Proving ...
% 50.28/7.42 Prover 4: Warning: ignoring some quantifiers
% 52.28/7.75 Prover 4: Constructing countermodel ...
% 60.69/8.71 Prover 0: Proving ...
% 63.05/9.09 Prover 5: Proving ...
% 63.05/9.09 Prover 2: Proving ...
% 71.91/10.16 Prover 2: stopped
% 71.91/10.16 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 73.21/10.39 Prover 3: proved (9795ms)
% 73.21/10.40
% 73.21/10.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 73.21/10.40
% 73.21/10.41 Prover 6: stopped
% 73.21/10.42 Prover 0: stopped
% 73.21/10.43 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 73.21/10.43 Prover 5: stopped
% 73.21/10.44 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 73.21/10.44 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 73.21/10.44 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 81.02/11.40 Prover 7: Preprocessing ...
% 83.31/11.66 Prover 11: Preprocessing ...
% 83.31/11.68 Prover 8: Preprocessing ...
% 83.31/11.71 Prover 10: Preprocessing ...
% 83.31/11.71 Prover 13: Preprocessing ...
% 94.70/13.11 Prover 10: Warning: ignoring some quantifiers
% 95.64/13.26 Prover 7: Warning: ignoring some quantifiers
% 95.64/13.26 Prover 8: Warning: ignoring some quantifiers
% 95.64/13.27 Prover 10: Constructing countermodel ...
% 96.78/13.41 Prover 8: Constructing countermodel ...
% 96.78/13.48 Prover 7: Constructing countermodel ...
% 101.19/14.14 Prover 13: Warning: ignoring some quantifiers
% 104.01/14.35 Prover 11: Warning: ignoring some quantifiers
% 104.51/14.44 Prover 13: Constructing countermodel ...
% 105.74/14.54 Prover 11: Constructing countermodel ...
% 105.74/14.59 Prover 13: stopped
% 105.74/14.61 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 111.71/15.34 Prover 16: Preprocessing ...
% 116.76/15.99 Prover 1: stopped
% 116.76/16.00 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 121.56/16.64 Prover 19: Preprocessing ...
% 126.18/17.22 Prover 16: Warning: ignoring some quantifiers
% 126.94/17.35 Prover 16: Constructing countermodel ...
% 132.82/18.16 Prover 19: Warning: ignoring some quantifiers
% 134.08/18.26 Prover 19: Constructing countermodel ...
% 144.46/19.66 Prover 16: stopped
% 145.37/19.73 Prover 19: stopped
% 201.38/27.94 Prover 4: stopped
% 211.98/30.12 Prover 7: stopped
% 217.33/31.24 Prover 8: Found proof (size 3932)
% 217.33/31.24 Prover 8: proved (20776ms)
% 217.33/31.25 Prover 11: stopped
% 217.33/31.25 Prover 10: stopped
% 217.33/31.25
% 217.33/31.26 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 217.33/31.26
% 233.66/47.19 % SZS output start Proof for theBenchmark
% 233.70/47.23 Assumptions after simplification:
% 233.70/47.23 ---------------------------------
% 233.70/47.23
% 233.70/47.23 (arity_Complex__Ocomplex__RealVector_Oreal__normed__vector)
% 233.75/47.26 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = 0 &
% 233.75/47.26 $i(tc_Complex_Ocomplex)
% 233.75/47.26
% 233.75/47.26 (arity_Complex__Ocomplex__Rings_Ozero__neq__one)
% 233.75/47.26 class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) = 0 & $i(tc_Complex_Ocomplex)
% 233.75/47.26
% 233.75/47.26 (arity_RealDef__Oreal__Fields_Ofield)
% 233.75/47.26 class_Fields_Ofield(tc_RealDef_Oreal) = 0 & $i(tc_RealDef_Oreal)
% 233.75/47.26
% 233.75/47.26 (arity_RealDef__Oreal__Fields_Ofield__inverse__zero)
% 233.75/47.26 class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) = 0 &
% 233.75/47.26 $i(tc_RealDef_Oreal)
% 233.75/47.26
% 233.75/47.26 (arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero)
% 233.75/47.26 class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) = 0 &
% 233.75/47.26 $i(tc_RealDef_Oreal)
% 233.75/47.26
% 233.75/47.26 (arity_RealDef__Oreal__Int_Onumber)
% 233.75/47.26 class_Int_Onumber(tc_RealDef_Oreal) = 0 & $i(tc_RealDef_Oreal)
% 233.75/47.26
% 233.75/47.26 (arity_RealDef__Oreal__Rings_Olinordered__idom)
% 233.75/47.26 class_Rings_Olinordered__idom(tc_RealDef_Oreal) = 0 & $i(tc_RealDef_Oreal)
% 233.75/47.26
% 233.75/47.26 (conj_0)
% 233.75/47.27 $i(v_N2____) & $i(v_N1____) & $i(tc_Nat_Onat) & $i(v_s____) & $i(v_z____) &
% 233.75/47.27 $i(v_p) & $i(tc_Complex_Ocomplex) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ?
% 233.75/47.27 [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i]
% 233.75/47.27 : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ?
% 233.75/47.27 [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: int] : ( ~ (v14 = 0) &
% 233.75/47.27 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & c_Int_OBit1(c_Int_OPls) =
% 233.75/47.27 v10 & c_Int_OBit0(v10) = v11 &
% 233.75/47.27 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v11) = v12 &
% 233.75/47.27 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = v5 &
% 233.75/47.27 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6 &
% 233.75/47.27 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v7 &
% 233.75/47.27 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v6, v7) = v8 &
% 233.75/47.27 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v8) = v9 &
% 233.75/47.27 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v9, v12) = v13 &
% 233.75/47.27 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, v3) = v4 &
% 233.75/47.27 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v1 &
% 233.75/47.27 c_Nat_OSuc(v1) = v2 & c_RealDef_Oreal(tc_Nat_Onat, v2) = v3 &
% 233.75/47.27 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v13) = v14 & $i(v13) &
% 233.75/47.27 $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 233.75/47.27 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 233.75/47.27
% 233.75/47.27 (fact_Bit1__def)
% 233.75/47.27 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 &
% 233.75/47.27 $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 233.75/47.27 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v3) | ~
% 233.75/47.27 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v2) | ~ $i(v1) |
% 233.75/47.27 (c_Int_OBit1(v1) = v3 & $i(v3))))
% 233.75/47.27
% 233.75/47.27 (fact_Bseq__inverse__lemma)
% 233.75/47.28 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 233.75/47.28 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 233.75/47.28 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 233.75/47.28 int] : (v7 = 0 | ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 233.75/47.28 v5, v6) = v7) | ~ (c_Rings_Oinverse__class_Oinverse(v3, v1) = v4) |
% 233.75/47.28 ~ (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v2) = v6) | ~
% 233.75/47.28 (c_RealVector_Onorm__class_Onorm(v3, v4) = v5) | ~ $i(v3) | ~ $i(v2) |
% 233.75/47.28 ~ $i(v1) | ? [v8: any] : ? [v9: $i] : ? [v10: any] : ? [v11: any] :
% 233.75/47.28 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v9) = v10 &
% 233.75/47.28 class_RealVector_Oreal__normed__div__algebra(v3) = v8 &
% 233.75/47.28 c_RealVector_Onorm__class_Onorm(v3, v1) = v9 &
% 233.75/47.28 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) = v11 & $i(v9) &
% 233.75/47.28 ( ~ (v11 = 0) | ~ (v10 = 0) | ~ (v8 = 0)))))
% 233.75/47.28
% 233.75/47.28 (fact_INVERSE__ZERO)
% 233.75/47.28 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 233.75/47.28 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v0) = v0 &
% 233.75/47.28 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0))
% 233.75/47.28
% 233.75/47.28 (fact_N2)
% 233.75/47.29 $i(v_N2____) & $i(tc_Nat_Onat) & $i(v_s____) & $i(v_z____) & $i(v_p) &
% 233.75/47.29 $i(tc_Complex_Ocomplex) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 233.75/47.29 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ?
% 233.75/47.29 [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : (c_Int_OBit1(c_Int_OPls)
% 233.75/47.29 = v0 & c_Int_OBit0(v0) = v1 &
% 233.75/47.29 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 233.75/47.29 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = v3 &
% 233.75/47.29 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 233.75/47.29 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v5 &
% 233.75/47.29 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v4, v5) = v6 &
% 233.75/47.29 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v6) = v7 &
% 233.75/47.29 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v7) = v8 &
% 233.75/47.29 c_RealDef_Oreal(tc_Nat_Onat, v_N2____) = v9 &
% 233.75/47.29 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v9) = 0 & $i(v9) &
% 233.75/47.29 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 233.75/47.29 $i(v0))
% 233.75/47.29
% 233.75/47.29 (fact_Nat_Oadd__0__right)
% 233.75/47.29 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 233.75/47.29 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 233.75/47.29 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ $i(v1)))
% 233.75/47.29
% 233.75/47.29 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J)
% 233.75/47.29 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 233.75/47.29 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 233.75/47.29 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) = 0) | ~
% 233.75/47.29 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) = 0) | ~ $i(v2) |
% 233.75/47.30 ~ $i(v1) | ? [v3: $i] : (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 233.75/47.30 v0, v3) = 0 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v3 &
% 233.75/47.30 $i(v3))))
% 233.75/47.30
% 233.75/47.30 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J)
% 233.75/47.30 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 233.75/47.30 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 233.75/47.30 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) = 0) | ~
% 233.75/47.30 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) = 0) | ~ $i(v2) |
% 233.75/47.30 ~ $i(v1) | ? [v3: $i] : (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v2,
% 233.75/47.30 v1) = v3 & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3) = 0
% 233.75/47.30 & $i(v3))))
% 233.75/47.30
% 233.75/47.30 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J)
% 233.75/47.30 $i(tc_Int_Oint) & ? [v0: $i] :
% 233.75/47.30 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v0) = 0 &
% 233.75/47.30 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0))
% 233.75/47.30
% 233.75/47.30 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J)
% 233.75/47.30 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 233.75/47.30 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) = 0 &
% 233.75/47.30 c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 &
% 233.75/47.30 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0))
% 233.75/47.30
% 233.75/47.30 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J)
% 233.75/47.30 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 233.75/47.30 ? [v3: $i] : (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3) = 0 &
% 233.75/47.30 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & c_Int_OBit1(c_Int_OPls) = v1
% 233.75/47.30 & c_Int_OBit0(v1) = v2 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) =
% 233.75/47.30 v3 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 233.75/47.30
% 233.75/47.30 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J)
% 233.75/47.31 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 233.75/47.31 ? [v3: $i] : (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3) = 0 &
% 233.75/47.31 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & c_Int_OBit1(v1) = v2 &
% 233.75/47.31 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint,
% 233.75/47.31 v2) = v3 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 233.75/47.31
% 233.75/47.31 (fact_Numeral1__eq1__nat)
% 233.75/47.31 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] :
% 233.75/47.31 (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & c_Int_OBit1(c_Int_OPls) = v1 &
% 233.75/47.31 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v0 & $i(v1) & $i(v0))
% 233.75/47.31
% 233.75/47.31 (fact_One__nat__def)
% 233.75/47.31 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 233.75/47.31 (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 233.75/47.31 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & c_Nat_OSuc(v1) = v0 & $i(v1)
% 233.75/47.31 & $i(v0))
% 233.75/47.31
% 233.75/47.31 (fact_Pls__def)
% 233.75/47.31 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Int_OPls & $i(tc_Int_Oint) &
% 233.75/47.31 $i(c_Int_OPls)
% 233.75/47.31
% 233.75/47.31 (fact_Suc3__eq__add__3)
% 233.75/47.31 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 233.75/47.31 (c_Int_OBit1(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 233.75/47.31 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 233.75/47.31 $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 233.75/47.31 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v3) = v4) | ~ $i(v3) | ?
% 233.75/47.31 [v5: $i] : ? [v6: $i] : (c_Nat_OSuc(v6) = v4 & c_Nat_OSuc(v5) = v6 &
% 233.75/47.31 c_Nat_OSuc(v3) = v5 & $i(v6) & $i(v5) & $i(v4))))
% 233.75/47.31
% 233.75/47.31 (fact_Suc__diff__1)
% 233.75/47.32 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 233.75/47.32 (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 &
% 233.75/47.32 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) & ! [v2:
% 233.75/47.32 $i] : ! [v3: $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2,
% 233.75/47.32 v1) = v3) | ~ $i(v2) | ? [v4: any] : ? [v5: $i] : (c_Nat_OSuc(v3) =
% 233.75/47.32 v5 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) = v4 & $i(v5) &
% 233.75/47.32 ( ~ (v4 = 0) | v5 = v2))))
% 233.75/47.32
% 233.75/47.32 (fact_Suc__diff__eq__diff__pred)
% 233.75/47.32 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 233.75/47.32 (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 233.75/47.32 v1) = v2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = v0
% 233.75/47.32 & $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 233.75/47.32 [v6: $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v4, v2) = v5) |
% 233.75/47.32 ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v5) = v6) | ~ $i(v4) |
% 233.75/47.32 ~ $i(v3) | ? [v7: any] : ? [v8: $i] : ? [v9: $i] :
% 233.75/47.32 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v8, v4) = v9 & c_Nat_OSuc(v3)
% 233.75/47.32 = v8 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v4) = v7 & $i(v9)
% 233.75/47.32 & $i(v8) & ( ~ (v7 = 0) | v9 = v6))))
% 233.75/47.32
% 233.75/47.32 (fact_Suc__neq__Zero)
% 233.75/47.32 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 233.75/47.32 & $i(v0) & ! [v1: $i] : ( ~ (c_Nat_OSuc(v1) = v0) | ~ $i(v1)))
% 233.75/47.32
% 233.75/47.32 (fact_Suc__not__Zero)
% 233.75/47.32 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 233.75/47.32 & $i(v0) & ! [v1: $i] : ( ~ (c_Nat_OSuc(v1) = v0) | ~ $i(v1)))
% 233.75/47.32
% 233.75/47.32 (fact_Suc__pred)
% 234.18/47.33 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 234.18/47.33 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & c_Nat_OSuc(v0) = v1 & $i(v1)
% 234.18/47.33 & $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~
% 234.18/47.33 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3) | ~ $i(v2) | ?
% 234.18/47.33 [v4: any] : ? [v5: $i] : (c_Nat_OSuc(v3) = v5 &
% 234.18/47.33 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) = v4 & $i(v5) & ( ~
% 234.18/47.33 (v4 = 0) | v5 = v2))))
% 234.18/47.33
% 234.18/47.33 (fact_Suc__pred_H)
% 234.18/47.33 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 234.18/47.33 (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 &
% 234.18/47.33 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) & ! [v2:
% 234.18/47.33 $i] : ! [v3: $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2,
% 234.18/47.33 v1) = v3) | ~ $i(v2) | ? [v4: any] : ? [v5: $i] : (c_Nat_OSuc(v3) =
% 234.18/47.33 v5 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) = v4 & $i(v5) &
% 234.18/47.33 ( ~ (v4 = 0) | v5 = v2))))
% 234.18/47.33
% 234.18/47.33 (fact_Zero__neq__Suc)
% 234.18/47.33 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 234.18/47.33 & $i(v0) & ! [v1: $i] : ( ~ (c_Nat_OSuc(v1) = v0) | ~ $i(v1)))
% 234.18/47.33
% 234.18/47.33 (fact_Zero__not__Suc)
% 234.18/47.33 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 234.18/47.33 & $i(v0) & ! [v1: $i] : ( ~ (c_Nat_OSuc(v1) = v0) | ~ $i(v1)))
% 234.18/47.33
% 234.18/47.33 (fact__0961_A_P_Areal_A_ISuc_A_If_A_IN1_A_L_AN2_J_J_J_A_060_061_A1_A_P_Areal_A_ISuc_A_IN1_A_L_AN2_J_J_096)
% 234.18/47.34 $i(v_f____) & $i(v_N2____) & $i(v_N1____) & $i(tc_Nat_Onat) &
% 234.18/47.34 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 234.18/47.34 ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 234.18/47.34 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v8) = 0 &
% 234.18/47.34 hAPP(v_f____, v1) = v2 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 234.18/47.34 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, v7) = v8 &
% 234.18/47.34 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, v4) = v5 &
% 234.18/47.34 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v1 &
% 234.18/47.34 c_Nat_OSuc(v2) = v3 & c_Nat_OSuc(v1) = v6 & c_RealDef_Oreal(tc_Nat_Onat, v6)
% 234.18/47.34 = v7 & c_RealDef_Oreal(tc_Nat_Onat, v3) = v4 & $i(v8) & $i(v7) & $i(v6) &
% 234.18/47.34 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 234.18/47.34
% 234.18/47.34 (fact__0962_A_P_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_060_Areal_A_ISuc_A_IN1_A_L_AN2_J_J_096)
% 234.18/47.34 $i(v_N2____) & $i(v_N1____) & $i(tc_Nat_Onat) & $i(v_s____) & $i(v_z____) &
% 234.18/47.34 $i(v_p) & $i(tc_Complex_Ocomplex) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ?
% 234.18/47.34 [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i]
% 234.18/47.34 : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ?
% 234.18/47.34 [v11: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 234.18/47.34 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 234.18/47.34 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = v3 &
% 234.18/47.34 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 234.18/47.34 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v5 &
% 234.18/47.34 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v4, v5) = v6 &
% 234.18/47.34 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v6) = v7 &
% 234.18/47.34 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v7) = v8 &
% 234.18/47.34 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v9 &
% 234.18/47.34 c_Nat_OSuc(v9) = v10 & c_RealDef_Oreal(tc_Nat_Onat, v10) = v11 &
% 234.18/47.34 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v11) = 0 & $i(v11) &
% 234.18/47.34 $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 234.18/47.34 $i(v2) & $i(v1) & $i(v0))
% 234.18/47.34
% 234.18/47.34 (fact__096EX_Ad_0620_O_AALL_Aw_O_A0_A_060_Acmod_A_Iw_A_N_Az_J_A_G_Acmod_A_Iw_A_N_Az_J_A_060_Ad_A_N_N_062_Acmod_A_Ipoly_Ap_Aw_A_N_Apoly_Ap_Az_J_A_060_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_P_A2_096)
% 234.18/47.35 $i(v_s____) & $i(v_z____) & $i(v_p) & $i(tc_Complex_Ocomplex) & $i(c_Int_OPls)
% 234.18/47.35 & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i]
% 234.18/47.35 : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ?
% 234.18/47.36 [v9: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 234.18/47.36 c_Int_OBit1(c_Int_OPls) = v6 & c_Int_OBit0(v6) = v7 &
% 234.18/47.36 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v7) = v8 &
% 234.18/47.36 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = v1 &
% 234.18/47.36 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 &
% 234.18/47.36 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v3 &
% 234.18/47.36 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v3) = v4 &
% 234.18/47.36 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v4) = v5 &
% 234.18/47.36 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v8) = v9 & $i(v9) &
% 234.18/47.36 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 234.18/47.36 $i(v0) & ? [v10: $i] : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 234.18/47.36 v10) = 0 & $i(v10) & ! [v11: $i] : ! [v12: $i] : ! [v13: $i] : ( ~
% 234.18/47.36 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v12) = v13) | ~
% 234.18/47.36 (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v11, v_z____) = v12)
% 234.18/47.36 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v10) = 0) |
% 234.18/47.36 ~ $i(v11) | ? [v14: any] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] :
% 234.18/47.36 ? [v18: any] : (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v11) = v15
% 234.18/47.36 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v16) = v17 &
% 234.18/47.36 c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v15, v1) = v16 &
% 234.18/47.36 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v17, v9) = v18 &
% 234.18/47.36 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v13) = v14 &
% 234.18/47.36 $i(v17) & $i(v16) & $i(v15) & ( ~ (v14 = 0) | v18 = 0)))))
% 234.18/47.36
% 234.18/47.36 (fact__096EX_Af_O_AALL_Ax_O_Acmod_A_If_Ax_J_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A_If_Ax_J_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_Ax_J_096)
% 234.18/47.36 $i(v_r) & $i(tc_Nat_Onat) & $i(v_s____) & $i(v_p) & $i(tc_Complex_Ocomplex) &
% 234.18/47.36 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 234.18/47.36 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 234.18/47.36 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v0 & $i(v1) &
% 234.18/47.36 $i(v0) & ? [v2: $i] : ($i(v2) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 234.18/47.36 ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : !
% 234.18/47.36 [v11: int] : (v11 = 0 | ~ (hAPP(v2, v3) = v4) | ~
% 234.18/47.36 (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v4) = v5) | ~
% 234.18/47.36 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6) | ~
% 234.18/47.36 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v8) = v9) | ~
% 234.18/47.36 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v9) = v10) | ~
% 234.18/47.36 (c_Nat_OSuc(v3) = v7) | ~ (c_RealDef_Oreal(tc_Nat_Onat, v7) = v8) | ~
% 234.18/47.36 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v10) = v11) | ~
% 234.18/47.36 $i(v3)) & ! [v3: $i] : ! [v4: $i] : ( ~ (hAPP(v2, v3) = v4) | ~
% 234.18/47.36 $i(v3) | ? [v5: $i] :
% 234.18/47.36 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v_r) = 0 &
% 234.18/47.36 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 &
% 234.18/47.36 $i(v5)))))
% 234.18/47.36
% 234.18/47.36 (fact__096EX_An_O_A2_A_P_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_060_Areal_An_096)
% 234.18/47.36 $i(tc_Nat_Onat) & $i(v_s____) & $i(v_z____) & $i(v_p) &
% 234.18/47.36 $i(tc_Complex_Ocomplex) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 234.18/47.36 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ?
% 234.18/47.36 [v6: $i] : ? [v7: $i] : ? [v8: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 234.18/47.36 c_Int_OBit0(v0) = v1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 234.18/47.36 v1) = v2 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = v3 &
% 234.18/47.36 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 234.18/47.36 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v5 &
% 234.18/47.36 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v4, v5) = v6 &
% 234.18/47.36 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v6) = v7 &
% 234.18/47.36 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v7) = v8 & $i(v8) &
% 234.18/47.36 $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ?
% 234.18/47.36 [v9: $i] : ? [v10: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v9) = v10 &
% 234.18/47.36 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v10) = 0 & $i(v10) &
% 234.18/47.36 $i(v9)))
% 234.18/47.36
% 234.18/47.36 (fact__096N1_A_L_AN2_A_060_061_Af_A_IN1_A_L_AN2_J_096)
% 234.18/47.37 $i(v_f____) & $i(v_N2____) & $i(v_N1____) & $i(tc_Nat_Onat) & ? [v0: $i] : ?
% 234.18/47.37 [v1: $i] : (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v1) = 0 &
% 234.18/47.37 hAPP(v_f____, v0) = v1 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____,
% 234.18/47.37 v_N2____) = v0 & $i(v1) & $i(v0))
% 234.18/47.37
% 234.18/47.37 (fact__096_091_124_A2_A_P_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_060_Areal_A_ISuc_A_IN1_A_L_AN2_J_J_059_A0_A_060_A2_A_P_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_124_093_061_061_062_Ainverse_A_Ireal_A_ISuc_A_IN1_A_L_AN2_J_J_J_A_060_Ainverse_A_I2_A_P_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_J_096)
% 234.18/47.37 $i(v_N2____) & $i(v_N1____) & $i(tc_Nat_Onat) & $i(v_s____) & $i(v_z____) &
% 234.18/47.37 $i(v_p) & $i(tc_Complex_Ocomplex) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ?
% 234.18/47.37 [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i]
% 234.18/47.37 : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ?
% 234.18/47.37 [v11: $i] : ? [v12: any] : ? [v13: $i] : ? [v14: any] : ? [v15: $i] : ?
% 234.18/47.37 [v16: $i] : ? [v17: any] :
% 234.18/47.37 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v11) = v15 &
% 234.18/47.37 c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v8) = v16 &
% 234.18/47.37 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v13 &
% 234.18/47.37 c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 234.18/47.37 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 234.18/47.37 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = v3 &
% 234.18/47.37 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 234.18/47.37 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v5 &
% 234.18/47.37 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v4, v5) = v6 &
% 234.18/47.37 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v6) = v7 &
% 234.18/47.37 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v7) = v8 &
% 234.18/47.37 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v9 &
% 234.18/47.37 c_Nat_OSuc(v9) = v10 & c_RealDef_Oreal(tc_Nat_Onat, v10) = v11 &
% 234.18/47.37 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v15, v16) = v17 &
% 234.18/47.37 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v8) = v14 &
% 234.18/47.37 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v11) = v12 & $i(v16) &
% 234.18/47.37 $i(v15) & $i(v13) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 234.18/47.37 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v14 = 0) | ~
% 234.18/47.37 (v12 = 0) | v17 = 0))
% 234.18/47.37
% 234.18/47.37 (fact__096_B_Bn_O_AEX_Az_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_An_J_096)
% 234.18/47.37 $i(v_r) & $i(tc_Nat_Onat) & $i(v_s____) & $i(v_p) & $i(tc_Complex_Ocomplex) &
% 234.18/47.37 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 234.18/47.37 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 234.18/47.38 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v0 & $i(v1) &
% 234.18/47.38 $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~ (c_Nat_OSuc(v2) = v3) | ~ $i(v2) |
% 234.18/47.38 ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 234.18/47.38 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v4) = v5 &
% 234.18/47.38 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v5) = v6 &
% 234.18/47.38 c_RealDef_Oreal(tc_Nat_Onat, v3) = v4 & $i(v6) & $i(v5) & $i(v4) & ?
% 234.18/47.38 [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] :
% 234.18/47.38 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v8, v_r) = 0 &
% 234.18/47.38 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v7) = v9 &
% 234.18/47.38 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v9) = v10 &
% 234.18/47.38 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v7) = v8 &
% 234.18/47.38 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v6) = 0 & $i(v10)
% 234.18/47.38 & $i(v9) & $i(v8) & $i(v7)))))
% 234.18/47.38
% 234.18/47.38 (fact__096_B_Bn_O_A_N_As_A_060_061_Acmod_A_Ipoly_Ap_A_Ig_An_J_J_096)
% 234.18/47.38 $i(v_s____) & $i(v_p) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ?
% 234.18/47.38 [v0: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v0 &
% 234.18/47.38 $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (v_g____(v1) = v2) | ~ $i(v1) | ?
% 234.18/47.38 [v3: $i] : ? [v4: $i] :
% 234.18/47.38 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v4) = 0 &
% 234.18/47.38 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v2) = v3 &
% 234.18/47.38 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 & $i(v4) &
% 234.18/47.38 $i(v3))))
% 234.18/47.38
% 234.18/47.38 (fact__096_B_Bthesis_O_A_I_B_BN2_O_A2_A_P_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_060_Areal_AN2_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096)
% 234.18/47.38 $i(tc_Nat_Onat) & $i(v_s____) & $i(v_z____) & $i(v_p) &
% 234.18/47.38 $i(tc_Complex_Ocomplex) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 234.18/47.38 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ?
% 234.18/47.38 [v6: $i] : ? [v7: $i] : ? [v8: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 234.18/47.38 c_Int_OBit0(v0) = v1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 234.18/47.38 v1) = v2 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = v3 &
% 234.18/47.38 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 234.18/47.38 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v5 &
% 234.18/47.38 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v4, v5) = v6 &
% 234.18/47.38 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v6) = v7 &
% 234.18/47.38 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v7) = v8 & $i(v8) &
% 234.18/47.38 $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ?
% 234.18/47.38 [v9: $i] : ? [v10: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v9) = v10 &
% 234.18/47.38 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v10) = 0 & $i(v10) &
% 234.18/47.38 $i(v9)))
% 234.18/47.38
% 234.18/47.38 (fact__096_B_Bthesis_O_A_I_B_Bd_O_A_091_124_A0_A_060_Ad_059_AALL_Aw_O_A0_A_060_Acmod_A_Iw_A_N_Az_J_A_G_Acmod_A_Iw_A_N_Az_J_A_060_Ad_A_N_N_062_Acmod_A_Ipoly_Ap_Aw_A_N_Apoly_Ap_Az_J_A_060_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_P_A2_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096)
% 234.18/47.39 $i(v_s____) & $i(v_z____) & $i(v_p) & $i(tc_Complex_Ocomplex) & $i(c_Int_OPls)
% 234.18/47.39 & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i]
% 234.18/47.39 : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ?
% 234.18/47.39 [v9: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 234.18/47.39 c_Int_OBit1(c_Int_OPls) = v6 & c_Int_OBit0(v6) = v7 &
% 234.18/47.39 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v7) = v8 &
% 234.18/47.39 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = v1 &
% 234.18/47.39 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 &
% 234.18/47.39 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v3 &
% 234.18/47.39 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v3) = v4 &
% 234.18/47.39 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v4) = v5 &
% 234.18/47.39 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v8) = v9 & $i(v9) &
% 234.18/47.39 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 234.18/47.39 $i(v0) & ? [v10: $i] : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 234.18/47.39 v10) = 0 & $i(v10) & ! [v11: $i] : ! [v12: $i] : ! [v13: $i] : ( ~
% 234.18/47.39 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v12) = v13) | ~
% 234.18/47.39 (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v11, v_z____) = v12)
% 234.18/47.39 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v10) = 0) |
% 234.18/47.39 ~ $i(v11) | ? [v14: any] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] :
% 234.18/47.39 ? [v18: any] : (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v11) = v15
% 234.18/47.39 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v16) = v17 &
% 234.47/47.39 c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v15, v1) = v16 &
% 234.47/47.39 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v17, v9) = v18 &
% 234.47/47.39 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v13) = v14 &
% 234.47/47.39 $i(v17) & $i(v16) & $i(v15) & ( ~ (v14 = 0) | v18 = 0)))))
% 234.47/47.39
% 234.47/47.39 (fact__096_B_By_O_A_IEX_Az_Ax_O_Acmod_Az_A_060_061_Ar_A_G_A_N_A_I_N_Acmod_A_Ipoly_Ap_Az_J_J_A_060_Ay_J_A_061_A_I_N_As_A_060_Ay_J_096)
% 234.47/47.39 $i(v_r) & $i(v_s____) & $i(v_p) & $i(tc_Complex_Ocomplex) &
% 234.47/47.39 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 234.47/47.39 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v0 & $i(v0) & !
% 234.47/47.39 [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 234.47/47.39 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) = v2) | ~ $i(v1)
% 234.47/47.39 | ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (
% 234.47/47.39 ~ (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v3) = v4) | ~
% 234.47/47.39 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5) | ~
% 234.47/47.39 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v6) = v7) | ~
% 234.47/47.40 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v5) = v6) | ~
% 234.47/47.40 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v1) = 0) | ~
% 234.47/47.40 $i(v3) | ? [v8: $i] : ? [v9: int] : ( ~ (v9 = 0) &
% 234.47/47.40 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v8, v_r) = v9 &
% 234.47/47.40 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v8 &
% 234.47/47.40 $i(v8)))) & ! [v1: $i] : ( ~
% 234.47/47.40 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) = 0) | ~ $i(v1)
% 234.47/47.40 | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ?
% 234.47/47.40 [v7: $i] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v_r) =
% 234.47/47.40 0 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v2) = v4 &
% 234.47/47.40 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 &
% 234.47/47.40 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 &
% 234.47/47.40 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v6) = v7 &
% 234.47/47.40 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v5) = v6 &
% 234.47/47.40 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v1) = 0 & $i(v7) &
% 234.47/47.40 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2))))
% 234.47/47.40
% 234.47/47.40 (fact__096_B_Bz_Ax_O_A_091_124_Acmod_Az_A_060_061_Ar_059_Acmod_A_Ipoly_Ap_Az_J_A_061_A_N_Ax_059_A_126_Ax_A_060_A1_A_124_093_A_061_061_062_AFalse_096)
% 234.47/47.40 $i(v_r) & $i(v_p) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0:
% 234.47/47.40 $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1:
% 234.47/47.40 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~
% 234.47/47.40 (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v2) = v3) | ~
% 234.47/47.40 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) = v4) | ~ $i(v2)
% 234.47/47.40 | ~ $i(v1) | ? [v5: $i] : ? [v6: any] : ? [v7: $i] : ? [v8: $i] :
% 234.47/47.40 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v_r) = v6 &
% 234.47/47.40 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v7 &
% 234.47/47.40 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v5 &
% 234.47/47.40 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v8 & $i(v8) &
% 234.47/47.40 $i(v7) & $i(v5) & ( ~ (v8 = v7) | ~ (v6 = 0)))))
% 234.47/47.40
% 234.47/47.40 (fact__096_IEX_Az_Ax_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_060_A_N_As_J_A_061_A_I_N_As_A_060_A_N_As_J_096)
% 234.47/47.40 $i(v_r) & $i(v_s____) & $i(v_p) & $i(tc_Complex_Ocomplex) &
% 234.47/47.40 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: any] :
% 234.47/47.40 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v0 &
% 234.47/47.40 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v0) = v1 & $i(v0) & ((v1
% 234.47/47.40 = 0 & ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 234.47/47.40 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v_r) = 0 &
% 234.47/47.40 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v2) = v4 &
% 234.47/47.40 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 &
% 234.47/47.40 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 &
% 234.47/47.40 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v0) = 0 & $i(v5) &
% 234.47/47.40 $i(v4) & $i(v3) & $i(v2))) | ( ~ (v1 = 0) & ! [v2: $i] : ! [v3: $i]
% 234.47/47.40 : ( ~ (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v2) = v3) | ~
% 234.47/47.40 $i(v2) | ? [v4: $i] : ? [v5: any] : ? [v6: $i] : ? [v7: any] :
% 234.47/47.40 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v_r) = v5 &
% 234.47/47.40 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v6 &
% 234.47/47.40 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v4 &
% 234.47/47.40 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v0) = v7 &
% 234.47/47.40 $i(v6) & $i(v4) & ( ~ (v7 = 0) | ~ (v5 = 0)))))))
% 234.47/47.40
% 234.47/47.41 (fact__096cmod_A0_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A0_J_A_061_A_N_A_I_N_Acmod_A_Ipoly_Ap_A0_J_J_096)
% 234.47/47.41 $i(v_r) & $i(v_p) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0:
% 234.47/47.41 $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 234.47/47.41 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v_r) = 0 &
% 234.47/47.41 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 &
% 234.47/47.41 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v0) = v2 &
% 234.47/47.41 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 &
% 234.47/47.41 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v1 &
% 234.47/47.41 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v4) = v3 &
% 234.47/47.41 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v4 & $i(v4) & $i(v3)
% 234.47/47.41 & $i(v2) & $i(v1) & $i(v0))
% 234.47/47.41
% 234.47/47.41 (fact__096cmod_A_Ipoly_Ap_A_Ig_A_If_A_IN1_A_L_AN2_J_J_J_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_A_If_A_IN1_A_L_AN2_J_J_J_096)
% 234.47/47.41 $i(v_f____) & $i(v_N2____) & $i(v_N1____) & $i(tc_Nat_Onat) & $i(v_s____) &
% 234.47/47.41 $i(v_p) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 234.47/47.41 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i]
% 234.47/47.41 : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : (hAPP(v_f____, v0)
% 234.47/47.41 = v1 & v_g____(v1) = v2 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v6 &
% 234.47/47.41 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v2) = v3 &
% 234.47/47.41 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 234.47/47.41 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v5 &
% 234.47/47.41 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v8) = v9 &
% 234.47/47.41 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v0 &
% 234.47/47.41 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v9) = v10 & c_Nat_OSuc(v1)
% 234.47/47.41 = v7 & c_RealDef_Oreal(tc_Nat_Onat, v7) = v8 &
% 234.47/47.41 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v10) = 0 & $i(v10) &
% 234.47/47.41 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 234.47/47.41 $i(v1) & $i(v0))
% 234.47/47.41
% 234.47/47.41 (fact_abs__add__one__gt__zero)
% 234.47/47.41 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 234.47/47.41 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 234.47/47.41 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 234.47/47.41 [v2: $i] : ! [v3: $i] : ( ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,
% 234.47/47.41 v2) = v3) | ~ $i(v2) | ? [v4: $i] :
% 234.47/47.41 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v3) = v4 &
% 234.47/47.41 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) = 0 & $i(v4))))
% 234.47/47.41
% 234.47/47.41 (fact_abs__add__one__not__less__self)
% 234.47/47.42 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 234.47/47.42 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 234.47/47.42 [v2: $i] : ! [v3: $i] : ( ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,
% 234.47/47.42 v1) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v0)
% 234.47/47.42 = v3) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v1) = 0)
% 234.47/47.42 | ~ $i(v1)))
% 234.47/47.42
% 234.47/47.42 (fact_abs__eq__0)
% 234.47/47.42 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (c_Groups_Oabs__class_Oabs(v1,
% 234.47/47.42 v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: $i] :
% 234.47/47.42 (class_Groups_Oordered__ab__group__add__abs(v1) = v3 &
% 234.47/47.42 c_Groups_Ozero__class_Ozero(v1) = v4 & $i(v4) & ( ~ (v3 = 0) | (( ~ (v4 =
% 234.47/47.42 v2) | v2 = v0) & ( ~ (v4 = v0) | v2 = v0)))))
% 234.47/47.42
% 234.47/47.42 (fact_abs__norm__cancel)
% 234.47/47.42 $i(tc_RealDef_Oreal) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 234.47/47.42 (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 234.47/47.42 [v3: any] : ? [v4: $i] : (class_RealVector_Oreal__normed__vector(v1) = v3 &
% 234.47/47.42 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v4 & $i(v4) & ( ~ (v3 =
% 234.47/47.42 0) | v4 = v2)))
% 234.47/47.42
% 234.47/47.42 (fact_abs__real__def)
% 234.47/47.42 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 234.47/47.42 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 234.47/47.42 ! [v2: int] : (v2 = 0 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 234.47/47.42 v1, v0) = v2) | ~ $i(v1) |
% 234.47/47.42 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v1) & ! [v1: $i] : ( ~
% 234.47/47.42 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) = 0) | ~ $i(v1)
% 234.47/47.42 | ? [v2: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) =
% 234.47/47.42 v2 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v2 & $i(v2))))
% 234.47/47.42
% 234.47/47.42 (fact_abs__real__of__nat__cancel)
% 234.47/47.42 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ! [v0: $i] : ! [v1: $i] : ( ~
% 234.47/47.42 (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1) | ~ $i(v0) |
% 234.47/47.42 (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v1 & $i(v1)))
% 234.47/47.42
% 234.47/47.42 (fact_abs__zmult__eq__1)
% 234.47/47.43 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 &
% 234.47/47.43 $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 234.47/47.43 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v2, v1) = v3) | ~ $i(v2) | ~
% 234.47/47.43 $i(v1) | ? [v4: $i] : ? [v5: $i] :
% 234.47/47.43 (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v3) = v4 &
% 234.47/47.43 c_Groups_Oabs__class_Oabs(tc_Int_Oint, v2) = v5 & $i(v5) & $i(v4) & ( ~
% 234.47/47.43 (v4 = v0) | v5 = v0))))
% 234.47/47.43
% 234.47/47.43 (fact_add1__zle__eq)
% 234.47/47.43 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 &
% 234.47/47.43 $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 |
% 234.47/47.43 ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v1) = v4) | ~
% 234.47/47.43 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v0) = v3) | ~ $i(v2) | ~
% 234.47/47.43 $i(v1) | ? [v5: int] : ( ~ (v5 = 0) &
% 234.47/47.43 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v5)) & ! [v1: $i]
% 234.47/47.43 : ! [v2: $i] : ! [v3: $i] : ( ~
% 234.47/47.43 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v1) = 0) | ~
% 234.47/47.43 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v0) = v3) | ~ $i(v2) | ~
% 234.47/47.43 $i(v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = 0))
% 234.47/47.43
% 234.47/47.43 (fact_add__2__eq__Suc)
% 234.47/47.43 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 234.47/47.43 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 234.47/47.43 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 234.47/47.43 $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 234.47/47.43 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v3) = v4) | ~ $i(v3) | ?
% 234.47/47.43 [v5: $i] : (c_Nat_OSuc(v5) = v4 & c_Nat_OSuc(v3) = v5 & $i(v5) & $i(v4))))
% 234.47/47.43
% 234.47/47.43 (fact_add__2__eq__Suc_H)
% 234.47/47.44 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 234.47/47.44 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 234.47/47.44 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 234.47/47.44 $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 234.47/47.44 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v2) = v4) | ~ $i(v3) | ?
% 234.47/47.44 [v5: $i] : (c_Nat_OSuc(v5) = v4 & c_Nat_OSuc(v3) = v5 & $i(v5) & $i(v4))))
% 234.47/47.44
% 234.47/47.44 (fact_add__eq__0__iff)
% 234.47/47.44 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 234.47/47.44 (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 234.47/47.44 $i(v0) | ? [v4: any] : ? [v5: $i] : ? [v6: $i] :
% 234.47/47.44 (class_Groups_Ogroup__add(v2) = v4 & c_Groups_Ozero__class_Ozero(v2) = v5 &
% 234.47/47.44 c_Groups_Ouminus__class_Ouminus(v2, v1) = v6 & $i(v6) & $i(v5) & ( ~ (v4 =
% 234.47/47.44 0) | (( ~ (v6 = v0) | v5 = v3) & ( ~ (v5 = v3) | v6 = v0)))))
% 234.47/47.44
% 234.47/47.44 (fact_add__eq__if)
% 234.47/47.45 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 234.47/47.45 (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 &
% 234.47/47.45 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) & ! [v2:
% 234.47/47.45 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v3 = v0 | ~
% 234.47/47.45 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1) = v4) | ~
% 234.47/47.45 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v4, v2) = v5) | ~ $i(v3) | ~
% 234.47/47.45 $i(v2) | ? [v6: $i] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v2) =
% 234.47/47.45 v6 & c_Nat_OSuc(v5) = v6 & $i(v6))) & ! [v2: $i] : ! [v3: $i] : (v3 =
% 234.47/47.45 v2 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v2) = v3) | ~
% 234.47/47.45 $i(v2)))
% 234.47/47.45
% 234.47/47.45 (fact_add__eq__self__zero)
% 234.47/47.45 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 234.47/47.45 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 234.47/47.45 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v2) | ~ $i(v2) | ~
% 234.47/47.45 $i(v1)))
% 234.47/47.45
% 234.47/47.45 (fact_add__gr__0)
% 234.47/47.45 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 234.47/47.45 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 = 0
% 234.47/47.45 | v3 = 0 | ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) = v3) |
% 234.47/47.45 ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) = v4) | ~ $i(v2) |
% 234.47/47.45 ~ $i(v1) | ? [v5: $i] : ? [v6: int] : ( ~ (v6 = 0) &
% 234.47/47.45 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v5 &
% 234.47/47.45 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v5) = v6 & $i(v5))) & !
% 234.47/47.45 [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] : ( ~
% 234.47/47.45 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) = v3) | ~
% 234.47/47.45 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) = v4) | ~ $i(v2) | ~
% 234.47/47.45 $i(v1) | ? [v5: $i] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) =
% 234.47/47.45 v5 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v5) = 0 & $i(v5)) |
% 234.47/47.45 ( ~ (v4 = 0) & ~ (v3 = 0))))
% 234.47/47.45
% 234.47/47.45 (fact_add__is__0)
% 234.47/47.46 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 234.47/47.46 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 234.47/47.46 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v0) | ~ $i(v2) | ~
% 234.47/47.46 $i(v1) | (v2 = v0 & v1 = v0)) & ! [v1: $i] : (v1 = v0 | ~
% 234.47/47.46 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v0) = v1)))
% 234.47/47.46
% 234.47/47.46 (fact_add__is__1)
% 234.82/47.46 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 234.82/47.46 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & c_Nat_OSuc(v0) = v1 & $i(v1)
% 234.82/47.46 & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~
% 234.82/47.46 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v2) = v4) | ~ $i(v3) | ~
% 234.82/47.46 $i(v2) | (( ~ (v3 = v1) | ~ (v2 = v0)) & ( ~ (v3 = v0) | ~ (v2 = v1))))
% 234.82/47.46 & ! [v2: $i] : ! [v3: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,
% 234.82/47.46 v3, v2) = v1) | ~ $i(v3) | ~ $i(v2) | (v3 = v1 & v2 = v0) | (v3 = v0
% 234.82/47.46 & v2 = v1)))
% 234.82/47.46
% 234.82/47.46 (fact_add__special_I2_J)
% 234.82/47.46 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0
% 234.82/47.46 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 234.82/47.46 (c_Int_Onumber__class_Onumber__of(v2, v3) = v4) | ~
% 234.82/47.46 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v3) | ~ $i(v2) | ~
% 234.82/47.46 $i(v1) | ? [v5: any] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 234.82/47.46 (class_Int_Onumber__ring(v2) = v5 & c_Groups_Oone__class_Oone(v2) = v6 &
% 234.82/47.46 c_Int_Onumber__class_Onumber__of(v2, v1) = v7 &
% 234.82/47.46 c_Groups_Oplus__class_Oplus(v2, v6, v7) = v8 & $i(v8) & $i(v7) & $i(v6)
% 234.82/47.46 & ( ~ (v5 = 0) | v8 = v4))))
% 234.82/47.46
% 234.82/47.46 (fact_add__special_I3_J)
% 234.82/47.47 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0
% 234.82/47.47 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 234.82/47.47 (c_Int_Onumber__class_Onumber__of(v2, v3) = v4) | ~
% 234.82/47.47 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~ $i(v2) | ~
% 234.82/47.47 $i(v1) | ? [v5: any] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 234.85/47.47 (class_Int_Onumber__ring(v2) = v5 & c_Groups_Oone__class_Oone(v2) = v7 &
% 234.85/47.47 c_Int_Onumber__class_Onumber__of(v2, v1) = v6 &
% 234.85/47.47 c_Groups_Oplus__class_Oplus(v2, v6, v7) = v8 & $i(v8) & $i(v7) & $i(v6)
% 234.85/47.47 & ( ~ (v5 = 0) | v8 = v4))))
% 234.85/47.47
% 234.85/47.47 (fact_bin__less__0__simps_I1_J)
% 234.85/47.47 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) &
% 234.85/47.47 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 &
% 234.85/47.47 c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) = v1 & $i(v0))
% 234.85/47.47
% 234.85/47.47 (fact_bin__less__0__simps_I3_J)
% 234.85/47.47 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 234.85/47.47 & $i(v0) & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 234.85/47.47 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = v2) | ~ $i(v1) | ?
% 234.85/47.47 [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) & c_Int_OBit0(v1) = v3 &
% 234.85/47.47 c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0) = v4 & $i(v3))) & !
% 234.85/47.47 [v1: $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = 0) | ~
% 234.85/47.47 $i(v1) | ? [v2: $i] : (c_Int_OBit0(v1) = v2 &
% 234.85/47.47 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) = 0 & $i(v2))))
% 234.85/47.47
% 234.85/47.47 (fact_bin__less__0__simps_I4_J)
% 234.85/47.47 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 234.85/47.47 & $i(v0) & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 234.85/47.47 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = v2) | ~ $i(v1) | ?
% 234.85/47.47 [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) & c_Int_OBit1(v1) = v3 &
% 234.85/47.47 c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0) = v4 & $i(v3))) & !
% 234.85/47.47 [v1: $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = 0) | ~
% 234.85/47.47 $i(v1) | ? [v2: $i] : (c_Int_OBit1(v1) = v2 &
% 234.85/47.47 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) = 0 & $i(v2))))
% 234.85/47.47
% 234.85/47.47 (fact_calculation)
% 234.85/47.48 $i(v_r) & $i(v_p) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0:
% 234.85/47.48 $i] : ? [v1: any] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 234.85/47.48 v0, v_r) = v1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 234.85/47.48 $i(v0) & (v1 = 0 | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 234.85/47.48 (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v2) = v3 &
% 234.85/47.48 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 & $i(v4) &
% 234.85/47.48 $i(v3) & $i(v2) & ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: int]
% 234.85/47.48 : (v8 = 0 | ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4,
% 234.85/47.48 v7) = v8) | ~ (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v5) =
% 234.85/47.48 v6) | ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) =
% 234.85/47.48 v7) | ~ $i(v5) | ? [v9: $i] : ? [v10: int] : ( ~ (v10 = 0) &
% 234.85/47.48 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9, v_r) = v10 &
% 234.85/47.48 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v9 &
% 234.85/47.48 $i(v9))))))
% 234.85/47.48
% 234.85/47.48 (fact_d_I1_J)
% 234.85/47.48 $i(v_d____) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 234.85/47.48 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 234.85/47.48 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_d____) = 0 & $i(v0))
% 234.85/47.48
% 234.85/47.48 (fact_d_I2_J)
% 234.85/47.48 $i(v_d____) & $i(v_s____) & $i(v_z____) & $i(v_p) & $i(tc_Complex_Ocomplex) &
% 234.85/47.48 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 234.85/47.48 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 234.85/47.48 ? [v8: $i] : ? [v9: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0
% 234.85/47.48 & c_Int_OBit1(c_Int_OPls) = v6 & c_Int_OBit0(v6) = v7 &
% 234.85/47.48 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v7) = v8 &
% 234.85/47.48 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = v1 &
% 234.85/47.48 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 &
% 234.85/47.48 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v3 &
% 234.85/47.48 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v3) = v4 &
% 234.85/47.48 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v4) = v5 &
% 234.85/47.48 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v8) = v9 & $i(v9) &
% 234.85/47.48 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 234.85/47.48 $i(v0) & ! [v10: $i] : ! [v11: $i] : ( ~
% 234.85/47.48 (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v10) = v11) | ~ $i(v10) |
% 234.85/47.48 ? [v12: $i] : ? [v13: $i] : ? [v14: any] : ? [v15: any] : ? [v16: $i]
% 234.85/47.48 : ? [v17: $i] : ? [v18: any] :
% 234.85/47.48 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v16) = v17 &
% 234.85/47.48 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v12) = v13 &
% 234.85/47.48 c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v11, v1) = v16 &
% 234.85/47.48 c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v10, v_z____) = v12 &
% 234.85/47.48 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v17, v9) = v18 &
% 234.85/47.48 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v_d____) = v15 &
% 234.85/47.48 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v13) = v14 & $i(v17)
% 234.85/47.48 & $i(v16) & $i(v13) & $i(v12) & ( ~ (v15 = 0) | ~ (v14 = 0) | v18 =
% 234.85/47.48 0))))
% 234.85/47.48
% 234.85/47.48 (fact_decr__lemma)
% 234.85/47.49 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 234.85/47.49 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 &
% 234.85/47.49 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0) & ! [v2:
% 234.85/47.49 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 234.85/47.49 : ! [v8: $i] : ! [v9: $i] : ! [v10: int] : (v10 = 0 | ~
% 234.85/47.49 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v7, v4) = v8) | ~
% 234.85/47.49 (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v3, v8) = v9) | ~
% 234.85/47.49 (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v3, v2) = v5) | ~
% 234.85/47.49 (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v5) = v6) | ~
% 234.85/47.49 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v6, v1) = v7) | ~
% 234.85/47.49 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v9, v2) = v10) | ~ $i(v4) |
% 234.85/47.49 ~ $i(v3) | ~ $i(v2) | ? [v11: int] : ( ~ (v11 = 0) &
% 234.85/47.49 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v4) = v11)))
% 234.85/47.49
% 234.85/47.49 (fact_diff__0__eq__0)
% 234.85/47.49 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 234.85/47.49 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~
% 234.85/47.49 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v2) | ~ $i(v1)))
% 234.85/47.49
% 234.85/47.49 (fact_diff__Suc__less)
% 234.85/47.49 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 234.85/47.49 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 234.85/47.49 int] : (v5 = 0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v3) =
% 234.85/47.49 v4) | ~ (c_Nat_OSuc(v1) = v3) | ~
% 234.85/47.49 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v2) = v5) | ~ $i(v2) | ~
% 234.85/47.49 $i(v1) | ? [v6: int] : ( ~ (v6 = 0) &
% 234.85/47.49 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) = v6)))
% 234.85/47.49
% 234.85/47.49 (fact_diff__add__0)
% 234.85/47.49 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 234.85/47.49 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v0
% 234.85/47.49 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v3) = v4) | ~
% 234.85/47.49 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ $i(v2) | ~
% 234.85/47.49 $i(v1)))
% 234.85/47.49
% 234.85/47.49 (fact_diff__is__0__eq)
% 234.85/47.49 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 234.85/47.49 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 234.85/47.49 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3) | ~ $i(v2) | ~
% 234.85/47.49 $i(v1) | ? [v4: int] : ( ~ (v4 = 0) &
% 234.85/47.49 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) = v4)) & ! [v1:
% 234.85/47.49 $i] : ! [v2: $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2,
% 234.85/47.49 v1) = v0) | ~ $i(v2) | ~ $i(v1) |
% 234.85/47.49 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) = 0))
% 234.85/47.49
% 234.85/47.49 (fact_diff__is__0__eq_H)
% 234.85/47.49 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 234.85/47.49 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 234.85/47.49 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3) | ~ $i(v2) | ~
% 234.85/47.49 $i(v1) | ? [v4: int] : ( ~ (v4 = 0) &
% 234.85/47.49 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) = v4)))
% 234.85/47.49
% 234.85/47.49 (fact_diff__less)
% 234.85/47.50 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 234.85/47.50 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0
% 234.85/47.50 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v3) | ~
% 234.85/47.50 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v1) = v4) | ~ $i(v2) | ~
% 234.85/47.50 $i(v1) | ? [v5: any] : ? [v6: any] :
% 234.85/47.50 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) = v5 &
% 234.85/47.50 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) = v6 & ( ~ (v6 = 0) |
% 234.85/47.50 ~ (v5 = 0)))))
% 234.85/47.50
% 234.85/47.50 (fact_diff__self__eq__0)
% 234.85/47.50 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 234.85/47.50 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~
% 234.85/47.50 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v1) = v2) | ~ $i(v1)))
% 234.85/47.50
% 234.85/47.50 (fact_diff__special_I1_J)
% 234.85/47.50 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0
% 234.85/47.50 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 234.85/47.50 $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v2, v4) = v5) | ~
% 234.85/47.50 (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v3) | ~
% 234.85/47.50 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v3) = v4) | ~ $i(v2) | ~
% 234.85/47.50 $i(v1) | ? [v6: any] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 234.85/47.50 (class_Int_Onumber__ring(v2) = v6 & c_Groups_Oone__class_Oone(v2) = v7 &
% 234.85/47.50 c_Int_Onumber__class_Onumber__of(v2, v1) = v8 &
% 234.85/47.50 c_Groups_Ominus__class_Ominus(v2, v7, v8) = v9 & $i(v9) & $i(v8) &
% 234.85/47.50 $i(v7) & ( ~ (v6 = 0) | v9 = v5))))
% 234.85/47.50
% 234.85/47.50 (fact_diff__special_I2_J)
% 234.85/47.50 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] :
% 234.85/47.50 (c_Int_OBit1(c_Int_OPls) = v0 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,
% 234.85/47.50 v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 234.85/47.50 [v5: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v3, v4) = v5) | ~
% 234.85/47.50 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v4) | ~ $i(v3) | ~
% 234.85/47.50 $i(v2) | ? [v6: any] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 234.85/47.50 (class_Int_Onumber__ring(v3) = v6 & c_Groups_Oone__class_Oone(v3) = v8 &
% 234.85/47.50 c_Int_Onumber__class_Onumber__of(v3, v2) = v7 &
% 234.85/47.50 c_Groups_Ominus__class_Ominus(v3, v7, v8) = v9 & $i(v9) & $i(v8) &
% 234.85/47.50 $i(v7) & ( ~ (v6 = 0) | v9 = v5))))
% 234.85/47.50
% 234.85/47.50 (fact_diffs0__imp__equal)
% 235.02/47.50 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.02/47.50 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 235.02/47.50 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v0) | ~ $i(v2) | ~
% 235.02/47.50 $i(v1) | ? [v3: $i] : ( ~ (v3 = v0) &
% 235.02/47.50 c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3 & $i(v3))))
% 235.02/47.50
% 235.02/47.50 (fact_divide__Numeral1)
% 235.02/47.51 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & !
% 235.02/47.51 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~
% 235.02/47.51 (c_Int_Onumber__class_Onumber__of(v2, v0) = v3) | ~
% 235.02/47.51 (c_Rings_Oinverse__class_Odivide(v2, v1, v3) = v4) | ~ $i(v2) | ~ $i(v1)
% 235.02/47.51 | ? [v5: any] : ? [v6: any] : (class_Fields_Ofield(v2) = v5 &
% 235.02/47.51 class_Int_Onumber__ring(v2) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0)))))
% 235.02/47.51
% 235.02/47.51 (fact_divide__le__eq)
% 235.02/47.51 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.02/47.51 any] : ( ~ (c_Orderings_Oord__class_Oless__eq(v3, v4, v0) = v5) | ~
% 235.02/47.51 (c_Rings_Oinverse__class_Odivide(v3, v2, v1) = v4) | ~ $i(v3) | ~ $i(v2) |
% 235.02/47.51 ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: $i] : ? [v8: any] : ? [v9:
% 235.02/47.51 $i] : ? [v10: any] : ? [v11: any] : ? [v12: any] : ? [v13: any] :
% 235.02/47.51 (c_Groups_Otimes__class_Otimes(v3, v0, v1) = v9 &
% 235.02/47.51 c_Orderings_Oord__class_Oless__eq(v3, v9, v2) = v12 &
% 235.02/47.51 c_Orderings_Oord__class_Oless__eq(v3, v7, v0) = v13 &
% 235.02/47.51 c_Orderings_Oord__class_Oless__eq(v3, v2, v9) = v10 &
% 235.02/47.51 class_Fields_Olinordered__field__inverse__zero(v3) = v6 &
% 235.02/47.51 c_Groups_Ozero__class_Ozero(v3) = v7 & c_Orderings_Oord__class_Oless(v3,
% 235.02/47.51 v7, v1) = v8 & c_Orderings_Oord__class_Oless(v3, v1, v7) = v11 & $i(v9)
% 235.02/47.51 & $i(v7) & ( ~ (v6 = 0) | (( ~ (v5 = 0) | (( ~ (v8 = 0) | v10 = 0) & (v8 =
% 235.02/47.51 0 | (( ~ (v11 = 0) | v12 = 0) & (v13 = 0 | v11 = 0))))) & (v5 =
% 235.02/47.51 0 | (v8 = 0 & ~ (v10 = 0)) | ( ~ (v8 = 0) & ((v11 = 0 & ~ (v12 =
% 235.02/47.51 0)) | ( ~ (v13 = 0) & ~ (v11 = 0)))))))))
% 235.02/47.51
% 235.02/47.51 (fact_divide__less__eq)
% 235.02/47.51 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.02/47.51 any] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v1) = v4) | ~
% 235.02/47.51 (c_Orderings_Oord__class_Oless(v3, v4, v0) = v5) | ~ $i(v3) | ~ $i(v2) |
% 235.02/47.51 ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: $i] : ? [v8: any] : ? [v9:
% 235.02/47.51 $i] : ? [v10: any] : ? [v11: any] : ? [v12: any] : ? [v13: any] :
% 235.02/47.51 (c_Groups_Otimes__class_Otimes(v3, v0, v1) = v9 &
% 235.02/47.51 class_Fields_Olinordered__field__inverse__zero(v3) = v6 &
% 235.02/47.51 c_Groups_Ozero__class_Ozero(v3) = v7 & c_Orderings_Oord__class_Oless(v3,
% 235.02/47.51 v9, v2) = v12 & c_Orderings_Oord__class_Oless(v3, v7, v1) = v8 &
% 235.02/47.51 c_Orderings_Oord__class_Oless(v3, v7, v0) = v13 &
% 235.02/47.51 c_Orderings_Oord__class_Oless(v3, v2, v9) = v10 &
% 235.02/47.51 c_Orderings_Oord__class_Oless(v3, v1, v7) = v11 & $i(v9) & $i(v7) & ( ~
% 235.02/47.51 (v6 = 0) | (( ~ (v5 = 0) | (( ~ (v8 = 0) | v10 = 0) & (v8 = 0 | (( ~
% 235.02/47.51 (v11 = 0) | v12 = 0) & (v13 = 0 | v11 = 0))))) & (v5 = 0 |
% 235.02/47.51 (v8 = 0 & ~ (v10 = 0)) | ( ~ (v8 = 0) & ((v11 = 0 & ~ (v12 = 0)) |
% 235.02/47.51 ( ~ (v13 = 0) & ~ (v11 = 0)))))))))
% 235.02/47.51
% 235.02/47.51 (fact_divide__numeral__1)
% 235.02/47.52 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & !
% 235.02/47.52 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~
% 235.02/47.52 (c_Int_Onumber__class_Onumber__of(v2, v0) = v3) | ~
% 235.02/47.52 (c_Rings_Oinverse__class_Odivide(v2, v1, v3) = v4) | ~ $i(v2) | ~ $i(v1)
% 235.02/47.52 | ? [v5: any] : ? [v6: any] : (class_Fields_Ofield(v2) = v5 &
% 235.02/47.52 class_Int_Onumber__ring(v2) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0)))))
% 235.02/47.52
% 235.02/47.52 (fact_e)
% 235.02/47.52 $i(v_s____) & $i(v_z____) & $i(v_p) & $i(tc_Complex_Ocomplex) &
% 235.02/47.52 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 235.02/47.52 ? [v4: $i] : ? [v5: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 235.02/47.52 v0 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = v1 &
% 235.02/47.52 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 &
% 235.02/47.52 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v3 &
% 235.02/47.52 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v3) = v4 &
% 235.02/47.52 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v4) = v5 &
% 235.02/47.52 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5) = 0 & $i(v5) &
% 235.02/47.52 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 235.02/47.52
% 235.02/47.52 (fact_e2)
% 235.02/47.52 $i(v_s____) & $i(v_z____) & $i(v_p) & $i(tc_Complex_Ocomplex) & $i(c_Int_OPls)
% 235.02/47.52 & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i]
% 235.02/47.52 : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ?
% 235.02/47.52 [v9: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.02/47.52 c_Int_OBit1(c_Int_OPls) = v6 & c_Int_OBit0(v6) = v7 &
% 235.02/47.52 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v7) = v8 &
% 235.02/47.52 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = v1 &
% 235.02/47.52 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 &
% 235.02/47.52 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v3 &
% 235.02/47.52 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v3) = v4 &
% 235.02/47.52 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v4) = v5 &
% 235.02/47.52 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v8) = v9 &
% 235.02/47.52 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v9) = 0 & $i(v9) &
% 235.02/47.52 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 235.02/47.52 $i(v0))
% 235.02/47.52
% 235.02/47.52 (fact_eq__0__number__of)
% 235.02/47.52 $i(tc_Int_Oint) & $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] :
% 235.02/47.52 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) & ! [v1: $i] : !
% 235.02/47.52 [v2: int] : (v2 = 0 | ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1,
% 235.02/47.52 c_Int_OPls) = v2) | ~ $i(v1) | ? [v3: $i] : ( ~ (v3 = v0) &
% 235.02/47.52 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v3 & $i(v3))) & !
% 235.02/47.52 [v1: $i] : ( ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1,
% 235.02/47.52 c_Int_OPls) = 0) | ~ $i(v1) |
% 235.02/47.52 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v0))
% 235.02/47.52
% 235.02/47.52 (fact_eq__divide__2__times__iff)
% 235.02/47.53 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 235.02/47.53 $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 235.02/47.53 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) &
% 235.02/47.53 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 235.02/47.53 [v7: $i] : ! [v8: $i] : (v8 = v5 | ~
% 235.02/47.53 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v5) = v6) | ~
% 235.02/47.53 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v3) = v7) | ~
% 235.02/47.53 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v4, v7) = v8) | ~
% 235.02/47.53 $i(v5) | ~ $i(v4) | ~ $i(v3) | ? [v9: $i] : ( ~ (v9 = v6) &
% 235.02/47.53 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v4, v3) = v9 &
% 235.02/47.53 $i(v9))) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 235.02/47.53 [v7: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v5) =
% 235.02/47.53 v7) | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v3) = v6)
% 235.02/47.53 | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v4, v6) = v5) | ~
% 235.02/47.53 $i(v5) | ~ $i(v4) | ~ $i(v3) |
% 235.02/47.53 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v4, v3) = v7 &
% 235.02/47.53 $i(v7))))
% 235.02/47.53
% 235.02/47.53 (fact_eq__iff__diff__eq__0)
% 235.02/47.53 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.02/47.53 (c_Groups_Ominus__class_Ominus(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 235.02/47.53 ~ $i(v0) | ? [v4: any] : ? [v5: $i] : (class_Groups_Oab__group__add(v2) =
% 235.02/47.53 v4 & c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v5) & ( ~ (v4 = 0) | (( ~
% 235.02/47.53 (v5 = v3) | v1 = v0) & ( ~ (v1 = v0) | v5 = v3)))))
% 235.02/47.53
% 235.02/47.53 (fact_eq__neg__iff__add__eq__0)
% 235.02/47.53 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.02/47.53 (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 235.02/47.53 $i(v0) | ? [v4: any] : ? [v5: $i] : ? [v6: $i] :
% 235.02/47.53 (class_Groups_Ogroup__add(v2) = v4 & c_Groups_Ozero__class_Ozero(v2) = v6 &
% 235.02/47.53 c_Groups_Ouminus__class_Ouminus(v2, v0) = v5 & $i(v6) & $i(v5) & ( ~ (v4 =
% 235.02/47.53 0) | (( ~ (v6 = v3) | v5 = v1) & ( ~ (v5 = v1) | v6 = v3)))))
% 235.02/47.53
% 235.02/47.53 (fact_eq__number__of__0)
% 235.02/47.53 $i(tc_Int_Oint) & $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] :
% 235.02/47.53 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) & ! [v1: $i] : !
% 235.02/47.53 [v2: int] : (v2 = 0 | ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1,
% 235.02/47.53 c_Int_OPls) = v2) | ~ $i(v1) | ? [v3: $i] : ( ~ (v3 = v0) &
% 235.02/47.53 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v3 & $i(v3))) & !
% 235.02/47.53 [v1: $i] : ( ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1,
% 235.02/47.53 c_Int_OPls) = 0) | ~ $i(v1) |
% 235.02/47.53 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v0))
% 235.02/47.53
% 235.02/47.53 (fact_equal__neg__zero)
% 235.02/47.53 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 235.02/47.53 (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 235.02/47.53 [v3: any] : ? [v4: $i] : (class_Groups_Olinordered__ab__group__add(v1) = v3
% 235.02/47.53 & c_Groups_Ozero__class_Ozero(v1) = v4 & $i(v4) & ( ~ (v3 = 0) | (( ~ (v4
% 235.02/47.53 = v0) | v2 = v0) & ( ~ (v2 = v0) | v4 = v0)))))
% 235.14/47.53
% 235.14/47.53 (fact_expand__Suc)
% 235.14/47.54 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 235.14/47.54 (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 &
% 235.14/47.54 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) & ! [v2:
% 235.14/47.54 $i] : ! [v3: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2)
% 235.14/47.54 = v3) | ~ $i(v2) | ? [v4: any] : ? [v5: $i] : ? [v6: $i] :
% 235.14/47.54 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1) = v5 & c_Nat_OSuc(v5)
% 235.14/47.54 = v6 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) = v4 & $i(v6)
% 235.14/47.54 & $i(v5) & ( ~ (v4 = 0) | v6 = v3))))
% 235.14/47.54
% 235.14/47.54 (fact_fact__lemma)
% 235.14/47.54 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 235.14/47.54 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (c_Int_OBit1(c_Int_OPls)
% 235.14/47.54 = v0 & c_Int_OBit0(v1) = v2 & c_Int_OBit0(v0) = v1 &
% 235.14/47.54 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v4 &
% 235.14/47.54 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 & $i(v4) &
% 235.14/47.54 $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ( ~
% 235.14/47.54 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v4, v5) = v6) | ~ $i(v5) | ?
% 235.14/47.54 [v7: $i] : ? [v8: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,
% 235.14/47.54 v7, v3) = v8 & c_RealDef_Oreal(tc_Nat_Onat, v6) = v8 &
% 235.14/47.54 c_RealDef_Oreal(tc_Nat_Onat, v5) = v7 & $i(v8) & $i(v7))))
% 235.14/47.54
% 235.14/47.54 (fact_field__class_Onormalizing__field__rules_I2_J)
% 235.14/47.54 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.14/47.54 (c_Groups_Oone__class_Oone(v1) = v2) | ~
% 235.14/47.54 (c_Rings_Oinverse__class_Odivide(v1, v2, v0) = v3) | ~ $i(v1) | ~ $i(v0) |
% 235.14/47.54 ? [v4: any] : ? [v5: $i] : (class_Fields_Ofield(v1) = v4 &
% 235.14/47.54 c_Rings_Oinverse__class_Oinverse(v1, v0) = v5 & $i(v5) & ( ~ (v4 = 0) | v5
% 235.14/47.54 = v3)))
% 235.14/47.54
% 235.14/47.54 (fact_frac__eq__eq)
% 235.14/47.54 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.14/47.54 $i] : ! [v6: $i] : ( ~ (c_Rings_Oinverse__class_Odivide(v4, v1, v3) = v5) |
% 235.14/47.54 ~ (c_Rings_Oinverse__class_Odivide(v4, v0, v2) = v6) | ~ $i(v4) | ~
% 235.14/47.54 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v7: any] : ? [v8: $i] : ?
% 235.14/47.54 [v9: $i] : ? [v10: $i] : (c_Groups_Otimes__class_Otimes(v4, v1, v2) = v9 &
% 235.14/47.54 c_Groups_Otimes__class_Otimes(v4, v0, v3) = v10 & class_Fields_Ofield(v4)
% 235.14/47.54 = v7 & c_Groups_Ozero__class_Ozero(v4) = v8 & $i(v10) & $i(v9) & $i(v8) &
% 235.14/47.54 ( ~ (v7 = 0) | v8 = v3 | v8 = v2 | (( ~ (v10 = v9) | v6 = v5) & ( ~ (v6 =
% 235.14/47.54 v5) | v10 = v9)))))
% 235.14/47.54
% 235.14/47.54 (fact_frac__less)
% 235.14/47.54 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.14/47.54 $i] : ! [v6: $i] : ! [v7: int] : (v7 = 0 | ~
% 235.14/47.54 (c_Rings_Oinverse__class_Odivide(v4, v3, v0) = v5) | ~
% 235.14/47.54 (c_Rings_Oinverse__class_Odivide(v4, v2, v1) = v6) | ~
% 235.14/47.54 (c_Orderings_Oord__class_Oless(v4, v5, v6) = v7) | ~ $i(v4) | ~ $i(v3) |
% 235.14/47.54 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v8: any] : ? [v9: $i] : ? [v10:
% 235.14/47.54 any] : ? [v11: any] : ? [v12: any] : ? [v13: any] :
% 235.14/47.54 (class_Fields_Olinordered__field(v4) = v8 &
% 235.14/47.54 c_Orderings_Oord__class_Oless__eq(v4, v9, v3) = v10 &
% 235.14/47.54 c_Orderings_Oord__class_Oless__eq(v4, v1, v0) = v13 &
% 235.14/47.54 c_Groups_Ozero__class_Ozero(v4) = v9 & c_Orderings_Oord__class_Oless(v4,
% 235.14/47.54 v9, v1) = v12 & c_Orderings_Oord__class_Oless(v4, v3, v2) = v11 & $i(v9)
% 235.14/47.54 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v8 =
% 235.14/47.54 0))))
% 235.14/47.54
% 235.14/47.54 (fact_frac__less2)
% 235.14/47.55 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.14/47.55 $i] : ! [v6: $i] : ! [v7: int] : (v7 = 0 | ~
% 235.14/47.55 (c_Rings_Oinverse__class_Odivide(v4, v3, v0) = v5) | ~
% 235.14/47.55 (c_Rings_Oinverse__class_Odivide(v4, v2, v1) = v6) | ~
% 235.14/47.55 (c_Orderings_Oord__class_Oless(v4, v5, v6) = v7) | ~ $i(v4) | ~ $i(v3) |
% 235.14/47.55 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v8: any] : ? [v9: $i] : ? [v10:
% 235.14/47.55 any] : ? [v11: any] : ? [v12: any] : ? [v13: any] :
% 235.14/47.55 (class_Fields_Olinordered__field(v4) = v8 &
% 235.14/47.55 c_Orderings_Oord__class_Oless__eq(v4, v3, v2) = v11 &
% 235.14/47.55 c_Groups_Ozero__class_Ozero(v4) = v9 & c_Orderings_Oord__class_Oless(v4,
% 235.14/47.55 v9, v3) = v10 & c_Orderings_Oord__class_Oless(v4, v9, v1) = v12 &
% 235.14/47.55 c_Orderings_Oord__class_Oless(v4, v1, v0) = v13 & $i(v9) & ( ~ (v13 = 0) |
% 235.14/47.55 ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v8 = 0))))
% 235.14/47.55
% 235.14/47.55 (fact_fz_I2_J)
% 235.14/47.55 $i(v_f____) & $i(tc_Nat_Onat) & $i(v_z____) & $i(tc_Complex_Ocomplex) &
% 235.14/47.55 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.14/47.55 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : (
% 235.14/47.55 ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) = 0) | ~
% 235.14/47.55 $i(v1) | ? [v2: $i] : ($i(v2) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 235.14/47.55 ! [v6: $i] : ! [v7: $i] : ! [v8: int] : (v8 = 0 | ~ (hAPP(v_f____,
% 235.14/47.55 v3) = v4) | ~ (v_g____(v4) = v5) | ~
% 235.14/47.55 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = v7) | ~
% 235.14/47.55 (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v5, v_z____) = v6)
% 235.14/47.55 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v1) = v8) |
% 235.14/47.55 ~ $i(v3) | ? [v9: int] : ( ~ (v9 = 0) &
% 235.14/47.55 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v3) = v9)))))
% 235.14/47.55
% 235.14/47.55 (fact_g_I2_J)
% 235.14/47.55 $i(tc_Nat_Onat) & $i(v_s____) & $i(v_p) & $i(tc_Complex_Ocomplex) &
% 235.14/47.55 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 235.14/47.55 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 235.14/47.55 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v0 & $i(v1) &
% 235.14/47.55 $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i]
% 235.14/47.55 : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: int] : (v10 = 0 | ~
% 235.14/47.55 (v_g____(v2) = v3) | ~ (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v3)
% 235.14/47.55 = v4) | ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) =
% 235.14/47.55 v5) | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v7) =
% 235.14/47.55 v8) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v8) = v9) |
% 235.14/47.55 ~ (c_Nat_OSuc(v2) = v6) | ~ (c_RealDef_Oreal(tc_Nat_Onat, v6) = v7) | ~
% 235.14/47.55 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v9) = v10) | ~
% 235.14/47.55 $i(v2)))
% 235.14/47.55
% 235.14/47.55 (fact_gr0I)
% 235.14/47.55 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.14/47.55 & $i(v0) & ! [v1: $i] : ! [v2: int] : (v2 = 0 | v1 = v0 | ~
% 235.14/47.55 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) = v2) | ~ $i(v1)))
% 235.14/47.55
% 235.14/47.55 (fact_gr0__conv__Suc)
% 235.14/47.56 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.14/47.56 & $i(v0) & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 235.14/47.56 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) = v2) | ~ $i(v1) | !
% 235.14/47.56 [v3: $i] : ( ~ (c_Nat_OSuc(v3) = v1) | ~ $i(v3))) & ! [v1: $i] : ( ~
% 235.14/47.56 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) = 0) | ~ $i(v1) | ?
% 235.14/47.56 [v2: $i] : (c_Nat_OSuc(v2) = v1 & $i(v2))))
% 235.14/47.56
% 235.14/47.56 (fact_gr__implies__not0)
% 235.14/47.56 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.14/47.56 & $i(v0) & ! [v1: $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1,
% 235.14/47.56 v0) = 0) | ~ $i(v1)))
% 235.14/47.56
% 235.14/47.56 (fact_half)
% 235.14/47.56 $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 235.14/47.56 c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4:
% 235.14/47.56 $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: int] : (v7 = 0 | ~
% 235.14/47.56 (c_Groups_Oone__class_Oone(v2) = v4) | ~ (c_Groups_Ozero__class_Ozero(v2)
% 235.14/47.56 = v3) | ~ (c_Int_Onumber__class_Onumber__of(v2, v1) = v5) | ~
% 235.14/47.56 (c_Rings_Oinverse__class_Odivide(v2, v4, v5) = v6) | ~
% 235.14/47.56 (c_Orderings_Oord__class_Oless(v2, v3, v6) = v7) | ~ $i(v2) | ? [v8:
% 235.14/47.56 any] : ? [v9: any] :
% 235.14/47.56 (class_Fields_Olinordered__field__inverse__zero(v2) = v8 &
% 235.14/47.56 class_Int_Onumber__ring(v2) = v9 & ( ~ (v9 = 0) | ~ (v8 = 0)))))
% 235.14/47.56
% 235.14/47.56 (fact_half__gt__zero)
% 235.14/47.56 $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 235.14/47.56 c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4:
% 235.14/47.56 $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: int] : (v7 = 0 | ~
% 235.14/47.56 (c_Groups_Ozero__class_Ozero(v3) = v4) | ~
% 235.14/47.56 (c_Int_Onumber__class_Onumber__of(v3, v1) = v5) | ~
% 235.14/47.56 (c_Rings_Oinverse__class_Odivide(v3, v2, v5) = v6) | ~
% 235.14/47.56 (c_Orderings_Oord__class_Oless(v3, v4, v6) = v7) | ~ $i(v3) | ~ $i(v2) |
% 235.14/47.56 ? [v8: any] : ? [v9: any] : ? [v10: any] :
% 235.14/47.56 (class_Fields_Olinordered__field__inverse__zero(v3) = v8 &
% 235.14/47.56 class_Int_Onumber__ring(v3) = v9 & c_Orderings_Oord__class_Oless(v3, v4,
% 235.14/47.56 v2) = v10 & ( ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0)))))
% 235.14/47.56
% 235.14/47.56 (fact_half__gt__zero__iff)
% 235.14/47.56 $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 235.14/47.56 c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4:
% 235.14/47.56 $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: any] : ( ~
% 235.14/47.56 (c_Groups_Ozero__class_Ozero(v3) = v4) | ~
% 235.14/47.56 (c_Int_Onumber__class_Onumber__of(v3, v1) = v5) | ~
% 235.14/47.56 (c_Rings_Oinverse__class_Odivide(v3, v2, v5) = v6) | ~
% 235.14/47.56 (c_Orderings_Oord__class_Oless(v3, v4, v6) = v7) | ~ $i(v3) | ~ $i(v2) |
% 235.14/47.56 ? [v8: any] : ? [v9: any] : ? [v10: any] :
% 235.14/47.56 (class_Fields_Olinordered__field__inverse__zero(v3) = v8 &
% 235.14/47.56 class_Int_Onumber__ring(v3) = v9 & c_Orderings_Oord__class_Oless(v3, v4,
% 235.14/47.56 v2) = v10 & ( ~ (v9 = 0) | ~ (v8 = 0) | (( ~ (v10 = 0) | v7 = 0) & (
% 235.14/47.56 ~ (v7 = 0) | v10 = 0))))))
% 235.14/47.56
% 235.14/47.56 (fact_incr__lemma)
% 235.14/47.57 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 235.14/47.57 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 &
% 235.14/47.57 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0) & ! [v2:
% 235.14/47.57 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 235.14/47.57 : ! [v8: $i] : ! [v9: $i] : ! [v10: int] : (v10 = 0 | ~
% 235.14/47.57 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v7, v4) = v8) | ~
% 235.14/47.57 (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v2, v3) = v5) | ~
% 235.14/47.57 (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v5) = v6) | ~
% 235.14/47.57 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v6, v1) = v7) | ~
% 235.14/47.57 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v8) = v9) | ~
% 235.14/47.57 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v9) = v10) | ~ $i(v4) |
% 235.14/47.57 ~ $i(v3) | ~ $i(v2) | ? [v11: int] : ( ~ (v11 = 0) &
% 235.14/47.57 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v4) = v11)))
% 235.14/47.57
% 235.14/47.57 (fact_int__0__less__1)
% 235.14/47.57 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 235.14/47.57 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 &
% 235.14/47.57 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 &
% 235.14/47.57 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) = 0 & $i(v1) & $i(v0))
% 235.14/47.57
% 235.14/47.57 (fact_int__0__neq__1)
% 235.14/47.57 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 235.14/47.57 c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 &
% 235.14/47.57 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0))
% 235.14/47.57
% 235.14/47.57 (fact_int__one__le__iff__zero__less)
% 235.14/47.57 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 235.14/47.57 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 &
% 235.14/47.57 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v1 & $i(v1) & $i(v0) & ! [v2:
% 235.14/47.57 $i] : ! [v3: int] : (v3 = 0 | ~
% 235.14/47.57 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) = v3) | ~ $i(v2)
% 235.14/47.57 | ? [v4: int] : ( ~ (v4 = 0) & c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 235.14/47.57 v1, v2) = v4)) & ! [v2: $i] : ( ~
% 235.14/47.57 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) = 0) | ~ $i(v2) |
% 235.14/47.57 c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) = 0))
% 235.14/47.57
% 235.14/47.57 (fact_int__pos__lt__two__imp__zero__or__one)
% 235.14/47.57 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 235.14/47.57 ? [v3: $i] : ? [v4: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v4 &
% 235.14/47.57 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & c_Int_OBit1(c_Int_OPls) = v1
% 235.14/47.57 & c_Int_OBit0(v1) = v2 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) =
% 235.14/47.57 v3 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : (v5 = v4 |
% 235.14/47.57 v5 = v0 | ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint, v5, v3) = 0) | ~
% 235.14/47.57 $i(v5) | ? [v6: int] : ( ~ (v6 = 0) &
% 235.14/47.57 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v5) = v6)))
% 235.14/47.57
% 235.14/47.57 (fact_inverse__divide)
% 235.14/47.57 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 235.14/47.57 (c_Rings_Oinverse__class_Oinverse(v2, v3) = v4) | ~
% 235.14/47.57 (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 235.14/47.57 ~ $i(v0) | ? [v5: any] : ? [v6: $i] :
% 235.14/47.57 (class_Fields_Ofield__inverse__zero(v2) = v5 &
% 235.14/47.57 c_Rings_Oinverse__class_Odivide(v2, v0, v1) = v6 & $i(v6) & ( ~ (v5 = 0) |
% 235.14/47.57 v6 = v4)))
% 235.14/47.57
% 235.14/47.57 (fact_inverse__eq__1__iff)
% 235.14/47.57 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 235.14/47.57 (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 235.14/47.57 [v3: any] : ? [v4: $i] : (class_Fields_Ofield__inverse__zero(v1) = v3 &
% 235.14/47.57 c_Groups_Oone__class_Oone(v1) = v4 & $i(v4) & ( ~ (v3 = 0) | (( ~ (v4 =
% 235.14/47.57 v2) | v2 = v0) & ( ~ (v4 = v0) | v2 = v0)))))
% 235.14/47.57
% 235.14/47.57 (fact_inverse__eq__divide)
% 235.14/47.57 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.14/47.57 (c_Groups_Oone__class_Oone(v1) = v2) | ~
% 235.14/47.57 (c_Rings_Oinverse__class_Odivide(v1, v2, v0) = v3) | ~ $i(v1) | ~ $i(v0) |
% 235.14/47.57 ? [v4: any] : ? [v5: $i] : (class_Rings_Odivision__ring(v1) = v4 &
% 235.14/47.57 c_Rings_Oinverse__class_Oinverse(v1, v0) = v5 & $i(v5) & ( ~ (v4 = 0) | v5
% 235.14/47.57 = v3)))
% 235.14/47.57
% 235.14/47.57 (fact_inverse__le__1__iff)
% 235.14/47.57 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: any] : ( ~
% 235.14/47.57 (c_Orderings_Oord__class_Oless__eq(v1, v2, v3) = v4) | ~
% 235.14/47.57 (c_Groups_Oone__class_Oone(v1) = v3) | ~
% 235.14/47.57 (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 235.14/47.57 [v5: any] : ? [v6: $i] : ? [v7: any] : ? [v8: any] :
% 235.14/47.57 (c_Orderings_Oord__class_Oless__eq(v1, v3, v0) = v8 &
% 235.14/47.57 c_Orderings_Oord__class_Oless__eq(v1, v0, v6) = v7 &
% 235.14/47.57 class_Fields_Olinordered__field__inverse__zero(v1) = v5 &
% 235.14/47.57 c_Groups_Ozero__class_Ozero(v1) = v6 & $i(v6) & ( ~ (v5 = 0) | (( ~ (v4 =
% 235.14/47.57 0) | v8 = 0 | v7 = 0) & (v4 = 0 | ( ~ (v8 = 0) & ~ (v7 = 0)))))))
% 235.14/47.57
% 235.14/47.57 (fact_inverse__nonzero__iff__nonzero)
% 235.14/47.57 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 235.14/47.57 (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 235.14/47.57 [v3: any] : ? [v4: $i] : (class_Rings_Odivision__ring__inverse__zero(v1) =
% 235.14/47.57 v3 & c_Groups_Ozero__class_Ozero(v1) = v4 & $i(v4) & ( ~ (v3 = 0) | (( ~
% 235.14/47.57 (v4 = v2) | v2 = v0) & ( ~ (v4 = v0) | v2 = v0)))))
% 235.14/47.57
% 235.14/47.57 (fact_inverse__numeral__1)
% 235.14/47.58 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & !
% 235.14/47.58 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v2 | ~
% 235.14/47.58 (c_Rings_Oinverse__class_Oinverse(v1, v2) = v3) | ~
% 235.14/47.58 (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ $i(v1) | ? [v4: any]
% 235.14/47.58 : ? [v5: any] : (class_Fields_Ofield(v1) = v4 &
% 235.14/47.58 class_Int_Onumber__ring(v1) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0)))))
% 235.14/47.58
% 235.14/47.58 (fact_inverse__zero__imp__zero)
% 235.14/47.58 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 235.14/47.58 (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 235.14/47.58 [v3: any] : ? [v4: $i] : (class_Rings_Odivision__ring(v1) = v3 &
% 235.14/47.58 c_Groups_Ozero__class_Ozero(v1) = v4 & $i(v4) & ( ~ (v4 = v2) | ~ (v3 =
% 235.14/47.58 0) | v2 = v0)))
% 235.14/47.58
% 235.14/47.58 (fact_le0)
% 235.14/47.58 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.14/47.58 & $i(v0) & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 235.14/47.58 (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v1) = v2) | ~
% 235.14/47.58 $i(v1)))
% 235.14/47.58
% 235.14/47.58 (fact_le__0__eq)
% 235.14/47.58 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.14/47.58 & $i(v0) & ! [v1: $i] : (v1 = v0 | ~
% 235.14/47.58 (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) = 0) | ~ $i(v1))
% 235.14/47.58 & ! [v1: int] : (v1 = 0 | ~
% 235.14/47.58 (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v0) = v1)))
% 235.14/47.58
% 235.14/47.58 (fact_le__divide__eq)
% 235.14/47.58 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.14/47.58 any] : ( ~ (c_Orderings_Oord__class_Oless__eq(v3, v2, v4) = v5) | ~
% 235.14/47.58 (c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v4) | ~ $i(v3) | ~ $i(v2) |
% 235.14/47.58 ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: $i] : ? [v8: any] : ? [v9:
% 235.14/47.58 $i] : ? [v10: any] : ? [v11: any] : ? [v12: any] : ? [v13: any] :
% 235.14/47.58 (c_Groups_Otimes__class_Otimes(v3, v2, v0) = v9 &
% 235.14/47.58 c_Orderings_Oord__class_Oless__eq(v3, v9, v1) = v10 &
% 235.14/47.58 c_Orderings_Oord__class_Oless__eq(v3, v2, v7) = v13 &
% 235.14/47.58 c_Orderings_Oord__class_Oless__eq(v3, v1, v9) = v12 &
% 235.14/47.58 class_Fields_Olinordered__field__inverse__zero(v3) = v6 &
% 235.14/47.58 c_Groups_Ozero__class_Ozero(v3) = v7 & c_Orderings_Oord__class_Oless(v3,
% 235.14/47.58 v7, v0) = v8 & c_Orderings_Oord__class_Oless(v3, v0, v7) = v11 & $i(v9)
% 235.14/47.58 & $i(v7) & ( ~ (v6 = 0) | (( ~ (v5 = 0) | (( ~ (v8 = 0) | v10 = 0) & (v8 =
% 235.14/47.58 0 | (( ~ (v11 = 0) | v12 = 0) & (v13 = 0 | v11 = 0))))) & (v5 =
% 235.14/47.58 0 | (v8 = 0 & ~ (v10 = 0)) | ( ~ (v8 = 0) & ((v11 = 0 & ~ (v12 =
% 235.14/47.58 0)) | ( ~ (v13 = 0) & ~ (v11 = 0)))))))))
% 235.14/47.58
% 235.14/47.58 (fact_le__imp__0__less)
% 235.14/47.58 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 235.14/47.58 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 &
% 235.14/47.58 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0) & ! [v2:
% 235.14/47.58 $i] : ! [v3: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v2)
% 235.14/47.58 = v3) | ~ $i(v2) | ? [v4: any] : ? [v5: any] :
% 235.14/47.58 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) = v4 &
% 235.14/47.58 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) = v5 & ( ~ (v4 = 0) |
% 235.14/47.58 v5 = 0))))
% 235.14/47.58
% 235.14/47.58 (fact_le__special_I1_J)
% 235.14/47.58 $i(tc_Int_Oint) & $i(c_Int_OPls) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] :
% 235.14/47.58 ( ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) = v2) | ~
% 235.14/47.58 (class_Rings_Olinordered__idom(v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3:
% 235.14/47.58 any] : ? [v4: $i] : ? [v5: $i] : ? [v6: any] :
% 235.14/47.58 (c_Orderings_Oord__class_Oless__eq(v1, v4, v5) = v6 &
% 235.14/47.58 class_Int_Onumber__ring(v1) = v3 & c_Groups_Ozero__class_Ozero(v1) = v4 &
% 235.14/47.58 c_Int_Onumber__class_Onumber__of(v1, v0) = v5 & $i(v5) & $i(v4) & ( ~ (v3
% 235.14/47.58 = 0) | (( ~ (v6 = 0) | v2 = 0) & ( ~ (v2 = 0) | v6 = 0)))))
% 235.14/47.58
% 235.14/47.58 (fact_le__special_I2_J)
% 235.14/47.58 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0
% 235.14/47.58 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~
% 235.14/47.58 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) = v3) | ~
% 235.14/47.58 (class_Rings_Olinordered__idom(v2) = 0) | ~ $i(v2) | ~ $i(v1) | ? [v4:
% 235.14/47.58 any] : ? [v5: $i] : ? [v6: $i] : ? [v7: any] :
% 235.14/47.58 (c_Orderings_Oord__class_Oless__eq(v2, v5, v6) = v7 &
% 235.14/47.58 class_Int_Onumber__ring(v2) = v4 & c_Groups_Oone__class_Oone(v2) = v5 &
% 235.14/47.58 c_Int_Onumber__class_Onumber__of(v2, v1) = v6 & $i(v6) & $i(v5) & ( ~
% 235.14/47.58 (v4 = 0) | (( ~ (v7 = 0) | v3 = 0) & ( ~ (v3 = 0) | v7 = 0))))))
% 235.14/47.58
% 235.14/47.58 (fact_le__special_I3_J)
% 235.14/47.58 $i(tc_Int_Oint) & $i(c_Int_OPls) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] :
% 235.14/47.58 ( ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OPls) = v2) | ~
% 235.14/47.58 (class_Rings_Olinordered__idom(v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3:
% 235.14/47.58 any] : ? [v4: $i] : ? [v5: $i] : ? [v6: any] :
% 235.14/47.58 (c_Orderings_Oord__class_Oless__eq(v1, v4, v5) = v6 &
% 235.14/47.58 class_Int_Onumber__ring(v1) = v3 & c_Groups_Ozero__class_Ozero(v1) = v5 &
% 235.14/47.58 c_Int_Onumber__class_Onumber__of(v1, v0) = v4 & $i(v5) & $i(v4) & ( ~ (v3
% 235.14/47.58 = 0) | (( ~ (v6 = 0) | v2 = 0) & ( ~ (v2 = 0) | v6 = 0)))))
% 235.14/47.58
% 235.14/47.58 (fact_le__special_I4_J)
% 235.14/47.58 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0
% 235.14/47.59 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~
% 235.14/47.59 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) = v3) | ~
% 235.14/47.59 (class_Rings_Olinordered__idom(v2) = 0) | ~ $i(v2) | ~ $i(v1) | ? [v4:
% 235.14/47.59 any] : ? [v5: $i] : ? [v6: $i] : ? [v7: any] :
% 235.14/47.59 (c_Orderings_Oord__class_Oless__eq(v2, v5, v6) = v7 &
% 235.14/47.59 class_Int_Onumber__ring(v2) = v4 & c_Groups_Oone__class_Oone(v2) = v6 &
% 235.14/47.59 c_Int_Onumber__class_Onumber__of(v2, v1) = v5 & $i(v6) & $i(v5) & ( ~
% 235.14/47.59 (v4 = 0) | (( ~ (v7 = 0) | v3 = 0) & ( ~ (v3 = 0) | v7 = 0))))))
% 235.14/47.59
% 235.14/47.59 (fact_lemma__NBseq__def)
% 235.14/47.59 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.14/47.59 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ? [v1: $i] :
% 235.14/47.59 ! [v2: $i] : ( ~ (class_RealVector_Oreal__normed__vector(v2) = 0) | ~
% 235.14/47.59 $i(v2) | ~ $i(v1) | (( ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 235.14/47.59 (c_Nat_OSuc(v3) = v4 & c_RealDef_Oreal(tc_Nat_Onat, v4) = v5 & $i(v5)
% 235.14/47.59 & $i(v4) & $i(v3) & ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : !
% 235.14/47.59 [v9: int] : (v9 = 0 | ~
% 235.14/47.59 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v8, v5) = v9)
% 235.14/47.59 | ~ (hAPP(v1, v6) = v7) | ~ (c_RealVector_Onorm__class_Onorm(v2,
% 235.14/47.59 v7) = v8) | ~ $i(v6))) | ! [v3: $i] : ( ~
% 235.14/47.59 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = 0) | ~
% 235.14/47.59 $i(v3) | ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: int] : (
% 235.14/47.59 ~ (v7 = 0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 235.14/47.59 v6, v3) = v7 & hAPP(v1, v4) = v5 &
% 235.14/47.59 c_RealVector_Onorm__class_Onorm(v2, v5) = v6 & $i(v6) & $i(v5) &
% 235.14/47.59 $i(v4)))) & ( ? [v3: $i] :
% 235.14/47.59 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = 0 & $i(v3)
% 235.14/47.59 & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: int] : (v7 = 0 |
% 235.14/47.59 ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v3) =
% 235.14/47.59 v7) | ~ (hAPP(v1, v4) = v5) | ~
% 235.14/47.59 (c_RealVector_Onorm__class_Onorm(v2, v5) = v6) | ~ $i(v4))) | !
% 235.14/47.59 [v3: $i] : ! [v4: $i] : ( ~ (c_Nat_OSuc(v3) = v4) | ~ $i(v3) | ?
% 235.14/47.59 [v5: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v4) = v5 & $i(v5) & ? [v6:
% 235.14/47.59 $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : ( ~ (v9 = 0) &
% 235.14/47.59 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v8, v5) = v9
% 235.14/47.59 & hAPP(v1, v6) = v7 & c_RealVector_Onorm__class_Onorm(v2, v7) =
% 235.14/47.59 v8 & $i(v8) & $i(v7) & $i(v6))))))))
% 235.14/47.59
% 235.14/47.59 (fact_lemma__NBseq__def2)
% 235.14/47.59 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.14/47.59 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ? [v1: $i] :
% 235.14/47.59 ! [v2: $i] : ( ~ (class_RealVector_Oreal__normed__vector(v2) = 0) | ~
% 235.14/47.59 $i(v2) | ~ $i(v1) | (( ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 235.14/47.59 (c_Nat_OSuc(v3) = v4 & c_RealDef_Oreal(tc_Nat_Onat, v4) = v5 & $i(v5)
% 235.14/47.59 & $i(v4) & $i(v3) & ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : !
% 235.14/47.59 [v9: int] : (v9 = 0 | ~ (hAPP(v1, v6) = v7) | ~
% 235.14/47.59 (c_RealVector_Onorm__class_Onorm(v2, v7) = v8) | ~
% 235.14/47.59 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v5) = v9) |
% 235.14/47.59 ~ $i(v6))) | ! [v3: $i] : ( ~
% 235.14/47.59 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = 0) | ~
% 235.14/47.59 $i(v3) | ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: int] : (
% 235.14/47.59 ~ (v7 = 0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 235.14/47.59 v6, v3) = v7 & hAPP(v1, v4) = v5 &
% 235.14/47.59 c_RealVector_Onorm__class_Onorm(v2, v5) = v6 & $i(v6) & $i(v5) &
% 235.14/47.59 $i(v4)))) & ( ? [v3: $i] :
% 235.14/47.59 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = 0 & $i(v3)
% 235.14/47.59 & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: int] : (v7 = 0 |
% 235.14/47.59 ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v3) =
% 235.14/47.59 v7) | ~ (hAPP(v1, v4) = v5) | ~
% 235.14/47.59 (c_RealVector_Onorm__class_Onorm(v2, v5) = v6) | ~ $i(v4))) | !
% 235.14/47.59 [v3: $i] : ! [v4: $i] : ( ~ (c_Nat_OSuc(v3) = v4) | ~ $i(v3) | ?
% 235.14/47.59 [v5: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v4) = v5 & $i(v5) & ? [v6:
% 235.14/47.59 $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : ( ~ (v9 = 0) &
% 235.14/47.59 hAPP(v1, v6) = v7 & c_RealVector_Onorm__class_Onorm(v2, v7) = v8
% 235.14/47.59 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v5) = v9 &
% 235.14/47.59 $i(v8) & $i(v7) & $i(v6))))))))
% 235.14/47.59
% 235.14/47.59 (fact_less__0__number__of)
% 235.14/47.59 $i(tc_Int_Oint) & $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] :
% 235.14/47.59 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) & ! [v1: $i] : !
% 235.14/47.59 [v2: int] : (v2 = 0 | ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 235.14/47.59 c_Int_OPls, v1) = v2) | ~ $i(v1) | ? [v3: $i] : ? [v4: int] : ( ~
% 235.14/47.59 (v4 = 0) & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v3 &
% 235.14/47.59 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) = v4 & $i(v3))) & !
% 235.14/47.59 [v1: $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v1) =
% 235.14/47.59 0) | ~ $i(v1) | ? [v2: $i] :
% 235.14/47.59 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 235.14/47.59 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) = 0 & $i(v2))))
% 235.14/47.59
% 235.14/47.59 (fact_less__2__cases)
% 235.14/47.59 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 235.14/47.59 ? [v3: $i] : ? [v4: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v3 &
% 235.14/47.59 c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 235.14/47.59 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & c_Nat_OSuc(v3) = v4
% 235.14/47.59 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : (v5 = v4 | v5 =
% 235.14/47.59 v3 | ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v2) = 0) | ~
% 235.14/47.59 $i(v5)))
% 235.14/47.59
% 235.14/47.59 (fact_less__Suc0)
% 235.14/47.59 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 235.14/47.59 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & c_Nat_OSuc(v0) = v1 & $i(v1)
% 235.14/47.59 & $i(v0) & ! [v2: $i] : (v2 = v0 | ~
% 235.14/47.59 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) = 0) | ~ $i(v2)) & !
% 235.14/47.59 [v2: int] : (v2 = 0 | ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1)
% 235.14/47.59 = v2)))
% 235.14/47.59
% 235.14/47.59 (fact_less__Suc__eq__0__disj)
% 235.14/47.60 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.14/47.60 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0
% 235.14/47.60 | ~ (c_Nat_OSuc(v1) = v3) | ~
% 235.14/47.60 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3) = v4) | ~ $i(v2) | ~
% 235.14/47.60 $i(v1) | ( ~ (v2 = v0) & ! [v5: $i] : ( ~
% 235.14/47.60 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v1) = 0) | ~ $i(v5) |
% 235.14/47.60 ? [v6: $i] : ( ~ (v6 = v2) & c_Nat_OSuc(v5) = v6 & $i(v6))))) & !
% 235.14/47.60 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v2 = v0 | ~ (c_Nat_OSuc(v1) = v3) |
% 235.14/47.60 ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3) = 0) | ~ $i(v2) |
% 235.14/47.60 ~ $i(v1) | ? [v4: $i] : (c_Nat_OSuc(v4) = v2 &
% 235.14/47.60 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v1) = 0 & $i(v4))))
% 235.14/47.60
% 235.14/47.60 (fact_less__bin__lemma)
% 235.14/47.60 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 235.14/47.60 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.14/47.60 (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v2, v1) = v3) | ~ $i(v2) | ~
% 235.14/47.60 $i(v1) | ? [v4: any] : ? [v5: any] :
% 235.14/47.60 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0) = v5 &
% 235.14/47.60 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v4 & ( ~ (v4 = 0) |
% 235.14/47.60 v5 = 0))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.14/47.60 (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v2, v1) = v3) | ~ $i(v2) | ~
% 235.14/47.60 $i(v1) | ? [v4: any] : ? [v5: any] :
% 235.14/47.60 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0) = v4 &
% 235.14/47.60 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v5 & ( ~ (v4 = 0) |
% 235.14/47.60 v5 = 0))))
% 235.14/47.60
% 235.14/47.60 (fact_less__divide__eq)
% 235.14/47.60 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.14/47.60 any] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v4) | ~
% 235.14/47.60 (c_Orderings_Oord__class_Oless(v3, v2, v4) = v5) | ~ $i(v3) | ~ $i(v2) |
% 235.14/47.60 ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: $i] : ? [v8: any] : ? [v9:
% 235.14/47.60 $i] : ? [v10: any] : ? [v11: any] : ? [v12: any] : ? [v13: any] :
% 235.14/47.60 (c_Groups_Otimes__class_Otimes(v3, v2, v0) = v9 &
% 235.14/47.60 class_Fields_Olinordered__field__inverse__zero(v3) = v6 &
% 235.14/47.60 c_Groups_Ozero__class_Ozero(v3) = v7 & c_Orderings_Oord__class_Oless(v3,
% 235.14/47.60 v9, v1) = v10 & c_Orderings_Oord__class_Oless(v3, v7, v0) = v8 &
% 235.14/47.60 c_Orderings_Oord__class_Oless(v3, v2, v7) = v13 &
% 235.14/47.60 c_Orderings_Oord__class_Oless(v3, v1, v9) = v12 &
% 235.14/47.60 c_Orderings_Oord__class_Oless(v3, v0, v7) = v11 & $i(v9) & $i(v7) & ( ~
% 235.14/47.60 (v6 = 0) | (( ~ (v5 = 0) | (( ~ (v8 = 0) | v10 = 0) & (v8 = 0 | (( ~
% 235.14/47.60 (v11 = 0) | v12 = 0) & (v13 = 0 | v11 = 0))))) & (v5 = 0 |
% 235.14/47.60 (v8 = 0 & ~ (v10 = 0)) | ( ~ (v8 = 0) & ((v11 = 0 & ~ (v12 = 0)) |
% 235.14/47.60 ( ~ (v13 = 0) & ~ (v11 = 0)))))))))
% 235.14/47.60
% 235.14/47.60 (fact_less__divide__eq__number__of1)
% 235.14/47.60 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.14/47.60 $i] : ! [v6: any] : ( ~ (c_Int_Onumber__class_Onumber__of(v3, v0) = v4) |
% 235.14/47.60 ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v4) = v5) | ~
% 235.14/47.60 (c_Orderings_Oord__class_Oless(v3, v2, v5) = v6) | ~ $i(v3) | ~ $i(v2) |
% 235.14/47.60 ~ $i(v1) | ~ $i(v0) | ? [v7: any] : ? [v8: any] : ? [v9: $i] : ? [v10:
% 235.14/47.60 any] : ? [v11: $i] : ? [v12: any] : ? [v13: any] : ? [v14: any] : ?
% 235.14/47.60 [v15: any] : (c_Groups_Otimes__class_Otimes(v3, v2, v4) = v11 &
% 235.14/47.60 class_Fields_Olinordered__field__inverse__zero(v3) = v7 &
% 235.14/47.60 class_Int_Onumber(v3) = v8 & c_Groups_Ozero__class_Ozero(v3) = v9 &
% 235.14/47.60 c_Orderings_Oord__class_Oless(v3, v11, v1) = v12 &
% 235.14/47.60 c_Orderings_Oord__class_Oless(v3, v9, v4) = v10 &
% 235.14/47.60 c_Orderings_Oord__class_Oless(v3, v4, v9) = v13 &
% 235.14/47.60 c_Orderings_Oord__class_Oless(v3, v2, v9) = v15 &
% 235.14/47.60 c_Orderings_Oord__class_Oless(v3, v1, v11) = v14 & $i(v11) & $i(v9) & ( ~
% 235.14/47.60 (v8 = 0) | ~ (v7 = 0) | (( ~ (v6 = 0) | (( ~ (v10 = 0) | v12 = 0) &
% 235.14/47.60 (v10 = 0 | (( ~ (v13 = 0) | v14 = 0) & (v15 = 0 | v13 = 0))))) &
% 235.14/47.60 (v6 = 0 | (v10 = 0 & ~ (v12 = 0)) | ( ~ (v10 = 0) & ((v13 = 0 & ~
% 235.14/47.60 (v14 = 0)) | ( ~ (v15 = 0) & ~ (v13 = 0)))))))))
% 235.14/47.60
% 235.14/47.60 (fact_less__eq__nat_Osimps_I1_J)
% 235.14/47.60 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.14/47.60 & $i(v0) & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 235.14/47.60 (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v1) = v2) | ~
% 235.14/47.60 $i(v1)))
% 235.14/47.60
% 235.14/47.60 (fact_less__nat__zero__code)
% 235.14/47.60 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.14/47.60 & $i(v0) & ! [v1: $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1,
% 235.14/47.60 v0) = 0) | ~ $i(v1)))
% 235.14/47.60
% 235.14/47.60 (fact_less__special_I1_J)
% 235.14/47.60 $i(tc_Int_Oint) & $i(c_Int_OPls) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] :
% 235.14/47.60 ( ~ (class_Rings_Olinordered__idom(v1) = 0) | ~
% 235.14/47.60 (c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) = v2) | ~
% 235.14/47.60 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: any]
% 235.14/47.60 : (class_Int_Onumber__ring(v1) = v3 & c_Groups_Ozero__class_Ozero(v1) = v4 &
% 235.14/47.60 c_Int_Onumber__class_Onumber__of(v1, v0) = v5 &
% 235.14/47.60 c_Orderings_Oord__class_Oless(v1, v4, v5) = v6 & $i(v5) & $i(v4) & ( ~ (v3
% 235.14/47.60 = 0) | (( ~ (v6 = 0) | v2 = 0) & ( ~ (v2 = 0) | v6 = 0)))))
% 235.14/47.60
% 235.14/47.60 (fact_less__special_I2_J)
% 235.14/47.60 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0
% 235.14/47.60 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~
% 235.14/47.60 (class_Rings_Olinordered__idom(v2) = 0) | ~
% 235.14/47.60 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) = v3) | ~ $i(v2) | ~
% 235.14/47.60 $i(v1) | ? [v4: any] : ? [v5: $i] : ? [v6: $i] : ? [v7: any] :
% 235.14/47.60 (class_Int_Onumber__ring(v2) = v4 & c_Groups_Oone__class_Oone(v2) = v5 &
% 235.14/47.60 c_Int_Onumber__class_Onumber__of(v2, v1) = v6 &
% 235.14/47.60 c_Orderings_Oord__class_Oless(v2, v5, v6) = v7 & $i(v6) & $i(v5) & ( ~
% 235.14/47.60 (v4 = 0) | (( ~ (v7 = 0) | v3 = 0) & ( ~ (v3 = 0) | v7 = 0))))))
% 235.14/47.60
% 235.14/47.60 (fact_less__special_I3_J)
% 235.14/47.61 $i(tc_Int_Oint) & $i(c_Int_OPls) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] :
% 235.14/47.61 ( ~ (class_Rings_Olinordered__idom(v1) = 0) | ~
% 235.14/47.61 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls) = v2) | ~
% 235.14/47.61 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: any]
% 235.14/47.61 : (class_Int_Onumber__ring(v1) = v3 & c_Groups_Ozero__class_Ozero(v1) = v5 &
% 235.14/47.61 c_Int_Onumber__class_Onumber__of(v1, v0) = v4 &
% 235.14/47.61 c_Orderings_Oord__class_Oless(v1, v4, v5) = v6 & $i(v5) & $i(v4) & ( ~ (v3
% 235.14/47.61 = 0) | (( ~ (v6 = 0) | v2 = 0) & ( ~ (v2 = 0) | v6 = 0)))))
% 235.14/47.61
% 235.14/47.61 (fact_less__special_I4_J)
% 235.14/47.61 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0
% 235.14/47.61 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~
% 235.14/47.61 (class_Rings_Olinordered__idom(v2) = 0) | ~
% 235.14/47.61 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = v3) | ~ $i(v2) | ~
% 235.14/47.61 $i(v1) | ? [v4: any] : ? [v5: $i] : ? [v6: $i] : ? [v7: any] :
% 235.14/47.61 (class_Int_Onumber__ring(v2) = v4 & c_Groups_Oone__class_Oone(v2) = v6 &
% 235.14/47.61 c_Int_Onumber__class_Onumber__of(v2, v1) = v5 &
% 235.14/47.61 c_Orderings_Oord__class_Oless(v2, v5, v6) = v7 & $i(v6) & $i(v5) & ( ~
% 235.14/47.61 (v4 = 0) | (( ~ (v7 = 0) | v3 = 0) & ( ~ (v3 = 0) | v7 = 0))))))
% 235.14/47.61
% 235.14/47.61 (fact_less__zeroE)
% 235.14/47.61 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.14/47.61 & $i(v0) & ! [v1: $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1,
% 235.14/47.61 v0) = 0) | ~ $i(v1)))
% 235.14/47.61
% 235.14/47.61 (fact_minus__nat_Odiff__0)
% 235.14/47.61 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.14/47.61 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 235.14/47.61 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2) | ~ $i(v1)))
% 235.14/47.61
% 235.14/47.61 (fact_minus__unique)
% 235.14/47.61 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.14/47.61 (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 235.14/47.61 $i(v0) | ? [v4: any] : ? [v5: $i] : ? [v6: $i] :
% 235.14/47.61 (class_Groups_Ogroup__add(v2) = v4 & c_Groups_Ozero__class_Ozero(v2) = v5 &
% 235.14/47.61 c_Groups_Ouminus__class_Ouminus(v2, v1) = v6 & $i(v6) & $i(v5) & ( ~ (v5 =
% 235.14/47.61 v3) | ~ (v4 = 0) | v6 = v0)))
% 235.14/47.61
% 235.14/47.61 (fact_mult__0)
% 235.14/47.61 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.14/47.61 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~
% 235.14/47.61 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0, v1) = v2) | ~ $i(v1)))
% 235.14/47.61
% 235.14/47.61 (fact_mult__0__right)
% 235.14/47.61 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.14/47.61 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~
% 235.14/47.61 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1, v0) = v2) | ~ $i(v1)))
% 235.14/47.61
% 235.14/47.61 (fact_mult__2)
% 235.14/47.61 $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 235.14/47.61 c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4:
% 235.14/47.61 $i] : ! [v5: $i] : ( ~ (c_Groups_Otimes__class_Otimes(v3, v4, v2) = v5) |
% 235.14/47.61 ~ (c_Int_Onumber__class_Onumber__of(v3, v1) = v4) | ~ $i(v3) | ~ $i(v2)
% 235.14/47.61 | ? [v6: any] : ? [v7: $i] : (class_Int_Onumber__ring(v3) = v6 &
% 235.14/47.61 c_Groups_Oplus__class_Oplus(v3, v2, v2) = v7 & $i(v7) & ( ~ (v6 = 0) |
% 235.14/47.61 v7 = v5))))
% 235.14/47.61
% 235.14/47.61 (fact_mult__2__right)
% 235.14/47.61 $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 235.14/47.61 c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4:
% 235.14/47.61 $i] : ! [v5: $i] : ( ~ (c_Groups_Otimes__class_Otimes(v3, v2, v4) = v5) |
% 235.14/47.61 ~ (c_Int_Onumber__class_Onumber__of(v3, v1) = v4) | ~ $i(v3) | ~ $i(v2)
% 235.14/47.61 | ? [v6: any] : ? [v7: $i] : (class_Int_Onumber__ring(v3) = v6 &
% 235.14/47.61 c_Groups_Oplus__class_Oplus(v3, v2, v2) = v7 & $i(v7) & ( ~ (v6 = 0) |
% 235.14/47.61 v7 = v5))))
% 235.14/47.61
% 235.14/47.61 (fact_mult__cancel1)
% 235.14/47.61 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.14/47.61 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.14/47.61 $i] : (v5 = v4 | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) =
% 235.14/47.61 v4) | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v1) = v5) | ~
% 235.14/47.61 $i(v3) | ~ $i(v2) | ~ $i(v1) | ( ~ (v3 = v0) & ~ (v2 = v1))) & ! [v1:
% 235.14/47.61 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v0 | v2 = v1 | ~
% 235.14/47.61 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) = v4) | ~
% 235.14/47.61 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v1) = v4) | ~ $i(v3) | ~
% 235.14/47.61 $i(v2) | ~ $i(v1)))
% 235.14/47.61
% 235.14/47.61 (fact_mult__cancel2)
% 235.14/47.61 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.14/47.61 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.14/47.61 $i] : (v5 = v4 | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) =
% 235.14/47.61 v4) | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1, v2) = v5) | ~
% 235.14/47.61 $i(v3) | ~ $i(v2) | ~ $i(v1) | ( ~ (v3 = v1) & ~ (v2 = v0))) & ! [v1:
% 235.14/47.61 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v1 | v2 = v0 | ~
% 235.14/47.61 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) = v4) | ~
% 235.14/47.61 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1, v2) = v4) | ~ $i(v3) | ~
% 235.14/47.61 $i(v2) | ~ $i(v1)))
% 235.14/47.61
% 235.14/47.61 (fact_mult__eq__1__iff)
% 235.14/47.62 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 235.14/47.62 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & c_Nat_OSuc(v0) = v1 & $i(v1)
% 235.14/47.62 & $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~
% 235.14/47.62 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) = v1) | ~ $i(v3) | ~
% 235.14/47.62 $i(v2) | (v3 = v1 & v2 = v1)) & ! [v2: $i] : (v2 = v1 | ~
% 235.14/47.62 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1, v1) = v2)))
% 235.14/47.62
% 235.14/47.62 (fact_mult__eq__if)
% 235.14/47.62 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 235.14/47.62 (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 &
% 235.14/47.62 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) & ! [v2:
% 235.14/47.62 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v3 = v0 |
% 235.14/47.62 ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v4, v2) = v5) | ~
% 235.14/47.62 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1) = v4) | ~
% 235.14/47.62 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v5) = v6) | ~ $i(v3) | ~
% 235.14/47.62 $i(v2) | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) = v6 &
% 235.14/47.62 $i(v6))) & ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 235.14/47.62 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0, v2) = v3) | ~ $i(v2)))
% 235.14/47.62
% 235.14/47.62 (fact_mult__eq__self__implies__10)
% 235.14/47.62 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 235.14/47.62 (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 235.14/47.62 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & ! [v2:
% 235.14/47.62 $i] : ! [v3: $i] : (v3 = v1 | v2 = v0 | ~
% 235.14/47.62 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) = v3) | ~ $i(v3) | ~
% 235.14/47.62 $i(v2)))
% 235.14/47.62
% 235.14/47.62 (fact_mult__imp__div__pos__less)
% 235.14/47.62 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.14/47.62 int] : (v5 = 0 | ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v2) = v4) | ~
% 235.14/47.62 (c_Orderings_Oord__class_Oless(v3, v4, v0) = v5) | ~ $i(v3) | ~ $i(v2) |
% 235.14/47.62 ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: $i] : ? [v8: any] : ? [v9:
% 235.14/47.62 $i] : ? [v10: any] : (class_Fields_Olinordered__field(v3) = v6 &
% 235.14/47.62 c_Groups_Otimes__class_Otimes(v3, v0, v2) = v9 &
% 235.14/47.62 c_Groups_Ozero__class_Ozero(v3) = v7 & c_Orderings_Oord__class_Oless(v3,
% 235.14/47.62 v7, v2) = v8 & c_Orderings_Oord__class_Oless(v3, v1, v9) = v10 & $i(v9)
% 235.14/47.62 & $i(v7) & ( ~ (v10 = 0) | ~ (v8 = 0) | ~ (v6 = 0))))
% 235.14/47.62
% 235.14/47.62 (fact_mult__is__0)
% 235.14/47.62 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.14/47.62 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 235.14/47.62 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v1) = v3) | ~ $i(v2) | ~
% 235.14/47.62 $i(v1) | ( ~ (v2 = v0) & ~ (v1 = v0))) & ! [v1: $i] : ! [v2: $i] : (v2
% 235.14/47.62 = v0 | v1 = v0 | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v1) =
% 235.14/47.62 v0) | ~ $i(v2) | ~ $i(v1)))
% 235.14/47.62
% 235.14/47.62 (fact_mult__le__cancel1)
% 235.14/47.62 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.14/47.62 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.14/47.62 $i] : ! [v6: int] : (v6 = 0 | ~
% 235.14/47.62 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) = v4) | ~
% 235.14/47.62 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v1) = v5) | ~
% 235.14/47.62 (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5) = v6) | ~ $i(v3)
% 235.14/47.62 | ~ $i(v2) | ~ $i(v1) | ? [v7: int] : ( ~ (v7 = 0) &
% 235.14/47.62 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) = v7 &
% 235.14/47.62 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) = 0)) & ! [v1: $i] :
% 235.14/47.62 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 235.14/47.62 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) = v4) | ~
% 235.14/47.62 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v1) = v5) | ~
% 235.14/47.62 (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5) = 0) | ~ $i(v3) |
% 235.14/47.62 ~ $i(v2) | ~ $i(v1) | ? [v6: any] : ? [v7: any] :
% 235.14/47.62 (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) = v7 &
% 235.14/47.62 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) = v6 & ( ~ (v6 = 0) |
% 235.14/47.62 v7 = 0))))
% 235.14/47.62
% 235.14/47.62 (fact_mult__le__cancel2)
% 235.14/47.62 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.14/47.62 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.14/47.62 $i] : ! [v6: int] : (v6 = 0 | ~
% 235.14/47.62 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) = v4) | ~
% 235.14/47.62 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1, v2) = v5) | ~
% 235.14/47.62 (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5) = v6) | ~ $i(v3)
% 235.14/47.62 | ~ $i(v2) | ~ $i(v1) | ? [v7: int] : ( ~ (v7 = 0) &
% 235.14/47.62 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v1) = v7 &
% 235.14/47.62 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) = 0)) & ! [v1: $i] :
% 235.14/47.62 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 235.14/47.62 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) = v4) | ~
% 235.14/47.62 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1, v2) = v5) | ~
% 235.14/47.62 (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5) = 0) | ~ $i(v3) |
% 235.14/47.62 ~ $i(v2) | ~ $i(v1) | ? [v6: any] : ? [v7: any] :
% 235.14/47.62 (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v1) = v7 &
% 235.14/47.62 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) = v6 & ( ~ (v6 = 0) |
% 235.14/47.62 v7 = 0))))
% 235.14/47.62
% 235.14/47.62 (fact_mult__less__cancel1)
% 235.14/47.62 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.14/47.62 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.14/47.62 $i] : ! [v6: int] : (v6 = 0 | ~
% 235.14/47.62 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) = v4) | ~
% 235.14/47.62 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v1) = v5) | ~
% 235.14/47.62 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) = v6) | ~ $i(v3) | ~
% 235.14/47.62 $i(v2) | ~ $i(v1) | ? [v7: any] : ? [v8: any] :
% 235.14/47.62 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) = v8 &
% 235.14/47.62 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) = v7 & ( ~ (v8 = 0) |
% 235.14/47.62 ~ (v7 = 0)))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i]
% 235.14/47.62 : ! [v5: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) =
% 235.14/47.62 v4) | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v1) = v5) | ~
% 235.14/47.62 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) = 0) | ~ $i(v3) | ~
% 235.14/47.62 $i(v2) | ~ $i(v1) | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) =
% 235.14/47.62 0 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) = 0)))
% 235.14/47.62
% 235.14/47.62 (fact_mult__less__cancel2)
% 235.14/47.62 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.14/47.62 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.14/47.62 $i] : ! [v6: int] : (v6 = 0 | ~
% 235.14/47.62 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) = v4) | ~
% 235.14/47.62 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1, v2) = v5) | ~
% 235.14/47.62 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) = v6) | ~ $i(v3) | ~
% 235.14/47.62 $i(v2) | ~ $i(v1) | ? [v7: any] : ? [v8: any] :
% 235.14/47.62 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v1) = v8 &
% 235.14/47.62 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) = v7 & ( ~ (v8 = 0) |
% 235.14/47.62 ~ (v7 = 0)))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i]
% 235.14/47.62 : ! [v5: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) =
% 235.14/47.62 v4) | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1, v2) = v5) | ~
% 235.14/47.62 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) = 0) | ~ $i(v3) | ~
% 235.14/47.62 $i(v2) | ~ $i(v1) | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v1) =
% 235.14/47.62 0 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) = 0)))
% 235.14/47.62
% 235.14/47.62 (fact_mult__less__mono1)
% 235.14/47.62 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.14/47.62 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.14/47.62 $i] : ! [v6: int] : (v6 = 0 | ~
% 235.14/47.62 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v1) = v4) | ~
% 235.14/47.62 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v1) = v5) | ~
% 235.14/47.62 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) = v6) | ~ $i(v3) | ~
% 235.14/47.62 $i(v2) | ~ $i(v1) | ? [v7: any] : ? [v8: any] :
% 235.14/47.62 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v2) = v7 &
% 235.14/47.62 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) = v8 & ( ~ (v8 = 0) |
% 235.14/47.63 ~ (v7 = 0)))))
% 235.14/47.63
% 235.14/47.63 (fact_mult__less__mono2)
% 235.14/47.63 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.14/47.63 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.14/47.63 $i] : ! [v6: int] : (v6 = 0 | ~
% 235.14/47.63 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1, v3) = v4) | ~
% 235.14/47.63 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1, v2) = v5) | ~
% 235.14/47.63 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) = v6) | ~ $i(v3) | ~
% 235.14/47.63 $i(v2) | ~ $i(v1) | ? [v7: any] : ? [v8: any] :
% 235.14/47.63 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v2) = v7 &
% 235.14/47.63 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) = v8 & ( ~ (v8 = 0) |
% 235.14/47.63 ~ (v7 = 0)))))
% 235.14/47.63
% 235.14/47.63 (fact_mult__nat__number__of)
% 235.50/47.63 $i(tc_Int_Oint) & $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] :
% 235.50/47.63 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) & ! [v1: $i] : !
% 235.50/47.63 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v0 | ~
% 235.50/47.63 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v4) = v5) | ~
% 235.50/47.63 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3) | ~
% 235.50/47.63 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v4) | ~ $i(v2) | ~
% 235.50/47.63 $i(v1) | ? [v6: int] : ( ~ (v6 = 0) &
% 235.50/47.63 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, c_Int_OPls) = v6)) & !
% 235.50/47.63 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 235.50/47.63 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v4) = v5) | ~
% 235.50/47.63 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3) | ~
% 235.50/47.63 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v4) | ~ $i(v2) | ~
% 235.50/47.63 $i(v1) | ? [v6: any] : ? [v7: $i] : ? [v8: $i] :
% 235.50/47.63 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v2, v1) = v7 &
% 235.50/47.63 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v7) = v8 &
% 235.50/47.63 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, c_Int_OPls) = v6 & $i(v8)
% 235.50/47.63 & $i(v7) & (v8 = v5 | v6 = 0))))
% 235.50/47.63
% 235.50/47.63 (fact_mult__numeral__1)
% 235.50/47.63 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & !
% 235.50/47.63 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~
% 235.50/47.63 (c_Groups_Otimes__class_Otimes(v2, v3, v1) = v4) | ~
% 235.50/47.63 (c_Int_Onumber__class_Onumber__of(v2, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 235.50/47.63 ? [v5: int] : ( ~ (v5 = 0) & class_Int_Onumber__ring(v2) = v5)))
% 235.50/47.63
% 235.50/47.63 (fact_mult__numeral__1__right)
% 235.50/47.63 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & !
% 235.50/47.63 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~
% 235.50/47.63 (c_Groups_Otimes__class_Otimes(v2, v1, v3) = v4) | ~
% 235.50/47.63 (c_Int_Onumber__class_Onumber__of(v2, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 235.50/47.63 ? [v5: int] : ( ~ (v5 = 0) & class_Int_Onumber__ring(v2) = v5)))
% 235.50/47.63
% 235.50/47.63 (fact_n__less__m__mult__n)
% 235.50/47.63 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 235.50/47.63 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & c_Nat_OSuc(v0) = v1 & $i(v1)
% 235.50/47.63 & $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~
% 235.50/47.63 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v3) = 0) | ~
% 235.50/47.63 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) = 0) | ~ $i(v3) | ~
% 235.50/47.63 $i(v2) | ? [v4: $i] : (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v3)
% 235.50/47.63 = v4 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4) = 0 &
% 235.50/47.63 $i(v4))))
% 235.50/47.63
% 235.50/47.63 (fact_n__less__n__mult__m)
% 235.50/47.63 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 235.50/47.63 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & c_Nat_OSuc(v0) = v1 & $i(v1)
% 235.50/47.63 & $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~
% 235.50/47.63 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v3) = 0) | ~
% 235.50/47.63 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) = 0) | ~ $i(v3) | ~
% 235.50/47.63 $i(v2) | ? [v4: $i] : (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2)
% 235.50/47.63 = v4 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4) = 0 &
% 235.50/47.63 $i(v4))))
% 235.50/47.63
% 235.50/47.63 (fact_nat_Osimps_I2_J)
% 235.50/47.63 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.50/47.63 & $i(v0) & ! [v1: $i] : ( ~ (c_Nat_OSuc(v1) = v0) | ~ $i(v1)))
% 235.50/47.63
% 235.50/47.63 (fact_nat_Osimps_I3_J)
% 235.50/47.63 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.50/47.63 & $i(v0) & ! [v1: $i] : ( ~ (c_Nat_OSuc(v1) = v0) | ~ $i(v1)))
% 235.50/47.63
% 235.50/47.63 (fact_nat__0__less__mult__iff)
% 235.50/47.63 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.50/47.63 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] : ( ~
% 235.50/47.63 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) = v3) | ~
% 235.50/47.63 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) = v4) | ~ $i(v2) | ~
% 235.50/47.63 $i(v1) | ? [v5: $i] : ? [v6: int] : ( ~ (v6 = 0) &
% 235.50/47.63 c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v1) = v5 &
% 235.50/47.63 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v5) = v6 & $i(v5)) | (v4
% 235.50/47.63 = 0 & v3 = 0)) & ! [v1: $i] : ! [v2: $i] : ( ~
% 235.50/47.63 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) = 0) | ~
% 235.50/47.63 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) = 0) | ~ $i(v2) | ~
% 235.50/47.63 $i(v1) | ? [v3: $i] : (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v1)
% 235.50/47.63 = v3 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) = 0 &
% 235.50/47.63 $i(v3))))
% 235.50/47.63
% 235.50/47.63 (fact_nat__1__add__1)
% 235.50/47.63 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 235.50/47.63 ? [v3: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 235.50/47.63 c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 &
% 235.50/47.63 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v1 &
% 235.50/47.63 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v0) = v1 & $i(v3) & $i(v2) &
% 235.50/47.63 $i(v1) & $i(v0))
% 235.50/47.63
% 235.50/47.63 (fact_nat__diff__split)
% 235.50/47.63 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.50/47.63 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.50/47.63 $i] : ( ~ (hAPP(v3, v4) = v5) | ~
% 235.50/47.63 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v4) | ~ $i(v3) | ~
% 235.50/47.63 $i(v2) | ~ $i(v1) | ? [v6: any] : ? [v7: any] : ? [v8: $i] : ? [v9:
% 235.50/47.63 any] : (hBOOL(v8) = v9 & hBOOL(v5) = v6 & hAPP(v3, v0) = v8 &
% 235.50/47.63 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) = v7 & $i(v8) & ( ~
% 235.50/47.63 (v6 = 0) | ( ! [v10: $i] : ( ~
% 235.50/47.63 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v10) = v2) | ~
% 235.50/47.63 $i(v10) | ? [v11: $i] : (hBOOL(v11) = 0 & hAPP(v3, v10) = v11 &
% 235.50/47.63 $i(v11))) & ( ~ (v7 = 0) | v9 = 0))))) & ! [v1: $i] : ! [v2:
% 235.50/47.63 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v3, v4) = v5) |
% 235.50/47.63 ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v4) | ~ $i(v3) |
% 235.50/47.63 ~ $i(v2) | ~ $i(v1) | ? [v6: any] : ? [v7: $i] : ? [v8: any] : ? [v9:
% 235.50/47.63 any] : (hBOOL(v7) = v8 & hBOOL(v5) = v9 & hAPP(v3, v0) = v7 &
% 235.50/47.63 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) = v6 & $i(v7) & (v9 =
% 235.50/47.63 0 | (v6 = 0 & ~ (v8 = 0)))) | ? [v6: $i] : ? [v7: $i] : ? [v8:
% 235.50/47.63 int] : ( ~ (v8 = 0) & hBOOL(v7) = v8 & hAPP(v3, v6) = v7 &
% 235.50/47.63 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v6) = v2 & $i(v7) &
% 235.50/47.63 $i(v6))))
% 235.50/47.63
% 235.50/47.63 (fact_nat__diff__split__asm)
% 235.50/47.63 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.50/47.63 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.50/47.63 $i] : ( ~ (hAPP(v3, v4) = v5) | ~
% 235.50/47.63 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v4) | ~ $i(v3) | ~
% 235.50/47.63 $i(v2) | ~ $i(v1) | ? [v6: any] : ? [v7: any] : ? [v8: $i] : ? [v9:
% 235.50/47.63 any] : (hBOOL(v8) = v9 & hBOOL(v5) = v6 & hAPP(v3, v0) = v8 &
% 235.50/47.63 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) = v7 & $i(v8) & ( ~
% 235.50/47.63 (v6 = 0) | ( ! [v10: $i] : ( ~
% 235.50/47.63 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v10) = v2) | ~
% 235.50/47.63 $i(v10) | ? [v11: $i] : (hBOOL(v11) = 0 & hAPP(v3, v10) = v11 &
% 235.50/47.63 $i(v11))) & ( ~ (v7 = 0) | v9 = 0))))) & ! [v1: $i] : ! [v2:
% 235.50/47.63 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v3, v4) = v5) |
% 235.50/47.63 ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v4) | ~ $i(v3) |
% 235.50/47.63 ~ $i(v2) | ~ $i(v1) | ? [v6: any] : ? [v7: $i] : ? [v8: any] : ? [v9:
% 235.50/47.63 any] : (hBOOL(v7) = v8 & hBOOL(v5) = v9 & hAPP(v3, v0) = v7 &
% 235.50/47.63 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) = v6 & $i(v7) & (v9 =
% 235.50/47.63 0 | (v6 = 0 & ~ (v8 = 0)))) | ? [v6: $i] : ? [v7: $i] : ? [v8:
% 235.50/47.63 int] : ( ~ (v8 = 0) & hBOOL(v7) = v8 & hAPP(v3, v6) = v7 &
% 235.50/47.63 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v6) = v2 & $i(v7) &
% 235.50/47.63 $i(v6))))
% 235.50/47.63
% 235.50/47.63 (fact_nat__le__real__less)
% 235.50/47.63 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.63 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 235.50/47.64 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: int] : (v6 = 0
% 235.50/47.64 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v0) = v5) | ~
% 235.50/47.64 (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~ (c_RealDef_Oreal(tc_Nat_Onat,
% 235.50/47.64 v1) = v4) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3,
% 235.50/47.64 v5) = v6) | ~ $i(v2) | ~ $i(v1) | ? [v7: int] : ( ~ (v7 = 0) &
% 235.50/47.64 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) = v7)) & ! [v1:
% 235.50/47.64 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 235.50/47.64 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v0) = v5) | ~
% 235.50/47.64 (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~ (c_RealDef_Oreal(tc_Nat_Onat,
% 235.50/47.64 v1) = v4) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3,
% 235.50/47.64 v5) = 0) | ~ $i(v2) | ~ $i(v1) |
% 235.50/47.64 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) = 0))
% 235.50/47.64
% 235.50/47.64 (fact_nat__less__real__le)
% 235.50/47.64 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.64 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 235.50/47.64 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: int] : (v6 = 0
% 235.50/47.64 | ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5) = v6) |
% 235.50/47.64 ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v0) = v4) | ~
% 235.50/47.64 (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~ (c_RealDef_Oreal(tc_Nat_Onat,
% 235.50/47.64 v1) = v5) | ~ $i(v2) | ~ $i(v1) | ? [v7: int] : ( ~ (v7 = 0) &
% 235.50/47.64 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) = v7)) & ! [v1: $i]
% 235.50/47.64 : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 235.50/47.64 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5) = 0) | ~
% 235.50/47.64 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v0) = v4) | ~
% 235.50/47.64 (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~ (c_RealDef_Oreal(tc_Nat_Onat,
% 235.50/47.64 v1) = v5) | ~ $i(v2) | ~ $i(v1) |
% 235.50/47.64 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) = 0))
% 235.50/47.64
% 235.50/47.64 (fact_nat__lt__two__imp__zero__or__one)
% 235.50/47.64 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 235.50/47.64 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & c_Nat_OSuc(v1) = v2 &
% 235.50/47.64 c_Nat_OSuc(v0) = v1 & $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : (v3 = v1 | v3
% 235.50/47.64 = v0 | ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v2) = 0) | ~
% 235.50/47.64 $i(v3)))
% 235.50/47.64
% 235.50/47.64 (fact_nat__mult__2)
% 235.50/47.64 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 235.50/47.64 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 235.50/47.64 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 235.50/47.64 $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 235.50/47.64 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v3) = v4) | ~ $i(v3) |
% 235.50/47.64 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v3) = v4 & $i(v4))))
% 235.50/47.64
% 235.50/47.64 (fact_nat__mult__2__right)
% 235.50/47.64 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 235.50/47.64 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 235.50/47.64 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 235.50/47.64 $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 235.50/47.64 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) = v4) | ~ $i(v3) |
% 235.50/47.64 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v3) = v4 & $i(v4))))
% 235.50/47.64
% 235.50/47.64 (fact_nat__mult__eq__cancel1)
% 235.50/47.64 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.50/47.64 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.50/47.64 $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) = v4) | ~
% 235.50/47.64 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v1) = v5) | ~ $i(v3) | ~
% 235.50/47.64 $i(v2) | ~ $i(v1) | ? [v6: int] : ( ~ (v6 = 0) &
% 235.50/47.64 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) = v6) | (( ~ (v5 =
% 235.50/47.64 v4) | v2 = v1) & ( ~ (v2 = v1) | v5 = v4))))
% 235.50/47.64
% 235.50/47.64 (fact_nat__mult__eq__cancel__disj)
% 235.50/47.64 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.50/47.64 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.50/47.64 $i] : (v5 = v4 | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) =
% 235.50/47.64 v4) | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v1) = v5) | ~
% 235.50/47.64 $i(v3) | ~ $i(v2) | ~ $i(v1) | ( ~ (v3 = v0) & ~ (v2 = v1))) & ! [v1:
% 235.50/47.64 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v0 | v2 = v1 | ~
% 235.50/47.64 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) = v4) | ~
% 235.50/47.64 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v1) = v4) | ~ $i(v3) | ~
% 235.50/47.64 $i(v2) | ~ $i(v1)))
% 235.50/47.64
% 235.50/47.64 (fact_nat__mult__le__cancel1)
% 235.50/47.64 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.50/47.64 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.50/47.64 $i] : ! [v6: any] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3,
% 235.50/47.64 v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v1) =
% 235.50/47.64 v5) | ~ (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5) = v6) |
% 235.50/47.64 ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v7: any] : ? [v8: any] :
% 235.50/47.64 (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) = v8 &
% 235.50/47.64 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) = v7 & ( ~ (v7 = 0) |
% 235.50/47.64 (( ~ (v8 = 0) | v6 = 0) & ( ~ (v6 = 0) | v8 = 0))))))
% 235.50/47.64
% 235.50/47.64 (fact_nat__mult__less__cancel1)
% 235.50/47.64 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.50/47.64 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.50/47.64 $i] : ! [v6: any] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3,
% 235.50/47.64 v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v1) =
% 235.50/47.64 v5) | ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) = v6) | ~
% 235.50/47.64 $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v7: any] : ? [v8: any] :
% 235.50/47.64 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) = v8 &
% 235.50/47.64 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) = v7 & ( ~ (v7 = 0) |
% 235.50/47.64 (( ~ (v8 = 0) | v6 = 0) & ( ~ (v6 = 0) | v8 = 0))))))
% 235.50/47.64
% 235.50/47.64 (fact_nat__number__of__Pls)
% 235.50/47.64 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] :
% 235.50/47.64 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 235.50/47.64 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = v0 & $i(v0))
% 235.50/47.64
% 235.50/47.64 (fact_nat__number__of__mult__left)
% 235.50/47.64 $i(tc_Int_Oint) & $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] :
% 235.50/47.64 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) & ! [v1: $i] : !
% 235.50/47.64 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 235.50/47.64 $i] : (v7 = v0 | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v5, v1) =
% 235.50/47.64 v6) | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v4, v6) = v7) | ~
% 235.50/47.64 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v4) | ~
% 235.50/47.64 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v5) | ~ $i(v3) | ~
% 235.50/47.64 $i(v2) | ~ $i(v1) | ? [v8: int] : ( ~ (v8 = 0) &
% 235.50/47.64 c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, c_Int_OPls) = v8)) & !
% 235.50/47.64 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 235.50/47.64 $i] : ! [v7: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v5,
% 235.50/47.64 v1) = v6) | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v4, v6) =
% 235.50/47.64 v7) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v4) | ~
% 235.50/47.64 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v5) | ~ $i(v3) | ~
% 235.50/47.64 $i(v2) | ~ $i(v1) | ? [v8: any] : ? [v9: $i] : ? [v10: $i] : ? [v11:
% 235.50/47.64 $i] : (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v3, v2) = v9 &
% 235.50/47.64 c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v10, v1) = v11 &
% 235.50/47.64 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v9) = v10 &
% 235.50/47.64 c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, c_Int_OPls) = v8 &
% 235.50/47.64 $i(v11) & $i(v10) & $i(v9) & (v11 = v7 | v8 = 0))))
% 235.50/47.64
% 235.50/47.64 (fact_nat__numeral__1__eq__1)
% 235.50/47.64 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] :
% 235.50/47.64 (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 235.50/47.64 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1 & $i(v1) & $i(v0))
% 235.50/47.64
% 235.50/47.64 (fact_neg__0__equal__iff__equal)
% 235.50/47.64 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 235.50/47.64 (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 235.50/47.64 [v3: any] : ? [v4: $i] : (class_Groups_Ogroup__add(v1) = v3 &
% 235.50/47.64 c_Groups_Ozero__class_Ozero(v1) = v4 & $i(v4) & ( ~ (v3 = 0) | (( ~ (v4 =
% 235.50/47.64 v2) | v2 = v0) & ( ~ (v4 = v0) | v2 = v0)))))
% 235.50/47.64
% 235.50/47.64 (fact_neg__divide__le__eq)
% 235.50/47.64 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.50/47.64 any] : ( ~ (c_Orderings_Oord__class_Oless__eq(v3, v4, v0) = v5) | ~
% 235.50/47.64 (c_Rings_Oinverse__class_Odivide(v3, v1, v2) = v4) | ~ $i(v3) | ~ $i(v2) |
% 235.50/47.64 ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: $i] : ? [v8: any] : ? [v9:
% 235.50/47.64 $i] : ? [v10: any] : (class_Fields_Olinordered__field(v3) = v6 &
% 235.50/47.64 c_Groups_Otimes__class_Otimes(v3, v0, v2) = v9 &
% 235.50/47.64 c_Orderings_Oord__class_Oless__eq(v3, v9, v1) = v10 &
% 235.50/47.64 c_Groups_Ozero__class_Ozero(v3) = v7 & c_Orderings_Oord__class_Oless(v3,
% 235.50/47.64 v2, v7) = v8 & $i(v9) & $i(v7) & ( ~ (v8 = 0) | ~ (v6 = 0) | (( ~ (v10
% 235.50/47.64 = 0) | v5 = 0) & ( ~ (v5 = 0) | v10 = 0)))))
% 235.50/47.64
% 235.50/47.64 (fact_neg__divide__less__eq)
% 235.50/47.64 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.50/47.64 any] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v2) = v4) | ~
% 235.50/47.64 (c_Orderings_Oord__class_Oless(v3, v4, v0) = v5) | ~ $i(v3) | ~ $i(v2) |
% 235.50/47.64 ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: $i] : ? [v8: any] : ? [v9:
% 235.50/47.64 $i] : ? [v10: any] : (class_Fields_Olinordered__field(v3) = v6 &
% 235.50/47.64 c_Groups_Otimes__class_Otimes(v3, v0, v2) = v9 &
% 235.50/47.64 c_Groups_Ozero__class_Ozero(v3) = v7 & c_Orderings_Oord__class_Oless(v3,
% 235.50/47.64 v9, v1) = v10 & c_Orderings_Oord__class_Oless(v3, v2, v7) = v8 & $i(v9)
% 235.50/47.64 & $i(v7) & ( ~ (v8 = 0) | ~ (v6 = 0) | (( ~ (v10 = 0) | v5 = 0) & ( ~ (v5
% 235.50/47.64 = 0) | v10 = 0)))))
% 235.50/47.64
% 235.50/47.64 (fact_neg__equal__0__iff__equal)
% 235.50/47.64 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 235.50/47.64 (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 235.50/47.64 [v3: any] : ? [v4: $i] : (class_Groups_Ogroup__add(v1) = v3 &
% 235.50/47.64 c_Groups_Ozero__class_Ozero(v1) = v4 & $i(v4) & ( ~ (v3 = 0) | (( ~ (v4 =
% 235.50/47.64 v2) | v2 = v0) & ( ~ (v4 = v0) | v2 = v0)))))
% 235.50/47.65
% 235.50/47.65 (fact_neg__equal__zero)
% 235.50/47.65 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 235.50/47.65 (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 235.50/47.65 [v3: any] : ? [v4: $i] : (class_Groups_Olinordered__ab__group__add(v1) = v3
% 235.50/47.65 & c_Groups_Ozero__class_Ozero(v1) = v4 & $i(v4) & ( ~ (v3 = 0) | (( ~ (v4
% 235.50/47.65 = v0) | v2 = v0) & ( ~ (v2 = v0) | v4 = v0)))))
% 235.50/47.65
% 235.50/47.65 (fact_neg__le__divide__eq)
% 235.50/47.65 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.50/47.65 any] : ( ~ (c_Orderings_Oord__class_Oless__eq(v3, v1, v4) = v5) | ~
% 235.50/47.65 (c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v4) | ~ $i(v3) | ~ $i(v2) |
% 235.50/47.65 ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: $i] : ? [v8: any] : ? [v9:
% 235.50/47.65 $i] : ? [v10: any] : (class_Fields_Olinordered__field(v3) = v6 &
% 235.50/47.65 c_Groups_Otimes__class_Otimes(v3, v1, v2) = v9 &
% 235.50/47.65 c_Orderings_Oord__class_Oless__eq(v3, v0, v9) = v10 &
% 235.50/47.65 c_Groups_Ozero__class_Ozero(v3) = v7 & c_Orderings_Oord__class_Oless(v3,
% 235.50/47.65 v2, v7) = v8 & $i(v9) & $i(v7) & ( ~ (v8 = 0) | ~ (v6 = 0) | (( ~ (v10
% 235.50/47.65 = 0) | v5 = 0) & ( ~ (v5 = 0) | v10 = 0)))))
% 235.50/47.65
% 235.50/47.65 (fact_neg__less__divide__eq)
% 235.50/47.65 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.50/47.65 any] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v4) | ~
% 235.50/47.65 (c_Orderings_Oord__class_Oless(v3, v1, v4) = v5) | ~ $i(v3) | ~ $i(v2) |
% 235.50/47.65 ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: $i] : ? [v8: any] : ? [v9:
% 235.50/47.65 $i] : ? [v10: any] : (class_Fields_Olinordered__field(v3) = v6 &
% 235.50/47.65 c_Groups_Otimes__class_Otimes(v3, v1, v2) = v9 &
% 235.50/47.65 c_Groups_Ozero__class_Ozero(v3) = v7 & c_Orderings_Oord__class_Oless(v3,
% 235.50/47.65 v2, v7) = v8 & c_Orderings_Oord__class_Oless(v3, v0, v9) = v10 & $i(v9)
% 235.50/47.65 & $i(v7) & ( ~ (v8 = 0) | ~ (v6 = 0) | (( ~ (v10 = 0) | v5 = 0) & ( ~ (v5
% 235.50/47.65 = 0) | v10 = 0)))))
% 235.50/47.65
% 235.50/47.65 (fact_neq0__conv)
% 235.50/47.65 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.50/47.65 & $i(v0) & ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v0) = 0) & !
% 235.50/47.65 [v1: $i] : ! [v2: int] : (v2 = 0 | v1 = v0 | ~
% 235.50/47.65 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) = v2) | ~ $i(v1)))
% 235.50/47.65
% 235.50/47.65 (fact_nonzero__imp__inverse__nonzero)
% 235.50/47.65 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 235.50/47.65 (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 235.50/47.65 [v3: any] : ? [v4: $i] : (class_Rings_Odivision__ring(v1) = v3 &
% 235.50/47.65 c_Groups_Ozero__class_Ozero(v1) = v4 & $i(v4) & ( ~ (v4 = v2) | ~ (v3 =
% 235.50/47.65 0) | v2 = v0)))
% 235.50/47.65
% 235.50/47.65 (fact_nonzero__inverse__eq__divide)
% 235.50/47.65 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.50/47.65 (c_Groups_Oone__class_Oone(v1) = v2) | ~
% 235.50/47.65 (c_Rings_Oinverse__class_Odivide(v1, v2, v0) = v3) | ~ $i(v1) | ~ $i(v0) |
% 235.50/47.65 ? [v4: any] : ? [v5: $i] : ? [v6: $i] : (class_Rings_Odivision__ring(v1)
% 235.50/47.65 = v4 & c_Rings_Oinverse__class_Oinverse(v1, v0) = v6 &
% 235.50/47.65 c_Groups_Ozero__class_Ozero(v1) = v5 & $i(v6) & $i(v5) & ( ~ (v4 = 0) | v6
% 235.50/47.65 = v3 | v5 = v0)))
% 235.50/47.65
% 235.50/47.65 (fact_norm__eq__zero)
% 235.50/47.65 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.65 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.65 ! [v2: $i] : ! [v3: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) =
% 235.50/47.65 v3) | ~ $i(v2) | ~ $i(v1) | ? [v4: any] : ? [v5: $i] :
% 235.50/47.65 (class_RealVector_Oreal__normed__vector(v2) = v4 &
% 235.50/47.65 c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v5) & ( ~ (v4 = 0) | (( ~ (v5
% 235.50/47.65 = v1) | v3 = v0) & ( ~ (v3 = v0) | v5 = v1))))))
% 235.50/47.65
% 235.50/47.65 (fact_norm__ge__zero)
% 235.50/47.65 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.65 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.65 ! [v2: $i] : ! [v3: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) =
% 235.50/47.65 v3) | ~ $i(v2) | ~ $i(v1) | ? [v4: any] : ? [v5: any] :
% 235.50/47.65 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) = v5 &
% 235.50/47.65 class_RealVector_Oreal__normed__vector(v2) = v4 & ( ~ (v4 = 0) | v5 =
% 235.50/47.65 0))))
% 235.50/47.65
% 235.50/47.65 (fact_norm__le__zero__iff)
% 235.50/47.65 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.65 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.65 ! [v2: $i] : ! [v3: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) =
% 235.50/47.65 v3) | ~ $i(v2) | ~ $i(v1) | ? [v4: any] : ? [v5: any] : ? [v6: $i]
% 235.50/47.65 : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) = v5 &
% 235.50/47.65 class_RealVector_Oreal__normed__vector(v2) = v4 &
% 235.50/47.65 c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~ (v4 = 0) | (( ~ (v6
% 235.50/47.65 = v1) | v5 = 0) & ( ~ (v5 = 0) | v6 = v1))))))
% 235.50/47.65
% 235.50/47.65 (fact_norm__minus__commute)
% 235.50/47.65 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 235.50/47.65 (c_RealVector_Onorm__class_Onorm(v2, v3) = v4) | ~
% 235.50/47.65 (c_Groups_Ominus__class_Ominus(v2, v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) |
% 235.50/47.65 ~ $i(v0) | ? [v5: any] : ? [v6: $i] : ? [v7: $i] :
% 235.50/47.65 (class_RealVector_Oreal__normed__vector(v2) = v5 &
% 235.50/47.65 c_RealVector_Onorm__class_Onorm(v2, v6) = v7 &
% 235.50/47.65 c_Groups_Ominus__class_Ominus(v2, v1, v0) = v6 & $i(v7) & $i(v6) & ( ~ (v5
% 235.50/47.65 = 0) | v7 = v4)))
% 235.50/47.65
% 235.50/47.65 (fact_norm__not__less__zero)
% 235.50/47.65 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.65 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.65 ! [v2: $i] : ! [v3: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) =
% 235.50/47.65 v3) | ~ $i(v2) | ~ $i(v1) | ? [v4: any] : ? [v5: any] :
% 235.50/47.65 (class_RealVector_Oreal__normed__vector(v2) = v4 &
% 235.50/47.65 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0) = v5 & ( ~ (v5 =
% 235.50/47.65 0) | ~ (v4 = 0)))))
% 235.50/47.65
% 235.50/47.65 (fact_norm__one)
% 235.50/47.65 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.65 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 235.50/47.65 [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ (c_Groups_Oone__class_Oone(v1) = v2)
% 235.50/47.65 | ~ (c_RealVector_Onorm__class_Onorm(v1, v2) = v3) | ~ $i(v1) | ? [v4:
% 235.50/47.65 int] : ( ~ (v4 = 0) & class_RealVector_Oreal__normed__algebra__1(v1) =
% 235.50/47.65 v4)))
% 235.50/47.65
% 235.50/47.65 (fact_norm__ratiotest__lemma)
% 235.50/47.65 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.65 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.65 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 235.50/47.65 $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v6) = v7) |
% 235.50/47.65 ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v7) = 0) | ~
% 235.50/47.65 (c_RealVector_Onorm__class_Onorm(v4, v2) = v5) | ~
% 235.50/47.65 (c_RealVector_Onorm__class_Onorm(v4, v1) = v6) | ~ $i(v4) | ~ $i(v3) |
% 235.50/47.65 ~ $i(v2) | ~ $i(v1) | ? [v8: any] : ? [v9: any] : ? [v10: $i] :
% 235.50/47.65 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) = v9 &
% 235.50/47.65 class_RealVector_Oreal__normed__vector(v4) = v8 &
% 235.50/47.65 c_Groups_Ozero__class_Ozero(v4) = v10 & $i(v10) & ( ~ (v9 = 0) | ~ (v8
% 235.50/47.65 = 0) | v10 = v2))))
% 235.50/47.65
% 235.50/47.65 (fact_norm__zero)
% 235.50/47.65 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.65 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.65 ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ (c_Groups_Ozero__class_Ozero(v1) =
% 235.50/47.65 v2) | ~ (c_RealVector_Onorm__class_Onorm(v1, v2) = v3) | ~ $i(v1) | ?
% 235.50/47.65 [v4: int] : ( ~ (v4 = 0) & class_RealVector_Oreal__normed__vector(v1) =
% 235.50/47.65 v4)))
% 235.50/47.65
% 235.50/47.65 (fact_not__less0)
% 235.50/47.65 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.50/47.65 & $i(v0) & ! [v1: $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1,
% 235.50/47.65 v0) = 0) | ~ $i(v1)))
% 235.50/47.65
% 235.50/47.65 (fact_not__real__of__nat__less__zero)
% 235.50/47.65 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.65 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.65 ! [v2: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~ $i(v1) | ?
% 235.50/47.65 [v3: int] : ( ~ (v3 = 0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 235.50/47.65 v2, v0) = v3)))
% 235.50/47.65
% 235.50/47.65 (fact_not__real__square__gt__zero)
% 235.50/47.65 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.65 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.65 ! [v2: $i] : (v1 = v0 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,
% 235.50/47.65 v1, v1) = v2) | ~ $i(v1) |
% 235.50/47.65 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) = 0) & ! [v1: $i]
% 235.50/47.65 : ( ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0, v0) = v1) | ?
% 235.50/47.65 [v2: int] : ( ~ (v2 = 0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 235.50/47.65 v0, v1) = v2)))
% 235.50/47.65
% 235.50/47.65 (fact_number__of1)
% 235.50/47.65 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 235.50/47.65 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 235.50/47.65 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~ $i(v1) | ?
% 235.50/47.65 [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: any] : ? [v7: $i] : ?
% 235.50/47.65 [v8: $i] : ? [v9: any] : (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 235.50/47.65 v0, v8) = v9 & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v5)
% 235.50/47.65 = v6 & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) = v3 &
% 235.50/47.65 c_Int_OBit1(v1) = v7 & c_Int_OBit0(v1) = v4 &
% 235.50/47.65 c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v7) = v8 &
% 235.50/47.65 c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v4) = v5 & $i(v8) & $i(v7)
% 235.50/47.66 & $i(v5) & $i(v4) & ( ~ (v3 = 0) | (v9 = 0 & v6 = 0)))))
% 235.50/47.66
% 235.50/47.66 (fact_number__of2)
% 235.50/47.66 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] :
% 235.50/47.66 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) = 0 &
% 235.50/47.66 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 &
% 235.50/47.66 c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) = v1 & $i(v1) &
% 235.50/47.66 $i(v0))
% 235.50/47.66
% 235.50/47.66 (fact_numeral__1__eq__1)
% 235.50/47.66 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & !
% 235.50/47.66 [v1: $i] : ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2)
% 235.50/47.66 | ~ $i(v1) | ? [v3: any] : ? [v4: $i] : (class_Int_Onumber__ring(v1) =
% 235.50/47.66 v3 & c_Groups_Oone__class_Oone(v1) = v4 & $i(v4) & ( ~ (v3 = 0) | v4 =
% 235.50/47.66 v2))))
% 235.50/47.66
% 235.50/47.66 (fact_numeral__1__eq__Suc__0)
% 235.50/47.66 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 235.50/47.66 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v2 & c_Int_OBit1(c_Int_OPls) = v0
% 235.50/47.66 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1 & c_Nat_OSuc(v2) =
% 235.50/47.66 v1 & $i(v2) & $i(v1) & $i(v0))
% 235.50/47.66
% 235.50/47.66 (fact_numeral__2__eq__2)
% 235.50/47.66 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 235.50/47.66 ? [v3: $i] : ? [v4: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v3 &
% 235.50/47.66 c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 235.50/47.66 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & c_Nat_OSuc(v4) = v2
% 235.50/47.66 & c_Nat_OSuc(v3) = v4 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 235.50/47.66
% 235.50/47.66 (fact_numeral__3__eq__3)
% 235.50/47.66 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 235.50/47.66 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 235.50/47.66 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v3 & c_Int_OBit1(v0) = v1 &
% 235.50/47.66 c_Int_OBit1(c_Int_OPls) = v0 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 235.50/47.66 v1) = v2 & c_Nat_OSuc(v5) = v2 & c_Nat_OSuc(v4) = v5 & c_Nat_OSuc(v3) = v4
% 235.50/47.66 & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 235.50/47.66
% 235.50/47.66 (fact_odd__less__0)
% 235.50/47.66 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 235.50/47.66 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 &
% 235.50/47.66 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v1 & $i(v1) & $i(v0) & ! [v2:
% 235.50/47.66 $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 235.50/47.66 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v2) = v4) | ~
% 235.50/47.66 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v2) = v3) | ~ $i(v2) | ?
% 235.50/47.66 [v5: any] : ? [v6: any] : (c_Orderings_Oord__class_Oless(tc_Int_Oint, v4,
% 235.50/47.66 v1) = v6 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v5 & (
% 235.50/47.66 ~ (v5 = 0) | v6 = 0))) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 235.50/47.66 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v2) = v4) | ~
% 235.50/47.66 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v2) = v3) | ~ $i(v2) | ?
% 235.50/47.66 [v5: any] : ? [v6: any] : (c_Orderings_Oord__class_Oless(tc_Int_Oint, v4,
% 235.50/47.66 v1) = v5 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v6 & (
% 235.50/47.66 ~ (v5 = 0) | v6 = 0))))
% 235.50/47.66
% 235.50/47.66 (fact_odd__nonzero)
% 235.50/47.66 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 235.50/47.66 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 &
% 235.50/47.66 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v1 & $i(v1) & $i(v0) & ! [v2:
% 235.50/47.66 $i] : ! [v3: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v2)
% 235.50/47.66 = v1) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v2) = v3) | ~
% 235.50/47.66 $i(v2)))
% 235.50/47.66
% 235.50/47.66 (fact_one__add__one__is__two)
% 235.50/47.66 $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 235.50/47.66 c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~
% 235.50/47.66 (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ $i(v2) | ? [v4: any]
% 235.50/47.66 : ? [v5: $i] : ? [v6: $i] : (class_Int_Onumber__ring(v2) = v4 &
% 235.50/47.66 c_Groups_Oone__class_Oone(v2) = v5 & c_Groups_Oplus__class_Oplus(v2, v5,
% 235.50/47.66 v5) = v6 & $i(v6) & $i(v5) & ( ~ (v4 = 0) | v6 = v3))))
% 235.50/47.66
% 235.50/47.66 (fact_one__is__add)
% 235.50/47.66 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 235.50/47.66 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & c_Nat_OSuc(v0) = v1 & $i(v1)
% 235.50/47.66 & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~
% 235.50/47.66 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v2) = v4) | ~ $i(v3) | ~
% 235.50/47.66 $i(v2) | (( ~ (v3 = v1) | ~ (v2 = v0)) & ( ~ (v3 = v0) | ~ (v2 = v1))))
% 235.50/47.66 & ! [v2: $i] : ! [v3: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,
% 235.50/47.66 v3, v2) = v1) | ~ $i(v3) | ~ $i(v2) | (v3 = v1 & v2 = v0) | (v3 = v0
% 235.50/47.66 & v2 = v1)))
% 235.50/47.66
% 235.50/47.66 (fact_one__is__num__one)
% 235.50/47.66 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] :
% 235.50/47.66 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & c_Int_OBit1(c_Int_OPls) = v1 &
% 235.50/47.66 c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v0 & $i(v1) & $i(v0))
% 235.50/47.66
% 235.50/47.66 (fact_one__le__mult__iff)
% 235.50/47.66 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 235.50/47.66 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & c_Nat_OSuc(v0) = v1 & $i(v1)
% 235.50/47.66 & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: any] : ! [v5: any] : ( ~
% 235.50/47.66 (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v3) = v4) | ~
% 235.50/47.66 (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v2) = v5) | ~ $i(v3)
% 235.50/47.66 | ~ $i(v2) | ? [v6: $i] : ? [v7: int] : ( ~ (v7 = 0) &
% 235.50/47.66 c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) = v6 &
% 235.50/47.66 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v6) = v7 & $i(v6)) |
% 235.50/47.66 (v5 = 0 & v4 = 0)) & ! [v2: $i] : ! [v3: $i] : ( ~
% 235.50/47.66 (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v3) = 0) | ~
% 235.50/47.66 (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v2) = 0) | ~ $i(v3) |
% 235.50/47.66 ~ $i(v2) | ? [v4: $i] : (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3,
% 235.50/47.66 v2) = v4 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v4) = 0
% 235.50/47.66 & $i(v4))))
% 235.50/47.66
% 235.50/47.66 (fact_one__less__mult)
% 235.50/47.66 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 235.50/47.66 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & c_Nat_OSuc(v0) = v1 & $i(v1)
% 235.50/47.66 & $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~
% 235.50/47.66 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v3) = 0) | ~
% 235.50/47.66 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) = 0) | ~ $i(v3) | ~
% 235.50/47.66 $i(v2) | ? [v4: $i] : (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v3)
% 235.50/47.66 = v4 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v4) = 0 &
% 235.50/47.66 $i(v4))))
% 235.50/47.66
% 235.50/47.66 (fact_plus__nat_Oadd__0)
% 235.50/47.66 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.50/47.66 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 235.50/47.66 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v2) | ~ $i(v1)))
% 235.50/47.66
% 235.50/47.66 (fact_pos2)
% 235.50/47.66 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 235.50/47.66 ? [v3: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 235.50/47.66 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 235.50/47.66 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 &
% 235.50/47.66 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) = 0 & $i(v3) & $i(v2) &
% 235.50/47.66 $i(v1) & $i(v0))
% 235.50/47.66
% 235.50/47.66 (fact_pos__divide__le__eq)
% 235.50/47.66 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.50/47.66 any] : ( ~ (c_Orderings_Oord__class_Oless__eq(v3, v4, v0) = v5) | ~
% 235.50/47.66 (c_Rings_Oinverse__class_Odivide(v3, v1, v2) = v4) | ~ $i(v3) | ~ $i(v2) |
% 235.50/47.66 ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: $i] : ? [v8: any] : ? [v9:
% 235.50/47.66 $i] : ? [v10: any] : (class_Fields_Olinordered__field(v3) = v6 &
% 235.50/47.66 c_Groups_Otimes__class_Otimes(v3, v0, v2) = v9 &
% 235.50/47.66 c_Orderings_Oord__class_Oless__eq(v3, v1, v9) = v10 &
% 235.50/47.66 c_Groups_Ozero__class_Ozero(v3) = v7 & c_Orderings_Oord__class_Oless(v3,
% 235.50/47.66 v7, v2) = v8 & $i(v9) & $i(v7) & ( ~ (v8 = 0) | ~ (v6 = 0) | (( ~ (v10
% 235.50/47.66 = 0) | v5 = 0) & ( ~ (v5 = 0) | v10 = 0)))))
% 235.50/47.66
% 235.50/47.66 (fact_pos__divide__less__eq)
% 235.50/47.66 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.50/47.66 any] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v2) = v4) | ~
% 235.50/47.66 (c_Orderings_Oord__class_Oless(v3, v4, v0) = v5) | ~ $i(v3) | ~ $i(v2) |
% 235.50/47.66 ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: $i] : ? [v8: any] : ? [v9:
% 235.50/47.66 $i] : ? [v10: any] : (class_Fields_Olinordered__field(v3) = v6 &
% 235.50/47.66 c_Groups_Otimes__class_Otimes(v3, v0, v2) = v9 &
% 235.50/47.66 c_Groups_Ozero__class_Ozero(v3) = v7 & c_Orderings_Oord__class_Oless(v3,
% 235.50/47.66 v7, v2) = v8 & c_Orderings_Oord__class_Oless(v3, v1, v9) = v10 & $i(v9)
% 235.50/47.66 & $i(v7) & ( ~ (v8 = 0) | ~ (v6 = 0) | (( ~ (v10 = 0) | v5 = 0) & ( ~ (v5
% 235.50/47.66 = 0) | v10 = 0)))))
% 235.50/47.66
% 235.50/47.66 (fact_pos__le__divide__eq)
% 235.50/47.67 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.50/47.67 any] : ( ~ (c_Orderings_Oord__class_Oless__eq(v3, v1, v4) = v5) | ~
% 235.50/47.67 (c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v4) | ~ $i(v3) | ~ $i(v2) |
% 235.50/47.67 ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: $i] : ? [v8: any] : ? [v9:
% 235.50/47.67 $i] : ? [v10: any] : (class_Fields_Olinordered__field(v3) = v6 &
% 235.50/47.67 c_Groups_Otimes__class_Otimes(v3, v1, v2) = v9 &
% 235.50/47.67 c_Orderings_Oord__class_Oless__eq(v3, v9, v0) = v10 &
% 235.50/47.67 c_Groups_Ozero__class_Ozero(v3) = v7 & c_Orderings_Oord__class_Oless(v3,
% 235.50/47.67 v7, v2) = v8 & $i(v9) & $i(v7) & ( ~ (v8 = 0) | ~ (v6 = 0) | (( ~ (v10
% 235.50/47.67 = 0) | v5 = 0) & ( ~ (v5 = 0) | v10 = 0)))))
% 235.50/47.67
% 235.50/47.67 (fact_pos__less__divide__eq)
% 235.50/47.67 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.50/47.67 any] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v4) | ~
% 235.50/47.67 (c_Orderings_Oord__class_Oless(v3, v1, v4) = v5) | ~ $i(v3) | ~ $i(v2) |
% 235.50/47.67 ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: $i] : ? [v8: any] : ? [v9:
% 235.50/47.67 $i] : ? [v10: any] : (class_Fields_Olinordered__field(v3) = v6 &
% 235.50/47.67 c_Groups_Otimes__class_Otimes(v3, v1, v2) = v9 &
% 235.50/47.67 c_Groups_Ozero__class_Ozero(v3) = v7 & c_Orderings_Oord__class_Oless(v3,
% 235.50/47.67 v9, v0) = v10 & c_Orderings_Oord__class_Oless(v3, v7, v2) = v8 & $i(v9)
% 235.50/47.67 & $i(v7) & ( ~ (v8 = 0) | ~ (v6 = 0) | (( ~ (v10 = 0) | v5 = 0) & ( ~ (v5
% 235.50/47.67 = 0) | v10 = 0)))))
% 235.50/47.67
% 235.50/47.67 (fact_pos__zmult__eq__1__iff)
% 235.50/47.67 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 235.50/47.67 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 &
% 235.50/47.67 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0) & ! [v2:
% 235.50/47.67 $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 235.50/47.67 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v3, v2) = v4) | ~ $i(v3) | ~
% 235.50/47.67 $i(v2) | ? [v5: int] : ( ~ (v5 = 0) &
% 235.50/47.67 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) = v5) | (( ~ (v4 =
% 235.50/47.67 v1) | (v3 = v1 & v2 = v1)) & ( ~ (v3 = v1) | ~ (v2 = v1) | v4 =
% 235.50/47.67 v1))))
% 235.50/47.67
% 235.50/47.67 (fact_q__neg__lemma)
% 235.50/47.67 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 235.50/47.67 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.50/47.67 $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v3, v2) = v4) | ~
% 235.50/47.67 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, v1) = v5) | ~ $i(v3) | ~
% 235.50/47.67 $i(v2) | ~ $i(v1) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9:
% 235.50/47.67 any] : (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0) = v9 &
% 235.50/47.67 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) = v7 &
% 235.50/47.67 c_Orderings_Oord__class_Oless(tc_Int_Oint, v5, v0) = v6 &
% 235.50/47.67 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) = v8 & ( ~ (v8 = 0) |
% 235.50/47.67 ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0))))
% 235.50/47.67
% 235.50/47.67 (fact_q__pos__lemma)
% 235.50/47.67 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 235.50/47.67 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.50/47.67 $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v3, v2) = v4) | ~
% 235.50/47.67 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, v1) = v5) | ~ $i(v3) | ~
% 235.50/47.67 $i(v2) | ~ $i(v1) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9:
% 235.50/47.67 any] : (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v5) = v6 &
% 235.50/47.67 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) = v9 &
% 235.50/47.67 c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v3) = v7 &
% 235.50/47.67 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) = v8 & ( ~ (v8 = 0) |
% 235.50/47.67 ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0))))
% 235.50/47.67
% 235.50/47.67 (fact_rabs__ratiotest__lemma)
% 235.50/47.67 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.67 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.67 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v2 =
% 235.50/47.67 v0 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v5) = v6) |
% 235.50/47.67 ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v6) = 0) | ~
% 235.50/47.67 (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v4) | ~
% 235.50/47.67 (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v5) | ~ $i(v3) | ~
% 235.50/47.67 $i(v2) | ~ $i(v1) | ? [v7: int] : ( ~ (v7 = 0) &
% 235.50/47.67 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) = v7)))
% 235.50/47.67
% 235.50/47.67 (fact_real__0__le__add__iff)
% 235.50/47.67 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.67 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.67 ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~
% 235.50/47.67 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v1) = v4) | ~
% 235.50/47.67 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3) | ~ $i(v2) |
% 235.50/47.67 ~ $i(v1) | ? [v5: $i] : ? [v6: int] : ( ~ (v6 = 0) &
% 235.50/47.67 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v5) = v6 &
% 235.50/47.67 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v5 & $i(v5))) &
% 235.50/47.67 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.50/47.67 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v1) = 0) | ~
% 235.50/47.67 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3) | ~ $i(v2) |
% 235.50/47.67 ~ $i(v1) | ? [v4: $i] :
% 235.50/47.67 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v4) = 0 &
% 235.50/47.67 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v4 & $i(v4))))
% 235.50/47.67
% 235.50/47.67 (fact_real__0__le__divide__iff)
% 235.50/47.67 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.67 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.67 ! [v2: $i] : ! [v3: any] : ! [v4: any] : ( ~
% 235.50/47.67 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) = v4) | ~
% 235.50/47.67 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) = v3) | ~
% 235.50/47.67 $i(v2) | ~ $i(v1) | ? [v5: $i] : ? [v6: any] : ? [v7: any] : ? [v8:
% 235.50/47.67 any] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) = v7
% 235.50/47.67 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) = v8 &
% 235.50/47.67 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v5) = v6 &
% 235.50/47.67 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1) = v5 & $i(v5)
% 235.50/47.67 & ( ~ (v6 = 0) | ((v8 = 0 | v4 = 0) & (v7 = 0 | v3 = 0))))) & ! [v1:
% 235.50/47.67 $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] : ( ~
% 235.50/47.67 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) = v4) | ~
% 235.50/47.67 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) = v3) | ~
% 235.50/47.67 $i(v2) | ~ $i(v1) | ? [v5: any] : ? [v6: any] : ? [v7: $i] : ? [v8:
% 235.50/47.67 any] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) = v5
% 235.50/47.67 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) = v6 &
% 235.50/47.67 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v7) = v8 &
% 235.50/47.67 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1) = v7 & $i(v7)
% 235.50/47.67 & (v8 = 0 | ( ~ (v6 = 0) & ~ (v4 = 0)) | ( ~ (v5 = 0) & ~ (v3 =
% 235.50/47.67 0))))))
% 235.50/47.67
% 235.50/47.67 (fact_real__0__less__add__iff)
% 235.50/47.67 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.67 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.67 ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~
% 235.50/47.67 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3) | ~
% 235.50/47.67 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v1) = v4) | ~ $i(v2)
% 235.50/47.67 | ~ $i(v1) | ? [v5: $i] : ? [v6: int] : ( ~ (v6 = 0) &
% 235.50/47.67 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v5 &
% 235.50/47.67 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5) = v6 & $i(v5)))
% 235.50/47.67 & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.50/47.67 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3) | ~
% 235.50/47.67 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v1) = 0) | ~ $i(v2)
% 235.50/47.67 | ~ $i(v1) | ? [v4: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 235.50/47.67 v2, v1) = v4 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4)
% 235.50/47.67 = 0 & $i(v4))))
% 235.50/47.67
% 235.50/47.67 (fact_real__abs__def)
% 235.50/47.67 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.67 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.67 ! [v2: int] : (v2 = 0 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 235.50/47.67 v1, v0) = v2) | ~ $i(v1) |
% 235.50/47.67 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v1) & ! [v1: $i] : ( ~
% 235.50/47.67 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) = 0) | ~ $i(v1)
% 235.50/47.67 | ? [v2: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) =
% 235.50/47.67 v2 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v2 & $i(v2))))
% 235.50/47.67
% 235.50/47.67 (fact_real__add__eq__0__iff)
% 235.50/47.67 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.67 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.67 ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 235.50/47.67 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2) |
% 235.50/47.67 ~ $i(v1) | ? [v4: $i] : ( ~ (v4 = v1) &
% 235.50/47.67 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v4 & $i(v4))) &
% 235.50/47.67 ! [v1: $i] : ! [v2: $i] : ( ~
% 235.50/47.67 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v0) | ~ $i(v2) |
% 235.50/47.67 ~ $i(v1) | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v1))
% 235.50/47.67
% 235.50/47.67 (fact_real__add__le__0__iff)
% 235.50/47.67 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.67 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.67 ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~
% 235.50/47.67 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v3) = v4) | ~
% 235.50/47.67 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3) | ~ $i(v2) |
% 235.50/47.67 ~ $i(v1) | ? [v5: $i] : ? [v6: int] : ( ~ (v6 = 0) &
% 235.50/47.67 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v0) = v6 &
% 235.50/47.67 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v5 & $i(v5))) &
% 235.50/47.67 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.50/47.67 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v3) = 0) | ~
% 235.50/47.67 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3) | ~ $i(v2) |
% 235.50/47.67 ~ $i(v1) | ? [v4: $i] :
% 235.50/47.67 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v0) = 0 &
% 235.50/47.67 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v4 & $i(v4))))
% 235.50/47.67
% 235.50/47.67 (fact_real__add__less__0__iff)
% 235.50/47.67 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.67 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.67 ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~
% 235.50/47.67 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3) | ~
% 235.50/47.67 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v3) = v4) | ~ $i(v2)
% 235.50/47.67 | ~ $i(v1) | ? [v5: $i] : ? [v6: int] : ( ~ (v6 = 0) &
% 235.50/47.67 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v5 &
% 235.50/47.67 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v0) = v6 & $i(v5)))
% 235.50/47.67 & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.50/47.67 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3) | ~
% 235.50/47.67 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v3) = 0) | ~ $i(v2)
% 235.50/47.67 | ~ $i(v1) | ? [v4: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 235.50/47.67 v2, v1) = v4 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v0)
% 235.50/47.67 = 0 & $i(v4))))
% 235.50/47.67
% 235.50/47.67 (fact_real__add__minus__iff)
% 235.50/47.68 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.68 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.68 ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 235.50/47.68 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2) | ~
% 235.50/47.68 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v2) = v3) | ~ $i(v1))
% 235.50/47.68 & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v2 = v1 | ~
% 235.50/47.68 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3) | ~
% 235.50/47.68 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) = v0) | ~ $i(v2) |
% 235.50/47.68 ~ $i(v1)))
% 235.50/47.68
% 235.50/47.68 (fact_real__average__minus__first)
% 235.50/47.68 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 235.50/47.68 $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 235.50/47.68 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) &
% 235.50/47.68 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 235.50/47.68 [v7: $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v6, v4) =
% 235.50/47.68 v7) | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v2) =
% 235.50/47.68 v6) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5) |
% 235.50/47.68 ~ $i(v4) | ~ $i(v3) | ? [v8: $i] :
% 235.50/47.68 (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v4) = v8 &
% 235.50/47.68 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v8, v2) = v7 & $i(v8)
% 235.50/47.68 & $i(v7))))
% 235.50/47.68
% 235.50/47.68 (fact_real__average__minus__second)
% 235.50/47.68 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 235.50/47.68 $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 235.50/47.68 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) &
% 235.50/47.68 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 235.50/47.68 [v7: $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v6, v3) =
% 235.50/47.68 v7) | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v2) =
% 235.50/47.68 v6) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5) |
% 235.50/47.68 ~ $i(v4) | ~ $i(v3) | ? [v8: $i] :
% 235.50/47.68 (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v4, v3) = v8 &
% 235.50/47.68 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v8, v2) = v7 & $i(v8)
% 235.50/47.68 & $i(v7))))
% 235.50/47.68
% 235.50/47.68 (fact_real__gt__half__sum)
% 235.50/47.68 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 235.50/47.68 $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 235.50/47.68 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) &
% 235.50/47.68 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 235.50/47.68 [v7: int] : (v7 = 0 | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 235.50/47.68 v5, v2) = v6) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4,
% 235.50/47.68 v3) = v5) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6,
% 235.50/47.68 v3) = v7) | ~ $i(v4) | ~ $i(v3) | ? [v8: int] : ( ~ (v8 = 0) &
% 235.50/47.68 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v3) = v8)))
% 235.50/47.68
% 235.50/47.68 (fact_real__le__eq__diff)
% 235.50/47.68 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.68 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.68 ! [v2: $i] : ! [v3: $i] : ( ~
% 235.50/47.68 (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2)
% 235.50/47.68 | ~ $i(v1) | ? [v4: any] : ? [v5: any] :
% 235.50/47.68 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) = v5 &
% 235.50/47.68 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1) = v4 & ( ~
% 235.50/47.68 (v4 = 0) | v5 = 0))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.50/47.68 (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2)
% 235.50/47.68 | ~ $i(v1) | ? [v4: any] : ? [v5: any] :
% 235.50/47.68 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) = v4 &
% 235.50/47.68 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1) = v5 & ( ~
% 235.50/47.68 (v4 = 0) | v5 = 0))))
% 235.50/47.68
% 235.50/47.68 (fact_real__less__half__sum)
% 235.50/47.68 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 235.50/47.68 $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 235.50/47.68 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) &
% 235.50/47.68 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 235.50/47.68 [v7: int] : (v7 = 0 | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 235.50/47.68 v5, v2) = v6) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4,
% 235.50/47.68 v3) = v5) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4,
% 235.50/47.68 v6) = v7) | ~ $i(v4) | ~ $i(v3) | ? [v8: int] : ( ~ (v8 = 0) &
% 235.50/47.68 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v3) = v8)))
% 235.50/47.68
% 235.50/47.68 (fact_real__mult__1)
% 235.50/47.68 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.68 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 235.50/47.68 [v2: $i] : (v2 = v1 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,
% 235.50/47.68 v0, v1) = v2) | ~ $i(v1)))
% 235.50/47.68
% 235.50/47.68 (fact_real__mult__inverse__cancel)
% 235.50/47.68 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.68 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.68 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 235.50/47.68 $i] : ! [v8: $i] : ! [v9: int] : (v9 = 0 | ~
% 235.50/47.68 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v7, v1) = v8) | ~
% 235.50/47.68 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v5, v2) = v6) | ~
% 235.50/47.68 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v4) = v5) | ~
% 235.50/47.68 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v3) = v7) | ~
% 235.50/47.68 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v8) = v9) | ~ $i(v4)
% 235.50/47.68 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v10: any] : ? [v11: any] : ?
% 235.50/47.68 [v12: $i] : ? [v13: $i] : ? [v14: any] :
% 235.50/47.68 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v4, v1) = v13 &
% 235.50/47.68 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v2) = v12 &
% 235.50/47.68 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v13) = v14 &
% 235.50/47.68 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) = v10 &
% 235.50/47.68 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = v11 & $i(v13)
% 235.50/47.68 & $i(v12) & ( ~ (v14 = 0) | ~ (v11 = 0) | ~ (v10 = 0)))))
% 235.50/47.68
% 235.50/47.68 (fact_real__mult__inverse__cancel2)
% 235.50/47.68 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.68 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.68 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 235.50/47.68 $i] : ! [v8: $i] : ! [v9: int] : (v9 = 0 | ~
% 235.50/47.68 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v5) = v6) | ~
% 235.50/47.68 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v7) = v8) | ~
% 235.50/47.68 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v4) = v5) | ~
% 235.50/47.68 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v3) = v7) | ~
% 235.50/47.68 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v8) = v9) | ~ $i(v4)
% 235.50/47.68 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v10: any] : ? [v11: any] : ?
% 235.50/47.68 [v12: $i] : ? [v13: $i] : ? [v14: any] :
% 235.50/47.68 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v4, v1) = v13 &
% 235.50/47.68 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v2) = v12 &
% 235.50/47.68 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v13) = v14 &
% 235.50/47.68 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) = v10 &
% 235.50/47.68 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = v11 & $i(v13)
% 235.50/47.68 & $i(v12) & ( ~ (v14 = 0) | ~ (v11 = 0) | ~ (v10 = 0)))))
% 235.50/47.68
% 235.50/47.68 (fact_real__mult__inverse__left)
% 235.50/47.68 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 235.50/47.68 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 235.50/47.68 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 235.50/47.68 [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | v2 = v0 | ~
% 235.50/47.68 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v2) = v4) | ~
% 235.50/47.68 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v2) = v3) | ~
% 235.50/47.68 $i(v2)))
% 235.50/47.68
% 235.50/47.68 (fact_real__mult__le__cancel__iff1)
% 235.50/47.68 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.68 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.68 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: any] : ( ~
% 235.50/47.68 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v3) = v4) | ~
% 235.50/47.68 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v3) = v5) | ~
% 235.50/47.68 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5) = v6) | ~
% 235.50/47.68 $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v7: any] : ? [v8: any] :
% 235.50/47.68 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1) = v8 &
% 235.50/47.68 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = v7 & ( ~ (v7 =
% 235.50/47.68 0) | (( ~ (v8 = 0) | v6 = 0) & ( ~ (v6 = 0) | v8 = 0))))))
% 235.50/47.68
% 235.50/47.68 (fact_real__mult__le__cancel__iff2)
% 235.50/47.68 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.68 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.68 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: any] : ( ~
% 235.50/47.68 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v2) = v4) | ~
% 235.50/47.68 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v1) = v5) | ~
% 235.50/47.68 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5) = v6) | ~
% 235.50/47.68 $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v7: any] : ? [v8: any] :
% 235.50/47.68 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1) = v8 &
% 235.50/47.68 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = v7 & ( ~ (v7 =
% 235.50/47.68 0) | (( ~ (v8 = 0) | v6 = 0) & ( ~ (v6 = 0) | v8 = 0))))))
% 235.50/47.68
% 235.50/47.68 (fact_real__mult__left__cancel)
% 235.50/47.68 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.68 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.68 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v3 = v0 | ~
% 235.50/47.68 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v2) = v4) | ~
% 235.50/47.68 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v1) = v5) | ~ $i(v3)
% 235.50/47.68 | ~ $i(v2) | ~ $i(v1) | (( ~ (v5 = v4) | v2 = v1) & ( ~ (v2 = v1) | v5 =
% 235.50/47.68 v4))))
% 235.50/47.68
% 235.50/47.68 (fact_real__mult__less__iff1)
% 235.50/47.68 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.68 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.68 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: any] : ( ~
% 235.50/47.68 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v3) = v4) | ~
% 235.50/47.68 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v3) = v5) | ~
% 235.50/47.68 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v5) = v6) | ~ $i(v3)
% 235.50/47.68 | ~ $i(v2) | ~ $i(v1) | ? [v7: any] : ? [v8: any] :
% 235.50/47.68 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v1) = v8 &
% 235.50/47.68 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = v7 & ( ~ (v7 =
% 235.50/47.68 0) | (( ~ (v8 = 0) | v6 = 0) & ( ~ (v6 = 0) | v8 = 0))))))
% 235.50/47.68
% 235.50/47.68 (fact_real__mult__less__mono2)
% 235.50/47.68 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.68 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.68 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: int] : (v6 =
% 235.50/47.68 0 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v2) = v4) | ~
% 235.50/47.68 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v1) = v5) | ~
% 235.50/47.68 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v5) = v6) | ~ $i(v3)
% 235.50/47.68 | ~ $i(v2) | ~ $i(v1) | ? [v7: any] : ? [v8: any] :
% 235.50/47.68 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v1) = v8 &
% 235.50/47.68 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = v7 & ( ~ (v8 =
% 235.50/47.68 0) | ~ (v7 = 0)))))
% 235.50/47.68
% 235.50/47.68 (fact_real__mult__order)
% 235.50/47.69 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.69 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.69 ! [v2: $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) =
% 235.50/47.69 0) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) = 0) |
% 235.50/47.69 ~ $i(v2) | ~ $i(v1) | ? [v3: $i] :
% 235.50/47.69 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v1) = v3 &
% 235.50/47.69 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = 0 & $i(v3))))
% 235.50/47.69
% 235.50/47.69 (fact_real__mult__right__cancel)
% 235.50/47.69 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.69 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.69 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v3 = v0 | ~
% 235.50/47.69 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v3) = v4) | ~
% 235.50/47.69 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v3) = v5) | ~ $i(v3)
% 235.50/47.69 | ~ $i(v2) | ~ $i(v1) | (( ~ (v5 = v4) | v2 = v1) & ( ~ (v2 = v1) | v5 =
% 235.50/47.69 v4))))
% 235.50/47.69
% 235.50/47.69 (fact_real__norm__def)
% 235.50/47.69 $i(tc_RealDef_Oreal) & ! [v0: $i] : ! [v1: $i] : ( ~
% 235.50/47.69 (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v1) | ~ $i(v0) |
% 235.50/47.69 (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, v0) = v1 & $i(v1)))
% 235.50/47.69
% 235.50/47.69 (fact_real__of__nat__1)
% 235.50/47.69 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 235.50/47.69 (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 235.50/47.69 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 235.50/47.69 c_RealDef_Oreal(tc_Nat_Onat, v0) = v1 & $i(v1) & $i(v0))
% 235.50/47.69
% 235.50/47.69 (fact_real__of__nat__Suc)
% 235.50/47.69 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.69 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 235.50/47.69 [v2: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~ $i(v1) | ? [v3:
% 235.50/47.69 $i] : ? [v4: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2,
% 235.50/47.69 v0) = v4 & c_Nat_OSuc(v1) = v3 & c_RealDef_Oreal(tc_Nat_Onat, v3) = v4
% 235.50/47.69 & $i(v4) & $i(v3))))
% 235.50/47.69
% 235.50/47.69 (fact_real__of__nat__Suc__gt__zero)
% 235.50/47.69 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.69 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.69 ! [v2: $i] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ $i(v1) | ? [v3: $i] :
% 235.50/47.69 (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3 &
% 235.50/47.69 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = 0 & $i(v3))))
% 235.50/47.69
% 235.50/47.69 (fact_real__of__nat__ge__zero)
% 235.50/47.69 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.69 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.69 ! [v2: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~ $i(v1) |
% 235.50/47.69 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) = 0))
% 235.50/47.69
% 235.50/47.69 (fact_real__of__nat__gt__zero__cancel__iff)
% 235.50/47.69 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 235.50/47.69 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 235.50/47.69 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 235.50/47.69 [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 235.50/47.69 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) = v3) | ~ $i(v2) | ?
% 235.50/47.69 [v4: $i] : ? [v5: int] : ( ~ (v5 = 0) & c_RealDef_Oreal(tc_Nat_Onat, v2)
% 235.50/47.69 = v4 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) = v5 &
% 235.50/47.70 $i(v4))) & ! [v2: $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 235.50/47.70 v1, v2) = 0) | ~ $i(v2) | ? [v3: $i] : (c_RealDef_Oreal(tc_Nat_Onat,
% 235.50/47.70 v2) = v3 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = 0
% 235.50/47.70 & $i(v3))))
% 235.50/47.70
% 235.50/47.70 (fact_real__of__nat__le__zero__cancel__iff)
% 235.50/47.70 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 235.50/47.70 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 235.50/47.70 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 235.50/47.70 [v2: $i] : ! [v3: $i] : (v2 = v1 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v2) =
% 235.50/47.70 v3) | ~ $i(v2) | ? [v4: int] : ( ~ (v4 = 0) &
% 235.50/47.70 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) = v4)) & !
% 235.50/47.70 [v2: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) |
% 235.50/47.70 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) = 0))
% 235.50/47.70
% 235.50/47.70 (fact_real__of__nat__one)
% 235.50/47.70 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 235.50/47.70 $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v2 &
% 235.50/47.70 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & c_Nat_OSuc(v0) = v1 &
% 235.50/47.70 c_RealDef_Oreal(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) & $i(v0))
% 235.50/47.70
% 235.50/47.70 (fact_real__of__nat__zero)
% 235.50/47.70 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 235.50/47.70 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 235.50/47.70 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 235.50/47.70 c_RealDef_Oreal(tc_Nat_Onat, v0) = v1 & $i(v1) & $i(v0))
% 235.50/47.70
% 235.50/47.70 (fact_real__of__nat__zero__iff)
% 235.50/47.70 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 235.50/47.70 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 235.50/47.70 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 235.50/47.70 [v2: $i] : (v2 = v1 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v2) = v0) | ~
% 235.50/47.70 $i(v2)) & ! [v2: $i] : (v2 = v0 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) =
% 235.50/47.70 v2)))
% 235.50/47.70
% 235.50/47.70 (fact_real__sum__of__halves)
% 235.50/47.71 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 235.50/47.71 $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 235.50/47.71 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) &
% 235.50/47.71 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v3 | ~
% 235.50/47.71 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v3, v2) = v4) | ~
% 235.50/47.71 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v4) = v5) | ~ $i(v3)))
% 235.50/47.71
% 235.50/47.71 (fact_real__two__squares__add__zero__iff)
% 235.50/47.71 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.71 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.71 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 235.50/47.71 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v2) = v3) | ~
% 235.50/47.71 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v1) = v4) | ~
% 235.50/47.71 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v4) = v0) | ~ $i(v2) |
% 235.50/47.71 ~ $i(v1) | (v2 = v0 & v1 = v0)) & ! [v1: $i] : ! [v2: $i] : (v2 = v0 |
% 235.50/47.71 ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0, v0) = v1) | ~
% 235.50/47.71 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v1) = v2)))
% 235.50/47.71
% 235.50/47.71 (fact_real__zero__not__eq__one)
% 235.50/47.71 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 235.50/47.71 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 235.50/47.71 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0))
% 235.50/47.71
% 235.50/47.71 (fact_rel__simps_I2_J)
% 235.50/47.71 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: int] : ( ~ (v0 = 0) &
% 235.50/47.71 c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OPls) = v0)
% 235.50/47.71
% 235.50/47.71 (fact_right__inverse__eq)
% 235.50/47.71 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.50/47.71 (c_Rings_Oinverse__class_Odivide(v2, v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) |
% 235.50/47.71 ~ $i(v0) | ? [v4: any] : ? [v5: $i] : ? [v6: $i] :
% 235.50/47.71 (class_Rings_Odivision__ring(v2) = v4 & c_Groups_Oone__class_Oone(v2) = v6 &
% 235.50/47.71 c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v6) & $i(v5) & ( ~ (v4 = 0) | v5
% 235.50/47.71 = v1 | (( ~ (v6 = v3) | v1 = v0) & ( ~ (v1 = v0) | v6 = v3)))))
% 235.50/47.71
% 235.50/47.71 (fact_right__minus__eq)
% 235.50/47.71 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.50/47.71 (c_Groups_Ominus__class_Ominus(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 235.50/47.71 ~ $i(v0) | ? [v4: any] : ? [v5: $i] : (class_Groups_Ogroup__add(v2) = v4 &
% 235.50/47.71 c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v5) & ( ~ (v4 = 0) | (( ~ (v5 =
% 235.50/47.71 v3) | v1 = v0) & ( ~ (v1 = v0) | v5 = v3)))))
% 235.50/47.71
% 235.50/47.71 (fact_rp)
% 235.50/47.71 $i(v_r) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.71 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v_r) = 0 &
% 235.50/47.71 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0))
% 235.50/47.71
% 235.50/47.71 (fact_s1)
% 235.50/47.71 $i(v_r) & $i(v_s____) & $i(v_p) & $i(tc_Complex_Ocomplex) &
% 235.50/47.71 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.71 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v0 & $i(v0) & !
% 235.50/47.71 [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 235.50/47.71 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) = v2) | ~ $i(v1)
% 235.50/47.71 | ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 235.50/47.71 (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v3) = v4) | ~
% 235.50/47.71 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5) | ~
% 235.50/47.71 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v1) = 0) | ~
% 235.50/47.71 $i(v3) | ? [v6: $i] : ? [v7: int] : ( ~ (v7 = 0) &
% 235.50/47.71 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v_r) = v7 &
% 235.50/47.71 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v6 &
% 235.50/47.71 $i(v6)))) & ! [v1: $i] : ( ~
% 235.50/47.71 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) = 0) | ~ $i(v1)
% 235.50/47.71 | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 235.50/47.71 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v_r) = 0 &
% 235.50/47.71 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v2) = v4 &
% 235.50/47.71 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 &
% 235.50/47.71 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 &
% 235.50/47.71 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v1) = 0 & $i(v5) &
% 235.50/47.71 $i(v4) & $i(v3) & $i(v2))))
% 235.50/47.71
% 235.50/47.71 (fact_s1m)
% 235.50/47.71 $i(v_r) & $i(v_s____) & $i(v_p) & $i(tc_Complex_Ocomplex) &
% 235.50/47.71 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.71 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v0 & $i(v0) & !
% 235.50/47.71 [v1: $i] : ! [v2: $i] : ( ~ (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p,
% 235.50/47.71 v1) = v2) | ~ $i(v1) | ? [v3: $i] : ? [v4: any] : ? [v5: $i] : ?
% 235.50/47.71 [v6: any] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v_r)
% 235.50/47.71 = v4 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v5) = v6
% 235.50/47.71 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v5 &
% 235.50/47.71 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v3 & $i(v5) &
% 235.50/47.71 $i(v3) & ( ~ (v4 = 0) | v6 = 0))))
% 235.50/47.71
% 235.50/47.71 (fact_self__quotient__aux1)
% 235.50/47.71 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 235.50/47.71 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 &
% 235.50/47.71 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0) & ! [v2:
% 235.50/47.71 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: int] : (v5 = 0 | ~
% 235.50/47.71 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v2) = v5) | ~
% 235.50/47.71 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v4) = 0) | ~ $i(v4) | ~
% 235.50/47.71 $i(v3) | ~ $i(v2) | ? [v6: any] : ? [v7: $i] : ? [v8: $i] :
% 235.50/47.71 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v4, v2) = v7 &
% 235.50/47.71 c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v7) = v8 &
% 235.50/47.71 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v4) = v6 & $i(v8) &
% 235.50/47.71 $i(v7) & ( ~ (v8 = v4) | ~ (v6 = 0)))))
% 235.50/47.71
% 235.50/47.71 (fact_self__quotient__aux2)
% 235.50/47.71 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 235.50/47.71 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 &
% 235.50/47.71 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0) & ! [v2:
% 235.50/47.71 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: int] : (v5 = 0 | ~
% 235.50/47.71 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1) = v5) | ~
% 235.50/47.71 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3) = 0) | ~
% 235.50/47.71 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v4) = 0) | ~ $i(v4) | ~
% 235.50/47.71 $i(v3) | ~ $i(v2) | ? [v6: $i] : ? [v7: $i] : ( ~ (v7 = v4) &
% 235.50/47.71 c_Groups_Otimes__class_Otimes(tc_Int_Oint, v4, v2) = v6 &
% 235.50/47.71 c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v6) = v7 & $i(v7) &
% 235.50/47.71 $i(v6))))
% 235.50/47.71
% 235.50/47.71 (fact_semiring__norm_I110_J)
% 235.50/47.71 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & !
% 235.50/47.71 [v1: $i] : ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2)
% 235.50/47.71 | ~ $i(v1) | ? [v3: any] : ? [v4: $i] : (class_Int_Onumber__ring(v1) =
% 235.50/47.71 v3 & c_Groups_Oone__class_Oone(v1) = v4 & $i(v4) & ( ~ (v3 = 0) | v4 =
% 235.50/47.71 v2))))
% 235.50/47.71
% 235.50/47.71 (fact_semiring__norm_I113_J)
% 235.50/47.71 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] :
% 235.50/47.71 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 235.50/47.71 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = v0 & $i(v0))
% 235.50/47.71
% 235.50/47.71 (fact_semiring__norm_I115_J)
% 235.50/47.71 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 235.50/47.71 ? [v3: $i] : ? [v4: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 235.50/47.71 c_Int_OBit1(c_Int_OPls) = v3 & c_Int_OBit0(v3) = v4 &
% 235.50/47.71 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v4) = v2 & c_Nat_OSuc(v1) = v2
% 235.50/47.71 & c_Nat_OSuc(v0) = v1 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 235.50/47.71
% 235.50/47.71 (fact_th)
% 235.50/47.71 $i(v_r) & $i(tc_Nat_Onat) & $i(v_s____) & $i(v_p) & $i(tc_Complex_Ocomplex) &
% 235.50/47.71 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 235.50/47.71 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 235.50/47.71 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v0 & $i(v1) &
% 235.50/47.71 $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~ (c_Nat_OSuc(v2) = v3) | ~ $i(v2) |
% 235.50/47.71 ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 235.50/47.71 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v4) = v5 &
% 235.50/47.71 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v5) = v6 &
% 235.50/47.71 c_RealDef_Oreal(tc_Nat_Onat, v3) = v4 & $i(v6) & $i(v5) & $i(v4) & ?
% 235.50/47.71 [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] :
% 235.50/47.71 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v8, v_r) = 0 &
% 235.50/47.71 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v7) = v9 &
% 235.50/47.71 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v9) = v10 &
% 235.50/47.71 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v7) = v8 &
% 235.50/47.71 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v6) = 0 & $i(v10)
% 235.50/47.71 & $i(v9) & $i(v8) & $i(v7)))))
% 235.50/47.71
% 235.50/47.71 (fact_th0)
% 235.50/47.71 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 235.50/47.71 $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 235.50/47.71 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) &
% 235.50/47.71 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 235.50/47.71 [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 235.50/47.71 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v5) = v9) | ~
% 235.50/47.71 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9, v10) = 0) | ~
% 235.50/47.71 (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v4, v3) = v7) | ~
% 235.50/47.71 (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v7) = v8) | ~
% 235.50/47.71 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v8, v6) = v10) | ~ $i(v6)
% 235.50/47.71 | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ? [v11: any] : ? [v12: any] :
% 235.50/47.71 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v5) = v12 &
% 235.50/47.71 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v5) = v11 & ( ~ (v12
% 235.50/47.71 = 0) | ~ (v11 = 0)))))
% 235.50/47.71
% 235.50/47.71 (fact_th00)
% 235.50/47.71 $i(v_f____) & $i(v_N2____) & $i(v_N1____) & $i(tc_Nat_Onat) & $i(v_s____) &
% 235.50/47.71 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 235.50/47.71 ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9:
% 235.50/47.71 $i] : ? [v10: $i] : ? [v11: $i] :
% 235.50/47.71 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7, v11) = 0 &
% 235.50/47.71 hAPP(v_f____, v2) = v3 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 235.50/47.71 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v0 &
% 235.50/47.71 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v9) = v10 &
% 235.50/47.71 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v5) = v6 &
% 235.50/47.71 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v2 &
% 235.50/47.71 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v10) = v11 &
% 235.50/47.71 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v6) = v7 & c_Nat_OSuc(v3)
% 235.50/47.71 = v4 & c_Nat_OSuc(v2) = v8 & c_RealDef_Oreal(tc_Nat_Onat, v8) = v9 &
% 235.50/47.71 c_RealDef_Oreal(tc_Nat_Onat, v4) = v5 & $i(v11) & $i(v10) & $i(v9) & $i(v8)
% 235.50/47.71 & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 235.50/47.71
% 235.50/47.71 (fact_th000_I1_J)
% 235.50/47.72 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 235.50/47.72 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) = 0 &
% 235.50/47.72 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 235.50/47.72 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0))
% 235.50/47.72
% 235.50/47.72 (fact_th000_I2_J)
% 235.50/47.72 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.72 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v0) = 0 &
% 235.50/47.72 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0))
% 235.50/47.72
% 235.50/47.72 (fact_th000_I3_J)
% 235.50/47.72 $i(v_N2____) & $i(v_N1____) & $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0:
% 235.50/47.72 $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 235.50/47.72 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.72 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v1 &
% 235.50/47.72 c_Nat_OSuc(v1) = v2 & c_RealDef_Oreal(tc_Nat_Onat, v2) = v3 &
% 235.50/47.72 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = 0 & $i(v3) &
% 235.50/47.72 $i(v2) & $i(v1) & $i(v0))
% 235.50/47.72
% 235.50/47.72 (fact_th1)
% 235.50/47.72 $i(v_d____) & $i(v_s____) & $i(v_z____) & $i(v_p) & $i(tc_Complex_Ocomplex) &
% 235.50/47.72 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 235.50/47.72 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 235.50/47.72 ? [v8: $i] : (c_Int_OBit1(c_Int_OPls) = v5 & c_Int_OBit0(v5) = v6 &
% 235.50/47.72 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v6) = v7 &
% 235.50/47.72 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = v0 &
% 235.50/47.72 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v1 &
% 235.50/47.72 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v2 &
% 235.50/47.72 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v1, v2) = v3 &
% 235.50/47.72 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v3) = v4 &
% 235.50/47.72 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v4, v7) = v8 & $i(v8) &
% 235.50/47.72 $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & !
% 235.50/47.72 [v9: $i] : ! [v10: $i] : ( ~ (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p,
% 235.50/47.72 v9) = v10) | ~ $i(v9) | ? [v11: $i] : ? [v12: $i] : ? [v13: any] :
% 235.50/47.72 ? [v14: $i] : ? [v15: $i] : ? [v16: any] :
% 235.50/47.72 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v14) = v15 &
% 235.50/47.72 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v11) = v12 &
% 235.50/47.72 c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v10, v0) = v14 &
% 235.50/47.72 c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v9, v_z____) = v11 &
% 235.50/47.72 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v15, v8) = v16 &
% 235.50/47.72 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v_d____) = v13 &
% 235.50/47.72 $i(v15) & $i(v14) & $i(v12) & $i(v11) & ( ~ (v13 = 0) | v16 = 0))))
% 235.50/47.72
% 235.50/47.72 (fact_th2)
% 235.50/47.72 $i(v_f____) & $i(v_N2____) & $i(v_N1____) & $i(tc_Nat_Onat) & $i(v_s____) &
% 235.50/47.72 $i(v_z____) & $i(v_p) & $i(tc_Complex_Ocomplex) & $i(c_Int_OPls) &
% 235.50/47.72 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 235.50/47.72 ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9:
% 235.50/47.72 $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 235.50/47.72 $i] : (hAPP(v_f____, v0) = v1 & v_g____(v1) = v2 & c_Int_OBit1(c_Int_OPls) =
% 235.50/47.72 v11 & c_Int_OBit0(v11) = v12 &
% 235.50/47.72 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v12) = v13 &
% 235.50/47.72 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v2) = v3 &
% 235.50/47.72 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = v4 &
% 235.50/47.72 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6 &
% 235.50/47.72 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v7 &
% 235.50/47.72 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v8 &
% 235.50/47.72 c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v3, v4) = v5 &
% 235.50/47.72 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v7, v8) = v9 &
% 235.50/47.72 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v9) = v10 &
% 235.50/47.72 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v10, v13) = v14 &
% 235.50/47.72 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v0 &
% 235.50/47.72 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v14) = 0 & $i(v14) &
% 235.50/47.72 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 235.50/47.72 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 235.50/47.72
% 235.50/47.72 (fact_th31)
% 235.50/47.72 $i(v_f____) & $i(v_N2____) & $i(v_N1____) & $i(tc_Nat_Onat) & $i(v_s____) &
% 235.50/47.72 $i(v_p) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 235.50/47.72 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 235.50/47.72 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v5) = 0 &
% 235.50/47.72 hAPP(v_f____, v1) = v2 & v_g____(v2) = v3 &
% 235.50/47.72 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v3) = v4 &
% 235.50/47.72 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 &
% 235.50/47.72 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v0 &
% 235.50/47.72 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v1 & $i(v5) &
% 235.50/47.72 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 235.50/47.72
% 235.50/47.72 (fact_th32)
% 235.50/47.72 $i(v_f____) & $i(v_N2____) & $i(v_N1____) & $i(tc_Nat_Onat) & $i(v_s____) &
% 235.50/47.72 $i(v_p) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 235.50/47.72 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i]
% 235.50/47.72 : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : (hAPP(v_f____, v0)
% 235.50/47.72 = v1 & v_g____(v1) = v2 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v6 &
% 235.50/47.72 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v2) = v3 &
% 235.50/47.72 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 235.50/47.72 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v5 &
% 235.50/47.72 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v8) = v9 &
% 235.50/47.72 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v0 &
% 235.50/47.72 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v9) = v10 & c_Nat_OSuc(v0)
% 235.50/47.72 = v7 & c_RealDef_Oreal(tc_Nat_Onat, v7) = v8 &
% 235.50/47.72 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v10) = 0 & $i(v10) &
% 235.50/47.72 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 235.50/47.72 $i(v1) & $i(v0))
% 235.50/47.72
% 235.50/47.72 (fact_unique__quotient__lemma)
% 235.50/47.72 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 235.50/47.72 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.50/47.72 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 235.50/47.72 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v5, v4) = v6) | ~
% 235.50/47.72 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v5, v2) = v8) | ~
% 235.50/47.72 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v7, v9) = 0) | ~
% 235.50/47.72 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v8, v1) = v9) | ~
% 235.50/47.72 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v6, v3) = v7) | ~ $i(v5) | ~
% 235.50/47.72 $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v10: any] : ? [v11: any]
% 235.50/47.72 : ? [v12: any] : ? [v13: any] :
% 235.50/47.72 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v4, v2) = v13 &
% 235.50/47.72 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3) = v10 &
% 235.50/47.72 c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v5) = v11 &
% 235.50/47.72 c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v5) = v12 & ( ~ (v12 = 0)
% 235.50/47.72 | ~ (v11 = 0) | ~ (v10 = 0) | v13 = 0))))
% 235.50/47.72
% 235.50/47.72 (fact_unique__quotient__lemma__neg)
% 235.50/47.72 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 235.50/47.72 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.50/47.72 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 235.50/47.72 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v5, v4) = v6) | ~
% 235.50/47.72 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v5, v2) = v8) | ~
% 235.50/47.72 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v7, v9) = 0) | ~
% 235.50/47.72 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v8, v1) = v9) | ~
% 235.50/47.72 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v6, v3) = v7) | ~ $i(v5) | ~
% 235.50/47.72 $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v10: any] : ? [v11: any]
% 235.50/47.72 : ? [v12: any] : ? [v13: any] :
% 235.50/47.72 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v4) = v13 &
% 235.50/47.72 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) = v10 &
% 235.50/47.72 c_Orderings_Oord__class_Oless(tc_Int_Oint, v5, v3) = v12 &
% 235.50/47.72 c_Orderings_Oord__class_Oless(tc_Int_Oint, v5, v1) = v11 & ( ~ (v12 = 0)
% 235.50/47.72 | ~ (v11 = 0) | ~ (v10 = 0) | v13 = 0))))
% 235.50/47.72
% 235.50/47.72 (fact_wr)
% 235.50/47.72 $i(v_w____) & $i(v_r) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ?
% 235.50/47.72 [v0: $i] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v_r) = 0 &
% 235.50/47.72 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v0 & $i(v0))
% 235.50/47.72
% 235.50/47.72 (fact_zabs__def)
% 235.50/47.72 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 235.50/47.72 & $i(v0) & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 235.50/47.72 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = v2) | ~ $i(v1) |
% 235.50/47.72 c_Groups_Oabs__class_Oabs(tc_Int_Oint, v1) = v1) & ! [v1: $i] : ( ~
% 235.50/47.72 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = 0) | ~ $i(v1) | ?
% 235.50/47.72 [v2: $i] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2 &
% 235.50/47.72 c_Groups_Oabs__class_Oabs(tc_Int_Oint, v1) = v2 & $i(v2))))
% 235.50/47.72
% 235.50/47.72 (fact_zabs__less__one__iff)
% 235.50/47.72 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 235.50/47.72 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 &
% 235.50/47.72 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v1 & $i(v1) & $i(v0) & ! [v2:
% 235.50/47.72 $i] : ! [v3: $i] : (v2 = v1 | ~ (c_Groups_Oabs__class_Oabs(tc_Int_Oint,
% 235.50/47.72 v2) = v3) | ~ $i(v2) | ? [v4: int] : ( ~ (v4 = 0) &
% 235.50/47.72 c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0) = v4)) & ! [v2: $i]
% 235.50/47.72 : ( ~ (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v1) = v2) |
% 235.50/47.72 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) = 0))
% 235.50/47.72
% 235.50/47.72 (fact_zadd__0)
% 235.50/47.72 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 235.50/47.72 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 235.50/47.72 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v2) | ~ $i(v1)))
% 235.50/47.72
% 235.50/47.72 (fact_zadd__0__right)
% 235.50/47.72 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 235.50/47.72 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 235.50/47.72 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ $i(v1)))
% 235.50/47.72
% 235.50/47.72 (fact_zadd__zminus__inverse2)
% 235.50/47.72 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 235.50/47.72 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 235.50/47.72 (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2) | ~
% 235.50/47.72 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v3) | ~ $i(v1)))
% 235.50/47.72
% 235.50/47.72 (fact_zdiv__mono2__lemma)
% 235.50/47.72 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 235.50/47.72 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.50/47.72 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 235.50/47.72 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v6, v5) = v7) | ~
% 235.50/47.72 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v3, v2) = v9) | ~
% 235.50/47.72 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v9, v1) = v8) | ~
% 235.50/47.72 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v4) = v8) | ~ $i(v6) | ~
% 235.50/47.72 $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v10: any] :
% 235.50/47.72 ? [v11: any] : ? [v12: any] : ? [v13: any] : ? [v14: any] : ? [v15:
% 235.50/47.72 any] : (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v5, v2) = v15 &
% 235.50/47.72 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v6) = v14 &
% 235.50/47.72 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v8) = v10 &
% 235.50/47.72 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v4) = v12 &
% 235.50/47.72 c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v3) = v11 &
% 235.50/47.72 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) = v13 & ( ~ (v14 = 0)
% 235.50/47.72 | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | v15 =
% 235.50/47.72 0))))
% 235.50/47.72
% 235.50/47.72 (fact_zdiv__mono2__neg__lemma)
% 235.50/47.72 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 235.50/47.72 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.50/47.72 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 235.50/47.72 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v6, v5) = v7) | ~
% 235.50/47.72 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v3, v2) = v9) | ~
% 235.50/47.72 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v9, v1) = v8) | ~
% 235.50/47.72 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v4) = v8) | ~ $i(v6) | ~
% 235.50/47.72 $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v10: any] :
% 235.50/47.72 ? [v11: any] : ? [v12: any] : ? [v13: any] : ? [v14: any] : ? [v15:
% 235.50/47.72 any] : (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v6) = v14 &
% 235.50/47.72 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v5) = v15 &
% 235.50/47.72 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) = v12 &
% 235.50/47.72 c_Orderings_Oord__class_Oless(tc_Int_Oint, v8, v0) = v10 &
% 235.50/47.72 c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v6) = v11 &
% 235.50/47.72 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) = v13 & ( ~ (v14 = 0)
% 235.50/47.72 | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | v15 =
% 235.50/47.72 0))))
% 235.50/47.72
% 235.50/47.72 (fact_zero__is__num__zero)
% 235.50/47.72 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] :
% 235.50/47.72 (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 &
% 235.50/47.72 c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) = v0 & $i(v0))
% 235.50/47.72
% 235.50/47.72 (fact_zero__less__Suc)
% 235.50/47.72 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.50/47.72 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ $i(v1)
% 235.50/47.72 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) = 0))
% 235.50/47.72
% 235.50/47.72 (fact_zero__less__diff)
% 235.50/47.72 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 235.50/47.72 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.50/47.72 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3) | ~ $i(v2) | ~
% 235.50/47.72 $i(v1) | ? [v4: any] : ? [v5: any] :
% 235.50/47.72 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) = v5 &
% 235.50/47.72 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) = v4 & ( ~ (v4 = 0) |
% 235.50/47.72 v5 = 0))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.50/47.72 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3) | ~ $i(v2) | ~
% 235.50/47.72 $i(v1) | ? [v4: any] : ? [v5: any] :
% 235.50/47.72 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) = v4 &
% 235.50/47.72 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) = v5 & ( ~ (v4 = 0) |
% 235.50/47.72 v5 = 0))))
% 235.50/47.72
% 235.50/47.72 (fact_zero__less__divide__iff)
% 235.50/47.72 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.50/47.72 any] : ( ~ (c_Groups_Ozero__class_Ozero(v2) = v3) | ~
% 235.50/47.72 (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v4) | ~
% 235.50/47.72 (c_Orderings_Oord__class_Oless(v2, v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) |
% 235.50/47.72 ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: any] : ?
% 235.50/47.72 [v10: any] : (class_Fields_Olinordered__field__inverse__zero(v2) = v6 &
% 235.50/47.72 c_Orderings_Oord__class_Oless(v2, v3, v1) = v7 &
% 235.50/47.72 c_Orderings_Oord__class_Oless(v2, v3, v0) = v8 &
% 235.50/47.72 c_Orderings_Oord__class_Oless(v2, v1, v3) = v9 &
% 235.50/47.72 c_Orderings_Oord__class_Oless(v2, v0, v3) = v10 & ( ~ (v6 = 0) | (( ~ (v5
% 235.50/47.72 = 0) | (v10 = 0 & v9 = 0) | (v8 = 0 & v7 = 0)) & (v5 = 0 | (( ~
% 235.50/47.72 (v10 = 0) | ~ (v9 = 0)) & ( ~ (v8 = 0) | ~ (v7 = 0))))))))
% 235.50/47.72
% 235.50/47.72 (fact_zero__less__norm__iff)
% 235.50/47.72 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 235.50/47.72 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.72 ! [v2: $i] : ! [v3: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) =
% 235.50/47.72 v3) | ~ $i(v2) | ~ $i(v1) | ? [v4: any] : ? [v5: any] : ? [v6: $i]
% 235.50/47.72 : (class_RealVector_Oreal__normed__vector(v2) = v4 &
% 235.50/47.72 c_Groups_Ozero__class_Ozero(v2) = v6 &
% 235.50/47.72 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = v5 & $i(v6) &
% 235.50/47.72 ( ~ (v4 = 0) | (( ~ (v6 = v1) | ~ (v5 = 0)) & (v6 = v1 | v5 = 0))))))
% 235.50/47.72
% 235.50/47.72 (fact_zero__neq__one)
% 235.50/47.72 ! [v0: $i] : ( ~ (class_Rings_Ozero__neq__one(v0) = 0) | ~ $i(v0) | ? [v1:
% 235.50/47.72 $i] : ? [v2: $i] : ( ~ (v2 = v1) & c_Groups_Oone__class_Oone(v0) = v2 &
% 235.50/47.72 c_Groups_Ozero__class_Ozero(v0) = v1 & $i(v2) & $i(v1)))
% 235.50/47.72
% 235.50/47.72 (fact_zle__add1__eq__le)
% 235.50/47.73 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 &
% 235.50/47.73 $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 |
% 235.50/47.73 ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~
% 235.50/47.73 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3) = v4) | ~ $i(v2) | ~
% 235.50/47.73 $i(v1) | ? [v5: int] : ( ~ (v5 = 0) &
% 235.50/47.73 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1) = v5)) & ! [v1:
% 235.50/47.73 $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.50/47.73 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~
% 235.50/47.73 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3) = 0) | ~ $i(v2) | ~
% 235.50/47.73 $i(v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1) = 0))
% 235.50/47.73
% 235.50/47.73 (fact_zle__diff1__eq)
% 235.50/47.73 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 &
% 235.50/47.73 $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 |
% 235.50/47.73 ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3) = v4) | ~
% 235.50/47.73 (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v1, v0) = v3) | ~ $i(v2) | ~
% 235.50/47.73 $i(v1) | ? [v5: int] : ( ~ (v5 = 0) &
% 235.50/47.73 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v5)) & ! [v1: $i]
% 235.50/47.73 : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.50/47.73 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3) = 0) | ~
% 235.50/47.73 (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v1, v0) = v3) | ~ $i(v2) | ~
% 235.50/47.73 $i(v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = 0))
% 235.50/47.73
% 235.50/47.73 (fact_zless__add1__eq)
% 235.50/47.73 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 &
% 235.50/47.73 $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 |
% 235.50/47.73 ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~
% 235.50/47.73 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3) = v4) | ~ $i(v2) | ~
% 235.50/47.73 $i(v1) | ( ~ (v2 = v1) & ? [v5: int] : ( ~ (v5 = 0) &
% 235.50/47.73 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v5))) & ! [v1:
% 235.50/47.73 $i] : ! [v2: $i] : ! [v3: $i] : (v2 = v1 | ~
% 235.50/47.73 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~
% 235.50/47.73 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3) = 0) | ~ $i(v2) | ~
% 235.50/47.73 $i(v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = 0))
% 235.50/47.73
% 235.50/47.73 (fact_zless__imp__add1__zle)
% 235.50/47.73 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 &
% 235.50/47.73 $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 |
% 235.50/47.73 ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v1) = v4) | ~
% 235.50/47.73 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v0) = v3) | ~ $i(v2) | ~
% 235.50/47.73 $i(v1) | ? [v5: int] : ( ~ (v5 = 0) &
% 235.50/47.73 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v5)))
% 235.50/47.73
% 235.50/47.73 (fact_zminus__0)
% 235.50/47.73 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 235.50/47.73 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v0 & $i(v0))
% 235.50/47.73
% 235.50/47.73 (fact_zmult__1)
% 235.50/47.73 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 &
% 235.50/47.73 $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 235.50/47.73 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v0, v1) = v2) | ~ $i(v1)))
% 235.50/47.73
% 235.50/47.73 (fact_zmult__1__right)
% 235.50/47.73 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 &
% 235.50/47.73 $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 235.50/47.73 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1, v0) = v2) | ~ $i(v1)))
% 235.50/47.73
% 235.50/47.73 (fact_zmult__zless__mono2)
% 235.50/47.73 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 235.50/47.73 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.50/47.73 $i] : ! [v6: int] : (v6 = 0 | ~
% 235.50/47.73 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1, v3) = v4) | ~
% 235.50/47.73 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1, v2) = v5) | ~
% 235.50/47.73 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v5) = v6) | ~ $i(v3) | ~
% 235.50/47.73 $i(v2) | ~ $i(v1) | ? [v7: any] : ? [v8: any] :
% 235.50/47.73 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v2) = v7 &
% 235.50/47.73 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) = v8 & ( ~ (v8 = 0) |
% 235.50/47.73 ~ (v7 = 0)))))
% 235.50/47.73
% 235.50/47.73 (function-axioms)
% 235.50/47.73 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0
% 235.50/47.73 | ~ (c_Groups_Otimes__class_Otimes(v4, v3, v2) = v1) | ~
% 235.50/47.73 (c_Groups_Otimes__class_Otimes(v4, v3, v2) = v0)) & ! [v0:
% 235.50/47.73 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 235.50/47.73 : ! [v4: $i] : (v1 = v0 | ~ (c_Orderings_Oord__class_Oless__eq(v4, v3, v2) =
% 235.50/47.73 v1) | ~ (c_Orderings_Oord__class_Oless__eq(v4, v3, v2) = v0)) & ! [v0:
% 235.50/47.73 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 235.50/47.73 (c_Polynomial_Opoly(v4, v3, v2) = v1) | ~ (c_Polynomial_Opoly(v4, v3, v2) =
% 235.50/47.73 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i]
% 235.50/47.73 : (v1 = v0 | ~ (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v1) | ~
% 235.50/47.73 (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1:
% 235.50/47.73 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 235.50/47.73 (c_Rings_Oinverse__class_Odivide(v4, v3, v2) = v1) | ~
% 235.50/47.73 (c_Rings_Oinverse__class_Odivide(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1:
% 235.50/47.73 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 235.50/47.73 (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v1) | ~
% 235.50/47.73 (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool]
% 235.50/47.73 : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 =
% 235.50/47.73 v0 | ~ (c_Orderings_Oord__class_Oless(v4, v3, v2) = v1) | ~
% 235.50/47.73 (c_Orderings_Oord__class_Oless(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1:
% 235.50/47.73 $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP(v3, v2) = v1) | ~
% 235.50/47.73 (hAPP(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 235.50/47.73 : (v1 = v0 | ~ (c_Rings_Oinverse__class_Oinverse(v3, v2) = v1) | ~
% 235.50/47.73 (c_Rings_Oinverse__class_Oinverse(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 235.50/47.73 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 235.50/47.73 (c_Int_Onumber__class_Onumber__of(v3, v2) = v1) | ~
% 235.50/47.73 (c_Int_Onumber__class_Onumber__of(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 235.50/47.73 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 235.50/47.73 (c_RealVector_Onorm__class_Onorm(v3, v2) = v1) | ~
% 235.50/47.74 (c_RealVector_Onorm__class_Onorm(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 235.50/47.74 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 235.50/47.74 (c_Groups_Ouminus__class_Ouminus(v3, v2) = v1) | ~
% 235.50/47.74 (c_Groups_Ouminus__class_Ouminus(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 235.50/47.74 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (c_Groups_Oabs__class_Oabs(v3, v2)
% 235.50/47.74 = v1) | ~ (c_Groups_Oabs__class_Oabs(v3, v2) = v0)) & ! [v0: $i] : !
% 235.50/47.74 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (c_RealDef_Oreal(v3, v2)
% 235.50/47.74 = v1) | ~ (c_RealDef_Oreal(v3, v2) = v0)) & ! [v0: MultipleValueBool] :
% 235.50/47.74 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 235.50/47.74 (class_Rings_Ocomm__semiring__1(v2) = v1) | ~
% 235.50/47.74 (class_Rings_Ocomm__semiring__1(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 235.50/47.74 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 235.50/47.74 (class_Groups_Oabs__if(v2) = v1) | ~ (class_Groups_Oabs__if(v2) = v0)) & !
% 235.50/47.74 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 235.50/47.74 | ~ (class_Groups_Oordered__comm__monoid__add(v2) = v1) | ~
% 235.50/47.74 (class_Groups_Oordered__comm__monoid__add(v2) = v0)) & ! [v0:
% 235.50/47.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 235.50/47.74 ~ (class_Groups_Omonoid__mult(v2) = v1) | ~ (class_Groups_Omonoid__mult(v2)
% 235.50/47.74 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 235.50/47.74 $i] : (v1 = v0 | ~ (class_Groups_Ocomm__monoid__mult(v2) = v1) | ~
% 235.50/47.74 (class_Groups_Ocomm__monoid__mult(v2) = v0)) & ! [v0: MultipleValueBool] :
% 235.50/47.74 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 235.50/47.74 (class_Groups_Oordered__ab__group__add(v2) = v1) | ~
% 235.50/47.74 (class_Groups_Oordered__ab__group__add(v2) = v0)) & ! [v0:
% 235.50/47.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 235.50/47.74 ~ (class_Groups_Oordered__cancel__ab__semigroup__add(v2) = v1) | ~
% 235.50/47.74 (class_Groups_Oordered__cancel__ab__semigroup__add(v2) = v0)) & ! [v0:
% 235.50/47.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 235.50/47.74 ~ (class_Groups_Oordered__ab__semigroup__add(v2) = v1) | ~
% 235.50/47.74 (class_Groups_Oordered__ab__semigroup__add(v2) = v0)) & ! [v0:
% 235.50/47.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 235.50/47.74 ~ (class_Groups_Oordered__ab__semigroup__add__imp__le(v2) = v1) | ~
% 235.50/47.74 (class_Groups_Oordered__ab__semigroup__add__imp__le(v2) = v0)) & ! [v0:
% 235.50/47.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 235.50/47.74 ~ (class_Groups_Omonoid__add(v2) = v1) | ~ (class_Groups_Omonoid__add(v2) =
% 235.50/47.74 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 235.50/47.74 $i] : (v1 = v0 | ~ (class_Groups_Ocomm__monoid__add(v2) = v1) | ~
% 235.50/47.74 (class_Groups_Ocomm__monoid__add(v2) = v0)) & ! [v0: MultipleValueBool] :
% 235.50/47.74 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (class_Groups_Oone(v2)
% 235.50/47.74 = v1) | ~ (class_Groups_Oone(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 235.50/47.74 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 235.50/47.74 (class_Groups_Oab__semigroup__add(v2) = v1) | ~
% 235.50/47.74 (class_Groups_Oab__semigroup__add(v2) = v0)) & ! [v0: MultipleValueBool] :
% 235.50/47.74 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 235.50/47.74 (class_Groups_Ocancel__ab__semigroup__add(v2) = v1) | ~
% 235.50/47.74 (class_Groups_Ocancel__ab__semigroup__add(v2) = v0)) & ! [v0:
% 235.50/47.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 235.50/47.74 ~ (class_Groups_Ocancel__semigroup__add(v2) = v1) | ~
% 235.50/47.74 (class_Groups_Ocancel__semigroup__add(v2) = v0)) & ! [v0:
% 235.50/47.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 235.50/47.74 ~ (class_Groups_Oab__semigroup__mult(v2) = v1) | ~
% 235.50/47.74 (class_Groups_Oab__semigroup__mult(v2) = v0)) & ! [v0: MultipleValueBool] :
% 235.50/47.74 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 235.50/47.74 (class_Groups_Ozero(v2) = v1) | ~ (class_Groups_Ozero(v2) = v0)) & ! [v0:
% 235.50/47.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 235.50/47.74 ~ (class_Groups_Oordered__ab__group__add__abs(v2) = v1) | ~
% 235.50/47.74 (class_Groups_Oordered__ab__group__add__abs(v2) = v0)) & ! [v0:
% 235.50/47.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 235.50/47.74 ~ (class_Fields_Olinordered__field(v2) = v1) | ~
% 235.50/47.74 (class_Fields_Olinordered__field(v2) = v0)) & ! [v0: MultipleValueBool] :
% 235.50/47.74 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 235.50/47.74 (class_Rings_Olinordered__semiring__1(v2) = v1) | ~
% 235.50/47.74 (class_Rings_Olinordered__semiring__1(v2) = v0)) & ! [v0:
% 235.50/47.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 235.50/47.74 ~ (class_Rings_Oordered__ring__abs(v2) = v1) | ~
% 235.50/47.74 (class_Rings_Oordered__ring__abs(v2) = v0)) & ! [v0: MultipleValueBool] :
% 235.50/47.74 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 235.50/47.74 (class_Rings_Olinordered__semiring(v2) = v1) | ~
% 235.50/47.74 (class_Rings_Olinordered__semiring(v2) = v0)) & ! [v0: MultipleValueBool] :
% 235.50/47.74 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 235.50/47.74 (class_Rings_Oring__1__no__zero__divisors(v2) = v1) | ~
% 235.50/47.74 (class_Rings_Oring__1__no__zero__divisors(v2) = v0)) & ! [v0:
% 235.50/47.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 235.50/47.74 ~ (class_Rings_Olinordered__semidom(v2) = v1) | ~
% 235.50/47.74 (class_Rings_Olinordered__semidom(v2) = v0)) & ! [v0: MultipleValueBool] :
% 235.50/47.74 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 235.50/47.74 (class_Rings_Olinordered__comm__semiring__strict(v2) = v1) | ~
% 235.50/47.74 (class_Rings_Olinordered__comm__semiring__strict(v2) = v0)) & ! [v0:
% 235.50/47.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 235.50/47.74 ~ (class_Rings_Olinordered__semiring__strict(v2) = v1) | ~
% 235.50/47.74 (class_Rings_Olinordered__semiring__strict(v2) = v0)) & ! [v0:
% 235.50/47.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 235.50/47.74 ~ (class_Rings_Oordered__comm__semiring(v2) = v1) | ~
% 235.50/47.74 (class_Rings_Oordered__comm__semiring(v2) = v0)) & ! [v0:
% 235.50/47.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 235.50/47.74 ~ (class_Rings_Oordered__semiring(v2) = v1) | ~
% 235.50/47.74 (class_Rings_Oordered__semiring(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 235.50/47.74 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 235.50/47.74 (class_Rings_Oordered__ring(v2) = v1) | ~ (class_Rings_Oordered__ring(v2) =
% 235.50/47.74 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 235.50/47.74 $i] : (v1 = v0 | ~ (class_Rings_Oordered__cancel__semiring(v2) = v1) | ~
% 235.50/47.74 (class_Rings_Oordered__cancel__semiring(v2) = v0)) & ! [v0:
% 235.50/47.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 235.50/47.74 ~ (class_Rings_Oidom(v2) = v1) | ~ (class_Rings_Oidom(v2) = v0)) & ! [v0:
% 235.50/47.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 235.50/47.74 ~ (class_Rings_Ocomm__semiring(v2) = v1) | ~
% 235.50/47.74 (class_Rings_Ocomm__semiring(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 235.50/47.74 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 235.50/47.74 (class_Rings_Ozero__neq__one(v2) = v1) | ~ (class_Rings_Ozero__neq__one(v2)
% 235.50/47.74 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 235.50/47.74 $i] : (v1 = v0 | ~ (class_Rings_Omult__zero(v2) = v1) | ~
% 235.50/47.74 (class_Rings_Omult__zero(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 235.50/47.74 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 235.50/47.74 (class_Rings_Oring__no__zero__divisors(v2) = v1) | ~
% 235.50/47.74 (class_Rings_Oring__no__zero__divisors(v2) = v0)) & ! [v0:
% 235.50/47.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 235.50/47.74 ~ (class_Rings_Ono__zero__divisors(v2) = v1) | ~
% 235.50/47.74 (class_Rings_Ono__zero__divisors(v2) = v0)) & ! [v0: MultipleValueBool] :
% 235.50/47.74 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 235.50/47.74 (class_Rings_Olinordered__semiring__1__strict(v2) = v1) | ~
% 235.50/47.74 (class_Rings_Olinordered__semiring__1__strict(v2) = v0)) & ! [v0:
% 235.50/47.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 235.50/47.74 ~ (class_Rings_Olinordered__ring(v2) = v1) | ~
% 235.50/47.74 (class_Rings_Olinordered__ring(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 235.50/47.74 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 235.50/47.74 (class_Rings_Olinordered__ring__strict(v2) = v1) | ~
% 235.50/47.74 (class_Rings_Olinordered__ring__strict(v2) = v0)) & ! [v0:
% 235.50/47.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 235.50/47.74 ~ (hBOOL(v2) = v1) | ~ (hBOOL(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 235.50/47.74 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 235.50/47.74 (class_RealVector_Oreal__field(v2) = v1) | ~
% 235.50/47.74 (class_RealVector_Oreal__field(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 235.50/47.74 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 235.50/47.74 (class_Rings_Oring__1(v2) = v1) | ~ (class_Rings_Oring__1(v2) = v0)) & !
% 235.50/47.74 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 235.50/47.74 | ~ (class_Rings_Oring(v2) = v1) | ~ (class_Rings_Oring(v2) = v0)) & !
% 235.50/47.74 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 235.50/47.74 | ~ (class_Rings_Osemiring(v2) = v1) | ~ (class_Rings_Osemiring(v2) = v0))
% 235.50/47.74 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1
% 235.50/47.74 = v0 | ~ (class_RealVector_Oreal__normed__algebra(v2) = v1) | ~
% 235.50/47.74 (class_RealVector_Oreal__normed__algebra(v2) = v0)) & ! [v0:
% 235.50/47.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 235.50/47.74 ~ (class_Groups_Ogroup__add(v2) = v1) | ~ (class_Groups_Ogroup__add(v2) =
% 235.50/47.74 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 235.50/47.74 $i] : (v1 = v0 | ~ (class_Groups_Oab__group__add(v2) = v1) | ~
% 235.50/47.74 (class_Groups_Oab__group__add(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 235.50/47.74 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 235.50/47.74 (class_Orderings_Olinorder(v2) = v1) | ~ (class_Orderings_Olinorder(v2) =
% 235.50/47.74 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 235.50/47.74 $i] : (v1 = v0 | ~ (c_SEQ_Osubseq(v2) = v1) | ~ (c_SEQ_Osubseq(v2) = v0))
% 235.50/47.74 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1
% 235.50/47.74 = v0 | ~ (class_Fields_Olinordered__field__inverse__zero(v2) = v1) | ~
% 235.50/47.74 (class_Fields_Olinordered__field__inverse__zero(v2) = v0)) & ! [v0:
% 235.50/47.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 235.50/47.74 ~ (class_Int_Oring__char__0(v2) = v1) | ~ (class_Int_Oring__char__0(v2) =
% 235.50/47.74 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 235.50/47.74 $i] : (v1 = v0 | ~ (class_Fields_Ofield__inverse__zero(v2) = v1) | ~
% 235.50/47.74 (class_Fields_Ofield__inverse__zero(v2) = v0)) & ! [v0: MultipleValueBool]
% 235.50/47.74 : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 235.50/47.74 (class_Fields_Ofield(v2) = v1) | ~ (class_Fields_Ofield(v2) = v0)) & !
% 235.50/47.74 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 235.50/47.74 | ~ (class_Int_Onumber(v2) = v1) | ~ (class_Int_Onumber(v2) = v0)) & !
% 235.50/47.74 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 235.50/47.74 | ~ (class_Rings_Odivision__ring(v2) = v1) | ~
% 235.50/47.74 (class_Rings_Odivision__ring(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 235.50/47.74 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 235.50/47.74 (class_RealVector_Oreal__normed__field(v2) = v1) | ~
% 235.50/47.74 (class_RealVector_Oreal__normed__field(v2) = v0)) & ! [v0:
% 235.50/47.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 235.50/47.74 ~ (class_Groups_Olinordered__ab__group__add(v2) = v1) | ~
% 235.50/47.74 (class_Groups_Olinordered__ab__group__add(v2) = v0)) & ! [v0:
% 235.50/47.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 235.50/47.74 ~ (class_RealVector_Oreal__normed__div__algebra(v2) = v1) | ~
% 235.50/47.74 (class_RealVector_Oreal__normed__div__algebra(v2) = v0)) & ! [v0:
% 235.50/47.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 235.50/47.74 ~ (class_Rings_Odivision__ring__inverse__zero(v2) = v1) | ~
% 235.50/47.74 (class_Rings_Odivision__ring__inverse__zero(v2) = v0)) & ! [v0:
% 235.50/47.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 235.50/47.74 ~ (class_RealVector_Oreal__normed__vector(v2) = v1) | ~
% 235.50/47.74 (class_RealVector_Oreal__normed__vector(v2) = v0)) & ! [v0:
% 235.50/47.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 235.50/47.74 ~ (class_RealVector_Oreal__normed__algebra__1(v2) = v1) | ~
% 235.50/47.74 (class_RealVector_Oreal__normed__algebra__1(v2) = v0)) & ! [v0: $i] : !
% 235.50/47.74 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (v_g____(v2) = v1) | ~ (v_g____(v2) =
% 235.50/47.74 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 235.50/47.74 $i] : (v1 = v0 | ~ (class_Rings_Olinordered__idom(v2) = v1) | ~
% 235.50/47.74 (class_Rings_Olinordered__idom(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 235.50/47.74 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 235.50/47.74 (class_Int_Onumber__ring(v2) = v1) | ~ (class_Int_Onumber__ring(v2) = v0))
% 235.50/47.74 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 235.50/47.74 (c_Groups_Oone__class_Oone(v2) = v1) | ~ (c_Groups_Oone__class_Oone(v2) =
% 235.50/47.74 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 235.50/47.74 (c_Groups_Ozero__class_Ozero(v2) = v1) | ~ (c_Groups_Ozero__class_Ozero(v2)
% 235.50/47.74 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 235.50/47.74 (c_Int_OBit1(v2) = v1) | ~ (c_Int_OBit1(v2) = v0)) & ! [v0: $i] : ! [v1:
% 235.50/47.74 $i] : ! [v2: $i] : (v1 = v0 | ~ (c_Int_OBit0(v2) = v1) | ~
% 235.50/47.74 (c_Int_OBit0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0
% 235.50/47.74 | ~ (c_Nat_OSuc(v2) = v1) | ~ (c_Nat_OSuc(v2) = v0)) & ? [v0: $i] : ?
% 235.50/47.74 [v1: $i] : ? [v2: $i] : ? [v3: MultipleValueBool] :
% 235.50/47.74 (c_Orderings_Oord__class_Oless__eq(v2, v1, v0) = v3) & ? [v0: $i] : ? [v1:
% 235.50/47.74 $i] : ? [v2: $i] : ? [v3: MultipleValueBool] :
% 235.50/47.74 (c_Orderings_Oord__class_Oless(v2, v1, v0) = v3) & ? [v0: $i] : ? [v1: $i] :
% 235.50/47.74 ? [v2: $i] : ? [v3: $i] : (c_Groups_Otimes__class_Otimes(v2, v1, v0) = v3 &
% 235.50/47.74 $i(v3)) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 235.50/47.74 (c_Polynomial_Opoly(v2, v1, v0) = v3 & $i(v3)) & ? [v0: $i] : ? [v1: $i] :
% 235.50/47.74 ? [v2: $i] : ? [v3: $i] : (c_Groups_Ominus__class_Ominus(v2, v1, v0) = v3 &
% 235.50/47.74 $i(v3)) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 235.50/47.74 (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3 & $i(v3)) & ? [v0: $i] : ?
% 235.50/47.74 [v1: $i] : ? [v2: $i] : ? [v3: $i] : (c_Groups_Oplus__class_Oplus(v2, v1,
% 235.50/47.74 v0) = v3 & $i(v3)) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (hAPP(v1,
% 235.50/47.74 v0) = v2 & $i(v2)) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 235.50/47.74 (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2 & $i(v2)) & ? [v0: $i] : ?
% 235.50/47.74 [v1: $i] : ? [v2: $i] : (c_Int_Onumber__class_Onumber__of(v1, v0) = v2 &
% 235.50/47.74 $i(v2)) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 235.50/47.74 (c_RealVector_Onorm__class_Onorm(v1, v0) = v2 & $i(v2)) & ? [v0: $i] : ?
% 235.50/47.74 [v1: $i] : ? [v2: $i] : (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2 &
% 235.50/47.74 $i(v2)) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 235.50/47.74 (c_Groups_Oabs__class_Oabs(v1, v0) = v2 & $i(v2)) & ? [v0: $i] : ? [v1: $i]
% 235.50/47.74 : ? [v2: $i] : (c_RealDef_Oreal(v1, v0) = v2 & $i(v2)) & ? [v0: $i] : ?
% 235.50/47.74 [v1: MultipleValueBool] : (class_Rings_Ocomm__semiring__1(v0) = v1) & ? [v0:
% 235.50/47.74 $i] : ? [v1: MultipleValueBool] : (class_Groups_Oabs__if(v0) = v1) & ?
% 235.50/47.74 [v0: $i] : ? [v1: MultipleValueBool] :
% 235.50/47.74 (class_Groups_Oordered__comm__monoid__add(v0) = v1) & ? [v0: $i] : ? [v1:
% 235.50/47.74 MultipleValueBool] : (class_Groups_Omonoid__mult(v0) = v1) & ? [v0: $i] :
% 235.50/47.74 ? [v1: MultipleValueBool] : (class_Groups_Ocomm__monoid__mult(v0) = v1) & ?
% 235.50/47.74 [v0: $i] : ? [v1: MultipleValueBool] :
% 235.50/47.74 (class_Groups_Oordered__ab__group__add(v0) = v1) & ? [v0: $i] : ? [v1:
% 235.50/47.74 MultipleValueBool] : (class_Groups_Oordered__cancel__ab__semigroup__add(v0)
% 235.50/47.74 = v1) & ? [v0: $i] : ? [v1: MultipleValueBool] :
% 235.50/47.74 (class_Groups_Oordered__ab__semigroup__add(v0) = v1) & ? [v0: $i] : ? [v1:
% 235.50/47.74 MultipleValueBool] : (class_Groups_Oordered__ab__semigroup__add__imp__le(v0)
% 235.50/47.74 = v1) & ? [v0: $i] : ? [v1: MultipleValueBool] :
% 235.50/47.74 (class_Groups_Omonoid__add(v0) = v1) & ? [v0: $i] : ? [v1:
% 235.50/47.74 MultipleValueBool] : (class_Groups_Ocomm__monoid__add(v0) = v1) & ? [v0:
% 235.50/47.74 $i] : ? [v1: MultipleValueBool] : (class_Groups_Oone(v0) = v1) & ? [v0:
% 235.50/47.74 $i] : ? [v1: MultipleValueBool] : (class_Groups_Oab__semigroup__add(v0) =
% 235.50/47.74 v1) & ? [v0: $i] : ? [v1: MultipleValueBool] :
% 235.50/47.74 (class_Groups_Ocancel__ab__semigroup__add(v0) = v1) & ? [v0: $i] : ? [v1:
% 235.50/47.74 MultipleValueBool] : (class_Groups_Ocancel__semigroup__add(v0) = v1) & ?
% 235.50/47.74 [v0: $i] : ? [v1: MultipleValueBool] : (class_Groups_Oab__semigroup__mult(v0)
% 235.50/47.74 = v1) & ? [v0: $i] : ? [v1: MultipleValueBool] : (class_Groups_Ozero(v0) =
% 235.50/47.74 v1) & ? [v0: $i] : ? [v1: MultipleValueBool] :
% 235.50/47.74 (class_Groups_Oordered__ab__group__add__abs(v0) = v1) & ? [v0: $i] : ? [v1:
% 235.50/47.74 MultipleValueBool] : (class_Fields_Olinordered__field(v0) = v1) & ? [v0:
% 235.50/47.74 $i] : ? [v1: MultipleValueBool] : (class_Rings_Olinordered__semiring__1(v0)
% 235.50/47.74 = v1) & ? [v0: $i] : ? [v1: MultipleValueBool] :
% 235.50/47.74 (class_Rings_Oordered__ring__abs(v0) = v1) & ? [v0: $i] : ? [v1:
% 235.50/47.74 MultipleValueBool] : (class_Rings_Olinordered__semiring(v0) = v1) & ? [v0:
% 235.50/47.74 $i] : ? [v1: MultipleValueBool] :
% 235.50/47.74 (class_Rings_Oring__1__no__zero__divisors(v0) = v1) & ? [v0: $i] : ? [v1:
% 235.50/47.74 MultipleValueBool] : (class_Rings_Olinordered__semidom(v0) = v1) & ? [v0:
% 235.50/47.74 $i] : ? [v1: MultipleValueBool] :
% 235.50/47.74 (class_Rings_Olinordered__comm__semiring__strict(v0) = v1) & ? [v0: $i] : ?
% 235.50/47.74 [v1: MultipleValueBool] : (class_Rings_Olinordered__semiring__strict(v0) = v1)
% 235.50/47.74 & ? [v0: $i] : ? [v1: MultipleValueBool] :
% 235.50/47.74 (class_Rings_Oordered__comm__semiring(v0) = v1) & ? [v0: $i] : ? [v1:
% 235.50/47.74 MultipleValueBool] : (class_Rings_Oordered__semiring(v0) = v1) & ? [v0: $i]
% 235.50/47.74 : ? [v1: MultipleValueBool] : (class_Rings_Oordered__ring(v0) = v1) & ? [v0:
% 235.50/47.74 $i] : ? [v1: MultipleValueBool] :
% 235.50/47.74 (class_Rings_Oordered__cancel__semiring(v0) = v1) & ? [v0: $i] : ? [v1:
% 235.50/47.74 MultipleValueBool] : (class_Rings_Oidom(v0) = v1) & ? [v0: $i] : ? [v1:
% 235.50/47.74 MultipleValueBool] : (class_Rings_Ocomm__semiring(v0) = v1) & ? [v0: $i] :
% 235.50/47.74 ? [v1: MultipleValueBool] : (class_Rings_Ozero__neq__one(v0) = v1) & ? [v0:
% 235.50/47.74 $i] : ? [v1: MultipleValueBool] : (class_Rings_Omult__zero(v0) = v1) & ?
% 235.50/47.74 [v0: $i] : ? [v1: MultipleValueBool] :
% 235.50/47.74 (class_Rings_Oring__no__zero__divisors(v0) = v1) & ? [v0: $i] : ? [v1:
% 235.50/47.74 MultipleValueBool] : (class_Rings_Ono__zero__divisors(v0) = v1) & ? [v0:
% 235.50/47.74 $i] : ? [v1: MultipleValueBool] :
% 235.50/47.74 (class_Rings_Olinordered__semiring__1__strict(v0) = v1) & ? [v0: $i] : ?
% 235.50/47.74 [v1: MultipleValueBool] : (class_Rings_Olinordered__ring(v0) = v1) & ? [v0:
% 235.50/47.74 $i] : ? [v1: MultipleValueBool] :
% 235.50/47.74 (class_Rings_Olinordered__ring__strict(v0) = v1) & ? [v0: $i] : ? [v1:
% 235.50/47.74 MultipleValueBool] : (hBOOL(v0) = v1) & ? [v0: $i] : ? [v1:
% 235.50/47.74 MultipleValueBool] : (class_RealVector_Oreal__field(v0) = v1) & ? [v0: $i]
% 235.50/47.74 : ? [v1: MultipleValueBool] : (class_Rings_Oring__1(v0) = v1) & ? [v0: $i] :
% 235.50/47.74 ? [v1: MultipleValueBool] : (class_Rings_Oring(v0) = v1) & ? [v0: $i] : ?
% 235.50/47.74 [v1: MultipleValueBool] : (class_Rings_Osemiring(v0) = v1) & ? [v0: $i] : ?
% 235.50/47.74 [v1: MultipleValueBool] : (class_RealVector_Oreal__normed__algebra(v0) = v1) &
% 235.50/47.74 ? [v0: $i] : ? [v1: MultipleValueBool] : (class_Groups_Ogroup__add(v0) = v1)
% 235.50/47.74 & ? [v0: $i] : ? [v1: MultipleValueBool] : (class_Groups_Oab__group__add(v0)
% 235.50/47.74 = v1) & ? [v0: $i] : ? [v1: MultipleValueBool] :
% 235.50/47.74 (class_Orderings_Olinorder(v0) = v1) & ? [v0: $i] : ? [v1:
% 235.50/47.74 MultipleValueBool] : (c_SEQ_Osubseq(v0) = v1) & ? [v0: $i] : ? [v1:
% 235.50/47.74 MultipleValueBool] : (class_Fields_Olinordered__field__inverse__zero(v0) =
% 235.50/47.74 v1) & ? [v0: $i] : ? [v1: MultipleValueBool] :
% 235.50/47.74 (class_Int_Oring__char__0(v0) = v1) & ? [v0: $i] : ? [v1: MultipleValueBool]
% 235.50/47.74 : (class_Fields_Ofield__inverse__zero(v0) = v1) & ? [v0: $i] : ? [v1:
% 235.50/47.74 MultipleValueBool] : (class_Fields_Ofield(v0) = v1) & ? [v0: $i] : ? [v1:
% 235.50/47.74 MultipleValueBool] : (class_Int_Onumber(v0) = v1) & ? [v0: $i] : ? [v1:
% 235.50/47.74 MultipleValueBool] : (class_Rings_Odivision__ring(v0) = v1) & ? [v0: $i] :
% 235.50/47.74 ? [v1: MultipleValueBool] : (class_RealVector_Oreal__normed__field(v0) = v1) &
% 235.50/47.74 ? [v0: $i] : ? [v1: MultipleValueBool] :
% 235.50/47.74 (class_Groups_Olinordered__ab__group__add(v0) = v1) & ? [v0: $i] : ? [v1:
% 235.50/47.74 MultipleValueBool] : (class_RealVector_Oreal__normed__div__algebra(v0) = v1)
% 235.50/47.74 & ? [v0: $i] : ? [v1: MultipleValueBool] :
% 235.50/47.74 (class_Rings_Odivision__ring__inverse__zero(v0) = v1) & ? [v0: $i] : ? [v1:
% 235.50/47.74 MultipleValueBool] : (class_RealVector_Oreal__normed__vector(v0) = v1) & ?
% 235.50/47.74 [v0: $i] : ? [v1: MultipleValueBool] :
% 235.50/47.74 (class_RealVector_Oreal__normed__algebra__1(v0) = v1) & ? [v0: $i] : ? [v1:
% 235.50/47.74 MultipleValueBool] : (class_Rings_Olinordered__idom(v0) = v1) & ? [v0: $i]
% 235.50/47.74 : ? [v1: MultipleValueBool] : (class_Int_Onumber__ring(v0) = v1) & ? [v0:
% 235.50/47.74 $i] : ? [v1: $i] : (v_g____(v0) = v1 & $i(v1)) & ? [v0: $i] : ? [v1: $i]
% 235.50/47.74 : (c_Groups_Oone__class_Oone(v0) = v1 & $i(v1)) & ? [v0: $i] : ? [v1: $i] :
% 235.50/47.74 (c_Groups_Ozero__class_Ozero(v0) = v1 & $i(v1)) & ? [v0: $i] : ? [v1: $i] :
% 235.50/47.74 (c_Int_OBit1(v0) = v1 & $i(v1)) & ? [v0: $i] : ? [v1: $i] : (c_Int_OBit0(v0)
% 235.50/47.74 = v1 & $i(v1)) & ? [v0: $i] : ? [v1: $i] : (c_Nat_OSuc(v0) = v1 & $i(v1))
% 235.50/47.74
% 235.50/47.74 Further assumptions not needed in the proof:
% 235.50/47.74 --------------------------------------------
% 235.50/47.74 arity_Complex__Ocomplex__Fields_Ofield,
% 235.50/47.74 arity_Complex__Ocomplex__Fields_Ofield__inverse__zero,
% 235.50/47.74 arity_Complex__Ocomplex__Groups_Oab__group__add,
% 235.50/47.74 arity_Complex__Ocomplex__Groups_Oab__semigroup__add,
% 235.50/47.74 arity_Complex__Ocomplex__Groups_Oab__semigroup__mult,
% 235.50/47.74 arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add,
% 235.50/47.74 arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add,
% 235.50/47.74 arity_Complex__Ocomplex__Groups_Ocomm__monoid__add,
% 235.50/47.74 arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult,
% 235.50/47.74 arity_Complex__Ocomplex__Groups_Ogroup__add,
% 235.50/47.74 arity_Complex__Ocomplex__Groups_Omonoid__add,
% 235.50/47.74 arity_Complex__Ocomplex__Groups_Omonoid__mult,
% 235.50/47.74 arity_Complex__Ocomplex__Groups_Oone, arity_Complex__Ocomplex__Groups_Ozero,
% 235.50/47.74 arity_Complex__Ocomplex__Int_Onumber,
% 235.50/47.74 arity_Complex__Ocomplex__Int_Onumber__ring,
% 235.50/47.74 arity_Complex__Ocomplex__Int_Oring__char__0,
% 235.50/47.74 arity_Complex__Ocomplex__RealVector_Oreal__field,
% 235.50/47.74 arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,
% 235.50/47.74 arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,
% 235.50/47.74 arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,
% 235.50/47.74 arity_Complex__Ocomplex__RealVector_Oreal__normed__field,
% 235.50/47.74 arity_Complex__Ocomplex__Rings_Ocomm__semiring,
% 235.50/47.74 arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,
% 235.50/47.74 arity_Complex__Ocomplex__Rings_Odivision__ring,
% 235.50/47.74 arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero,
% 235.50/47.74 arity_Complex__Ocomplex__Rings_Oidom,
% 235.50/47.74 arity_Complex__Ocomplex__Rings_Omult__zero,
% 235.50/47.74 arity_Complex__Ocomplex__Rings_Ono__zero__divisors,
% 235.50/47.74 arity_Complex__Ocomplex__Rings_Oring, arity_Complex__Ocomplex__Rings_Oring__1,
% 235.50/47.74 arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors,
% 235.50/47.74 arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors,
% 235.50/47.74 arity_Complex__Ocomplex__Rings_Osemiring,
% 235.50/47.74 arity_Int__Oint__Groups_Oab__group__add,
% 235.50/47.74 arity_Int__Oint__Groups_Oab__semigroup__add,
% 235.50/47.74 arity_Int__Oint__Groups_Oab__semigroup__mult, arity_Int__Oint__Groups_Oabs__if,
% 235.50/47.74 arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,
% 235.50/47.74 arity_Int__Oint__Groups_Ocancel__semigroup__add,
% 235.50/47.74 arity_Int__Oint__Groups_Ocomm__monoid__add,
% 235.50/47.74 arity_Int__Oint__Groups_Ocomm__monoid__mult,
% 235.50/47.74 arity_Int__Oint__Groups_Ogroup__add,
% 235.50/47.74 arity_Int__Oint__Groups_Olinordered__ab__group__add,
% 235.50/47.74 arity_Int__Oint__Groups_Omonoid__add, arity_Int__Oint__Groups_Omonoid__mult,
% 235.50/47.74 arity_Int__Oint__Groups_Oone, arity_Int__Oint__Groups_Oordered__ab__group__add,
% 235.50/47.74 arity_Int__Oint__Groups_Oordered__ab__group__add__abs,
% 235.50/47.74 arity_Int__Oint__Groups_Oordered__ab__semigroup__add,
% 235.50/47.74 arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,
% 235.50/47.74 arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,
% 235.50/47.74 arity_Int__Oint__Groups_Oordered__comm__monoid__add,
% 235.50/47.74 arity_Int__Oint__Groups_Ozero, arity_Int__Oint__Int_Onumber,
% 235.50/47.74 arity_Int__Oint__Int_Onumber__ring, arity_Int__Oint__Int_Oring__char__0,
% 235.50/47.74 arity_Int__Oint__Orderings_Olinorder, arity_Int__Oint__Rings_Ocomm__semiring,
% 235.50/47.74 arity_Int__Oint__Rings_Ocomm__semiring__1, arity_Int__Oint__Rings_Oidom,
% 235.50/47.74 arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,
% 235.50/47.74 arity_Int__Oint__Rings_Olinordered__idom,
% 235.50/47.74 arity_Int__Oint__Rings_Olinordered__ring,
% 235.50/47.74 arity_Int__Oint__Rings_Olinordered__ring__strict,
% 235.50/47.74 arity_Int__Oint__Rings_Olinordered__semidom,
% 235.50/47.74 arity_Int__Oint__Rings_Olinordered__semiring,
% 235.50/47.74 arity_Int__Oint__Rings_Olinordered__semiring__1,
% 235.50/47.74 arity_Int__Oint__Rings_Olinordered__semiring__1__strict,
% 235.50/47.74 arity_Int__Oint__Rings_Olinordered__semiring__strict,
% 235.50/47.74 arity_Int__Oint__Rings_Omult__zero, arity_Int__Oint__Rings_Ono__zero__divisors,
% 235.50/47.74 arity_Int__Oint__Rings_Oordered__cancel__semiring,
% 235.50/47.74 arity_Int__Oint__Rings_Oordered__comm__semiring,
% 235.50/47.74 arity_Int__Oint__Rings_Oordered__ring,
% 235.50/47.74 arity_Int__Oint__Rings_Oordered__ring__abs,
% 235.50/47.74 arity_Int__Oint__Rings_Oordered__semiring, arity_Int__Oint__Rings_Oring,
% 235.50/47.74 arity_Int__Oint__Rings_Oring__1,
% 235.50/47.74 arity_Int__Oint__Rings_Oring__1__no__zero__divisors,
% 235.50/47.74 arity_Int__Oint__Rings_Oring__no__zero__divisors,
% 235.50/47.74 arity_Int__Oint__Rings_Osemiring, arity_Int__Oint__Rings_Ozero__neq__one,
% 235.50/47.74 arity_Nat__Onat__Groups_Oab__semigroup__add,
% 235.50/47.74 arity_Nat__Onat__Groups_Oab__semigroup__mult,
% 235.50/47.74 arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,
% 235.50/47.74 arity_Nat__Onat__Groups_Ocancel__semigroup__add,
% 235.50/47.74 arity_Nat__Onat__Groups_Ocomm__monoid__add,
% 235.50/47.74 arity_Nat__Onat__Groups_Ocomm__monoid__mult,
% 235.50/47.74 arity_Nat__Onat__Groups_Omonoid__add, arity_Nat__Onat__Groups_Omonoid__mult,
% 235.50/47.74 arity_Nat__Onat__Groups_Oone,
% 235.50/47.74 arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,
% 235.50/47.74 arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,
% 235.50/47.74 arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,
% 235.50/47.74 arity_Nat__Onat__Groups_Oordered__comm__monoid__add,
% 235.50/47.74 arity_Nat__Onat__Groups_Ozero, arity_Nat__Onat__Int_Onumber,
% 235.50/47.74 arity_Nat__Onat__Orderings_Olinorder, arity_Nat__Onat__Rings_Ocomm__semiring,
% 235.50/47.74 arity_Nat__Onat__Rings_Ocomm__semiring__1,
% 235.50/47.74 arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,
% 235.50/47.74 arity_Nat__Onat__Rings_Olinordered__semidom,
% 235.50/47.74 arity_Nat__Onat__Rings_Olinordered__semiring,
% 235.50/47.74 arity_Nat__Onat__Rings_Olinordered__semiring__strict,
% 235.50/47.74 arity_Nat__Onat__Rings_Omult__zero, arity_Nat__Onat__Rings_Ono__zero__divisors,
% 235.50/47.74 arity_Nat__Onat__Rings_Oordered__cancel__semiring,
% 235.50/47.74 arity_Nat__Onat__Rings_Oordered__comm__semiring,
% 235.50/47.74 arity_Nat__Onat__Rings_Oordered__semiring, arity_Nat__Onat__Rings_Osemiring,
% 235.50/47.74 arity_Nat__Onat__Rings_Ozero__neq__one,
% 235.50/47.74 arity_RealDef__Oreal__Fields_Olinordered__field,
% 235.50/47.74 arity_RealDef__Oreal__Groups_Oab__group__add,
% 235.50/47.74 arity_RealDef__Oreal__Groups_Oab__semigroup__add,
% 235.50/47.74 arity_RealDef__Oreal__Groups_Oab__semigroup__mult,
% 235.50/47.74 arity_RealDef__Oreal__Groups_Oabs__if,
% 235.50/47.74 arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add,
% 235.50/47.74 arity_RealDef__Oreal__Groups_Ocancel__semigroup__add,
% 235.50/47.74 arity_RealDef__Oreal__Groups_Ocomm__monoid__add,
% 235.50/47.74 arity_RealDef__Oreal__Groups_Ocomm__monoid__mult,
% 235.50/47.74 arity_RealDef__Oreal__Groups_Ogroup__add,
% 235.50/47.74 arity_RealDef__Oreal__Groups_Olinordered__ab__group__add,
% 235.50/47.74 arity_RealDef__Oreal__Groups_Omonoid__add,
% 235.50/47.74 arity_RealDef__Oreal__Groups_Omonoid__mult, arity_RealDef__Oreal__Groups_Oone,
% 235.50/47.74 arity_RealDef__Oreal__Groups_Oordered__ab__group__add,
% 235.50/47.74 arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs,
% 235.50/47.74 arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add,
% 235.50/47.74 arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le,
% 235.50/47.74 arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add,
% 235.50/47.74 arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add,
% 235.50/47.74 arity_RealDef__Oreal__Groups_Ozero, arity_RealDef__Oreal__Int_Onumber__ring,
% 235.50/47.74 arity_RealDef__Oreal__Int_Oring__char__0,
% 235.50/47.74 arity_RealDef__Oreal__Orderings_Olinorder,
% 235.50/47.74 arity_RealDef__Oreal__RealVector_Oreal__field,
% 235.50/47.74 arity_RealDef__Oreal__RealVector_Oreal__normed__algebra,
% 235.50/47.74 arity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,
% 235.50/47.74 arity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,
% 235.50/47.74 arity_RealDef__Oreal__RealVector_Oreal__normed__field,
% 235.50/47.74 arity_RealDef__Oreal__RealVector_Oreal__normed__vector,
% 235.50/47.74 arity_RealDef__Oreal__Rings_Ocomm__semiring,
% 235.50/47.74 arity_RealDef__Oreal__Rings_Ocomm__semiring__1,
% 235.50/47.74 arity_RealDef__Oreal__Rings_Odivision__ring,
% 235.50/47.74 arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero,
% 235.50/47.74 arity_RealDef__Oreal__Rings_Oidom,
% 235.50/47.74 arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict,
% 235.50/47.74 arity_RealDef__Oreal__Rings_Olinordered__ring,
% 235.50/47.74 arity_RealDef__Oreal__Rings_Olinordered__ring__strict,
% 235.50/47.74 arity_RealDef__Oreal__Rings_Olinordered__semidom,
% 235.50/47.74 arity_RealDef__Oreal__Rings_Olinordered__semiring,
% 235.50/47.74 arity_RealDef__Oreal__Rings_Olinordered__semiring__1,
% 235.50/47.74 arity_RealDef__Oreal__Rings_Olinordered__semiring__1__strict,
% 235.50/47.74 arity_RealDef__Oreal__Rings_Olinordered__semiring__strict,
% 235.50/47.74 arity_RealDef__Oreal__Rings_Omult__zero,
% 235.50/47.74 arity_RealDef__Oreal__Rings_Ono__zero__divisors,
% 235.50/47.74 arity_RealDef__Oreal__Rings_Oordered__cancel__semiring,
% 235.50/47.74 arity_RealDef__Oreal__Rings_Oordered__comm__semiring,
% 235.50/47.74 arity_RealDef__Oreal__Rings_Oordered__ring,
% 235.50/47.74 arity_RealDef__Oreal__Rings_Oordered__ring__abs,
% 235.50/47.74 arity_RealDef__Oreal__Rings_Oordered__semiring,
% 235.50/47.74 arity_RealDef__Oreal__Rings_Oring, arity_RealDef__Oreal__Rings_Oring__1,
% 235.50/47.74 arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors,
% 235.50/47.74 arity_RealDef__Oreal__Rings_Oring__no__zero__divisors,
% 235.50/47.74 arity_RealDef__Oreal__Rings_Osemiring,
% 235.50/47.74 arity_RealDef__Oreal__Rings_Ozero__neq__one, fact_Bit0__Pls, fact_Bit0__def,
% 235.50/47.74 fact_DERIV__inverse__lemma, fact_DERIV__mult__lemma, fact_Deriv_Oadd__diff__add,
% 235.50/47.74 fact_Deriv_Oinverse__diff__inverse, fact_N1, fact_Nat_Odiff__diff__eq,
% 235.50/47.74 fact_Suc__diff__diff, fact_Suc__diff__le, fact_Suc__eq__plus1,
% 235.50/47.74 fact_Suc__eq__plus1__left, fact_Suc__inject, fact_Suc__leD, fact_Suc__leI,
% 235.50/47.74 fact_Suc__le__eq, fact_Suc__le__lessD, fact_Suc__le__mono, fact_Suc__lessD,
% 235.50/47.74 fact_Suc__lessI, fact_Suc__less__SucD, fact_Suc__less__eq, fact_Suc__mono,
% 235.50/47.74 fact_Suc__mult__cancel1, fact_Suc__mult__le__cancel1,
% 235.50/47.74 fact_Suc__mult__less__cancel1, fact_Suc__n__not__le__n, fact_Suc__n__not__n,
% 235.50/47.74 fact__096EX_AN_O_AALL_An_062_061N_O_Acmod_A_Ig_A_If_An_J_A_N_Az_J_A_060_Ad_096,
% 235.50/47.74 fact__096_B_Bthesis_O_A_I_B_BN1_O_AALL_An_062_061N1_O_Acmod_A_Ig_A_If_An_J_A_N_Az_J_A_060_Ad_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096,
% 235.50/47.74 fact_ab__diff__minus, fact_ab__left__minus,
% 235.50/47.74 fact_ab__semigroup__add__class_Oadd__ac_I1_J,
% 235.50/47.74 fact_ab__semigroup__mult__class_Omult__ac_I1_J, fact_abs__add__abs,
% 235.50/47.74 fact_abs__diff__less__iff, fact_abs__diff__triangle__ineq, fact_abs__div__pos,
% 235.50/47.74 fact_abs__divide, fact_abs__eq__mult, fact_abs__ge__minus__self,
% 235.50/47.74 fact_abs__ge__self, fact_abs__ge__zero, fact_abs__idempotent, fact_abs__if,
% 235.50/47.74 fact_abs__inverse, fact_abs__leI, fact_abs__le__D1, fact_abs__le__D2,
% 235.50/47.74 fact_abs__le__iff, fact_abs__le__interval__iff, fact_abs__le__zero__iff,
% 235.50/47.74 fact_abs__less__iff, fact_abs__minus__add__cancel, fact_abs__minus__cancel,
% 235.50/47.74 fact_abs__minus__commute, fact_abs__minus__le__zero, fact_abs__mult,
% 235.50/47.74 fact_abs__mult__less, fact_abs__mult__pos, fact_abs__mult__self,
% 235.50/47.74 fact_abs__not__less__zero, fact_abs__number__of, fact_abs__of__neg,
% 235.50/47.74 fact_abs__of__nonneg, fact_abs__of__nonpos, fact_abs__of__pos, fact_abs__one,
% 235.50/47.74 fact_abs__sum__triangle__ineq, fact_abs__triangle__ineq,
% 235.50/47.74 fact_abs__triangle__ineq2, fact_abs__triangle__ineq2__sym,
% 235.50/47.74 fact_abs__triangle__ineq3, fact_abs__triangle__ineq4, fact_abs__zero,
% 235.50/47.74 fact_add_Ocomm__neutral, fact_add__0, fact_add__0__left, fact_add__0__right,
% 235.50/47.74 fact_add__Bit0__Bit0, fact_add__Bit0__Bit1, fact_add__Bit1__Bit0, fact_add__Pls,
% 235.50/47.74 fact_add__Pls__right, fact_add__Suc, fact_add__Suc__right, fact_add__Suc__shift,
% 235.50/47.74 fact_add__diff__assoc, fact_add__diff__assoc2, fact_add__diff__cancel,
% 235.50/47.74 fact_add__diff__inverse, fact_add__divide__distrib, fact_add__divide__eq__iff,
% 235.50/47.74 fact_add__frac__eq, fact_add__frac__num, fact_add__imp__eq,
% 235.50/47.74 fact_add__increasing, fact_add__increasing2, fact_add__leD1, fact_add__leD2,
% 235.50/47.74 fact_add__leE, fact_add__le__cancel__left, fact_add__le__cancel__right,
% 235.50/47.74 fact_add__le__imp__le__left, fact_add__le__imp__le__right,
% 235.50/47.74 fact_add__le__less__mono, fact_add__le__mono, fact_add__le__mono1,
% 235.50/47.74 fact_add__left__cancel, fact_add__left__imp__eq, fact_add__left__mono,
% 235.50/47.74 fact_add__lessD1, fact_add__less__cancel__left, fact_add__less__cancel__right,
% 235.50/47.74 fact_add__less__imp__less__left, fact_add__less__imp__less__right,
% 235.50/47.74 fact_add__less__le__mono, fact_add__less__mono, fact_add__less__mono1,
% 235.50/47.74 fact_add__minus__cancel, fact_add__mono, fact_add__mult__distrib,
% 235.50/47.74 fact_add__mult__distrib2, fact_add__nat__number__of, fact_add__neg__neg,
% 235.50/47.74 fact_add__neg__nonpos, fact_add__nonneg__eq__0__iff, fact_add__nonneg__nonneg,
% 235.50/47.74 fact_add__nonneg__pos, fact_add__nonpos__neg, fact_add__nonpos__nonpos,
% 235.50/47.74 fact_add__num__frac, fact_add__number__of__diff1, fact_add__number__of__diff2,
% 235.50/47.74 fact_add__number__of__eq, fact_add__number__of__left, fact_add__numeral__0,
% 235.50/47.74 fact_add__numeral__0__right, fact_add__pos__nonneg, fact_add__pos__pos,
% 235.50/47.74 fact_add__right__cancel, fact_add__right__imp__eq, fact_add__right__mono,
% 235.50/47.74 fact_add__strict__increasing, fact_add__strict__increasing2,
% 235.50/47.74 fact_add__strict__left__mono, fact_add__strict__mono,
% 235.50/47.74 fact_add__strict__right__mono, fact_arith__simps_I30_J, fact_arith__simps_I32_J,
% 235.50/47.74 fact_ath, fact_combine__common__factor, fact_comm__mult__left__mono,
% 235.50/47.74 fact_comm__mult__strict__left__mono,
% 235.50/47.74 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,
% 235.50/47.74 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,
% 235.50/47.74 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,
% 235.50/47.74 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,
% 235.50/47.74 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,
% 235.50/47.74 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,
% 235.50/47.74 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,
% 235.50/47.74 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,
% 235.50/47.74 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,
% 235.50/47.74 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,
% 235.50/47.74 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,
% 235.50/47.74 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,
% 235.50/47.74 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,
% 235.50/47.74 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,
% 235.50/47.74 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,
% 235.50/47.74 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,
% 235.50/47.74 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,
% 235.50/47.74 fact_comm__semiring__class_Odistrib, fact_complex__diff__def,
% 235.50/47.74 fact_complex__mod__minus__le__complex__mod, fact_complex__mod__triangle__ineq2,
% 235.50/47.74 fact_complex__mod__triangle__sub, fact_convex__bound__le,
% 235.50/47.74 fact_convex__bound__lt, fact_diff__0, fact_diff__0__right, fact_diff__Suc__1,
% 235.50/47.74 fact_diff__Suc__Suc, fact_diff__Suc__diff__eq1, fact_diff__Suc__diff__eq2,
% 235.50/47.74 fact_diff__Suc__eq__diff__pred, fact_diff__add__assoc, fact_diff__add__assoc2,
% 235.50/47.74 fact_diff__add__cancel, fact_diff__add__inverse, fact_diff__add__inverse2,
% 235.50/47.74 fact_diff__bin__simps_I10_J, fact_diff__bin__simps_I1_J,
% 235.50/47.74 fact_diff__bin__simps_I3_J, fact_diff__bin__simps_I7_J,
% 235.50/47.74 fact_diff__bin__simps_I9_J, fact_diff__cancel, fact_diff__cancel2,
% 235.50/47.74 fact_diff__commute, fact_diff__def, fact_diff__diff__cancel,
% 235.50/47.74 fact_diff__diff__left, fact_diff__diff__right, fact_diff__divide__distrib,
% 235.50/47.74 fact_diff__divide__eq__iff, fact_diff__eq__diff__eq, fact_diff__eq__diff__less,
% 235.50/47.74 fact_diff__eq__diff__less__eq, fact_diff__frac__eq, fact_diff__int__def,
% 235.50/47.74 fact_diff__int__def__symmetric, fact_diff__le__mono, fact_diff__le__mono2,
% 235.50/47.74 fact_diff__le__self, fact_diff__less__Suc, fact_diff__less__mono,
% 235.50/47.74 fact_diff__less__mono2, fact_diff__minus__eq__add, fact_diff__mult__distrib,
% 235.50/47.74 fact_diff__mult__distrib2, fact_diff__number__of__eq, fact_diff__self,
% 235.50/47.74 fact_divide_Oadd, fact_divide_Odiff, fact_divide_Ominus, fact_divide_Ozero,
% 235.50/47.74 fact_divide__1, fact_divide__Numeral0, fact_divide__add__eq__iff,
% 235.50/47.74 fact_divide__diff__eq__iff, fact_divide__eq__eq,
% 235.50/47.74 fact_divide__eq__eq__number__of, fact_divide__eq__eq__number__of1,
% 235.50/47.74 fact_divide__eq__imp, fact_divide__inverse, fact_divide__le__0__iff,
% 235.50/47.74 fact_divide__le__eq__number__of, fact_divide__le__eq__number__of1,
% 235.50/47.74 fact_divide__left__mono, fact_divide__left__mono__neg,
% 235.50/47.74 fact_divide__less__0__iff, fact_divide__less__eq__number__of,
% 235.50/47.74 fact_divide__less__eq__number__of1, fact_divide__neg__neg,
% 235.50/47.74 fact_divide__neg__pos, fact_divide__nonneg__neg, fact_divide__nonneg__pos,
% 235.50/47.74 fact_divide__nonpos__neg, fact_divide__nonpos__pos, fact_divide__pos__neg,
% 235.50/47.74 fact_divide__pos__pos, fact_divide__real__def, fact_divide__right__mono,
% 235.50/47.74 fact_divide__right__mono__neg, fact_divide__self, fact_divide__self__if,
% 235.50/47.74 fact_divide__strict__left__mono, fact_divide__strict__left__mono__neg,
% 235.50/47.74 fact_divide__strict__right__mono, fact_divide__strict__right__mono__neg,
% 235.50/47.74 fact_divide__zero, fact_divide__zero__left, fact_division__ring__inverse__add,
% 235.50/47.74 fact_division__ring__inverse__diff, fact_divisors__zero,
% 235.50/47.74 fact_double__add__le__zero__iff__single__add__le__zero,
% 235.50/47.74 fact_double__add__less__zero__iff__single__add__less__zero,
% 235.50/47.74 fact_double__eq__0__iff, fact_double__number__of__Bit0, fact_double__zero__sym,
% 235.50/47.74 fact_eq__add__iff1, fact_eq__add__iff2, fact_eq__diff__iff, fact_eq__divide__eq,
% 235.50/47.74 fact_eq__divide__eq__number__of, fact_eq__divide__eq__number__of1,
% 235.50/47.74 fact_eq__divide__imp, fact_eq__imp__le, fact_eq__number__of,
% 235.50/47.74 fact_equation__minus__iff, fact_even__less__0__iff, fact_field__divide__inverse,
% 235.50/47.74 fact_field__inverse, fact_field__inverse__zero, fact_frac__le, fact_fz_I1_J,
% 235.50/47.74 fact_g_I1_J, fact_gt__half__sum, fact_inverse__1, fact_inverse__add,
% 235.50/47.74 fact_inverse__eq__divide__number__of, fact_inverse__eq__iff__eq,
% 235.50/47.74 fact_inverse__eq__imp__eq, fact_inverse__inverse__eq, fact_inverse__le__imp__le,
% 235.50/47.74 fact_inverse__le__imp__le__neg, fact_inverse__less__1__iff,
% 235.50/47.74 fact_inverse__less__imp__less, fact_inverse__less__imp__less__neg,
% 235.50/47.74 fact_inverse__minus__eq, fact_inverse__mult__distrib,
% 235.50/47.74 fact_inverse__negative__iff__negative, fact_inverse__negative__imp__negative,
% 235.50/47.74 fact_inverse__nonnegative__iff__nonnegative,
% 235.50/47.74 fact_inverse__nonpositive__iff__nonpositive,
% 235.50/47.74 fact_inverse__positive__iff__positive, fact_inverse__positive__imp__positive,
% 235.50/47.74 fact_inverse__unique, fact_inverse__zero, fact_le__SucE, fact_le__SucI,
% 235.50/47.74 fact_le__Suc__eq, fact_le__Suc__ex__iff, fact_le__add1, fact_le__add2,
% 235.50/47.74 fact_le__add__diff, fact_le__add__diff__inverse, fact_le__add__diff__inverse2,
% 235.50/47.74 fact_le__add__iff1, fact_le__add__iff2, fact_le__antisym, fact_le__cube,
% 235.50/47.74 fact_le__diff__conv, fact_le__diff__conv2, fact_le__diff__iff,
% 235.50/47.74 fact_le__divide__eq__number__of, fact_le__divide__eq__number__of1,
% 235.50/47.74 fact_le__eq__less__or__eq, fact_le__iff__add, fact_le__iff__diff__le__0,
% 235.50/47.74 fact_le__imp__diff__is__add, fact_le__imp__inverse__le,
% 235.50/47.74 fact_le__imp__inverse__le__neg, fact_le__imp__less__Suc, fact_le__imp__neg__le,
% 235.50/47.74 fact_le__less__Suc__eq, fact_le__minus__iff, fact_le__minus__self__iff,
% 235.50/47.74 fact_le__nat__number__of, fact_le__neq__implies__less, fact_le__number__of,
% 235.50/47.74 fact_le__number__of__eq__not__less, fact_le__refl, fact_le__square,
% 235.50/47.74 fact_le__trans, fact_left__add__mult__distrib,
% 235.50/47.74 fact_left__diff__distrib__number__of, fact_left__distrib__number__of,
% 235.50/47.74 fact_left__inverse, fact_left__minus, fact_lemma__MVT, fact_lessI,
% 235.50/47.74 fact_less__1__mult, fact_less__SucE, fact_less__SucI, fact_less__Suc__eq,
% 235.50/47.74 fact_less__Suc__eq__le, fact_less__add__Suc1, fact_less__add__Suc2,
% 235.50/47.74 fact_less__add__eq__less, fact_less__add__iff1, fact_less__add__iff2,
% 235.50/47.74 fact_less__add__one, fact_less__antisym, fact_less__diff__conv,
% 235.50/47.74 fact_less__diff__iff, fact_less__divide__eq__number__of, fact_less__eq__Suc__le,
% 235.50/47.74 fact_less__eq__int__code_I13_J, fact_less__eq__int__code_I14_J,
% 235.50/47.74 fact_less__eq__int__code_I15_J, fact_less__eq__int__code_I16_J,
% 235.50/47.74 fact_less__eq__number__of__int__code, fact_less__eq__real__def,
% 235.50/47.74 fact_less__half__sum, fact_less__iff__Suc__add, fact_less__iff__diff__less__0,
% 235.50/47.74 fact_less__imp__diff__less, fact_less__imp__inverse__less,
% 235.50/47.74 fact_less__imp__inverse__less__neg, fact_less__imp__le__nat,
% 235.50/47.74 fact_less__int__code_I13_J, fact_less__int__code_I14_J,
% 235.50/47.74 fact_less__int__code_I15_J, fact_less__int__code_I16_J, fact_less__irrefl__nat,
% 235.50/47.74 fact_less__minus__iff, fact_less__minus__self__iff, fact_less__nat__number__of,
% 235.50/47.74 fact_less__not__refl, fact_less__not__refl2, fact_less__not__refl3,
% 235.50/47.74 fact_less__number__of, fact_less__number__of__int__code,
% 235.50/47.74 fact_less__or__eq__imp__le, fact_less__trans__Suc,
% 235.50/47.74 fact_linorder__neqE__linordered__idom, fact_linorder__neqE__nat,
% 235.50/47.74 fact_minus__Bit0, fact_minus__Pls, fact_minus__add, fact_minus__add__cancel,
% 235.50/47.74 fact_minus__add__distrib, fact_minus__diff__eq, fact_minus__divide__divide,
% 235.50/47.74 fact_minus__divide__left, fact_minus__divide__right, fact_minus__equation__iff,
% 235.50/47.74 fact_minus__le__iff, fact_minus__le__self__iff, fact_minus__less__iff,
% 235.50/47.74 fact_minus__minus, fact_minus__mult__commute, fact_minus__mult__left,
% 235.50/47.74 fact_minus__mult__minus, fact_minus__mult__right, fact_minus__number__of__mult,
% 235.50/47.74 fact_minus__numeral__code_I5_J, fact_minus__numeral__code_I6_J,
% 235.50/47.74 fact_minus__real__def, fact_minus__zero, fact_mth2, fact_mult_Oadd__left,
% 235.50/47.74 fact_mult_Oadd__right, fact_mult_Ocomm__neutral, fact_mult_Odiff__left,
% 235.50/47.74 fact_mult_Odiff__right, fact_mult_Ominus__left, fact_mult_Ominus__right,
% 235.50/47.74 fact_mult_Oprod__diff__prod, fact_mult_Ozero__left, fact_mult_Ozero__right,
% 235.50/47.74 fact_mult__1, fact_mult__1__left, fact_mult__1__right, fact_mult__Bit0,
% 235.50/47.74 fact_mult__Bit1, fact_mult__Pls, fact_mult__Suc, fact_mult__Suc__right,
% 235.50/47.74 fact_mult__diff__mult, fact_mult__divide__mult__cancel__left,
% 235.50/47.74 fact_mult__divide__mult__cancel__right, fact_mult__eq__0__iff,
% 235.50/47.74 fact_mult__imp__div__pos__le, fact_mult__imp__le__div__pos,
% 235.50/47.74 fact_mult__imp__less__div__pos, fact_mult__le__0__iff,
% 235.50/47.74 fact_mult__le__cancel__left__neg, fact_mult__le__cancel__left__pos,
% 235.50/47.74 fact_mult__le__less__imp__less, fact_mult__le__mono, fact_mult__le__mono1,
% 235.50/47.74 fact_mult__le__mono2, fact_mult__left_Oadd, fact_mult__left_Odiff,
% 235.50/47.74 fact_mult__left_Ominus, fact_mult__left_Ozero, fact_mult__left__le__imp__le,
% 235.50/47.74 fact_mult__left__le__one__le, fact_mult__left__less__imp__less,
% 235.50/47.74 fact_mult__left__mono, fact_mult__left__mono__neg,
% 235.50/47.74 fact_mult__less__cancel__left__disj, fact_mult__less__cancel__left__neg,
% 235.50/47.74 fact_mult__less__cancel__left__pos, fact_mult__less__cancel__right__disj,
% 235.50/47.74 fact_mult__less__imp__less__left, fact_mult__less__imp__less__right,
% 235.50/47.74 fact_mult__less__le__imp__less, fact_mult__mono, fact_mult__mono_H,
% 235.50/47.74 fact_mult__neg__neg, fact_mult__neg__pos, fact_mult__nonneg__nonneg,
% 235.50/47.74 fact_mult__nonneg__nonpos, fact_mult__nonneg__nonpos2,
% 235.50/47.74 fact_mult__nonpos__nonneg, fact_mult__nonpos__nonpos,
% 235.50/47.74 fact_mult__number__of__left, fact_mult__pos__neg, fact_mult__pos__neg2,
% 235.50/47.74 fact_mult__pos__pos, fact_mult__right_Oadd, fact_mult__right_Odiff,
% 235.50/47.74 fact_mult__right_Ominus, fact_mult__right_Ozero, fact_mult__right__le__imp__le,
% 235.50/47.74 fact_mult__right__le__one__le, fact_mult__right__less__imp__less,
% 235.50/47.74 fact_mult__right__mono, fact_mult__right__mono__neg,
% 235.50/47.74 fact_mult__strict__left__mono, fact_mult__strict__left__mono__neg,
% 235.50/47.74 fact_mult__strict__mono, fact_mult__strict__mono_H,
% 235.50/47.74 fact_mult__strict__right__mono, fact_mult__strict__right__mono__neg,
% 235.50/47.74 fact_mult__zero__left, fact_mult__zero__right, fact_n__not__Suc__n,
% 235.50/47.74 fact_nat_Oinject, fact_nat__1__eq__mult__iff, fact_nat__add__assoc,
% 235.50/47.74 fact_nat__add__commute, fact_nat__add__left__cancel,
% 235.50/47.74 fact_nat__add__left__cancel__le, fact_nat__add__left__cancel__less,
% 235.50/47.74 fact_nat__add__left__commute, fact_nat__add__right__cancel,
% 235.50/47.74 fact_nat__diff__add__eq1, fact_nat__diff__add__eq2, fact_nat__eq__add__iff1,
% 235.50/47.74 fact_nat__eq__add__iff2, fact_nat__le__add__iff1, fact_nat__le__add__iff2,
% 235.50/47.74 fact_nat__le__linear, fact_nat__less__add__iff1, fact_nat__less__add__iff2,
% 235.50/47.74 fact_nat__less__cases, fact_nat__less__le, fact_nat__mult__1,
% 235.50/47.74 fact_nat__mult__1__right, fact_nat__mult__assoc, fact_nat__mult__commute,
% 235.50/47.74 fact_nat__mult__eq__1__iff, fact_nat__neq__iff, fact_neg__0__le__iff__le,
% 235.50/47.74 fact_neg__0__less__iff__less, fact_neg__equal__iff__equal,
% 235.50/47.74 fact_neg__le__0__iff__le, fact_neg__le__iff__le, fact_neg__less__0__iff__less,
% 235.50/47.74 fact_neg__less__iff__less, fact_neg__less__nonneg,
% 235.50/47.74 fact_negative__imp__inverse__negative, fact_no__zero__divisors,
% 235.50/47.74 fact_nonzero__abs__divide, fact_nonzero__abs__inverse,
% 235.50/47.74 fact_nonzero__divide__eq__eq, fact_nonzero__eq__divide__eq,
% 235.50/47.74 fact_nonzero__inverse__eq__imp__eq, fact_nonzero__inverse__inverse__eq,
% 235.50/47.74 fact_nonzero__inverse__minus__eq, fact_nonzero__inverse__mult__distrib,
% 235.50/47.74 fact_nonzero__minus__divide__divide, fact_nonzero__minus__divide__right,
% 235.50/47.74 fact_nonzero__norm__divide, fact_nonzero__norm__inverse, fact_norm__add__less,
% 235.50/47.74 fact_norm__diff__ineq, fact_norm__diff__triangle__ineq, fact_norm__divide,
% 235.50/47.74 fact_norm__inverse, fact_norm__minus__cancel, fact_norm__mult,
% 235.50/47.74 fact_norm__mult__ineq, fact_norm__mult__less, fact_norm__number__of,
% 235.50/47.74 fact_norm__triangle__ineq, fact_norm__triangle__ineq2,
% 235.50/47.74 fact_norm__triangle__ineq3, fact_norm__triangle__ineq4, fact_not__add__less1,
% 235.50/47.74 fact_not__add__less2, fact_not__less__eq, fact_not__less__eq__eq,
% 235.50/47.74 fact_not__less__less__Suc__eq, fact_not__one__le__zero,
% 235.50/47.74 fact_not__one__less__zero, fact_not__square__less__zero,
% 235.50/47.74 fact_not__sum__squares__lt__zero, fact_number__of__Bit0, fact_number__of__Bit1,
% 235.50/47.74 fact_number__of__Pls, fact_number__of__add, fact_number__of__diff,
% 235.50/47.74 fact_number__of__is__id, fact_number__of__minus, fact_number__of__mult,
% 235.50/47.74 fact_number__of__reorient, fact_one__le__inverse, fact_one__le__inverse__iff,
% 235.50/47.74 fact_one__less__inverse, fact_one__less__inverse__iff, fact_one__neq__zero,
% 235.50/47.74 fact_one__reorient, fact_plus__numeral__code_I9_J, fact_pos__add__strict,
% 235.50/47.74 fact_positive__imp__inverse__positive, fact_real__add__left__mono,
% 235.50/47.74 fact_real__add__mult__distrib, fact_real__diff__def, fact_real__divide__def,
% 235.50/47.74 fact_real__divide__square__eq, fact_real__le__antisym, fact_real__le__linear,
% 235.50/47.74 fact_real__le__refl, fact_real__le__trans, fact_real__less__def,
% 235.50/47.74 fact_real__minus__mult__self__le, fact_real__mult__assoc,
% 235.50/47.74 fact_real__mult__commute, fact_real__of__nat__add, fact_real__of__nat__diff,
% 235.50/47.74 fact_real__of__nat__inject, fact_real__of__nat__le__iff,
% 235.50/47.74 fact_real__of__nat__less__iff, fact_real__of__nat__mult,
% 235.50/47.74 fact_real__squared__diff__one__factored, fact_rel__simps_I10_J,
% 235.50/47.74 fact_rel__simps_I12_J, fact_rel__simps_I14_J, fact_rel__simps_I15_J,
% 235.50/47.74 fact_rel__simps_I16_J, fact_rel__simps_I17_J, fact_rel__simps_I19_J,
% 235.50/47.74 fact_rel__simps_I21_J, fact_rel__simps_I22_J, fact_rel__simps_I27_J,
% 235.50/47.74 fact_rel__simps_I29_J, fact_rel__simps_I31_J, fact_rel__simps_I32_J,
% 235.50/47.74 fact_rel__simps_I33_J, fact_rel__simps_I34_J, fact_rel__simps_I38_J,
% 235.50/47.74 fact_rel__simps_I39_J, fact_rel__simps_I44_J, fact_rel__simps_I46_J,
% 235.50/47.74 fact_rel__simps_I48_J, fact_rel__simps_I49_J, fact_rel__simps_I4_J,
% 235.50/47.74 fact_rel__simps_I50_J, fact_rel__simps_I51_J, fact_rel__simps_I5_J,
% 235.50/47.74 fact_right__diff__distrib__number__of, fact_right__distrib__number__of,
% 235.50/47.74 fact_right__inverse, fact_right__minus, fact_s, fact_semiring__norm_I112_J,
% 235.50/47.74 fact_seq__suble, fact_split__mult__neg__le, fact_split__mult__pos__le,
% 235.50/47.74 fact_square__eq__1__iff, fact_square__eq__iff, fact_subseq__Suc__iff,
% 235.50/47.74 fact_subseq__def, fact_sum__squares__eq__zero__iff, fact_sum__squares__ge__zero,
% 235.50/47.74 fact_sum__squares__gt__zero__iff, fact_sum__squares__le__zero__iff,
% 235.50/47.74 fact_times__divide__eq__right, fact_times__divide__times__eq,
% 235.50/47.74 fact_times__numeral__code_I5_J, fact_trans__le__add1, fact_trans__le__add2,
% 235.50/47.74 fact_trans__less__add1, fact_trans__less__add2, fact_zadd__assoc,
% 235.50/47.74 fact_zadd__commute, fact_zadd__left__commute, fact_zadd__left__mono,
% 235.50/47.74 fact_zadd__strict__right__mono, fact_zadd__zless__mono,
% 235.50/47.74 fact_zadd__zmult__distrib, fact_zadd__zmult__distrib2,
% 235.50/47.74 fact_zdiff__zmult__distrib, fact_zdiff__zmult__distrib2,
% 235.50/47.74 fact_zero__le__divide__iff,
% 235.50/47.74 fact_zero__le__double__add__iff__zero__le__single__add,
% 235.50/47.74 fact_zero__le__mult__iff, fact_zero__le__one, fact_zero__le__square,
% 235.50/47.74 fact_zero__less__abs__iff,
% 235.50/47.74 fact_zero__less__double__add__iff__zero__less__single__add,
% 235.50/47.74 fact_zero__less__mult__pos, fact_zero__less__mult__pos2, fact_zero__less__one,
% 235.50/47.74 fact_zero__less__two, fact_zero__reorient, fact_zle__antisym, fact_zle__linear,
% 235.50/47.74 fact_zle__refl, fact_zle__trans, fact_zless__le, fact_zless__linear,
% 235.50/47.74 fact_zminus__zadd__distrib, fact_zminus__zminus, fact_zmult__assoc,
% 235.50/47.74 fact_zmult__commute, fact_zmult__zminus
% 235.50/47.74
% 235.50/47.74 Those formulas are unsatisfiable:
% 235.50/47.74 ---------------------------------
% 235.50/47.74
% 235.50/47.74 Begin of proof
% 235.50/47.76 |
% 235.50/47.76 | ALPHA: (fact__0962_A_P_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_060_Areal_A_ISuc_A_IN1_A_L_AN2_J_J_096)
% 235.50/47.76 | implies:
% 235.50/47.76 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 235.50/47.76 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 235.50/47.76 | [v10: $i] : ? [v11: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 235.50/47.76 | c_Int_OBit0(v0) = v1 &
% 235.50/47.76 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 235.50/47.76 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = v3 &
% 235.50/47.76 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 235.50/47.76 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v5 &
% 235.50/47.76 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v4, v5) = v6 &
% 235.50/47.76 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v6) = v7 &
% 235.50/47.76 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v7) = v8 &
% 235.50/47.76 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v9 &
% 235.50/47.76 | c_Nat_OSuc(v9) = v10 & c_RealDef_Oreal(tc_Nat_Onat, v10) = v11 &
% 235.50/47.76 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v11) = 0 &
% 235.50/47.76 | $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 235.50/47.76 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 235.50/47.76 |
% 235.50/47.76 | ALPHA: (fact_N2) implies:
% 235.50/47.76 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 235.50/47.76 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 235.50/47.76 | (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 235.50/47.76 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 235.50/47.76 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = v3 &
% 235.50/47.76 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 235.50/47.76 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v5 &
% 235.50/47.76 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v4, v5) = v6 &
% 235.50/47.76 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v6) = v7 &
% 235.50/47.76 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v7) = v8 &
% 235.50/47.76 | c_RealDef_Oreal(tc_Nat_Onat, v_N2____) = v9 &
% 235.50/47.76 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v9) = 0 & $i(v9)
% 235.50/47.76 | & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 235.50/47.76 | $i(v1) & $i(v0))
% 235.50/47.76 |
% 235.50/47.76 | ALPHA: (fact_e2) implies:
% 235.50/47.76 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 235.50/47.76 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 235.50/47.76 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.76 | c_Int_OBit1(c_Int_OPls) = v6 & c_Int_OBit0(v6) = v7 &
% 235.50/47.76 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v7) = v8 &
% 235.50/47.76 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = v1 &
% 235.50/47.76 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 &
% 235.50/47.76 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v3 &
% 235.50/47.76 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v3) = v4 &
% 235.50/47.76 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v4) = v5 &
% 235.50/47.76 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v8) = v9 &
% 235.50/47.76 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v9) = 0 & $i(v9)
% 235.50/47.76 | & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 235.50/47.76 | $i(v1) & $i(v0))
% 235.50/47.76 |
% 235.50/47.76 | ALPHA: (fact_e) implies:
% 235.50/47.76 | (4) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 235.50/47.76 | ? [v5: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.76 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = v1 &
% 235.50/47.76 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 &
% 235.50/47.76 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v3 &
% 235.50/47.76 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v3) = v4 &
% 235.50/47.76 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v4) = v5 &
% 235.50/47.76 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5) = 0 & $i(v5)
% 235.50/47.76 | & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 235.50/47.76 |
% 235.50/47.76 | ALPHA: (fact__096_B_Bthesis_O_A_I_B_BN2_O_A2_A_P_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_060_Areal_AN2_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096)
% 235.50/47.76 | implies:
% 235.50/47.76 | (5) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 235.50/47.76 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 235.50/47.76 | (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 235.50/47.76 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 235.50/47.76 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = v3 &
% 235.50/47.76 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 235.50/47.76 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v5 &
% 235.50/47.76 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v4, v5) = v6 &
% 235.50/47.76 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v6) = v7 &
% 235.50/47.76 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v7) = v8 &
% 235.50/47.76 | $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1)
% 235.50/47.76 | & $i(v0) & ? [v9: $i] : ? [v10: $i] : (c_RealDef_Oreal(tc_Nat_Onat,
% 235.50/47.76 | v9) = v10 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8,
% 235.50/47.76 | v10) = 0 & $i(v10) & $i(v9)))
% 235.50/47.76 |
% 235.50/47.76 | ALPHA: (fact__096_091_124_A2_A_P_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_060_Areal_A_ISuc_A_IN1_A_L_AN2_J_J_059_A0_A_060_A2_A_P_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_124_093_061_061_062_Ainverse_A_Ireal_A_ISuc_A_IN1_A_L_AN2_J_J_J_A_060_Ainverse_A_I2_A_P_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_J_096)
% 235.50/47.76 | implies:
% 235.50/47.76 | (6) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 235.50/47.76 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 235.50/47.76 | [v10: $i] : ? [v11: $i] : ? [v12: any] : ? [v13: $i] : ? [v14: any]
% 235.50/47.76 | : ? [v15: $i] : ? [v16: $i] : ? [v17: any] :
% 235.50/47.76 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v11) = v15 &
% 235.50/47.76 | c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v8) = v16 &
% 235.50/47.76 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v13 &
% 235.50/47.76 | c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 235.50/47.76 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 235.50/47.76 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = v3 &
% 235.50/47.76 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 235.50/47.76 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v5 &
% 235.50/47.76 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v4, v5) = v6 &
% 235.50/47.76 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v6) = v7 &
% 235.50/47.76 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v7) = v8 &
% 235.50/47.76 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v9 &
% 235.50/47.76 | c_Nat_OSuc(v9) = v10 & c_RealDef_Oreal(tc_Nat_Onat, v10) = v11 &
% 235.50/47.76 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v15, v16) = v17 &
% 235.50/47.76 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v8) = v14 &
% 235.50/47.76 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v11) = v12 &
% 235.50/47.76 | $i(v16) & $i(v15) & $i(v13) & $i(v11) & $i(v10) & $i(v9) & $i(v8) &
% 235.50/47.76 | $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)
% 235.50/47.76 | & ( ~ (v14 = 0) | ~ (v12 = 0) | v17 = 0))
% 235.50/47.76 |
% 235.50/47.76 | ALPHA: (fact_th000_I3_J) implies:
% 235.50/47.76 | (7) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 235.50/47.76 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.76 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v1 &
% 235.50/47.76 | c_Nat_OSuc(v1) = v2 & c_RealDef_Oreal(tc_Nat_Onat, v2) = v3 &
% 235.50/47.76 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = 0 & $i(v3)
% 235.50/47.76 | & $i(v2) & $i(v1) & $i(v0))
% 235.50/47.76 |
% 235.50/47.76 | ALPHA: (fact_one__add__one__is__two) implies:
% 235.50/47.76 | (8) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 235.50/47.76 | c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] :
% 235.50/47.76 | ( ~ (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ $i(v2) | ?
% 235.50/47.76 | [v4: any] : ? [v5: $i] : ? [v6: $i] :
% 235.50/47.76 | (class_Int_Onumber__ring(v2) = v4 & c_Groups_Oone__class_Oone(v2) =
% 235.50/47.76 | v5 & c_Groups_Oplus__class_Oplus(v2, v5, v5) = v6 & $i(v6) &
% 235.50/47.76 | $i(v5) & ( ~ (v4 = 0) | v6 = v3))))
% 235.50/47.77 |
% 235.50/47.77 | ALPHA: (fact_add__special_I2_J) implies:
% 235.50/47.77 | (9) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] : !
% 235.50/47.77 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 235.50/47.77 | (c_Int_Onumber__class_Onumber__of(v2, v3) = v4) | ~
% 235.50/47.77 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v3) | ~ $i(v2)
% 235.50/47.77 | | ~ $i(v1) | ? [v5: any] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 235.50/47.77 | $i] : (class_Int_Onumber__ring(v2) = v5 &
% 235.50/47.77 | c_Groups_Oone__class_Oone(v2) = v6 &
% 235.50/47.77 | c_Int_Onumber__class_Onumber__of(v2, v1) = v7 &
% 235.50/47.77 | c_Groups_Oplus__class_Oplus(v2, v6, v7) = v8 & $i(v8) & $i(v7) &
% 235.50/47.77 | $i(v6) & ( ~ (v5 = 0) | v8 = v4))))
% 235.50/47.77 |
% 235.50/47.77 | ALPHA: (fact_add__special_I3_J) implies:
% 235.50/47.77 | (10) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.77 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 235.50/47.77 | (c_Int_Onumber__class_Onumber__of(v2, v3) = v4) | ~
% 235.50/47.77 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~
% 235.50/47.77 | $i(v2) | ~ $i(v1) | ? [v5: any] : ? [v6: $i] : ? [v7: $i] : ?
% 235.50/47.77 | [v8: $i] : (class_Int_Onumber__ring(v2) = v5 &
% 235.50/47.77 | c_Groups_Oone__class_Oone(v2) = v7 &
% 235.50/47.77 | c_Int_Onumber__class_Onumber__of(v2, v1) = v6 &
% 235.50/47.77 | c_Groups_Oplus__class_Oplus(v2, v6, v7) = v8 & $i(v8) & $i(v7) &
% 235.50/47.77 | $i(v6) & ( ~ (v5 = 0) | v8 = v4))))
% 235.50/47.77 |
% 235.50/47.77 | ALPHA: (fact_less__special_I2_J) implies:
% 235.50/47.77 | (11) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.77 | ! [v2: $i] : ! [v3: any] : ( ~ (class_Rings_Olinordered__idom(v2) =
% 235.50/47.77 | 0) | ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) =
% 235.50/47.77 | v3) | ~ $i(v2) | ~ $i(v1) | ? [v4: any] : ? [v5: $i] : ?
% 235.50/47.77 | [v6: $i] : ? [v7: any] : (class_Int_Onumber__ring(v2) = v4 &
% 235.50/47.77 | c_Groups_Oone__class_Oone(v2) = v5 &
% 235.50/47.77 | c_Int_Onumber__class_Onumber__of(v2, v1) = v6 &
% 235.50/47.77 | c_Orderings_Oord__class_Oless(v2, v5, v6) = v7 & $i(v6) & $i(v5)
% 235.50/47.77 | & ( ~ (v4 = 0) | (( ~ (v7 = 0) | v3 = 0) & ( ~ (v3 = 0) | v7 =
% 235.50/47.77 | 0))))))
% 235.50/47.77 |
% 235.50/47.77 | ALPHA: (fact_less__special_I4_J) implies:
% 235.50/47.77 | (12) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.77 | ! [v2: $i] : ! [v3: any] : ( ~ (class_Rings_Olinordered__idom(v2) =
% 235.50/47.77 | 0) | ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) =
% 235.50/47.77 | v3) | ~ $i(v2) | ~ $i(v1) | ? [v4: any] : ? [v5: $i] : ?
% 235.50/47.77 | [v6: $i] : ? [v7: any] : (class_Int_Onumber__ring(v2) = v4 &
% 235.50/47.77 | c_Groups_Oone__class_Oone(v2) = v6 &
% 235.50/47.77 | c_Int_Onumber__class_Onumber__of(v2, v1) = v5 &
% 235.50/47.77 | c_Orderings_Oord__class_Oless(v2, v5, v6) = v7 & $i(v6) & $i(v5)
% 235.50/47.77 | & ( ~ (v4 = 0) | (( ~ (v7 = 0) | v3 = 0) & ( ~ (v3 = 0) | v7 =
% 235.50/47.77 | 0))))))
% 235.50/47.77 |
% 235.50/47.77 | ALPHA: (fact_g_I2_J) implies:
% 235.50/47.77 | (13) ? [v0: $i] : ? [v1: $i] :
% 235.50/47.77 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 235.50/47.77 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v0 &
% 235.50/47.77 | $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.50/47.77 | $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : !
% 235.50/47.77 | [v10: int] : (v10 = 0 | ~ (v_g____(v2) = v3) | ~
% 235.50/47.77 | (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v3) = v4) | ~
% 235.50/47.77 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5) |
% 235.50/47.77 | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v7) = v8)
% 235.50/47.77 | | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v8) = v9)
% 235.50/47.77 | | ~ (c_Nat_OSuc(v2) = v6) | ~ (c_RealDef_Oreal(tc_Nat_Onat, v6)
% 235.50/47.77 | = v7) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5,
% 235.50/47.77 | v9) = v10) | ~ $i(v2)))
% 235.50/47.77 |
% 235.50/47.77 | ALPHA: (fact_th1) implies:
% 235.50/47.77 | (14) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 235.50/47.77 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 235.50/47.77 | (c_Int_OBit1(c_Int_OPls) = v5 & c_Int_OBit0(v5) = v6 &
% 235.50/47.77 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v6) = v7 &
% 235.50/47.77 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = v0 &
% 235.50/47.77 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v1 &
% 235.50/47.77 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v2 &
% 235.50/47.77 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v1, v2) = v3 &
% 235.50/47.77 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v3) = v4 &
% 235.50/47.77 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v4, v7) = v8 &
% 235.50/47.77 | $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 235.50/47.77 | $i(v1) & $i(v0) & ! [v9: $i] : ! [v10: $i] : ( ~
% 235.50/47.77 | (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v9) = v10) | ~
% 235.50/47.77 | $i(v9) | ? [v11: $i] : ? [v12: $i] : ? [v13: any] : ? [v14:
% 235.50/47.77 | $i] : ? [v15: $i] : ? [v16: any] :
% 235.50/47.77 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v14) = v15 &
% 235.50/47.77 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v11) = v12
% 235.50/47.77 | & c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v10, v0) =
% 235.50/47.77 | v14 & c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v9,
% 235.50/47.77 | v_z____) = v11 &
% 235.50/47.77 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v15, v8) = v16 &
% 235.50/47.77 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v_d____) =
% 235.50/47.77 | v13 & $i(v15) & $i(v14) & $i(v12) & $i(v11) & ( ~ (v13 = 0) |
% 235.50/47.77 | v16 = 0))))
% 235.50/47.77 |
% 235.50/47.77 | ALPHA: (fact_d_I1_J) implies:
% 235.50/47.77 | (15) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.77 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_d____) = 0 &
% 235.50/47.77 | $i(v0))
% 235.50/47.77 |
% 235.50/47.77 | ALPHA: (fact_d_I2_J) implies:
% 235.50/47.77 | (16) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 235.50/47.77 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 235.50/47.77 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.77 | c_Int_OBit1(c_Int_OPls) = v6 & c_Int_OBit0(v6) = v7 &
% 235.50/47.77 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v7) = v8 &
% 235.50/47.77 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = v1 &
% 235.50/47.77 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 &
% 235.50/47.77 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v3 &
% 235.50/47.77 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v3) = v4 &
% 235.50/47.77 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v4) = v5 &
% 235.50/47.77 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v8) = v9 &
% 235.50/47.77 | $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 235.50/47.77 | $i(v2) & $i(v1) & $i(v0) & ! [v10: $i] : ! [v11: $i] : ( ~
% 235.50/47.77 | (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v10) = v11) | ~
% 235.50/47.77 | $i(v10) | ? [v12: $i] : ? [v13: $i] : ? [v14: any] : ? [v15:
% 235.50/47.77 | any] : ? [v16: $i] : ? [v17: $i] : ? [v18: any] :
% 235.50/47.77 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v16) = v17 &
% 235.50/47.77 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v12) = v13
% 235.50/47.77 | & c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v11, v1) =
% 235.50/47.77 | v16 & c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v10,
% 235.50/47.77 | v_z____) = v12 &
% 235.50/47.77 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v17, v9) = v18 &
% 235.50/47.77 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v_d____) =
% 235.50/47.77 | v15 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v13) =
% 235.50/47.77 | v14 & $i(v17) & $i(v16) & $i(v13) & $i(v12) & ( ~ (v15 = 0) | ~
% 235.50/47.77 | (v14 = 0) | v18 = 0))))
% 235.50/47.77 |
% 235.50/47.77 | ALPHA: (fact_norm__zero) implies:
% 235.50/47.77 | (17) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.77 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 235.50/47.77 | (c_Groups_Ozero__class_Ozero(v1) = v2) | ~
% 235.50/47.77 | (c_RealVector_Onorm__class_Onorm(v1, v2) = v3) | ~ $i(v1) | ?
% 235.50/47.77 | [v4: int] : ( ~ (v4 = 0) &
% 235.50/47.77 | class_RealVector_Oreal__normed__vector(v1) = v4)))
% 235.50/47.77 |
% 235.50/47.77 | ALPHA: (fact_Bit1__def) implies:
% 235.50/47.77 | (18) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v0) &
% 235.50/47.77 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.50/47.77 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v3) | ~
% 235.50/47.77 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v2) | ~
% 235.50/47.77 | $i(v1) | (c_Int_OBit1(v1) = v3 & $i(v3))))
% 235.50/47.77 |
% 235.50/47.77 | ALPHA: (fact_zless__add1__eq) implies:
% 235.50/47.77 | (19) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v0) &
% 235.50/47.77 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~
% 235.50/47.77 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~
% 235.50/47.77 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3) = v4) | ~
% 235.50/47.77 | $i(v2) | ~ $i(v1) | ( ~ (v2 = v1) & ? [v5: int] : ( ~ (v5 = 0) &
% 235.50/47.77 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v5))) &
% 235.50/47.77 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v2 = v1 | ~
% 235.50/47.77 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~
% 235.50/47.77 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3) = 0) | ~
% 235.50/47.77 | $i(v2) | ~ $i(v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 235.50/47.77 | v2, v1) = 0))
% 235.50/47.77 |
% 235.50/47.77 | ALPHA: (fact_norm__eq__zero) implies:
% 235.50/47.77 | (20) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.77 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.50/47.77 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ $i(v2) | ~
% 235.50/47.77 | $i(v1) | ? [v4: any] : ? [v5: $i] :
% 235.50/47.77 | (class_RealVector_Oreal__normed__vector(v2) = v4 &
% 235.50/47.77 | c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v5) & ( ~ (v4 = 0) |
% 235.50/47.77 | (( ~ (v5 = v1) | v3 = v0) & ( ~ (v3 = v0) | v5 = v1))))))
% 235.50/47.77 |
% 235.50/47.77 | ALPHA: (fact_rel__simps_I2_J) implies:
% 235.50/47.77 | (21) ? [v0: int] : ( ~ (v0 = 0) &
% 235.50/47.77 | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OPls) =
% 235.50/47.77 | v0)
% 235.50/47.77 |
% 235.50/47.77 | ALPHA: (fact_real__norm__def) implies:
% 235.50/47.77 | (22) ! [v0: $i] : ! [v1: $i] : ( ~
% 235.50/47.77 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v1) | ~ $i(v0) |
% 235.50/47.77 | (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, v0) = v1 &
% 235.50/47.77 | $i(v1)))
% 235.50/47.77 |
% 235.50/47.77 | ALPHA: (fact_one__is__num__one) implies:
% 235.50/47.78 | (23) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) =
% 235.50/47.78 | v0 & c_Int_OBit1(c_Int_OPls) = v1 &
% 235.50/47.78 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v0 & $i(v1) &
% 235.50/47.78 | $i(v0))
% 235.50/47.78 |
% 235.50/47.78 | ALPHA: (fact_zero__less__norm__iff) implies:
% 235.50/47.78 | (24) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.78 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.50/47.78 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ $i(v2) | ~
% 235.50/47.78 | $i(v1) | ? [v4: any] : ? [v5: any] : ? [v6: $i] :
% 235.50/47.78 | (class_RealVector_Oreal__normed__vector(v2) = v4 &
% 235.50/47.78 | c_Groups_Ozero__class_Ozero(v2) = v6 &
% 235.50/47.78 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = v5 &
% 235.50/47.78 | $i(v6) & ( ~ (v4 = 0) | (( ~ (v6 = v1) | ~ (v5 = 0)) & (v6 = v1
% 235.50/47.78 | | v5 = 0))))))
% 235.50/47.78 |
% 235.50/47.78 | ALPHA: (fact_norm__not__less__zero) implies:
% 235.50/47.78 | (25) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.78 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.50/47.78 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ $i(v2) | ~
% 235.50/47.78 | $i(v1) | ? [v4: any] : ? [v5: any] :
% 235.50/47.78 | (class_RealVector_Oreal__normed__vector(v2) = v4 &
% 235.50/47.78 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0) = v5 & (
% 235.50/47.78 | ~ (v5 = 0) | ~ (v4 = 0)))))
% 235.50/47.78 |
% 235.50/47.78 | ALPHA: (fact_inverse__numeral__1) implies:
% 235.50/47.78 | (26) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.78 | ! [v2: $i] : ! [v3: $i] : (v3 = v2 | ~
% 235.50/47.78 | (c_Rings_Oinverse__class_Oinverse(v1, v2) = v3) | ~
% 235.50/47.78 | (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ $i(v1) | ?
% 235.50/47.78 | [v4: any] : ? [v5: any] : (class_Fields_Ofield(v1) = v4 &
% 235.50/47.78 | class_Int_Onumber__ring(v1) = v5 & ( ~ (v5 = 0) | ~ (v4 =
% 235.50/47.78 | 0)))))
% 235.50/47.78 |
% 235.50/47.78 | ALPHA: (fact_less__special_I3_J) implies:
% 235.50/47.78 | (27) ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~
% 235.50/47.78 | (class_Rings_Olinordered__idom(v1) = 0) | ~
% 235.50/47.78 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls) = v2) |
% 235.50/47.78 | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: $i] : ? [v5: $i] : ?
% 235.50/47.78 | [v6: any] : (class_Int_Onumber__ring(v1) = v3 &
% 235.50/47.78 | c_Groups_Ozero__class_Ozero(v1) = v5 &
% 235.50/47.78 | c_Int_Onumber__class_Onumber__of(v1, v0) = v4 &
% 235.50/47.78 | c_Orderings_Oord__class_Oless(v1, v4, v5) = v6 & $i(v5) & $i(v4) &
% 235.50/47.78 | ( ~ (v3 = 0) | (( ~ (v6 = 0) | v2 = 0) & ( ~ (v2 = 0) | v6 =
% 235.50/47.78 | 0)))))
% 235.50/47.78 |
% 235.50/47.78 | ALPHA: (fact_less__special_I1_J) implies:
% 235.50/47.78 | (28) ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~
% 235.50/47.78 | (class_Rings_Olinordered__idom(v1) = 0) | ~
% 235.50/47.78 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) = v2) |
% 235.50/47.78 | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: $i] : ? [v5: $i] : ?
% 235.50/47.78 | [v6: any] : (class_Int_Onumber__ring(v1) = v3 &
% 235.50/47.78 | c_Groups_Ozero__class_Ozero(v1) = v4 &
% 235.50/47.78 | c_Int_Onumber__class_Onumber__of(v1, v0) = v5 &
% 235.50/47.78 | c_Orderings_Oord__class_Oless(v1, v4, v5) = v6 & $i(v5) & $i(v4) &
% 235.50/47.78 | ( ~ (v3 = 0) | (( ~ (v6 = 0) | v2 = 0) & ( ~ (v2 = 0) | v6 =
% 235.50/47.78 | 0)))))
% 235.50/47.78 |
% 235.50/47.78 | ALPHA: (fact_half__gt__zero) implies:
% 235.50/47.78 | (29) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 235.50/47.78 | c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] :
% 235.50/47.78 | ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: int] : (v7 = 0 |
% 235.50/47.78 | ~ (c_Groups_Ozero__class_Ozero(v3) = v4) | ~
% 235.50/47.78 | (c_Int_Onumber__class_Onumber__of(v3, v1) = v5) | ~
% 235.50/47.78 | (c_Rings_Oinverse__class_Odivide(v3, v2, v5) = v6) | ~
% 235.50/47.78 | (c_Orderings_Oord__class_Oless(v3, v4, v6) = v7) | ~ $i(v3) | ~
% 235.50/47.78 | $i(v2) | ? [v8: any] : ? [v9: any] : ? [v10: any] :
% 235.50/47.78 | (class_Fields_Olinordered__field__inverse__zero(v3) = v8 &
% 235.50/47.78 | class_Int_Onumber__ring(v3) = v9 &
% 235.50/47.78 | c_Orderings_Oord__class_Oless(v3, v4, v2) = v10 & ( ~ (v10 = 0)
% 235.50/47.78 | | ~ (v9 = 0) | ~ (v8 = 0)))))
% 235.50/47.78 |
% 235.50/47.78 | ALPHA: (fact_half__gt__zero__iff) implies:
% 235.50/47.78 | (30) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 235.50/47.78 | c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] :
% 235.50/47.78 | ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: any] : ( ~
% 235.50/47.78 | (c_Groups_Ozero__class_Ozero(v3) = v4) | ~
% 235.50/47.78 | (c_Int_Onumber__class_Onumber__of(v3, v1) = v5) | ~
% 235.50/47.78 | (c_Rings_Oinverse__class_Odivide(v3, v2, v5) = v6) | ~
% 235.50/47.78 | (c_Orderings_Oord__class_Oless(v3, v4, v6) = v7) | ~ $i(v3) | ~
% 235.50/47.78 | $i(v2) | ? [v8: any] : ? [v9: any] : ? [v10: any] :
% 235.50/47.78 | (class_Fields_Olinordered__field__inverse__zero(v3) = v8 &
% 235.50/47.78 | class_Int_Onumber__ring(v3) = v9 &
% 235.50/47.78 | c_Orderings_Oord__class_Oless(v3, v4, v2) = v10 & ( ~ (v9 = 0) |
% 235.50/47.78 | ~ (v8 = 0) | (( ~ (v10 = 0) | v7 = 0) & ( ~ (v7 = 0) | v10 =
% 235.50/47.78 | 0))))))
% 235.50/47.78 |
% 235.50/47.78 | ALPHA: (fact_abs__norm__cancel) implies:
% 235.50/47.78 | (31) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 235.50/47.78 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 235.50/47.78 | $i(v0) | ? [v3: any] : ? [v4: $i] :
% 235.50/47.78 | (class_RealVector_Oreal__normed__vector(v1) = v3 &
% 235.50/47.78 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v4 & $i(v4) & (
% 235.50/47.78 | ~ (v3 = 0) | v4 = v2)))
% 235.50/47.78 |
% 235.50/47.78 | ALPHA: (fact_norm__one) implies:
% 235.50/47.78 | (32) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 235.50/47.78 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 235.50/47.78 | (c_Groups_Oone__class_Oone(v1) = v2) | ~
% 235.50/47.78 | (c_RealVector_Onorm__class_Onorm(v1, v2) = v3) | ~ $i(v1) | ?
% 235.50/47.78 | [v4: int] : ( ~ (v4 = 0) &
% 235.50/47.78 | class_RealVector_Oreal__normed__algebra__1(v1) = v4)))
% 235.50/47.78 |
% 235.50/47.78 | ALPHA: (fact_divide__numeral__1) implies:
% 235.50/47.78 | (33) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.78 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~
% 235.50/47.78 | (c_Int_Onumber__class_Onumber__of(v2, v0) = v3) | ~
% 235.50/47.78 | (c_Rings_Oinverse__class_Odivide(v2, v1, v3) = v4) | ~ $i(v2) |
% 235.50/47.78 | ~ $i(v1) | ? [v5: any] : ? [v6: any] : (class_Fields_Ofield(v2)
% 235.50/47.78 | = v5 & class_Int_Onumber__ring(v2) = v6 & ( ~ (v6 = 0) | ~ (v5
% 235.50/47.78 | = 0)))))
% 235.50/47.78 |
% 235.50/47.78 | ALPHA: (fact_th2) implies:
% 235.50/47.78 | (34) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 235.50/47.78 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 235.50/47.78 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 235.50/47.78 | $i] : (hAPP(v_f____, v0) = v1 & v_g____(v1) = v2 &
% 235.50/47.78 | c_Int_OBit1(c_Int_OPls) = v11 & c_Int_OBit0(v11) = v12 &
% 235.50/47.78 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v12) = v13 &
% 235.50/47.78 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v2) = v3 &
% 235.50/47.78 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = v4 &
% 235.50/47.78 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6 &
% 235.50/47.78 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v7 &
% 235.50/47.78 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v8 &
% 235.50/47.78 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v3, v4) = v5 &
% 235.50/47.78 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v7, v8) = v9 &
% 235.50/47.78 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v9) = v10 &
% 235.50/47.78 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v10, v13) = v14 &
% 235.50/47.78 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v0 &
% 235.50/47.78 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v14) = 0 &
% 235.50/47.78 | $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) &
% 235.50/47.78 | $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 235.50/47.78 | $i(v0))
% 235.50/47.78 |
% 235.50/47.78 | ALPHA: (fact_th32) implies:
% 235.50/47.78 | (35) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 235.50/47.78 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 235.50/47.78 | ? [v10: $i] : (hAPP(v_f____, v0) = v1 & v_g____(v1) = v2 &
% 235.50/47.78 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v6 &
% 235.50/47.78 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v2) = v3 &
% 235.50/47.78 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 235.50/47.78 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v5 &
% 235.50/47.78 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v8) = v9 &
% 235.50/47.78 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v0 &
% 235.50/47.78 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v9) = v10 &
% 235.50/47.78 | c_Nat_OSuc(v0) = v7 & c_RealDef_Oreal(tc_Nat_Onat, v7) = v8 &
% 235.50/47.78 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v10) = 0 &
% 235.50/47.78 | $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 235.50/47.78 | $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 235.50/47.78 |
% 235.50/47.78 | ALPHA: (fact__096cmod_A_Ipoly_Ap_A_Ig_A_If_A_IN1_A_L_AN2_J_J_J_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_A_If_A_IN1_A_L_AN2_J_J_J_096)
% 235.50/47.78 | implies:
% 235.50/47.78 | (36) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 235.50/47.78 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 235.50/47.78 | ? [v10: $i] : (hAPP(v_f____, v0) = v1 & v_g____(v1) = v2 &
% 235.50/47.78 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v6 &
% 235.50/47.78 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v2) = v3 &
% 235.50/47.78 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 235.50/47.78 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v5 &
% 235.50/47.78 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v8) = v9 &
% 235.50/47.78 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v0 &
% 235.50/47.78 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v9) = v10 &
% 235.50/47.78 | c_Nat_OSuc(v1) = v7 & c_RealDef_Oreal(tc_Nat_Onat, v7) = v8 &
% 235.50/47.78 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v10) = 0 &
% 235.50/47.78 | $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 235.50/47.78 | $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 235.50/47.78 |
% 235.50/47.78 | ALPHA: (fact_half) implies:
% 235.50/47.78 | (37) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 235.50/47.78 | c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] :
% 235.50/47.78 | ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: int] : (v7 = 0 |
% 235.50/47.79 | ~ (c_Groups_Oone__class_Oone(v2) = v4) | ~
% 235.50/47.79 | (c_Groups_Ozero__class_Ozero(v2) = v3) | ~
% 235.50/47.79 | (c_Int_Onumber__class_Onumber__of(v2, v1) = v5) | ~
% 235.50/47.79 | (c_Rings_Oinverse__class_Odivide(v2, v4, v5) = v6) | ~
% 235.50/47.79 | (c_Orderings_Oord__class_Oless(v2, v3, v6) = v7) | ~ $i(v2) | ?
% 235.50/47.79 | [v8: any] : ? [v9: any] :
% 235.50/47.79 | (class_Fields_Olinordered__field__inverse__zero(v2) = v8 &
% 235.50/47.79 | class_Int_Onumber__ring(v2) = v9 & ( ~ (v9 = 0) | ~ (v8 =
% 235.50/47.79 | 0)))))
% 235.50/47.79 |
% 235.50/47.79 | ALPHA: (fact_real__average__minus__second) implies:
% 235.50/47.79 | (38) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 235.50/47.79 | v0 & c_Int_OBit0(v0) = v1 &
% 235.50/47.79 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2)
% 235.50/47.79 | & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 235.50/47.79 | [v6: $i] : ! [v7: $i] : ( ~
% 235.50/47.79 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v6, v3) = v7) |
% 235.50/47.79 | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v2) = v6)
% 235.50/47.79 | | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5)
% 235.50/47.79 | | ~ $i(v4) | ~ $i(v3) | ? [v8: $i] :
% 235.50/47.79 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v4, v3) = v8 &
% 235.50/47.79 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v8, v2) = v7 &
% 235.50/47.79 | $i(v8) & $i(v7))))
% 235.50/47.79 |
% 235.50/47.79 | ALPHA: (fact_real__average__minus__first) implies:
% 235.50/47.79 | (39) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 235.50/47.79 | v0 & c_Int_OBit0(v0) = v1 &
% 235.50/47.79 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2)
% 235.50/47.79 | & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 235.50/47.79 | [v6: $i] : ! [v7: $i] : ( ~
% 235.50/47.79 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v6, v4) = v7) |
% 235.50/47.79 | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v2) = v6)
% 235.50/47.79 | | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5)
% 235.50/47.79 | | ~ $i(v4) | ~ $i(v3) | ? [v8: $i] :
% 235.50/47.79 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v4) = v8 &
% 235.50/47.79 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v8, v2) = v7 &
% 235.50/47.79 | $i(v8) & $i(v7))))
% 235.50/47.79 |
% 235.50/47.79 | ALPHA: (fact_real__gt__half__sum) implies:
% 235.50/47.79 | (40) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 235.50/47.79 | v0 & c_Int_OBit0(v0) = v1 &
% 235.50/47.79 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2)
% 235.50/47.79 | & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 235.50/47.79 | [v6: $i] : ! [v7: int] : (v7 = 0 | ~
% 235.50/47.79 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v2) = v6) |
% 235.50/47.79 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5) |
% 235.50/47.79 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v3) = v7) |
% 235.50/47.79 | ~ $i(v4) | ~ $i(v3) | ? [v8: int] : ( ~ (v8 = 0) &
% 235.50/47.79 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v3) = v8)))
% 235.50/47.79 |
% 235.50/47.79 | ALPHA: (fact_real__less__half__sum) implies:
% 235.50/47.79 | (41) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 235.50/47.79 | v0 & c_Int_OBit0(v0) = v1 &
% 235.50/47.79 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2)
% 235.50/47.79 | & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 235.50/47.79 | [v6: $i] : ! [v7: int] : (v7 = 0 | ~
% 235.50/47.79 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v2) = v6) |
% 235.50/47.79 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5) |
% 235.50/47.79 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6) = v7) |
% 235.50/47.79 | ~ $i(v4) | ~ $i(v3) | ? [v8: int] : ( ~ (v8 = 0) &
% 235.50/47.79 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v3) = v8)))
% 235.50/47.79 |
% 235.50/47.79 | ALPHA: (fact__096_B_Bn_O_A_N_As_A_060_061_Acmod_A_Ipoly_Ap_A_Ig_An_J_J_096)
% 235.50/47.79 | implies:
% 235.50/47.79 | (42) ? [v0: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 235.50/47.79 | v_s____) = v0 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 235.50/47.79 | (v_g____(v1) = v2) | ~ $i(v1) | ? [v3: $i] : ? [v4: $i] :
% 235.50/47.79 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v4) = 0 &
% 235.50/47.79 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v2) = v3 &
% 235.50/47.79 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 235.50/47.79 | $i(v4) & $i(v3))))
% 235.50/47.79 |
% 235.50/47.79 | ALPHA: (fact_real__sum__of__halves) implies:
% 235.50/47.79 | (43) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 235.50/47.79 | v0 & c_Int_OBit0(v0) = v1 &
% 235.50/47.79 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2)
% 235.50/47.79 | & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 =
% 235.50/47.79 | v3 | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v3, v2)
% 235.50/47.79 | = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4,
% 235.50/47.79 | v4) = v5) | ~ $i(v3)))
% 235.50/47.79 |
% 235.50/47.79 | ALPHA: (fact_abs__add__one__gt__zero) implies:
% 235.50/47.79 | (44) ? [v0: $i] : ? [v1: $i] :
% 235.50/47.79 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 235.50/47.79 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 235.50/47.79 | & ! [v2: $i] : ! [v3: $i] : ( ~
% 235.50/47.79 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v3) | ~ $i(v2)
% 235.50/47.79 | | ? [v4: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1,
% 235.50/47.79 | v3) = v4 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 235.50/47.79 | v4) = 0 & $i(v4))))
% 235.50/47.79 |
% 235.50/47.79 | ALPHA: (fact_th000_I2_J) implies:
% 235.50/47.79 | (45) ? [v0: $i] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 235.50/47.79 | v0) = 0 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 235.50/47.79 | $i(v0))
% 235.50/47.79 |
% 235.50/47.79 | ALPHA: (fact_th000_I1_J) implies:
% 235.50/47.79 | (46) ? [v0: $i] : ? [v1: $i] :
% 235.50/47.79 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) = 0 &
% 235.50/47.79 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 235.50/47.79 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) &
% 235.50/47.79 | $i(v0))
% 235.50/47.79 |
% 235.50/47.79 | ALPHA: (fact_rp) implies:
% 235.50/47.79 | (47) ? [v0: $i] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 235.50/47.79 | v_r) = 0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.79 | $i(v0))
% 235.50/47.79 |
% 235.50/47.79 | ALPHA: (fact__0961_A_P_Areal_A_ISuc_A_If_A_IN1_A_L_AN2_J_J_J_A_060_061_A1_A_P_Areal_A_ISuc_A_IN1_A_L_AN2_J_J_096)
% 235.50/47.79 | implies:
% 235.50/47.79 | (48) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 235.50/47.79 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 235.50/47.79 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v8) = 0 &
% 235.50/47.79 | hAPP(v_f____, v1) = v2 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 235.50/47.79 | = v0 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, v7) =
% 235.50/47.79 | v8 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, v4) = v5
% 235.50/47.79 | & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v1
% 235.50/47.79 | & c_Nat_OSuc(v2) = v3 & c_Nat_OSuc(v1) = v6 &
% 235.50/47.79 | c_RealDef_Oreal(tc_Nat_Onat, v6) = v7 & c_RealDef_Oreal(tc_Nat_Onat,
% 235.50/47.79 | v3) = v4 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 235.50/47.79 | $i(v2) & $i(v1) & $i(v0))
% 235.50/47.79 |
% 235.50/47.79 | ALPHA: (fact_real__of__nat__ge__zero) implies:
% 235.50/47.79 | (49) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.79 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 235.50/47.79 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~ $i(v1) |
% 235.50/47.79 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) = 0))
% 235.50/47.79 |
% 235.50/47.79 | ALPHA: (fact_th00) implies:
% 235.50/47.79 | (50) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 235.50/47.79 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 235.50/47.79 | ? [v10: $i] : ? [v11: $i] :
% 235.50/47.79 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7, v11) = 0 &
% 235.50/47.79 | hAPP(v_f____, v2) = v3 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 235.50/47.79 | = v1 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 235.50/47.79 | v0 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v9) = v10
% 235.50/47.79 | & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v5) = v6 &
% 235.50/47.79 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v2 &
% 235.50/47.79 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v10) = v11 &
% 235.50/47.79 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v6) = v7 &
% 235.50/47.79 | c_Nat_OSuc(v3) = v4 & c_Nat_OSuc(v2) = v8 &
% 235.50/47.79 | c_RealDef_Oreal(tc_Nat_Onat, v8) = v9 & c_RealDef_Oreal(tc_Nat_Onat,
% 235.50/47.79 | v4) = v5 & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 235.50/47.79 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 235.50/47.79 |
% 235.50/47.79 | ALPHA: (fact_th31) implies:
% 235.50/47.79 | (51) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 235.50/47.79 | ? [v5: $i] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 235.50/47.79 | v5) = 0 & hAPP(v_f____, v1) = v2 & v_g____(v2) = v3 &
% 235.50/47.79 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v3) = v4 &
% 235.50/47.79 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 &
% 235.50/47.79 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v0 &
% 235.50/47.79 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v1 &
% 235.50/47.79 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 235.50/47.79 |
% 235.50/47.79 | ALPHA: (fact_int__0__neq__1) implies:
% 235.50/47.79 | (52) ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 235.50/47.79 | c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 &
% 235.50/47.79 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0))
% 235.50/47.79 |
% 235.50/47.79 | ALPHA: (fact_zminus__0) implies:
% 235.50/47.79 | (53) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 &
% 235.50/47.79 | c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v0 & $i(v0))
% 235.50/47.79 |
% 235.50/47.79 | ALPHA: (fact_zabs__def) implies:
% 235.50/47.79 | (54) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 235.50/47.79 | & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 235.50/47.79 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = v2) | ~
% 235.50/47.79 | $i(v1) | c_Groups_Oabs__class_Oabs(tc_Int_Oint, v1) = v1) & !
% 235.50/47.79 | [v1: $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) =
% 235.50/47.79 | 0) | ~ $i(v1) | ? [v2: $i] :
% 235.50/47.79 | (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2 &
% 235.50/47.79 | c_Groups_Oabs__class_Oabs(tc_Int_Oint, v1) = v2 & $i(v2))))
% 235.50/47.79 |
% 235.50/47.79 | ALPHA: (fact_zabs__less__one__iff) implies:
% 235.50/47.79 | (55) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) =
% 235.50/47.79 | v0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v1 & $i(v1) & $i(v0)
% 235.50/47.79 | & ! [v2: $i] : ! [v3: $i] : (v2 = v1 | ~
% 235.50/47.79 | (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v2) = v3) | ~ $i(v2) | ?
% 235.50/47.79 | [v4: int] : ( ~ (v4 = 0) &
% 235.50/47.79 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0) = v4)) & !
% 235.50/47.79 | [v2: $i] : ( ~ (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v1) = v2) |
% 235.50/47.79 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) = 0))
% 235.50/47.79 |
% 235.50/47.79 | ALPHA: (fact_less__bin__lemma) implies:
% 235.50/47.80 | (56) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 235.50/47.80 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.50/47.80 | (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v2, v1) = v3) | ~
% 235.50/47.80 | $i(v2) | ~ $i(v1) | ? [v4: any] : ? [v5: any] :
% 235.50/47.80 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0) = v5 &
% 235.50/47.80 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v4 & ( ~
% 235.50/47.80 | (v4 = 0) | v5 = 0))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 235.50/47.80 | : ( ~ (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v2, v1) = v3) | ~
% 235.50/47.80 | $i(v2) | ~ $i(v1) | ? [v4: any] : ? [v5: any] :
% 235.50/47.80 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0) = v4 &
% 235.50/47.80 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v5 & ( ~
% 235.50/47.80 | (v4 = 0) | v5 = 0))))
% 235.50/47.80 |
% 235.50/47.80 | ALPHA: (fact_zadd__zminus__inverse2) implies:
% 235.50/47.80 | (57) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 235.50/47.80 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 235.50/47.80 | (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2) | ~
% 235.50/47.80 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v3) | ~
% 235.50/47.80 | $i(v1)))
% 235.50/47.80 |
% 235.50/47.80 | ALPHA: (fact_real__of__nat__le__zero__cancel__iff) implies:
% 235.50/47.80 | (58) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 235.50/47.80 | = v1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) &
% 235.50/47.80 | $i(v0) & ! [v2: $i] : ! [v3: $i] : (v2 = v1 | ~
% 235.50/47.80 | (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~ $i(v2) | ? [v4: int]
% 235.50/47.80 | : ( ~ (v4 = 0) &
% 235.50/47.80 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) =
% 235.50/47.80 | v4)) & ! [v2: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2)
% 235.50/47.80 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) =
% 235.50/47.80 | 0))
% 235.50/47.80 |
% 235.50/47.80 | ALPHA: (fact_Pls__def) implies:
% 235.50/47.80 | (59) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Int_OPls
% 235.50/47.80 |
% 235.50/47.80 | ALPHA: (fact_zero__is__num__zero) implies:
% 235.50/47.80 | (60) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 &
% 235.50/47.80 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) = v0 &
% 235.50/47.80 | $i(v0))
% 235.50/47.80 |
% 235.50/47.80 | ALPHA: (fact_int__0__less__1) implies:
% 235.50/47.80 | (61) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) =
% 235.50/47.80 | v1 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 &
% 235.50/47.80 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) = 0 & $i(v1) &
% 235.50/47.80 | $i(v0))
% 235.50/47.80 |
% 235.50/47.80 | ALPHA: (fact_zadd__0__right) implies:
% 235.50/47.80 | (62) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 235.50/47.80 | & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 235.50/47.80 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~
% 235.50/47.80 | $i(v1)))
% 235.50/47.80 |
% 235.50/47.80 | ALPHA: (fact_zadd__0) implies:
% 235.50/47.80 | (63) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 235.50/47.80 | & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 235.50/47.80 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v2) | ~
% 235.50/47.80 | $i(v1)))
% 235.50/47.80 |
% 235.50/47.80 | ALPHA: (fact_odd__nonzero) implies:
% 235.50/47.80 | (64) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) =
% 235.50/47.80 | v0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v1 & $i(v1) & $i(v0)
% 235.50/47.80 | & ! [v2: $i] : ! [v3: $i] : ( ~
% 235.50/47.80 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v2) = v1) | ~
% 235.50/47.80 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v2) = v3) | ~
% 235.50/47.80 | $i(v2)))
% 235.50/47.80 |
% 235.50/47.80 | ALPHA: (fact_real__0__le__divide__iff) implies:
% 235.50/47.80 | (65) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.80 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] : (
% 235.50/47.80 | ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) =
% 235.50/47.80 | v4) | ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 235.50/47.80 | v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ? [v5: $i] : ? [v6:
% 235.50/47.80 | any] : ? [v7: any] : ? [v8: any] :
% 235.50/47.80 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) = v7
% 235.50/47.80 | & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) =
% 235.50/47.80 | v8 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v5)
% 235.50/47.80 | = v6 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1)
% 235.50/47.80 | = v5 & $i(v5) & ( ~ (v6 = 0) | ((v8 = 0 | v4 = 0) & (v7 = 0 | v3
% 235.50/47.80 | = 0))))) & ! [v1: $i] : ! [v2: $i] : ! [v3: any] : !
% 235.50/47.80 | [v4: any] : ( ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 235.50/47.80 | v0, v2) = v4) | ~
% 235.50/47.80 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) = v3)
% 235.50/47.80 | | ~ $i(v2) | ~ $i(v1) | ? [v5: any] : ? [v6: any] : ? [v7:
% 235.50/47.80 | $i] : ? [v8: any] :
% 235.50/47.80 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) = v5
% 235.50/47.80 | & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) =
% 235.50/47.80 | v6 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v7)
% 235.50/47.80 | = v8 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1)
% 235.50/47.80 | = v7 & $i(v7) & (v8 = 0 | ( ~ (v6 = 0) & ~ (v4 = 0)) | ( ~ (v5
% 235.50/47.80 | = 0) & ~ (v3 = 0))))))
% 235.50/47.80 |
% 235.50/47.80 | ALPHA: (fact_real__le__eq__diff) implies:
% 235.50/47.80 | (66) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.80 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.50/47.80 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v1) = v3) |
% 235.50/47.80 | ~ $i(v2) | ~ $i(v1) | ? [v4: any] : ? [v5: any] :
% 235.50/47.80 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) = v5
% 235.50/47.80 | & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1) =
% 235.50/47.80 | v4 & ( ~ (v4 = 0) | v5 = 0))) & ! [v1: $i] : ! [v2: $i] : !
% 235.50/47.80 | [v3: $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2,
% 235.50/47.80 | v1) = v3) | ~ $i(v2) | ~ $i(v1) | ? [v4: any] : ? [v5:
% 235.50/47.80 | any] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3,
% 235.50/47.80 | v0) = v4 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 235.50/47.80 | v2, v1) = v5 & ( ~ (v4 = 0) | v5 = 0))))
% 235.50/47.80 |
% 235.50/47.80 | ALPHA: (fact_le__special_I1_J) implies:
% 235.50/47.80 | (67) ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~
% 235.50/47.80 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) =
% 235.50/47.80 | v2) | ~ (class_Rings_Olinordered__idom(v1) = 0) | ~ $i(v1) | ~
% 235.50/47.80 | $i(v0) | ? [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: any] :
% 235.50/47.80 | (c_Orderings_Oord__class_Oless__eq(v1, v4, v5) = v6 &
% 235.50/47.80 | class_Int_Onumber__ring(v1) = v3 & c_Groups_Ozero__class_Ozero(v1)
% 235.50/47.80 | = v4 & c_Int_Onumber__class_Onumber__of(v1, v0) = v5 & $i(v5) &
% 235.50/47.80 | $i(v4) & ( ~ (v3 = 0) | (( ~ (v6 = 0) | v2 = 0) & ( ~ (v2 = 0) |
% 235.50/47.80 | v6 = 0)))))
% 235.50/47.80 |
% 235.50/47.80 | ALPHA: (fact_le__special_I3_J) implies:
% 235.50/47.80 | (68) ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~
% 235.50/47.80 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OPls) =
% 235.50/47.80 | v2) | ~ (class_Rings_Olinordered__idom(v1) = 0) | ~ $i(v1) | ~
% 235.50/47.80 | $i(v0) | ? [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: any] :
% 235.50/47.80 | (c_Orderings_Oord__class_Oless__eq(v1, v4, v5) = v6 &
% 235.50/47.80 | class_Int_Onumber__ring(v1) = v3 & c_Groups_Ozero__class_Ozero(v1)
% 235.50/47.80 | = v5 & c_Int_Onumber__class_Onumber__of(v1, v0) = v4 & $i(v5) &
% 235.50/47.80 | $i(v4) & ( ~ (v3 = 0) | (( ~ (v6 = 0) | v2 = 0) & ( ~ (v2 = 0) |
% 235.50/47.80 | v6 = 0)))))
% 235.50/47.80 |
% 235.50/47.80 | ALPHA: (fact_real__of__nat__zero__iff) implies:
% 235.50/47.80 | (69) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 235.50/47.80 | = v1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) &
% 235.50/47.80 | $i(v0) & ! [v2: $i] : (v2 = v1 | ~ (c_RealDef_Oreal(tc_Nat_Onat,
% 235.50/47.80 | v2) = v0) | ~ $i(v2)) & ! [v2: $i] : (v2 = v0 | ~
% 235.50/47.80 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2)))
% 235.50/47.80 |
% 235.50/47.80 | ALPHA: (fact_real__of__nat__zero) implies:
% 235.50/47.80 | (70) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 235.50/47.80 | = v0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 235.50/47.80 | c_RealDef_Oreal(tc_Nat_Onat, v0) = v1 & $i(v1) & $i(v0))
% 235.50/47.80 |
% 235.50/47.80 | ALPHA: (fact_le__special_I2_J) implies:
% 235.50/47.80 | (71) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.80 | ! [v2: $i] : ! [v3: any] : ( ~
% 235.50/47.80 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) = v3) | ~
% 235.50/47.80 | (class_Rings_Olinordered__idom(v2) = 0) | ~ $i(v2) | ~ $i(v1) |
% 235.50/47.80 | ? [v4: any] : ? [v5: $i] : ? [v6: $i] : ? [v7: any] :
% 235.50/47.80 | (c_Orderings_Oord__class_Oless__eq(v2, v5, v6) = v7 &
% 235.50/47.80 | class_Int_Onumber__ring(v2) = v4 & c_Groups_Oone__class_Oone(v2)
% 235.50/47.80 | = v5 & c_Int_Onumber__class_Onumber__of(v2, v1) = v6 & $i(v6) &
% 235.50/47.80 | $i(v5) & ( ~ (v4 = 0) | (( ~ (v7 = 0) | v3 = 0) & ( ~ (v3 = 0) |
% 235.50/47.80 | v7 = 0))))))
% 235.50/47.80 |
% 235.50/47.80 | ALPHA: (fact_le__special_I4_J) implies:
% 235.50/47.80 | (72) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.80 | ! [v2: $i] : ! [v3: any] : ( ~
% 235.50/47.80 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) = v3) | ~
% 235.50/47.80 | (class_Rings_Olinordered__idom(v2) = 0) | ~ $i(v2) | ~ $i(v1) |
% 235.50/47.81 | ? [v4: any] : ? [v5: $i] : ? [v6: $i] : ? [v7: any] :
% 235.50/47.81 | (c_Orderings_Oord__class_Oless__eq(v2, v5, v6) = v7 &
% 235.50/47.81 | class_Int_Onumber__ring(v2) = v4 & c_Groups_Oone__class_Oone(v2)
% 235.50/47.81 | = v6 & c_Int_Onumber__class_Onumber__of(v2, v1) = v5 & $i(v6) &
% 235.50/47.81 | $i(v5) & ( ~ (v4 = 0) | (( ~ (v7 = 0) | v3 = 0) & ( ~ (v3 = 0) |
% 235.50/47.81 | v7 = 0))))))
% 235.50/47.81 |
% 235.50/47.81 | ALPHA: (fact_norm__ge__zero) implies:
% 235.50/47.81 | (73) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.81 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.50/47.81 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ $i(v2) | ~
% 235.50/47.81 | $i(v1) | ? [v4: any] : ? [v5: any] :
% 235.50/47.81 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) = v5
% 235.50/47.81 | & class_RealVector_Oreal__normed__vector(v2) = v4 & ( ~ (v4 = 0)
% 235.50/47.81 | | v5 = 0))))
% 235.50/47.81 |
% 235.50/47.81 | ALPHA: (fact_real__add__le__0__iff) implies:
% 235.50/47.81 | (74) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.81 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 235.50/47.81 | (v4 = 0 | ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 235.50/47.81 | v1, v3) = v4) | ~
% 235.50/47.81 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3) | ~
% 235.50/47.81 | $i(v2) | ~ $i(v1) | ? [v5: $i] : ? [v6: int] : ( ~ (v6 = 0) &
% 235.50/47.81 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v0) = v6
% 235.50/47.81 | & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v5 &
% 235.50/47.81 | $i(v5))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.50/47.81 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v3) = 0)
% 235.50/47.81 | | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3)
% 235.50/47.81 | | ~ $i(v2) | ~ $i(v1) | ? [v4: $i] :
% 235.50/47.81 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v0) = 0 &
% 235.50/47.81 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v4 &
% 235.50/47.81 | $i(v4))))
% 235.50/47.81 |
% 235.50/47.81 | ALPHA: (fact_real__0__le__add__iff) implies:
% 235.50/47.81 | (75) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.81 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 235.50/47.81 | (v4 = 0 | ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 235.50/47.81 | v3, v1) = v4) | ~
% 235.50/47.81 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3) | ~
% 235.50/47.81 | $i(v2) | ~ $i(v1) | ? [v5: $i] : ? [v6: int] : ( ~ (v6 = 0) &
% 235.50/47.81 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v5) = v6
% 235.50/47.81 | & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v5 &
% 235.50/47.81 | $i(v5))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.50/47.81 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v1) = 0)
% 235.50/47.81 | | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3)
% 235.50/47.81 | | ~ $i(v2) | ~ $i(v1) | ? [v4: $i] :
% 235.50/47.81 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v4) = 0 &
% 235.50/47.81 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v4 &
% 235.50/47.81 | $i(v4))))
% 235.50/47.81 |
% 235.50/47.81 | ALPHA: (fact_nat__less__real__le) implies:
% 235.50/47.81 | (76) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 235.50/47.81 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 235.50/47.81 | [v5: $i] : ! [v6: int] : (v6 = 0 | ~
% 235.50/47.81 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5) = v6)
% 235.50/47.81 | | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v0) = v4)
% 235.50/47.81 | | ~ (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~
% 235.50/47.81 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v5) | ~ $i(v2) | ~ $i(v1) |
% 235.50/47.81 | ? [v7: int] : ( ~ (v7 = 0) &
% 235.50/47.81 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) = v7)) & !
% 235.50/47.81 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (
% 235.50/47.81 | ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5) =
% 235.50/47.81 | 0) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v0) =
% 235.50/47.81 | v4) | ~ (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~
% 235.50/47.81 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v5) | ~ $i(v2) | ~ $i(v1) |
% 235.50/47.81 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) = 0))
% 235.50/47.81 |
% 235.50/47.81 | ALPHA: (fact_real__of__nat__gt__zero__cancel__iff) implies:
% 235.50/47.81 | (77) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 235.50/47.81 | = v1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) &
% 235.50/47.81 | $i(v0) & ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 235.50/47.81 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) = v3) | ~
% 235.50/47.81 | $i(v2) | ? [v4: $i] : ? [v5: int] : ( ~ (v5 = 0) &
% 235.50/47.81 | c_RealDef_Oreal(tc_Nat_Onat, v2) = v4 &
% 235.50/47.81 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) = v5 &
% 235.50/47.81 | $i(v4))) & ! [v2: $i] : ( ~
% 235.50/47.81 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) = 0) | ~
% 235.50/47.81 | $i(v2) | ? [v3: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3 &
% 235.50/47.81 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = 0 &
% 235.50/47.81 | $i(v3))))
% 235.50/47.81 |
% 235.50/47.81 | ALPHA: (fact_real__of__nat__one) implies:
% 235.50/47.81 | (78) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 235.50/47.81 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v2 &
% 235.50/47.81 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & c_Nat_OSuc(v0) = v1
% 235.50/47.81 | & c_RealDef_Oreal(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) & $i(v0))
% 235.50/47.81 |
% 235.50/47.81 | ALPHA: (fact_bin__less__0__simps_I4_J) implies:
% 235.50/47.81 | (79) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 235.50/47.81 | & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 235.50/47.81 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = v2) | ~
% 235.50/47.81 | $i(v1) | ? [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) &
% 235.50/47.81 | c_Int_OBit1(v1) = v3 &
% 235.50/47.81 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0) = v4 &
% 235.50/47.81 | $i(v3))) & ! [v1: $i] : ( ~
% 235.50/47.81 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = 0) | ~
% 235.50/47.81 | $i(v1) | ? [v2: $i] : (c_Int_OBit1(v1) = v2 &
% 235.50/47.81 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) = 0 &
% 235.50/47.81 | $i(v2))))
% 235.50/47.81 |
% 235.50/47.81 | ALPHA: (fact_bin__less__0__simps_I1_J) implies:
% 235.50/47.81 | (80) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) &
% 235.50/47.81 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 &
% 235.50/47.81 | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) = v1 &
% 235.50/47.81 | $i(v0))
% 235.50/47.81 |
% 235.50/47.81 | ALPHA: (fact_bin__less__0__simps_I3_J) implies:
% 235.50/47.81 | (81) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 235.50/47.81 | & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 235.50/47.81 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = v2) | ~
% 235.50/47.81 | $i(v1) | ? [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) &
% 235.50/47.81 | c_Int_OBit0(v1) = v3 &
% 235.50/47.81 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0) = v4 &
% 235.50/47.81 | $i(v3))) & ! [v1: $i] : ( ~
% 235.50/47.81 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = 0) | ~
% 235.50/47.81 | $i(v1) | ? [v2: $i] : (c_Int_OBit0(v1) = v2 &
% 235.50/47.81 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) = 0 &
% 235.50/47.81 | $i(v2))))
% 235.50/47.81 |
% 235.50/47.81 | ALPHA: (fact_odd__less__0) implies:
% 235.50/47.81 | (82) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) =
% 235.50/47.81 | v0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v1 & $i(v1) & $i(v0)
% 235.50/47.81 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 235.50/47.81 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v2) = v4) | ~
% 235.50/47.81 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v2) = v3) | ~
% 235.50/47.81 | $i(v2) | ? [v5: any] : ? [v6: any] :
% 235.50/47.81 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v1) = v6 &
% 235.50/47.81 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v5 & ( ~
% 235.50/47.81 | (v5 = 0) | v6 = 0))) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i]
% 235.50/47.81 | : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v2) = v4) | ~
% 235.50/47.81 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v2) = v3) | ~
% 235.50/47.81 | $i(v2) | ? [v5: any] : ? [v6: any] :
% 235.50/47.81 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v1) = v5 &
% 235.50/47.81 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v6 & ( ~
% 235.50/47.81 | (v5 = 0) | v6 = 0))))
% 235.50/47.81 |
% 235.50/47.81 | ALPHA: (fact_norm__le__zero__iff) implies:
% 235.50/47.81 | (83) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.81 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.50/47.81 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ $i(v2) | ~
% 235.50/47.81 | $i(v1) | ? [v4: any] : ? [v5: any] : ? [v6: $i] :
% 235.50/47.81 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) = v5
% 235.50/47.81 | & class_RealVector_Oreal__normed__vector(v2) = v4 &
% 235.50/47.81 | c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~ (v4 = 0) |
% 235.50/47.81 | (( ~ (v6 = v1) | v5 = 0) & ( ~ (v5 = 0) | v6 = v1))))))
% 235.50/47.81 |
% 235.50/47.81 | ALPHA: (fact_diff__special_I1_J) implies:
% 235.50/47.81 | (84) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 235.50/47.81 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 235.50/47.81 | (c_Int_Onumber__class_Onumber__of(v2, v4) = v5) | ~
% 235.50/47.81 | (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v3) | ~
% 235.50/47.81 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v3) = v4) | ~
% 235.50/47.81 | $i(v2) | ~ $i(v1) | ? [v6: any] : ? [v7: $i] : ? [v8: $i] : ?
% 235.50/47.81 | [v9: $i] : (class_Int_Onumber__ring(v2) = v6 &
% 235.50/47.81 | c_Groups_Oone__class_Oone(v2) = v7 &
% 235.50/47.81 | c_Int_Onumber__class_Onumber__of(v2, v1) = v8 &
% 235.50/47.81 | c_Groups_Ominus__class_Ominus(v2, v7, v8) = v9 & $i(v9) & $i(v8)
% 235.50/47.81 | & $i(v7) & ( ~ (v6 = 0) | v9 = v5))))
% 235.50/47.81 |
% 235.50/47.81 | ALPHA: (fact_diff__special_I2_J) implies:
% 235.50/47.81 | (85) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 235.50/47.81 | c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v1 & $i(v1) &
% 235.50/47.81 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 235.50/47.81 | (c_Int_Onumber__class_Onumber__of(v3, v4) = v5) | ~
% 235.50/47.81 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v4) | ~
% 235.50/47.81 | $i(v3) | ~ $i(v2) | ? [v6: any] : ? [v7: $i] : ? [v8: $i] : ?
% 235.50/47.81 | [v9: $i] : (class_Int_Onumber__ring(v3) = v6 &
% 235.50/47.81 | c_Groups_Oone__class_Oone(v3) = v8 &
% 235.50/47.81 | c_Int_Onumber__class_Onumber__of(v3, v2) = v7 &
% 235.50/47.81 | c_Groups_Ominus__class_Ominus(v3, v7, v8) = v9 & $i(v9) & $i(v8)
% 235.50/47.81 | & $i(v7) & ( ~ (v6 = 0) | v9 = v5))))
% 235.50/47.81 |
% 235.50/47.81 | ALPHA: (fact_real__zero__not__eq__one) implies:
% 235.50/47.81 | (86) ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 235.50/47.81 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 235.50/47.81 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) &
% 235.50/47.81 | $i(v0))
% 235.50/47.81 |
% 235.50/47.81 | ALPHA: (fact_real__of__nat__1) implies:
% 235.50/47.81 | (87) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) =
% 235.50/47.81 | v0 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 235.50/47.81 | c_RealDef_Oreal(tc_Nat_Onat, v0) = v1 & $i(v1) & $i(v0))
% 235.50/47.81 |
% 235.50/47.81 | ALPHA: (fact_INVERSE__ZERO) implies:
% 235.50/47.81 | (88) ? [v0: $i] : (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v0)
% 235.50/47.81 | = v0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0))
% 235.50/47.81 |
% 235.50/47.81 | ALPHA: (fact_abs__real__of__nat__cancel) implies:
% 235.50/47.81 | (89) ! [v0: $i] : ! [v1: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v0) =
% 235.50/47.81 | v1) | ~ $i(v0) | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1)
% 235.50/47.81 | = v1 & $i(v1)))
% 235.50/47.81 |
% 235.50/47.81 | ALPHA: (fact_not__real__of__nat__less__zero) implies:
% 235.50/47.81 | (90) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.81 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 235.50/47.81 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~ $i(v1) | ? [v3: int]
% 235.50/47.81 | : ( ~ (v3 = 0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 235.50/47.81 | v2, v0) = v3)))
% 235.50/47.81 |
% 235.50/47.81 | ALPHA: (fact_real__add__minus__iff) implies:
% 235.50/47.81 | (91) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.81 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 235.50/47.81 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2) | ~
% 235.50/47.81 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v2) = v3) | ~
% 235.50/47.81 | $i(v1)) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v2 = v1 | ~
% 235.50/47.81 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3) | ~
% 235.50/47.81 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) = v0) | ~
% 235.50/47.81 | $i(v2) | ~ $i(v1)))
% 235.50/47.81 |
% 235.50/47.81 | ALPHA: (fact_real__add__eq__0__iff) implies:
% 235.50/47.81 | (92) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.81 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 235.50/47.81 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 235.50/47.82 | $i(v2) | ~ $i(v1) | ? [v4: $i] : ( ~ (v4 = v1) &
% 235.50/47.82 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v4 &
% 235.50/47.82 | $i(v4))) & ! [v1: $i] : ! [v2: $i] : ( ~
% 235.50/47.82 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v0) | ~
% 235.50/47.82 | $i(v2) | ~ $i(v1) |
% 235.50/47.82 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v1))
% 235.50/47.82 |
% 235.50/47.82 | ALPHA: (fact_real__of__nat__Suc__gt__zero) implies:
% 235.50/47.82 | (93) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.82 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_Nat_OSuc(v1) = v2) | ~
% 235.50/47.82 | $i(v1) | ? [v3: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3 &
% 235.50/47.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = 0 &
% 235.50/47.82 | $i(v3))))
% 235.50/47.82 |
% 235.50/47.82 | ALPHA: (fact_real__0__less__add__iff) implies:
% 235.50/47.82 | (94) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.82 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 235.50/47.82 | (v4 = 0 | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2)
% 235.50/47.82 | = v3) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3,
% 235.50/47.82 | v1) = v4) | ~ $i(v2) | ~ $i(v1) | ? [v5: $i] : ? [v6: int]
% 235.50/47.82 | : ( ~ (v6 = 0) & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2,
% 235.50/47.82 | v1) = v5 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 235.50/47.82 | v5) = v6 & $i(v5))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 235.50/47.82 | : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3) |
% 235.50/47.82 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v1) = 0) |
% 235.50/47.82 | ~ $i(v2) | ~ $i(v1) | ? [v4: $i] :
% 235.50/47.82 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v4 &
% 235.50/47.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) = 0 &
% 235.50/47.82 | $i(v4))))
% 235.50/47.82 |
% 235.50/47.82 | ALPHA: (fact_real__add__less__0__iff) implies:
% 235.50/47.82 | (95) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.82 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 235.50/47.82 | (v4 = 0 | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2)
% 235.50/47.82 | = v3) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 235.50/47.82 | v3) = v4) | ~ $i(v2) | ~ $i(v1) | ? [v5: $i] : ? [v6: int]
% 235.50/47.82 | : ( ~ (v6 = 0) & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2,
% 235.50/47.82 | v1) = v5 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5,
% 235.50/47.82 | v0) = v6 & $i(v5))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 235.50/47.82 | : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3) |
% 235.50/47.82 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v3) = 0) |
% 235.50/47.82 | ~ $i(v2) | ~ $i(v1) | ? [v4: $i] :
% 235.50/47.82 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v4 &
% 235.50/47.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v0) = 0 &
% 235.50/47.82 | $i(v4))))
% 235.50/47.82 |
% 235.50/47.82 | ALPHA: (fact_real__of__nat__Suc) implies:
% 235.50/47.82 | (96) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 235.50/47.82 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 235.50/47.82 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~ $i(v1) | ? [v3: $i]
% 235.50/47.82 | : ? [v4: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2,
% 235.50/47.82 | v0) = v4 & c_Nat_OSuc(v1) = v3 & c_RealDef_Oreal(tc_Nat_Onat,
% 235.50/47.82 | v3) = v4 & $i(v4) & $i(v3))))
% 235.50/47.82 |
% 235.50/47.82 | ALPHA: (fact_real__abs__def) implies:
% 235.50/47.82 | (97) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.82 | $i(v0) & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 235.50/47.82 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) = v2) |
% 235.50/47.82 | ~ $i(v1) | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v1) &
% 235.50/47.82 | ! [v1: $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 235.50/47.82 | v1, v0) = 0) | ~ $i(v1) | ? [v2: $i] :
% 235.50/47.82 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2 &
% 235.50/47.82 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v2 & $i(v2))))
% 235.50/47.82 |
% 235.50/47.82 | ALPHA: (fact_abs__add__one__not__less__self) implies:
% 235.50/47.82 | (98) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 235.50/47.82 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.50/47.82 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v2) | ~
% 235.50/47.82 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v0) = v3) | ~
% 235.50/47.82 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v1) = 0) | ~
% 235.50/47.82 | $i(v1)))
% 235.50/47.82 |
% 235.50/47.82 | ALPHA: (fact_th0) implies:
% 235.50/47.82 | (99) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 235.50/47.82 | v0 & c_Int_OBit0(v0) = v1 &
% 235.50/47.82 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2)
% 235.50/47.82 | & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 235.50/47.82 | [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] :
% 235.50/47.82 | ( ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v5) = v9) |
% 235.50/47.82 | ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9, v10) =
% 235.50/47.82 | 0) | ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v4, v3)
% 235.50/47.82 | = v7) | ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v7) =
% 235.50/47.82 | v8) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v8, v6)
% 235.50/47.82 | = v10) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ?
% 235.50/47.82 | [v11: any] : ? [v12: any] :
% 235.50/47.82 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v5) = v12 &
% 235.50/47.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v5) = v11 &
% 235.50/47.82 | ( ~ (v12 = 0) | ~ (v11 = 0)))))
% 235.50/47.82 |
% 235.50/47.82 | ALPHA: (fact_Bseq__inverse__lemma) implies:
% 235.50/47.82 | (100) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.82 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 235.50/47.82 | [v5: $i] : ! [v6: $i] : ! [v7: int] : (v7 = 0 | ~
% 235.50/47.82 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v6) =
% 235.50/47.82 | v7) | ~ (c_Rings_Oinverse__class_Oinverse(v3, v1) = v4) | ~
% 235.50/47.82 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v2) = v6) |
% 235.50/47.82 | ~ (c_RealVector_Onorm__class_Onorm(v3, v4) = v5) | ~ $i(v3) | ~
% 235.50/47.82 | $i(v2) | ~ $i(v1) | ? [v8: any] : ? [v9: $i] : ? [v10: any] :
% 235.50/47.82 | ? [v11: any] :
% 235.50/47.82 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v9) =
% 235.50/47.82 | v10 & class_RealVector_Oreal__normed__div__algebra(v3) = v8 &
% 235.50/47.82 | c_RealVector_Onorm__class_Onorm(v3, v1) = v9 &
% 235.50/47.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) = v11 &
% 235.50/47.82 | $i(v9) & ( ~ (v11 = 0) | ~ (v10 = 0) | ~ (v8 = 0)))))
% 235.50/47.82 |
% 235.50/47.82 | ALPHA: (fact_lemma__NBseq__def2) implies:
% 235.50/47.82 | (101) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.82 | $i(v0) & ? [v1: $i] : ! [v2: $i] : ( ~
% 235.50/47.82 | (class_RealVector_Oreal__normed__vector(v2) = 0) | ~ $i(v2) | ~
% 235.50/47.82 | $i(v1) | (( ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 235.50/47.82 | (c_Nat_OSuc(v3) = v4 & c_RealDef_Oreal(tc_Nat_Onat, v4) = v5
% 235.50/47.82 | & $i(v5) & $i(v4) & $i(v3) & ! [v6: $i] : ! [v7: $i] : !
% 235.50/47.82 | [v8: $i] : ! [v9: int] : (v9 = 0 | ~ (hAPP(v1, v6) = v7)
% 235.50/47.82 | | ~ (c_RealVector_Onorm__class_Onorm(v2, v7) = v8) | ~
% 235.50/47.82 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v5)
% 235.50/47.82 | = v9) | ~ $i(v6))) | ! [v3: $i] : ( ~
% 235.50/47.82 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) =
% 235.50/47.82 | 0) | ~ $i(v3) | ? [v4: $i] : ? [v5: $i] : ? [v6: $i]
% 235.50/47.82 | : ? [v7: int] : ( ~ (v7 = 0) &
% 235.50/47.82 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6,
% 235.50/47.82 | v3) = v7 & hAPP(v1, v4) = v5 &
% 235.50/47.82 | c_RealVector_Onorm__class_Onorm(v2, v5) = v6 & $i(v6) &
% 235.50/47.83 | $i(v5) & $i(v4)))) & ( ? [v3: $i] :
% 235.50/47.83 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = 0
% 235.50/47.83 | & $i(v3) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 235.50/47.83 | [v7: int] : (v7 = 0 | ~
% 235.50/47.83 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6,
% 235.50/47.83 | v3) = v7) | ~ (hAPP(v1, v4) = v5) | ~
% 235.50/47.83 | (c_RealVector_Onorm__class_Onorm(v2, v5) = v6) | ~
% 235.50/47.83 | $i(v4))) | ! [v3: $i] : ! [v4: $i] : ( ~
% 235.50/47.83 | (c_Nat_OSuc(v3) = v4) | ~ $i(v3) | ? [v5: $i] :
% 235.50/47.83 | (c_RealDef_Oreal(tc_Nat_Onat, v4) = v5 & $i(v5) & ? [v6:
% 235.50/47.83 | $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : ( ~
% 235.50/47.83 | (v9 = 0) & hAPP(v1, v6) = v7 &
% 235.50/47.83 | c_RealVector_Onorm__class_Onorm(v2, v7) = v8 &
% 235.50/47.83 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v5)
% 235.50/47.83 | = v9 & $i(v8) & $i(v7) & $i(v6))))))))
% 235.50/47.83 |
% 235.50/47.83 | ALPHA: (fact_lemma__NBseq__def) implies:
% 235.50/47.83 | (102) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.83 | $i(v0) & ? [v1: $i] : ! [v2: $i] : ( ~
% 235.50/47.83 | (class_RealVector_Oreal__normed__vector(v2) = 0) | ~ $i(v2) | ~
% 235.50/47.83 | $i(v1) | (( ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 235.50/47.83 | (c_Nat_OSuc(v3) = v4 & c_RealDef_Oreal(tc_Nat_Onat, v4) = v5
% 235.50/47.83 | & $i(v5) & $i(v4) & $i(v3) & ! [v6: $i] : ! [v7: $i] : !
% 235.50/47.83 | [v8: $i] : ! [v9: int] : (v9 = 0 | ~
% 235.50/47.83 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v8,
% 235.50/47.83 | v5) = v9) | ~ (hAPP(v1, v6) = v7) | ~
% 235.50/47.83 | (c_RealVector_Onorm__class_Onorm(v2, v7) = v8) | ~
% 235.50/47.83 | $i(v6))) | ! [v3: $i] : ( ~
% 235.50/47.83 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) =
% 235.50/47.83 | 0) | ~ $i(v3) | ? [v4: $i] : ? [v5: $i] : ? [v6: $i]
% 235.50/47.83 | : ? [v7: int] : ( ~ (v7 = 0) &
% 235.50/47.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6,
% 235.50/47.83 | v3) = v7 & hAPP(v1, v4) = v5 &
% 235.50/47.83 | c_RealVector_Onorm__class_Onorm(v2, v5) = v6 & $i(v6) &
% 235.50/47.83 | $i(v5) & $i(v4)))) & ( ? [v3: $i] :
% 235.50/47.83 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = 0
% 235.50/47.83 | & $i(v3) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 235.50/47.83 | [v7: int] : (v7 = 0 | ~
% 235.50/47.83 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6,
% 235.50/47.83 | v3) = v7) | ~ (hAPP(v1, v4) = v5) | ~
% 235.50/47.83 | (c_RealVector_Onorm__class_Onorm(v2, v5) = v6) | ~
% 235.50/47.83 | $i(v4))) | ! [v3: $i] : ! [v4: $i] : ( ~
% 235.50/47.83 | (c_Nat_OSuc(v3) = v4) | ~ $i(v3) | ? [v5: $i] :
% 235.50/47.83 | (c_RealDef_Oreal(tc_Nat_Onat, v4) = v5 & $i(v5) & ? [v6:
% 235.50/47.83 | $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : ( ~
% 235.50/47.83 | (v9 = 0) &
% 235.50/47.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v8,
% 235.50/47.83 | v5) = v9 & hAPP(v1, v6) = v7 &
% 235.50/47.83 | c_RealVector_Onorm__class_Onorm(v2, v7) = v8 & $i(v8) &
% 235.50/47.83 | $i(v7) & $i(v6))))))))
% 235.50/47.83 |
% 235.50/47.83 | ALPHA: (fact_wr) implies:
% 235.50/47.83 | (103) $i(v_w____)
% 235.50/47.83 | (104) ? [v0: $i] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 235.50/47.83 | v0, v_r) = 0 &
% 235.50/47.83 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v0
% 235.50/47.83 | & $i(v0))
% 235.50/47.83 |
% 235.50/47.83 | ALPHA: (fact__096_B_Bz_Ax_O_A_091_124_Acmod_Az_A_060_061_Ar_059_Acmod_A_Ipoly_Ap_Az_J_A_061_A_N_Ax_059_A_126_Ax_A_060_A1_A_124_093_A_061_061_062_AFalse_096)
% 235.50/47.83 | implies:
% 235.50/47.83 | (105) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 235.50/47.83 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 235.50/47.83 | (v4 = 0 | ~ (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v2) =
% 235.50/47.83 | v3) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 235.50/47.83 | v0) = v4) | ~ $i(v2) | ~ $i(v1) | ? [v5: $i] : ? [v6:
% 235.50/47.83 | any] : ? [v7: $i] : ? [v8: $i] :
% 235.50/47.83 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v_r) =
% 235.50/47.83 | v6 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) =
% 235.50/47.83 | v7 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) =
% 235.50/47.83 | v5 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v8
% 235.50/47.83 | & $i(v8) & $i(v7) & $i(v5) & ( ~ (v8 = v7) | ~ (v6 = 0)))))
% 235.50/47.83 |
% 235.50/47.83 | ALPHA: (fact__096N1_A_L_AN2_A_060_061_Af_A_IN1_A_L_AN2_J_096) implies:
% 235.50/47.83 | (106) ? [v0: $i] : ? [v1: $i] :
% 235.50/47.83 | (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v1) = 0 &
% 235.50/47.83 | hAPP(v_f____, v0) = v1 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat,
% 235.50/47.83 | v_N1____, v_N2____) = v0 & $i(v1) & $i(v0))
% 235.50/47.83 |
% 235.50/47.83 | ALPHA: (fact_s1m) implies:
% 235.50/47.83 | (107) ? [v0: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 235.50/47.83 | v_s____) = v0 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 235.50/47.83 | (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v1) = v2) | ~
% 235.50/47.83 | $i(v1) | ? [v3: $i] : ? [v4: any] : ? [v5: $i] : ? [v6: any]
% 235.50/47.83 | : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v_r) =
% 235.50/47.83 | v4 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 235.50/47.83 | v5) = v6 &
% 235.50/47.83 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v5 &
% 235.50/47.83 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v3 &
% 235.50/47.83 | $i(v5) & $i(v3) & ( ~ (v4 = 0) | v6 = 0))))
% 235.50/47.83 |
% 235.50/47.83 | ALPHA: (fact__096_B_Bthesis_O_A_I_B_Bd_O_A_091_124_A0_A_060_Ad_059_AALL_Aw_O_A0_A_060_Acmod_A_Iw_A_N_Az_J_A_G_Acmod_A_Iw_A_N_Az_J_A_060_Ad_A_N_N_062_Acmod_A_Ipoly_Ap_Aw_A_N_Apoly_Ap_Az_J_A_060_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_P_A2_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096)
% 235.50/47.83 | implies:
% 235.50/47.83 | (108) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 235.50/47.83 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 235.50/47.83 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.83 | c_Int_OBit1(c_Int_OPls) = v6 & c_Int_OBit0(v6) = v7 &
% 235.50/47.83 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v7) = v8 &
% 235.50/47.83 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = v1 &
% 235.50/47.83 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 &
% 235.50/47.83 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v3 &
% 235.50/47.83 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v3) = v4 &
% 235.50/47.83 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v4) = v5 &
% 235.50/47.83 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v8) = v9 &
% 235.50/47.83 | $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 235.50/47.83 | $i(v2) & $i(v1) & $i(v0) & ? [v10: $i] :
% 235.50/47.83 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v10) = 0 &
% 235.50/47.83 | $i(v10) & ! [v11: $i] : ! [v12: $i] : ! [v13: $i] : ( ~
% 235.50/47.83 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v12) =
% 235.50/47.83 | v13) | ~ (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,
% 235.50/47.83 | v11, v_z____) = v12) | ~
% 235.50/47.83 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v10) = 0)
% 235.50/47.83 | | ~ $i(v11) | ? [v14: any] : ? [v15: $i] : ? [v16: $i] : ?
% 235.50/47.83 | [v17: $i] : ? [v18: any] :
% 235.50/47.83 | (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v11) = v15 &
% 235.50/47.83 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v16) =
% 235.50/47.83 | v17 & c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v15,
% 235.50/47.83 | v1) = v16 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 235.50/47.83 | v17, v9) = v18 &
% 235.50/47.83 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v13) =
% 235.50/47.83 | v14 & $i(v17) & $i(v16) & $i(v15) & ( ~ (v14 = 0) | v18 =
% 235.50/47.83 | 0)))))
% 235.50/47.83 |
% 235.50/47.83 | ALPHA: (fact__096cmod_A0_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A0_J_A_061_A_N_A_I_N_Acmod_A_Ipoly_Ap_A0_J_J_096)
% 235.50/47.83 | implies:
% 235.50/47.83 | (109) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 235.50/47.83 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v_r) = 0 &
% 235.50/47.83 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 &
% 235.50/47.83 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v0) = v2 &
% 235.50/47.83 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 &
% 235.50/47.83 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v1 &
% 235.50/47.83 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v4) = v3 &
% 235.50/47.83 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v4 & $i(v4)
% 235.50/47.83 | & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 235.50/47.83 |
% 235.50/47.83 | ALPHA: (fact_fz_I2_J) implies:
% 235.50/47.83 | (110) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.83 | $i(v0) & ! [v1: $i] : ( ~
% 235.50/47.83 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) = 0) |
% 235.50/47.83 | ~ $i(v1) | ? [v2: $i] : ($i(v2) & ! [v3: $i] : ! [v4: $i] : !
% 235.50/47.83 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: int] : (v8 = 0 |
% 235.50/47.83 | ~ (hAPP(v_f____, v3) = v4) | ~ (v_g____(v4) = v5) | ~
% 235.50/47.83 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) =
% 235.50/47.83 | v7) | ~
% 235.50/47.83 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v5,
% 235.50/47.83 | v_z____) = v6) | ~
% 235.50/47.83 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v1) =
% 235.50/47.83 | v8) | ~ $i(v3) | ? [v9: int] : ( ~ (v9 = 0) &
% 235.50/47.83 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v3) =
% 235.50/47.83 | v9)))))
% 235.50/47.83 |
% 235.50/47.83 | ALPHA: (fact_real__mult__right__cancel) implies:
% 235.50/47.83 | (111) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.83 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 235.50/47.83 | [v5: $i] : (v3 = v0 | ~
% 235.50/47.83 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v3) = v4) |
% 235.50/47.83 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v3) = v5)
% 235.50/47.83 | | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | (( ~ (v5 = v4) | v2 = v1) &
% 235.50/47.83 | ( ~ (v2 = v1) | v5 = v4))))
% 235.50/47.83 |
% 235.50/47.83 | ALPHA: (fact_real__mult__left__cancel) implies:
% 235.50/47.83 | (112) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.83 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 235.50/47.83 | [v5: $i] : (v3 = v0 | ~
% 235.50/47.83 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v2) = v4) |
% 235.50/47.83 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v1) = v5)
% 235.50/47.83 | | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | (( ~ (v5 = v4) | v2 = v1) &
% 235.50/47.83 | ( ~ (v2 = v1) | v5 = v4))))
% 235.50/47.83 |
% 235.50/47.83 | ALPHA: (fact_real__mult__1) implies:
% 235.50/47.83 | (113) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 235.50/47.83 | $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 235.50/47.83 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0, v1) = v2) |
% 235.50/47.83 | ~ $i(v1)))
% 235.50/47.83 |
% 235.50/47.83 | ALPHA: (fact_real__mult__less__iff1) implies:
% 235.50/47.84 | (114) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.84 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 235.50/47.84 | [v5: $i] : ! [v6: any] : ( ~
% 235.50/47.84 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v3) = v4) |
% 235.50/47.84 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v3) = v5)
% 235.50/47.84 | | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v5) =
% 235.50/47.84 | v6) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v7: any] : ?
% 235.50/47.84 | [v8: any] : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2,
% 235.50/47.84 | v1) = v8 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 235.50/47.84 | v0, v3) = v7 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | v6 = 0) & ( ~
% 235.50/47.84 | (v6 = 0) | v8 = 0))))))
% 235.50/47.84 |
% 235.50/47.84 | ALPHA: (fact_real__mult__order) implies:
% 235.50/47.84 | (115) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.84 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 235.50/47.84 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) = 0) |
% 235.50/47.84 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) = 0) |
% 235.50/47.84 | ~ $i(v2) | ~ $i(v1) | ? [v3: $i] :
% 235.50/47.84 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v1) = v3 &
% 235.50/47.84 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = 0 &
% 235.50/47.84 | $i(v3))))
% 235.50/47.84 |
% 235.50/47.84 | ALPHA: (fact_real__mult__less__mono2) implies:
% 235.50/47.84 | (116) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.84 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 235.50/47.84 | [v5: $i] : ! [v6: int] : (v6 = 0 | ~
% 235.50/47.84 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v2) = v4) |
% 235.50/47.84 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v1) = v5)
% 235.50/47.84 | | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v5) =
% 235.50/47.84 | v6) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v7: any] : ?
% 235.50/47.84 | [v8: any] : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2,
% 235.50/47.84 | v1) = v8 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 235.50/47.84 | v0, v3) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0)))))
% 235.50/47.84 |
% 235.50/47.84 | ALPHA: (fact_real__two__squares__add__zero__iff) implies:
% 235.50/47.84 | (117) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.50/47.84 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 235.50/47.84 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v2) = v3)
% 235.50/47.84 | | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v1) =
% 235.50/47.84 | v4) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v4)
% 235.50/47.84 | = v0) | ~ $i(v2) | ~ $i(v1) | (v2 = v0 & v1 = v0)) & ! [v1:
% 235.50/47.84 | $i] : ! [v2: $i] : (v2 = v0 | ~
% 235.50/47.84 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0, v0) = v1) |
% 235.50/47.84 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v1) = v2)))
% 235.50/47.84 |
% 235.50/47.84 | ALPHA: (fact_int__one__le__iff__zero__less) implies:
% 235.50/47.84 | (118) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) =
% 235.50/47.84 | v0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v1 & $i(v1) &
% 235.50/47.84 | $i(v0) & ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 235.50/47.84 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) = v3) |
% 235.50/47.84 | ~ $i(v2) | ? [v4: int] : ( ~ (v4 = 0) &
% 235.50/47.84 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) = v4)) & !
% 235.50/47.84 | [v2: $i] : ( ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0,
% 235.50/47.84 | v2) = 0) | ~ $i(v2) |
% 235.50/47.84 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) = 0))
% 235.50/47.84 |
% 235.50/47.84 | ALPHA: (fact_mult__numeral__1) implies:
% 235.78/47.84 | (119) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 235.78/47.84 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~
% 235.78/47.84 | (c_Groups_Otimes__class_Otimes(v2, v3, v1) = v4) | ~
% 235.78/47.84 | (c_Int_Onumber__class_Onumber__of(v2, v0) = v3) | ~ $i(v2) | ~
% 235.78/47.84 | $i(v1) | ? [v5: int] : ( ~ (v5 = 0) &
% 235.78/47.84 | class_Int_Onumber__ring(v2) = v5)))
% 235.78/47.84 |
% 235.78/47.84 | ALPHA: (fact_mult__numeral__1__right) implies:
% 235.78/47.84 | (120) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 235.78/47.84 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~
% 235.78/47.84 | (c_Groups_Otimes__class_Otimes(v2, v1, v3) = v4) | ~
% 235.78/47.84 | (c_Int_Onumber__class_Onumber__of(v2, v0) = v3) | ~ $i(v2) | ~
% 235.78/47.84 | $i(v1) | ? [v5: int] : ( ~ (v5 = 0) &
% 235.78/47.84 | class_Int_Onumber__ring(v2) = v5)))
% 235.78/47.84 |
% 235.78/47.84 | ALPHA: (fact_real__mult__le__cancel__iff1) implies:
% 235.78/47.84 | (121) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.78/47.84 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 235.78/47.84 | [v5: $i] : ! [v6: any] : ( ~
% 235.78/47.84 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v3) = v4) |
% 235.78/47.84 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v3) = v5)
% 235.78/47.84 | | ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5)
% 235.78/47.84 | = v6) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v7: any] : ?
% 235.78/47.84 | [v8: any] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 235.78/47.84 | v2, v1) = v8 &
% 235.78/47.84 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = v7 &
% 235.78/47.84 | ( ~ (v7 = 0) | (( ~ (v8 = 0) | v6 = 0) & ( ~ (v6 = 0) | v8 =
% 235.78/47.84 | 0))))))
% 235.78/47.84 |
% 235.78/47.84 | ALPHA: (fact_real__mult__le__cancel__iff2) implies:
% 235.78/47.84 | (122) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.78/47.84 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 235.78/47.84 | [v5: $i] : ! [v6: any] : ( ~
% 235.78/47.84 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v2) = v4) |
% 235.78/47.84 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v1) = v5)
% 235.78/47.84 | | ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5)
% 235.78/47.84 | = v6) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v7: any] : ?
% 235.78/47.84 | [v8: any] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 235.78/47.84 | v2, v1) = v8 &
% 235.78/47.84 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = v7 &
% 235.78/47.84 | ( ~ (v7 = 0) | (( ~ (v8 = 0) | v6 = 0) & ( ~ (v6 = 0) | v8 =
% 235.78/47.84 | 0))))))
% 235.78/47.84 |
% 235.78/47.84 | ALPHA: (fact_rabs__ratiotest__lemma) implies:
% 235.78/47.84 | (123) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.78/47.84 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 235.78/47.84 | [v5: $i] : ! [v6: $i] : (v2 = v0 | ~
% 235.78/47.84 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v5) = v6) |
% 235.78/47.84 | ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v6) =
% 235.78/47.84 | 0) | ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v4)
% 235.78/47.84 | | ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v5) | ~
% 235.78/47.84 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v7: int] : ( ~ (v7 = 0) &
% 235.78/47.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) =
% 235.78/47.84 | v7)))
% 235.78/47.84 |
% 235.78/47.84 | ALPHA: (fact_zle__add1__eq__le) implies:
% 235.78/47.84 | (124) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v0) &
% 235.78/47.84 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 |
% 235.78/47.84 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~
% 235.78/47.84 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3) = v4) | ~
% 235.78/47.84 | $i(v2) | ~ $i(v1) | ? [v5: int] : ( ~ (v5 = 0) &
% 235.78/47.84 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1) = v5)) &
% 235.78/47.84 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.78/47.84 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~
% 235.78/47.84 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3) = 0) | ~
% 235.78/47.84 | $i(v2) | ~ $i(v1) |
% 235.78/47.84 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1) = 0))
% 235.78/47.84 |
% 235.78/47.84 | ALPHA: (fact_add1__zle__eq) implies:
% 235.78/47.84 | (125) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v0) &
% 235.78/47.84 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 |
% 235.78/47.84 | ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v1) = v4) |
% 235.78/47.84 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v0) = v3) | ~
% 235.78/47.84 | $i(v2) | ~ $i(v1) | ? [v5: int] : ( ~ (v5 = 0) &
% 235.78/47.84 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v5)) & !
% 235.78/47.84 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.78/47.84 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v1) = 0) | ~
% 235.78/47.84 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v0) = v3) | ~
% 235.78/47.84 | $i(v2) | ~ $i(v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 235.78/47.84 | v2, v1) = 0))
% 235.78/47.84 |
% 235.78/47.84 | ALPHA: (fact_zless__imp__add1__zle) implies:
% 235.78/47.84 | (126) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v0) &
% 235.78/47.84 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 |
% 235.78/47.84 | ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v1) = v4) |
% 235.78/47.84 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v0) = v3) | ~
% 235.78/47.84 | $i(v2) | ~ $i(v1) | ? [v5: int] : ( ~ (v5 = 0) &
% 235.78/47.84 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v5)))
% 235.78/47.84 |
% 235.78/47.84 | ALPHA: (fact_le__imp__0__less) implies:
% 235.78/47.84 | (127) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) =
% 235.78/47.84 | v1 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) &
% 235.78/47.84 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~
% 235.78/47.84 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v2) = v3) | ~
% 235.78/47.84 | $i(v2) | ? [v4: any] : ? [v5: any] :
% 235.78/47.84 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) = v4 &
% 235.78/47.84 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) = v5 & ( ~
% 235.78/47.84 | (v4 = 0) | v5 = 0))))
% 235.78/47.84 |
% 235.78/47.84 | ALPHA: (fact_zle__diff1__eq) implies:
% 235.78/47.85 | (128) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v0) &
% 235.78/47.85 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 |
% 235.78/47.85 | ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3) = v4) |
% 235.78/47.85 | ~ (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v1, v0) = v3) | ~
% 235.78/47.85 | $i(v2) | ~ $i(v1) | ? [v5: int] : ( ~ (v5 = 0) &
% 235.78/47.85 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v5)) & !
% 235.78/47.85 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.78/47.85 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3) = 0) | ~
% 235.78/47.85 | (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v1, v0) = v3) | ~
% 235.78/47.85 | $i(v2) | ~ $i(v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 235.78/47.85 | v2, v1) = 0))
% 235.78/47.85 |
% 235.78/47.85 | ALPHA: (fact_real__mult__inverse__left) implies:
% 235.78/47.85 | (129) ? [v0: $i] : ? [v1: $i] :
% 235.78/47.85 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 235.78/47.85 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) &
% 235.78/47.85 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | v2 =
% 235.78/47.85 | v0 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v2)
% 235.78/47.85 | = v4) | ~ (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,
% 235.78/47.85 | v2) = v3) | ~ $i(v2)))
% 235.78/47.85 |
% 235.78/47.85 | ALPHA: (fact_norm__ratiotest__lemma) implies:
% 235.78/47.85 | (130) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.78/47.85 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 235.78/47.85 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 235.78/47.85 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v6) = v7) |
% 235.78/47.85 | ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v7) =
% 235.78/47.85 | 0) | ~ (c_RealVector_Onorm__class_Onorm(v4, v2) = v5) | ~
% 235.78/47.85 | (c_RealVector_Onorm__class_Onorm(v4, v1) = v6) | ~ $i(v4) | ~
% 235.78/47.85 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v8: any] : ? [v9: any] : ?
% 235.78/47.85 | [v10: $i] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 235.78/47.85 | v3, v0) = v9 & class_RealVector_Oreal__normed__vector(v4) =
% 235.78/47.85 | v8 & c_Groups_Ozero__class_Ozero(v4) = v10 & $i(v10) & ( ~ (v9
% 235.78/47.85 | = 0) | ~ (v8 = 0) | v10 = v2))))
% 235.78/47.85 |
% 235.78/47.85 | ALPHA: (fact_nat__le__real__less) implies:
% 235.78/47.85 | (131) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 235.78/47.85 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 235.78/47.85 | [v5: $i] : ! [v6: int] : (v6 = 0 | ~
% 235.78/47.85 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v0) = v5) | ~
% 235.78/47.85 | (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~
% 235.78/47.85 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v4) | ~
% 235.78/47.85 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v5) = v6) |
% 235.78/47.85 | ~ $i(v2) | ~ $i(v1) | ? [v7: int] : ( ~ (v7 = 0) &
% 235.78/47.85 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) = v7)) &
% 235.78/47.85 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 235.78/47.85 | : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v0) = v5)
% 235.78/47.85 | | ~ (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~
% 235.78/47.85 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v4) | ~
% 235.78/47.85 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v5) = 0) |
% 235.78/47.85 | ~ $i(v2) | ~ $i(v1) |
% 235.78/47.85 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) = 0))
% 235.78/47.85 |
% 235.78/47.85 | ALPHA: (fact_mult__2) implies:
% 235.78/47.85 | (132) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 235.78/47.85 | c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i]
% 235.78/47.85 | : ! [v4: $i] : ! [v5: $i] : ( ~
% 235.78/47.85 | (c_Groups_Otimes__class_Otimes(v3, v4, v2) = v5) | ~
% 235.78/47.85 | (c_Int_Onumber__class_Onumber__of(v3, v1) = v4) | ~ $i(v3) | ~
% 235.78/47.85 | $i(v2) | ? [v6: any] : ? [v7: $i] :
% 235.78/47.85 | (class_Int_Onumber__ring(v3) = v6 &
% 235.78/47.85 | c_Groups_Oplus__class_Oplus(v3, v2, v2) = v7 & $i(v7) & ( ~ (v6
% 235.78/47.85 | = 0) | v7 = v5))))
% 235.78/47.85 |
% 235.78/47.85 | ALPHA: (fact_mult__2__right) implies:
% 235.78/47.85 | (133) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 235.78/47.85 | c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i]
% 235.78/47.85 | : ! [v4: $i] : ! [v5: $i] : ( ~
% 235.78/47.85 | (c_Groups_Otimes__class_Otimes(v3, v2, v4) = v5) | ~
% 235.78/47.85 | (c_Int_Onumber__class_Onumber__of(v3, v1) = v4) | ~ $i(v3) | ~
% 235.78/47.85 | $i(v2) | ? [v6: any] : ? [v7: $i] :
% 235.78/47.85 | (class_Int_Onumber__ring(v3) = v6 &
% 235.78/47.85 | c_Groups_Oplus__class_Oplus(v3, v2, v2) = v7 & $i(v7) & ( ~ (v6
% 235.78/47.85 | = 0) | v7 = v5))))
% 235.78/47.85 |
% 235.78/47.85 | ALPHA: (fact_eq__divide__2__times__iff) implies:
% 235.78/47.85 | (134) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 235.78/47.85 | v0 & c_Int_OBit0(v0) = v1 &
% 235.78/47.85 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 235.78/47.85 | $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 235.78/47.85 | : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : (v8 = v5 | ~
% 235.78/47.85 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v5) = v6) |
% 235.78/47.85 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v3) = v7)
% 235.78/47.85 | | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v4, v7) =
% 235.78/47.85 | v8) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ? [v9: $i] : ( ~ (v9
% 235.78/47.85 | = v6) & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v4,
% 235.78/47.85 | v3) = v9 & $i(v9))) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 235.78/47.85 | : ! [v6: $i] : ! [v7: $i] : ( ~
% 235.78/47.85 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v5) = v7) |
% 235.78/47.85 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v3) = v6)
% 235.78/47.85 | | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v4, v6) =
% 235.78/47.85 | v5) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) |
% 235.78/47.85 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v4, v3) = v7 &
% 235.78/47.85 | $i(v7))))
% 235.78/47.85 |
% 235.78/47.85 | ALPHA: (fact__096EX_Af_O_AALL_Ax_O_Acmod_A_If_Ax_J_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A_If_Ax_J_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_Ax_J_096)
% 235.78/47.85 | implies:
% 235.78/47.85 | (135) ? [v0: $i] : ? [v1: $i] :
% 235.78/47.85 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 235.78/47.85 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v0 &
% 235.78/47.85 | $i(v1) & $i(v0) & ? [v2: $i] : ($i(v2) & ! [v3: $i] : ! [v4: $i]
% 235.78/47.85 | : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9:
% 235.78/47.85 | $i] : ! [v10: $i] : ! [v11: int] : (v11 = 0 | ~ (hAPP(v2,
% 235.78/47.85 | v3) = v4) | ~ (c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 235.78/47.85 | v_p, v4) = v5) | ~
% 235.78/47.85 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6)
% 235.78/47.85 | | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v8)
% 235.78/47.85 | = v9) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0,
% 235.78/47.85 | v9) = v10) | ~ (c_Nat_OSuc(v3) = v7) | ~
% 235.78/47.85 | (c_RealDef_Oreal(tc_Nat_Onat, v7) = v8) | ~
% 235.78/47.85 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v10) =
% 235.78/47.85 | v11) | ~ $i(v3)) & ! [v3: $i] : ! [v4: $i] : ( ~ (hAPP(v2,
% 235.78/47.85 | v3) = v4) | ~ $i(v3) | ? [v5: $i] :
% 235.78/47.85 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v_r) =
% 235.78/47.85 | 0 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4)
% 235.78/47.85 | = v5 & $i(v5)))))
% 235.78/47.85 |
% 235.78/47.85 | ALPHA: (fact_th) implies:
% 235.78/47.85 | (136) ? [v0: $i] : ? [v1: $i] :
% 235.78/47.85 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 235.78/47.85 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v0 &
% 235.78/47.85 | $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~ (c_Nat_OSuc(v2) =
% 235.78/47.85 | v3) | ~ $i(v2) | ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 235.78/47.85 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v4) = v5 &
% 235.78/47.85 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v5) = v6 &
% 235.78/47.85 | c_RealDef_Oreal(tc_Nat_Onat, v3) = v4 & $i(v6) & $i(v5) &
% 235.78/47.85 | $i(v4) & ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i]
% 235.78/47.85 | : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v8, v_r)
% 235.78/47.85 | = 0 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v7) = v9 &
% 235.78/47.85 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v9) =
% 235.78/47.85 | v10 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 235.78/47.85 | v7) = v8 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 235.78/47.85 | v10, v6) = 0 & $i(v10) & $i(v9) & $i(v8) & $i(v7)))))
% 235.78/47.85 |
% 235.78/47.85 | ALPHA: (fact__096_IEX_Az_Ax_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_060_A_N_As_J_A_061_A_I_N_As_A_060_A_N_As_J_096)
% 235.78/47.86 | implies:
% 235.78/47.86 | (137) ? [v0: $i] : ? [v1: any] :
% 235.78/47.86 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v0 &
% 235.78/47.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v0) = v1 &
% 235.78/47.86 | $i(v0) & ((v1 = 0 & ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ?
% 235.78/47.86 | [v5: $i] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 235.78/47.86 | v3, v_r) = 0 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p,
% 235.78/47.86 | v2) = v4 &
% 235.78/47.86 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5
% 235.78/47.86 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) =
% 235.78/47.86 | v3 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v0)
% 235.78/47.86 | = 0 & $i(v5) & $i(v4) & $i(v3) & $i(v2))) | ( ~ (v1 = 0) & !
% 235.78/47.86 | [v2: $i] : ! [v3: $i] : ( ~
% 235.78/47.86 | (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v2) = v3) | ~
% 235.78/47.86 | $i(v2) | ? [v4: $i] : ? [v5: any] : ? [v6: $i] : ? [v7:
% 235.78/47.86 | any] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 235.78/47.86 | v4, v_r) = v5 &
% 235.78/47.86 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) =
% 235.78/47.86 | v6 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 235.78/47.86 | v2) = v4 &
% 235.78/47.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v0) =
% 235.78/47.86 | v7 & $i(v6) & $i(v4) & ( ~ (v7 = 0) | ~ (v5 = 0)))))))
% 235.78/47.86 |
% 235.78/47.86 | ALPHA: (fact_s1) implies:
% 235.78/47.86 | (138) ? [v0: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 235.78/47.86 | v_s____) = v0 & $i(v0) & ! [v1: $i] : ! [v2: int] : (v2 = 0 |
% 235.78/47.86 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) = v2)
% 235.78/47.86 | | ~ $i(v1) | ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 235.78/47.86 | (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v3) = v4) | ~
% 235.78/47.86 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5)
% 235.78/47.86 | | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v1) =
% 235.78/47.86 | 0) | ~ $i(v3) | ? [v6: $i] : ? [v7: int] : ( ~ (v7 = 0) &
% 235.78/47.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v_r)
% 235.78/47.86 | = v7 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 235.78/47.86 | v3) = v6 & $i(v6)))) & ! [v1: $i] : ( ~
% 235.78/47.86 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) = 0) |
% 235.78/47.86 | ~ $i(v1) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i]
% 235.78/47.86 | : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v_r) =
% 235.78/47.86 | 0 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v2) = v4 &
% 235.78/47.86 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 &
% 235.78/47.86 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 &
% 235.78/47.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v1) = 0 &
% 235.78/47.86 | $i(v5) & $i(v4) & $i(v3) & $i(v2))))
% 235.78/47.86 |
% 235.78/47.86 | ALPHA: (fact__096_B_By_O_A_IEX_Az_Ax_O_Acmod_Az_A_060_061_Ar_A_G_A_N_A_I_N_Acmod_A_Ipoly_Ap_Az_J_J_A_060_Ay_J_A_061_A_I_N_As_A_060_Ay_J_096)
% 235.78/47.86 | implies:
% 235.78/47.86 | (139) ? [v0: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 235.78/47.86 | v_s____) = v0 & $i(v0) & ! [v1: $i] : ! [v2: int] : (v2 = 0 |
% 235.78/47.86 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) = v2)
% 235.78/47.86 | | ~ $i(v1) | ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 235.78/47.86 | $i] : ! [v7: $i] : ( ~
% 235.78/47.86 | (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v3) = v4) | ~
% 235.78/47.86 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5)
% 235.78/47.86 | | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v6) =
% 235.78/47.86 | v7) | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 235.78/47.86 | v5) = v6) | ~
% 235.78/47.86 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v1) = 0) |
% 235.78/47.86 | ~ $i(v3) | ? [v8: $i] : ? [v9: int] : ( ~ (v9 = 0) &
% 235.78/47.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v8, v_r)
% 235.78/47.86 | = v9 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 235.78/47.86 | v3) = v8 & $i(v8)))) & ! [v1: $i] : ( ~
% 235.78/47.86 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) = 0) |
% 235.78/47.86 | ~ $i(v1) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i]
% 235.78/47.86 | : ? [v6: $i] : ? [v7: $i] :
% 235.78/47.86 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v_r) = 0
% 235.78/47.86 | & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v2) = v4 &
% 235.78/47.86 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 &
% 235.78/47.86 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 &
% 235.78/47.86 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v6) = v7 &
% 235.78/47.86 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v5) = v6 &
% 235.78/47.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v1) = 0 &
% 235.78/47.86 | $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2))))
% 235.78/47.86 |
% 235.78/47.86 | ALPHA: (fact_zmult__1) implies:
% 235.78/47.86 | (140) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v0) &
% 235.78/47.86 | ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 235.78/47.86 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v0, v1) = v2) | ~
% 235.78/47.86 | $i(v1)))
% 235.78/47.86 |
% 235.78/47.86 | ALPHA: (fact_zmult__1__right) implies:
% 235.78/47.86 | (141) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v0) &
% 235.78/47.86 | ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 235.78/47.86 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1, v0) = v2) | ~
% 235.78/47.86 | $i(v1)))
% 235.78/47.86 |
% 235.78/47.86 | ALPHA: (fact_zmult__zless__mono2) implies:
% 235.78/47.86 | (142) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 235.78/47.86 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.78/47.86 | $i] : ! [v6: int] : (v6 = 0 | ~
% 235.78/47.86 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1, v3) = v4) | ~
% 235.78/47.86 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1, v2) = v5) | ~
% 235.78/47.86 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v5) = v6) | ~
% 235.78/47.86 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v7: any] : ? [v8: any] :
% 235.78/47.86 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v2) = v7 &
% 235.78/47.86 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) = v8 & ( ~
% 235.78/47.86 | (v8 = 0) | ~ (v7 = 0)))))
% 235.78/47.86 |
% 235.78/47.86 | ALPHA: (fact_abs__zmult__eq__1) implies:
% 235.78/47.86 | (143) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v0) &
% 235.78/47.86 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.78/47.86 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v2, v1) = v3) | ~
% 235.78/47.86 | $i(v2) | ~ $i(v1) | ? [v4: $i] : ? [v5: $i] :
% 235.78/47.86 | (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v3) = v4 &
% 235.78/47.86 | c_Groups_Oabs__class_Oabs(tc_Int_Oint, v2) = v5 & $i(v5) &
% 235.78/47.86 | $i(v4) & ( ~ (v4 = v0) | v5 = v0))))
% 235.78/47.86 |
% 235.78/47.86 | ALPHA: (fact_pos__zmult__eq__1__iff) implies:
% 235.78/47.86 | (144) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) =
% 235.78/47.86 | v1 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) &
% 235.78/47.86 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 235.78/47.86 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v3, v2) = v4) | ~
% 235.78/47.87 | $i(v3) | ~ $i(v2) | ? [v5: int] : ( ~ (v5 = 0) &
% 235.78/47.87 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) = v5) | (( ~
% 235.78/47.87 | (v4 = v1) | (v3 = v1 & v2 = v1)) & ( ~ (v3 = v1) | ~ (v2 =
% 235.78/47.87 | v1) | v4 = v1))))
% 235.78/47.87 |
% 235.78/47.87 | ALPHA: (fact_calculation) implies:
% 235.78/47.87 | (145) ? [v0: $i] : ? [v1: any] :
% 235.78/47.87 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v_r) = v1 &
% 235.78/47.87 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & (v1 =
% 235.78/47.87 | 0 | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 235.78/47.87 | (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v2) = v3 &
% 235.78/47.87 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 235.78/47.87 | $i(v4) & $i(v3) & $i(v2) & ! [v5: $i] : ! [v6: $i] : ! [v7:
% 235.78/47.87 | $i] : ! [v8: int] : (v8 = 0 | ~
% 235.78/47.87 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v7)
% 235.78/47.87 | = v8) | ~ (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p,
% 235.78/47.87 | v5) = v6) | ~
% 235.78/47.87 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) =
% 235.78/47.87 | v7) | ~ $i(v5) | ? [v9: $i] : ? [v10: int] : ( ~ (v10 =
% 235.78/47.87 | 0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 235.78/47.87 | v9, v_r) = v10 &
% 235.78/47.87 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) =
% 235.78/47.87 | v9 & $i(v9))))))
% 235.78/47.87 |
% 235.78/47.87 | ALPHA: (fact_int__pos__lt__two__imp__zero__or__one) implies:
% 235.78/47.87 | (146) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 235.78/47.87 | (c_Groups_Oone__class_Oone(tc_Int_Oint) = v4 &
% 235.78/47.87 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 &
% 235.78/47.87 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 235.78/47.87 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 & $i(v4) &
% 235.78/47.87 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : (v5 = v4 | v5 =
% 235.78/47.87 | v0 | ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint, v5, v3) = 0)
% 235.78/47.87 | | ~ $i(v5) | ? [v6: int] : ( ~ (v6 = 0) &
% 235.78/47.87 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v5) = v6)))
% 235.78/47.87 |
% 235.78/47.87 | ALPHA: (fact_zero__less__Suc) implies:
% 235.78/47.87 | (147) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.87 | & ! [v1: $i] : ! [v2: $i] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ $i(v1)
% 235.78/47.87 | | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) = 0))
% 235.78/47.87 |
% 235.78/47.87 | ALPHA: (fact_incr__lemma) implies:
% 235.78/47.87 | (148) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) =
% 235.78/47.87 | v1 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) &
% 235.78/47.87 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 235.78/47.87 | [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: int]
% 235.78/47.87 | : (v10 = 0 | ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v7, v4)
% 235.78/47.87 | = v8) | ~ (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v2, v3)
% 235.78/47.87 | = v5) | ~ (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v5) = v6) |
% 235.78/47.87 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v6, v1) = v7) | ~
% 235.78/47.87 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v8) = v9) | ~
% 235.78/47.87 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v9) = v10) | ~
% 235.78/47.87 | $i(v4) | ~ $i(v3) | ~ $i(v2) | ? [v11: int] : ( ~ (v11 = 0) &
% 235.78/47.87 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v4) = v11)))
% 235.78/47.87 |
% 235.78/47.87 | ALPHA: (fact_decr__lemma) implies:
% 235.78/47.87 | (149) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) =
% 235.78/47.87 | v1 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) &
% 235.78/47.87 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 235.78/47.87 | [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: int]
% 235.78/47.87 | : (v10 = 0 | ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v7, v4)
% 235.78/47.87 | = v8) | ~ (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v3, v8)
% 235.78/47.87 | = v9) | ~ (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v3, v2)
% 235.78/47.87 | = v5) | ~ (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v5) = v6) |
% 235.78/47.87 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v6, v1) = v7) | ~
% 235.78/47.87 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v9, v2) = v10) | ~
% 235.78/47.87 | $i(v4) | ~ $i(v3) | ~ $i(v2) | ? [v11: int] : ( ~ (v11 = 0) &
% 235.78/47.87 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v4) = v11)))
% 235.78/47.87 |
% 235.78/47.87 | ALPHA: (fact_mult__cancel2) implies:
% 235.78/47.87 | (150) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.87 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.78/47.87 | $i] : (v5 = v4 | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat,
% 235.78/47.87 | v3, v2) = v4) | ~
% 235.78/47.87 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1, v2) = v5) | ~
% 235.78/47.87 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ( ~ (v3 = v1) & ~ (v2 = v0))) &
% 235.78/47.87 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v1 |
% 235.78/47.87 | v2 = v0 | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2)
% 235.78/47.87 | = v4) | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1, v2)
% 235.78/47.87 | = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1)))
% 235.78/47.87 |
% 235.78/47.87 | ALPHA: (fact_mult__is__0) implies:
% 235.78/47.87 | (151) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.87 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 235.78/47.87 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v1) = v3) | ~
% 235.78/47.87 | $i(v2) | ~ $i(v1) | ( ~ (v2 = v0) & ~ (v1 = v0))) & ! [v1: $i]
% 235.78/47.87 | : ! [v2: $i] : (v2 = v0 | v1 = v0 | ~
% 235.78/47.87 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v1) = v0) | ~
% 235.78/47.87 | $i(v2) | ~ $i(v1)))
% 235.78/47.87 |
% 235.78/47.87 | ALPHA: (fact_mult__0__right) implies:
% 235.78/47.87 | (152) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.87 | & ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~
% 235.78/47.87 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1, v0) = v2) | ~
% 235.78/47.87 | $i(v1)))
% 235.78/47.87 |
% 235.78/47.87 | ALPHA: (fact_mult__0) implies:
% 235.78/47.87 | (153) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.87 | & ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~
% 235.78/47.87 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0, v1) = v2) | ~
% 235.78/47.87 | $i(v1)))
% 235.78/47.87 |
% 235.78/47.87 | ALPHA: (fact_nat_Osimps_I3_J) implies:
% 235.78/47.87 | (154) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.87 | & ! [v1: $i] : ( ~ (c_Nat_OSuc(v1) = v0) | ~ $i(v1)))
% 235.78/47.87 |
% 235.78/47.87 | ALPHA: (fact_mult__eq__1__iff) implies:
% 235.78/47.87 | (155) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 235.78/47.87 | = v0 & c_Nat_OSuc(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : !
% 235.78/47.87 | [v3: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2)
% 235.78/47.87 | = v1) | ~ $i(v3) | ~ $i(v2) | (v3 = v1 & v2 = v1)) & ! [v2:
% 235.78/47.87 | $i] : (v2 = v1 | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat,
% 235.78/47.87 | v1, v1) = v2)))
% 235.78/47.87 |
% 235.78/47.87 | ALPHA: (fact_neq0__conv) implies:
% 235.78/47.87 | (156) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.87 | & ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v0) = 0) & !
% 235.78/47.87 | [v1: $i] : ! [v2: int] : (v2 = 0 | v1 = v0 | ~
% 235.78/47.87 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) = v2) | ~
% 235.78/47.87 | $i(v1)))
% 235.78/47.87 |
% 235.78/47.87 | ALPHA: (fact_not__less0) implies:
% 235.78/47.87 | (157) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.87 | & ! [v1: $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1,
% 235.78/47.87 | v0) = 0) | ~ $i(v1)))
% 235.78/47.87 |
% 235.78/47.87 | ALPHA: (fact_gr0I) implies:
% 235.78/47.87 | (158) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.87 | & ! [v1: $i] : ! [v2: int] : (v2 = 0 | v1 = v0 | ~
% 235.78/47.87 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) = v2) | ~
% 235.78/47.87 | $i(v1)))
% 235.78/47.87 |
% 235.78/47.87 | ALPHA: (fact_nat__0__less__mult__iff) implies:
% 235.78/47.87 | (159) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.87 | & ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] : ( ~
% 235.78/47.87 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) = v3) | ~
% 235.78/47.87 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) = v4) | ~
% 235.78/47.87 | $i(v2) | ~ $i(v1) | ? [v5: $i] : ? [v6: int] : ( ~ (v6 = 0) &
% 235.78/47.87 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v1) = v5 &
% 235.78/47.87 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v5) = v6 &
% 235.78/47.87 | $i(v5)) | (v4 = 0 & v3 = 0)) & ! [v1: $i] : ! [v2: $i] : ( ~
% 235.78/47.87 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) = 0) | ~
% 235.78/47.87 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) = 0) | ~
% 235.78/47.87 | $i(v2) | ~ $i(v1) | ? [v3: $i] :
% 235.78/47.87 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v1) = v3 &
% 235.78/47.87 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) = 0 &
% 235.78/47.87 | $i(v3))))
% 235.78/47.87 |
% 235.78/47.87 | ALPHA: (fact_mult__less__cancel1) implies:
% 235.78/47.87 | (160) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.87 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.78/47.87 | $i] : ! [v6: int] : (v6 = 0 | ~
% 235.78/47.87 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) = v4) | ~
% 235.78/47.87 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v1) = v5) | ~
% 235.78/47.87 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) = v6) | ~
% 235.78/47.87 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v7: any] : ? [v8: any] :
% 235.78/47.87 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) = v8 &
% 235.78/47.87 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) = v7 & ( ~
% 235.78/47.87 | (v8 = 0) | ~ (v7 = 0)))) & ! [v1: $i] : ! [v2: $i] : !
% 235.78/47.87 | [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 235.78/47.87 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) = v4) | ~
% 235.78/47.87 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v1) = v5) | ~
% 235.78/47.87 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) = 0) | ~
% 235.78/47.87 | $i(v3) | ~ $i(v2) | ~ $i(v1) |
% 235.78/47.87 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) = 0 &
% 235.78/47.87 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) = 0)))
% 235.78/47.87 |
% 235.78/47.87 | ALPHA: (fact_mult__less__cancel2) implies:
% 235.78/47.87 | (161) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.87 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.78/47.87 | $i] : ! [v6: int] : (v6 = 0 | ~
% 235.78/47.87 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) = v4) | ~
% 235.78/47.87 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1, v2) = v5) | ~
% 235.78/47.87 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) = v6) | ~
% 235.78/47.87 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v7: any] : ? [v8: any] :
% 235.78/47.87 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v1) = v8 &
% 235.78/47.87 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) = v7 & ( ~
% 235.78/47.87 | (v8 = 0) | ~ (v7 = 0)))) & ! [v1: $i] : ! [v2: $i] : !
% 235.78/47.87 | [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 235.78/47.87 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) = v4) | ~
% 235.78/47.87 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1, v2) = v5) | ~
% 235.78/47.87 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) = 0) | ~
% 235.78/47.87 | $i(v3) | ~ $i(v2) | ~ $i(v1) |
% 235.78/47.87 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v1) = 0 &
% 235.78/47.87 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) = 0)))
% 235.78/47.87 |
% 235.78/47.87 | ALPHA: (fact_mult__less__mono1) implies:
% 235.78/47.88 | (162) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.88 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.78/47.88 | $i] : ! [v6: int] : (v6 = 0 | ~
% 235.78/47.88 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v1) = v4) | ~
% 235.78/47.88 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v1) = v5) | ~
% 235.78/47.88 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) = v6) | ~
% 235.78/47.88 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v7: any] : ? [v8: any] :
% 235.78/47.88 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v2) = v7 &
% 235.78/47.88 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) = v8 & ( ~
% 235.78/47.88 | (v8 = 0) | ~ (v7 = 0)))))
% 235.78/47.88 |
% 235.78/47.88 | ALPHA: (fact_mult__less__mono2) implies:
% 235.78/47.88 | (163) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.88 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.78/47.88 | $i] : ! [v6: int] : (v6 = 0 | ~
% 235.78/47.88 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1, v3) = v4) | ~
% 235.78/47.88 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1, v2) = v5) | ~
% 235.78/47.88 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) = v6) | ~
% 235.78/47.88 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v7: any] : ? [v8: any] :
% 235.78/47.88 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v2) = v7 &
% 235.78/47.88 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) = v8 & ( ~
% 235.78/47.88 | (v8 = 0) | ~ (v7 = 0)))))
% 235.78/47.88 |
% 235.78/47.88 | ALPHA: (fact_add__eq__self__zero) implies:
% 235.78/47.88 | (164) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.88 | & ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 235.78/47.88 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v2) | ~
% 235.78/47.88 | $i(v2) | ~ $i(v1)))
% 235.78/47.88 |
% 235.78/47.88 | ALPHA: (fact_add__is__0) implies:
% 235.78/47.88 | (165) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.88 | & ! [v1: $i] : ! [v2: $i] : ( ~
% 235.78/47.88 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v0) | ~
% 235.78/47.88 | $i(v2) | ~ $i(v1) | (v2 = v0 & v1 = v0)) & ! [v1: $i] : (v1 =
% 235.78/47.88 | v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v0) = v1)))
% 235.78/47.88 |
% 235.78/47.88 | ALPHA: (fact_Nat_Oadd__0__right) implies:
% 235.78/47.88 | (166) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.88 | & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 235.78/47.88 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~
% 235.78/47.88 | $i(v1)))
% 235.78/47.88 |
% 235.78/47.88 | ALPHA: (fact_plus__nat_Oadd__0) implies:
% 235.78/47.88 | (167) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.88 | & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 235.78/47.88 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v2) | ~
% 235.78/47.88 | $i(v1)))
% 235.78/47.88 |
% 235.78/47.88 | ALPHA: (fact_less__eq__nat_Osimps_I1_J) implies:
% 235.78/47.88 | (168) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.88 | & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 235.78/47.88 | (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v1) = v2) |
% 235.78/47.88 | ~ $i(v1)))
% 235.78/47.88 |
% 235.78/47.88 | ALPHA: (fact_le__0__eq) implies:
% 235.78/47.88 | (169) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.88 | & ! [v1: $i] : (v1 = v0 | ~
% 235.78/47.88 | (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) = 0) | ~
% 235.78/47.88 | $i(v1)) & ! [v1: int] : (v1 = 0 | ~
% 235.78/47.88 | (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v0) = v1)))
% 235.78/47.88 |
% 235.78/47.88 | ALPHA: (fact_diff__0__eq__0) implies:
% 235.78/47.88 | (170) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.88 | & ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~
% 235.78/47.88 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v2) | ~
% 235.78/47.88 | $i(v1)))
% 235.78/47.88 |
% 235.78/47.88 | ALPHA: (fact_minus__nat_Odiff__0) implies:
% 235.78/47.88 | (171) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.88 | & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 235.78/47.88 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2) | ~
% 235.78/47.88 | $i(v1)))
% 235.78/47.88 |
% 235.78/47.88 | ALPHA: (fact_diff__self__eq__0) implies:
% 235.78/47.88 | (172) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.88 | & ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~
% 235.78/47.88 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v1) = v2) | ~
% 235.78/47.88 | $i(v1)))
% 235.78/47.88 |
% 235.78/47.88 | ALPHA: (fact_diffs0__imp__equal) implies:
% 235.78/47.88 | (173) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.88 | & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 235.78/47.88 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v0) | ~
% 235.78/47.88 | $i(v2) | ~ $i(v1) | ? [v3: $i] : ( ~ (v3 = v0) &
% 235.78/47.88 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3 &
% 235.78/47.88 | $i(v3))))
% 235.78/47.88 |
% 235.78/47.88 | ALPHA: (fact_mult__eq__self__implies__10) implies:
% 235.78/47.88 | (174) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) =
% 235.78/47.88 | v0 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & $i(v1) &
% 235.78/47.88 | $i(v0) & ! [v2: $i] : ! [v3: $i] : (v3 = v1 | v2 = v0 | ~
% 235.78/47.88 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) = v3) | ~
% 235.78/47.88 | $i(v3) | ~ $i(v2)))
% 235.78/47.88 |
% 235.78/47.88 | ALPHA: (fact_gr0__conv__Suc) implies:
% 235.78/47.88 | (175) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.88 | & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 235.78/47.88 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) = v2) | ~
% 235.78/47.88 | $i(v1) | ! [v3: $i] : ( ~ (c_Nat_OSuc(v3) = v1) | ~ $i(v3))) &
% 235.78/47.88 | ! [v1: $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0,
% 235.78/47.88 | v1) = 0) | ~ $i(v1) | ? [v2: $i] : (c_Nat_OSuc(v2) = v1 &
% 235.78/47.88 | $i(v2))))
% 235.78/47.88 |
% 235.78/47.88 | ALPHA: (fact_less__Suc0) implies:
% 235.78/47.88 | (176) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 235.78/47.88 | = v0 & c_Nat_OSuc(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : (v2 =
% 235.78/47.88 | v0 | ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) = 0)
% 235.78/47.88 | | ~ $i(v2)) & ! [v2: int] : (v2 = 0 | ~
% 235.78/47.88 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) = v2)))
% 235.78/47.88 |
% 235.78/47.88 | ALPHA: (fact_less__Suc__eq__0__disj) implies:
% 235.78/47.88 | (177) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.88 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0
% 235.78/47.88 | | ~ (c_Nat_OSuc(v1) = v3) | ~
% 235.78/47.88 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3) = v4) | ~
% 235.78/47.88 | $i(v2) | ~ $i(v1) | ( ~ (v2 = v0) & ! [v5: $i] : ( ~
% 235.78/47.88 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v1) = 0) | ~
% 235.78/47.88 | $i(v5) | ? [v6: $i] : ( ~ (v6 = v2) & c_Nat_OSuc(v5) = v6 &
% 235.78/47.88 | $i(v6))))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v2
% 235.78/47.88 | = v0 | ~ (c_Nat_OSuc(v1) = v3) | ~
% 235.78/47.88 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3) = 0) | ~
% 235.78/47.88 | $i(v2) | ~ $i(v1) | ? [v4: $i] : (c_Nat_OSuc(v4) = v2 &
% 235.78/47.88 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v1) = 0 &
% 235.78/47.88 | $i(v4))))
% 235.78/47.88 |
% 235.78/47.88 | ALPHA: (fact_nat__lt__two__imp__zero__or__one) implies:
% 235.78/47.88 | (178) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 235.78/47.88 | (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & c_Nat_OSuc(v1) = v2
% 235.78/47.88 | & c_Nat_OSuc(v0) = v1 & $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] :
% 235.78/47.88 | (v3 = v1 | v3 = v0 | ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 235.78/47.88 | v3, v2) = 0) | ~ $i(v3)))
% 235.78/47.88 |
% 235.78/47.88 | ALPHA: (fact_one__less__mult) implies:
% 235.78/47.88 | (179) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 235.78/47.88 | = v0 & c_Nat_OSuc(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : !
% 235.78/47.88 | [v3: $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v3)
% 235.78/47.88 | = 0) | ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) =
% 235.78/47.88 | 0) | ~ $i(v3) | ~ $i(v2) | ? [v4: $i] :
% 235.78/47.88 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v3) = v4 &
% 235.78/47.88 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v4) = 0 &
% 235.78/47.88 | $i(v4))))
% 235.78/47.88 |
% 235.78/47.88 | ALPHA: (fact_n__less__n__mult__m) implies:
% 235.78/47.88 | (180) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 235.78/47.88 | = v0 & c_Nat_OSuc(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : !
% 235.78/47.88 | [v3: $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v3)
% 235.78/47.88 | = 0) | ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) =
% 235.78/47.88 | 0) | ~ $i(v3) | ~ $i(v2) | ? [v4: $i] :
% 235.78/47.88 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) = v4 &
% 235.78/47.88 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4) = 0 &
% 235.78/47.88 | $i(v4))))
% 235.78/47.88 |
% 235.78/47.88 | ALPHA: (fact_n__less__m__mult__n) implies:
% 235.78/47.88 | (181) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 235.78/47.88 | = v0 & c_Nat_OSuc(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : !
% 235.78/47.88 | [v3: $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v3)
% 235.78/47.88 | = 0) | ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) =
% 235.78/47.88 | 0) | ~ $i(v3) | ~ $i(v2) | ? [v4: $i] :
% 235.78/47.88 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v3) = v4 &
% 235.78/47.88 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4) = 0 &
% 235.78/47.88 | $i(v4))))
% 235.78/47.88 |
% 235.78/47.88 | ALPHA: (fact_one__is__add) implies:
% 235.78/47.88 | (182) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 235.78/47.88 | = v0 & c_Nat_OSuc(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : !
% 235.78/47.88 | [v3: $i] : ! [v4: $i] : (v4 = v1 | ~
% 235.78/47.88 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v2) = v4) | ~
% 235.78/47.88 | $i(v3) | ~ $i(v2) | (( ~ (v3 = v1) | ~ (v2 = v0)) & ( ~ (v3 =
% 235.78/47.88 | v0) | ~ (v2 = v1)))) & ! [v2: $i] : ! [v3: $i] : ( ~
% 235.78/47.88 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v2) = v1) | ~
% 235.78/47.88 | $i(v3) | ~ $i(v2) | (v3 = v1 & v2 = v0) | (v3 = v0 & v2 = v1)))
% 235.78/47.88 |
% 235.78/47.88 | ALPHA: (fact_one__le__mult__iff) implies:
% 235.78/47.88 | (183) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 235.78/47.88 | = v0 & c_Nat_OSuc(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : !
% 235.78/47.88 | [v3: $i] : ! [v4: any] : ! [v5: any] : ( ~
% 235.78/47.88 | (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v3) = v4) |
% 235.78/47.88 | ~ (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v2) = v5) |
% 235.78/47.88 | ~ $i(v3) | ~ $i(v2) | ? [v6: $i] : ? [v7: int] : ( ~ (v7 = 0)
% 235.78/47.88 | & c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) = v6 &
% 235.78/47.88 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v6) = v7 &
% 235.78/47.88 | $i(v6)) | (v5 = 0 & v4 = 0)) & ! [v2: $i] : ! [v3: $i] : ( ~
% 235.78/47.88 | (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v3) = 0) | ~
% 235.78/47.88 | (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v2) = 0) | ~
% 235.78/47.88 | $i(v3) | ~ $i(v2) | ? [v4: $i] :
% 235.78/47.88 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) = v4 &
% 235.78/47.88 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v4) = 0 &
% 235.78/47.88 | $i(v4))))
% 235.78/47.88 |
% 235.78/47.88 | ALPHA: (fact_add__gr__0) implies:
% 235.78/47.88 | (184) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.88 | & ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 = 0
% 235.78/47.88 | | v3 = 0 | ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)
% 235.78/47.88 | = v3) | ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1)
% 235.78/47.88 | = v4) | ~ $i(v2) | ~ $i(v1) | ? [v5: $i] : ? [v6: int] : (
% 235.78/47.88 | ~ (v6 = 0) & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) =
% 235.78/47.88 | v5 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v5) = v6 &
% 235.78/47.88 | $i(v5))) & ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4:
% 235.78/47.89 | any] : ( ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) =
% 235.78/47.89 | v3) | ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) =
% 235.78/47.89 | v4) | ~ $i(v2) | ~ $i(v1) | ? [v5: $i] :
% 235.78/47.89 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v5 &
% 235.78/47.89 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v5) = 0 &
% 235.78/47.89 | $i(v5)) | ( ~ (v4 = 0) & ~ (v3 = 0))))
% 235.78/47.89 |
% 235.78/47.89 | ALPHA: (fact_mult__le__cancel1) implies:
% 235.78/47.89 | (185) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.89 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.78/47.89 | $i] : ! [v6: int] : (v6 = 0 | ~
% 235.78/47.89 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) = v4) | ~
% 235.78/47.89 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v1) = v5) | ~
% 235.78/47.89 | (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5) = v6) |
% 235.78/47.89 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v7: int] : ( ~ (v7 = 0) &
% 235.78/47.89 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) = v7 &
% 235.78/47.89 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) = 0)) & !
% 235.78/47.89 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 235.78/47.89 | ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) = v4) | ~
% 235.78/47.89 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v1) = v5) | ~
% 235.78/47.89 | (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5) = 0) | ~
% 235.78/47.89 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v6: any] : ? [v7: any] :
% 235.78/47.89 | (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) = v7 &
% 235.78/47.89 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) = v6 & ( ~
% 235.78/47.89 | (v6 = 0) | v7 = 0))))
% 235.78/47.89 |
% 235.78/47.89 | ALPHA: (fact_mult__le__cancel2) implies:
% 235.78/47.89 | (186) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.89 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.78/47.89 | $i] : ! [v6: int] : (v6 = 0 | ~
% 235.78/47.89 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) = v4) | ~
% 235.78/47.89 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1, v2) = v5) | ~
% 235.78/47.89 | (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5) = v6) |
% 235.78/47.89 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v7: int] : ( ~ (v7 = 0) &
% 235.78/47.89 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v1) = v7 &
% 235.78/47.89 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) = 0)) & !
% 235.78/47.89 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 235.78/47.89 | ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) = v4) | ~
% 235.78/47.89 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1, v2) = v5) | ~
% 235.78/47.89 | (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5) = 0) | ~
% 235.78/47.89 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v6: any] : ? [v7: any] :
% 235.78/47.89 | (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v1) = v7 &
% 235.78/47.89 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) = v6 & ( ~
% 235.78/47.89 | (v6 = 0) | v7 = 0))))
% 235.78/47.89 |
% 235.78/47.89 | ALPHA: (fact_zero__less__diff) implies:
% 235.78/47.89 | (187) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.89 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 235.78/47.89 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3) | ~
% 235.78/47.89 | $i(v2) | ~ $i(v1) | ? [v4: any] : ? [v5: any] :
% 235.78/47.89 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) = v5 &
% 235.78/47.89 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) = v4 & ( ~
% 235.78/47.89 | (v4 = 0) | v5 = 0))) & ! [v1: $i] : ! [v2: $i] : ! [v3:
% 235.78/47.89 | $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) =
% 235.78/47.89 | v3) | ~ $i(v2) | ~ $i(v1) | ? [v4: any] : ? [v5: any] :
% 235.78/47.89 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) = v4 &
% 235.78/47.89 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) = v5 & ( ~
% 235.78/47.89 | (v4 = 0) | v5 = 0))))
% 235.78/47.89 |
% 235.78/47.89 | ALPHA: (fact_diff__less) implies:
% 235.78/47.89 | (188) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.89 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0
% 235.78/47.89 | | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v3) |
% 235.78/47.89 | ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v1) = v4) | ~
% 235.78/47.89 | $i(v2) | ~ $i(v1) | ? [v5: any] : ? [v6: any] :
% 235.78/47.89 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) = v5 &
% 235.78/47.89 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) = v6 & ( ~
% 235.78/47.89 | (v6 = 0) | ~ (v5 = 0)))))
% 235.78/47.89 |
% 235.78/47.89 | ALPHA: (fact_One__nat__def) implies:
% 235.78/47.89 | (189) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) =
% 235.78/47.89 | v0 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & c_Nat_OSuc(v1)
% 235.78/47.89 | = v0 & $i(v1) & $i(v0))
% 235.78/47.89 |
% 235.78/47.89 | ALPHA: (fact_diff__add__0) implies:
% 235.78/47.89 | (190) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.89 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v0
% 235.78/47.89 | | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v3) = v4) |
% 235.78/47.89 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~
% 235.78/47.89 | $i(v2) | ~ $i(v1)))
% 235.78/47.89 |
% 235.78/47.89 | ALPHA: (fact_diff__is__0__eq) implies:
% 235.78/47.89 | (191) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.89 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 235.78/47.89 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3) | ~
% 235.78/47.89 | $i(v2) | ~ $i(v1) | ? [v4: int] : ( ~ (v4 = 0) &
% 235.78/47.89 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) = v4)) &
% 235.78/47.89 | ! [v1: $i] : ! [v2: $i] : ( ~
% 235.78/47.89 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v0) | ~
% 235.78/47.89 | $i(v2) | ~ $i(v1) |
% 235.78/47.89 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) = 0))
% 235.78/47.89 |
% 235.78/47.89 | ALPHA: (fact_diff__is__0__eq_H) implies:
% 235.78/47.89 | (192) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.89 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 235.78/47.89 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3) | ~
% 235.78/47.89 | $i(v2) | ~ $i(v1) | ? [v4: int] : ( ~ (v4 = 0) &
% 235.78/47.89 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) = v4)))
% 235.78/47.89 |
% 235.78/47.89 | ALPHA: (fact_diff__Suc__less) implies:
% 235.78/47.89 | (193) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.89 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.78/47.89 | int] : (v5 = 0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,
% 235.78/47.89 | v2, v3) = v4) | ~ (c_Nat_OSuc(v1) = v3) | ~
% 235.78/47.89 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v2) = v5) | ~
% 235.78/47.89 | $i(v2) | ~ $i(v1) | ? [v6: int] : ( ~ (v6 = 0) &
% 235.78/47.89 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) = v6)))
% 235.78/47.89 |
% 235.78/47.89 | ALPHA: (fact_Suc__pred) implies:
% 235.78/47.89 | (194) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 235.78/47.89 | = v0 & c_Nat_OSuc(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : !
% 235.78/47.89 | [v3: $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1)
% 235.78/47.89 | = v3) | ~ $i(v2) | ? [v4: any] : ? [v5: $i] :
% 235.78/47.89 | (c_Nat_OSuc(v3) = v5 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 235.78/47.89 | v0, v2) = v4 & $i(v5) & ( ~ (v4 = 0) | v5 = v2))))
% 235.78/47.89 |
% 235.78/47.89 | ALPHA: (fact_nat__diff__split__asm) implies:
% 235.78/47.89 | (195) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.89 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 235.78/47.89 | $i] : ( ~ (hAPP(v3, v4) = v5) | ~
% 235.78/47.89 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v4) | ~
% 235.78/47.89 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v6: any] : ? [v7: any] : ?
% 235.78/47.89 | [v8: $i] : ? [v9: any] : (hBOOL(v8) = v9 & hBOOL(v5) = v6 &
% 235.78/47.89 | hAPP(v3, v0) = v8 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 235.78/47.89 | v2, v1) = v7 & $i(v8) & ( ~ (v6 = 0) | ( ! [v10: $i] : ( ~
% 235.78/47.89 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v10) = v2)
% 235.78/47.89 | | ~ $i(v10) | ? [v11: $i] : (hBOOL(v11) = 0 & hAPP(v3,
% 235.78/47.89 | v10) = v11 & $i(v11))) & ( ~ (v7 = 0) | v9 = 0))))) &
% 235.78/47.89 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 235.78/47.89 | : ( ~ (hAPP(v3, v4) = v5) | ~
% 235.78/47.89 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v4) | ~
% 235.78/47.89 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v6: any] : ? [v7: $i] : ?
% 235.78/47.89 | [v8: any] : ? [v9: any] : (hBOOL(v7) = v8 & hBOOL(v5) = v9 &
% 235.78/47.89 | hAPP(v3, v0) = v7 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 235.78/47.89 | v2, v1) = v6 & $i(v7) & (v9 = 0 | (v6 = 0 & ~ (v8 = 0)))) |
% 235.78/47.89 | ? [v6: $i] : ? [v7: $i] : ? [v8: int] : ( ~ (v8 = 0) &
% 235.78/47.89 | hBOOL(v7) = v8 & hAPP(v3, v6) = v7 &
% 235.78/47.89 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v6) = v2 & $i(v7)
% 235.78/47.89 | & $i(v6))))
% 235.78/47.89 |
% 235.78/47.89 | ALPHA: (fact_number__of2) implies:
% 235.78/47.89 | (196) ? [v0: $i] : ? [v1: $i] :
% 235.78/47.89 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) = 0 &
% 235.78/47.89 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 &
% 235.78/47.89 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) = v1 &
% 235.78/47.89 | $i(v1) & $i(v0))
% 235.78/47.89 |
% 235.78/47.89 | ALPHA: (fact_number__of1) implies:
% 235.78/47.89 | (197) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 235.78/47.89 | & ! [v1: $i] : ! [v2: $i] : ( ~
% 235.78/47.89 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~
% 235.78/47.89 | $i(v1) | ? [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: any]
% 235.78/47.89 | : ? [v7: $i] : ? [v8: $i] : ? [v9: any] :
% 235.78/47.89 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v8) = v9 &
% 235.78/47.89 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v5) = v6 &
% 235.78/47.89 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) = v3 &
% 235.78/47.89 | c_Int_OBit1(v1) = v7 & c_Int_OBit0(v1) = v4 &
% 235.78/47.89 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v7) = v8 &
% 235.78/47.89 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v4) = v5 & $i(v8)
% 235.78/47.89 | & $i(v7) & $i(v5) & $i(v4) & ( ~ (v3 = 0) | (v9 = 0 & v6 =
% 235.78/47.89 | 0)))))
% 235.78/47.89 |
% 235.78/47.89 | ALPHA: (fact_fact__lemma) implies:
% 235.78/47.89 | (198) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 235.78/47.89 | (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v1) = v2 &
% 235.78/47.89 | c_Int_OBit0(v0) = v1 &
% 235.78/47.89 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v4 &
% 235.78/47.89 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 235.78/47.89 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6:
% 235.78/47.89 | $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v4, v5) =
% 235.78/47.89 | v6) | ~ $i(v5) | ? [v7: $i] : ? [v8: $i] :
% 235.78/47.89 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v7, v3) = v8 &
% 235.78/47.89 | c_RealDef_Oreal(tc_Nat_Onat, v6) = v8 &
% 235.78/47.89 | c_RealDef_Oreal(tc_Nat_Onat, v5) = v7 & $i(v8) & $i(v7))))
% 235.78/47.89 |
% 235.78/47.89 | ALPHA: (fact_self__quotient__aux2) implies:
% 235.78/47.89 | (199) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) =
% 235.78/47.89 | v1 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) &
% 235.78/47.89 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: int] :
% 235.78/47.89 | (v5 = 0 | ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2,
% 235.78/47.89 | v1) = v5) | ~
% 235.78/47.89 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3) = 0) | ~
% 235.78/47.89 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v4) = 0) | ~
% 235.78/47.89 | $i(v4) | ~ $i(v3) | ~ $i(v2) | ? [v6: $i] : ? [v7: $i] : ( ~
% 235.78/47.89 | (v7 = v4) & c_Groups_Otimes__class_Otimes(tc_Int_Oint, v4, v2)
% 235.78/47.89 | = v6 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v6) = v7 &
% 235.78/47.89 | $i(v7) & $i(v6))))
% 235.78/47.89 |
% 235.78/47.89 | ALPHA: (fact_self__quotient__aux1) implies:
% 235.78/47.89 | (200) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) =
% 235.78/47.89 | v1 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) &
% 235.78/47.89 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: int] :
% 235.78/47.89 | (v5 = 0 | ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1,
% 235.78/47.89 | v2) = v5) | ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 235.78/47.89 | v3, v4) = 0) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ? [v6:
% 235.78/47.89 | any] : ? [v7: $i] : ? [v8: $i] :
% 235.78/47.89 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v4, v2) = v7 &
% 235.78/47.89 | c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v7) = v8 &
% 235.78/47.89 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v4) = v6 &
% 235.78/47.89 | $i(v8) & $i(v7) & ( ~ (v8 = v4) | ~ (v6 = 0)))))
% 235.78/47.89 |
% 235.78/47.89 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J)
% 235.78/47.89 | implies:
% 235.78/47.90 | (201) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 235.78/47.90 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3) = 0 &
% 235.78/47.90 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 &
% 235.78/47.90 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 235.78/47.90 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 & $i(v3) &
% 235.78/47.90 | $i(v2) & $i(v1) & $i(v0))
% 235.78/47.90 |
% 235.78/47.90 | ALPHA: (fact_less__2__cases) implies:
% 235.78/47.90 | (202) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 235.78/47.90 | (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v3 &
% 235.78/47.90 | c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 235.78/47.90 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 235.78/47.90 | c_Nat_OSuc(v3) = v4 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 235.78/47.90 | ! [v5: $i] : (v5 = v4 | v5 = v3 | ~
% 235.78/47.90 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v2) = 0) | ~
% 235.78/47.90 | $i(v5)))
% 235.78/47.90 |
% 235.78/47.90 | ALPHA: (fact_semiring__norm_I113_J) implies:
% 235.78/47.90 | (203) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 235.78/47.90 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = v0 &
% 235.78/47.90 | $i(v0))
% 235.78/47.90 |
% 235.78/47.90 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J)
% 235.78/47.90 | implies:
% 235.78/47.90 | (204) ? [v0: $i] : (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v0)
% 235.78/47.90 | = 0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0))
% 235.78/47.90 |
% 235.78/47.90 | ALPHA: (fact_eq__number__of__0) implies:
% 235.78/47.90 | (205) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.90 | & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 235.78/47.90 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, c_Int_OPls) =
% 235.78/47.90 | v2) | ~ $i(v1) | ? [v3: $i] : ( ~ (v3 = v0) &
% 235.78/47.90 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v3 &
% 235.78/47.90 | $i(v3))) & ! [v1: $i] : ( ~
% 235.78/47.90 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, c_Int_OPls) =
% 235.78/47.90 | 0) | ~ $i(v1) | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 235.78/47.90 | v1) = v0))
% 235.78/47.90 |
% 235.78/47.90 | ALPHA: (fact_Numeral1__eq1__nat) implies:
% 235.78/47.90 | (206) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) =
% 235.78/47.90 | v0 & c_Int_OBit1(c_Int_OPls) = v1 &
% 235.78/47.90 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v0 & $i(v1) &
% 235.78/47.90 | $i(v0))
% 235.78/47.90 |
% 235.78/47.90 | ALPHA: (fact_nat__numeral__1__eq__1) implies:
% 235.78/47.90 | (207) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) =
% 235.78/47.90 | v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 235.78/47.90 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1 & $i(v1) &
% 235.78/47.90 | $i(v0))
% 235.78/47.90 |
% 235.78/47.90 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J)
% 235.78/47.90 | implies:
% 235.78/47.90 | (208) ? [v0: $i] : ? [v1: $i] :
% 235.78/47.90 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) = 0 &
% 235.78/47.90 | c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 &
% 235.78/47.90 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0))
% 235.78/47.90 |
% 235.78/47.90 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J)
% 235.78/47.90 | implies:
% 235.78/47.90 | (209) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 235.78/47.90 | & ! [v1: $i] : ! [v2: $i] : ( ~
% 235.78/47.90 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) = 0) | ~
% 235.78/47.90 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) = 0) | ~
% 235.78/47.90 | $i(v2) | ~ $i(v1) | ? [v3: $i] :
% 235.78/47.90 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3) = 0 &
% 235.78/47.90 | c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v3 &
% 235.78/47.90 | $i(v3))))
% 235.78/47.90 |
% 235.78/47.90 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J)
% 235.78/47.90 | implies:
% 235.78/47.90 | (210) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 235.78/47.90 | & ! [v1: $i] : ! [v2: $i] : ( ~
% 235.78/47.90 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) = 0) | ~
% 235.78/47.90 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) = 0) | ~
% 235.78/47.90 | $i(v2) | ~ $i(v1) | ? [v3: $i] :
% 235.78/47.90 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v2, v1) = v3 &
% 235.78/47.90 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3) = 0 &
% 235.78/47.90 | $i(v3))))
% 235.78/47.90 |
% 235.78/47.90 | ALPHA: (fact_semiring__norm_I110_J) implies:
% 235.78/47.90 | (211) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 235.78/47.90 | ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) |
% 235.78/47.90 | ~ $i(v1) | ? [v3: any] : ? [v4: $i] :
% 235.78/47.90 | (class_Int_Onumber__ring(v1) = v3 & c_Groups_Oone__class_Oone(v1)
% 235.78/47.90 | = v4 & $i(v4) & ( ~ (v3 = 0) | v4 = v2))))
% 235.78/47.90 |
% 235.78/47.90 | ALPHA: (fact_numeral__1__eq__Suc__0) implies:
% 235.78/47.90 | (212) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 235.78/47.90 | (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v2 &
% 235.78/47.90 | c_Int_OBit1(c_Int_OPls) = v0 &
% 235.78/47.90 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1 &
% 235.78/47.90 | c_Nat_OSuc(v2) = v1 & $i(v2) & $i(v1) & $i(v0))
% 235.78/47.90 |
% 235.78/47.90 | ALPHA: (fact_numeral__3__eq__3) implies:
% 235.78/47.90 | (213) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 235.78/47.90 | ? [v5: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v3 &
% 235.78/47.90 | c_Int_OBit1(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 235.78/47.90 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 235.78/47.90 | c_Nat_OSuc(v5) = v2 & c_Nat_OSuc(v4) = v5 & c_Nat_OSuc(v3) = v4 &
% 235.78/47.90 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 235.78/47.90 |
% 235.78/47.90 | ALPHA: (fact_Suc3__eq__add__3) implies:
% 235.78/47.90 | (214) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(v0) = v1 &
% 235.78/47.90 | c_Int_OBit1(c_Int_OPls) = v0 &
% 235.78/47.90 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 235.78/47.90 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 235.78/47.90 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v3) = v4) | ~
% 235.78/47.90 | $i(v3) | ? [v5: $i] : ? [v6: $i] : (c_Nat_OSuc(v6) = v4 &
% 235.78/47.90 | c_Nat_OSuc(v5) = v6 & c_Nat_OSuc(v3) = v5 & $i(v6) & $i(v5) &
% 235.78/47.90 | $i(v4))))
% 235.78/47.90 |
% 235.78/47.90 | ALPHA: (fact_less__0__number__of) implies:
% 235.78/47.90 | (215) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 235.78/47.90 | & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 235.78/47.90 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v1) = v2)
% 235.78/47.90 | | ~ $i(v1) | ? [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) &
% 235.78/47.90 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v3 &
% 235.78/47.90 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) = v4 &
% 235.78/47.90 | $i(v3))) & ! [v1: $i] : ( ~
% 235.78/47.90 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v1) = 0)
% 235.78/47.90 | | ~ $i(v1) | ? [v2: $i] :
% 235.78/47.90 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 235.78/47.90 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) = 0 &
% 235.78/47.90 | $i(v2))))
% 235.78/47.90 |
% 235.78/47.90 | ALPHA: (fact_real__mult__inverse__cancel) implies:
% 235.78/47.90 | (216) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.78/47.90 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 235.78/47.90 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: int] :
% 235.78/47.90 | (v9 = 0 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v7,
% 235.78/47.90 | v1) = v8) | ~
% 235.78/47.90 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v5, v2) = v6) |
% 235.78/47.90 | ~ (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v4) = v5) |
% 235.78/47.90 | ~ (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v3) = v7)
% 235.78/47.90 | | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v8) =
% 235.78/47.90 | v9) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v10:
% 235.78/47.90 | any] : ? [v11: any] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 235.78/47.90 | any] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v4, v1)
% 235.78/47.90 | = v13 & c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v2)
% 235.78/47.90 | = v12 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12,
% 235.78/47.90 | v13) = v14 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 235.78/47.90 | v0, v4) = v10 &
% 235.78/47.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = v11 &
% 235.78/47.90 | $i(v13) & $i(v12) & ( ~ (v14 = 0) | ~ (v11 = 0) | ~ (v10 =
% 235.78/47.90 | 0)))))
% 235.78/47.90 |
% 235.78/47.90 | ALPHA: (fact_real__mult__inverse__cancel2) implies:
% 235.78/47.90 | (217) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 235.78/47.90 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 235.78/47.90 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: int] :
% 235.78/47.90 | (v9 = 0 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2,
% 235.78/47.90 | v5) = v6) | ~
% 235.78/47.90 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v7) = v8) |
% 235.78/47.90 | ~ (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v4) = v5) |
% 235.78/47.90 | ~ (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v3) = v7)
% 235.78/47.90 | | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v8) =
% 235.78/47.90 | v9) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v10:
% 235.78/47.90 | any] : ? [v11: any] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 235.78/47.90 | any] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v4, v1)
% 235.78/47.90 | = v13 & c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v2)
% 235.78/47.90 | = v12 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12,
% 235.78/47.90 | v13) = v14 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 235.78/47.90 | v0, v4) = v10 &
% 235.78/47.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = v11 &
% 235.78/47.90 | $i(v13) & $i(v12) & ( ~ (v14 = 0) | ~ (v11 = 0) | ~ (v10 =
% 235.78/47.90 | 0)))))
% 235.78/47.90 |
% 235.78/47.90 | ALPHA: (fact_semiring__norm_I115_J) implies:
% 235.78/47.90 | (218) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 235.78/47.90 | (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 235.78/47.90 | c_Int_OBit1(c_Int_OPls) = v3 & c_Int_OBit0(v3) = v4 &
% 235.78/47.90 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v4) = v2 &
% 235.78/47.90 | c_Nat_OSuc(v1) = v2 & c_Nat_OSuc(v0) = v1 & $i(v4) & $i(v3) &
% 235.78/47.90 | $i(v2) & $i(v1) & $i(v0))
% 235.78/47.90 |
% 235.78/47.90 | ALPHA: (fact_numeral__2__eq__2) implies:
% 235.78/47.90 | (219) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 235.78/47.90 | (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v3 &
% 235.78/47.90 | c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 235.78/47.90 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 235.78/47.90 | c_Nat_OSuc(v4) = v2 & c_Nat_OSuc(v3) = v4 & $i(v4) & $i(v3) &
% 235.78/47.90 | $i(v2) & $i(v1) & $i(v0))
% 235.78/47.90 |
% 235.78/47.90 | ALPHA: (fact_add__2__eq__Suc_H) implies:
% 235.78/47.90 | (220) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 235.78/47.90 | v0 & c_Int_OBit0(v0) = v1 &
% 235.78/47.90 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 235.78/47.90 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 235.78/47.90 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v2) = v4) | ~
% 235.78/47.90 | $i(v3) | ? [v5: $i] : (c_Nat_OSuc(v5) = v4 & c_Nat_OSuc(v3) = v5
% 235.78/47.90 | & $i(v5) & $i(v4))))
% 235.78/47.90 |
% 235.78/47.90 | ALPHA: (fact_add__2__eq__Suc) implies:
% 235.78/47.90 | (221) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 235.78/47.90 | v0 & c_Int_OBit0(v0) = v1 &
% 235.78/47.90 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 235.78/47.90 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 235.78/47.90 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v3) = v4) | ~
% 235.78/47.90 | $i(v3) | ? [v5: $i] : (c_Nat_OSuc(v5) = v4 & c_Nat_OSuc(v3) = v5
% 235.78/47.90 | & $i(v5) & $i(v4))))
% 235.78/47.90 |
% 235.78/47.90 | ALPHA: (fact_Suc__diff__eq__diff__pred) implies:
% 235.78/47.90 | (222) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 235.78/47.90 | v1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 235.78/47.90 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = v0 &
% 235.78/47.90 | $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 235.78/47.90 | : ! [v6: $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v4,
% 235.78/47.90 | v2) = v5) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,
% 235.78/47.90 | v3, v5) = v6) | ~ $i(v4) | ~ $i(v3) | ? [v7: any] : ?
% 235.78/47.90 | [v8: $i] : ? [v9: $i] :
% 235.78/47.90 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v8, v4) = v9 &
% 235.78/47.90 | c_Nat_OSuc(v3) = v8 &
% 235.78/47.90 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v4) = v7 &
% 235.78/47.90 | $i(v9) & $i(v8) & ( ~ (v7 = 0) | v9 = v6))))
% 235.78/47.90 |
% 235.78/47.90 | ALPHA: (fact_nat__mult__2__right) implies:
% 235.78/47.91 | (223) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 235.78/47.91 | v0 & c_Int_OBit0(v0) = v1 &
% 235.78/47.91 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 235.78/47.91 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 235.78/47.91 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) = v4) | ~
% 235.78/47.91 | $i(v3) | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v3) = v4 &
% 235.78/47.91 | $i(v4))))
% 235.78/47.91 |
% 235.78/47.91 | ALPHA: (fact_nat__mult__2) implies:
% 235.78/47.91 | (224) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 235.78/47.91 | v0 & c_Int_OBit0(v0) = v1 &
% 235.78/47.91 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 235.78/47.91 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 235.78/47.91 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v3) = v4) | ~
% 235.78/47.91 | $i(v3) | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v3) = v4 &
% 235.78/47.91 | $i(v4))))
% 235.78/47.91 |
% 235.78/47.91 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J)
% 235.78/47.91 | implies:
% 235.78/47.91 | (225) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 235.78/47.91 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3) = 0 &
% 235.78/47.91 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & c_Int_OBit1(v1) =
% 235.78/47.91 | v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 235.78/47.91 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 & $i(v3) &
% 235.78/47.91 | $i(v2) & $i(v1) & $i(v0))
% 235.78/47.91 |
% 235.78/47.91 | ALPHA: (fact_nat__1__add__1) implies:
% 235.78/47.91 | (226) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 235.78/47.91 | (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 235.78/47.91 | c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 &
% 235.78/47.91 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v1 &
% 235.78/47.91 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v0) = v1 & $i(v3) &
% 235.78/47.91 | $i(v2) & $i(v1) & $i(v0))
% 235.78/47.91 |
% 235.78/47.91 | ALPHA: (fact_Suc__pred_H) implies:
% 235.78/47.91 | (227) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) =
% 235.78/47.91 | v1 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v1) &
% 235.78/47.91 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~
% 235.78/47.91 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3) | ~
% 235.78/47.91 | $i(v2) | ? [v4: any] : ? [v5: $i] : (c_Nat_OSuc(v3) = v5 &
% 235.78/47.91 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) = v4 &
% 235.78/47.91 | $i(v5) & ( ~ (v4 = 0) | v5 = v2))))
% 235.78/47.91 |
% 235.78/47.91 | ALPHA: (fact_expand__Suc) implies:
% 235.78/47.91 | (228) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) =
% 235.78/47.91 | v1 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v1) &
% 235.78/47.91 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~
% 235.78/47.91 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3) | ~
% 235.78/47.91 | $i(v2) | ? [v4: any] : ? [v5: $i] : ? [v6: $i] :
% 235.78/47.91 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1) = v5 &
% 235.78/47.91 | c_Nat_OSuc(v5) = v6 &
% 235.78/47.91 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) = v4 &
% 235.78/47.91 | $i(v6) & $i(v5) & ( ~ (v4 = 0) | v6 = v3))))
% 235.78/47.91 |
% 235.78/47.91 | ALPHA: (fact_nat__number__of__mult__left) implies:
% 236.63/47.91 | (229) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 236.63/47.91 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 236.63/47.91 | $i] : ! [v6: $i] : ! [v7: $i] : (v7 = v0 | ~
% 236.63/47.91 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v5, v1) = v6) | ~
% 236.63/47.91 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v4, v6) = v7) | ~
% 236.63/47.91 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v4) | ~
% 236.63/47.91 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v5) | ~
% 236.63/47.91 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v8: int] : ( ~ (v8 = 0) &
% 236.63/47.91 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, c_Int_OPls) =
% 236.63/47.91 | v8)) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 236.63/47.91 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 236.63/47.91 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v5, v1) = v6) | ~
% 236.63/47.91 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v4, v6) = v7) | ~
% 236.63/47.91 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v4) | ~
% 236.63/47.91 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v5) | ~
% 236.63/47.91 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v8: any] : ? [v9: $i] : ?
% 236.63/47.91 | [v10: $i] : ? [v11: $i] :
% 236.63/47.91 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v3, v2) = v9 &
% 236.63/47.91 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v10, v1) = v11 &
% 236.63/47.91 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v9) = v10 &
% 236.63/47.91 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, c_Int_OPls) = v8
% 236.63/47.91 | & $i(v11) & $i(v10) & $i(v9) & (v11 = v7 | v8 = 0))))
% 236.63/47.91 |
% 236.63/47.91 | ALPHA: (fact_mult__nat__number__of) implies:
% 236.63/47.91 | (230) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 236.63/47.91 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 236.63/47.91 | $i] : (v5 = v0 | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat,
% 236.63/47.91 | v3, v4) = v5) | ~
% 236.63/47.91 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3) | ~
% 236.63/47.91 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v4) | ~
% 236.63/47.91 | $i(v2) | ~ $i(v1) | ? [v6: int] : ( ~ (v6 = 0) &
% 236.63/47.91 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, c_Int_OPls) =
% 236.63/47.91 | v6)) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 236.63/47.91 | ! [v5: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3,
% 236.63/47.91 | v4) = v5) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 236.63/47.91 | v2) = v3) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 236.63/47.91 | v1) = v4) | ~ $i(v2) | ~ $i(v1) | ? [v6: any] : ? [v7:
% 236.63/47.91 | $i] : ? [v8: $i] : (c_Groups_Otimes__class_Otimes(tc_Int_Oint,
% 236.63/47.91 | v2, v1) = v7 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 236.63/47.91 | v7) = v8 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v2,
% 236.63/47.91 | c_Int_OPls) = v6 & $i(v8) & $i(v7) & (v8 = v5 | v6 = 0))))
% 236.63/47.91 |
% 236.63/47.91 | ALPHA: (fact_add__eq__if) implies:
% 236.63/47.91 | (231) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) =
% 236.63/47.91 | v1 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v1) &
% 236.63/47.91 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 236.63/47.91 | (v3 = v0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1) =
% 236.63/47.91 | v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v4, v2) =
% 236.63/47.91 | v5) | ~ $i(v3) | ~ $i(v2) | ? [v6: $i] :
% 236.63/47.91 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v2) = v6 &
% 236.63/47.91 | c_Nat_OSuc(v5) = v6 & $i(v6))) & ! [v2: $i] : ! [v3: $i] :
% 236.63/47.91 | (v3 = v2 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v2) =
% 236.63/47.91 | v3) | ~ $i(v2)))
% 236.63/47.91 |
% 236.63/47.91 | ALPHA: (fact_zdiv__mono2__neg__lemma) implies:
% 236.63/47.91 | (232) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 236.63/47.91 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 236.63/47.91 | $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 236.63/47.91 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v6, v5) = v7) | ~
% 236.63/47.91 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v3, v2) = v9) | ~
% 236.63/47.91 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v9, v1) = v8) | ~
% 236.63/47.91 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v4) = v8) | ~
% 236.63/47.91 | $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 236.63/47.91 | $i(v1) | ? [v10: any] : ? [v11: any] : ? [v12: any] : ? [v13:
% 236.63/47.91 | any] : ? [v14: any] : ? [v15: any] :
% 236.63/47.91 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v6) = v14 &
% 236.63/47.91 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v5) = v15 &
% 236.63/47.91 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) = v12 &
% 236.63/47.91 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v8, v0) = v10 &
% 236.63/47.91 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v6) = v11 &
% 236.63/47.91 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) = v13 & ( ~
% 236.63/47.91 | (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~
% 236.63/47.91 | (v10 = 0) | v15 = 0))))
% 236.63/47.91 |
% 236.63/47.91 | ALPHA: (fact_unique__quotient__lemma__neg) implies:
% 236.63/47.91 | (233) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 236.63/47.91 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 236.63/47.91 | $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 236.63/47.91 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v5, v4) = v6) | ~
% 236.63/47.91 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v5, v2) = v8) | ~
% 236.63/47.91 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v7, v9) = 0) | ~
% 236.63/47.91 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v8, v1) = v9) | ~
% 236.63/47.91 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v6, v3) = v7) | ~
% 236.63/47.91 | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v10:
% 236.63/47.91 | any] : ? [v11: any] : ? [v12: any] : ? [v13: any] :
% 236.63/47.91 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v4) = v13 &
% 236.63/47.91 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) = v10 &
% 236.63/47.91 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v5, v3) = v12 &
% 236.63/47.91 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v5, v1) = v11 & ( ~
% 236.63/47.91 | (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | v13 = 0))))
% 236.63/47.91 |
% 236.63/47.91 | ALPHA: (fact_zdiv__mono2__lemma) implies:
% 236.63/47.91 | (234) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 236.63/47.91 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 236.63/47.91 | $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 236.63/47.91 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v6, v5) = v7) | ~
% 236.63/47.91 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v3, v2) = v9) | ~
% 236.63/47.91 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v9, v1) = v8) | ~
% 236.63/47.91 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v4) = v8) | ~
% 236.63/47.91 | $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 236.63/47.91 | $i(v1) | ? [v10: any] : ? [v11: any] : ? [v12: any] : ? [v13:
% 236.63/47.91 | any] : ? [v14: any] : ? [v15: any] :
% 236.63/47.91 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v5, v2) = v15 &
% 236.63/47.91 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v6) = v14 &
% 236.63/47.91 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v8) = v10 &
% 236.63/47.91 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v4) = v12 &
% 236.63/47.91 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v3) = v11 &
% 236.63/47.91 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) = v13 & ( ~
% 236.63/47.91 | (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~
% 236.63/47.91 | (v10 = 0) | v15 = 0))))
% 236.63/47.91 |
% 236.63/47.91 | ALPHA: (fact_unique__quotient__lemma) implies:
% 236.63/47.91 | (235) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 236.63/47.91 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 236.63/47.91 | $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 236.63/47.91 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v5, v4) = v6) | ~
% 236.63/47.91 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v5, v2) = v8) | ~
% 236.63/47.91 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v7, v9) = 0) | ~
% 236.63/47.91 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v8, v1) = v9) | ~
% 236.63/47.91 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v6, v3) = v7) | ~
% 236.63/47.91 | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v10:
% 236.63/47.91 | any] : ? [v11: any] : ? [v12: any] : ? [v13: any] :
% 236.63/47.91 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v4, v2) = v13 &
% 236.63/47.91 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3) = v10 &
% 236.63/47.91 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v5) = v11 &
% 236.63/47.91 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v5) = v12 & ( ~
% 236.63/47.91 | (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | v13 = 0))))
% 236.63/47.91 |
% 236.63/47.91 | ALPHA: (fact_q__neg__lemma) implies:
% 236.63/47.91 | (236) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 236.63/47.91 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 236.63/47.91 | $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v3, v2) =
% 236.63/47.91 | v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, v1) =
% 236.63/47.91 | v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v6: any] : ?
% 236.63/47.91 | [v7: any] : ? [v8: any] : ? [v9: any] :
% 236.63/47.91 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0) = v9 &
% 236.63/47.91 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) = v7 &
% 236.63/47.91 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v5, v0) = v6 &
% 236.63/47.91 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) = v8 & ( ~
% 236.63/47.91 | (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0))))
% 236.63/47.91 |
% 236.63/47.91 | ALPHA: (fact_q__pos__lemma) implies:
% 236.63/47.91 | (237) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 236.63/47.91 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 236.63/47.91 | $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v3, v2) =
% 236.63/47.91 | v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, v1) =
% 236.63/47.91 | v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v6: any] : ?
% 236.63/47.91 | [v7: any] : ? [v8: any] : ? [v9: any] :
% 236.63/47.91 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v5) = v6 &
% 236.63/47.91 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) = v9 &
% 236.63/47.91 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v3) = v7 &
% 236.63/47.91 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) = v8 & ( ~
% 236.63/47.91 | (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0))))
% 236.63/47.91 |
% 236.63/47.91 | ALPHA: (fact_mult__eq__if) implies:
% 236.63/47.92 | (238) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) =
% 236.65/47.92 | v1 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v1) &
% 236.65/47.92 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 236.65/47.92 | [v6: $i] : (v3 = v0 | ~
% 236.65/47.92 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v4, v2) = v5) | ~
% 236.65/47.92 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1) = v4) | ~
% 236.65/47.92 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v5) = v6) | ~
% 236.65/47.92 | $i(v3) | ~ $i(v2) | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat,
% 236.65/47.92 | v3, v2) = v6 & $i(v6))) & ! [v2: $i] : ! [v3: $i] : (v3 =
% 236.65/47.92 | v0 | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0, v2) = v3)
% 236.65/47.92 | | ~ $i(v2)))
% 236.65/47.92 |
% 236.65/47.92 | ALPHA: (fact_pos2) implies:
% 236.65/47.92 | (239) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 236.65/47.92 | (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 236.65/47.92 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 236.65/47.92 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 &
% 236.65/47.92 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) = 0 & $i(v3) &
% 236.65/47.92 | $i(v2) & $i(v1) & $i(v0))
% 236.65/47.92 |
% 236.65/47.92 | ALPHA: (fact_nat__mult__eq__cancel__disj) implies:
% 236.65/47.92 | (240) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 236.65/47.92 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 236.65/47.92 | $i] : (v5 = v4 | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat,
% 236.65/47.92 | v3, v2) = v4) | ~
% 236.65/47.92 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v1) = v5) | ~
% 236.65/47.92 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ( ~ (v3 = v0) & ~ (v2 = v1))) &
% 236.65/47.92 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v0 |
% 236.65/47.92 | v2 = v1 | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2)
% 236.65/47.92 | = v4) | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v1)
% 236.65/47.92 | = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1)))
% 236.65/47.92 |
% 236.65/47.92 | ALPHA: (fact_not__real__square__gt__zero) implies:
% 236.65/47.92 | (241) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 236.65/47.92 | $i(v0) & ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 236.65/47.92 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v1) = v2) |
% 236.65/47.92 | ~ $i(v1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 236.65/47.92 | v2) = 0) & ! [v1: $i] : ( ~
% 236.65/47.92 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0, v0) = v1) |
% 236.65/47.92 | ? [v2: int] : ( ~ (v2 = 0) &
% 236.65/47.92 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) = v2)))
% 236.65/47.92 |
% 236.65/47.92 | ALPHA: (fact_nat__mult__eq__cancel1) implies:
% 236.65/47.92 | (242) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 236.65/47.92 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 236.65/47.92 | $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) =
% 236.65/47.92 | v4) | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v1) =
% 236.65/47.92 | v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v6: int] : ( ~
% 236.65/47.92 | (v6 = 0) & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) =
% 236.65/47.92 | v6) | (( ~ (v5 = v4) | v2 = v1) & ( ~ (v2 = v1) | v5 = v4))))
% 236.65/47.92 |
% 236.65/47.92 | ALPHA: (fact_nat__mult__less__cancel1) implies:
% 236.65/47.92 | (243) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 236.65/47.92 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 236.65/47.92 | $i] : ! [v6: any] : ( ~
% 236.65/47.92 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) = v4) | ~
% 236.65/47.92 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v1) = v5) | ~
% 236.65/47.92 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) = v6) | ~
% 236.65/47.92 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v7: any] : ? [v8: any] :
% 236.65/47.92 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) = v8 &
% 236.65/47.92 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) = v7 & ( ~
% 236.65/47.92 | (v7 = 0) | (( ~ (v8 = 0) | v6 = 0) & ( ~ (v6 = 0) | v8 =
% 236.65/47.92 | 0))))))
% 236.65/47.92 |
% 236.65/47.92 | ALPHA: (fact_nat__mult__le__cancel1) implies:
% 236.65/47.92 | (244) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 236.65/47.92 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 236.65/47.92 | $i] : ! [v6: any] : ( ~
% 236.65/47.92 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v2) = v4) | ~
% 236.65/47.92 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v1) = v5) | ~
% 236.65/47.92 | (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5) = v6) |
% 236.65/47.92 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v7: any] : ? [v8: any] :
% 236.65/47.92 | (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) = v8 &
% 236.65/47.92 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) = v7 & ( ~
% 236.65/47.92 | (v7 = 0) | (( ~ (v8 = 0) | v6 = 0) & ( ~ (v6 = 0) | v8 =
% 236.65/47.92 | 0))))))
% 236.65/47.92 |
% 236.65/47.92 | ALPHA: (arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero)
% 236.65/47.92 | implies:
% 236.65/47.92 | (245) class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) = 0
% 236.65/47.92 |
% 236.65/47.92 | ALPHA: (arity_RealDef__Oreal__Fields_Ofield__inverse__zero) implies:
% 236.65/47.92 | (246) class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) = 0
% 236.65/47.92 |
% 236.65/47.92 | ALPHA: (arity_RealDef__Oreal__Rings_Olinordered__idom) implies:
% 236.65/47.92 | (247) class_Rings_Olinordered__idom(tc_RealDef_Oreal) = 0
% 236.65/47.92 |
% 236.65/47.92 | ALPHA: (arity_RealDef__Oreal__Fields_Ofield) implies:
% 236.65/47.92 | (248) class_Fields_Ofield(tc_RealDef_Oreal) = 0
% 236.65/47.92 |
% 236.65/47.92 | ALPHA: (arity_RealDef__Oreal__Int_Onumber) implies:
% 236.65/47.92 | (249) class_Int_Onumber(tc_RealDef_Oreal) = 0
% 236.65/47.92 |
% 236.65/47.92 | ALPHA: (arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) implies:
% 236.65/47.92 | (250) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = 0
% 236.65/47.92 |
% 236.65/47.92 | ALPHA: (arity_Complex__Ocomplex__Rings_Ozero__neq__one) implies:
% 236.65/47.92 | (251) class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) = 0
% 236.65/47.92 |
% 236.65/47.92 | ALPHA: (conj_0) implies:
% 236.65/47.92 | (252) $i(tc_RealDef_Oreal)
% 236.65/47.92 | (253) $i(tc_Complex_Ocomplex)
% 236.65/47.92 | (254) $i(v_s____)
% 236.65/47.92 | (255) $i(v_N2____)
% 236.65/47.92 | (256) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 236.65/47.92 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 236.65/47.92 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 236.65/47.92 | int] : ( ~ (v14 = 0) & c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 236.65/47.92 | = v0 & c_Int_OBit1(c_Int_OPls) = v10 & c_Int_OBit0(v10) = v11 &
% 236.65/47.92 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v11) = v12 &
% 236.65/47.92 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = v5 &
% 236.65/47.92 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6 &
% 236.65/47.92 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v7 &
% 236.65/47.92 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v6, v7) = v8 &
% 236.65/47.92 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v8) = v9 &
% 236.65/47.92 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v9, v12) = v13 &
% 236.65/47.92 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, v3) = v4 &
% 236.65/47.92 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) = v1 &
% 236.65/47.92 | c_Nat_OSuc(v1) = v2 & c_RealDef_Oreal(tc_Nat_Onat, v2) = v3 &
% 236.65/47.92 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v13) = v14 &
% 236.65/47.92 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 236.65/47.92 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 236.65/47.92 |
% 236.65/47.92 | ALPHA: (function-axioms) implies:
% 236.65/47.92 | (257) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 236.65/47.92 | (c_Nat_OSuc(v2) = v1) | ~ (c_Nat_OSuc(v2) = v0))
% 236.65/47.92 | (258) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 236.65/47.92 | (c_Int_OBit0(v2) = v1) | ~ (c_Int_OBit0(v2) = v0))
% 236.65/47.92 | (259) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 236.65/47.92 | (c_Int_OBit1(v2) = v1) | ~ (c_Int_OBit1(v2) = v0))
% 236.65/47.92 | (260) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 236.65/47.92 | (c_Groups_Ozero__class_Ozero(v2) = v1) | ~
% 236.65/47.92 | (c_Groups_Ozero__class_Ozero(v2) = v0))
% 236.65/47.92 | (261) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 236.65/47.92 | (c_Groups_Oone__class_Oone(v2) = v1) | ~
% 236.65/47.92 | (c_Groups_Oone__class_Oone(v2) = v0))
% 236.65/47.92 | (262) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (v_g____(v2)
% 236.65/47.92 | = v1) | ~ (v_g____(v2) = v0))
% 236.65/47.92 | (263) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 236.65/47.92 | : (v1 = v0 | ~ (class_RealVector_Oreal__normed__vector(v2) = v1) |
% 236.65/47.92 | ~ (class_RealVector_Oreal__normed__vector(v2) = v0))
% 236.65/47.92 | (264) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 236.65/47.92 | : (v1 = v0 | ~ (class_Int_Onumber(v2) = v1) | ~
% 236.65/47.92 | (class_Int_Onumber(v2) = v0))
% 236.65/47.92 | (265) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 236.65/47.92 | : (v1 = v0 | ~ (class_Fields_Ofield(v2) = v1) | ~
% 236.65/47.92 | (class_Fields_Ofield(v2) = v0))
% 236.65/47.92 | (266) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 236.65/47.92 | : (v1 = v0 | ~ (class_Fields_Ofield__inverse__zero(v2) = v1) | ~
% 236.65/47.92 | (class_Fields_Ofield__inverse__zero(v2) = v0))
% 236.65/47.92 | (267) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 236.65/47.92 | : (v1 = v0 | ~ (class_Fields_Olinordered__field__inverse__zero(v2) =
% 236.65/47.92 | v1) | ~ (class_Fields_Olinordered__field__inverse__zero(v2) =
% 236.65/47.92 | v0))
% 236.65/47.92 | (268) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 236.65/47.92 | (c_RealDef_Oreal(v3, v2) = v1) | ~ (c_RealDef_Oreal(v3, v2) = v0))
% 236.65/47.92 | (269) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 236.65/47.92 | (c_Groups_Oabs__class_Oabs(v3, v2) = v1) | ~
% 236.65/47.92 | (c_Groups_Oabs__class_Oabs(v3, v2) = v0))
% 236.65/47.93 | (270) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 236.65/47.93 | (c_Groups_Ouminus__class_Ouminus(v3, v2) = v1) | ~
% 236.65/47.93 | (c_Groups_Ouminus__class_Ouminus(v3, v2) = v0))
% 236.65/47.93 | (271) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 236.65/47.93 | (c_RealVector_Onorm__class_Onorm(v3, v2) = v1) | ~
% 236.65/47.93 | (c_RealVector_Onorm__class_Onorm(v3, v2) = v0))
% 236.65/47.93 | (272) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 236.65/47.93 | (c_Int_Onumber__class_Onumber__of(v3, v2) = v1) | ~
% 236.65/47.93 | (c_Int_Onumber__class_Onumber__of(v3, v2) = v0))
% 236.65/47.93 | (273) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 236.65/47.93 | (c_Rings_Oinverse__class_Oinverse(v3, v2) = v1) | ~
% 236.65/47.93 | (c_Rings_Oinverse__class_Oinverse(v3, v2) = v0))
% 236.65/47.93 | (274) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 236.65/47.93 | (hAPP(v3, v2) = v1) | ~ (hAPP(v3, v2) = v0))
% 236.65/47.93 | (275) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 236.65/47.93 | : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 236.65/47.93 | (c_Orderings_Oord__class_Oless(v4, v3, v2) = v1) | ~
% 236.65/47.93 | (c_Orderings_Oord__class_Oless(v4, v3, v2) = v0))
% 236.65/47.93 | (276) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 236.65/47.93 | (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v1) | ~
% 236.65/47.93 | (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v0))
% 236.65/47.93 | (277) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 236.65/47.93 | (v1 = v0 | ~ (c_Rings_Oinverse__class_Odivide(v4, v3, v2) = v1) | ~
% 236.65/47.93 | (c_Rings_Oinverse__class_Odivide(v4, v3, v2) = v0))
% 236.65/47.93 | (278) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 236.65/47.93 | (v1 = v0 | ~ (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v1) | ~
% 236.65/47.93 | (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v0))
% 236.65/47.93 | (279) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 236.65/47.93 | (v1 = v0 | ~ (c_Polynomial_Opoly(v4, v3, v2) = v1) | ~
% 236.65/47.93 | (c_Polynomial_Opoly(v4, v3, v2) = v0))
% 236.65/47.93 |
% 236.65/47.93 | DELTA: instantiating (21) with fresh symbol all_854_0 gives:
% 236.65/47.93 | (280) ~ (all_854_0 = 0) & c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 236.65/47.93 | c_Int_OPls, c_Int_OPls) = all_854_0
% 236.65/47.93 |
% 236.65/47.93 | ALPHA: (280) implies:
% 236.65/47.93 | (281) c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OPls) =
% 236.65/47.93 | all_854_0
% 236.65/47.93 |
% 236.65/47.93 | DELTA: instantiating (15) with fresh symbol all_892_0 gives:
% 236.65/47.93 | (282) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_892_0 &
% 236.65/47.93 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0, v_d____) =
% 236.65/47.93 | 0 & $i(all_892_0)
% 236.65/47.93 |
% 236.65/47.93 | ALPHA: (282) implies:
% 236.65/47.93 | (283) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_892_0
% 236.65/47.93 |
% 236.65/47.93 | DELTA: instantiating (204) with fresh symbol all_894_0 gives:
% 236.65/47.93 | (284) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_894_0, all_894_0)
% 236.65/47.93 | = 0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_894_0 &
% 236.65/47.93 | $i(all_894_0)
% 236.65/47.93 |
% 236.65/47.93 | ALPHA: (284) implies:
% 236.65/47.93 | (285) $i(all_894_0)
% 236.65/47.93 | (286) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_894_0
% 236.65/47.93 | (287) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_894_0, all_894_0)
% 236.65/47.93 | = 0
% 236.65/47.93 |
% 236.65/47.93 | DELTA: instantiating (47) with fresh symbol all_896_0 gives:
% 236.65/47.93 | (288) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_896_0, v_r) =
% 236.65/47.93 | 0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_896_0 &
% 236.65/47.93 | $i(all_896_0)
% 236.65/47.93 |
% 236.65/47.93 | ALPHA: (288) implies:
% 236.65/47.93 | (289) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_896_0
% 236.65/47.93 |
% 236.65/47.93 | DELTA: instantiating (45) with fresh symbol all_898_0 gives:
% 236.65/47.93 | (290) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_898_0,
% 236.65/47.93 | all_898_0) = 0 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) =
% 236.65/47.93 | all_898_0 & $i(all_898_0)
% 236.65/47.93 |
% 236.65/47.93 | ALPHA: (290) implies:
% 236.65/47.93 | (291) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_898_0
% 236.65/47.93 |
% 236.65/47.93 | DELTA: instantiating (88) with fresh symbol all_900_0 gives:
% 236.65/47.93 | (292) c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_900_0) =
% 236.65/47.93 | all_900_0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_900_0
% 236.65/47.93 | & $i(all_900_0)
% 236.65/47.93 |
% 236.65/47.93 | ALPHA: (292) implies:
% 236.65/47.93 | (293) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_900_0
% 236.65/47.93 | (294) c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_900_0) =
% 236.65/47.93 | all_900_0
% 236.65/47.93 |
% 236.65/47.93 | DELTA: instantiating (104) with fresh symbol all_902_0 gives:
% 236.65/47.93 | (295) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_902_0, v_r) =
% 236.65/47.93 | 0 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 236.65/47.93 | all_902_0 & $i(all_902_0)
% 236.65/47.93 |
% 236.65/47.93 | ALPHA: (295) implies:
% 236.65/47.93 | (296) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 236.65/47.93 | all_902_0
% 236.65/47.93 |
% 236.65/47.93 | DELTA: instantiating (60) with fresh symbol all_904_0 gives:
% 236.65/47.93 | (297) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_904_0 &
% 236.65/47.93 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) = all_904_0
% 236.65/47.93 | & $i(all_904_0)
% 236.65/47.93 |
% 236.65/47.93 | ALPHA: (297) implies:
% 236.65/47.93 | (298) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_904_0
% 236.65/47.93 |
% 236.65/47.93 | DELTA: instantiating (203) with fresh symbol all_906_0 gives:
% 236.65/47.93 | (299) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_906_0 &
% 236.65/47.93 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = all_906_0
% 236.65/47.93 | & $i(all_906_0)
% 236.65/47.93 |
% 236.65/47.93 | ALPHA: (299) implies:
% 236.65/47.93 | (300) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_906_0
% 236.65/47.93 |
% 236.65/47.93 | DELTA: instantiating (53) with fresh symbol all_908_0 gives:
% 236.65/47.93 | (301) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_908_0 &
% 236.65/47.93 | c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, all_908_0) = all_908_0 &
% 236.65/47.93 | $i(all_908_0)
% 236.65/47.93 |
% 236.65/47.93 | ALPHA: (301) implies:
% 236.65/47.93 | (302) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_908_0
% 236.65/47.93 |
% 236.65/47.93 | DELTA: instantiating (203) with fresh symbol all_910_0 gives:
% 236.65/47.93 | (303) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_910_0 &
% 236.65/47.93 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = all_910_0
% 236.65/47.93 | & $i(all_910_0)
% 236.65/47.93 |
% 236.65/47.93 | ALPHA: (303) implies:
% 236.65/47.93 | (304) $i(all_910_0)
% 236.65/47.93 | (305) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_910_0
% 236.65/47.93 |
% 236.65/47.93 | DELTA: instantiating (154) with fresh symbol all_912_0 gives:
% 236.65/47.93 | (306) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_912_0 & $i(all_912_0)
% 236.65/47.93 | & ! [v0: $i] : ( ~ (c_Nat_OSuc(v0) = all_912_0) | ~ $i(v0))
% 236.65/47.93 |
% 236.65/47.93 | ALPHA: (306) implies:
% 236.65/47.93 | (307) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_912_0
% 236.65/47.93 |
% 236.65/47.93 | DELTA: instantiating (154) with fresh symbol all_915_0 gives:
% 236.65/47.93 | (308) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_915_0 & $i(all_915_0)
% 236.65/47.93 | & ! [v0: $i] : ( ~ (c_Nat_OSuc(v0) = all_915_0) | ~ $i(v0))
% 236.65/47.93 |
% 236.65/47.93 | ALPHA: (308) implies:
% 236.65/47.93 | (309) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_915_0
% 236.65/47.93 |
% 236.65/47.93 | DELTA: instantiating (154) with fresh symbol all_918_0 gives:
% 236.65/47.93 | (310) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_918_0 & $i(all_918_0)
% 236.65/47.93 | & ! [v0: $i] : ( ~ (c_Nat_OSuc(v0) = all_918_0) | ~ $i(v0))
% 236.65/47.93 |
% 236.65/47.93 | ALPHA: (310) implies:
% 236.65/47.93 | (311) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_918_0
% 236.65/47.93 |
% 236.65/47.93 | DELTA: instantiating (154) with fresh symbol all_921_0 gives:
% 236.65/47.94 | (312) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_921_0 & $i(all_921_0)
% 236.65/47.94 | & ! [v0: $i] : ( ~ (c_Nat_OSuc(v0) = all_921_0) | ~ $i(v0))
% 236.65/47.94 |
% 236.65/47.94 | ALPHA: (312) implies:
% 236.65/47.94 | (313) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_921_0
% 236.65/47.94 |
% 236.65/47.94 | DELTA: instantiating (80) with fresh symbols all_924_0, all_924_1 gives:
% 236.65/47.94 | (314) ~ (all_924_0 = 0) & c_Groups_Ozero__class_Ozero(tc_Int_Oint) =
% 236.65/47.94 | all_924_1 & c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls,
% 236.65/47.94 | all_924_1) = all_924_0 & $i(all_924_1)
% 236.65/47.94 |
% 236.65/47.94 | ALPHA: (314) implies:
% 236.65/47.94 | (315) c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, all_924_1) =
% 236.65/47.94 | all_924_0
% 236.65/47.94 | (316) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_924_1
% 236.65/47.94 |
% 236.65/47.94 | DELTA: instantiating (154) with fresh symbol all_926_0 gives:
% 236.65/47.94 | (317) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_926_0 & $i(all_926_0)
% 236.65/47.94 | & ! [v0: $i] : ( ~ (c_Nat_OSuc(v0) = all_926_0) | ~ $i(v0))
% 236.65/47.94 |
% 236.65/47.94 | ALPHA: (317) implies:
% 236.65/47.94 | (318) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_926_0
% 236.65/47.94 |
% 236.65/47.94 | DELTA: instantiating (157) with fresh symbol all_929_0 gives:
% 236.65/47.94 | (319) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_929_0 & $i(all_929_0)
% 236.65/47.94 | & ! [v0: $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0,
% 236.65/47.94 | all_929_0) = 0) | ~ $i(v0))
% 236.65/47.94 |
% 236.65/47.94 | ALPHA: (319) implies:
% 236.65/47.94 | (320) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_929_0
% 236.65/47.94 |
% 236.65/47.94 | DELTA: instantiating (154) with fresh symbol all_932_0 gives:
% 236.65/47.94 | (321) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_932_0 & $i(all_932_0)
% 236.65/47.94 | & ! [v0: $i] : ( ~ (c_Nat_OSuc(v0) = all_932_0) | ~ $i(v0))
% 236.65/47.94 |
% 236.65/47.94 | ALPHA: (321) implies:
% 236.65/47.94 | (322) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_932_0
% 236.65/47.94 |
% 236.65/47.94 | DELTA: instantiating (157) with fresh symbol all_935_0 gives:
% 236.65/47.94 | (323) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_935_0 & $i(all_935_0)
% 236.65/47.94 | & ! [v0: $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0,
% 236.65/47.94 | all_935_0) = 0) | ~ $i(v0))
% 236.65/47.94 |
% 236.65/47.94 | ALPHA: (323) implies:
% 236.65/47.94 | (324) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_935_0
% 236.65/47.94 |
% 236.65/47.94 | DELTA: instantiating (157) with fresh symbol all_938_0 gives:
% 236.65/47.94 | (325) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_938_0 & $i(all_938_0)
% 236.65/47.94 | & ! [v0: $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0,
% 236.65/47.94 | all_938_0) = 0) | ~ $i(v0))
% 236.65/47.94 |
% 236.65/47.94 | ALPHA: (325) implies:
% 236.65/47.94 | (326) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_938_0
% 236.65/47.94 |
% 236.65/47.94 | DELTA: instantiating (157) with fresh symbol all_941_0 gives:
% 236.65/47.94 | (327) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_941_0 & $i(all_941_0)
% 236.65/47.94 | & ! [v0: $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0,
% 236.65/47.94 | all_941_0) = 0) | ~ $i(v0))
% 236.65/47.94 |
% 236.65/47.94 | ALPHA: (327) implies:
% 236.65/47.94 | (328) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_941_0
% 236.65/47.94 |
% 236.65/47.94 | DELTA: instantiating (70) with fresh symbols all_944_0, all_944_1 gives:
% 236.65/47.94 | (329) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_944_1 &
% 236.65/47.94 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_944_0 &
% 236.65/47.94 | c_RealDef_Oreal(tc_Nat_Onat, all_944_1) = all_944_0 & $i(all_944_0) &
% 236.65/47.94 | $i(all_944_1)
% 236.65/47.94 |
% 236.65/47.94 | ALPHA: (329) implies:
% 236.65/47.94 | (330) c_RealDef_Oreal(tc_Nat_Onat, all_944_1) = all_944_0
% 236.65/47.94 | (331) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_944_0
% 236.65/47.94 | (332) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_944_1
% 236.65/47.94 |
% 236.65/47.94 | DELTA: instantiating (170) with fresh symbol all_948_0 gives:
% 236.65/47.94 | (333) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_948_0 & $i(all_948_0)
% 236.65/47.94 | & ! [v0: $i] : ! [v1: int] : (v1 = all_948_0 | ~
% 236.65/47.94 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, all_948_0, v0) = v1) |
% 236.65/47.94 | ~ $i(v0))
% 236.65/47.94 |
% 236.65/47.94 | ALPHA: (333) implies:
% 236.65/47.94 | (334) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_948_0
% 236.65/47.94 |
% 236.65/47.94 | DELTA: instantiating (172) with fresh symbol all_951_0 gives:
% 236.65/47.94 | (335) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_951_0 & $i(all_951_0)
% 236.65/47.94 | & ! [v0: $i] : ! [v1: int] : (v1 = all_951_0 | ~
% 236.65/47.94 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v0) = v1) | ~
% 236.65/47.94 | $i(v0))
% 236.65/47.94 |
% 236.65/47.94 | ALPHA: (335) implies:
% 236.65/47.94 | (336) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_951_0
% 236.65/47.94 |
% 236.65/47.94 | DELTA: instantiating (168) with fresh symbol all_954_0 gives:
% 236.65/47.94 | (337) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_954_0 & $i(all_954_0)
% 236.65/47.94 | & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 236.65/47.94 | (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_954_0, v0) =
% 236.65/47.94 | v1) | ~ $i(v0))
% 236.65/47.94 |
% 236.65/47.94 | ALPHA: (337) implies:
% 236.65/47.94 | (338) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_954_0
% 236.65/47.94 |
% 236.65/47.94 | DELTA: instantiating (189) with fresh symbols all_957_0, all_957_1 gives:
% 236.65/47.94 | (339) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_957_1 &
% 236.65/47.94 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_957_0 &
% 236.65/47.94 | c_Nat_OSuc(all_957_0) = all_957_1 & $i(all_957_0) & $i(all_957_1)
% 236.65/47.94 |
% 236.65/47.94 | ALPHA: (339) implies:
% 236.65/47.94 | (340) c_Nat_OSuc(all_957_0) = all_957_1
% 236.65/47.94 | (341) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_957_0
% 236.65/47.94 |
% 236.65/47.94 | DELTA: instantiating (61) with fresh symbols all_959_0, all_959_1 gives:
% 236.65/47.94 | (342) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_959_0 &
% 236.65/47.94 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_959_1 &
% 236.65/47.94 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_959_1, all_959_0) = 0
% 236.65/47.94 | & $i(all_959_0) & $i(all_959_1)
% 236.65/47.94 |
% 236.65/47.94 | ALPHA: (342) implies:
% 236.65/47.94 | (343) c_Orderings_Oord__class_Oless(tc_Int_Oint, all_959_1, all_959_0) = 0
% 236.65/47.94 | (344) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_959_1
% 236.65/47.94 | (345) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_959_0
% 236.65/47.94 |
% 236.65/47.94 | DELTA: instantiating (152) with fresh symbol all_961_0 gives:
% 236.65/47.94 | (346) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_961_0 & $i(all_961_0)
% 236.65/47.94 | & ! [v0: $i] : ! [v1: int] : (v1 = all_961_0 | ~
% 236.65/47.94 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0, all_961_0) = v1) |
% 236.65/47.94 | ~ $i(v0))
% 236.65/47.94 |
% 236.65/47.94 | ALPHA: (346) implies:
% 236.65/47.94 | (347) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_961_0
% 236.65/47.94 |
% 236.65/47.94 | DELTA: instantiating (153) with fresh symbol all_964_0 gives:
% 236.65/47.94 | (348) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_964_0 & $i(all_964_0)
% 236.65/47.94 | & ! [v0: $i] : ! [v1: int] : (v1 = all_964_0 | ~
% 236.65/47.94 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, all_964_0, v0) = v1) |
% 236.65/47.94 | ~ $i(v0))
% 236.65/47.94 |
% 236.65/47.94 | ALPHA: (348) implies:
% 236.65/47.94 | (349) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_964_0
% 236.65/47.94 |
% 236.65/47.94 | DELTA: instantiating (208) with fresh symbols all_969_0, all_969_1 gives:
% 236.65/47.94 | (350) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_969_1, all_969_0)
% 236.65/47.94 | = 0 & c_Groups_Oone__class_Oone(tc_Int_Oint) = all_969_0 &
% 236.65/47.94 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_969_1 & $i(all_969_0)
% 236.65/47.94 | & $i(all_969_1)
% 236.65/47.94 |
% 236.65/47.94 | ALPHA: (350) implies:
% 236.65/47.94 | (351) $i(all_969_0)
% 236.65/47.94 | (352) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_969_1
% 236.65/47.94 | (353) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_969_0
% 236.65/47.94 | (354) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_969_1, all_969_0)
% 236.65/47.94 | = 0
% 236.65/47.94 |
% 236.65/47.94 | DELTA: instantiating (171) with fresh symbol all_971_0 gives:
% 236.65/47.94 | (355) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_971_0 & $i(all_971_0)
% 236.65/47.94 | & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 236.65/47.94 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, all_971_0) = v1) |
% 236.65/47.94 | ~ $i(v0))
% 236.65/47.94 |
% 236.65/47.94 | ALPHA: (355) implies:
% 236.65/47.94 | (356) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_971_0
% 236.65/47.94 |
% 236.65/47.94 | DELTA: instantiating (168) with fresh symbol all_974_0 gives:
% 236.65/47.94 | (357) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_974_0 & $i(all_974_0)
% 236.65/47.94 | & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 236.65/47.94 | (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_974_0, v0) =
% 236.65/47.94 | v1) | ~ $i(v0))
% 236.65/47.94 |
% 236.65/47.94 | ALPHA: (357) implies:
% 236.65/47.94 | (358) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_974_0
% 236.65/47.94 |
% 236.65/47.94 | DELTA: instantiating (113) with fresh symbol all_977_0 gives:
% 236.65/47.94 | (359) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_977_0 &
% 236.65/47.94 | $i(all_977_0) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 236.65/47.94 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_977_0, v0) =
% 236.65/47.94 | v1) | ~ $i(v0))
% 236.65/47.94 |
% 236.65/47.94 | ALPHA: (359) implies:
% 236.65/47.94 | (360) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_977_0
% 236.65/47.94 |
% 236.65/47.94 | DELTA: instantiating (86) with fresh symbols all_980_0, all_980_1 gives:
% 236.65/47.94 | (361) ~ (all_980_0 = all_980_1) &
% 236.65/47.94 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_980_0 &
% 236.65/47.94 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_980_1 &
% 236.65/47.94 | $i(all_980_0) & $i(all_980_1)
% 236.65/47.94 |
% 236.65/47.94 | ALPHA: (361) implies:
% 236.65/47.94 | (362) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_980_1
% 236.65/47.94 | (363) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_980_0
% 236.65/47.94 |
% 236.65/47.94 | DELTA: instantiating (49) with fresh symbol all_982_0 gives:
% 236.65/47.94 | (364) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_982_0 &
% 236.65/47.94 | $i(all_982_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 236.65/47.94 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1) | ~ $i(v0) |
% 236.65/47.94 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_982_0, v1)
% 236.65/47.94 | = 0)
% 236.65/47.94 |
% 236.65/47.94 | ALPHA: (364) implies:
% 236.65/47.94 | (365) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_982_0
% 236.65/47.94 |
% 236.65/47.94 | DELTA: instantiating (196) with fresh symbols all_985_0, all_985_1 gives:
% 236.65/47.94 | (366) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_985_1, all_985_0)
% 236.65/47.94 | = 0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_985_1 &
% 236.65/47.94 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) = all_985_0
% 236.65/47.94 | & $i(all_985_0) & $i(all_985_1)
% 236.65/47.94 |
% 236.65/47.94 | ALPHA: (366) implies:
% 236.65/47.94 | (367) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_985_1
% 236.65/47.94 |
% 236.65/47.94 | DELTA: instantiating (166) with fresh symbol all_987_0 gives:
% 236.65/47.94 | (368) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_987_0 & $i(all_987_0)
% 236.65/47.94 | & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 236.65/47.94 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, all_987_0) = v1) | ~
% 236.65/47.94 | $i(v0))
% 236.65/47.94 |
% 236.65/47.94 | ALPHA: (368) implies:
% 236.65/47.94 | (369) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_987_0
% 236.65/47.94 |
% 236.65/47.94 | DELTA: instantiating (207) with fresh symbols all_990_0, all_990_1 gives:
% 236.65/47.95 | (370) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_990_0 &
% 236.65/47.95 | c_Int_OBit1(c_Int_OPls) = all_990_1 &
% 236.65/47.95 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_990_1) = all_990_0
% 236.65/47.95 | & $i(all_990_0) & $i(all_990_1)
% 236.65/47.95 |
% 236.65/47.95 | ALPHA: (370) implies:
% 236.65/47.95 | (371) c_Int_OBit1(c_Int_OPls) = all_990_1
% 236.65/47.95 |
% 236.65/47.95 | DELTA: instantiating (87) with fresh symbols all_992_0, all_992_1 gives:
% 236.65/47.95 | (372) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_992_1 &
% 236.65/47.95 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_992_0 &
% 236.65/47.95 | c_RealDef_Oreal(tc_Nat_Onat, all_992_1) = all_992_0 & $i(all_992_0) &
% 236.65/47.95 | $i(all_992_1)
% 236.65/47.95 |
% 236.65/47.95 | ALPHA: (372) implies:
% 236.65/47.95 | (373) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_992_0
% 236.65/47.95 |
% 236.65/47.95 | DELTA: instantiating (23) with fresh symbols all_994_0, all_994_1 gives:
% 236.65/47.95 | (374) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_994_1 &
% 236.65/47.95 | c_Int_OBit1(c_Int_OPls) = all_994_0 &
% 236.65/47.95 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_994_0) = all_994_1
% 236.65/47.95 | & $i(all_994_0) & $i(all_994_1)
% 236.65/47.95 |
% 236.65/47.95 | ALPHA: (374) implies:
% 236.65/47.95 | (375) c_Int_OBit1(c_Int_OPls) = all_994_0
% 236.65/47.95 | (376) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_994_1
% 236.65/47.95 |
% 236.65/47.95 | DELTA: instantiating (140) with fresh symbol all_996_0 gives:
% 236.65/47.95 | (377) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_996_0 & $i(all_996_0) &
% 236.65/47.95 | ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 236.65/47.95 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, all_996_0, v0) = v1) |
% 236.65/47.95 | ~ $i(v0))
% 236.65/47.95 |
% 236.65/47.95 | ALPHA: (377) implies:
% 236.65/47.95 | (378) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_996_0
% 236.65/47.95 |
% 236.65/47.95 | DELTA: instantiating (141) with fresh symbol all_999_0 gives:
% 236.65/47.95 | (379) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_999_0 & $i(all_999_0) &
% 236.65/47.95 | ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 236.65/47.95 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v0, all_999_0) = v1) |
% 236.65/47.95 | ~ $i(v0))
% 236.65/47.95 |
% 236.65/47.95 | ALPHA: (379) implies:
% 236.65/47.95 | (380) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_999_0
% 236.65/47.95 |
% 236.65/47.95 | DELTA: instantiating (167) with fresh symbol all_1002_0 gives:
% 236.65/47.95 | (381) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1002_0 &
% 236.65/47.95 | $i(all_1002_0) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 236.65/47.95 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_1002_0, v0) = v1) |
% 236.65/47.95 | ~ $i(v0))
% 236.65/47.95 |
% 236.65/47.95 | ALPHA: (381) implies:
% 236.65/47.95 | (382) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1002_0
% 236.65/47.95 |
% 236.65/47.95 | DELTA: instantiating (52) with fresh symbols all_1005_0, all_1005_1 gives:
% 236.65/47.95 | (383) ~ (all_1005_0 = all_1005_1) & c_Groups_Oone__class_Oone(tc_Int_Oint)
% 236.65/47.95 | = all_1005_0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1005_1
% 236.65/47.95 | & $i(all_1005_0) & $i(all_1005_1)
% 236.65/47.95 |
% 236.65/47.95 | ALPHA: (383) implies:
% 236.65/47.95 | (384) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1005_1
% 236.65/47.95 | (385) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1005_0
% 236.65/47.95 |
% 236.65/47.95 | DELTA: instantiating (106) with fresh symbols all_1007_0, all_1007_1 gives:
% 236.65/47.95 | (386) c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_1007_1,
% 236.65/47.95 | all_1007_0) = 0 & hAPP(v_f____, all_1007_1) = all_1007_0 &
% 236.65/47.95 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) =
% 236.65/47.95 | all_1007_1 & $i(all_1007_0) & $i(all_1007_1)
% 236.65/47.95 |
% 236.65/47.95 | ALPHA: (386) implies:
% 236.65/47.95 | (387) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) =
% 236.65/47.95 | all_1007_1
% 236.65/47.95 | (388) hAPP(v_f____, all_1007_1) = all_1007_0
% 236.65/47.95 |
% 236.65/47.95 | DELTA: instantiating (46) with fresh symbols all_1012_0, all_1012_1 gives:
% 236.65/47.95 | (389) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1012_1,
% 236.65/47.95 | all_1012_0) = 0 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) =
% 236.65/47.95 | all_1012_0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 236.65/47.95 | all_1012_1 & $i(all_1012_0) & $i(all_1012_1)
% 236.65/47.95 |
% 236.65/47.95 | ALPHA: (389) implies:
% 236.65/47.95 | (390) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1012_1
% 236.65/47.95 | (391) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1012_0
% 236.65/47.95 | (392) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1012_1,
% 236.65/47.95 | all_1012_0) = 0
% 236.65/47.95 |
% 236.65/47.95 | DELTA: instantiating (206) with fresh symbols all_1014_0, all_1014_1 gives:
% 236.65/47.95 | (393) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1014_1 &
% 236.65/47.95 | c_Int_OBit1(c_Int_OPls) = all_1014_0 &
% 236.65/47.95 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1014_0) =
% 236.65/47.95 | all_1014_1 & $i(all_1014_0) & $i(all_1014_1)
% 236.65/47.95 |
% 236.65/47.95 | ALPHA: (393) implies:
% 236.65/47.95 | (394) c_Int_OBit1(c_Int_OPls) = all_1014_0
% 236.65/47.95 |
% 236.65/47.95 | DELTA: instantiating (63) with fresh symbol all_1016_0 gives:
% 236.65/47.95 | (395) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1016_0 &
% 236.65/47.95 | $i(all_1016_0) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 236.65/47.95 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_1016_0, v0) = v1) |
% 236.65/47.95 | ~ $i(v0))
% 236.65/47.95 |
% 236.65/47.95 | ALPHA: (395) implies:
% 236.65/47.95 | (396) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1016_0
% 236.65/47.95 |
% 236.65/47.95 | DELTA: instantiating (62) with fresh symbol all_1022_0 gives:
% 236.65/47.95 | (397) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1022_0 &
% 236.65/47.95 | $i(all_1022_0) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 236.65/47.95 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_1022_0) = v1) |
% 236.65/47.95 | ~ $i(v0))
% 236.65/47.95 |
% 236.65/47.95 | ALPHA: (397) implies:
% 236.65/47.95 | (398) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1022_0
% 236.65/47.95 |
% 236.65/47.95 | DELTA: instantiating (147) with fresh symbol all_1025_0 gives:
% 236.65/47.95 | (399) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1025_0 &
% 236.65/47.95 | $i(all_1025_0) & ! [v0: $i] : ! [v1: $i] : ( ~ (c_Nat_OSuc(v0) =
% 236.65/47.95 | v1) | ~ $i(v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 236.65/47.95 | all_1025_0, v1) = 0)
% 236.65/47.95 |
% 236.65/47.95 | ALPHA: (399) implies:
% 236.65/47.95 | (400) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1025_0
% 236.65/47.95 |
% 236.65/47.95 | DELTA: instantiating (57) with fresh symbol all_1034_0 gives:
% 236.65/47.95 | (401) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1034_0 &
% 236.65/47.95 | $i(all_1034_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 =
% 236.65/47.95 | all_1034_0 | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) =
% 236.65/47.95 | v1) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2)
% 236.65/47.95 | | ~ $i(v0))
% 236.65/47.95 |
% 236.65/47.95 | ALPHA: (401) implies:
% 236.65/47.95 | (402) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1034_0
% 236.65/47.95 |
% 236.65/47.95 | DELTA: instantiating (90) with fresh symbol all_1037_0 gives:
% 236.65/47.95 | (403) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1037_0 &
% 236.65/47.95 | $i(all_1037_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 236.65/47.95 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1) | ~ $i(v0) | ? [v2: int]
% 236.65/47.95 | : ( ~ (v2 = 0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 236.65/47.95 | v1, all_1037_0) = v2))
% 236.65/47.95 |
% 236.65/47.95 | ALPHA: (403) implies:
% 236.65/47.95 | (404) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1037_0
% 236.65/47.95 | (405) ! [v0: $i] : ! [v1: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v0) =
% 236.65/47.95 | v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 236.65/47.95 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1037_0) =
% 236.65/47.95 | v2))
% 236.65/47.95 |
% 236.65/47.95 | DELTA: instantiating (98) with fresh symbol all_1040_0 gives:
% 236.65/47.95 | (406) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1040_0 &
% 236.65/47.95 | $i(all_1040_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 236.65/47.95 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v1) | ~
% 236.65/47.95 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, all_1040_0) =
% 236.65/47.95 | v2) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v0)
% 236.65/47.95 | = 0) | ~ $i(v0))
% 236.65/47.95 |
% 236.65/47.95 | ALPHA: (406) implies:
% 236.65/47.95 | (407) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1040_0
% 236.65/47.95 |
% 236.65/47.95 | DELTA: instantiating (158) with fresh symbol all_1046_0 gives:
% 236.65/47.95 | (408) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1046_0 &
% 236.65/47.95 | $i(all_1046_0) & ! [v0: any] : ! [v1: int] : (v1 = 0 | v0 =
% 236.65/47.95 | all_1046_0 | ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 236.65/47.95 | all_1046_0, v0) = v1) | ~ $i(v0))
% 236.65/47.95 |
% 236.65/47.95 | ALPHA: (408) implies:
% 236.65/47.95 | (409) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1046_0
% 236.65/47.95 |
% 236.65/47.95 | DELTA: instantiating (164) with fresh symbol all_1049_0 gives:
% 236.65/47.95 | (410) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1049_0 &
% 236.65/47.95 | $i(all_1049_0) & ! [v0: any] : ! [v1: $i] : (v0 = all_1049_0 | ~
% 236.65/47.95 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v1) | ~ $i(v1)
% 236.65/47.95 | | ~ $i(v0))
% 236.65/47.95 |
% 236.65/47.95 | ALPHA: (410) implies:
% 236.65/47.95 | (411) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1049_0
% 236.65/47.95 |
% 236.65/47.95 | DELTA: instantiating (78) with fresh symbols all_1052_0, all_1052_1,
% 236.65/47.95 | all_1052_2 gives:
% 236.65/47.95 | (412) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1052_0 &
% 236.65/47.95 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1052_2 &
% 236.65/47.95 | c_Nat_OSuc(all_1052_2) = all_1052_1 & c_RealDef_Oreal(tc_Nat_Onat,
% 236.65/47.95 | all_1052_1) = all_1052_0 & $i(all_1052_0) & $i(all_1052_1) &
% 236.65/47.95 | $i(all_1052_2)
% 236.65/47.95 |
% 236.65/47.95 | ALPHA: (412) implies:
% 236.65/47.95 | (413) $i(all_1052_1)
% 236.65/47.95 | (414) c_RealDef_Oreal(tc_Nat_Onat, all_1052_1) = all_1052_0
% 236.65/47.95 | (415) c_Nat_OSuc(all_1052_2) = all_1052_1
% 236.65/47.95 | (416) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1052_2
% 236.65/47.95 | (417) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1052_0
% 236.65/47.95 |
% 236.65/47.95 | DELTA: instantiating (18) with fresh symbol all_1054_0 gives:
% 236.65/47.95 | (418) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1054_0 & $i(all_1054_0)
% 236.65/47.95 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 236.65/47.95 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~
% 236.65/47.95 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_1054_0, v0) = v1) |
% 236.65/47.95 | ~ $i(v0) | (c_Int_OBit1(v0) = v2 & $i(v2)))
% 236.65/47.95 |
% 236.65/47.95 | ALPHA: (418) implies:
% 236.65/47.95 | (419) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1054_0
% 236.65/47.95 |
% 236.65/47.95 | DELTA: instantiating (64) with fresh symbols all_1057_0, all_1057_1 gives:
% 236.65/47.95 | (420) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1057_1 &
% 236.65/47.95 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1057_0 &
% 236.65/47.95 | $i(all_1057_0) & $i(all_1057_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 236.65/47.95 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = all_1057_0) |
% 236.65/47.95 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_1057_1, v0) = v1) |
% 236.65/47.95 | ~ $i(v0))
% 236.65/47.95 |
% 236.65/47.95 | ALPHA: (420) implies:
% 236.65/47.96 | (421) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1057_0
% 236.65/47.96 | (422) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1057_1
% 236.65/47.96 |
% 236.65/47.96 | DELTA: instantiating (93) with fresh symbol all_1060_0 gives:
% 236.65/47.96 | (423) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1060_0 &
% 236.65/47.96 | $i(all_1060_0) & ! [v0: $i] : ! [v1: $i] : ( ~ (c_Nat_OSuc(v0) =
% 236.65/47.96 | v1) | ~ $i(v0) | ? [v2: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v1)
% 236.65/47.96 | = v2 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 236.65/47.96 | all_1060_0, v2) = 0 & $i(v2)))
% 236.65/47.96 |
% 236.65/47.96 | ALPHA: (423) implies:
% 236.65/47.96 | (424) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1060_0
% 236.65/47.96 |
% 236.65/47.96 | DELTA: instantiating (156) with fresh symbol all_1063_0 gives:
% 236.65/47.96 | (425) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1063_0 &
% 236.65/47.96 | $i(all_1063_0) & ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 236.65/47.96 | all_1063_0, all_1063_0) = 0) & ! [v0: any] : ! [v1: int] : (v1
% 236.65/47.96 | = 0 | v0 = all_1063_0 | ~
% 236.65/47.96 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1063_0, v0) = v1) |
% 236.65/47.96 | ~ $i(v0))
% 236.65/47.96 |
% 236.65/47.96 | ALPHA: (425) implies:
% 236.65/47.96 | (426) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1063_0
% 236.65/47.96 |
% 236.65/47.96 | DELTA: instantiating (190) with fresh symbol all_1066_0 gives:
% 236.65/47.96 | (427) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1066_0 &
% 236.65/47.96 | $i(all_1066_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 236.65/47.96 | int] : (v3 = all_1066_0 | ~
% 236.65/47.96 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v3) | ~
% 236.65/47.96 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ $i(v1)
% 236.65/47.96 | | ~ $i(v0))
% 236.65/47.96 |
% 236.65/47.96 | ALPHA: (427) implies:
% 236.65/47.96 | (428) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1066_0
% 236.65/47.96 |
% 236.65/47.96 | DELTA: instantiating (169) with fresh symbol all_1069_0 gives:
% 236.65/47.96 | (429) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1069_0 &
% 236.65/47.96 | $i(all_1069_0) & ! [v0: any] : (v0 = all_1069_0 | ~
% 236.65/47.96 | (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, all_1069_0) =
% 236.65/47.96 | 0) | ~ $i(v0)) & ! [v0: int] : (v0 = 0 | ~
% 236.65/47.96 | (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_1069_0,
% 236.65/47.96 | all_1069_0) = v0))
% 236.65/47.96 |
% 236.65/47.96 | ALPHA: (429) implies:
% 236.65/47.96 | (430) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1069_0
% 236.65/47.96 |
% 236.65/47.96 | DELTA: instantiating (212) with fresh symbols all_1072_0, all_1072_1,
% 236.65/47.96 | all_1072_2 gives:
% 236.65/47.96 | (431) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1072_0 &
% 236.65/47.96 | c_Int_OBit1(c_Int_OPls) = all_1072_2 &
% 236.65/47.96 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1072_2) =
% 236.65/47.96 | all_1072_1 & c_Nat_OSuc(all_1072_0) = all_1072_1 & $i(all_1072_0) &
% 236.65/47.96 | $i(all_1072_1) & $i(all_1072_2)
% 236.65/47.96 |
% 236.65/47.96 | ALPHA: (431) implies:
% 236.65/47.96 | (432) c_Nat_OSuc(all_1072_0) = all_1072_1
% 236.65/47.96 | (433) c_Int_OBit1(c_Int_OPls) = all_1072_2
% 236.65/47.96 | (434) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1072_0
% 236.65/47.96 |
% 236.65/47.96 | DELTA: instantiating (192) with fresh symbol all_1074_0 gives:
% 236.65/47.96 | (435) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1074_0 &
% 236.65/47.96 | $i(all_1074_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 =
% 236.65/47.96 | all_1074_0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0)
% 236.65/47.96 | = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) &
% 236.65/47.96 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) = v3))
% 236.65/47.96 |
% 236.65/47.96 | ALPHA: (435) implies:
% 236.65/47.96 | (436) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1074_0
% 236.65/47.96 |
% 236.65/47.96 | DELTA: instantiating (17) with fresh symbol all_1077_0 gives:
% 236.65/47.96 | (437) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1077_0 &
% 236.65/47.96 | $i(all_1077_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 =
% 236.65/47.96 | all_1077_0 | ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~
% 236.65/47.96 | (c_RealVector_Onorm__class_Onorm(v0, v1) = v2) | ~ $i(v0) | ?
% 236.65/47.96 | [v3: int] : ( ~ (v3 = 0) &
% 236.65/47.96 | class_RealVector_Oreal__normed__vector(v0) = v3))
% 236.65/47.96 |
% 236.65/47.96 | ALPHA: (437) implies:
% 236.65/47.96 | (438) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1077_0
% 236.65/47.96 | (439) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = all_1077_0 | ~
% 236.65/47.96 | (c_Groups_Ozero__class_Ozero(v0) = v1) | ~
% 236.65/47.96 | (c_RealVector_Onorm__class_Onorm(v0, v1) = v2) | ~ $i(v0) | ?
% 236.65/47.96 | [v3: int] : ( ~ (v3 = 0) &
% 236.65/47.96 | class_RealVector_Oreal__normed__vector(v0) = v3))
% 236.65/47.96 |
% 236.65/47.96 | DELTA: instantiating (32) with fresh symbol all_1080_0 gives:
% 236.65/47.96 | (440) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1080_0 &
% 236.65/47.96 | $i(all_1080_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 =
% 236.65/47.96 | all_1080_0 | ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~
% 236.65/47.96 | (c_RealVector_Onorm__class_Onorm(v0, v1) = v2) | ~ $i(v0) | ?
% 236.65/47.96 | [v3: int] : ( ~ (v3 = 0) &
% 236.65/47.96 | class_RealVector_Oreal__normed__algebra__1(v0) = v3))
% 236.65/47.96 |
% 236.65/47.96 | ALPHA: (440) implies:
% 236.65/47.96 | (441) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1080_0
% 236.65/47.96 |
% 236.65/47.96 | DELTA: instantiating (174) with fresh symbols all_1083_0, all_1083_1 gives:
% 236.65/47.96 | (442) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1083_1 &
% 236.65/47.96 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1083_0 &
% 236.65/47.96 | $i(all_1083_0) & $i(all_1083_1) & ! [v0: any] : ! [v1: any] : (v1 =
% 236.65/47.96 | all_1083_0 | v0 = all_1083_1 | ~
% 236.65/47.96 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1, v0) = v1) | ~
% 236.65/47.96 | $i(v1) | ~ $i(v0))
% 236.65/47.96 |
% 236.65/47.96 | ALPHA: (442) implies:
% 236.65/47.96 | (443) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1083_0
% 236.65/47.96 |
% 236.65/47.96 | DELTA: instantiating (44) with fresh symbols all_1086_0, all_1086_1 gives:
% 236.65/47.96 | (444) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1086_0 &
% 236.65/47.96 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1086_1 &
% 236.65/47.96 | $i(all_1086_0) & $i(all_1086_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 236.65/47.96 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v1) | ~ $i(v0)
% 236.65/47.96 | | ? [v2: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 236.65/47.96 | all_1086_0, v1) = v2 &
% 236.65/47.96 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1086_1, v2) =
% 236.65/47.96 | 0 & $i(v2)))
% 236.65/47.96 |
% 236.65/47.96 | ALPHA: (444) implies:
% 236.65/47.96 | (445) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1086_1
% 236.65/47.96 | (446) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1086_0
% 236.65/47.96 |
% 236.65/47.96 | DELTA: instantiating (201) with fresh symbols all_1089_0, all_1089_1,
% 236.65/47.96 | all_1089_2, all_1089_3 gives:
% 236.65/47.96 | (447) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1089_3,
% 236.65/47.96 | all_1089_0) = 0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) =
% 236.65/47.96 | all_1089_3 & c_Int_OBit1(c_Int_OPls) = all_1089_2 &
% 236.65/47.96 | c_Int_OBit0(all_1089_2) = all_1089_1 &
% 236.65/47.96 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_1089_1) =
% 236.65/47.96 | all_1089_0 & $i(all_1089_0) & $i(all_1089_1) & $i(all_1089_2) &
% 236.65/47.96 | $i(all_1089_3)
% 236.65/47.96 |
% 236.65/47.96 | ALPHA: (447) implies:
% 236.65/47.96 | (448) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_1089_1) =
% 236.65/47.96 | all_1089_0
% 236.65/47.96 | (449) c_Int_OBit0(all_1089_2) = all_1089_1
% 236.65/47.96 | (450) c_Int_OBit1(c_Int_OPls) = all_1089_2
% 236.65/47.96 | (451) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1089_3
% 236.65/47.96 | (452) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1089_3,
% 236.65/47.96 | all_1089_0) = 0
% 236.65/47.96 |
% 236.65/47.96 | DELTA: instantiating (173) with fresh symbol all_1091_0 gives:
% 236.65/47.96 | (453) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1091_0 &
% 236.65/47.96 | $i(all_1091_0) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 236.65/47.96 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = all_1091_0) |
% 236.65/47.96 | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ( ~ (v2 = all_1091_0) &
% 236.65/47.96 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2 &
% 236.65/47.96 | $i(v2)))
% 236.65/47.96 |
% 236.65/47.96 | ALPHA: (453) implies:
% 236.65/47.96 | (454) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1091_0
% 236.65/47.96 |
% 236.65/47.96 | DELTA: instantiating (225) with fresh symbols all_1094_0, all_1094_1,
% 236.65/47.96 | all_1094_2, all_1094_3 gives:
% 236.65/47.96 | (455) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1094_3,
% 236.65/47.96 | all_1094_0) = 0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) =
% 236.65/47.96 | all_1094_3 & c_Int_OBit1(all_1094_2) = all_1094_1 &
% 236.65/47.96 | c_Int_OBit1(c_Int_OPls) = all_1094_2 &
% 236.65/47.96 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_1094_1) =
% 236.65/47.96 | all_1094_0 & $i(all_1094_0) & $i(all_1094_1) & $i(all_1094_2) &
% 236.65/47.96 | $i(all_1094_3)
% 236.65/47.96 |
% 236.65/47.96 | ALPHA: (455) implies:
% 236.65/47.96 | (456) $i(all_1094_0)
% 236.65/47.96 | (457) c_Int_OBit1(c_Int_OPls) = all_1094_2
% 236.65/47.96 | (458) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1094_3
% 236.65/47.96 | (459) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1094_3,
% 236.65/47.96 | all_1094_0) = 0
% 236.65/47.96 |
% 236.65/47.96 | DELTA: instantiating (239) with fresh symbols all_1096_0, all_1096_1,
% 236.65/47.96 | all_1096_2, all_1096_3 gives:
% 236.65/47.97 | (460) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1096_3 &
% 236.65/47.97 | c_Int_OBit1(c_Int_OPls) = all_1096_2 & c_Int_OBit0(all_1096_2) =
% 236.65/47.97 | all_1096_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 236.65/47.97 | all_1096_1) = all_1096_0 &
% 236.65/47.97 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1096_3, all_1096_0) =
% 236.65/47.97 | 0 & $i(all_1096_0) & $i(all_1096_1) & $i(all_1096_2) & $i(all_1096_3)
% 236.65/47.97 |
% 236.65/47.97 | ALPHA: (460) implies:
% 236.65/47.97 | (461) $i(all_1096_1)
% 236.65/47.97 | (462) c_Int_OBit0(all_1096_2) = all_1096_1
% 236.65/47.97 | (463) c_Int_OBit1(c_Int_OPls) = all_1096_2
% 236.65/47.97 | (464) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1096_3
% 236.65/47.97 |
% 236.65/47.97 | DELTA: instantiating (211) with fresh symbol all_1098_0 gives:
% 236.65/47.97 | (465) c_Int_OBit1(c_Int_OPls) = all_1098_0 & $i(all_1098_0) & ! [v0: $i] :
% 236.65/47.97 | ! [v1: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v0, all_1098_0) =
% 236.65/47.97 | v1) | ~ $i(v0) | ? [v2: any] : ? [v3: $i] :
% 236.65/47.97 | (class_Int_Onumber__ring(v0) = v2 & c_Groups_Oone__class_Oone(v0) =
% 236.65/47.97 | v3 & $i(v3) & ( ~ (v2 = 0) | v3 = v1)))
% 236.65/47.97 |
% 236.65/47.97 | ALPHA: (465) implies:
% 236.65/47.97 | (466) c_Int_OBit1(c_Int_OPls) = all_1098_0
% 236.65/47.97 |
% 236.65/47.97 | DELTA: instantiating (241) with fresh symbol all_1101_0 gives:
% 236.65/47.97 | (467) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1101_0 &
% 236.65/47.97 | $i(all_1101_0) & ! [v0: any] : ! [v1: $i] : (v0 = all_1101_0 | ~
% 236.65/47.97 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0, v0) = v1) | ~
% 236.65/47.97 | $i(v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 236.65/47.97 | all_1101_0, v1) = 0) & ! [v0: $i] : ( ~
% 236.65/47.97 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1101_0,
% 236.65/47.97 | all_1101_0) = v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 236.65/47.97 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1101_0, v0) =
% 236.65/47.97 | v1))
% 236.65/47.97 |
% 236.65/47.97 | ALPHA: (467) implies:
% 236.65/47.97 | (468) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1101_0
% 236.65/47.97 |
% 236.65/47.97 | DELTA: instantiating (73) with fresh symbol all_1104_0 gives:
% 236.65/47.97 | (469) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1104_0 &
% 236.65/47.97 | $i(all_1104_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 236.65/47.97 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 236.65/47.97 | $i(v0) | ? [v3: any] : ? [v4: any] :
% 236.65/47.97 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1104_0,
% 236.65/47.97 | v2) = v4 & class_RealVector_Oreal__normed__vector(v1) = v3 & (
% 236.65/47.97 | ~ (v3 = 0) | v4 = 0)))
% 236.65/47.97 |
% 236.65/47.97 | ALPHA: (469) implies:
% 236.65/47.97 | (470) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1104_0
% 236.65/47.97 | (471) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 236.65/47.97 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 236.65/47.97 | $i(v0) | ? [v3: any] : ? [v4: any] :
% 236.65/47.97 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1104_0,
% 236.65/47.97 | v2) = v4 & class_RealVector_Oreal__normed__vector(v1) = v3 & (
% 236.65/47.97 | ~ (v3 = 0) | v4 = 0)))
% 236.65/47.97 |
% 236.65/47.97 | DELTA: instantiating (226) with fresh symbols all_1107_0, all_1107_1,
% 236.65/47.97 | all_1107_2, all_1107_3 gives:
% 236.65/47.97 | (472) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1107_3 &
% 236.65/47.97 | c_Int_OBit1(c_Int_OPls) = all_1107_1 & c_Int_OBit0(all_1107_1) =
% 236.65/47.97 | all_1107_0 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 236.65/47.97 | all_1107_0) = all_1107_2 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat,
% 236.65/47.97 | all_1107_3, all_1107_3) = all_1107_2 & $i(all_1107_0) &
% 236.65/47.97 | $i(all_1107_1) & $i(all_1107_2) & $i(all_1107_3)
% 236.65/47.97 |
% 236.65/47.97 | ALPHA: (472) implies:
% 236.65/47.97 | (473) c_Int_OBit0(all_1107_1) = all_1107_0
% 236.65/47.97 | (474) c_Int_OBit1(c_Int_OPls) = all_1107_1
% 236.65/47.97 |
% 236.65/47.97 | DELTA: instantiating (120) with fresh symbol all_1109_0 gives:
% 236.65/47.97 | (475) c_Int_OBit1(c_Int_OPls) = all_1109_0 & $i(all_1109_0) & ! [v0: $i] :
% 236.65/47.97 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 236.65/47.97 | (c_Groups_Otimes__class_Otimes(v1, v0, v2) = v3) | ~
% 236.65/47.97 | (c_Int_Onumber__class_Onumber__of(v1, all_1109_0) = v2) | ~ $i(v1)
% 236.65/47.97 | | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) &
% 236.65/47.97 | class_Int_Onumber__ring(v1) = v4))
% 236.65/47.97 |
% 236.65/47.97 | ALPHA: (475) implies:
% 236.65/47.97 | (476) c_Int_OBit1(c_Int_OPls) = all_1109_0
% 236.65/47.97 |
% 236.65/47.97 | DELTA: instantiating (25) with fresh symbol all_1112_0 gives:
% 236.65/47.97 | (477) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1112_0 &
% 236.65/47.97 | $i(all_1112_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 236.65/47.97 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 236.65/47.97 | $i(v0) | ? [v3: any] : ? [v4: any] :
% 236.65/47.97 | (class_RealVector_Oreal__normed__vector(v1) = v3 &
% 236.65/47.97 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, all_1112_0) =
% 236.65/47.97 | v4 & ( ~ (v4 = 0) | ~ (v3 = 0))))
% 236.65/47.97 |
% 236.65/47.97 | ALPHA: (477) implies:
% 236.65/47.97 | (478) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1112_0
% 236.65/47.97 | (479) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 236.65/47.97 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 236.65/47.97 | $i(v0) | ? [v3: any] : ? [v4: any] :
% 236.65/47.97 | (class_RealVector_Oreal__normed__vector(v1) = v3 &
% 236.65/47.97 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, all_1112_0) =
% 236.65/47.97 | v4 & ( ~ (v4 = 0) | ~ (v3 = 0))))
% 236.65/47.97 |
% 236.65/47.97 | DELTA: instantiating (115) with fresh symbol all_1118_0 gives:
% 236.65/47.97 | (480) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1118_0 &
% 236.65/47.97 | $i(all_1118_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 236.65/47.97 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1118_0, v1) =
% 236.65/47.97 | 0) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 236.65/47.97 | all_1118_0, v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] :
% 236.65/47.97 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v0) = v2 &
% 236.65/47.97 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1118_0, v2) =
% 236.65/47.97 | 0 & $i(v2)))
% 236.65/47.97 |
% 236.65/47.97 | ALPHA: (480) implies:
% 236.65/47.97 | (481) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1118_0
% 236.65/47.97 |
% 236.65/47.97 | DELTA: instantiating (96) with fresh symbol all_1121_0 gives:
% 236.65/47.97 | (482) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1121_0 &
% 236.65/47.97 | $i(all_1121_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 236.65/47.97 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1) | ~ $i(v0) | ? [v2: $i] :
% 236.65/47.97 | ? [v3: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1,
% 236.65/47.97 | all_1121_0) = v3 & c_Nat_OSuc(v0) = v2 &
% 236.65/47.97 | c_RealDef_Oreal(tc_Nat_Onat, v2) = v3 & $i(v3) & $i(v2)))
% 236.65/47.97 |
% 236.65/47.97 | ALPHA: (482) implies:
% 236.65/47.97 | (483) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1121_0
% 236.65/47.97 |
% 236.65/47.97 | DELTA: instantiating (129) with fresh symbols all_1124_0, all_1124_1 gives:
% 236.65/47.97 | (484) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1124_0 &
% 236.65/47.97 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1124_1 &
% 236.65/47.97 | $i(all_1124_0) & $i(all_1124_1) & ! [v0: any] : ! [v1: $i] : !
% 236.65/47.97 | [v2: int] : (v2 = all_1124_0 | v0 = all_1124_1 | ~
% 236.65/47.97 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 236.65/47.97 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v0) = v1) | ~
% 236.65/47.97 | $i(v0))
% 236.65/47.97 |
% 236.65/47.97 | ALPHA: (484) implies:
% 236.65/47.97 | (485) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1124_1
% 236.65/47.97 | (486) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1124_0
% 236.65/47.97 |
% 236.65/47.97 | DELTA: instantiating (165) with fresh symbol all_1127_0 gives:
% 236.65/47.97 | (487) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1127_0 &
% 236.65/47.97 | $i(all_1127_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 236.65/47.97 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_1127_0) |
% 236.65/47.97 | ~ $i(v1) | ~ $i(v0) | (v1 = all_1127_0 & v0 = all_1127_0)) & !
% 236.65/47.97 | [v0: int] : (v0 = all_1127_0 | ~
% 236.65/47.97 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_1127_0, all_1127_0) =
% 236.65/47.97 | v0))
% 236.65/47.97 |
% 236.65/47.97 | ALPHA: (487) implies:
% 236.65/47.97 | (488) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1127_0
% 236.65/47.97 |
% 236.65/47.97 | DELTA: instantiating (69) with fresh symbols all_1130_0, all_1130_1 gives:
% 236.65/47.97 | (489) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1130_0 &
% 236.65/47.97 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1130_1 &
% 236.65/47.97 | $i(all_1130_0) & $i(all_1130_1) & ! [v0: any] : (v0 = all_1130_0 |
% 236.65/47.97 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v0) = all_1130_1) | ~ $i(v0)) & !
% 236.65/47.97 | [v0: int] : (v0 = all_1130_1 | ~ (c_RealDef_Oreal(tc_Nat_Onat,
% 236.65/47.97 | all_1130_0) = v0))
% 236.65/47.97 |
% 236.65/47.97 | ALPHA: (489) implies:
% 236.65/47.97 | (490) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1130_1
% 236.65/47.97 | (491) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1130_0
% 236.65/47.97 |
% 236.65/47.97 | DELTA: instantiating (176) with fresh symbols all_1133_0, all_1133_1 gives:
% 236.65/47.97 | (492) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1133_1 &
% 236.65/47.97 | c_Nat_OSuc(all_1133_1) = all_1133_0 & $i(all_1133_0) & $i(all_1133_1)
% 236.65/47.97 | & ! [v0: any] : (v0 = all_1133_1 | ~
% 236.65/47.97 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_1133_0) = 0) |
% 236.65/47.97 | ~ $i(v0)) & ! [v0: int] : (v0 = 0 | ~
% 236.65/47.97 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1133_1, all_1133_0)
% 236.65/47.97 | = v0))
% 236.65/47.97 |
% 236.65/47.97 | ALPHA: (492) implies:
% 236.65/47.97 | (493) c_Nat_OSuc(all_1133_1) = all_1133_0
% 236.65/47.97 | (494) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1133_1
% 236.65/47.97 |
% 236.65/47.97 | DELTA: instantiating (211) with fresh symbol all_1136_0 gives:
% 236.65/47.97 | (495) c_Int_OBit1(c_Int_OPls) = all_1136_0 & $i(all_1136_0) & ! [v0: $i] :
% 236.65/47.97 | ! [v1: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v0, all_1136_0) =
% 236.65/47.97 | v1) | ~ $i(v0) | ? [v2: any] : ? [v3: $i] :
% 236.65/47.97 | (class_Int_Onumber__ring(v0) = v2 & c_Groups_Oone__class_Oone(v0) =
% 236.65/47.97 | v3 & $i(v3) & ( ~ (v2 = 0) | v3 = v1)))
% 236.65/47.97 |
% 236.65/47.97 | ALPHA: (495) implies:
% 236.65/47.97 | (496) c_Int_OBit1(c_Int_OPls) = all_1136_0
% 236.65/47.97 |
% 236.65/47.97 | DELTA: instantiating (42) with fresh symbol all_1139_0 gives:
% 236.65/47.97 | (497) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 236.65/47.97 | all_1139_0 & $i(all_1139_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 236.65/47.97 | (v_g____(v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] :
% 236.65/47.97 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1139_0,
% 236.65/47.97 | v3) = 0 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v1) = v2
% 236.65/47.97 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 &
% 236.65/47.97 | $i(v3) & $i(v2)))
% 236.65/47.97 |
% 236.65/47.97 | ALPHA: (497) implies:
% 236.65/47.97 | (498) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 236.65/47.97 | all_1139_0
% 236.65/47.97 |
% 236.65/47.97 | DELTA: instantiating (210) with fresh symbol all_1142_0 gives:
% 236.65/47.98 | (499) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1142_0 &
% 236.65/47.98 | $i(all_1142_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 236.65/47.98 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1142_0, v1) =
% 236.65/47.98 | 0) | ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 236.65/47.98 | all_1142_0, v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] :
% 236.65/47.98 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1, v0) = v2 &
% 236.65/47.98 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1142_0, v2) =
% 236.65/47.98 | 0 & $i(v2)))
% 236.65/47.98 |
% 236.65/47.98 | ALPHA: (499) implies:
% 236.65/47.98 | (500) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1142_0
% 236.65/47.98 |
% 236.65/47.98 | DELTA: instantiating (119) with fresh symbol all_1148_0 gives:
% 236.65/47.98 | (501) c_Int_OBit1(c_Int_OPls) = all_1148_0 & $i(all_1148_0) & ! [v0: $i] :
% 236.65/47.98 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 236.65/47.98 | (c_Groups_Otimes__class_Otimes(v1, v2, v0) = v3) | ~
% 236.65/47.98 | (c_Int_Onumber__class_Onumber__of(v1, all_1148_0) = v2) | ~ $i(v1)
% 236.65/47.98 | | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) &
% 236.65/47.98 | class_Int_Onumber__ring(v1) = v4))
% 236.65/47.98 |
% 236.65/47.98 | ALPHA: (501) implies:
% 236.65/47.98 | (502) c_Int_OBit1(c_Int_OPls) = all_1148_0
% 236.65/47.98 |
% 236.65/47.98 | DELTA: instantiating (7) with fresh symbols all_1151_0, all_1151_1,
% 236.65/47.98 | all_1151_2, all_1151_3 gives:
% 236.65/47.98 | (503) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1151_3 &
% 236.65/47.98 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) =
% 236.65/47.98 | all_1151_2 & c_Nat_OSuc(all_1151_2) = all_1151_1 &
% 236.65/47.98 | c_RealDef_Oreal(tc_Nat_Onat, all_1151_1) = all_1151_0 &
% 236.65/47.98 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1151_3,
% 236.65/47.98 | all_1151_0) = 0 & $i(all_1151_0) & $i(all_1151_1) & $i(all_1151_2)
% 236.65/47.98 | & $i(all_1151_3)
% 236.65/47.98 |
% 236.65/47.98 | ALPHA: (503) implies:
% 236.65/47.98 | (504) c_RealDef_Oreal(tc_Nat_Onat, all_1151_1) = all_1151_0
% 236.65/47.98 | (505) c_Nat_OSuc(all_1151_2) = all_1151_1
% 236.65/47.98 | (506) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) =
% 236.65/47.98 | all_1151_2
% 236.65/47.98 | (507) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1151_3
% 236.65/47.98 |
% 236.65/47.98 | DELTA: instantiating (126) with fresh symbol all_1153_0 gives:
% 236.65/47.98 | (508) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1153_0 & $i(all_1153_0)
% 236.65/47.98 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 |
% 236.65/47.98 | ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0) = v3) |
% 236.65/47.98 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, all_1153_0) = v2) |
% 236.65/47.98 | ~ $i(v1) | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) &
% 236.65/47.98 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = v4))
% 236.65/47.98 |
% 236.65/47.98 | ALPHA: (508) implies:
% 236.65/47.98 | (509) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1153_0
% 236.65/47.98 |
% 236.65/47.98 | DELTA: instantiating (209) with fresh symbol all_1156_0 gives:
% 236.65/47.98 | (510) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1156_0 &
% 236.65/47.98 | $i(all_1156_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 236.65/47.98 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1156_0, v1) =
% 236.65/47.98 | 0) | ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 236.65/47.98 | all_1156_0, v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] :
% 236.65/47.98 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1156_0, v2) = 0
% 236.65/47.98 | & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2 &
% 236.65/47.98 | $i(v2)))
% 236.65/47.98 |
% 236.65/47.98 | ALPHA: (510) implies:
% 236.65/47.98 | (511) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1156_0
% 236.65/47.98 |
% 236.65/47.98 | DELTA: instantiating (178) with fresh symbols all_1159_0, all_1159_1,
% 236.65/47.98 | all_1159_2 gives:
% 236.65/47.98 | (512) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1159_2 &
% 236.65/47.98 | c_Nat_OSuc(all_1159_1) = all_1159_0 & c_Nat_OSuc(all_1159_2) =
% 236.65/47.98 | all_1159_1 & $i(all_1159_0) & $i(all_1159_1) & $i(all_1159_2) & !
% 236.65/47.98 | [v0: any] : (v0 = all_1159_1 | v0 = all_1159_2 | ~
% 236.65/47.98 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_1159_0) = 0) |
% 236.65/47.98 | ~ $i(v0))
% 236.65/47.98 |
% 236.65/47.98 | ALPHA: (512) implies:
% 236.65/47.98 | (513) c_Nat_OSuc(all_1159_2) = all_1159_1
% 236.65/47.98 | (514) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1159_2
% 236.65/47.98 |
% 236.65/47.98 | DELTA: instantiating (127) with fresh symbols all_1162_0, all_1162_1 gives:
% 236.65/47.98 | (515) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1162_0 &
% 236.65/47.98 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1162_1 &
% 236.65/47.98 | $i(all_1162_0) & $i(all_1162_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 236.65/47.98 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_1162_0, v0) = v1) |
% 236.65/47.98 | ~ $i(v0) | ? [v2: any] : ? [v3: any] :
% 236.65/47.98 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1162_1, v0) =
% 236.65/47.98 | v2 & c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1162_1, v1) =
% 236.65/47.98 | v3 & ( ~ (v2 = 0) | v3 = 0)))
% 236.65/47.98 |
% 236.65/47.98 | ALPHA: (515) implies:
% 236.65/47.98 | (516) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1162_1
% 236.65/47.98 | (517) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1162_0
% 236.65/47.98 |
% 236.65/47.98 | DELTA: instantiating (223) with fresh symbols all_1165_0, all_1165_1,
% 236.65/47.98 | all_1165_2 gives:
% 236.65/47.98 | (518) c_Int_OBit1(c_Int_OPls) = all_1165_2 & c_Int_OBit0(all_1165_2) =
% 236.65/47.98 | all_1165_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 236.65/47.98 | all_1165_1) = all_1165_0 & $i(all_1165_0) & $i(all_1165_1) &
% 236.65/47.98 | $i(all_1165_2) & ! [v0: $i] : ! [v1: $i] : ( ~
% 236.65/47.98 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0, all_1165_0) = v1) |
% 236.65/47.98 | ~ $i(v0) | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v0) = v1
% 236.65/47.98 | & $i(v1)))
% 236.65/47.98 |
% 236.65/47.98 | ALPHA: (518) implies:
% 236.65/47.98 | (519) c_Int_OBit0(all_1165_2) = all_1165_1
% 236.65/47.98 | (520) c_Int_OBit1(c_Int_OPls) = all_1165_2
% 236.65/47.98 |
% 236.65/47.98 | DELTA: instantiating (43) with fresh symbols all_1168_0, all_1168_1,
% 236.65/47.98 | all_1168_2 gives:
% 236.65/47.98 | (521) c_Int_OBit1(c_Int_OPls) = all_1168_2 & c_Int_OBit0(all_1168_2) =
% 236.65/47.98 | all_1168_1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 236.65/47.98 | all_1168_1) = all_1168_0 & $i(all_1168_0) & $i(all_1168_1) &
% 236.65/47.98 | $i(all_1168_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v0 |
% 236.65/47.98 | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0,
% 236.65/47.98 | all_1168_0) = v1) | ~
% 236.65/47.98 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v1) = v2) | ~
% 236.65/47.98 | $i(v0))
% 236.65/47.98 |
% 236.65/47.98 | ALPHA: (521) implies:
% 236.65/47.98 | (522) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1168_1) =
% 236.65/47.98 | all_1168_0
% 236.65/47.98 | (523) c_Int_OBit0(all_1168_2) = all_1168_1
% 236.65/47.98 | (524) c_Int_OBit1(c_Int_OPls) = all_1168_2
% 236.65/47.98 |
% 236.65/47.98 | DELTA: instantiating (26) with fresh symbol all_1171_0 gives:
% 236.65/47.98 | (525) c_Int_OBit1(c_Int_OPls) = all_1171_0 & $i(all_1171_0) & ! [v0: $i] :
% 236.65/47.98 | ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 236.65/47.98 | (c_Rings_Oinverse__class_Oinverse(v0, v1) = v2) | ~
% 236.65/47.98 | (c_Int_Onumber__class_Onumber__of(v0, all_1171_0) = v1) | ~ $i(v0)
% 236.65/47.98 | | ? [v3: any] : ? [v4: any] : (class_Fields_Ofield(v0) = v3 &
% 236.65/47.98 | class_Int_Onumber__ring(v0) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0))))
% 236.65/47.98 |
% 236.65/47.98 | ALPHA: (525) implies:
% 236.65/47.98 | (526) c_Int_OBit1(c_Int_OPls) = all_1171_0
% 236.65/47.98 |
% 236.65/47.98 | DELTA: instantiating (224) with fresh symbols all_1177_0, all_1177_1,
% 236.65/47.98 | all_1177_2 gives:
% 236.65/47.98 | (527) c_Int_OBit1(c_Int_OPls) = all_1177_2 & c_Int_OBit0(all_1177_2) =
% 236.65/47.98 | all_1177_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 236.65/47.98 | all_1177_1) = all_1177_0 & $i(all_1177_0) & $i(all_1177_1) &
% 236.65/47.98 | $i(all_1177_2) & ! [v0: $i] : ! [v1: $i] : ( ~
% 236.65/47.98 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, all_1177_0, v0) = v1) |
% 236.65/47.98 | ~ $i(v0) | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v0) = v1
% 236.65/47.98 | & $i(v1)))
% 236.65/47.98 |
% 236.65/47.98 | ALPHA: (527) implies:
% 236.65/47.98 | (528) c_Int_OBit0(all_1177_2) = all_1177_1
% 236.65/47.98 | (529) c_Int_OBit1(c_Int_OPls) = all_1177_2
% 236.65/47.98 |
% 236.65/47.98 | DELTA: instantiating (193) with fresh symbol all_1180_0 gives:
% 236.65/47.98 | (530) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1180_0 &
% 236.65/47.98 | $i(all_1180_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 236.65/47.98 | $i] : ! [v4: int] : (v4 = 0 | ~
% 236.65/47.98 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v3) | ~
% 236.65/47.98 | (c_Nat_OSuc(v0) = v2) | ~
% 236.65/47.98 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v1) = v4) | ~
% 236.65/47.98 | $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = 0) &
% 236.65/47.98 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1180_0, v1) = v5))
% 236.65/47.98 |
% 236.65/47.98 | ALPHA: (530) implies:
% 236.65/47.98 | (531) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1180_0
% 236.65/47.98 |
% 236.65/47.98 | DELTA: instantiating (97) with fresh symbol all_1183_0 gives:
% 236.65/47.98 | (532) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1183_0 &
% 236.65/47.98 | $i(all_1183_0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 236.65/47.98 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1183_0) =
% 236.65/47.98 | v1) | ~ $i(v0) | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0)
% 236.65/47.98 | = v0) & ! [v0: $i] : ( ~
% 236.65/47.98 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1183_0) =
% 236.65/47.98 | 0) | ~ $i(v0) | ? [v1: $i] :
% 236.65/47.98 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) = v1 &
% 236.65/47.98 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v1 & $i(v1)))
% 236.65/47.98 |
% 236.65/47.98 | ALPHA: (532) implies:
% 236.65/47.98 | (533) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1183_0
% 236.65/47.98 |
% 236.65/47.98 | DELTA: instantiating (205) with fresh symbol all_1186_0 gives:
% 236.65/47.98 | (534) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1186_0 &
% 236.65/47.98 | $i(all_1186_0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 236.65/47.98 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OPls) =
% 236.65/47.98 | v1) | ~ $i(v0) | ? [v2: any] : ( ~ (v2 = all_1186_0) &
% 236.65/47.98 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v2 & $i(v2)))
% 236.65/47.98 | & ! [v0: $i] : ( ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 236.65/47.98 | v0, c_Int_OPls) = 0) | ~ $i(v0) |
% 236.65/47.98 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = all_1186_0)
% 236.65/47.98 |
% 236.65/47.98 | ALPHA: (534) implies:
% 236.65/47.98 | (535) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1186_0
% 236.65/47.98 |
% 236.65/47.98 | DELTA: instantiating (194) with fresh symbols all_1189_0, all_1189_1 gives:
% 236.65/47.98 | (536) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1189_1 &
% 236.65/47.98 | c_Nat_OSuc(all_1189_1) = all_1189_0 & $i(all_1189_0) & $i(all_1189_1)
% 236.65/47.98 | & ! [v0: $i] : ! [v1: $i] : ( ~
% 236.65/47.98 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, all_1189_0) = v1) |
% 236.65/47.98 | ~ $i(v0) | ? [v2: any] : ? [v3: $i] : (c_Nat_OSuc(v1) = v3 &
% 236.65/47.98 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1189_1, v0) = v2 &
% 236.65/47.98 | $i(v3) & ( ~ (v2 = 0) | v3 = v0)))
% 236.65/47.98 |
% 236.65/47.98 | ALPHA: (536) implies:
% 236.65/47.99 | (537) c_Nat_OSuc(all_1189_1) = all_1189_0
% 236.65/47.99 | (538) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1189_1
% 236.65/47.99 |
% 236.65/47.99 | DELTA: instantiating (175) with fresh symbol all_1192_0 gives:
% 236.65/47.99 | (539) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1192_0 &
% 236.65/47.99 | $i(all_1192_0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 236.65/47.99 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1192_0, v0) = v1) |
% 236.65/47.99 | ~ $i(v0) | ! [v2: $i] : ( ~ (c_Nat_OSuc(v2) = v0) | ~ $i(v2))) &
% 236.65/47.99 | ! [v0: $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 236.65/47.99 | all_1192_0, v0) = 0) | ~ $i(v0) | ? [v1: $i] :
% 236.65/47.99 | (c_Nat_OSuc(v1) = v0 & $i(v1)))
% 236.65/47.99 |
% 236.65/47.99 | ALPHA: (539) implies:
% 236.65/47.99 | (540) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1192_0
% 236.65/47.99 |
% 236.65/47.99 | DELTA: instantiating (58) with fresh symbols all_1195_0, all_1195_1 gives:
% 236.65/47.99 | (541) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1195_0 &
% 236.65/47.99 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1195_1 &
% 236.65/47.99 | $i(all_1195_0) & $i(all_1195_1) & ! [v0: any] : ! [v1: $i] : (v0 =
% 236.65/47.99 | all_1195_0 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1) | ~ $i(v0)
% 236.65/47.99 | | ? [v2: int] : ( ~ (v2 = 0) &
% 236.65/47.99 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 236.65/47.99 | all_1195_1) = v2)) & ! [v0: $i] : ( ~
% 236.65/47.99 | (c_RealDef_Oreal(tc_Nat_Onat, all_1195_0) = v0) |
% 236.65/47.99 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, all_1195_1)
% 236.65/47.99 | = 0)
% 236.65/47.99 |
% 236.65/47.99 | ALPHA: (541) implies:
% 236.65/47.99 | (542) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1195_1
% 236.65/47.99 | (543) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1195_0
% 236.65/47.99 |
% 236.65/47.99 | DELTA: instantiating (205) with fresh symbol all_1198_0 gives:
% 236.65/47.99 | (544) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1198_0 &
% 236.65/47.99 | $i(all_1198_0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 236.65/47.99 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OPls) =
% 236.65/47.99 | v1) | ~ $i(v0) | ? [v2: any] : ( ~ (v2 = all_1198_0) &
% 236.65/47.99 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v2 & $i(v2)))
% 236.65/47.99 | & ! [v0: $i] : ( ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 236.65/47.99 | v0, c_Int_OPls) = 0) | ~ $i(v0) |
% 236.65/47.99 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = all_1198_0)
% 236.65/47.99 |
% 236.65/47.99 | ALPHA: (544) implies:
% 236.65/47.99 | (545) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1198_0
% 236.65/47.99 |
% 236.65/47.99 | DELTA: instantiating (180) with fresh symbols all_1201_0, all_1201_1 gives:
% 236.65/47.99 | (546) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1201_1 &
% 236.65/47.99 | c_Nat_OSuc(all_1201_1) = all_1201_0 & $i(all_1201_0) & $i(all_1201_1)
% 236.65/47.99 | & ! [v0: $i] : ! [v1: $i] : ( ~
% 236.65/47.99 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1201_0, v1) = 0) |
% 236.65/47.99 | ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1201_0, v0) = 0)
% 236.65/47.99 | | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] :
% 236.65/47.99 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1, v0) = v2 &
% 236.65/47.99 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) = 0 & $i(v2)))
% 236.65/47.99 |
% 236.65/47.99 | ALPHA: (546) implies:
% 236.65/47.99 | (547) c_Nat_OSuc(all_1201_1) = all_1201_0
% 236.65/47.99 | (548) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1201_1
% 236.65/47.99 |
% 236.65/47.99 | DELTA: instantiating (54) with fresh symbol all_1204_0 gives:
% 236.65/47.99 | (549) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1204_0 &
% 236.65/47.99 | $i(all_1204_0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 236.65/47.99 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_1204_0) = v1) |
% 236.65/47.99 | ~ $i(v0) | c_Groups_Oabs__class_Oabs(tc_Int_Oint, v0) = v0) & !
% 236.65/47.99 | [v0: $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0,
% 236.65/47.99 | all_1204_0) = 0) | ~ $i(v0) | ? [v1: $i] :
% 236.65/47.99 | (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v1 &
% 236.65/47.99 | c_Groups_Oabs__class_Oabs(tc_Int_Oint, v0) = v1 & $i(v1)))
% 236.65/47.99 |
% 236.65/47.99 | ALPHA: (549) implies:
% 236.65/47.99 | (550) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1204_0
% 236.65/47.99 |
% 236.65/47.99 | DELTA: instantiating (179) with fresh symbols all_1207_0, all_1207_1 gives:
% 236.65/47.99 | (551) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1207_1 &
% 236.65/47.99 | c_Nat_OSuc(all_1207_1) = all_1207_0 & $i(all_1207_0) & $i(all_1207_1)
% 236.65/47.99 | & ! [v0: $i] : ! [v1: $i] : ( ~
% 236.65/47.99 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1207_0, v1) = 0) |
% 236.65/47.99 | ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1207_0, v0) = 0)
% 236.65/47.99 | | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] :
% 236.65/47.99 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0, v1) = v2 &
% 236.65/47.99 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1207_0, v2) = 0 &
% 236.65/47.99 | $i(v2)))
% 236.65/47.99 |
% 236.65/47.99 | ALPHA: (551) implies:
% 236.65/47.99 | (552) c_Nat_OSuc(all_1207_1) = all_1207_0
% 236.65/47.99 | (553) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1207_1
% 236.65/47.99 |
% 236.65/47.99 | DELTA: instantiating (181) with fresh symbols all_1210_0, all_1210_1 gives:
% 236.65/47.99 | (554) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1210_1 &
% 236.65/47.99 | c_Nat_OSuc(all_1210_1) = all_1210_0 & $i(all_1210_0) & $i(all_1210_1)
% 236.65/47.99 | & ! [v0: $i] : ! [v1: $i] : ( ~
% 236.65/47.99 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1210_0, v1) = 0) |
% 236.65/47.99 | ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1210_0, v0) = 0)
% 236.65/47.99 | | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] :
% 236.65/47.99 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0, v1) = v2 &
% 236.65/47.99 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) = 0 & $i(v2)))
% 236.65/47.99 |
% 236.65/47.99 | ALPHA: (554) implies:
% 236.65/47.99 | (555) c_Nat_OSuc(all_1210_1) = all_1210_0
% 236.65/47.99 | (556) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1210_1
% 236.65/47.99 |
% 236.65/47.99 | DELTA: instantiating (91) with fresh symbol all_1213_0 gives:
% 236.65/47.99 | (557) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1213_0 &
% 236.65/47.99 | $i(all_1213_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 =
% 236.65/47.99 | all_1213_0 | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 236.65/47.99 | v0) = v1) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 236.65/47.99 | v0, v1) = v2) | ~ $i(v0)) & ! [v0: $i] : ! [v1: $i] : !
% 236.65/47.99 | [v2: $i] : (v1 = v0 | ~
% 236.65/47.99 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) = v2) | ~
% 236.65/47.99 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v2) =
% 236.65/47.99 | all_1213_0) | ~ $i(v1) | ~ $i(v0))
% 236.65/47.99 |
% 236.65/47.99 | ALPHA: (557) implies:
% 236.65/47.99 | (558) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1213_0
% 236.65/47.99 |
% 236.65/47.99 | DELTA: instantiating (33) with fresh symbol all_1216_0 gives:
% 236.65/47.99 | (559) c_Int_OBit1(c_Int_OPls) = all_1216_0 & $i(all_1216_0) & ! [v0: $i] :
% 236.65/47.99 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 236.65/47.99 | (c_Int_Onumber__class_Onumber__of(v1, all_1216_0) = v2) | ~
% 236.65/47.99 | (c_Rings_Oinverse__class_Odivide(v1, v0, v2) = v3) | ~ $i(v1) | ~
% 236.65/47.99 | $i(v0) | ? [v4: any] : ? [v5: any] : (class_Fields_Ofield(v1) =
% 236.65/47.99 | v4 & class_Int_Onumber__ring(v1) = v5 & ( ~ (v5 = 0) | ~ (v4 =
% 236.65/47.99 | 0))))
% 236.65/47.99 |
% 236.65/47.99 | ALPHA: (559) implies:
% 236.65/47.99 | (560) c_Int_OBit1(c_Int_OPls) = all_1216_0
% 236.65/47.99 |
% 236.65/47.99 | DELTA: instantiating (97) with fresh symbol all_1219_0 gives:
% 236.65/47.99 | (561) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1219_0 &
% 236.65/47.99 | $i(all_1219_0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 236.65/47.99 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1219_0) =
% 236.65/47.99 | v1) | ~ $i(v0) | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0)
% 236.65/47.99 | = v0) & ! [v0: $i] : ( ~
% 236.65/47.99 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1219_0) =
% 236.65/47.99 | 0) | ~ $i(v0) | ? [v1: $i] :
% 236.65/47.99 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) = v1 &
% 236.65/47.99 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v1 & $i(v1)))
% 236.65/47.99 |
% 236.65/47.99 | ALPHA: (561) implies:
% 236.65/47.99 | (562) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1219_0
% 236.65/47.99 |
% 236.65/47.99 | DELTA: instantiating (55) with fresh symbols all_1222_0, all_1222_1 gives:
% 236.65/47.99 | (563) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1222_1 &
% 236.65/47.99 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1222_0 &
% 236.65/47.99 | $i(all_1222_0) & $i(all_1222_1) & ! [v0: any] : ! [v1: $i] : (v0 =
% 236.65/47.99 | all_1222_0 | ~ (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v0) = v1) |
% 236.65/47.99 | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 236.65/47.99 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, all_1222_1) = v2))
% 236.65/47.99 | & ! [v0: $i] : ( ~ (c_Groups_Oabs__class_Oabs(tc_Int_Oint,
% 236.65/47.99 | all_1222_0) = v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 236.65/47.99 | v0, all_1222_1) = 0)
% 236.65/47.99 |
% 236.65/47.99 | ALPHA: (563) implies:
% 236.65/47.99 | (564) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1222_0
% 236.65/47.99 | (565) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1222_1
% 236.65/47.99 |
% 236.65/47.99 | DELTA: instantiating (33) with fresh symbol all_1225_0 gives:
% 236.65/47.99 | (566) c_Int_OBit1(c_Int_OPls) = all_1225_0 & $i(all_1225_0) & ! [v0: $i] :
% 236.65/47.99 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 236.65/47.99 | (c_Int_Onumber__class_Onumber__of(v1, all_1225_0) = v2) | ~
% 236.65/47.99 | (c_Rings_Oinverse__class_Odivide(v1, v0, v2) = v3) | ~ $i(v1) | ~
% 236.65/47.99 | $i(v0) | ? [v4: any] : ? [v5: any] : (class_Fields_Ofield(v1) =
% 236.65/47.99 | v4 & class_Int_Onumber__ring(v1) = v5 & ( ~ (v5 = 0) | ~ (v4 =
% 236.65/47.99 | 0))))
% 236.65/47.99 |
% 236.65/47.99 | ALPHA: (566) implies:
% 236.65/47.99 | (567) c_Int_OBit1(c_Int_OPls) = all_1225_0
% 236.65/47.99 |
% 236.65/47.99 | DELTA: instantiating (188) with fresh symbol all_1228_0 gives:
% 236.65/47.99 | (568) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1228_0 &
% 236.65/47.99 | $i(all_1228_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 236.65/47.99 | int] : (v3 = 0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0,
% 236.65/47.99 | v1) = v2) | ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2,
% 236.65/47.99 | v0) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any]
% 236.65/47.99 | : (c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1228_0, v1) = v4
% 236.65/47.99 | & c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1228_0, v0) = v5
% 236.65/47.99 | & ( ~ (v5 = 0) | ~ (v4 = 0))))
% 236.65/47.99 |
% 236.65/47.99 | ALPHA: (568) implies:
% 236.65/47.99 | (569) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1228_0
% 236.65/47.99 |
% 236.65/47.99 | DELTA: instantiating (218) with fresh symbols all_1231_0, all_1231_1,
% 236.65/47.99 | all_1231_2, all_1231_3, all_1231_4 gives:
% 236.65/47.99 | (570) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1231_4 &
% 236.65/47.99 | c_Int_OBit1(c_Int_OPls) = all_1231_1 & c_Int_OBit0(all_1231_1) =
% 236.65/47.99 | all_1231_0 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 236.65/47.99 | all_1231_0) = all_1231_2 & c_Nat_OSuc(all_1231_3) = all_1231_2 &
% 236.65/47.99 | c_Nat_OSuc(all_1231_4) = all_1231_3 & $i(all_1231_0) & $i(all_1231_1)
% 236.65/47.99 | & $i(all_1231_2) & $i(all_1231_3) & $i(all_1231_4)
% 236.65/47.99 |
% 236.65/47.99 | ALPHA: (570) implies:
% 236.65/47.99 | (571) c_Nat_OSuc(all_1231_4) = all_1231_3
% 236.65/47.99 | (572) c_Int_OBit0(all_1231_1) = all_1231_0
% 236.65/47.99 | (573) c_Int_OBit1(c_Int_OPls) = all_1231_1
% 236.65/47.99 | (574) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1231_4
% 236.65/47.99 |
% 236.65/47.99 | DELTA: instantiating (227) with fresh symbols all_1233_0, all_1233_1 gives:
% 236.65/47.99 | (575) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1233_0 &
% 236.65/47.99 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1233_1 &
% 236.65/47.99 | $i(all_1233_0) & $i(all_1233_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 236.65/47.99 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, all_1233_0) = v1) |
% 236.65/47.99 | ~ $i(v0) | ? [v2: any] : ? [v3: $i] : (c_Nat_OSuc(v1) = v3 &
% 236.65/48.00 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1233_1, v0) = v2 &
% 236.65/48.00 | $i(v3) & ( ~ (v2 = 0) | v3 = v0)))
% 236.65/48.00 |
% 236.65/48.00 | ALPHA: (575) implies:
% 236.65/48.00 | (576) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1233_1
% 236.65/48.00 |
% 236.65/48.00 | DELTA: instantiating (155) with fresh symbols all_1236_0, all_1236_1 gives:
% 236.65/48.00 | (577) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1236_1 &
% 236.65/48.00 | c_Nat_OSuc(all_1236_1) = all_1236_0 & $i(all_1236_0) & $i(all_1236_1)
% 236.65/48.00 | & ! [v0: $i] : ! [v1: $i] : ( ~
% 236.65/48.00 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1, v0) = all_1236_0) |
% 236.65/48.00 | ~ $i(v1) | ~ $i(v0) | (v1 = all_1236_0 & v0 = all_1236_0)) & !
% 236.65/48.00 | [v0: int] : (v0 = all_1236_0 | ~
% 236.65/48.00 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, all_1236_0, all_1236_0)
% 236.65/48.00 | = v0))
% 236.65/48.00 |
% 236.65/48.00 | ALPHA: (577) implies:
% 236.65/48.00 | (578) c_Nat_OSuc(all_1236_1) = all_1236_0
% 236.65/48.00 | (579) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1236_1
% 236.65/48.00 |
% 236.65/48.00 | DELTA: instantiating (219) with fresh symbols all_1239_0, all_1239_1,
% 236.65/48.00 | all_1239_2, all_1239_3, all_1239_4 gives:
% 236.65/48.00 | (580) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1239_1 &
% 236.65/48.00 | c_Int_OBit1(c_Int_OPls) = all_1239_4 & c_Int_OBit0(all_1239_4) =
% 236.65/48.00 | all_1239_3 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 236.65/48.00 | all_1239_3) = all_1239_2 & c_Nat_OSuc(all_1239_0) = all_1239_2 &
% 236.65/48.00 | c_Nat_OSuc(all_1239_1) = all_1239_0 & $i(all_1239_0) & $i(all_1239_1)
% 236.65/48.00 | & $i(all_1239_2) & $i(all_1239_3) & $i(all_1239_4)
% 236.65/48.00 |
% 236.65/48.00 | ALPHA: (580) implies:
% 236.65/48.00 | (581) c_Nat_OSuc(all_1239_1) = all_1239_0
% 236.65/48.00 | (582) c_Int_OBit0(all_1239_4) = all_1239_3
% 236.65/48.00 | (583) c_Int_OBit1(c_Int_OPls) = all_1239_4
% 236.65/48.00 | (584) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1239_1
% 236.65/48.00 |
% 236.65/48.00 | DELTA: instantiating (143) with fresh symbol all_1241_0 gives:
% 236.65/48.00 | (585) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1241_0 & $i(all_1241_0)
% 236.65/48.00 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 236.65/48.00 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1, v0) = v2) | ~
% 236.65/48.00 | $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] :
% 236.65/48.00 | (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v2) = v3 &
% 236.65/48.00 | c_Groups_Oabs__class_Oabs(tc_Int_Oint, v1) = v4 & $i(v4) & $i(v3)
% 236.65/48.00 | & ( ~ (v3 = all_1241_0) | v4 = all_1241_0)))
% 236.65/48.00 |
% 236.65/48.00 | ALPHA: (585) implies:
% 236.65/48.00 | (586) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1241_0
% 236.65/48.00 |
% 236.65/48.00 | DELTA: instantiating (227) with fresh symbols all_1244_0, all_1244_1 gives:
% 236.65/48.00 | (587) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1244_0 &
% 236.65/48.00 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1244_1 &
% 236.65/48.00 | $i(all_1244_0) & $i(all_1244_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 236.65/48.00 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, all_1244_0) = v1) |
% 236.65/48.00 | ~ $i(v0) | ? [v2: any] : ? [v3: $i] : (c_Nat_OSuc(v1) = v3 &
% 236.65/48.00 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1244_1, v0) = v2 &
% 236.65/48.00 | $i(v3) & ( ~ (v2 = 0) | v3 = v0)))
% 236.65/48.00 |
% 236.65/48.00 | ALPHA: (587) implies:
% 236.65/48.00 | (588) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1244_1
% 236.65/48.00 |
% 236.65/48.00 | DELTA: instantiating (123) with fresh symbol all_1247_0 gives:
% 236.65/48.00 | (589) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1247_0 &
% 236.65/48.00 | $i(all_1247_0) & ! [v0: $i] : ! [v1: any] : ! [v2: $i] : ! [v3:
% 236.65/48.00 | $i] : ! [v4: $i] : ! [v5: $i] : (v1 = all_1247_0 | ~
% 236.65/48.00 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v4) = v5) | ~
% 236.65/48.00 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v5) = 0) |
% 236.65/48.00 | ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v3) | ~
% 236.65/48.00 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v4) | ~ $i(v2)
% 236.65/48.00 | | ~ $i(v1) | ~ $i(v0) | ? [v6: int] : ( ~ (v6 = 0) &
% 236.65/48.00 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 236.65/48.00 | all_1247_0) = v6))
% 236.65/48.00 |
% 236.65/48.00 | ALPHA: (589) implies:
% 236.65/48.00 | (590) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1247_0
% 236.65/48.00 |
% 236.65/48.00 | DELTA: instantiating (118) with fresh symbols all_1250_0, all_1250_1 gives:
% 236.65/48.00 | (591) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1250_1 &
% 236.65/48.00 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1250_0 &
% 236.65/48.00 | $i(all_1250_0) & $i(all_1250_1) & ! [v0: $i] : ! [v1: int] : (v1 =
% 236.65/48.00 | 0 | ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1250_1,
% 236.65/48.00 | v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 236.65/48.00 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1250_0, v0) = v2))
% 236.65/48.00 | & ! [v0: $i] : ( ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 236.65/48.00 | all_1250_1, v0) = 0) | ~ $i(v0) |
% 236.65/48.00 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1250_0, v0) = 0)
% 236.65/48.00 |
% 236.65/48.00 | ALPHA: (591) implies:
% 236.65/48.00 | (592) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1250_0
% 236.65/48.00 | (593) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1250_1
% 236.65/48.00 |
% 236.65/48.00 | DELTA: instantiating (112) with fresh symbol all_1253_0 gives:
% 236.65/48.00 | (594) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1253_0 &
% 236.65/48.00 | $i(all_1253_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ! [v3:
% 236.65/48.00 | $i] : ! [v4: $i] : (v2 = all_1253_0 | ~
% 236.65/48.00 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 236.65/48.00 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v0) = v4) | ~
% 236.65/48.00 | $i(v2) | ~ $i(v1) | ~ $i(v0) | (( ~ (v4 = v3) | v1 = v0) & ( ~
% 236.65/48.00 | (v1 = v0) | v4 = v3)))
% 236.65/48.00 |
% 236.65/48.00 | ALPHA: (594) implies:
% 236.65/48.00 | (595) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1253_0
% 236.65/48.00 |
% 236.65/48.00 | DELTA: instantiating (221) with fresh symbols all_1256_0, all_1256_1,
% 236.65/48.00 | all_1256_2 gives:
% 236.65/48.00 | (596) c_Int_OBit1(c_Int_OPls) = all_1256_2 & c_Int_OBit0(all_1256_2) =
% 236.65/48.00 | all_1256_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 236.65/48.00 | all_1256_1) = all_1256_0 & $i(all_1256_0) & $i(all_1256_1) &
% 236.65/48.00 | $i(all_1256_2) & ! [v0: $i] : ! [v1: $i] : ( ~
% 236.65/48.00 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_1256_0, v0) = v1) |
% 236.65/48.00 | ~ $i(v0) | ? [v2: $i] : (c_Nat_OSuc(v2) = v1 & c_Nat_OSuc(v0) = v2
% 236.65/48.00 | & $i(v2) & $i(v1)))
% 236.65/48.00 |
% 236.65/48.00 | ALPHA: (596) implies:
% 236.65/48.00 | (597) c_Int_OBit0(all_1256_2) = all_1256_1
% 236.65/48.00 | (598) c_Int_OBit1(c_Int_OPls) = all_1256_2
% 236.65/48.00 |
% 236.65/48.00 | DELTA: instantiating (220) with fresh symbols all_1259_0, all_1259_1,
% 236.65/48.00 | all_1259_2 gives:
% 236.65/48.00 | (599) c_Int_OBit1(c_Int_OPls) = all_1259_2 & c_Int_OBit0(all_1259_2) =
% 236.65/48.00 | all_1259_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 236.65/48.00 | all_1259_1) = all_1259_0 & $i(all_1259_0) & $i(all_1259_1) &
% 236.65/48.00 | $i(all_1259_2) & ! [v0: $i] : ! [v1: $i] : ( ~
% 236.65/48.00 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, all_1259_0) = v1) |
% 236.65/48.00 | ~ $i(v0) | ? [v2: $i] : (c_Nat_OSuc(v2) = v1 & c_Nat_OSuc(v0) = v2
% 236.65/48.00 | & $i(v2) & $i(v1)))
% 236.65/48.00 |
% 236.65/48.00 | ALPHA: (599) implies:
% 236.65/48.00 | (600) c_Int_OBit0(all_1259_2) = all_1259_1
% 236.65/48.00 | (601) c_Int_OBit1(c_Int_OPls) = all_1259_2
% 236.65/48.00 |
% 236.65/48.00 | DELTA: instantiating (117) with fresh symbol all_1262_0 gives:
% 236.65/48.00 | (602) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1262_0 &
% 236.65/48.00 | $i(all_1262_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 236.65/48.00 | $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v1)
% 236.65/48.00 | = v2) | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0,
% 236.65/48.00 | v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 236.65/48.00 | v2, v3) = all_1262_0) | ~ $i(v1) | ~ $i(v0) | (v1 =
% 236.65/48.00 | all_1262_0 & v0 = all_1262_0)) & ! [v0: $i] : ! [v1: int] : (v1
% 236.65/48.00 | = all_1262_0 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,
% 236.65/48.00 | all_1262_0, all_1262_0) = v0) | ~
% 236.65/48.00 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v0) = v1))
% 236.65/48.00 |
% 236.65/48.00 | ALPHA: (602) implies:
% 236.65/48.00 | (603) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1262_0
% 236.65/48.00 |
% 236.65/48.00 | DELTA: instantiating (111) with fresh symbol all_1265_0 gives:
% 236.65/48.00 | (604) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1265_0 &
% 236.65/48.00 | $i(all_1265_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ! [v3:
% 236.65/48.00 | $i] : ! [v4: $i] : (v2 = all_1265_0 | ~
% 236.65/48.00 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v2) = v3) | ~
% 236.65/48.00 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0, v2) = v4) | ~
% 236.65/48.00 | $i(v2) | ~ $i(v1) | ~ $i(v0) | (( ~ (v4 = v3) | v1 = v0) & ( ~
% 236.65/48.00 | (v1 = v0) | v4 = v3)))
% 236.65/48.00 |
% 236.65/48.00 | ALPHA: (604) implies:
% 236.65/48.00 | (605) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1265_0
% 236.65/48.00 |
% 236.65/48.00 | DELTA: instantiating (107) with fresh symbol all_1268_0 gives:
% 236.65/48.00 | (606) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 236.65/48.00 | all_1268_0 & $i(all_1268_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 236.65/48.00 | (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v0) = v1) | ~ $i(v0)
% 236.65/48.00 | | ? [v2: $i] : ? [v3: any] : ? [v4: $i] : ? [v5: any] :
% 236.65/48.00 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v_r) = v3
% 236.65/48.00 | & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1268_0,
% 236.65/48.00 | v4) = v5 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 236.65/48.00 | v1) = v4 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 236.65/48.00 | v0) = v2 & $i(v4) & $i(v2) & ( ~ (v3 = 0) | v5 = 0)))
% 236.65/48.00 |
% 236.65/48.00 | ALPHA: (606) implies:
% 236.65/48.00 | (607) $i(all_1268_0)
% 236.65/48.00 | (608) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 236.65/48.00 | all_1268_0
% 236.65/48.00 |
% 236.65/48.00 | DELTA: instantiating (191) with fresh symbol all_1271_0 gives:
% 236.65/48.00 | (609) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1271_0 &
% 236.65/48.00 | $i(all_1271_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 =
% 236.65/48.00 | all_1271_0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0)
% 236.65/48.00 | = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) &
% 236.65/48.00 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) = v3)) &
% 236.65/48.00 | ! [v0: $i] : ! [v1: $i] : ( ~
% 236.65/48.00 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = all_1271_0) |
% 236.65/48.00 | ~ $i(v1) | ~ $i(v0) |
% 236.65/48.00 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) = 0)
% 236.65/48.00 |
% 236.65/48.00 | ALPHA: (609) implies:
% 236.65/48.00 | (610) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1271_0
% 236.65/48.00 |
% 236.65/48.00 | DELTA: instantiating (109) with fresh symbols all_1274_0, all_1274_1,
% 236.65/48.00 | all_1274_2, all_1274_3, all_1274_4 gives:
% 237.05/48.00 | (611) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1274_3, v_r)
% 237.05/48.00 | = 0 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1274_4 &
% 237.05/48.00 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, all_1274_4) = all_1274_2
% 237.05/48.00 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1274_2) =
% 237.05/48.00 | all_1274_1 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 237.05/48.00 | all_1274_4) = all_1274_3 &
% 237.05/48.00 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1274_0) =
% 237.05/48.00 | all_1274_1 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 237.05/48.00 | all_1274_1) = all_1274_0 & $i(all_1274_0) & $i(all_1274_1) &
% 237.05/48.00 | $i(all_1274_2) & $i(all_1274_3) & $i(all_1274_4)
% 237.05/48.00 |
% 237.05/48.00 | ALPHA: (611) implies:
% 237.05/48.00 | (612) $i(all_1274_4)
% 237.05/48.00 | (613) $i(all_1274_2)
% 237.05/48.00 | (614) $i(all_1274_1)
% 237.05/48.00 | (615) $i(all_1274_0)
% 237.05/48.00 | (616) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1274_1) =
% 237.05/48.00 | all_1274_0
% 237.05/48.00 | (617) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1274_0) =
% 237.05/48.00 | all_1274_1
% 237.05/48.00 | (618) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1274_4) =
% 237.05/48.00 | all_1274_3
% 237.05/48.00 | (619) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1274_2) =
% 237.05/48.01 | all_1274_1
% 237.05/48.01 | (620) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1274_4
% 237.05/48.01 |
% 237.05/48.01 | DELTA: instantiating (133) with fresh symbols all_1276_0, all_1276_1 gives:
% 237.05/48.01 | (621) c_Int_OBit1(c_Int_OPls) = all_1276_1 & c_Int_OBit0(all_1276_1) =
% 237.05/48.01 | all_1276_0 & $i(all_1276_0) & $i(all_1276_1) & ! [v0: $i] : ! [v1:
% 237.05/48.01 | $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 237.05/48.01 | (c_Groups_Otimes__class_Otimes(v1, v0, v2) = v3) | ~
% 237.05/48.01 | (c_Int_Onumber__class_Onumber__of(v1, all_1276_0) = v2) | ~ $i(v1)
% 237.05/48.01 | | ~ $i(v0) | ? [v4: any] : ? [v5: $i] :
% 237.05/48.01 | (class_Int_Onumber__ring(v1) = v4 & c_Groups_Oplus__class_Oplus(v1,
% 237.05/48.01 | v0, v0) = v5 & $i(v5) & ( ~ (v4 = 0) | v5 = v3)))
% 237.05/48.01 |
% 237.05/48.01 | ALPHA: (621) implies:
% 237.05/48.01 | (622) c_Int_OBit0(all_1276_1) = all_1276_0
% 237.05/48.01 | (623) c_Int_OBit1(c_Int_OPls) = all_1276_1
% 237.05/48.01 |
% 237.05/48.01 | DELTA: instantiating (8) with fresh symbols all_1279_0, all_1279_1 gives:
% 237.05/48.01 | (624) c_Int_OBit1(c_Int_OPls) = all_1279_1 & c_Int_OBit0(all_1279_1) =
% 237.05/48.01 | all_1279_0 & $i(all_1279_0) & $i(all_1279_1) & ! [v0: $i] : ! [v1:
% 237.05/48.01 | $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v0, all_1279_0) = v1) |
% 237.05/48.01 | ~ $i(v0) | ? [v2: any] : ? [v3: $i] : ? [v4: $i] :
% 237.05/48.01 | (class_Int_Onumber__ring(v0) = v2 & c_Groups_Oone__class_Oone(v0) =
% 237.05/48.01 | v3 & c_Groups_Oplus__class_Oplus(v0, v3, v3) = v4 & $i(v4) &
% 237.05/48.01 | $i(v3) & ( ~ (v2 = 0) | v4 = v1)))
% 237.05/48.01 |
% 237.05/48.01 | ALPHA: (624) implies:
% 237.05/48.01 | (625) c_Int_OBit0(all_1279_1) = all_1279_0
% 237.05/48.01 | (626) c_Int_OBit1(c_Int_OPls) = all_1279_1
% 237.05/48.01 |
% 237.05/48.01 | DELTA: instantiating (162) with fresh symbol all_1282_0 gives:
% 237.05/48.01 | (627) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1282_0 &
% 237.05/48.01 | $i(all_1282_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.01 | $i] : ! [v4: $i] : ! [v5: int] : (v5 = 0 | ~
% 237.05/48.01 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v0) = v3) | ~
% 237.05/48.01 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1, v0) = v4) | ~
% 237.05/48.01 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4) = v5) | ~
% 237.05/48.01 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 237.05/48.01 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) = v6 &
% 237.05/48.01 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1282_0, v0) = v7 &
% 237.05/48.01 | ( ~ (v7 = 0) | ~ (v6 = 0))))
% 237.05/48.01 |
% 237.05/48.01 | ALPHA: (627) implies:
% 237.05/48.01 | (628) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1282_0
% 237.05/48.01 |
% 237.05/48.01 | DELTA: instantiating (20) with fresh symbol all_1285_0 gives:
% 237.05/48.01 | (629) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1285_0 &
% 237.05/48.01 | $i(all_1285_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 237.05/48.01 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 237.05/48.01 | $i(v0) | ? [v3: any] : ? [v4: $i] :
% 237.05/48.01 | (class_RealVector_Oreal__normed__vector(v1) = v3 &
% 237.05/48.01 | c_Groups_Ozero__class_Ozero(v1) = v4 & $i(v4) & ( ~ (v3 = 0) | ((
% 237.05/48.01 | ~ (v4 = v0) | v2 = all_1285_0) & ( ~ (v2 = all_1285_0) | v4
% 237.05/48.01 | = v0)))))
% 237.05/48.01 |
% 237.05/48.01 | ALPHA: (629) implies:
% 237.05/48.01 | (630) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1285_0
% 237.05/48.01 | (631) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 237.05/48.01 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 237.05/48.01 | $i(v0) | ? [v3: any] : ? [v4: $i] :
% 237.05/48.01 | (class_RealVector_Oreal__normed__vector(v1) = v3 &
% 237.05/48.01 | c_Groups_Ozero__class_Ozero(v1) = v4 & $i(v4) & ( ~ (v3 = 0) | ((
% 237.05/48.01 | ~ (v4 = v0) | v2 = all_1285_0) & ( ~ (v2 = all_1285_0) | v4
% 237.05/48.01 | = v0)))))
% 237.05/48.01 |
% 237.05/48.01 | DELTA: instantiating (213) with fresh symbols all_1288_0, all_1288_1,
% 237.05/48.01 | all_1288_2, all_1288_3, all_1288_4, all_1288_5 gives:
% 237.05/48.01 | (632) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1288_2 &
% 237.05/48.01 | c_Int_OBit1(all_1288_5) = all_1288_4 & c_Int_OBit1(c_Int_OPls) =
% 237.05/48.01 | all_1288_5 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 237.05/48.01 | all_1288_4) = all_1288_3 & c_Nat_OSuc(all_1288_0) = all_1288_3 &
% 237.05/48.01 | c_Nat_OSuc(all_1288_1) = all_1288_0 & c_Nat_OSuc(all_1288_2) =
% 237.05/48.01 | all_1288_1 & $i(all_1288_0) & $i(all_1288_1) & $i(all_1288_2) &
% 237.05/48.01 | $i(all_1288_3) & $i(all_1288_4) & $i(all_1288_5)
% 237.05/48.01 |
% 237.05/48.01 | ALPHA: (632) implies:
% 237.05/48.01 | (633) c_Nat_OSuc(all_1288_2) = all_1288_1
% 237.05/48.01 | (634) c_Int_OBit1(c_Int_OPls) = all_1288_5
% 237.05/48.01 | (635) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1288_2
% 237.05/48.01 |
% 237.05/48.01 | DELTA: instantiating (4) with fresh symbols all_1293_0, all_1293_1,
% 237.05/48.01 | all_1293_2, all_1293_3, all_1293_4, all_1293_5 gives:
% 237.05/48.01 | (636) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1293_5 &
% 237.05/48.01 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = all_1293_4 &
% 237.05/48.01 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1293_4) =
% 237.05/48.01 | all_1293_3 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 237.05/48.01 | v_s____) = all_1293_2 &
% 237.05/48.01 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1293_3,
% 237.05/48.01 | all_1293_2) = all_1293_1 &
% 237.05/48.01 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1293_1) = all_1293_0
% 237.05/48.01 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_5,
% 237.05/48.01 | all_1293_0) = 0 & $i(all_1293_0) & $i(all_1293_1) & $i(all_1293_2)
% 237.05/48.01 | & $i(all_1293_3) & $i(all_1293_4) & $i(all_1293_5)
% 237.05/48.01 |
% 237.05/48.01 | ALPHA: (636) implies:
% 237.05/48.01 | (637) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_5,
% 237.05/48.01 | all_1293_0) = 0
% 237.05/48.01 | (638) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1293_1) = all_1293_0
% 237.05/48.01 | (639) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1293_3,
% 237.05/48.01 | all_1293_2) = all_1293_1
% 237.05/48.01 | (640) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.05/48.01 | all_1293_2
% 237.05/48.01 | (641) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1293_4) =
% 237.05/48.01 | all_1293_3
% 237.05/48.01 | (642) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = all_1293_4
% 237.05/48.01 | (643) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1293_5
% 237.05/48.01 |
% 237.05/48.01 | DELTA: instantiating (116) with fresh symbol all_1295_0 gives:
% 237.05/48.01 | (644) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1295_0 &
% 237.05/48.01 | $i(all_1295_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.01 | $i] : ! [v4: $i] : ! [v5: int] : (v5 = 0 | ~
% 237.05/48.01 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 237.05/48.01 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v0) = v4) | ~
% 237.05/48.01 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v4) = v5) | ~
% 237.05/48.01 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 237.05/48.01 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) = v7 &
% 237.05/48.01 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1295_0, v2) =
% 237.05/48.01 | v6 & ( ~ (v7 = 0) | ~ (v6 = 0))))
% 237.05/48.01 |
% 237.05/48.01 | ALPHA: (644) implies:
% 237.05/48.01 | (645) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1295_0
% 237.05/48.01 |
% 237.05/48.01 | DELTA: instantiating (151) with fresh symbol all_1298_0 gives:
% 237.05/48.01 | (646) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1298_0 &
% 237.05/48.01 | $i(all_1298_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 =
% 237.05/48.01 | all_1298_0 | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1, v0)
% 237.05/48.01 | = v2) | ~ $i(v1) | ~ $i(v0) | ( ~ (v1 = all_1298_0) & ~ (v0 =
% 237.05/48.01 | all_1298_0))) & ! [v0: any] : ! [v1: any] : (v1 = all_1298_0
% 237.05/48.01 | | v0 = all_1298_0 | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat,
% 237.05/48.01 | v1, v0) = all_1298_0) | ~ $i(v1) | ~ $i(v0))
% 237.05/48.01 |
% 237.05/48.01 | ALPHA: (646) implies:
% 237.05/48.01 | (647) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1298_0
% 237.05/48.01 |
% 237.05/48.01 | DELTA: instantiating (163) with fresh symbol all_1301_0 gives:
% 237.05/48.01 | (648) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1301_0 &
% 237.05/48.01 | $i(all_1301_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.01 | $i] : ! [v4: $i] : ! [v5: int] : (v5 = 0 | ~
% 237.05/48.01 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0, v2) = v3) | ~
% 237.05/48.01 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0, v1) = v4) | ~
% 237.05/48.01 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4) = v5) | ~
% 237.05/48.01 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 237.05/48.01 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) = v6 &
% 237.05/48.01 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1301_0, v0) = v7 &
% 237.05/48.01 | ( ~ (v7 = 0) | ~ (v6 = 0))))
% 237.05/48.01 |
% 237.05/48.01 | ALPHA: (648) implies:
% 237.05/48.01 | (649) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1301_0
% 237.05/48.01 |
% 237.05/48.01 | DELTA: instantiating (242) with fresh symbol all_1304_0 gives:
% 237.05/48.01 | (650) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1304_0 &
% 237.05/48.01 | $i(all_1304_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.01 | $i] : ! [v4: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat,
% 237.05/48.01 | v2, v1) = v3) | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat,
% 237.05/48.01 | v2, v0) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5:
% 237.05/48.01 | int] : ( ~ (v5 = 0) & c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 237.05/48.01 | all_1304_0, v2) = v5) | (( ~ (v4 = v3) | v1 = v0) & ( ~ (v1 =
% 237.05/48.01 | v0) | v4 = v3)))
% 237.05/48.01 |
% 237.05/48.01 | ALPHA: (650) implies:
% 237.05/48.01 | (651) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1304_0
% 237.05/48.01 |
% 237.05/48.01 | DELTA: instantiating (228) with fresh symbols all_1307_0, all_1307_1 gives:
% 237.05/48.01 | (652) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1307_0 &
% 237.05/48.01 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1307_1 &
% 237.05/48.01 | $i(all_1307_0) & $i(all_1307_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 237.05/48.01 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1) | ~
% 237.05/48.01 | $i(v0) | ? [v2: any] : ? [v3: $i] : ? [v4: $i] :
% 237.05/48.01 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_1307_0) = v3 &
% 237.05/48.01 | c_Nat_OSuc(v3) = v4 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 237.05/48.01 | all_1307_1, v1) = v2 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | v4 =
% 237.05/48.01 | v1)))
% 237.05/48.01 |
% 237.05/48.01 | ALPHA: (652) implies:
% 237.05/48.01 | (653) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1307_1
% 237.05/48.01 |
% 237.05/48.01 | DELTA: instantiating (132) with fresh symbols all_1313_0, all_1313_1 gives:
% 237.05/48.01 | (654) c_Int_OBit1(c_Int_OPls) = all_1313_1 & c_Int_OBit0(all_1313_1) =
% 237.05/48.01 | all_1313_0 & $i(all_1313_0) & $i(all_1313_1) & ! [v0: $i] : ! [v1:
% 237.05/48.01 | $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 237.05/48.01 | (c_Groups_Otimes__class_Otimes(v1, v2, v0) = v3) | ~
% 237.05/48.01 | (c_Int_Onumber__class_Onumber__of(v1, all_1313_0) = v2) | ~ $i(v1)
% 237.05/48.01 | | ~ $i(v0) | ? [v4: any] : ? [v5: $i] :
% 237.05/48.01 | (class_Int_Onumber__ring(v1) = v4 & c_Groups_Oplus__class_Oplus(v1,
% 237.05/48.01 | v0, v0) = v5 & $i(v5) & ( ~ (v4 = 0) | v5 = v3)))
% 237.05/48.01 |
% 237.05/48.01 | ALPHA: (654) implies:
% 237.05/48.01 | (655) c_Int_OBit0(all_1313_1) = all_1313_0
% 237.05/48.01 | (656) c_Int_OBit1(c_Int_OPls) = all_1313_1
% 237.05/48.01 |
% 237.05/48.01 | DELTA: instantiating (92) with fresh symbol all_1316_0 gives:
% 237.05/48.01 | (657) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1316_0 &
% 237.05/48.01 | $i(all_1316_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 =
% 237.05/48.01 | all_1316_0 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1,
% 237.05/48.01 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ( ~ (v3 = v0)
% 237.05/48.01 | & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3 &
% 237.05/48.01 | $i(v3))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 237.05/48.01 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) =
% 237.05/48.01 | all_1316_0) | ~ $i(v1) | ~ $i(v0) |
% 237.05/48.01 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v0)
% 237.05/48.01 |
% 237.05/48.01 | ALPHA: (657) implies:
% 237.05/48.01 | (658) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1316_0
% 237.05/48.01 |
% 237.05/48.01 | DELTA: instantiating (51) with fresh symbols all_1319_0, all_1319_1,
% 237.05/48.01 | all_1319_2, all_1319_3, all_1319_4, all_1319_5 gives:
% 237.05/48.01 | (659) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1319_5,
% 237.05/48.01 | all_1319_0) = 0 & hAPP(v_f____, all_1319_4) = all_1319_3 &
% 237.05/48.01 | v_g____(all_1319_3) = all_1319_2 &
% 237.05/48.01 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, all_1319_2) = all_1319_1
% 237.05/48.01 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1319_1) =
% 237.05/48.01 | all_1319_0 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 237.05/48.01 | v_s____) = all_1319_5 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat,
% 237.05/48.01 | v_N1____, v_N2____) = all_1319_4 & $i(all_1319_0) & $i(all_1319_1)
% 237.05/48.01 | & $i(all_1319_2) & $i(all_1319_3) & $i(all_1319_4) & $i(all_1319_5)
% 237.05/48.01 |
% 237.05/48.01 | ALPHA: (659) implies:
% 237.05/48.01 | (660) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) =
% 237.05/48.01 | all_1319_4
% 237.05/48.01 | (661) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.05/48.01 | all_1319_5
% 237.05/48.01 | (662) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1319_1) =
% 237.05/48.01 | all_1319_0
% 237.05/48.01 | (663) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, all_1319_2) = all_1319_1
% 237.05/48.01 | (664) v_g____(all_1319_3) = all_1319_2
% 237.05/48.01 | (665) hAPP(v_f____, all_1319_4) = all_1319_3
% 237.05/48.01 |
% 237.05/48.01 | DELTA: instantiating (142) with fresh symbol all_1321_0 gives:
% 237.05/48.01 | (666) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1321_0 &
% 237.05/48.01 | $i(all_1321_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.01 | $i] : ! [v4: $i] : ! [v5: int] : (v5 = 0 | ~
% 237.05/48.01 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v0, v2) = v3) | ~
% 237.05/48.01 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v0, v1) = v4) | ~
% 237.05/48.01 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v4) = v5) | ~
% 237.05/48.01 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 237.05/48.01 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v6 &
% 237.05/48.01 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1321_0, v0) = v7 &
% 237.05/48.01 | ( ~ (v7 = 0) | ~ (v6 = 0))))
% 237.05/48.01 |
% 237.05/48.01 | ALPHA: (666) implies:
% 237.05/48.01 | (667) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1321_0
% 237.05/48.01 |
% 237.05/48.01 | DELTA: instantiating (13) with fresh symbols all_1327_0, all_1327_1 gives:
% 237.05/48.01 | (668) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1327_0 &
% 237.05/48.01 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.05/48.01 | all_1327_1 & $i(all_1327_0) & $i(all_1327_1) & ! [v0: $i] : ! [v1:
% 237.05/48.01 | $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 237.05/48.01 | [v6: $i] : ! [v7: $i] : ! [v8: int] : (v8 = 0 | ~ (v_g____(v0) =
% 237.05/48.01 | v1) | ~ (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v1) = v2)
% 237.05/48.01 | | ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) =
% 237.05/48.01 | v3) | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 237.05/48.01 | all_1327_0, v5) = v6) | ~
% 237.05/48.01 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1327_1, v6) =
% 237.05/48.01 | v7) | ~ (c_Nat_OSuc(v0) = v4) | ~ (c_RealDef_Oreal(tc_Nat_Onat,
% 237.05/48.01 | v4) = v5) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 237.05/48.01 | v3, v7) = v8) | ~ $i(v0))
% 237.05/48.01 |
% 237.05/48.01 | ALPHA: (668) implies:
% 237.05/48.01 | (669) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.05/48.01 | all_1327_1
% 237.05/48.01 | (670) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1327_0
% 237.05/48.01 |
% 237.05/48.01 | DELTA: instantiating (24) with fresh symbol all_1330_0 gives:
% 237.05/48.01 | (671) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1330_0 &
% 237.05/48.01 | $i(all_1330_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 237.05/48.01 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 237.05/48.01 | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] :
% 237.05/48.01 | (class_RealVector_Oreal__normed__vector(v1) = v3 &
% 237.05/48.01 | c_Groups_Ozero__class_Ozero(v1) = v5 &
% 237.05/48.01 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1330_0, v2) =
% 237.05/48.01 | v4 & $i(v5) & ( ~ (v3 = 0) | (( ~ (v5 = v0) | ~ (v4 = 0)) & (v5
% 237.05/48.01 | = v0 | v4 = 0)))))
% 237.05/48.01 |
% 237.05/48.01 | ALPHA: (671) implies:
% 237.05/48.01 | (672) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1330_0
% 237.05/48.01 | (673) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 237.05/48.01 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 237.05/48.01 | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] :
% 237.05/48.01 | (class_RealVector_Oreal__normed__vector(v1) = v3 &
% 237.05/48.01 | c_Groups_Ozero__class_Ozero(v1) = v5 &
% 237.05/48.01 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1330_0, v2) =
% 237.05/48.01 | v4 & $i(v5) & ( ~ (v3 = 0) | (( ~ (v5 = v0) | ~ (v4 = 0)) & (v5
% 237.05/48.01 | = v0 | v4 = 0)))))
% 237.05/48.01 |
% 237.05/48.01 | DELTA: instantiating (83) with fresh symbol all_1333_0 gives:
% 237.05/48.02 | (674) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1333_0 &
% 237.05/48.02 | $i(all_1333_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 237.05/48.02 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 237.05/48.02 | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] :
% 237.05/48.02 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 237.05/48.02 | all_1333_0) = v4 & class_RealVector_Oreal__normed__vector(v1) =
% 237.05/48.02 | v3 & c_Groups_Ozero__class_Ozero(v1) = v5 & $i(v5) & ( ~ (v3 = 0)
% 237.05/48.02 | | (( ~ (v5 = v0) | v4 = 0) & ( ~ (v4 = 0) | v5 = v0)))))
% 237.05/48.02 |
% 237.05/48.02 | ALPHA: (674) implies:
% 237.05/48.02 | (675) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1333_0
% 237.05/48.02 | (676) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 237.05/48.02 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 237.05/48.02 | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] :
% 237.05/48.02 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 237.05/48.02 | all_1333_0) = v4 & class_RealVector_Oreal__normed__vector(v1) =
% 237.05/48.02 | v3 & c_Groups_Ozero__class_Ozero(v1) = v5 & $i(v5) & ( ~ (v3 = 0)
% 237.05/48.02 | | (( ~ (v5 = v0) | v4 = 0) & ( ~ (v4 = 0) | v5 = v0)))))
% 237.05/48.02 |
% 237.05/48.02 | DELTA: instantiating (41) with fresh symbols all_1336_0, all_1336_1,
% 237.05/48.02 | all_1336_2 gives:
% 237.05/48.02 | (677) c_Int_OBit1(c_Int_OPls) = all_1336_2 & c_Int_OBit0(all_1336_2) =
% 237.05/48.02 | all_1336_1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 237.05/48.02 | all_1336_1) = all_1336_0 & $i(all_1336_0) & $i(all_1336_1) &
% 237.05/48.02 | $i(all_1336_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.02 | $i] : ! [v4: int] : (v4 = 0 | ~
% 237.05/48.02 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, all_1336_0)
% 237.05/48.02 | = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0)
% 237.05/48.02 | = v2) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 237.05/48.02 | v3) = v4) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = 0)
% 237.05/48.02 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) = v5))
% 237.05/48.02 |
% 237.05/48.02 | ALPHA: (677) implies:
% 237.05/48.02 | (678) $i(all_1336_0)
% 237.05/48.02 | (679) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1336_1) =
% 237.05/48.02 | all_1336_0
% 237.05/48.02 | (680) c_Int_OBit0(all_1336_2) = all_1336_1
% 237.05/48.02 | (681) c_Int_OBit1(c_Int_OPls) = all_1336_2
% 237.05/48.02 |
% 237.05/48.02 | DELTA: instantiating (214) with fresh symbols all_1339_0, all_1339_1,
% 237.05/48.02 | all_1339_2 gives:
% 237.05/48.02 | (682) c_Int_OBit1(all_1339_2) = all_1339_1 & c_Int_OBit1(c_Int_OPls) =
% 237.05/48.02 | all_1339_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 237.05/48.02 | all_1339_1) = all_1339_0 & $i(all_1339_0) & $i(all_1339_1) &
% 237.05/48.02 | $i(all_1339_2) & ! [v0: $i] : ! [v1: $i] : ( ~
% 237.05/48.02 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_1339_0, v0) = v1) |
% 237.05/48.02 | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] : (c_Nat_OSuc(v3) = v1 &
% 237.05/48.02 | c_Nat_OSuc(v2) = v3 & c_Nat_OSuc(v0) = v2 & $i(v3) & $i(v2) &
% 237.05/48.02 | $i(v1)))
% 237.05/48.02 |
% 237.05/48.02 | ALPHA: (682) implies:
% 237.05/48.02 | (683) c_Int_OBit1(c_Int_OPls) = all_1339_2
% 237.05/48.02 |
% 237.05/48.02 | DELTA: instantiating (79) with fresh symbol all_1342_0 gives:
% 237.05/48.02 | (684) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1342_0 &
% 237.05/48.02 | $i(all_1342_0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 237.05/48.02 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_1342_0) = v1) |
% 237.05/48.02 | ~ $i(v0) | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) &
% 237.05/48.02 | c_Int_OBit1(v0) = v2 & c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 237.05/48.02 | v2, all_1342_0) = v3 & $i(v2))) & ! [v0: $i] : ( ~
% 237.05/48.02 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_1342_0) = 0) |
% 237.05/48.02 | ~ $i(v0) | ? [v1: $i] : (c_Int_OBit1(v0) = v1 &
% 237.05/48.02 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, all_1342_0) = 0 &
% 237.05/48.02 | $i(v1)))
% 237.05/48.02 |
% 237.05/48.02 | ALPHA: (684) implies:
% 237.05/48.02 | (685) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1342_0
% 237.05/48.02 |
% 237.05/48.02 | DELTA: instantiating (81) with fresh symbol all_1345_0 gives:
% 237.05/48.02 | (686) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1345_0 &
% 237.05/48.02 | $i(all_1345_0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 237.05/48.02 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_1345_0) = v1) |
% 237.05/48.02 | ~ $i(v0) | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) &
% 237.05/48.02 | c_Int_OBit0(v0) = v2 & c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 237.05/48.02 | v2, all_1345_0) = v3 & $i(v2))) & ! [v0: $i] : ( ~
% 237.05/48.02 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_1345_0) = 0) |
% 237.05/48.02 | ~ $i(v0) | ? [v1: $i] : (c_Int_OBit0(v0) = v1 &
% 237.05/48.02 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, all_1345_0) = 0 &
% 237.05/48.02 | $i(v1)))
% 237.05/48.02 |
% 237.05/48.02 | ALPHA: (686) implies:
% 237.05/48.02 | (687) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1345_0
% 237.05/48.02 |
% 237.05/48.02 | DELTA: instantiating (125) with fresh symbol all_1348_0 gives:
% 237.05/48.02 | (688) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1348_0 & $i(all_1348_0)
% 237.05/48.02 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 |
% 237.05/48.02 | ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0) = v3) |
% 237.05/48.02 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, all_1348_0) = v2) |
% 237.05/48.02 | ~ $i(v1) | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) &
% 237.05/48.02 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = v4)) & !
% 237.05/48.02 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 237.05/48.02 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0) = 0) | ~
% 237.05/48.02 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, all_1348_0) = v2) |
% 237.05/48.02 | ~ $i(v1) | ~ $i(v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 237.05/48.02 | v1, v0) = 0)
% 237.05/48.02 |
% 237.05/48.02 | ALPHA: (688) implies:
% 237.05/48.02 | (689) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1348_0
% 237.05/48.02 |
% 237.05/48.02 | DELTA: instantiating (124) with fresh symbol all_1351_0 gives:
% 237.05/48.02 | (690) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1351_0 & $i(all_1351_0)
% 237.05/48.02 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 |
% 237.05/48.02 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_1351_0) = v2) |
% 237.05/48.02 | ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) = v3) | ~
% 237.05/48.02 | $i(v1) | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) &
% 237.05/48.02 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) = v4)) &
% 237.05/48.02 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 237.05/48.02 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_1351_0) = v2) |
% 237.05/48.02 | ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) = 0) | ~
% 237.05/48.02 | $i(v1) | ~ $i(v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 237.05/48.02 | v1, v0) = 0)
% 237.05/48.02 |
% 237.05/48.02 | ALPHA: (690) implies:
% 237.05/48.02 | (691) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1351_0
% 237.05/48.02 |
% 237.05/48.02 | DELTA: instantiating (215) with fresh symbol all_1354_0 gives:
% 237.05/48.02 | (692) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1354_0 &
% 237.05/48.02 | $i(all_1354_0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 237.05/48.02 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) = v1) |
% 237.05/48.02 | ~ $i(v0) | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) &
% 237.05/48.02 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v2 &
% 237.05/48.02 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1354_0, v2) = v3 &
% 237.05/48.02 | $i(v2))) & ! [v0: $i] : ( ~
% 237.05/48.02 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) = 0) |
% 237.05/48.02 | ~ $i(v0) | ? [v1: $i] :
% 237.05/48.02 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1 &
% 237.05/48.02 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1354_0, v1) = 0 &
% 237.05/48.02 | $i(v1)))
% 237.05/48.02 |
% 237.05/48.02 | ALPHA: (692) implies:
% 237.05/48.02 | (693) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1354_0
% 237.05/48.02 |
% 237.05/48.02 | DELTA: instantiating (110) with fresh symbol all_1357_0 gives:
% 237.05/48.02 | (694) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1357_0 &
% 237.05/48.02 | $i(all_1357_0) & ! [v0: $i] : ( ~
% 237.05/48.02 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1357_0, v0) =
% 237.05/48.02 | 0) | ~ $i(v0) | ? [v1: $i] : ($i(v1) & ! [v2: $i] : ! [v3:
% 237.05/48.02 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: int] :
% 237.05/48.02 | (v7 = 0 | ~ (hAPP(v_f____, v2) = v3) | ~ (v_g____(v3) = v4) |
% 237.05/48.02 | ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) =
% 237.05/48.02 | v6) | ~ (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,
% 237.05/48.02 | v4, v_z____) = v5) | ~
% 237.05/48.02 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v0) = v7)
% 237.05/48.02 | | ~ $i(v2) | ? [v8: int] : ( ~ (v8 = 0) &
% 237.05/48.02 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v2) =
% 237.05/48.02 | v8))))
% 237.05/48.02 |
% 237.05/48.02 | ALPHA: (694) implies:
% 237.05/48.02 | (695) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1357_0
% 237.05/48.02 |
% 237.05/48.02 | DELTA: instantiating (202) with fresh symbols all_1360_0, all_1360_1,
% 237.05/48.02 | all_1360_2, all_1360_3, all_1360_4 gives:
% 237.05/48.02 | (696) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1360_1 &
% 237.05/48.02 | c_Int_OBit1(c_Int_OPls) = all_1360_4 & c_Int_OBit0(all_1360_4) =
% 237.05/48.02 | all_1360_3 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 237.05/48.02 | all_1360_3) = all_1360_2 & c_Nat_OSuc(all_1360_1) = all_1360_0 &
% 237.05/48.02 | $i(all_1360_0) & $i(all_1360_1) & $i(all_1360_2) & $i(all_1360_3) &
% 237.05/48.02 | $i(all_1360_4) & ! [v0: any] : (v0 = all_1360_0 | v0 = all_1360_1 |
% 237.05/48.02 | ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_1360_2) = 0)
% 237.05/48.02 | | ~ $i(v0))
% 237.05/48.02 |
% 237.05/48.02 | ALPHA: (696) implies:
% 237.05/48.02 | (697) c_Nat_OSuc(all_1360_1) = all_1360_0
% 237.05/48.02 | (698) c_Int_OBit0(all_1360_4) = all_1360_3
% 237.05/48.02 | (699) c_Int_OBit1(c_Int_OPls) = all_1360_4
% 237.05/48.02 | (700) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1360_1
% 237.05/48.02 |
% 237.05/48.02 | DELTA: instantiating (40) with fresh symbols all_1363_0, all_1363_1,
% 237.05/48.02 | all_1363_2 gives:
% 237.05/48.02 | (701) c_Int_OBit1(c_Int_OPls) = all_1363_2 & c_Int_OBit0(all_1363_2) =
% 237.05/48.02 | all_1363_1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 237.05/48.02 | all_1363_1) = all_1363_0 & $i(all_1363_0) & $i(all_1363_1) &
% 237.05/48.02 | $i(all_1363_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.02 | $i] : ! [v4: int] : (v4 = 0 | ~
% 237.05/48.02 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, all_1363_0)
% 237.05/48.02 | = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0)
% 237.05/48.02 | = v2) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3,
% 237.05/48.02 | v0) = v4) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = 0)
% 237.05/48.02 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) = v5))
% 237.05/48.02 |
% 237.05/48.02 | ALPHA: (701) implies:
% 237.05/48.02 | (702) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1363_1) =
% 237.05/48.02 | all_1363_0
% 237.05/48.02 | (703) c_Int_OBit0(all_1363_2) = all_1363_1
% 237.05/48.02 | (704) c_Int_OBit1(c_Int_OPls) = all_1363_2
% 237.05/48.02 |
% 237.05/48.02 | DELTA: instantiating (128) with fresh symbol all_1366_0 gives:
% 237.05/48.02 | (705) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1366_0 & $i(all_1366_0)
% 237.05/48.02 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 |
% 237.05/48.02 | ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v2) = v3) |
% 237.05/48.02 | ~ (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v0, all_1366_0) = v2)
% 237.05/48.02 | | ~ $i(v1) | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) &
% 237.05/48.02 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = v4)) & !
% 237.05/48.02 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 237.05/48.02 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v2) = 0) | ~
% 237.05/48.02 | (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v0, all_1366_0) = v2) |
% 237.05/48.02 | ~ $i(v1) | ~ $i(v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 237.05/48.02 | v1, v0) = 0)
% 237.05/48.02 |
% 237.05/48.02 | ALPHA: (705) implies:
% 237.05/48.02 | (706) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1366_0
% 237.05/48.02 |
% 237.05/48.02 | DELTA: instantiating (243) with fresh symbol all_1369_0 gives:
% 237.05/48.02 | (707) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1369_0 &
% 237.05/48.02 | $i(all_1369_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.02 | $i] : ! [v4: $i] : ! [v5: any] : ( ~
% 237.05/48.02 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v1) = v3) | ~
% 237.05/48.02 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v0) = v4) | ~
% 237.05/48.02 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4) = v5) | ~
% 237.05/48.02 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 237.05/48.02 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) = v7 &
% 237.05/48.02 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1369_0, v2) = v6 &
% 237.05/48.02 | ( ~ (v6 = 0) | (( ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | v7 =
% 237.05/48.02 | 0)))))
% 237.05/48.02 |
% 237.05/48.02 | ALPHA: (707) implies:
% 237.05/48.02 | (708) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1369_0
% 237.05/48.02 |
% 237.05/48.02 | DELTA: instantiating (237) with fresh symbol all_1372_0 gives:
% 237.05/48.02 | (709) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1372_0 &
% 237.05/48.02 | $i(all_1372_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.02 | $i] : ! [v4: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint,
% 237.05/48.02 | v2, v1) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint,
% 237.05/48.02 | v3, v0) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5:
% 237.05/48.02 | any] : ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 237.05/48.02 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1372_0, v4) =
% 237.05/48.02 | v5 & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1372_0,
% 237.05/48.02 | v1) = v8 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) =
% 237.05/48.02 | v6 & c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1372_0, v2) =
% 237.05/48.02 | v7 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v8 = 0)))
% 237.05/48.02 |
% 237.05/48.02 | ALPHA: (709) implies:
% 237.05/48.02 | (710) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1372_0
% 237.05/48.02 |
% 237.05/48.02 | DELTA: instantiating (121) with fresh symbol all_1375_0 gives:
% 237.05/48.02 | (711) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1375_0 &
% 237.05/48.02 | $i(all_1375_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.02 | $i] : ! [v4: $i] : ! [v5: any] : ( ~
% 237.05/48.02 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v2) = v3) | ~
% 237.05/48.02 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0, v2) = v4) | ~
% 237.05/48.02 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v4) = v5)
% 237.05/48.02 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 237.05/48.02 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) = v7 &
% 237.05/48.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1375_0, v2) =
% 237.05/48.02 | v6 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | v7 =
% 237.05/48.02 | 0)))))
% 237.05/48.02 |
% 237.05/48.02 | ALPHA: (711) implies:
% 237.05/48.02 | (712) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1375_0
% 237.05/48.02 |
% 237.05/48.02 | DELTA: instantiating (10) with fresh symbol all_1378_0 gives:
% 237.05/48.02 | (713) c_Int_OBit1(c_Int_OPls) = all_1378_0 & $i(all_1378_0) & ! [v0: $i] :
% 237.05/48.02 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 237.05/48.02 | (c_Int_Onumber__class_Onumber__of(v1, v2) = v3) | ~
% 237.05/48.02 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_1378_0) = v2) |
% 237.05/48.02 | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: $i] : ? [v6: $i] :
% 237.05/48.02 | ? [v7: $i] : (class_Int_Onumber__ring(v1) = v4 &
% 237.05/48.02 | c_Groups_Oone__class_Oone(v1) = v6 &
% 237.05/48.02 | c_Int_Onumber__class_Onumber__of(v1, v0) = v5 &
% 237.05/48.02 | c_Groups_Oplus__class_Oplus(v1, v5, v6) = v7 & $i(v7) & $i(v6) &
% 237.05/48.02 | $i(v5) & ( ~ (v4 = 0) | v7 = v3)))
% 237.05/48.02 |
% 237.05/48.02 | ALPHA: (713) implies:
% 237.05/48.02 | (714) c_Int_OBit1(c_Int_OPls) = all_1378_0
% 237.05/48.02 |
% 237.05/48.02 | DELTA: instantiating (39) with fresh symbols all_1381_0, all_1381_1,
% 237.05/48.02 | all_1381_2 gives:
% 237.05/48.02 | (715) c_Int_OBit1(c_Int_OPls) = all_1381_2 & c_Int_OBit0(all_1381_2) =
% 237.05/48.02 | all_1381_1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 237.05/48.02 | all_1381_1) = all_1381_0 & $i(all_1381_0) & $i(all_1381_1) &
% 237.05/48.02 | $i(all_1381_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.02 | $i] : ! [v4: $i] : ( ~
% 237.05/48.02 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v1) = v4) | ~
% 237.05/48.02 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, all_1381_0)
% 237.05/48.02 | = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0)
% 237.05/48.02 | = v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] :
% 237.05/48.02 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v0, v1) = v5 &
% 237.05/48.02 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, all_1381_0)
% 237.05/48.02 | = v4 & $i(v5) & $i(v4)))
% 237.05/48.02 |
% 237.05/48.02 | ALPHA: (715) implies:
% 237.05/48.03 | (716) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1381_1) =
% 237.05/48.03 | all_1381_0
% 237.05/48.03 | (717) c_Int_OBit0(all_1381_2) = all_1381_1
% 237.05/48.03 | (718) c_Int_OBit1(c_Int_OPls) = all_1381_2
% 237.05/48.03 |
% 237.05/48.03 | DELTA: instantiating (238) with fresh symbols all_1384_0, all_1384_1 gives:
% 237.05/48.03 | (719) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1384_0 &
% 237.05/48.03 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1384_1 &
% 237.05/48.03 | $i(all_1384_0) & $i(all_1384_1) & ! [v0: $i] : ! [v1: any] : !
% 237.05/48.03 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = all_1384_1 | ~
% 237.05/48.03 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v0) = v3) | ~
% 237.05/48.03 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_1384_0) = v2) |
% 237.05/48.03 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v3) = v4) | ~
% 237.05/48.03 | $i(v1) | ~ $i(v0) | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat,
% 237.05/48.03 | v1, v0) = v4 & $i(v4))) & ! [v0: $i] : ! [v1: int] : (v1 =
% 237.05/48.03 | all_1384_1 | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat,
% 237.05/48.03 | all_1384_1, v0) = v1) | ~ $i(v0))
% 237.05/48.03 |
% 237.05/48.03 | ALPHA: (719) implies:
% 237.05/48.03 | (720) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1384_1
% 237.05/48.03 |
% 237.05/48.03 | DELTA: instantiating (9) with fresh symbol all_1387_0 gives:
% 237.05/48.03 | (721) c_Int_OBit1(c_Int_OPls) = all_1387_0 & $i(all_1387_0) & ! [v0: $i] :
% 237.05/48.03 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 237.05/48.03 | (c_Int_Onumber__class_Onumber__of(v1, v2) = v3) | ~
% 237.05/48.03 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_1387_0, v0) = v2) |
% 237.05/48.03 | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: $i] : ? [v6: $i] :
% 237.05/48.03 | ? [v7: $i] : (class_Int_Onumber__ring(v1) = v4 &
% 237.05/48.03 | c_Groups_Oone__class_Oone(v1) = v5 &
% 237.05/48.03 | c_Int_Onumber__class_Onumber__of(v1, v0) = v6 &
% 237.05/48.03 | c_Groups_Oplus__class_Oplus(v1, v5, v6) = v7 & $i(v7) & $i(v6) &
% 237.05/48.03 | $i(v5) & ( ~ (v4 = 0) | v7 = v3)))
% 237.05/48.03 |
% 237.05/48.03 | ALPHA: (721) implies:
% 237.05/48.03 | (722) c_Int_OBit1(c_Int_OPls) = all_1387_0
% 237.05/48.03 |
% 237.05/48.03 | DELTA: instantiating (231) with fresh symbols all_1390_0, all_1390_1 gives:
% 237.05/48.03 | (723) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1390_0 &
% 237.05/48.03 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1390_1 &
% 237.05/48.03 | $i(all_1390_0) & $i(all_1390_1) & ! [v0: $i] : ! [v1: any] : !
% 237.05/48.03 | [v2: $i] : ! [v3: $i] : (v1 = all_1390_1 | ~
% 237.05/48.03 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_1390_0) = v2) |
% 237.05/48.03 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v3) | ~
% 237.05/48.03 | $i(v1) | ~ $i(v0) | ? [v4: $i] :
% 237.05/48.03 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v4 &
% 237.05/48.03 | c_Nat_OSuc(v3) = v4 & $i(v4))) & ! [v0: $i] : ! [v1: $i] : (v1
% 237.05/48.03 | = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_1390_1, v0)
% 237.05/48.03 | = v1) | ~ $i(v0))
% 237.05/48.03 |
% 237.05/48.03 | ALPHA: (723) implies:
% 237.05/48.03 | (724) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1390_1
% 237.05/48.03 |
% 237.05/48.03 | DELTA: instantiating (114) with fresh symbol all_1393_0 gives:
% 237.05/48.03 | (725) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1393_0 &
% 237.05/48.03 | $i(all_1393_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.03 | $i] : ! [v4: $i] : ! [v5: any] : ( ~
% 237.05/48.03 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v2) = v3) | ~
% 237.05/48.03 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0, v2) = v4) | ~
% 237.05/48.03 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v4) = v5) | ~
% 237.05/48.03 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 237.05/48.03 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) = v7 &
% 237.05/48.03 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1393_0, v2) =
% 237.05/48.03 | v6 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | v7 =
% 237.05/48.03 | 0)))))
% 237.05/48.03 |
% 237.05/48.03 | ALPHA: (725) implies:
% 237.05/48.03 | (726) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1393_0
% 237.05/48.03 |
% 237.05/48.03 | DELTA: instantiating (244) with fresh symbol all_1396_0 gives:
% 237.05/48.03 | (727) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1396_0 &
% 237.05/48.03 | $i(all_1396_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.03 | $i] : ! [v4: $i] : ! [v5: any] : ( ~
% 237.05/48.03 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v1) = v3) | ~
% 237.05/48.03 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v0) = v4) | ~
% 237.05/48.03 | (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v4) = v5) | ~
% 237.05/48.03 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 237.05/48.03 | (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) = v7 &
% 237.05/48.03 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1396_0, v2) = v6 &
% 237.05/48.03 | ( ~ (v6 = 0) | (( ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | v7 =
% 237.05/48.03 | 0)))))
% 237.05/48.03 |
% 237.05/48.03 | ALPHA: (727) implies:
% 237.05/48.03 | (728) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1396_0
% 237.05/48.03 |
% 237.05/48.03 | DELTA: instantiating (236) with fresh symbol all_1399_0 gives:
% 237.05/48.03 | (729) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1399_0 &
% 237.05/48.03 | $i(all_1399_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.03 | $i] : ! [v4: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint,
% 237.05/48.03 | v2, v1) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint,
% 237.05/48.03 | v3, v0) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5:
% 237.05/48.03 | any] : ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 237.05/48.03 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, all_1399_0) =
% 237.05/48.03 | v8 & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1399_0,
% 237.05/48.03 | v0) = v6 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v4,
% 237.05/48.03 | all_1399_0) = v5 & c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 237.05/48.03 | all_1399_0, v2) = v7 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0)
% 237.05/48.03 | | v8 = 0)))
% 237.05/48.03 |
% 237.05/48.03 | ALPHA: (729) implies:
% 237.05/48.03 | (730) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1399_0
% 237.05/48.03 |
% 237.05/48.03 | DELTA: instantiating (37) with fresh symbols all_1402_0, all_1402_1 gives:
% 237.05/48.03 | (731) c_Int_OBit1(c_Int_OPls) = all_1402_1 & c_Int_OBit0(all_1402_1) =
% 237.05/48.03 | all_1402_0 & $i(all_1402_0) & $i(all_1402_1) & ! [v0: $i] : ! [v1:
% 237.05/48.03 | $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: int] : (v5
% 237.05/48.03 | = 0 | ~ (c_Groups_Oone__class_Oone(v0) = v2) | ~
% 237.05/48.03 | (c_Groups_Ozero__class_Ozero(v0) = v1) | ~
% 237.05/48.03 | (c_Int_Onumber__class_Onumber__of(v0, all_1402_0) = v3) | ~
% 237.05/48.03 | (c_Rings_Oinverse__class_Odivide(v0, v2, v3) = v4) | ~
% 237.05/48.03 | (c_Orderings_Oord__class_Oless(v0, v1, v4) = v5) | ~ $i(v0) | ?
% 237.05/48.03 | [v6: any] : ? [v7: any] :
% 237.05/48.03 | (class_Fields_Olinordered__field__inverse__zero(v0) = v6 &
% 237.05/48.03 | class_Int_Onumber__ring(v0) = v7 & ( ~ (v7 = 0) | ~ (v6 = 0))))
% 237.05/48.03 |
% 237.05/48.03 | ALPHA: (731) implies:
% 237.05/48.03 | (732) c_Int_OBit0(all_1402_1) = all_1402_0
% 237.05/48.03 | (733) c_Int_OBit1(c_Int_OPls) = all_1402_1
% 237.05/48.03 |
% 237.05/48.03 | DELTA: instantiating (122) with fresh symbol all_1405_0 gives:
% 237.05/48.03 | (734) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1405_0 &
% 237.05/48.03 | $i(all_1405_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.03 | $i] : ! [v4: $i] : ! [v5: any] : ( ~
% 237.05/48.03 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 237.05/48.03 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v0) = v4) | ~
% 237.05/48.03 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v4) = v5)
% 237.05/48.03 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 237.05/48.03 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) = v7 &
% 237.05/48.03 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1405_0, v2) =
% 237.05/48.03 | v6 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | v7 =
% 237.05/48.03 | 0)))))
% 237.05/48.03 |
% 237.05/48.03 | ALPHA: (734) implies:
% 237.05/48.03 | (735) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1405_0
% 237.05/48.03 |
% 237.05/48.03 | DELTA: instantiating (38) with fresh symbols all_1408_0, all_1408_1,
% 237.05/48.03 | all_1408_2 gives:
% 237.05/48.03 | (736) c_Int_OBit1(c_Int_OPls) = all_1408_2 & c_Int_OBit0(all_1408_2) =
% 237.05/48.03 | all_1408_1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 237.05/48.03 | all_1408_1) = all_1408_0 & $i(all_1408_0) & $i(all_1408_1) &
% 237.05/48.03 | $i(all_1408_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.03 | $i] : ! [v4: $i] : ( ~
% 237.05/48.03 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v0) = v4) | ~
% 237.05/48.03 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, all_1408_0)
% 237.05/48.03 | = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0)
% 237.05/48.03 | = v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] :
% 237.05/48.03 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v1, v0) = v5 &
% 237.05/48.03 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, all_1408_0)
% 237.05/48.03 | = v4 & $i(v5) & $i(v4)))
% 237.05/48.03 |
% 237.05/48.03 | ALPHA: (736) implies:
% 237.05/48.03 | (737) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1408_1) =
% 237.05/48.03 | all_1408_0
% 237.05/48.03 | (738) c_Int_OBit0(all_1408_2) = all_1408_1
% 237.05/48.03 | (739) c_Int_OBit1(c_Int_OPls) = all_1408_2
% 237.05/48.03 |
% 237.05/48.03 | DELTA: instantiating (144) with fresh symbols all_1411_0, all_1411_1 gives:
% 237.05/48.03 | (740) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1411_0 &
% 237.05/48.03 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1411_1 &
% 237.05/48.03 | $i(all_1411_0) & $i(all_1411_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 237.05/48.03 | $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1, v0) = v2)
% 237.05/48.03 | | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) &
% 237.05/48.03 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1411_1, v1) = v3)
% 237.05/48.03 | | (( ~ (v2 = all_1411_0) | (v1 = all_1411_0 & v0 = all_1411_0)) & (
% 237.05/48.03 | ~ (v1 = all_1411_0) | ~ (v0 = all_1411_0) | v2 = all_1411_0)))
% 237.05/48.03 |
% 237.05/48.03 | ALPHA: (740) implies:
% 237.05/48.03 | (741) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1411_1
% 237.05/48.03 | (742) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1411_0
% 237.05/48.03 |
% 237.05/48.03 | DELTA: instantiating (19) with fresh symbol all_1414_0 gives:
% 237.05/48.03 | (743) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1414_0 & $i(all_1414_0)
% 237.05/48.03 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 |
% 237.05/48.03 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_1414_0) = v2) |
% 237.05/48.03 | ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) = v3) | ~
% 237.05/48.03 | $i(v1) | ~ $i(v0) | ( ~ (v1 = v0) & ? [v4: int] : ( ~ (v4 = 0) &
% 237.05/48.03 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = v4))) & !
% 237.05/48.03 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 237.05/48.03 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_1414_0) = v2) |
% 237.05/48.03 | ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) = 0) | ~
% 237.05/48.03 | $i(v1) | ~ $i(v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1,
% 237.05/48.03 | v0) = 0)
% 237.05/48.03 |
% 237.05/48.03 | ALPHA: (743) implies:
% 237.05/48.03 | (744) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1414_0
% 237.05/48.03 |
% 237.05/48.03 | DELTA: instantiating (148) with fresh symbols all_1417_0, all_1417_1 gives:
% 237.05/48.03 | (745) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1417_0 &
% 237.05/48.03 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1417_1 &
% 237.05/48.03 | $i(all_1417_0) & $i(all_1417_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 237.05/48.03 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 237.05/48.03 | [v7: $i] : ! [v8: int] : (v8 = 0 | ~
% 237.05/48.03 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v5, v2) = v6) | ~
% 237.05/48.03 | (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v0, v1) = v3) | ~
% 237.05/48.03 | (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v3) = v4) | ~
% 237.05/48.03 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, all_1417_0) = v5) |
% 237.05/48.03 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v6) = v7) | ~
% 237.05/48.03 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v7) = v8) | ~
% 237.05/48.03 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v9: int] : ( ~ (v9 = 0) &
% 237.05/48.03 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1417_1, v2) = v9))
% 237.05/48.03 |
% 237.05/48.03 | ALPHA: (745) implies:
% 237.05/48.03 | (746) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1417_1
% 237.05/48.03 | (747) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1417_0
% 237.05/48.03 |
% 237.05/48.03 | DELTA: instantiating (84) with fresh symbol all_1420_0 gives:
% 237.05/48.03 | (748) c_Int_OBit1(c_Int_OPls) = all_1420_0 & $i(all_1420_0) & ! [v0: $i] :
% 237.05/48.03 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 237.05/48.03 | (c_Int_Onumber__class_Onumber__of(v1, v3) = v4) | ~
% 237.05/48.03 | (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v2) | ~
% 237.05/48.03 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_1420_0, v2) = v3) |
% 237.05/48.03 | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: $i] : ? [v7: $i] :
% 237.05/48.03 | ? [v8: $i] : (class_Int_Onumber__ring(v1) = v5 &
% 237.05/48.03 | c_Groups_Oone__class_Oone(v1) = v6 &
% 237.05/48.03 | c_Int_Onumber__class_Onumber__of(v1, v0) = v7 &
% 237.05/48.03 | c_Groups_Ominus__class_Ominus(v1, v6, v7) = v8 & $i(v8) & $i(v7)
% 237.05/48.03 | & $i(v6) & ( ~ (v5 = 0) | v8 = v4)))
% 237.05/48.03 |
% 237.05/48.03 | ALPHA: (748) implies:
% 237.05/48.03 | (749) c_Int_OBit1(c_Int_OPls) = all_1420_0
% 237.05/48.03 |
% 237.05/48.03 | DELTA: instantiating (66) with fresh symbol all_1423_0 gives:
% 237.05/48.03 | (750) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1423_0 &
% 237.05/48.03 | $i(all_1423_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 237.05/48.03 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 237.05/48.03 | $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 237.05/48.03 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 237.05/48.03 | all_1423_0) = v4 &
% 237.05/48.03 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) = v3
% 237.05/48.03 | & ( ~ (v3 = 0) | v4 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 237.05/48.03 | $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v1, v0)
% 237.05/48.03 | = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 237.05/48.03 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 237.05/48.03 | all_1423_0) = v3 &
% 237.05/48.03 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) = v4
% 237.05/48.03 | & ( ~ (v3 = 0) | v4 = 0)))
% 237.05/48.03 |
% 237.05/48.03 | ALPHA: (750) implies:
% 237.05/48.03 | (751) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1423_0
% 237.05/48.03 |
% 237.05/48.03 | DELTA: instantiating (149) with fresh symbols all_1426_0, all_1426_1 gives:
% 237.05/48.04 | (752) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1426_0 &
% 237.05/48.04 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1426_1 &
% 237.05/48.04 | $i(all_1426_0) & $i(all_1426_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 237.05/48.04 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 237.05/48.04 | [v7: $i] : ! [v8: int] : (v8 = 0 | ~
% 237.05/48.04 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v5, v2) = v6) | ~
% 237.05/48.04 | (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v1, v6) = v7) | ~
% 237.05/48.04 | (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v1, v0) = v3) | ~
% 237.05/48.04 | (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v3) = v4) | ~
% 237.05/48.04 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, all_1426_0) = v5) |
% 237.05/48.04 | ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint, v7, v0) = v8) | ~
% 237.05/48.04 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v9: int] : ( ~ (v9 = 0) &
% 237.05/48.04 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1426_1, v2) = v9))
% 237.05/48.04 |
% 237.05/48.04 | ALPHA: (752) implies:
% 237.05/48.04 | (753) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1426_1
% 237.05/48.04 | (754) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1426_0
% 237.05/48.04 |
% 237.05/48.04 | DELTA: instantiating (77) with fresh symbols all_1429_0, all_1429_1 gives:
% 237.05/48.04 | (755) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1429_0 &
% 237.05/48.04 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1429_1 &
% 237.05/48.04 | $i(all_1429_0) & $i(all_1429_1) & ! [v0: $i] : ! [v1: int] : (v1 =
% 237.05/48.04 | 0 | ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1429_0, v0)
% 237.05/48.04 | = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) &
% 237.05/48.04 | c_RealDef_Oreal(tc_Nat_Onat, v0) = v2 &
% 237.05/48.04 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1429_1, v2) =
% 237.05/48.04 | v3 & $i(v2))) & ! [v0: $i] : ( ~
% 237.05/48.04 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1429_0, v0) = 0) |
% 237.05/48.04 | ~ $i(v0) | ? [v1: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1 &
% 237.05/48.04 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1429_1, v1) =
% 237.05/48.04 | 0 & $i(v1)))
% 237.05/48.04 |
% 237.05/48.04 | ALPHA: (755) implies:
% 237.05/48.04 | (756) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1429_1
% 237.05/48.04 | (757) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1429_0
% 237.05/48.04 |
% 237.05/48.04 | DELTA: instantiating (105) with fresh symbol all_1432_0 gives:
% 237.05/48.04 | (758) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1432_0 &
% 237.05/48.04 | $i(all_1432_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.04 | int] : (v3 = 0 | ~ (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p,
% 237.05/48.04 | v1) = v2) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 237.05/48.04 | v0, all_1432_0) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] :
% 237.05/48.04 | ? [v5: any] : ? [v6: $i] : ? [v7: $i] :
% 237.05/48.04 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v_r) = v5
% 237.05/48.04 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v6 &
% 237.05/48.04 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v4 &
% 237.05/48.04 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) = v7 &
% 237.05/48.04 | $i(v7) & $i(v6) & $i(v4) & ( ~ (v7 = v6) | ~ (v5 = 0))))
% 237.05/48.04 |
% 237.05/48.04 | ALPHA: (758) implies:
% 237.05/48.04 | (759) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1432_0
% 237.05/48.04 |
% 237.05/48.04 | DELTA: instantiating (199) with fresh symbols all_1435_0, all_1435_1 gives:
% 237.05/48.04 | (760) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1435_0 &
% 237.05/48.04 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1435_1 &
% 237.05/48.04 | $i(all_1435_0) & $i(all_1435_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 237.05/48.04 | $i] : ! [v3: int] : (v3 = 0 | ~
% 237.05/48.04 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, all_1435_0) =
% 237.05/48.04 | v3) | ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 237.05/48.04 | all_1435_1, v1) = 0) | ~
% 237.05/48.04 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1435_1, v2) = 0) |
% 237.05/48.04 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : ? [v5: $i] : ( ~
% 237.05/48.04 | (v5 = v2) & c_Groups_Otimes__class_Otimes(tc_Int_Oint, v2, v0) =
% 237.05/48.04 | v4 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v4) = v5 &
% 237.05/48.04 | $i(v5) & $i(v4)))
% 237.05/48.04 |
% 237.05/48.04 | ALPHA: (760) implies:
% 237.05/48.04 | (761) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1435_1
% 237.05/48.04 | (762) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1435_0
% 237.05/48.04 |
% 237.05/48.04 | DELTA: instantiating (146) with fresh symbols all_1438_0, all_1438_1,
% 237.05/48.04 | all_1438_2, all_1438_3, all_1438_4 gives:
% 237.05/48.04 | (763) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1438_0 &
% 237.05/48.04 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1438_4 &
% 237.05/48.04 | c_Int_OBit1(c_Int_OPls) = all_1438_3 & c_Int_OBit0(all_1438_3) =
% 237.05/48.04 | all_1438_2 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint,
% 237.05/48.04 | all_1438_2) = all_1438_1 & $i(all_1438_0) & $i(all_1438_1) &
% 237.05/48.04 | $i(all_1438_2) & $i(all_1438_3) & $i(all_1438_4) & ! [v0: any] : (v0
% 237.05/48.04 | = all_1438_0 | v0 = all_1438_4 | ~
% 237.05/48.04 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_1438_1) = 0) |
% 237.05/48.04 | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 237.05/48.04 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1438_4, v0) =
% 237.05/48.04 | v1))
% 237.05/48.04 |
% 237.05/48.04 | ALPHA: (763) implies:
% 237.05/48.04 | (764) $i(all_1438_1)
% 237.05/48.04 | (765) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_1438_2) =
% 237.05/48.04 | all_1438_1
% 237.05/48.04 | (766) c_Int_OBit0(all_1438_3) = all_1438_2
% 237.05/48.04 | (767) c_Int_OBit1(c_Int_OPls) = all_1438_3
% 237.05/48.04 | (768) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1438_4
% 237.05/48.04 | (769) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1438_0
% 237.05/48.04 |
% 237.05/48.04 | DELTA: instantiating (56) with fresh symbol all_1441_0 gives:
% 237.05/48.04 | (770) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1441_0 &
% 237.05/48.04 | $i(all_1441_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 237.05/48.04 | (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v1, v0) = v2) | ~
% 237.05/48.04 | $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 237.05/48.04 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, all_1441_0) = v4 &
% 237.05/48.04 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = v3 & ( ~ (v3
% 237.05/48.04 | = 0) | v4 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 237.05/48.04 | ( ~ (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v1, v0) = v2) | ~
% 237.05/48.04 | $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 237.05/48.04 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, all_1441_0) = v3 &
% 237.05/48.04 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = v4 & ( ~ (v3
% 237.05/48.04 | = 0) | v4 = 0)))
% 237.05/48.04 |
% 237.05/48.04 | ALPHA: (770) implies:
% 237.05/48.04 | (771) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1441_0
% 237.05/48.04 |
% 237.05/48.04 | DELTA: instantiating (187) with fresh symbol all_1444_0 gives:
% 237.05/48.04 | (772) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1444_0 &
% 237.05/48.04 | $i(all_1444_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 237.05/48.04 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2) | ~
% 237.05/48.04 | $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 237.05/48.04 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) = v4 &
% 237.05/48.04 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1444_0, v2) = v3 &
% 237.05/48.04 | ( ~ (v3 = 0) | v4 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 237.05/48.04 | $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2)
% 237.05/48.04 | | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 237.05/48.04 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) = v3 &
% 237.05/48.04 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1444_0, v2) = v4 &
% 237.05/48.04 | ( ~ (v3 = 0) | v4 = 0)))
% 237.05/48.04 |
% 237.05/48.04 | ALPHA: (772) implies:
% 237.05/48.04 | (773) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1444_0
% 237.05/48.04 |
% 237.05/48.04 | DELTA: instantiating (130) with fresh symbol all_1447_0 gives:
% 237.05/48.04 | (774) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1447_0 &
% 237.05/48.04 | $i(all_1447_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.04 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 237.05/48.04 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v5) = v6) | ~
% 237.05/48.04 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v6) = 0) |
% 237.05/48.04 | ~ (c_RealVector_Onorm__class_Onorm(v3, v1) = v4) | ~
% 237.05/48.04 | (c_RealVector_Onorm__class_Onorm(v3, v0) = v5) | ~ $i(v3) | ~
% 237.05/48.04 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v7: any] : ? [v8: any] : ?
% 237.05/48.04 | [v9: $i] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 237.05/48.04 | all_1447_0) = v8 & class_RealVector_Oreal__normed__vector(v3) =
% 237.05/48.04 | v7 & c_Groups_Ozero__class_Ozero(v3) = v9 & $i(v9) & ( ~ (v8 = 0)
% 237.05/48.04 | | ~ (v7 = 0) | v9 = v1)))
% 237.05/48.04 |
% 237.05/48.04 | ALPHA: (774) implies:
% 237.05/48.04 | (775) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1447_0
% 237.05/48.04 |
% 237.05/48.04 | DELTA: instantiating (150) with fresh symbol all_1450_0 gives:
% 237.05/48.04 | (776) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1450_0 &
% 237.05/48.04 | $i(all_1450_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.04 | $i] : ! [v4: $i] : (v4 = v3 | ~
% 237.05/48.04 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v1) = v3) | ~
% 237.05/48.04 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0, v1) = v4) | ~
% 237.05/48.04 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ( ~ (v2 = v0) & ~ (v1 =
% 237.05/48.04 | all_1450_0))) & ! [v0: $i] : ! [v1: any] : ! [v2: $i] : !
% 237.05/48.04 | [v3: $i] : (v2 = v0 | v1 = all_1450_0 | ~
% 237.05/48.04 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v1) = v3) | ~
% 237.05/48.04 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0, v1) = v3) | ~
% 237.05/48.04 | $i(v2) | ~ $i(v1) | ~ $i(v0))
% 237.05/48.04 |
% 237.05/48.04 | ALPHA: (776) implies:
% 237.05/48.04 | (777) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1450_0
% 237.05/48.04 |
% 237.05/48.04 | DELTA: instantiating (71) with fresh symbol all_1453_0 gives:
% 237.05/48.04 | (778) c_Int_OBit1(c_Int_OPls) = all_1453_0 & $i(all_1453_0) & ! [v0: $i] :
% 237.05/48.04 | ! [v1: $i] : ! [v2: any] : ( ~
% 237.05/48.04 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1453_0, v0) =
% 237.05/48.04 | v2) | ~ (class_Rings_Olinordered__idom(v1) = 0) | ~ $i(v1) | ~
% 237.05/48.04 | $i(v0) | ? [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: any] :
% 237.05/48.04 | (c_Orderings_Oord__class_Oless__eq(v1, v4, v5) = v6 &
% 237.05/48.04 | class_Int_Onumber__ring(v1) = v3 & c_Groups_Oone__class_Oone(v1)
% 237.05/48.04 | = v4 & c_Int_Onumber__class_Onumber__of(v1, v0) = v5 & $i(v5) &
% 237.05/48.04 | $i(v4) & ( ~ (v3 = 0) | (( ~ (v6 = 0) | v2 = 0) & ( ~ (v2 = 0) |
% 237.05/48.04 | v6 = 0)))))
% 237.05/48.04 |
% 237.05/48.04 | ALPHA: (778) implies:
% 237.05/48.04 | (779) c_Int_OBit1(c_Int_OPls) = all_1453_0
% 237.05/48.04 |
% 237.05/48.04 | DELTA: instantiating (85) with fresh symbols all_1456_0, all_1456_1 gives:
% 237.05/48.04 | (780) c_Int_OBit1(c_Int_OPls) = all_1456_1 &
% 237.05/48.04 | c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, all_1456_1) = all_1456_0
% 237.05/48.04 | & $i(all_1456_0) & $i(all_1456_1) & ! [v0: $i] : ! [v1: $i] : !
% 237.05/48.04 | [v2: $i] : ! [v3: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v1,
% 237.05/48.04 | v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0,
% 237.05/48.04 | all_1456_0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ?
% 237.05/48.04 | [v5: $i] : ? [v6: $i] : ? [v7: $i] : (class_Int_Onumber__ring(v1)
% 237.05/48.04 | = v4 & c_Groups_Oone__class_Oone(v1) = v6 &
% 237.05/48.04 | c_Int_Onumber__class_Onumber__of(v1, v0) = v5 &
% 237.05/48.04 | c_Groups_Ominus__class_Ominus(v1, v5, v6) = v7 & $i(v7) & $i(v6)
% 237.05/48.04 | & $i(v5) & ( ~ (v4 = 0) | v7 = v3)))
% 237.05/48.04 |
% 237.05/48.04 | ALPHA: (780) implies:
% 237.05/48.04 | (781) c_Int_OBit1(c_Int_OPls) = all_1456_1
% 237.05/48.04 |
% 237.05/48.04 | DELTA: instantiating (29) with fresh symbols all_1459_0, all_1459_1 gives:
% 237.05/48.04 | (782) c_Int_OBit1(c_Int_OPls) = all_1459_1 & c_Int_OBit0(all_1459_1) =
% 237.05/48.04 | all_1459_0 & $i(all_1459_0) & $i(all_1459_1) & ! [v0: $i] : ! [v1:
% 237.05/48.04 | $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: int] : (v5
% 237.05/48.04 | = 0 | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~
% 237.05/48.04 | (c_Int_Onumber__class_Onumber__of(v1, all_1459_0) = v3) | ~
% 237.05/48.04 | (c_Rings_Oinverse__class_Odivide(v1, v0, v3) = v4) | ~
% 237.05/48.04 | (c_Orderings_Oord__class_Oless(v1, v2, v4) = v5) | ~ $i(v1) | ~
% 237.05/48.04 | $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 237.05/48.04 | (class_Fields_Olinordered__field__inverse__zero(v1) = v6 &
% 237.05/48.04 | class_Int_Onumber__ring(v1) = v7 &
% 237.05/48.04 | c_Orderings_Oord__class_Oless(v1, v2, v0) = v8 & ( ~ (v8 = 0) |
% 237.05/48.04 | ~ (v7 = 0) | ~ (v6 = 0))))
% 237.05/48.04 |
% 237.05/48.04 | ALPHA: (782) implies:
% 237.05/48.04 | (783) c_Int_OBit0(all_1459_1) = all_1459_0
% 237.05/48.04 | (784) c_Int_OBit1(c_Int_OPls) = all_1459_1
% 237.05/48.04 |
% 237.05/48.04 | DELTA: instantiating (240) with fresh symbol all_1462_0 gives:
% 237.05/48.04 | (785) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1462_0 &
% 237.05/48.04 | $i(all_1462_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.04 | $i] : ! [v4: $i] : (v4 = v3 | ~
% 237.05/48.04 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v1) = v3) | ~
% 237.05/48.04 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v0) = v4) | ~
% 237.05/48.04 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ( ~ (v2 = all_1462_0) & ~ (v1 =
% 237.05/48.04 | v0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ! [v3: $i]
% 237.05/48.04 | : (v2 = all_1462_0 | v1 = v0 | ~
% 237.05/48.04 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v1) = v3) | ~
% 237.05/48.04 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v0) = v3) | ~
% 237.05/48.04 | $i(v2) | ~ $i(v1) | ~ $i(v0))
% 237.05/48.04 |
% 237.05/48.04 | ALPHA: (785) implies:
% 237.05/48.04 | (786) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1462_0
% 237.05/48.04 |
% 237.05/48.04 | DELTA: instantiating (72) with fresh symbol all_1465_0 gives:
% 237.05/48.04 | (787) c_Int_OBit1(c_Int_OPls) = all_1465_0 & $i(all_1465_0) & ! [v0: $i] :
% 237.05/48.04 | ! [v1: $i] : ! [v2: any] : ( ~
% 237.05/48.04 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, all_1465_0) =
% 237.05/48.04 | v2) | ~ (class_Rings_Olinordered__idom(v1) = 0) | ~ $i(v1) | ~
% 237.05/48.04 | $i(v0) | ? [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: any] :
% 237.05/48.04 | (c_Orderings_Oord__class_Oless__eq(v1, v4, v5) = v6 &
% 237.05/48.04 | class_Int_Onumber__ring(v1) = v3 & c_Groups_Oone__class_Oone(v1)
% 237.05/48.04 | = v5 & c_Int_Onumber__class_Onumber__of(v1, v0) = v4 & $i(v5) &
% 237.05/48.04 | $i(v4) & ( ~ (v3 = 0) | (( ~ (v6 = 0) | v2 = 0) & ( ~ (v2 = 0) |
% 237.05/48.04 | v6 = 0)))))
% 237.05/48.04 |
% 237.05/48.04 | ALPHA: (787) implies:
% 237.05/48.04 | (788) c_Int_OBit1(c_Int_OPls) = all_1465_0
% 237.05/48.04 |
% 237.05/48.04 | DELTA: instantiating (222) with fresh symbols all_1468_0, all_1468_1,
% 237.05/48.04 | all_1468_2 gives:
% 237.05/48.04 | (789) c_Int_OBit1(c_Int_OPls) = all_1468_1 &
% 237.05/48.04 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1468_1) =
% 237.05/48.04 | all_1468_0 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 237.05/48.04 | c_Int_OPls) = all_1468_2 & $i(all_1468_0) & $i(all_1468_1) &
% 237.05/48.04 | $i(all_1468_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.04 | $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1,
% 237.05/48.04 | all_1468_0) = v2) | ~
% 237.05/48.04 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v2) = v3) | ~
% 237.05/48.04 | $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: $i] : ? [v6: $i] :
% 237.05/48.04 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v5, v1) = v6 &
% 237.05/48.04 | c_Nat_OSuc(v0) = v5 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 237.05/48.04 | all_1468_2, v1) = v4 & $i(v6) & $i(v5) & ( ~ (v4 = 0) | v6 =
% 237.05/48.04 | v3)))
% 237.05/48.04 |
% 237.05/48.04 | ALPHA: (789) implies:
% 237.05/48.04 | (790) c_Int_OBit1(c_Int_OPls) = all_1468_1
% 237.05/48.04 |
% 237.05/48.04 | DELTA: instantiating (11) with fresh symbol all_1471_0 gives:
% 237.05/48.04 | (791) c_Int_OBit1(c_Int_OPls) = all_1471_0 & $i(all_1471_0) & ! [v0: $i] :
% 237.05/48.04 | ! [v1: $i] : ! [v2: any] : ( ~ (class_Rings_Olinordered__idom(v1) =
% 237.05/48.04 | 0) | ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1471_0,
% 237.05/48.04 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: $i]
% 237.05/48.04 | : ? [v5: $i] : ? [v6: any] : (class_Int_Onumber__ring(v1) = v3 &
% 237.05/48.04 | c_Groups_Oone__class_Oone(v1) = v4 &
% 237.05/48.04 | c_Int_Onumber__class_Onumber__of(v1, v0) = v5 &
% 237.05/48.04 | c_Orderings_Oord__class_Oless(v1, v4, v5) = v6 & $i(v5) & $i(v4)
% 237.05/48.04 | & ( ~ (v3 = 0) | (( ~ (v6 = 0) | v2 = 0) & ( ~ (v2 = 0) | v6 =
% 237.05/48.04 | 0)))))
% 237.05/48.04 |
% 237.05/48.04 | ALPHA: (791) implies:
% 237.05/48.04 | (792) c_Int_OBit1(c_Int_OPls) = all_1471_0
% 237.05/48.04 |
% 237.05/48.04 | DELTA: instantiating (12) with fresh symbol all_1474_0 gives:
% 237.05/48.04 | (793) c_Int_OBit1(c_Int_OPls) = all_1474_0 & $i(all_1474_0) & ! [v0: $i] :
% 237.05/48.04 | ! [v1: $i] : ! [v2: any] : ( ~ (class_Rings_Olinordered__idom(v1) =
% 237.05/48.04 | 0) | ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0,
% 237.05/48.04 | all_1474_0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ?
% 237.05/48.04 | [v4: $i] : ? [v5: $i] : ? [v6: any] :
% 237.05/48.04 | (class_Int_Onumber__ring(v1) = v3 & c_Groups_Oone__class_Oone(v1) =
% 237.05/48.04 | v5 & c_Int_Onumber__class_Onumber__of(v1, v0) = v4 &
% 237.05/48.04 | c_Orderings_Oord__class_Oless(v1, v4, v5) = v6 & $i(v5) & $i(v4)
% 237.05/48.04 | & ( ~ (v3 = 0) | (( ~ (v6 = 0) | v2 = 0) & ( ~ (v2 = 0) | v6 =
% 237.05/48.04 | 0)))))
% 237.05/48.04 |
% 237.05/48.04 | ALPHA: (793) implies:
% 237.05/48.04 | (794) c_Int_OBit1(c_Int_OPls) = all_1474_0
% 237.05/48.04 |
% 237.05/48.04 | DELTA: instantiating (198) with fresh symbols all_1477_0, all_1477_1,
% 237.05/48.04 | all_1477_2, all_1477_3, all_1477_4 gives:
% 237.05/48.04 | (795) c_Int_OBit1(c_Int_OPls) = all_1477_4 & c_Int_OBit0(all_1477_3) =
% 237.05/48.04 | all_1477_2 & c_Int_OBit0(all_1477_4) = all_1477_3 &
% 237.05/48.04 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1477_2) =
% 237.05/48.04 | all_1477_0 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 237.05/48.04 | all_1477_2) = all_1477_1 & $i(all_1477_0) & $i(all_1477_1) &
% 237.05/48.04 | $i(all_1477_2) & $i(all_1477_3) & $i(all_1477_4) & ! [v0: $i] : !
% 237.05/48.04 | [v1: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat,
% 237.05/48.04 | all_1477_0, v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] :
% 237.05/48.04 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, all_1477_1) =
% 237.05/48.04 | v3 & c_RealDef_Oreal(tc_Nat_Onat, v1) = v3 &
% 237.05/48.04 | c_RealDef_Oreal(tc_Nat_Onat, v0) = v2 & $i(v3) & $i(v2)))
% 237.05/48.04 |
% 237.05/48.04 | ALPHA: (795) implies:
% 237.05/48.04 | (796) c_Int_OBit0(all_1477_4) = all_1477_3
% 237.05/48.04 | (797) c_Int_OBit1(c_Int_OPls) = all_1477_4
% 237.05/48.04 |
% 237.05/48.04 | DELTA: instantiating (240) with fresh symbol all_1480_0 gives:
% 237.05/48.04 | (798) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1480_0 &
% 237.05/48.04 | $i(all_1480_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.04 | $i] : ! [v4: $i] : (v4 = v3 | ~
% 237.05/48.04 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v1) = v3) | ~
% 237.05/48.04 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v0) = v4) | ~
% 237.05/48.04 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ( ~ (v2 = all_1480_0) & ~ (v1 =
% 237.05/48.04 | v0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ! [v3: $i]
% 237.05/48.04 | : (v2 = all_1480_0 | v1 = v0 | ~
% 237.05/48.04 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v1) = v3) | ~
% 237.05/48.04 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v0) = v3) | ~
% 237.05/48.04 | $i(v2) | ~ $i(v1) | ~ $i(v0))
% 237.05/48.04 |
% 237.05/48.04 | ALPHA: (798) implies:
% 237.05/48.04 | (799) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1480_0
% 237.05/48.04 |
% 237.05/48.04 | DELTA: instantiating (200) with fresh symbols all_1483_0, all_1483_1 gives:
% 237.05/48.04 | (800) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1483_0 &
% 237.05/48.04 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1483_1 &
% 237.05/48.04 | $i(all_1483_0) & $i(all_1483_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 237.05/48.04 | $i] : ! [v3: int] : (v3 = 0 | ~
% 237.05/48.04 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1483_0, v0) =
% 237.05/48.04 | v3) | ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) = 0)
% 237.05/48.04 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: $i] :
% 237.05/48.04 | ? [v6: $i] : (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v2, v0) =
% 237.05/48.04 | v5 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v5) = v6 &
% 237.05/48.04 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1483_1, v2) = v4 &
% 237.05/48.04 | $i(v6) & $i(v5) & ( ~ (v6 = v2) | ~ (v4 = 0))))
% 237.05/48.04 |
% 237.05/48.04 | ALPHA: (800) implies:
% 237.05/48.05 | (801) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1483_1
% 237.05/48.05 | (802) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1483_0
% 237.05/48.05 |
% 237.05/48.05 | DELTA: instantiating (131) with fresh symbol all_1486_0 gives:
% 237.05/48.05 | (803) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1486_0 &
% 237.05/48.05 | $i(all_1486_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.05 | $i] : ! [v4: $i] : ! [v5: int] : (v5 = 0 | ~
% 237.05/48.05 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, all_1486_0) =
% 237.05/48.05 | v4) | ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~
% 237.05/48.05 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v3) | ~
% 237.05/48.05 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v4) = v5) | ~
% 237.05/48.05 | $i(v1) | ~ $i(v0) | ? [v6: int] : ( ~ (v6 = 0) &
% 237.05/48.05 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) = v6)) &
% 237.05/48.05 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 237.05/48.05 | ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, all_1486_0) =
% 237.05/48.05 | v4) | ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~
% 237.05/48.05 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v3) | ~
% 237.05/48.05 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v4) = 0) | ~
% 237.05/48.05 | $i(v1) | ~ $i(v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,
% 237.05/48.05 | v1, v0) = 0)
% 237.05/48.05 |
% 237.05/48.05 | ALPHA: (803) implies:
% 237.05/48.05 | (804) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1486_0
% 237.05/48.05 |
% 237.05/48.05 | DELTA: instantiating (74) with fresh symbol all_1489_0 gives:
% 237.05/48.05 | (805) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1489_0 &
% 237.05/48.05 | $i(all_1489_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.05 | int] : (v3 = 0 | ~
% 237.05/48.05 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) = v3)
% 237.05/48.05 | | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2) |
% 237.05/48.05 | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : ? [v5: int] : ( ~ (v5 = 0) &
% 237.05/48.05 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4,
% 237.05/48.05 | all_1489_0) = v5 &
% 237.05/48.05 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v4 &
% 237.05/48.05 | $i(v4))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 237.05/48.05 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) = 0) |
% 237.05/48.05 | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2) |
% 237.05/48.05 | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] :
% 237.05/48.05 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3,
% 237.05/48.05 | all_1489_0) = 0 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 237.05/48.05 | v1, v0) = v3 & $i(v3)))
% 237.05/48.05 |
% 237.05/48.05 | ALPHA: (805) implies:
% 237.05/48.05 | (806) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1489_0
% 237.05/48.05 |
% 237.05/48.05 | DELTA: instantiating (75) with fresh symbol all_1492_0 gives:
% 237.05/48.05 | (807) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1492_0 &
% 237.05/48.05 | $i(all_1492_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.05 | int] : (v3 = 0 | ~
% 237.05/48.05 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) = v3)
% 237.05/48.05 | | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2) |
% 237.05/48.05 | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : ? [v5: int] : ( ~ (v5 = 0) &
% 237.05/48.05 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1492_0,
% 237.05/48.05 | v4) = v5 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1,
% 237.05/48.05 | v0) = v4 & $i(v4))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 237.05/48.05 | ( ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) = 0)
% 237.05/48.05 | | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2) |
% 237.05/48.05 | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] :
% 237.05/48.05 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1492_0,
% 237.05/48.05 | v3) = 0 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0)
% 237.05/48.05 | = v3 & $i(v3)))
% 237.05/48.05 |
% 237.05/48.05 | ALPHA: (807) implies:
% 237.05/48.05 | (808) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1492_0
% 237.05/48.05 |
% 237.05/48.05 | DELTA: instantiating (76) with fresh symbol all_1495_0 gives:
% 237.05/48.05 | (809) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1495_0 &
% 237.05/48.05 | $i(all_1495_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.05 | $i] : ! [v4: $i] : ! [v5: int] : (v5 = 0 | ~
% 237.05/48.05 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v4) = v5)
% 237.05/48.05 | | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, all_1495_0)
% 237.05/48.05 | = v3) | ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~
% 237.05/48.05 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v4) | ~ $i(v1) | ~ $i(v0) |
% 237.05/48.05 | ? [v6: int] : ( ~ (v6 = 0) &
% 237.05/48.05 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) = v6)) & !
% 237.05/48.05 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 237.05/48.05 | ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v4) = 0)
% 237.05/48.05 | | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, all_1495_0)
% 237.05/48.05 | = v3) | ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~
% 237.05/48.05 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v4) | ~ $i(v1) | ~ $i(v0) |
% 237.05/48.05 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) = 0)
% 237.05/48.05 |
% 237.05/48.05 | ALPHA: (809) implies:
% 237.05/48.05 | (810) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1495_0
% 237.05/48.05 |
% 237.05/48.05 | DELTA: instantiating (95) with fresh symbol all_1498_0 gives:
% 237.05/48.05 | (811) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1498_0 &
% 237.05/48.05 | $i(all_1498_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.05 | int] : (v3 = 0 | ~
% 237.05/48.05 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2) | ~
% 237.05/48.05 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) = v3) | ~
% 237.05/48.05 | $i(v1) | ~ $i(v0) | ? [v4: $i] : ? [v5: int] : ( ~ (v5 = 0) &
% 237.05/48.05 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v4 &
% 237.05/48.05 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, all_1498_0) =
% 237.05/48.05 | v5 & $i(v4))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 237.05/48.05 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2) | ~
% 237.05/48.05 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) = 0) | ~
% 237.05/48.05 | $i(v1) | ~ $i(v0) | ? [v3: $i] :
% 237.05/48.05 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v3 &
% 237.05/48.05 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, all_1498_0) =
% 237.05/48.05 | 0 & $i(v3)))
% 237.05/48.05 |
% 237.05/48.05 | ALPHA: (811) implies:
% 237.05/48.05 | (812) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1498_0
% 237.05/48.05 |
% 237.05/48.05 | DELTA: instantiating (100) with fresh symbol all_1501_0 gives:
% 237.05/48.05 | (813) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1501_0 &
% 237.05/48.05 | $i(all_1501_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.05 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: int] : (v6 = 0 | ~
% 237.05/48.05 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5) = v6)
% 237.05/48.05 | | ~ (c_Rings_Oinverse__class_Oinverse(v2, v0) = v3) | ~
% 237.05/48.05 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v1) = v5) | ~
% 237.05/48.05 | (c_RealVector_Onorm__class_Onorm(v2, v3) = v4) | ~ $i(v2) | ~
% 237.05/48.05 | $i(v1) | ~ $i(v0) | ? [v7: any] : ? [v8: $i] : ? [v9: any] : ?
% 237.05/48.05 | [v10: any] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 237.05/48.05 | v1, v8) = v9 & class_RealVector_Oreal__normed__div__algebra(v2)
% 237.05/48.05 | = v7 & c_RealVector_Onorm__class_Onorm(v2, v0) = v8 &
% 237.05/48.05 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1501_0, v1) =
% 237.05/48.05 | v10 & $i(v8) & ( ~ (v10 = 0) | ~ (v9 = 0) | ~ (v7 = 0))))
% 237.05/48.05 |
% 237.05/48.05 | ALPHA: (813) implies:
% 237.05/48.05 | (814) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1501_0
% 237.05/48.05 |
% 237.05/48.05 | DELTA: instantiating (82) with fresh symbols all_1504_0, all_1504_1 gives:
% 237.05/48.05 | (815) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1504_1 &
% 237.05/48.05 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1504_0 &
% 237.05/48.05 | $i(all_1504_0) & $i(all_1504_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 237.05/48.05 | $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) |
% 237.05/48.05 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_1504_1, v0) = v1)
% 237.05/48.05 | | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 237.05/48.05 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, all_1504_0) = v4 &
% 237.05/48.05 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_1504_0) = v3 &
% 237.05/48.05 | ( ~ (v3 = 0) | v4 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 237.05/48.05 | $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) |
% 237.05/48.05 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_1504_1, v0) = v1)
% 237.05/48.05 | | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 237.05/48.05 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, all_1504_0) = v3 &
% 237.05/48.05 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_1504_0) = v4 &
% 237.05/48.05 | ( ~ (v3 = 0) | v4 = 0)))
% 237.05/48.05 |
% 237.05/48.05 | ALPHA: (815) implies:
% 237.05/48.05 | (816) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1504_0
% 237.05/48.05 | (817) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1504_1
% 237.05/48.05 |
% 237.05/48.05 | DELTA: instantiating (145) with fresh symbols all_1507_0, all_1507_1 gives:
% 237.05/48.05 | (818) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1507_1, v_r)
% 237.05/48.05 | = all_1507_0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 237.05/48.05 | all_1507_1 & $i(all_1507_1) & (all_1507_0 = 0 | ? [v0: $i] : ? [v1:
% 237.05/48.05 | $i] : ? [v2: $i] : (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p,
% 237.05/48.05 | v0) = v1 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 237.05/48.05 | v1) = v2 & $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i]
% 237.05/48.05 | : ! [v5: $i] : ! [v6: int] : (v6 = 0 | ~
% 237.05/48.05 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v5) =
% 237.05/48.05 | v6) | ~ (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v3) =
% 237.05/48.05 | v4) | ~
% 237.05/48.05 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5)
% 237.05/48.05 | | ~ $i(v3) | ? [v7: $i] : ? [v8: int] : ( ~ (v8 = 0) &
% 237.05/48.05 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7, v_r)
% 237.05/48.05 | = v8 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 237.05/48.05 | v3) = v7 & $i(v7)))))
% 237.05/48.05 |
% 237.05/48.05 | ALPHA: (818) implies:
% 237.05/48.05 | (819) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1507_1
% 237.05/48.05 |
% 237.05/48.05 | DELTA: instantiating (94) with fresh symbol all_1509_0 gives:
% 237.05/48.05 | (820) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1509_0 &
% 237.05/48.05 | $i(all_1509_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.05 | int] : (v3 = 0 | ~
% 237.05/48.05 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2) | ~
% 237.05/48.05 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v0) = v3) | ~
% 237.05/48.05 | $i(v1) | ~ $i(v0) | ? [v4: $i] : ? [v5: int] : ( ~ (v5 = 0) &
% 237.05/48.05 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v4 &
% 237.05/48.05 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1509_0, v4) =
% 237.05/48.05 | v5 & $i(v4))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 237.05/48.05 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2) | ~
% 237.05/48.05 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v0) = 0) | ~
% 237.05/48.05 | $i(v1) | ~ $i(v0) | ? [v3: $i] :
% 237.05/48.05 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v3 &
% 237.05/48.05 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1509_0, v3) =
% 237.05/48.05 | 0 & $i(v3)))
% 237.05/48.05 |
% 237.05/48.05 | ALPHA: (820) implies:
% 237.05/48.05 | (821) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1509_0
% 237.05/48.05 |
% 237.05/48.05 | DELTA: instantiating (197) with fresh symbol all_1512_0 gives:
% 237.05/48.05 | (822) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1512_0 &
% 237.05/48.05 | $i(all_1512_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 237.05/48.05 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v1) | ~
% 237.05/48.05 | $i(v0) | ? [v2: any] : ? [v3: $i] : ? [v4: $i] : ? [v5: any] :
% 237.05/48.05 | ? [v6: $i] : ? [v7: $i] : ? [v8: any] :
% 237.05/48.05 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1512_0, v7) =
% 237.05/48.05 | v8 & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1512_0,
% 237.05/48.05 | v4) = v5 & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 237.05/48.05 | all_1512_0, v1) = v2 & c_Int_OBit1(v0) = v6 & c_Int_OBit0(v0) =
% 237.05/48.05 | v3 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v6) = v7 &
% 237.05/48.05 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v3) = v4 & $i(v7) &
% 237.05/48.05 | $i(v6) & $i(v4) & $i(v3) & ( ~ (v2 = 0) | (v8 = 0 & v5 = 0))))
% 237.05/48.05 |
% 237.05/48.05 | ALPHA: (822) implies:
% 237.05/48.05 | (823) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1512_0
% 237.05/48.05 |
% 237.05/48.05 | DELTA: instantiating (182) with fresh symbols all_1515_0, all_1515_1 gives:
% 237.05/48.05 | (824) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1515_1 &
% 237.05/48.05 | c_Nat_OSuc(all_1515_1) = all_1515_0 & $i(all_1515_0) & $i(all_1515_1)
% 237.05/48.05 | & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = all_1515_0 | ~
% 237.05/48.05 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ $i(v1)
% 237.05/48.05 | | ~ $i(v0) | (( ~ (v1 = all_1515_0) | ~ (v0 = all_1515_1)) & ( ~
% 237.05/48.05 | (v1 = all_1515_1) | ~ (v0 = all_1515_0)))) & ! [v0: $i] : !
% 237.05/48.05 | [v1: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) =
% 237.05/48.05 | all_1515_0) | ~ $i(v1) | ~ $i(v0) | (v1 = all_1515_0 & v0 =
% 237.05/48.05 | all_1515_1) | (v1 = all_1515_1 & v0 = all_1515_0))
% 237.05/48.05 |
% 237.05/48.05 | ALPHA: (824) implies:
% 237.05/48.05 | (825) c_Nat_OSuc(all_1515_1) = all_1515_0
% 237.05/48.05 | (826) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1515_1
% 237.05/48.05 |
% 237.05/48.05 | DELTA: instantiating (182) with fresh symbols all_1518_0, all_1518_1 gives:
% 237.05/48.05 | (827) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1518_1 &
% 237.05/48.05 | c_Nat_OSuc(all_1518_1) = all_1518_0 & $i(all_1518_0) & $i(all_1518_1)
% 237.05/48.05 | & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = all_1518_0 | ~
% 237.05/48.05 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ $i(v1)
% 237.05/48.05 | | ~ $i(v0) | (( ~ (v1 = all_1518_0) | ~ (v0 = all_1518_1)) & ( ~
% 237.05/48.05 | (v1 = all_1518_1) | ~ (v0 = all_1518_0)))) & ! [v0: $i] : !
% 237.05/48.05 | [v1: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) =
% 237.05/48.05 | all_1518_0) | ~ $i(v1) | ~ $i(v0) | (v1 = all_1518_0 & v0 =
% 237.05/48.05 | all_1518_1) | (v1 = all_1518_1 & v0 = all_1518_0))
% 237.05/48.05 |
% 237.05/48.05 | ALPHA: (827) implies:
% 237.05/48.05 | (828) c_Nat_OSuc(all_1518_1) = all_1518_0
% 237.05/48.05 | (829) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1518_1
% 237.05/48.05 |
% 237.05/48.05 | DELTA: instantiating (30) with fresh symbols all_1521_0, all_1521_1 gives:
% 237.05/48.05 | (830) c_Int_OBit1(c_Int_OPls) = all_1521_1 & c_Int_OBit0(all_1521_1) =
% 237.05/48.05 | all_1521_0 & $i(all_1521_0) & $i(all_1521_1) & ! [v0: $i] : ! [v1:
% 237.05/48.05 | $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: any] : ( ~
% 237.05/48.05 | (c_Groups_Ozero__class_Ozero(v1) = v2) | ~
% 237.05/48.05 | (c_Int_Onumber__class_Onumber__of(v1, all_1521_0) = v3) | ~
% 237.05/48.05 | (c_Rings_Oinverse__class_Odivide(v1, v0, v3) = v4) | ~
% 237.05/48.05 | (c_Orderings_Oord__class_Oless(v1, v2, v4) = v5) | ~ $i(v1) | ~
% 237.05/48.05 | $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 237.05/48.05 | (class_Fields_Olinordered__field__inverse__zero(v1) = v6 &
% 237.05/48.05 | class_Int_Onumber__ring(v1) = v7 &
% 237.05/48.05 | c_Orderings_Oord__class_Oless(v1, v2, v0) = v8 & ( ~ (v7 = 0) |
% 237.05/48.05 | ~ (v6 = 0) | (( ~ (v8 = 0) | v5 = 0) & ( ~ (v5 = 0) | v8 =
% 237.05/48.05 | 0)))))
% 237.05/48.05 |
% 237.05/48.05 | ALPHA: (830) implies:
% 237.05/48.05 | (831) c_Int_OBit0(all_1521_1) = all_1521_0
% 237.05/48.05 | (832) c_Int_OBit1(c_Int_OPls) = all_1521_1
% 237.05/48.05 |
% 237.05/48.05 | DELTA: instantiating (99) with fresh symbols all_1524_0, all_1524_1,
% 237.05/48.05 | all_1524_2 gives:
% 237.05/48.05 | (833) c_Int_OBit1(c_Int_OPls) = all_1524_2 & c_Int_OBit0(all_1524_2) =
% 237.05/48.05 | all_1524_1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 237.05/48.05 | all_1524_1) = all_1524_0 & $i(all_1524_0) & $i(all_1524_1) &
% 237.05/48.05 | $i(all_1524_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.05 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 237.05/48.05 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1524_0, v2) =
% 237.05/48.05 | v6) | ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6,
% 237.05/48.05 | v7) = 0) | ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,
% 237.05/48.05 | v1, v0) = v4) | ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,
% 237.05/48.05 | v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 237.05/48.05 | v5, v3) = v7) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 237.05/48.05 | ? [v8: any] : ? [v9: any] :
% 237.05/48.05 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v2) = v9 &
% 237.05/48.05 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2) = v8 & (
% 237.05/48.05 | ~ (v9 = 0) | ~ (v8 = 0))))
% 237.05/48.05 |
% 237.05/48.05 | ALPHA: (833) implies:
% 237.05/48.05 | (834) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1524_1) =
% 237.05/48.05 | all_1524_0
% 237.05/48.05 | (835) c_Int_OBit0(all_1524_2) = all_1524_1
% 237.05/48.05 | (836) c_Int_OBit1(c_Int_OPls) = all_1524_2
% 237.05/48.05 |
% 237.05/48.05 | DELTA: instantiating (159) with fresh symbol all_1527_0 gives:
% 237.05/48.05 | (837) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1527_0 &
% 237.05/48.05 | $i(all_1527_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ! [v3:
% 237.05/48.05 | any] : ( ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1527_0,
% 237.05/48.05 | v1) = v2) | ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 237.05/48.05 | all_1527_0, v0) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] :
% 237.05/48.05 | ? [v5: int] : ( ~ (v5 = 0) &
% 237.05/48.05 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1, v0) = v4 &
% 237.05/48.05 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1527_0, v4) = v5 &
% 237.05/48.05 | $i(v4)) | (v3 = 0 & v2 = 0)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 237.05/48.05 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1527_0, v1) = 0) |
% 237.05/48.05 | ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1527_0, v0) = 0)
% 237.05/48.05 | | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] :
% 237.05/48.05 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1, v0) = v2 &
% 237.05/48.05 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1527_0, v2) = 0 &
% 237.05/48.05 | $i(v2)))
% 237.05/48.05 |
% 237.05/48.05 | ALPHA: (837) implies:
% 237.05/48.05 | (838) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1527_0
% 237.05/48.05 |
% 237.05/48.05 | DELTA: instantiating (48) with fresh symbols all_1530_0, all_1530_1,
% 237.05/48.05 | all_1530_2, all_1530_3, all_1530_4, all_1530_5, all_1530_6, all_1530_7,
% 237.05/48.05 | all_1530_8 gives:
% 237.05/48.05 | (839) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1530_3,
% 237.05/48.05 | all_1530_0) = 0 & hAPP(v_f____, all_1530_7) = all_1530_6 &
% 237.05/48.05 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1530_8 &
% 237.05/48.05 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1530_8,
% 237.05/48.05 | all_1530_1) = all_1530_0 &
% 237.05/48.05 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1530_8,
% 237.05/48.05 | all_1530_4) = all_1530_3 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat,
% 237.05/48.05 | v_N1____, v_N2____) = all_1530_7 & c_Nat_OSuc(all_1530_6) =
% 237.05/48.05 | all_1530_5 & c_Nat_OSuc(all_1530_7) = all_1530_2 &
% 237.05/48.05 | c_RealDef_Oreal(tc_Nat_Onat, all_1530_2) = all_1530_1 &
% 237.05/48.05 | c_RealDef_Oreal(tc_Nat_Onat, all_1530_5) = all_1530_4 &
% 237.05/48.05 | $i(all_1530_0) & $i(all_1530_1) & $i(all_1530_2) & $i(all_1530_3) &
% 237.05/48.05 | $i(all_1530_4) & $i(all_1530_5) & $i(all_1530_6) & $i(all_1530_7) &
% 237.05/48.05 | $i(all_1530_8)
% 237.05/48.05 |
% 237.05/48.05 | ALPHA: (839) implies:
% 237.05/48.05 | (840) $i(all_1530_2)
% 237.05/48.05 | (841) c_RealDef_Oreal(tc_Nat_Onat, all_1530_5) = all_1530_4
% 237.05/48.05 | (842) c_RealDef_Oreal(tc_Nat_Onat, all_1530_2) = all_1530_1
% 237.05/48.05 | (843) c_Nat_OSuc(all_1530_7) = all_1530_2
% 237.05/48.05 | (844) c_Nat_OSuc(all_1530_6) = all_1530_5
% 237.05/48.05 | (845) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) =
% 237.05/48.05 | all_1530_7
% 237.05/48.05 | (846) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1530_8,
% 237.05/48.05 | all_1530_4) = all_1530_3
% 237.05/48.05 | (847) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1530_8,
% 237.05/48.05 | all_1530_1) = all_1530_0
% 237.05/48.05 | (848) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1530_8
% 237.05/48.05 | (849) hAPP(v_f____, all_1530_7) = all_1530_6
% 237.05/48.05 | (850) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1530_3,
% 237.05/48.05 | all_1530_0) = 0
% 237.05/48.05 |
% 237.05/48.05 | DELTA: instantiating (233) with fresh symbol all_1532_0 gives:
% 237.05/48.05 | (851) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1532_0 &
% 237.05/48.05 | $i(all_1532_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.05 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 237.05/48.05 | [v8: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v4, v3) =
% 237.05/48.05 | v5) | ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v4, v1) =
% 237.05/48.05 | v7) | ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v6, v8)
% 237.05/48.05 | = 0) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v0) = v8)
% 237.05/48.05 | | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v5, v2) = v6) | ~
% 237.05/48.05 | $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v9:
% 237.05/48.05 | any] : ? [v10: any] : ? [v11: any] : ? [v12: any] :
% 237.05/48.05 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v3) = v12 &
% 237.05/48.05 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, all_1532_0) =
% 237.05/48.05 | v9 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v2) = v11 &
% 237.05/48.05 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v0) = v10 & ( ~
% 237.05/48.05 | (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v12 = 0)))
% 237.05/48.05 |
% 237.05/48.05 | ALPHA: (851) implies:
% 237.05/48.05 | (852) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1532_0
% 237.05/48.05 |
% 237.05/48.05 | DELTA: instantiating (235) with fresh symbol all_1535_0 gives:
% 237.05/48.05 | (853) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1535_0 &
% 237.05/48.05 | $i(all_1535_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.05 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 237.05/48.05 | [v8: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v4, v3) =
% 237.05/48.05 | v5) | ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v4, v1) =
% 237.05/48.05 | v7) | ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v6, v8)
% 237.05/48.05 | = 0) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v0) = v8)
% 237.05/48.05 | | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v5, v2) = v6) | ~
% 237.05/48.05 | $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v9:
% 237.05/48.05 | any] : ? [v10: any] : ? [v11: any] : ? [v12: any] :
% 237.05/48.05 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v1) = v12 &
% 237.05/48.05 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1535_0, v2) =
% 237.05/48.05 | v9 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v4) = v10 &
% 237.05/48.05 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v4) = v11 & ( ~
% 237.05/48.05 | (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v12 = 0)))
% 237.05/48.05 |
% 237.05/48.05 | ALPHA: (853) implies:
% 237.05/48.05 | (854) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1535_0
% 237.05/48.05 |
% 237.05/48.05 | DELTA: instantiating (135) with fresh symbols all_1538_0, all_1538_1 gives:
% 237.05/48.06 | (855) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1538_0 &
% 237.05/48.06 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.05/48.06 | all_1538_1 & $i(all_1538_0) & $i(all_1538_1) & ? [v0: $i] : ($i(v0)
% 237.05/48.06 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 237.05/48.06 | $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: int] :
% 237.05/48.06 | (v9 = 0 | ~ (hAPP(v0, v1) = v2) | ~
% 237.05/48.06 | (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v2) = v3) | ~
% 237.05/48.06 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4) |
% 237.05/48.06 | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1538_0,
% 237.05/48.06 | v6) = v7) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 237.05/48.06 | all_1538_1, v7) = v8) | ~ (c_Nat_OSuc(v1) = v5) | ~
% 237.05/48.06 | (c_RealDef_Oreal(tc_Nat_Onat, v5) = v6) | ~
% 237.05/48.06 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v8) = v9) |
% 237.05/48.06 | ~ $i(v1)) & ! [v1: $i] : ! [v2: $i] : ( ~ (hAPP(v0, v1) = v2) |
% 237.05/48.06 | ~ $i(v1) | ? [v3: $i] :
% 237.05/48.06 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v_r) = 0
% 237.05/48.06 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3
% 237.05/48.06 | & $i(v3))))
% 237.05/48.06 |
% 237.05/48.06 | ALPHA: (855) implies:
% 237.05/48.06 | (856) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.05/48.06 | all_1538_1
% 237.05/48.06 | (857) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1538_0
% 237.05/48.06 |
% 237.05/48.06 | DELTA: instantiating (184) with fresh symbol all_1540_0 gives:
% 237.05/48.06 | (858) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1540_0 &
% 237.05/48.06 | $i(all_1540_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : ! [v3:
% 237.05/48.06 | int] : (v3 = 0 | v2 = 0 | ~
% 237.05/48.06 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1540_0, v1) = v2) |
% 237.05/48.06 | ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1540_0, v0) =
% 237.05/48.06 | v3) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : ? [v5: int] : ( ~
% 237.05/48.06 | (v5 = 0) & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v4
% 237.05/48.06 | & c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1540_0, v4) = v5
% 237.05/48.06 | & $i(v4))) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ! [v3:
% 237.05/48.06 | any] : ( ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1540_0,
% 237.05/48.06 | v1) = v2) | ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 237.05/48.06 | all_1540_0, v0) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] :
% 237.05/48.06 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v4 &
% 237.05/48.06 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1540_0, v4) = 0 &
% 237.05/48.06 | $i(v4)) | ( ~ (v3 = 0) & ~ (v2 = 0)))
% 237.05/48.06 |
% 237.05/48.06 | ALPHA: (858) implies:
% 237.05/48.06 | (859) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1540_0
% 237.05/48.06 |
% 237.05/48.06 | DELTA: instantiating (177) with fresh symbol all_1543_0 gives:
% 237.05/48.06 | (860) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1543_0 &
% 237.05/48.06 | $i(all_1543_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.06 | int] : (v3 = 0 | ~ (c_Nat_OSuc(v0) = v2) | ~
% 237.05/48.06 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) = v3) | ~
% 237.05/48.06 | $i(v1) | ~ $i(v0) | ( ~ (v1 = all_1543_0) & ! [v4: $i] : ( ~
% 237.05/48.06 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v0) = 0) | ~
% 237.05/48.06 | $i(v4) | ? [v5: $i] : ( ~ (v5 = v1) & c_Nat_OSuc(v4) = v5 &
% 237.05/48.06 | $i(v5))))) & ! [v0: $i] : ! [v1: any] : ! [v2: $i] : (v1 =
% 237.05/48.06 | all_1543_0 | ~ (c_Nat_OSuc(v0) = v2) | ~
% 237.05/48.06 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) = 0) | ~
% 237.05/48.06 | $i(v1) | ~ $i(v0) | ? [v3: $i] : (c_Nat_OSuc(v3) = v1 &
% 237.05/48.06 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v0) = 0 & $i(v3)))
% 237.05/48.06 |
% 237.05/48.06 | ALPHA: (860) implies:
% 237.05/48.06 | (861) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1543_0
% 237.05/48.06 |
% 237.05/48.06 | DELTA: instantiating (136) with fresh symbols all_1546_0, all_1546_1 gives:
% 237.05/48.06 | (862) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1546_0 &
% 237.05/48.06 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.05/48.06 | all_1546_1 & $i(all_1546_0) & $i(all_1546_1) & ! [v0: $i] : ! [v1:
% 237.05/48.06 | $i] : ( ~ (c_Nat_OSuc(v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3:
% 237.05/48.06 | $i] : ? [v4: $i] :
% 237.05/48.06 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1546_0, v2)
% 237.05/48.06 | = v3 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1546_1,
% 237.05/48.06 | v3) = v4 & c_RealDef_Oreal(tc_Nat_Onat, v1) = v2 & $i(v4) &
% 237.05/48.06 | $i(v3) & $i(v2) & ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ?
% 237.05/48.06 | [v8: $i] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 237.05/48.06 | v6, v_r) = 0 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p,
% 237.05/48.06 | v5) = v7 &
% 237.05/48.06 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v7) = v8 &
% 237.05/48.06 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6 &
% 237.05/48.06 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v4) = 0 &
% 237.05/48.06 | $i(v8) & $i(v7) & $i(v6) & $i(v5))))
% 237.05/48.06 |
% 237.05/48.06 | ALPHA: (862) implies:
% 237.05/48.06 | (863) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.05/48.06 | all_1546_1
% 237.05/48.06 | (864) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1546_0
% 237.05/48.06 |
% 237.05/48.06 | DELTA: instantiating (161) with fresh symbol all_1549_0 gives:
% 237.05/48.06 | (865) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1549_0 &
% 237.05/48.06 | $i(all_1549_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.06 | $i] : ! [v4: $i] : ! [v5: int] : (v5 = 0 | ~
% 237.05/48.06 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v1) = v3) | ~
% 237.05/48.06 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0, v1) = v4) | ~
% 237.05/48.06 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4) = v5) | ~
% 237.05/48.06 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 237.05/48.06 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0) = v7 &
% 237.05/48.06 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1549_0, v1) = v6 &
% 237.05/48.06 | ( ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v0: $i] : ! [v1: $i] : !
% 237.05/48.06 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 237.05/48.06 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v1) = v3) | ~
% 237.05/48.06 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0, v1) = v4) | ~
% 237.05/48.06 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4) = 0) | ~
% 237.05/48.06 | $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 237.05/48.06 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0) = 0 &
% 237.05/48.06 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1549_0, v1) = 0))
% 237.05/48.06 |
% 237.05/48.06 | ALPHA: (865) implies:
% 237.05/48.06 | (866) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1549_0
% 237.05/48.06 |
% 237.05/48.06 | DELTA: instantiating (3) with fresh symbols all_1552_0, all_1552_1,
% 237.05/48.06 | all_1552_2, all_1552_3, all_1552_4, all_1552_5, all_1552_6, all_1552_7,
% 237.05/48.06 | all_1552_8, all_1552_9 gives:
% 237.05/48.06 | (867) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1552_9 &
% 237.05/48.06 | c_Int_OBit1(c_Int_OPls) = all_1552_3 & c_Int_OBit0(all_1552_3) =
% 237.05/48.06 | all_1552_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 237.05/48.06 | all_1552_2) = all_1552_1 & c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 237.05/48.06 | v_p, v_z____) = all_1552_8 &
% 237.05/48.06 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1552_8) =
% 237.05/48.06 | all_1552_7 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 237.05/48.06 | v_s____) = all_1552_6 &
% 237.05/48.06 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1552_7,
% 237.05/48.06 | all_1552_6) = all_1552_5 &
% 237.05/48.06 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1552_5) = all_1552_4
% 237.05/48.06 | & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1552_4,
% 237.05/48.06 | all_1552_1) = all_1552_0 &
% 237.05/48.06 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1552_9,
% 237.05/48.06 | all_1552_0) = 0 & $i(all_1552_0) & $i(all_1552_1) & $i(all_1552_2)
% 237.05/48.06 | & $i(all_1552_3) & $i(all_1552_4) & $i(all_1552_5) & $i(all_1552_6) &
% 237.05/48.06 | $i(all_1552_7) & $i(all_1552_8) & $i(all_1552_9)
% 237.05/48.06 |
% 237.05/48.06 | ALPHA: (867) implies:
% 237.05/48.06 | (868) $i(all_1552_8)
% 237.05/48.06 | (869) $i(all_1552_7)
% 237.05/48.06 | (870) $i(all_1552_5)
% 237.05/48.06 | (871) $i(all_1552_4)
% 237.05/48.06 | (872) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1552_9,
% 237.05/48.06 | all_1552_0) = 0
% 237.05/48.06 | (873) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1552_4,
% 237.05/48.06 | all_1552_1) = all_1552_0
% 237.05/48.06 | (874) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1552_5) = all_1552_4
% 237.05/48.06 | (875) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1552_7,
% 237.05/48.06 | all_1552_6) = all_1552_5
% 237.05/48.06 | (876) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.05/48.06 | all_1552_6
% 237.05/48.06 | (877) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1552_8) =
% 237.05/48.06 | all_1552_7
% 237.05/48.06 | (878) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = all_1552_8
% 237.05/48.06 | (879) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1552_2) =
% 237.05/48.06 | all_1552_1
% 237.05/48.06 | (880) c_Int_OBit0(all_1552_3) = all_1552_2
% 237.05/48.06 | (881) c_Int_OBit1(c_Int_OPls) = all_1552_3
% 237.05/48.06 | (882) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1552_9
% 237.05/48.06 |
% 237.05/48.06 | DELTA: instantiating (183) with fresh symbols all_1554_0, all_1554_1 gives:
% 237.05/48.06 | (883) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1554_1 &
% 237.05/48.06 | c_Nat_OSuc(all_1554_1) = all_1554_0 & $i(all_1554_0) & $i(all_1554_1)
% 237.05/48.06 | & ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ! [v3: any] : ( ~
% 237.05/48.06 | (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_1554_0, v1) =
% 237.05/48.06 | v2) | ~ (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,
% 237.05/48.06 | all_1554_0, v0) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] :
% 237.05/48.06 | ? [v5: int] : ( ~ (v5 = 0) &
% 237.05/48.06 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1, v0) = v4 &
% 237.05/48.06 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_1554_0, v4) =
% 237.05/48.06 | v5 & $i(v4)) | (v3 = 0 & v2 = 0)) & ! [v0: $i] : ! [v1: $i] : (
% 237.05/48.06 | ~ (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_1554_0, v1) =
% 237.05/48.06 | 0) | ~ (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,
% 237.05/48.06 | all_1554_0, v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] :
% 237.05/48.06 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1, v0) = v2 &
% 237.05/48.06 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_1554_0, v2) =
% 237.05/48.06 | 0 & $i(v2)))
% 237.05/48.06 |
% 237.05/48.06 | ALPHA: (883) implies:
% 237.05/48.06 | (884) c_Nat_OSuc(all_1554_1) = all_1554_0
% 237.05/48.06 | (885) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1554_1
% 237.05/48.06 |
% 237.05/48.06 | DELTA: instantiating (160) with fresh symbol all_1557_0 gives:
% 237.05/48.06 | (886) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1557_0 &
% 237.05/48.06 | $i(all_1557_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.06 | $i] : ! [v4: $i] : ! [v5: int] : (v5 = 0 | ~
% 237.05/48.06 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v1) = v3) | ~
% 237.05/48.06 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v0) = v4) | ~
% 237.05/48.06 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4) = v5) | ~
% 237.05/48.06 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 237.05/48.06 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) = v7 &
% 237.05/48.06 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1557_0, v2) = v6 &
% 237.05/48.06 | ( ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v0: $i] : ! [v1: $i] : !
% 237.05/48.06 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 237.05/48.06 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v1) = v3) | ~
% 237.05/48.06 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v0) = v4) | ~
% 237.05/48.06 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4) = 0) | ~
% 237.05/48.06 | $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 237.05/48.06 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) = 0 &
% 237.05/48.06 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1557_0, v2) = 0))
% 237.05/48.06 |
% 237.05/48.06 | ALPHA: (886) implies:
% 237.05/48.06 | (887) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1557_0
% 237.05/48.06 |
% 237.05/48.06 | DELTA: instantiating (136) with fresh symbols all_1560_0, all_1560_1 gives:
% 237.05/48.06 | (888) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1560_0 &
% 237.05/48.06 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.05/48.06 | all_1560_1 & $i(all_1560_0) & $i(all_1560_1) & ! [v0: $i] : ! [v1:
% 237.05/48.06 | $i] : ( ~ (c_Nat_OSuc(v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3:
% 237.05/48.06 | $i] : ? [v4: $i] :
% 237.05/48.06 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1560_0, v2)
% 237.05/48.06 | = v3 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1560_1,
% 237.05/48.06 | v3) = v4 & c_RealDef_Oreal(tc_Nat_Onat, v1) = v2 & $i(v4) &
% 237.05/48.06 | $i(v3) & $i(v2) & ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ?
% 237.05/48.06 | [v8: $i] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 237.05/48.06 | v6, v_r) = 0 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p,
% 237.05/48.06 | v5) = v7 &
% 237.05/48.06 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v7) = v8 &
% 237.05/48.06 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6 &
% 237.05/48.06 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v4) = 0 &
% 237.05/48.06 | $i(v8) & $i(v7) & $i(v6) & $i(v5))))
% 237.05/48.06 |
% 237.05/48.06 | ALPHA: (888) implies:
% 237.05/48.06 | (889) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.05/48.06 | all_1560_1
% 237.05/48.06 | (890) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1560_0
% 237.05/48.06 |
% 237.05/48.06 | DELTA: instantiating (2) with fresh symbols all_1563_0, all_1563_1,
% 237.05/48.06 | all_1563_2, all_1563_3, all_1563_4, all_1563_5, all_1563_6, all_1563_7,
% 237.05/48.06 | all_1563_8, all_1563_9 gives:
% 237.05/48.06 | (891) c_Int_OBit1(c_Int_OPls) = all_1563_9 & c_Int_OBit0(all_1563_9) =
% 237.05/48.06 | all_1563_8 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 237.05/48.06 | all_1563_8) = all_1563_7 & c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 237.05/48.06 | v_p, v_z____) = all_1563_6 &
% 237.05/48.06 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1563_6) =
% 237.05/48.06 | all_1563_5 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 237.05/48.06 | v_s____) = all_1563_4 &
% 237.05/48.06 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1563_5,
% 237.05/48.06 | all_1563_4) = all_1563_3 &
% 237.05/48.06 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1563_3) = all_1563_2
% 237.05/48.06 | & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1563_7,
% 237.05/48.06 | all_1563_2) = all_1563_1 & c_RealDef_Oreal(tc_Nat_Onat, v_N2____) =
% 237.05/48.06 | all_1563_0 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 237.05/48.06 | all_1563_1, all_1563_0) = 0 & $i(all_1563_0) & $i(all_1563_1) &
% 237.05/48.06 | $i(all_1563_2) & $i(all_1563_3) & $i(all_1563_4) & $i(all_1563_5) &
% 237.05/48.06 | $i(all_1563_6) & $i(all_1563_7) & $i(all_1563_8) & $i(all_1563_9)
% 237.05/48.06 |
% 237.05/48.06 | ALPHA: (891) implies:
% 237.05/48.06 | (892) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1563_1,
% 237.05/48.06 | all_1563_0) = 0
% 237.05/48.06 | (893) c_RealDef_Oreal(tc_Nat_Onat, v_N2____) = all_1563_0
% 237.05/48.06 | (894) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1563_7,
% 237.05/48.06 | all_1563_2) = all_1563_1
% 237.05/48.06 | (895) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1563_3) = all_1563_2
% 237.05/48.06 | (896) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1563_5,
% 237.05/48.06 | all_1563_4) = all_1563_3
% 237.05/48.06 | (897) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.05/48.06 | all_1563_4
% 237.05/48.07 | (898) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1563_6) =
% 237.05/48.07 | all_1563_5
% 237.05/48.07 | (899) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = all_1563_6
% 237.05/48.07 | (900) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1563_8) =
% 237.05/48.07 | all_1563_7
% 237.05/48.07 | (901) c_Int_OBit0(all_1563_9) = all_1563_8
% 237.05/48.07 | (902) c_Int_OBit1(c_Int_OPls) = all_1563_9
% 237.05/48.07 |
% 237.05/48.07 | DELTA: instantiating (230) with fresh symbol all_1565_0 gives:
% 237.05/48.07 | (903) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1565_0 &
% 237.05/48.07 | $i(all_1565_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.07 | $i] : ! [v4: int] : (v4 = all_1565_0 | ~
% 237.05/48.07 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v3) = v4) | ~
% 237.05/48.07 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~
% 237.05/48.07 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3) | ~
% 237.05/48.07 | $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = 0) &
% 237.05/48.07 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, c_Int_OPls) = v5))
% 237.05/48.07 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i]
% 237.05/48.07 | : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v3) = v4) | ~
% 237.05/48.07 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~
% 237.05/48.07 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3) | ~
% 237.05/48.07 | $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: $i] : ? [v7: $i] :
% 237.05/48.07 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1, v0) = v6 &
% 237.05/48.07 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v6) = v7 &
% 237.05/48.07 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, c_Int_OPls) = v5 &
% 237.05/48.07 | $i(v7) & $i(v6) & (v7 = v4 | v5 = 0)))
% 237.05/48.07 |
% 237.05/48.07 | ALPHA: (903) implies:
% 237.05/48.07 | (904) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1565_0
% 237.05/48.07 |
% 237.05/48.07 | DELTA: instantiating (216) with fresh symbol all_1568_0 gives:
% 237.05/48.07 | (905) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1568_0 &
% 237.05/48.07 | $i(all_1568_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.07 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 237.05/48.07 | [v8: int] : (v8 = 0 | ~
% 237.05/48.07 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v6, v0) = v7) | ~
% 237.05/48.07 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v4, v1) = v5) | ~
% 237.05/48.07 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v3) = v4) | ~
% 237.05/48.07 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v2) = v6) | ~
% 237.05/48.07 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v7) = v8) | ~
% 237.05/48.07 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v9: any] : ?
% 237.05/48.07 | [v10: any] : ? [v11: $i] : ? [v12: $i] : ? [v13: any] :
% 237.05/48.07 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v0) = v12 &
% 237.05/48.07 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v1) = v11 &
% 237.05/48.07 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v12) = v13 &
% 237.05/48.07 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1568_0, v3) =
% 237.05/48.07 | v9 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1568_0,
% 237.05/48.07 | v2) = v10 & $i(v12) & $i(v11) & ( ~ (v13 = 0) | ~ (v10 = 0) |
% 237.05/48.07 | ~ (v9 = 0))))
% 237.05/48.07 |
% 237.05/48.07 | ALPHA: (905) implies:
% 237.05/48.07 | (906) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1568_0
% 237.05/48.07 |
% 237.05/48.07 | DELTA: instantiating (217) with fresh symbol all_1571_0 gives:
% 237.05/48.07 | (907) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1571_0 &
% 237.05/48.07 | $i(all_1571_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.07 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 237.05/48.07 | [v8: int] : (v8 = 0 | ~
% 237.05/48.07 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v4) = v5) | ~
% 237.05/48.07 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0, v6) = v7) | ~
% 237.05/48.07 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v3) = v4) | ~
% 237.05/48.07 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v2) = v6) | ~
% 237.05/48.07 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v7) = v8) | ~
% 237.05/48.07 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v9: any] : ?
% 237.05/48.07 | [v10: any] : ? [v11: $i] : ? [v12: $i] : ? [v13: any] :
% 237.05/48.07 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v0) = v12 &
% 237.05/48.07 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v1) = v11 &
% 237.05/48.07 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v12) = v13 &
% 237.05/48.07 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1571_0, v3) =
% 237.05/48.07 | v9 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1571_0,
% 237.05/48.07 | v2) = v10 & $i(v12) & $i(v11) & ( ~ (v13 = 0) | ~ (v10 = 0) |
% 237.05/48.07 | ~ (v9 = 0))))
% 237.05/48.07 |
% 237.05/48.07 | ALPHA: (907) implies:
% 237.05/48.07 | (908) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1571_0
% 237.05/48.07 |
% 237.05/48.07 | DELTA: instantiating (185) with fresh symbol all_1574_0 gives:
% 237.05/48.07 | (909) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1574_0 &
% 237.05/48.07 | $i(all_1574_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.07 | $i] : ! [v4: $i] : ! [v5: int] : (v5 = 0 | ~
% 237.05/48.07 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v1) = v3) | ~
% 237.05/48.07 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v0) = v4) | ~
% 237.05/48.07 | (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v4) = v5) | ~
% 237.05/48.07 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: int] : ( ~ (v6 = 0) &
% 237.05/48.07 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) = v6 &
% 237.05/48.07 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1574_0, v2) = 0))
% 237.05/48.07 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i]
% 237.05/48.07 | : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v1) = v3) | ~
% 237.05/48.07 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v0) = v4) | ~
% 237.05/48.07 | (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v4) = 0) | ~
% 237.05/48.07 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] :
% 237.05/48.07 | (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) = v6 &
% 237.05/48.07 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1574_0, v2) = v5 &
% 237.05/48.07 | ( ~ (v5 = 0) | v6 = 0)))
% 237.05/48.07 |
% 237.05/48.07 | ALPHA: (909) implies:
% 237.05/48.07 | (910) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1574_0
% 237.05/48.07 |
% 237.05/48.07 | DELTA: instantiating (186) with fresh symbol all_1577_0 gives:
% 237.05/48.07 | (911) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1577_0 &
% 237.05/48.07 | $i(all_1577_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.07 | $i] : ! [v4: $i] : ! [v5: int] : (v5 = 0 | ~
% 237.05/48.07 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v1) = v3) | ~
% 237.05/48.07 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0, v1) = v4) | ~
% 237.05/48.07 | (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v4) = v5) | ~
% 237.05/48.07 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: int] : ( ~ (v6 = 0) &
% 237.05/48.07 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0) = v6 &
% 237.05/48.07 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1577_0, v1) = 0))
% 237.05/48.07 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i]
% 237.05/48.07 | : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v1) = v3) | ~
% 237.05/48.07 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0, v1) = v4) | ~
% 237.05/48.07 | (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v4) = 0) | ~
% 237.05/48.07 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] :
% 237.05/48.07 | (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0) = v6 &
% 237.05/48.07 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1577_0, v1) = v5 &
% 237.05/48.07 | ( ~ (v5 = 0) | v6 = 0)))
% 237.05/48.07 |
% 237.05/48.07 | ALPHA: (911) implies:
% 237.05/48.07 | (912) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1577_0
% 237.05/48.07 |
% 237.05/48.07 | DELTA: instantiating (5) with fresh symbols all_1580_0, all_1580_1,
% 237.05/48.07 | all_1580_2, all_1580_3, all_1580_4, all_1580_5, all_1580_6, all_1580_7,
% 237.05/48.07 | all_1580_8 gives:
% 237.05/48.07 | (913) c_Int_OBit1(c_Int_OPls) = all_1580_8 & c_Int_OBit0(all_1580_8) =
% 237.05/48.07 | all_1580_7 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 237.05/48.07 | all_1580_7) = all_1580_6 & c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 237.05/48.07 | v_p, v_z____) = all_1580_5 &
% 237.05/48.07 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1580_5) =
% 237.05/48.07 | all_1580_4 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 237.05/48.07 | v_s____) = all_1580_3 &
% 237.05/48.07 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1580_4,
% 237.05/48.07 | all_1580_3) = all_1580_2 &
% 237.05/48.07 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1580_2) = all_1580_1
% 237.05/48.07 | & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1580_6,
% 237.05/48.07 | all_1580_1) = all_1580_0 & $i(all_1580_0) & $i(all_1580_1) &
% 237.05/48.07 | $i(all_1580_2) & $i(all_1580_3) & $i(all_1580_4) & $i(all_1580_5) &
% 237.05/48.07 | $i(all_1580_6) & $i(all_1580_7) & $i(all_1580_8) & ? [v0: $i] : ?
% 237.05/48.07 | [v1: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1 &
% 237.05/48.07 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1580_0, v1) = 0
% 237.05/48.07 | & $i(v1) & $i(v0))
% 237.05/48.07 |
% 237.05/48.07 | ALPHA: (913) implies:
% 237.05/48.07 | (914) $i(all_1580_0)
% 237.05/48.07 | (915) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1580_6,
% 237.05/48.07 | all_1580_1) = all_1580_0
% 237.05/48.07 | (916) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1580_2) = all_1580_1
% 237.05/48.07 | (917) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1580_4,
% 237.05/48.07 | all_1580_3) = all_1580_2
% 237.05/48.07 | (918) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.05/48.07 | all_1580_3
% 237.05/48.07 | (919) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1580_5) =
% 237.05/48.07 | all_1580_4
% 237.05/48.07 | (920) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = all_1580_5
% 237.05/48.07 | (921) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1580_7) =
% 237.05/48.07 | all_1580_6
% 237.05/48.07 | (922) c_Int_OBit0(all_1580_8) = all_1580_7
% 237.05/48.07 | (923) c_Int_OBit1(c_Int_OPls) = all_1580_8
% 237.05/48.07 | (924) ? [v0: $i] : ? [v1: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1 &
% 237.05/48.07 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1580_0, v1) = 0
% 237.05/48.07 | & $i(v1) & $i(v0))
% 237.05/48.07 |
% 237.05/48.07 | DELTA: instantiating (5) with fresh symbols all_1582_0, all_1582_1,
% 237.05/48.07 | all_1582_2, all_1582_3, all_1582_4, all_1582_5, all_1582_6, all_1582_7,
% 237.05/48.07 | all_1582_8 gives:
% 237.05/48.07 | (925) c_Int_OBit1(c_Int_OPls) = all_1582_8 & c_Int_OBit0(all_1582_8) =
% 237.05/48.07 | all_1582_7 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 237.05/48.07 | all_1582_7) = all_1582_6 & c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 237.05/48.07 | v_p, v_z____) = all_1582_5 &
% 237.05/48.07 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1582_5) =
% 237.05/48.07 | all_1582_4 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 237.05/48.07 | v_s____) = all_1582_3 &
% 237.05/48.07 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1582_4,
% 237.05/48.07 | all_1582_3) = all_1582_2 &
% 237.05/48.07 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1582_2) = all_1582_1
% 237.05/48.07 | & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1582_6,
% 237.05/48.07 | all_1582_1) = all_1582_0 & $i(all_1582_0) & $i(all_1582_1) &
% 237.05/48.07 | $i(all_1582_2) & $i(all_1582_3) & $i(all_1582_4) & $i(all_1582_5) &
% 237.05/48.07 | $i(all_1582_6) & $i(all_1582_7) & $i(all_1582_8) & ? [v0: $i] : ?
% 237.05/48.07 | [v1: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1 &
% 237.05/48.07 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1582_0, v1) = 0
% 237.05/48.07 | & $i(v1) & $i(v0))
% 237.05/48.07 |
% 237.05/48.07 | ALPHA: (925) implies:
% 237.05/48.07 | (926) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1582_6,
% 237.05/48.07 | all_1582_1) = all_1582_0
% 237.05/48.07 | (927) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1582_2) = all_1582_1
% 237.05/48.07 | (928) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1582_4,
% 237.05/48.07 | all_1582_3) = all_1582_2
% 237.05/48.07 | (929) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.05/48.07 | all_1582_3
% 237.05/48.07 | (930) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1582_5) =
% 237.05/48.07 | all_1582_4
% 237.05/48.07 | (931) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = all_1582_5
% 237.05/48.07 | (932) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1582_7) =
% 237.05/48.07 | all_1582_6
% 237.05/48.07 | (933) c_Int_OBit0(all_1582_8) = all_1582_7
% 237.05/48.07 | (934) c_Int_OBit1(c_Int_OPls) = all_1582_8
% 237.05/48.07 | (935) ? [v0: $i] : ? [v1: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1 &
% 237.05/48.07 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1582_0, v1) = 0
% 237.05/48.07 | & $i(v1) & $i(v0))
% 237.05/48.07 |
% 237.05/48.07 | DELTA: instantiating (36) with fresh symbols all_1584_0, all_1584_1,
% 237.05/48.07 | all_1584_2, all_1584_3, all_1584_4, all_1584_5, all_1584_6, all_1584_7,
% 237.05/48.07 | all_1584_8, all_1584_9, all_1584_10 gives:
% 237.05/48.07 | (936) hAPP(v_f____, all_1584_10) = all_1584_9 & v_g____(all_1584_9) =
% 237.05/48.07 | all_1584_8 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1584_4
% 237.05/48.07 | & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, all_1584_8) =
% 237.05/48.07 | all_1584_7 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 237.05/48.07 | all_1584_7) = all_1584_6 &
% 237.05/48.07 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.05/48.07 | all_1584_5 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 237.05/48.07 | all_1584_4, all_1584_2) = all_1584_1 &
% 237.05/48.07 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) =
% 237.05/48.07 | all_1584_10 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 237.05/48.07 | all_1584_5, all_1584_1) = all_1584_0 & c_Nat_OSuc(all_1584_9) =
% 237.05/48.07 | all_1584_3 & c_RealDef_Oreal(tc_Nat_Onat, all_1584_3) = all_1584_2 &
% 237.05/48.07 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1584_6,
% 237.05/48.07 | all_1584_0) = 0 & $i(all_1584_0) & $i(all_1584_1) & $i(all_1584_2)
% 237.05/48.07 | & $i(all_1584_3) & $i(all_1584_4) & $i(all_1584_5) & $i(all_1584_6) &
% 237.05/48.07 | $i(all_1584_7) & $i(all_1584_8) & $i(all_1584_9) & $i(all_1584_10)
% 237.05/48.07 |
% 237.05/48.07 | ALPHA: (936) implies:
% 237.05/48.07 | (937) $i(all_1584_7)
% 237.05/48.07 | (938) $i(all_1584_3)
% 237.05/48.07 | (939) $i(all_1584_1)
% 237.05/48.07 | (940) c_RealDef_Oreal(tc_Nat_Onat, all_1584_3) = all_1584_2
% 237.05/48.07 | (941) c_Nat_OSuc(all_1584_9) = all_1584_3
% 237.05/48.07 | (942) c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1584_5, all_1584_1)
% 237.05/48.07 | = all_1584_0
% 237.05/48.07 | (943) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) =
% 237.05/48.07 | all_1584_10
% 237.05/48.07 | (944) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1584_4,
% 237.05/48.07 | all_1584_2) = all_1584_1
% 237.05/48.07 | (945) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.05/48.07 | all_1584_5
% 237.05/48.07 | (946) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1584_7) =
% 237.05/48.07 | all_1584_6
% 237.05/48.07 | (947) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, all_1584_8) = all_1584_7
% 237.05/48.07 | (948) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1584_4
% 237.05/48.07 | (949) v_g____(all_1584_9) = all_1584_8
% 237.05/48.08 | (950) hAPP(v_f____, all_1584_10) = all_1584_9
% 237.05/48.08 |
% 237.05/48.08 | DELTA: instantiating (35) with fresh symbols all_1586_0, all_1586_1,
% 237.05/48.08 | all_1586_2, all_1586_3, all_1586_4, all_1586_5, all_1586_6, all_1586_7,
% 237.05/48.08 | all_1586_8, all_1586_9, all_1586_10 gives:
% 237.05/48.08 | (951) hAPP(v_f____, all_1586_10) = all_1586_9 & v_g____(all_1586_9) =
% 237.05/48.08 | all_1586_8 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1586_4
% 237.05/48.08 | & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, all_1586_8) =
% 237.05/48.08 | all_1586_7 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 237.05/48.08 | all_1586_7) = all_1586_6 &
% 237.05/48.08 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.05/48.08 | all_1586_5 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 237.05/48.08 | all_1586_4, all_1586_2) = all_1586_1 &
% 237.05/48.08 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) =
% 237.05/48.08 | all_1586_10 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 237.05/48.08 | all_1586_5, all_1586_1) = all_1586_0 & c_Nat_OSuc(all_1586_10) =
% 237.05/48.08 | all_1586_3 & c_RealDef_Oreal(tc_Nat_Onat, all_1586_3) = all_1586_2 &
% 237.05/48.08 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1586_6,
% 237.05/48.08 | all_1586_0) = 0 & $i(all_1586_0) & $i(all_1586_1) & $i(all_1586_2)
% 237.05/48.08 | & $i(all_1586_3) & $i(all_1586_4) & $i(all_1586_5) & $i(all_1586_6) &
% 237.05/48.08 | $i(all_1586_7) & $i(all_1586_8) & $i(all_1586_9) & $i(all_1586_10)
% 237.05/48.08 |
% 237.05/48.08 | ALPHA: (951) implies:
% 237.05/48.08 | (952) $i(all_1586_1)
% 237.05/48.08 | (953) c_RealDef_Oreal(tc_Nat_Onat, all_1586_3) = all_1586_2
% 237.05/48.08 | (954) c_Nat_OSuc(all_1586_10) = all_1586_3
% 237.05/48.08 | (955) c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1586_5, all_1586_1)
% 237.05/48.08 | = all_1586_0
% 237.05/48.08 | (956) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) =
% 237.05/48.08 | all_1586_10
% 237.05/48.08 | (957) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1586_4,
% 237.05/48.08 | all_1586_2) = all_1586_1
% 237.05/48.08 | (958) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.05/48.08 | all_1586_5
% 237.05/48.08 | (959) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1586_7) =
% 237.05/48.08 | all_1586_6
% 237.05/48.08 | (960) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, all_1586_8) = all_1586_7
% 237.05/48.08 | (961) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1586_4
% 237.05/48.08 | (962) v_g____(all_1586_9) = all_1586_8
% 237.05/48.08 | (963) hAPP(v_f____, all_1586_10) = all_1586_9
% 237.05/48.08 |
% 237.05/48.08 | DELTA: instantiating (134) with fresh symbols all_1588_0, all_1588_1,
% 237.05/48.08 | all_1588_2 gives:
% 237.05/48.08 | (964) c_Int_OBit1(c_Int_OPls) = all_1588_2 & c_Int_OBit0(all_1588_2) =
% 237.05/48.08 | all_1588_1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 237.05/48.08 | all_1588_1) = all_1588_0 & $i(all_1588_0) & $i(all_1588_1) &
% 237.05/48.08 | $i(all_1588_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.08 | $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v2 | ~
% 237.05/48.08 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1588_0, v2) =
% 237.05/48.08 | v3) | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,
% 237.05/48.08 | all_1588_0, v0) = v4) | ~
% 237.05/48.08 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v4) = v5) |
% 237.05/48.08 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] : ( ~ (v6 = v3) &
% 237.05/48.08 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v6 &
% 237.05/48.08 | $i(v6))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 237.05/48.08 | : ! [v4: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,
% 237.05/48.08 | all_1588_0, v2) = v4) | ~
% 237.05/48.08 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1588_0, v0) =
% 237.05/48.08 | v3) | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1,
% 237.05/48.08 | v3) = v2) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 237.05/48.08 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v4 &
% 237.05/48.08 | $i(v4)))
% 237.05/48.08 |
% 237.05/48.08 | ALPHA: (964) implies:
% 237.05/48.08 | (965) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1588_1) =
% 237.05/48.08 | all_1588_0
% 237.05/48.08 | (966) c_Int_OBit0(all_1588_2) = all_1588_1
% 237.05/48.08 | (967) c_Int_OBit1(c_Int_OPls) = all_1588_2
% 237.05/48.08 |
% 237.05/48.08 | DELTA: instantiating (232) with fresh symbol all_1591_0 gives:
% 237.05/48.08 | (968) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1591_0 &
% 237.05/48.08 | $i(all_1591_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.08 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 237.05/48.08 | [v8: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v5, v4) =
% 237.05/48.08 | v6) | ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v2, v1) =
% 237.05/48.08 | v8) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v8, v0) = v7)
% 237.05/48.08 | | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v6, v3) = v7) | ~
% 237.05/48.08 | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0)
% 237.05/48.08 | | ? [v9: any] : ? [v10: any] : ? [v11: any] : ? [v12: any] : ?
% 237.05/48.08 | [v13: any] : ? [v14: any] :
% 237.05/48.08 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v5) = v13 &
% 237.05/48.08 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v4) = v14 &
% 237.05/48.08 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1591_0, v0) =
% 237.05/48.08 | v11 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v7, all_1591_0)
% 237.05/48.08 | = v9 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v5) = v10 &
% 237.05/48.08 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1591_0, v2) = v12
% 237.05/48.08 | & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~
% 237.05/48.08 | (v9 = 0) | v14 = 0)))
% 237.05/48.08 |
% 237.05/48.08 | ALPHA: (968) implies:
% 237.05/48.08 | (969) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1591_0
% 237.05/48.08 |
% 237.05/48.08 | DELTA: instantiating (234) with fresh symbol all_1594_0 gives:
% 237.05/48.08 | (970) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1594_0 &
% 237.05/48.08 | $i(all_1594_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.08 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 237.05/48.08 | [v8: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v5, v4) =
% 237.05/48.08 | v6) | ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v2, v1) =
% 237.05/48.08 | v8) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v8, v0) = v7)
% 237.05/48.08 | | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v6, v3) = v7) | ~
% 237.05/48.08 | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0)
% 237.05/48.08 | | ? [v9: any] : ? [v10: any] : ? [v11: any] : ? [v12: any] : ?
% 237.05/48.08 | [v13: any] : ? [v14: any] :
% 237.05/48.08 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v4, v1) = v14 &
% 237.05/48.08 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v5) = v13 &
% 237.05/48.08 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1594_0, v7) =
% 237.05/48.08 | v9 & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1594_0,
% 237.05/48.08 | v3) = v11 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2)
% 237.05/48.08 | = v10 & c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1594_0,
% 237.05/48.08 | v2) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~
% 237.05/48.08 | (v10 = 0) | ~ (v9 = 0) | v14 = 0)))
% 237.05/48.08 |
% 237.05/48.08 | ALPHA: (970) implies:
% 237.05/48.08 | (971) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1594_0
% 237.05/48.08 |
% 237.05/48.08 | DELTA: instantiating (138) with fresh symbol all_1597_0 gives:
% 237.05/48.08 | (972) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.05/48.08 | all_1597_0 & $i(all_1597_0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 |
% 237.05/48.08 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1597_0, v0)
% 237.05/48.08 | = v1) | ~ $i(v0) | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 237.05/48.08 | (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v2) = v3) | ~
% 237.05/48.08 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4) |
% 237.05/48.08 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v0) = 0)
% 237.05/48.08 | | ~ $i(v2) | ? [v5: $i] : ? [v6: int] : ( ~ (v6 = 0) &
% 237.05/48.08 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v_r) =
% 237.05/48.08 | v6 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) =
% 237.05/48.08 | v5 & $i(v5)))) & ! [v0: $i] : ( ~
% 237.05/48.08 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1597_0, v0) =
% 237.05/48.08 | 0) | ~ $i(v0) | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ?
% 237.05/48.08 | [v4: $i] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 237.05/48.08 | v_r) = 0 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v1) =
% 237.05/48.08 | v3 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) =
% 237.05/48.08 | v4 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) =
% 237.05/48.08 | v2 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v0) = 0
% 237.05/48.08 | & $i(v4) & $i(v3) & $i(v2) & $i(v1)))
% 237.05/48.08 |
% 237.05/48.08 | ALPHA: (972) implies:
% 237.05/48.08 | (973) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.05/48.08 | all_1597_0
% 237.05/48.08 |
% 237.05/48.08 | DELTA: instantiating (137) with fresh symbols all_1600_0, all_1600_1 gives:
% 237.05/48.08 | (974) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.05/48.08 | all_1600_1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 237.05/48.08 | all_1600_1, all_1600_1) = all_1600_0 & $i(all_1600_1) &
% 237.05/48.08 | ((all_1600_0 = 0 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 237.05/48.08 | $i] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 237.05/48.08 | v_r) = 0 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v0) =
% 237.05/48.08 | v2 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) =
% 237.05/48.08 | v3 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) =
% 237.05/48.08 | v1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3,
% 237.05/48.08 | all_1600_1) = 0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))) | ( ~
% 237.05/48.08 | (all_1600_0 = 0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 237.05/48.08 | (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v0) = v1) | ~
% 237.05/48.08 | $i(v0) | ? [v2: $i] : ? [v3: any] : ? [v4: $i] : ? [v5:
% 237.05/48.08 | any] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 237.05/48.08 | v2, v_r) = v3 &
% 237.05/48.08 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v4
% 237.05/48.08 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) =
% 237.05/48.08 | v2 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4,
% 237.05/48.08 | all_1600_1) = v5 & $i(v4) & $i(v2) & ( ~ (v5 = 0) | ~ (v3
% 237.05/48.08 | = 0))))))
% 237.05/48.08 |
% 237.05/48.08 | ALPHA: (974) implies:
% 237.05/48.08 | (975) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.05/48.08 | all_1600_1
% 237.05/48.08 |
% 237.05/48.08 | DELTA: instantiating (1) with fresh symbols all_1602_0, all_1602_1,
% 237.05/48.08 | all_1602_2, all_1602_3, all_1602_4, all_1602_5, all_1602_6, all_1602_7,
% 237.05/48.08 | all_1602_8, all_1602_9, all_1602_10, all_1602_11 gives:
% 237.05/48.08 | (976) c_Int_OBit1(c_Int_OPls) = all_1602_11 & c_Int_OBit0(all_1602_11) =
% 237.05/48.08 | all_1602_10 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 237.05/48.08 | all_1602_10) = all_1602_9 & c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 237.05/48.08 | v_p, v_z____) = all_1602_8 &
% 237.05/48.08 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1602_8) =
% 237.05/48.08 | all_1602_7 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 237.05/48.08 | v_s____) = all_1602_6 &
% 237.05/48.08 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1602_7,
% 237.05/48.08 | all_1602_6) = all_1602_5 &
% 237.05/48.08 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1602_5) = all_1602_4
% 237.05/48.08 | & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1602_9,
% 237.05/48.08 | all_1602_4) = all_1602_3 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat,
% 237.05/48.08 | v_N1____, v_N2____) = all_1602_2 & c_Nat_OSuc(all_1602_2) =
% 237.05/48.08 | all_1602_1 & c_RealDef_Oreal(tc_Nat_Onat, all_1602_1) = all_1602_0 &
% 237.05/48.08 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1602_3,
% 237.05/48.08 | all_1602_0) = 0 & $i(all_1602_0) & $i(all_1602_1) & $i(all_1602_2)
% 237.05/48.08 | & $i(all_1602_3) & $i(all_1602_4) & $i(all_1602_5) & $i(all_1602_6) &
% 237.05/48.08 | $i(all_1602_7) & $i(all_1602_8) & $i(all_1602_9) & $i(all_1602_10) &
% 237.05/48.08 | $i(all_1602_11)
% 237.05/48.08 |
% 237.05/48.08 | ALPHA: (976) implies:
% 237.05/48.08 | (977) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1602_3,
% 237.05/48.08 | all_1602_0) = 0
% 237.05/48.08 | (978) c_RealDef_Oreal(tc_Nat_Onat, all_1602_1) = all_1602_0
% 237.05/48.08 | (979) c_Nat_OSuc(all_1602_2) = all_1602_1
% 237.05/48.08 | (980) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) =
% 237.05/48.08 | all_1602_2
% 237.05/48.08 | (981) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1602_9,
% 237.05/48.08 | all_1602_4) = all_1602_3
% 237.05/48.08 | (982) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1602_5) = all_1602_4
% 237.05/48.08 | (983) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1602_7,
% 237.05/48.08 | all_1602_6) = all_1602_5
% 237.05/48.08 | (984) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.05/48.08 | all_1602_6
% 237.05/48.08 | (985) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1602_8) =
% 237.05/48.08 | all_1602_7
% 237.05/48.08 | (986) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = all_1602_8
% 237.05/48.08 | (987) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1602_10) =
% 237.05/48.08 | all_1602_9
% 237.05/48.08 | (988) c_Int_OBit0(all_1602_11) = all_1602_10
% 237.05/48.08 | (989) c_Int_OBit1(c_Int_OPls) = all_1602_11
% 237.05/48.08 |
% 237.05/48.08 | DELTA: instantiating (50) with fresh symbols all_1604_0, all_1604_1,
% 237.05/48.08 | all_1604_2, all_1604_3, all_1604_4, all_1604_5, all_1604_6, all_1604_7,
% 237.05/48.08 | all_1604_8, all_1604_9, all_1604_10, all_1604_11 gives:
% 237.05/48.08 | (990) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1604_4,
% 237.05/48.08 | all_1604_0) = 0 & hAPP(v_f____, all_1604_9) = all_1604_8 &
% 237.05/48.08 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1604_10 &
% 237.05/48.08 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.05/48.08 | all_1604_11 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 237.05/48.08 | all_1604_10, all_1604_2) = all_1604_1 &
% 237.05/48.08 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1604_10,
% 237.05/48.08 | all_1604_6) = all_1604_5 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat,
% 237.05/48.08 | v_N1____, v_N2____) = all_1604_9 &
% 237.05/48.08 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1604_11,
% 237.05/48.08 | all_1604_1) = all_1604_0 &
% 237.05/48.08 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1604_11,
% 237.05/48.08 | all_1604_5) = all_1604_4 & c_Nat_OSuc(all_1604_8) = all_1604_7 &
% 237.05/48.08 | c_Nat_OSuc(all_1604_9) = all_1604_3 & c_RealDef_Oreal(tc_Nat_Onat,
% 237.05/48.08 | all_1604_3) = all_1604_2 & c_RealDef_Oreal(tc_Nat_Onat, all_1604_7)
% 237.05/48.08 | = all_1604_6 & $i(all_1604_0) & $i(all_1604_1) & $i(all_1604_2) &
% 237.05/48.08 | $i(all_1604_3) & $i(all_1604_4) & $i(all_1604_5) & $i(all_1604_6) &
% 237.05/48.08 | $i(all_1604_7) & $i(all_1604_8) & $i(all_1604_9) & $i(all_1604_10) &
% 237.05/48.08 | $i(all_1604_11)
% 237.05/48.08 |
% 237.05/48.08 | ALPHA: (990) implies:
% 237.05/48.08 | (991) c_RealDef_Oreal(tc_Nat_Onat, all_1604_7) = all_1604_6
% 237.05/48.08 | (992) c_RealDef_Oreal(tc_Nat_Onat, all_1604_3) = all_1604_2
% 237.05/48.08 | (993) c_Nat_OSuc(all_1604_9) = all_1604_3
% 237.05/48.08 | (994) c_Nat_OSuc(all_1604_8) = all_1604_7
% 237.05/48.08 | (995) c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1604_11,
% 237.05/48.08 | all_1604_5) = all_1604_4
% 237.05/48.08 | (996) c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1604_11,
% 237.05/48.08 | all_1604_1) = all_1604_0
% 237.05/48.08 | (997) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) =
% 237.05/48.08 | all_1604_9
% 237.05/48.08 | (998) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1604_10,
% 237.05/48.08 | all_1604_6) = all_1604_5
% 237.05/48.08 | (999) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1604_10,
% 237.05/48.08 | all_1604_2) = all_1604_1
% 237.05/48.08 | (1000) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.05/48.08 | all_1604_11
% 237.05/48.09 | (1001) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1604_10
% 237.05/48.09 | (1002) hAPP(v_f____, all_1604_9) = all_1604_8
% 237.05/48.09 |
% 237.05/48.09 | DELTA: instantiating (229) with fresh symbol all_1606_0 gives:
% 237.05/48.09 | (1003) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1606_0 &
% 237.05/48.09 | $i(all_1606_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.05/48.09 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: int] : (v6 = all_1606_0
% 237.05/48.09 | | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v4, v0) = v5) |
% 237.05/48.09 | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v5) = v6) | ~
% 237.05/48.09 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3) | ~
% 237.05/48.09 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v4) | ~
% 237.05/48.09 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v7: int] : ( ~ (v7 = 0) &
% 237.05/48.09 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, c_Int_OPls) =
% 237.05/48.09 | v7)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] :
% 237.05/48.09 | ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 237.05/48.09 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v4, v0) = v5) | ~
% 237.05/48.09 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3, v5) = v6) | ~
% 237.05/48.09 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3) | ~
% 237.05/48.09 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v4) | ~
% 237.05/48.09 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v7: any] : ? [v8: $i] : ?
% 237.05/48.09 | [v9: $i] : ? [v10: $i] :
% 237.05/48.09 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v2, v1) = v8 &
% 237.05/48.09 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v9, v0) = v10 &
% 237.05/48.09 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v8) = v9 &
% 237.05/48.09 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, c_Int_OPls) = v7
% 237.05/48.09 | & $i(v10) & $i(v9) & $i(v8) & (v10 = v6 | v7 = 0)))
% 237.05/48.09 |
% 237.05/48.09 | ALPHA: (1003) implies:
% 237.05/48.09 | (1004) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1606_0
% 237.05/48.09 |
% 237.05/48.09 | DELTA: instantiating (256) with fresh symbols all_1609_0, all_1609_1,
% 237.05/48.09 | all_1609_2, all_1609_3, all_1609_4, all_1609_5, all_1609_6, all_1609_7,
% 237.05/48.09 | all_1609_8, all_1609_9, all_1609_10, all_1609_11, all_1609_12,
% 237.05/48.09 | all_1609_13, all_1609_14 gives:
% 237.05/48.09 | (1005) ~ (all_1609_0 = 0) & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) =
% 237.05/48.09 | all_1609_14 & c_Int_OBit1(c_Int_OPls) = all_1609_4 &
% 237.05/48.09 | c_Int_OBit0(all_1609_4) = all_1609_3 &
% 237.05/48.09 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1609_3) =
% 237.05/48.09 | all_1609_2 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) =
% 237.05/48.09 | all_1609_9 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 237.05/48.09 | all_1609_9) = all_1609_8 &
% 237.05/48.09 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.05/48.09 | all_1609_7 & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,
% 237.05/48.09 | all_1609_8, all_1609_7) = all_1609_6 &
% 237.05/48.09 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1609_6) = all_1609_5
% 237.05/48.09 | & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1609_5,
% 237.05/48.09 | all_1609_2) = all_1609_1 &
% 237.05/48.09 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1609_14,
% 237.05/48.09 | all_1609_11) = all_1609_10 &
% 237.05/48.09 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) =
% 237.05/48.09 | all_1609_13 & c_Nat_OSuc(all_1609_13) = all_1609_12 &
% 237.05/48.09 | c_RealDef_Oreal(tc_Nat_Onat, all_1609_12) = all_1609_11 &
% 237.05/48.09 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1609_10,
% 237.05/48.09 | all_1609_1) = all_1609_0 & $i(all_1609_1) & $i(all_1609_2) &
% 237.05/48.09 | $i(all_1609_3) & $i(all_1609_4) & $i(all_1609_5) & $i(all_1609_6) &
% 237.05/48.09 | $i(all_1609_7) & $i(all_1609_8) & $i(all_1609_9) & $i(all_1609_10) &
% 237.05/48.09 | $i(all_1609_11) & $i(all_1609_12) & $i(all_1609_13) &
% 237.40/48.09 | $i(all_1609_14)
% 237.40/48.09 |
% 237.40/48.09 | ALPHA: (1005) implies:
% 237.40/48.09 | (1006) ~ (all_1609_0 = 0)
% 237.40/48.09 | (1007) $i(all_1609_1)
% 237.40/48.09 | (1008) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1609_10,
% 237.40/48.09 | all_1609_1) = all_1609_0
% 237.40/48.09 | (1009) c_RealDef_Oreal(tc_Nat_Onat, all_1609_12) = all_1609_11
% 237.40/48.09 | (1010) c_Nat_OSuc(all_1609_13) = all_1609_12
% 237.40/48.09 | (1011) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) =
% 237.40/48.09 | all_1609_13
% 237.40/48.09 | (1012) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1609_14,
% 237.40/48.09 | all_1609_11) = all_1609_10
% 237.40/48.09 | (1013) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1609_5,
% 237.40/48.09 | all_1609_2) = all_1609_1
% 237.40/48.09 | (1014) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1609_6) = all_1609_5
% 237.40/48.09 | (1015) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1609_8,
% 237.40/48.09 | all_1609_7) = all_1609_6
% 237.40/48.09 | (1016) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.40/48.09 | all_1609_7
% 237.40/48.09 | (1017) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1609_9) =
% 237.40/48.09 | all_1609_8
% 237.40/48.09 | (1018) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = all_1609_9
% 237.40/48.09 | (1019) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1609_3) =
% 237.40/48.09 | all_1609_2
% 237.40/48.09 | (1020) c_Int_OBit0(all_1609_4) = all_1609_3
% 237.40/48.09 | (1021) c_Int_OBit1(c_Int_OPls) = all_1609_4
% 237.40/48.09 | (1022) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1609_14
% 237.40/48.09 |
% 237.40/48.09 | DELTA: instantiating (65) with fresh symbol all_1611_0 gives:
% 237.40/48.09 | (1023) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1611_0 &
% 237.40/48.09 | $i(all_1611_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ! [v3:
% 237.40/48.09 | any] : ( ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 237.40/48.09 | all_1611_0, v1) = v3) | ~
% 237.40/48.09 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1611_0,
% 237.40/48.09 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : ? [v5: any]
% 237.40/48.09 | : ? [v6: any] : ? [v7: any] :
% 237.40/48.09 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 237.40/48.09 | all_1611_0) = v6 &
% 237.40/48.09 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 237.40/48.09 | all_1611_0) = v7 &
% 237.40/48.09 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1611_0,
% 237.40/48.09 | v4) = v5 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 237.40/48.09 | v1, v0) = v4 & $i(v4) & ( ~ (v5 = 0) | ((v7 = 0 | v3 = 0) &
% 237.40/48.09 | (v6 = 0 | v2 = 0))))) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 237.40/48.09 | any] : ! [v3: any] : ( ~
% 237.40/48.09 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1611_0,
% 237.40/48.09 | v1) = v3) | ~
% 237.40/48.09 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1611_0,
% 237.40/48.09 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5:
% 237.40/48.09 | any] : ? [v6: $i] : ? [v7: any] :
% 237.40/48.09 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 237.40/48.09 | all_1611_0) = v4 &
% 237.40/48.09 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 237.40/48.09 | all_1611_0) = v5 &
% 237.40/48.09 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1611_0,
% 237.40/48.09 | v6) = v7 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 237.40/48.09 | v1, v0) = v6 & $i(v6) & (v7 = 0 | ( ~ (v5 = 0) & ~ (v3 = 0))
% 237.40/48.09 | | ( ~ (v4 = 0) & ~ (v2 = 0)))))
% 237.40/48.09 |
% 237.40/48.09 | ALPHA: (1023) implies:
% 237.40/48.09 | (1024) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1611_0
% 237.40/48.09 |
% 237.40/48.09 | DELTA: instantiating (139) with fresh symbol all_1614_0 gives:
% 237.40/48.09 | (1025) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.40/48.09 | all_1614_0 & $i(all_1614_0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 |
% 237.40/48.09 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1614_0,
% 237.40/48.09 | v0) = v1) | ~ $i(v0) | ! [v2: $i] : ! [v3: $i] : ! [v4:
% 237.40/48.09 | $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 237.40/48.09 | (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v2) = v3) | ~
% 237.40/48.09 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4)
% 237.40/48.09 | | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v5) =
% 237.40/48.09 | v6) | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 237.40/48.09 | v4) = v5) | ~
% 237.40/48.09 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v0) = 0) |
% 237.40/48.09 | ~ $i(v2) | ? [v7: $i] : ? [v8: int] : ( ~ (v8 = 0) &
% 237.40/48.09 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7, v_r) =
% 237.40/48.09 | v8 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2)
% 237.40/48.09 | = v7 & $i(v7)))) & ! [v0: $i] : ( ~
% 237.40/48.09 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1614_0, v0) =
% 237.40/48.09 | 0) | ~ $i(v0) | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ?
% 237.40/48.09 | [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 237.40/48.09 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v_r) = 0
% 237.40/48.09 | & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v1) = v3 &
% 237.40/48.09 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 237.40/48.09 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 &
% 237.40/48.09 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v5) = v6 &
% 237.40/48.09 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v4) = v5 &
% 237.40/48.09 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v0) = 0 &
% 237.40/48.09 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1)))
% 237.40/48.09 |
% 237.40/48.09 | ALPHA: (1025) implies:
% 237.40/48.09 | (1026) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.40/48.09 | all_1614_0
% 237.40/48.09 |
% 237.40/48.09 | DELTA: instantiating (34) with fresh symbols all_1617_0, all_1617_1,
% 237.40/48.09 | all_1617_2, all_1617_3, all_1617_4, all_1617_5, all_1617_6, all_1617_7,
% 237.40/48.09 | all_1617_8, all_1617_9, all_1617_10, all_1617_11, all_1617_12,
% 237.40/48.09 | all_1617_13, all_1617_14 gives:
% 237.40/48.09 | (1027) hAPP(v_f____, all_1617_14) = all_1617_13 & v_g____(all_1617_13) =
% 237.40/48.09 | all_1617_12 & c_Int_OBit1(c_Int_OPls) = all_1617_3 &
% 237.40/48.09 | c_Int_OBit0(all_1617_3) = all_1617_2 &
% 237.40/48.09 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1617_2) =
% 237.40/48.09 | all_1617_1 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p,
% 237.40/48.09 | all_1617_12) = all_1617_11 &
% 237.40/48.09 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = all_1617_10
% 237.40/48.09 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1617_9) =
% 237.40/48.09 | all_1617_8 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 237.40/48.09 | all_1617_10) = all_1617_7 &
% 237.40/48.09 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.40/48.09 | all_1617_6 & c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,
% 237.40/48.09 | all_1617_11, all_1617_10) = all_1617_9 &
% 237.40/48.09 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1617_7,
% 237.40/48.09 | all_1617_6) = all_1617_5 &
% 237.40/48.09 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1617_5) = all_1617_4
% 237.40/48.09 | & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1617_4,
% 237.40/48.09 | all_1617_1) = all_1617_0 &
% 237.40/48.09 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) =
% 237.40/48.09 | all_1617_14 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 237.40/48.09 | all_1617_8, all_1617_0) = 0 & $i(all_1617_0) & $i(all_1617_1) &
% 237.40/48.09 | $i(all_1617_2) & $i(all_1617_3) & $i(all_1617_4) & $i(all_1617_5) &
% 237.40/48.09 | $i(all_1617_6) & $i(all_1617_7) & $i(all_1617_8) & $i(all_1617_9) &
% 237.40/48.09 | $i(all_1617_10) & $i(all_1617_11) & $i(all_1617_12) &
% 237.40/48.09 | $i(all_1617_13) & $i(all_1617_14)
% 237.40/48.09 |
% 237.40/48.09 | ALPHA: (1027) implies:
% 237.40/48.09 | (1028) $i(all_1617_9)
% 237.40/48.09 | (1029) $i(all_1617_8)
% 237.40/48.09 | (1030) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1617_8,
% 237.40/48.09 | all_1617_0) = 0
% 237.40/48.09 | (1031) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) =
% 237.40/48.09 | all_1617_14
% 237.40/48.09 | (1032) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1617_4,
% 237.40/48.09 | all_1617_1) = all_1617_0
% 237.40/48.09 | (1033) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1617_5) = all_1617_4
% 237.40/48.09 | (1034) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1617_7,
% 237.40/48.09 | all_1617_6) = all_1617_5
% 237.40/48.09 | (1035) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1617_11,
% 237.40/48.09 | all_1617_10) = all_1617_9
% 237.40/48.09 | (1036) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.40/48.09 | all_1617_6
% 237.40/48.09 | (1037) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1617_10) =
% 237.40/48.09 | all_1617_7
% 237.40/48.09 | (1038) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1617_9) =
% 237.40/48.09 | all_1617_8
% 237.40/48.09 | (1039) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = all_1617_10
% 237.40/48.09 | (1040) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, all_1617_12) =
% 237.40/48.09 | all_1617_11
% 237.40/48.09 | (1041) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1617_2) =
% 237.40/48.09 | all_1617_1
% 237.40/48.09 | (1042) c_Int_OBit0(all_1617_3) = all_1617_2
% 237.40/48.09 | (1043) c_Int_OBit1(c_Int_OPls) = all_1617_3
% 237.40/48.09 | (1044) v_g____(all_1617_13) = all_1617_12
% 237.40/48.09 | (1045) hAPP(v_f____, all_1617_14) = all_1617_13
% 237.40/48.09 |
% 237.40/48.09 | DELTA: instantiating (14) with fresh symbols all_1619_0, all_1619_1,
% 237.40/48.09 | all_1619_2, all_1619_3, all_1619_4, all_1619_5, all_1619_6, all_1619_7,
% 237.40/48.09 | all_1619_8 gives:
% 237.40/48.09 | (1046) c_Int_OBit1(c_Int_OPls) = all_1619_3 & c_Int_OBit0(all_1619_3) =
% 237.40/48.09 | all_1619_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 237.40/48.09 | all_1619_2) = all_1619_1 & c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 237.40/48.09 | v_p, v_z____) = all_1619_8 &
% 237.40/48.09 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1619_8) =
% 237.40/48.09 | all_1619_7 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 237.40/48.09 | v_s____) = all_1619_6 &
% 237.40/48.09 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1619_7,
% 237.40/48.09 | all_1619_6) = all_1619_5 &
% 237.40/48.09 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1619_5) = all_1619_4
% 237.40/48.09 | & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1619_4,
% 237.40/48.09 | all_1619_1) = all_1619_0 & $i(all_1619_0) & $i(all_1619_1) &
% 237.40/48.09 | $i(all_1619_2) & $i(all_1619_3) & $i(all_1619_4) & $i(all_1619_5) &
% 237.40/48.09 | $i(all_1619_6) & $i(all_1619_7) & $i(all_1619_8) & ! [v0: $i] : !
% 237.40/48.09 | [v1: $i] : ( ~ (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v0) =
% 237.40/48.09 | v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: any] : ?
% 237.40/48.09 | [v5: $i] : ? [v6: $i] : ? [v7: any] :
% 237.40/48.09 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6 &
% 237.40/48.09 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 &
% 237.40/48.09 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v1,
% 237.40/48.09 | all_1619_8) = v5 &
% 237.40/48.09 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v0, v_z____)
% 237.40/48.09 | = v2 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6,
% 237.40/48.09 | all_1619_0) = v7 &
% 237.40/48.09 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v_d____) =
% 237.40/48.09 | v4 & $i(v6) & $i(v5) & $i(v3) & $i(v2) & ( ~ (v4 = 0) | v7 =
% 237.40/48.09 | 0)))
% 237.40/48.09 |
% 237.40/48.09 | ALPHA: (1046) implies:
% 237.40/48.09 | (1047) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1619_4,
% 237.40/48.09 | all_1619_1) = all_1619_0
% 237.40/48.09 | (1048) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1619_5) = all_1619_4
% 237.40/48.09 | (1049) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1619_7,
% 237.40/48.09 | all_1619_6) = all_1619_5
% 237.40/48.09 | (1050) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.40/48.09 | all_1619_6
% 237.40/48.09 | (1051) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1619_8) =
% 237.40/48.10 | all_1619_7
% 237.40/48.10 | (1052) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = all_1619_8
% 237.40/48.10 | (1053) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1619_2) =
% 237.40/48.10 | all_1619_1
% 237.40/48.10 | (1054) c_Int_OBit0(all_1619_3) = all_1619_2
% 237.40/48.10 | (1055) c_Int_OBit1(c_Int_OPls) = all_1619_3
% 237.40/48.10 |
% 237.40/48.10 | DELTA: instantiating (108) with fresh symbols all_1622_0, all_1622_1,
% 237.40/48.10 | all_1622_2, all_1622_3, all_1622_4, all_1622_5, all_1622_6, all_1622_7,
% 237.40/48.10 | all_1622_8, all_1622_9 gives:
% 237.40/48.10 | (1056) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1622_9 &
% 237.40/48.10 | c_Int_OBit1(c_Int_OPls) = all_1622_3 & c_Int_OBit0(all_1622_3) =
% 237.40/48.10 | all_1622_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 237.40/48.10 | all_1622_2) = all_1622_1 & c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 237.40/48.10 | v_p, v_z____) = all_1622_8 &
% 237.40/48.10 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1622_8) =
% 237.40/48.10 | all_1622_7 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 237.40/48.10 | v_s____) = all_1622_6 &
% 237.40/48.10 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1622_7,
% 237.40/48.10 | all_1622_6) = all_1622_5 &
% 237.40/48.10 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1622_5) = all_1622_4
% 237.40/48.10 | & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1622_4,
% 237.40/48.10 | all_1622_1) = all_1622_0 & $i(all_1622_0) & $i(all_1622_1) &
% 237.40/48.10 | $i(all_1622_2) & $i(all_1622_3) & $i(all_1622_4) & $i(all_1622_5) &
% 237.40/48.10 | $i(all_1622_6) & $i(all_1622_7) & $i(all_1622_8) & $i(all_1622_9) &
% 237.40/48.10 | ? [v0: $i] : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 237.40/48.10 | all_1622_9, v0) = 0 & $i(v0) & ! [v1: $i] : ! [v2: $i] : !
% 237.40/48.10 | [v3: $i] : ( ~
% 237.40/48.10 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3)
% 237.40/48.10 | | ~ (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v1,
% 237.40/48.10 | v_z____) = v2) | ~
% 237.40/48.10 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0) = 0) |
% 237.40/48.10 | ~ $i(v1) | ? [v4: any] : ? [v5: $i] : ? [v6: $i] : ? [v7:
% 237.40/48.10 | $i] : ? [v8: any] : (c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 237.40/48.10 | v_p, v1) = v5 &
% 237.40/48.10 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = v7
% 237.40/48.10 | & c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v5,
% 237.40/48.10 | all_1622_8) = v6 &
% 237.40/48.10 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7,
% 237.40/48.10 | all_1622_0) = v8 &
% 237.40/48.10 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1622_9,
% 237.40/48.10 | v3) = v4 & $i(v7) & $i(v6) & $i(v5) & ( ~ (v4 = 0) | v8 =
% 237.40/48.10 | 0))))
% 237.40/48.10 |
% 237.40/48.10 | ALPHA: (1056) implies:
% 237.40/48.10 | (1057) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1622_4,
% 237.40/48.10 | all_1622_1) = all_1622_0
% 237.40/48.10 | (1058) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1622_5) = all_1622_4
% 237.40/48.10 | (1059) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1622_7,
% 237.40/48.10 | all_1622_6) = all_1622_5
% 237.40/48.10 | (1060) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.40/48.10 | all_1622_6
% 237.40/48.10 | (1061) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1622_8) =
% 237.40/48.10 | all_1622_7
% 237.40/48.10 | (1062) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = all_1622_8
% 237.40/48.10 | (1063) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1622_2) =
% 237.40/48.10 | all_1622_1
% 237.40/48.10 | (1064) c_Int_OBit0(all_1622_3) = all_1622_2
% 237.40/48.10 | (1065) c_Int_OBit1(c_Int_OPls) = all_1622_3
% 237.40/48.10 | (1066) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1622_9
% 237.40/48.10 |
% 237.40/48.10 | DELTA: instantiating (16) with fresh symbols all_1624_0, all_1624_1,
% 237.40/48.10 | all_1624_2, all_1624_3, all_1624_4, all_1624_5, all_1624_6, all_1624_7,
% 237.40/48.10 | all_1624_8, all_1624_9 gives:
% 237.40/48.10 | (1067) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1624_9 &
% 237.40/48.10 | c_Int_OBit1(c_Int_OPls) = all_1624_3 & c_Int_OBit0(all_1624_3) =
% 237.40/48.10 | all_1624_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 237.40/48.10 | all_1624_2) = all_1624_1 & c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 237.40/48.10 | v_p, v_z____) = all_1624_8 &
% 237.40/48.10 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1624_8) =
% 237.40/48.10 | all_1624_7 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 237.40/48.10 | v_s____) = all_1624_6 &
% 237.40/48.10 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1624_7,
% 237.40/48.10 | all_1624_6) = all_1624_5 &
% 237.40/48.10 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1624_5) = all_1624_4
% 237.40/48.10 | & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1624_4,
% 237.40/48.10 | all_1624_1) = all_1624_0 & $i(all_1624_0) & $i(all_1624_1) &
% 237.40/48.10 | $i(all_1624_2) & $i(all_1624_3) & $i(all_1624_4) & $i(all_1624_5) &
% 237.40/48.10 | $i(all_1624_6) & $i(all_1624_7) & $i(all_1624_8) & $i(all_1624_9) &
% 237.40/48.10 | ! [v0: $i] : ! [v1: $i] : ( ~
% 237.40/48.10 | (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v0) = v1) | ~
% 237.40/48.10 | $i(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: any] : ? [v5: any] :
% 237.40/48.10 | ? [v6: $i] : ? [v7: $i] : ? [v8: any] :
% 237.40/48.10 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = v7 &
% 237.40/48.10 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 &
% 237.40/48.10 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v1,
% 237.40/48.10 | all_1624_8) = v6 &
% 237.40/48.10 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v0, v_z____)
% 237.40/48.10 | = v2 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7,
% 237.40/48.10 | all_1624_0) = v8 &
% 237.40/48.10 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v_d____) =
% 237.40/48.10 | v5 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1624_9,
% 237.40/48.10 | v3) = v4 & $i(v7) & $i(v6) & $i(v3) & $i(v2) & ( ~ (v5 = 0) |
% 237.40/48.10 | ~ (v4 = 0) | v8 = 0)))
% 237.40/48.10 |
% 237.40/48.10 | ALPHA: (1067) implies:
% 237.40/48.10 | (1068) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1624_4,
% 237.40/48.10 | all_1624_1) = all_1624_0
% 237.40/48.10 | (1069) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1624_5) = all_1624_4
% 237.40/48.10 | (1070) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1624_7,
% 237.40/48.10 | all_1624_6) = all_1624_5
% 237.40/48.10 | (1071) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.40/48.10 | all_1624_6
% 237.40/48.10 | (1072) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1624_8) =
% 237.40/48.10 | all_1624_7
% 237.40/48.10 | (1073) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = all_1624_8
% 237.40/48.10 | (1074) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1624_2) =
% 237.40/48.10 | all_1624_1
% 237.40/48.10 | (1075) c_Int_OBit0(all_1624_3) = all_1624_2
% 237.40/48.10 | (1076) c_Int_OBit1(c_Int_OPls) = all_1624_3
% 237.40/48.10 | (1077) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1624_9
% 237.40/48.10 |
% 237.40/48.10 | DELTA: instantiating (108) with fresh symbols all_1627_0, all_1627_1,
% 237.40/48.10 | all_1627_2, all_1627_3, all_1627_4, all_1627_5, all_1627_6, all_1627_7,
% 237.40/48.10 | all_1627_8, all_1627_9 gives:
% 237.40/48.10 | (1078) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1627_9 &
% 237.40/48.10 | c_Int_OBit1(c_Int_OPls) = all_1627_3 & c_Int_OBit0(all_1627_3) =
% 237.40/48.10 | all_1627_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 237.40/48.10 | all_1627_2) = all_1627_1 & c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 237.40/48.10 | v_p, v_z____) = all_1627_8 &
% 237.40/48.10 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1627_8) =
% 237.40/48.10 | all_1627_7 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 237.40/48.10 | v_s____) = all_1627_6 &
% 237.40/48.10 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1627_7,
% 237.40/48.10 | all_1627_6) = all_1627_5 &
% 237.40/48.10 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1627_5) = all_1627_4
% 237.40/48.10 | & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1627_4,
% 237.40/48.10 | all_1627_1) = all_1627_0 & $i(all_1627_0) & $i(all_1627_1) &
% 237.40/48.10 | $i(all_1627_2) & $i(all_1627_3) & $i(all_1627_4) & $i(all_1627_5) &
% 237.40/48.10 | $i(all_1627_6) & $i(all_1627_7) & $i(all_1627_8) & $i(all_1627_9) &
% 237.40/48.10 | ? [v0: $i] : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 237.40/48.10 | all_1627_9, v0) = 0 & $i(v0) & ! [v1: $i] : ! [v2: $i] : !
% 237.40/48.10 | [v3: $i] : ( ~
% 237.40/48.10 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3)
% 237.40/48.10 | | ~ (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v1,
% 237.40/48.10 | v_z____) = v2) | ~
% 237.40/48.10 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0) = 0) |
% 237.40/48.10 | ~ $i(v1) | ? [v4: any] : ? [v5: $i] : ? [v6: $i] : ? [v7:
% 237.40/48.10 | $i] : ? [v8: any] : (c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 237.40/48.10 | v_p, v1) = v5 &
% 237.40/48.10 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = v7
% 237.40/48.10 | & c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v5,
% 237.40/48.10 | all_1627_8) = v6 &
% 237.40/48.10 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7,
% 237.40/48.10 | all_1627_0) = v8 &
% 237.40/48.10 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1627_9,
% 237.40/48.10 | v3) = v4 & $i(v7) & $i(v6) & $i(v5) & ( ~ (v4 = 0) | v8 =
% 237.40/48.10 | 0))))
% 237.40/48.10 |
% 237.40/48.10 | ALPHA: (1078) implies:
% 237.40/48.10 | (1079) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1627_4,
% 237.40/48.10 | all_1627_1) = all_1627_0
% 237.40/48.10 | (1080) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1627_5) = all_1627_4
% 237.40/48.10 | (1081) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1627_7,
% 237.40/48.10 | all_1627_6) = all_1627_5
% 237.40/48.10 | (1082) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.40/48.10 | all_1627_6
% 237.40/48.10 | (1083) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1627_8) =
% 237.40/48.10 | all_1627_7
% 237.40/48.10 | (1084) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = all_1627_8
% 237.40/48.10 | (1085) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1627_2) =
% 237.40/48.10 | all_1627_1
% 237.40/48.10 | (1086) c_Int_OBit0(all_1627_3) = all_1627_2
% 237.40/48.10 | (1087) c_Int_OBit1(c_Int_OPls) = all_1627_3
% 237.40/48.10 | (1088) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1627_9
% 237.40/48.10 |
% 237.40/48.10 | DELTA: instantiating (6) with fresh symbols all_1629_0, all_1629_1,
% 237.40/48.10 | all_1629_2, all_1629_3, all_1629_4, all_1629_5, all_1629_6, all_1629_7,
% 237.40/48.10 | all_1629_8, all_1629_9, all_1629_10, all_1629_11, all_1629_12,
% 237.40/48.10 | all_1629_13, all_1629_14, all_1629_15, all_1629_16, all_1629_17 gives:
% 237.40/48.10 | (1089) c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_1629_6) =
% 237.40/48.10 | all_1629_2 & c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,
% 237.40/48.10 | all_1629_9) = all_1629_1 &
% 237.40/48.10 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1629_4 &
% 237.40/48.10 | c_Int_OBit1(c_Int_OPls) = all_1629_17 & c_Int_OBit0(all_1629_17) =
% 237.40/48.10 | all_1629_16 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 237.40/48.10 | all_1629_16) = all_1629_15 &
% 237.40/48.10 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = all_1629_14
% 237.40/48.10 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1629_14)
% 237.40/48.10 | = all_1629_13 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 237.40/48.10 | v_s____) = all_1629_12 &
% 237.40/48.10 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1629_13,
% 237.40/48.10 | all_1629_12) = all_1629_11 &
% 237.40/48.10 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1629_11) =
% 237.40/48.10 | all_1629_10 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 237.40/48.10 | all_1629_15, all_1629_10) = all_1629_9 &
% 237.40/48.10 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) =
% 237.40/48.10 | all_1629_8 & c_Nat_OSuc(all_1629_8) = all_1629_7 &
% 237.40/48.10 | c_RealDef_Oreal(tc_Nat_Onat, all_1629_7) = all_1629_6 &
% 237.40/48.10 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1629_2,
% 237.40/48.10 | all_1629_1) = all_1629_0 &
% 237.40/48.10 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1629_4,
% 237.40/48.10 | all_1629_9) = all_1629_3 &
% 237.40/48.10 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1629_9,
% 237.40/48.10 | all_1629_6) = all_1629_5 & $i(all_1629_1) & $i(all_1629_2) &
% 237.40/48.10 | $i(all_1629_4) & $i(all_1629_6) & $i(all_1629_7) & $i(all_1629_8) &
% 237.40/48.10 | $i(all_1629_9) & $i(all_1629_10) & $i(all_1629_11) & $i(all_1629_12)
% 237.40/48.10 | & $i(all_1629_13) & $i(all_1629_14) & $i(all_1629_15) &
% 237.40/48.10 | $i(all_1629_16) & $i(all_1629_17) & ( ~ (all_1629_3 = 0) | ~
% 237.40/48.10 | (all_1629_5 = 0) | all_1629_0 = 0)
% 237.40/48.10 |
% 237.40/48.10 | ALPHA: (1089) implies:
% 237.40/48.10 | (1090) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1629_9,
% 237.40/48.10 | all_1629_6) = all_1629_5
% 237.40/48.10 | (1091) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1629_4,
% 237.40/48.10 | all_1629_9) = all_1629_3
% 237.40/48.10 | (1092) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1629_2,
% 237.40/48.10 | all_1629_1) = all_1629_0
% 237.40/48.10 | (1093) c_RealDef_Oreal(tc_Nat_Onat, all_1629_7) = all_1629_6
% 237.40/48.10 | (1094) c_Nat_OSuc(all_1629_8) = all_1629_7
% 237.40/48.10 | (1095) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_N1____, v_N2____) =
% 237.40/48.10 | all_1629_8
% 237.40/48.10 | (1096) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1629_15,
% 237.40/48.10 | all_1629_10) = all_1629_9
% 237.40/48.10 | (1097) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1629_11) =
% 237.40/48.10 | all_1629_10
% 237.40/48.10 | (1098) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1629_13,
% 237.40/48.10 | all_1629_12) = all_1629_11
% 237.40/48.10 | (1099) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 237.40/48.10 | all_1629_12
% 237.40/48.10 | (1100) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1629_14) =
% 237.40/48.10 | all_1629_13
% 237.40/48.10 | (1101) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, v_z____) = all_1629_14
% 237.40/48.10 | (1102) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1629_16) =
% 237.40/48.10 | all_1629_15
% 237.40/48.10 | (1103) c_Int_OBit0(all_1629_17) = all_1629_16
% 237.40/48.10 | (1104) c_Int_OBit1(c_Int_OPls) = all_1629_17
% 237.40/48.10 | (1105) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1629_4
% 237.40/48.10 | (1106) c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_1629_9) =
% 237.40/48.10 | all_1629_1
% 237.40/48.10 | (1107) c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_1629_6) =
% 237.40/48.10 | all_1629_2
% 237.40/48.10 | (1108) ~ (all_1629_3 = 0) | ~ (all_1629_5 = 0) | all_1629_0 = 0
% 237.40/48.10 |
% 237.40/48.10 | DELTA: instantiating (195) with fresh symbol all_1631_0 gives:
% 237.40/48.11 | (1109) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1631_0 &
% 237.40/48.11 | $i(all_1631_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.40/48.11 | $i] : ! [v4: $i] : ( ~ (hAPP(v2, v3) = v4) | ~
% 237.40/48.11 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v3) | ~
% 237.40/48.11 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ?
% 237.40/48.11 | [v7: $i] : ? [v8: any] : (hBOOL(v7) = v8 & hBOOL(v4) = v5 &
% 237.40/48.11 | hAPP(v2, all_1631_0) = v7 &
% 237.40/48.11 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) = v6 & $i(v7)
% 237.40/48.11 | & ( ~ (v5 = 0) | ( ! [v9: $i] : ( ~
% 237.40/48.11 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v9) = v1) |
% 237.40/48.11 | ~ $i(v9) | ? [v10: $i] : (hBOOL(v10) = 0 & hAPP(v2, v9) =
% 237.40/48.11 | v10 & $i(v10))) & ( ~ (v6 = 0) | v8 = 0))))) & ! [v0:
% 237.40/48.11 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 237.40/48.11 | (hAPP(v2, v3) = v4) | ~
% 237.40/48.11 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v3) | ~
% 237.40/48.11 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: $i] : ?
% 237.40/48.11 | [v7: any] : ? [v8: any] : (hBOOL(v6) = v7 & hBOOL(v4) = v8 &
% 237.40/48.11 | hAPP(v2, all_1631_0) = v6 &
% 237.40/48.11 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) = v5 & $i(v6)
% 237.40/48.11 | & (v8 = 0 | (v5 = 0 & ~ (v7 = 0)))) | ? [v5: $i] : ? [v6: $i]
% 237.40/48.11 | : ? [v7: int] : ( ~ (v7 = 0) & hBOOL(v6) = v7 & hAPP(v2, v5) = v6
% 237.40/48.11 | & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v5) = v1 & $i(v6)
% 237.40/48.11 | & $i(v5)))
% 237.40/48.11 |
% 237.40/48.11 | ALPHA: (1109) implies:
% 237.40/48.11 | (1110) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1631_0
% 237.40/48.11 |
% 237.40/48.11 | DELTA: instantiating (195) with fresh symbol all_1634_0 gives:
% 237.40/48.11 | (1111) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1634_0 &
% 237.40/48.11 | $i(all_1634_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 237.40/48.11 | $i] : ! [v4: $i] : ( ~ (hAPP(v2, v3) = v4) | ~
% 237.40/48.11 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v3) | ~
% 237.40/48.11 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ?
% 237.40/48.11 | [v7: $i] : ? [v8: any] : (hBOOL(v7) = v8 & hBOOL(v4) = v5 &
% 237.40/48.11 | hAPP(v2, all_1634_0) = v7 &
% 237.40/48.11 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) = v6 & $i(v7)
% 237.40/48.11 | & ( ~ (v5 = 0) | ( ! [v9: $i] : ( ~
% 237.40/48.11 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v9) = v1) |
% 237.40/48.11 | ~ $i(v9) | ? [v10: $i] : (hBOOL(v10) = 0 & hAPP(v2, v9) =
% 237.40/48.11 | v10 & $i(v10))) & ( ~ (v6 = 0) | v8 = 0))))) & ! [v0:
% 237.40/48.11 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 237.40/48.11 | (hAPP(v2, v3) = v4) | ~
% 237.40/48.11 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v3) | ~
% 237.40/48.11 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: $i] : ?
% 237.40/48.11 | [v7: any] : ? [v8: any] : (hBOOL(v6) = v7 & hBOOL(v4) = v8 &
% 237.40/48.11 | hAPP(v2, all_1634_0) = v6 &
% 237.40/48.11 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) = v5 & $i(v6)
% 237.40/48.11 | & (v8 = 0 | (v5 = 0 & ~ (v7 = 0)))) | ? [v5: $i] : ? [v6: $i]
% 237.40/48.11 | : ? [v7: int] : ( ~ (v7 = 0) & hBOOL(v6) = v7 & hAPP(v2, v5) = v6
% 237.40/48.11 | & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v5) = v1 & $i(v6)
% 237.40/48.11 | & $i(v5)))
% 237.40/48.11 |
% 237.40/48.11 | ALPHA: (1111) implies:
% 237.40/48.11 | (1112) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1634_0
% 237.40/48.11 |
% 237.40/48.11 | DELTA: instantiating (102) with fresh symbol all_1637_0 gives:
% 237.40/48.11 | (1113) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1637_0 &
% 237.40/48.11 | $i(all_1637_0) & ? [v0: $i] : ! [v1: $i] : ( ~
% 237.40/48.11 | (class_RealVector_Oreal__normed__vector(v1) = 0) | ~ $i(v1) | ~
% 237.40/48.11 | $i(v0) | (( ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 237.40/48.11 | (c_Nat_OSuc(v2) = v3 & c_RealDef_Oreal(tc_Nat_Onat, v3) = v4 &
% 237.40/48.11 | $i(v4) & $i(v3) & $i(v2) & ! [v5: $i] : ! [v6: $i] : !
% 237.40/48.11 | [v7: $i] : ! [v8: int] : (v8 = 0 | ~
% 237.40/48.11 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7,
% 237.40/48.11 | v4) = v8) | ~ (hAPP(v0, v5) = v6) | ~
% 237.40/48.11 | (c_RealVector_Onorm__class_Onorm(v1, v6) = v7) | ~
% 237.40/48.11 | $i(v5))) | ! [v2: $i] : ( ~
% 237.40/48.11 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1637_0,
% 237.40/48.11 | v2) = 0) | ~ $i(v2) | ? [v3: $i] : ? [v4: $i] : ?
% 237.40/48.11 | [v5: $i] : ? [v6: int] : ( ~ (v6 = 0) &
% 237.40/48.11 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5,
% 237.40/48.11 | v2) = v6 & hAPP(v0, v3) = v4 &
% 237.40/48.11 | c_RealVector_Onorm__class_Onorm(v1, v4) = v5 & $i(v5) &
% 237.40/48.11 | $i(v4) & $i(v3)))) & ( ? [v2: $i] :
% 237.40/48.11 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1637_0,
% 237.40/48.11 | v2) = 0 & $i(v2) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 237.40/48.11 | : ! [v6: int] : (v6 = 0 | ~
% 237.40/48.11 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5,
% 237.40/48.11 | v2) = v6) | ~ (hAPP(v0, v3) = v4) | ~
% 237.40/48.11 | (c_RealVector_Onorm__class_Onorm(v1, v4) = v5) | ~
% 237.40/48.11 | $i(v3))) | ! [v2: $i] : ! [v3: $i] : ( ~ (c_Nat_OSuc(v2)
% 237.40/48.11 | = v3) | ~ $i(v2) | ? [v4: $i] :
% 237.40/48.11 | (c_RealDef_Oreal(tc_Nat_Onat, v3) = v4 & $i(v4) & ? [v5:
% 237.40/48.11 | $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: int] : ( ~ (v8
% 237.40/48.11 | = 0) &
% 237.40/48.11 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7,
% 237.40/48.11 | v4) = v8 & hAPP(v0, v5) = v6 &
% 237.40/48.11 | c_RealVector_Onorm__class_Onorm(v1, v6) = v7 & $i(v7) &
% 237.40/48.11 | $i(v6) & $i(v5)))))))
% 237.40/48.11 |
% 237.40/48.11 | ALPHA: (1113) implies:
% 237.40/48.11 | (1114) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1637_0
% 237.40/48.11 |
% 237.40/48.11 | DELTA: instantiating (101) with fresh symbol all_1639_0 gives:
% 237.40/48.11 | (1115) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1639_0 &
% 237.40/48.11 | $i(all_1639_0) & ? [v0: $i] : ! [v1: $i] : ( ~
% 237.40/48.11 | (class_RealVector_Oreal__normed__vector(v1) = 0) | ~ $i(v1) | ~
% 237.40/48.11 | $i(v0) | (( ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 237.40/48.11 | (c_Nat_OSuc(v2) = v3 & c_RealDef_Oreal(tc_Nat_Onat, v3) = v4 &
% 237.40/48.11 | $i(v4) & $i(v3) & $i(v2) & ! [v5: $i] : ! [v6: $i] : !
% 237.40/48.11 | [v7: $i] : ! [v8: int] : (v8 = 0 | ~ (hAPP(v0, v5) = v6) |
% 237.40/48.11 | ~ (c_RealVector_Onorm__class_Onorm(v1, v6) = v7) | ~
% 237.40/48.11 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v4) =
% 237.40/48.11 | v8) | ~ $i(v5))) | ! [v2: $i] : ( ~
% 237.40/48.11 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1639_0,
% 237.40/48.11 | v2) = 0) | ~ $i(v2) | ? [v3: $i] : ? [v4: $i] : ?
% 237.40/48.11 | [v5: $i] : ? [v6: int] : ( ~ (v6 = 0) &
% 237.40/48.11 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5,
% 237.40/48.11 | v2) = v6 & hAPP(v0, v3) = v4 &
% 237.40/48.11 | c_RealVector_Onorm__class_Onorm(v1, v4) = v5 & $i(v5) &
% 237.40/48.11 | $i(v4) & $i(v3)))) & ( ? [v2: $i] :
% 237.40/48.11 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1639_0,
% 237.40/48.11 | v2) = 0 & $i(v2) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 237.40/48.11 | : ! [v6: int] : (v6 = 0 | ~
% 237.40/48.11 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5,
% 237.40/48.11 | v2) = v6) | ~ (hAPP(v0, v3) = v4) | ~
% 237.40/48.11 | (c_RealVector_Onorm__class_Onorm(v1, v4) = v5) | ~
% 237.40/48.11 | $i(v3))) | ! [v2: $i] : ! [v3: $i] : ( ~ (c_Nat_OSuc(v2)
% 237.40/48.11 | = v3) | ~ $i(v2) | ? [v4: $i] :
% 237.40/48.11 | (c_RealDef_Oreal(tc_Nat_Onat, v3) = v4 & $i(v4) & ? [v5:
% 237.40/48.11 | $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: int] : ( ~ (v8
% 237.40/48.11 | = 0) & hAPP(v0, v5) = v6 &
% 237.40/48.11 | c_RealVector_Onorm__class_Onorm(v1, v6) = v7 &
% 237.40/48.11 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v4)
% 237.40/48.11 | = v8 & $i(v7) & $i(v6) & $i(v5)))))))
% 237.40/48.11 |
% 237.40/48.11 | ALPHA: (1115) implies:
% 237.40/48.11 | (1116) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1639_0
% 237.40/48.11 |
% 237.40/48.11 | DELTA: instantiating (924) with fresh symbols all_1644_0, all_1644_1 gives:
% 237.40/48.11 | (1117) c_RealDef_Oreal(tc_Nat_Onat, all_1644_1) = all_1644_0 &
% 237.40/48.11 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1580_0,
% 237.40/48.11 | all_1644_0) = 0 & $i(all_1644_0) & $i(all_1644_1)
% 237.40/48.11 |
% 237.40/48.11 | ALPHA: (1117) implies:
% 237.40/48.11 | (1118) $i(all_1644_1)
% 237.40/48.11 | (1119) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1580_0,
% 237.40/48.11 | all_1644_0) = 0
% 237.40/48.11 | (1120) c_RealDef_Oreal(tc_Nat_Onat, all_1644_1) = all_1644_0
% 237.40/48.11 |
% 237.40/48.11 | DELTA: instantiating (935) with fresh symbols all_1646_0, all_1646_1 gives:
% 237.40/48.11 | (1121) c_RealDef_Oreal(tc_Nat_Onat, all_1646_1) = all_1646_0 &
% 237.40/48.11 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1582_0,
% 237.40/48.11 | all_1646_0) = 0 & $i(all_1646_0) & $i(all_1646_1)
% 237.40/48.11 |
% 237.40/48.11 | ALPHA: (1121) implies:
% 237.40/48.11 | (1122) $i(all_1646_1)
% 237.40/48.11 | (1123) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1582_0,
% 237.40/48.11 | all_1646_0) = 0
% 237.40/48.11 | (1124) c_RealDef_Oreal(tc_Nat_Onat, all_1646_1) = all_1646_0
% 237.40/48.11 |
% 237.40/48.11 | GROUND_INST: instantiating (276) with all_1319_4, all_1584_10, v_N2____,
% 237.40/48.11 | v_N1____, tc_Nat_Onat, simplifying with (660), (943) gives:
% 237.40/48.11 | (1125) all_1584_10 = all_1319_4
% 237.40/48.11 |
% 237.40/48.11 | GROUND_INST: instantiating (276) with all_1151_2, all_1584_10, v_N2____,
% 237.40/48.11 | v_N1____, tc_Nat_Onat, simplifying with (506), (943) gives:
% 237.40/48.11 | (1126) all_1584_10 = all_1151_2
% 237.40/48.11 |
% 237.40/48.11 | GROUND_INST: instantiating (276) with all_1586_10, all_1602_2, v_N2____,
% 237.40/48.11 | v_N1____, tc_Nat_Onat, simplifying with (956), (980) gives:
% 237.40/48.11 | (1127) all_1602_2 = all_1586_10
% 237.40/48.11 |
% 237.40/48.11 | GROUND_INST: instantiating (276) with all_1602_2, all_1604_9, v_N2____,
% 237.40/48.11 | v_N1____, tc_Nat_Onat, simplifying with (980), (997) gives:
% 237.40/48.11 | (1128) all_1604_9 = all_1602_2
% 237.40/48.11 |
% 237.40/48.11 | GROUND_INST: instantiating (276) with all_1604_9, all_1609_13, v_N2____,
% 237.40/48.11 | v_N1____, tc_Nat_Onat, simplifying with (997), (1011) gives:
% 237.40/48.11 | (1129) all_1609_13 = all_1604_9
% 237.40/48.11 |
% 237.40/48.11 | GROUND_INST: instantiating (276) with all_1609_13, all_1617_14, v_N2____,
% 237.40/48.11 | v_N1____, tc_Nat_Onat, simplifying with (1011), (1031) gives:
% 237.40/48.11 | (1130) all_1617_14 = all_1609_13
% 237.40/48.11 |
% 237.40/48.11 | GROUND_INST: instantiating (276) with all_1007_1, all_1617_14, v_N2____,
% 237.40/48.11 | v_N1____, tc_Nat_Onat, simplifying with (387), (1031) gives:
% 237.40/48.11 | (1131) all_1617_14 = all_1007_1
% 237.40/48.11 |
% 237.40/48.11 | GROUND_INST: instantiating (276) with all_1586_10, all_1629_8, v_N2____,
% 237.40/48.11 | v_N1____, tc_Nat_Onat, simplifying with (956), (1095) gives:
% 237.40/48.11 | (1132) all_1629_8 = all_1586_10
% 237.40/48.11 |
% 237.40/48.11 | GROUND_INST: instantiating (276) with all_1584_10, all_1629_8, v_N2____,
% 237.40/48.11 | v_N1____, tc_Nat_Onat, simplifying with (943), (1095) gives:
% 237.40/48.11 | (1133) all_1629_8 = all_1584_10
% 237.40/48.11 |
% 237.40/48.12 | GROUND_INST: instantiating (276) with all_1530_7, all_1629_8, v_N2____,
% 237.40/48.12 | v_N1____, tc_Nat_Onat, simplifying with (845), (1095) gives:
% 237.40/48.12 | (1134) all_1629_8 = all_1530_7
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (270) with all_1268_0, all_1293_2, v_s____,
% 237.40/48.12 | tc_RealDef_Oreal, simplifying with (608), (640) gives:
% 237.40/48.12 | (1135) all_1293_2 = all_1268_0
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (270) with all_1293_2, all_1319_5, v_s____,
% 237.40/48.12 | tc_RealDef_Oreal, simplifying with (640), (661) gives:
% 237.40/48.12 | (1136) all_1319_5 = all_1293_2
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (270) with all_1319_5, all_1327_1, v_s____,
% 237.40/48.12 | tc_RealDef_Oreal, simplifying with (661), (669) gives:
% 237.40/48.12 | (1137) all_1327_1 = all_1319_5
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (270) with all_1327_1, all_1538_1, v_s____,
% 237.40/48.12 | tc_RealDef_Oreal, simplifying with (669), (856) gives:
% 237.40/48.12 | (1138) all_1538_1 = all_1327_1
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (270) with all_1538_1, all_1546_1, v_s____,
% 237.40/48.12 | tc_RealDef_Oreal, simplifying with (856), (863) gives:
% 237.40/48.12 | (1139) all_1546_1 = all_1538_1
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (270) with all_1546_1, all_1552_6, v_s____,
% 237.40/48.12 | tc_RealDef_Oreal, simplifying with (863), (876) gives:
% 237.40/48.12 | (1140) all_1552_6 = all_1546_1
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (270) with all_1552_6, all_1560_1, v_s____,
% 237.40/48.12 | tc_RealDef_Oreal, simplifying with (876), (889) gives:
% 237.40/48.12 | (1141) all_1560_1 = all_1552_6
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (270) with all_1560_1, all_1563_4, v_s____,
% 237.40/48.12 | tc_RealDef_Oreal, simplifying with (889), (897) gives:
% 237.40/48.12 | (1142) all_1563_4 = all_1560_1
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (270) with all_1563_4, all_1580_3, v_s____,
% 237.40/48.12 | tc_RealDef_Oreal, simplifying with (897), (918) gives:
% 237.40/48.12 | (1143) all_1580_3 = all_1563_4
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (270) with all_1580_3, all_1582_3, v_s____,
% 237.40/48.12 | tc_RealDef_Oreal, simplifying with (918), (929) gives:
% 237.40/48.12 | (1144) all_1582_3 = all_1580_3
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (270) with all_1582_3, all_1584_5, v_s____,
% 237.40/48.12 | tc_RealDef_Oreal, simplifying with (929), (945) gives:
% 237.40/48.12 | (1145) all_1584_5 = all_1582_3
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (270) with all_1584_5, all_1586_5, v_s____,
% 237.40/48.12 | tc_RealDef_Oreal, simplifying with (945), (958) gives:
% 237.40/48.12 | (1146) all_1586_5 = all_1584_5
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (270) with all_1586_5, all_1597_0, v_s____,
% 237.40/48.12 | tc_RealDef_Oreal, simplifying with (958), (973) gives:
% 237.40/48.12 | (1147) all_1597_0 = all_1586_5
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (270) with all_1597_0, all_1600_1, v_s____,
% 237.40/48.12 | tc_RealDef_Oreal, simplifying with (973), (975) gives:
% 237.40/48.12 | (1148) all_1600_1 = all_1597_0
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (270) with all_1600_1, all_1602_6, v_s____,
% 237.40/48.12 | tc_RealDef_Oreal, simplifying with (975), (984) gives:
% 237.40/48.12 | (1149) all_1602_6 = all_1600_1
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (270) with all_1602_6, all_1604_11, v_s____,
% 237.40/48.12 | tc_RealDef_Oreal, simplifying with (984), (1000) gives:
% 237.40/48.12 | (1150) all_1604_11 = all_1602_6
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (270) with all_1604_11, all_1609_7, v_s____,
% 237.40/48.12 | tc_RealDef_Oreal, simplifying with (1000), (1016) gives:
% 237.40/48.12 | (1151) all_1609_7 = all_1604_11
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (270) with all_1609_7, all_1614_0, v_s____,
% 237.40/48.12 | tc_RealDef_Oreal, simplifying with (1016), (1026) gives:
% 237.40/48.12 | (1152) all_1614_0 = all_1609_7
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (270) with all_1614_0, all_1617_6, v_s____,
% 237.40/48.12 | tc_RealDef_Oreal, simplifying with (1026), (1036) gives:
% 237.40/48.12 | (1153) all_1617_6 = all_1614_0
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (270) with all_1617_6, all_1619_6, v_s____,
% 237.40/48.12 | tc_RealDef_Oreal, simplifying with (1036), (1050) gives:
% 237.40/48.12 | (1154) all_1619_6 = all_1617_6
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (270) with all_1619_6, all_1622_6, v_s____,
% 237.40/48.12 | tc_RealDef_Oreal, simplifying with (1050), (1060) gives:
% 237.40/48.12 | (1155) all_1622_6 = all_1619_6
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (270) with all_1622_6, all_1624_6, v_s____,
% 237.40/48.12 | tc_RealDef_Oreal, simplifying with (1060), (1071) gives:
% 237.40/48.12 | (1156) all_1624_6 = all_1622_6
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (270) with all_1624_6, all_1627_6, v_s____,
% 237.40/48.12 | tc_RealDef_Oreal, simplifying with (1071), (1082) gives:
% 237.40/48.12 | (1157) all_1627_6 = all_1624_6
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (270) with all_1627_6, all_1629_12, v_s____,
% 237.40/48.12 | tc_RealDef_Oreal, simplifying with (1082), (1099) gives:
% 237.40/48.12 | (1158) all_1629_12 = all_1627_6
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (270) with all_1139_0, all_1629_12, v_s____,
% 237.40/48.12 | tc_RealDef_Oreal, simplifying with (498), (1099) gives:
% 237.40/48.12 | (1159) all_1629_12 = all_1139_0
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (279) with all_1552_8, all_1580_5, v_z____, v_p,
% 237.40/48.12 | tc_Complex_Ocomplex, simplifying with (878), (920) gives:
% 237.40/48.12 | (1160) all_1580_5 = all_1552_8
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (279) with all_1293_4, all_1580_5, v_z____, v_p,
% 237.40/48.12 | tc_Complex_Ocomplex, simplifying with (642), (920) gives:
% 237.40/48.12 | (1161) all_1580_5 = all_1293_4
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (279) with all_1580_5, all_1582_5, v_z____, v_p,
% 237.40/48.12 | tc_Complex_Ocomplex, simplifying with (920), (931) gives:
% 237.40/48.12 | (1162) all_1582_5 = all_1580_5
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (279) with all_1582_5, all_1602_8, v_z____, v_p,
% 237.40/48.12 | tc_Complex_Ocomplex, simplifying with (931), (986) gives:
% 237.40/48.12 | (1163) all_1602_8 = all_1582_5
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (279) with all_1602_8, all_1609_9, v_z____, v_p,
% 237.40/48.12 | tc_Complex_Ocomplex, simplifying with (986), (1018) gives:
% 237.40/48.12 | (1164) all_1609_9 = all_1602_8
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (279) with all_1609_9, all_1617_10, v_z____, v_p,
% 237.40/48.12 | tc_Complex_Ocomplex, simplifying with (1018), (1039) gives:
% 237.40/48.12 | (1165) all_1617_10 = all_1609_9
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (279) with all_1617_10, all_1619_8, v_z____, v_p,
% 237.40/48.12 | tc_Complex_Ocomplex, simplifying with (1039), (1052) gives:
% 237.40/48.12 | (1166) all_1619_8 = all_1617_10
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (279) with all_1619_8, all_1622_8, v_z____, v_p,
% 237.40/48.12 | tc_Complex_Ocomplex, simplifying with (1052), (1062) gives:
% 237.40/48.12 | (1167) all_1622_8 = all_1619_8
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (279) with all_1622_8, all_1624_8, v_z____, v_p,
% 237.40/48.12 | tc_Complex_Ocomplex, simplifying with (1062), (1073) gives:
% 237.40/48.12 | (1168) all_1624_8 = all_1622_8
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (279) with all_1624_8, all_1627_8, v_z____, v_p,
% 237.40/48.12 | tc_Complex_Ocomplex, simplifying with (1073), (1084) gives:
% 237.40/48.12 | (1169) all_1627_8 = all_1624_8
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (279) with all_1627_8, all_1629_14, v_z____, v_p,
% 237.40/48.12 | tc_Complex_Ocomplex, simplifying with (1084), (1101) gives:
% 237.40/48.12 | (1170) all_1629_14 = all_1627_8
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (279) with all_1563_6, all_1629_14, v_z____, v_p,
% 237.40/48.12 | tc_Complex_Ocomplex, simplifying with (899), (1101) gives:
% 237.40/48.12 | (1171) all_1629_14 = all_1563_6
% 237.40/48.12 |
% 237.40/48.12 | GROUND_INST: instantiating (259) with all_990_1, all_1014_0, c_Int_OPls,
% 237.40/48.12 | simplifying with (371), (394) gives:
% 237.40/48.12 | (1172) all_1014_0 = all_990_1
% 237.40/48.12 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1014_0, all_1072_2, c_Int_OPls,
% 237.40/48.13 | simplifying with (394), (433) gives:
% 237.40/48.13 | (1173) all_1072_2 = all_1014_0
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1072_2, all_1089_2, c_Int_OPls,
% 237.40/48.13 | simplifying with (433), (450) gives:
% 237.40/48.13 | (1174) all_1089_2 = all_1072_2
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1096_2, all_1098_0, c_Int_OPls,
% 237.40/48.13 | simplifying with (463), (466) gives:
% 237.40/48.13 | (1175) all_1098_0 = all_1096_2
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1096_2, all_1136_0, c_Int_OPls,
% 237.40/48.13 | simplifying with (463), (496) gives:
% 237.40/48.13 | (1176) all_1136_0 = all_1096_2
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1089_2, all_1136_0, c_Int_OPls,
% 237.40/48.13 | simplifying with (450), (496) gives:
% 237.40/48.13 | (1177) all_1136_0 = all_1089_2
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1165_2, all_1168_2, c_Int_OPls,
% 237.40/48.13 | simplifying with (520), (524) gives:
% 237.40/48.13 | (1178) all_1168_2 = all_1165_2
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1168_2, all_1171_0, c_Int_OPls,
% 237.40/48.13 | simplifying with (524), (526) gives:
% 237.40/48.13 | (1179) all_1171_0 = all_1168_2
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1171_0, all_1216_0, c_Int_OPls,
% 237.40/48.13 | simplifying with (526), (560) gives:
% 237.40/48.13 | (1180) all_1216_0 = all_1171_0
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1256_2, all_1259_2, c_Int_OPls,
% 237.40/48.13 | simplifying with (598), (601) gives:
% 237.40/48.13 | (1181) all_1259_2 = all_1256_2
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1216_0, all_1276_1, c_Int_OPls,
% 237.40/48.13 | simplifying with (560), (623) gives:
% 237.40/48.13 | (1182) all_1276_1 = all_1216_0
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1276_1, all_1279_1, c_Int_OPls,
% 237.40/48.13 | simplifying with (623), (626) gives:
% 237.40/48.13 | (1183) all_1279_1 = all_1276_1
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1239_4, all_1288_5, c_Int_OPls,
% 237.40/48.13 | simplifying with (583), (634) gives:
% 237.40/48.13 | (1184) all_1288_5 = all_1239_4
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1288_5, all_1313_1, c_Int_OPls,
% 237.40/48.13 | simplifying with (634), (656) gives:
% 237.40/48.13 | (1185) all_1313_1 = all_1288_5
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1256_2, all_1336_2, c_Int_OPls,
% 237.40/48.13 | simplifying with (598), (681) gives:
% 237.40/48.13 | (1186) all_1336_2 = all_1256_2
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1239_4, all_1336_2, c_Int_OPls,
% 237.40/48.13 | simplifying with (583), (681) gives:
% 237.40/48.13 | (1187) all_1336_2 = all_1239_4
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1279_1, all_1360_4, c_Int_OPls,
% 237.40/48.13 | simplifying with (626), (699) gives:
% 237.40/48.13 | (1188) all_1360_4 = all_1279_1
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1360_4, all_1363_2, c_Int_OPls,
% 237.40/48.13 | simplifying with (699), (704) gives:
% 237.40/48.13 | (1189) all_1363_2 = all_1360_4
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1363_2, all_1378_0, c_Int_OPls,
% 237.40/48.13 | simplifying with (704), (714) gives:
% 237.40/48.13 | (1190) all_1378_0 = all_1363_2
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1165_2, all_1381_2, c_Int_OPls,
% 237.40/48.13 | simplifying with (520), (718) gives:
% 237.40/48.13 | (1191) all_1381_2 = all_1165_2
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1107_1, all_1381_2, c_Int_OPls,
% 237.40/48.13 | simplifying with (474), (718) gives:
% 237.40/48.13 | (1192) all_1381_2 = all_1107_1
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1098_0, all_1381_2, c_Int_OPls,
% 237.40/48.13 | simplifying with (466), (718) gives:
% 237.40/48.13 | (1193) all_1381_2 = all_1098_0
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1378_0, all_1387_0, c_Int_OPls,
% 237.40/48.13 | simplifying with (714), (722) gives:
% 237.40/48.13 | (1194) all_1387_0 = all_1378_0
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1339_2, all_1408_2, c_Int_OPls,
% 237.40/48.13 | simplifying with (683), (739) gives:
% 237.40/48.13 | (1195) all_1408_2 = all_1339_2
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1259_2, all_1408_2, c_Int_OPls,
% 237.40/48.13 | simplifying with (601), (739) gives:
% 237.40/48.13 | (1196) all_1408_2 = all_1259_2
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1225_0, all_1408_2, c_Int_OPls,
% 237.40/48.13 | simplifying with (567), (739) gives:
% 237.40/48.13 | (1197) all_1408_2 = all_1225_0
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1408_2, all_1420_0, c_Int_OPls,
% 237.40/48.13 | simplifying with (739), (749) gives:
% 237.40/48.13 | (1198) all_1420_0 = all_1408_2
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1136_0, all_1453_0, c_Int_OPls,
% 237.40/48.13 | simplifying with (496), (779) gives:
% 237.40/48.13 | (1199) all_1453_0 = all_1136_0
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1109_0, all_1453_0, c_Int_OPls,
% 237.40/48.13 | simplifying with (476), (779) gives:
% 237.40/48.13 | (1200) all_1453_0 = all_1109_0
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1420_0, all_1456_1, c_Int_OPls,
% 237.40/48.13 | simplifying with (749), (781) gives:
% 237.40/48.13 | (1201) all_1456_1 = all_1420_0
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1456_1, all_1465_0, c_Int_OPls,
% 237.40/48.13 | simplifying with (781), (788) gives:
% 237.40/48.13 | (1202) all_1465_0 = all_1456_1
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1438_3, all_1465_0, c_Int_OPls,
% 237.40/48.13 | simplifying with (767), (788) gives:
% 237.40/48.13 | (1203) all_1465_0 = all_1438_3
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1387_0, all_1468_1, c_Int_OPls,
% 237.40/48.13 | simplifying with (722), (790) gives:
% 237.40/48.13 | (1204) all_1468_1 = all_1387_0
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1471_0, all_1474_0, c_Int_OPls,
% 237.40/48.13 | simplifying with (792), (794) gives:
% 237.40/48.13 | (1205) all_1474_0 = all_1471_0
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1471_0, all_1477_4, c_Int_OPls,
% 237.40/48.13 | simplifying with (792), (797) gives:
% 237.40/48.13 | (1206) all_1477_4 = all_1471_0
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1459_1, all_1477_4, c_Int_OPls,
% 237.40/48.13 | simplifying with (784), (797) gives:
% 237.40/48.13 | (1207) all_1477_4 = all_1459_1
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1456_1, all_1477_4, c_Int_OPls,
% 237.40/48.13 | simplifying with (781), (797) gives:
% 237.40/48.13 | (1208) all_1477_4 = all_1456_1
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1474_0, all_1521_1, c_Int_OPls,
% 237.40/48.13 | simplifying with (794), (832) gives:
% 237.40/48.13 | (1209) all_1521_1 = all_1474_0
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1521_1, all_1524_2, c_Int_OPls,
% 237.40/48.13 | simplifying with (832), (836) gives:
% 237.40/48.13 | (1210) all_1524_2 = all_1521_1
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1524_2, all_1552_3, c_Int_OPls,
% 237.40/48.13 | simplifying with (836), (881) gives:
% 237.40/48.13 | (1211) all_1552_3 = all_1524_2
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1552_3, all_1563_9, c_Int_OPls,
% 237.40/48.13 | simplifying with (881), (902) gives:
% 237.40/48.13 | (1212) all_1563_9 = all_1552_3
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1381_2, all_1580_8, c_Int_OPls,
% 237.40/48.13 | simplifying with (718), (923) gives:
% 237.40/48.13 | (1213) all_1580_8 = all_1381_2
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1177_2, all_1580_8, c_Int_OPls,
% 237.40/48.13 | simplifying with (529), (923) gives:
% 237.40/48.13 | (1214) all_1580_8 = all_1177_2
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1313_1, all_1582_8, c_Int_OPls,
% 237.40/48.13 | simplifying with (656), (934) gives:
% 237.40/48.13 | (1215) all_1582_8 = all_1313_1
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1094_2, all_1582_8, c_Int_OPls,
% 237.40/48.13 | simplifying with (457), (934) gives:
% 237.40/48.13 | (1216) all_1582_8 = all_1094_2
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1563_9, all_1588_2, c_Int_OPls,
% 237.40/48.13 | simplifying with (902), (967) gives:
% 237.40/48.13 | (1217) all_1588_2 = all_1563_9
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1336_2, all_1602_11, c_Int_OPls,
% 237.40/48.13 | simplifying with (681), (989) gives:
% 237.40/48.13 | (1218) all_1602_11 = all_1336_2
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1231_1, all_1602_11, c_Int_OPls,
% 237.40/48.13 | simplifying with (573), (989) gives:
% 237.40/48.13 | (1219) all_1602_11 = all_1231_1
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1588_2, all_1609_4, c_Int_OPls,
% 237.40/48.13 | simplifying with (967), (1021) gives:
% 237.40/48.13 | (1220) all_1609_4 = all_1588_2
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1402_1, all_1609_4, c_Int_OPls,
% 237.40/48.13 | simplifying with (733), (1021) gives:
% 237.40/48.13 | (1221) all_1609_4 = all_1402_1
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1468_1, all_1617_3, c_Int_OPls,
% 237.40/48.13 | simplifying with (790), (1043) gives:
% 237.40/48.13 | (1222) all_1617_3 = all_1468_1
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1617_3, all_1619_3, c_Int_OPls,
% 237.40/48.13 | simplifying with (1043), (1055) gives:
% 237.40/48.13 | (1223) all_1619_3 = all_1617_3
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1619_3, all_1622_3, c_Int_OPls,
% 237.40/48.13 | simplifying with (1055), (1065) gives:
% 237.40/48.13 | (1224) all_1622_3 = all_1619_3
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1622_3, all_1624_3, c_Int_OPls,
% 237.40/48.13 | simplifying with (1065), (1076) gives:
% 237.40/48.13 | (1225) all_1624_3 = all_1622_3
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_1624_3, all_1627_3, c_Int_OPls,
% 237.40/48.13 | simplifying with (1076), (1087) gives:
% 237.40/48.13 | (1226) all_1627_3 = all_1624_3
% 237.40/48.13 |
% 237.40/48.13 | GROUND_INST: instantiating (259) with all_994_0, all_1627_3, c_Int_OPls,
% 237.40/48.13 | simplifying with (375), (1087) gives:
% 237.40/48.13 | (1227) all_1627_3 = all_994_0
% 237.40/48.13 |
% 237.40/48.14 | GROUND_INST: instantiating (259) with all_1336_2, all_1629_17, c_Int_OPls,
% 237.40/48.14 | simplifying with (681), (1104) gives:
% 237.40/48.14 | (1228) all_1629_17 = all_1336_2
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (259) with all_1148_0, all_1629_17, c_Int_OPls,
% 237.40/48.14 | simplifying with (502), (1104) gives:
% 237.40/48.14 | (1229) all_1629_17 = all_1148_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (259) with all_1136_0, all_1629_17, c_Int_OPls,
% 237.40/48.14 | simplifying with (496), (1104) gives:
% 237.40/48.14 | (1230) all_1629_17 = all_1136_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_892_0, all_944_0, tc_RealDef_Oreal,
% 237.40/48.14 | simplifying with (283), (331) gives:
% 237.40/48.14 | (1231) all_944_0 = all_892_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_944_0, all_982_0, tc_RealDef_Oreal,
% 237.40/48.14 | simplifying with (331), (365) gives:
% 237.40/48.14 | (1232) all_982_0 = all_944_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_982_0, all_1012_1, tc_RealDef_Oreal,
% 237.40/48.14 | simplifying with (365), (390) gives:
% 237.40/48.14 | (1233) all_1012_1 = all_982_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1012_1, all_1037_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (390), (404) gives:
% 237.40/48.14 | (1234) all_1037_0 = all_1012_1
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1037_0, all_1060_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (404), (424) gives:
% 237.40/48.14 | (1235) all_1060_0 = all_1037_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1060_0, all_1077_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (424), (438) gives:
% 237.40/48.14 | (1236) all_1077_0 = all_1060_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1077_0, all_1086_1,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (438), (445) gives:
% 237.40/48.14 | (1237) all_1086_1 = all_1077_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_944_0, all_1101_0, tc_RealDef_Oreal,
% 237.40/48.14 | simplifying with (331), (468) gives:
% 237.40/48.14 | (1238) all_1101_0 = all_944_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1086_1, all_1104_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (445), (470) gives:
% 237.40/48.14 | (1239) all_1104_0 = all_1086_1
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1151_3, all_1195_1,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (507), (542) gives:
% 237.40/48.14 | (1240) all_1195_1 = all_1151_3
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1195_1, all_1213_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (542), (558) gives:
% 237.40/48.14 | (1241) all_1213_0 = all_1195_1
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1151_3, all_1219_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (507), (562) gives:
% 237.40/48.14 | (1242) all_1219_0 = all_1151_3
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1124_1, all_1219_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (485), (562) gives:
% 237.40/48.14 | (1243) all_1219_0 = all_1124_1
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1118_0, all_1219_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (481), (562) gives:
% 237.40/48.14 | (1244) all_1219_0 = all_1118_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1213_0, all_1247_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (558), (590) gives:
% 237.40/48.14 | (1245) all_1247_0 = all_1213_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1247_0, all_1253_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (590), (595) gives:
% 237.40/48.14 | (1246) all_1253_0 = all_1247_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1253_0, all_1262_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (595), (603) gives:
% 237.40/48.14 | (1247) all_1262_0 = all_1253_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1262_0, all_1265_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (603), (605) gives:
% 237.40/48.14 | (1248) all_1265_0 = all_1262_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1265_0, all_1285_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (605), (630) gives:
% 237.40/48.14 | (1249) all_1285_0 = all_1265_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1285_0, all_1293_5,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (630), (643) gives:
% 237.40/48.14 | (1250) all_1293_5 = all_1285_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1316_0, all_1330_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (658), (672) gives:
% 237.40/48.14 | (1251) all_1330_0 = all_1316_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1219_0, all_1357_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (562), (695) gives:
% 237.40/48.14 | (1252) all_1357_0 = all_1219_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1330_0, all_1393_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (672), (726) gives:
% 237.40/48.14 | (1253) all_1393_0 = all_1330_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1393_0, all_1405_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (726), (735) gives:
% 237.40/48.14 | (1254) all_1405_0 = all_1393_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1405_0, all_1423_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (735), (751) gives:
% 237.40/48.14 | (1255) all_1423_0 = all_1405_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1423_0, all_1429_1,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (751), (756) gives:
% 237.40/48.14 | (1256) all_1429_1 = all_1423_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1393_0, all_1447_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (726), (775) gives:
% 237.40/48.14 | (1257) all_1447_0 = all_1393_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1375_0, all_1447_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (712), (775) gives:
% 237.40/48.14 | (1258) all_1447_0 = all_1375_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1429_1, all_1489_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (756), (806) gives:
% 237.40/48.14 | (1259) all_1489_0 = all_1429_1
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1219_0, all_1492_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (562), (808) gives:
% 237.40/48.14 | (1260) all_1492_0 = all_1219_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1130_1, all_1492_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (490), (808) gives:
% 237.40/48.14 | (1261) all_1492_0 = all_1130_1
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1295_0, all_1498_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (645), (812) gives:
% 237.40/48.14 | (1262) all_1498_0 = all_1295_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1357_0, all_1501_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (695), (814) gives:
% 237.40/48.14 | (1263) all_1501_0 = all_1357_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1501_0, all_1509_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (814), (821) gives:
% 237.40/48.14 | (1264) all_1509_0 = all_1501_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1183_0, all_1509_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (533), (821) gives:
% 237.40/48.14 | (1265) all_1509_0 = all_1183_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_980_1, all_1552_9, tc_RealDef_Oreal,
% 237.40/48.14 | simplifying with (362), (882) gives:
% 237.40/48.14 | (1266) all_1552_9 = all_980_1
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1118_0, all_1568_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (481), (906) gives:
% 237.40/48.14 | (1267) all_1568_0 = all_1118_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1112_0, all_1568_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (478), (906) gives:
% 237.40/48.14 | (1268) all_1568_0 = all_1112_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1104_0, all_1568_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (470), (906) gives:
% 237.40/48.14 | (1269) all_1568_0 = all_1104_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1498_0, all_1571_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (812), (908) gives:
% 237.40/48.14 | (1270) all_1571_0 = all_1498_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1333_0, all_1571_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (675), (908) gives:
% 237.40/48.14 | (1271) all_1571_0 = all_1333_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1316_0, all_1571_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (658), (908) gives:
% 237.40/48.14 | (1272) all_1571_0 = all_1316_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1293_5, all_1571_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (643), (908) gives:
% 237.40/48.14 | (1273) all_1571_0 = all_1293_5
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1552_9, all_1611_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (882), (1024) gives:
% 237.40/48.14 | (1274) all_1611_0 = all_1552_9
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1489_0, all_1611_0,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (806), (1024) gives:
% 237.40/48.14 | (1275) all_1611_0 = all_1489_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_982_0, all_1622_9, tc_RealDef_Oreal,
% 237.40/48.14 | simplifying with (365), (1066) gives:
% 237.40/48.14 | (1276) all_1622_9 = all_982_0
% 237.40/48.14 |
% 237.40/48.14 | GROUND_INST: instantiating (260) with all_1611_0, all_1624_9,
% 237.40/48.14 | tc_RealDef_Oreal, simplifying with (1024), (1077) gives:
% 237.40/48.14 | (1277) all_1624_9 = all_1611_0
% 237.40/48.14 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1101_0, all_1629_4,
% 237.40/48.15 | tc_RealDef_Oreal, simplifying with (468), (1105) gives:
% 237.40/48.15 | (1278) all_1629_4 = all_1101_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_900_0, all_1629_4, tc_RealDef_Oreal,
% 237.40/48.15 | simplifying with (293), (1105) gives:
% 237.40/48.15 | (1279) all_1629_4 = all_900_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1627_9, all_1637_0,
% 237.40/48.15 | tc_RealDef_Oreal, simplifying with (1088), (1114) gives:
% 237.40/48.15 | (1280) all_1637_0 = all_1627_9
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1624_9, all_1637_0,
% 237.40/48.15 | tc_RealDef_Oreal, simplifying with (1077), (1114) gives:
% 237.40/48.15 | (1281) all_1637_0 = all_1624_9
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1507_1, all_1637_0,
% 237.40/48.15 | tc_RealDef_Oreal, simplifying with (819), (1114) gives:
% 237.40/48.15 | (1282) all_1637_0 = all_1507_1
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1622_9, all_1639_0,
% 237.40/48.15 | tc_RealDef_Oreal, simplifying with (1066), (1116) gives:
% 237.40/48.15 | (1283) all_1639_0 = all_1622_9
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_896_0, all_1639_0, tc_RealDef_Oreal,
% 237.40/48.15 | simplifying with (289), (1116) gives:
% 237.40/48.15 | (1284) all_1639_0 = all_896_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_918_0, all_926_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (311), (318) gives:
% 237.40/48.15 | (1285) all_926_0 = all_918_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_910_0, all_926_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (305), (318) gives:
% 237.40/48.15 | (1286) all_926_0 = all_910_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_926_0, all_932_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (318), (322) gives:
% 237.40/48.15 | (1287) all_932_0 = all_926_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_932_0, all_935_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (322), (324) gives:
% 237.40/48.15 | (1288) all_935_0 = all_932_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_932_0, all_938_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (322), (326) gives:
% 237.40/48.15 | (1289) all_938_0 = all_932_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_912_0, all_938_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (307), (326) gives:
% 237.40/48.15 | (1290) all_938_0 = all_912_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_932_0, all_941_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (322), (328) gives:
% 237.40/48.15 | (1291) all_941_0 = all_932_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_935_0, all_948_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (324), (334) gives:
% 237.40/48.15 | (1292) all_948_0 = all_935_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_948_0, all_951_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (334), (336) gives:
% 237.40/48.15 | (1293) all_951_0 = all_948_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_951_0, all_954_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (336), (338) gives:
% 237.40/48.15 | (1294) all_954_0 = all_951_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_954_0, all_957_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (338), (341) gives:
% 237.40/48.15 | (1295) all_957_0 = all_954_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_957_0, all_961_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (341), (347) gives:
% 237.40/48.15 | (1296) all_961_0 = all_957_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_926_0, all_964_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (318), (349) gives:
% 237.40/48.15 | (1297) all_964_0 = all_926_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_915_0, all_964_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (309), (349) gives:
% 237.40/48.15 | (1298) all_964_0 = all_915_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_961_0, all_971_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (347), (356) gives:
% 237.40/48.15 | (1299) all_971_0 = all_961_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_971_0, all_974_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (356), (358) gives:
% 237.40/48.15 | (1300) all_974_0 = all_971_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_974_0, all_987_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (358), (369) gives:
% 237.40/48.15 | (1301) all_987_0 = all_974_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_987_0, all_1025_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (369), (400) gives:
% 237.40/48.15 | (1302) all_1025_0 = all_987_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1049_0, all_1052_2, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (411), (416) gives:
% 237.40/48.15 | (1303) all_1052_2 = all_1049_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1052_2, all_1063_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (416), (426) gives:
% 237.40/48.15 | (1304) all_1063_0 = all_1052_2
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1049_0, all_1066_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (411), (428) gives:
% 237.40/48.15 | (1305) all_1066_0 = all_1049_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1046_0, all_1066_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (409), (428) gives:
% 237.40/48.15 | (1306) all_1066_0 = all_1046_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1025_0, all_1066_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (400), (428) gives:
% 237.40/48.15 | (1307) all_1066_0 = all_1025_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1063_0, all_1069_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (426), (430) gives:
% 237.40/48.15 | (1308) all_1069_0 = all_1063_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_948_0, all_1072_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (334), (434) gives:
% 237.40/48.15 | (1309) all_1072_0 = all_948_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_929_0, all_1072_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (320), (434) gives:
% 237.40/48.15 | (1310) all_1072_0 = all_929_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1069_0, all_1074_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (430), (436) gives:
% 237.40/48.15 | (1311) all_1074_0 = all_1069_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1074_0, all_1083_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (436), (443) gives:
% 237.40/48.15 | (1312) all_1083_0 = all_1074_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1083_0, all_1091_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (443), (454) gives:
% 237.40/48.15 | (1313) all_1091_0 = all_1083_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1025_0, all_1096_3, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (400), (464) gives:
% 237.40/48.15 | (1314) all_1096_3 = all_1025_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_944_1, all_1096_3, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (332), (464) gives:
% 237.40/48.15 | (1315) all_1096_3 = all_944_1
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1091_0, all_1127_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (454), (488) gives:
% 237.40/48.15 | (1316) all_1127_0 = all_1091_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1127_0, all_1130_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (488), (491) gives:
% 237.40/48.15 | (1317) all_1130_0 = all_1127_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1130_0, all_1133_1, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (491), (494) gives:
% 237.40/48.15 | (1318) all_1133_1 = all_1130_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1133_1, all_1159_2, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (494), (514) gives:
% 237.40/48.15 | (1319) all_1159_2 = all_1133_1
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1186_0, all_1189_1, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (535), (538) gives:
% 237.40/48.15 | (1320) all_1189_1 = all_1186_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1201_1, all_1207_1, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (548), (553) gives:
% 237.40/48.15 | (1321) all_1207_1 = all_1201_1
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1207_1, all_1210_1, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (553), (556) gives:
% 237.40/48.15 | (1322) all_1210_1 = all_1207_1
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1210_1, all_1228_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (556), (569) gives:
% 237.40/48.15 | (1323) all_1228_0 = all_1210_1
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1228_0, all_1231_4, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (569), (574) gives:
% 237.40/48.15 | (1324) all_1231_4 = all_1228_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1231_4, all_1233_1, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (574), (576) gives:
% 237.40/48.15 | (1325) all_1233_1 = all_1231_4
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1233_1, all_1236_1, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (576), (579) gives:
% 237.40/48.15 | (1326) all_1236_1 = all_1233_1
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1236_1, all_1239_1, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (579), (584) gives:
% 237.40/48.15 | (1327) all_1239_1 = all_1236_1
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1239_1, all_1244_1, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (584), (588) gives:
% 237.40/48.15 | (1328) all_1244_1 = all_1239_1
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1244_1, all_1282_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (588), (628) gives:
% 237.40/48.15 | (1329) all_1282_0 = all_1244_1
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1282_0, all_1288_2, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (628), (635) gives:
% 237.40/48.15 | (1330) all_1288_2 = all_1282_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1288_2, all_1304_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (635), (651) gives:
% 237.40/48.15 | (1331) all_1304_0 = all_1288_2
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1298_0, all_1307_1, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (647), (653) gives:
% 237.40/48.15 | (1332) all_1307_1 = all_1298_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1201_1, all_1307_1, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (548), (653) gives:
% 237.40/48.15 | (1333) all_1307_1 = all_1201_1
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1304_0, all_1354_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (651), (693) gives:
% 237.40/48.15 | (1334) all_1354_0 = all_1304_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1354_0, all_1360_1, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (693), (700) gives:
% 237.40/48.15 | (1335) all_1360_1 = all_1354_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1360_1, all_1369_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (700), (708) gives:
% 237.40/48.15 | (1336) all_1369_0 = all_1360_1
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_918_0, all_1384_1, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (311), (720) gives:
% 237.40/48.15 | (1337) all_1384_1 = all_918_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1369_0, all_1390_1, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (708), (724) gives:
% 237.40/48.15 | (1338) all_1390_1 = all_1369_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1307_1, all_1396_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (653), (728) gives:
% 237.40/48.15 | (1339) all_1396_0 = all_1307_1
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1390_1, all_1429_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (724), (757) gives:
% 237.40/48.15 | (1340) all_1429_0 = all_1390_1
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1429_0, all_1444_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (757), (773) gives:
% 237.40/48.15 | (1341) all_1444_0 = all_1429_0
% 237.40/48.15 |
% 237.40/48.15 | GROUND_INST: instantiating (260) with all_1444_0, all_1450_0, tc_Nat_Onat,
% 237.40/48.15 | simplifying with (773), (777) gives:
% 237.40/48.16 | (1342) all_1450_0 = all_1444_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1450_0, all_1462_0, tc_Nat_Onat,
% 237.40/48.16 | simplifying with (777), (786) gives:
% 237.40/48.16 | (1343) all_1462_0 = all_1450_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1384_1, all_1480_0, tc_Nat_Onat,
% 237.40/48.16 | simplifying with (720), (799) gives:
% 237.40/48.16 | (1344) all_1480_0 = all_1384_1
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_906_0, all_1480_0, tc_Nat_Onat,
% 237.40/48.16 | simplifying with (300), (799) gives:
% 237.40/48.16 | (1345) all_1480_0 = all_906_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1396_0, all_1515_1, tc_Nat_Onat,
% 237.40/48.16 | simplifying with (728), (826) gives:
% 237.40/48.16 | (1346) all_1515_1 = all_1396_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1198_0, all_1515_1, tc_Nat_Onat,
% 237.40/48.16 | simplifying with (545), (826) gives:
% 237.40/48.16 | (1347) all_1515_1 = all_1198_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1462_0, all_1518_1, tc_Nat_Onat,
% 237.40/48.16 | simplifying with (786), (829) gives:
% 237.40/48.16 | (1348) all_1518_1 = all_1462_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1518_1, all_1543_0, tc_Nat_Onat,
% 237.40/48.16 | simplifying with (829), (861) gives:
% 237.40/48.16 | (1349) all_1543_0 = all_1518_1
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1543_0, all_1549_0, tc_Nat_Onat,
% 237.40/48.16 | simplifying with (861), (866) gives:
% 237.40/48.16 | (1350) all_1549_0 = all_1543_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1527_0, all_1554_1, tc_Nat_Onat,
% 237.40/48.16 | simplifying with (838), (885) gives:
% 237.40/48.16 | (1351) all_1554_1 = all_1527_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1271_0, all_1554_1, tc_Nat_Onat,
% 237.40/48.16 | simplifying with (610), (885) gives:
% 237.40/48.16 | (1352) all_1554_1 = all_1271_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1549_0, all_1557_0, tc_Nat_Onat,
% 237.40/48.16 | simplifying with (866), (887) gives:
% 237.40/48.16 | (1353) all_1557_0 = all_1549_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1554_1, all_1565_0, tc_Nat_Onat,
% 237.40/48.16 | simplifying with (885), (904) gives:
% 237.40/48.16 | (1354) all_1565_0 = all_1554_1
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1301_0, all_1565_0, tc_Nat_Onat,
% 237.40/48.16 | simplifying with (649), (904) gives:
% 237.40/48.16 | (1355) all_1565_0 = all_1301_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1282_0, all_1565_0, tc_Nat_Onat,
% 237.40/48.16 | simplifying with (628), (904) gives:
% 237.40/48.16 | (1356) all_1565_0 = all_1282_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1540_0, all_1574_0, tc_Nat_Onat,
% 237.40/48.16 | simplifying with (859), (910) gives:
% 237.40/48.16 | (1357) all_1574_0 = all_1540_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1298_0, all_1574_0, tc_Nat_Onat,
% 237.40/48.16 | simplifying with (647), (910) gives:
% 237.40/48.16 | (1358) all_1574_0 = all_1298_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1195_0, all_1574_0, tc_Nat_Onat,
% 237.40/48.16 | simplifying with (543), (910) gives:
% 237.40/48.16 | (1359) all_1574_0 = all_1195_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_941_0, all_1577_0, tc_Nat_Onat,
% 237.40/48.16 | simplifying with (328), (912) gives:
% 237.40/48.16 | (1360) all_1577_0 = all_941_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_921_0, all_1577_0, tc_Nat_Onat,
% 237.40/48.16 | simplifying with (313), (912) gives:
% 237.40/48.16 | (1361) all_1577_0 = all_921_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1186_0, all_1606_0, tc_Nat_Onat,
% 237.40/48.16 | simplifying with (535), (1004) gives:
% 237.40/48.16 | (1362) all_1606_0 = all_1186_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1180_0, all_1606_0, tc_Nat_Onat,
% 237.40/48.16 | simplifying with (531), (1004) gives:
% 237.40/48.16 | (1363) all_1606_0 = all_1180_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1159_2, all_1606_0, tc_Nat_Onat,
% 237.40/48.16 | simplifying with (514), (1004) gives:
% 237.40/48.16 | (1364) all_1606_0 = all_1159_2
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1557_0, all_1631_0, tc_Nat_Onat,
% 237.40/48.16 | simplifying with (887), (1110) gives:
% 237.40/48.16 | (1365) all_1631_0 = all_1557_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1002_0, all_1631_0, tc_Nat_Onat,
% 237.40/48.16 | simplifying with (382), (1110) gives:
% 237.40/48.16 | (1366) all_1631_0 = all_1002_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1298_0, all_1634_0, tc_Nat_Onat,
% 237.40/48.16 | simplifying with (647), (1112) gives:
% 237.40/48.16 | (1367) all_1634_0 = all_1298_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1192_0, all_1634_0, tc_Nat_Onat,
% 237.40/48.16 | simplifying with (540), (1112) gives:
% 237.40/48.16 | (1368) all_1634_0 = all_1192_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1189_1, all_1634_0, tc_Nat_Onat,
% 237.40/48.16 | simplifying with (538), (1112) gives:
% 237.40/48.16 | (1369) all_1634_0 = all_1189_1
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_904_0, all_959_1, tc_Int_Oint,
% 237.40/48.16 | simplifying with (298), (344) gives:
% 237.40/48.16 | (1370) all_959_1 = all_904_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_959_1, all_969_1, tc_Int_Oint,
% 237.40/48.16 | simplifying with (344), (352) gives:
% 237.40/48.16 | (1371) all_969_1 = all_959_1
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_969_1, all_985_1, tc_Int_Oint,
% 237.40/48.16 | simplifying with (352), (367) gives:
% 237.40/48.16 | (1372) all_985_1 = all_969_1
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_985_1, all_1005_1, tc_Int_Oint,
% 237.40/48.16 | simplifying with (367), (384) gives:
% 237.40/48.16 | (1373) all_1005_1 = all_985_1
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1005_1, all_1016_0, tc_Int_Oint,
% 237.40/48.16 | simplifying with (384), (396) gives:
% 237.40/48.16 | (1374) all_1016_0 = all_1005_1
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1016_0, all_1022_0, tc_Int_Oint,
% 237.40/48.16 | simplifying with (396), (398) gives:
% 237.40/48.16 | (1375) all_1022_0 = all_1016_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1022_0, all_1034_0, tc_Int_Oint,
% 237.40/48.16 | simplifying with (398), (402) gives:
% 237.40/48.16 | (1376) all_1034_0 = all_1022_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1034_0, all_1057_0, tc_Int_Oint,
% 237.40/48.16 | simplifying with (402), (421) gives:
% 237.40/48.16 | (1377) all_1057_0 = all_1034_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1057_0, all_1089_3, tc_Int_Oint,
% 237.40/48.16 | simplifying with (421), (451) gives:
% 237.40/48.16 | (1378) all_1089_3 = all_1057_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1089_3, all_1094_3, tc_Int_Oint,
% 237.40/48.16 | simplifying with (451), (458) gives:
% 237.40/48.16 | (1379) all_1094_3 = all_1089_3
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1094_3, all_1142_0, tc_Int_Oint,
% 237.40/48.16 | simplifying with (458), (500) gives:
% 237.40/48.16 | (1380) all_1142_0 = all_1094_3
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1142_0, all_1156_0, tc_Int_Oint,
% 237.40/48.16 | simplifying with (500), (511) gives:
% 237.40/48.16 | (1381) all_1156_0 = all_1142_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_959_1, all_1162_1, tc_Int_Oint,
% 237.40/48.16 | simplifying with (344), (516) gives:
% 237.40/48.16 | (1382) all_1162_1 = all_959_1
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with c_Int_OPls, all_1162_1, tc_Int_Oint,
% 237.40/48.16 | simplifying with (59), (516) gives:
% 237.40/48.16 | (1383) all_1162_1 = c_Int_OPls
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1156_0, all_1204_0, tc_Int_Oint,
% 237.40/48.16 | simplifying with (511), (550) gives:
% 237.40/48.16 | (1384) all_1204_0 = all_1156_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1204_0, all_1222_0, tc_Int_Oint,
% 237.40/48.16 | simplifying with (550), (564) gives:
% 237.40/48.16 | (1385) all_1222_0 = all_1204_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1162_1, all_1342_0, tc_Int_Oint,
% 237.40/48.16 | simplifying with (516), (685) gives:
% 237.40/48.16 | (1386) all_1342_0 = all_1162_1
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1321_0, all_1345_0, tc_Int_Oint,
% 237.40/48.16 | simplifying with (667), (687) gives:
% 237.40/48.16 | (1387) all_1345_0 = all_1321_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1345_0, all_1372_0, tc_Int_Oint,
% 237.40/48.16 | simplifying with (687), (710) gives:
% 237.40/48.16 | (1388) all_1372_0 = all_1345_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1372_0, all_1399_0, tc_Int_Oint,
% 237.40/48.16 | simplifying with (710), (730) gives:
% 237.40/48.16 | (1389) all_1399_0 = all_1372_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1399_0, all_1411_1, tc_Int_Oint,
% 237.40/48.16 | simplifying with (730), (741) gives:
% 237.40/48.16 | (1390) all_1411_1 = all_1399_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1411_1, all_1417_1, tc_Int_Oint,
% 237.40/48.16 | simplifying with (741), (746) gives:
% 237.40/48.16 | (1391) all_1417_1 = all_1411_1
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1417_1, all_1426_1, tc_Int_Oint,
% 237.40/48.16 | simplifying with (746), (753) gives:
% 237.40/48.16 | (1392) all_1426_1 = all_1417_1
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1426_1, all_1435_1, tc_Int_Oint,
% 237.40/48.16 | simplifying with (753), (761) gives:
% 237.40/48.16 | (1393) all_1435_1 = all_1426_1
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1162_1, all_1438_4, tc_Int_Oint,
% 237.40/48.16 | simplifying with (516), (768) gives:
% 237.40/48.16 | (1394) all_1438_4 = all_1162_1
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1435_1, all_1441_0, tc_Int_Oint,
% 237.40/48.16 | simplifying with (761), (771) gives:
% 237.40/48.16 | (1395) all_1441_0 = all_1435_1
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1441_0, all_1483_1, tc_Int_Oint,
% 237.40/48.16 | simplifying with (771), (801) gives:
% 237.40/48.16 | (1396) all_1483_1 = all_1441_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1438_4, all_1504_0, tc_Int_Oint,
% 237.40/48.16 | simplifying with (768), (816) gives:
% 237.40/48.16 | (1397) all_1504_0 = all_1438_4
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_894_0, all_1504_0, tc_Int_Oint,
% 237.40/48.16 | simplifying with (286), (816) gives:
% 237.40/48.16 | (1398) all_1504_0 = all_894_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1483_1, all_1512_0, tc_Int_Oint,
% 237.40/48.16 | simplifying with (801), (823) gives:
% 237.40/48.16 | (1399) all_1512_0 = all_1483_1
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1342_0, all_1532_0, tc_Int_Oint,
% 237.40/48.16 | simplifying with (685), (852) gives:
% 237.40/48.16 | (1400) all_1532_0 = all_1342_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_908_0, all_1532_0, tc_Int_Oint,
% 237.40/48.16 | simplifying with (302), (852) gives:
% 237.40/48.16 | (1401) all_1532_0 = all_908_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1512_0, all_1535_0, tc_Int_Oint,
% 237.40/48.16 | simplifying with (823), (854) gives:
% 237.40/48.16 | (1402) all_1535_0 = all_1512_0
% 237.40/48.16 |
% 237.40/48.16 | GROUND_INST: instantiating (260) with all_1321_0, all_1591_0, tc_Int_Oint,
% 237.40/48.17 | simplifying with (667), (969) gives:
% 237.40/48.17 | (1403) all_1591_0 = all_1321_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (260) with all_1250_0, all_1591_0, tc_Int_Oint,
% 237.40/48.17 | simplifying with (592), (969) gives:
% 237.40/48.17 | (1404) all_1591_0 = all_1250_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (260) with all_1222_0, all_1591_0, tc_Int_Oint,
% 237.40/48.17 | simplifying with (564), (969) gives:
% 237.40/48.17 | (1405) all_1591_0 = all_1222_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (260) with all_1535_0, all_1594_0, tc_Int_Oint,
% 237.40/48.17 | simplifying with (854), (971) gives:
% 237.40/48.17 | (1406) all_1594_0 = all_1535_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (260) with all_924_1, all_1594_0, tc_Int_Oint,
% 237.40/48.17 | simplifying with (316), (971) gives:
% 237.40/48.17 | (1407) all_1594_0 = all_924_1
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_977_0, all_980_0, tc_RealDef_Oreal,
% 237.40/48.17 | simplifying with (360), (363) gives:
% 237.40/48.17 | (1408) all_980_0 = all_977_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_992_0, all_1040_0, tc_RealDef_Oreal,
% 237.40/48.17 | simplifying with (373), (407) gives:
% 237.40/48.17 | (1409) all_1040_0 = all_992_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_980_0, all_1040_0, tc_RealDef_Oreal,
% 237.40/48.17 | simplifying with (363), (407) gives:
% 237.40/48.17 | (1410) all_1040_0 = all_980_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_898_0, all_1040_0, tc_RealDef_Oreal,
% 237.40/48.17 | simplifying with (291), (407) gives:
% 237.40/48.17 | (1411) all_1040_0 = all_898_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1040_0, all_1052_0,
% 237.40/48.17 | tc_RealDef_Oreal, simplifying with (407), (417) gives:
% 237.40/48.17 | (1412) all_1052_0 = all_1040_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1052_0, all_1080_0,
% 237.40/48.17 | tc_RealDef_Oreal, simplifying with (417), (441) gives:
% 237.40/48.17 | (1413) all_1080_0 = all_1052_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1080_0, all_1086_0,
% 237.40/48.17 | tc_RealDef_Oreal, simplifying with (441), (446) gives:
% 237.40/48.17 | (1414) all_1086_0 = all_1080_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1086_0, all_1121_0,
% 237.40/48.17 | tc_RealDef_Oreal, simplifying with (446), (483) gives:
% 237.40/48.17 | (1415) all_1121_0 = all_1086_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1121_0, all_1124_0,
% 237.40/48.17 | tc_RealDef_Oreal, simplifying with (483), (486) gives:
% 237.40/48.17 | (1416) all_1124_0 = all_1121_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1124_0, all_1327_0,
% 237.40/48.17 | tc_RealDef_Oreal, simplifying with (486), (670) gives:
% 237.40/48.17 | (1417) all_1327_0 = all_1124_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1327_0, all_1486_0,
% 237.40/48.17 | tc_RealDef_Oreal, simplifying with (670), (804) gives:
% 237.40/48.17 | (1418) all_1486_0 = all_1327_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1012_0, all_1486_0,
% 237.40/48.17 | tc_RealDef_Oreal, simplifying with (391), (804) gives:
% 237.40/48.17 | (1419) all_1486_0 = all_1012_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1486_0, all_1495_0,
% 237.40/48.17 | tc_RealDef_Oreal, simplifying with (804), (810) gives:
% 237.40/48.17 | (1420) all_1495_0 = all_1486_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1495_0, all_1530_8,
% 237.40/48.17 | tc_RealDef_Oreal, simplifying with (810), (848) gives:
% 237.40/48.17 | (1421) all_1530_8 = all_1495_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1530_8, all_1538_0,
% 237.40/48.17 | tc_RealDef_Oreal, simplifying with (848), (857) gives:
% 237.40/48.17 | (1422) all_1538_0 = all_1530_8
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1538_0, all_1560_0,
% 237.40/48.17 | tc_RealDef_Oreal, simplifying with (857), (890) gives:
% 237.40/48.17 | (1423) all_1560_0 = all_1538_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1432_0, all_1560_0,
% 237.40/48.17 | tc_RealDef_Oreal, simplifying with (759), (890) gives:
% 237.40/48.17 | (1424) all_1560_0 = all_1432_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1560_0, all_1584_4,
% 237.40/48.17 | tc_RealDef_Oreal, simplifying with (890), (948) gives:
% 237.40/48.17 | (1425) all_1584_4 = all_1560_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1584_4, all_1586_4,
% 237.40/48.17 | tc_RealDef_Oreal, simplifying with (948), (961) gives:
% 237.40/48.17 | (1426) all_1586_4 = all_1584_4
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1586_4, all_1604_10,
% 237.40/48.17 | tc_RealDef_Oreal, simplifying with (961), (1001) gives:
% 237.40/48.17 | (1427) all_1604_10 = all_1586_4
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1604_10, all_1609_14,
% 237.40/48.17 | tc_RealDef_Oreal, simplifying with (1001), (1022) gives:
% 237.40/48.17 | (1428) all_1609_14 = all_1604_10
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1546_0, all_1609_14,
% 237.40/48.17 | tc_RealDef_Oreal, simplifying with (864), (1022) gives:
% 237.40/48.17 | (1429) all_1609_14 = all_1546_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_994_1, all_999_0, tc_Int_Oint,
% 237.40/48.17 | simplifying with (376), (380) gives:
% 237.40/48.17 | (1430) all_999_0 = all_994_1
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_994_1, all_1005_0, tc_Int_Oint,
% 237.40/48.17 | simplifying with (376), (385) gives:
% 237.40/48.17 | (1431) all_1005_0 = all_994_1
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1005_0, all_1054_0, tc_Int_Oint,
% 237.40/48.17 | simplifying with (385), (419) gives:
% 237.40/48.17 | (1432) all_1054_0 = all_1005_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_999_0, all_1057_1, tc_Int_Oint,
% 237.40/48.17 | simplifying with (380), (422) gives:
% 237.40/48.17 | (1433) all_1057_1 = all_999_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1005_0, all_1153_0, tc_Int_Oint,
% 237.40/48.17 | simplifying with (385), (509) gives:
% 237.40/48.17 | (1434) all_1153_0 = all_1005_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1241_0, all_1250_1, tc_Int_Oint,
% 237.40/48.17 | simplifying with (586), (593) gives:
% 237.40/48.17 | (1435) all_1250_1 = all_1241_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1250_1, all_1348_0, tc_Int_Oint,
% 237.40/48.17 | simplifying with (593), (689) gives:
% 237.40/48.17 | (1436) all_1348_0 = all_1250_1
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_959_0, all_1348_0, tc_Int_Oint,
% 237.40/48.17 | simplifying with (345), (689) gives:
% 237.40/48.17 | (1437) all_1348_0 = all_959_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1241_0, all_1366_0, tc_Int_Oint,
% 237.40/48.17 | simplifying with (586), (706) gives:
% 237.40/48.17 | (1438) all_1366_0 = all_1241_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1057_1, all_1366_0, tc_Int_Oint,
% 237.40/48.17 | simplifying with (422), (706) gives:
% 237.40/48.17 | (1439) all_1366_0 = all_1057_1
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1054_0, all_1411_0, tc_Int_Oint,
% 237.40/48.17 | simplifying with (419), (742) gives:
% 237.40/48.17 | (1440) all_1411_0 = all_1054_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1351_0, all_1414_0, tc_Int_Oint,
% 237.40/48.17 | simplifying with (691), (744) gives:
% 237.40/48.17 | (1441) all_1414_0 = all_1351_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_969_0, all_1414_0, tc_Int_Oint,
% 237.40/48.17 | simplifying with (353), (744) gives:
% 237.40/48.17 | (1442) all_1414_0 = all_969_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1411_0, all_1417_0, tc_Int_Oint,
% 237.40/48.17 | simplifying with (742), (747) gives:
% 237.40/48.17 | (1443) all_1417_0 = all_1411_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1366_0, all_1435_0, tc_Int_Oint,
% 237.40/48.17 | simplifying with (706), (762) gives:
% 237.40/48.17 | (1444) all_1435_0 = all_1366_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1162_0, all_1435_0, tc_Int_Oint,
% 237.40/48.17 | simplifying with (517), (762) gives:
% 237.40/48.17 | (1445) all_1435_0 = all_1162_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1435_0, all_1438_0, tc_Int_Oint,
% 237.40/48.17 | simplifying with (762), (769) gives:
% 237.40/48.17 | (1446) all_1438_0 = all_1435_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1426_0, all_1438_0, tc_Int_Oint,
% 237.40/48.17 | simplifying with (754), (769) gives:
% 237.40/48.17 | (1447) all_1438_0 = all_1426_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1351_0, all_1483_0, tc_Int_Oint,
% 237.40/48.17 | simplifying with (691), (802) gives:
% 237.40/48.17 | (1448) all_1483_0 = all_1351_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1222_1, all_1483_0, tc_Int_Oint,
% 237.40/48.17 | simplifying with (565), (802) gives:
% 237.40/48.17 | (1449) all_1483_0 = all_1222_1
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1153_0, all_1483_0, tc_Int_Oint,
% 237.40/48.17 | simplifying with (509), (802) gives:
% 237.40/48.17 | (1450) all_1483_0 = all_1153_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_1417_0, all_1504_1, tc_Int_Oint,
% 237.40/48.17 | simplifying with (747), (817) gives:
% 237.40/48.17 | (1451) all_1504_1 = all_1417_0
% 237.40/48.17 |
% 237.40/48.17 | GROUND_INST: instantiating (261) with all_996_0, all_1504_1, tc_Int_Oint,
% 237.40/48.17 | simplifying with (378), (817) gives:
% 237.40/48.17 | (1452) all_1504_1 = all_996_0
% 237.40/48.17 |
% 237.40/48.17 | COMBINE_EQS: (1283), (1284) imply:
% 237.40/48.17 | (1453) all_1622_9 = all_896_0
% 237.40/48.17 |
% 237.40/48.17 | SIMP: (1453) implies:
% 237.40/48.17 | (1454) all_1622_9 = all_896_0
% 237.40/48.17 |
% 237.40/48.17 | COMBINE_EQS: (1280), (1282) imply:
% 237.40/48.17 | (1455) all_1627_9 = all_1507_1
% 237.40/48.17 |
% 237.40/48.17 | COMBINE_EQS: (1280), (1281) imply:
% 237.40/48.17 | (1456) all_1627_9 = all_1624_9
% 237.40/48.17 |
% 237.40/48.17 | COMBINE_EQS: (1367), (1368) imply:
% 237.40/48.17 | (1457) all_1298_0 = all_1192_0
% 237.40/48.17 |
% 237.40/48.17 | SIMP: (1457) implies:
% 237.40/48.17 | (1458) all_1298_0 = all_1192_0
% 237.40/48.17 |
% 237.40/48.17 | COMBINE_EQS: (1368), (1369) imply:
% 237.40/48.17 | (1459) all_1192_0 = all_1189_1
% 237.40/48.17 |
% 237.40/48.17 | COMBINE_EQS: (1365), (1366) imply:
% 237.40/48.17 | (1460) all_1557_0 = all_1002_0
% 237.40/48.17 |
% 237.40/48.17 | SIMP: (1460) implies:
% 237.40/48.17 | (1461) all_1557_0 = all_1002_0
% 237.40/48.17 |
% 237.40/48.17 | COMBINE_EQS: (1278), (1279) imply:
% 237.40/48.17 | (1462) all_1101_0 = all_900_0
% 237.40/48.17 |
% 237.40/48.17 | SIMP: (1462) implies:
% 237.40/48.17 | (1463) all_1101_0 = all_900_0
% 237.40/48.17 |
% 237.40/48.17 | COMBINE_EQS: (1133), (1134) imply:
% 237.40/48.17 | (1464) all_1584_10 = all_1530_7
% 237.40/48.17 |
% 237.40/48.17 | SIMP: (1464) implies:
% 237.40/48.17 | (1465) all_1584_10 = all_1530_7
% 237.40/48.17 |
% 237.40/48.17 | COMBINE_EQS: (1132), (1134) imply:
% 237.40/48.17 | (1466) all_1586_10 = all_1530_7
% 237.40/48.17 |
% 237.40/48.17 | SIMP: (1466) implies:
% 237.40/48.17 | (1467) all_1586_10 = all_1530_7
% 237.40/48.17 |
% 237.40/48.17 | COMBINE_EQS: (1158), (1159) imply:
% 237.40/48.17 | (1468) all_1627_6 = all_1139_0
% 237.40/48.17 |
% 237.40/48.17 | SIMP: (1468) implies:
% 237.40/48.17 | (1469) all_1627_6 = all_1139_0
% 237.40/48.17 |
% 237.40/48.17 | COMBINE_EQS: (1170), (1171) imply:
% 237.40/48.17 | (1470) all_1627_8 = all_1563_6
% 237.40/48.17 |
% 237.40/48.17 | SIMP: (1470) implies:
% 237.40/48.17 | (1471) all_1627_8 = all_1563_6
% 237.40/48.17 |
% 237.40/48.17 | COMBINE_EQS: (1228), (1229) imply:
% 237.40/48.17 | (1472) all_1336_2 = all_1148_0
% 237.40/48.17 |
% 237.40/48.17 | SIMP: (1472) implies:
% 237.40/48.17 | (1473) all_1336_2 = all_1148_0
% 237.40/48.17 |
% 237.40/48.17 | COMBINE_EQS: (1229), (1230) imply:
% 237.40/48.17 | (1474) all_1148_0 = all_1136_0
% 237.40/48.17 |
% 237.40/48.17 | COMBINE_EQS: (1226), (1227) imply:
% 237.40/48.17 | (1475) all_1624_3 = all_994_0
% 237.40/48.17 |
% 237.40/48.17 | SIMP: (1475) implies:
% 237.40/48.17 | (1476) all_1624_3 = all_994_0
% 237.40/48.17 |
% 237.40/48.17 | COMBINE_EQS: (1157), (1469) imply:
% 237.40/48.17 | (1477) all_1624_6 = all_1139_0
% 237.40/48.17 |
% 237.40/48.17 | SIMP: (1477) implies:
% 237.40/48.17 | (1478) all_1624_6 = all_1139_0
% 237.40/48.17 |
% 237.40/48.17 | COMBINE_EQS: (1169), (1471) imply:
% 237.40/48.17 | (1479) all_1624_8 = all_1563_6
% 237.40/48.17 |
% 237.40/48.17 | SIMP: (1479) implies:
% 237.40/48.17 | (1480) all_1624_8 = all_1563_6
% 237.40/48.17 |
% 237.40/48.17 | COMBINE_EQS: (1455), (1456) imply:
% 237.40/48.17 | (1481) all_1624_9 = all_1507_1
% 237.40/48.17 |
% 237.40/48.17 | SIMP: (1481) implies:
% 237.40/48.17 | (1482) all_1624_9 = all_1507_1
% 237.40/48.17 |
% 237.40/48.17 | COMBINE_EQS: (1225), (1476) imply:
% 237.40/48.17 | (1483) all_1622_3 = all_994_0
% 237.40/48.17 |
% 237.40/48.17 | SIMP: (1483) implies:
% 237.40/48.17 | (1484) all_1622_3 = all_994_0
% 237.40/48.17 |
% 237.40/48.17 | COMBINE_EQS: (1156), (1478) imply:
% 237.40/48.17 | (1485) all_1622_6 = all_1139_0
% 237.40/48.17 |
% 237.40/48.17 | SIMP: (1485) implies:
% 237.40/48.17 | (1486) all_1622_6 = all_1139_0
% 237.40/48.17 |
% 237.40/48.17 | COMBINE_EQS: (1168), (1480) imply:
% 237.40/48.17 | (1487) all_1622_8 = all_1563_6
% 237.40/48.17 |
% 237.40/48.17 | SIMP: (1487) implies:
% 237.40/48.17 | (1488) all_1622_8 = all_1563_6
% 237.40/48.17 |
% 237.40/48.17 | COMBINE_EQS: (1277), (1482) imply:
% 237.40/48.17 | (1489) all_1611_0 = all_1507_1
% 237.40/48.17 |
% 237.40/48.17 | SIMP: (1489) implies:
% 237.40/48.17 | (1490) all_1611_0 = all_1507_1
% 237.40/48.17 |
% 237.40/48.17 | COMBINE_EQS: (1224), (1484) imply:
% 237.40/48.17 | (1491) all_1619_3 = all_994_0
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1491) implies:
% 237.40/48.18 | (1492) all_1619_3 = all_994_0
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1155), (1486) imply:
% 237.40/48.18 | (1493) all_1619_6 = all_1139_0
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1493) implies:
% 237.40/48.18 | (1494) all_1619_6 = all_1139_0
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1167), (1488) imply:
% 237.40/48.18 | (1495) all_1619_8 = all_1563_6
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1495) implies:
% 237.40/48.18 | (1496) all_1619_8 = all_1563_6
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1276), (1454) imply:
% 237.40/48.18 | (1497) all_982_0 = all_896_0
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1497) implies:
% 237.40/48.18 | (1498) all_982_0 = all_896_0
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1223), (1492) imply:
% 237.40/48.18 | (1499) all_1617_3 = all_994_0
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1499) implies:
% 237.40/48.18 | (1500) all_1617_3 = all_994_0
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1154), (1494) imply:
% 237.40/48.18 | (1501) all_1617_6 = all_1139_0
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1501) implies:
% 237.40/48.18 | (1502) all_1617_6 = all_1139_0
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1166), (1496) imply:
% 237.40/48.18 | (1503) all_1617_10 = all_1563_6
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1503) implies:
% 237.40/48.18 | (1504) all_1617_10 = all_1563_6
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1222), (1500) imply:
% 237.40/48.18 | (1505) all_1468_1 = all_994_0
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1505) implies:
% 237.40/48.18 | (1506) all_1468_1 = all_994_0
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1153), (1502) imply:
% 237.40/48.18 | (1507) all_1614_0 = all_1139_0
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1507) implies:
% 237.40/48.18 | (1508) all_1614_0 = all_1139_0
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1165), (1504) imply:
% 237.40/48.18 | (1509) all_1609_9 = all_1563_6
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1509) implies:
% 237.40/48.18 | (1510) all_1609_9 = all_1563_6
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1130), (1131) imply:
% 237.40/48.18 | (1511) all_1609_13 = all_1007_1
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1511) implies:
% 237.40/48.18 | (1512) all_1609_13 = all_1007_1
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1152), (1508) imply:
% 237.40/48.18 | (1513) all_1609_7 = all_1139_0
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1513) implies:
% 237.40/48.18 | (1514) all_1609_7 = all_1139_0
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1275), (1490) imply:
% 237.40/48.18 | (1515) all_1507_1 = all_1489_0
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1274), (1490) imply:
% 237.40/48.18 | (1516) all_1552_9 = all_1507_1
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1516) implies:
% 237.40/48.18 | (1517) all_1552_9 = all_1507_1
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1220), (1221) imply:
% 237.40/48.18 | (1518) all_1588_2 = all_1402_1
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1518) implies:
% 237.40/48.18 | (1519) all_1588_2 = all_1402_1
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1151), (1514) imply:
% 237.40/48.18 | (1520) all_1604_11 = all_1139_0
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1520) implies:
% 237.40/48.18 | (1521) all_1604_11 = all_1139_0
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1164), (1510) imply:
% 237.40/48.18 | (1522) all_1602_8 = all_1563_6
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1522) implies:
% 237.40/48.18 | (1523) all_1602_8 = all_1563_6
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1129), (1512) imply:
% 237.40/48.18 | (1524) all_1604_9 = all_1007_1
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1524) implies:
% 237.40/48.18 | (1525) all_1604_9 = all_1007_1
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1428), (1429) imply:
% 237.40/48.18 | (1526) all_1604_10 = all_1546_0
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1526) implies:
% 237.40/48.18 | (1527) all_1604_10 = all_1546_0
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1362), (1363) imply:
% 237.40/48.18 | (1528) all_1186_0 = all_1180_0
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1528) implies:
% 237.40/48.18 | (1529) all_1186_0 = all_1180_0
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1363), (1364) imply:
% 237.40/48.18 | (1530) all_1180_0 = all_1159_2
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1128), (1525) imply:
% 237.40/48.18 | (1531) all_1602_2 = all_1007_1
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1531) implies:
% 237.40/48.18 | (1532) all_1602_2 = all_1007_1
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1427), (1527) imply:
% 237.40/48.18 | (1533) all_1586_4 = all_1546_0
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1533) implies:
% 237.40/48.18 | (1534) all_1586_4 = all_1546_0
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1150), (1521) imply:
% 237.40/48.18 | (1535) all_1602_6 = all_1139_0
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1535) implies:
% 237.40/48.18 | (1536) all_1602_6 = all_1139_0
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1127), (1532) imply:
% 237.40/48.18 | (1537) all_1586_10 = all_1007_1
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1537) implies:
% 237.40/48.18 | (1538) all_1586_10 = all_1007_1
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1149), (1536) imply:
% 237.40/48.18 | (1539) all_1600_1 = all_1139_0
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1539) implies:
% 237.40/48.18 | (1540) all_1600_1 = all_1139_0
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1163), (1523) imply:
% 237.40/48.18 | (1541) all_1582_5 = all_1563_6
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1541) implies:
% 237.40/48.18 | (1542) all_1582_5 = all_1563_6
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1218), (1219) imply:
% 237.40/48.18 | (1543) all_1336_2 = all_1231_1
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1543) implies:
% 237.40/48.18 | (1544) all_1336_2 = all_1231_1
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1148), (1540) imply:
% 237.40/48.18 | (1545) all_1597_0 = all_1139_0
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1545) implies:
% 237.40/48.18 | (1546) all_1597_0 = all_1139_0
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1147), (1546) imply:
% 237.40/48.18 | (1547) all_1586_5 = all_1139_0
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1547) implies:
% 237.40/48.18 | (1548) all_1586_5 = all_1139_0
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1406), (1407) imply:
% 237.40/48.18 | (1549) all_1535_0 = all_924_1
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1549) implies:
% 237.40/48.18 | (1550) all_1535_0 = all_924_1
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1403), (1404) imply:
% 237.40/48.18 | (1551) all_1321_0 = all_1250_0
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1551) implies:
% 237.40/48.18 | (1552) all_1321_0 = all_1250_0
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1404), (1405) imply:
% 237.40/48.18 | (1553) all_1250_0 = all_1222_0
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1217), (1519) imply:
% 237.40/48.18 | (1554) all_1563_9 = all_1402_1
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1554) implies:
% 237.40/48.18 | (1555) all_1563_9 = all_1402_1
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1426), (1534) imply:
% 237.40/48.18 | (1556) all_1584_4 = all_1546_0
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1556) implies:
% 237.40/48.18 | (1557) all_1584_4 = all_1546_0
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1146), (1548) imply:
% 237.40/48.18 | (1558) all_1584_5 = all_1139_0
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1558) implies:
% 237.40/48.18 | (1559) all_1584_5 = all_1139_0
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1467), (1538) imply:
% 237.40/48.18 | (1560) all_1530_7 = all_1007_1
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1560) implies:
% 237.40/48.18 | (1561) all_1530_7 = all_1007_1
% 237.40/48.18 |
% 237.40/48.18 | COMBINE_EQS: (1425), (1557) imply:
% 237.40/48.18 | (1562) all_1560_0 = all_1546_0
% 237.40/48.18 |
% 237.40/48.18 | SIMP: (1562) implies:
% 237.40/48.18 | (1563) all_1560_0 = all_1546_0
% 237.40/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1145), (1559) imply:
% 237.79/48.18 | (1564) all_1582_3 = all_1139_0
% 237.79/48.18 |
% 237.79/48.18 | SIMP: (1564) implies:
% 237.79/48.18 | (1565) all_1582_3 = all_1139_0
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1125), (1465) imply:
% 237.79/48.18 | (1566) all_1530_7 = all_1319_4
% 237.79/48.18 |
% 237.79/48.18 | SIMP: (1566) implies:
% 237.79/48.18 | (1567) all_1530_7 = all_1319_4
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1125), (1126) imply:
% 237.79/48.18 | (1568) all_1319_4 = all_1151_2
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1144), (1565) imply:
% 237.79/48.18 | (1569) all_1580_3 = all_1139_0
% 237.79/48.18 |
% 237.79/48.18 | SIMP: (1569) implies:
% 237.79/48.18 | (1570) all_1580_3 = all_1139_0
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1162), (1542) imply:
% 237.79/48.18 | (1571) all_1580_5 = all_1563_6
% 237.79/48.18 |
% 237.79/48.18 | SIMP: (1571) implies:
% 237.79/48.18 | (1572) all_1580_5 = all_1563_6
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1215), (1216) imply:
% 237.79/48.18 | (1573) all_1313_1 = all_1094_2
% 237.79/48.18 |
% 237.79/48.18 | SIMP: (1573) implies:
% 237.79/48.18 | (1574) all_1313_1 = all_1094_2
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1143), (1570) imply:
% 237.79/48.18 | (1575) all_1563_4 = all_1139_0
% 237.79/48.18 |
% 237.79/48.18 | SIMP: (1575) implies:
% 237.79/48.18 | (1576) all_1563_4 = all_1139_0
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1161), (1572) imply:
% 237.79/48.18 | (1577) all_1563_6 = all_1293_4
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1160), (1572) imply:
% 237.79/48.18 | (1578) all_1563_6 = all_1552_8
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1213), (1214) imply:
% 237.79/48.18 | (1579) all_1381_2 = all_1177_2
% 237.79/48.18 |
% 237.79/48.18 | SIMP: (1579) implies:
% 237.79/48.18 | (1580) all_1381_2 = all_1177_2
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1360), (1361) imply:
% 237.79/48.18 | (1581) all_941_0 = all_921_0
% 237.79/48.18 |
% 237.79/48.18 | SIMP: (1581) implies:
% 237.79/48.18 | (1582) all_941_0 = all_921_0
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1357), (1359) imply:
% 237.79/48.18 | (1583) all_1540_0 = all_1195_0
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1357), (1358) imply:
% 237.79/48.18 | (1584) all_1540_0 = all_1298_0
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1270), (1271) imply:
% 237.79/48.18 | (1585) all_1498_0 = all_1333_0
% 237.79/48.18 |
% 237.79/48.18 | SIMP: (1585) implies:
% 237.79/48.18 | (1586) all_1498_0 = all_1333_0
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1271), (1273) imply:
% 237.79/48.18 | (1587) all_1333_0 = all_1293_5
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1271), (1272) imply:
% 237.79/48.18 | (1588) all_1333_0 = all_1316_0
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1267), (1268) imply:
% 237.79/48.18 | (1589) all_1118_0 = all_1112_0
% 237.79/48.18 |
% 237.79/48.18 | SIMP: (1589) implies:
% 237.79/48.18 | (1590) all_1118_0 = all_1112_0
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1268), (1269) imply:
% 237.79/48.18 | (1591) all_1112_0 = all_1104_0
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1355), (1356) imply:
% 237.79/48.18 | (1592) all_1301_0 = all_1282_0
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1354), (1355) imply:
% 237.79/48.18 | (1593) all_1554_1 = all_1301_0
% 237.79/48.18 |
% 237.79/48.18 | SIMP: (1593) implies:
% 237.79/48.18 | (1594) all_1554_1 = all_1301_0
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1142), (1576) imply:
% 237.79/48.18 | (1595) all_1560_1 = all_1139_0
% 237.79/48.18 |
% 237.79/48.18 | SIMP: (1595) implies:
% 237.79/48.18 | (1596) all_1560_1 = all_1139_0
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1577), (1578) imply:
% 237.79/48.18 | (1597) all_1552_8 = all_1293_4
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1212), (1555) imply:
% 237.79/48.18 | (1598) all_1552_3 = all_1402_1
% 237.79/48.18 |
% 237.79/48.18 | SIMP: (1598) implies:
% 237.79/48.18 | (1599) all_1552_3 = all_1402_1
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1423), (1563) imply:
% 237.79/48.18 | (1600) all_1546_0 = all_1538_0
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1424), (1563) imply:
% 237.79/48.18 | (1601) all_1546_0 = all_1432_0
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1141), (1596) imply:
% 237.79/48.18 | (1602) all_1552_6 = all_1139_0
% 237.79/48.18 |
% 237.79/48.18 | SIMP: (1602) implies:
% 237.79/48.18 | (1603) all_1552_6 = all_1139_0
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1353), (1461) imply:
% 237.79/48.18 | (1604) all_1549_0 = all_1002_0
% 237.79/48.18 |
% 237.79/48.18 | SIMP: (1604) implies:
% 237.79/48.18 | (1605) all_1549_0 = all_1002_0
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1351), (1594) imply:
% 237.79/48.18 | (1606) all_1527_0 = all_1301_0
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1351), (1352) imply:
% 237.79/48.18 | (1607) all_1527_0 = all_1271_0
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1211), (1599) imply:
% 237.79/48.18 | (1608) all_1524_2 = all_1402_1
% 237.79/48.18 |
% 237.79/48.18 | SIMP: (1608) implies:
% 237.79/48.18 | (1609) all_1524_2 = all_1402_1
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1140), (1603) imply:
% 237.79/48.18 | (1610) all_1546_1 = all_1139_0
% 237.79/48.18 |
% 237.79/48.18 | SIMP: (1610) implies:
% 237.79/48.18 | (1611) all_1546_1 = all_1139_0
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1266), (1517) imply:
% 237.79/48.18 | (1612) all_1507_1 = all_980_1
% 237.79/48.18 |
% 237.79/48.18 | SIMP: (1612) implies:
% 237.79/48.18 | (1613) all_1507_1 = all_980_1
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1350), (1605) imply:
% 237.79/48.18 | (1614) all_1543_0 = all_1002_0
% 237.79/48.18 |
% 237.79/48.18 | SIMP: (1614) implies:
% 237.79/48.18 | (1615) all_1543_0 = all_1002_0
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1600), (1601) imply:
% 237.79/48.18 | (1616) all_1538_0 = all_1432_0
% 237.79/48.18 |
% 237.79/48.18 | SIMP: (1616) implies:
% 237.79/48.18 | (1617) all_1538_0 = all_1432_0
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1139), (1611) imply:
% 237.79/48.18 | (1618) all_1538_1 = all_1139_0
% 237.79/48.18 |
% 237.79/48.18 | SIMP: (1618) implies:
% 237.79/48.18 | (1619) all_1538_1 = all_1139_0
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1349), (1615) imply:
% 237.79/48.18 | (1620) all_1518_1 = all_1002_0
% 237.79/48.18 |
% 237.79/48.18 | SIMP: (1620) implies:
% 237.79/48.18 | (1621) all_1518_1 = all_1002_0
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1583), (1584) imply:
% 237.79/48.18 | (1622) all_1298_0 = all_1195_0
% 237.79/48.18 |
% 237.79/48.18 | SIMP: (1622) implies:
% 237.79/48.18 | (1623) all_1298_0 = all_1195_0
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1422), (1617) imply:
% 237.79/48.18 | (1624) all_1530_8 = all_1432_0
% 237.79/48.18 |
% 237.79/48.18 | SIMP: (1624) implies:
% 237.79/48.18 | (1625) all_1530_8 = all_1432_0
% 237.79/48.18 |
% 237.79/48.18 | COMBINE_EQS: (1138), (1619) imply:
% 237.79/48.19 | (1626) all_1327_1 = all_1139_0
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1626) implies:
% 237.79/48.19 | (1627) all_1327_1 = all_1139_0
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1402), (1550) imply:
% 237.79/48.19 | (1628) all_1512_0 = all_924_1
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1628) implies:
% 237.79/48.19 | (1629) all_1512_0 = all_924_1
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1400), (1401) imply:
% 237.79/48.19 | (1630) all_1342_0 = all_908_0
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1630) implies:
% 237.79/48.19 | (1631) all_1342_0 = all_908_0
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1561), (1567) imply:
% 237.79/48.19 | (1632) all_1319_4 = all_1007_1
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1632) implies:
% 237.79/48.19 | (1633) all_1319_4 = all_1007_1
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1421), (1625) imply:
% 237.79/48.19 | (1634) all_1495_0 = all_1432_0
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1634) implies:
% 237.79/48.19 | (1635) all_1495_0 = all_1432_0
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1606), (1607) imply:
% 237.79/48.19 | (1636) all_1301_0 = all_1271_0
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1636) implies:
% 237.79/48.19 | (1637) all_1301_0 = all_1271_0
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1210), (1609) imply:
% 237.79/48.19 | (1638) all_1521_1 = all_1402_1
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1638) implies:
% 237.79/48.19 | (1639) all_1521_1 = all_1402_1
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1209), (1639) imply:
% 237.79/48.19 | (1640) all_1474_0 = all_1402_1
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1640) implies:
% 237.79/48.19 | (1641) all_1474_0 = all_1402_1
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1348), (1621) imply:
% 237.79/48.19 | (1642) all_1462_0 = all_1002_0
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1642) implies:
% 237.79/48.19 | (1643) all_1462_0 = all_1002_0
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1346), (1347) imply:
% 237.79/48.19 | (1644) all_1396_0 = all_1198_0
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1644) implies:
% 237.79/48.19 | (1645) all_1396_0 = all_1198_0
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1399), (1629) imply:
% 237.79/48.19 | (1646) all_1483_1 = all_924_1
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1646) implies:
% 237.79/48.19 | (1647) all_1483_1 = all_924_1
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1264), (1265) imply:
% 237.79/48.19 | (1648) all_1501_0 = all_1183_0
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1648) implies:
% 237.79/48.19 | (1649) all_1501_0 = all_1183_0
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1515), (1613) imply:
% 237.79/48.19 | (1650) all_1489_0 = all_980_1
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1650) implies:
% 237.79/48.19 | (1651) all_1489_0 = all_980_1
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1397), (1398) imply:
% 237.79/48.19 | (1652) all_1438_4 = all_894_0
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1652) implies:
% 237.79/48.19 | (1653) all_1438_4 = all_894_0
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1451), (1452) imply:
% 237.79/48.19 | (1654) all_1417_0 = all_996_0
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1654) implies:
% 237.79/48.19 | (1655) all_1417_0 = all_996_0
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1263), (1649) imply:
% 237.79/48.19 | (1656) all_1357_0 = all_1183_0
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1656) implies:
% 237.79/48.19 | (1657) all_1357_0 = all_1183_0
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1262), (1586) imply:
% 237.79/48.19 | (1658) all_1333_0 = all_1295_0
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1658) implies:
% 237.79/48.19 | (1659) all_1333_0 = all_1295_0
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1420), (1635) imply:
% 237.79/48.19 | (1660) all_1486_0 = all_1432_0
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1660) implies:
% 237.79/48.19 | (1661) all_1486_0 = all_1432_0
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1260), (1261) imply:
% 237.79/48.19 | (1662) all_1219_0 = all_1130_1
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1662) implies:
% 237.79/48.19 | (1663) all_1219_0 = all_1130_1
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1259), (1651) imply:
% 237.79/48.19 | (1664) all_1429_1 = all_980_1
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1664) implies:
% 237.79/48.19 | (1665) all_1429_1 = all_980_1
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1419), (1661) imply:
% 237.79/48.19 | (1666) all_1432_0 = all_1012_0
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1418), (1661) imply:
% 237.79/48.19 | (1667) all_1432_0 = all_1327_0
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1449), (1450) imply:
% 237.79/48.19 | (1668) all_1222_1 = all_1153_0
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1448), (1449) imply:
% 237.79/48.19 | (1669) all_1351_0 = all_1222_1
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1669) implies:
% 237.79/48.19 | (1670) all_1351_0 = all_1222_1
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1396), (1647) imply:
% 237.79/48.19 | (1671) all_1441_0 = all_924_1
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1671) implies:
% 237.79/48.19 | (1672) all_1441_0 = all_924_1
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1344), (1345) imply:
% 237.79/48.19 | (1673) all_1384_1 = all_906_0
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1673) implies:
% 237.79/48.19 | (1674) all_1384_1 = all_906_0
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1206), (1207) imply:
% 237.79/48.19 | (1675) all_1471_0 = all_1459_1
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1675) implies:
% 237.79/48.19 | (1676) all_1471_0 = all_1459_1
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1207), (1208) imply:
% 237.79/48.19 | (1677) all_1459_1 = all_1456_1
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1205), (1641) imply:
% 237.79/48.19 | (1678) all_1471_0 = all_1402_1
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1678) implies:
% 237.79/48.19 | (1679) all_1471_0 = all_1402_1
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1676), (1679) imply:
% 237.79/48.19 | (1680) all_1459_1 = all_1402_1
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1680) implies:
% 237.79/48.19 | (1681) all_1459_1 = all_1402_1
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1204), (1506) imply:
% 237.79/48.19 | (1682) all_1387_0 = all_994_0
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1682) implies:
% 237.79/48.19 | (1683) all_1387_0 = all_994_0
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1202), (1203) imply:
% 237.79/48.19 | (1684) all_1456_1 = all_1438_3
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1684) implies:
% 237.79/48.19 | (1685) all_1456_1 = all_1438_3
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1343), (1643) imply:
% 237.79/48.19 | (1686) all_1450_0 = all_1002_0
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1686) implies:
% 237.79/48.19 | (1687) all_1450_0 = all_1002_0
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1677), (1681) imply:
% 237.79/48.19 | (1688) all_1456_1 = all_1402_1
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1688) implies:
% 237.79/48.19 | (1689) all_1456_1 = all_1402_1
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1201), (1685) imply:
% 237.79/48.19 | (1690) all_1438_3 = all_1420_0
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1685), (1689) imply:
% 237.79/48.19 | (1691) all_1438_3 = all_1402_1
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1199), (1200) imply:
% 237.79/48.19 | (1692) all_1136_0 = all_1109_0
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1692) implies:
% 237.79/48.19 | (1693) all_1136_0 = all_1109_0
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1342), (1687) imply:
% 237.79/48.19 | (1694) all_1444_0 = all_1002_0
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1694) implies:
% 237.79/48.19 | (1695) all_1444_0 = all_1002_0
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1257), (1258) imply:
% 237.79/48.19 | (1696) all_1393_0 = all_1375_0
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1696) implies:
% 237.79/48.19 | (1697) all_1393_0 = all_1375_0
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1341), (1695) imply:
% 237.79/48.19 | (1698) all_1429_0 = all_1002_0
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1698) implies:
% 237.79/48.19 | (1699) all_1429_0 = all_1002_0
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1395), (1672) imply:
% 237.79/48.19 | (1700) all_1435_1 = all_924_1
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1700) implies:
% 237.79/48.19 | (1701) all_1435_1 = all_924_1
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1446), (1447) imply:
% 237.79/48.19 | (1702) all_1435_0 = all_1426_0
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1702) implies:
% 237.79/48.19 | (1703) all_1435_0 = all_1426_0
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1690), (1691) imply:
% 237.79/48.19 | (1704) all_1420_0 = all_1402_1
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1704) implies:
% 237.79/48.19 | (1705) all_1420_0 = all_1402_1
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1394), (1653) imply:
% 237.79/48.19 | (1706) all_1162_1 = all_894_0
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1706) implies:
% 237.79/48.19 | (1707) all_1162_1 = all_894_0
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1444), (1703) imply:
% 237.79/48.19 | (1708) all_1426_0 = all_1366_0
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1445), (1703) imply:
% 237.79/48.19 | (1709) all_1426_0 = all_1162_0
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1393), (1701) imply:
% 237.79/48.19 | (1710) all_1426_1 = all_924_1
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1710) implies:
% 237.79/48.19 | (1711) all_1426_1 = all_924_1
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1666), (1667) imply:
% 237.79/48.19 | (1712) all_1327_0 = all_1012_0
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1712) implies:
% 237.79/48.19 | (1713) all_1327_0 = all_1012_0
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1340), (1699) imply:
% 237.79/48.19 | (1714) all_1390_1 = all_1002_0
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1714) implies:
% 237.79/48.19 | (1715) all_1390_1 = all_1002_0
% 237.79/48.19 |
% 237.79/48.19 | COMBINE_EQS: (1256), (1665) imply:
% 237.79/48.19 | (1716) all_1423_0 = all_980_1
% 237.79/48.19 |
% 237.79/48.19 | SIMP: (1716) implies:
% 237.79/48.19 | (1717) all_1423_0 = all_980_1
% 237.83/48.19 |
% 237.83/48.19 | COMBINE_EQS: (1708), (1709) imply:
% 237.83/48.19 | (1718) all_1366_0 = all_1162_0
% 237.83/48.19 |
% 237.83/48.19 | SIMP: (1718) implies:
% 237.83/48.19 | (1719) all_1366_0 = all_1162_0
% 237.83/48.19 |
% 237.83/48.19 | COMBINE_EQS: (1392), (1711) imply:
% 237.83/48.19 | (1720) all_1417_1 = all_924_1
% 237.83/48.19 |
% 237.83/48.19 | SIMP: (1720) implies:
% 237.83/48.19 | (1721) all_1417_1 = all_924_1
% 237.83/48.19 |
% 237.83/48.19 | COMBINE_EQS: (1255), (1717) imply:
% 237.83/48.19 | (1722) all_1405_0 = all_980_1
% 237.83/48.19 |
% 237.83/48.19 | SIMP: (1722) implies:
% 237.83/48.19 | (1723) all_1405_0 = all_980_1
% 237.83/48.19 |
% 237.83/48.19 | COMBINE_EQS: (1198), (1705) imply:
% 237.83/48.19 | (1724) all_1408_2 = all_1402_1
% 237.83/48.19 |
% 237.83/48.19 | SIMP: (1724) implies:
% 237.83/48.19 | (1725) all_1408_2 = all_1402_1
% 237.83/48.19 |
% 237.83/48.19 | COMBINE_EQS: (1443), (1655) imply:
% 237.83/48.19 | (1726) all_1411_0 = all_996_0
% 237.83/48.19 |
% 237.83/48.19 | SIMP: (1726) implies:
% 237.83/48.19 | (1727) all_1411_0 = all_996_0
% 237.83/48.19 |
% 237.83/48.19 | COMBINE_EQS: (1391), (1721) imply:
% 237.83/48.19 | (1728) all_1411_1 = all_924_1
% 237.83/48.19 |
% 237.83/48.19 | SIMP: (1728) implies:
% 237.83/48.19 | (1729) all_1411_1 = all_924_1
% 237.83/48.19 |
% 237.83/48.19 | COMBINE_EQS: (1441), (1442) imply:
% 237.83/48.19 | (1730) all_1351_0 = all_969_0
% 237.83/48.19 |
% 237.83/48.19 | SIMP: (1730) implies:
% 237.83/48.19 | (1731) all_1351_0 = all_969_0
% 237.83/48.19 |
% 237.83/48.19 | COMBINE_EQS: (1440), (1727) imply:
% 237.83/48.19 | (1732) all_1054_0 = all_996_0
% 237.83/48.19 |
% 237.83/48.19 | SIMP: (1732) implies:
% 237.83/48.19 | (1733) all_1054_0 = all_996_0
% 237.83/48.19 |
% 237.83/48.19 | COMBINE_EQS: (1390), (1729) imply:
% 237.83/48.19 | (1734) all_1399_0 = all_924_1
% 237.83/48.19 |
% 237.83/48.19 | SIMP: (1734) implies:
% 237.83/48.19 | (1735) all_1399_0 = all_924_1
% 237.83/48.19 |
% 237.83/48.19 | COMBINE_EQS: (1197), (1725) imply:
% 237.83/48.19 | (1736) all_1402_1 = all_1225_0
% 237.83/48.19 |
% 237.83/48.19 | COMBINE_EQS: (1196), (1725) imply:
% 237.83/48.19 | (1737) all_1402_1 = all_1259_2
% 237.83/48.19 |
% 237.83/48.19 | COMBINE_EQS: (1195), (1725) imply:
% 237.83/48.19 | (1738) all_1402_1 = all_1339_2
% 237.83/48.19 |
% 237.83/48.19 | COMBINE_EQS: (1254), (1723) imply:
% 237.83/48.19 | (1739) all_1393_0 = all_980_1
% 237.83/48.19 |
% 237.83/48.19 | SIMP: (1739) implies:
% 237.83/48.19 | (1740) all_1393_0 = all_980_1
% 237.83/48.19 |
% 237.83/48.19 | COMBINE_EQS: (1737), (1738) imply:
% 237.83/48.19 | (1741) all_1339_2 = all_1259_2
% 237.83/48.19 |
% 237.83/48.19 | COMBINE_EQS: (1736), (1738) imply:
% 237.83/48.19 | (1742) all_1339_2 = all_1225_0
% 237.83/48.19 |
% 237.83/48.19 | COMBINE_EQS: (1389), (1735) imply:
% 237.83/48.19 | (1743) all_1372_0 = all_924_1
% 237.83/48.19 |
% 237.83/48.19 | SIMP: (1743) implies:
% 237.83/48.19 | (1744) all_1372_0 = all_924_1
% 237.83/48.19 |
% 237.83/48.19 | COMBINE_EQS: (1339), (1645) imply:
% 237.83/48.19 | (1745) all_1307_1 = all_1198_0
% 237.83/48.19 |
% 237.83/48.19 | SIMP: (1745) implies:
% 237.83/48.19 | (1746) all_1307_1 = all_1198_0
% 237.83/48.19 |
% 237.83/48.19 | COMBINE_EQS: (1253), (1697) imply:
% 237.83/48.19 | (1747) all_1375_0 = all_1330_0
% 237.83/48.19 |
% 237.83/48.19 | COMBINE_EQS: (1697), (1740) imply:
% 237.83/48.19 | (1748) all_1375_0 = all_980_1
% 237.83/48.19 |
% 237.83/48.19 | COMBINE_EQS: (1338), (1715) imply:
% 237.83/48.19 | (1749) all_1369_0 = all_1002_0
% 237.83/48.19 |
% 237.83/48.19 | SIMP: (1749) implies:
% 237.83/48.19 | (1750) all_1369_0 = all_1002_0
% 237.83/48.19 |
% 237.83/48.19 | COMBINE_EQS: (1194), (1683) imply:
% 237.83/48.19 | (1751) all_1378_0 = all_994_0
% 237.83/48.19 |
% 237.83/48.19 | SIMP: (1751) implies:
% 237.83/48.19 | (1752) all_1378_0 = all_994_0
% 237.83/48.19 |
% 237.83/48.19 | COMBINE_EQS: (1337), (1674) imply:
% 237.83/48.19 | (1753) all_918_0 = all_906_0
% 237.83/48.19 |
% 237.83/48.19 | SIMP: (1753) implies:
% 237.83/48.19 | (1754) all_918_0 = all_906_0
% 237.83/48.19 |
% 237.83/48.19 | COMBINE_EQS: (1191), (1580) imply:
% 237.83/48.19 | (1755) all_1177_2 = all_1165_2
% 237.83/48.19 |
% 237.83/48.19 | COMBINE_EQS: (1193), (1580) imply:
% 237.83/48.19 | (1756) all_1177_2 = all_1098_0
% 237.83/48.19 |
% 237.83/48.19 | COMBINE_EQS: (1192), (1580) imply:
% 237.83/48.19 | (1757) all_1177_2 = all_1107_1
% 237.83/48.19 |
% 237.83/48.19 | COMBINE_EQS: (1190), (1752) imply:
% 237.83/48.19 | (1758) all_1363_2 = all_994_0
% 237.83/48.19 |
% 237.83/48.19 | SIMP: (1758) implies:
% 237.83/48.19 | (1759) all_1363_2 = all_994_0
% 237.83/48.19 |
% 237.83/48.19 | COMBINE_EQS: (1747), (1748) imply:
% 237.83/48.19 | (1760) all_1330_0 = all_980_1
% 237.83/48.19 |
% 237.83/48.19 | SIMP: (1760) implies:
% 237.83/48.19 | (1761) all_1330_0 = all_980_1
% 237.83/48.19 |
% 237.83/48.19 | COMBINE_EQS: (1388), (1744) imply:
% 237.83/48.19 | (1762) all_1345_0 = all_924_1
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1762) implies:
% 237.83/48.20 | (1763) all_1345_0 = all_924_1
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1336), (1750) imply:
% 237.83/48.20 | (1764) all_1360_1 = all_1002_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1764) implies:
% 237.83/48.20 | (1765) all_1360_1 = all_1002_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1439), (1719) imply:
% 237.83/48.20 | (1766) all_1162_0 = all_1057_1
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1438), (1719) imply:
% 237.83/48.20 | (1767) all_1241_0 = all_1162_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1767) implies:
% 237.83/48.20 | (1768) all_1241_0 = all_1162_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1189), (1759) imply:
% 237.83/48.20 | (1769) all_1360_4 = all_994_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1769) implies:
% 237.83/48.20 | (1770) all_1360_4 = all_994_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1335), (1765) imply:
% 237.83/48.20 | (1771) all_1354_0 = all_1002_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1771) implies:
% 237.83/48.20 | (1772) all_1354_0 = all_1002_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1188), (1770) imply:
% 237.83/48.20 | (1773) all_1279_1 = all_994_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1773) implies:
% 237.83/48.20 | (1774) all_1279_1 = all_994_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1252), (1657) imply:
% 237.83/48.20 | (1775) all_1219_0 = all_1183_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1775) implies:
% 237.83/48.20 | (1776) all_1219_0 = all_1183_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1334), (1772) imply:
% 237.83/48.20 | (1777) all_1304_0 = all_1002_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1777) implies:
% 237.83/48.20 | (1778) all_1304_0 = all_1002_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1670), (1731) imply:
% 237.83/48.20 | (1779) all_1222_1 = all_969_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1779) implies:
% 237.83/48.20 | (1780) all_1222_1 = all_969_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1436), (1437) imply:
% 237.83/48.20 | (1781) all_1250_1 = all_959_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1781) implies:
% 237.83/48.20 | (1782) all_1250_1 = all_959_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1387), (1763) imply:
% 237.83/48.20 | (1783) all_1321_0 = all_924_1
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1783) implies:
% 237.83/48.20 | (1784) all_1321_0 = all_924_1
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1386), (1631) imply:
% 237.83/48.20 | (1785) all_1162_1 = all_908_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1785) implies:
% 237.83/48.20 | (1786) all_1162_1 = all_908_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1741), (1742) imply:
% 237.83/48.20 | (1787) all_1259_2 = all_1225_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1787) implies:
% 237.83/48.20 | (1788) all_1259_2 = all_1225_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1187), (1544) imply:
% 237.83/48.20 | (1789) all_1239_4 = all_1231_1
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1789) implies:
% 237.83/48.20 | (1790) all_1239_4 = all_1231_1
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1186), (1544) imply:
% 237.83/48.20 | (1791) all_1256_2 = all_1231_1
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1791) implies:
% 237.83/48.20 | (1792) all_1256_2 = all_1231_1
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1473), (1544) imply:
% 237.83/48.20 | (1793) all_1231_1 = all_1148_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1587), (1659) imply:
% 237.83/48.20 | (1794) all_1295_0 = all_1293_5
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1588), (1659) imply:
% 237.83/48.20 | (1795) all_1316_0 = all_1295_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1795) implies:
% 237.83/48.20 | (1796) all_1316_0 = all_1295_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1251), (1761) imply:
% 237.83/48.20 | (1797) all_1316_0 = all_980_1
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1797) implies:
% 237.83/48.20 | (1798) all_1316_0 = all_980_1
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1417), (1713) imply:
% 237.83/48.20 | (1799) all_1124_0 = all_1012_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1799) implies:
% 237.83/48.20 | (1800) all_1124_0 = all_1012_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1137), (1627) imply:
% 237.83/48.20 | (1801) all_1319_5 = all_1139_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1801) implies:
% 237.83/48.20 | (1802) all_1319_5 = all_1139_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1552), (1784) imply:
% 237.83/48.20 | (1803) all_1250_0 = all_924_1
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1803) implies:
% 237.83/48.20 | (1804) all_1250_0 = all_924_1
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1568), (1633) imply:
% 237.83/48.20 | (1805) all_1151_2 = all_1007_1
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1805) implies:
% 237.83/48.20 | (1806) all_1151_2 = all_1007_1
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1136), (1802) imply:
% 237.83/48.20 | (1807) all_1293_2 = all_1139_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1807) implies:
% 237.83/48.20 | (1808) all_1293_2 = all_1139_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1796), (1798) imply:
% 237.83/48.20 | (1809) all_1295_0 = all_980_1
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1809) implies:
% 237.83/48.20 | (1810) all_1295_0 = all_980_1
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1185), (1574) imply:
% 237.83/48.20 | (1811) all_1288_5 = all_1094_2
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1811) implies:
% 237.83/48.20 | (1812) all_1288_5 = all_1094_2
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1333), (1746) imply:
% 237.83/48.20 | (1813) all_1201_1 = all_1198_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1813) implies:
% 237.83/48.20 | (1814) all_1201_1 = all_1198_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1332), (1746) imply:
% 237.83/48.20 | (1815) all_1298_0 = all_1198_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1815) implies:
% 237.83/48.20 | (1816) all_1298_0 = all_1198_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1331), (1778) imply:
% 237.83/48.20 | (1817) all_1288_2 = all_1002_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1817) implies:
% 237.83/48.20 | (1818) all_1288_2 = all_1002_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1592), (1637) imply:
% 237.83/48.20 | (1819) all_1282_0 = all_1271_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1819) implies:
% 237.83/48.20 | (1820) all_1282_0 = all_1271_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1458), (1623) imply:
% 237.83/48.20 | (1821) all_1195_0 = all_1192_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1623), (1816) imply:
% 237.83/48.20 | (1822) all_1198_0 = all_1195_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1822) implies:
% 237.83/48.20 | (1823) all_1198_0 = all_1195_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1794), (1810) imply:
% 237.83/48.20 | (1824) all_1293_5 = all_980_1
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1824) implies:
% 237.83/48.20 | (1825) all_1293_5 = all_980_1
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1135), (1808) imply:
% 237.83/48.20 | (1826) all_1268_0 = all_1139_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1826) implies:
% 237.83/48.20 | (1827) all_1268_0 = all_1139_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1250), (1825) imply:
% 237.83/48.20 | (1828) all_1285_0 = all_980_1
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1828) implies:
% 237.83/48.20 | (1829) all_1285_0 = all_980_1
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1330), (1818) imply:
% 237.83/48.20 | (1830) all_1282_0 = all_1002_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1830) implies:
% 237.83/48.20 | (1831) all_1282_0 = all_1002_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1184), (1812) imply:
% 237.83/48.20 | (1832) all_1239_4 = all_1094_2
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1832) implies:
% 237.83/48.20 | (1833) all_1239_4 = all_1094_2
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1249), (1829) imply:
% 237.83/48.20 | (1834) all_1265_0 = all_980_1
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1834) implies:
% 237.83/48.20 | (1835) all_1265_0 = all_980_1
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1329), (1820) imply:
% 237.83/48.20 | (1836) all_1271_0 = all_1244_1
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1820), (1831) imply:
% 237.83/48.20 | (1837) all_1271_0 = all_1002_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1183), (1774) imply:
% 237.83/48.20 | (1838) all_1276_1 = all_994_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1838) implies:
% 237.83/48.20 | (1839) all_1276_1 = all_994_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1182), (1839) imply:
% 237.83/48.20 | (1840) all_1216_0 = all_994_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1840) implies:
% 237.83/48.20 | (1841) all_1216_0 = all_994_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1836), (1837) imply:
% 237.83/48.20 | (1842) all_1244_1 = all_1002_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1842) implies:
% 237.83/48.20 | (1843) all_1244_1 = all_1002_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1248), (1835) imply:
% 237.83/48.20 | (1844) all_1262_0 = all_980_1
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1844) implies:
% 237.83/48.20 | (1845) all_1262_0 = all_980_1
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1247), (1845) imply:
% 237.83/48.20 | (1846) all_1253_0 = all_980_1
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1846) implies:
% 237.83/48.20 | (1847) all_1253_0 = all_980_1
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1181), (1788) imply:
% 237.83/48.20 | (1848) all_1256_2 = all_1225_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1848) implies:
% 237.83/48.20 | (1849) all_1256_2 = all_1225_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1792), (1849) imply:
% 237.83/48.20 | (1850) all_1231_1 = all_1225_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1850) implies:
% 237.83/48.20 | (1851) all_1231_1 = all_1225_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1246), (1847) imply:
% 237.83/48.20 | (1852) all_1247_0 = all_980_1
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1852) implies:
% 237.83/48.20 | (1853) all_1247_0 = all_980_1
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1553), (1804) imply:
% 237.83/48.20 | (1854) all_1222_0 = all_924_1
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1854) implies:
% 237.83/48.20 | (1855) all_1222_0 = all_924_1
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1435), (1782) imply:
% 237.83/48.20 | (1856) all_1241_0 = all_959_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1856) implies:
% 237.83/48.20 | (1857) all_1241_0 = all_959_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1245), (1853) imply:
% 237.83/48.20 | (1858) all_1213_0 = all_980_1
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1858) implies:
% 237.83/48.20 | (1859) all_1213_0 = all_980_1
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1328), (1843) imply:
% 237.83/48.20 | (1860) all_1239_1 = all_1002_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1860) implies:
% 237.83/48.20 | (1861) all_1239_1 = all_1002_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1768), (1857) imply:
% 237.83/48.20 | (1862) all_1162_0 = all_959_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1862) implies:
% 237.83/48.20 | (1863) all_1162_0 = all_959_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1327), (1861) imply:
% 237.83/48.20 | (1864) all_1236_1 = all_1002_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1864) implies:
% 237.83/48.20 | (1865) all_1236_1 = all_1002_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1790), (1833) imply:
% 237.83/48.20 | (1866) all_1231_1 = all_1094_2
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1866) implies:
% 237.83/48.20 | (1867) all_1231_1 = all_1094_2
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1326), (1865) imply:
% 237.83/48.20 | (1868) all_1233_1 = all_1002_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1868) implies:
% 237.83/48.20 | (1869) all_1233_1 = all_1002_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1325), (1869) imply:
% 237.83/48.20 | (1870) all_1231_4 = all_1002_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1870) implies:
% 237.83/48.20 | (1871) all_1231_4 = all_1002_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1793), (1851) imply:
% 237.83/48.20 | (1872) all_1225_0 = all_1148_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1851), (1867) imply:
% 237.83/48.20 | (1873) all_1225_0 = all_1094_2
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1324), (1871) imply:
% 237.83/48.20 | (1874) all_1228_0 = all_1002_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1874) implies:
% 237.83/48.20 | (1875) all_1228_0 = all_1002_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1323), (1875) imply:
% 237.83/48.20 | (1876) all_1210_1 = all_1002_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1876) implies:
% 237.83/48.20 | (1877) all_1210_1 = all_1002_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1872), (1873) imply:
% 237.83/48.20 | (1878) all_1148_0 = all_1094_2
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1878) implies:
% 237.83/48.20 | (1879) all_1148_0 = all_1094_2
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1385), (1855) imply:
% 237.83/48.20 | (1880) all_1204_0 = all_924_1
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1880) implies:
% 237.83/48.20 | (1881) all_1204_0 = all_924_1
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1668), (1780) imply:
% 237.83/48.20 | (1882) all_1153_0 = all_969_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1882) implies:
% 237.83/48.20 | (1883) all_1153_0 = all_969_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1244), (1776) imply:
% 237.83/48.20 | (1884) all_1183_0 = all_1118_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1243), (1776) imply:
% 237.83/48.20 | (1885) all_1183_0 = all_1124_1
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1242), (1776) imply:
% 237.83/48.20 | (1886) all_1183_0 = all_1151_3
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1663), (1776) imply:
% 237.83/48.20 | (1887) all_1183_0 = all_1130_1
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1180), (1841) imply:
% 237.83/48.20 | (1888) all_1171_0 = all_994_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1888) implies:
% 237.83/48.20 | (1889) all_1171_0 = all_994_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1241), (1859) imply:
% 237.83/48.20 | (1890) all_1195_1 = all_980_1
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1890) implies:
% 237.83/48.20 | (1891) all_1195_1 = all_980_1
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1322), (1877) imply:
% 237.83/48.20 | (1892) all_1207_1 = all_1002_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1892) implies:
% 237.83/48.20 | (1893) all_1207_1 = all_1002_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1321), (1893) imply:
% 237.83/48.20 | (1894) all_1201_1 = all_1002_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1894) implies:
% 237.83/48.20 | (1895) all_1201_1 = all_1002_0
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1384), (1881) imply:
% 237.83/48.20 | (1896) all_1156_0 = all_924_1
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1896) implies:
% 237.83/48.20 | (1897) all_1156_0 = all_924_1
% 237.83/48.20 |
% 237.83/48.20 | COMBINE_EQS: (1814), (1895) imply:
% 237.83/48.20 | (1898) all_1198_0 = all_1002_0
% 237.83/48.20 |
% 237.83/48.20 | SIMP: (1898) implies:
% 237.83/48.20 | (1899) all_1198_0 = all_1002_0
% 237.83/48.21 |
% 237.83/48.21 | COMBINE_EQS: (1823), (1899) imply:
% 237.83/48.21 | (1900) all_1195_0 = all_1002_0
% 237.83/48.21 |
% 237.83/48.21 | SIMP: (1900) implies:
% 237.83/48.21 | (1901) all_1195_0 = all_1002_0
% 237.83/48.21 |
% 237.83/48.21 | COMBINE_EQS: (1821), (1901) imply:
% 237.83/48.21 | (1902) all_1192_0 = all_1002_0
% 237.83/48.21 |
% 237.83/48.21 | SIMP: (1902) implies:
% 237.83/48.21 | (1903) all_1192_0 = all_1002_0
% 237.83/48.21 |
% 237.83/48.21 | COMBINE_EQS: (1240), (1891) imply:
% 237.83/48.21 | (1904) all_1151_3 = all_980_1
% 237.83/48.21 |
% 237.83/48.21 | SIMP: (1904) implies:
% 237.83/48.21 | (1905) all_1151_3 = all_980_1
% 237.83/48.21 |
% 237.83/48.21 | COMBINE_EQS: (1459), (1903) imply:
% 237.83/48.21 | (1906) all_1189_1 = all_1002_0
% 237.83/48.21 |
% 237.83/48.21 | SIMP: (1906) implies:
% 237.83/48.21 | (1907) all_1189_1 = all_1002_0
% 237.83/48.21 |
% 237.83/48.21 | COMBINE_EQS: (1320), (1907) imply:
% 237.83/48.21 | (1908) all_1186_0 = all_1002_0
% 237.83/48.21 |
% 237.83/48.21 | SIMP: (1908) implies:
% 237.83/48.21 | (1909) all_1186_0 = all_1002_0
% 237.83/48.21 |
% 237.83/48.21 | COMBINE_EQS: (1529), (1909) imply:
% 237.83/48.21 | (1910) all_1180_0 = all_1002_0
% 237.83/48.21 |
% 237.83/48.21 | SIMP: (1910) implies:
% 237.83/48.21 | (1911) all_1180_0 = all_1002_0
% 237.83/48.21 |
% 237.83/48.21 | COMBINE_EQS: (1885), (1887) imply:
% 237.83/48.21 | (1912) all_1130_1 = all_1124_1
% 237.83/48.21 |
% 237.83/48.21 | COMBINE_EQS: (1886), (1887) imply:
% 237.83/48.21 | (1913) all_1151_3 = all_1130_1
% 237.83/48.21 |
% 237.83/48.21 | SIMP: (1913) implies:
% 237.83/48.21 | (1914) all_1151_3 = all_1130_1
% 237.83/48.21 |
% 237.83/48.21 | COMBINE_EQS: (1884), (1887) imply:
% 237.83/48.21 | (1915) all_1130_1 = all_1118_0
% 237.83/48.21 |
% 237.83/48.21 | COMBINE_EQS: (1530), (1911) imply:
% 237.83/48.21 | (1916) all_1159_2 = all_1002_0
% 237.83/48.21 |
% 237.83/48.21 | SIMP: (1916) implies:
% 237.83/48.21 | (1917) all_1159_2 = all_1002_0
% 237.83/48.21 |
% 237.83/48.21 | COMBINE_EQS: (1755), (1757) imply:
% 237.83/48.21 | (1918) all_1165_2 = all_1107_1
% 237.83/48.21 |
% 237.83/48.21 | SIMP: (1918) implies:
% 237.83/48.21 | (1919) all_1165_2 = all_1107_1
% 237.83/48.21 |
% 237.83/48.21 | COMBINE_EQS: (1756), (1757) imply:
% 237.83/48.21 | (1920) all_1107_1 = all_1098_0
% 237.83/48.21 |
% 237.83/48.21 | COMBINE_EQS: (1179), (1889) imply:
% 237.83/48.21 | (1921) all_1168_2 = all_994_0
% 237.83/48.21 |
% 237.83/48.21 | SIMP: (1921) implies:
% 237.83/48.21 | (1922) all_1168_2 = all_994_0
% 237.83/48.21 |
% 237.83/48.21 | COMBINE_EQS: (1178), (1922) imply:
% 237.83/48.21 | (1923) all_1165_2 = all_994_0
% 237.83/48.21 |
% 237.83/48.21 | SIMP: (1923) implies:
% 237.83/48.21 | (1924) all_1165_2 = all_994_0
% 237.83/48.21 |
% 237.83/48.21 | COMBINE_EQS: (1919), (1924) imply:
% 237.83/48.21 | (1925) all_1107_1 = all_994_0
% 237.83/48.21 |
% 237.83/48.21 | SIMP: (1925) implies:
% 237.83/48.21 | (1926) all_1107_1 = all_994_0
% 237.83/48.21 |
% 237.83/48.21 | COMBINE_EQS: (1766), (1863) imply:
% 237.83/48.21 | (1927) all_1057_1 = all_959_0
% 237.83/48.21 |
% 237.83/48.21 | SIMP: (1927) implies:
% 237.83/48.21 | (1928) all_1057_1 = all_959_0
% 237.83/48.21 |
% 237.83/48.21 | COMBINE_EQS: (1383), (1786) imply:
% 237.83/48.21 | (1929) all_908_0 = c_Int_OPls
% 237.83/48.21 |
% 237.83/48.21 | COMBINE_EQS: (1382), (1786) imply:
% 237.83/48.21 | (1930) all_959_1 = all_908_0
% 237.83/48.21 |
% 237.83/48.21 | SIMP: (1930) implies:
% 237.83/48.21 | (1931) all_959_1 = all_908_0
% 237.83/48.21 |
% 237.83/48.21 | COMBINE_EQS: (1707), (1786) imply:
% 237.83/48.21 | (1932) all_908_0 = all_894_0
% 237.83/48.21 |
% 237.83/48.21 | COMBINE_EQS: (1319), (1917) imply:
% 237.83/48.21 | (1933) all_1133_1 = all_1002_0
% 237.83/48.21 |
% 237.83/48.21 | SIMP: (1933) implies:
% 237.83/48.21 | (1934) all_1133_1 = all_1002_0
% 237.83/48.21 |
% 237.83/48.21 | COMBINE_EQS: (1381), (1897) imply:
% 237.83/48.21 | (1935) all_1142_0 = all_924_1
% 237.83/48.21 |
% 237.83/48.21 | SIMP: (1935) implies:
% 237.83/48.21 | (1936) all_1142_0 = all_924_1
% 237.83/48.21 |
% 237.83/48.21 | COMBINE_EQS: (1434), (1883) imply:
% 237.83/48.21 | (1937) all_1005_0 = all_969_0
% 237.83/48.21 |
% 237.83/48.21 | SIMP: (1937) implies:
% 237.83/48.21 | (1938) all_1005_0 = all_969_0
% 237.83/48.21 |
% 237.83/48.21 | COMBINE_EQS: (1905), (1914) imply:
% 237.83/48.21 | (1939) all_1130_1 = all_980_1
% 237.83/48.21 |
% 237.83/48.21 | SIMP: (1939) implies:
% 237.83/48.21 | (1940) all_1130_1 = all_980_1
% 237.83/48.21 |
% 237.83/48.21 | COMBINE_EQS: (1474), (1879) imply:
% 237.83/48.21 | (1941) all_1136_0 = all_1094_2
% 237.83/48.21 |
% 237.83/48.21 | SIMP: (1941) implies:
% 237.83/48.21 | (1942) all_1136_0 = all_1094_2
% 237.83/48.21 |
% 237.83/48.21 | COMBINE_EQS: (1380), (1936) imply:
% 237.83/48.21 | (1943) all_1094_3 = all_924_1
% 237.83/48.21 |
% 237.83/48.21 | SIMP: (1943) implies:
% 237.83/48.21 | (1944) all_1094_3 = all_924_1
% 237.83/48.21 |
% 237.83/48.21 | COMBINE_EQS: (1176), (1693) imply:
% 237.83/48.21 | (1945) all_1109_0 = all_1096_2
% 237.83/48.21 |
% 237.83/48.21 | COMBINE_EQS: (1177), (1693) imply:
% 237.83/48.21 | (1946) all_1109_0 = all_1089_2
% 237.83/48.21 |
% 237.83/48.21 | COMBINE_EQS: (1693), (1942) imply:
% 237.91/48.21 | (1947) all_1109_0 = all_1094_2
% 237.91/48.21 |
% 237.91/48.21 | COMBINE_EQS: (1318), (1934) imply:
% 237.91/48.21 | (1948) all_1130_0 = all_1002_0
% 237.91/48.21 |
% 237.91/48.21 | SIMP: (1948) implies:
% 237.91/48.21 | (1949) all_1130_0 = all_1002_0
% 237.91/48.21 |
% 237.91/48.21 | COMBINE_EQS: (1317), (1949) imply:
% 237.91/48.21 | (1950) all_1127_0 = all_1002_0
% 237.91/48.21 |
% 237.91/48.21 | SIMP: (1950) implies:
% 237.91/48.21 | (1951) all_1127_0 = all_1002_0
% 237.91/48.21 |
% 237.91/48.21 | COMBINE_EQS: (1912), (1915) imply:
% 237.91/48.21 | (1952) all_1124_1 = all_1118_0
% 237.91/48.21 |
% 237.91/48.21 | COMBINE_EQS: (1912), (1940) imply:
% 237.91/48.21 | (1953) all_1124_1 = all_980_1
% 237.91/48.21 |
% 237.91/48.21 | COMBINE_EQS: (1316), (1951) imply:
% 237.91/48.21 | (1954) all_1091_0 = all_1002_0
% 237.91/48.21 |
% 237.91/48.21 | SIMP: (1954) implies:
% 237.91/48.21 | (1955) all_1091_0 = all_1002_0
% 237.91/48.21 |
% 237.91/48.21 | COMBINE_EQS: (1416), (1800) imply:
% 237.91/48.21 | (1956) all_1121_0 = all_1012_0
% 237.91/48.21 |
% 237.91/48.21 | SIMP: (1956) implies:
% 237.91/48.21 | (1957) all_1121_0 = all_1012_0
% 237.91/48.21 |
% 237.91/48.21 | COMBINE_EQS: (1952), (1953) imply:
% 237.91/48.21 | (1958) all_1118_0 = all_980_1
% 237.91/48.21 |
% 237.91/48.21 | SIMP: (1958) implies:
% 237.91/48.21 | (1959) all_1118_0 = all_980_1
% 237.91/48.21 |
% 237.91/48.21 | COMBINE_EQS: (1415), (1957) imply:
% 237.91/48.21 | (1960) all_1086_0 = all_1012_0
% 237.91/48.21 |
% 237.91/48.21 | SIMP: (1960) implies:
% 237.91/48.21 | (1961) all_1086_0 = all_1012_0
% 237.91/48.21 |
% 237.91/48.21 | COMBINE_EQS: (1590), (1959) imply:
% 237.91/48.21 | (1962) all_1112_0 = all_980_1
% 237.91/48.21 |
% 237.91/48.21 | SIMP: (1962) implies:
% 237.91/48.21 | (1963) all_1112_0 = all_980_1
% 237.91/48.21 |
% 237.91/48.21 | COMBINE_EQS: (1591), (1963) imply:
% 237.91/48.21 | (1964) all_1104_0 = all_980_1
% 237.91/48.21 |
% 237.91/48.21 | SIMP: (1964) implies:
% 237.91/48.21 | (1965) all_1104_0 = all_980_1
% 237.91/48.21 |
% 237.91/48.21 | COMBINE_EQS: (1945), (1947) imply:
% 237.91/48.21 | (1966) all_1096_2 = all_1094_2
% 237.91/48.21 |
% 237.91/48.21 | SIMP: (1966) implies:
% 237.91/48.21 | (1967) all_1096_2 = all_1094_2
% 237.91/48.21 |
% 237.91/48.21 | COMBINE_EQS: (1946), (1947) imply:
% 237.91/48.21 | (1968) all_1094_2 = all_1089_2
% 237.91/48.21 |
% 237.91/48.21 | COMBINE_EQS: (1920), (1926) imply:
% 237.91/48.21 | (1969) all_1098_0 = all_994_0
% 237.91/48.21 |
% 237.91/48.21 | SIMP: (1969) implies:
% 237.91/48.21 | (1970) all_1098_0 = all_994_0
% 237.91/48.21 |
% 237.91/48.21 | COMBINE_EQS: (1239), (1965) imply:
% 237.91/48.21 | (1971) all_1086_1 = all_980_1
% 237.91/48.21 |
% 237.91/48.21 | SIMP: (1971) implies:
% 237.91/48.21 | (1972) all_1086_1 = all_980_1
% 237.91/48.21 |
% 237.91/48.21 | COMBINE_EQS: (1238), (1463) imply:
% 237.91/48.21 | (1973) all_944_0 = all_900_0
% 237.91/48.21 |
% 237.91/48.21 | SIMP: (1973) implies:
% 237.91/48.21 | (1974) all_944_0 = all_900_0
% 237.91/48.21 |
% 237.91/48.21 | COMBINE_EQS: (1175), (1970) imply:
% 237.91/48.21 | (1975) all_1096_2 = all_994_0
% 237.91/48.21 |
% 237.91/48.21 | SIMP: (1975) implies:
% 237.91/48.21 | (1976) all_1096_2 = all_994_0
% 237.91/48.21 |
% 237.91/48.21 | COMBINE_EQS: (1967), (1976) imply:
% 237.91/48.21 | (1977) all_1094_2 = all_994_0
% 237.91/48.21 |
% 237.91/48.21 | SIMP: (1977) implies:
% 237.91/48.21 | (1978) all_1094_2 = all_994_0
% 237.91/48.21 |
% 237.91/48.21 | COMBINE_EQS: (1314), (1315) imply:
% 237.91/48.21 | (1979) all_1025_0 = all_944_1
% 237.91/48.21 |
% 237.91/48.21 | SIMP: (1979) implies:
% 237.91/48.21 | (1980) all_1025_0 = all_944_1
% 237.91/48.21 |
% 237.91/48.21 | COMBINE_EQS: (1968), (1978) imply:
% 237.91/48.21 | (1981) all_1089_2 = all_994_0
% 237.91/48.21 |
% 237.91/48.21 | SIMP: (1981) implies:
% 237.91/48.21 | (1982) all_1089_2 = all_994_0
% 237.91/48.21 |
% 237.91/48.21 | COMBINE_EQS: (1379), (1944) imply:
% 237.91/48.21 | (1983) all_1089_3 = all_924_1
% 237.91/48.21 |
% 237.91/48.21 | SIMP: (1983) implies:
% 237.91/48.21 | (1984) all_1089_3 = all_924_1
% 237.91/48.21 |
% 237.91/48.21 | COMBINE_EQS: (1313), (1955) imply:
% 237.91/48.21 | (1985) all_1083_0 = all_1002_0
% 237.91/48.21 |
% 237.91/48.21 | SIMP: (1985) implies:
% 237.91/48.21 | (1986) all_1083_0 = all_1002_0
% 237.91/48.21 |
% 237.91/48.21 | COMBINE_EQS: (1174), (1982) imply:
% 237.91/48.21 | (1987) all_1072_2 = all_994_0
% 237.91/48.21 |
% 237.91/48.21 | SIMP: (1987) implies:
% 237.91/48.21 | (1988) all_1072_2 = all_994_0
% 237.91/48.21 |
% 237.91/48.21 | COMBINE_EQS: (1378), (1984) imply:
% 237.91/48.21 | (1989) all_1057_0 = all_924_1
% 237.91/48.21 |
% 237.91/48.21 | SIMP: (1989) implies:
% 237.91/48.21 | (1990) all_1057_0 = all_924_1
% 237.91/48.21 |
% 237.91/48.21 | COMBINE_EQS: (1414), (1961) imply:
% 237.91/48.21 | (1991) all_1080_0 = all_1012_0
% 237.91/48.21 |
% 237.91/48.21 | SIMP: (1991) implies:
% 237.91/48.21 | (1992) all_1080_0 = all_1012_0
% 237.91/48.21 |
% 237.91/48.21 | COMBINE_EQS: (1237), (1972) imply:
% 237.91/48.21 | (1993) all_1077_0 = all_980_1
% 237.91/48.21 |
% 237.91/48.21 | SIMP: (1993) implies:
% 237.91/48.21 | (1994) all_1077_0 = all_980_1
% 237.91/48.21 |
% 237.91/48.21 | COMBINE_EQS: (1312), (1986) imply:
% 237.91/48.21 | (1995) all_1074_0 = all_1002_0
% 237.91/48.21 |
% 237.91/48.21 | SIMP: (1995) implies:
% 237.91/48.21 | (1996) all_1074_0 = all_1002_0
% 237.91/48.21 |
% 237.91/48.21 | COMBINE_EQS: (1413), (1992) imply:
% 237.91/48.21 | (1997) all_1052_0 = all_1012_0
% 237.91/48.21 |
% 237.91/48.21 | SIMP: (1997) implies:
% 237.91/48.21 | (1998) all_1052_0 = all_1012_0
% 237.91/48.21 |
% 237.91/48.21 | COMBINE_EQS: (1236), (1994) imply:
% 237.91/48.21 | (1999) all_1060_0 = all_980_1
% 237.91/48.21 |
% 237.91/48.21 | SIMP: (1999) implies:
% 237.91/48.21 | (2000) all_1060_0 = all_980_1
% 237.91/48.21 |
% 237.91/48.21 | COMBINE_EQS: (1311), (1996) imply:
% 237.93/48.21 | (2001) all_1069_0 = all_1002_0
% 237.93/48.21 |
% 237.93/48.21 | SIMP: (2001) implies:
% 237.93/48.21 | (2002) all_1069_0 = all_1002_0
% 237.93/48.21 |
% 237.93/48.21 | COMBINE_EQS: (1309), (1310) imply:
% 237.93/48.21 | (2003) all_948_0 = all_929_0
% 237.93/48.21 |
% 237.93/48.21 | SIMP: (2003) implies:
% 237.93/48.21 | (2004) all_948_0 = all_929_0
% 237.93/48.21 |
% 237.93/48.21 | COMBINE_EQS: (1173), (1988) imply:
% 237.93/48.21 | (2005) all_1014_0 = all_994_0
% 237.93/48.21 |
% 237.93/48.21 | SIMP: (2005) implies:
% 237.93/48.21 | (2006) all_1014_0 = all_994_0
% 237.93/48.21 |
% 237.93/48.21 | COMBINE_EQS: (1308), (2002) imply:
% 237.93/48.21 | (2007) all_1063_0 = all_1002_0
% 237.93/48.21 |
% 237.93/48.21 | SIMP: (2007) implies:
% 237.93/48.21 | (2008) all_1063_0 = all_1002_0
% 237.93/48.21 |
% 237.93/48.21 | COMBINE_EQS: (1306), (1307) imply:
% 237.93/48.21 | (2009) all_1046_0 = all_1025_0
% 237.93/48.21 |
% 237.93/48.21 | COMBINE_EQS: (1305), (1306) imply:
% 237.93/48.21 | (2010) all_1049_0 = all_1046_0
% 237.93/48.21 |
% 237.93/48.21 | SIMP: (2010) implies:
% 237.93/48.21 | (2011) all_1049_0 = all_1046_0
% 237.93/48.21 |
% 237.93/48.21 | COMBINE_EQS: (1304), (2008) imply:
% 237.93/48.21 | (2012) all_1052_2 = all_1002_0
% 237.93/48.21 |
% 237.93/48.21 | SIMP: (2012) implies:
% 237.93/48.21 | (2013) all_1052_2 = all_1002_0
% 237.93/48.21 |
% 237.93/48.21 | COMBINE_EQS: (1235), (2000) imply:
% 237.93/48.21 | (2014) all_1037_0 = all_980_1
% 237.93/48.21 |
% 237.93/48.21 | SIMP: (2014) implies:
% 237.93/48.21 | (2015) all_1037_0 = all_980_1
% 237.93/48.21 |
% 237.93/48.22 | COMBINE_EQS: (1377), (1990) imply:
% 237.93/48.22 | (2016) all_1034_0 = all_924_1
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2016) implies:
% 237.93/48.22 | (2017) all_1034_0 = all_924_1
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1433), (1928) imply:
% 237.93/48.22 | (2018) all_999_0 = all_959_0
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2018) implies:
% 237.93/48.22 | (2019) all_999_0 = all_959_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1432), (1733) imply:
% 237.93/48.22 | (2020) all_1005_0 = all_996_0
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2020) implies:
% 237.93/48.22 | (2021) all_1005_0 = all_996_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1412), (1998) imply:
% 237.93/48.22 | (2022) all_1040_0 = all_1012_0
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2022) implies:
% 237.93/48.22 | (2023) all_1040_0 = all_1012_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1303), (2013) imply:
% 237.93/48.22 | (2024) all_1049_0 = all_1002_0
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2024) implies:
% 237.93/48.22 | (2025) all_1049_0 = all_1002_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2011), (2025) imply:
% 237.93/48.22 | (2026) all_1046_0 = all_1002_0
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2026) implies:
% 237.93/48.22 | (2027) all_1046_0 = all_1002_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2009), (2027) imply:
% 237.93/48.22 | (2028) all_1025_0 = all_1002_0
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2028) implies:
% 237.93/48.22 | (2029) all_1025_0 = all_1002_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1410), (2023) imply:
% 237.93/48.22 | (2030) all_1012_0 = all_980_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1411), (2023) imply:
% 237.93/48.22 | (2031) all_1012_0 = all_898_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1409), (2023) imply:
% 237.93/48.22 | (2032) all_1012_0 = all_992_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1234), (2015) imply:
% 237.93/48.22 | (2033) all_1012_1 = all_980_1
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2033) implies:
% 237.93/48.22 | (2034) all_1012_1 = all_980_1
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1376), (2017) imply:
% 237.93/48.22 | (2035) all_1022_0 = all_924_1
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2035) implies:
% 237.93/48.22 | (2036) all_1022_0 = all_924_1
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1302), (2029) imply:
% 237.93/48.22 | (2037) all_1002_0 = all_987_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1980), (2029) imply:
% 237.93/48.22 | (2038) all_1002_0 = all_944_1
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1375), (2036) imply:
% 237.93/48.22 | (2039) all_1016_0 = all_924_1
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2039) implies:
% 237.93/48.22 | (2040) all_1016_0 = all_924_1
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1374), (2040) imply:
% 237.93/48.22 | (2041) all_1005_1 = all_924_1
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2041) implies:
% 237.93/48.22 | (2042) all_1005_1 = all_924_1
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1172), (2006) imply:
% 237.93/48.22 | (2043) all_994_0 = all_990_1
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2030), (2032) imply:
% 237.93/48.22 | (2044) all_992_0 = all_980_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2031), (2032) imply:
% 237.93/48.22 | (2045) all_992_0 = all_898_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1233), (2034) imply:
% 237.93/48.22 | (2046) all_982_0 = all_980_1
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2046) implies:
% 237.93/48.22 | (2047) all_982_0 = all_980_1
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1431), (2021) imply:
% 237.93/48.22 | (2048) all_996_0 = all_994_1
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1938), (2021) imply:
% 237.93/48.22 | (2049) all_996_0 = all_969_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1373), (2042) imply:
% 237.93/48.22 | (2050) all_985_1 = all_924_1
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2050) implies:
% 237.93/48.22 | (2051) all_985_1 = all_924_1
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2037), (2038) imply:
% 237.93/48.22 | (2052) all_987_0 = all_944_1
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2052) implies:
% 237.93/48.22 | (2053) all_987_0 = all_944_1
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1430), (2019) imply:
% 237.93/48.22 | (2054) all_994_1 = all_959_0
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2054) implies:
% 237.93/48.22 | (2055) all_994_1 = all_959_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2048), (2049) imply:
% 237.93/48.22 | (2056) all_994_1 = all_969_0
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2056) implies:
% 237.93/48.22 | (2057) all_994_1 = all_969_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2055), (2057) imply:
% 237.93/48.22 | (2058) all_969_0 = all_959_0
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2058) implies:
% 237.93/48.22 | (2059) all_969_0 = all_959_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2044), (2045) imply:
% 237.93/48.22 | (2060) all_980_0 = all_898_0
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2060) implies:
% 237.93/48.22 | (2061) all_980_0 = all_898_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1301), (2053) imply:
% 237.93/48.22 | (2062) all_974_0 = all_944_1
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2062) implies:
% 237.93/48.22 | (2063) all_974_0 = all_944_1
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1372), (2051) imply:
% 237.93/48.22 | (2064) all_969_1 = all_924_1
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2064) implies:
% 237.93/48.22 | (2065) all_969_1 = all_924_1
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1232), (2047) imply:
% 237.93/48.22 | (2066) all_980_1 = all_944_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1498), (2047) imply:
% 237.93/48.22 | (2067) all_980_1 = all_896_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1408), (2061) imply:
% 237.93/48.22 | (2068) all_977_0 = all_898_0
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2068) implies:
% 237.93/48.22 | (2069) all_977_0 = all_898_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2066), (2067) imply:
% 237.93/48.22 | (2070) all_944_0 = all_896_0
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2070) implies:
% 237.93/48.22 | (2071) all_944_0 = all_896_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1300), (2063) imply:
% 237.93/48.22 | (2072) all_971_0 = all_944_1
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2072) implies:
% 237.93/48.22 | (2073) all_971_0 = all_944_1
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1299), (2073) imply:
% 237.93/48.22 | (2074) all_961_0 = all_944_1
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2074) implies:
% 237.93/48.22 | (2075) all_961_0 = all_944_1
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1371), (2065) imply:
% 237.93/48.22 | (2076) all_959_1 = all_924_1
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2076) implies:
% 237.93/48.22 | (2077) all_959_1 = all_924_1
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1297), (1298) imply:
% 237.93/48.22 | (2078) all_926_0 = all_915_0
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2078) implies:
% 237.93/48.22 | (2079) all_926_0 = all_915_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1296), (2075) imply:
% 237.93/48.22 | (2080) all_957_0 = all_944_1
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2080) implies:
% 237.93/48.22 | (2081) all_957_0 = all_944_1
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1370), (2077) imply:
% 237.93/48.22 | (2082) all_924_1 = all_904_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1931), (2077) imply:
% 237.93/48.22 | (2083) all_924_1 = all_908_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1295), (2081) imply:
% 237.93/48.22 | (2084) all_954_0 = all_944_1
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2084) implies:
% 237.93/48.22 | (2085) all_954_0 = all_944_1
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1294), (2085) imply:
% 237.93/48.22 | (2086) all_951_0 = all_944_1
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2086) implies:
% 237.93/48.22 | (2087) all_951_0 = all_944_1
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1293), (2087) imply:
% 237.93/48.22 | (2088) all_948_0 = all_944_1
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2088) implies:
% 237.93/48.22 | (2089) all_948_0 = all_944_1
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1292), (2089) imply:
% 237.93/48.22 | (2090) all_944_1 = all_935_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2004), (2089) imply:
% 237.93/48.22 | (2091) all_944_1 = all_929_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1231), (1974) imply:
% 237.93/48.22 | (2092) all_900_0 = all_892_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1974), (2071) imply:
% 237.93/48.22 | (2093) all_900_0 = all_896_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2090), (2091) imply:
% 237.93/48.22 | (2094) all_935_0 = all_929_0
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2094) implies:
% 237.93/48.22 | (2095) all_935_0 = all_929_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1291), (1582) imply:
% 237.93/48.22 | (2096) all_932_0 = all_921_0
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2096) implies:
% 237.93/48.22 | (2097) all_932_0 = all_921_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1289), (1290) imply:
% 237.93/48.22 | (2098) all_932_0 = all_912_0
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2098) implies:
% 237.93/48.22 | (2099) all_932_0 = all_912_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1288), (2095) imply:
% 237.93/48.22 | (2100) all_932_0 = all_929_0
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2100) implies:
% 237.93/48.22 | (2101) all_932_0 = all_929_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1287), (2101) imply:
% 237.93/48.22 | (2102) all_929_0 = all_926_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2097), (2101) imply:
% 237.93/48.22 | (2103) all_929_0 = all_921_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2099), (2101) imply:
% 237.93/48.22 | (2104) all_929_0 = all_912_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2103), (2104) imply:
% 237.93/48.22 | (2105) all_921_0 = all_912_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2102), (2103) imply:
% 237.93/48.22 | (2106) all_926_0 = all_921_0
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2106) implies:
% 237.93/48.22 | (2107) all_926_0 = all_921_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1285), (2079) imply:
% 237.93/48.22 | (2108) all_918_0 = all_915_0
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2108) implies:
% 237.93/48.22 | (2109) all_918_0 = all_915_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1286), (2079) imply:
% 237.93/48.22 | (2110) all_915_0 = all_910_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2079), (2107) imply:
% 237.93/48.22 | (2111) all_921_0 = all_915_0
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2111) implies:
% 237.93/48.22 | (2112) all_921_0 = all_915_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2082), (2083) imply:
% 237.93/48.22 | (2113) all_908_0 = all_904_0
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2113) implies:
% 237.93/48.22 | (2114) all_908_0 = all_904_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2105), (2112) imply:
% 237.93/48.22 | (2115) all_915_0 = all_912_0
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2115) implies:
% 237.93/48.22 | (2116) all_915_0 = all_912_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1754), (2109) imply:
% 237.93/48.22 | (2117) all_915_0 = all_906_0
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2117) implies:
% 237.93/48.22 | (2118) all_915_0 = all_906_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2110), (2116) imply:
% 237.93/48.22 | (2119) all_912_0 = all_910_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2116), (2118) imply:
% 237.93/48.22 | (2120) all_912_0 = all_906_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2119), (2120) imply:
% 237.93/48.22 | (2121) all_910_0 = all_906_0
% 237.93/48.22 |
% 237.93/48.22 | SIMP: (2121) implies:
% 237.93/48.22 | (2122) all_910_0 = all_906_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1929), (2114) imply:
% 237.93/48.22 | (2123) all_904_0 = c_Int_OPls
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1932), (2114) imply:
% 237.93/48.22 | (2124) all_904_0 = all_894_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2123), (2124) imply:
% 237.93/48.22 | (2125) all_894_0 = c_Int_OPls
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2092), (2093) imply:
% 237.93/48.22 | (2126) all_896_0 = all_892_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2105), (2120) imply:
% 237.93/48.22 | (2127) all_921_0 = all_906_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2082), (2123) imply:
% 237.93/48.22 | (2128) all_924_1 = c_Int_OPls
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2103), (2127) imply:
% 237.93/48.22 | (2129) all_929_0 = all_906_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2091), (2129) imply:
% 237.93/48.22 | (2130) all_944_1 = all_906_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2081), (2130) imply:
% 237.93/48.22 | (2131) all_957_0 = all_906_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2077), (2128) imply:
% 237.93/48.22 | (2132) all_959_1 = c_Int_OPls
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2065), (2128) imply:
% 237.93/48.22 | (2133) all_969_1 = c_Int_OPls
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2067), (2126) imply:
% 237.93/48.22 | (2134) all_980_1 = all_892_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2038), (2130) imply:
% 237.93/48.22 | (2135) all_1002_0 = all_906_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2034), (2134) imply:
% 237.93/48.22 | (2136) all_1012_1 = all_892_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2015), (2134) imply:
% 237.93/48.22 | (2137) all_1037_0 = all_892_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (2013), (2135) imply:
% 237.93/48.22 | (2138) all_1052_2 = all_906_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1998), (2031) imply:
% 237.93/48.22 | (2139) all_1052_0 = all_898_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1310), (2129) imply:
% 237.93/48.22 | (2140) all_1072_0 = all_906_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1994), (2134) imply:
% 237.93/48.22 | (2141) all_1077_0 = all_892_0
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1984), (2128) imply:
% 237.93/48.22 | (2142) all_1089_3 = c_Int_OPls
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1982), (2043) imply:
% 237.93/48.22 | (2143) all_1089_2 = all_990_1
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1944), (2128) imply:
% 237.93/48.22 | (2144) all_1094_3 = c_Int_OPls
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1978), (2043) imply:
% 237.93/48.22 | (2145) all_1094_2 = all_990_1
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1976), (2043) imply:
% 237.93/48.22 | (2146) all_1096_2 = all_990_1
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1926), (2043) imply:
% 237.93/48.22 | (2147) all_1107_1 = all_990_1
% 237.93/48.22 |
% 237.93/48.22 | COMBINE_EQS: (1963), (2134) imply:
% 237.93/48.22 | (2148) all_1112_0 = all_892_0
% 237.93/48.22 |
% 237.93/48.23 | COMBINE_EQS: (1934), (2135) imply:
% 237.93/48.23 | (2149) all_1133_1 = all_906_0
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1879), (2145) imply:
% 237.93/48.23 | (2150) all_1148_0 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1917), (2135) imply:
% 237.93/48.23 | (2151) all_1159_2 = all_906_0
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1924), (2043) imply:
% 237.93/48.23 | (2152) all_1165_2 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1922), (2043) imply:
% 237.93/48.23 | (2153) all_1168_2 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1757), (2147) imply:
% 237.93/48.23 | (2154) all_1177_2 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1907), (2135) imply:
% 237.93/48.23 | (2155) all_1189_1 = all_906_0
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1899), (2135) imply:
% 237.93/48.23 | (2156) all_1198_0 = all_906_0
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1895), (2135) imply:
% 237.93/48.23 | (2157) all_1201_1 = all_906_0
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1893), (2135) imply:
% 237.93/48.23 | (2158) all_1207_1 = all_906_0
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1877), (2135) imply:
% 237.93/48.23 | (2159) all_1210_1 = all_906_0
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1873), (2145) imply:
% 237.93/48.23 | (2160) all_1225_0 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1871), (2135) imply:
% 237.93/48.23 | (2161) all_1231_4 = all_906_0
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1851), (2160) imply:
% 237.93/48.23 | (2162) all_1231_1 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1865), (2135) imply:
% 237.93/48.23 | (2163) all_1236_1 = all_906_0
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1833), (2145) imply:
% 237.93/48.23 | (2164) all_1239_4 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1861), (2135) imply:
% 237.93/48.23 | (2165) all_1239_1 = all_906_0
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1849), (2160) imply:
% 237.93/48.23 | (2166) all_1256_2 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1788), (2160) imply:
% 237.93/48.23 | (2167) all_1259_2 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1837), (2135) imply:
% 237.93/48.23 | (2168) all_1271_0 = all_906_0
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1839), (2043) imply:
% 237.93/48.23 | (2169) all_1276_1 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1774), (2043) imply:
% 237.93/48.23 | (2170) all_1279_1 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1829), (2134) imply:
% 237.93/48.23 | (2171) all_1285_0 = all_892_0
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1818), (2135) imply:
% 237.93/48.23 | (2172) all_1288_2 = all_906_0
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1825), (2134) imply:
% 237.93/48.23 | (2173) all_1293_5 = all_892_0
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1574), (2145) imply:
% 237.93/48.23 | (2174) all_1313_1 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1761), (2134) imply:
% 237.93/48.23 | (2175) all_1330_0 = all_892_0
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1544), (2162) imply:
% 237.93/48.23 | (2176) all_1336_2 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1742), (2160) imply:
% 237.93/48.23 | (2177) all_1339_2 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1770), (2043) imply:
% 237.93/48.23 | (2178) all_1360_4 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1765), (2135) imply:
% 237.93/48.23 | (2179) all_1360_1 = all_906_0
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1759), (2043) imply:
% 237.93/48.23 | (2180) all_1363_2 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1580), (2154) imply:
% 237.93/48.23 | (2181) all_1381_2 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1738), (2177) imply:
% 237.93/48.23 | (2182) all_1402_1 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1725), (2182) imply:
% 237.93/48.23 | (2183) all_1408_2 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1666), (2031) imply:
% 237.93/48.23 | (2184) all_1432_0 = all_898_0
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1691), (2182) imply:
% 237.93/48.23 | (2185) all_1438_3 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1681), (2182) imply:
% 237.93/48.23 | (2186) all_1459_1 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1207), (2186) imply:
% 237.93/48.23 | (2187) all_1477_4 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1347), (2156) imply:
% 237.93/48.23 | (2188) all_1515_1 = all_906_0
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1621), (2135) imply:
% 237.93/48.23 | (2189) all_1518_1 = all_906_0
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1639), (2182) imply:
% 237.93/48.23 | (2190) all_1521_1 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1609), (2182) imply:
% 237.93/48.23 | (2191) all_1524_2 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1607), (2168) imply:
% 237.93/48.23 | (2192) all_1527_0 = all_906_0
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1625), (2184) imply:
% 237.93/48.23 | (2193) all_1530_8 = all_898_0
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1601), (2184) imply:
% 237.93/48.23 | (2194) all_1546_0 = all_898_0
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1266), (2134) imply:
% 237.93/48.23 | (2195) all_1552_9 = all_892_0
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1599), (2182) imply:
% 237.93/48.23 | (2196) all_1552_3 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1351), (2192) imply:
% 237.93/48.23 | (2197) all_1554_1 = all_906_0
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1555), (2182) imply:
% 237.93/48.23 | (2198) all_1563_9 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1214), (2154) imply:
% 237.93/48.23 | (2199) all_1580_8 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1216), (2145) imply:
% 237.93/48.23 | (2200) all_1582_8 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1542), (1577) imply:
% 237.93/48.23 | (2201) all_1582_5 = all_1293_4
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1125), (1633) imply:
% 237.93/48.23 | (2202) all_1584_10 = all_1007_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1557), (2194) imply:
% 237.93/48.23 | (2203) all_1584_4 = all_898_0
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1534), (2194) imply:
% 237.93/48.23 | (2204) all_1586_4 = all_898_0
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1519), (2182) imply:
% 237.93/48.23 | (2205) all_1588_2 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1219), (2162) imply:
% 237.93/48.23 | (2206) all_1602_11 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1523), (1577) imply:
% 237.93/48.23 | (2207) all_1602_8 = all_1293_4
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1527), (2194) imply:
% 237.93/48.23 | (2208) all_1604_10 = all_898_0
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1429), (2194) imply:
% 237.93/48.23 | (2209) all_1609_14 = all_898_0
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1510), (1577) imply:
% 237.93/48.23 | (2210) all_1609_9 = all_1293_4
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1221), (2182) imply:
% 237.93/48.23 | (2211) all_1609_4 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1504), (1577) imply:
% 237.93/48.23 | (2212) all_1617_10 = all_1293_4
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1500), (2043) imply:
% 237.93/48.23 | (2213) all_1617_3 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1496), (1577) imply:
% 237.93/48.23 | (2214) all_1619_8 = all_1293_4
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1492), (2043) imply:
% 237.93/48.23 | (2215) all_1619_3 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1488), (1577) imply:
% 237.93/48.23 | (2216) all_1622_8 = all_1293_4
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1484), (2043) imply:
% 237.93/48.23 | (2217) all_1622_3 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1480), (1577) imply:
% 237.93/48.23 | (2218) all_1624_8 = all_1293_4
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1476), (2043) imply:
% 237.93/48.23 | (2219) all_1624_3 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1471), (1577) imply:
% 237.93/48.23 | (2220) all_1627_8 = all_1293_4
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1227), (2043) imply:
% 237.93/48.23 | (2221) all_1627_3 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1229), (2150) imply:
% 237.93/48.23 | (2222) all_1629_17 = all_990_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1171), (1577) imply:
% 237.93/48.23 | (2223) all_1629_14 = all_1293_4
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1134), (1561) imply:
% 237.93/48.23 | (2224) all_1629_8 = all_1007_1
% 237.93/48.23 |
% 237.93/48.23 | COMBINE_EQS: (1279), (2092) imply:
% 237.93/48.23 | (2225) all_1629_4 = all_892_0
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (459), (2144) imply:
% 237.93/48.23 | (2226) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls,
% 237.93/48.23 | all_1094_0) = 0
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (452), (2142) imply:
% 237.93/48.23 | (2227) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls,
% 237.93/48.23 | all_1089_0) = 0
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (354), (2059), (2133) imply:
% 237.93/48.23 | (2228) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls,
% 237.93/48.23 | all_959_0) = 0
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (287), (2125) imply:
% 237.93/48.23 | (2229) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls,
% 237.93/48.23 | c_Int_OPls) = 0
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (392), (2031), (2136) imply:
% 237.93/48.23 | (2230) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_892_0,
% 237.93/48.23 | all_898_0) = 0
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (1045), (1131) imply:
% 237.93/48.23 | (2231) hAPP(v_f____, all_1007_1) = all_1617_13
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (1002), (1525) imply:
% 237.93/48.23 | (2232) hAPP(v_f____, all_1007_1) = all_1604_8
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (963), (1538) imply:
% 237.93/48.23 | (2233) hAPP(v_f____, all_1007_1) = all_1586_9
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (950), (2202) imply:
% 237.93/48.23 | (2234) hAPP(v_f____, all_1007_1) = all_1584_9
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (849), (1561) imply:
% 237.93/48.23 | (2235) hAPP(v_f____, all_1007_1) = all_1530_6
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (665), (1633) imply:
% 237.93/48.23 | (2236) hAPP(v_f____, all_1007_1) = all_1319_3
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (294), (2092) imply:
% 237.93/48.23 | (2237) c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_892_0) =
% 237.93/48.23 | all_892_0
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (1103), (2222) imply:
% 237.93/48.23 | (2238) c_Int_OBit0(all_990_1) = all_1629_16
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (1086), (2221) imply:
% 237.93/48.23 | (2239) c_Int_OBit0(all_990_1) = all_1627_2
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (1075), (2219) imply:
% 237.93/48.23 | (2240) c_Int_OBit0(all_990_1) = all_1624_2
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (1064), (2217) imply:
% 237.93/48.23 | (2241) c_Int_OBit0(all_990_1) = all_1622_2
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (1054), (2215) imply:
% 237.93/48.23 | (2242) c_Int_OBit0(all_990_1) = all_1619_2
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (1042), (2213) imply:
% 237.93/48.23 | (2243) c_Int_OBit0(all_990_1) = all_1617_2
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (1020), (2211) imply:
% 237.93/48.23 | (2244) c_Int_OBit0(all_990_1) = all_1609_3
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (988), (2206) imply:
% 237.93/48.23 | (2245) c_Int_OBit0(all_990_1) = all_1602_10
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (966), (2205) imply:
% 237.93/48.23 | (2246) c_Int_OBit0(all_990_1) = all_1588_1
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (933), (2200) imply:
% 237.93/48.23 | (2247) c_Int_OBit0(all_990_1) = all_1582_7
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (922), (2199) imply:
% 237.93/48.23 | (2248) c_Int_OBit0(all_990_1) = all_1580_7
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (901), (2198) imply:
% 237.93/48.23 | (2249) c_Int_OBit0(all_990_1) = all_1563_8
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (880), (2196) imply:
% 237.93/48.23 | (2250) c_Int_OBit0(all_990_1) = all_1552_2
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (835), (2191) imply:
% 237.93/48.23 | (2251) c_Int_OBit0(all_990_1) = all_1524_1
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (831), (2190) imply:
% 237.93/48.23 | (2252) c_Int_OBit0(all_990_1) = all_1521_0
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (796), (2187) imply:
% 237.93/48.23 | (2253) c_Int_OBit0(all_990_1) = all_1477_3
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (783), (2186) imply:
% 237.93/48.23 | (2254) c_Int_OBit0(all_990_1) = all_1459_0
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (766), (2185) imply:
% 237.93/48.23 | (2255) c_Int_OBit0(all_990_1) = all_1438_2
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (738), (2183) imply:
% 237.93/48.23 | (2256) c_Int_OBit0(all_990_1) = all_1408_1
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (732), (2182) imply:
% 237.93/48.23 | (2257) c_Int_OBit0(all_990_1) = all_1402_0
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (717), (2181) imply:
% 237.93/48.23 | (2258) c_Int_OBit0(all_990_1) = all_1381_1
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (703), (2180) imply:
% 237.93/48.23 | (2259) c_Int_OBit0(all_990_1) = all_1363_1
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (698), (2178) imply:
% 237.93/48.23 | (2260) c_Int_OBit0(all_990_1) = all_1360_3
% 237.93/48.23 |
% 237.93/48.23 | REDUCE: (680), (2176) imply:
% 237.93/48.24 | (2261) c_Int_OBit0(all_990_1) = all_1336_1
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (655), (2174) imply:
% 237.93/48.24 | (2262) c_Int_OBit0(all_990_1) = all_1313_0
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (625), (2170) imply:
% 237.93/48.24 | (2263) c_Int_OBit0(all_990_1) = all_1279_0
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (622), (2169) imply:
% 237.93/48.24 | (2264) c_Int_OBit0(all_990_1) = all_1276_0
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (600), (2167) imply:
% 237.93/48.24 | (2265) c_Int_OBit0(all_990_1) = all_1259_1
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (597), (2166) imply:
% 237.93/48.24 | (2266) c_Int_OBit0(all_990_1) = all_1256_1
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (582), (2164) imply:
% 237.93/48.24 | (2267) c_Int_OBit0(all_990_1) = all_1239_3
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (572), (2162) imply:
% 237.93/48.24 | (2268) c_Int_OBit0(all_990_1) = all_1231_0
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (528), (2154) imply:
% 237.93/48.24 | (2269) c_Int_OBit0(all_990_1) = all_1177_1
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (523), (2153) imply:
% 237.93/48.24 | (2270) c_Int_OBit0(all_990_1) = all_1168_1
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (519), (2152) imply:
% 237.93/48.24 | (2271) c_Int_OBit0(all_990_1) = all_1165_1
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (473), (2147) imply:
% 237.93/48.24 | (2272) c_Int_OBit0(all_990_1) = all_1107_0
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (462), (2146) imply:
% 237.93/48.24 | (2273) c_Int_OBit0(all_990_1) = all_1096_1
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (449), (2143) imply:
% 237.93/48.24 | (2274) c_Int_OBit0(all_990_1) = all_1089_1
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (1100), (2223) imply:
% 237.93/48.24 | (2275) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1293_4) =
% 237.93/48.24 | all_1629_13
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (1083), (2220) imply:
% 237.93/48.24 | (2276) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1293_4) =
% 237.93/48.24 | all_1627_7
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (1072), (2218) imply:
% 237.93/48.24 | (2277) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1293_4) =
% 237.93/48.24 | all_1624_7
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (1061), (2216) imply:
% 237.93/48.24 | (2278) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1293_4) =
% 237.93/48.24 | all_1622_7
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (1051), (2214) imply:
% 237.93/48.24 | (2279) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1293_4) =
% 237.93/48.24 | all_1619_7
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (1037), (2212) imply:
% 237.93/48.24 | (2280) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1293_4) =
% 237.93/48.24 | all_1617_7
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (1017), (2210) imply:
% 237.93/48.24 | (2281) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1293_4) =
% 237.93/48.24 | all_1609_8
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (985), (2207) imply:
% 237.93/48.24 | (2282) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1293_4) =
% 237.93/48.24 | all_1602_7
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (930), (2201) imply:
% 237.93/48.24 | (2283) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1293_4) =
% 237.93/48.24 | all_1582_4
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (919), (1161) imply:
% 237.93/48.24 | (2284) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1293_4) =
% 237.93/48.24 | all_1580_4
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (898), (1577) imply:
% 237.93/48.24 | (2285) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1293_4) =
% 237.93/48.24 | all_1563_5
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (877), (1597) imply:
% 237.93/48.24 | (2286) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1293_4) =
% 237.93/48.24 | all_1552_7
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (1035), (2212) imply:
% 237.93/48.24 | (2287) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1617_11,
% 237.93/48.24 | all_1293_4) = all_1617_9
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (1098), (1159) imply:
% 237.93/48.24 | (2288) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1629_13,
% 237.93/48.24 | all_1139_0) = all_1629_11
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (1081), (1469) imply:
% 237.93/48.24 | (2289) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1627_7,
% 237.93/48.24 | all_1139_0) = all_1627_5
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (1070), (1478) imply:
% 237.93/48.24 | (2290) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1624_7,
% 237.93/48.24 | all_1139_0) = all_1624_5
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (1059), (1486) imply:
% 237.93/48.24 | (2291) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1622_7,
% 237.93/48.24 | all_1139_0) = all_1622_5
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (1049), (1494) imply:
% 237.93/48.24 | (2292) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1619_7,
% 237.93/48.24 | all_1139_0) = all_1619_5
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (1034), (1502) imply:
% 237.93/48.24 | (2293) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1617_7,
% 237.93/48.24 | all_1139_0) = all_1617_5
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (1015), (1514) imply:
% 237.93/48.24 | (2294) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1609_8,
% 237.93/48.24 | all_1139_0) = all_1609_6
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (983), (1536) imply:
% 237.93/48.24 | (2295) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1602_7,
% 237.93/48.24 | all_1139_0) = all_1602_5
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (928), (1565) imply:
% 237.93/48.24 | (2296) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1582_4,
% 237.93/48.24 | all_1139_0) = all_1582_2
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (917), (1570) imply:
% 237.93/48.24 | (2297) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1580_4,
% 237.93/48.24 | all_1139_0) = all_1580_2
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (896), (1576) imply:
% 237.93/48.24 | (2298) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1563_5,
% 237.93/48.24 | all_1139_0) = all_1563_3
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (875), (1603) imply:
% 237.93/48.24 | (2299) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1552_7,
% 237.93/48.24 | all_1139_0) = all_1552_5
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (639), (1808) imply:
% 237.93/48.24 | (2300) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1293_3,
% 237.93/48.24 | all_1139_0) = all_1293_1
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (1012), (2209) imply:
% 237.93/48.24 | (2301) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_898_0,
% 237.93/48.24 | all_1609_11) = all_1609_10
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (999), (2208) imply:
% 237.93/48.24 | (2302) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_898_0,
% 237.93/48.24 | all_1604_2) = all_1604_1
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (998), (2208) imply:
% 237.93/48.24 | (2303) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_898_0,
% 237.93/48.24 | all_1604_6) = all_1604_5
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (957), (2204) imply:
% 237.93/48.24 | (2304) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_898_0,
% 237.93/48.24 | all_1586_2) = all_1586_1
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (944), (2203) imply:
% 237.93/48.24 | (2305) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_898_0,
% 237.93/48.24 | all_1584_2) = all_1584_1
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (847), (2193) imply:
% 237.93/48.24 | (2306) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_898_0,
% 237.93/48.24 | all_1530_1) = all_1530_0
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (846), (2193) imply:
% 237.93/48.24 | (2307) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_898_0,
% 237.93/48.24 | all_1530_4) = all_1530_3
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (996), (1521) imply:
% 237.93/48.24 | (2308) c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1139_0,
% 237.93/48.24 | all_1604_1) = all_1604_0
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (995), (1521) imply:
% 237.93/48.24 | (2309) c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1139_0,
% 237.93/48.24 | all_1604_5) = all_1604_4
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (955), (1548) imply:
% 237.93/48.24 | (2310) c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1139_0,
% 237.93/48.24 | all_1586_1) = all_1586_0
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (942), (1559) imply:
% 237.93/48.24 | (2311) c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1139_0,
% 237.93/48.24 | all_1584_1) = all_1584_0
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (1094), (2224) imply:
% 237.93/48.24 | (2312) c_Nat_OSuc(all_1007_1) = all_1629_7
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (1010), (1512) imply:
% 237.93/48.24 | (2313) c_Nat_OSuc(all_1007_1) = all_1609_12
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (993), (1525) imply:
% 237.93/48.24 | (2314) c_Nat_OSuc(all_1007_1) = all_1604_3
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (979), (1532) imply:
% 237.93/48.24 | (2315) c_Nat_OSuc(all_1007_1) = all_1602_1
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (954), (1538) imply:
% 237.93/48.24 | (2316) c_Nat_OSuc(all_1007_1) = all_1586_3
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (884), (2197) imply:
% 237.93/48.24 | (2317) c_Nat_OSuc(all_906_0) = all_1554_0
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (843), (1561) imply:
% 237.93/48.24 | (2318) c_Nat_OSuc(all_1007_1) = all_1530_2
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (828), (2189) imply:
% 237.93/48.24 | (2319) c_Nat_OSuc(all_906_0) = all_1518_0
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (825), (2188) imply:
% 237.93/48.24 | (2320) c_Nat_OSuc(all_906_0) = all_1515_0
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (697), (2179) imply:
% 237.93/48.24 | (2321) c_Nat_OSuc(all_906_0) = all_1360_0
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (633), (2172) imply:
% 237.93/48.24 | (2322) c_Nat_OSuc(all_906_0) = all_1288_1
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (581), (2165) imply:
% 237.93/48.24 | (2323) c_Nat_OSuc(all_906_0) = all_1239_0
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (578), (2163) imply:
% 237.93/48.24 | (2324) c_Nat_OSuc(all_906_0) = all_1236_0
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (571), (2161) imply:
% 237.93/48.24 | (2325) c_Nat_OSuc(all_906_0) = all_1231_3
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (555), (2159) imply:
% 237.93/48.24 | (2326) c_Nat_OSuc(all_906_0) = all_1210_0
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (552), (2158) imply:
% 237.93/48.24 | (2327) c_Nat_OSuc(all_906_0) = all_1207_0
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (547), (2157) imply:
% 237.93/48.24 | (2328) c_Nat_OSuc(all_906_0) = all_1201_0
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (537), (2155) imply:
% 237.93/48.24 | (2329) c_Nat_OSuc(all_906_0) = all_1189_0
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (513), (2151) imply:
% 237.93/48.24 | (2330) c_Nat_OSuc(all_906_0) = all_1159_1
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (505), (1806) imply:
% 237.93/48.24 | (2331) c_Nat_OSuc(all_1007_1) = all_1151_1
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (493), (2149) imply:
% 237.93/48.24 | (2332) c_Nat_OSuc(all_906_0) = all_1133_0
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (432), (2140) imply:
% 237.93/48.24 | (2333) c_Nat_OSuc(all_906_0) = all_1072_1
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (415), (2138) imply:
% 237.93/48.24 | (2334) c_Nat_OSuc(all_906_0) = all_1052_1
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (340), (2131) imply:
% 237.93/48.24 | (2335) c_Nat_OSuc(all_906_0) = all_957_1
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (414), (2139) imply:
% 237.93/48.24 | (2336) c_RealDef_Oreal(tc_Nat_Onat, all_1052_1) = all_898_0
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (330), (1231), (2130) imply:
% 237.93/48.24 | (2337) c_RealDef_Oreal(tc_Nat_Onat, all_906_0) = all_892_0
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (343), (2132) imply:
% 237.93/48.24 | (2338) c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, all_959_0) =
% 237.93/48.24 | 0
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (315), (2128) imply:
% 237.93/48.24 | (2339) c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OPls) =
% 237.93/48.24 | all_924_0
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (1091), (2225) imply:
% 237.93/48.24 | (2340) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 237.93/48.24 | all_1629_9) = all_1629_3
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (872), (2195) imply:
% 237.93/48.24 | (2341) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 237.93/48.24 | all_1552_0) = 0
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (637), (2173) imply:
% 237.93/48.24 | (2342) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 237.93/48.24 | all_1293_0) = 0
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (868), (1597) imply:
% 237.93/48.24 | (2343) $i(all_1293_4)
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (607), (1827) imply:
% 237.93/48.24 | (2344) $i(all_1139_0)
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (351), (2059) imply:
% 237.93/48.24 | (2345) $i(all_959_0)
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (304), (2122) imply:
% 237.93/48.24 | (2346) $i(all_906_0)
% 237.93/48.24 |
% 237.93/48.24 | REDUCE: (285), (2125) imply:
% 237.93/48.24 | (2347) $i(c_Int_OPls)
% 237.93/48.24 |
% 237.93/48.24 | GROUND_INST: instantiating (275) with all_854_0, all_924_0, c_Int_OPls,
% 237.93/48.24 | c_Int_OPls, tc_Int_Oint, simplifying with (281), (2339) gives:
% 237.93/48.24 | (2348) all_924_0 = all_854_0
% 237.93/48.24 |
% 237.93/48.24 | GROUND_INST: instantiating (257) with all_957_1, all_1133_0, all_906_0,
% 237.93/48.24 | simplifying with (2332), (2335) gives:
% 237.93/48.24 | (2349) all_1133_0 = all_957_1
% 237.93/48.24 |
% 237.93/48.25 | GROUND_INST: instantiating (257) with all_1159_1, all_1189_0, all_906_0,
% 237.93/48.25 | simplifying with (2329), (2330) gives:
% 237.93/48.25 | (2350) all_1189_0 = all_1159_1
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (257) with all_1133_0, all_1189_0, all_906_0,
% 237.93/48.25 | simplifying with (2329), (2332) gives:
% 237.93/48.25 | (2351) all_1189_0 = all_1133_0
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (257) with all_1189_0, all_1210_0, all_906_0,
% 237.93/48.25 | simplifying with (2326), (2329) gives:
% 237.93/48.25 | (2352) all_1210_0 = all_1189_0
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (257) with all_1210_0, all_1231_3, all_906_0,
% 237.93/48.25 | simplifying with (2325), (2326) gives:
% 237.93/48.25 | (2353) all_1231_3 = all_1210_0
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (257) with all_1231_3, all_1236_0, all_906_0,
% 237.93/48.25 | simplifying with (2324), (2325) gives:
% 237.93/48.25 | (2354) all_1236_0 = all_1231_3
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (257) with all_1236_0, all_1239_0, all_906_0,
% 237.93/48.25 | simplifying with (2323), (2324) gives:
% 237.93/48.25 | (2355) all_1239_0 = all_1236_0
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (257) with all_1239_0, all_1288_1, all_906_0,
% 237.93/48.25 | simplifying with (2322), (2323) gives:
% 237.93/48.25 | (2356) all_1288_1 = all_1239_0
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (257) with all_1210_0, all_1360_0, all_906_0,
% 237.93/48.25 | simplifying with (2321), (2326) gives:
% 237.93/48.25 | (2357) all_1360_0 = all_1210_0
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (257) with all_1360_0, all_1515_0, all_906_0,
% 237.93/48.25 | simplifying with (2320), (2321) gives:
% 237.93/48.25 | (2358) all_1515_0 = all_1360_0
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (257) with all_1072_1, all_1515_0, all_906_0,
% 237.93/48.25 | simplifying with (2320), (2333) gives:
% 237.93/48.25 | (2359) all_1515_0 = all_1072_1
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (257) with all_1288_1, all_1518_0, all_906_0,
% 237.93/48.25 | simplifying with (2319), (2322) gives:
% 237.93/48.25 | (2360) all_1518_0 = all_1288_1
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (257) with all_1207_0, all_1518_0, all_906_0,
% 237.93/48.25 | simplifying with (2319), (2327) gives:
% 237.93/48.25 | (2361) all_1518_0 = all_1207_0
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (257) with all_1201_0, all_1554_0, all_906_0,
% 237.93/48.25 | simplifying with (2317), (2328) gives:
% 237.93/48.25 | (2362) all_1554_0 = all_1201_0
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (257) with all_1133_0, all_1554_0, all_906_0,
% 237.93/48.25 | simplifying with (2317), (2332) gives:
% 237.93/48.25 | (2363) all_1554_0 = all_1133_0
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (257) with all_1052_1, all_1554_0, all_906_0,
% 237.93/48.25 | simplifying with (2317), (2334) gives:
% 237.93/48.25 | (2364) all_1554_0 = all_1052_1
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (257) with all_1151_1, all_1586_3, all_1007_1,
% 237.93/48.25 | simplifying with (2316), (2331) gives:
% 237.93/48.25 | (2365) all_1586_3 = all_1151_1
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (257) with all_1586_3, all_1602_1, all_1007_1,
% 237.93/48.25 | simplifying with (2315), (2316) gives:
% 237.93/48.25 | (2366) all_1602_1 = all_1586_3
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (257) with all_1609_12, all_1629_7, all_1007_1,
% 237.93/48.25 | simplifying with (2312), (2313) gives:
% 237.93/48.25 | (2367) all_1629_7 = all_1609_12
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (257) with all_1604_3, all_1629_7, all_1007_1,
% 237.93/48.25 | simplifying with (2312), (2314) gives:
% 237.93/48.25 | (2368) all_1629_7 = all_1604_3
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (257) with all_1602_1, all_1629_7, all_1007_1,
% 237.93/48.25 | simplifying with (2312), (2315) gives:
% 237.93/48.25 | (2369) all_1629_7 = all_1602_1
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (257) with all_1530_2, all_1629_7, all_1007_1,
% 237.93/48.25 | simplifying with (2312), (2318) gives:
% 237.93/48.25 | (2370) all_1629_7 = all_1530_2
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (271) with all_1563_5, all_1580_4, all_1293_4,
% 237.93/48.25 | tc_Complex_Ocomplex, simplifying with (2284), (2285) gives:
% 237.93/48.25 | (2371) all_1580_4 = all_1563_5
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (271) with all_1580_4, all_1602_7, all_1293_4,
% 237.93/48.25 | tc_Complex_Ocomplex, simplifying with (2282), (2284) gives:
% 237.93/48.25 | (2372) all_1602_7 = all_1580_4
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (271) with all_1602_7, all_1609_8, all_1293_4,
% 237.93/48.25 | tc_Complex_Ocomplex, simplifying with (2281), (2282) gives:
% 237.93/48.25 | (2373) all_1609_8 = all_1602_7
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (271) with all_1563_5, all_1617_7, all_1293_4,
% 237.93/48.25 | tc_Complex_Ocomplex, simplifying with (2280), (2285) gives:
% 237.93/48.25 | (2374) all_1617_7 = all_1563_5
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (271) with all_1609_8, all_1619_7, all_1293_4,
% 237.93/48.25 | tc_Complex_Ocomplex, simplifying with (2279), (2281) gives:
% 237.93/48.25 | (2375) all_1619_7 = all_1609_8
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (271) with all_1602_7, all_1622_7, all_1293_4,
% 237.93/48.25 | tc_Complex_Ocomplex, simplifying with (2278), (2282) gives:
% 237.93/48.25 | (2376) all_1622_7 = all_1602_7
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (271) with all_1582_4, all_1622_7, all_1293_4,
% 237.93/48.25 | tc_Complex_Ocomplex, simplifying with (2278), (2283) gives:
% 237.93/48.25 | (2377) all_1622_7 = all_1582_4
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (271) with all_1619_7, all_1624_7, all_1293_4,
% 237.93/48.25 | tc_Complex_Ocomplex, simplifying with (2277), (2279) gives:
% 237.93/48.25 | (2378) all_1624_7 = all_1619_7
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (271) with all_1293_3, all_1627_7, all_1293_4,
% 237.93/48.25 | tc_Complex_Ocomplex, simplifying with (641), (2276) gives:
% 237.93/48.25 | (2379) all_1627_7 = all_1293_3
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (271) with all_1617_7, all_1627_7, all_1293_4,
% 237.93/48.25 | tc_Complex_Ocomplex, simplifying with (2276), (2280) gives:
% 237.93/48.25 | (2380) all_1627_7 = all_1617_7
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (271) with all_1624_7, all_1629_13, all_1293_4,
% 237.93/48.25 | tc_Complex_Ocomplex, simplifying with (2275), (2277) gives:
% 237.93/48.25 | (2381) all_1629_13 = all_1624_7
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (271) with all_1552_7, all_1629_13, all_1293_4,
% 237.93/48.25 | tc_Complex_Ocomplex, simplifying with (2275), (2286) gives:
% 237.93/48.25 | (2382) all_1629_13 = all_1552_7
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1107_0, all_1165_1, all_990_1,
% 237.93/48.25 | simplifying with (2271), (2272) gives:
% 237.93/48.25 | (2383) all_1165_1 = all_1107_0
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1165_1, all_1177_1, all_990_1,
% 237.93/48.25 | simplifying with (2269), (2271) gives:
% 237.93/48.25 | (2384) all_1177_1 = all_1165_1
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1107_0, all_1231_0, all_990_1,
% 237.93/48.25 | simplifying with (2268), (2272) gives:
% 237.93/48.25 | (2385) all_1231_0 = all_1107_0
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1096_1, all_1231_0, all_990_1,
% 237.93/48.25 | simplifying with (2268), (2273) gives:
% 237.93/48.25 | (2386) all_1231_0 = all_1096_1
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1231_0, all_1256_1, all_990_1,
% 237.93/48.25 | simplifying with (2266), (2268) gives:
% 237.93/48.25 | (2387) all_1256_1 = all_1231_0
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1177_1, all_1259_1, all_990_1,
% 237.93/48.25 | simplifying with (2265), (2269) gives:
% 237.93/48.25 | (2388) all_1259_1 = all_1177_1
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1089_1, all_1259_1, all_990_1,
% 237.93/48.25 | simplifying with (2265), (2274) gives:
% 237.93/48.25 | (2389) all_1259_1 = all_1089_1
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1256_1, all_1276_0, all_990_1,
% 237.93/48.25 | simplifying with (2264), (2266) gives:
% 237.93/48.25 | (2390) all_1276_0 = all_1256_1
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1360_3, all_1408_1, all_990_1,
% 237.93/48.25 | simplifying with (2256), (2260) gives:
% 237.93/48.25 | (2391) all_1408_1 = all_1360_3
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1408_1, all_1438_2, all_990_1,
% 237.93/48.25 | simplifying with (2255), (2256) gives:
% 237.93/48.25 | (2392) all_1438_2 = all_1408_1
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1381_1, all_1459_0, all_990_1,
% 237.93/48.25 | simplifying with (2254), (2258) gives:
% 237.93/48.25 | (2393) all_1459_0 = all_1381_1
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1438_2, all_1477_3, all_990_1,
% 237.93/48.25 | simplifying with (2253), (2255) gives:
% 237.93/48.25 | (2394) all_1477_3 = all_1438_2
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1477_3, all_1521_0, all_990_1,
% 237.93/48.25 | simplifying with (2252), (2253) gives:
% 237.93/48.25 | (2395) all_1521_0 = all_1477_3
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1459_0, all_1524_1, all_990_1,
% 237.93/48.25 | simplifying with (2251), (2254) gives:
% 237.93/48.25 | (2396) all_1524_1 = all_1459_0
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1363_1, all_1524_1, all_990_1,
% 237.93/48.25 | simplifying with (2251), (2259) gives:
% 237.93/48.25 | (2397) all_1524_1 = all_1363_1
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1239_3, all_1552_2, all_990_1,
% 237.93/48.25 | simplifying with (2250), (2267) gives:
% 237.93/48.25 | (2398) all_1552_2 = all_1239_3
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1552_2, all_1563_8, all_990_1,
% 237.93/48.25 | simplifying with (2249), (2250) gives:
% 237.93/48.25 | (2399) all_1563_8 = all_1552_2
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1402_0, all_1563_8, all_990_1,
% 237.93/48.25 | simplifying with (2249), (2257) gives:
% 237.93/48.25 | (2400) all_1563_8 = all_1402_0
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1381_1, all_1563_8, all_990_1,
% 237.93/48.25 | simplifying with (2249), (2258) gives:
% 237.93/48.25 | (2401) all_1563_8 = all_1381_1
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1521_0, all_1580_7, all_990_1,
% 237.93/48.25 | simplifying with (2248), (2252) gives:
% 237.93/48.25 | (2402) all_1580_7 = all_1521_0
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1580_7, all_1582_7, all_990_1,
% 237.93/48.25 | simplifying with (2247), (2248) gives:
% 237.93/48.25 | (2403) all_1582_7 = all_1580_7
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1582_7, all_1602_10, all_990_1,
% 237.93/48.25 | simplifying with (2245), (2247) gives:
% 237.93/48.25 | (2404) all_1602_10 = all_1582_7
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1602_10, all_1609_3, all_990_1,
% 237.93/48.25 | simplifying with (2244), (2245) gives:
% 237.93/48.25 | (2405) all_1609_3 = all_1602_10
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1381_1, all_1617_2, all_990_1,
% 237.93/48.25 | simplifying with (2243), (2258) gives:
% 237.93/48.25 | (2406) all_1617_2 = all_1381_1
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1256_1, all_1617_2, all_990_1,
% 237.93/48.25 | simplifying with (2243), (2266) gives:
% 237.93/48.25 | (2407) all_1617_2 = all_1256_1
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1609_3, all_1619_2, all_990_1,
% 237.93/48.25 | simplifying with (2242), (2244) gives:
% 237.93/48.25 | (2408) all_1619_2 = all_1609_3
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1617_2, all_1622_2, all_990_1,
% 237.93/48.25 | simplifying with (2241), (2243) gives:
% 237.93/48.25 | (2409) all_1622_2 = all_1617_2
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1336_1, all_1622_2, all_990_1,
% 237.93/48.25 | simplifying with (2241), (2261) gives:
% 237.93/48.25 | (2410) all_1622_2 = all_1336_1
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1360_3, all_1624_2, all_990_1,
% 237.93/48.25 | simplifying with (2240), (2260) gives:
% 237.93/48.25 | (2411) all_1624_2 = all_1360_3
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1313_0, all_1624_2, all_990_1,
% 237.93/48.25 | simplifying with (2240), (2262) gives:
% 237.93/48.25 | (2412) all_1624_2 = all_1313_0
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1624_2, all_1627_2, all_990_1,
% 237.93/48.25 | simplifying with (2239), (2240) gives:
% 237.93/48.25 | (2413) all_1627_2 = all_1624_2
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1588_1, all_1627_2, all_990_1,
% 237.93/48.25 | simplifying with (2239), (2246) gives:
% 237.93/48.25 | (2414) all_1627_2 = all_1588_1
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1279_0, all_1627_2, all_990_1,
% 237.93/48.25 | simplifying with (2239), (2263) gives:
% 237.93/48.25 | (2415) all_1627_2 = all_1279_0
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1276_0, all_1627_2, all_990_1,
% 237.93/48.25 | simplifying with (2239), (2264) gives:
% 237.93/48.25 | (2416) all_1627_2 = all_1276_0
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1619_2, all_1629_16, all_990_1,
% 237.93/48.25 | simplifying with (2238), (2242) gives:
% 237.93/48.25 | (2417) all_1629_16 = all_1619_2
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (258) with all_1168_1, all_1629_16, all_990_1,
% 237.93/48.25 | simplifying with (2238), (2270) gives:
% 237.93/48.25 | (2418) all_1629_16 = all_1168_1
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (274) with all_1319_3, all_1530_6, all_1007_1,
% 237.93/48.25 | v_f____, simplifying with (2235), (2236) gives:
% 237.93/48.25 | (2419) all_1530_6 = all_1319_3
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (274) with all_1007_0, all_1586_9, all_1007_1,
% 237.93/48.25 | v_f____, simplifying with (388), (2233) gives:
% 237.93/48.25 | (2420) all_1586_9 = all_1007_0
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (274) with all_1530_6, all_1586_9, all_1007_1,
% 237.93/48.25 | v_f____, simplifying with (2233), (2235) gives:
% 237.93/48.25 | (2421) all_1586_9 = all_1530_6
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (274) with all_1586_9, all_1604_8, all_1007_1,
% 237.93/48.25 | v_f____, simplifying with (2232), (2233) gives:
% 237.93/48.25 | (2422) all_1604_8 = all_1586_9
% 237.93/48.25 |
% 237.93/48.25 | GROUND_INST: instantiating (274) with all_1604_8, all_1617_13, all_1007_1,
% 237.93/48.25 | v_f____, simplifying with (2231), (2232) gives:
% 237.93/48.26 | (2423) all_1617_13 = all_1604_8
% 237.93/48.26 |
% 237.93/48.26 | GROUND_INST: instantiating (274) with all_1584_9, all_1617_13, all_1007_1,
% 237.93/48.26 | v_f____, simplifying with (2231), (2234) gives:
% 237.93/48.26 | (2424) all_1617_13 = all_1584_9
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2367), (2370) imply:
% 237.93/48.26 | (2425) all_1609_12 = all_1530_2
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2367), (2369) imply:
% 237.93/48.26 | (2426) all_1609_12 = all_1602_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2367), (2368) imply:
% 237.93/48.26 | (2427) all_1609_12 = all_1604_3
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2381), (2382) imply:
% 237.93/48.26 | (2428) all_1624_7 = all_1552_7
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2428) implies:
% 237.93/48.26 | (2429) all_1624_7 = all_1552_7
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2417), (2418) imply:
% 237.93/48.26 | (2430) all_1619_2 = all_1168_1
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2430) implies:
% 237.93/48.26 | (2431) all_1619_2 = all_1168_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2413), (2414) imply:
% 237.93/48.26 | (2432) all_1624_2 = all_1588_1
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2432) implies:
% 237.93/48.26 | (2433) all_1624_2 = all_1588_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2414), (2415) imply:
% 237.93/48.26 | (2434) all_1588_1 = all_1279_0
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2414), (2416) imply:
% 237.93/48.26 | (2435) all_1588_1 = all_1276_0
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2379), (2380) imply:
% 237.93/48.26 | (2436) all_1617_7 = all_1293_3
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2436) implies:
% 237.93/48.26 | (2437) all_1617_7 = all_1293_3
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2412), (2433) imply:
% 237.93/48.26 | (2438) all_1588_1 = all_1313_0
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2438) implies:
% 237.93/48.26 | (2439) all_1588_1 = all_1313_0
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2411), (2412) imply:
% 237.93/48.26 | (2440) all_1360_3 = all_1313_0
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2440) implies:
% 237.93/48.26 | (2441) all_1360_3 = all_1313_0
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2378), (2429) imply:
% 237.93/48.26 | (2442) all_1619_7 = all_1552_7
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2442) implies:
% 237.93/48.26 | (2443) all_1619_7 = all_1552_7
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2409), (2410) imply:
% 237.93/48.26 | (2444) all_1617_2 = all_1336_1
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2444) implies:
% 237.93/48.26 | (2445) all_1617_2 = all_1336_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2376), (2377) imply:
% 237.93/48.26 | (2446) all_1602_7 = all_1582_4
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2446) implies:
% 237.93/48.26 | (2447) all_1602_7 = all_1582_4
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2408), (2431) imply:
% 237.93/48.26 | (2448) all_1609_3 = all_1168_1
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2448) implies:
% 237.93/48.26 | (2449) all_1609_3 = all_1168_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2375), (2443) imply:
% 237.93/48.26 | (2450) all_1609_8 = all_1552_7
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2450) implies:
% 237.93/48.26 | (2451) all_1609_8 = all_1552_7
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2406), (2445) imply:
% 237.93/48.26 | (2452) all_1381_1 = all_1336_1
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2452) implies:
% 237.93/48.26 | (2453) all_1381_1 = all_1336_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2407), (2445) imply:
% 237.93/48.26 | (2454) all_1336_1 = all_1256_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2374), (2437) imply:
% 237.93/48.26 | (2455) all_1563_5 = all_1293_3
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2455) implies:
% 237.93/48.26 | (2456) all_1563_5 = all_1293_3
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2423), (2424) imply:
% 237.93/48.26 | (2457) all_1604_8 = all_1584_9
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2457) implies:
% 237.93/48.26 | (2458) all_1604_8 = all_1584_9
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2405), (2449) imply:
% 237.93/48.26 | (2459) all_1602_10 = all_1168_1
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2459) implies:
% 237.93/48.26 | (2460) all_1602_10 = all_1168_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2373), (2451) imply:
% 237.93/48.26 | (2461) all_1602_7 = all_1552_7
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2461) implies:
% 237.93/48.26 | (2462) all_1602_7 = all_1552_7
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2426), (2427) imply:
% 237.93/48.26 | (2463) all_1604_3 = all_1602_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2425), (2427) imply:
% 237.93/48.26 | (2464) all_1604_3 = all_1530_2
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2463), (2464) imply:
% 237.93/48.26 | (2465) all_1602_1 = all_1530_2
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2465) implies:
% 237.93/48.26 | (2466) all_1602_1 = all_1530_2
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2422), (2458) imply:
% 237.93/48.26 | (2467) all_1586_9 = all_1584_9
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2467) implies:
% 237.93/48.26 | (2468) all_1586_9 = all_1584_9
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2366), (2466) imply:
% 237.93/48.26 | (2469) all_1586_3 = all_1530_2
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2469) implies:
% 237.93/48.26 | (2470) all_1586_3 = all_1530_2
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2372), (2447) imply:
% 237.93/48.26 | (2471) all_1582_4 = all_1580_4
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2447), (2462) imply:
% 237.93/48.26 | (2472) all_1582_4 = all_1552_7
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2404), (2460) imply:
% 237.93/48.26 | (2473) all_1582_7 = all_1168_1
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2473) implies:
% 237.93/48.26 | (2474) all_1582_7 = all_1168_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2434), (2435) imply:
% 237.93/48.26 | (2475) all_1279_0 = all_1276_0
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2434), (2439) imply:
% 237.93/48.26 | (2476) all_1313_0 = all_1279_0
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2476) implies:
% 237.93/48.26 | (2477) all_1313_0 = all_1279_0
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2365), (2470) imply:
% 237.93/48.26 | (2478) all_1530_2 = all_1151_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2421), (2468) imply:
% 237.93/48.26 | (2479) all_1584_9 = all_1530_6
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2420), (2468) imply:
% 237.93/48.26 | (2480) all_1584_9 = all_1007_0
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2479), (2480) imply:
% 237.93/48.26 | (2481) all_1530_6 = all_1007_0
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2481) implies:
% 237.93/48.26 | (2482) all_1530_6 = all_1007_0
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2471), (2472) imply:
% 237.93/48.26 | (2483) all_1580_4 = all_1552_7
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2483) implies:
% 237.93/48.26 | (2484) all_1580_4 = all_1552_7
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2403), (2474) imply:
% 237.93/48.26 | (2485) all_1580_7 = all_1168_1
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2485) implies:
% 237.93/48.26 | (2486) all_1580_7 = all_1168_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2371), (2484) imply:
% 237.93/48.26 | (2487) all_1563_5 = all_1552_7
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2487) implies:
% 237.93/48.26 | (2488) all_1563_5 = all_1552_7
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2402), (2486) imply:
% 237.93/48.26 | (2489) all_1521_0 = all_1168_1
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2489) implies:
% 237.93/48.26 | (2490) all_1521_0 = all_1168_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2456), (2488) imply:
% 237.93/48.26 | (2491) all_1552_7 = all_1293_3
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2399), (2400) imply:
% 237.93/48.26 | (2492) all_1552_2 = all_1402_0
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2492) implies:
% 237.93/48.26 | (2493) all_1552_2 = all_1402_0
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2400), (2401) imply:
% 237.93/48.26 | (2494) all_1402_0 = all_1381_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2362), (2364) imply:
% 237.93/48.26 | (2495) all_1201_0 = all_1052_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2362), (2363) imply:
% 237.93/48.26 | (2496) all_1201_0 = all_1133_0
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2398), (2493) imply:
% 237.93/48.26 | (2497) all_1402_0 = all_1239_3
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2497) implies:
% 237.93/48.26 | (2498) all_1402_0 = all_1239_3
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2419), (2482) imply:
% 237.93/48.26 | (2499) all_1319_3 = all_1007_0
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2499) implies:
% 237.93/48.26 | (2500) all_1319_3 = all_1007_0
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2396), (2397) imply:
% 237.93/48.26 | (2501) all_1459_0 = all_1363_1
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2501) implies:
% 237.93/48.26 | (2502) all_1459_0 = all_1363_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2395), (2490) imply:
% 237.93/48.26 | (2503) all_1477_3 = all_1168_1
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2503) implies:
% 237.93/48.26 | (2504) all_1477_3 = all_1168_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2360), (2361) imply:
% 237.93/48.26 | (2505) all_1288_1 = all_1207_0
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2505) implies:
% 237.93/48.26 | (2506) all_1288_1 = all_1207_0
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2358), (2359) imply:
% 237.93/48.26 | (2507) all_1360_0 = all_1072_1
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2507) implies:
% 237.93/48.26 | (2508) all_1360_0 = all_1072_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2394), (2504) imply:
% 237.93/48.26 | (2509) all_1438_2 = all_1168_1
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2509) implies:
% 237.93/48.26 | (2510) all_1438_2 = all_1168_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2393), (2502) imply:
% 237.93/48.26 | (2511) all_1381_1 = all_1363_1
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2511) implies:
% 237.93/48.26 | (2512) all_1381_1 = all_1363_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2392), (2510) imply:
% 237.93/48.26 | (2513) all_1408_1 = all_1168_1
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2513) implies:
% 237.93/48.26 | (2514) all_1408_1 = all_1168_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2391), (2514) imply:
% 237.93/48.26 | (2515) all_1360_3 = all_1168_1
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2515) implies:
% 237.93/48.26 | (2516) all_1360_3 = all_1168_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2494), (2498) imply:
% 237.93/48.26 | (2517) all_1381_1 = all_1239_3
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2517) implies:
% 237.93/48.26 | (2518) all_1381_1 = all_1239_3
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2453), (2512) imply:
% 237.93/48.26 | (2519) all_1363_1 = all_1336_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2512), (2518) imply:
% 237.93/48.26 | (2520) all_1363_1 = all_1239_3
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2519), (2520) imply:
% 237.93/48.26 | (2521) all_1336_1 = all_1239_3
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2521) implies:
% 237.93/48.26 | (2522) all_1336_1 = all_1239_3
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2357), (2508) imply:
% 237.93/48.26 | (2523) all_1210_0 = all_1072_1
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2523) implies:
% 237.93/48.26 | (2524) all_1210_0 = all_1072_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2441), (2516) imply:
% 237.93/48.26 | (2525) all_1313_0 = all_1168_1
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2525) implies:
% 237.93/48.26 | (2526) all_1313_0 = all_1168_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2454), (2522) imply:
% 237.93/48.26 | (2527) all_1256_1 = all_1239_3
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2527) implies:
% 237.93/48.26 | (2528) all_1256_1 = all_1239_3
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2477), (2526) imply:
% 237.93/48.26 | (2529) all_1279_0 = all_1168_1
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2529) implies:
% 237.93/48.26 | (2530) all_1279_0 = all_1168_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2356), (2506) imply:
% 237.93/48.26 | (2531) all_1239_0 = all_1207_0
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2531) implies:
% 237.93/48.26 | (2532) all_1239_0 = all_1207_0
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2475), (2530) imply:
% 237.93/48.26 | (2533) all_1276_0 = all_1168_1
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2533) implies:
% 237.93/48.26 | (2534) all_1276_0 = all_1168_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2390), (2534) imply:
% 237.93/48.26 | (2535) all_1256_1 = all_1168_1
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2535) implies:
% 237.93/48.26 | (2536) all_1256_1 = all_1168_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2388), (2389) imply:
% 237.93/48.26 | (2537) all_1177_1 = all_1089_1
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2537) implies:
% 237.93/48.26 | (2538) all_1177_1 = all_1089_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2387), (2528) imply:
% 237.93/48.26 | (2539) all_1239_3 = all_1231_0
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2528), (2536) imply:
% 237.93/48.26 | (2540) all_1239_3 = all_1168_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2355), (2532) imply:
% 237.93/48.26 | (2541) all_1236_0 = all_1207_0
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2541) implies:
% 237.93/48.26 | (2542) all_1236_0 = all_1207_0
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2539), (2540) imply:
% 237.93/48.26 | (2543) all_1231_0 = all_1168_1
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2543) implies:
% 237.93/48.26 | (2544) all_1231_0 = all_1168_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2354), (2542) imply:
% 237.93/48.26 | (2545) all_1231_3 = all_1207_0
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2545) implies:
% 237.93/48.26 | (2546) all_1231_3 = all_1207_0
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2386), (2544) imply:
% 237.93/48.26 | (2547) all_1168_1 = all_1096_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2385), (2544) imply:
% 237.93/48.26 | (2548) all_1168_1 = all_1107_0
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2353), (2546) imply:
% 237.93/48.26 | (2549) all_1210_0 = all_1207_0
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2549) implies:
% 237.93/48.26 | (2550) all_1210_0 = all_1207_0
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2352), (2550) imply:
% 237.93/48.26 | (2551) all_1207_0 = all_1189_0
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2524), (2550) imply:
% 237.93/48.26 | (2552) all_1207_0 = all_1072_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2551), (2552) imply:
% 237.93/48.26 | (2553) all_1189_0 = all_1072_1
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2553) implies:
% 237.93/48.26 | (2554) all_1189_0 = all_1072_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2495), (2496) imply:
% 237.93/48.26 | (2555) all_1133_0 = all_1052_1
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2555) implies:
% 237.93/48.26 | (2556) all_1133_0 = all_1052_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2350), (2351) imply:
% 237.93/48.26 | (2557) all_1159_1 = all_1133_0
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2350), (2554) imply:
% 237.93/48.26 | (2558) all_1159_1 = all_1072_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2384), (2538) imply:
% 237.93/48.26 | (2559) all_1165_1 = all_1089_1
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2559) implies:
% 237.93/48.26 | (2560) all_1165_1 = all_1089_1
% 237.93/48.26 |
% 237.93/48.26 | COMBINE_EQS: (2547), (2548) imply:
% 237.93/48.26 | (2561) all_1107_0 = all_1096_1
% 237.93/48.26 |
% 237.93/48.26 | SIMP: (2561) implies:
% 237.93/48.26 | (2562) all_1107_0 = all_1096_1
% 237.93/48.26 |
% 237.93/48.27 | COMBINE_EQS: (2383), (2560) imply:
% 237.93/48.27 | (2563) all_1107_0 = all_1089_1
% 237.93/48.27 |
% 237.93/48.27 | SIMP: (2563) implies:
% 237.93/48.27 | (2564) all_1107_0 = all_1089_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2557), (2558) imply:
% 237.93/48.27 | (2565) all_1133_0 = all_1072_1
% 237.93/48.27 |
% 237.93/48.27 | SIMP: (2565) implies:
% 237.93/48.27 | (2566) all_1133_0 = all_1072_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2349), (2566) imply:
% 237.93/48.27 | (2567) all_1072_1 = all_957_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2556), (2566) imply:
% 237.93/48.27 | (2568) all_1072_1 = all_1052_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2562), (2564) imply:
% 237.93/48.27 | (2569) all_1096_1 = all_1089_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2567), (2568) imply:
% 237.93/48.27 | (2570) all_1052_1 = all_957_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2547), (2569) imply:
% 237.93/48.27 | (2571) all_1168_1 = all_1089_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2540), (2571) imply:
% 237.93/48.27 | (2572) all_1239_3 = all_1089_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2530), (2571) imply:
% 237.93/48.27 | (2573) all_1279_0 = all_1089_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2526), (2571) imply:
% 237.93/48.27 | (2574) all_1313_0 = all_1089_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2522), (2572) imply:
% 237.93/48.27 | (2575) all_1336_1 = all_1089_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2520), (2572) imply:
% 237.93/48.27 | (2576) all_1363_1 = all_1089_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2512), (2576) imply:
% 237.93/48.27 | (2577) all_1381_1 = all_1089_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2498), (2572) imply:
% 237.93/48.27 | (2578) all_1402_0 = all_1089_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2514), (2571) imply:
% 237.93/48.27 | (2579) all_1408_1 = all_1089_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2510), (2571) imply:
% 237.93/48.27 | (2580) all_1438_2 = all_1089_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2397), (2576) imply:
% 237.93/48.27 | (2581) all_1524_1 = all_1089_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2398), (2572) imply:
% 237.93/48.27 | (2582) all_1552_2 = all_1089_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2400), (2578) imply:
% 237.93/48.27 | (2583) all_1563_8 = all_1089_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2486), (2571) imply:
% 237.93/48.27 | (2584) all_1580_7 = all_1089_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2484), (2491) imply:
% 237.93/48.27 | (2585) all_1580_4 = all_1293_3
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2474), (2571) imply:
% 237.93/48.27 | (2586) all_1582_7 = all_1089_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2472), (2491) imply:
% 237.93/48.27 | (2587) all_1582_4 = all_1293_3
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2434), (2573) imply:
% 237.93/48.27 | (2588) all_1588_1 = all_1089_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2460), (2571) imply:
% 237.93/48.27 | (2589) all_1602_10 = all_1089_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2447), (2587) imply:
% 237.93/48.27 | (2590) all_1602_7 = all_1293_3
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2466), (2478) imply:
% 237.93/48.27 | (2591) all_1602_1 = all_1151_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2458), (2480) imply:
% 237.93/48.27 | (2592) all_1604_8 = all_1007_0
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2464), (2478) imply:
% 237.93/48.27 | (2593) all_1604_3 = all_1151_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2427), (2593) imply:
% 237.93/48.27 | (2594) all_1609_12 = all_1151_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2451), (2491) imply:
% 237.93/48.27 | (2595) all_1609_8 = all_1293_3
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2449), (2571) imply:
% 237.93/48.27 | (2596) all_1609_3 = all_1089_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2424), (2480) imply:
% 237.93/48.27 | (2597) all_1617_13 = all_1007_0
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2445), (2575) imply:
% 237.93/48.27 | (2598) all_1617_2 = all_1089_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2443), (2491) imply:
% 237.93/48.27 | (2599) all_1619_7 = all_1293_3
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2431), (2571) imply:
% 237.93/48.27 | (2600) all_1619_2 = all_1089_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2377), (2587) imply:
% 237.93/48.27 | (2601) all_1622_7 = all_1293_3
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2410), (2575) imply:
% 237.93/48.27 | (2602) all_1622_2 = all_1089_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2429), (2491) imply:
% 237.93/48.27 | (2603) all_1624_7 = all_1293_3
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2412), (2574) imply:
% 237.93/48.27 | (2604) all_1624_2 = all_1089_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2414), (2588) imply:
% 237.93/48.27 | (2605) all_1627_2 = all_1089_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2418), (2571) imply:
% 237.93/48.27 | (2606) all_1629_16 = all_1089_1
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2382), (2491) imply:
% 237.93/48.27 | (2607) all_1629_13 = all_1293_3
% 237.93/48.27 |
% 237.93/48.27 | COMBINE_EQS: (2367), (2594) imply:
% 237.93/48.27 | (2608) all_1629_7 = all_1151_1
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (1044), (2597) imply:
% 237.93/48.27 | (2609) v_g____(all_1007_0) = all_1617_12
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (962), (2420) imply:
% 237.93/48.27 | (2610) v_g____(all_1007_0) = all_1586_8
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (949), (2480) imply:
% 237.93/48.27 | (2611) v_g____(all_1007_0) = all_1584_8
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (664), (2500) imply:
% 237.93/48.27 | (2612) v_g____(all_1007_0) = all_1319_2
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (765), (2580) imply:
% 237.93/48.27 | (2613) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_1089_1) =
% 237.93/48.27 | all_1438_1
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (1102), (2606) imply:
% 237.93/48.27 | (2614) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1089_1) =
% 237.93/48.27 | all_1629_15
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (1085), (2605) imply:
% 237.93/48.27 | (2615) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1089_1) =
% 237.93/48.27 | all_1627_1
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (1074), (2604) imply:
% 237.93/48.27 | (2616) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1089_1) =
% 237.93/48.27 | all_1624_1
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (1063), (2602) imply:
% 237.93/48.27 | (2617) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1089_1) =
% 237.93/48.27 | all_1622_1
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (1053), (2600) imply:
% 237.93/48.27 | (2618) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1089_1) =
% 237.93/48.27 | all_1619_1
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (1041), (2598) imply:
% 237.93/48.27 | (2619) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1089_1) =
% 237.93/48.27 | all_1617_1
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (1019), (2596) imply:
% 237.93/48.27 | (2620) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1089_1) =
% 237.93/48.27 | all_1609_2
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (987), (2589) imply:
% 237.93/48.27 | (2621) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1089_1) =
% 237.93/48.27 | all_1602_9
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (965), (2588) imply:
% 237.93/48.27 | (2622) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1089_1) =
% 237.93/48.27 | all_1588_0
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (932), (2586) imply:
% 237.93/48.27 | (2623) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1089_1) =
% 237.93/48.27 | all_1582_6
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (921), (2584) imply:
% 237.93/48.27 | (2624) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1089_1) =
% 237.93/48.27 | all_1580_6
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (900), (2583) imply:
% 237.93/48.27 | (2625) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1089_1) =
% 237.93/48.27 | all_1563_7
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (879), (2582) imply:
% 237.93/48.27 | (2626) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1089_1) =
% 237.93/48.27 | all_1552_1
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (834), (2581) imply:
% 237.93/48.27 | (2627) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1089_1) =
% 237.93/48.27 | all_1524_0
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (737), (2579) imply:
% 237.93/48.27 | (2628) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1089_1) =
% 237.93/48.27 | all_1408_0
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (716), (2577) imply:
% 237.93/48.27 | (2629) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1089_1) =
% 237.93/48.27 | all_1381_0
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (702), (2576) imply:
% 237.93/48.27 | (2630) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1089_1) =
% 237.93/48.27 | all_1363_0
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (679), (2575) imply:
% 237.93/48.27 | (2631) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1089_1) =
% 237.93/48.27 | all_1336_0
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (522), (2571) imply:
% 237.93/48.27 | (2632) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1089_1) =
% 237.93/48.27 | all_1168_0
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (2288), (2607) imply:
% 237.93/48.27 | (2633) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1293_3,
% 237.93/48.27 | all_1139_0) = all_1629_11
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (2289), (2379) imply:
% 237.93/48.27 | (2634) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1293_3,
% 237.93/48.27 | all_1139_0) = all_1627_5
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (2290), (2603) imply:
% 237.93/48.27 | (2635) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1293_3,
% 237.93/48.27 | all_1139_0) = all_1624_5
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (2291), (2601) imply:
% 237.93/48.27 | (2636) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1293_3,
% 237.93/48.27 | all_1139_0) = all_1622_5
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (2292), (2599) imply:
% 237.93/48.27 | (2637) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1293_3,
% 237.93/48.27 | all_1139_0) = all_1619_5
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (2293), (2437) imply:
% 237.93/48.27 | (2638) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1293_3,
% 237.93/48.27 | all_1139_0) = all_1617_5
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (2294), (2595) imply:
% 237.93/48.27 | (2639) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1293_3,
% 237.93/48.27 | all_1139_0) = all_1609_6
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (2295), (2590) imply:
% 237.93/48.27 | (2640) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1293_3,
% 237.93/48.27 | all_1139_0) = all_1602_5
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (2296), (2587) imply:
% 237.93/48.27 | (2641) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1293_3,
% 237.93/48.27 | all_1139_0) = all_1582_2
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (2297), (2585) imply:
% 237.93/48.27 | (2642) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1293_3,
% 237.93/48.27 | all_1139_0) = all_1580_2
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (2298), (2456) imply:
% 237.93/48.27 | (2643) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1293_3,
% 237.93/48.27 | all_1139_0) = all_1563_3
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (2299), (2491) imply:
% 237.93/48.27 | (2644) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1293_3,
% 237.93/48.27 | all_1139_0) = all_1552_5
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (994), (2592) imply:
% 237.93/48.27 | (2645) c_Nat_OSuc(all_1007_0) = all_1604_7
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (941), (2480) imply:
% 237.93/48.27 | (2646) c_Nat_OSuc(all_1007_0) = all_1584_3
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (844), (2482) imply:
% 237.93/48.27 | (2647) c_Nat_OSuc(all_1007_0) = all_1530_5
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (1093), (2608) imply:
% 237.93/48.27 | (2648) c_RealDef_Oreal(tc_Nat_Onat, all_1151_1) = all_1629_6
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (1009), (2594) imply:
% 237.93/48.27 | (2649) c_RealDef_Oreal(tc_Nat_Onat, all_1151_1) = all_1609_11
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (992), (2593) imply:
% 237.93/48.27 | (2650) c_RealDef_Oreal(tc_Nat_Onat, all_1151_1) = all_1604_2
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (978), (2591) imply:
% 237.93/48.27 | (2651) c_RealDef_Oreal(tc_Nat_Onat, all_1151_1) = all_1602_0
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (953), (2365) imply:
% 237.93/48.27 | (2652) c_RealDef_Oreal(tc_Nat_Onat, all_1151_1) = all_1586_2
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (842), (2478) imply:
% 237.93/48.27 | (2653) c_RealDef_Oreal(tc_Nat_Onat, all_1151_1) = all_1530_1
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (2336), (2570) imply:
% 237.93/48.27 | (2654) c_RealDef_Oreal(tc_Nat_Onat, all_957_1) = all_898_0
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (869), (2491) imply:
% 237.93/48.27 | (2655) $i(all_1293_3)
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (840), (2478) imply:
% 237.93/48.27 | (2656) $i(all_1151_1)
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (461), (2569) imply:
% 237.93/48.27 | (2657) $i(all_1089_1)
% 237.93/48.27 |
% 237.93/48.27 | REDUCE: (413), (2570) imply:
% 237.93/48.27 | (2658) $i(all_957_1)
% 237.93/48.27 |
% 237.93/48.27 | GROUND_INST: instantiating (268) with all_1586_2, all_1602_0, all_1151_1,
% 237.93/48.27 | tc_Nat_Onat, simplifying with (2651), (2652) gives:
% 237.93/48.27 | (2659) all_1602_0 = all_1586_2
% 237.93/48.27 |
% 237.93/48.27 | GROUND_INST: instantiating (268) with all_1151_0, all_1609_11, all_1151_1,
% 237.93/48.27 | tc_Nat_Onat, simplifying with (504), (2649) gives:
% 237.93/48.27 | (2660) all_1609_11 = all_1151_0
% 237.93/48.27 |
% 237.93/48.27 | GROUND_INST: instantiating (268) with all_1604_2, all_1609_11, all_1151_1,
% 237.93/48.27 | tc_Nat_Onat, simplifying with (2649), (2650) gives:
% 237.93/48.27 | (2661) all_1609_11 = all_1604_2
% 237.93/48.27 |
% 237.93/48.27 | GROUND_INST: instantiating (268) with all_1602_0, all_1609_11, all_1151_1,
% 237.93/48.27 | tc_Nat_Onat, simplifying with (2649), (2651) gives:
% 237.93/48.27 | (2662) all_1609_11 = all_1602_0
% 237.93/48.27 |
% 237.93/48.27 | GROUND_INST: instantiating (268) with all_1602_0, all_1629_6, all_1151_1,
% 237.93/48.27 | tc_Nat_Onat, simplifying with (2648), (2651) gives:
% 237.93/48.27 | (2663) all_1629_6 = all_1602_0
% 237.93/48.27 |
% 237.93/48.27 | GROUND_INST: instantiating (268) with all_1530_1, all_1629_6, all_1151_1,
% 237.93/48.27 | tc_Nat_Onat, simplifying with (2648), (2653) gives:
% 237.93/48.27 | (2664) all_1629_6 = all_1530_1
% 237.93/48.27 |
% 237.93/48.27 | GROUND_INST: instantiating (257) with all_1584_3, all_1604_7, all_1007_0,
% 237.93/48.27 | simplifying with (2645), (2646) gives:
% 237.93/48.28 | (2665) all_1604_7 = all_1584_3
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (257) with all_1530_5, all_1604_7, all_1007_0,
% 237.93/48.28 | simplifying with (2645), (2647) gives:
% 237.93/48.28 | (2666) all_1604_7 = all_1530_5
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (278) with all_1293_1, all_1580_2, all_1139_0,
% 237.93/48.28 | all_1293_3, tc_RealDef_Oreal, simplifying with (2300), (2642)
% 237.93/48.28 | gives:
% 237.93/48.28 | (2667) all_1580_2 = all_1293_1
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (278) with all_1563_3, all_1580_2, all_1139_0,
% 237.93/48.28 | all_1293_3, tc_RealDef_Oreal, simplifying with (2642), (2643)
% 237.93/48.28 | gives:
% 237.93/48.28 | (2668) all_1580_2 = all_1563_3
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (278) with all_1563_3, all_1619_5, all_1139_0,
% 237.93/48.28 | all_1293_3, tc_RealDef_Oreal, simplifying with (2637), (2643)
% 237.93/48.28 | gives:
% 237.93/48.28 | (2669) all_1619_5 = all_1563_3
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (278) with all_1617_5, all_1622_5, all_1139_0,
% 237.93/48.28 | all_1293_3, tc_RealDef_Oreal, simplifying with (2636), (2638)
% 237.93/48.28 | gives:
% 237.93/48.28 | (2670) all_1622_5 = all_1617_5
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (278) with all_1552_5, all_1622_5, all_1139_0,
% 237.93/48.28 | all_1293_3, tc_RealDef_Oreal, simplifying with (2636), (2644)
% 237.93/48.28 | gives:
% 237.93/48.28 | (2671) all_1622_5 = all_1552_5
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (278) with all_1619_5, all_1624_5, all_1139_0,
% 237.93/48.28 | all_1293_3, tc_RealDef_Oreal, simplifying with (2635), (2637)
% 237.93/48.28 | gives:
% 237.93/48.28 | (2672) all_1624_5 = all_1619_5
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (278) with all_1582_2, all_1624_5, all_1139_0,
% 237.93/48.28 | all_1293_3, tc_RealDef_Oreal, simplifying with (2635), (2641)
% 237.93/48.28 | gives:
% 237.93/48.28 | (2673) all_1624_5 = all_1582_2
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (278) with all_1619_5, all_1627_5, all_1139_0,
% 237.93/48.28 | all_1293_3, tc_RealDef_Oreal, simplifying with (2634), (2637)
% 237.93/48.28 | gives:
% 237.93/48.28 | (2674) all_1627_5 = all_1619_5
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (278) with all_1617_5, all_1627_5, all_1139_0,
% 237.93/48.28 | all_1293_3, tc_RealDef_Oreal, simplifying with (2634), (2638)
% 237.93/48.28 | gives:
% 237.93/48.28 | (2675) all_1627_5 = all_1617_5
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (278) with all_1609_6, all_1627_5, all_1139_0,
% 237.93/48.28 | all_1293_3, tc_RealDef_Oreal, simplifying with (2634), (2639)
% 237.93/48.28 | gives:
% 237.93/48.28 | (2676) all_1627_5 = all_1609_6
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (278) with all_1627_5, all_1629_11, all_1139_0,
% 237.93/48.28 | all_1293_3, tc_RealDef_Oreal, simplifying with (2633), (2634)
% 237.93/48.28 | gives:
% 237.93/48.28 | (2677) all_1629_11 = all_1627_5
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (278) with all_1602_5, all_1629_11, all_1139_0,
% 237.93/48.28 | all_1293_3, tc_RealDef_Oreal, simplifying with (2633), (2640)
% 237.93/48.28 | gives:
% 237.93/48.28 | (2678) all_1629_11 = all_1602_5
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (272) with all_1363_0, all_1381_0, all_1089_1,
% 237.93/48.28 | tc_RealDef_Oreal, simplifying with (2629), (2630) gives:
% 237.93/48.28 | (2679) all_1381_0 = all_1363_0
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (272) with all_1381_0, all_1408_0, all_1089_1,
% 237.93/48.28 | tc_RealDef_Oreal, simplifying with (2628), (2629) gives:
% 237.93/48.28 | (2680) all_1408_0 = all_1381_0
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (272) with all_1363_0, all_1563_7, all_1089_1,
% 237.93/48.28 | tc_RealDef_Oreal, simplifying with (2625), (2630) gives:
% 237.93/48.28 | (2681) all_1563_7 = all_1363_0
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (272) with all_1582_6, all_1588_0, all_1089_1,
% 237.93/48.28 | tc_RealDef_Oreal, simplifying with (2622), (2623) gives:
% 237.93/48.28 | (2682) all_1588_0 = all_1582_6
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (272) with all_1563_7, all_1588_0, all_1089_1,
% 237.93/48.28 | tc_RealDef_Oreal, simplifying with (2622), (2625) gives:
% 237.93/48.28 | (2683) all_1588_0 = all_1563_7
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (272) with all_1580_6, all_1602_9, all_1089_1,
% 237.93/48.28 | tc_RealDef_Oreal, simplifying with (2621), (2624) gives:
% 237.93/48.28 | (2684) all_1602_9 = all_1580_6
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (272) with all_1408_0, all_1602_9, all_1089_1,
% 237.93/48.28 | tc_RealDef_Oreal, simplifying with (2621), (2628) gives:
% 237.93/48.28 | (2685) all_1602_9 = all_1408_0
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (272) with all_1580_6, all_1609_2, all_1089_1,
% 237.93/48.28 | tc_RealDef_Oreal, simplifying with (2620), (2624) gives:
% 237.93/48.28 | (2686) all_1609_2 = all_1580_6
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (272) with all_1609_2, all_1617_1, all_1089_1,
% 237.93/48.28 | tc_RealDef_Oreal, simplifying with (2619), (2620) gives:
% 237.93/48.28 | (2687) all_1617_1 = all_1609_2
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (272) with all_1168_0, all_1617_1, all_1089_1,
% 237.93/48.28 | tc_RealDef_Oreal, simplifying with (2619), (2632) gives:
% 237.93/48.28 | (2688) all_1617_1 = all_1168_0
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (272) with all_1588_0, all_1619_1, all_1089_1,
% 237.93/48.28 | tc_RealDef_Oreal, simplifying with (2618), (2622) gives:
% 237.93/48.28 | (2689) all_1619_1 = all_1588_0
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (272) with all_1336_0, all_1619_1, all_1089_1,
% 237.93/48.28 | tc_RealDef_Oreal, simplifying with (2618), (2631) gives:
% 237.93/48.28 | (2690) all_1619_1 = all_1336_0
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (272) with all_1602_9, all_1624_1, all_1089_1,
% 237.93/48.28 | tc_RealDef_Oreal, simplifying with (2616), (2621) gives:
% 237.93/48.28 | (2691) all_1624_1 = all_1602_9
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (272) with all_1552_1, all_1624_1, all_1089_1,
% 237.93/48.28 | tc_RealDef_Oreal, simplifying with (2616), (2626) gives:
% 237.93/48.28 | (2692) all_1624_1 = all_1552_1
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (272) with all_1563_7, all_1627_1, all_1089_1,
% 237.93/48.28 | tc_RealDef_Oreal, simplifying with (2615), (2625) gives:
% 237.93/48.28 | (2693) all_1627_1 = all_1563_7
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (272) with all_1524_0, all_1627_1, all_1089_1,
% 237.93/48.28 | tc_RealDef_Oreal, simplifying with (2615), (2627) gives:
% 237.93/48.28 | (2694) all_1627_1 = all_1524_0
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (272) with all_1627_1, all_1629_15, all_1089_1,
% 237.93/48.28 | tc_RealDef_Oreal, simplifying with (2614), (2615) gives:
% 237.93/48.28 | (2695) all_1629_15 = all_1627_1
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (272) with all_1622_1, all_1629_15, all_1089_1,
% 237.93/48.28 | tc_RealDef_Oreal, simplifying with (2614), (2617) gives:
% 237.93/48.28 | (2696) all_1629_15 = all_1622_1
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (272) with all_1089_0, all_1438_1, all_1089_1,
% 237.93/48.28 | tc_Int_Oint, simplifying with (448), (2613) gives:
% 237.93/48.28 | (2697) all_1438_1 = all_1089_0
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (262) with all_1584_8, all_1586_8, all_1007_0,
% 237.93/48.28 | simplifying with (2610), (2611) gives:
% 237.93/48.28 | (2698) all_1586_8 = all_1584_8
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (262) with all_1586_8, all_1617_12, all_1007_0,
% 237.93/48.28 | simplifying with (2609), (2610) gives:
% 237.93/48.28 | (2699) all_1617_12 = all_1586_8
% 237.93/48.28 |
% 237.93/48.28 | GROUND_INST: instantiating (262) with all_1319_2, all_1617_12, all_1007_0,
% 237.93/48.28 | simplifying with (2609), (2612) gives:
% 237.93/48.28 | (2700) all_1617_12 = all_1319_2
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2663), (2664) imply:
% 237.93/48.28 | (2701) all_1602_0 = all_1530_1
% 237.93/48.28 |
% 237.93/48.28 | SIMP: (2701) implies:
% 237.93/48.28 | (2702) all_1602_0 = all_1530_1
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2677), (2678) imply:
% 237.93/48.28 | (2703) all_1627_5 = all_1602_5
% 237.93/48.28 |
% 237.93/48.28 | SIMP: (2703) implies:
% 237.93/48.28 | (2704) all_1627_5 = all_1602_5
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2695), (2696) imply:
% 237.93/48.28 | (2705) all_1627_1 = all_1622_1
% 237.93/48.28 |
% 237.93/48.28 | SIMP: (2705) implies:
% 237.93/48.28 | (2706) all_1627_1 = all_1622_1
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2694), (2706) imply:
% 237.93/48.28 | (2707) all_1622_1 = all_1524_0
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2693), (2706) imply:
% 237.93/48.28 | (2708) all_1622_1 = all_1563_7
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2676), (2704) imply:
% 237.93/48.28 | (2709) all_1609_6 = all_1602_5
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2675), (2676) imply:
% 237.93/48.28 | (2710) all_1617_5 = all_1609_6
% 237.93/48.28 |
% 237.93/48.28 | SIMP: (2710) implies:
% 237.93/48.28 | (2711) all_1617_5 = all_1609_6
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2674), (2676) imply:
% 237.93/48.28 | (2712) all_1619_5 = all_1609_6
% 237.93/48.28 |
% 237.93/48.28 | SIMP: (2712) implies:
% 237.93/48.28 | (2713) all_1619_5 = all_1609_6
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2691), (2692) imply:
% 237.93/48.28 | (2714) all_1602_9 = all_1552_1
% 237.93/48.28 |
% 237.93/48.28 | SIMP: (2714) implies:
% 237.93/48.28 | (2715) all_1602_9 = all_1552_1
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2672), (2673) imply:
% 237.93/48.28 | (2716) all_1619_5 = all_1582_2
% 237.93/48.28 |
% 237.93/48.28 | SIMP: (2716) implies:
% 237.93/48.28 | (2717) all_1619_5 = all_1582_2
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2707), (2708) imply:
% 237.93/48.28 | (2718) all_1563_7 = all_1524_0
% 237.93/48.28 |
% 237.93/48.28 | SIMP: (2718) implies:
% 237.93/48.28 | (2719) all_1563_7 = all_1524_0
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2670), (2671) imply:
% 237.93/48.28 | (2720) all_1617_5 = all_1552_5
% 237.93/48.28 |
% 237.93/48.28 | SIMP: (2720) implies:
% 237.93/48.28 | (2721) all_1617_5 = all_1552_5
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2689), (2690) imply:
% 237.93/48.28 | (2722) all_1588_0 = all_1336_0
% 237.93/48.28 |
% 237.93/48.28 | SIMP: (2722) implies:
% 237.93/48.28 | (2723) all_1588_0 = all_1336_0
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2713), (2717) imply:
% 237.93/48.28 | (2724) all_1609_6 = all_1582_2
% 237.93/48.28 |
% 237.93/48.28 | SIMP: (2724) implies:
% 237.93/48.28 | (2725) all_1609_6 = all_1582_2
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2669), (2717) imply:
% 237.93/48.28 | (2726) all_1582_2 = all_1563_3
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2687), (2688) imply:
% 237.93/48.28 | (2727) all_1609_2 = all_1168_0
% 237.93/48.28 |
% 237.93/48.28 | SIMP: (2727) implies:
% 237.93/48.28 | (2728) all_1609_2 = all_1168_0
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2711), (2721) imply:
% 237.93/48.28 | (2729) all_1609_6 = all_1552_5
% 237.93/48.28 |
% 237.93/48.28 | SIMP: (2729) implies:
% 237.93/48.28 | (2730) all_1609_6 = all_1552_5
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2699), (2700) imply:
% 237.93/48.28 | (2731) all_1586_8 = all_1319_2
% 237.93/48.28 |
% 237.93/48.28 | SIMP: (2731) implies:
% 237.93/48.28 | (2732) all_1586_8 = all_1319_2
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2686), (2728) imply:
% 237.93/48.28 | (2733) all_1580_6 = all_1168_0
% 237.93/48.28 |
% 237.93/48.28 | SIMP: (2733) implies:
% 237.93/48.28 | (2734) all_1580_6 = all_1168_0
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2709), (2730) imply:
% 237.93/48.28 | (2735) all_1602_5 = all_1552_5
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2709), (2725) imply:
% 237.93/48.28 | (2736) all_1602_5 = all_1582_2
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2660), (2661) imply:
% 237.93/48.28 | (2737) all_1604_2 = all_1151_0
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2661), (2662) imply:
% 237.93/48.28 | (2738) all_1604_2 = all_1602_0
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2737), (2738) imply:
% 237.93/48.28 | (2739) all_1602_0 = all_1151_0
% 237.93/48.28 |
% 237.93/48.28 | SIMP: (2739) implies:
% 237.93/48.28 | (2740) all_1602_0 = all_1151_0
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2665), (2666) imply:
% 237.93/48.28 | (2741) all_1584_3 = all_1530_5
% 237.93/48.28 |
% 237.93/48.28 | SIMP: (2741) implies:
% 237.93/48.28 | (2742) all_1584_3 = all_1530_5
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2659), (2740) imply:
% 237.93/48.28 | (2743) all_1586_2 = all_1151_0
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2659), (2702) imply:
% 237.93/48.28 | (2744) all_1586_2 = all_1530_1
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2735), (2736) imply:
% 237.93/48.28 | (2745) all_1582_2 = all_1552_5
% 237.93/48.28 |
% 237.93/48.28 | SIMP: (2745) implies:
% 237.93/48.28 | (2746) all_1582_2 = all_1552_5
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2685), (2715) imply:
% 237.93/48.28 | (2747) all_1552_1 = all_1408_0
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2684), (2715) imply:
% 237.93/48.28 | (2748) all_1580_6 = all_1552_1
% 237.93/48.28 |
% 237.93/48.28 | SIMP: (2748) implies:
% 237.93/48.28 | (2749) all_1580_6 = all_1552_1
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2682), (2683) imply:
% 237.93/48.28 | (2750) all_1582_6 = all_1563_7
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2682), (2723) imply:
% 237.93/48.28 | (2751) all_1582_6 = all_1336_0
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2743), (2744) imply:
% 237.93/48.28 | (2752) all_1530_1 = all_1151_0
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2698), (2732) imply:
% 237.93/48.28 | (2753) all_1584_8 = all_1319_2
% 237.93/48.28 |
% 237.93/48.28 | SIMP: (2753) implies:
% 237.93/48.28 | (2754) all_1584_8 = all_1319_2
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2726), (2746) imply:
% 237.93/48.28 | (2755) all_1563_3 = all_1552_5
% 237.93/48.28 |
% 237.93/48.28 | SIMP: (2755) implies:
% 237.93/48.28 | (2756) all_1563_3 = all_1552_5
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2750), (2751) imply:
% 237.93/48.28 | (2757) all_1563_7 = all_1336_0
% 237.93/48.28 |
% 237.93/48.28 | SIMP: (2757) implies:
% 237.93/48.28 | (2758) all_1563_7 = all_1336_0
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2667), (2668) imply:
% 237.93/48.28 | (2759) all_1563_3 = all_1293_1
% 237.93/48.28 |
% 237.93/48.28 | SIMP: (2759) implies:
% 237.93/48.28 | (2760) all_1563_3 = all_1293_1
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2734), (2749) imply:
% 237.93/48.28 | (2761) all_1552_1 = all_1168_0
% 237.93/48.28 |
% 237.93/48.28 | SIMP: (2761) implies:
% 237.93/48.28 | (2762) all_1552_1 = all_1168_0
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2756), (2760) imply:
% 237.93/48.28 | (2763) all_1552_5 = all_1293_1
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2681), (2719) imply:
% 237.93/48.28 | (2764) all_1524_0 = all_1363_0
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2719), (2758) imply:
% 237.93/48.28 | (2765) all_1524_0 = all_1336_0
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2747), (2762) imply:
% 237.93/48.28 | (2766) all_1408_0 = all_1168_0
% 237.93/48.28 |
% 237.93/48.28 | SIMP: (2766) implies:
% 237.93/48.28 | (2767) all_1408_0 = all_1168_0
% 237.93/48.28 |
% 237.93/48.28 | COMBINE_EQS: (2764), (2765) imply:
% 237.93/48.28 | (2768) all_1363_0 = all_1336_0
% 237.93/48.28 |
% 237.93/48.28 | SIMP: (2768) implies:
% 237.93/48.29 | (2769) all_1363_0 = all_1336_0
% 237.93/48.29 |
% 237.93/48.29 | COMBINE_EQS: (2680), (2767) imply:
% 237.93/48.29 | (2770) all_1381_0 = all_1168_0
% 237.93/48.29 |
% 237.93/48.29 | SIMP: (2770) implies:
% 237.93/48.29 | (2771) all_1381_0 = all_1168_0
% 237.93/48.29 |
% 237.93/48.29 | COMBINE_EQS: (2679), (2771) imply:
% 237.93/48.29 | (2772) all_1363_0 = all_1168_0
% 237.93/48.29 |
% 237.93/48.29 | SIMP: (2772) implies:
% 237.93/48.29 | (2773) all_1363_0 = all_1168_0
% 237.93/48.29 |
% 237.93/48.29 | COMBINE_EQS: (2769), (2773) imply:
% 237.93/48.29 | (2774) all_1336_0 = all_1168_0
% 237.93/48.29 |
% 237.93/48.29 | SIMP: (2774) implies:
% 237.93/48.29 | (2775) all_1336_0 = all_1168_0
% 237.93/48.29 |
% 237.93/48.29 | COMBINE_EQS: (2765), (2775) imply:
% 237.93/48.29 | (2776) all_1524_0 = all_1168_0
% 237.93/48.29 |
% 237.93/48.29 | COMBINE_EQS: (2719), (2776) imply:
% 237.93/48.29 | (2777) all_1563_7 = all_1168_0
% 237.93/48.29 |
% 237.93/48.29 | COMBINE_EQS: (2751), (2775) imply:
% 237.93/48.29 | (2778) all_1582_6 = all_1168_0
% 237.93/48.29 |
% 237.93/48.29 | COMBINE_EQS: (2746), (2763) imply:
% 237.93/48.29 | (2779) all_1582_2 = all_1293_1
% 237.93/48.29 |
% 237.93/48.29 | COMBINE_EQS: (2715), (2762) imply:
% 237.93/48.29 | (2780) all_1602_9 = all_1168_0
% 237.93/48.29 |
% 237.93/48.29 | COMBINE_EQS: (2735), (2763) imply:
% 237.93/48.29 | (2781) all_1602_5 = all_1293_1
% 237.93/48.29 |
% 237.93/48.29 | COMBINE_EQS: (2709), (2781) imply:
% 237.93/48.29 | (2782) all_1609_6 = all_1293_1
% 237.93/48.29 |
% 237.93/48.29 | COMBINE_EQS: (2721), (2763) imply:
% 237.93/48.29 | (2783) all_1617_5 = all_1293_1
% 237.93/48.29 |
% 237.93/48.29 | COMBINE_EQS: (2717), (2779) imply:
% 237.93/48.29 | (2784) all_1619_5 = all_1293_1
% 237.93/48.29 |
% 237.93/48.29 | COMBINE_EQS: (2690), (2775) imply:
% 237.93/48.29 | (2785) all_1619_1 = all_1168_0
% 237.93/48.29 |
% 237.93/48.29 | COMBINE_EQS: (2671), (2763) imply:
% 237.93/48.29 | (2786) all_1622_5 = all_1293_1
% 237.93/48.29 |
% 237.93/48.29 | COMBINE_EQS: (2707), (2776) imply:
% 237.93/48.29 | (2787) all_1622_1 = all_1168_0
% 237.93/48.29 |
% 237.93/48.29 | COMBINE_EQS: (2673), (2779) imply:
% 237.93/48.29 | (2788) all_1624_5 = all_1293_1
% 237.93/48.29 |
% 237.93/48.29 | COMBINE_EQS: (2692), (2762) imply:
% 237.93/48.29 | (2789) all_1624_1 = all_1168_0
% 237.93/48.29 |
% 237.93/48.29 | COMBINE_EQS: (2676), (2782) imply:
% 237.93/48.29 | (2790) all_1627_5 = all_1293_1
% 237.93/48.29 |
% 237.93/48.29 | COMBINE_EQS: (2706), (2787) imply:
% 237.93/48.29 | (2791) all_1627_1 = all_1168_0
% 237.93/48.29 |
% 237.93/48.29 | COMBINE_EQS: (2696), (2787) imply:
% 237.93/48.29 | (2792) all_1629_15 = all_1168_0
% 237.93/48.29 |
% 237.93/48.29 | COMBINE_EQS: (2678), (2781) imply:
% 237.93/48.29 | (2793) all_1629_11 = all_1293_1
% 237.93/48.29 |
% 237.93/48.29 | COMBINE_EQS: (2664), (2752) imply:
% 237.93/48.29 | (2794) all_1629_6 = all_1151_0
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (1107), (2794) imply:
% 237.93/48.29 | (2795) c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_1151_0) =
% 237.93/48.29 | all_1629_2
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (1040), (2700) imply:
% 237.93/48.29 | (2796) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, all_1319_2) =
% 237.93/48.29 | all_1617_11
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (960), (2732) imply:
% 237.93/48.29 | (2797) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, all_1319_2) =
% 237.93/48.29 | all_1586_7
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (947), (2754) imply:
% 237.93/48.29 | (2798) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p, all_1319_2) =
% 237.93/48.29 | all_1584_7
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (1097), (2793) imply:
% 237.93/48.29 | (2799) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1293_1) =
% 237.93/48.29 | all_1629_10
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (1080), (2790) imply:
% 237.93/48.29 | (2800) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1293_1) = all_1627_4
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (1069), (2788) imply:
% 237.93/48.29 | (2801) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1293_1) = all_1624_4
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (1058), (2786) imply:
% 237.93/48.29 | (2802) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1293_1) = all_1622_4
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (1048), (2784) imply:
% 237.93/48.29 | (2803) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1293_1) = all_1619_4
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (1033), (2783) imply:
% 237.93/48.29 | (2804) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1293_1) = all_1617_4
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (1014), (2782) imply:
% 237.93/48.29 | (2805) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1293_1) = all_1609_5
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (982), (2781) imply:
% 237.93/48.29 | (2806) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1293_1) = all_1602_4
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (927), (2779) imply:
% 237.93/48.29 | (2807) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1293_1) = all_1582_1
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (916), (2667) imply:
% 237.93/48.29 | (2808) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1293_1) = all_1580_1
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (895), (2760) imply:
% 237.93/48.29 | (2809) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1293_1) = all_1563_2
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (874), (2763) imply:
% 237.93/48.29 | (2810) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1293_1) = all_1552_4
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (1096), (2792) imply:
% 237.93/48.29 | (2811) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1168_0,
% 237.93/48.29 | all_1629_10) = all_1629_9
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (1079), (2791) imply:
% 237.93/48.29 | (2812) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1627_4,
% 237.93/48.29 | all_1168_0) = all_1627_0
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (1068), (2789) imply:
% 237.93/48.29 | (2813) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1624_4,
% 237.93/48.29 | all_1168_0) = all_1624_0
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (1057), (2787) imply:
% 237.93/48.29 | (2814) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1622_4,
% 237.93/48.29 | all_1168_0) = all_1622_0
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (1047), (2785) imply:
% 237.93/48.29 | (2815) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1619_4,
% 237.93/48.29 | all_1168_0) = all_1619_0
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (1032), (2688) imply:
% 237.93/48.29 | (2816) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1617_4,
% 237.93/48.29 | all_1168_0) = all_1617_0
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (1013), (2728) imply:
% 237.93/48.29 | (2817) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1609_5,
% 237.93/48.29 | all_1168_0) = all_1609_1
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (981), (2780) imply:
% 237.93/48.29 | (2818) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1168_0,
% 237.93/48.29 | all_1602_4) = all_1602_3
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (926), (2778) imply:
% 237.93/48.29 | (2819) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1168_0,
% 237.93/48.29 | all_1582_1) = all_1582_0
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (915), (2734) imply:
% 237.93/48.29 | (2820) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1168_0,
% 237.93/48.29 | all_1580_1) = all_1580_0
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (894), (2777) imply:
% 237.93/48.29 | (2821) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1168_0,
% 237.93/48.29 | all_1563_2) = all_1563_1
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (873), (2762) imply:
% 237.93/48.29 | (2822) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1552_4,
% 237.93/48.29 | all_1168_0) = all_1552_0
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (2301), (2660) imply:
% 237.93/48.29 | (2823) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_898_0,
% 237.93/48.29 | all_1151_0) = all_1609_10
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (2302), (2737) imply:
% 237.93/48.29 | (2824) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_898_0,
% 237.93/48.29 | all_1151_0) = all_1604_1
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (2304), (2743) imply:
% 237.93/48.29 | (2825) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_898_0,
% 237.93/48.29 | all_1151_0) = all_1586_1
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (2306), (2752) imply:
% 237.93/48.29 | (2826) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_898_0,
% 237.93/48.29 | all_1151_0) = all_1530_0
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (991), (2666) imply:
% 237.93/48.29 | (2827) c_RealDef_Oreal(tc_Nat_Onat, all_1530_5) = all_1604_6
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (940), (2742) imply:
% 237.93/48.29 | (2828) c_RealDef_Oreal(tc_Nat_Onat, all_1530_5) = all_1584_2
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (1090), (2794) imply:
% 237.93/48.29 | (2829) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1629_9,
% 237.93/48.29 | all_1151_0) = all_1629_5
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (977), (2740) imply:
% 237.93/48.29 | (2830) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1602_3,
% 237.93/48.29 | all_1151_0) = 0
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (938), (2742) imply:
% 237.93/48.29 | (2831) $i(all_1530_5)
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (870), (2763) imply:
% 237.93/48.29 | (2832) $i(all_1293_1)
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (764), (2697) imply:
% 237.93/48.29 | (2833) $i(all_1089_0)
% 237.93/48.29 |
% 237.93/48.29 | REDUCE: (678), (2775) imply:
% 237.93/48.29 | (2834) $i(all_1168_0)
% 237.93/48.29 |
% 237.93/48.29 | GROUND_INST: instantiating (268) with all_1530_4, all_1604_6, all_1530_5,
% 237.93/48.29 | tc_Nat_Onat, simplifying with (841), (2827) gives:
% 237.93/48.29 | (2835) all_1604_6 = all_1530_4
% 237.93/48.29 |
% 237.93/48.29 | GROUND_INST: instantiating (268) with all_1584_2, all_1604_6, all_1530_5,
% 237.93/48.29 | tc_Nat_Onat, simplifying with (2827), (2828) gives:
% 237.93/48.29 | (2836) all_1604_6 = all_1584_2
% 237.93/48.29 |
% 237.93/48.29 | GROUND_INST: instantiating (277) with all_1604_1, all_1609_10, all_1151_0,
% 237.93/48.29 | all_898_0, tc_RealDef_Oreal, simplifying with (2823), (2824)
% 237.93/48.29 | gives:
% 237.93/48.29 | (2837) all_1609_10 = all_1604_1
% 237.93/48.29 |
% 237.93/48.29 | GROUND_INST: instantiating (277) with all_1586_1, all_1609_10, all_1151_0,
% 237.93/48.29 | all_898_0, tc_RealDef_Oreal, simplifying with (2823), (2825)
% 237.93/48.29 | gives:
% 237.93/48.29 | (2838) all_1609_10 = all_1586_1
% 237.93/48.29 |
% 237.93/48.29 | GROUND_INST: instantiating (277) with all_1530_0, all_1609_10, all_1151_0,
% 237.93/48.29 | all_898_0, tc_RealDef_Oreal, simplifying with (2823), (2826)
% 237.93/48.29 | gives:
% 237.93/48.29 | (2839) all_1609_10 = all_1530_0
% 237.93/48.29 |
% 237.93/48.29 | GROUND_INST: instantiating (269) with all_1293_0, all_1580_1, all_1293_1,
% 237.93/48.29 | tc_RealDef_Oreal, simplifying with (638), (2808) gives:
% 237.93/48.29 | (2840) all_1580_1 = all_1293_0
% 237.93/48.29 |
% 237.93/48.30 | GROUND_INST: instantiating (269) with all_1602_4, all_1617_4, all_1293_1,
% 237.93/48.30 | tc_RealDef_Oreal, simplifying with (2804), (2806) gives:
% 237.93/48.30 | (2841) all_1617_4 = all_1602_4
% 237.93/48.30 |
% 237.93/48.30 | GROUND_INST: instantiating (269) with all_1609_5, all_1619_4, all_1293_1,
% 237.93/48.30 | tc_RealDef_Oreal, simplifying with (2803), (2805) gives:
% 237.93/48.30 | (2842) all_1619_4 = all_1609_5
% 237.93/48.30 |
% 237.93/48.30 | GROUND_INST: instantiating (269) with all_1602_4, all_1619_4, all_1293_1,
% 237.93/48.30 | tc_RealDef_Oreal, simplifying with (2803), (2806) gives:
% 237.93/48.30 | (2843) all_1619_4 = all_1602_4
% 237.93/48.30 |
% 237.93/48.30 | GROUND_INST: instantiating (269) with all_1622_4, all_1624_4, all_1293_1,
% 237.93/48.30 | tc_RealDef_Oreal, simplifying with (2801), (2802) gives:
% 237.93/48.30 | (2844) all_1624_4 = all_1622_4
% 237.93/48.30 |
% 237.93/48.30 | GROUND_INST: instantiating (269) with all_1617_4, all_1624_4, all_1293_1,
% 237.93/48.30 | tc_RealDef_Oreal, simplifying with (2801), (2804) gives:
% 237.93/48.30 | (2845) all_1624_4 = all_1617_4
% 237.93/48.30 |
% 237.93/48.30 | GROUND_INST: instantiating (269) with all_1552_4, all_1624_4, all_1293_1,
% 237.93/48.30 | tc_RealDef_Oreal, simplifying with (2801), (2810) gives:
% 237.93/48.30 | (2846) all_1624_4 = all_1552_4
% 237.93/48.30 |
% 237.93/48.30 | GROUND_INST: instantiating (269) with all_1619_4, all_1627_4, all_1293_1,
% 237.93/48.30 | tc_RealDef_Oreal, simplifying with (2800), (2803) gives:
% 237.93/48.30 | (2847) all_1627_4 = all_1619_4
% 237.93/48.30 |
% 237.93/48.30 | GROUND_INST: instantiating (269) with all_1580_1, all_1627_4, all_1293_1,
% 237.93/48.30 | tc_RealDef_Oreal, simplifying with (2800), (2808) gives:
% 237.93/48.30 | (2848) all_1627_4 = all_1580_1
% 237.93/48.30 |
% 237.93/48.30 | GROUND_INST: instantiating (269) with all_1563_2, all_1627_4, all_1293_1,
% 237.93/48.30 | tc_RealDef_Oreal, simplifying with (2800), (2809) gives:
% 237.93/48.30 | (2849) all_1627_4 = all_1563_2
% 237.93/48.30 |
% 237.93/48.30 | GROUND_INST: instantiating (269) with all_1619_4, all_1629_10, all_1293_1,
% 237.93/48.30 | tc_RealDef_Oreal, simplifying with (2799), (2803) gives:
% 237.93/48.30 | (2850) all_1629_10 = all_1619_4
% 237.93/48.30 |
% 237.93/48.30 | GROUND_INST: instantiating (269) with all_1582_1, all_1629_10, all_1293_1,
% 237.93/48.30 | tc_RealDef_Oreal, simplifying with (2799), (2807) gives:
% 237.93/48.30 | (2851) all_1629_10 = all_1582_1
% 237.93/48.30 |
% 237.93/48.30 | GROUND_INST: instantiating (279) with all_1319_1, all_1586_7, all_1319_2, v_p,
% 237.93/48.30 | tc_Complex_Ocomplex, simplifying with (663), (2797) gives:
% 237.93/48.30 | (2852) all_1586_7 = all_1319_1
% 237.93/48.30 |
% 237.93/48.30 | GROUND_INST: instantiating (279) with all_1586_7, all_1617_11, all_1319_2,
% 237.93/48.30 | v_p, tc_Complex_Ocomplex, simplifying with (2796), (2797) gives:
% 237.93/48.30 | (2853) all_1617_11 = all_1586_7
% 237.93/48.30 |
% 237.93/48.30 | GROUND_INST: instantiating (279) with all_1584_7, all_1617_11, all_1319_2,
% 237.93/48.30 | v_p, tc_Complex_Ocomplex, simplifying with (2796), (2798) gives:
% 237.93/48.30 | (2854) all_1617_11 = all_1584_7
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2850), (2851) imply:
% 237.93/48.30 | (2855) all_1619_4 = all_1582_1
% 237.93/48.30 |
% 237.93/48.30 | SIMP: (2855) implies:
% 237.93/48.30 | (2856) all_1619_4 = all_1582_1
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2848), (2849) imply:
% 237.93/48.30 | (2857) all_1580_1 = all_1563_2
% 237.93/48.30 |
% 237.93/48.30 | SIMP: (2857) implies:
% 237.93/48.30 | (2858) all_1580_1 = all_1563_2
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2847), (2849) imply:
% 237.93/48.30 | (2859) all_1619_4 = all_1563_2
% 237.93/48.30 |
% 237.93/48.30 | SIMP: (2859) implies:
% 237.93/48.30 | (2860) all_1619_4 = all_1563_2
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2844), (2846) imply:
% 237.93/48.30 | (2861) all_1622_4 = all_1552_4
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2844), (2845) imply:
% 237.93/48.30 | (2862) all_1622_4 = all_1617_4
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2861), (2862) imply:
% 237.93/48.30 | (2863) all_1617_4 = all_1552_4
% 237.93/48.30 |
% 237.93/48.30 | SIMP: (2863) implies:
% 237.93/48.30 | (2864) all_1617_4 = all_1552_4
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2842), (2843) imply:
% 237.93/48.30 | (2865) all_1609_5 = all_1602_4
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2842), (2856) imply:
% 237.93/48.30 | (2866) all_1609_5 = all_1582_1
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2842), (2860) imply:
% 237.93/48.30 | (2867) all_1609_5 = all_1563_2
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2841), (2864) imply:
% 237.93/48.30 | (2868) all_1602_4 = all_1552_4
% 237.93/48.30 |
% 237.93/48.30 | SIMP: (2868) implies:
% 237.93/48.30 | (2869) all_1602_4 = all_1552_4
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2853), (2854) imply:
% 237.93/48.30 | (2870) all_1586_7 = all_1584_7
% 237.93/48.30 |
% 237.93/48.30 | SIMP: (2870) implies:
% 237.93/48.30 | (2871) all_1586_7 = all_1584_7
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2866), (2867) imply:
% 237.93/48.30 | (2872) all_1582_1 = all_1563_2
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2865), (2866) imply:
% 237.93/48.30 | (2873) all_1602_4 = all_1582_1
% 237.93/48.30 |
% 237.93/48.30 | SIMP: (2873) implies:
% 237.93/48.30 | (2874) all_1602_4 = all_1582_1
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2837), (2839) imply:
% 237.93/48.30 | (2875) all_1604_1 = all_1530_0
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2837), (2838) imply:
% 237.93/48.30 | (2876) all_1604_1 = all_1586_1
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2875), (2876) imply:
% 237.93/48.30 | (2877) all_1586_1 = all_1530_0
% 237.93/48.30 |
% 237.93/48.30 | SIMP: (2877) implies:
% 237.93/48.30 | (2878) all_1586_1 = all_1530_0
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2835), (2836) imply:
% 237.93/48.30 | (2879) all_1584_2 = all_1530_4
% 237.93/48.30 |
% 237.93/48.30 | SIMP: (2879) implies:
% 237.93/48.30 | (2880) all_1584_2 = all_1530_4
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2869), (2874) imply:
% 237.93/48.30 | (2881) all_1582_1 = all_1552_4
% 237.93/48.30 |
% 237.93/48.30 | SIMP: (2881) implies:
% 237.93/48.30 | (2882) all_1582_1 = all_1552_4
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2852), (2871) imply:
% 237.93/48.30 | (2883) all_1584_7 = all_1319_1
% 237.93/48.30 |
% 237.93/48.30 | SIMP: (2883) implies:
% 237.93/48.30 | (2884) all_1584_7 = all_1319_1
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2872), (2882) imply:
% 237.93/48.30 | (2885) all_1563_2 = all_1552_4
% 237.93/48.30 |
% 237.93/48.30 | SIMP: (2885) implies:
% 237.93/48.30 | (2886) all_1563_2 = all_1552_4
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2840), (2858) imply:
% 237.93/48.30 | (2887) all_1563_2 = all_1293_0
% 237.93/48.30 |
% 237.93/48.30 | SIMP: (2887) implies:
% 237.93/48.30 | (2888) all_1563_2 = all_1293_0
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2886), (2888) imply:
% 237.93/48.30 | (2889) all_1552_4 = all_1293_0
% 237.93/48.30 |
% 237.93/48.30 | SIMP: (2889) implies:
% 237.93/48.30 | (2890) all_1552_4 = all_1293_0
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2882), (2890) imply:
% 237.93/48.30 | (2891) all_1582_1 = all_1293_0
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2869), (2890) imply:
% 237.93/48.30 | (2892) all_1602_4 = all_1293_0
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2866), (2891) imply:
% 237.93/48.30 | (2893) all_1609_5 = all_1293_0
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2854), (2884) imply:
% 237.93/48.30 | (2894) all_1617_11 = all_1319_1
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2864), (2890) imply:
% 237.93/48.30 | (2895) all_1617_4 = all_1293_0
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2842), (2893) imply:
% 237.93/48.30 | (2896) all_1619_4 = all_1293_0
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2861), (2890) imply:
% 237.93/48.30 | (2897) all_1622_4 = all_1293_0
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2844), (2897) imply:
% 237.93/48.30 | (2898) all_1624_4 = all_1293_0
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2849), (2888) imply:
% 237.93/48.30 | (2899) all_1627_4 = all_1293_0
% 237.93/48.30 |
% 237.93/48.30 | COMBINE_EQS: (2851), (2891) imply:
% 237.93/48.30 | (2900) all_1629_10 = all_1293_0
% 237.93/48.30 |
% 237.93/48.30 | REDUCE: (959), (2852) imply:
% 237.93/48.30 | (2901) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1319_1) =
% 237.93/48.30 | all_1586_6
% 237.93/48.30 |
% 237.93/48.30 | REDUCE: (946), (2884) imply:
% 237.93/48.30 | (2902) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1319_1) =
% 237.93/48.30 | all_1584_6
% 237.93/48.30 |
% 237.93/48.30 | REDUCE: (2287), (2894) imply:
% 237.93/48.30 | (2903) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1319_1,
% 237.93/48.30 | all_1293_4) = all_1617_9
% 237.93/48.30 |
% 237.93/48.30 | REDUCE: (2812), (2899) imply:
% 237.93/48.30 | (2904) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1293_0,
% 237.93/48.30 | all_1168_0) = all_1627_0
% 237.93/48.30 |
% 237.93/48.30 | REDUCE: (2813), (2898) imply:
% 237.93/48.30 | (2905) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1293_0,
% 237.93/48.30 | all_1168_0) = all_1624_0
% 237.93/48.30 |
% 237.93/48.30 | REDUCE: (2814), (2897) imply:
% 237.93/48.30 | (2906) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1293_0,
% 237.93/48.30 | all_1168_0) = all_1622_0
% 237.93/48.30 |
% 237.93/48.30 | REDUCE: (2815), (2896) imply:
% 237.93/48.30 | (2907) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1293_0,
% 237.93/48.30 | all_1168_0) = all_1619_0
% 237.93/48.30 |
% 237.93/48.30 | REDUCE: (2816), (2895) imply:
% 237.93/48.30 | (2908) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1293_0,
% 237.93/48.30 | all_1168_0) = all_1617_0
% 237.93/48.30 |
% 237.93/48.30 | REDUCE: (2817), (2893) imply:
% 237.93/48.30 | (2909) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1293_0,
% 237.93/48.30 | all_1168_0) = all_1609_1
% 237.93/48.30 |
% 238.27/48.30 | REDUCE: (2822), (2890) imply:
% 238.27/48.30 | (2910) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1293_0,
% 238.27/48.30 | all_1168_0) = all_1552_0
% 238.27/48.30 |
% 238.27/48.30 | REDUCE: (2811), (2900) imply:
% 238.27/48.30 | (2911) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1168_0,
% 238.27/48.30 | all_1293_0) = all_1629_9
% 238.27/48.30 |
% 238.27/48.30 | REDUCE: (2818), (2892) imply:
% 238.27/48.30 | (2912) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1168_0,
% 238.27/48.30 | all_1293_0) = all_1602_3
% 238.27/48.30 |
% 238.27/48.30 | REDUCE: (2819), (2891) imply:
% 238.27/48.30 | (2913) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1168_0,
% 238.27/48.30 | all_1293_0) = all_1582_0
% 238.27/48.30 |
% 238.27/48.30 | REDUCE: (2820), (2840) imply:
% 238.27/48.30 | (2914) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1168_0,
% 238.27/48.30 | all_1293_0) = all_1580_0
% 238.27/48.30 |
% 238.27/48.30 | REDUCE: (2821), (2888) imply:
% 238.27/48.30 | (2915) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1168_0,
% 238.27/48.30 | all_1293_0) = all_1563_1
% 238.27/48.30 |
% 238.27/48.30 | REDUCE: (2303), (2835) imply:
% 238.27/48.30 | (2916) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_898_0,
% 238.27/48.30 | all_1530_4) = all_1604_5
% 238.27/48.30 |
% 238.27/48.30 | REDUCE: (2305), (2880) imply:
% 238.27/48.30 | (2917) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_898_0,
% 238.27/48.30 | all_1530_4) = all_1584_1
% 238.27/48.30 |
% 238.27/48.30 | REDUCE: (2308), (2875) imply:
% 238.27/48.30 | (2918) c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1139_0,
% 238.27/48.30 | all_1530_0) = all_1604_0
% 238.27/48.30 |
% 238.27/48.30 | REDUCE: (2310), (2878) imply:
% 238.27/48.30 | (2919) c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1139_0,
% 238.27/48.30 | all_1530_0) = all_1586_0
% 238.27/48.30 |
% 238.27/48.30 | REDUCE: (1008), (2839) imply:
% 238.27/48.30 | (2920) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1530_0,
% 238.27/48.30 | all_1609_1) = all_1609_0
% 238.27/48.30 |
% 238.27/48.30 | REDUCE: (952), (2878) imply:
% 238.27/48.30 | (2921) $i(all_1530_0)
% 238.27/48.30 |
% 238.27/48.30 | REDUCE: (937), (2884) imply:
% 238.27/48.30 | (2922) $i(all_1319_1)
% 238.27/48.30 |
% 238.27/48.30 | REDUCE: (871), (2890) imply:
% 238.27/48.30 | (2923) $i(all_1293_0)
% 238.27/48.30 |
% 238.27/48.30 | GROUND_INST: instantiating (276) with all_1586_0, all_1604_0, all_1530_0,
% 238.27/48.30 | all_1139_0, tc_RealDef_Oreal, simplifying with (2918), (2919)
% 238.27/48.30 | gives:
% 238.27/48.30 | (2924) all_1604_0 = all_1586_0
% 238.27/48.30 |
% 238.27/48.30 | GROUND_INST: instantiating (277) with all_1530_3, all_1604_5, all_1530_4,
% 238.27/48.30 | all_898_0, tc_RealDef_Oreal, simplifying with (2307), (2916)
% 238.27/48.30 | gives:
% 238.27/48.30 | (2925) all_1604_5 = all_1530_3
% 238.27/48.30 |
% 238.27/48.30 | GROUND_INST: instantiating (277) with all_1584_1, all_1604_5, all_1530_4,
% 238.27/48.30 | all_898_0, tc_RealDef_Oreal, simplifying with (2916), (2917)
% 238.27/48.30 | gives:
% 238.27/48.30 | (2926) all_1604_5 = all_1584_1
% 238.27/48.30 |
% 238.27/48.30 | GROUND_INST: instantiating (277) with all_1580_0, all_1602_3, all_1293_0,
% 238.27/48.30 | all_1168_0, tc_RealDef_Oreal, simplifying with (2912), (2914)
% 238.27/48.30 | gives:
% 238.27/48.30 | (2927) all_1602_3 = all_1580_0
% 238.27/48.30 |
% 238.27/48.30 | GROUND_INST: instantiating (277) with all_1563_1, all_1602_3, all_1293_0,
% 238.27/48.30 | all_1168_0, tc_RealDef_Oreal, simplifying with (2912), (2915)
% 238.27/48.30 | gives:
% 238.27/48.30 | (2928) all_1602_3 = all_1563_1
% 238.27/48.30 |
% 238.27/48.30 | GROUND_INST: instantiating (277) with all_1602_3, all_1629_9, all_1293_0,
% 238.27/48.30 | all_1168_0, tc_RealDef_Oreal, simplifying with (2911), (2912)
% 238.27/48.30 | gives:
% 238.27/48.30 | (2929) all_1629_9 = all_1602_3
% 238.27/48.30 |
% 238.27/48.30 | GROUND_INST: instantiating (277) with all_1582_0, all_1629_9, all_1293_0,
% 238.27/48.30 | all_1168_0, tc_RealDef_Oreal, simplifying with (2911), (2913)
% 238.27/48.30 | gives:
% 238.27/48.30 | (2930) all_1629_9 = all_1582_0
% 238.27/48.30 |
% 238.27/48.30 | GROUND_INST: instantiating (277) with all_1617_0, all_1622_0, all_1168_0,
% 238.27/48.30 | all_1293_0, tc_RealDef_Oreal, simplifying with (2906), (2908)
% 238.27/48.30 | gives:
% 238.27/48.30 | (2931) all_1622_0 = all_1617_0
% 238.27/48.30 |
% 238.27/48.30 | GROUND_INST: instantiating (277) with all_1609_1, all_1622_0, all_1168_0,
% 238.27/48.30 | all_1293_0, tc_RealDef_Oreal, simplifying with (2906), (2909)
% 238.27/48.30 | gives:
% 238.27/48.30 | (2932) all_1622_0 = all_1609_1
% 238.27/48.30 |
% 238.27/48.30 | GROUND_INST: instantiating (277) with all_1622_0, all_1624_0, all_1168_0,
% 238.27/48.30 | all_1293_0, tc_RealDef_Oreal, simplifying with (2905), (2906)
% 238.27/48.30 | gives:
% 238.27/48.30 | (2933) all_1624_0 = all_1622_0
% 238.27/48.30 |
% 238.27/48.30 | GROUND_INST: instantiating (277) with all_1619_0, all_1624_0, all_1168_0,
% 238.27/48.30 | all_1293_0, tc_RealDef_Oreal, simplifying with (2905), (2907)
% 238.27/48.30 | gives:
% 238.27/48.30 | (2934) all_1624_0 = all_1619_0
% 238.27/48.30 |
% 238.27/48.30 | GROUND_INST: instantiating (277) with all_1622_0, all_1627_0, all_1168_0,
% 238.27/48.30 | all_1293_0, tc_RealDef_Oreal, simplifying with (2904), (2906)
% 238.27/48.30 | gives:
% 238.27/48.30 | (2935) all_1627_0 = all_1622_0
% 238.27/48.30 |
% 238.27/48.30 | GROUND_INST: instantiating (277) with all_1552_0, all_1627_0, all_1168_0,
% 238.27/48.30 | all_1293_0, tc_RealDef_Oreal, simplifying with (2904), (2910)
% 238.27/48.31 | gives:
% 238.27/48.31 | (2936) all_1627_0 = all_1552_0
% 238.27/48.31 |
% 238.27/48.31 | GROUND_INST: instantiating (271) with all_1319_0, all_1586_6, all_1319_1,
% 238.27/48.31 | tc_Complex_Ocomplex, simplifying with (662), (2901) gives:
% 238.27/48.31 | (2937) all_1586_6 = all_1319_0
% 238.27/48.31 |
% 238.27/48.31 | GROUND_INST: instantiating (271) with all_1584_6, all_1586_6, all_1319_1,
% 238.27/48.31 | tc_Complex_Ocomplex, simplifying with (2901), (2902) gives:
% 238.27/48.31 | (2938) all_1586_6 = all_1584_6
% 238.27/48.31 |
% 238.27/48.31 | COMBINE_EQS: (2929), (2930) imply:
% 238.27/48.31 | (2939) all_1602_3 = all_1582_0
% 238.27/48.31 |
% 238.27/48.31 | SIMP: (2939) implies:
% 238.27/48.31 | (2940) all_1602_3 = all_1582_0
% 238.27/48.31 |
% 238.27/48.31 | COMBINE_EQS: (2935), (2936) imply:
% 238.27/48.31 | (2941) all_1622_0 = all_1552_0
% 238.27/48.31 |
% 238.27/48.31 | SIMP: (2941) implies:
% 238.27/48.31 | (2942) all_1622_0 = all_1552_0
% 238.27/48.31 |
% 238.27/48.31 | COMBINE_EQS: (2933), (2934) imply:
% 238.27/48.31 | (2943) all_1622_0 = all_1619_0
% 238.27/48.31 |
% 238.27/48.31 | SIMP: (2943) implies:
% 238.27/48.31 | (2944) all_1622_0 = all_1619_0
% 238.27/48.31 |
% 238.27/48.31 | COMBINE_EQS: (2932), (2944) imply:
% 238.27/48.31 | (2945) all_1619_0 = all_1609_1
% 238.27/48.31 |
% 238.27/48.31 | COMBINE_EQS: (2942), (2944) imply:
% 238.27/48.31 | (2946) all_1619_0 = all_1552_0
% 238.27/48.31 |
% 238.27/48.31 | COMBINE_EQS: (2931), (2944) imply:
% 238.27/48.31 | (2947) all_1619_0 = all_1617_0
% 238.27/48.31 |
% 238.27/48.31 | COMBINE_EQS: (2945), (2947) imply:
% 238.27/48.31 | (2948) all_1617_0 = all_1609_1
% 238.27/48.31 |
% 238.27/48.31 | COMBINE_EQS: (2946), (2947) imply:
% 238.27/48.31 | (2949) all_1617_0 = all_1552_0
% 238.27/48.31 |
% 238.27/48.31 | COMBINE_EQS: (2948), (2949) imply:
% 238.27/48.31 | (2950) all_1609_1 = all_1552_0
% 238.27/48.31 |
% 238.27/48.31 | COMBINE_EQS: (2925), (2926) imply:
% 238.27/48.31 | (2951) all_1584_1 = all_1530_3
% 238.27/48.31 |
% 238.27/48.31 | COMBINE_EQS: (2927), (2940) imply:
% 238.27/48.31 | (2952) all_1582_0 = all_1580_0
% 238.27/48.31 |
% 238.27/48.31 | COMBINE_EQS: (2928), (2940) imply:
% 238.27/48.31 | (2953) all_1582_0 = all_1563_1
% 238.27/48.31 |
% 238.27/48.31 | COMBINE_EQS: (2937), (2938) imply:
% 238.27/48.31 | (2954) all_1584_6 = all_1319_0
% 238.27/48.31 |
% 238.27/48.31 | COMBINE_EQS: (2952), (2953) imply:
% 238.27/48.31 | (2955) all_1580_0 = all_1563_1
% 238.27/48.31 |
% 238.27/48.31 | SIMP: (2955) implies:
% 238.27/48.31 | (2956) all_1580_0 = all_1563_1
% 238.27/48.31 |
% 238.27/48.31 | COMBINE_EQS: (2930), (2953) imply:
% 238.27/48.31 | (2957) all_1629_9 = all_1563_1
% 238.27/48.31 |
% 238.27/48.31 | REDUCE: (1106), (2957) imply:
% 238.27/48.31 | (2958) c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_1563_1) =
% 238.27/48.31 | all_1629_1
% 238.27/48.31 |
% 238.27/48.31 | REDUCE: (2309), (2925) imply:
% 238.27/48.31 | (2959) c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1139_0,
% 238.27/48.31 | all_1530_3) = all_1604_4
% 238.27/48.31 |
% 238.27/48.31 | REDUCE: (2311), (2951) imply:
% 238.27/48.31 | (2960) c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1139_0,
% 238.27/48.31 | all_1530_3) = all_1584_0
% 238.27/48.31 |
% 238.27/48.31 | REDUCE: (2829), (2957) imply:
% 238.27/48.31 | (2961) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1563_1,
% 238.27/48.31 | all_1151_0) = all_1629_5
% 238.27/48.31 |
% 238.27/48.31 | REDUCE: (1030), (2949) imply:
% 238.27/48.31 | (2962) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1617_8,
% 238.27/48.31 | all_1552_0) = 0
% 238.27/48.31 |
% 238.27/48.31 | REDUCE: (2830), (2928) imply:
% 238.27/48.31 | (2963) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1563_1,
% 238.27/48.31 | all_1151_0) = 0
% 238.27/48.31 |
% 238.27/48.31 | REDUCE: (1123), (2953) imply:
% 238.27/48.31 | (2964) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1563_1,
% 238.27/48.31 | all_1646_0) = 0
% 238.27/48.31 |
% 238.27/48.31 | REDUCE: (1119), (2956) imply:
% 238.27/48.31 | (2965) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1563_1,
% 238.27/48.31 | all_1644_0) = 0
% 238.27/48.31 |
% 238.27/48.31 | REDUCE: (2920), (2950) imply:
% 238.27/48.31 | (2966) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1530_0,
% 238.27/48.31 | all_1552_0) = all_1609_0
% 238.27/48.31 |
% 238.27/48.31 | REDUCE: (2340), (2957) imply:
% 238.27/48.31 | (2967) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.27/48.31 | all_1563_1) = all_1629_3
% 238.27/48.31 |
% 238.27/48.31 | REDUCE: (1007), (2950) imply:
% 238.27/48.31 | (2968) $i(all_1552_0)
% 238.27/48.31 |
% 238.27/48.31 | REDUCE: (939), (2951) imply:
% 238.27/48.31 | (2969) $i(all_1530_3)
% 238.27/48.31 |
% 238.27/48.31 | REDUCE: (914), (2956) imply:
% 238.27/48.31 | (2970) $i(all_1563_1)
% 238.27/48.31 |
% 238.27/48.31 | GROUND_INST: instantiating (275) with 0, all_1629_5, all_1151_0, all_1563_1,
% 238.27/48.31 | tc_RealDef_Oreal, simplifying with (2961), (2963) gives:
% 238.27/48.31 | (2971) all_1629_5 = 0
% 238.27/48.31 |
% 238.27/48.31 | GROUND_INST: instantiating (276) with all_1584_0, all_1604_4, all_1530_3,
% 238.27/48.31 | all_1139_0, tc_RealDef_Oreal, simplifying with (2959), (2960)
% 238.27/48.31 | gives:
% 238.27/48.31 | (2972) all_1604_4 = all_1584_0
% 238.27/48.31 |
% 238.27/48.31 | GROUND_INST: instantiating (89) with v_N2____, all_1563_0, simplifying with
% 238.27/48.31 | (255), (893) gives:
% 238.27/48.31 | (2973) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1563_0) = all_1563_0
% 238.27/48.31 | & $i(all_1563_0)
% 238.27/48.31 |
% 238.27/48.31 | ALPHA: (2973) implies:
% 238.27/48.31 | (2974) $i(all_1563_0)
% 238.27/48.31 |
% 238.27/48.31 | GROUND_INST: instantiating (405) with all_906_0, all_892_0, simplifying with
% 238.27/48.31 | (2337), (2346) gives:
% 238.27/48.31 | (2975) ? [v0: int] : ( ~ (v0 = 0) &
% 238.27/48.31 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.27/48.31 | all_1037_0) = v0)
% 238.27/48.31 |
% 238.27/48.31 | GROUND_INST: instantiating (89) with all_906_0, all_892_0, simplifying with
% 238.27/48.31 | (2337), (2346) gives:
% 238.27/48.31 | (2976) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_892_0) = all_892_0 &
% 238.27/48.31 | $i(all_892_0)
% 238.27/48.31 |
% 238.27/48.31 | ALPHA: (2976) implies:
% 238.27/48.31 | (2977) $i(all_892_0)
% 238.27/48.31 |
% 238.27/48.31 | GROUND_INST: instantiating (89) with all_957_1, all_898_0, simplifying with
% 238.27/48.31 | (2654), (2658) gives:
% 238.27/48.31 | (2978) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_898_0) = all_898_0 &
% 238.27/48.31 | $i(all_898_0)
% 238.27/48.31 |
% 238.27/48.31 | ALPHA: (2978) implies:
% 238.27/48.31 | (2979) $i(all_898_0)
% 238.27/48.31 |
% 238.27/48.31 | GROUND_INST: instantiating (89) with all_1151_1, all_1151_0, simplifying with
% 238.27/48.31 | (504), (2656) gives:
% 238.27/48.31 | (2980) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1151_0) = all_1151_0
% 238.27/48.31 | & $i(all_1151_0)
% 238.27/48.31 |
% 238.27/48.31 | ALPHA: (2980) implies:
% 238.27/48.31 | (2981) $i(all_1151_0)
% 238.27/48.31 |
% 238.27/48.31 | GROUND_INST: instantiating (89) with all_1530_5, all_1530_4, simplifying with
% 238.27/48.31 | (841), (2831) gives:
% 238.27/48.31 | (2982) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1530_4) = all_1530_4
% 238.27/48.31 | & $i(all_1530_4)
% 238.27/48.31 |
% 238.27/48.31 | ALPHA: (2982) implies:
% 238.27/48.31 | (2983) $i(all_1530_4)
% 238.27/48.31 |
% 238.27/48.31 | GROUND_INST: instantiating (89) with all_1644_1, all_1644_0, simplifying with
% 238.27/48.31 | (1118), (1120) gives:
% 238.27/48.31 | (2984) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1644_0) = all_1644_0
% 238.27/48.31 | & $i(all_1644_0)
% 238.27/48.31 |
% 238.27/48.31 | ALPHA: (2984) implies:
% 238.27/48.31 | (2985) $i(all_1644_0)
% 238.27/48.31 |
% 238.27/48.31 | GROUND_INST: instantiating (89) with all_1646_1, all_1646_0, simplifying with
% 238.27/48.31 | (1122), (1124) gives:
% 238.27/48.31 | (2986) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1646_0) = all_1646_0
% 238.27/48.31 | & $i(all_1646_0)
% 238.27/48.31 |
% 238.27/48.31 | ALPHA: (2986) implies:
% 238.27/48.31 | (2987) $i(all_1646_0)
% 238.27/48.31 |
% 238.27/48.31 | GROUND_INST: instantiating (fact_eq__neg__iff__add__eq__0) with all_1530_3,
% 238.27/48.31 | all_1139_0, tc_RealDef_Oreal, all_1584_0, simplifying with (252),
% 238.27/48.31 | (2344), (2960), (2969) gives:
% 238.27/48.31 | (2988) ? [v0: any] : ? [v1: $i] : ? [v2: $i] :
% 238.27/48.31 | (class_Groups_Ogroup__add(tc_RealDef_Oreal) = v0 &
% 238.27/48.31 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v2 &
% 238.27/48.31 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1530_3) = v1
% 238.27/48.31 | & $i(v2) & $i(v1) & ( ~ (v0 = 0) | (( ~ (v2 = all_1584_0) | v1 =
% 238.27/48.31 | all_1139_0) & ( ~ (v1 = all_1139_0) | v2 = all_1584_0))))
% 238.27/48.31 |
% 238.27/48.31 | GROUND_INST: instantiating (fact_minus__unique) with all_1530_3, all_1139_0,
% 238.27/48.31 | tc_RealDef_Oreal, all_1584_0, simplifying with (252), (2344),
% 238.27/48.31 | (2960), (2969) gives:
% 238.27/48.31 | (2989) ? [v0: any] : ? [v1: $i] : ? [v2: $i] :
% 238.27/48.31 | (class_Groups_Ogroup__add(tc_RealDef_Oreal) = v0 &
% 238.27/48.31 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 238.27/48.31 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1139_0) = v2
% 238.27/48.31 | & $i(v2) & $i(v1) & ( ~ (v1 = all_1584_0) | ~ (v0 = 0) | v2 =
% 238.27/48.31 | all_1530_3))
% 238.27/48.31 |
% 238.27/48.31 | GROUND_INST: instantiating (fact_add__eq__0__iff) with all_1530_3, all_1139_0,
% 238.27/48.31 | tc_RealDef_Oreal, all_1584_0, simplifying with (252), (2344),
% 238.27/48.31 | (2960), (2969) gives:
% 238.27/48.31 | (2990) ? [v0: any] : ? [v1: $i] : ? [v2: $i] :
% 238.27/48.31 | (class_Groups_Ogroup__add(tc_RealDef_Oreal) = v0 &
% 238.27/48.31 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 238.27/48.31 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1139_0) = v2
% 238.27/48.31 | & $i(v2) & $i(v1) & ( ~ (v0 = 0) | (( ~ (v2 = all_1530_3) | v1 =
% 238.27/48.31 | all_1584_0) & ( ~ (v1 = all_1584_0) | v2 = all_1530_3))))
% 238.27/48.31 |
% 238.27/48.31 | GROUND_INST: instantiating (fact_eq__neg__iff__add__eq__0) with all_1530_0,
% 238.27/48.31 | all_1139_0, tc_RealDef_Oreal, all_1586_0, simplifying with (252),
% 238.27/48.31 | (2344), (2919), (2921) gives:
% 238.27/48.31 | (2991) ? [v0: any] : ? [v1: $i] : ? [v2: $i] :
% 238.27/48.31 | (class_Groups_Ogroup__add(tc_RealDef_Oreal) = v0 &
% 238.27/48.31 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v2 &
% 238.27/48.31 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1530_0) = v1
% 238.27/48.31 | & $i(v2) & $i(v1) & ( ~ (v0 = 0) | (( ~ (v2 = all_1586_0) | v1 =
% 238.27/48.31 | all_1139_0) & ( ~ (v1 = all_1139_0) | v2 = all_1586_0))))
% 238.27/48.31 |
% 238.27/48.31 | GROUND_INST: instantiating (fact_minus__unique) with all_1530_0, all_1139_0,
% 238.27/48.31 | tc_RealDef_Oreal, all_1586_0, simplifying with (252), (2344),
% 238.27/48.31 | (2919), (2921) gives:
% 238.27/48.31 | (2992) ? [v0: any] : ? [v1: $i] : ? [v2: $i] :
% 238.27/48.31 | (class_Groups_Ogroup__add(tc_RealDef_Oreal) = v0 &
% 238.27/48.31 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 238.27/48.31 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1139_0) = v2
% 238.27/48.31 | & $i(v2) & $i(v1) & ( ~ (v1 = all_1586_0) | ~ (v0 = 0) | v2 =
% 238.27/48.31 | all_1530_0))
% 238.27/48.31 |
% 238.27/48.31 | GROUND_INST: instantiating (fact_add__eq__0__iff) with all_1530_0, all_1139_0,
% 238.27/48.31 | tc_RealDef_Oreal, all_1586_0, simplifying with (252), (2344),
% 238.27/48.31 | (2919), (2921) gives:
% 238.27/48.31 | (2993) ? [v0: any] : ? [v1: $i] : ? [v2: $i] :
% 238.27/48.31 | (class_Groups_Ogroup__add(tc_RealDef_Oreal) = v0 &
% 238.27/48.31 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 238.27/48.31 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1139_0) = v2
% 238.27/48.31 | & $i(v2) & $i(v1) & ( ~ (v0 = 0) | (( ~ (v2 = all_1530_0) | v1 =
% 238.27/48.31 | all_1586_0) & ( ~ (v1 = all_1586_0) | v2 = all_1530_0))))
% 238.27/48.31 |
% 238.27/48.31 | GROUND_INST: instantiating (fact_frac__eq__eq) with all_898_0, all_898_0,
% 238.27/48.31 | all_1151_0, all_1151_0, tc_RealDef_Oreal, all_1530_0, all_1530_0,
% 238.27/48.31 | simplifying with (252), (2826), (2979), (2981) gives:
% 238.27/48.31 | (2994) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 238.27/48.31 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.27/48.31 | all_1151_0) = v3 &
% 238.27/48.31 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.27/48.31 | all_1151_0) = v2 & class_Fields_Ofield(tc_RealDef_Oreal) = v0 &
% 238.27/48.31 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v3) &
% 238.27/48.31 | $i(v2) & $i(v1) & ( ~ (v0 = 0) | v3 = v2 | v1 = all_1151_0))
% 238.27/48.31 |
% 238.27/48.31 | GROUND_INST: instantiating (fact_mult__imp__div__pos__less) with all_1552_0,
% 238.27/48.31 | all_898_0, all_1151_0, tc_RealDef_Oreal, all_1530_0, all_1609_0,
% 238.27/48.31 | simplifying with (252), (2826), (2966), (2968), (2979), (2981)
% 238.27/48.31 | gives:
% 238.27/48.31 | (2995) all_1609_0 = 0 | ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3:
% 238.27/48.31 | $i] : ? [v4: any] :
% 238.27/48.31 | (class_Fields_Olinordered__field(tc_RealDef_Oreal) = v0 &
% 238.27/48.31 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1552_0,
% 238.27/48.31 | all_1151_0) = v3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 238.27/48.31 | = v1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 238.27/48.31 | all_1151_0) = v2 &
% 238.27/48.31 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_898_0, v3) =
% 238.27/48.31 | v4 & $i(v3) & $i(v1) & ( ~ (v4 = 0) | ~ (v2 = 0) | ~ (v0 = 0)))
% 238.27/48.31 |
% 238.27/48.31 | GROUND_INST: instantiating (fact_divide__less__eq) with all_1552_0,
% 238.27/48.31 | all_1151_0, all_898_0, tc_RealDef_Oreal, all_1530_0, all_1609_0,
% 238.27/48.31 | simplifying with (252), (2826), (2966), (2968), (2979), (2981)
% 238.27/48.31 | gives:
% 238.27/48.32 | (2996) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.32 | any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 238.27/48.32 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1552_0,
% 238.27/48.32 | all_1151_0) = v3 &
% 238.27/48.32 | class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.27/48.32 | v0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 238.27/48.32 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, all_898_0) =
% 238.27/48.32 | v6 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 238.27/48.32 | all_1552_0) = v7 &
% 238.27/48.32 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1151_0) =
% 238.27/48.32 | v2 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1151_0,
% 238.27/48.32 | v1) = v5 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.27/48.32 | all_898_0, v3) = v4 & $i(v3) & $i(v1) & ( ~ (v0 = 0) | (( ~
% 238.27/48.32 | (all_1609_0 = 0) | (( ~ (v2 = 0) | v4 = 0) & (v2 = 0 | (( ~
% 238.27/48.32 | (v5 = 0) | v6 = 0) & (v7 = 0 | v5 = 0))))) &
% 238.27/48.32 | (all_1609_0 = 0 | (v2 = 0 & ~ (v4 = 0)) | ( ~ (v2 = 0) & ((v5
% 238.27/48.32 | = 0 & ~ (v6 = 0)) | ( ~ (v7 = 0) & ~ (v5 = 0))))))))
% 238.27/48.32 |
% 238.27/48.32 | GROUND_INST: instantiating (fact_neg__divide__less__eq) with all_1552_0,
% 238.27/48.32 | all_898_0, all_1151_0, tc_RealDef_Oreal, all_1530_0, all_1609_0,
% 238.27/48.32 | simplifying with (252), (2826), (2966), (2968), (2979), (2981)
% 238.27/48.32 | gives:
% 238.27/48.32 | (2997) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.32 | any] : (class_Fields_Olinordered__field(tc_RealDef_Oreal) = v0 &
% 238.27/48.32 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1552_0,
% 238.27/48.32 | all_1151_0) = v3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 238.27/48.32 | = v1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3,
% 238.27/48.32 | all_898_0) = v4 &
% 238.27/48.32 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1151_0, v1) =
% 238.27/48.32 | v2 & $i(v3) & $i(v1) & ( ~ (v2 = 0) | ~ (v0 = 0) | (( ~ (v4 = 0)
% 238.27/48.32 | | all_1609_0 = 0) & ( ~ (all_1609_0 = 0) | v4 = 0))))
% 238.27/48.32 |
% 238.27/48.32 | GROUND_INST: instantiating (fact_pos__divide__less__eq) with all_1552_0,
% 238.27/48.32 | all_898_0, all_1151_0, tc_RealDef_Oreal, all_1530_0, all_1609_0,
% 238.27/48.32 | simplifying with (252), (2826), (2966), (2968), (2979), (2981)
% 238.27/48.32 | gives:
% 238.27/48.32 | (2998) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.32 | any] : (class_Fields_Olinordered__field(tc_RealDef_Oreal) = v0 &
% 238.27/48.32 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1552_0,
% 238.27/48.32 | all_1151_0) = v3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 238.27/48.32 | = v1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 238.27/48.32 | all_1151_0) = v2 &
% 238.27/48.32 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_898_0, v3) =
% 238.27/48.32 | v4 & $i(v3) & $i(v1) & ( ~ (v2 = 0) | ~ (v0 = 0) | (( ~ (v4 = 0)
% 238.27/48.32 | | all_1609_0 = 0) & ( ~ (all_1609_0 = 0) | v4 = 0))))
% 238.27/48.32 |
% 238.27/48.32 | GROUND_INST: instantiating (fact_right__inverse__eq) with all_898_0,
% 238.27/48.32 | all_1151_0, tc_RealDef_Oreal, all_1530_0, simplifying with (252),
% 238.27/48.32 | (2826), (2979), (2981) gives:
% 238.27/48.32 | (2999) ? [v0: any] : ? [v1: $i] : ? [v2: $i] :
% 238.27/48.32 | (class_Rings_Odivision__ring(tc_RealDef_Oreal) = v0 &
% 238.27/48.32 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v2 &
% 238.27/48.32 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v2) &
% 238.27/48.32 | $i(v1) & ( ~ (v0 = 0) | v1 = all_1151_0 | (( ~ (v2 = all_1530_0) |
% 238.27/48.32 | all_1151_0 = all_898_0) & ( ~ (all_1151_0 = all_898_0) | v2
% 238.27/48.32 | = all_1530_0))))
% 238.27/48.32 |
% 238.27/48.32 | GROUND_INST: instantiating (fact_frac__eq__eq) with all_898_0, all_898_0,
% 238.27/48.32 | all_1530_4, all_1530_4, tc_RealDef_Oreal, all_1530_3, all_1530_3,
% 238.27/48.32 | simplifying with (252), (2307), (2979), (2983) gives:
% 238.27/48.32 | (3000) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 238.27/48.32 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.27/48.32 | all_1530_4) = v3 &
% 238.27/48.32 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.27/48.32 | all_1530_4) = v2 & class_Fields_Ofield(tc_RealDef_Oreal) = v0 &
% 238.27/48.32 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v3) &
% 238.27/48.32 | $i(v2) & $i(v1) & ( ~ (v0 = 0) | v3 = v2 | v1 = all_1530_4))
% 238.27/48.32 |
% 238.27/48.32 | GROUND_INST: instantiating (fact_frac__eq__eq) with all_898_0, all_898_0,
% 238.27/48.32 | all_1151_0, all_1530_4, tc_RealDef_Oreal, all_1530_3, all_1530_0,
% 238.27/48.32 | simplifying with (252), (2307), (2826), (2979), (2981), (2983)
% 238.27/48.32 | gives:
% 238.27/48.32 | (3001) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 238.27/48.32 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.27/48.32 | all_1530_4) = v3 &
% 238.27/48.32 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.27/48.32 | all_1151_0) = v2 & class_Fields_Ofield(tc_RealDef_Oreal) = v0 &
% 238.27/48.32 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v3) &
% 238.27/48.32 | $i(v2) & $i(v1) & ( ~ (v0 = 0) | v1 = all_1530_4 | v1 = all_1151_0
% 238.27/48.32 | | (( ~ (v3 = v2) | all_1530_0 = all_1530_3) & ( ~ (all_1530_0 =
% 238.27/48.32 | all_1530_3) | v3 = v2))))
% 238.27/48.32 |
% 238.27/48.32 | GROUND_INST: instantiating (fact_frac__eq__eq) with all_898_0, all_898_0,
% 238.27/48.32 | all_1530_4, all_1151_0, tc_RealDef_Oreal, all_1530_0, all_1530_3,
% 238.27/48.32 | simplifying with (252), (2307), (2826), (2979), (2981), (2983)
% 238.27/48.32 | gives:
% 238.27/48.32 | (3002) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 238.27/48.32 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.27/48.32 | all_1530_4) = v2 &
% 238.27/48.32 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.27/48.32 | all_1151_0) = v3 & class_Fields_Ofield(tc_RealDef_Oreal) = v0 &
% 238.27/48.32 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v3) &
% 238.27/48.32 | $i(v2) & $i(v1) & ( ~ (v0 = 0) | v1 = all_1530_4 | v1 = all_1151_0
% 238.27/48.32 | | (( ~ (v3 = v2) | all_1530_0 = all_1530_3) & ( ~ (all_1530_0 =
% 238.27/48.32 | all_1530_3) | v3 = v2))))
% 238.27/48.32 |
% 238.27/48.32 | GROUND_INST: instantiating (fact_right__inverse__eq) with all_898_0,
% 238.27/48.32 | all_1530_4, tc_RealDef_Oreal, all_1530_3, simplifying with (252),
% 238.27/48.32 | (2307), (2979), (2983) gives:
% 238.27/48.32 | (3003) ? [v0: any] : ? [v1: $i] : ? [v2: $i] :
% 238.27/48.32 | (class_Rings_Odivision__ring(tc_RealDef_Oreal) = v0 &
% 238.27/48.32 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v2 &
% 238.27/48.32 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v2) &
% 238.27/48.32 | $i(v1) & ( ~ (v0 = 0) | v1 = all_1530_4 | (( ~ (v2 = all_1530_3) |
% 238.27/48.32 | all_1530_4 = all_898_0) & ( ~ (all_1530_4 = all_898_0) | v2
% 238.27/48.32 | = all_1530_3))))
% 238.27/48.32 |
% 238.27/48.32 | GROUND_INST: instantiating (fact_frac__eq__eq) with all_1168_0, all_1168_0,
% 238.27/48.32 | all_1293_0, all_1293_0, tc_RealDef_Oreal, all_1563_1, all_1563_1,
% 238.27/48.32 | simplifying with (252), (2834), (2915), (2923) gives:
% 238.27/48.32 | (3004) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 238.27/48.32 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1168_0,
% 238.27/48.32 | all_1293_0) = v3 &
% 238.27/48.32 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1168_0,
% 238.27/48.32 | all_1293_0) = v2 & class_Fields_Ofield(tc_RealDef_Oreal) = v0 &
% 238.27/48.32 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v3) &
% 238.27/48.32 | $i(v2) & $i(v1) & ( ~ (v0 = 0) | v3 = v2 | v1 = all_1293_0))
% 238.27/48.32 |
% 238.27/48.32 | GROUND_INST: instantiating (fact_frac__eq__eq) with all_898_0, all_1168_0,
% 238.27/48.32 | all_1530_4, all_1293_0, tc_RealDef_Oreal, all_1563_1, all_1530_3,
% 238.27/48.32 | simplifying with (252), (2307), (2834), (2915), (2923), (2979),
% 238.27/48.32 | (2983) gives:
% 238.27/48.32 | (3005) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 238.27/48.32 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1168_0,
% 238.27/48.32 | all_1530_4) = v2 &
% 238.27/48.32 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.27/48.32 | all_1293_0) = v3 & class_Fields_Ofield(tc_RealDef_Oreal) = v0 &
% 238.27/48.32 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v3) &
% 238.27/48.32 | $i(v2) & $i(v1) & ( ~ (v0 = 0) | v1 = all_1530_4 | v1 = all_1293_0
% 238.27/48.32 | | (( ~ (v3 = v2) | all_1563_1 = all_1530_3) & ( ~ (all_1563_1 =
% 238.27/48.32 | all_1530_3) | v3 = v2))))
% 238.27/48.32 |
% 238.27/48.32 | GROUND_INST: instantiating (fact_frac__eq__eq) with all_1168_0, all_898_0,
% 238.27/48.32 | all_1293_0, all_1530_4, tc_RealDef_Oreal, all_1530_3, all_1563_1,
% 238.27/48.32 | simplifying with (252), (2307), (2834), (2915), (2923), (2979),
% 238.27/48.32 | (2983) gives:
% 238.27/48.32 | (3006) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 238.27/48.32 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1168_0,
% 238.27/48.32 | all_1530_4) = v3 &
% 238.27/48.32 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.27/48.32 | all_1293_0) = v2 & class_Fields_Ofield(tc_RealDef_Oreal) = v0 &
% 238.27/48.32 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v3) &
% 238.27/48.32 | $i(v2) & $i(v1) & ( ~ (v0 = 0) | v1 = all_1530_4 | v1 = all_1293_0
% 238.27/48.32 | | (( ~ (v3 = v2) | all_1563_1 = all_1530_3) & ( ~ (all_1563_1 =
% 238.27/48.32 | all_1530_3) | v3 = v2))))
% 238.27/48.32 |
% 238.27/48.32 | GROUND_INST: instantiating (fact_frac__eq__eq) with all_898_0, all_1168_0,
% 238.27/48.32 | all_1151_0, all_1293_0, tc_RealDef_Oreal, all_1563_1, all_1530_0,
% 238.27/48.32 | simplifying with (252), (2826), (2834), (2915), (2923), (2979),
% 238.27/48.32 | (2981) gives:
% 238.27/48.32 | (3007) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 238.27/48.32 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1168_0,
% 238.27/48.32 | all_1151_0) = v2 &
% 238.27/48.32 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.27/48.32 | all_1293_0) = v3 & class_Fields_Ofield(tc_RealDef_Oreal) = v0 &
% 238.27/48.32 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v3) &
% 238.27/48.32 | $i(v2) & $i(v1) & ( ~ (v0 = 0) | v1 = all_1293_0 | v1 = all_1151_0
% 238.27/48.32 | | (( ~ (v3 = v2) | all_1563_1 = all_1530_0) & ( ~ (all_1563_1 =
% 238.27/48.32 | all_1530_0) | v3 = v2))))
% 238.27/48.32 |
% 238.27/48.32 | GROUND_INST: instantiating (fact_frac__eq__eq) with all_1168_0, all_898_0,
% 238.27/48.32 | all_1293_0, all_1151_0, tc_RealDef_Oreal, all_1530_0, all_1563_1,
% 238.27/48.32 | simplifying with (252), (2826), (2834), (2915), (2923), (2979),
% 238.27/48.32 | (2981) gives:
% 238.27/48.32 | (3008) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 238.27/48.32 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1168_0,
% 238.27/48.32 | all_1151_0) = v3 &
% 238.27/48.32 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.27/48.32 | all_1293_0) = v2 & class_Fields_Ofield(tc_RealDef_Oreal) = v0 &
% 238.27/48.32 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v3) &
% 238.27/48.32 | $i(v2) & $i(v1) & ( ~ (v0 = 0) | v1 = all_1293_0 | v1 = all_1151_0
% 238.27/48.32 | | (( ~ (v3 = v2) | all_1563_1 = all_1530_0) & ( ~ (all_1563_1 =
% 238.27/48.32 | all_1530_0) | v3 = v2))))
% 238.27/48.32 |
% 238.27/48.32 | GROUND_INST: instantiating (fact_divide__less__eq) with all_1646_0,
% 238.27/48.32 | all_1293_0, all_1168_0, tc_RealDef_Oreal, all_1563_1, 0,
% 238.27/48.32 | simplifying with (252), (2834), (2915), (2923), (2964), (2987)
% 238.27/48.32 | gives:
% 238.27/48.32 | (3009) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.32 | any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 238.27/48.32 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1646_0,
% 238.27/48.32 | all_1293_0) = v3 &
% 238.27/48.32 | class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.27/48.32 | v0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 238.27/48.32 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, all_1168_0) =
% 238.27/48.32 | v6 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 238.27/48.32 | all_1646_0) = v7 &
% 238.27/48.32 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1293_0) =
% 238.27/48.32 | v2 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.27/48.32 | v1) = v5 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.27/48.32 | all_1168_0, v3) = v4 & $i(v3) & $i(v1) & ( ~ (v0 = 0) | (( ~ (v2
% 238.27/48.32 | = 0) | v4 = 0) & (v2 = 0 | (( ~ (v5 = 0) | v6 = 0) & (v7 =
% 238.27/48.32 | 0 | v5 = 0))))))
% 238.27/48.32 |
% 238.27/48.32 | GROUND_INST: instantiating (fact_neg__divide__less__eq) with all_1646_0,
% 238.27/48.32 | all_1168_0, all_1293_0, tc_RealDef_Oreal, all_1563_1, 0,
% 238.27/48.32 | simplifying with (252), (2834), (2915), (2923), (2964), (2987)
% 238.27/48.32 | gives:
% 238.27/48.32 | (3010) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.32 | any] : (class_Fields_Olinordered__field(tc_RealDef_Oreal) = v0 &
% 238.27/48.32 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1646_0,
% 238.27/48.32 | all_1293_0) = v3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 238.27/48.32 | = v1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3,
% 238.27/48.32 | all_1168_0) = v4 &
% 238.27/48.32 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0, v1) =
% 238.27/48.32 | v2 & $i(v3) & $i(v1) & ( ~ (v2 = 0) | ~ (v0 = 0) | v4 = 0))
% 238.27/48.32 |
% 238.27/48.32 | GROUND_INST: instantiating (fact_pos__divide__less__eq) with all_1646_0,
% 238.27/48.32 | all_1168_0, all_1293_0, tc_RealDef_Oreal, all_1563_1, 0,
% 238.27/48.32 | simplifying with (252), (2834), (2915), (2923), (2964), (2987)
% 238.27/48.32 | gives:
% 238.27/48.32 | (3011) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.32 | any] : (class_Fields_Olinordered__field(tc_RealDef_Oreal) = v0 &
% 238.27/48.32 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1646_0,
% 238.27/48.32 | all_1293_0) = v3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 238.27/48.32 | = v1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 238.27/48.32 | all_1293_0) = v2 &
% 238.27/48.32 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0, v3) =
% 238.27/48.32 | v4 & $i(v3) & $i(v1) & ( ~ (v2 = 0) | ~ (v0 = 0) | v4 = 0))
% 238.27/48.32 |
% 238.27/48.32 | GROUND_INST: instantiating (fact_divide__less__eq) with all_1644_0,
% 238.27/48.32 | all_1293_0, all_1168_0, tc_RealDef_Oreal, all_1563_1, 0,
% 238.27/48.32 | simplifying with (252), (2834), (2915), (2923), (2965), (2985)
% 238.27/48.32 | gives:
% 238.27/48.33 | (3012) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.33 | any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 238.27/48.33 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1644_0,
% 238.27/48.33 | all_1293_0) = v3 &
% 238.27/48.33 | class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.27/48.33 | v0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 238.27/48.33 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, all_1168_0) =
% 238.27/48.33 | v6 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 238.27/48.33 | all_1644_0) = v7 &
% 238.27/48.33 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1293_0) =
% 238.27/48.33 | v2 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.27/48.33 | v1) = v5 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.27/48.33 | all_1168_0, v3) = v4 & $i(v3) & $i(v1) & ( ~ (v0 = 0) | (( ~ (v2
% 238.27/48.33 | = 0) | v4 = 0) & (v2 = 0 | (( ~ (v5 = 0) | v6 = 0) & (v7 =
% 238.27/48.33 | 0 | v5 = 0))))))
% 238.27/48.33 |
% 238.27/48.33 | GROUND_INST: instantiating (fact_neg__divide__less__eq) with all_1644_0,
% 238.27/48.33 | all_1168_0, all_1293_0, tc_RealDef_Oreal, all_1563_1, 0,
% 238.27/48.33 | simplifying with (252), (2834), (2915), (2923), (2965), (2985)
% 238.27/48.33 | gives:
% 238.27/48.33 | (3013) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.33 | any] : (class_Fields_Olinordered__field(tc_RealDef_Oreal) = v0 &
% 238.27/48.33 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1644_0,
% 238.27/48.33 | all_1293_0) = v3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 238.27/48.33 | = v1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3,
% 238.27/48.33 | all_1168_0) = v4 &
% 238.27/48.33 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0, v1) =
% 238.27/48.33 | v2 & $i(v3) & $i(v1) & ( ~ (v2 = 0) | ~ (v0 = 0) | v4 = 0))
% 238.27/48.33 |
% 238.27/48.33 | GROUND_INST: instantiating (fact_pos__divide__less__eq) with all_1644_0,
% 238.27/48.33 | all_1168_0, all_1293_0, tc_RealDef_Oreal, all_1563_1, 0,
% 238.27/48.33 | simplifying with (252), (2834), (2915), (2923), (2965), (2985)
% 238.27/48.33 | gives:
% 238.27/48.33 | (3014) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.33 | any] : (class_Fields_Olinordered__field(tc_RealDef_Oreal) = v0 &
% 238.27/48.33 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1644_0,
% 238.27/48.33 | all_1293_0) = v3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 238.27/48.33 | = v1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 238.27/48.33 | all_1293_0) = v2 &
% 238.27/48.33 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0, v3) =
% 238.27/48.33 | v4 & $i(v3) & $i(v1) & ( ~ (v2 = 0) | ~ (v0 = 0) | v4 = 0))
% 238.27/48.33 |
% 238.27/48.33 | GROUND_INST: instantiating (fact_divide__less__eq) with all_1563_0,
% 238.27/48.33 | all_1293_0, all_1168_0, tc_RealDef_Oreal, all_1563_1, 0,
% 238.27/48.33 | simplifying with (252), (892), (2834), (2915), (2923), (2974)
% 238.27/48.33 | gives:
% 238.27/48.33 | (3015) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.33 | any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 238.27/48.33 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1563_0,
% 238.27/48.33 | all_1293_0) = v3 &
% 238.27/48.33 | class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.27/48.33 | v0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 238.27/48.33 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, all_1168_0) =
% 238.27/48.33 | v6 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 238.27/48.33 | all_1563_0) = v7 &
% 238.27/48.33 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1293_0) =
% 238.27/48.33 | v2 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.27/48.33 | v1) = v5 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.27/48.33 | all_1168_0, v3) = v4 & $i(v3) & $i(v1) & ( ~ (v0 = 0) | (( ~ (v2
% 238.27/48.33 | = 0) | v4 = 0) & (v2 = 0 | (( ~ (v5 = 0) | v6 = 0) & (v7 =
% 238.27/48.33 | 0 | v5 = 0))))))
% 238.27/48.33 |
% 238.27/48.33 | GROUND_INST: instantiating (fact_neg__divide__less__eq) with all_1563_0,
% 238.27/48.33 | all_1168_0, all_1293_0, tc_RealDef_Oreal, all_1563_1, 0,
% 238.27/48.33 | simplifying with (252), (892), (2834), (2915), (2923), (2974)
% 238.27/48.33 | gives:
% 238.27/48.33 | (3016) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.33 | any] : (class_Fields_Olinordered__field(tc_RealDef_Oreal) = v0 &
% 238.27/48.33 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1563_0,
% 238.27/48.33 | all_1293_0) = v3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 238.27/48.33 | = v1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3,
% 238.27/48.33 | all_1168_0) = v4 &
% 238.27/48.33 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0, v1) =
% 238.27/48.33 | v2 & $i(v3) & $i(v1) & ( ~ (v2 = 0) | ~ (v0 = 0) | v4 = 0))
% 238.27/48.33 |
% 238.27/48.33 | GROUND_INST: instantiating (fact_pos__divide__less__eq) with all_1563_0,
% 238.27/48.33 | all_1168_0, all_1293_0, tc_RealDef_Oreal, all_1563_1, 0,
% 238.27/48.33 | simplifying with (252), (892), (2834), (2915), (2923), (2974)
% 238.27/48.33 | gives:
% 238.27/48.33 | (3017) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.33 | any] : (class_Fields_Olinordered__field(tc_RealDef_Oreal) = v0 &
% 238.27/48.33 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1563_0,
% 238.27/48.33 | all_1293_0) = v3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 238.27/48.33 | = v1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 238.27/48.33 | all_1293_0) = v2 &
% 238.27/48.33 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0, v3) =
% 238.27/48.33 | v4 & $i(v3) & $i(v1) & ( ~ (v2 = 0) | ~ (v0 = 0) | v4 = 0))
% 238.27/48.33 |
% 238.27/48.33 | GROUND_INST: instantiating (fact_divide__less__eq) with all_1151_0,
% 238.27/48.33 | all_1293_0, all_1168_0, tc_RealDef_Oreal, all_1563_1, 0,
% 238.27/48.33 | simplifying with (252), (2834), (2915), (2923), (2963), (2981)
% 238.27/48.33 | gives:
% 238.27/48.33 | (3018) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.33 | any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 238.27/48.33 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1151_0,
% 238.27/48.33 | all_1293_0) = v3 &
% 238.27/48.33 | class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.27/48.33 | v0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 238.27/48.33 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, all_1168_0) =
% 238.27/48.33 | v6 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 238.27/48.33 | all_1293_0) = v2 &
% 238.27/48.33 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1151_0) =
% 238.27/48.33 | v7 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.27/48.33 | v1) = v5 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.27/48.33 | all_1168_0, v3) = v4 & $i(v3) & $i(v1) & ( ~ (v0 = 0) | (( ~ (v2
% 238.27/48.33 | = 0) | v4 = 0) & (v2 = 0 | (( ~ (v5 = 0) | v6 = 0) & (v7 =
% 238.27/48.33 | 0 | v5 = 0))))))
% 238.27/48.33 |
% 238.27/48.33 | GROUND_INST: instantiating (fact_neg__divide__less__eq) with all_1151_0,
% 238.27/48.33 | all_1168_0, all_1293_0, tc_RealDef_Oreal, all_1563_1, 0,
% 238.27/48.33 | simplifying with (252), (2834), (2915), (2923), (2963), (2981)
% 238.27/48.33 | gives:
% 238.27/48.33 | (3019) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.33 | any] : (class_Fields_Olinordered__field(tc_RealDef_Oreal) = v0 &
% 238.27/48.33 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1151_0,
% 238.27/48.33 | all_1293_0) = v3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 238.27/48.33 | = v1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3,
% 238.27/48.33 | all_1168_0) = v4 &
% 238.27/48.33 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0, v1) =
% 238.27/48.33 | v2 & $i(v3) & $i(v1) & ( ~ (v2 = 0) | ~ (v0 = 0) | v4 = 0))
% 238.27/48.33 |
% 238.27/48.33 | GROUND_INST: instantiating (fact_pos__divide__less__eq) with all_1151_0,
% 238.27/48.33 | all_1168_0, all_1293_0, tc_RealDef_Oreal, all_1563_1, 0,
% 238.27/48.33 | simplifying with (252), (2834), (2915), (2923), (2963), (2981)
% 238.27/48.33 | gives:
% 238.27/48.33 | (3020) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.33 | any] : (class_Fields_Olinordered__field(tc_RealDef_Oreal) = v0 &
% 238.27/48.33 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1151_0,
% 238.27/48.33 | all_1293_0) = v3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 238.27/48.33 | = v1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 238.27/48.33 | all_1293_0) = v2 &
% 238.27/48.33 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0, v3) =
% 238.27/48.33 | v4 & $i(v3) & $i(v1) & ( ~ (v2 = 0) | ~ (v0 = 0) | v4 = 0))
% 238.27/48.33 |
% 238.27/48.33 | GROUND_INST: instantiating (fact_less__divide__eq) with all_1293_0,
% 238.27/48.33 | all_1168_0, all_892_0, tc_RealDef_Oreal, all_1563_1, all_1629_3,
% 238.27/48.33 | simplifying with (252), (2834), (2915), (2923), (2967), (2977)
% 238.27/48.33 | gives:
% 238.27/48.33 | (3021) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.33 | any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 238.27/48.33 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_892_0,
% 238.27/48.33 | all_1293_0) = v3 &
% 238.27/48.33 | class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.27/48.33 | v0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 238.27/48.33 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, all_1168_0) =
% 238.27/48.33 | v4 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 238.27/48.33 | all_1293_0) = v2 &
% 238.27/48.33 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0, v1) =
% 238.27/48.33 | v5 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.27/48.33 | v3) = v6 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.27/48.33 | all_892_0, v1) = v7 & $i(v3) & $i(v1) & ( ~ (v0 = 0) | (( ~
% 238.27/48.33 | (all_1629_3 = 0) | (( ~ (v2 = 0) | v4 = 0) & (v2 = 0 | (( ~
% 238.27/48.33 | (v5 = 0) | v6 = 0) & (v7 = 0 | v5 = 0))))) &
% 238.27/48.33 | (all_1629_3 = 0 | (v2 = 0 & ~ (v4 = 0)) | ( ~ (v2 = 0) & ((v5
% 238.27/48.33 | = 0 & ~ (v6 = 0)) | ( ~ (v7 = 0) & ~ (v5 = 0))))))))
% 238.27/48.33 |
% 238.27/48.33 | GROUND_INST: instantiating (fact_pos__less__divide__eq) with all_1168_0,
% 238.27/48.33 | all_892_0, all_1293_0, tc_RealDef_Oreal, all_1563_1, all_1629_3,
% 238.27/48.33 | simplifying with (252), (2834), (2915), (2923), (2967), (2977)
% 238.27/48.33 | gives:
% 238.27/48.33 | (3022) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.33 | any] : (class_Fields_Olinordered__field(tc_RealDef_Oreal) = v0 &
% 238.27/48.33 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_892_0,
% 238.27/48.33 | all_1293_0) = v3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 238.27/48.33 | = v1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3,
% 238.27/48.33 | all_1168_0) = v4 &
% 238.27/48.33 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1293_0) =
% 238.27/48.33 | v2 & $i(v3) & $i(v1) & ( ~ (v2 = 0) | ~ (v0 = 0) | (( ~ (v4 = 0)
% 238.27/48.33 | | all_1629_3 = 0) & ( ~ (all_1629_3 = 0) | v4 = 0))))
% 238.27/48.33 |
% 238.27/48.33 | GROUND_INST: instantiating (fact_neg__less__divide__eq) with all_1168_0,
% 238.27/48.33 | all_892_0, all_1293_0, tc_RealDef_Oreal, all_1563_1, all_1629_3,
% 238.27/48.33 | simplifying with (252), (2834), (2915), (2923), (2967), (2977)
% 238.27/48.33 | gives:
% 238.27/48.33 | (3023) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.33 | any] : (class_Fields_Olinordered__field(tc_RealDef_Oreal) = v0 &
% 238.27/48.33 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_892_0,
% 238.27/48.33 | all_1293_0) = v3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 238.27/48.33 | = v1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.27/48.33 | v1) = v2 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.27/48.33 | all_1168_0, v3) = v4 & $i(v3) & $i(v1) & ( ~ (v2 = 0) | ~ (v0 =
% 238.27/48.33 | 0) | (( ~ (v4 = 0) | all_1629_3 = 0) & ( ~ (all_1629_3 = 0) |
% 238.27/48.33 | v4 = 0))))
% 238.27/48.33 |
% 238.27/48.33 | GROUND_INST: instantiating (fact_right__inverse__eq) with all_1168_0,
% 238.27/48.33 | all_1293_0, tc_RealDef_Oreal, all_1563_1, simplifying with (252),
% 238.27/48.33 | (2834), (2915), (2923) gives:
% 238.27/48.33 | (3024) ? [v0: any] : ? [v1: $i] : ? [v2: $i] :
% 238.27/48.33 | (class_Rings_Odivision__ring(tc_RealDef_Oreal) = v0 &
% 238.27/48.33 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v2 &
% 238.27/48.33 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v2) &
% 238.27/48.33 | $i(v1) & ( ~ (v0 = 0) | v1 = all_1293_0 | (( ~ (v2 = all_1563_1) |
% 238.27/48.33 | all_1293_0 = all_1168_0) & ( ~ (all_1293_0 = all_1168_0) |
% 238.27/48.33 | v2 = all_1563_1))))
% 238.27/48.33 |
% 238.27/48.33 | GROUND_INST: instantiating (fact_frac__eq__eq) with all_1293_0, all_1293_0,
% 238.27/48.33 | all_1168_0, all_1168_0, tc_RealDef_Oreal, all_1552_0, all_1552_0,
% 238.27/48.33 | simplifying with (252), (2834), (2910), (2923) gives:
% 238.27/48.33 | (3025) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 238.27/48.33 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1293_0,
% 238.27/48.33 | all_1168_0) = v3 &
% 238.27/48.33 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1293_0,
% 238.27/48.33 | all_1168_0) = v2 & class_Fields_Ofield(tc_RealDef_Oreal) = v0 &
% 238.27/48.33 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v3) &
% 238.27/48.33 | $i(v2) & $i(v1) & ( ~ (v0 = 0) | v3 = v2 | v1 = all_1168_0))
% 238.27/48.33 |
% 238.27/48.33 | GROUND_INST: instantiating (fact_frac__eq__eq) with all_1168_0, all_1293_0,
% 238.27/48.33 | all_1293_0, all_1168_0, tc_RealDef_Oreal, all_1552_0, all_1563_1,
% 238.27/48.33 | simplifying with (252), (2834), (2910), (2915), (2923) gives:
% 238.27/48.33 | (3026) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 238.27/48.33 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1293_0,
% 238.27/48.33 | all_1293_0) = v2 &
% 238.27/48.33 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1168_0,
% 238.27/48.33 | all_1168_0) = v3 & class_Fields_Ofield(tc_RealDef_Oreal) = v0 &
% 238.27/48.33 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v3) &
% 238.27/48.33 | $i(v2) & $i(v1) & ( ~ (v0 = 0) | v1 = all_1293_0 | v1 = all_1168_0
% 238.27/48.33 | | (( ~ (v3 = v2) | all_1563_1 = all_1552_0) & ( ~ (all_1563_1 =
% 238.27/48.33 | all_1552_0) | v3 = v2))))
% 238.27/48.33 |
% 238.27/48.33 | GROUND_INST: instantiating (fact_frac__eq__eq) with all_1293_0, all_1168_0,
% 238.27/48.33 | all_1168_0, all_1293_0, tc_RealDef_Oreal, all_1563_1, all_1552_0,
% 238.27/48.33 | simplifying with (252), (2834), (2910), (2915), (2923) gives:
% 238.27/48.33 | (3027) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 238.27/48.33 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1293_0,
% 238.27/48.33 | all_1293_0) = v3 &
% 238.27/48.33 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1168_0,
% 238.27/48.33 | all_1168_0) = v2 & class_Fields_Ofield(tc_RealDef_Oreal) = v0 &
% 238.27/48.33 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v3) &
% 238.27/48.33 | $i(v2) & $i(v1) & ( ~ (v0 = 0) | v1 = all_1293_0 | v1 = all_1168_0
% 238.27/48.33 | | (( ~ (v3 = v2) | all_1563_1 = all_1552_0) & ( ~ (all_1563_1 =
% 238.27/48.33 | all_1552_0) | v3 = v2))))
% 238.27/48.33 |
% 238.27/48.34 | GROUND_INST: instantiating (fact_frac__eq__eq) with all_898_0, all_1293_0,
% 238.27/48.34 | all_1530_4, all_1168_0, tc_RealDef_Oreal, all_1552_0, all_1530_3,
% 238.27/48.34 | simplifying with (252), (2307), (2834), (2910), (2923), (2979),
% 238.27/48.34 | (2983) gives:
% 238.27/48.34 | (3028) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 238.27/48.34 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1293_0,
% 238.27/48.34 | all_1530_4) = v2 &
% 238.27/48.34 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.27/48.34 | all_1168_0) = v3 & class_Fields_Ofield(tc_RealDef_Oreal) = v0 &
% 238.27/48.34 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v3) &
% 238.27/48.34 | $i(v2) & $i(v1) & ( ~ (v0 = 0) | v1 = all_1530_4 | v1 = all_1168_0
% 238.27/48.34 | | (( ~ (v3 = v2) | all_1552_0 = all_1530_3) & ( ~ (all_1552_0 =
% 238.27/48.34 | all_1530_3) | v3 = v2))))
% 238.27/48.34 |
% 238.27/48.34 | GROUND_INST: instantiating (fact_frac__eq__eq) with all_1293_0, all_898_0,
% 238.27/48.34 | all_1168_0, all_1530_4, tc_RealDef_Oreal, all_1530_3, all_1552_0,
% 238.27/48.34 | simplifying with (252), (2307), (2834), (2910), (2923), (2979),
% 238.27/48.34 | (2983) gives:
% 238.27/48.34 | (3029) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 238.27/48.34 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1293_0,
% 238.27/48.34 | all_1530_4) = v3 &
% 238.27/48.34 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.27/48.34 | all_1168_0) = v2 & class_Fields_Ofield(tc_RealDef_Oreal) = v0 &
% 238.27/48.34 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v3) &
% 238.27/48.34 | $i(v2) & $i(v1) & ( ~ (v0 = 0) | v1 = all_1530_4 | v1 = all_1168_0
% 238.27/48.34 | | (( ~ (v3 = v2) | all_1552_0 = all_1530_3) & ( ~ (all_1552_0 =
% 238.27/48.34 | all_1530_3) | v3 = v2))))
% 238.27/48.34 |
% 238.27/48.34 | GROUND_INST: instantiating (fact_frac__less) with all_1151_0, all_1168_0,
% 238.27/48.34 | all_1293_0, all_898_0, tc_RealDef_Oreal, all_1530_0, all_1552_0,
% 238.27/48.34 | all_1609_0, simplifying with (252), (2826), (2834), (2910),
% 238.27/48.34 | (2923), (2966), (2979), (2981) gives:
% 238.27/48.34 | (3030) all_1609_0 = 0 | ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3:
% 238.27/48.34 | any] : ? [v4: any] : ? [v5: any] :
% 238.27/48.34 | (class_Fields_Olinordered__field(tc_RealDef_Oreal) = v0 &
% 238.27/48.34 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, all_898_0)
% 238.27/48.34 | = v2 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 238.27/48.34 | all_1168_0, all_1151_0) = v5 &
% 238.27/48.34 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 238.27/48.34 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1168_0) =
% 238.27/48.34 | v4 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_898_0,
% 238.27/48.34 | all_1293_0) = v3 & $i(v1) & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3
% 238.27/48.34 | = 0) | ~ (v2 = 0) | ~ (v0 = 0)))
% 238.27/48.34 |
% 238.27/48.34 | GROUND_INST: instantiating (fact_frac__less2) with all_1151_0, all_1168_0,
% 238.27/48.34 | all_1293_0, all_898_0, tc_RealDef_Oreal, all_1530_0, all_1552_0,
% 238.27/48.34 | all_1609_0, simplifying with (252), (2826), (2834), (2910),
% 238.27/48.34 | (2923), (2966), (2979), (2981) gives:
% 238.27/48.34 | (3031) all_1609_0 = 0 | ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3:
% 238.27/48.34 | any] : ? [v4: any] : ? [v5: any] :
% 238.27/48.34 | (class_Fields_Olinordered__field(tc_RealDef_Oreal) = v0 &
% 238.27/48.34 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_898_0,
% 238.27/48.34 | all_1293_0) = v3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 238.27/48.34 | = v1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 238.27/48.34 | all_1168_0) = v4 &
% 238.27/48.34 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_898_0) =
% 238.27/48.34 | v2 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.27/48.34 | all_1151_0) = v5 & $i(v1) & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3
% 238.27/48.34 | = 0) | ~ (v2 = 0) | ~ (v0 = 0)))
% 238.27/48.34 |
% 238.27/48.34 | GROUND_INST: instantiating (fact_frac__eq__eq) with all_898_0, all_1293_0,
% 238.27/48.34 | all_1151_0, all_1168_0, tc_RealDef_Oreal, all_1552_0, all_1530_0,
% 238.27/48.34 | simplifying with (252), (2826), (2834), (2910), (2923), (2979),
% 238.27/48.34 | (2981) gives:
% 238.27/48.34 | (3032) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 238.27/48.34 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1293_0,
% 238.27/48.34 | all_1151_0) = v2 &
% 238.27/48.34 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.27/48.34 | all_1168_0) = v3 & class_Fields_Ofield(tc_RealDef_Oreal) = v0 &
% 238.27/48.34 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v3) &
% 238.27/48.34 | $i(v2) & $i(v1) & ( ~ (v0 = 0) | v1 = all_1168_0 | v1 = all_1151_0
% 238.27/48.34 | | (( ~ (v3 = v2) | all_1552_0 = all_1530_0) & ( ~ (all_1552_0 =
% 238.27/48.34 | all_1530_0) | v3 = v2))))
% 238.27/48.34 |
% 238.27/48.34 | GROUND_INST: instantiating (fact_frac__eq__eq) with all_1293_0, all_898_0,
% 238.27/48.34 | all_1168_0, all_1151_0, tc_RealDef_Oreal, all_1530_0, all_1552_0,
% 238.27/48.34 | simplifying with (252), (2826), (2834), (2910), (2923), (2979),
% 238.27/48.34 | (2981) gives:
% 238.27/48.34 | (3033) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 238.27/48.34 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1293_0,
% 238.27/48.34 | all_1151_0) = v3 &
% 238.27/48.34 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.27/48.34 | all_1168_0) = v2 & class_Fields_Ofield(tc_RealDef_Oreal) = v0 &
% 238.27/48.34 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v3) &
% 238.27/48.34 | $i(v2) & $i(v1) & ( ~ (v0 = 0) | v1 = all_1168_0 | v1 = all_1151_0
% 238.27/48.34 | | (( ~ (v3 = v2) | all_1552_0 = all_1530_0) & ( ~ (all_1552_0 =
% 238.27/48.34 | all_1530_0) | v3 = v2))))
% 238.27/48.34 |
% 238.27/48.34 | GROUND_INST: instantiating (fact_less__divide__eq) with all_1168_0,
% 238.27/48.34 | all_1293_0, all_1617_8, tc_RealDef_Oreal, all_1552_0, 0,
% 238.27/48.34 | simplifying with (252), (1029), (2834), (2910), (2923), (2962)
% 238.27/48.34 | gives:
% 238.27/48.34 | (3034) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.34 | any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 238.27/48.34 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1617_8,
% 238.27/48.34 | all_1168_0) = v3 &
% 238.27/48.34 | class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.27/48.34 | v0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 238.27/48.34 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, all_1293_0) =
% 238.27/48.34 | v4 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 238.27/48.34 | all_1168_0) = v2 &
% 238.27/48.34 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1617_8, v1) =
% 238.27/48.34 | v7 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.27/48.34 | v3) = v6 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.27/48.34 | all_1168_0, v1) = v5 & $i(v3) & $i(v1) & ( ~ (v0 = 0) | (( ~ (v2
% 238.27/48.34 | = 0) | v4 = 0) & (v2 = 0 | (( ~ (v5 = 0) | v6 = 0) & (v7 =
% 238.27/48.34 | 0 | v5 = 0))))))
% 238.27/48.34 |
% 238.27/48.34 | GROUND_INST: instantiating (fact_pos__less__divide__eq) with all_1293_0,
% 238.27/48.34 | all_1617_8, all_1168_0, tc_RealDef_Oreal, all_1552_0, 0,
% 238.27/48.34 | simplifying with (252), (1029), (2834), (2910), (2923), (2962)
% 238.27/48.34 | gives:
% 238.27/48.34 | (3035) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.34 | any] : (class_Fields_Olinordered__field(tc_RealDef_Oreal) = v0 &
% 238.27/48.34 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1617_8,
% 238.27/48.34 | all_1168_0) = v3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 238.27/48.34 | = v1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3,
% 238.27/48.34 | all_1293_0) = v4 &
% 238.27/48.34 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1168_0) =
% 238.27/48.34 | v2 & $i(v3) & $i(v1) & ( ~ (v2 = 0) | ~ (v0 = 0) | v4 = 0))
% 238.27/48.34 |
% 238.27/48.34 | GROUND_INST: instantiating (fact_neg__less__divide__eq) with all_1293_0,
% 238.27/48.34 | all_1617_8, all_1168_0, tc_RealDef_Oreal, all_1552_0, 0,
% 238.27/48.34 | simplifying with (252), (1029), (2834), (2910), (2923), (2962)
% 238.27/48.34 | gives:
% 238.27/48.34 | (3036) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.34 | any] : (class_Fields_Olinordered__field(tc_RealDef_Oreal) = v0 &
% 238.27/48.34 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1617_8,
% 238.27/48.34 | all_1168_0) = v3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 238.27/48.34 | = v1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.27/48.34 | v3) = v4 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.27/48.34 | all_1168_0, v1) = v2 & $i(v3) & $i(v1) & ( ~ (v2 = 0) | ~ (v0 =
% 238.27/48.34 | 0) | v4 = 0))
% 238.27/48.34 |
% 238.27/48.34 | GROUND_INST: instantiating (fact_less__divide__eq) with all_1168_0,
% 238.27/48.34 | all_1293_0, all_1530_0, tc_RealDef_Oreal, all_1552_0, all_1609_0,
% 238.27/48.34 | simplifying with (252), (2834), (2910), (2921), (2923), (2966)
% 238.27/48.34 | gives:
% 238.27/48.34 | (3037) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.34 | any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 238.27/48.34 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1530_0,
% 238.27/48.34 | all_1168_0) = v3 &
% 238.27/48.34 | class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.27/48.34 | v0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 238.27/48.34 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, all_1293_0) =
% 238.27/48.34 | v4 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 238.27/48.34 | all_1168_0) = v2 &
% 238.27/48.34 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1530_0, v1) =
% 238.27/48.34 | v7 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.27/48.34 | v3) = v6 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.27/48.34 | all_1168_0, v1) = v5 & $i(v3) & $i(v1) & ( ~ (v0 = 0) | (( ~
% 238.27/48.34 | (all_1609_0 = 0) | (( ~ (v2 = 0) | v4 = 0) & (v2 = 0 | (( ~
% 238.27/48.34 | (v5 = 0) | v6 = 0) & (v7 = 0 | v5 = 0))))) &
% 238.27/48.34 | (all_1609_0 = 0 | (v2 = 0 & ~ (v4 = 0)) | ( ~ (v2 = 0) & ((v5
% 238.27/48.34 | = 0 & ~ (v6 = 0)) | ( ~ (v7 = 0) & ~ (v5 = 0))))))))
% 238.27/48.34 |
% 238.27/48.34 | GROUND_INST: instantiating (fact_pos__less__divide__eq) with all_1293_0,
% 238.27/48.34 | all_1530_0, all_1168_0, tc_RealDef_Oreal, all_1552_0, all_1609_0,
% 238.27/48.34 | simplifying with (252), (2834), (2910), (2921), (2923), (2966)
% 238.27/48.34 | gives:
% 238.27/48.34 | (3038) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.34 | any] : (class_Fields_Olinordered__field(tc_RealDef_Oreal) = v0 &
% 238.27/48.34 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1530_0,
% 238.27/48.34 | all_1168_0) = v3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 238.27/48.34 | = v1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3,
% 238.27/48.34 | all_1293_0) = v4 &
% 238.27/48.34 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1168_0) =
% 238.27/48.34 | v2 & $i(v3) & $i(v1) & ( ~ (v2 = 0) | ~ (v0 = 0) | (( ~ (v4 = 0)
% 238.27/48.34 | | all_1609_0 = 0) & ( ~ (all_1609_0 = 0) | v4 = 0))))
% 238.27/48.34 |
% 238.27/48.34 | GROUND_INST: instantiating (fact_neg__less__divide__eq) with all_1293_0,
% 238.27/48.34 | all_1530_0, all_1168_0, tc_RealDef_Oreal, all_1552_0, all_1609_0,
% 238.27/48.34 | simplifying with (252), (2834), (2910), (2921), (2923), (2966)
% 238.27/48.34 | gives:
% 238.27/48.34 | (3039) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.34 | any] : (class_Fields_Olinordered__field(tc_RealDef_Oreal) = v0 &
% 238.27/48.34 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1530_0,
% 238.27/48.34 | all_1168_0) = v3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 238.27/48.34 | = v1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.27/48.34 | v3) = v4 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.27/48.34 | all_1168_0, v1) = v2 & $i(v3) & $i(v1) & ( ~ (v2 = 0) | ~ (v0 =
% 238.27/48.34 | 0) | (( ~ (v4 = 0) | all_1609_0 = 0) & ( ~ (all_1609_0 = 0) |
% 238.27/48.34 | v4 = 0))))
% 238.27/48.34 |
% 238.27/48.34 | GROUND_INST: instantiating (fact_less__divide__eq) with all_1168_0,
% 238.27/48.34 | all_1293_0, all_892_0, tc_RealDef_Oreal, all_1552_0, 0,
% 238.27/48.34 | simplifying with (252), (2341), (2834), (2910), (2923), (2977)
% 238.27/48.34 | gives:
% 238.27/48.34 | (3040) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.34 | any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 238.27/48.34 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_892_0,
% 238.27/48.34 | all_1168_0) = v3 &
% 238.27/48.34 | class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.27/48.34 | v0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 238.27/48.34 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, all_1293_0) =
% 238.27/48.34 | v4 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 238.27/48.34 | all_1168_0) = v2 &
% 238.27/48.34 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0, v3) =
% 238.27/48.34 | v6 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.27/48.34 | v1) = v5 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.27/48.34 | all_892_0, v1) = v7 & $i(v3) & $i(v1) & ( ~ (v0 = 0) | (( ~ (v2
% 238.27/48.34 | = 0) | v4 = 0) & (v2 = 0 | (( ~ (v5 = 0) | v6 = 0) & (v7 =
% 238.27/48.34 | 0 | v5 = 0))))))
% 238.27/48.34 |
% 238.27/48.34 | GROUND_INST: instantiating (fact_pos__less__divide__eq) with all_1293_0,
% 238.27/48.34 | all_892_0, all_1168_0, tc_RealDef_Oreal, all_1552_0, 0,
% 238.27/48.34 | simplifying with (252), (2341), (2834), (2910), (2923), (2977)
% 238.27/48.34 | gives:
% 238.27/48.34 | (3041) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.34 | any] : (class_Fields_Olinordered__field(tc_RealDef_Oreal) = v0 &
% 238.27/48.34 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_892_0,
% 238.27/48.34 | all_1168_0) = v3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 238.27/48.34 | = v1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3,
% 238.27/48.34 | all_1293_0) = v4 &
% 238.27/48.34 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1168_0) =
% 238.27/48.34 | v2 & $i(v3) & $i(v1) & ( ~ (v2 = 0) | ~ (v0 = 0) | v4 = 0))
% 238.27/48.34 |
% 238.27/48.34 | GROUND_INST: instantiating (fact_neg__less__divide__eq) with all_1293_0,
% 238.27/48.34 | all_892_0, all_1168_0, tc_RealDef_Oreal, all_1552_0, 0,
% 238.27/48.34 | simplifying with (252), (2341), (2834), (2910), (2923), (2977)
% 238.27/48.34 | gives:
% 238.27/48.35 | (3042) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.35 | any] : (class_Fields_Olinordered__field(tc_RealDef_Oreal) = v0 &
% 238.27/48.35 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_892_0,
% 238.27/48.35 | all_1168_0) = v3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 238.27/48.35 | = v1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.27/48.35 | v3) = v4 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.27/48.35 | all_1168_0, v1) = v2 & $i(v3) & $i(v1) & ( ~ (v2 = 0) | ~ (v0 =
% 238.27/48.35 | 0) | v4 = 0))
% 238.27/48.35 |
% 238.27/48.35 | GROUND_INST: instantiating (fact_right__inverse__eq) with all_1293_0,
% 238.27/48.35 | all_1168_0, tc_RealDef_Oreal, all_1552_0, simplifying with (252),
% 238.27/48.35 | (2834), (2910), (2923) gives:
% 238.27/48.35 | (3043) ? [v0: any] : ? [v1: $i] : ? [v2: $i] :
% 238.27/48.35 | (class_Rings_Odivision__ring(tc_RealDef_Oreal) = v0 &
% 238.27/48.35 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v2 &
% 238.27/48.35 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v2) &
% 238.27/48.35 | $i(v1) & ( ~ (v0 = 0) | v1 = all_1168_0 | (( ~ (v2 = all_1552_0) |
% 238.27/48.35 | all_1293_0 = all_1168_0) & ( ~ (all_1293_0 = all_1168_0) |
% 238.27/48.35 | v2 = all_1552_0))))
% 238.27/48.35 |
% 238.27/48.35 | GROUND_INST: instantiating (22) with all_1293_1, all_1293_0, simplifying with
% 238.27/48.35 | (638), (2832) gives:
% 238.27/48.35 | (3044) c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, all_1293_1) =
% 238.27/48.35 | all_1293_0 & $i(all_1293_0)
% 238.27/48.35 |
% 238.27/48.35 | GROUND_INST: instantiating (fact_abs__eq__0) with all_1293_1,
% 238.27/48.35 | tc_RealDef_Oreal, all_1293_0, simplifying with (252), (638),
% 238.27/48.35 | (2832) gives:
% 238.27/48.35 | (3045) ? [v0: any] : ? [v1: $i] :
% 238.27/48.35 | (class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) = v0 &
% 238.27/48.35 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & ( ~
% 238.27/48.35 | (v0 = 0) | (( ~ (v1 = all_1293_0) | all_1293_0 = all_1293_1) & (
% 238.27/48.35 | ~ (v1 = all_1293_1) | all_1293_0 = all_1293_1))))
% 238.27/48.35 |
% 238.27/48.35 | GROUND_INST: instantiating (fact_right__minus__eq) with all_1139_0,
% 238.27/48.35 | all_1293_3, tc_RealDef_Oreal, all_1293_1, simplifying with (252),
% 238.27/48.35 | (2300), (2344), (2655) gives:
% 238.27/48.35 | (3046) ? [v0: any] : ? [v1: $i] :
% 238.27/48.35 | (class_Groups_Ogroup__add(tc_RealDef_Oreal) = v0 &
% 238.27/48.35 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & ( ~
% 238.27/48.35 | (v0 = 0) | (( ~ (v1 = all_1293_1) | all_1293_3 = all_1139_0) & (
% 238.27/48.35 | ~ (all_1293_3 = all_1139_0) | v1 = all_1293_1))))
% 238.27/48.35 |
% 238.27/48.35 | GROUND_INST: instantiating (fact_eq__iff__diff__eq__0) with all_1139_0,
% 238.27/48.35 | all_1293_3, tc_RealDef_Oreal, all_1293_1, simplifying with (252),
% 238.27/48.35 | (2300), (2344), (2655) gives:
% 238.27/48.35 | (3047) ? [v0: any] : ? [v1: $i] :
% 238.27/48.35 | (class_Groups_Oab__group__add(tc_RealDef_Oreal) = v0 &
% 238.27/48.35 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & ( ~
% 238.27/48.35 | (v0 = 0) | (( ~ (v1 = all_1293_1) | all_1293_3 = all_1139_0) & (
% 238.27/48.35 | ~ (all_1293_3 = all_1139_0) | v1 = all_1293_1))))
% 238.27/48.35 |
% 238.27/48.35 | GROUND_INST: instantiating (fact_right__minus__eq) with all_1293_4,
% 238.27/48.35 | all_1319_1, tc_Complex_Ocomplex, all_1617_9, simplifying with
% 238.27/48.35 | (253), (2343), (2903), (2922) gives:
% 238.27/48.35 | (3048) ? [v0: any] : ? [v1: $i] :
% 238.27/48.35 | (class_Groups_Ogroup__add(tc_Complex_Ocomplex) = v0 &
% 238.27/48.35 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & $i(v1) & (
% 238.27/48.35 | ~ (v0 = 0) | (( ~ (v1 = all_1617_9) | all_1319_1 = all_1293_4) &
% 238.27/48.35 | ( ~ (all_1319_1 = all_1293_4) | v1 = all_1617_9))))
% 238.27/48.35 |
% 238.27/48.35 | GROUND_INST: instantiating (fact_neg__equal__0__iff__equal) with v_s____,
% 238.27/48.35 | tc_RealDef_Oreal, all_1139_0, simplifying with (252), (254),
% 238.27/48.35 | (498) gives:
% 238.27/48.35 | (3049) ? [v0: any] : ? [v1: $i] :
% 238.27/48.35 | (class_Groups_Ogroup__add(tc_RealDef_Oreal) = v0 &
% 238.27/48.35 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & ( ~
% 238.27/48.35 | (v0 = 0) | (( ~ (v1 = all_1139_0) | all_1139_0 = v_s____) & ( ~
% 238.27/48.35 | (v1 = v_s____) | all_1139_0 = v_s____))))
% 238.27/48.35 |
% 238.27/48.35 | GROUND_INST: instantiating (fact_neg__equal__zero) with v_s____,
% 238.27/48.35 | tc_RealDef_Oreal, all_1139_0, simplifying with (252), (254),
% 238.27/48.35 | (498) gives:
% 238.27/48.35 | (3050) ? [v0: any] : ? [v1: $i] :
% 238.27/48.35 | (class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) = v0 &
% 238.27/48.35 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & ( ~
% 238.27/48.35 | (v0 = 0) | (( ~ (v1 = v_s____) | all_1139_0 = v_s____) & ( ~
% 238.27/48.35 | (all_1139_0 = v_s____) | v1 = v_s____))))
% 238.27/48.35 |
% 238.27/48.35 | GROUND_INST: instantiating (fact_neg__equal__zero) with all_1274_1,
% 238.27/48.35 | tc_RealDef_Oreal, all_1274_0, simplifying with (252), (614),
% 238.27/48.35 | (616) gives:
% 238.27/48.35 | (3051) ? [v0: any] : ? [v1: $i] :
% 238.27/48.35 | (class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) = v0 &
% 238.27/48.35 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & ( ~
% 238.27/48.35 | (v0 = 0) | (( ~ (v1 = all_1274_1) | all_1274_0 = all_1274_1) & (
% 238.27/48.35 | ~ (all_1274_0 = all_1274_1) | v1 = all_1274_1))))
% 238.27/48.35 |
% 238.27/48.35 | GROUND_INST: instantiating (fact_neg__equal__0__iff__equal) with all_1274_0,
% 238.27/48.35 | tc_RealDef_Oreal, all_1274_1, simplifying with (252), (615),
% 238.27/48.35 | (617) gives:
% 238.27/48.35 | (3052) ? [v0: any] : ? [v1: $i] :
% 238.27/48.35 | (class_Groups_Ogroup__add(tc_RealDef_Oreal) = v0 &
% 238.27/48.35 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & ( ~
% 238.27/48.35 | (v0 = 0) | (( ~ (v1 = all_1274_0) | all_1274_0 = all_1274_1) & (
% 238.27/48.35 | ~ (v1 = all_1274_1) | all_1274_0 = all_1274_1))))
% 238.27/48.35 |
% 238.27/48.35 | GROUND_INST: instantiating (fact_neg__equal__zero) with all_1274_0,
% 238.27/48.35 | tc_RealDef_Oreal, all_1274_1, simplifying with (252), (615),
% 238.27/48.35 | (617) gives:
% 238.27/48.35 | (3053) ? [v0: any] : ? [v1: $i] :
% 238.27/48.35 | (class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) = v0 &
% 238.27/48.35 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & ( ~
% 238.27/48.35 | (v0 = 0) | (( ~ (v1 = all_1274_0) | all_1274_0 = all_1274_1) & (
% 238.27/48.35 | ~ (all_1274_0 = all_1274_1) | v1 = all_1274_1))))
% 238.27/48.35 |
% 238.27/48.35 | GROUND_INST: instantiating (676) with v_w____, tc_Complex_Ocomplex, all_902_0,
% 238.27/48.35 | simplifying with (103), (253), (296) gives:
% 238.27/48.35 | (3054) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 238.27/48.35 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_902_0,
% 238.27/48.35 | all_1333_0) = v1 &
% 238.27/48.35 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.35 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 & $i(v2) & (
% 238.27/48.35 | ~ (v0 = 0) | (( ~ (v2 = v_w____) | v1 = 0) & ( ~ (v1 = 0) | v2 =
% 238.27/48.35 | v_w____))))
% 238.27/48.35 |
% 238.27/48.35 | GROUND_INST: instantiating (673) with v_w____, tc_Complex_Ocomplex, all_902_0,
% 238.27/48.35 | simplifying with (103), (253), (296) gives:
% 238.27/48.35 | (3055) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 238.27/48.35 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.35 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 &
% 238.27/48.35 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1330_0,
% 238.27/48.35 | all_902_0) = v1 & $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 = v_w____) |
% 238.27/48.35 | ~ (v1 = 0)) & (v2 = v_w____ | v1 = 0))))
% 238.27/48.35 |
% 238.27/48.35 | GROUND_INST: instantiating (471) with v_w____, tc_Complex_Ocomplex, all_902_0,
% 238.27/48.35 | simplifying with (103), (253), (296) gives:
% 238.27/48.35 | (3056) ? [v0: any] : ? [v1: any] :
% 238.27/48.35 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1104_0,
% 238.27/48.35 | all_902_0) = v1 &
% 238.27/48.35 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.35 | ( ~ (v0 = 0) | v1 = 0))
% 238.27/48.35 |
% 238.27/48.35 | GROUND_INST: instantiating (631) with v_w____, tc_Complex_Ocomplex, all_902_0,
% 238.27/48.35 | simplifying with (103), (253), (296) gives:
% 238.27/48.35 | (3057) ? [v0: any] : ? [v1: $i] :
% 238.27/48.35 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.35 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & $i(v1) & (
% 238.27/48.35 | ~ (v0 = 0) | (( ~ (v1 = v_w____) | all_1285_0 = all_902_0) & ( ~
% 238.27/48.35 | (all_1285_0 = all_902_0) | v1 = v_w____))))
% 238.27/48.35 |
% 238.27/48.35 | GROUND_INST: instantiating (31) with v_w____, tc_Complex_Ocomplex, all_902_0,
% 238.27/48.35 | simplifying with (103), (253), (296) gives:
% 238.27/48.35 | (3058) ? [v0: any] : ? [v1: $i] :
% 238.27/48.35 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.35 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_902_0) = v1 &
% 238.27/48.35 | $i(v1) & ( ~ (v0 = 0) | v1 = all_902_0))
% 238.27/48.35 |
% 238.27/48.35 | GROUND_INST: instantiating (479) with v_w____, tc_Complex_Ocomplex, all_902_0,
% 238.27/48.35 | simplifying with (103), (253), (296) gives:
% 238.27/48.35 | (3059) ? [v0: any] : ? [v1: any] :
% 238.27/48.35 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.35 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_902_0,
% 238.27/48.35 | all_1112_0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 238.27/48.35 |
% 238.27/48.35 | GROUND_INST: instantiating (676) with all_1274_4, tc_Complex_Ocomplex,
% 238.27/48.35 | all_1274_3, simplifying with (253), (612), (618) gives:
% 238.27/48.35 | (3060) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 238.27/48.35 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1274_3,
% 238.27/48.35 | all_1333_0) = v1 &
% 238.27/48.35 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.35 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 & $i(v2) & (
% 238.27/48.35 | ~ (v0 = 0) | (( ~ (v2 = all_1274_4) | v1 = 0) & ( ~ (v1 = 0) |
% 238.27/48.35 | v2 = all_1274_4))))
% 238.27/48.35 |
% 238.27/48.35 | GROUND_INST: instantiating (673) with all_1274_4, tc_Complex_Ocomplex,
% 238.27/48.35 | all_1274_3, simplifying with (253), (612), (618) gives:
% 238.27/48.35 | (3061) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 238.27/48.35 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.35 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 &
% 238.27/48.35 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1330_0,
% 238.27/48.35 | all_1274_3) = v1 & $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 =
% 238.27/48.35 | all_1274_4) | ~ (v1 = 0)) & (v2 = all_1274_4 | v1 = 0))))
% 238.27/48.35 |
% 238.27/48.35 | GROUND_INST: instantiating (471) with all_1274_4, tc_Complex_Ocomplex,
% 238.27/48.35 | all_1274_3, simplifying with (253), (612), (618) gives:
% 238.27/48.35 | (3062) ? [v0: any] : ? [v1: any] :
% 238.27/48.35 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1104_0,
% 238.27/48.35 | all_1274_3) = v1 &
% 238.27/48.35 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.35 | ( ~ (v0 = 0) | v1 = 0))
% 238.27/48.35 |
% 238.27/48.35 | GROUND_INST: instantiating (631) with all_1274_4, tc_Complex_Ocomplex,
% 238.27/48.35 | all_1274_3, simplifying with (253), (612), (618) gives:
% 238.27/48.35 | (3063) ? [v0: any] : ? [v1: $i] :
% 238.27/48.35 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.35 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & $i(v1) & (
% 238.27/48.35 | ~ (v0 = 0) | (( ~ (v1 = all_1274_4) | all_1285_0 = all_1274_3) &
% 238.27/48.35 | ( ~ (all_1285_0 = all_1274_3) | v1 = all_1274_4))))
% 238.27/48.35 |
% 238.27/48.35 | GROUND_INST: instantiating (31) with all_1274_4, tc_Complex_Ocomplex,
% 238.27/48.35 | all_1274_3, simplifying with (253), (612), (618) gives:
% 238.27/48.35 | (3064) ? [v0: any] : ? [v1: $i] :
% 238.27/48.35 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.35 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1274_3) = v1 &
% 238.27/48.35 | $i(v1) & ( ~ (v0 = 0) | v1 = all_1274_3))
% 238.27/48.35 |
% 238.27/48.35 | GROUND_INST: instantiating (479) with all_1274_4, tc_Complex_Ocomplex,
% 238.27/48.35 | all_1274_3, simplifying with (253), (612), (618) gives:
% 238.27/48.35 | (3065) ? [v0: any] : ? [v1: any] :
% 238.27/48.35 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.35 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1274_3,
% 238.27/48.35 | all_1112_0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 238.27/48.35 |
% 238.27/48.35 | GROUND_INST: instantiating (676) with all_1274_2, tc_Complex_Ocomplex,
% 238.27/48.35 | all_1274_1, simplifying with (253), (613), (619) gives:
% 238.27/48.35 | (3066) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 238.27/48.35 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1274_1,
% 238.27/48.35 | all_1333_0) = v1 &
% 238.27/48.35 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.35 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 & $i(v2) & (
% 238.27/48.35 | ~ (v0 = 0) | (( ~ (v2 = all_1274_2) | v1 = 0) & ( ~ (v1 = 0) |
% 238.27/48.35 | v2 = all_1274_2))))
% 238.27/48.35 |
% 238.27/48.35 | GROUND_INST: instantiating (673) with all_1274_2, tc_Complex_Ocomplex,
% 238.27/48.35 | all_1274_1, simplifying with (253), (613), (619) gives:
% 238.27/48.35 | (3067) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 238.27/48.35 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.35 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 &
% 238.27/48.35 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1330_0,
% 238.27/48.35 | all_1274_1) = v1 & $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 =
% 238.27/48.35 | all_1274_2) | ~ (v1 = 0)) & (v2 = all_1274_2 | v1 = 0))))
% 238.27/48.35 |
% 238.27/48.35 | GROUND_INST: instantiating (471) with all_1274_2, tc_Complex_Ocomplex,
% 238.27/48.35 | all_1274_1, simplifying with (253), (613), (619) gives:
% 238.27/48.35 | (3068) ? [v0: any] : ? [v1: any] :
% 238.27/48.35 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1104_0,
% 238.27/48.35 | all_1274_1) = v1 &
% 238.27/48.35 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.35 | ( ~ (v0 = 0) | v1 = 0))
% 238.27/48.35 |
% 238.27/48.35 | GROUND_INST: instantiating (631) with all_1274_2, tc_Complex_Ocomplex,
% 238.27/48.35 | all_1274_1, simplifying with (253), (613), (619) gives:
% 238.27/48.35 | (3069) ? [v0: any] : ? [v1: $i] :
% 238.27/48.35 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.35 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & $i(v1) & (
% 238.27/48.35 | ~ (v0 = 0) | (( ~ (v1 = all_1274_2) | all_1285_0 = all_1274_1) &
% 238.27/48.36 | ( ~ (all_1285_0 = all_1274_1) | v1 = all_1274_2))))
% 238.27/48.36 |
% 238.27/48.36 | GROUND_INST: instantiating (31) with all_1274_2, tc_Complex_Ocomplex,
% 238.27/48.36 | all_1274_1, simplifying with (253), (613), (619) gives:
% 238.27/48.36 | (3070) ? [v0: any] : ? [v1: $i] :
% 238.27/48.36 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.36 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1274_1) = v1 &
% 238.27/48.36 | $i(v1) & ( ~ (v0 = 0) | v1 = all_1274_1))
% 238.27/48.36 |
% 238.27/48.36 | GROUND_INST: instantiating (479) with all_1274_2, tc_Complex_Ocomplex,
% 238.27/48.36 | all_1274_1, simplifying with (253), (613), (619) gives:
% 238.27/48.36 | (3071) ? [v0: any] : ? [v1: any] :
% 238.27/48.36 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.36 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1274_1,
% 238.27/48.36 | all_1112_0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 238.27/48.36 |
% 238.27/48.36 | GROUND_INST: instantiating (676) with all_1293_4, tc_Complex_Ocomplex,
% 238.27/48.36 | all_1293_3, simplifying with (253), (641), (2343) gives:
% 238.27/48.36 | (3072) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 238.27/48.36 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1293_3,
% 238.27/48.36 | all_1333_0) = v1 &
% 238.27/48.36 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.36 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 & $i(v2) & (
% 238.27/48.36 | ~ (v0 = 0) | (( ~ (v2 = all_1293_4) | v1 = 0) & ( ~ (v1 = 0) |
% 238.27/48.36 | v2 = all_1293_4))))
% 238.27/48.36 |
% 238.27/48.36 | GROUND_INST: instantiating (673) with all_1293_4, tc_Complex_Ocomplex,
% 238.27/48.36 | all_1293_3, simplifying with (253), (641), (2343) gives:
% 238.27/48.36 | (3073) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 238.27/48.36 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.36 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 &
% 238.27/48.36 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1330_0,
% 238.27/48.36 | all_1293_3) = v1 & $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 =
% 238.27/48.36 | all_1293_4) | ~ (v1 = 0)) & (v2 = all_1293_4 | v1 = 0))))
% 238.27/48.36 |
% 238.27/48.36 | GROUND_INST: instantiating (471) with all_1293_4, tc_Complex_Ocomplex,
% 238.27/48.36 | all_1293_3, simplifying with (253), (641), (2343) gives:
% 238.27/48.36 | (3074) ? [v0: any] : ? [v1: any] :
% 238.27/48.36 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1104_0,
% 238.27/48.36 | all_1293_3) = v1 &
% 238.27/48.36 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.36 | ( ~ (v0 = 0) | v1 = 0))
% 238.27/48.36 |
% 238.27/48.36 | GROUND_INST: instantiating (631) with all_1293_4, tc_Complex_Ocomplex,
% 238.27/48.36 | all_1293_3, simplifying with (253), (641), (2343) gives:
% 238.27/48.36 | (3075) ? [v0: any] : ? [v1: $i] :
% 238.27/48.36 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.36 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & $i(v1) & (
% 238.27/48.36 | ~ (v0 = 0) | (( ~ (v1 = all_1293_4) | all_1293_3 = all_1285_0) &
% 238.27/48.36 | ( ~ (all_1293_3 = all_1285_0) | v1 = all_1293_4))))
% 238.27/48.36 |
% 238.27/48.36 | GROUND_INST: instantiating (31) with all_1293_4, tc_Complex_Ocomplex,
% 238.27/48.36 | all_1293_3, simplifying with (253), (641), (2343) gives:
% 238.27/48.36 | (3076) ? [v0: any] : ? [v1: $i] :
% 238.27/48.36 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.36 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1293_3) = v1 &
% 238.27/48.36 | $i(v1) & ( ~ (v0 = 0) | v1 = all_1293_3))
% 238.27/48.36 |
% 238.27/48.36 | GROUND_INST: instantiating (479) with all_1293_4, tc_Complex_Ocomplex,
% 238.27/48.36 | all_1293_3, simplifying with (253), (641), (2343) gives:
% 238.27/48.36 | (3077) ? [v0: any] : ? [v1: any] :
% 238.27/48.36 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.36 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_3,
% 238.27/48.36 | all_1112_0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 238.27/48.36 |
% 238.27/48.36 | GROUND_INST: instantiating (676) with all_1319_1, tc_Complex_Ocomplex,
% 238.27/48.36 | all_1319_0, simplifying with (253), (662), (2922) gives:
% 238.27/48.36 | (3078) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 238.27/48.36 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1319_0,
% 238.27/48.36 | all_1333_0) = v1 &
% 238.27/48.36 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.36 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 & $i(v2) & (
% 238.27/48.36 | ~ (v0 = 0) | (( ~ (v2 = all_1319_1) | v1 = 0) & ( ~ (v1 = 0) |
% 238.27/48.36 | v2 = all_1319_1))))
% 238.27/48.36 |
% 238.27/48.36 | GROUND_INST: instantiating (673) with all_1319_1, tc_Complex_Ocomplex,
% 238.27/48.36 | all_1319_0, simplifying with (253), (662), (2922) gives:
% 238.27/48.36 | (3079) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 238.27/48.36 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.36 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 &
% 238.27/48.36 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1330_0,
% 238.27/48.36 | all_1319_0) = v1 & $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 =
% 238.27/48.36 | all_1319_1) | ~ (v1 = 0)) & (v2 = all_1319_1 | v1 = 0))))
% 238.27/48.36 |
% 238.27/48.36 | GROUND_INST: instantiating (471) with all_1319_1, tc_Complex_Ocomplex,
% 238.27/48.36 | all_1319_0, simplifying with (253), (662), (2922) gives:
% 238.27/48.36 | (3080) ? [v0: any] : ? [v1: any] :
% 238.27/48.36 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1104_0,
% 238.27/48.36 | all_1319_0) = v1 &
% 238.27/48.36 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.36 | ( ~ (v0 = 0) | v1 = 0))
% 238.27/48.36 |
% 238.27/48.36 | GROUND_INST: instantiating (631) with all_1319_1, tc_Complex_Ocomplex,
% 238.27/48.36 | all_1319_0, simplifying with (253), (662), (2922) gives:
% 238.27/48.36 | (3081) ? [v0: any] : ? [v1: $i] :
% 238.27/48.36 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.36 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & $i(v1) & (
% 238.27/48.36 | ~ (v0 = 0) | (( ~ (v1 = all_1319_1) | all_1319_0 = all_1285_0) &
% 238.27/48.36 | ( ~ (all_1319_0 = all_1285_0) | v1 = all_1319_1))))
% 238.27/48.36 |
% 238.27/48.36 | GROUND_INST: instantiating (31) with all_1319_1, tc_Complex_Ocomplex,
% 238.27/48.36 | all_1319_0, simplifying with (253), (662), (2922) gives:
% 238.27/48.36 | (3082) ? [v0: any] : ? [v1: $i] :
% 238.27/48.36 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.36 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1319_0) = v1 &
% 238.27/48.36 | $i(v1) & ( ~ (v0 = 0) | v1 = all_1319_0))
% 238.27/48.36 |
% 238.27/48.36 | GROUND_INST: instantiating (479) with all_1319_1, tc_Complex_Ocomplex,
% 238.27/48.36 | all_1319_0, simplifying with (253), (662), (2922) gives:
% 238.27/48.36 | (3083) ? [v0: any] : ? [v1: any] :
% 238.27/48.36 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.36 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1319_0,
% 238.27/48.36 | all_1112_0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 238.27/48.36 |
% 238.27/48.36 | GROUND_INST: instantiating (fact_norm__minus__commute) with all_1319_1,
% 238.27/48.36 | all_1293_4, tc_Complex_Ocomplex, all_1617_9, all_1617_8,
% 238.27/48.36 | simplifying with (253), (1038), (2343), (2903), (2922) gives:
% 238.27/48.36 | (3084) ? [v0: any] : ? [v1: $i] : ? [v2: $i] :
% 238.27/48.36 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.36 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 &
% 238.27/48.36 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1293_4,
% 238.27/48.36 | all_1319_1) = v1 & $i(v2) & $i(v1) & ( ~ (v0 = 0) | v2 =
% 238.27/48.36 | all_1617_8))
% 238.27/48.36 |
% 238.27/48.36 | GROUND_INST: instantiating (676) with all_1617_9, tc_Complex_Ocomplex,
% 238.27/48.36 | all_1617_8, simplifying with (253), (1028), (1038) gives:
% 238.27/48.36 | (3085) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 238.27/48.36 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1617_8,
% 238.27/48.36 | all_1333_0) = v1 &
% 238.27/48.36 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.36 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 & $i(v2) & (
% 238.27/48.36 | ~ (v0 = 0) | (( ~ (v2 = all_1617_9) | v1 = 0) & ( ~ (v1 = 0) |
% 238.27/48.36 | v2 = all_1617_9))))
% 238.27/48.36 |
% 238.27/48.36 | GROUND_INST: instantiating (673) with all_1617_9, tc_Complex_Ocomplex,
% 238.27/48.36 | all_1617_8, simplifying with (253), (1028), (1038) gives:
% 238.27/48.36 | (3086) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 238.27/48.36 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.36 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 &
% 238.27/48.36 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1330_0,
% 238.27/48.36 | all_1617_8) = v1 & $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 =
% 238.27/48.36 | all_1617_9) | ~ (v1 = 0)) & (v2 = all_1617_9 | v1 = 0))))
% 238.27/48.36 |
% 238.27/48.36 | GROUND_INST: instantiating (471) with all_1617_9, tc_Complex_Ocomplex,
% 238.27/48.36 | all_1617_8, simplifying with (253), (1028), (1038) gives:
% 238.27/48.36 | (3087) ? [v0: any] : ? [v1: any] :
% 238.27/48.36 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1104_0,
% 238.27/48.36 | all_1617_8) = v1 &
% 238.27/48.36 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.36 | ( ~ (v0 = 0) | v1 = 0))
% 238.27/48.36 |
% 238.27/48.36 | GROUND_INST: instantiating (631) with all_1617_9, tc_Complex_Ocomplex,
% 238.27/48.36 | all_1617_8, simplifying with (253), (1028), (1038) gives:
% 238.27/48.36 | (3088) ? [v0: any] : ? [v1: $i] :
% 238.27/48.36 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.36 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & $i(v1) & (
% 238.27/48.36 | ~ (v0 = 0) | (( ~ (v1 = all_1617_9) | all_1617_8 = all_1285_0) &
% 238.27/48.36 | ( ~ (all_1617_8 = all_1285_0) | v1 = all_1617_9))))
% 238.27/48.36 |
% 238.27/48.36 | GROUND_INST: instantiating (31) with all_1617_9, tc_Complex_Ocomplex,
% 238.27/48.36 | all_1617_8, simplifying with (253), (1028), (1038) gives:
% 238.27/48.36 | (3089) ? [v0: any] : ? [v1: $i] :
% 238.27/48.36 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.36 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1617_8) = v1 &
% 238.27/48.36 | $i(v1) & ( ~ (v0 = 0) | v1 = all_1617_8))
% 238.27/48.36 |
% 238.27/48.36 | GROUND_INST: instantiating (479) with all_1617_9, tc_Complex_Ocomplex,
% 238.27/48.36 | all_1617_8, simplifying with (253), (1028), (1038) gives:
% 238.27/48.36 | (3090) ? [v0: any] : ? [v1: any] :
% 238.27/48.36 | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0 &
% 238.27/48.36 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1617_8,
% 238.27/48.36 | all_1112_0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 238.27/48.36 |
% 238.27/48.36 | GROUND_INST: instantiating (fact_less__divide__eq__number__of1) with
% 238.27/48.36 | all_1089_1, all_1293_0, all_1617_8, tc_RealDef_Oreal, all_1168_0,
% 238.27/48.36 | all_1552_0, 0, simplifying with (252), (1029), (2632), (2657),
% 238.27/48.36 | (2910), (2923), (2962) gives:
% 238.27/48.36 | (3091) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : ? [v4:
% 238.27/48.36 | $i] : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 238.27/48.36 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1617_8,
% 238.27/48.36 | all_1168_0) = v4 &
% 238.27/48.36 | class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.27/48.36 | v0 & class_Int_Onumber(tc_RealDef_Oreal) = v1 &
% 238.27/48.36 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v2 &
% 238.27/48.36 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, all_1293_0) =
% 238.27/48.36 | v5 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2,
% 238.27/48.36 | all_1168_0) = v3 &
% 238.27/48.36 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1617_8, v2) =
% 238.27/48.36 | v8 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.27/48.36 | v4) = v7 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.27/48.36 | all_1168_0, v2) = v6 & $i(v4) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 =
% 238.27/48.36 | 0) | (( ~ (v3 = 0) | v5 = 0) & (v3 = 0 | (( ~ (v6 = 0) | v7 =
% 238.27/48.36 | 0) & (v8 = 0 | v6 = 0))))))
% 238.27/48.36 |
% 238.27/48.36 | GROUND_INST: instantiating (fact_less__divide__eq__number__of1) with
% 238.27/48.36 | all_1089_1, all_1293_0, all_1530_0, tc_RealDef_Oreal, all_1168_0,
% 238.27/48.36 | all_1552_0, all_1609_0, simplifying with (252), (2632), (2657),
% 238.27/48.36 | (2910), (2921), (2923), (2966) gives:
% 238.27/48.36 | (3092) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : ? [v4:
% 238.27/48.36 | $i] : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 238.27/48.36 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1530_0,
% 238.27/48.36 | all_1168_0) = v4 &
% 238.27/48.36 | class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.27/48.36 | v0 & class_Int_Onumber(tc_RealDef_Oreal) = v1 &
% 238.27/48.36 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v2 &
% 238.27/48.36 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, all_1293_0) =
% 238.27/48.36 | v5 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2,
% 238.27/48.36 | all_1168_0) = v3 &
% 238.27/48.36 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1530_0, v2) =
% 238.27/48.36 | v8 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.27/48.36 | v4) = v7 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.27/48.36 | all_1168_0, v2) = v6 & $i(v4) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 =
% 238.27/48.36 | 0) | (( ~ (all_1609_0 = 0) | (( ~ (v3 = 0) | v5 = 0) & (v3 = 0
% 238.27/48.36 | | (( ~ (v6 = 0) | v7 = 0) & (v8 = 0 | v6 = 0))))) &
% 238.27/48.36 | (all_1609_0 = 0 | (v3 = 0 & ~ (v5 = 0)) | ( ~ (v3 = 0) & ((v6
% 238.27/48.36 | = 0 & ~ (v7 = 0)) | ( ~ (v8 = 0) & ~ (v6 = 0))))))))
% 238.27/48.36 |
% 238.27/48.36 | GROUND_INST: instantiating (fact_less__divide__eq__number__of1) with
% 238.27/48.36 | all_1089_1, all_1293_0, all_892_0, tc_RealDef_Oreal, all_1168_0,
% 238.27/48.36 | all_1552_0, 0, simplifying with (252), (2341), (2632), (2657),
% 238.27/48.36 | (2910), (2923), (2977) gives:
% 238.27/48.36 | (3093) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : ? [v4:
% 238.27/48.37 | $i] : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 238.27/48.37 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_892_0,
% 238.27/48.37 | all_1168_0) = v4 &
% 238.27/48.37 | class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.27/48.37 | v0 & class_Int_Onumber(tc_RealDef_Oreal) = v1 &
% 238.27/48.37 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v2 &
% 238.27/48.37 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, all_1293_0) =
% 238.27/48.37 | v5 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2,
% 238.27/48.37 | all_1168_0) = v3 &
% 238.27/48.37 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0, v4) =
% 238.27/48.37 | v7 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.27/48.37 | v2) = v6 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.27/48.37 | all_892_0, v2) = v8 & $i(v4) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 =
% 238.27/48.37 | 0) | (( ~ (v3 = 0) | v5 = 0) & (v3 = 0 | (( ~ (v6 = 0) | v7 =
% 238.27/48.37 | 0) & (v8 = 0 | v6 = 0))))))
% 238.27/48.37 |
% 238.27/48.37 | GROUND_INST: instantiating (fact_zero__less__divide__iff) with all_1168_0,
% 238.27/48.37 | all_1293_0, tc_RealDef_Oreal, all_892_0, all_1552_0, 0,
% 238.27/48.37 | simplifying with (252), (283), (2341), (2834), (2910), (2923)
% 238.27/48.37 | gives:
% 238.27/48.37 | (3094) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4:
% 238.27/48.37 | any] :
% 238.27/48.37 | (class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.27/48.37 | v0 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.27/48.37 | all_892_0) = v3 &
% 238.27/48.37 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.27/48.37 | all_892_0) = v4 &
% 238.27/48.37 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.27/48.37 | all_1293_0) = v1 &
% 238.27/48.37 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.27/48.37 | all_1168_0) = v2 & ( ~ (v0 = 0) | (v4 = 0 & v3 = 0) | (v2 = 0 &
% 238.27/48.37 | v1 = 0)))
% 238.27/48.37 |
% 238.27/48.37 | GROUND_INST: instantiating (fact_zero__less__divide__iff) with all_1293_0,
% 238.27/48.37 | all_1168_0, tc_RealDef_Oreal, all_892_0, all_1563_1, all_1629_3,
% 238.27/48.37 | simplifying with (252), (283), (2834), (2915), (2923), (2967)
% 238.27/48.37 | gives:
% 238.27/48.37 | (3095) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4:
% 238.27/48.37 | any] :
% 238.27/48.37 | (class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.27/48.37 | v0 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.27/48.37 | all_892_0) = v4 &
% 238.27/48.37 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.27/48.37 | all_892_0) = v3 &
% 238.27/48.37 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.27/48.37 | all_1293_0) = v2 &
% 238.27/48.37 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.27/48.37 | all_1168_0) = v1 & ( ~ (v0 = 0) | (( ~ (all_1629_3 = 0) | (v4 =
% 238.27/48.37 | 0 & v3 = 0) | (v2 = 0 & v1 = 0)) & (all_1629_3 = 0 | (( ~
% 238.27/48.37 | (v4 = 0) | ~ (v3 = 0)) & ( ~ (v2 = 0) | ~ (v1 =
% 238.27/48.37 | 0)))))))
% 238.27/48.37 |
% 238.27/48.37 | GROUND_INST: instantiating (439) with tc_Complex_Ocomplex, all_1274_4,
% 238.27/48.37 | all_1274_3, simplifying with (253), (618), (620) gives:
% 238.27/48.37 | (3096) all_1274_3 = all_1077_0 | ? [v0: int] : ( ~ (v0 = 0) &
% 238.27/48.37 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = v0)
% 238.27/48.37 |
% 238.27/48.37 | GROUND_INST: instantiating (fact_inverse__eq__1__iff) with all_1151_0,
% 238.27/48.37 | tc_RealDef_Oreal, all_1629_2, simplifying with (252), (2795),
% 238.27/48.37 | (2981) gives:
% 238.27/48.37 | (3097) ? [v0: any] : ? [v1: $i] :
% 238.27/48.37 | (class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) = v0 &
% 238.27/48.37 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v1) & ( ~
% 238.27/48.37 | (v0 = 0) | (( ~ (v1 = all_1629_2) | all_1629_2 = all_1151_0) & (
% 238.27/48.37 | ~ (v1 = all_1151_0) | all_1629_2 = all_1151_0))))
% 238.27/48.37 |
% 238.27/48.37 | GROUND_INST: instantiating (fact_nonzero__imp__inverse__nonzero) with
% 238.27/48.37 | all_1151_0, tc_RealDef_Oreal, all_1629_2, simplifying with (252),
% 238.27/48.37 | (2795), (2981) gives:
% 238.27/48.37 | (3098) ? [v0: any] : ? [v1: $i] :
% 238.27/48.37 | (class_Rings_Odivision__ring(tc_RealDef_Oreal) = v0 &
% 238.27/48.37 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & ( ~
% 238.27/48.37 | (v1 = all_1629_2) | ~ (v0 = 0) | all_1629_2 = all_1151_0))
% 238.27/48.37 |
% 238.27/48.37 | GROUND_INST: instantiating (fact_inverse__nonzero__iff__nonzero) with
% 238.27/48.37 | all_1151_0, tc_RealDef_Oreal, all_1629_2, simplifying with (252),
% 238.27/48.37 | (2795), (2981) gives:
% 238.27/48.37 | (3099) ? [v0: any] : ? [v1: $i] :
% 238.27/48.37 | (class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal) = v0 &
% 238.27/48.37 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & ( ~
% 238.27/48.37 | (v0 = 0) | (( ~ (v1 = all_1629_2) | all_1629_2 = all_1151_0) & (
% 238.27/48.37 | ~ (v1 = all_1151_0) | all_1629_2 = all_1151_0))))
% 238.27/48.37 |
% 238.27/48.37 | GROUND_INST: instantiating (fact_inverse__divide) with all_1293_0, all_1168_0,
% 238.27/48.37 | tc_RealDef_Oreal, all_1563_1, all_1629_1, simplifying with (252),
% 238.27/48.37 | (2834), (2915), (2923), (2958) gives:
% 238.27/48.37 | (3100) ? [v0: any] : ? [v1: $i] :
% 238.27/48.37 | (class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) = v0 &
% 238.27/48.37 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1293_0,
% 238.27/48.37 | all_1168_0) = v1 & $i(v1) & ( ~ (v0 = 0) | v1 = all_1629_1))
% 238.27/48.37 |
% 238.27/48.37 | GROUND_INST: instantiating (fact_inverse__eq__1__iff) with all_1563_1,
% 238.27/48.37 | tc_RealDef_Oreal, all_1629_1, simplifying with (252), (2958),
% 238.27/48.37 | (2970) gives:
% 238.27/48.37 | (3101) ? [v0: any] : ? [v1: $i] :
% 238.27/48.37 | (class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) = v0 &
% 238.27/48.37 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v1) & ( ~
% 238.27/48.37 | (v0 = 0) | (( ~ (v1 = all_1629_1) | all_1629_1 = all_1563_1) & (
% 238.27/48.37 | ~ (v1 = all_1563_1) | all_1629_1 = all_1563_1))))
% 238.27/48.37 |
% 238.27/48.37 | GROUND_INST: instantiating (fact_nonzero__imp__inverse__nonzero) with
% 238.27/48.37 | all_1563_1, tc_RealDef_Oreal, all_1629_1, simplifying with (252),
% 238.27/48.37 | (2958), (2970) gives:
% 238.27/48.37 | (3102) ? [v0: any] : ? [v1: $i] :
% 238.27/48.37 | (class_Rings_Odivision__ring(tc_RealDef_Oreal) = v0 &
% 238.27/48.37 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & ( ~
% 238.27/48.37 | (v1 = all_1629_1) | ~ (v0 = 0) | all_1629_1 = all_1563_1))
% 238.27/48.37 |
% 238.27/48.37 | GROUND_INST: instantiating (fact_inverse__nonzero__iff__nonzero) with
% 238.27/48.37 | all_1563_1, tc_RealDef_Oreal, all_1629_1, simplifying with (252),
% 238.27/48.37 | (2958), (2970) gives:
% 238.27/48.37 | (3103) ? [v0: any] : ? [v1: $i] :
% 238.27/48.37 | (class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal) = v0 &
% 238.27/48.37 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & ( ~
% 238.27/48.37 | (v0 = 0) | (( ~ (v1 = all_1629_1) | all_1629_1 = all_1563_1) & (
% 238.27/48.37 | ~ (v1 = all_1563_1) | all_1629_1 = all_1563_1))))
% 238.27/48.37 |
% 238.27/48.37 | GROUND_INST: instantiating (fact_nonzero__inverse__eq__divide) with
% 238.27/48.37 | all_1530_4, tc_RealDef_Oreal, all_898_0, all_1530_3, simplifying
% 238.27/48.37 | with (252), (291), (2307), (2983) gives:
% 238.27/48.37 | (3104) ? [v0: any] : ? [v1: $i] : ? [v2: $i] :
% 238.27/48.37 | (class_Rings_Odivision__ring(tc_RealDef_Oreal) = v0 &
% 238.27/48.37 | c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_1530_4) =
% 238.27/48.37 | v2 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v2) &
% 238.27/48.37 | $i(v1) & ( ~ (v0 = 0) | v2 = all_1530_3 | v1 = all_1530_4))
% 238.27/48.37 |
% 238.27/48.37 | GROUND_INST: instantiating (fact_field__class_Onormalizing__field__rules_I2_J)
% 238.27/48.37 | with all_1530_4, tc_RealDef_Oreal, all_898_0, all_1530_3,
% 238.27/48.37 | simplifying with (252), (291), (2307), (2983) gives:
% 238.27/48.37 | (3105) ? [v0: any] : ? [v1: $i] : (class_Fields_Ofield(tc_RealDef_Oreal)
% 238.27/48.37 | = v0 & c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,
% 238.27/48.37 | all_1530_4) = v1 & $i(v1) & ( ~ (v0 = 0) | v1 = all_1530_3))
% 238.27/48.37 |
% 238.27/48.37 | GROUND_INST: instantiating (fact_nonzero__inverse__eq__divide) with
% 238.27/48.37 | all_1151_0, tc_RealDef_Oreal, all_898_0, all_1530_0, simplifying
% 238.27/48.37 | with (252), (291), (2826), (2981) gives:
% 238.27/48.37 | (3106) ? [v0: any] : ? [v1: $i] : ? [v2: $i] :
% 238.27/48.37 | (class_Rings_Odivision__ring(tc_RealDef_Oreal) = v0 &
% 238.27/48.37 | c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_1151_0) =
% 238.27/48.37 | v2 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v2) &
% 238.27/48.37 | $i(v1) & ( ~ (v0 = 0) | v2 = all_1530_0 | v1 = all_1151_0))
% 238.27/48.37 |
% 238.27/48.37 | GROUND_INST: instantiating (fact_field__class_Onormalizing__field__rules_I2_J)
% 238.27/48.37 | with all_1151_0, tc_RealDef_Oreal, all_898_0, all_1530_0,
% 238.27/48.37 | simplifying with (252), (291), (2826), (2981) gives:
% 238.27/48.37 | (3107) ? [v0: any] : ? [v1: $i] : (class_Fields_Ofield(tc_RealDef_Oreal)
% 238.27/48.37 | = v0 & c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,
% 238.27/48.37 | all_1151_0) = v1 & $i(v1) & ( ~ (v0 = 0) | v1 = all_1530_0))
% 238.27/48.37 |
% 238.27/48.37 | GROUND_INST: instantiating (fact_inverse__eq__divide) with all_1151_0,
% 238.27/48.37 | tc_RealDef_Oreal, all_898_0, all_1530_0, simplifying with (252),
% 238.27/48.37 | (291), (2826), (2981) gives:
% 238.27/48.37 | (3108) ? [v0: any] : ? [v1: $i] :
% 238.27/48.37 | (class_Rings_Odivision__ring(tc_RealDef_Oreal) = v0 &
% 238.27/48.37 | c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_1151_0) =
% 238.27/48.37 | v1 & $i(v1) & ( ~ (v0 = 0) | v1 = all_1530_0))
% 238.27/48.37 |
% 238.27/48.37 | GROUND_INST: instantiating (28) with all_959_0, tc_RealDef_Oreal, 0,
% 238.27/48.37 | simplifying with (247), (252), (2338), (2345) gives:
% 238.27/48.37 | (3109) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] :
% 238.27/48.37 | (class_Int_Onumber__ring(tc_RealDef_Oreal) = v0 &
% 238.27/48.37 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 238.27/48.37 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_959_0) = v2
% 238.27/48.37 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) = v3 &
% 238.27/48.37 | $i(v2) & $i(v1) & ( ~ (v0 = 0) | v3 = 0))
% 238.27/48.37 |
% 238.27/48.37 | GROUND_INST: instantiating (27) with c_Int_OPls, tc_RealDef_Oreal, all_854_0,
% 238.27/48.37 | simplifying with (247), (252), (281), (2347) gives:
% 238.27/48.37 | (3110) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] :
% 238.27/48.37 | (class_Int_Onumber__ring(tc_RealDef_Oreal) = v0 &
% 238.27/48.37 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v2 &
% 238.27/48.37 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OPls) =
% 238.27/48.37 | v1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) = v3
% 238.27/48.37 | & $i(v2) & $i(v1) & ( ~ (v0 = 0) | (( ~ (v3 = 0) | all_854_0 = 0)
% 238.27/48.37 | & ( ~ (all_854_0 = 0) | v3 = 0))))
% 238.27/48.37 |
% 238.27/48.37 | GROUND_INST: instantiating (28) with c_Int_OPls, tc_RealDef_Oreal, all_854_0,
% 238.27/48.37 | simplifying with (247), (252), (281), (2347) gives:
% 238.27/48.37 | (3111) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] :
% 238.27/48.37 | (class_Int_Onumber__ring(tc_RealDef_Oreal) = v0 &
% 238.27/48.37 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 238.27/48.37 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OPls) =
% 238.27/48.37 | v2 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) = v3
% 238.27/48.37 | & $i(v2) & $i(v1) & ( ~ (v0 = 0) | (( ~ (v3 = 0) | all_854_0 = 0)
% 238.27/48.37 | & ( ~ (all_854_0 = 0) | v3 = 0))))
% 238.27/48.37 |
% 238.27/48.37 | GROUND_INST: instantiating (fact_inverse__le__1__iff) with all_892_0,
% 238.27/48.37 | tc_RealDef_Oreal, all_892_0, all_898_0, 0, simplifying with
% 238.27/48.37 | (252), (291), (2230), (2237), (2977) gives:
% 238.27/48.37 | (3112) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: any] :
% 238.27/48.37 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_898_0,
% 238.27/48.37 | all_892_0) = v3 &
% 238.27/48.37 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_892_0, v1)
% 238.27/48.37 | = v2 &
% 238.27/48.37 | class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.27/48.37 | v0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) &
% 238.27/48.37 | ( ~ (v0 = 0) | v3 = 0 | v2 = 0))
% 238.27/48.37 |
% 238.27/48.37 | GROUND_INST: instantiating (fact_divide__le__eq) with all_1530_0, all_1530_4,
% 238.27/48.37 | all_898_0, tc_RealDef_Oreal, all_1530_3, 0, simplifying with
% 238.27/48.37 | (252), (850), (2307), (2921), (2979), (2983) gives:
% 238.27/48.37 | (3113) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.37 | any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 238.27/48.37 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1530_0,
% 238.27/48.37 | all_1530_4) = v3 &
% 238.27/48.37 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, all_898_0)
% 238.27/48.37 | = v6 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 238.27/48.37 | all_1530_0) = v7 &
% 238.27/48.37 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_898_0, v3)
% 238.27/48.37 | = v4 &
% 238.27/48.37 | class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.27/48.37 | v0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 238.27/48.37 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1530_4) =
% 238.27/48.37 | v2 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1530_4,
% 238.27/48.37 | v1) = v5 & $i(v3) & $i(v1) & ( ~ (v0 = 0) | (( ~ (v2 = 0) | v4 =
% 238.27/48.37 | 0) & (v2 = 0 | (( ~ (v5 = 0) | v6 = 0) & (v7 = 0 | v5 =
% 238.27/48.37 | 0))))))
% 238.27/48.37 |
% 238.27/48.37 | GROUND_INST: instantiating (fact_neg__divide__le__eq) with all_1530_0,
% 238.27/48.37 | all_898_0, all_1530_4, tc_RealDef_Oreal, all_1530_3, 0,
% 238.27/48.37 | simplifying with (252), (850), (2307), (2921), (2979), (2983)
% 238.27/48.37 | gives:
% 238.27/48.37 | (3114) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.37 | any] : (class_Fields_Olinordered__field(tc_RealDef_Oreal) = v0 &
% 238.27/48.37 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1530_0,
% 238.27/48.37 | all_1530_4) = v3 &
% 238.27/48.37 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, all_898_0)
% 238.27/48.37 | = v4 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 238.27/48.37 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1530_4, v1) =
% 238.27/48.37 | v2 & $i(v3) & $i(v1) & ( ~ (v2 = 0) | ~ (v0 = 0) | v4 = 0))
% 238.27/48.37 |
% 238.27/48.37 | GROUND_INST: instantiating (fact_pos__divide__le__eq) with all_1530_0,
% 238.27/48.37 | all_898_0, all_1530_4, tc_RealDef_Oreal, all_1530_3, 0,
% 238.27/48.37 | simplifying with (252), (850), (2307), (2921), (2979), (2983)
% 238.27/48.37 | gives:
% 238.27/48.37 | (3115) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.37 | any] : (class_Fields_Olinordered__field(tc_RealDef_Oreal) = v0 &
% 238.27/48.37 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1530_0,
% 238.27/48.37 | all_1530_4) = v3 &
% 238.27/48.37 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_898_0, v3)
% 238.27/48.37 | = v4 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 238.27/48.37 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1530_4) =
% 238.27/48.37 | v2 & $i(v3) & $i(v1) & ( ~ (v2 = 0) | ~ (v0 = 0) | v4 = 0))
% 238.27/48.37 |
% 238.27/48.38 | GROUND_INST: instantiating (fact_le__divide__eq) with all_1151_0, all_898_0,
% 238.27/48.38 | all_1530_3, tc_RealDef_Oreal, all_1530_0, 0, simplifying with
% 238.27/48.38 | (252), (850), (2826), (2969), (2979), (2981) gives:
% 238.27/48.38 | (3116) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.38 | any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 238.27/48.38 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1530_3,
% 238.27/48.38 | all_1151_0) = v3 &
% 238.27/48.38 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, all_898_0)
% 238.27/48.38 | = v4 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 238.27/48.38 | all_1530_3, v1) = v7 &
% 238.27/48.38 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_898_0, v3)
% 238.27/48.38 | = v6 &
% 238.27/48.38 | class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.27/48.38 | v0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 238.27/48.38 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1151_0) =
% 238.27/48.38 | v2 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1151_0,
% 238.27/48.38 | v1) = v5 & $i(v3) & $i(v1) & ( ~ (v0 = 0) | (( ~ (v2 = 0) | v4 =
% 238.27/48.38 | 0) & (v2 = 0 | (( ~ (v5 = 0) | v6 = 0) & (v7 = 0 | v5 =
% 238.27/48.38 | 0))))))
% 238.27/48.38 |
% 238.27/48.38 | GROUND_INST: instantiating (fact_pos__le__divide__eq) with all_898_0,
% 238.27/48.38 | all_1530_3, all_1151_0, tc_RealDef_Oreal, all_1530_0, 0,
% 238.27/48.38 | simplifying with (252), (850), (2826), (2969), (2979), (2981)
% 238.27/48.38 | gives:
% 238.27/48.38 | (3117) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.38 | any] : (class_Fields_Olinordered__field(tc_RealDef_Oreal) = v0 &
% 238.27/48.38 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1530_3,
% 238.27/48.38 | all_1151_0) = v3 &
% 238.27/48.38 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, all_898_0)
% 238.27/48.38 | = v4 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 238.27/48.38 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1151_0) =
% 238.27/48.38 | v2 & $i(v3) & $i(v1) & ( ~ (v2 = 0) | ~ (v0 = 0) | v4 = 0))
% 238.27/48.38 |
% 238.27/48.38 | GROUND_INST: instantiating (fact_neg__le__divide__eq) with all_898_0,
% 238.27/48.38 | all_1530_3, all_1151_0, tc_RealDef_Oreal, all_1530_0, 0,
% 238.27/48.38 | simplifying with (252), (850), (2826), (2969), (2979), (2981)
% 238.27/48.38 | gives:
% 238.27/48.38 | (3118) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 238.27/48.38 | any] : (class_Fields_Olinordered__field(tc_RealDef_Oreal) = v0 &
% 238.27/48.38 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1530_3,
% 238.27/48.38 | all_1151_0) = v3 &
% 238.27/48.38 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_898_0, v3)
% 238.27/48.38 | = v4 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 238.27/48.38 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1151_0, v1) =
% 238.27/48.38 | v2 & $i(v3) & $i(v1) & ( ~ (v2 = 0) | ~ (v0 = 0) | v4 = 0))
% 238.27/48.38 |
% 238.27/48.38 | GROUND_INST: instantiating (68) with c_Int_OPls, tc_RealDef_Oreal, 0,
% 238.27/48.38 | simplifying with (247), (252), (2229), (2347) gives:
% 238.27/48.38 | (3119) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] :
% 238.27/48.38 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v2) = v3 &
% 238.27/48.38 | class_Int_Onumber__ring(tc_RealDef_Oreal) = v0 &
% 238.27/48.38 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v2 &
% 238.27/48.38 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OPls) =
% 238.27/48.38 | v1 & $i(v2) & $i(v1) & ( ~ (v0 = 0) | v3 = 0))
% 238.27/48.38 |
% 238.27/48.38 | GROUND_INST: instantiating (67) with c_Int_OPls, tc_RealDef_Oreal, 0,
% 238.27/48.38 | simplifying with (247), (252), (2229), (2347) gives:
% 238.27/48.38 | (3120) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] :
% 238.27/48.38 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v2) = v3 &
% 238.27/48.38 | class_Int_Onumber__ring(tc_RealDef_Oreal) = v0 &
% 238.27/48.38 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 238.27/48.38 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OPls) =
% 238.27/48.38 | v2 & $i(v2) & $i(v1) & ( ~ (v0 = 0) | v3 = 0))
% 238.27/48.38 |
% 238.27/48.38 | GROUND_INST: instantiating (67) with all_959_0, tc_RealDef_Oreal, 0,
% 238.27/48.38 | simplifying with (247), (252), (2228), (2345) gives:
% 238.27/48.38 | (3121) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] :
% 238.27/48.38 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v2) = v3 &
% 238.27/48.38 | class_Int_Onumber__ring(tc_RealDef_Oreal) = v0 &
% 238.27/48.38 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 238.27/48.38 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_959_0) = v2
% 238.27/48.38 | & $i(v2) & $i(v1) & ( ~ (v0 = 0) | v3 = 0))
% 238.27/48.38 |
% 238.27/48.38 | GROUND_INST: instantiating (67) with all_1089_0, tc_RealDef_Oreal, 0,
% 238.27/48.38 | simplifying with (247), (252), (2227), (2833) gives:
% 238.27/48.38 | (3122) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] :
% 238.27/48.38 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v2) = v3 &
% 238.27/48.38 | class_Int_Onumber__ring(tc_RealDef_Oreal) = v0 &
% 238.27/48.38 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 238.27/48.38 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1089_0) =
% 238.27/48.38 | v2 & $i(v2) & $i(v1) & ( ~ (v0 = 0) | v3 = 0))
% 238.27/48.38 |
% 238.27/48.38 | GROUND_INST: instantiating (67) with all_1094_0, tc_RealDef_Oreal, 0,
% 238.27/48.38 | simplifying with (247), (252), (456), (2226) gives:
% 238.27/48.38 | (3123) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] :
% 238.27/48.38 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v2) = v3 &
% 238.27/48.38 | class_Int_Onumber__ring(tc_RealDef_Oreal) = v0 &
% 238.27/48.38 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 238.27/48.38 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1094_0) =
% 238.27/48.38 | v2 & $i(v2) & $i(v1) & ( ~ (v0 = 0) | v3 = 0))
% 238.27/48.38 |
% 238.27/48.38 | GROUND_INST: instantiating (fact_zero__neq__one) with tc_Complex_Ocomplex,
% 238.27/48.38 | simplifying with (251), (253) gives:
% 238.27/48.38 | (3124) ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 238.27/48.38 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v1 &
% 238.27/48.38 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 & $i(v1) &
% 238.27/48.38 | $i(v0))
% 238.27/48.38 |
% 238.27/48.38 | DELTA: instantiating (2975) with fresh symbol all_1708_0 gives:
% 238.27/48.38 | (3125) ~ (all_1708_0 = 0) &
% 238.27/48.38 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.27/48.38 | all_1037_0) = all_1708_0
% 238.27/48.38 |
% 238.27/48.38 | ALPHA: (3125) implies:
% 238.27/48.38 | (3126) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.27/48.38 | all_1037_0) = all_1708_0
% 238.27/48.38 |
% 238.27/48.38 | DELTA: instantiating (3090) with fresh symbols all_1758_0, all_1758_1 gives:
% 238.27/48.38 | (3127) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.27/48.38 | all_1758_1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.27/48.38 | all_1617_8, all_1112_0) = all_1758_0 & ( ~ (all_1758_0 = 0) | ~
% 238.27/48.38 | (all_1758_1 = 0))
% 238.27/48.38 |
% 238.27/48.38 | ALPHA: (3127) implies:
% 238.27/48.38 | (3128) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.27/48.38 | all_1758_1
% 238.27/48.38 |
% 238.27/48.38 | DELTA: instantiating (3087) with fresh symbols all_1760_0, all_1760_1 gives:
% 238.27/48.38 | (3129) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1104_0,
% 238.27/48.38 | all_1617_8) = all_1760_0 &
% 238.27/48.38 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.27/48.38 | all_1760_1 & ( ~ (all_1760_1 = 0) | all_1760_0 = 0)
% 238.27/48.38 |
% 238.27/48.38 | ALPHA: (3129) implies:
% 238.27/48.38 | (3130) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.27/48.38 | all_1760_1
% 238.27/48.38 |
% 238.27/48.38 | DELTA: instantiating (3068) with fresh symbols all_1766_0, all_1766_1 gives:
% 238.27/48.38 | (3131) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1104_0,
% 238.27/48.38 | all_1274_1) = all_1766_0 &
% 238.27/48.38 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.27/48.38 | all_1766_1 & ( ~ (all_1766_1 = 0) | all_1766_0 = 0)
% 238.27/48.38 |
% 238.27/48.38 | ALPHA: (3131) implies:
% 238.27/48.38 | (3132) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.27/48.38 | all_1766_1
% 238.27/48.38 |
% 238.27/48.38 | DELTA: instantiating (3059) with fresh symbols all_1768_0, all_1768_1 gives:
% 238.27/48.38 | (3133) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.27/48.38 | all_1768_1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.27/48.38 | all_902_0, all_1112_0) = all_1768_0 & ( ~ (all_1768_0 = 0) | ~
% 238.27/48.38 | (all_1768_1 = 0))
% 238.27/48.38 |
% 238.27/48.38 | ALPHA: (3133) implies:
% 238.27/48.38 | (3134) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.27/48.38 | all_1768_1
% 238.27/48.38 |
% 238.27/48.38 | DELTA: instantiating (3056) with fresh symbols all_1772_0, all_1772_1 gives:
% 238.27/48.38 | (3135) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1104_0,
% 238.27/48.38 | all_902_0) = all_1772_0 &
% 238.27/48.38 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.27/48.38 | all_1772_1 & ( ~ (all_1772_1 = 0) | all_1772_0 = 0)
% 238.27/48.38 |
% 238.27/48.38 | ALPHA: (3135) implies:
% 238.27/48.38 | (3136) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.27/48.38 | all_1772_1
% 238.27/48.38 |
% 238.27/48.38 | DELTA: instantiating (3065) with fresh symbols all_1776_0, all_1776_1 gives:
% 238.27/48.38 | (3137) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.27/48.38 | all_1776_1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.27/48.38 | all_1274_3, all_1112_0) = all_1776_0 & ( ~ (all_1776_0 = 0) | ~
% 238.27/48.38 | (all_1776_1 = 0))
% 238.27/48.38 |
% 238.27/48.38 | ALPHA: (3137) implies:
% 238.27/48.38 | (3138) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1274_3,
% 238.27/48.38 | all_1112_0) = all_1776_0
% 238.27/48.38 | (3139) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.27/48.38 | all_1776_1
% 238.27/48.38 | (3140) ~ (all_1776_0 = 0) | ~ (all_1776_1 = 0)
% 238.27/48.38 |
% 238.27/48.38 | DELTA: instantiating (3083) with fresh symbols all_1780_0, all_1780_1 gives:
% 238.27/48.38 | (3141) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.27/48.38 | all_1780_1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.27/48.38 | all_1319_0, all_1112_0) = all_1780_0 & ( ~ (all_1780_0 = 0) | ~
% 238.27/48.38 | (all_1780_1 = 0))
% 238.27/48.38 |
% 238.27/48.38 | ALPHA: (3141) implies:
% 238.27/48.38 | (3142) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.27/48.38 | all_1780_1
% 238.27/48.38 |
% 238.27/48.38 | DELTA: instantiating (3080) with fresh symbols all_1782_0, all_1782_1 gives:
% 238.27/48.38 | (3143) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1104_0,
% 238.27/48.38 | all_1319_0) = all_1782_0 &
% 238.27/48.38 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.27/48.38 | all_1782_1 & ( ~ (all_1782_1 = 0) | all_1782_0 = 0)
% 238.27/48.38 |
% 238.27/48.38 | ALPHA: (3143) implies:
% 238.27/48.38 | (3144) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.27/48.38 | all_1782_1
% 238.27/48.38 |
% 238.27/48.38 | DELTA: instantiating (3062) with fresh symbols all_1784_0, all_1784_1 gives:
% 238.27/48.38 | (3145) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1104_0,
% 238.27/48.38 | all_1274_3) = all_1784_0 &
% 238.27/48.38 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.27/48.38 | all_1784_1 & ( ~ (all_1784_1 = 0) | all_1784_0 = 0)
% 238.27/48.38 |
% 238.27/48.38 | ALPHA: (3145) implies:
% 238.27/48.38 | (3146) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.27/48.38 | all_1784_1
% 238.27/48.38 |
% 238.27/48.38 | DELTA: instantiating (3077) with fresh symbols all_1786_0, all_1786_1 gives:
% 238.27/48.38 | (3147) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.27/48.38 | all_1786_1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.27/48.38 | all_1293_3, all_1112_0) = all_1786_0 & ( ~ (all_1786_0 = 0) | ~
% 238.27/48.38 | (all_1786_1 = 0))
% 238.27/48.38 |
% 238.27/48.38 | ALPHA: (3147) implies:
% 238.27/48.38 | (3148) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.27/48.38 | all_1786_1
% 238.27/48.38 |
% 238.27/48.38 | DELTA: instantiating (3071) with fresh symbols all_1788_0, all_1788_1 gives:
% 238.27/48.38 | (3149) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.27/48.38 | all_1788_1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.27/48.38 | all_1274_1, all_1112_0) = all_1788_0 & ( ~ (all_1788_0 = 0) | ~
% 238.27/48.38 | (all_1788_1 = 0))
% 238.27/48.38 |
% 238.27/48.38 | ALPHA: (3149) implies:
% 238.27/48.38 | (3150) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.27/48.38 | all_1788_1
% 238.27/48.38 |
% 238.27/48.38 | DELTA: instantiating (3074) with fresh symbols all_1790_0, all_1790_1 gives:
% 238.27/48.38 | (3151) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1104_0,
% 238.27/48.38 | all_1293_3) = all_1790_0 &
% 238.27/48.38 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.27/48.38 | all_1790_1 & ( ~ (all_1790_1 = 0) | all_1790_0 = 0)
% 238.27/48.38 |
% 238.27/48.38 | ALPHA: (3151) implies:
% 238.27/48.38 | (3152) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.27/48.38 | all_1790_1
% 238.27/48.38 |
% 238.27/48.38 | DELTA: instantiating (3082) with fresh symbols all_1792_0, all_1792_1 gives:
% 238.27/48.38 | (3153) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.27/48.38 | all_1792_1 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1319_0)
% 238.27/48.38 | = all_1792_0 & $i(all_1792_0) & ( ~ (all_1792_1 = 0) | all_1792_0 =
% 238.27/48.38 | all_1319_0)
% 238.27/48.38 |
% 238.27/48.38 | ALPHA: (3153) implies:
% 238.27/48.38 | (3154) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.27/48.38 | all_1792_1
% 238.27/48.38 |
% 238.27/48.38 | DELTA: instantiating (3058) with fresh symbols all_1802_0, all_1802_1 gives:
% 238.27/48.38 | (3155) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.27/48.38 | all_1802_1 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_902_0)
% 238.27/48.38 | = all_1802_0 & $i(all_1802_0) & ( ~ (all_1802_1 = 0) | all_1802_0 =
% 238.27/48.38 | all_902_0)
% 238.27/48.38 |
% 238.27/48.38 | ALPHA: (3155) implies:
% 238.27/48.38 | (3156) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.27/48.38 | all_1802_1
% 238.27/48.38 |
% 238.27/48.38 | DELTA: instantiating (3124) with fresh symbols all_1810_0, all_1810_1 gives:
% 238.27/48.38 | (3157) ~ (all_1810_0 = all_1810_1) &
% 238.27/48.38 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1810_0 &
% 238.27/48.38 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1810_1 &
% 238.27/48.38 | $i(all_1810_0) & $i(all_1810_1)
% 238.27/48.38 |
% 238.27/48.38 | ALPHA: (3157) implies:
% 238.27/48.38 | (3158) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1810_1
% 238.27/48.38 |
% 238.27/48.38 | DELTA: instantiating (3064) with fresh symbols all_1818_0, all_1818_1 gives:
% 238.27/48.38 | (3159) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.27/48.38 | all_1818_1 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1274_3)
% 238.27/48.38 | = all_1818_0 & $i(all_1818_0) & ( ~ (all_1818_1 = 0) | all_1818_0 =
% 238.27/48.38 | all_1274_3)
% 238.27/48.38 |
% 238.27/48.38 | ALPHA: (3159) implies:
% 238.27/48.38 | (3160) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.27/48.38 | all_1818_1
% 238.27/48.38 |
% 238.27/48.38 | DELTA: instantiating (3108) with fresh symbols all_1820_0, all_1820_1 gives:
% 238.27/48.38 | (3161) class_Rings_Odivision__ring(tc_RealDef_Oreal) = all_1820_1 &
% 238.27/48.38 | c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_1151_0) =
% 238.27/48.38 | all_1820_0 & $i(all_1820_0) & ( ~ (all_1820_1 = 0) | all_1820_0 =
% 238.27/48.38 | all_1530_0)
% 238.27/48.38 |
% 238.27/48.38 | ALPHA: (3161) implies:
% 238.27/48.38 | (3162) c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_1151_0) =
% 238.27/48.38 | all_1820_0
% 238.27/48.38 |
% 238.27/48.38 | DELTA: instantiating (3107) with fresh symbols all_1830_0, all_1830_1 gives:
% 238.27/48.38 | (3163) class_Fields_Ofield(tc_RealDef_Oreal) = all_1830_1 &
% 238.27/48.38 | c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_1151_0) =
% 238.27/48.38 | all_1830_0 & $i(all_1830_0) & ( ~ (all_1830_1 = 0) | all_1830_0 =
% 238.27/48.38 | all_1530_0)
% 238.27/48.38 |
% 238.27/48.38 | ALPHA: (3163) implies:
% 238.27/48.38 | (3164) c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_1151_0) =
% 238.27/48.38 | all_1830_0
% 238.27/48.38 | (3165) class_Fields_Ofield(tc_RealDef_Oreal) = all_1830_1
% 238.27/48.38 | (3166) ~ (all_1830_1 = 0) | all_1830_0 = all_1530_0
% 238.61/48.38 |
% 238.61/48.38 | DELTA: instantiating (3076) with fresh symbols all_1844_0, all_1844_1 gives:
% 238.61/48.38 | (3167) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.38 | all_1844_1 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1293_3)
% 238.61/48.38 | = all_1844_0 & $i(all_1844_0) & ( ~ (all_1844_1 = 0) | all_1844_0 =
% 238.61/48.38 | all_1293_3)
% 238.61/48.38 |
% 238.61/48.38 | ALPHA: (3167) implies:
% 238.61/48.38 | (3168) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.38 | all_1844_1
% 238.61/48.38 |
% 238.61/48.38 | DELTA: instantiating (3105) with fresh symbols all_1848_0, all_1848_1 gives:
% 238.61/48.38 | (3169) class_Fields_Ofield(tc_RealDef_Oreal) = all_1848_1 &
% 238.61/48.39 | c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_1530_4) =
% 238.61/48.39 | all_1848_0 & $i(all_1848_0) & ( ~ (all_1848_1 = 0) | all_1848_0 =
% 238.61/48.39 | all_1530_3)
% 238.61/48.39 |
% 238.61/48.39 | ALPHA: (3169) implies:
% 238.61/48.39 | (3170) class_Fields_Ofield(tc_RealDef_Oreal) = all_1848_1
% 238.61/48.39 |
% 238.61/48.39 | DELTA: instantiating (3070) with fresh symbols all_1860_0, all_1860_1 gives:
% 238.61/48.39 | (3171) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.39 | all_1860_1 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1274_1)
% 238.61/48.39 | = all_1860_0 & $i(all_1860_0) & ( ~ (all_1860_1 = 0) | all_1860_0 =
% 238.61/48.39 | all_1274_1)
% 238.61/48.39 |
% 238.61/48.39 | ALPHA: (3171) implies:
% 238.61/48.39 | (3172) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.39 | all_1860_1
% 238.61/48.39 |
% 238.61/48.39 | DELTA: instantiating (3100) with fresh symbols all_1862_0, all_1862_1 gives:
% 238.61/48.39 | (3173) class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) = all_1862_1 &
% 238.61/48.39 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.39 | all_1168_0) = all_1862_0 & $i(all_1862_0) & ( ~ (all_1862_1 = 0) |
% 238.61/48.39 | all_1862_0 = all_1629_1)
% 238.61/48.39 |
% 238.61/48.39 | ALPHA: (3173) implies:
% 238.61/48.39 | (3174) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.39 | all_1168_0) = all_1862_0
% 238.61/48.39 | (3175) class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) = all_1862_1
% 238.61/48.39 | (3176) ~ (all_1862_1 = 0) | all_1862_0 = all_1629_1
% 238.61/48.39 |
% 238.61/48.39 | DELTA: instantiating (3089) with fresh symbols all_1866_0, all_1866_1 gives:
% 238.61/48.39 | (3177) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.39 | all_1866_1 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1617_8)
% 238.61/48.39 | = all_1866_0 & $i(all_1866_0) & ( ~ (all_1866_1 = 0) | all_1866_0 =
% 238.61/48.39 | all_1617_8)
% 238.61/48.39 |
% 238.61/48.39 | ALPHA: (3177) implies:
% 238.61/48.39 | (3178) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.39 | all_1866_1
% 238.61/48.39 |
% 238.61/48.39 | DELTA: instantiating (3098) with fresh symbols all_1878_0, all_1878_1 gives:
% 238.61/48.39 | (3179) class_Rings_Odivision__ring(tc_RealDef_Oreal) = all_1878_1 &
% 238.61/48.39 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1878_0 &
% 238.61/48.39 | $i(all_1878_0) & ( ~ (all_1878_0 = all_1629_2) | ~ (all_1878_1 = 0)
% 238.61/48.39 | | all_1629_2 = all_1151_0)
% 238.61/48.39 |
% 238.61/48.39 | ALPHA: (3179) implies:
% 238.61/48.39 | (3180) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1878_0
% 238.61/48.39 |
% 238.61/48.39 | DELTA: instantiating (3102) with fresh symbols all_1882_0, all_1882_1 gives:
% 238.61/48.39 | (3181) class_Rings_Odivision__ring(tc_RealDef_Oreal) = all_1882_1 &
% 238.61/48.39 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1882_0 &
% 238.61/48.39 | $i(all_1882_0) & ( ~ (all_1882_0 = all_1629_1) | ~ (all_1882_1 = 0)
% 238.61/48.39 | | all_1629_1 = all_1563_1)
% 238.61/48.39 |
% 238.61/48.39 | ALPHA: (3181) implies:
% 238.61/48.39 | (3182) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1882_0
% 238.61/48.39 |
% 238.61/48.39 | DELTA: instantiating (3084) with fresh symbols all_1914_0, all_1914_1,
% 238.61/48.39 | all_1914_2 gives:
% 238.61/48.39 | (3183) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.39 | all_1914_2 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 238.61/48.39 | all_1914_1) = all_1914_0 &
% 238.61/48.39 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1293_4,
% 238.61/48.39 | all_1319_1) = all_1914_1 & $i(all_1914_0) & $i(all_1914_1) & ( ~
% 238.61/48.39 | (all_1914_2 = 0) | all_1914_0 = all_1617_8)
% 238.61/48.39 |
% 238.61/48.39 | ALPHA: (3183) implies:
% 238.61/48.39 | (3184) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.39 | all_1914_2
% 238.61/48.39 |
% 238.61/48.39 | DELTA: instantiating (3109) with fresh symbols all_1930_0, all_1930_1,
% 238.61/48.39 | all_1930_2, all_1930_3 gives:
% 238.61/48.39 | (3185) class_Int_Onumber__ring(tc_RealDef_Oreal) = all_1930_3 &
% 238.61/48.39 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1930_2 &
% 238.61/48.39 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_959_0) =
% 238.61/48.39 | all_1930_1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.61/48.39 | all_1930_2, all_1930_1) = all_1930_0 & $i(all_1930_1) &
% 238.61/48.39 | $i(all_1930_2) & ( ~ (all_1930_3 = 0) | all_1930_0 = 0)
% 238.61/48.39 |
% 238.61/48.39 | ALPHA: (3185) implies:
% 238.61/48.39 | (3186) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1930_2
% 238.61/48.39 |
% 238.61/48.39 | DELTA: instantiating (3088) with fresh symbols all_1936_0, all_1936_1 gives:
% 238.61/48.39 | (3187) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.39 | all_1936_1 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 238.61/48.39 | all_1936_0 & $i(all_1936_0) & ( ~ (all_1936_1 = 0) | (( ~
% 238.61/48.39 | (all_1936_0 = all_1617_9) | all_1617_8 = all_1285_0) & ( ~
% 238.61/48.39 | (all_1617_8 = all_1285_0) | all_1936_0 = all_1617_9)))
% 238.61/48.39 |
% 238.61/48.39 | ALPHA: (3187) implies:
% 238.61/48.39 | (3188) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1936_0
% 238.61/48.39 | (3189) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.39 | all_1936_1
% 238.61/48.39 |
% 238.61/48.39 | DELTA: instantiating (3106) with fresh symbols all_1942_0, all_1942_1,
% 238.61/48.39 | all_1942_2 gives:
% 238.61/48.39 | (3190) class_Rings_Odivision__ring(tc_RealDef_Oreal) = all_1942_2 &
% 238.61/48.39 | c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_1151_0) =
% 238.61/48.39 | all_1942_0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.39 | all_1942_1 & $i(all_1942_0) & $i(all_1942_1) & ( ~ (all_1942_2 = 0)
% 238.61/48.39 | | all_1942_0 = all_1530_0 | all_1942_1 = all_1151_0)
% 238.61/48.39 |
% 238.61/48.39 | ALPHA: (3190) implies:
% 238.61/48.39 | (3191) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1942_1
% 238.61/48.39 | (3192) c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_1151_0) =
% 238.61/48.39 | all_1942_0
% 238.61/48.39 |
% 238.61/48.39 | DELTA: instantiating (3104) with fresh symbols all_1944_0, all_1944_1,
% 238.61/48.39 | all_1944_2 gives:
% 238.61/48.39 | (3193) class_Rings_Odivision__ring(tc_RealDef_Oreal) = all_1944_2 &
% 238.61/48.39 | c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_1530_4) =
% 238.61/48.39 | all_1944_0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.39 | all_1944_1 & $i(all_1944_0) & $i(all_1944_1) & ( ~ (all_1944_2 = 0)
% 238.61/48.39 | | all_1944_0 = all_1530_3 | all_1944_1 = all_1530_4)
% 238.61/48.39 |
% 238.61/48.39 | ALPHA: (3193) implies:
% 238.61/48.39 | (3194) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1944_1
% 238.61/48.39 |
% 238.61/48.39 | DELTA: instantiating (3097) with fresh symbols all_1946_0, all_1946_1 gives:
% 238.61/48.39 | (3195) class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) = all_1946_1 &
% 238.61/48.39 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1946_0 &
% 238.61/48.39 | $i(all_1946_0) & ( ~ (all_1946_1 = 0) | (( ~ (all_1946_0 =
% 238.61/48.39 | all_1629_2) | all_1629_2 = all_1151_0) & ( ~ (all_1946_0 =
% 238.61/48.39 | all_1151_0) | all_1629_2 = all_1151_0)))
% 238.61/48.39 |
% 238.61/48.39 | ALPHA: (3195) implies:
% 238.61/48.39 | (3196) class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) = all_1946_1
% 238.61/48.39 |
% 238.61/48.39 | DELTA: instantiating (3053) with fresh symbols all_1948_0, all_1948_1 gives:
% 238.61/48.39 | (3197) class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) =
% 238.61/48.39 | all_1948_1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.39 | all_1948_0 & $i(all_1948_0) & ( ~ (all_1948_1 = 0) | (( ~
% 238.61/48.39 | (all_1948_0 = all_1274_0) | all_1274_0 = all_1274_1) & ( ~
% 238.61/48.39 | (all_1274_0 = all_1274_1) | all_1948_0 = all_1274_1)))
% 238.61/48.39 |
% 238.61/48.39 | ALPHA: (3197) implies:
% 238.61/48.39 | (3198) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1948_0
% 238.61/48.39 |
% 238.61/48.39 | DELTA: instantiating (3051) with fresh symbols all_1956_0, all_1956_1 gives:
% 238.61/48.39 | (3199) class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) =
% 238.61/48.39 | all_1956_1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.39 | all_1956_0 & $i(all_1956_0) & ( ~ (all_1956_1 = 0) | (( ~
% 238.61/48.39 | (all_1956_0 = all_1274_1) | all_1274_0 = all_1274_1) & ( ~
% 238.61/48.39 | (all_1274_0 = all_1274_1) | all_1956_0 = all_1274_1)))
% 238.61/48.39 |
% 238.61/48.39 | ALPHA: (3199) implies:
% 238.61/48.39 | (3200) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1956_0
% 238.61/48.39 |
% 238.61/48.39 | DELTA: instantiating (3075) with fresh symbols all_1962_0, all_1962_1 gives:
% 238.61/48.39 | (3201) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.39 | all_1962_1 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 238.61/48.39 | all_1962_0 & $i(all_1962_0) & ( ~ (all_1962_1 = 0) | (( ~
% 238.61/48.39 | (all_1962_0 = all_1293_4) | all_1293_3 = all_1285_0) & ( ~
% 238.61/48.39 | (all_1293_3 = all_1285_0) | all_1962_0 = all_1293_4)))
% 238.61/48.39 |
% 238.61/48.39 | ALPHA: (3201) implies:
% 238.61/48.39 | (3202) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1962_0
% 238.61/48.39 | (3203) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.39 | all_1962_1
% 238.61/48.39 |
% 238.61/48.39 | DELTA: instantiating (3063) with fresh symbols all_1964_0, all_1964_1 gives:
% 238.61/48.39 | (3204) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.39 | all_1964_1 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 238.61/48.39 | all_1964_0 & $i(all_1964_0) & ( ~ (all_1964_1 = 0) | (( ~
% 238.61/48.39 | (all_1964_0 = all_1274_4) | all_1285_0 = all_1274_3) & ( ~
% 238.61/48.39 | (all_1285_0 = all_1274_3) | all_1964_0 = all_1274_4)))
% 238.61/48.39 |
% 238.61/48.39 | ALPHA: (3204) implies:
% 238.61/48.39 | (3205) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1964_0
% 238.61/48.39 | (3206) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.39 | all_1964_1
% 238.61/48.39 | (3207) ~ (all_1964_1 = 0) | (( ~ (all_1964_0 = all_1274_4) | all_1285_0 =
% 238.61/48.39 | all_1274_3) & ( ~ (all_1285_0 = all_1274_3) | all_1964_0 =
% 238.61/48.39 | all_1274_4))
% 238.61/48.39 |
% 238.61/48.39 | DELTA: instantiating (3052) with fresh symbols all_1974_0, all_1974_1 gives:
% 238.61/48.39 | (3208) class_Groups_Ogroup__add(tc_RealDef_Oreal) = all_1974_1 &
% 238.61/48.39 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1974_0 &
% 238.61/48.39 | $i(all_1974_0) & ( ~ (all_1974_1 = 0) | (( ~ (all_1974_0 =
% 238.61/48.39 | all_1274_0) | all_1274_0 = all_1274_1) & ( ~ (all_1974_0 =
% 238.61/48.39 | all_1274_1) | all_1274_0 = all_1274_1)))
% 238.61/48.39 |
% 238.61/48.39 | ALPHA: (3208) implies:
% 238.61/48.39 | (3209) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1974_0
% 238.61/48.39 |
% 238.61/48.39 | DELTA: instantiating (3103) with fresh symbols all_1982_0, all_1982_1 gives:
% 238.61/48.39 | (3210) class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.39 | all_1982_1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.39 | all_1982_0 & $i(all_1982_0) & ( ~ (all_1982_1 = 0) | (( ~
% 238.61/48.39 | (all_1982_0 = all_1629_1) | all_1629_1 = all_1563_1) & ( ~
% 238.61/48.39 | (all_1982_0 = all_1563_1) | all_1629_1 = all_1563_1)))
% 238.61/48.39 |
% 238.61/48.39 | ALPHA: (3210) implies:
% 238.61/48.39 | (3211) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1982_0
% 238.61/48.39 |
% 238.61/48.39 | DELTA: instantiating (3047) with fresh symbols all_1988_0, all_1988_1 gives:
% 238.61/48.39 | (3212) class_Groups_Oab__group__add(tc_RealDef_Oreal) = all_1988_1 &
% 238.61/48.39 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1988_0 &
% 238.61/48.39 | $i(all_1988_0) & ( ~ (all_1988_1 = 0) | (( ~ (all_1988_0 =
% 238.61/48.39 | all_1293_1) | all_1293_3 = all_1139_0) & ( ~ (all_1293_3 =
% 238.61/48.39 | all_1139_0) | all_1988_0 = all_1293_1)))
% 238.61/48.39 |
% 238.61/48.39 | ALPHA: (3212) implies:
% 238.61/48.39 | (3213) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1988_0
% 238.61/48.39 |
% 238.61/48.39 | DELTA: instantiating (3045) with fresh symbols all_1992_0, all_1992_1 gives:
% 238.61/48.39 | (3214) class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) =
% 238.61/48.39 | all_1992_1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.39 | all_1992_0 & $i(all_1992_0) & ( ~ (all_1992_1 = 0) | (( ~
% 238.61/48.39 | (all_1992_0 = all_1293_0) | all_1293_0 = all_1293_1) & ( ~
% 238.61/48.39 | (all_1992_0 = all_1293_1) | all_1293_0 = all_1293_1)))
% 238.61/48.39 |
% 238.61/48.39 | ALPHA: (3214) implies:
% 238.61/48.39 | (3215) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1992_0
% 238.61/48.39 |
% 238.61/48.39 | DELTA: instantiating (2989) with fresh symbols all_1994_0, all_1994_1,
% 238.61/48.39 | all_1994_2 gives:
% 238.61/48.39 | (3216) class_Groups_Ogroup__add(tc_RealDef_Oreal) = all_1994_2 &
% 238.61/48.39 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1994_1 &
% 238.61/48.39 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1139_0) =
% 238.61/48.39 | all_1994_0 & $i(all_1994_0) & $i(all_1994_1) & ( ~ (all_1994_1 =
% 238.61/48.39 | all_1584_0) | ~ (all_1994_2 = 0) | all_1994_0 = all_1530_3)
% 238.61/48.39 |
% 238.61/48.39 | ALPHA: (3216) implies:
% 238.61/48.39 | (3217) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1994_1
% 238.61/48.39 |
% 238.61/48.39 | DELTA: instantiating (3050) with fresh symbols all_2004_0, all_2004_1 gives:
% 238.61/48.39 | (3218) class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) =
% 238.61/48.39 | all_2004_1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.39 | all_2004_0 & $i(all_2004_0) & ( ~ (all_2004_1 = 0) | (( ~
% 238.61/48.39 | (all_2004_0 = v_s____) | all_1139_0 = v_s____) & ( ~
% 238.61/48.39 | (all_1139_0 = v_s____) | all_2004_0 = v_s____)))
% 238.61/48.39 |
% 238.61/48.39 | ALPHA: (3218) implies:
% 238.61/48.39 | (3219) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2004_0
% 238.61/48.39 |
% 238.61/48.39 | DELTA: instantiating (3122) with fresh symbols all_2006_0, all_2006_1,
% 238.61/48.39 | all_2006_2, all_2006_3 gives:
% 238.61/48.39 | (3220) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2006_2,
% 238.61/48.39 | all_2006_1) = all_2006_0 &
% 238.61/48.39 | class_Int_Onumber__ring(tc_RealDef_Oreal) = all_2006_3 &
% 238.61/48.39 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2006_2 &
% 238.61/48.39 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1089_0) =
% 238.61/48.39 | all_2006_1 & $i(all_2006_1) & $i(all_2006_2) & ( ~ (all_2006_3 = 0)
% 238.61/48.39 | | all_2006_0 = 0)
% 238.61/48.39 |
% 238.61/48.39 | ALPHA: (3220) implies:
% 238.61/48.39 | (3221) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2006_2
% 238.61/48.39 |
% 238.61/48.39 | DELTA: instantiating (3121) with fresh symbols all_2008_0, all_2008_1,
% 238.61/48.39 | all_2008_2, all_2008_3 gives:
% 238.61/48.39 | (3222) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2008_2,
% 238.61/48.39 | all_2008_1) = all_2008_0 &
% 238.61/48.39 | class_Int_Onumber__ring(tc_RealDef_Oreal) = all_2008_3 &
% 238.61/48.39 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2008_2 &
% 238.61/48.39 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_959_0) =
% 238.61/48.39 | all_2008_1 & $i(all_2008_1) & $i(all_2008_2) & ( ~ (all_2008_3 = 0)
% 238.61/48.39 | | all_2008_0 = 0)
% 238.61/48.39 |
% 238.61/48.39 | ALPHA: (3222) implies:
% 238.61/48.39 | (3223) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2008_2
% 238.61/48.39 |
% 238.61/48.39 | DELTA: instantiating (3048) with fresh symbols all_2012_0, all_2012_1 gives:
% 238.61/48.39 | (3224) class_Groups_Ogroup__add(tc_Complex_Ocomplex) = all_2012_1 &
% 238.61/48.39 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2012_0 &
% 238.61/48.39 | $i(all_2012_0) & ( ~ (all_2012_1 = 0) | (( ~ (all_2012_0 =
% 238.61/48.39 | all_1617_9) | all_1319_1 = all_1293_4) & ( ~ (all_1319_1 =
% 238.61/48.39 | all_1293_4) | all_2012_0 = all_1617_9)))
% 238.61/48.39 |
% 238.61/48.39 | ALPHA: (3224) implies:
% 238.61/48.39 | (3225) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2012_0
% 238.61/48.39 |
% 238.61/48.39 | DELTA: instantiating (3120) with fresh symbols all_2020_0, all_2020_1,
% 238.61/48.39 | all_2020_2, all_2020_3 gives:
% 238.61/48.39 | (3226) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2020_2,
% 238.61/48.39 | all_2020_1) = all_2020_0 &
% 238.61/48.39 | class_Int_Onumber__ring(tc_RealDef_Oreal) = all_2020_3 &
% 238.61/48.39 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2020_2 &
% 238.61/48.39 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OPls) =
% 238.61/48.39 | all_2020_1 & $i(all_2020_1) & $i(all_2020_2) & ( ~ (all_2020_3 = 0)
% 238.61/48.39 | | all_2020_0 = 0)
% 238.61/48.39 |
% 238.61/48.39 | ALPHA: (3226) implies:
% 238.61/48.39 | (3227) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2020_2
% 238.61/48.39 |
% 238.61/48.39 | DELTA: instantiating (3081) with fresh symbols all_2024_0, all_2024_1 gives:
% 238.61/48.39 | (3228) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.39 | all_2024_1 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 238.61/48.39 | all_2024_0 & $i(all_2024_0) & ( ~ (all_2024_1 = 0) | (( ~
% 238.61/48.39 | (all_2024_0 = all_1319_1) | all_1319_0 = all_1285_0) & ( ~
% 238.61/48.39 | (all_1319_0 = all_1285_0) | all_2024_0 = all_1319_1)))
% 238.61/48.39 |
% 238.61/48.39 | ALPHA: (3228) implies:
% 238.61/48.39 | (3229) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2024_0
% 238.61/48.39 | (3230) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.39 | all_2024_1
% 238.61/48.39 |
% 238.61/48.39 | DELTA: instantiating (3046) with fresh symbols all_2026_0, all_2026_1 gives:
% 238.61/48.39 | (3231) class_Groups_Ogroup__add(tc_RealDef_Oreal) = all_2026_1 &
% 238.61/48.39 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2026_0 &
% 238.61/48.39 | $i(all_2026_0) & ( ~ (all_2026_1 = 0) | (( ~ (all_2026_0 =
% 238.61/48.39 | all_1293_1) | all_1293_3 = all_1139_0) & ( ~ (all_1293_3 =
% 238.61/48.39 | all_1139_0) | all_2026_0 = all_1293_1)))
% 238.61/48.39 |
% 238.61/48.39 | ALPHA: (3231) implies:
% 238.61/48.39 | (3232) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2026_0
% 238.61/48.39 |
% 238.61/48.39 | DELTA: instantiating (3123) with fresh symbols all_2028_0, all_2028_1,
% 238.61/48.39 | all_2028_2, all_2028_3 gives:
% 238.61/48.39 | (3233) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2028_2,
% 238.61/48.39 | all_2028_1) = all_2028_0 &
% 238.61/48.39 | class_Int_Onumber__ring(tc_RealDef_Oreal) = all_2028_3 &
% 238.61/48.39 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2028_2 &
% 238.61/48.39 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1094_0) =
% 238.61/48.39 | all_2028_1 & $i(all_2028_1) & $i(all_2028_2) & ( ~ (all_2028_3 = 0)
% 238.61/48.39 | | all_2028_0 = 0)
% 238.61/48.39 |
% 238.61/48.39 | ALPHA: (3233) implies:
% 238.61/48.39 | (3234) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2028_2
% 238.61/48.39 |
% 238.61/48.39 | DELTA: instantiating (3049) with fresh symbols all_2042_0, all_2042_1 gives:
% 238.61/48.39 | (3235) class_Groups_Ogroup__add(tc_RealDef_Oreal) = all_2042_1 &
% 238.61/48.39 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2042_0 &
% 238.61/48.39 | $i(all_2042_0) & ( ~ (all_2042_1 = 0) | (( ~ (all_2042_0 =
% 238.61/48.39 | all_1139_0) | all_1139_0 = v_s____) & ( ~ (all_2042_0 =
% 238.61/48.40 | v_s____) | all_1139_0 = v_s____)))
% 238.61/48.40 |
% 238.61/48.40 | ALPHA: (3235) implies:
% 238.61/48.40 | (3236) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2042_0
% 238.61/48.40 |
% 238.61/48.40 | DELTA: instantiating (3069) with fresh symbols all_2048_0, all_2048_1 gives:
% 238.61/48.40 | (3237) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2048_1 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2048_0 & $i(all_2048_0) & ( ~ (all_2048_1 = 0) | (( ~
% 238.61/48.40 | (all_2048_0 = all_1274_2) | all_1285_0 = all_1274_1) & ( ~
% 238.61/48.40 | (all_1285_0 = all_1274_1) | all_2048_0 = all_1274_2)))
% 238.61/48.40 |
% 238.61/48.40 | ALPHA: (3237) implies:
% 238.61/48.40 | (3238) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2048_0
% 238.61/48.40 | (3239) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2048_1
% 238.61/48.40 |
% 238.61/48.40 | DELTA: instantiating (3112) with fresh symbols all_2052_0, all_2052_1,
% 238.61/48.40 | all_2052_2, all_2052_3 gives:
% 238.61/48.40 | (3240) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_898_0,
% 238.61/48.40 | all_892_0) = all_2052_0 &
% 238.61/48.40 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_892_0,
% 238.61/48.40 | all_2052_2) = all_2052_1 &
% 238.61/48.40 | class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.40 | all_2052_3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.40 | all_2052_2 & $i(all_2052_2) & ( ~ (all_2052_3 = 0) | all_2052_0 = 0
% 238.61/48.40 | | all_2052_1 = 0)
% 238.61/48.40 |
% 238.61/48.40 | ALPHA: (3240) implies:
% 238.61/48.40 | (3241) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2052_2
% 238.61/48.40 | (3242) class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.40 | all_2052_3
% 238.61/48.40 |
% 238.61/48.40 | DELTA: instantiating (3101) with fresh symbols all_2054_0, all_2054_1 gives:
% 238.61/48.40 | (3243) class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) = all_2054_1 &
% 238.61/48.40 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_2054_0 &
% 238.61/48.40 | $i(all_2054_0) & ( ~ (all_2054_1 = 0) | (( ~ (all_2054_0 =
% 238.61/48.40 | all_1629_1) | all_1629_1 = all_1563_1) & ( ~ (all_2054_0 =
% 238.61/48.40 | all_1563_1) | all_1629_1 = all_1563_1)))
% 238.61/48.40 |
% 238.61/48.40 | ALPHA: (3243) implies:
% 238.61/48.40 | (3244) class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) = all_2054_1
% 238.61/48.40 |
% 238.61/48.40 | DELTA: instantiating (3119) with fresh symbols all_2060_0, all_2060_1,
% 238.61/48.40 | all_2060_2, all_2060_3 gives:
% 238.61/48.40 | (3245) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2060_2,
% 238.61/48.40 | all_2060_1) = all_2060_0 &
% 238.61/48.40 | class_Int_Onumber__ring(tc_RealDef_Oreal) = all_2060_3 &
% 238.61/48.40 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2060_1 &
% 238.61/48.40 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OPls) =
% 238.61/48.40 | all_2060_2 & $i(all_2060_1) & $i(all_2060_2) & ( ~ (all_2060_3 = 0)
% 238.61/48.40 | | all_2060_0 = 0)
% 238.61/48.40 |
% 238.61/48.40 | ALPHA: (3245) implies:
% 238.61/48.40 | (3246) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2060_1
% 238.61/48.40 |
% 238.61/48.40 | DELTA: instantiating (3057) with fresh symbols all_2064_0, all_2064_1 gives:
% 238.61/48.40 | (3247) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2064_1 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2064_0 & $i(all_2064_0) & ( ~ (all_2064_1 = 0) | (( ~
% 238.61/48.40 | (all_2064_0 = v_w____) | all_1285_0 = all_902_0) & ( ~
% 238.61/48.40 | (all_1285_0 = all_902_0) | all_2064_0 = v_w____)))
% 238.61/48.40 |
% 238.61/48.40 | ALPHA: (3247) implies:
% 238.61/48.40 | (3248) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2064_0
% 238.61/48.40 | (3249) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2064_1
% 238.61/48.40 |
% 238.61/48.40 | DELTA: instantiating (3099) with fresh symbols all_2066_0, all_2066_1 gives:
% 238.61/48.40 | (3250) class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.40 | all_2066_1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.40 | all_2066_0 & $i(all_2066_0) & ( ~ (all_2066_1 = 0) | (( ~
% 238.61/48.40 | (all_2066_0 = all_1629_2) | all_1629_2 = all_1151_0) & ( ~
% 238.61/48.40 | (all_2066_0 = all_1151_0) | all_1629_2 = all_1151_0)))
% 238.61/48.40 |
% 238.61/48.40 | ALPHA: (3250) implies:
% 238.61/48.40 | (3251) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2066_0
% 238.61/48.40 |
% 238.61/48.40 | DELTA: instantiating (2992) with fresh symbols all_2070_0, all_2070_1,
% 238.61/48.40 | all_2070_2 gives:
% 238.61/48.40 | (3252) class_Groups_Ogroup__add(tc_RealDef_Oreal) = all_2070_2 &
% 238.61/48.40 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2070_1 &
% 238.61/48.40 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1139_0) =
% 238.61/48.40 | all_2070_0 & $i(all_2070_0) & $i(all_2070_1) & ( ~ (all_2070_1 =
% 238.61/48.40 | all_1586_0) | ~ (all_2070_2 = 0) | all_2070_0 = all_1530_0)
% 238.61/48.40 |
% 238.61/48.40 | ALPHA: (3252) implies:
% 238.61/48.40 | (3253) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2070_1
% 238.61/48.40 |
% 238.61/48.40 | DELTA: instantiating (3055) with fresh symbols all_2074_0, all_2074_1,
% 238.61/48.40 | all_2074_2 gives:
% 238.61/48.40 | (3254) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2074_2 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2074_0 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.61/48.40 | all_1330_0, all_902_0) = all_2074_1 & $i(all_2074_0) & ( ~
% 238.61/48.40 | (all_2074_2 = 0) | (( ~ (all_2074_0 = v_w____) | ~ (all_2074_1 =
% 238.61/48.40 | 0)) & (all_2074_0 = v_w____ | all_2074_1 = 0)))
% 238.61/48.40 |
% 238.61/48.40 | ALPHA: (3254) implies:
% 238.61/48.40 | (3255) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2074_0
% 238.61/48.40 | (3256) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2074_2
% 238.61/48.40 |
% 238.61/48.40 | DELTA: instantiating (3079) with fresh symbols all_2080_0, all_2080_1,
% 238.61/48.40 | all_2080_2 gives:
% 238.61/48.40 | (3257) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2080_2 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2080_0 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.61/48.40 | all_1330_0, all_1319_0) = all_2080_1 & $i(all_2080_0) & ( ~
% 238.61/48.40 | (all_2080_2 = 0) | (( ~ (all_2080_0 = all_1319_1) | ~ (all_2080_1
% 238.61/48.40 | = 0)) & (all_2080_0 = all_1319_1 | all_2080_1 = 0)))
% 238.61/48.40 |
% 238.61/48.40 | ALPHA: (3257) implies:
% 238.61/48.40 | (3258) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2080_0
% 238.61/48.40 | (3259) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2080_2
% 238.61/48.40 |
% 238.61/48.40 | DELTA: instantiating (3078) with fresh symbols all_2082_0, all_2082_1,
% 238.61/48.40 | all_2082_2 gives:
% 238.61/48.40 | (3260) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1319_0,
% 238.61/48.40 | all_1333_0) = all_2082_1 &
% 238.61/48.40 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2082_2 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2082_0 & $i(all_2082_0) & ( ~ (all_2082_2 = 0) | (( ~
% 238.61/48.40 | (all_2082_0 = all_1319_1) | all_2082_1 = 0) & ( ~ (all_2082_1
% 238.61/48.40 | = 0) | all_2082_0 = all_1319_1)))
% 238.61/48.40 |
% 238.61/48.40 | ALPHA: (3260) implies:
% 238.61/48.40 | (3261) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2082_0
% 238.61/48.40 | (3262) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2082_2
% 238.61/48.40 |
% 238.61/48.40 | DELTA: instantiating (3073) with fresh symbols all_2084_0, all_2084_1,
% 238.61/48.40 | all_2084_2 gives:
% 238.61/48.40 | (3263) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2084_2 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2084_0 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.61/48.40 | all_1330_0, all_1293_3) = all_2084_1 & $i(all_2084_0) & ( ~
% 238.61/48.40 | (all_2084_2 = 0) | (( ~ (all_2084_0 = all_1293_4) | ~ (all_2084_1
% 238.61/48.40 | = 0)) & (all_2084_0 = all_1293_4 | all_2084_1 = 0)))
% 238.61/48.40 |
% 238.61/48.40 | ALPHA: (3263) implies:
% 238.61/48.40 | (3264) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2084_2
% 238.61/48.40 |
% 238.61/48.40 | DELTA: instantiating (3072) with fresh symbols all_2086_0, all_2086_1,
% 238.61/48.40 | all_2086_2 gives:
% 238.61/48.40 | (3265) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1293_3,
% 238.61/48.40 | all_1333_0) = all_2086_1 &
% 238.61/48.40 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2086_2 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2086_0 & $i(all_2086_0) & ( ~ (all_2086_2 = 0) | (( ~
% 238.61/48.40 | (all_2086_0 = all_1293_4) | all_2086_1 = 0) & ( ~ (all_2086_1
% 238.61/48.40 | = 0) | all_2086_0 = all_1293_4)))
% 238.61/48.40 |
% 238.61/48.40 | ALPHA: (3265) implies:
% 238.61/48.40 | (3266) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2086_0
% 238.61/48.40 | (3267) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2086_2
% 238.61/48.40 |
% 238.61/48.40 | DELTA: instantiating (3054) with fresh symbols all_2088_0, all_2088_1,
% 238.61/48.40 | all_2088_2 gives:
% 238.61/48.40 | (3268) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_902_0,
% 238.61/48.40 | all_1333_0) = all_2088_1 &
% 238.61/48.40 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2088_2 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2088_0 & $i(all_2088_0) & ( ~ (all_2088_2 = 0) | (( ~
% 238.61/48.40 | (all_2088_0 = v_w____) | all_2088_1 = 0) & ( ~ (all_2088_1 =
% 238.61/48.40 | 0) | all_2088_0 = v_w____)))
% 238.61/48.40 |
% 238.61/48.40 | ALPHA: (3268) implies:
% 238.61/48.40 | (3269) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2088_2
% 238.61/48.40 |
% 238.61/48.40 | DELTA: instantiating (3086) with fresh symbols all_2090_0, all_2090_1,
% 238.61/48.40 | all_2090_2 gives:
% 238.61/48.40 | (3270) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2090_2 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2090_0 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.61/48.40 | all_1330_0, all_1617_8) = all_2090_1 & $i(all_2090_0) & ( ~
% 238.61/48.40 | (all_2090_2 = 0) | (( ~ (all_2090_0 = all_1617_9) | ~ (all_2090_1
% 238.61/48.40 | = 0)) & (all_2090_0 = all_1617_9 | all_2090_1 = 0)))
% 238.61/48.40 |
% 238.61/48.40 | ALPHA: (3270) implies:
% 238.61/48.40 | (3271) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2090_2
% 238.61/48.40 |
% 238.61/48.40 | DELTA: instantiating (3067) with fresh symbols all_2092_0, all_2092_1,
% 238.61/48.40 | all_2092_2 gives:
% 238.61/48.40 | (3272) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2092_2 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2092_0 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.61/48.40 | all_1330_0, all_1274_1) = all_2092_1 & $i(all_2092_0) & ( ~
% 238.61/48.40 | (all_2092_2 = 0) | (( ~ (all_2092_0 = all_1274_2) | ~ (all_2092_1
% 238.61/48.40 | = 0)) & (all_2092_0 = all_1274_2 | all_2092_1 = 0)))
% 238.61/48.40 |
% 238.61/48.40 | ALPHA: (3272) implies:
% 238.61/48.40 | (3273) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2092_0
% 238.61/48.40 | (3274) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2092_2
% 238.61/48.40 |
% 238.61/48.40 | DELTA: instantiating (3066) with fresh symbols all_2094_0, all_2094_1,
% 238.61/48.40 | all_2094_2 gives:
% 238.61/48.40 | (3275) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1274_1,
% 238.61/48.40 | all_1333_0) = all_2094_1 &
% 238.61/48.40 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2094_2 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2094_0 & $i(all_2094_0) & ( ~ (all_2094_2 = 0) | (( ~
% 238.61/48.40 | (all_2094_0 = all_1274_2) | all_2094_1 = 0) & ( ~ (all_2094_1
% 238.61/48.40 | = 0) | all_2094_0 = all_1274_2)))
% 238.61/48.40 |
% 238.61/48.40 | ALPHA: (3275) implies:
% 238.61/48.40 | (3276) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2094_2
% 238.61/48.40 |
% 238.61/48.40 | DELTA: instantiating (3061) with fresh symbols all_2096_0, all_2096_1,
% 238.61/48.40 | all_2096_2 gives:
% 238.61/48.40 | (3277) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2096_2 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2096_0 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.61/48.40 | all_1330_0, all_1274_3) = all_2096_1 & $i(all_2096_0) & ( ~
% 238.61/48.40 | (all_2096_2 = 0) | (( ~ (all_2096_0 = all_1274_4) | ~ (all_2096_1
% 238.61/48.40 | = 0)) & (all_2096_0 = all_1274_4 | all_2096_1 = 0)))
% 238.61/48.40 |
% 238.61/48.40 | ALPHA: (3277) implies:
% 238.61/48.40 | (3278) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1330_0,
% 238.61/48.40 | all_1274_3) = all_2096_1
% 238.61/48.40 | (3279) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2096_0
% 238.61/48.40 | (3280) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2096_2
% 238.61/48.40 |
% 238.61/48.40 | DELTA: instantiating (3060) with fresh symbols all_2098_0, all_2098_1,
% 238.61/48.40 | all_2098_2 gives:
% 238.61/48.40 | (3281) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1274_3,
% 238.61/48.40 | all_1333_0) = all_2098_1 &
% 238.61/48.40 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2098_2 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2098_0 & $i(all_2098_0) & ( ~ (all_2098_2 = 0) | (( ~
% 238.61/48.40 | (all_2098_0 = all_1274_4) | all_2098_1 = 0) & ( ~ (all_2098_1
% 238.61/48.40 | = 0) | all_2098_0 = all_1274_4)))
% 238.61/48.40 |
% 238.61/48.40 | ALPHA: (3281) implies:
% 238.61/48.40 | (3282) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2098_0
% 238.61/48.40 | (3283) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2098_2
% 238.61/48.40 |
% 238.61/48.40 | DELTA: instantiating (3085) with fresh symbols all_2100_0, all_2100_1,
% 238.61/48.40 | all_2100_2 gives:
% 238.61/48.40 | (3284) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1617_8,
% 238.61/48.40 | all_1333_0) = all_2100_1 &
% 238.61/48.40 | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2100_2 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2100_0 & $i(all_2100_0) & ( ~ (all_2100_2 = 0) | (( ~
% 238.61/48.40 | (all_2100_0 = all_1617_9) | all_2100_1 = 0) & ( ~ (all_2100_1
% 238.61/48.40 | = 0) | all_2100_0 = all_1617_9)))
% 238.61/48.40 |
% 238.61/48.40 | ALPHA: (3284) implies:
% 238.61/48.40 | (3285) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2100_0
% 238.61/48.40 | (3286) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 238.61/48.40 | all_2100_2
% 238.61/48.40 |
% 238.61/48.40 | DELTA: instantiating (2988) with fresh symbols all_2110_0, all_2110_1,
% 238.61/48.40 | all_2110_2 gives:
% 238.61/48.40 | (3287) class_Groups_Ogroup__add(tc_RealDef_Oreal) = all_2110_2 &
% 238.61/48.40 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2110_0 &
% 238.61/48.40 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1530_3) =
% 238.61/48.40 | all_2110_1 & $i(all_2110_0) & $i(all_2110_1) & ( ~ (all_2110_2 = 0)
% 238.61/48.40 | | (( ~ (all_2110_0 = all_1584_0) | all_2110_1 = all_1139_0) & ( ~
% 238.61/48.40 | (all_2110_1 = all_1139_0) | all_2110_0 = all_1584_0)))
% 238.61/48.40 |
% 238.61/48.40 | ALPHA: (3287) implies:
% 238.61/48.40 | (3288) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2110_0
% 238.61/48.40 |
% 238.61/48.40 | DELTA: instantiating (3041) with fresh symbols all_2116_0, all_2116_1,
% 238.61/48.40 | all_2116_2, all_2116_3, all_2116_4 gives:
% 238.61/48.40 | (3289) class_Fields_Olinordered__field(tc_RealDef_Oreal) = all_2116_4 &
% 238.61/48.40 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_892_0,
% 238.61/48.40 | all_1168_0) = all_2116_1 &
% 238.61/48.40 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2116_3 &
% 238.61/48.40 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2116_1,
% 238.61/48.40 | all_1293_0) = all_2116_0 &
% 238.61/48.40 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2116_3,
% 238.61/48.40 | all_1168_0) = all_2116_2 & $i(all_2116_1) & $i(all_2116_3) & ( ~
% 238.61/48.40 | (all_2116_2 = 0) | ~ (all_2116_4 = 0) | all_2116_0 = 0)
% 238.61/48.40 |
% 238.61/48.40 | ALPHA: (3289) implies:
% 238.61/48.40 | (3290) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2116_3,
% 238.61/48.40 | all_1168_0) = all_2116_2
% 238.61/48.40 | (3291) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2116_3
% 238.61/48.40 |
% 238.61/48.40 | DELTA: instantiating (3118) with fresh symbols all_2120_0, all_2120_1,
% 238.61/48.40 | all_2120_2, all_2120_3, all_2120_4 gives:
% 238.61/48.40 | (3292) class_Fields_Olinordered__field(tc_RealDef_Oreal) = all_2120_4 &
% 238.61/48.40 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1530_3,
% 238.61/48.40 | all_1151_0) = all_2120_1 &
% 238.61/48.40 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_898_0,
% 238.61/48.40 | all_2120_1) = all_2120_0 &
% 238.61/48.40 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2120_3 &
% 238.61/48.40 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1151_0,
% 238.61/48.40 | all_2120_3) = all_2120_2 & $i(all_2120_1) & $i(all_2120_3) & ( ~
% 238.61/48.40 | (all_2120_2 = 0) | ~ (all_2120_4 = 0) | all_2120_0 = 0)
% 238.61/48.40 |
% 238.61/48.40 | ALPHA: (3292) implies:
% 238.61/48.40 | (3293) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2120_3
% 238.61/48.40 |
% 238.61/48.40 | DELTA: instantiating (3117) with fresh symbols all_2122_0, all_2122_1,
% 238.61/48.40 | all_2122_2, all_2122_3, all_2122_4 gives:
% 238.61/48.40 | (3294) class_Fields_Olinordered__field(tc_RealDef_Oreal) = all_2122_4 &
% 238.61/48.40 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1530_3,
% 238.61/48.40 | all_1151_0) = all_2122_1 &
% 238.61/48.40 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2122_1,
% 238.61/48.40 | all_898_0) = all_2122_0 &
% 238.61/48.40 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2122_3 &
% 238.61/48.40 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2122_3,
% 238.61/48.40 | all_1151_0) = all_2122_2 & $i(all_2122_1) & $i(all_2122_3) & ( ~
% 238.61/48.40 | (all_2122_2 = 0) | ~ (all_2122_4 = 0) | all_2122_0 = 0)
% 238.61/48.40 |
% 238.61/48.40 | ALPHA: (3294) implies:
% 238.61/48.40 | (3295) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2122_3
% 238.61/48.40 |
% 238.61/48.40 | DELTA: instantiating (3115) with fresh symbols all_2124_0, all_2124_1,
% 238.61/48.40 | all_2124_2, all_2124_3, all_2124_4 gives:
% 238.61/48.40 | (3296) class_Fields_Olinordered__field(tc_RealDef_Oreal) = all_2124_4 &
% 238.61/48.40 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1530_0,
% 238.61/48.40 | all_1530_4) = all_2124_1 &
% 238.61/48.40 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_898_0,
% 238.61/48.40 | all_2124_1) = all_2124_0 &
% 238.61/48.40 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2124_3 &
% 238.61/48.40 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2124_3,
% 238.61/48.40 | all_1530_4) = all_2124_2 & $i(all_2124_1) & $i(all_2124_3) & ( ~
% 238.61/48.40 | (all_2124_2 = 0) | ~ (all_2124_4 = 0) | all_2124_0 = 0)
% 238.61/48.40 |
% 238.61/48.40 | ALPHA: (3296) implies:
% 238.61/48.40 | (3297) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2124_3
% 238.61/48.40 |
% 238.61/48.40 | DELTA: instantiating (3036) with fresh symbols all_2128_0, all_2128_1,
% 238.61/48.40 | all_2128_2, all_2128_3, all_2128_4 gives:
% 238.61/48.40 | (3298) class_Fields_Olinordered__field(tc_RealDef_Oreal) = all_2128_4 &
% 238.61/48.40 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1617_8,
% 238.61/48.40 | all_1168_0) = all_2128_1 &
% 238.61/48.40 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2128_3 &
% 238.61/48.40 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.40 | all_2128_1) = all_2128_0 &
% 238.61/48.40 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.40 | all_2128_3) = all_2128_2 & $i(all_2128_1) & $i(all_2128_3) & ( ~
% 238.61/48.40 | (all_2128_2 = 0) | ~ (all_2128_4 = 0) | all_2128_0 = 0)
% 238.61/48.40 |
% 238.61/48.40 | ALPHA: (3298) implies:
% 238.61/48.40 | (3299) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.40 | all_2128_3) = all_2128_2
% 238.61/48.40 | (3300) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2128_3
% 238.61/48.40 |
% 238.61/48.40 | DELTA: instantiating (3035) with fresh symbols all_2130_0, all_2130_1,
% 238.61/48.40 | all_2130_2, all_2130_3, all_2130_4 gives:
% 238.61/48.41 | (3301) class_Fields_Olinordered__field(tc_RealDef_Oreal) = all_2130_4 &
% 238.61/48.41 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1617_8,
% 238.61/48.41 | all_1168_0) = all_2130_1 &
% 238.61/48.41 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2130_3 &
% 238.61/48.41 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2130_1,
% 238.61/48.41 | all_1293_0) = all_2130_0 &
% 238.61/48.41 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2130_3,
% 238.61/48.41 | all_1168_0) = all_2130_2 & $i(all_2130_1) & $i(all_2130_3) & ( ~
% 238.61/48.41 | (all_2130_2 = 0) | ~ (all_2130_4 = 0) | all_2130_0 = 0)
% 238.61/48.41 |
% 238.61/48.41 | ALPHA: (3301) implies:
% 238.61/48.41 | (3302) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2130_3
% 238.61/48.41 |
% 238.61/48.41 | DELTA: instantiating (2991) with fresh symbols all_2134_0, all_2134_1,
% 238.61/48.41 | all_2134_2 gives:
% 238.61/48.41 | (3303) class_Groups_Ogroup__add(tc_RealDef_Oreal) = all_2134_2 &
% 238.61/48.41 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2134_0 &
% 238.61/48.41 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1530_0) =
% 238.61/48.41 | all_2134_1 & $i(all_2134_0) & $i(all_2134_1) & ( ~ (all_2134_2 = 0)
% 238.61/48.41 | | (( ~ (all_2134_0 = all_1586_0) | all_2134_1 = all_1139_0) & ( ~
% 238.61/48.41 | (all_2134_1 = all_1139_0) | all_2134_0 = all_1586_0)))
% 238.61/48.41 |
% 238.61/48.41 | ALPHA: (3303) implies:
% 238.61/48.41 | (3304) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2134_0
% 238.61/48.41 |
% 238.61/48.41 | DELTA: instantiating (3025) with fresh symbols all_2136_0, all_2136_1,
% 238.61/48.41 | all_2136_2, all_2136_3 gives:
% 238.61/48.41 | (3305) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.41 | all_1168_0) = all_2136_0 &
% 238.61/48.41 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.41 | all_1168_0) = all_2136_1 & class_Fields_Ofield(tc_RealDef_Oreal) =
% 238.61/48.41 | all_2136_3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.41 | all_2136_2 & $i(all_2136_0) & $i(all_2136_1) & $i(all_2136_2) & ( ~
% 238.61/48.41 | (all_2136_3 = 0) | all_2136_0 = all_2136_1 | all_2136_2 =
% 238.61/48.41 | all_1168_0)
% 238.61/48.41 |
% 238.61/48.41 | ALPHA: (3305) implies:
% 238.61/48.41 | (3306) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2136_2
% 238.61/48.41 | (3307) class_Fields_Ofield(tc_RealDef_Oreal) = all_2136_3
% 238.61/48.41 |
% 238.61/48.41 | DELTA: instantiating (3020) with fresh symbols all_2138_0, all_2138_1,
% 238.61/48.41 | all_2138_2, all_2138_3, all_2138_4 gives:
% 238.61/48.41 | (3308) class_Fields_Olinordered__field(tc_RealDef_Oreal) = all_2138_4 &
% 238.61/48.41 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1151_0,
% 238.61/48.41 | all_1293_0) = all_2138_1 &
% 238.61/48.41 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2138_3 &
% 238.61/48.41 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2138_3,
% 238.61/48.41 | all_1293_0) = all_2138_2 &
% 238.61/48.41 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.41 | all_2138_1) = all_2138_0 & $i(all_2138_1) & $i(all_2138_3) & ( ~
% 238.61/48.41 | (all_2138_2 = 0) | ~ (all_2138_4 = 0) | all_2138_0 = 0)
% 238.61/48.41 |
% 238.61/48.41 | ALPHA: (3308) implies:
% 238.61/48.41 | (3309) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2138_3
% 238.61/48.41 |
% 238.61/48.41 | DELTA: instantiating (3011) with fresh symbols all_2140_0, all_2140_1,
% 238.61/48.41 | all_2140_2, all_2140_3, all_2140_4 gives:
% 238.61/48.41 | (3310) class_Fields_Olinordered__field(tc_RealDef_Oreal) = all_2140_4 &
% 238.61/48.41 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1646_0,
% 238.61/48.41 | all_1293_0) = all_2140_1 &
% 238.61/48.41 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2140_3 &
% 238.61/48.41 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2140_3,
% 238.61/48.41 | all_1293_0) = all_2140_2 &
% 238.61/48.41 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.41 | all_2140_1) = all_2140_0 & $i(all_2140_1) & $i(all_2140_3) & ( ~
% 238.61/48.41 | (all_2140_2 = 0) | ~ (all_2140_4 = 0) | all_2140_0 = 0)
% 238.61/48.41 |
% 238.61/48.41 | ALPHA: (3310) implies:
% 238.61/48.41 | (3311) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2140_3
% 238.61/48.41 |
% 238.61/48.41 | DELTA: instantiating (3000) with fresh symbols all_2142_0, all_2142_1,
% 238.61/48.41 | all_2142_2, all_2142_3 gives:
% 238.61/48.41 | (3312) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.61/48.41 | all_1530_4) = all_2142_0 &
% 238.61/48.41 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.61/48.41 | all_1530_4) = all_2142_1 & class_Fields_Ofield(tc_RealDef_Oreal) =
% 238.61/48.41 | all_2142_3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.41 | all_2142_2 & $i(all_2142_0) & $i(all_2142_1) & $i(all_2142_2) & ( ~
% 238.61/48.41 | (all_2142_3 = 0) | all_2142_0 = all_2142_1 | all_2142_2 =
% 238.61/48.41 | all_1530_4)
% 238.61/48.41 |
% 238.61/48.41 | ALPHA: (3312) implies:
% 238.61/48.41 | (3313) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2142_2
% 238.61/48.41 | (3314) class_Fields_Ofield(tc_RealDef_Oreal) = all_2142_3
% 238.61/48.41 |
% 238.61/48.41 | DELTA: instantiating (3010) with fresh symbols all_2148_0, all_2148_1,
% 238.61/48.41 | all_2148_2, all_2148_3, all_2148_4 gives:
% 238.61/48.41 | (3315) class_Fields_Olinordered__field(tc_RealDef_Oreal) = all_2148_4 &
% 238.61/48.41 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1646_0,
% 238.61/48.41 | all_1293_0) = all_2148_1 &
% 238.61/48.41 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2148_3 &
% 238.61/48.41 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2148_1,
% 238.61/48.41 | all_1168_0) = all_2148_0 &
% 238.61/48.41 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.41 | all_2148_3) = all_2148_2 & $i(all_2148_1) & $i(all_2148_3) & ( ~
% 238.61/48.41 | (all_2148_2 = 0) | ~ (all_2148_4 = 0) | all_2148_0 = 0)
% 238.61/48.41 |
% 238.61/48.41 | ALPHA: (3315) implies:
% 238.61/48.41 | (3316) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.41 | all_2148_3) = all_2148_2
% 238.61/48.41 | (3317) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2148_3
% 238.61/48.41 |
% 238.61/48.41 | DELTA: instantiating (3004) with fresh symbols all_2154_0, all_2154_1,
% 238.61/48.41 | all_2154_2, all_2154_3 gives:
% 238.61/48.41 | (3318) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.41 | all_1293_0) = all_2154_0 &
% 238.61/48.41 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.41 | all_1293_0) = all_2154_1 & class_Fields_Ofield(tc_RealDef_Oreal) =
% 238.61/48.41 | all_2154_3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.41 | all_2154_2 & $i(all_2154_0) & $i(all_2154_1) & $i(all_2154_2) & ( ~
% 238.61/48.41 | (all_2154_3 = 0) | all_2154_0 = all_2154_1 | all_2154_2 =
% 238.61/48.41 | all_1293_0)
% 238.61/48.41 |
% 238.61/48.41 | ALPHA: (3318) implies:
% 238.61/48.41 | (3319) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2154_2
% 238.61/48.41 | (3320) class_Fields_Ofield(tc_RealDef_Oreal) = all_2154_3
% 238.61/48.41 |
% 238.61/48.41 | DELTA: instantiating (2994) with fresh symbols all_2156_0, all_2156_1,
% 238.61/48.41 | all_2156_2, all_2156_3 gives:
% 238.61/48.41 | (3321) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.61/48.41 | all_1151_0) = all_2156_0 &
% 238.61/48.41 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.61/48.41 | all_1151_0) = all_2156_1 & class_Fields_Ofield(tc_RealDef_Oreal) =
% 238.61/48.41 | all_2156_3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.41 | all_2156_2 & $i(all_2156_0) & $i(all_2156_1) & $i(all_2156_2) & ( ~
% 238.61/48.41 | (all_2156_3 = 0) | all_2156_0 = all_2156_1 | all_2156_2 =
% 238.61/48.41 | all_1151_0)
% 238.61/48.41 |
% 238.61/48.41 | ALPHA: (3321) implies:
% 238.61/48.41 | (3322) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2156_2
% 238.61/48.41 | (3323) class_Fields_Ofield(tc_RealDef_Oreal) = all_2156_3
% 238.61/48.41 |
% 238.61/48.41 | DELTA: instantiating (2993) with fresh symbols all_2160_0, all_2160_1,
% 238.61/48.41 | all_2160_2 gives:
% 238.61/48.41 | (3324) class_Groups_Ogroup__add(tc_RealDef_Oreal) = all_2160_2 &
% 238.61/48.41 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2160_1 &
% 238.61/48.41 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1139_0) =
% 238.61/48.41 | all_2160_0 & $i(all_2160_0) & $i(all_2160_1) & ( ~ (all_2160_2 = 0)
% 238.61/48.41 | | (( ~ (all_2160_0 = all_1530_0) | all_2160_1 = all_1586_0) & ( ~
% 238.61/48.41 | (all_2160_1 = all_1586_0) | all_2160_0 = all_1530_0)))
% 238.61/48.41 |
% 238.61/48.41 | ALPHA: (3324) implies:
% 238.61/48.41 | (3325) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2160_1
% 238.61/48.41 |
% 238.61/48.41 | DELTA: instantiating (3042) with fresh symbols all_2162_0, all_2162_1,
% 238.61/48.41 | all_2162_2, all_2162_3, all_2162_4 gives:
% 238.61/48.41 | (3326) class_Fields_Olinordered__field(tc_RealDef_Oreal) = all_2162_4 &
% 238.61/48.41 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_892_0,
% 238.61/48.41 | all_1168_0) = all_2162_1 &
% 238.61/48.41 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2162_3 &
% 238.61/48.41 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.41 | all_2162_1) = all_2162_0 &
% 238.61/48.41 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.41 | all_2162_3) = all_2162_2 & $i(all_2162_1) & $i(all_2162_3) & ( ~
% 238.61/48.41 | (all_2162_2 = 0) | ~ (all_2162_4 = 0) | all_2162_0 = 0)
% 238.61/48.41 |
% 238.61/48.41 | ALPHA: (3326) implies:
% 238.61/48.41 | (3327) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2162_3
% 238.61/48.41 |
% 238.61/48.41 | DELTA: instantiating (3019) with fresh symbols all_2166_0, all_2166_1,
% 238.61/48.41 | all_2166_2, all_2166_3, all_2166_4 gives:
% 238.61/48.41 | (3328) class_Fields_Olinordered__field(tc_RealDef_Oreal) = all_2166_4 &
% 238.61/48.41 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1151_0,
% 238.61/48.41 | all_1293_0) = all_2166_1 &
% 238.61/48.41 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2166_3 &
% 238.61/48.41 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2166_1,
% 238.61/48.41 | all_1168_0) = all_2166_0 &
% 238.61/48.41 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.41 | all_2166_3) = all_2166_2 & $i(all_2166_1) & $i(all_2166_3) & ( ~
% 238.61/48.41 | (all_2166_2 = 0) | ~ (all_2166_4 = 0) | all_2166_0 = 0)
% 238.61/48.41 |
% 238.61/48.41 | ALPHA: (3328) implies:
% 238.61/48.41 | (3329) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.41 | all_2166_3) = all_2166_2
% 238.61/48.41 | (3330) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2166_3
% 238.61/48.41 |
% 238.61/48.41 | DELTA: instantiating (3017) with fresh symbols all_2168_0, all_2168_1,
% 238.61/48.41 | all_2168_2, all_2168_3, all_2168_4 gives:
% 238.61/48.41 | (3331) class_Fields_Olinordered__field(tc_RealDef_Oreal) = all_2168_4 &
% 238.61/48.41 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1563_0,
% 238.61/48.41 | all_1293_0) = all_2168_1 &
% 238.61/48.41 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2168_3 &
% 238.61/48.41 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2168_3,
% 238.61/48.41 | all_1293_0) = all_2168_2 &
% 238.61/48.41 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.41 | all_2168_1) = all_2168_0 & $i(all_2168_1) & $i(all_2168_3) & ( ~
% 238.61/48.41 | (all_2168_2 = 0) | ~ (all_2168_4 = 0) | all_2168_0 = 0)
% 238.61/48.41 |
% 238.61/48.41 | ALPHA: (3331) implies:
% 238.61/48.41 | (3332) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2168_3
% 238.61/48.41 |
% 238.61/48.41 | DELTA: instantiating (3016) with fresh symbols all_2170_0, all_2170_1,
% 238.61/48.41 | all_2170_2, all_2170_3, all_2170_4 gives:
% 238.61/48.41 | (3333) class_Fields_Olinordered__field(tc_RealDef_Oreal) = all_2170_4 &
% 238.61/48.41 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1563_0,
% 238.61/48.41 | all_1293_0) = all_2170_1 &
% 238.61/48.41 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2170_3 &
% 238.61/48.41 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2170_1,
% 238.61/48.41 | all_1168_0) = all_2170_0 &
% 238.61/48.41 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.41 | all_2170_3) = all_2170_2 & $i(all_2170_1) & $i(all_2170_3) & ( ~
% 238.61/48.41 | (all_2170_2 = 0) | ~ (all_2170_4 = 0) | all_2170_0 = 0)
% 238.61/48.41 |
% 238.61/48.41 | ALPHA: (3333) implies:
% 238.61/48.41 | (3334) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.41 | all_2170_3) = all_2170_2
% 238.61/48.41 | (3335) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2170_3
% 238.61/48.41 |
% 238.61/48.41 | DELTA: instantiating (3014) with fresh symbols all_2172_0, all_2172_1,
% 238.61/48.41 | all_2172_2, all_2172_3, all_2172_4 gives:
% 238.61/48.41 | (3336) class_Fields_Olinordered__field(tc_RealDef_Oreal) = all_2172_4 &
% 238.61/48.41 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1644_0,
% 238.61/48.41 | all_1293_0) = all_2172_1 &
% 238.61/48.41 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2172_3 &
% 238.61/48.41 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2172_3,
% 238.61/48.41 | all_1293_0) = all_2172_2 &
% 238.61/48.41 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.41 | all_2172_1) = all_2172_0 & $i(all_2172_1) & $i(all_2172_3) & ( ~
% 238.61/48.41 | (all_2172_2 = 0) | ~ (all_2172_4 = 0) | all_2172_0 = 0)
% 238.61/48.41 |
% 238.61/48.41 | ALPHA: (3336) implies:
% 238.61/48.41 | (3337) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2172_3
% 238.61/48.41 |
% 238.61/48.41 | DELTA: instantiating (3114) with fresh symbols all_2174_0, all_2174_1,
% 238.61/48.41 | all_2174_2, all_2174_3, all_2174_4 gives:
% 238.61/48.41 | (3338) class_Fields_Olinordered__field(tc_RealDef_Oreal) = all_2174_4 &
% 238.61/48.41 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1530_0,
% 238.61/48.41 | all_1530_4) = all_2174_1 &
% 238.61/48.41 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2174_1,
% 238.61/48.41 | all_898_0) = all_2174_0 &
% 238.61/48.41 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2174_3 &
% 238.61/48.41 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1530_4,
% 238.61/48.41 | all_2174_3) = all_2174_2 & $i(all_2174_1) & $i(all_2174_3) & ( ~
% 238.61/48.41 | (all_2174_2 = 0) | ~ (all_2174_4 = 0) | all_2174_0 = 0)
% 238.61/48.41 |
% 238.61/48.41 | ALPHA: (3338) implies:
% 238.61/48.41 | (3339) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2174_3
% 238.61/48.41 |
% 238.61/48.41 | DELTA: instantiating (2990) with fresh symbols all_2176_0, all_2176_1,
% 238.61/48.41 | all_2176_2 gives:
% 238.61/48.41 | (3340) class_Groups_Ogroup__add(tc_RealDef_Oreal) = all_2176_2 &
% 238.61/48.41 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2176_1 &
% 238.61/48.41 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1139_0) =
% 238.61/48.41 | all_2176_0 & $i(all_2176_0) & $i(all_2176_1) & ( ~ (all_2176_2 = 0)
% 238.61/48.41 | | (( ~ (all_2176_0 = all_1530_3) | all_2176_1 = all_1584_0) & ( ~
% 238.61/48.41 | (all_2176_1 = all_1584_0) | all_2176_0 = all_1530_3)))
% 238.61/48.41 |
% 238.61/48.41 | ALPHA: (3340) implies:
% 238.61/48.41 | (3341) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2176_1
% 238.61/48.41 |
% 238.61/48.41 | DELTA: instantiating (3094) with fresh symbols all_2178_0, all_2178_1,
% 238.61/48.41 | all_2178_2, all_2178_3, all_2178_4 gives:
% 238.61/48.41 | (3342) class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.41 | all_2178_4 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.61/48.41 | all_1293_0, all_892_0) = all_2178_1 &
% 238.61/48.41 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.41 | all_892_0) = all_2178_0 &
% 238.61/48.41 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.61/48.41 | all_1293_0) = all_2178_3 &
% 238.61/48.41 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.61/48.41 | all_1168_0) = all_2178_2 & ( ~ (all_2178_4 = 0) | (all_2178_0 = 0
% 238.61/48.41 | & all_2178_1 = 0) | (all_2178_2 = 0 & all_2178_3 = 0))
% 238.61/48.41 |
% 238.61/48.41 | ALPHA: (3342) implies:
% 238.61/48.41 | (3343) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.61/48.41 | all_1168_0) = all_2178_2
% 238.61/48.41 | (3344) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.41 | all_892_0) = all_2178_0
% 238.61/48.41 | (3345) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.41 | all_892_0) = all_2178_1
% 238.61/48.41 | (3346) class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.41 | all_2178_4
% 238.61/48.41 | (3347) ~ (all_2178_4 = 0) | (all_2178_0 = 0 & all_2178_1 = 0) |
% 238.61/48.41 | (all_2178_2 = 0 & all_2178_3 = 0)
% 238.61/48.41 |
% 238.61/48.41 | DELTA: instantiating (3013) with fresh symbols all_2180_0, all_2180_1,
% 238.61/48.41 | all_2180_2, all_2180_3, all_2180_4 gives:
% 238.61/48.41 | (3348) class_Fields_Olinordered__field(tc_RealDef_Oreal) = all_2180_4 &
% 238.61/48.41 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1644_0,
% 238.61/48.41 | all_1293_0) = all_2180_1 &
% 238.61/48.41 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2180_3 &
% 238.61/48.41 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2180_1,
% 238.61/48.41 | all_1168_0) = all_2180_0 &
% 238.61/48.41 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.41 | all_2180_3) = all_2180_2 & $i(all_2180_1) & $i(all_2180_3) & ( ~
% 238.61/48.41 | (all_2180_2 = 0) | ~ (all_2180_4 = 0) | all_2180_0 = 0)
% 238.61/48.41 |
% 238.61/48.41 | ALPHA: (3348) implies:
% 238.61/48.41 | (3349) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.41 | all_2180_3) = all_2180_2
% 238.61/48.41 | (3350) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2180_3
% 238.61/48.41 |
% 238.61/48.41 | DELTA: instantiating (3003) with fresh symbols all_2182_0, all_2182_1,
% 238.61/48.41 | all_2182_2 gives:
% 238.61/48.41 | (3351) class_Rings_Odivision__ring(tc_RealDef_Oreal) = all_2182_2 &
% 238.61/48.41 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_2182_0 &
% 238.61/48.41 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2182_1 &
% 238.61/48.41 | $i(all_2182_0) & $i(all_2182_1) & ( ~ (all_2182_2 = 0) | all_2182_1
% 238.61/48.41 | = all_1530_4 | (( ~ (all_2182_0 = all_1530_3) | all_1530_4 =
% 238.61/48.41 | all_898_0) & ( ~ (all_1530_4 = all_898_0) | all_2182_0 =
% 238.61/48.41 | all_1530_3)))
% 238.61/48.41 |
% 238.61/48.41 | ALPHA: (3351) implies:
% 238.61/48.41 | (3352) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2182_1
% 238.61/48.41 |
% 238.61/48.41 | DELTA: instantiating (3111) with fresh symbols all_2184_0, all_2184_1,
% 238.61/48.41 | all_2184_2, all_2184_3 gives:
% 238.61/48.41 | (3353) class_Int_Onumber__ring(tc_RealDef_Oreal) = all_2184_3 &
% 238.61/48.41 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2184_2 &
% 238.61/48.41 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OPls) =
% 238.61/48.41 | all_2184_1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.61/48.41 | all_2184_2, all_2184_1) = all_2184_0 & $i(all_2184_1) &
% 238.61/48.41 | $i(all_2184_2) & ( ~ (all_2184_3 = 0) | (( ~ (all_2184_0 = 0) |
% 238.61/48.41 | all_854_0 = 0) & ( ~ (all_854_0 = 0) | all_2184_0 = 0)))
% 238.61/48.41 |
% 238.61/48.41 | ALPHA: (3353) implies:
% 238.61/48.41 | (3354) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2184_2
% 238.61/48.41 |
% 238.61/48.41 | DELTA: instantiating (2999) with fresh symbols all_2188_0, all_2188_1,
% 238.61/48.41 | all_2188_2 gives:
% 238.61/48.41 | (3355) class_Rings_Odivision__ring(tc_RealDef_Oreal) = all_2188_2 &
% 238.61/48.41 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_2188_0 &
% 238.61/48.41 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2188_1 &
% 238.61/48.41 | $i(all_2188_0) & $i(all_2188_1) & ( ~ (all_2188_2 = 0) | all_2188_1
% 238.61/48.41 | = all_1151_0 | (( ~ (all_2188_0 = all_1530_0) | all_1151_0 =
% 238.61/48.41 | all_898_0) & ( ~ (all_1151_0 = all_898_0) | all_2188_0 =
% 238.61/48.41 | all_1530_0)))
% 238.61/48.41 |
% 238.61/48.41 | ALPHA: (3355) implies:
% 238.61/48.41 | (3356) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2188_1
% 238.61/48.41 |
% 238.61/48.41 | DELTA: instantiating (3024) with fresh symbols all_2190_0, all_2190_1,
% 238.61/48.41 | all_2190_2 gives:
% 238.61/48.42 | (3357) class_Rings_Odivision__ring(tc_RealDef_Oreal) = all_2190_2 &
% 238.61/48.42 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_2190_0 &
% 238.61/48.42 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2190_1 &
% 238.61/48.42 | $i(all_2190_0) & $i(all_2190_1) & ( ~ (all_2190_2 = 0) | all_2190_1
% 238.61/48.42 | = all_1293_0 | (( ~ (all_2190_0 = all_1563_1) | all_1293_0 =
% 238.61/48.42 | all_1168_0) & ( ~ (all_1293_0 = all_1168_0) | all_2190_0 =
% 238.61/48.42 | all_1563_1)))
% 238.61/48.42 |
% 238.61/48.42 | ALPHA: (3357) implies:
% 238.61/48.42 | (3358) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2190_1
% 238.61/48.42 |
% 238.61/48.42 | DELTA: instantiating (3110) with fresh symbols all_2192_0, all_2192_1,
% 238.61/48.42 | all_2192_2, all_2192_3 gives:
% 238.61/48.42 | (3359) class_Int_Onumber__ring(tc_RealDef_Oreal) = all_2192_3 &
% 238.61/48.42 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2192_1 &
% 238.61/48.42 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OPls) =
% 238.61/48.42 | all_2192_2 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.61/48.42 | all_2192_2, all_2192_1) = all_2192_0 & $i(all_2192_1) &
% 238.61/48.42 | $i(all_2192_2) & ( ~ (all_2192_3 = 0) | (( ~ (all_2192_0 = 0) |
% 238.61/48.42 | all_854_0 = 0) & ( ~ (all_854_0 = 0) | all_2192_0 = 0)))
% 238.61/48.42 |
% 238.61/48.42 | ALPHA: (3359) implies:
% 238.61/48.42 | (3360) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2192_1
% 238.61/48.42 |
% 238.61/48.42 | DELTA: instantiating (3043) with fresh symbols all_2194_0, all_2194_1,
% 238.61/48.42 | all_2194_2 gives:
% 238.61/48.42 | (3361) class_Rings_Odivision__ring(tc_RealDef_Oreal) = all_2194_2 &
% 238.61/48.42 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_2194_0 &
% 238.61/48.42 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2194_1 &
% 238.61/48.42 | $i(all_2194_0) & $i(all_2194_1) & ( ~ (all_2194_2 = 0) | all_2194_1
% 238.61/48.42 | = all_1168_0 | (( ~ (all_2194_0 = all_1552_0) | all_1293_0 =
% 238.61/48.42 | all_1168_0) & ( ~ (all_1293_0 = all_1168_0) | all_2194_0 =
% 238.61/48.42 | all_1552_0)))
% 238.61/48.42 |
% 238.61/48.42 | ALPHA: (3361) implies:
% 238.61/48.42 | (3362) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2194_1
% 238.61/48.42 |
% 238.61/48.42 | DELTA: instantiating (3022) with fresh symbols all_2204_0, all_2204_1,
% 238.61/48.42 | all_2204_2, all_2204_3, all_2204_4 gives:
% 238.61/48.42 | (3363) class_Fields_Olinordered__field(tc_RealDef_Oreal) = all_2204_4 &
% 238.61/48.42 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_892_0,
% 238.61/48.42 | all_1293_0) = all_2204_1 &
% 238.61/48.42 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2204_3 &
% 238.61/48.42 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2204_1,
% 238.61/48.42 | all_1168_0) = all_2204_0 &
% 238.61/48.42 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2204_3,
% 238.61/48.42 | all_1293_0) = all_2204_2 & $i(all_2204_1) & $i(all_2204_3) & ( ~
% 238.61/48.42 | (all_2204_2 = 0) | ~ (all_2204_4 = 0) | (( ~ (all_2204_0 = 0) |
% 238.61/48.42 | all_1629_3 = 0) & ( ~ (all_1629_3 = 0) | all_2204_0 = 0)))
% 238.61/48.42 |
% 238.61/48.42 | ALPHA: (3363) implies:
% 238.61/48.42 | (3364) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2204_3
% 238.61/48.42 |
% 238.61/48.42 | DELTA: instantiating (2998) with fresh symbols all_2206_0, all_2206_1,
% 238.61/48.42 | all_2206_2, all_2206_3, all_2206_4 gives:
% 238.61/48.42 | (3365) class_Fields_Olinordered__field(tc_RealDef_Oreal) = all_2206_4 &
% 238.61/48.42 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1552_0,
% 238.61/48.42 | all_1151_0) = all_2206_1 &
% 238.61/48.42 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2206_3 &
% 238.61/48.42 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2206_3,
% 238.61/48.42 | all_1151_0) = all_2206_2 &
% 238.61/48.42 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_898_0,
% 238.61/48.42 | all_2206_1) = all_2206_0 & $i(all_2206_1) & $i(all_2206_3) & ( ~
% 238.61/48.42 | (all_2206_2 = 0) | ~ (all_2206_4 = 0) | (( ~ (all_2206_0 = 0) |
% 238.61/48.42 | all_1609_0 = 0) & ( ~ (all_1609_0 = 0) | all_2206_0 = 0)))
% 238.61/48.42 |
% 238.61/48.42 | ALPHA: (3365) implies:
% 238.61/48.42 | (3366) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2206_3
% 238.61/48.42 |
% 238.61/48.42 | DELTA: instantiating (3039) with fresh symbols all_2208_0, all_2208_1,
% 238.61/48.42 | all_2208_2, all_2208_3, all_2208_4 gives:
% 238.61/48.42 | (3367) class_Fields_Olinordered__field(tc_RealDef_Oreal) = all_2208_4 &
% 238.61/48.42 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1530_0,
% 238.61/48.42 | all_1168_0) = all_2208_1 &
% 238.61/48.42 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2208_3 &
% 238.61/48.42 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.42 | all_2208_1) = all_2208_0 &
% 238.61/48.42 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.42 | all_2208_3) = all_2208_2 & $i(all_2208_1) & $i(all_2208_3) & ( ~
% 238.61/48.42 | (all_2208_2 = 0) | ~ (all_2208_4 = 0) | (( ~ (all_2208_0 = 0) |
% 238.61/48.42 | all_1609_0 = 0) & ( ~ (all_1609_0 = 0) | all_2208_0 = 0)))
% 238.61/48.42 |
% 238.61/48.42 | ALPHA: (3367) implies:
% 238.61/48.42 | (3368) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.42 | all_2208_3) = all_2208_2
% 238.61/48.42 | (3369) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2208_3
% 238.61/48.42 |
% 238.61/48.42 | DELTA: instantiating (3038) with fresh symbols all_2210_0, all_2210_1,
% 238.61/48.42 | all_2210_2, all_2210_3, all_2210_4 gives:
% 238.61/48.42 | (3370) class_Fields_Olinordered__field(tc_RealDef_Oreal) = all_2210_4 &
% 238.61/48.42 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1530_0,
% 238.61/48.42 | all_1168_0) = all_2210_1 &
% 238.61/48.42 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2210_3 &
% 238.61/48.42 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2210_1,
% 238.61/48.42 | all_1293_0) = all_2210_0 &
% 238.61/48.42 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2210_3,
% 238.61/48.42 | all_1168_0) = all_2210_2 & $i(all_2210_1) & $i(all_2210_3) & ( ~
% 238.61/48.42 | (all_2210_2 = 0) | ~ (all_2210_4 = 0) | (( ~ (all_2210_0 = 0) |
% 238.61/48.42 | all_1609_0 = 0) & ( ~ (all_1609_0 = 0) | all_2210_0 = 0)))
% 238.61/48.42 |
% 238.61/48.42 | ALPHA: (3370) implies:
% 238.61/48.42 | (3371) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2210_3,
% 238.61/48.42 | all_1168_0) = all_2210_2
% 238.61/48.42 | (3372) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2210_3
% 238.61/48.42 |
% 238.61/48.42 | DELTA: instantiating (2997) with fresh symbols all_2212_0, all_2212_1,
% 238.61/48.42 | all_2212_2, all_2212_3, all_2212_4 gives:
% 238.61/48.42 | (3373) class_Fields_Olinordered__field(tc_RealDef_Oreal) = all_2212_4 &
% 238.61/48.42 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1552_0,
% 238.61/48.42 | all_1151_0) = all_2212_1 &
% 238.61/48.42 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2212_3 &
% 238.61/48.42 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2212_1,
% 238.61/48.42 | all_898_0) = all_2212_0 &
% 238.61/48.42 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1151_0,
% 238.61/48.42 | all_2212_3) = all_2212_2 & $i(all_2212_1) & $i(all_2212_3) & ( ~
% 238.61/48.42 | (all_2212_2 = 0) | ~ (all_2212_4 = 0) | (( ~ (all_2212_0 = 0) |
% 238.61/48.42 | all_1609_0 = 0) & ( ~ (all_1609_0 = 0) | all_2212_0 = 0)))
% 238.61/48.42 |
% 238.61/48.42 | ALPHA: (3373) implies:
% 238.61/48.42 | (3374) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2212_3
% 238.61/48.42 |
% 238.61/48.42 | DELTA: instantiating (3023) with fresh symbols all_2214_0, all_2214_1,
% 238.61/48.42 | all_2214_2, all_2214_3, all_2214_4 gives:
% 238.61/48.42 | (3375) class_Fields_Olinordered__field(tc_RealDef_Oreal) = all_2214_4 &
% 238.61/48.42 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_892_0,
% 238.61/48.42 | all_1293_0) = all_2214_1 &
% 238.61/48.42 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2214_3 &
% 238.61/48.42 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.42 | all_2214_3) = all_2214_2 &
% 238.61/48.42 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.42 | all_2214_1) = all_2214_0 & $i(all_2214_1) & $i(all_2214_3) & ( ~
% 238.61/48.42 | (all_2214_2 = 0) | ~ (all_2214_4 = 0) | (( ~ (all_2214_0 = 0) |
% 238.61/48.42 | all_1629_3 = 0) & ( ~ (all_1629_3 = 0) | all_2214_0 = 0)))
% 238.61/48.42 |
% 238.61/48.42 | ALPHA: (3375) implies:
% 238.61/48.42 | (3376) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.42 | all_2214_3) = all_2214_2
% 238.61/48.42 | (3377) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2214_3
% 238.61/48.42 |
% 238.61/48.42 | DELTA: instantiating (3007) with fresh symbols all_2220_0, all_2220_1,
% 238.61/48.42 | all_2220_2, all_2220_3 gives:
% 238.61/48.42 | (3378) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.42 | all_1151_0) = all_2220_1 &
% 238.61/48.42 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.61/48.42 | all_1293_0) = all_2220_0 & class_Fields_Ofield(tc_RealDef_Oreal) =
% 238.61/48.42 | all_2220_3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.42 | all_2220_2 & $i(all_2220_0) & $i(all_2220_1) & $i(all_2220_2) & ( ~
% 238.61/48.42 | (all_2220_3 = 0) | all_2220_2 = all_1293_0 | all_2220_2 =
% 238.61/48.42 | all_1151_0 | (( ~ (all_2220_0 = all_2220_1) | all_1563_1 =
% 238.61/48.42 | all_1530_0) & ( ~ (all_1563_1 = all_1530_0) | all_2220_0 =
% 238.61/48.42 | all_2220_1)))
% 238.61/48.42 |
% 238.61/48.42 | ALPHA: (3378) implies:
% 238.61/48.42 | (3379) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2220_2
% 238.61/48.42 | (3380) class_Fields_Ofield(tc_RealDef_Oreal) = all_2220_3
% 238.61/48.42 |
% 238.61/48.42 | DELTA: instantiating (3006) with fresh symbols all_2222_0, all_2222_1,
% 238.61/48.42 | all_2222_2, all_2222_3 gives:
% 238.61/48.42 | (3381) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.42 | all_1530_4) = all_2222_0 &
% 238.61/48.42 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.61/48.42 | all_1293_0) = all_2222_1 & class_Fields_Ofield(tc_RealDef_Oreal) =
% 238.61/48.42 | all_2222_3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.42 | all_2222_2 & $i(all_2222_0) & $i(all_2222_1) & $i(all_2222_2) & ( ~
% 238.61/48.42 | (all_2222_3 = 0) | all_2222_2 = all_1530_4 | all_2222_2 =
% 238.61/48.42 | all_1293_0 | (( ~ (all_2222_0 = all_2222_1) | all_1563_1 =
% 238.61/48.42 | all_1530_3) & ( ~ (all_1563_1 = all_1530_3) | all_2222_0 =
% 238.61/48.42 | all_2222_1)))
% 238.61/48.42 |
% 238.61/48.42 | ALPHA: (3381) implies:
% 238.61/48.42 | (3382) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2222_2
% 238.61/48.42 | (3383) class_Fields_Ofield(tc_RealDef_Oreal) = all_2222_3
% 238.61/48.42 |
% 238.61/48.42 | DELTA: instantiating (3002) with fresh symbols all_2226_0, all_2226_1,
% 238.61/48.42 | all_2226_2, all_2226_3 gives:
% 238.61/48.42 | (3384) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.61/48.42 | all_1530_4) = all_2226_1 &
% 238.61/48.42 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.61/48.42 | all_1151_0) = all_2226_0 & class_Fields_Ofield(tc_RealDef_Oreal) =
% 238.61/48.42 | all_2226_3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.42 | all_2226_2 & $i(all_2226_0) & $i(all_2226_1) & $i(all_2226_2) & ( ~
% 238.61/48.42 | (all_2226_3 = 0) | all_2226_2 = all_1530_4 | all_2226_2 =
% 238.61/48.42 | all_1151_0 | (( ~ (all_2226_0 = all_2226_1) | all_1530_0 =
% 238.61/48.42 | all_1530_3) & ( ~ (all_1530_0 = all_1530_3) | all_2226_0 =
% 238.61/48.42 | all_2226_1)))
% 238.61/48.42 |
% 238.61/48.42 | ALPHA: (3384) implies:
% 238.61/48.42 | (3385) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2226_2
% 238.61/48.42 | (3386) class_Fields_Ofield(tc_RealDef_Oreal) = all_2226_3
% 238.61/48.42 |
% 238.61/48.42 | DELTA: instantiating (3001) with fresh symbols all_2228_0, all_2228_1,
% 238.61/48.42 | all_2228_2, all_2228_3 gives:
% 238.61/48.42 | (3387) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.61/48.42 | all_1530_4) = all_2228_0 &
% 238.61/48.42 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.61/48.42 | all_1151_0) = all_2228_1 & class_Fields_Ofield(tc_RealDef_Oreal) =
% 238.61/48.42 | all_2228_3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.42 | all_2228_2 & $i(all_2228_0) & $i(all_2228_1) & $i(all_2228_2) & ( ~
% 238.61/48.42 | (all_2228_3 = 0) | all_2228_2 = all_1530_4 | all_2228_2 =
% 238.61/48.42 | all_1151_0 | (( ~ (all_2228_0 = all_2228_1) | all_1530_0 =
% 238.61/48.42 | all_1530_3) & ( ~ (all_1530_0 = all_1530_3) | all_2228_0 =
% 238.61/48.42 | all_2228_1)))
% 238.61/48.42 |
% 238.61/48.42 | ALPHA: (3387) implies:
% 238.61/48.42 | (3388) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2228_2
% 238.61/48.42 | (3389) class_Fields_Ofield(tc_RealDef_Oreal) = all_2228_3
% 238.61/48.42 |
% 238.61/48.42 | DELTA: instantiating (3033) with fresh symbols all_2232_0, all_2232_1,
% 238.61/48.42 | all_2232_2, all_2232_3 gives:
% 238.61/48.42 | (3390) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.42 | all_1151_0) = all_2232_0 &
% 238.61/48.42 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.61/48.42 | all_1168_0) = all_2232_1 & class_Fields_Ofield(tc_RealDef_Oreal) =
% 238.61/48.42 | all_2232_3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.42 | all_2232_2 & $i(all_2232_0) & $i(all_2232_1) & $i(all_2232_2) & ( ~
% 238.61/48.42 | (all_2232_3 = 0) | all_2232_2 = all_1168_0 | all_2232_2 =
% 238.61/48.42 | all_1151_0 | (( ~ (all_2232_0 = all_2232_1) | all_1552_0 =
% 238.61/48.42 | all_1530_0) & ( ~ (all_1552_0 = all_1530_0) | all_2232_0 =
% 238.61/48.42 | all_2232_1)))
% 238.61/48.42 |
% 238.61/48.42 | ALPHA: (3390) implies:
% 238.61/48.42 | (3391) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2232_2
% 238.61/48.42 | (3392) class_Fields_Ofield(tc_RealDef_Oreal) = all_2232_3
% 238.61/48.42 |
% 238.61/48.42 | DELTA: instantiating (3029) with fresh symbols all_2234_0, all_2234_1,
% 238.61/48.42 | all_2234_2, all_2234_3 gives:
% 238.61/48.42 | (3393) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.42 | all_1530_4) = all_2234_0 &
% 238.61/48.42 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.61/48.42 | all_1168_0) = all_2234_1 & class_Fields_Ofield(tc_RealDef_Oreal) =
% 238.61/48.42 | all_2234_3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.42 | all_2234_2 & $i(all_2234_0) & $i(all_2234_1) & $i(all_2234_2) & ( ~
% 238.61/48.42 | (all_2234_3 = 0) | all_2234_2 = all_1530_4 | all_2234_2 =
% 238.61/48.42 | all_1168_0 | (( ~ (all_2234_0 = all_2234_1) | all_1552_0 =
% 238.61/48.42 | all_1530_3) & ( ~ (all_1552_0 = all_1530_3) | all_2234_0 =
% 238.61/48.42 | all_2234_1)))
% 238.61/48.42 |
% 238.61/48.42 | ALPHA: (3393) implies:
% 238.61/48.42 | (3394) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2234_2
% 238.61/48.42 | (3395) class_Fields_Ofield(tc_RealDef_Oreal) = all_2234_3
% 238.61/48.42 |
% 238.61/48.42 | DELTA: instantiating (3028) with fresh symbols all_2236_0, all_2236_1,
% 238.61/48.42 | all_2236_2, all_2236_3 gives:
% 238.61/48.42 | (3396) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.42 | all_1530_4) = all_2236_1 &
% 238.61/48.42 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.61/48.42 | all_1168_0) = all_2236_0 & class_Fields_Ofield(tc_RealDef_Oreal) =
% 238.61/48.42 | all_2236_3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.42 | all_2236_2 & $i(all_2236_0) & $i(all_2236_1) & $i(all_2236_2) & ( ~
% 238.61/48.42 | (all_2236_3 = 0) | all_2236_2 = all_1530_4 | all_2236_2 =
% 238.61/48.42 | all_1168_0 | (( ~ (all_2236_0 = all_2236_1) | all_1552_0 =
% 238.61/48.42 | all_1530_3) & ( ~ (all_1552_0 = all_1530_3) | all_2236_0 =
% 238.61/48.42 | all_2236_1)))
% 238.61/48.42 |
% 238.61/48.42 | ALPHA: (3396) implies:
% 238.61/48.42 | (3397) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2236_2
% 238.61/48.42 | (3398) class_Fields_Ofield(tc_RealDef_Oreal) = all_2236_3
% 238.61/48.42 |
% 238.61/48.42 | DELTA: instantiating (3027) with fresh symbols all_2238_0, all_2238_1,
% 238.61/48.42 | all_2238_2, all_2238_3 gives:
% 238.61/48.42 | (3399) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.42 | all_1293_0) = all_2238_0 &
% 238.61/48.42 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.42 | all_1168_0) = all_2238_1 & class_Fields_Ofield(tc_RealDef_Oreal) =
% 238.61/48.42 | all_2238_3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.42 | all_2238_2 & $i(all_2238_0) & $i(all_2238_1) & $i(all_2238_2) & ( ~
% 238.61/48.42 | (all_2238_3 = 0) | all_2238_2 = all_1293_0 | all_2238_2 =
% 238.61/48.42 | all_1168_0 | (( ~ (all_2238_0 = all_2238_1) | all_1563_1 =
% 238.61/48.42 | all_1552_0) & ( ~ (all_1563_1 = all_1552_0) | all_2238_0 =
% 238.61/48.42 | all_2238_1)))
% 238.61/48.42 |
% 238.61/48.42 | ALPHA: (3399) implies:
% 238.61/48.42 | (3400) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2238_2
% 238.61/48.42 | (3401) class_Fields_Ofield(tc_RealDef_Oreal) = all_2238_3
% 238.61/48.42 |
% 238.61/48.42 | DELTA: instantiating (3032) with fresh symbols all_2240_0, all_2240_1,
% 238.61/48.42 | all_2240_2, all_2240_3 gives:
% 238.61/48.42 | (3402) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.42 | all_1151_0) = all_2240_1 &
% 238.61/48.42 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.61/48.42 | all_1168_0) = all_2240_0 & class_Fields_Ofield(tc_RealDef_Oreal) =
% 238.61/48.42 | all_2240_3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.42 | all_2240_2 & $i(all_2240_0) & $i(all_2240_1) & $i(all_2240_2) & ( ~
% 238.61/48.42 | (all_2240_3 = 0) | all_2240_2 = all_1168_0 | all_2240_2 =
% 238.61/48.42 | all_1151_0 | (( ~ (all_2240_0 = all_2240_1) | all_1552_0 =
% 238.61/48.42 | all_1530_0) & ( ~ (all_1552_0 = all_1530_0) | all_2240_0 =
% 238.61/48.42 | all_2240_1)))
% 238.61/48.42 |
% 238.61/48.42 | ALPHA: (3402) implies:
% 238.61/48.42 | (3403) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2240_2
% 238.61/48.42 | (3404) class_Fields_Ofield(tc_RealDef_Oreal) = all_2240_3
% 238.61/48.42 |
% 238.61/48.42 | DELTA: instantiating (3008) with fresh symbols all_2242_0, all_2242_1,
% 238.61/48.42 | all_2242_2, all_2242_3 gives:
% 238.61/48.42 | (3405) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.42 | all_1151_0) = all_2242_0 &
% 238.61/48.42 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.61/48.42 | all_1293_0) = all_2242_1 & class_Fields_Ofield(tc_RealDef_Oreal) =
% 238.61/48.42 | all_2242_3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.42 | all_2242_2 & $i(all_2242_0) & $i(all_2242_1) & $i(all_2242_2) & ( ~
% 238.61/48.42 | (all_2242_3 = 0) | all_2242_2 = all_1293_0 | all_2242_2 =
% 238.61/48.42 | all_1151_0 | (( ~ (all_2242_0 = all_2242_1) | all_1563_1 =
% 238.61/48.42 | all_1530_0) & ( ~ (all_1563_1 = all_1530_0) | all_2242_0 =
% 238.61/48.42 | all_2242_1)))
% 238.61/48.42 |
% 238.61/48.42 | ALPHA: (3405) implies:
% 238.61/48.42 | (3406) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2242_2
% 238.61/48.42 | (3407) class_Fields_Ofield(tc_RealDef_Oreal) = all_2242_3
% 238.61/48.42 |
% 238.61/48.42 | DELTA: instantiating (3026) with fresh symbols all_2244_0, all_2244_1,
% 238.61/48.42 | all_2244_2, all_2244_3 gives:
% 238.61/48.43 | (3408) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.43 | all_1293_0) = all_2244_1 &
% 238.61/48.43 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.43 | all_1168_0) = all_2244_0 & class_Fields_Ofield(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2244_3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2244_2 & $i(all_2244_0) & $i(all_2244_1) & $i(all_2244_2) & ( ~
% 238.61/48.43 | (all_2244_3 = 0) | all_2244_2 = all_1293_0 | all_2244_2 =
% 238.61/48.43 | all_1168_0 | (( ~ (all_2244_0 = all_2244_1) | all_1563_1 =
% 238.61/48.43 | all_1552_0) & ( ~ (all_1563_1 = all_1552_0) | all_2244_0 =
% 238.61/48.43 | all_2244_1)))
% 238.61/48.43 |
% 238.61/48.43 | ALPHA: (3408) implies:
% 238.61/48.43 | (3409) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2244_2
% 238.61/48.43 | (3410) class_Fields_Ofield(tc_RealDef_Oreal) = all_2244_3
% 238.61/48.43 |
% 238.61/48.43 | DELTA: instantiating (3005) with fresh symbols all_2246_0, all_2246_1,
% 238.61/48.43 | all_2246_2, all_2246_3 gives:
% 238.61/48.43 | (3411) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.43 | all_1530_4) = all_2246_1 &
% 238.61/48.43 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_898_0,
% 238.61/48.43 | all_1293_0) = all_2246_0 & class_Fields_Ofield(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2246_3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2246_2 & $i(all_2246_0) & $i(all_2246_1) & $i(all_2246_2) & ( ~
% 238.61/48.43 | (all_2246_3 = 0) | all_2246_2 = all_1530_4 | all_2246_2 =
% 238.61/48.43 | all_1293_0 | (( ~ (all_2246_0 = all_2246_1) | all_1563_1 =
% 238.61/48.43 | all_1530_3) & ( ~ (all_1563_1 = all_1530_3) | all_2246_0 =
% 238.61/48.43 | all_2246_1)))
% 238.61/48.43 |
% 238.61/48.43 | ALPHA: (3411) implies:
% 238.61/48.43 | (3412) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2246_2
% 238.61/48.43 | (3413) class_Fields_Ofield(tc_RealDef_Oreal) = all_2246_3
% 238.61/48.43 |
% 238.61/48.43 | DELTA: instantiating (3095) with fresh symbols all_2270_0, all_2270_1,
% 238.61/48.43 | all_2270_2, all_2270_3, all_2270_4 gives:
% 238.61/48.43 | (3414) class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2270_4 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.61/48.43 | all_1293_0, all_892_0) = all_2270_0 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.43 | all_892_0) = all_2270_1 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.61/48.43 | all_1293_0) = all_2270_2 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.61/48.43 | all_1168_0) = all_2270_3 & ( ~ (all_2270_4 = 0) | (( ~ (all_1629_3
% 238.61/48.43 | = 0) | (all_2270_0 = 0 & all_2270_1 = 0) | (all_2270_2 = 0 &
% 238.61/48.43 | all_2270_3 = 0)) & (all_1629_3 = 0 | (( ~ (all_2270_0 = 0) |
% 238.61/48.43 | ~ (all_2270_1 = 0)) & ( ~ (all_2270_2 = 0) | ~
% 238.61/48.43 | (all_2270_3 = 0))))))
% 238.61/48.43 |
% 238.61/48.43 | ALPHA: (3414) implies:
% 238.61/48.43 | (3415) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.61/48.43 | all_1168_0) = all_2270_3
% 238.61/48.43 | (3416) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.61/48.43 | all_1293_0) = all_2270_2
% 238.61/48.43 | (3417) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.43 | all_892_0) = all_2270_1
% 238.61/48.43 | (3418) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.43 | all_892_0) = all_2270_0
% 238.61/48.43 | (3419) class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2270_4
% 238.61/48.43 | (3420) ~ (all_2270_4 = 0) | (( ~ (all_1629_3 = 0) | (all_2270_0 = 0 &
% 238.61/48.43 | all_2270_1 = 0) | (all_2270_2 = 0 & all_2270_3 = 0)) &
% 238.61/48.43 | (all_1629_3 = 0 | (( ~ (all_2270_0 = 0) | ~ (all_2270_1 = 0)) & (
% 238.61/48.43 | ~ (all_2270_2 = 0) | ~ (all_2270_3 = 0)))))
% 238.61/48.43 |
% 238.61/48.43 | DELTA: instantiating (3040) with fresh symbols all_2272_0, all_2272_1,
% 238.61/48.43 | all_2272_2, all_2272_3, all_2272_4, all_2272_5, all_2272_6, all_2272_7
% 238.61/48.43 | gives:
% 238.61/48.43 | (3421) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_892_0,
% 238.61/48.43 | all_1168_0) = all_2272_4 &
% 238.61/48.43 | class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2272_7 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2272_6 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.61/48.43 | all_2272_4, all_1293_0) = all_2272_3 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2272_6,
% 238.61/48.43 | all_1168_0) = all_2272_5 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.43 | all_2272_4) = all_2272_1 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.43 | all_2272_6) = all_2272_2 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.61/48.43 | all_2272_6) = all_2272_0 & $i(all_2272_4) & $i(all_2272_6) & ( ~
% 238.61/48.43 | (all_2272_7 = 0) | (( ~ (all_2272_5 = 0) | all_2272_3 = 0) &
% 238.61/48.43 | (all_2272_5 = 0 | (( ~ (all_2272_2 = 0) | all_2272_1 = 0) &
% 238.61/48.43 | (all_2272_0 = 0 | all_2272_2 = 0)))))
% 238.61/48.43 |
% 238.61/48.43 | ALPHA: (3421) implies:
% 238.61/48.43 | (3422) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.61/48.43 | all_2272_6) = all_2272_0
% 238.61/48.43 | (3423) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2272_6
% 238.61/48.43 | (3424) class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2272_7
% 238.61/48.43 |
% 238.61/48.43 | DELTA: instantiating (3009) with fresh symbols all_2274_0, all_2274_1,
% 238.61/48.43 | all_2274_2, all_2274_3, all_2274_4, all_2274_5, all_2274_6, all_2274_7
% 238.61/48.43 | gives:
% 238.61/48.43 | (3425) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1646_0,
% 238.61/48.43 | all_1293_0) = all_2274_4 &
% 238.61/48.43 | class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2274_7 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2274_6 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.61/48.43 | all_2274_4, all_1168_0) = all_2274_1 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2274_6,
% 238.61/48.43 | all_1646_0) = all_2274_0 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2274_6,
% 238.61/48.43 | all_1293_0) = all_2274_5 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.43 | all_2274_6) = all_2274_2 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.43 | all_2274_4) = all_2274_3 & $i(all_2274_4) & $i(all_2274_6) & ( ~
% 238.61/48.43 | (all_2274_7 = 0) | (( ~ (all_2274_5 = 0) | all_2274_3 = 0) &
% 238.61/48.43 | (all_2274_5 = 0 | (( ~ (all_2274_2 = 0) | all_2274_1 = 0) &
% 238.61/48.43 | (all_2274_0 = 0 | all_2274_2 = 0)))))
% 238.61/48.43 |
% 238.61/48.43 | ALPHA: (3425) implies:
% 238.61/48.43 | (3426) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.43 | all_2274_6) = all_2274_2
% 238.61/48.43 | (3427) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2274_6
% 238.61/48.43 | (3428) class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2274_7
% 238.61/48.43 |
% 238.61/48.43 | DELTA: instantiating (3113) with fresh symbols all_2276_0, all_2276_1,
% 238.61/48.43 | all_2276_2, all_2276_3, all_2276_4, all_2276_5, all_2276_6, all_2276_7
% 238.61/48.43 | gives:
% 238.61/48.43 | (3429) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1530_0,
% 238.61/48.43 | all_1530_4) = all_2276_4 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2276_4,
% 238.61/48.43 | all_898_0) = all_2276_1 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2276_6,
% 238.61/48.43 | all_1530_0) = all_2276_0 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_898_0,
% 238.61/48.43 | all_2276_4) = all_2276_3 &
% 238.61/48.43 | class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2276_7 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2276_6 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.61/48.43 | all_2276_6, all_1530_4) = all_2276_5 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1530_4,
% 238.61/48.43 | all_2276_6) = all_2276_2 & $i(all_2276_4) & $i(all_2276_6) & ( ~
% 238.61/48.43 | (all_2276_7 = 0) | (( ~ (all_2276_5 = 0) | all_2276_3 = 0) &
% 238.61/48.43 | (all_2276_5 = 0 | (( ~ (all_2276_2 = 0) | all_2276_1 = 0) &
% 238.61/48.43 | (all_2276_0 = 0 | all_2276_2 = 0)))))
% 238.61/48.43 |
% 238.61/48.43 | ALPHA: (3429) implies:
% 238.61/48.43 | (3430) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2276_6
% 238.61/48.43 | (3431) class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2276_7
% 238.61/48.43 |
% 238.61/48.43 | DELTA: instantiating (3018) with fresh symbols all_2278_0, all_2278_1,
% 238.61/48.43 | all_2278_2, all_2278_3, all_2278_4, all_2278_5, all_2278_6, all_2278_7
% 238.61/48.43 | gives:
% 238.61/48.43 | (3432) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1151_0,
% 238.61/48.43 | all_1293_0) = all_2278_4 &
% 238.61/48.43 | class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2278_7 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2278_6 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.61/48.43 | all_2278_4, all_1168_0) = all_2278_1 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2278_6,
% 238.61/48.43 | all_1293_0) = all_2278_5 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2278_6,
% 238.61/48.43 | all_1151_0) = all_2278_0 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.43 | all_2278_6) = all_2278_2 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.43 | all_2278_4) = all_2278_3 & $i(all_2278_4) & $i(all_2278_6) & ( ~
% 238.61/48.43 | (all_2278_7 = 0) | (( ~ (all_2278_5 = 0) | all_2278_3 = 0) &
% 238.61/48.43 | (all_2278_5 = 0 | (( ~ (all_2278_2 = 0) | all_2278_1 = 0) &
% 238.61/48.43 | (all_2278_0 = 0 | all_2278_2 = 0)))))
% 238.61/48.43 |
% 238.61/48.43 | ALPHA: (3432) implies:
% 238.61/48.43 | (3433) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.43 | all_2278_6) = all_2278_2
% 238.61/48.43 | (3434) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2278_6
% 238.61/48.43 | (3435) class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2278_7
% 238.61/48.43 |
% 238.61/48.43 | DELTA: instantiating (3015) with fresh symbols all_2280_0, all_2280_1,
% 238.61/48.43 | all_2280_2, all_2280_3, all_2280_4, all_2280_5, all_2280_6, all_2280_7
% 238.61/48.43 | gives:
% 238.61/48.43 | (3436) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1563_0,
% 238.61/48.43 | all_1293_0) = all_2280_4 &
% 238.61/48.43 | class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2280_7 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2280_6 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.61/48.43 | all_2280_4, all_1168_0) = all_2280_1 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2280_6,
% 238.61/48.43 | all_1563_0) = all_2280_0 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2280_6,
% 238.61/48.43 | all_1293_0) = all_2280_5 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.43 | all_2280_6) = all_2280_2 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.43 | all_2280_4) = all_2280_3 & $i(all_2280_4) & $i(all_2280_6) & ( ~
% 238.61/48.43 | (all_2280_7 = 0) | (( ~ (all_2280_5 = 0) | all_2280_3 = 0) &
% 238.61/48.43 | (all_2280_5 = 0 | (( ~ (all_2280_2 = 0) | all_2280_1 = 0) &
% 238.61/48.43 | (all_2280_0 = 0 | all_2280_2 = 0)))))
% 238.61/48.43 |
% 238.61/48.43 | ALPHA: (3436) implies:
% 238.61/48.43 | (3437) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.43 | all_2280_6) = all_2280_2
% 238.61/48.43 | (3438) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2280_6
% 238.61/48.43 | (3439) class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2280_7
% 238.61/48.43 |
% 238.61/48.43 | DELTA: instantiating (3034) with fresh symbols all_2282_0, all_2282_1,
% 238.61/48.43 | all_2282_2, all_2282_3, all_2282_4, all_2282_5, all_2282_6, all_2282_7
% 238.61/48.43 | gives:
% 238.61/48.43 | (3440) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1617_8,
% 238.61/48.43 | all_1168_0) = all_2282_4 &
% 238.61/48.43 | class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2282_7 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2282_6 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.61/48.43 | all_2282_4, all_1293_0) = all_2282_3 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2282_6,
% 238.61/48.43 | all_1168_0) = all_2282_5 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1617_8,
% 238.61/48.43 | all_2282_6) = all_2282_0 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.43 | all_2282_4) = all_2282_1 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.43 | all_2282_6) = all_2282_2 & $i(all_2282_4) & $i(all_2282_6) & ( ~
% 238.61/48.43 | (all_2282_7 = 0) | (( ~ (all_2282_5 = 0) | all_2282_3 = 0) &
% 238.61/48.43 | (all_2282_5 = 0 | (( ~ (all_2282_2 = 0) | all_2282_1 = 0) &
% 238.61/48.43 | (all_2282_0 = 0 | all_2282_2 = 0)))))
% 238.61/48.43 |
% 238.61/48.43 | ALPHA: (3440) implies:
% 238.61/48.43 | (3441) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.43 | all_2282_6) = all_2282_2
% 238.61/48.43 | (3442) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2282_6
% 238.61/48.43 | (3443) class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2282_7
% 238.61/48.43 |
% 238.61/48.43 | DELTA: instantiating (3116) with fresh symbols all_2284_0, all_2284_1,
% 238.61/48.43 | all_2284_2, all_2284_3, all_2284_4, all_2284_5, all_2284_6, all_2284_7
% 238.61/48.43 | gives:
% 238.61/48.43 | (3444) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1530_3,
% 238.61/48.43 | all_1151_0) = all_2284_4 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2284_4,
% 238.61/48.43 | all_898_0) = all_2284_3 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1530_3,
% 238.61/48.43 | all_2284_6) = all_2284_0 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_898_0,
% 238.61/48.43 | all_2284_4) = all_2284_1 &
% 238.61/48.43 | class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2284_7 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2284_6 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.61/48.43 | all_2284_6, all_1151_0) = all_2284_5 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1151_0,
% 238.61/48.43 | all_2284_6) = all_2284_2 & $i(all_2284_4) & $i(all_2284_6) & ( ~
% 238.61/48.43 | (all_2284_7 = 0) | (( ~ (all_2284_5 = 0) | all_2284_3 = 0) &
% 238.61/48.43 | (all_2284_5 = 0 | (( ~ (all_2284_2 = 0) | all_2284_1 = 0) &
% 238.61/48.43 | (all_2284_0 = 0 | all_2284_2 = 0)))))
% 238.61/48.43 |
% 238.61/48.43 | ALPHA: (3444) implies:
% 238.61/48.43 | (3445) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2284_6
% 238.61/48.43 | (3446) class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2284_7
% 238.61/48.43 |
% 238.61/48.43 | DELTA: instantiating (3012) with fresh symbols all_2286_0, all_2286_1,
% 238.61/48.43 | all_2286_2, all_2286_3, all_2286_4, all_2286_5, all_2286_6, all_2286_7
% 238.61/48.43 | gives:
% 238.61/48.43 | (3447) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1644_0,
% 238.61/48.43 | all_1293_0) = all_2286_4 &
% 238.61/48.43 | class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2286_7 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2286_6 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.61/48.43 | all_2286_4, all_1168_0) = all_2286_1 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2286_6,
% 238.61/48.43 | all_1644_0) = all_2286_0 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2286_6,
% 238.61/48.43 | all_1293_0) = all_2286_5 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.43 | all_2286_6) = all_2286_2 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.43 | all_2286_4) = all_2286_3 & $i(all_2286_4) & $i(all_2286_6) & ( ~
% 238.61/48.43 | (all_2286_7 = 0) | (( ~ (all_2286_5 = 0) | all_2286_3 = 0) &
% 238.61/48.43 | (all_2286_5 = 0 | (( ~ (all_2286_2 = 0) | all_2286_1 = 0) &
% 238.61/48.43 | (all_2286_0 = 0 | all_2286_2 = 0)))))
% 238.61/48.43 |
% 238.61/48.43 | ALPHA: (3447) implies:
% 238.61/48.43 | (3448) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.43 | all_2286_6) = all_2286_2
% 238.61/48.43 | (3449) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2286_6
% 238.61/48.43 | (3450) class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2286_7
% 238.61/48.43 |
% 238.61/48.43 | DELTA: instantiating (3093) with fresh symbols all_2288_0, all_2288_1,
% 238.61/48.43 | all_2288_2, all_2288_3, all_2288_4, all_2288_5, all_2288_6, all_2288_7,
% 238.61/48.43 | all_2288_8 gives:
% 238.61/48.43 | (3451) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_892_0,
% 238.61/48.43 | all_1168_0) = all_2288_4 &
% 238.61/48.43 | class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2288_8 & class_Int_Onumber(tc_RealDef_Oreal) = all_2288_7 &
% 238.61/48.43 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2288_6 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2288_4,
% 238.61/48.43 | all_1293_0) = all_2288_3 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2288_6,
% 238.61/48.43 | all_1168_0) = all_2288_5 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.43 | all_2288_4) = all_2288_1 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.43 | all_2288_6) = all_2288_2 &
% 238.61/48.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.61/48.43 | all_2288_6) = all_2288_0 & $i(all_2288_4) & $i(all_2288_6) & ( ~
% 238.61/48.43 | (all_2288_7 = 0) | ~ (all_2288_8 = 0) | (( ~ (all_2288_5 = 0) |
% 238.61/48.43 | all_2288_3 = 0) & (all_2288_5 = 0 | (( ~ (all_2288_2 = 0) |
% 238.61/48.43 | all_2288_1 = 0) & (all_2288_0 = 0 | all_2288_2 = 0)))))
% 238.61/48.43 |
% 238.61/48.43 | ALPHA: (3451) implies:
% 238.61/48.43 | (3452) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.61/48.43 | all_2288_6) = all_2288_0
% 238.61/48.43 | (3453) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.43 | all_2288_6) = all_2288_2
% 238.61/48.43 | (3454) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2288_6,
% 238.61/48.43 | all_1168_0) = all_2288_5
% 238.61/48.43 | (3455) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2288_6
% 238.61/48.43 | (3456) class_Int_Onumber(tc_RealDef_Oreal) = all_2288_7
% 238.61/48.43 | (3457) class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.43 | all_2288_8
% 238.61/48.43 | (3458) ~ (all_2288_7 = 0) | ~ (all_2288_8 = 0) | (( ~ (all_2288_5 = 0) |
% 238.61/48.43 | all_2288_3 = 0) & (all_2288_5 = 0 | (( ~ (all_2288_2 = 0) |
% 238.61/48.43 | all_2288_1 = 0) & (all_2288_0 = 0 | all_2288_2 = 0))))
% 238.61/48.43 |
% 238.61/48.43 | DELTA: instantiating (3091) with fresh symbols all_2290_0, all_2290_1,
% 238.61/48.43 | all_2290_2, all_2290_3, all_2290_4, all_2290_5, all_2290_6, all_2290_7,
% 238.61/48.43 | all_2290_8 gives:
% 238.61/48.44 | (3459) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1617_8,
% 238.61/48.44 | all_1168_0) = all_2290_4 &
% 238.61/48.44 | class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.44 | all_2290_8 & class_Int_Onumber(tc_RealDef_Oreal) = all_2290_7 &
% 238.61/48.44 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2290_6 &
% 238.61/48.44 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2290_4,
% 238.61/48.44 | all_1293_0) = all_2290_3 &
% 238.61/48.44 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2290_6,
% 238.61/48.44 | all_1168_0) = all_2290_5 &
% 238.61/48.44 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1617_8,
% 238.61/48.44 | all_2290_6) = all_2290_0 &
% 238.61/48.44 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.44 | all_2290_4) = all_2290_1 &
% 238.61/48.44 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.44 | all_2290_6) = all_2290_2 & $i(all_2290_4) & $i(all_2290_6) & ( ~
% 238.61/48.44 | (all_2290_7 = 0) | ~ (all_2290_8 = 0) | (( ~ (all_2290_5 = 0) |
% 238.61/48.44 | all_2290_3 = 0) & (all_2290_5 = 0 | (( ~ (all_2290_2 = 0) |
% 238.61/48.44 | all_2290_1 = 0) & (all_2290_0 = 0 | all_2290_2 = 0)))))
% 238.61/48.44 |
% 238.61/48.44 | ALPHA: (3459) implies:
% 238.61/48.44 | (3460) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.44 | all_2290_6) = all_2290_2
% 238.61/48.44 | (3461) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2290_6,
% 238.61/48.44 | all_1168_0) = all_2290_5
% 238.61/48.44 | (3462) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2290_6
% 238.61/48.44 | (3463) class_Int_Onumber(tc_RealDef_Oreal) = all_2290_7
% 238.61/48.44 | (3464) class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.44 | all_2290_8
% 238.61/48.44 |
% 238.61/48.44 | DELTA: instantiating (3037) with fresh symbols all_2292_0, all_2292_1,
% 238.61/48.44 | all_2292_2, all_2292_3, all_2292_4, all_2292_5, all_2292_6, all_2292_7
% 238.61/48.44 | gives:
% 238.61/48.44 | (3465) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1530_0,
% 238.61/48.44 | all_1168_0) = all_2292_4 &
% 238.61/48.44 | class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.44 | all_2292_7 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.44 | all_2292_6 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.61/48.44 | all_2292_4, all_1293_0) = all_2292_3 &
% 238.61/48.44 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2292_6,
% 238.61/48.44 | all_1168_0) = all_2292_5 &
% 238.61/48.44 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1530_0,
% 238.61/48.44 | all_2292_6) = all_2292_0 &
% 238.61/48.44 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.44 | all_2292_4) = all_2292_1 &
% 238.61/48.44 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.44 | all_2292_6) = all_2292_2 & $i(all_2292_4) & $i(all_2292_6) & ( ~
% 238.61/48.44 | (all_2292_7 = 0) | (( ~ (all_1609_0 = 0) | (( ~ (all_2292_5 = 0) |
% 238.61/48.44 | all_2292_3 = 0) & (all_2292_5 = 0 | (( ~ (all_2292_2 = 0)
% 238.61/48.44 | | all_2292_1 = 0) & (all_2292_0 = 0 | all_2292_2 =
% 238.61/48.44 | 0))))) & (all_1609_0 = 0 | (all_2292_5 = 0 & ~
% 238.61/48.44 | (all_2292_3 = 0)) | ( ~ (all_2292_5 = 0) & ((all_2292_2 = 0
% 238.61/48.44 | & ~ (all_2292_1 = 0)) | ( ~ (all_2292_0 = 0) & ~
% 238.61/48.44 | (all_2292_2 = 0)))))))
% 238.61/48.44 |
% 238.61/48.44 | ALPHA: (3465) implies:
% 238.61/48.44 | (3466) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2292_6,
% 238.61/48.44 | all_1168_0) = all_2292_5
% 238.61/48.44 | (3467) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2292_6
% 238.61/48.44 | (3468) class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.44 | all_2292_7
% 238.61/48.44 |
% 238.61/48.44 | DELTA: instantiating (3021) with fresh symbols all_2294_0, all_2294_1,
% 238.61/48.44 | all_2294_2, all_2294_3, all_2294_4, all_2294_5, all_2294_6, all_2294_7
% 238.61/48.44 | gives:
% 238.61/48.44 | (3469) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_892_0,
% 238.61/48.44 | all_1293_0) = all_2294_4 &
% 238.61/48.44 | class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.44 | all_2294_7 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.44 | all_2294_6 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.61/48.44 | all_2294_4, all_1168_0) = all_2294_3 &
% 238.61/48.44 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2294_6,
% 238.61/48.44 | all_1293_0) = all_2294_5 &
% 238.61/48.44 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.44 | all_2294_6) = all_2294_2 &
% 238.61/48.44 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.44 | all_2294_4) = all_2294_1 &
% 238.61/48.44 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.61/48.44 | all_2294_6) = all_2294_0 & $i(all_2294_4) & $i(all_2294_6) & ( ~
% 238.61/48.44 | (all_2294_7 = 0) | (( ~ (all_1629_3 = 0) | (( ~ (all_2294_5 = 0) |
% 238.61/48.44 | all_2294_3 = 0) & (all_2294_5 = 0 | (( ~ (all_2294_2 = 0)
% 238.61/48.44 | | all_2294_1 = 0) & (all_2294_0 = 0 | all_2294_2 =
% 238.61/48.44 | 0))))) & (all_1629_3 = 0 | (all_2294_5 = 0 & ~
% 238.61/48.44 | (all_2294_3 = 0)) | ( ~ (all_2294_5 = 0) & ((all_2294_2 = 0
% 238.61/48.44 | & ~ (all_2294_1 = 0)) | ( ~ (all_2294_0 = 0) & ~
% 238.61/48.44 | (all_2294_2 = 0)))))))
% 238.61/48.44 |
% 238.61/48.44 | ALPHA: (3469) implies:
% 238.61/48.44 | (3470) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.61/48.44 | all_2294_6) = all_2294_0
% 238.61/48.44 | (3471) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.44 | all_2294_6) = all_2294_2
% 238.61/48.44 | (3472) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2294_6
% 238.61/48.44 | (3473) class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.44 | all_2294_7
% 238.61/48.44 |
% 238.61/48.44 | DELTA: instantiating (2996) with fresh symbols all_2296_0, all_2296_1,
% 238.61/48.44 | all_2296_2, all_2296_3, all_2296_4, all_2296_5, all_2296_6, all_2296_7
% 238.61/48.44 | gives:
% 238.61/48.44 | (3474) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1552_0,
% 238.61/48.44 | all_1151_0) = all_2296_4 &
% 238.61/48.44 | class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.44 | all_2296_7 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 238.61/48.44 | all_2296_6 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.61/48.44 | all_2296_4, all_898_0) = all_2296_1 &
% 238.61/48.44 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2296_6,
% 238.61/48.44 | all_1552_0) = all_2296_0 &
% 238.61/48.44 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2296_6,
% 238.61/48.44 | all_1151_0) = all_2296_5 &
% 238.61/48.44 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1151_0,
% 238.61/48.44 | all_2296_6) = all_2296_2 &
% 238.61/48.44 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_898_0,
% 238.61/48.44 | all_2296_4) = all_2296_3 & $i(all_2296_4) & $i(all_2296_6) & ( ~
% 238.61/48.44 | (all_2296_7 = 0) | (( ~ (all_1609_0 = 0) | (( ~ (all_2296_5 = 0) |
% 238.61/48.44 | all_2296_3 = 0) & (all_2296_5 = 0 | (( ~ (all_2296_2 = 0)
% 238.61/48.44 | | all_2296_1 = 0) & (all_2296_0 = 0 | all_2296_2 =
% 238.61/48.44 | 0))))) & (all_1609_0 = 0 | (all_2296_5 = 0 & ~
% 238.61/48.44 | (all_2296_3 = 0)) | ( ~ (all_2296_5 = 0) & ((all_2296_2 = 0
% 238.61/48.44 | & ~ (all_2296_1 = 0)) | ( ~ (all_2296_0 = 0) & ~
% 238.61/48.44 | (all_2296_2 = 0)))))))
% 238.61/48.44 |
% 238.61/48.44 | ALPHA: (3474) implies:
% 238.61/48.44 | (3475) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2296_6
% 238.61/48.44 | (3476) class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.44 | all_2296_7
% 238.61/48.44 |
% 238.61/48.44 | DELTA: instantiating (3092) with fresh symbols all_2298_0, all_2298_1,
% 238.61/48.44 | all_2298_2, all_2298_3, all_2298_4, all_2298_5, all_2298_6, all_2298_7,
% 238.61/48.44 | all_2298_8 gives:
% 238.61/48.44 | (3477) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1530_0,
% 238.61/48.44 | all_1168_0) = all_2298_4 &
% 238.61/48.44 | class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.44 | all_2298_8 & class_Int_Onumber(tc_RealDef_Oreal) = all_2298_7 &
% 238.61/48.44 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2298_6 &
% 238.61/48.44 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2298_4,
% 238.61/48.44 | all_1293_0) = all_2298_3 &
% 238.61/48.44 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2298_6,
% 238.61/48.44 | all_1168_0) = all_2298_5 &
% 238.61/48.44 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1530_0,
% 238.61/48.44 | all_2298_6) = all_2298_0 &
% 238.61/48.44 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.44 | all_2298_4) = all_2298_1 &
% 238.61/48.44 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.44 | all_2298_6) = all_2298_2 & $i(all_2298_4) & $i(all_2298_6) & ( ~
% 238.61/48.44 | (all_2298_7 = 0) | ~ (all_2298_8 = 0) | (( ~ (all_1609_0 = 0) |
% 238.61/48.44 | (( ~ (all_2298_5 = 0) | all_2298_3 = 0) & (all_2298_5 = 0 | ((
% 238.61/48.44 | ~ (all_2298_2 = 0) | all_2298_1 = 0) & (all_2298_0 = 0
% 238.61/48.44 | | all_2298_2 = 0))))) & (all_1609_0 = 0 | (all_2298_5
% 238.61/48.44 | = 0 & ~ (all_2298_3 = 0)) | ( ~ (all_2298_5 = 0) &
% 238.61/48.44 | ((all_2298_2 = 0 & ~ (all_2298_1 = 0)) | ( ~ (all_2298_0 =
% 238.61/48.44 | 0) & ~ (all_2298_2 = 0)))))))
% 238.61/48.44 |
% 238.61/48.44 | ALPHA: (3477) implies:
% 238.61/48.44 | (3478) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.44 | all_2298_6) = all_2298_2
% 238.61/48.44 | (3479) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2298_6,
% 238.61/48.44 | all_1168_0) = all_2298_5
% 238.61/48.44 | (3480) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2298_6
% 238.61/48.44 | (3481) class_Int_Onumber(tc_RealDef_Oreal) = all_2298_7
% 238.61/48.44 | (3482) class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) =
% 238.61/48.44 | all_2298_8
% 238.61/48.44 |
% 238.61/48.44 | REDUCE: (2175), (3278) imply:
% 238.61/48.44 | (3483) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.61/48.44 | all_1274_3) = all_2096_1
% 238.61/48.44 |
% 238.61/48.44 | REDUCE: (2148), (3138) imply:
% 238.61/48.44 | (3484) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1274_3,
% 238.61/48.44 | all_892_0) = all_1776_0
% 238.61/48.44 |
% 238.61/48.44 | REDUCE: (2137), (3126) imply:
% 238.61/48.44 | (3485) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.61/48.44 | all_892_0) = all_1708_0
% 238.61/48.44 |
% 238.61/48.44 | BETA: splitting (3031) gives:
% 238.61/48.44 |
% 238.61/48.44 | Case 1:
% 238.61/48.44 | |
% 238.61/48.44 | | (3486) all_1609_0 = 0
% 238.61/48.44 | |
% 238.61/48.44 | | REDUCE: (1006), (3486) imply:
% 238.61/48.44 | | (3487) $false
% 238.61/48.44 | |
% 238.61/48.44 | | CLOSE: (3487) is inconsistent.
% 238.61/48.44 | |
% 238.61/48.44 | Case 2:
% 238.61/48.44 | |
% 238.61/48.44 | | (3488) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: any] : ? [v4:
% 238.61/48.44 | | any] : ? [v5: any] :
% 238.61/48.44 | | (class_Fields_Olinordered__field(tc_RealDef_Oreal) = v0 &
% 238.61/48.44 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_898_0,
% 238.61/48.44 | | all_1293_0) = v3 &
% 238.61/48.44 | | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 238.61/48.44 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1168_0)
% 238.61/48.44 | | = v4 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 238.61/48.44 | | all_898_0) = v2 &
% 238.61/48.44 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.44 | | all_1151_0) = v5 & $i(v1) & ( ~ (v5 = 0) | ~ (v4 = 0) | ~
% 238.61/48.44 | | (v3 = 0) | ~ (v2 = 0) | ~ (v0 = 0)))
% 238.61/48.44 | |
% 238.61/48.44 | | DELTA: instantiating (3488) with fresh symbols all_2327_0, all_2327_1,
% 238.61/48.44 | | all_2327_2, all_2327_3, all_2327_4, all_2327_5 gives:
% 238.61/48.45 | | (3489) class_Fields_Olinordered__field(tc_RealDef_Oreal) = all_2327_5 &
% 238.61/48.45 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_898_0,
% 238.61/48.45 | | all_1293_0) = all_2327_2 &
% 238.61/48.45 | | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2327_4 &
% 238.61/48.45 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2327_4,
% 238.61/48.45 | | all_1168_0) = all_2327_1 &
% 238.61/48.45 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2327_4,
% 238.61/48.45 | | all_898_0) = all_2327_3 &
% 238.61/48.45 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.45 | | all_1151_0) = all_2327_0 & $i(all_2327_4) & ( ~ (all_2327_0 = 0)
% 238.61/48.45 | | | ~ (all_2327_1 = 0) | ~ (all_2327_2 = 0) | ~ (all_2327_3 =
% 238.61/48.45 | | 0) | ~ (all_2327_5 = 0))
% 238.61/48.45 | |
% 238.61/48.45 | | ALPHA: (3489) implies:
% 238.61/48.45 | | (3490) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2327_4
% 238.61/48.45 | |
% 238.61/48.45 | | BETA: splitting (2995) gives:
% 238.61/48.45 | |
% 238.61/48.45 | | Case 1:
% 238.61/48.45 | | |
% 238.61/48.45 | | | (3491) all_1609_0 = 0
% 238.61/48.45 | | |
% 238.61/48.45 | | | REDUCE: (1006), (3491) imply:
% 238.61/48.45 | | | (3492) $false
% 238.61/48.45 | | |
% 238.61/48.45 | | | CLOSE: (3492) is inconsistent.
% 238.61/48.45 | | |
% 238.61/48.45 | | Case 2:
% 238.61/48.45 | | |
% 238.61/48.45 | | | (3493) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ?
% 238.61/48.45 | | | [v4: any] : (class_Fields_Olinordered__field(tc_RealDef_Oreal) =
% 238.61/48.45 | | | v0 & c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,
% 238.61/48.45 | | | all_1552_0, all_1151_0) = v3 &
% 238.61/48.45 | | | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 238.61/48.45 | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 238.61/48.45 | | | all_1151_0) = v2 &
% 238.61/48.45 | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_898_0, v3)
% 238.61/48.45 | | | = v4 & $i(v3) & $i(v1) & ( ~ (v4 = 0) | ~ (v2 = 0) | ~ (v0 =
% 238.61/48.45 | | | 0)))
% 238.61/48.45 | | |
% 238.61/48.45 | | | DELTA: instantiating (3493) with fresh symbols all_2353_0, all_2353_1,
% 238.61/48.45 | | | all_2353_2, all_2353_3, all_2353_4 gives:
% 238.61/48.45 | | | (3494) class_Fields_Olinordered__field(tc_RealDef_Oreal) = all_2353_4 &
% 238.61/48.45 | | | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1552_0,
% 238.61/48.45 | | | all_1151_0) = all_2353_1 &
% 238.61/48.45 | | | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2353_3 &
% 238.61/48.45 | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2353_3,
% 238.61/48.45 | | | all_1151_0) = all_2353_2 &
% 238.61/48.45 | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_898_0,
% 238.61/48.45 | | | all_2353_1) = all_2353_0 & $i(all_2353_1) & $i(all_2353_3) & (
% 238.61/48.45 | | | ~ (all_2353_0 = 0) | ~ (all_2353_2 = 0) | ~ (all_2353_4 =
% 238.61/48.45 | | | 0))
% 238.61/48.45 | | |
% 238.61/48.45 | | | ALPHA: (3494) implies:
% 238.61/48.45 | | | (3495) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2353_3
% 238.61/48.45 | | |
% 238.61/48.45 | | | BETA: splitting (3030) gives:
% 238.61/48.45 | | |
% 238.61/48.45 | | | Case 1:
% 238.61/48.45 | | | |
% 238.61/48.45 | | | | (3496) all_1609_0 = 0
% 238.61/48.45 | | | |
% 238.61/48.45 | | | | REDUCE: (1006), (3496) imply:
% 238.61/48.45 | | | | (3497) $false
% 238.61/48.45 | | | |
% 238.61/48.45 | | | | CLOSE: (3497) is inconsistent.
% 238.61/48.45 | | | |
% 238.61/48.45 | | | Case 2:
% 238.61/48.45 | | | |
% 238.61/48.45 | | | | (3498) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: any] : ?
% 238.61/48.45 | | | | [v4: any] : ? [v5: any] :
% 238.61/48.45 | | | | (class_Fields_Olinordered__field(tc_RealDef_Oreal) = v0 &
% 238.61/48.45 | | | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 238.61/48.45 | | | | all_898_0) = v2 &
% 238.61/48.45 | | | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 238.61/48.45 | | | | all_1168_0, all_1151_0) = v5 &
% 238.61/48.45 | | | | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 238.61/48.45 | | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 238.61/48.45 | | | | all_1168_0) = v4 &
% 238.61/48.45 | | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_898_0,
% 238.61/48.45 | | | | all_1293_0) = v3 & $i(v1) & ( ~ (v5 = 0) | ~ (v4 = 0) |
% 238.61/48.45 | | | | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v0 = 0)))
% 238.61/48.45 | | | |
% 238.61/48.45 | | | | DELTA: instantiating (3498) with fresh symbols all_2363_0, all_2363_1,
% 238.61/48.45 | | | | all_2363_2, all_2363_3, all_2363_4, all_2363_5 gives:
% 238.61/48.45 | | | | (3499) class_Fields_Olinordered__field(tc_RealDef_Oreal) = all_2363_5
% 238.61/48.45 | | | | & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 238.61/48.45 | | | | all_2363_4, all_898_0) = all_2363_3 &
% 238.61/48.45 | | | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 238.61/48.45 | | | | all_1168_0, all_1151_0) = all_2363_0 &
% 238.61/48.45 | | | | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2363_4 &
% 238.61/48.45 | | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2363_4,
% 238.61/48.45 | | | | all_1168_0) = all_2363_1 &
% 238.61/48.45 | | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_898_0,
% 238.61/48.45 | | | | all_1293_0) = all_2363_2 & $i(all_2363_4) & ( ~ (all_2363_0
% 238.61/48.45 | | | | = 0) | ~ (all_2363_1 = 0) | ~ (all_2363_2 = 0) | ~
% 238.61/48.45 | | | | (all_2363_3 = 0) | ~ (all_2363_5 = 0))
% 238.61/48.45 | | | |
% 238.61/48.45 | | | | ALPHA: (3499) implies:
% 238.61/48.45 | | | | (3500) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2363_4,
% 238.61/48.45 | | | | all_1168_0) = all_2363_1
% 238.61/48.45 | | | | (3501) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2363_4
% 238.61/48.45 | | | |
% 238.61/48.45 | | | | GROUND_INST: instantiating (275) with all_2178_2, all_2270_3,
% 238.61/48.45 | | | | all_1168_0, all_892_0, tc_RealDef_Oreal, simplifying with
% 238.61/48.45 | | | | (3343), (3415) gives:
% 238.61/48.45 | | | | (3502) all_2270_3 = all_2178_2
% 238.61/48.45 | | | |
% 238.61/48.45 | | | | GROUND_INST: instantiating (275) with 0, all_2270_2, all_1293_0,
% 238.61/48.45 | | | | all_892_0, tc_RealDef_Oreal, simplifying with (2342),
% 238.61/48.45 | | | | (3416) gives:
% 238.61/48.45 | | | | (3503) all_2270_2 = 0
% 238.61/48.45 | | | |
% 238.61/48.45 | | | | GROUND_INST: instantiating (275) with all_2178_0, all_2270_1, all_892_0,
% 238.61/48.45 | | | | all_1168_0, tc_RealDef_Oreal, simplifying with (3344),
% 238.61/48.45 | | | | (3417) gives:
% 238.61/48.45 | | | | (3504) all_2270_1 = all_2178_0
% 238.61/48.45 | | | |
% 238.61/48.45 | | | | GROUND_INST: instantiating (275) with all_2178_1, all_2270_0, all_892_0,
% 238.61/48.45 | | | | all_1293_0, tc_RealDef_Oreal, simplifying with (3345),
% 238.61/48.45 | | | | (3418) gives:
% 238.61/48.45 | | | | (3505) all_2270_0 = all_2178_1
% 238.61/48.45 | | | |
% 238.61/48.45 | | | | GROUND_INST: instantiating (277) with all_1552_0, all_1862_0,
% 238.61/48.45 | | | | all_1168_0, all_1293_0, tc_RealDef_Oreal, simplifying with
% 238.61/48.45 | | | | (2910), (3174) gives:
% 238.61/48.45 | | | | (3506) all_1862_0 = all_1552_0
% 238.61/48.45 | | | |
% 238.61/48.45 | | | | GROUND_INST: instantiating (260) with all_1942_1, all_1956_0,
% 238.61/48.45 | | | | tc_RealDef_Oreal, simplifying with (3191), (3200) gives:
% 238.61/48.45 | | | | (3507) all_1956_0 = all_1942_1
% 238.61/48.45 | | | |
% 238.61/48.45 | | | | GROUND_INST: instantiating (260) with all_1942_1, all_1982_0,
% 238.61/48.45 | | | | tc_RealDef_Oreal, simplifying with (3191), (3211) gives:
% 238.61/48.45 | | | | (3508) all_1982_0 = all_1942_1
% 238.61/48.45 | | | |
% 238.61/48.45 | | | | GROUND_INST: instantiating (260) with all_2006_2, all_2008_2,
% 238.61/48.45 | | | | tc_RealDef_Oreal, simplifying with (3221), (3223) gives:
% 238.61/48.45 | | | | (3509) all_2008_2 = all_2006_2
% 238.61/48.45 | | | |
% 238.61/48.45 | | | | GROUND_INST: instantiating (260) with all_2008_2, all_2028_2,
% 238.61/48.45 | | | | tc_RealDef_Oreal, simplifying with (3223), (3234) gives:
% 238.61/48.45 | | | | (3510) all_2028_2 = all_2008_2
% 238.61/48.45 | | | |
% 238.61/48.45 | | | | GROUND_INST: instantiating (260) with all_2042_0, all_2052_2,
% 238.61/48.45 | | | | tc_RealDef_Oreal, simplifying with (3236), (3241) gives:
% 238.61/48.45 | | | | (3511) all_2052_2 = all_2042_0
% 238.61/48.45 | | | |
% 238.61/48.45 | | | | GROUND_INST: instantiating (260) with all_2028_2, all_2070_1,
% 238.61/48.45 | | | | tc_RealDef_Oreal, simplifying with (3234), (3253) gives:
% 238.61/48.45 | | | | (3512) all_2070_1 = all_2028_2
% 238.61/48.45 | | | |
% 238.61/48.45 | | | | GROUND_INST: instantiating (260) with all_2070_1, all_2120_3,
% 238.61/48.45 | | | | tc_RealDef_Oreal, simplifying with (3253), (3293) gives:
% 238.61/48.45 | | | | (3513) all_2120_3 = all_2070_1
% 238.61/48.45 | | | |
% 238.61/48.45 | | | | GROUND_INST: instantiating (260) with all_1982_0, all_2122_3,
% 238.61/48.45 | | | | tc_RealDef_Oreal, simplifying with (3211), (3295) gives:
% 238.61/48.45 | | | | (3514) all_2122_3 = all_1982_0
% 238.61/48.45 | | | |
% 238.61/48.45 | | | | GROUND_INST: instantiating (260) with all_2116_3, all_2124_3,
% 238.61/48.45 | | | | tc_RealDef_Oreal, simplifying with (3291), (3297) gives:
% 238.61/48.45 | | | | (3515) all_2124_3 = all_2116_3
% 238.61/48.45 | | | |
% 238.61/48.45 | | | | GROUND_INST: instantiating (260) with all_2004_0, all_2124_3,
% 238.61/48.45 | | | | tc_RealDef_Oreal, simplifying with (3219), (3297) gives:
% 238.61/48.46 | | | | (3516) all_2124_3 = all_2004_0
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_1994_1, all_2124_3,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3217), (3297) gives:
% 238.61/48.46 | | | | (3517) all_2124_3 = all_1994_1
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_1982_0, all_2124_3,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3211), (3297) gives:
% 238.61/48.46 | | | | (3518) all_2124_3 = all_1982_0
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2120_3, all_2128_3,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3293), (3300) gives:
% 238.61/48.46 | | | | (3519) all_2128_3 = all_2120_3
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2122_3, all_2140_3,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3295), (3311) gives:
% 238.61/48.46 | | | | (3520) all_2140_3 = all_2122_3
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2120_3, all_2142_2,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3293), (3313) gives:
% 238.61/48.46 | | | | (3521) all_2142_2 = all_2120_3
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2110_0, all_2142_2,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3288), (3313) gives:
% 238.61/48.46 | | | | (3522) all_2142_2 = all_2110_0
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2138_3, all_2148_3,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3309), (3317) gives:
% 238.61/48.46 | | | | (3523) all_2148_3 = all_2138_3
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2148_3, all_2156_2,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3317), (3322) gives:
% 238.61/48.46 | | | | (3524) all_2156_2 = all_2148_3
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2006_2, all_2160_1,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3221), (3325) gives:
% 238.61/48.46 | | | | (3525) all_2160_1 = all_2006_2
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_1948_0, all_2160_1,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3198), (3325) gives:
% 238.61/48.46 | | | | (3526) all_2160_1 = all_1948_0
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_1944_1, all_2160_1,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3194), (3325) gives:
% 238.61/48.46 | | | | (3527) all_2160_1 = all_1944_1
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2130_3, all_2162_3,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3302), (3327) gives:
% 238.61/48.46 | | | | (3528) all_2162_3 = all_2130_3
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2060_1, all_2162_3,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3246), (3327) gives:
% 238.61/48.46 | | | | (3529) all_2162_3 = all_2060_1
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2042_0, all_2162_3,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3236), (3327) gives:
% 238.61/48.46 | | | | (3530) all_2162_3 = all_2042_0
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2020_2, all_2162_3,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3227), (3327) gives:
% 238.61/48.46 | | | | (3531) all_2162_3 = all_2020_2
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_1956_0, all_2162_3,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3200), (3327) gives:
% 238.61/48.46 | | | | (3532) all_2162_3 = all_1956_0
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2138_3, all_2166_3,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3309), (3330) gives:
% 238.61/48.46 | | | | (3533) all_2166_3 = all_2138_3
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2066_0, all_2168_3,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3251), (3332) gives:
% 238.61/48.46 | | | | (3534) all_2168_3 = all_2066_0
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2170_3, all_2172_3,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3335), (3337) gives:
% 238.61/48.46 | | | | (3535) all_2172_3 = all_2170_3
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_1994_1, all_2172_3,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3217), (3337) gives:
% 238.61/48.46 | | | | (3536) all_2172_3 = all_1994_1
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2172_3, all_2176_1,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3337), (3341) gives:
% 238.61/48.46 | | | | (3537) all_2176_1 = all_2172_3
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2130_3, all_2180_3,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3302), (3350) gives:
% 238.61/48.46 | | | | (3538) all_2180_3 = all_2130_3
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2180_3, all_2182_1,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3350), (3352) gives:
% 238.61/48.46 | | | | (3539) all_2182_1 = all_2180_3
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2176_1, all_2184_2,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3341), (3354) gives:
% 238.61/48.46 | | | | (3540) all_2184_2 = all_2176_1
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2116_3, all_2188_1,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3291), (3356) gives:
% 238.61/48.46 | | | | (3541) all_2188_1 = all_2116_3
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2166_3, all_2190_1,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3330), (3358) gives:
% 238.61/48.46 | | | | (3542) all_2190_1 = all_2166_3
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2134_0, all_2190_1,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3304), (3358) gives:
% 238.61/48.46 | | | | (3543) all_2190_1 = all_2134_0
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_892_0, all_2192_1,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (283), (3360) gives:
% 238.61/48.46 | | | | (3544) all_2192_1 = all_892_0
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2182_1, all_2192_1,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3352), (3360) gives:
% 238.61/48.46 | | | | (3545) all_2192_1 = all_2182_1
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2184_2, all_2194_1,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3354), (3362) gives:
% 238.61/48.46 | | | | (3546) all_2194_1 = all_2184_2
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2168_3, all_2210_3,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3332), (3372) gives:
% 238.61/48.46 | | | | (3547) all_2210_3 = all_2168_3
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2166_3, all_2210_3,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3330), (3372) gives:
% 238.61/48.46 | | | | (3548) all_2210_3 = all_2166_3
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2154_2, all_2210_3,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3319), (3372) gives:
% 238.61/48.46 | | | | (3549) all_2210_3 = all_2154_2
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2052_2, all_2210_3,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3241), (3372) gives:
% 238.61/48.46 | | | | (3550) all_2210_3 = all_2052_2
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2210_3, all_2212_3,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3372), (3374) gives:
% 238.61/48.46 | | | | (3551) all_2212_3 = all_2210_3
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2136_2, all_2212_3,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3306), (3374) gives:
% 238.61/48.46 | | | | (3552) all_2212_3 = all_2136_2
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2140_3, all_2214_3,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3311), (3377) gives:
% 238.61/48.46 | | | | (3553) all_2214_3 = all_2140_3
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2194_1, all_2220_2,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3362), (3379) gives:
% 238.61/48.46 | | | | (3554) all_2220_2 = all_2194_1
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2220_2, all_2222_2,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3379), (3382) gives:
% 238.61/48.46 | | | | (3555) all_2222_2 = all_2220_2
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2222_2, all_2226_2,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3382), (3385) gives:
% 238.61/48.46 | | | | (3556) all_2226_2 = all_2222_2
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2226_2, all_2228_2,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3385), (3388) gives:
% 238.61/48.46 | | | | (3557) all_2228_2 = all_2226_2
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2172_3, all_2232_2,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3337), (3391) gives:
% 238.61/48.46 | | | | (3558) all_2232_2 = all_2172_3
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2228_2, all_2236_2,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3388), (3397) gives:
% 238.61/48.46 | | | | (3559) all_2236_2 = all_2228_2
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2208_3, all_2238_2,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3369), (3400) gives:
% 238.61/48.46 | | | | (3560) all_2238_2 = all_2208_3
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2238_2, all_2240_2,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3400), (3403) gives:
% 238.61/48.46 | | | | (3561) all_2240_2 = all_2238_2
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2128_3, all_2242_2,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3300), (3406) gives:
% 238.61/48.46 | | | | (3562) all_2242_2 = all_2128_3
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2208_3, all_2244_2,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3369), (3409) gives:
% 238.61/48.46 | | | | (3563) all_2244_2 = all_2208_3
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2204_3, all_2244_2,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3364), (3409) gives:
% 238.61/48.46 | | | | (3564) all_2244_2 = all_2204_3
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2204_3, all_2246_2,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3364), (3412) gives:
% 238.61/48.46 | | | | (3565) all_2246_2 = all_2204_3
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2174_3, all_2246_2,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3339), (3412) gives:
% 238.61/48.46 | | | | (3566) all_2246_2 = all_2174_3
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2156_2, all_2246_2,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3322), (3412) gives:
% 238.61/48.46 | | | | (3567) all_2246_2 = all_2156_2
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2214_3, all_2272_6,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3377), (3423) gives:
% 238.61/48.46 | | | | (3568) all_2272_6 = all_2214_3
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2242_2, all_2274_6,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3406), (3427) gives:
% 238.61/48.46 | | | | (3569) all_2274_6 = all_2242_2
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2274_6, all_2276_6,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3427), (3430) gives:
% 238.61/48.46 | | | | (3570) all_2276_6 = all_2274_6
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2234_2, all_2278_6,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3394), (3434) gives:
% 238.61/48.46 | | | | (3571) all_2278_6 = all_2234_2
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2232_2, all_2278_6,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3391), (3434) gives:
% 238.61/48.46 | | | | (3572) all_2278_6 = all_2232_2
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2026_0, all_2278_6,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3232), (3434) gives:
% 238.61/48.46 | | | | (3573) all_2278_6 = all_2026_0
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2240_2, all_2280_6,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3403), (3438) gives:
% 238.61/48.46 | | | | (3574) all_2280_6 = all_2240_2
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2280_6, all_2282_6,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3438), (3442) gives:
% 238.61/48.46 | | | | (3575) all_2282_6 = all_2280_6
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2236_2, all_2288_6,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3397), (3455) gives:
% 238.61/48.46 | | | | (3576) all_2288_6 = all_2236_2
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_1974_0, all_2288_6,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3209), (3455) gives:
% 238.61/48.46 | | | | (3577) all_2288_6 = all_1974_0
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_1988_0, all_2290_6,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3213), (3462) gives:
% 238.61/48.46 | | | | (3578) all_2290_6 = all_1988_0
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2276_6, all_2292_6,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3430), (3467) gives:
% 238.61/48.46 | | | | (3579) all_2292_6 = all_2276_6
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2286_6, all_2294_6,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3449), (3472) gives:
% 238.61/48.46 | | | | (3580) all_2294_6 = all_2286_6
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2244_2, all_2294_6,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3409), (3472) gives:
% 238.61/48.46 | | | | (3581) all_2294_6 = all_2244_2
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2206_3, all_2294_6,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3366), (3472) gives:
% 238.61/48.46 | | | | (3582) all_2294_6 = all_2206_3
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2188_1, all_2296_6,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3356), (3475) gives:
% 238.61/48.46 | | | | (3583) all_2296_6 = all_2188_1
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_1992_0, all_2296_6,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3215), (3475) gives:
% 238.61/48.46 | | | | (3584) all_2296_6 = all_1992_0
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_2272_6, all_2298_6,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3423), (3480) gives:
% 238.61/48.46 | | | | (3585) all_2298_6 = all_2272_6
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_1882_0, all_2298_6,
% 238.61/48.46 | | | | tc_RealDef_Oreal, simplifying with (3182), (3480) gives:
% 238.61/48.46 | | | | (3586) all_2298_6 = all_1882_0
% 238.61/48.46 | | | |
% 238.61/48.46 | | | | GROUND_INST: instantiating (260) with all_1982_0, all_2327_4,
% 238.61/48.47 | | | | tc_RealDef_Oreal, simplifying with (3211), (3490) gives:
% 238.61/48.47 | | | | (3587) all_2327_4 = all_1982_0
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (260) with all_1944_1, all_2327_4,
% 238.61/48.47 | | | | tc_RealDef_Oreal, simplifying with (3194), (3490) gives:
% 238.61/48.47 | | | | (3588) all_2327_4 = all_1944_1
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (260) with all_1930_2, all_2327_4,
% 238.61/48.47 | | | | tc_RealDef_Oreal, simplifying with (3186), (3490) gives:
% 238.61/48.47 | | | | (3589) all_2327_4 = all_1930_2
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (260) with all_2290_6, all_2353_3,
% 238.61/48.47 | | | | tc_RealDef_Oreal, simplifying with (3462), (3495) gives:
% 238.61/48.47 | | | | (3590) all_2353_3 = all_2290_6
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (260) with all_2284_6, all_2353_3,
% 238.61/48.47 | | | | tc_RealDef_Oreal, simplifying with (3445), (3495) gives:
% 238.61/48.47 | | | | (3591) all_2353_3 = all_2284_6
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (260) with all_2282_6, all_2353_3,
% 238.61/48.47 | | | | tc_RealDef_Oreal, simplifying with (3442), (3495) gives:
% 238.61/48.47 | | | | (3592) all_2353_3 = all_2282_6
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (260) with all_2292_6, all_2363_4,
% 238.61/48.47 | | | | tc_RealDef_Oreal, simplifying with (3467), (3501) gives:
% 238.61/48.47 | | | | (3593) all_2363_4 = all_2292_6
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (260) with all_1878_0, all_2363_4,
% 238.61/48.47 | | | | tc_RealDef_Oreal, simplifying with (3180), (3501) gives:
% 238.61/48.47 | | | | (3594) all_2363_4 = all_1878_0
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (260) with all_1274_4, all_1936_0,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (620), (3188) gives:
% 238.61/48.47 | | | | (3595) all_1936_0 = all_1274_4
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (260) with all_2024_0, all_2048_0,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3229), (3238) gives:
% 238.61/48.47 | | | | (3596) all_2048_0 = all_2024_0
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (260) with all_2024_0, all_2064_0,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3229), (3248) gives:
% 238.61/48.47 | | | | (3597) all_2064_0 = all_2024_0
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (260) with all_1964_0, all_2064_0,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3205), (3248) gives:
% 238.61/48.47 | | | | (3598) all_2064_0 = all_1964_0
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (260) with all_2048_0, all_2074_0,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3238), (3255) gives:
% 238.61/48.47 | | | | (3599) all_2074_0 = all_2048_0
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (260) with all_2074_0, all_2080_0,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3255), (3258) gives:
% 238.61/48.47 | | | | (3600) all_2080_0 = all_2074_0
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (260) with all_2080_0, all_2082_0,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3258), (3261) gives:
% 238.61/48.47 | | | | (3601) all_2082_0 = all_2080_0
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (260) with all_1964_0, all_2092_0,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3205), (3273) gives:
% 238.61/48.47 | | | | (3602) all_2092_0 = all_1964_0
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (260) with all_1962_0, all_2092_0,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3202), (3273) gives:
% 238.61/48.47 | | | | (3603) all_2092_0 = all_1962_0
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (260) with all_1936_0, all_2092_0,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3188), (3273) gives:
% 238.61/48.47 | | | | (3604) all_2092_0 = all_1936_0
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (260) with all_2082_0, all_2096_0,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3261), (3279) gives:
% 238.61/48.47 | | | | (3605) all_2096_0 = all_2082_0
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (260) with all_1810_1, all_2096_0,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3158), (3279) gives:
% 238.61/48.47 | | | | (3606) all_2096_0 = all_1810_1
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (260) with all_2064_0, all_2098_0,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3248), (3282) gives:
% 238.61/48.47 | | | | (3607) all_2098_0 = all_2064_0
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (260) with all_2012_0, all_2098_0,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3225), (3282) gives:
% 238.61/48.47 | | | | (3608) all_2098_0 = all_2012_0
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (260) with all_2096_0, all_2100_0,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3279), (3285) gives:
% 238.61/48.47 | | | | (3609) all_2100_0 = all_2096_0
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (260) with all_2086_0, all_2100_0,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3266), (3285) gives:
% 238.61/48.47 | | | | (3610) all_2100_0 = all_2086_0
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (273) with all_1629_2, all_1942_0,
% 238.61/48.47 | | | | all_1151_0, tc_RealDef_Oreal, simplifying with (2795),
% 238.61/48.47 | | | | (3192) gives:
% 238.61/48.47 | | | | (3611) all_1942_0 = all_1629_2
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (273) with all_1830_0, all_1942_0,
% 238.61/48.47 | | | | all_1151_0, tc_RealDef_Oreal, simplifying with (3164),
% 238.61/48.47 | | | | (3192) gives:
% 238.61/48.47 | | | | (3612) all_1942_0 = all_1830_0
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (273) with all_1820_0, all_1942_0,
% 238.61/48.47 | | | | all_1151_0, tc_RealDef_Oreal, simplifying with (3162),
% 238.61/48.47 | | | | (3192) gives:
% 238.61/48.47 | | | | (3613) all_1942_0 = all_1820_0
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with 0, all_1766_1,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (250), (3132) gives:
% 238.61/48.47 | | | | (3614) all_1766_1 = 0
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_1766_1, all_1768_1,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3132), (3134) gives:
% 238.61/48.47 | | | | (3615) all_1768_1 = all_1766_1
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_1766_1, all_1776_1,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3132), (3139) gives:
% 238.61/48.47 | | | | (3616) all_1776_1 = all_1766_1
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_1776_1, all_1780_1,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3139), (3142) gives:
% 238.61/48.47 | | | | (3617) all_1780_1 = all_1776_1
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_1780_1, all_1782_1,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3142), (3144) gives:
% 238.61/48.47 | | | | (3618) all_1782_1 = all_1780_1
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_1776_1, all_1784_1,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3139), (3146) gives:
% 238.61/48.47 | | | | (3619) all_1784_1 = all_1776_1
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_1784_1, all_1786_1,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3146), (3148) gives:
% 238.61/48.47 | | | | (3620) all_1786_1 = all_1784_1
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_1786_1, all_1790_1,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3148), (3152) gives:
% 238.61/48.47 | | | | (3621) all_1790_1 = all_1786_1
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_1790_1, all_1818_1,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3152), (3160) gives:
% 238.61/48.47 | | | | (3622) all_1818_1 = all_1790_1
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_1788_1, all_1844_1,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3150), (3168) gives:
% 238.61/48.47 | | | | (3623) all_1844_1 = all_1788_1
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_1768_1, all_1844_1,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3134), (3168) gives:
% 238.61/48.47 | | | | (3624) all_1844_1 = all_1768_1
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_1818_1, all_1860_1,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3160), (3172) gives:
% 238.61/48.47 | | | | (3625) all_1860_1 = all_1818_1
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_1802_1, all_1860_1,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3156), (3172) gives:
% 238.61/48.47 | | | | (3626) all_1860_1 = all_1802_1
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_1782_1, all_1866_1,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3144), (3178) gives:
% 238.61/48.47 | | | | (3627) all_1866_1 = all_1782_1
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_1818_1, all_1914_2,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3160), (3184) gives:
% 238.61/48.47 | | | | (3628) all_1914_2 = all_1818_1
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_1914_2, all_1936_1,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3184), (3189) gives:
% 238.61/48.47 | | | | (3629) all_1936_1 = all_1914_2
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_1936_1, all_1962_1,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3189), (3203) gives:
% 238.61/48.47 | | | | (3630) all_1962_1 = all_1936_1
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_1962_1, all_1964_1,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3203), (3206) gives:
% 238.61/48.47 | | | | (3631) all_1964_1 = all_1962_1
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_1964_1, all_2024_1,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3206), (3230) gives:
% 238.61/48.47 | | | | (3632) all_2024_1 = all_1964_1
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_1866_1, all_2048_1,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3178), (3239) gives:
% 238.61/48.47 | | | | (3633) all_2048_1 = all_1866_1
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_2024_1, all_2064_1,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3230), (3249) gives:
% 238.61/48.47 | | | | (3634) all_2064_1 = all_2024_1
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_1844_1, all_2080_2,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3168), (3259) gives:
% 238.61/48.47 | | | | (3635) all_2080_2 = all_1844_1
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_1758_1, all_2082_2,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3128), (3262) gives:
% 238.61/48.47 | | | | (3636) all_2082_2 = all_1758_1
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_1792_1, all_2088_2,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3154), (3269) gives:
% 238.61/48.47 | | | | (3637) all_2088_2 = all_1792_1
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_2088_2, all_2090_2,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3269), (3271) gives:
% 238.61/48.47 | | | | (3638) all_2090_2 = all_2088_2
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_2086_2, all_2090_2,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3267), (3271) gives:
% 238.61/48.47 | | | | (3639) all_2090_2 = all_2086_2
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_2064_1, all_2090_2,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3249), (3271) gives:
% 238.61/48.47 | | | | (3640) all_2090_2 = all_2064_1
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_1860_1, all_2092_2,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3172), (3274) gives:
% 238.61/48.47 | | | | (3641) all_2092_2 = all_1860_1
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_1772_1, all_2092_2,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3136), (3274) gives:
% 238.61/48.47 | | | | (3642) all_2092_2 = all_1772_1
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_2080_2, all_2096_2,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3259), (3280) gives:
% 238.61/48.47 | | | | (3643) all_2096_2 = all_2080_2
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_1760_1, all_2096_2,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3130), (3280) gives:
% 238.61/48.47 | | | | (3644) all_2096_2 = all_1760_1
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_2094_2, all_2098_2,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3276), (3283) gives:
% 238.61/48.47 | | | | (3645) all_2098_2 = all_2094_2
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_2084_2, all_2098_2,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3264), (3283) gives:
% 238.61/48.47 | | | | (3646) all_2098_2 = all_2084_2
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_2082_2, all_2098_2,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3262), (3283) gives:
% 238.61/48.47 | | | | (3647) all_2098_2 = all_2082_2
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_2048_1, all_2098_2,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3239), (3283) gives:
% 238.61/48.47 | | | | (3648) all_2098_2 = all_2048_1
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_2098_2, all_2100_2,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3283), (3286) gives:
% 238.61/48.47 | | | | (3649) all_2100_2 = all_2098_2
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (263) with all_2074_2, all_2100_2,
% 238.61/48.47 | | | | tc_Complex_Ocomplex, simplifying with (3256), (3286) gives:
% 238.61/48.47 | | | | (3650) all_2100_2 = all_2074_2
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (264) with 0, all_2298_7, tc_RealDef_Oreal,
% 238.61/48.47 | | | | simplifying with (249), (3481) gives:
% 238.61/48.47 | | | | (3651) all_2298_7 = 0
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (264) with all_2290_7, all_2298_7,
% 238.61/48.47 | | | | tc_RealDef_Oreal, simplifying with (3463), (3481) gives:
% 238.61/48.47 | | | | (3652) all_2298_7 = all_2290_7
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (264) with all_2288_7, all_2298_7,
% 238.61/48.47 | | | | tc_RealDef_Oreal, simplifying with (3456), (3481) gives:
% 238.61/48.47 | | | | (3653) all_2298_7 = all_2288_7
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (265) with all_2136_3, all_2156_3,
% 238.61/48.47 | | | | tc_RealDef_Oreal, simplifying with (3307), (3323) gives:
% 238.61/48.47 | | | | (3654) all_2156_3 = all_2136_3
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (265) with all_1830_1, all_2156_3,
% 238.61/48.47 | | | | tc_RealDef_Oreal, simplifying with (3165), (3323) gives:
% 238.61/48.47 | | | | (3655) all_2156_3 = all_1830_1
% 238.61/48.47 | | | |
% 238.61/48.47 | | | | GROUND_INST: instantiating (265) with all_2156_3, all_2220_3,
% 238.61/48.47 | | | | tc_RealDef_Oreal, simplifying with (3323), (3380) gives:
% 238.61/48.47 | | | | (3656) all_2220_3 = all_2156_3
% 238.61/48.47 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (265) with all_2142_3, all_2220_3,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3314), (3380) gives:
% 238.61/48.48 | | | | (3657) all_2220_3 = all_2142_3
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (265) with 0, all_2222_3, tc_RealDef_Oreal,
% 238.61/48.48 | | | | simplifying with (248), (3383) gives:
% 238.61/48.48 | | | | (3658) all_2222_3 = 0
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (265) with all_2232_3, all_2234_3,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3392), (3395) gives:
% 238.61/48.48 | | | | (3659) all_2234_3 = all_2232_3
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (265) with all_2234_3, all_2236_3,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3395), (3398) gives:
% 238.61/48.48 | | | | (3660) all_2236_3 = all_2234_3
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (265) with all_2228_3, all_2238_3,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3389), (3401) gives:
% 238.61/48.48 | | | | (3661) all_2238_3 = all_2228_3
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (265) with all_2222_3, all_2238_3,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3383), (3401) gives:
% 238.61/48.48 | | | | (3662) all_2238_3 = all_2222_3
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (265) with all_2136_3, all_2238_3,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3307), (3401) gives:
% 238.61/48.48 | | | | (3663) all_2238_3 = all_2136_3
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (265) with all_2232_3, all_2240_3,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3392), (3404) gives:
% 238.61/48.48 | | | | (3664) all_2240_3 = all_2232_3
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (265) with all_2222_3, all_2240_3,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3383), (3404) gives:
% 238.61/48.48 | | | | (3665) all_2240_3 = all_2222_3
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (265) with all_2240_3, all_2242_3,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3404), (3407) gives:
% 238.61/48.48 | | | | (3666) all_2242_3 = all_2240_3
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (265) with all_2226_3, all_2242_3,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3386), (3407) gives:
% 238.61/48.48 | | | | (3667) all_2242_3 = all_2226_3
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (265) with all_2238_3, all_2244_3,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3401), (3410) gives:
% 238.61/48.48 | | | | (3668) all_2244_3 = all_2238_3
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (265) with all_1848_1, all_2244_3,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3170), (3410) gives:
% 238.61/48.48 | | | | (3669) all_2244_3 = all_1848_1
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (265) with all_2236_3, all_2246_3,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3398), (3413) gives:
% 238.61/48.48 | | | | (3670) all_2246_3 = all_2236_3
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (265) with all_2154_3, all_2246_3,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3320), (3413) gives:
% 238.61/48.48 | | | | (3671) all_2246_3 = all_2154_3
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (266) with 0, all_2054_1, tc_RealDef_Oreal,
% 238.61/48.48 | | | | simplifying with (246), (3244) gives:
% 238.61/48.48 | | | | (3672) all_2054_1 = 0
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (266) with all_1946_1, all_2054_1,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3196), (3244) gives:
% 238.61/48.48 | | | | (3673) all_2054_1 = all_1946_1
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (266) with all_1862_1, all_2054_1,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3175), (3244) gives:
% 238.61/48.48 | | | | (3674) all_2054_1 = all_1862_1
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (267) with all_2178_4, all_2272_7,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3346), (3424) gives:
% 238.61/48.48 | | | | (3675) all_2272_7 = all_2178_4
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (267) with all_2272_7, all_2276_7,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3424), (3431) gives:
% 238.61/48.48 | | | | (3676) all_2276_7 = all_2272_7
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (267) with 0, all_2282_7, tc_RealDef_Oreal,
% 238.61/48.48 | | | | simplifying with (245), (3443) gives:
% 238.61/48.48 | | | | (3677) all_2282_7 = 0
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (267) with all_2270_4, all_2282_7,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3419), (3443) gives:
% 238.61/48.48 | | | | (3678) all_2282_7 = all_2270_4
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (267) with all_2178_4, all_2282_7,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3346), (3443) gives:
% 238.61/48.48 | | | | (3679) all_2282_7 = all_2178_4
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (267) with all_2276_7, all_2284_7,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3431), (3446) gives:
% 238.61/48.48 | | | | (3680) all_2284_7 = all_2276_7
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (267) with all_2284_7, all_2286_7,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3446), (3450) gives:
% 238.61/48.48 | | | | (3681) all_2286_7 = all_2284_7
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (267) with all_2280_7, all_2288_8,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3439), (3457) gives:
% 238.61/48.48 | | | | (3682) all_2288_8 = all_2280_7
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (267) with all_2276_7, all_2288_8,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3431), (3457) gives:
% 238.61/48.48 | | | | (3683) all_2288_8 = all_2276_7
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (267) with all_2286_7, all_2290_8,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3450), (3464) gives:
% 238.61/48.48 | | | | (3684) all_2290_8 = all_2286_7
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (267) with all_2274_7, all_2290_8,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3428), (3464) gives:
% 238.61/48.48 | | | | (3685) all_2290_8 = all_2274_7
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (267) with all_2052_3, all_2294_7,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3242), (3473) gives:
% 238.61/48.48 | | | | (3686) all_2294_7 = all_2052_3
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (267) with all_2294_7, all_2296_7,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3473), (3476) gives:
% 238.61/48.48 | | | | (3687) all_2296_7 = all_2294_7
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (267) with all_2292_7, all_2296_7,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3468), (3476) gives:
% 238.61/48.48 | | | | (3688) all_2296_7 = all_2292_7
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (267) with all_2280_7, all_2296_7,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3439), (3476) gives:
% 238.61/48.48 | | | | (3689) all_2296_7 = all_2280_7
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (267) with all_2288_8, all_2298_8,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3457), (3482) gives:
% 238.61/48.48 | | | | (3690) all_2298_8 = all_2288_8
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | GROUND_INST: instantiating (267) with all_2278_7, all_2298_8,
% 238.61/48.48 | | | | tc_RealDef_Oreal, simplifying with (3435), (3482) gives:
% 238.61/48.48 | | | | (3691) all_2298_8 = all_2278_7
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3593), (3594) imply:
% 238.61/48.48 | | | | (3692) all_2292_6 = all_1878_0
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | SIMP: (3692) implies:
% 238.61/48.48 | | | | (3693) all_2292_6 = all_1878_0
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3590), (3591) imply:
% 238.61/48.48 | | | | (3694) all_2290_6 = all_2284_6
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | SIMP: (3694) implies:
% 238.61/48.48 | | | | (3695) all_2290_6 = all_2284_6
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3591), (3592) imply:
% 238.61/48.48 | | | | (3696) all_2284_6 = all_2282_6
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3587), (3589) imply:
% 238.61/48.48 | | | | (3697) all_1982_0 = all_1930_2
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | SIMP: (3697) implies:
% 238.61/48.48 | | | | (3698) all_1982_0 = all_1930_2
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3588), (3589) imply:
% 238.61/48.48 | | | | (3699) all_1944_1 = all_1930_2
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | SIMP: (3699) implies:
% 238.61/48.48 | | | | (3700) all_1944_1 = all_1930_2
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3585), (3586) imply:
% 238.61/48.48 | | | | (3701) all_2272_6 = all_1882_0
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | SIMP: (3701) implies:
% 238.61/48.48 | | | | (3702) all_2272_6 = all_1882_0
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3652), (3653) imply:
% 238.61/48.48 | | | | (3703) all_2290_7 = all_2288_7
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3651), (3652) imply:
% 238.61/48.48 | | | | (3704) all_2290_7 = 0
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3690), (3691) imply:
% 238.61/48.48 | | | | (3705) all_2288_8 = all_2278_7
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | SIMP: (3705) implies:
% 238.61/48.48 | | | | (3706) all_2288_8 = all_2278_7
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3583), (3584) imply:
% 238.61/48.48 | | | | (3707) all_2188_1 = all_1992_0
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | SIMP: (3707) implies:
% 238.61/48.48 | | | | (3708) all_2188_1 = all_1992_0
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3687), (3688) imply:
% 238.61/48.48 | | | | (3709) all_2294_7 = all_2292_7
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | SIMP: (3709) implies:
% 238.61/48.48 | | | | (3710) all_2294_7 = all_2292_7
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3688), (3689) imply:
% 238.61/48.48 | | | | (3711) all_2292_7 = all_2280_7
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3580), (3581) imply:
% 238.61/48.48 | | | | (3712) all_2286_6 = all_2244_2
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3580), (3582) imply:
% 238.61/48.48 | | | | (3713) all_2286_6 = all_2206_3
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3686), (3710) imply:
% 238.61/48.48 | | | | (3714) all_2292_7 = all_2052_3
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | SIMP: (3714) implies:
% 238.61/48.48 | | | | (3715) all_2292_7 = all_2052_3
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3579), (3693) imply:
% 238.61/48.48 | | | | (3716) all_2276_6 = all_1878_0
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | SIMP: (3716) implies:
% 238.61/48.48 | | | | (3717) all_2276_6 = all_1878_0
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3711), (3715) imply:
% 238.61/48.48 | | | | (3718) all_2280_7 = all_2052_3
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | SIMP: (3718) implies:
% 238.61/48.48 | | | | (3719) all_2280_7 = all_2052_3
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3578), (3695) imply:
% 238.61/48.48 | | | | (3720) all_2284_6 = all_1988_0
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | SIMP: (3720) implies:
% 238.61/48.48 | | | | (3721) all_2284_6 = all_1988_0
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3703), (3704) imply:
% 238.61/48.48 | | | | (3722) all_2288_7 = 0
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3684), (3685) imply:
% 238.61/48.48 | | | | (3723) all_2286_7 = all_2274_7
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | SIMP: (3723) implies:
% 238.61/48.48 | | | | (3724) all_2286_7 = all_2274_7
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3576), (3577) imply:
% 238.61/48.48 | | | | (3725) all_2236_2 = all_1974_0
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | SIMP: (3725) implies:
% 238.61/48.48 | | | | (3726) all_2236_2 = all_1974_0
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3682), (3706) imply:
% 238.61/48.48 | | | | (3727) all_2280_7 = all_2278_7
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | SIMP: (3727) implies:
% 238.61/48.48 | | | | (3728) all_2280_7 = all_2278_7
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3683), (3706) imply:
% 238.61/48.48 | | | | (3729) all_2278_7 = all_2276_7
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3712), (3713) imply:
% 238.61/48.48 | | | | (3730) all_2244_2 = all_2206_3
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | SIMP: (3730) implies:
% 238.61/48.48 | | | | (3731) all_2244_2 = all_2206_3
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3681), (3724) imply:
% 238.61/48.48 | | | | (3732) all_2284_7 = all_2274_7
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | SIMP: (3732) implies:
% 238.61/48.48 | | | | (3733) all_2284_7 = all_2274_7
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3696), (3721) imply:
% 238.61/48.48 | | | | (3734) all_2282_6 = all_1988_0
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | SIMP: (3734) implies:
% 238.61/48.48 | | | | (3735) all_2282_6 = all_1988_0
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3680), (3733) imply:
% 238.61/48.48 | | | | (3736) all_2276_7 = all_2274_7
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | SIMP: (3736) implies:
% 238.61/48.48 | | | | (3737) all_2276_7 = all_2274_7
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3575), (3735) imply:
% 238.61/48.48 | | | | (3738) all_2280_6 = all_1988_0
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | SIMP: (3738) implies:
% 238.61/48.48 | | | | (3739) all_2280_6 = all_1988_0
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3678), (3679) imply:
% 238.61/48.48 | | | | (3740) all_2270_4 = all_2178_4
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3677), (3678) imply:
% 238.61/48.48 | | | | (3741) all_2270_4 = 0
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3574), (3739) imply:
% 238.61/48.48 | | | | (3742) all_2240_2 = all_1988_0
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | SIMP: (3742) implies:
% 238.61/48.48 | | | | (3743) all_2240_2 = all_1988_0
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3719), (3728) imply:
% 238.61/48.48 | | | | (3744) all_2278_7 = all_2052_3
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | SIMP: (3744) implies:
% 238.61/48.48 | | | | (3745) all_2278_7 = all_2052_3
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3571), (3572) imply:
% 238.61/48.48 | | | | (3746) all_2234_2 = all_2232_2
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3571), (3573) imply:
% 238.61/48.48 | | | | (3747) all_2234_2 = all_2026_0
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3729), (3745) imply:
% 238.61/48.48 | | | | (3748) all_2276_7 = all_2052_3
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | SIMP: (3748) implies:
% 238.61/48.48 | | | | (3749) all_2276_7 = all_2052_3
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3570), (3717) imply:
% 238.61/48.48 | | | | (3750) all_2274_6 = all_1878_0
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | SIMP: (3750) implies:
% 238.61/48.48 | | | | (3751) all_2274_6 = all_1878_0
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3676), (3737) imply:
% 238.61/48.48 | | | | (3752) all_2274_7 = all_2272_7
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3737), (3749) imply:
% 238.61/48.48 | | | | (3753) all_2274_7 = all_2052_3
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3569), (3751) imply:
% 238.61/48.48 | | | | (3754) all_2242_2 = all_1878_0
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | SIMP: (3754) implies:
% 238.61/48.48 | | | | (3755) all_2242_2 = all_1878_0
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3752), (3753) imply:
% 238.61/48.48 | | | | (3756) all_2272_7 = all_2052_3
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | SIMP: (3756) implies:
% 238.61/48.48 | | | | (3757) all_2272_7 = all_2052_3
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | COMBINE_EQS: (3568), (3702) imply:
% 238.61/48.48 | | | | (3758) all_2214_3 = all_1882_0
% 238.61/48.48 | | | |
% 238.61/48.48 | | | | SIMP: (3758) implies:
% 238.61/48.49 | | | | (3759) all_2214_3 = all_1882_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3675), (3757) imply:
% 238.61/48.49 | | | | (3760) all_2178_4 = all_2052_3
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3760) implies:
% 238.61/48.49 | | | | (3761) all_2178_4 = all_2052_3
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3740), (3741) imply:
% 238.61/48.49 | | | | (3762) all_2178_4 = 0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3762) implies:
% 238.61/48.49 | | | | (3763) all_2178_4 = 0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3566), (3567) imply:
% 238.61/48.49 | | | | (3764) all_2174_3 = all_2156_2
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3565), (3566) imply:
% 238.61/48.49 | | | | (3765) all_2204_3 = all_2174_3
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3765) implies:
% 238.61/48.49 | | | | (3766) all_2204_3 = all_2174_3
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3670), (3671) imply:
% 238.61/48.49 | | | | (3767) all_2236_3 = all_2154_3
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3767) implies:
% 238.61/48.49 | | | | (3768) all_2236_3 = all_2154_3
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3564), (3731) imply:
% 238.61/48.49 | | | | (3769) all_2206_3 = all_2204_3
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3563), (3731) imply:
% 238.61/48.49 | | | | (3770) all_2208_3 = all_2206_3
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3770) implies:
% 238.61/48.49 | | | | (3771) all_2208_3 = all_2206_3
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3668), (3669) imply:
% 238.61/48.49 | | | | (3772) all_2238_3 = all_1848_1
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3772) implies:
% 238.61/48.49 | | | | (3773) all_2238_3 = all_1848_1
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3562), (3755) imply:
% 238.61/48.49 | | | | (3774) all_2128_3 = all_1878_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3774) implies:
% 238.61/48.49 | | | | (3775) all_2128_3 = all_1878_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3666), (3667) imply:
% 238.61/48.49 | | | | (3776) all_2240_3 = all_2226_3
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3776) implies:
% 238.61/48.49 | | | | (3777) all_2240_3 = all_2226_3
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3561), (3743) imply:
% 238.61/48.49 | | | | (3778) all_2238_2 = all_1988_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3778) implies:
% 238.61/48.49 | | | | (3779) all_2238_2 = all_1988_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3664), (3777) imply:
% 238.61/48.49 | | | | (3780) all_2232_3 = all_2226_3
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3780) implies:
% 238.61/48.49 | | | | (3781) all_2232_3 = all_2226_3
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3665), (3777) imply:
% 238.61/48.49 | | | | (3782) all_2226_3 = all_2222_3
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3560), (3779) imply:
% 238.61/48.49 | | | | (3783) all_2208_3 = all_1988_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3783) implies:
% 238.61/48.49 | | | | (3784) all_2208_3 = all_1988_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3661), (3663) imply:
% 238.61/48.49 | | | | (3785) all_2228_3 = all_2136_3
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3661), (3662) imply:
% 238.61/48.49 | | | | (3786) all_2228_3 = all_2222_3
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3661), (3773) imply:
% 238.61/48.49 | | | | (3787) all_2228_3 = all_1848_1
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3559), (3726) imply:
% 238.61/48.49 | | | | (3788) all_2228_2 = all_1974_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3788) implies:
% 238.61/48.49 | | | | (3789) all_2228_2 = all_1974_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3660), (3768) imply:
% 238.61/48.49 | | | | (3790) all_2234_3 = all_2154_3
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3790) implies:
% 238.61/48.49 | | | | (3791) all_2234_3 = all_2154_3
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3746), (3747) imply:
% 238.61/48.49 | | | | (3792) all_2232_2 = all_2026_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3792) implies:
% 238.61/48.49 | | | | (3793) all_2232_2 = all_2026_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3659), (3791) imply:
% 238.61/48.49 | | | | (3794) all_2232_3 = all_2154_3
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3794) implies:
% 238.61/48.49 | | | | (3795) all_2232_3 = all_2154_3
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3558), (3793) imply:
% 238.61/48.49 | | | | (3796) all_2172_3 = all_2026_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3796) implies:
% 238.61/48.49 | | | | (3797) all_2172_3 = all_2026_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3781), (3795) imply:
% 238.61/48.49 | | | | (3798) all_2226_3 = all_2154_3
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3798) implies:
% 238.61/48.49 | | | | (3799) all_2226_3 = all_2154_3
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3557), (3789) imply:
% 238.61/48.49 | | | | (3800) all_2226_2 = all_1974_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3800) implies:
% 238.61/48.49 | | | | (3801) all_2226_2 = all_1974_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3786), (3787) imply:
% 238.61/48.49 | | | | (3802) all_2222_3 = all_1848_1
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3802) implies:
% 238.61/48.49 | | | | (3803) all_2222_3 = all_1848_1
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3785), (3787) imply:
% 238.61/48.49 | | | | (3804) all_2136_3 = all_1848_1
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3804) implies:
% 238.61/48.49 | | | | (3805) all_2136_3 = all_1848_1
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3556), (3801) imply:
% 238.61/48.49 | | | | (3806) all_2222_2 = all_1974_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3806) implies:
% 238.61/48.49 | | | | (3807) all_2222_2 = all_1974_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3782), (3799) imply:
% 238.61/48.49 | | | | (3808) all_2222_3 = all_2154_3
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3808) implies:
% 238.61/48.49 | | | | (3809) all_2222_3 = all_2154_3
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3555), (3807) imply:
% 238.61/48.49 | | | | (3810) all_2220_2 = all_1974_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3810) implies:
% 238.61/48.49 | | | | (3811) all_2220_2 = all_1974_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3658), (3809) imply:
% 238.61/48.49 | | | | (3812) all_2154_3 = 0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3803), (3809) imply:
% 238.61/48.49 | | | | (3813) all_2154_3 = all_1848_1
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3554), (3811) imply:
% 238.61/48.49 | | | | (3814) all_2194_1 = all_1974_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3814) implies:
% 238.61/48.49 | | | | (3815) all_2194_1 = all_1974_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3656), (3657) imply:
% 238.61/48.49 | | | | (3816) all_2156_3 = all_2142_3
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3816) implies:
% 238.61/48.49 | | | | (3817) all_2156_3 = all_2142_3
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3553), (3759) imply:
% 238.61/48.49 | | | | (3818) all_2140_3 = all_1882_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3818) implies:
% 238.61/48.49 | | | | (3819) all_2140_3 = all_1882_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3551), (3552) imply:
% 238.61/48.49 | | | | (3820) all_2210_3 = all_2136_2
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3820) implies:
% 238.61/48.49 | | | | (3821) all_2210_3 = all_2136_2
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3549), (3550) imply:
% 238.61/48.49 | | | | (3822) all_2154_2 = all_2052_2
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3547), (3549) imply:
% 238.61/48.49 | | | | (3823) all_2168_3 = all_2154_2
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3823) implies:
% 238.61/48.49 | | | | (3824) all_2168_3 = all_2154_2
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3548), (3549) imply:
% 238.61/48.49 | | | | (3825) all_2166_3 = all_2154_2
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3825) implies:
% 238.61/48.49 | | | | (3826) all_2166_3 = all_2154_2
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3549), (3821) imply:
% 238.61/48.49 | | | | (3827) all_2154_2 = all_2136_2
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3771), (3784) imply:
% 238.61/48.49 | | | | (3828) all_2206_3 = all_1988_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3828) implies:
% 238.61/48.49 | | | | (3829) all_2206_3 = all_1988_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3769), (3829) imply:
% 238.61/48.49 | | | | (3830) all_2204_3 = all_1988_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3830) implies:
% 238.61/48.49 | | | | (3831) all_2204_3 = all_1988_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3766), (3831) imply:
% 238.61/48.49 | | | | (3832) all_2174_3 = all_1988_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3832) implies:
% 238.61/48.49 | | | | (3833) all_2174_3 = all_1988_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3546), (3815) imply:
% 238.61/48.49 | | | | (3834) all_2184_2 = all_1974_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3834) implies:
% 238.61/48.49 | | | | (3835) all_2184_2 = all_1974_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3544), (3545) imply:
% 238.61/48.49 | | | | (3836) all_2182_1 = all_892_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3836) implies:
% 238.61/48.49 | | | | (3837) all_2182_1 = all_892_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3542), (3543) imply:
% 238.61/48.49 | | | | (3838) all_2166_3 = all_2134_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3838) implies:
% 238.61/48.49 | | | | (3839) all_2166_3 = all_2134_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3541), (3708) imply:
% 238.61/48.49 | | | | (3840) all_2116_3 = all_1992_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3840) implies:
% 238.61/48.49 | | | | (3841) all_2116_3 = all_1992_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3540), (3835) imply:
% 238.61/48.49 | | | | (3842) all_2176_1 = all_1974_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3842) implies:
% 238.61/48.49 | | | | (3843) all_2176_1 = all_1974_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3539), (3837) imply:
% 238.61/48.49 | | | | (3844) all_2180_3 = all_892_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3844) implies:
% 238.61/48.49 | | | | (3845) all_2180_3 = all_892_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3538), (3845) imply:
% 238.61/48.49 | | | | (3846) all_2130_3 = all_892_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3846) implies:
% 238.61/48.49 | | | | (3847) all_2130_3 = all_892_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3761), (3763) imply:
% 238.61/48.49 | | | | (3848) all_2052_3 = 0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3848) implies:
% 238.61/48.49 | | | | (3849) all_2052_3 = 0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3537), (3843) imply:
% 238.61/48.49 | | | | (3850) all_2172_3 = all_1974_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3850) implies:
% 238.61/48.49 | | | | (3851) all_2172_3 = all_1974_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3764), (3833) imply:
% 238.61/48.49 | | | | (3852) all_2156_2 = all_1988_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3852) implies:
% 238.61/48.49 | | | | (3853) all_2156_2 = all_1988_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3535), (3536) imply:
% 238.61/48.49 | | | | (3854) all_2170_3 = all_1994_1
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3535), (3851) imply:
% 238.61/48.49 | | | | (3855) all_2170_3 = all_1974_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3535), (3797) imply:
% 238.61/48.49 | | | | (3856) all_2170_3 = all_2026_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3854), (3856) imply:
% 238.61/48.49 | | | | (3857) all_2026_0 = all_1994_1
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3855), (3856) imply:
% 238.61/48.49 | | | | (3858) all_2026_0 = all_1974_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3534), (3824) imply:
% 238.61/48.49 | | | | (3859) all_2154_2 = all_2066_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3859) implies:
% 238.61/48.49 | | | | (3860) all_2154_2 = all_2066_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3533), (3839) imply:
% 238.61/48.49 | | | | (3861) all_2138_3 = all_2134_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3861) implies:
% 238.61/48.49 | | | | (3862) all_2138_3 = all_2134_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3826), (3839) imply:
% 238.61/48.49 | | | | (3863) all_2154_2 = all_2134_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3863) implies:
% 238.61/48.49 | | | | (3864) all_2154_2 = all_2134_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3529), (3530) imply:
% 238.61/48.49 | | | | (3865) all_2060_1 = all_2042_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3529), (3532) imply:
% 238.61/48.49 | | | | (3866) all_2060_1 = all_1956_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3528), (3529) imply:
% 238.61/48.49 | | | | (3867) all_2130_3 = all_2060_1
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3867) implies:
% 238.61/48.49 | | | | (3868) all_2130_3 = all_2060_1
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3529), (3531) imply:
% 238.61/48.49 | | | | (3869) all_2060_1 = all_2020_2
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3525), (3526) imply:
% 238.61/48.49 | | | | (3870) all_2006_2 = all_1948_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3870) implies:
% 238.61/48.49 | | | | (3871) all_2006_2 = all_1948_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3526), (3527) imply:
% 238.61/48.49 | | | | (3872) all_1948_0 = all_1944_1
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3524), (3853) imply:
% 238.61/48.49 | | | | (3873) all_2148_3 = all_1988_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3873) implies:
% 238.61/48.49 | | | | (3874) all_2148_3 = all_1988_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3654), (3817) imply:
% 238.61/48.49 | | | | (3875) all_2142_3 = all_2136_3
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3655), (3817) imply:
% 238.61/48.49 | | | | (3876) all_2142_3 = all_1830_1
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3822), (3827) imply:
% 238.61/48.49 | | | | (3877) all_2136_2 = all_2052_2
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3827), (3864) imply:
% 238.61/48.49 | | | | (3878) all_2136_2 = all_2134_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3827), (3860) imply:
% 238.61/48.49 | | | | (3879) all_2136_2 = all_2066_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3812), (3813) imply:
% 238.61/48.49 | | | | (3880) all_1848_1 = 0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3880) implies:
% 238.61/48.49 | | | | (3881) all_1848_1 = 0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3523), (3874) imply:
% 238.61/48.49 | | | | (3882) all_2138_3 = all_1988_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3882) implies:
% 238.61/48.49 | | | | (3883) all_2138_3 = all_1988_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3521), (3522) imply:
% 238.61/48.49 | | | | (3884) all_2120_3 = all_2110_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3884) implies:
% 238.61/48.49 | | | | (3885) all_2120_3 = all_2110_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3875), (3876) imply:
% 238.61/48.49 | | | | (3886) all_2136_3 = all_1830_1
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3886) implies:
% 238.61/48.49 | | | | (3887) all_2136_3 = all_1830_1
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3520), (3819) imply:
% 238.61/48.49 | | | | (3888) all_2122_3 = all_1882_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3888) implies:
% 238.61/48.49 | | | | (3889) all_2122_3 = all_1882_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3862), (3883) imply:
% 238.61/48.49 | | | | (3890) all_2134_0 = all_1988_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | SIMP: (3890) implies:
% 238.61/48.49 | | | | (3891) all_2134_0 = all_1988_0
% 238.61/48.49 | | | |
% 238.61/48.49 | | | | COMBINE_EQS: (3877), (3879) imply:
% 238.61/48.49 | | | | (3892) all_2066_0 = all_2052_2
% 238.61/48.49 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3878), (3879) imply:
% 238.61/48.50 | | | | (3893) all_2134_0 = all_2066_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3893) implies:
% 238.61/48.50 | | | | (3894) all_2134_0 = all_2066_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3805), (3887) imply:
% 238.61/48.50 | | | | (3895) all_1848_1 = all_1830_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3895) implies:
% 238.61/48.50 | | | | (3896) all_1848_1 = all_1830_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3891), (3894) imply:
% 238.61/48.50 | | | | (3897) all_2066_0 = all_1988_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3897) implies:
% 238.61/48.50 | | | | (3898) all_2066_0 = all_1988_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3847), (3868) imply:
% 238.61/48.50 | | | | (3899) all_2060_1 = all_892_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3899) implies:
% 238.61/48.50 | | | | (3900) all_2060_1 = all_892_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3519), (3775) imply:
% 238.61/48.50 | | | | (3901) all_2120_3 = all_1878_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3901) implies:
% 238.61/48.50 | | | | (3902) all_2120_3 = all_1878_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3515), (3516) imply:
% 238.61/48.50 | | | | (3903) all_2116_3 = all_2004_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3903) implies:
% 238.61/48.50 | | | | (3904) all_2116_3 = all_2004_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3516), (3517) imply:
% 238.61/48.50 | | | | (3905) all_2004_0 = all_1994_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3516), (3518) imply:
% 238.61/48.50 | | | | (3906) all_2004_0 = all_1982_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3514), (3889) imply:
% 238.61/48.50 | | | | (3907) all_1982_0 = all_1882_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3907) implies:
% 238.61/48.50 | | | | (3908) all_1982_0 = all_1882_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3513), (3885) imply:
% 238.61/48.50 | | | | (3909) all_2110_0 = all_2070_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3885), (3902) imply:
% 238.61/48.50 | | | | (3910) all_2110_0 = all_1878_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3841), (3904) imply:
% 238.61/48.50 | | | | (3911) all_2004_0 = all_1992_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3911) implies:
% 238.61/48.50 | | | | (3912) all_2004_0 = all_1992_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3909), (3910) imply:
% 238.61/48.50 | | | | (3913) all_2070_1 = all_1878_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3913) implies:
% 238.61/48.50 | | | | (3914) all_2070_1 = all_1878_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3609), (3610) imply:
% 238.61/48.50 | | | | (3915) all_2096_0 = all_2086_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3915) implies:
% 238.61/48.50 | | | | (3916) all_2096_0 = all_2086_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3649), (3650) imply:
% 238.61/48.50 | | | | (3917) all_2098_2 = all_2074_2
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3917) implies:
% 238.61/48.50 | | | | (3918) all_2098_2 = all_2074_2
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3607), (3608) imply:
% 238.61/48.50 | | | | (3919) all_2064_0 = all_2012_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3919) implies:
% 238.61/48.50 | | | | (3920) all_2064_0 = all_2012_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3645), (3648) imply:
% 238.61/48.50 | | | | (3921) all_2094_2 = all_2048_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3645), (3918) imply:
% 238.61/48.50 | | | | (3922) all_2094_2 = all_2074_2
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3645), (3647) imply:
% 238.61/48.50 | | | | (3923) all_2094_2 = all_2082_2
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3645), (3646) imply:
% 238.61/48.50 | | | | (3924) all_2094_2 = all_2084_2
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3606), (3916) imply:
% 238.61/48.50 | | | | (3925) all_2086_0 = all_1810_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3605), (3916) imply:
% 238.61/48.50 | | | | (3926) all_2086_0 = all_2082_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3643), (3644) imply:
% 238.61/48.50 | | | | (3927) all_2080_2 = all_1760_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3927) implies:
% 238.61/48.50 | | | | (3928) all_2080_2 = all_1760_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3921), (3924) imply:
% 238.61/48.50 | | | | (3929) all_2084_2 = all_2048_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3922), (3924) imply:
% 238.61/48.50 | | | | (3930) all_2084_2 = all_2074_2
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3923), (3924) imply:
% 238.61/48.50 | | | | (3931) all_2084_2 = all_2082_2
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3602), (3603) imply:
% 238.61/48.50 | | | | (3932) all_1964_0 = all_1962_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3932) implies:
% 238.61/48.50 | | | | (3933) all_1964_0 = all_1962_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3603), (3604) imply:
% 238.61/48.50 | | | | (3934) all_1962_0 = all_1936_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3641), (3642) imply:
% 238.61/48.50 | | | | (3935) all_1860_1 = all_1772_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3935) implies:
% 238.61/48.50 | | | | (3936) all_1860_1 = all_1772_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3638), (3639) imply:
% 238.61/48.50 | | | | (3937) all_2088_2 = all_2086_2
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3937) implies:
% 238.61/48.50 | | | | (3938) all_2088_2 = all_2086_2
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3639), (3640) imply:
% 238.61/48.50 | | | | (3939) all_2086_2 = all_2064_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3637), (3938) imply:
% 238.61/48.50 | | | | (3940) all_2086_2 = all_1792_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3940) implies:
% 238.61/48.50 | | | | (3941) all_2086_2 = all_1792_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3925), (3926) imply:
% 238.61/48.50 | | | | (3942) all_2082_0 = all_1810_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3942) implies:
% 238.61/48.50 | | | | (3943) all_2082_0 = all_1810_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3939), (3941) imply:
% 238.61/48.50 | | | | (3944) all_2064_1 = all_1792_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3944) implies:
% 238.61/48.50 | | | | (3945) all_2064_1 = all_1792_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3929), (3930) imply:
% 238.61/48.50 | | | | (3946) all_2074_2 = all_2048_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3930), (3931) imply:
% 238.61/48.50 | | | | (3947) all_2082_2 = all_2074_2
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3947) implies:
% 238.61/48.50 | | | | (3948) all_2082_2 = all_2074_2
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3601), (3943) imply:
% 238.61/48.50 | | | | (3949) all_2080_0 = all_1810_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3949) implies:
% 238.61/48.50 | | | | (3950) all_2080_0 = all_1810_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3636), (3948) imply:
% 238.61/48.50 | | | | (3951) all_2074_2 = all_1758_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3951) implies:
% 238.61/48.50 | | | | (3952) all_2074_2 = all_1758_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3600), (3950) imply:
% 238.61/48.50 | | | | (3953) all_2074_0 = all_1810_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3953) implies:
% 238.61/48.50 | | | | (3954) all_2074_0 = all_1810_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3635), (3928) imply:
% 238.61/48.50 | | | | (3955) all_1844_1 = all_1760_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3955) implies:
% 238.61/48.50 | | | | (3956) all_1844_1 = all_1760_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3599), (3954) imply:
% 238.61/48.50 | | | | (3957) all_2048_0 = all_1810_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3957) implies:
% 238.61/48.50 | | | | (3958) all_2048_0 = all_1810_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3946), (3952) imply:
% 238.61/48.50 | | | | (3959) all_2048_1 = all_1758_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3959) implies:
% 238.61/48.50 | | | | (3960) all_2048_1 = all_1758_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3512), (3914) imply:
% 238.61/48.50 | | | | (3961) all_2028_2 = all_1878_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3961) implies:
% 238.61/48.50 | | | | (3962) all_2028_2 = all_1878_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3892), (3898) imply:
% 238.61/48.50 | | | | (3963) all_2052_2 = all_1988_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3963) implies:
% 238.61/48.50 | | | | (3964) all_2052_2 = all_1988_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3597), (3920) imply:
% 238.61/48.50 | | | | (3965) all_2024_0 = all_2012_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3965) implies:
% 238.61/48.50 | | | | (3966) all_2024_0 = all_2012_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3598), (3920) imply:
% 238.61/48.50 | | | | (3967) all_2012_0 = all_1964_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3634), (3945) imply:
% 238.61/48.50 | | | | (3968) all_2024_1 = all_1792_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3968) implies:
% 238.61/48.50 | | | | (3969) all_2024_1 = all_1792_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3865), (3869) imply:
% 238.61/48.50 | | | | (3970) all_2042_0 = all_2020_2
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3970) implies:
% 238.61/48.50 | | | | (3971) all_2042_0 = all_2020_2
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3866), (3869) imply:
% 238.61/48.50 | | | | (3972) all_2020_2 = all_1956_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3869), (3900) imply:
% 238.61/48.50 | | | | (3973) all_2020_2 = all_892_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3672), (3673) imply:
% 238.61/48.50 | | | | (3974) all_1946_1 = 0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3673), (3674) imply:
% 238.61/48.50 | | | | (3975) all_1946_1 = all_1862_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3511), (3964) imply:
% 238.61/48.50 | | | | (3976) all_2042_0 = all_1988_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3976) implies:
% 238.61/48.50 | | | | (3977) all_2042_0 = all_1988_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3596), (3958) imply:
% 238.61/48.50 | | | | (3978) all_2024_0 = all_1810_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3978) implies:
% 238.61/48.50 | | | | (3979) all_2024_0 = all_1810_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3633), (3960) imply:
% 238.61/48.50 | | | | (3980) all_1866_1 = all_1758_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3980) implies:
% 238.61/48.50 | | | | (3981) all_1866_1 = all_1758_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3971), (3977) imply:
% 238.61/48.50 | | | | (3982) all_2020_2 = all_1988_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3982) implies:
% 238.61/48.50 | | | | (3983) all_2020_2 = all_1988_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3510), (3962) imply:
% 238.61/48.50 | | | | (3984) all_2008_2 = all_1878_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3984) implies:
% 238.61/48.50 | | | | (3985) all_2008_2 = all_1878_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3857), (3858) imply:
% 238.61/48.50 | | | | (3986) all_1994_1 = all_1974_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3986) implies:
% 238.61/48.50 | | | | (3987) all_1994_1 = all_1974_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3966), (3979) imply:
% 238.61/48.50 | | | | (3988) all_2012_0 = all_1810_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3988) implies:
% 238.61/48.50 | | | | (3989) all_2012_0 = all_1810_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3632), (3969) imply:
% 238.61/48.50 | | | | (3990) all_1964_1 = all_1792_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3990) implies:
% 238.61/48.50 | | | | (3991) all_1964_1 = all_1792_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3972), (3983) imply:
% 238.61/48.50 | | | | (3992) all_1988_0 = all_1956_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3973), (3983) imply:
% 238.61/48.50 | | | | (3993) all_1988_0 = all_892_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3967), (3989) imply:
% 238.61/48.50 | | | | (3994) all_1964_0 = all_1810_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3994) implies:
% 238.61/48.50 | | | | (3995) all_1964_0 = all_1810_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3509), (3985) imply:
% 238.61/48.50 | | | | (3996) all_2006_2 = all_1878_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3996) implies:
% 238.61/48.50 | | | | (3997) all_2006_2 = all_1878_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3871), (3997) imply:
% 238.61/48.50 | | | | (3998) all_1948_0 = all_1878_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (3998) implies:
% 238.61/48.50 | | | | (3999) all_1948_0 = all_1878_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3906), (3912) imply:
% 238.61/48.50 | | | | (4000) all_1992_0 = all_1982_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3905), (3912) imply:
% 238.61/48.50 | | | | (4001) all_1994_1 = all_1992_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (4001) implies:
% 238.61/48.50 | | | | (4002) all_1994_1 = all_1992_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3987), (4002) imply:
% 238.61/48.50 | | | | (4003) all_1992_0 = all_1974_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (4003) implies:
% 238.61/48.50 | | | | (4004) all_1992_0 = all_1974_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (4000), (4004) imply:
% 238.61/48.50 | | | | (4005) all_1982_0 = all_1974_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (4005) implies:
% 238.61/48.50 | | | | (4006) all_1982_0 = all_1974_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3992), (3993) imply:
% 238.61/48.50 | | | | (4007) all_1956_0 = all_892_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (4007) implies:
% 238.61/48.50 | | | | (4008) all_1956_0 = all_892_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3698), (4006) imply:
% 238.61/48.50 | | | | (4009) all_1974_0 = all_1930_2
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3508), (4006) imply:
% 238.61/48.50 | | | | (4010) all_1974_0 = all_1942_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3908), (4006) imply:
% 238.61/48.50 | | | | (4011) all_1974_0 = all_1882_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (4009), (4011) imply:
% 238.61/48.50 | | | | (4012) all_1930_2 = all_1882_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (4012) implies:
% 238.61/48.50 | | | | (4013) all_1930_2 = all_1882_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (4010), (4011) imply:
% 238.61/48.50 | | | | (4014) all_1942_1 = all_1882_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (4014) implies:
% 238.61/48.50 | | | | (4015) all_1942_1 = all_1882_0
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3933), (3995) imply:
% 238.61/48.50 | | | | (4016) all_1962_0 = all_1810_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (4016) implies:
% 238.61/48.50 | | | | (4017) all_1962_0 = all_1810_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3631), (3991) imply:
% 238.61/48.50 | | | | (4018) all_1962_1 = all_1792_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (4018) implies:
% 238.61/48.50 | | | | (4019) all_1962_1 = all_1792_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3934), (4017) imply:
% 238.61/48.50 | | | | (4020) all_1936_0 = all_1810_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (4020) implies:
% 238.61/48.50 | | | | (4021) all_1936_0 = all_1810_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3630), (4019) imply:
% 238.61/48.50 | | | | (4022) all_1936_1 = all_1792_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | SIMP: (4022) implies:
% 238.61/48.50 | | | | (4023) all_1936_1 = all_1792_1
% 238.61/48.50 | | | |
% 238.61/48.50 | | | | COMBINE_EQS: (3507), (4008) imply:
% 238.61/48.51 | | | | (4024) all_1942_1 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | SIMP: (4024) implies:
% 238.61/48.51 | | | | (4025) all_1942_1 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3872), (3999) imply:
% 238.61/48.51 | | | | (4026) all_1944_1 = all_1878_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | SIMP: (4026) implies:
% 238.61/48.51 | | | | (4027) all_1944_1 = all_1878_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3974), (3975) imply:
% 238.61/48.51 | | | | (4028) all_1862_1 = 0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | SIMP: (4028) implies:
% 238.61/48.51 | | | | (4029) all_1862_1 = 0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3700), (4027) imply:
% 238.61/48.51 | | | | (4030) all_1930_2 = all_1878_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | SIMP: (4030) implies:
% 238.61/48.51 | | | | (4031) all_1930_2 = all_1878_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3611), (3612) imply:
% 238.61/48.51 | | | | (4032) all_1830_0 = all_1629_2
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3612), (3613) imply:
% 238.61/48.51 | | | | (4033) all_1830_0 = all_1820_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (4015), (4025) imply:
% 238.61/48.51 | | | | (4034) all_1882_0 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | SIMP: (4034) implies:
% 238.61/48.51 | | | | (4035) all_1882_0 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3595), (4021) imply:
% 238.61/48.51 | | | | (4036) all_1810_1 = all_1274_4
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3629), (4023) imply:
% 238.61/48.51 | | | | (4037) all_1914_2 = all_1792_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | SIMP: (4037) implies:
% 238.61/48.51 | | | | (4038) all_1914_2 = all_1792_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (4013), (4031) imply:
% 238.61/48.51 | | | | (4039) all_1882_0 = all_1878_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | SIMP: (4039) implies:
% 238.61/48.51 | | | | (4040) all_1882_0 = all_1878_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3628), (4038) imply:
% 238.61/48.51 | | | | (4041) all_1818_1 = all_1792_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | SIMP: (4041) implies:
% 238.61/48.51 | | | | (4042) all_1818_1 = all_1792_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (4035), (4040) imply:
% 238.61/48.51 | | | | (4043) all_1878_0 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | SIMP: (4043) implies:
% 238.61/48.51 | | | | (4044) all_1878_0 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3627), (3981) imply:
% 238.61/48.51 | | | | (4045) all_1782_1 = all_1758_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | SIMP: (4045) implies:
% 238.61/48.51 | | | | (4046) all_1782_1 = all_1758_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3625), (3626) imply:
% 238.61/48.51 | | | | (4047) all_1818_1 = all_1802_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | SIMP: (4047) implies:
% 238.61/48.51 | | | | (4048) all_1818_1 = all_1802_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3626), (3936) imply:
% 238.61/48.51 | | | | (4049) all_1802_1 = all_1772_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3881), (3896) imply:
% 238.61/48.51 | | | | (4050) all_1830_1 = 0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | SIMP: (4050) implies:
% 238.61/48.51 | | | | (4051) all_1830_1 = 0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3623), (3624) imply:
% 238.61/48.51 | | | | (4052) all_1788_1 = all_1768_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3623), (3956) imply:
% 238.61/48.51 | | | | (4053) all_1788_1 = all_1760_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (4032), (4033) imply:
% 238.61/48.51 | | | | (4054) all_1820_0 = all_1629_2
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (4042), (4048) imply:
% 238.61/48.51 | | | | (4055) all_1802_1 = all_1792_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | SIMP: (4055) implies:
% 238.61/48.51 | | | | (4056) all_1802_1 = all_1792_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3622), (4042) imply:
% 238.61/48.51 | | | | (4057) all_1792_1 = all_1790_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (4049), (4056) imply:
% 238.61/48.51 | | | | (4058) all_1792_1 = all_1772_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | SIMP: (4058) implies:
% 238.61/48.51 | | | | (4059) all_1792_1 = all_1772_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (4057), (4059) imply:
% 238.61/48.51 | | | | (4060) all_1790_1 = all_1772_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | SIMP: (4060) implies:
% 238.61/48.51 | | | | (4061) all_1790_1 = all_1772_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3621), (4061) imply:
% 238.61/48.51 | | | | (4062) all_1786_1 = all_1772_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | SIMP: (4062) implies:
% 238.61/48.51 | | | | (4063) all_1786_1 = all_1772_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (4052), (4053) imply:
% 238.61/48.51 | | | | (4064) all_1768_1 = all_1760_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | SIMP: (4064) implies:
% 238.61/48.51 | | | | (4065) all_1768_1 = all_1760_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3620), (4063) imply:
% 238.61/48.51 | | | | (4066) all_1784_1 = all_1772_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | SIMP: (4066) implies:
% 238.61/48.51 | | | | (4067) all_1784_1 = all_1772_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3619), (4067) imply:
% 238.61/48.51 | | | | (4068) all_1776_1 = all_1772_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | SIMP: (4068) implies:
% 238.61/48.51 | | | | (4069) all_1776_1 = all_1772_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3618), (4046) imply:
% 238.61/48.51 | | | | (4070) all_1780_1 = all_1758_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | SIMP: (4070) implies:
% 238.61/48.51 | | | | (4071) all_1780_1 = all_1758_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3617), (4071) imply:
% 238.61/48.51 | | | | (4072) all_1776_1 = all_1758_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | SIMP: (4072) implies:
% 238.61/48.51 | | | | (4073) all_1776_1 = all_1758_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3616), (4069) imply:
% 238.61/48.51 | | | | (4074) all_1772_1 = all_1766_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (4069), (4073) imply:
% 238.61/48.51 | | | | (4075) all_1772_1 = all_1758_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (4074), (4075) imply:
% 238.61/48.51 | | | | (4076) all_1766_1 = all_1758_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | SIMP: (4076) implies:
% 238.61/48.51 | | | | (4077) all_1766_1 = all_1758_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3615), (4065) imply:
% 238.61/48.51 | | | | (4078) all_1766_1 = all_1760_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | SIMP: (4078) implies:
% 238.61/48.51 | | | | (4079) all_1766_1 = all_1760_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3614), (4079) imply:
% 238.61/48.51 | | | | (4080) all_1760_1 = 0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (4077), (4079) imply:
% 238.61/48.51 | | | | (4081) all_1760_1 = all_1758_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (4080), (4081) imply:
% 238.61/48.51 | | | | (4082) all_1758_1 = 0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (4075), (4082) imply:
% 238.61/48.51 | | | | (4083) all_1772_1 = 0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (4069), (4083) imply:
% 238.61/48.51 | | | | (4084) all_1776_1 = 0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (4059), (4083) imply:
% 238.61/48.51 | | | | (4085) all_1792_1 = 0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3991), (4085) imply:
% 238.61/48.51 | | | | (4086) all_1964_1 = 0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3995), (4036) imply:
% 238.61/48.51 | | | | (4087) all_1964_0 = all_1274_4
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (4011), (4035) imply:
% 238.61/48.51 | | | | (4088) all_1974_0 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (4004), (4088) imply:
% 238.61/48.51 | | | | (4089) all_1992_0 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3858), (4088) imply:
% 238.61/48.51 | | | | (4090) all_2026_0 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3898), (3993) imply:
% 238.61/48.51 | | | | (4091) all_2066_0 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3841), (4089) imply:
% 238.61/48.51 | | | | (4092) all_2116_3 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3775), (4044) imply:
% 238.61/48.51 | | | | (4093) all_2128_3 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3891), (3993) imply:
% 238.61/48.51 | | | | (4094) all_2134_0 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3879), (4091) imply:
% 238.61/48.51 | | | | (4095) all_2136_2 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3874), (3993) imply:
% 238.61/48.51 | | | | (4096) all_2148_3 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3827), (4095) imply:
% 238.61/48.51 | | | | (4097) all_2154_2 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3839), (4094) imply:
% 238.61/48.51 | | | | (4098) all_2166_3 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3856), (4090) imply:
% 238.61/48.51 | | | | (4099) all_2170_3 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3829), (3993) imply:
% 238.61/48.51 | | | | (4100) all_2206_3 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3784), (3993) imply:
% 238.61/48.51 | | | | (4101) all_2208_3 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3549), (4097) imply:
% 238.61/48.51 | | | | (4102) all_2210_3 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3759), (4035) imply:
% 238.61/48.51 | | | | (4103) all_2214_3 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3747), (4090) imply:
% 238.61/48.51 | | | | (4104) all_2234_2 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3702), (4035) imply:
% 238.61/48.51 | | | | (4105) all_2272_6 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3751), (4044) imply:
% 238.61/48.51 | | | | (4106) all_2274_6 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3745), (3849) imply:
% 238.61/48.51 | | | | (4107) all_2278_7 = 0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3571), (4104) imply:
% 238.61/48.51 | | | | (4108) all_2278_6 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3739), (3993) imply:
% 238.61/48.51 | | | | (4109) all_2280_6 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3735), (3993) imply:
% 238.61/48.51 | | | | (4110) all_2282_6 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3713), (4100) imply:
% 238.61/48.51 | | | | (4111) all_2286_6 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3706), (4107) imply:
% 238.61/48.51 | | | | (4112) all_2288_8 = 0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3577), (4088) imply:
% 238.61/48.51 | | | | (4113) all_2288_6 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3578), (3993) imply:
% 238.61/48.51 | | | | (4114) all_2290_6 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3693), (4044) imply:
% 238.61/48.51 | | | | (4115) all_2292_6 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3580), (4111) imply:
% 238.61/48.51 | | | | (4116) all_2294_6 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3586), (4035) imply:
% 238.61/48.51 | | | | (4117) all_2298_6 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | COMBINE_EQS: (3594), (4044) imply:
% 238.61/48.51 | | | | (4118) all_2363_4 = all_892_0
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | REDUCE: (3500), (4118) imply:
% 238.61/48.51 | | | | (4119) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.61/48.51 | | | | all_1168_0) = all_2363_1
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | REDUCE: (3479), (4117) imply:
% 238.61/48.51 | | | | (4120) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.61/48.51 | | | | all_1168_0) = all_2298_5
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | REDUCE: (3466), (4115) imply:
% 238.61/48.51 | | | | (4121) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.61/48.51 | | | | all_1168_0) = all_2292_5
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | REDUCE: (3461), (4114) imply:
% 238.61/48.51 | | | | (4122) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.61/48.51 | | | | all_1168_0) = all_2290_5
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | REDUCE: (3454), (4113) imply:
% 238.61/48.51 | | | | (4123) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.61/48.51 | | | | all_1168_0) = all_2288_5
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | REDUCE: (3371), (4102) imply:
% 238.61/48.51 | | | | (4124) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.61/48.51 | | | | all_1168_0) = all_2210_2
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | REDUCE: (3290), (4092) imply:
% 238.61/48.51 | | | | (4125) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.61/48.51 | | | | all_1168_0) = all_2116_2
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | REDUCE: (3471), (4116) imply:
% 238.61/48.51 | | | | (4126) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.51 | | | | all_892_0) = all_2294_2
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | REDUCE: (3448), (4111) imply:
% 238.61/48.51 | | | | (4127) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.51 | | | | all_892_0) = all_2286_2
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | REDUCE: (3437), (4109) imply:
% 238.61/48.51 | | | | (4128) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.51 | | | | all_892_0) = all_2280_2
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | REDUCE: (3433), (4108) imply:
% 238.61/48.51 | | | | (4129) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.51 | | | | all_892_0) = all_2278_2
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | REDUCE: (3426), (4106) imply:
% 238.61/48.51 | | | | (4130) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.51 | | | | all_892_0) = all_2274_2
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | REDUCE: (3376), (4103) imply:
% 238.61/48.51 | | | | (4131) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.51 | | | | all_892_0) = all_2214_2
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | REDUCE: (3349), (3845) imply:
% 238.61/48.51 | | | | (4132) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.51 | | | | all_892_0) = all_2180_2
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | REDUCE: (3334), (4099) imply:
% 238.61/48.51 | | | | (4133) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.51 | | | | all_892_0) = all_2170_2
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | REDUCE: (3329), (4098) imply:
% 238.61/48.51 | | | | (4134) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.51 | | | | all_892_0) = all_2166_2
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | REDUCE: (3316), (4096) imply:
% 238.61/48.51 | | | | (4135) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1293_0,
% 238.61/48.51 | | | | all_892_0) = all_2148_2
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | REDUCE: (3478), (4117) imply:
% 238.61/48.51 | | | | (4136) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.51 | | | | all_892_0) = all_2298_2
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | REDUCE: (3460), (4114) imply:
% 238.61/48.51 | | | | (4137) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.51 | | | | all_892_0) = all_2290_2
% 238.61/48.51 | | | |
% 238.61/48.51 | | | | REDUCE: (3453), (4113) imply:
% 238.61/48.52 | | | | (4138) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.52 | | | | all_892_0) = all_2288_2
% 238.61/48.52 | | | |
% 238.61/48.52 | | | | REDUCE: (3441), (4110) imply:
% 238.61/48.52 | | | | (4139) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.52 | | | | all_892_0) = all_2282_2
% 238.61/48.52 | | | |
% 238.61/48.52 | | | | REDUCE: (3368), (4101) imply:
% 238.61/48.52 | | | | (4140) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.52 | | | | all_892_0) = all_2208_2
% 238.61/48.52 | | | |
% 238.61/48.52 | | | | REDUCE: (3299), (4093) imply:
% 238.61/48.52 | | | | (4141) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1168_0,
% 238.61/48.52 | | | | all_892_0) = all_2128_2
% 238.61/48.52 | | | |
% 238.61/48.52 | | | | REDUCE: (3470), (4116) imply:
% 238.61/48.52 | | | | (4142) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.61/48.52 | | | | all_892_0) = all_2294_0
% 238.61/48.52 | | | |
% 238.61/48.52 | | | | REDUCE: (3452), (4113) imply:
% 238.61/48.52 | | | | (4143) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.61/48.52 | | | | all_892_0) = all_2288_0
% 238.61/48.52 | | | |
% 238.61/48.52 | | | | REDUCE: (3422), (4105) imply:
% 238.61/48.52 | | | | (4144) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.61/48.52 | | | | all_892_0) = all_2272_0
% 238.61/48.52 | | | |
% 238.61/48.52 | | | | BETA: splitting (3140) gives:
% 238.61/48.52 | | | |
% 238.61/48.52 | | | | Case 1:
% 238.61/48.52 | | | | |
% 238.61/48.52 | | | | | (4145) ~ (all_1776_0 = 0)
% 238.61/48.52 | | | | |
% 238.61/48.52 | | | | | BETA: splitting (3096) gives:
% 238.61/48.52 | | | | |
% 238.61/48.52 | | | | | Case 1:
% 238.61/48.52 | | | | | |
% 238.61/48.52 | | | | | | (4146) all_1274_3 = all_1077_0
% 238.61/48.52 | | | | | |
% 238.61/48.52 | | | | | | COMBINE_EQS: (2141), (4146) imply:
% 238.61/48.52 | | | | | | (4147) all_1274_3 = all_892_0
% 238.61/48.52 | | | | | |
% 238.61/48.52 | | | | | | REDUCE: (3484), (4147) imply:
% 238.61/48.52 | | | | | | (4148) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.61/48.52 | | | | | | all_892_0) = all_1776_0
% 238.61/48.52 | | | | | |
% 238.61/48.52 | | | | | | REDUCE: (3483), (4147) imply:
% 238.61/48.52 | | | | | | (4149) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_892_0,
% 238.61/48.52 | | | | | | all_892_0) = all_2096_1
% 238.61/48.52 | | | | | |
% 238.61/48.52 | | | | | | BETA: splitting (3166) gives:
% 238.61/48.52 | | | | | |
% 238.61/48.52 | | | | | | Case 1:
% 238.61/48.52 | | | | | | |
% 238.61/48.52 | | | | | | | (4150) ~ (all_1830_1 = 0)
% 238.61/48.52 | | | | | | |
% 238.61/48.52 | | | | | | | REDUCE: (4051), (4150) imply:
% 238.61/48.52 | | | | | | | (4151) $false
% 238.61/48.52 | | | | | | |
% 238.61/48.52 | | | | | | | CLOSE: (4151) is inconsistent.
% 238.61/48.52 | | | | | | |
% 238.61/48.52 | | | | | | Case 2:
% 238.61/48.52 | | | | | | |
% 238.61/48.52 | | | | | | | (4152) all_1830_0 = all_1530_0
% 238.61/48.52 | | | | | | |
% 238.61/48.52 | | | | | | | COMBINE_EQS: (4032), (4152) imply:
% 238.61/48.52 | | | | | | | (4153) all_1629_2 = all_1530_0
% 238.61/48.52 | | | | | | |
% 238.61/48.52 | | | | | | | SIMP: (4153) implies:
% 238.61/48.52 | | | | | | | (4154) all_1629_2 = all_1530_0
% 238.61/48.52 | | | | | | |
% 238.61/48.52 | | | | | | | REDUCE: (1092), (4154) imply:
% 238.61/48.52 | | | | | | | (4155) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.61/48.52 | | | | | | | all_1530_0, all_1629_1) = all_1629_0
% 238.61/48.52 | | | | | | |
% 238.61/48.52 | | | | | | | BETA: splitting (3176) gives:
% 238.61/48.52 | | | | | | |
% 238.61/48.52 | | | | | | | Case 1:
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | (4156) ~ (all_1862_1 = 0)
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | REDUCE: (4029), (4156) imply:
% 238.61/48.52 | | | | | | | | (4157) $false
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | CLOSE: (4157) is inconsistent.
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | Case 2:
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | (4158) all_1862_0 = all_1629_1
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | COMBINE_EQS: (3506), (4158) imply:
% 238.61/48.52 | | | | | | | | (4159) all_1629_1 = all_1552_0
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | REDUCE: (4155), (4159) imply:
% 238.61/48.52 | | | | | | | | (4160) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 238.61/48.52 | | | | | | | | all_1530_0, all_1552_0) = all_1629_0
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | GROUND_INST: instantiating (275) with all_1708_0, all_2096_1,
% 238.61/48.52 | | | | | | | | all_892_0, all_892_0, tc_RealDef_Oreal, simplifying
% 238.61/48.52 | | | | | | | | with (3485), (4149) gives:
% 238.61/48.52 | | | | | | | | (4161) all_2096_1 = all_1708_0
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | GROUND_INST: instantiating (275) with all_2096_1, all_2272_0,
% 238.61/48.52 | | | | | | | | all_892_0, all_892_0, tc_RealDef_Oreal, simplifying
% 238.61/48.52 | | | | | | | | with (4144), (4149) gives:
% 238.61/48.52 | | | | | | | | (4162) all_2272_0 = all_2096_1
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | GROUND_INST: instantiating (275) with all_2272_0, all_2288_0,
% 238.61/48.52 | | | | | | | | all_892_0, all_892_0, tc_RealDef_Oreal, simplifying
% 238.61/48.52 | | | | | | | | with (4143), (4144) gives:
% 238.61/48.52 | | | | | | | | (4163) all_2288_0 = all_2272_0
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | GROUND_INST: instantiating (275) with all_2288_0, all_2294_0,
% 238.61/48.52 | | | | | | | | all_892_0, all_892_0, tc_RealDef_Oreal, simplifying
% 238.61/48.52 | | | | | | | | with (4142), (4143) gives:
% 238.61/48.52 | | | | | | | | (4164) all_2294_0 = all_2288_0
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | GROUND_INST: instantiating (275) with all_1776_0, all_2294_0,
% 238.61/48.52 | | | | | | | | all_892_0, all_892_0, tc_RealDef_Oreal, simplifying
% 238.61/48.52 | | | | | | | | with (4142), (4148) gives:
% 238.61/48.52 | | | | | | | | (4165) all_2294_0 = all_1776_0
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | GROUND_INST: instantiating (275) with all_2178_2, all_2210_2,
% 238.61/48.52 | | | | | | | | all_1168_0, all_892_0, tc_RealDef_Oreal,
% 238.61/48.52 | | | | | | | | simplifying with (3343), (4124) gives:
% 238.61/48.52 | | | | | | | | (4166) all_2210_2 = all_2178_2
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | GROUND_INST: instantiating (275) with all_2290_5, all_2298_5,
% 238.61/48.52 | | | | | | | | all_1168_0, all_892_0, tc_RealDef_Oreal,
% 238.61/48.52 | | | | | | | | simplifying with (4120), (4122) gives:
% 238.61/48.52 | | | | | | | | (4167) all_2298_5 = all_2290_5
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | GROUND_INST: instantiating (275) with all_2288_5, all_2298_5,
% 238.61/48.52 | | | | | | | | all_1168_0, all_892_0, tc_RealDef_Oreal,
% 238.61/48.52 | | | | | | | | simplifying with (4120), (4123) gives:
% 238.61/48.52 | | | | | | | | (4168) all_2298_5 = all_2288_5
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | GROUND_INST: instantiating (275) with all_2210_2, all_2298_5,
% 238.61/48.52 | | | | | | | | all_1168_0, all_892_0, tc_RealDef_Oreal,
% 238.61/48.52 | | | | | | | | simplifying with (4120), (4124) gives:
% 238.61/48.52 | | | | | | | | (4169) all_2298_5 = all_2210_2
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | GROUND_INST: instantiating (275) with all_2298_5, all_2363_1,
% 238.61/48.52 | | | | | | | | all_1168_0, all_892_0, tc_RealDef_Oreal,
% 238.61/48.52 | | | | | | | | simplifying with (4119), (4120) gives:
% 238.61/48.52 | | | | | | | | (4170) all_2363_1 = all_2298_5
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | GROUND_INST: instantiating (275) with all_2292_5, all_2363_1,
% 238.61/48.52 | | | | | | | | all_1168_0, all_892_0, tc_RealDef_Oreal,
% 238.61/48.52 | | | | | | | | simplifying with (4119), (4121) gives:
% 238.61/48.52 | | | | | | | | (4171) all_2363_1 = all_2292_5
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | GROUND_INST: instantiating (275) with all_2116_2, all_2363_1,
% 238.61/48.52 | | | | | | | | all_1168_0, all_892_0, tc_RealDef_Oreal,
% 238.61/48.52 | | | | | | | | simplifying with (4119), (4125) gives:
% 238.61/48.52 | | | | | | | | (4172) all_2363_1 = all_2116_2
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | GROUND_INST: instantiating (275) with all_2208_2, all_2282_2,
% 238.61/48.52 | | | | | | | | all_892_0, all_1168_0, tc_RealDef_Oreal,
% 238.61/48.52 | | | | | | | | simplifying with (4139), (4140) gives:
% 238.61/48.52 | | | | | | | | (4173) all_2282_2 = all_2208_2
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | GROUND_INST: instantiating (275) with all_2128_2, all_2282_2,
% 238.61/48.52 | | | | | | | | all_892_0, all_1168_0, tc_RealDef_Oreal,
% 238.61/48.52 | | | | | | | | simplifying with (4139), (4141) gives:
% 238.61/48.52 | | | | | | | | (4174) all_2282_2 = all_2128_2
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | GROUND_INST: instantiating (275) with all_2178_0, all_2290_2,
% 238.61/48.52 | | | | | | | | all_892_0, all_1168_0, tc_RealDef_Oreal,
% 238.61/48.52 | | | | | | | | simplifying with (3344), (4137) gives:
% 238.61/48.52 | | | | | | | | (4175) all_2290_2 = all_2178_0
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | GROUND_INST: instantiating (275) with all_2208_2, all_2290_2,
% 238.61/48.52 | | | | | | | | all_892_0, all_1168_0, tc_RealDef_Oreal,
% 238.61/48.52 | | | | | | | | simplifying with (4137), (4140) gives:
% 238.61/48.52 | | | | | | | | (4176) all_2290_2 = all_2208_2
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | GROUND_INST: instantiating (275) with all_2290_2, all_2298_2,
% 238.61/48.52 | | | | | | | | all_892_0, all_1168_0, tc_RealDef_Oreal,
% 238.61/48.52 | | | | | | | | simplifying with (4136), (4137) gives:
% 238.61/48.52 | | | | | | | | (4177) all_2298_2 = all_2290_2
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | GROUND_INST: instantiating (275) with all_2288_2, all_2298_2,
% 238.61/48.52 | | | | | | | | all_892_0, all_1168_0, tc_RealDef_Oreal,
% 238.61/48.52 | | | | | | | | simplifying with (4136), (4138) gives:
% 238.61/48.52 | | | | | | | | (4178) all_2298_2 = all_2288_2
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | GROUND_INST: instantiating (275) with all_2166_2, all_2180_2,
% 238.61/48.52 | | | | | | | | all_892_0, all_1293_0, tc_RealDef_Oreal,
% 238.61/48.52 | | | | | | | | simplifying with (4132), (4134) gives:
% 238.61/48.52 | | | | | | | | (4179) all_2180_2 = all_2166_2
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | GROUND_INST: instantiating (275) with all_2178_1, all_2278_2,
% 238.61/48.52 | | | | | | | | all_892_0, all_1293_0, tc_RealDef_Oreal,
% 238.61/48.52 | | | | | | | | simplifying with (3345), (4129) gives:
% 238.61/48.52 | | | | | | | | (4180) all_2278_2 = all_2178_1
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | GROUND_INST: instantiating (275) with all_2214_2, all_2278_2,
% 238.61/48.52 | | | | | | | | all_892_0, all_1293_0, tc_RealDef_Oreal,
% 238.61/48.52 | | | | | | | | simplifying with (4129), (4131) gives:
% 238.61/48.52 | | | | | | | | (4181) all_2278_2 = all_2214_2
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | GROUND_INST: instantiating (275) with all_2180_2, all_2278_2,
% 238.61/48.52 | | | | | | | | all_892_0, all_1293_0, tc_RealDef_Oreal,
% 238.61/48.52 | | | | | | | | simplifying with (4129), (4132) gives:
% 238.61/48.52 | | | | | | | | (4182) all_2278_2 = all_2180_2
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | GROUND_INST: instantiating (275) with all_2148_2, all_2278_2,
% 238.61/48.52 | | | | | | | | all_892_0, all_1293_0, tc_RealDef_Oreal,
% 238.61/48.52 | | | | | | | | simplifying with (4129), (4135) gives:
% 238.61/48.52 | | | | | | | | (4183) all_2278_2 = all_2148_2
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | GROUND_INST: instantiating (275) with all_2278_2, all_2280_2,
% 238.61/48.52 | | | | | | | | all_892_0, all_1293_0, tc_RealDef_Oreal,
% 238.61/48.52 | | | | | | | | simplifying with (4128), (4129) gives:
% 238.61/48.52 | | | | | | | | (4184) all_2280_2 = all_2278_2
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | GROUND_INST: instantiating (275) with all_2278_2, all_2286_2,
% 238.61/48.52 | | | | | | | | all_892_0, all_1293_0, tc_RealDef_Oreal,
% 238.61/48.52 | | | | | | | | simplifying with (4127), (4129) gives:
% 238.61/48.52 | | | | | | | | (4185) all_2286_2 = all_2278_2
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | GROUND_INST: instantiating (275) with all_2170_2, all_2286_2,
% 238.61/48.52 | | | | | | | | all_892_0, all_1293_0, tc_RealDef_Oreal,
% 238.61/48.52 | | | | | | | | simplifying with (4127), (4133) gives:
% 238.61/48.52 | | | | | | | | (4186) all_2286_2 = all_2170_2
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | GROUND_INST: instantiating (275) with all_2280_2, all_2294_2,
% 238.61/48.52 | | | | | | | | all_892_0, all_1293_0, tc_RealDef_Oreal,
% 238.61/48.52 | | | | | | | | simplifying with (4126), (4128) gives:
% 238.61/48.52 | | | | | | | | (4187) all_2294_2 = all_2280_2
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | GROUND_INST: instantiating (275) with all_2274_2, all_2294_2,
% 238.61/48.52 | | | | | | | | all_892_0, all_1293_0, tc_RealDef_Oreal,
% 238.61/48.52 | | | | | | | | simplifying with (4126), (4130) gives:
% 238.61/48.52 | | | | | | | | (4188) all_2294_2 = all_2274_2
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | GROUND_INST: instantiating (275) with all_1609_0, all_1629_0,
% 238.61/48.52 | | | | | | | | all_1552_0, all_1530_0, tc_RealDef_Oreal,
% 238.61/48.52 | | | | | | | | simplifying with (2966), (4160) gives:
% 238.61/48.52 | | | | | | | | (4189) all_1629_0 = all_1609_0
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | COMBINE_EQS: (4171), (4172) imply:
% 238.61/48.52 | | | | | | | | (4190) all_2292_5 = all_2116_2
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | COMBINE_EQS: (4170), (4171) imply:
% 238.61/48.52 | | | | | | | | (4191) all_2298_5 = all_2292_5
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | SIMP: (4191) implies:
% 238.61/48.52 | | | | | | | | (4192) all_2298_5 = all_2292_5
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | COMBINE_EQS: (4177), (4178) imply:
% 238.61/48.52 | | | | | | | | (4193) all_2290_2 = all_2288_2
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | SIMP: (4193) implies:
% 238.61/48.52 | | | | | | | | (4194) all_2290_2 = all_2288_2
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | COMBINE_EQS: (4167), (4168) imply:
% 238.61/48.52 | | | | | | | | (4195) all_2290_5 = all_2288_5
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | COMBINE_EQS: (4167), (4192) imply:
% 238.61/48.52 | | | | | | | | (4196) all_2292_5 = all_2290_5
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | SIMP: (4196) implies:
% 238.61/48.52 | | | | | | | | (4197) all_2292_5 = all_2290_5
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | COMBINE_EQS: (4167), (4169) imply:
% 238.61/48.52 | | | | | | | | (4198) all_2290_5 = all_2210_2
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | COMBINE_EQS: (4164), (4165) imply:
% 238.61/48.52 | | | | | | | | (4199) all_2288_0 = all_1776_0
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | SIMP: (4199) implies:
% 238.61/48.52 | | | | | | | | (4200) all_2288_0 = all_1776_0
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | COMBINE_EQS: (4187), (4188) imply:
% 238.61/48.52 | | | | | | | | (4201) all_2280_2 = all_2274_2
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | SIMP: (4201) implies:
% 238.61/48.52 | | | | | | | | (4202) all_2280_2 = all_2274_2
% 238.61/48.52 | | | | | | | |
% 238.61/48.52 | | | | | | | | COMBINE_EQS: (4190), (4197) imply:
% 238.61/48.52 | | | | | | | | (4203) all_2290_5 = all_2116_2
% 238.61/48.52 | | | | | | | |
% 238.61/48.53 | | | | | | | | SIMP: (4203) implies:
% 238.61/48.53 | | | | | | | | (4204) all_2290_5 = all_2116_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4175), (4194) imply:
% 238.61/48.53 | | | | | | | | (4205) all_2288_2 = all_2178_0
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4176), (4194) imply:
% 238.61/48.53 | | | | | | | | (4206) all_2288_2 = all_2208_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4195), (4198) imply:
% 238.61/48.53 | | | | | | | | (4207) all_2288_5 = all_2210_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4195), (4204) imply:
% 238.61/48.53 | | | | | | | | (4208) all_2288_5 = all_2116_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4163), (4200) imply:
% 238.61/48.53 | | | | | | | | (4209) all_2272_0 = all_1776_0
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | SIMP: (4209) implies:
% 238.61/48.53 | | | | | | | | (4210) all_2272_0 = all_1776_0
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4205), (4206) imply:
% 238.61/48.53 | | | | | | | | (4211) all_2208_2 = all_2178_0
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | SIMP: (4211) implies:
% 238.61/48.53 | | | | | | | | (4212) all_2208_2 = all_2178_0
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4207), (4208) imply:
% 238.61/48.53 | | | | | | | | (4213) all_2210_2 = all_2116_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | SIMP: (4213) implies:
% 238.61/48.53 | | | | | | | | (4214) all_2210_2 = all_2116_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4185), (4186) imply:
% 238.61/48.53 | | | | | | | | (4215) all_2278_2 = all_2170_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | SIMP: (4215) implies:
% 238.61/48.53 | | | | | | | | (4216) all_2278_2 = all_2170_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4173), (4174) imply:
% 238.61/48.53 | | | | | | | | (4217) all_2208_2 = all_2128_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | SIMP: (4217) implies:
% 238.61/48.53 | | | | | | | | (4218) all_2208_2 = all_2128_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4184), (4202) imply:
% 238.61/48.53 | | | | | | | | (4219) all_2278_2 = all_2274_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | SIMP: (4219) implies:
% 238.61/48.53 | | | | | | | | (4220) all_2278_2 = all_2274_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4216), (4220) imply:
% 238.61/48.53 | | | | | | | | (4221) all_2274_2 = all_2170_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4182), (4220) imply:
% 238.61/48.53 | | | | | | | | (4222) all_2274_2 = all_2180_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4183), (4220) imply:
% 238.61/48.53 | | | | | | | | (4223) all_2274_2 = all_2148_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4180), (4220) imply:
% 238.61/48.53 | | | | | | | | (4224) all_2274_2 = all_2178_1
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4181), (4220) imply:
% 238.61/48.53 | | | | | | | | (4225) all_2274_2 = all_2214_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4224), (4225) imply:
% 238.61/48.53 | | | | | | | | (4226) all_2214_2 = all_2178_1
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4222), (4225) imply:
% 238.61/48.53 | | | | | | | | (4227) all_2214_2 = all_2180_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4223), (4225) imply:
% 238.61/48.53 | | | | | | | | (4228) all_2214_2 = all_2148_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4221), (4225) imply:
% 238.61/48.53 | | | | | | | | (4229) all_2214_2 = all_2170_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4162), (4210) imply:
% 238.61/48.53 | | | | | | | | (4230) all_2096_1 = all_1776_0
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | SIMP: (4230) implies:
% 238.61/48.53 | | | | | | | | (4231) all_2096_1 = all_1776_0
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4226), (4228) imply:
% 238.61/48.53 | | | | | | | | (4232) all_2178_1 = all_2148_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4226), (4229) imply:
% 238.61/48.53 | | | | | | | | (4233) all_2178_1 = all_2170_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4226), (4227) imply:
% 238.61/48.53 | | | | | | | | (4234) all_2180_2 = all_2178_1
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | SIMP: (4234) implies:
% 238.61/48.53 | | | | | | | | (4235) all_2180_2 = all_2178_1
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4166), (4214) imply:
% 238.61/48.53 | | | | | | | | (4236) all_2178_2 = all_2116_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | SIMP: (4236) implies:
% 238.61/48.53 | | | | | | | | (4237) all_2178_2 = all_2116_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4212), (4218) imply:
% 238.61/48.53 | | | | | | | | (4238) all_2178_0 = all_2128_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4179), (4235) imply:
% 238.61/48.53 | | | | | | | | (4239) all_2178_1 = all_2166_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | SIMP: (4239) implies:
% 238.61/48.53 | | | | | | | | (4240) all_2178_1 = all_2166_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4232), (4233) imply:
% 238.61/48.53 | | | | | | | | (4241) all_2170_2 = all_2148_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4233), (4240) imply:
% 238.61/48.53 | | | | | | | | (4242) all_2170_2 = all_2166_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4241), (4242) imply:
% 238.61/48.53 | | | | | | | | (4243) all_2166_2 = all_2148_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4161), (4231) imply:
% 238.61/48.53 | | | | | | | | (4244) all_1776_0 = all_1708_0
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | SIMP: (4244) implies:
% 238.61/48.53 | | | | | | | | (4245) all_1776_0 = all_1708_0
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (3502), (4237) imply:
% 238.61/48.53 | | | | | | | | (4246) all_2270_3 = all_2116_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (3504), (4238) imply:
% 238.61/48.53 | | | | | | | | (4247) all_2270_1 = all_2128_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (3505), (4232) imply:
% 238.61/48.53 | | | | | | | | (4248) all_2270_0 = all_2148_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4205), (4238) imply:
% 238.61/48.53 | | | | | | | | (4249) all_2288_2 = all_2128_2
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | COMBINE_EQS: (4200), (4245) imply:
% 238.61/48.53 | | | | | | | | (4250) all_2288_0 = all_1708_0
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | REDUCE: (4145), (4245) imply:
% 238.61/48.53 | | | | | | | | (4251) ~ (all_1708_0 = 0)
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | BETA: splitting (1108) gives:
% 238.61/48.53 | | | | | | | |
% 238.61/48.53 | | | | | | | | Case 1:
% 238.61/48.53 | | | | | | | | |
% 238.61/48.53 | | | | | | | | | (4252) ~ (all_1629_3 = 0)
% 238.61/48.53 | | | | | | | | |
% 238.61/48.53 | | | | | | | | | BETA: splitting (3420) gives:
% 238.61/48.53 | | | | | | | | |
% 238.61/48.53 | | | | | | | | | Case 1:
% 238.61/48.53 | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | (4253) ~ (all_2270_4 = 0)
% 238.61/48.53 | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | REDUCE: (3741), (4253) imply:
% 238.61/48.53 | | | | | | | | | | (4254) $false
% 238.61/48.53 | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | CLOSE: (4254) is inconsistent.
% 238.61/48.53 | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | Case 2:
% 238.61/48.53 | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | (4255) ( ~ (all_1629_3 = 0) | (all_2270_0 = 0 &
% 238.61/48.53 | | | | | | | | | | all_2270_1 = 0) | (all_2270_2 = 0 & all_2270_3
% 238.61/48.53 | | | | | | | | | | = 0)) & (all_1629_3 = 0 | (( ~ (all_2270_0 =
% 238.61/48.53 | | | | | | | | | | 0) | ~ (all_2270_1 = 0)) & ( ~
% 238.61/48.53 | | | | | | | | | | (all_2270_2 = 0) | ~ (all_2270_3 = 0))))
% 238.61/48.53 | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | ALPHA: (4255) implies:
% 238.61/48.53 | | | | | | | | | | (4256) all_1629_3 = 0 | (( ~ (all_2270_0 = 0) | ~
% 238.61/48.53 | | | | | | | | | | (all_2270_1 = 0)) & ( ~ (all_2270_2 = 0) | ~
% 238.61/48.53 | | | | | | | | | | (all_2270_3 = 0)))
% 238.61/48.53 | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | BETA: splitting (4256) gives:
% 238.61/48.53 | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | Case 1:
% 238.61/48.53 | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | (4257) all_1629_3 = 0
% 238.61/48.53 | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | REDUCE: (4252), (4257) imply:
% 238.61/48.53 | | | | | | | | | | | (4258) $false
% 238.61/48.53 | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | CLOSE: (4258) is inconsistent.
% 238.61/48.53 | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | Case 2:
% 238.61/48.53 | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | (4259) ( ~ (all_2270_0 = 0) | ~ (all_2270_1 = 0)) & ( ~
% 238.61/48.53 | | | | | | | | | | | (all_2270_2 = 0) | ~ (all_2270_3 = 0))
% 238.61/48.53 | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | ALPHA: (4259) implies:
% 238.61/48.53 | | | | | | | | | | | (4260) ~ (all_2270_2 = 0) | ~ (all_2270_3 = 0)
% 238.61/48.53 | | | | | | | | | | | (4261) ~ (all_2270_0 = 0) | ~ (all_2270_1 = 0)
% 238.61/48.53 | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | BETA: splitting (4260) gives:
% 238.61/48.53 | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | Case 1:
% 238.61/48.53 | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | (4262) ~ (all_2270_2 = 0)
% 238.61/48.53 | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | REDUCE: (3503), (4262) imply:
% 238.61/48.53 | | | | | | | | | | | | (4263) $false
% 238.61/48.53 | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | CLOSE: (4263) is inconsistent.
% 238.61/48.53 | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | Case 2:
% 238.61/48.53 | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | (4264) ~ (all_2270_3 = 0)
% 238.61/48.53 | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | REDUCE: (4246), (4264) imply:
% 238.61/48.53 | | | | | | | | | | | | (4265) ~ (all_2116_2 = 0)
% 238.61/48.53 | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | BETA: splitting (3458) gives:
% 238.61/48.53 | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | Case 1:
% 238.61/48.53 | | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | | (4266) ~ (all_2288_7 = 0)
% 238.61/48.53 | | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | | REDUCE: (3722), (4266) imply:
% 238.61/48.53 | | | | | | | | | | | | | (4267) $false
% 238.61/48.53 | | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | | CLOSE: (4267) is inconsistent.
% 238.61/48.53 | | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | Case 2:
% 238.61/48.53 | | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | | (4268) ~ (all_2288_8 = 0) | (( ~ (all_2288_5 = 0) |
% 238.61/48.53 | | | | | | | | | | | | | all_2288_3 = 0) & (all_2288_5 = 0 | (( ~
% 238.61/48.53 | | | | | | | | | | | | | (all_2288_2 = 0) | all_2288_1 = 0) &
% 238.61/48.53 | | | | | | | | | | | | | (all_2288_0 = 0 | all_2288_2 = 0))))
% 238.61/48.53 | | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | | BETA: splitting (3347) gives:
% 238.61/48.53 | | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | | Case 1:
% 238.61/48.53 | | | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | | | (4269) ~ (all_2178_4 = 0)
% 238.61/48.53 | | | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | | | REDUCE: (3763), (4269) imply:
% 238.61/48.53 | | | | | | | | | | | | | | (4270) $false
% 238.61/48.53 | | | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | | | CLOSE: (4270) is inconsistent.
% 238.61/48.53 | | | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | | Case 2:
% 238.61/48.53 | | | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | | | (4271) (all_2178_0 = 0 & all_2178_1 = 0) | (all_2178_2 =
% 238.61/48.53 | | | | | | | | | | | | | | 0 & all_2178_3 = 0)
% 238.61/48.53 | | | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | | | BETA: splitting (4268) gives:
% 238.61/48.53 | | | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | | | Case 1:
% 238.61/48.53 | | | | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | | | | (4272) ~ (all_2288_8 = 0)
% 238.61/48.53 | | | | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | | | | REDUCE: (4112), (4272) imply:
% 238.61/48.53 | | | | | | | | | | | | | | | (4273) $false
% 238.61/48.53 | | | | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | | | | CLOSE: (4273) is inconsistent.
% 238.61/48.53 | | | | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | | | Case 2:
% 238.61/48.53 | | | | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | | | | (4274) ( ~ (all_2288_5 = 0) | all_2288_3 = 0) &
% 238.61/48.53 | | | | | | | | | | | | | | | (all_2288_5 = 0 | (( ~ (all_2288_2 = 0) |
% 238.61/48.53 | | | | | | | | | | | | | | | all_2288_1 = 0) & (all_2288_0 = 0 |
% 238.61/48.53 | | | | | | | | | | | | | | | all_2288_2 = 0)))
% 238.61/48.53 | | | | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | | | | ALPHA: (4274) implies:
% 238.61/48.53 | | | | | | | | | | | | | | | (4275) all_2288_5 = 0 | (( ~ (all_2288_2 = 0) |
% 238.61/48.53 | | | | | | | | | | | | | | | all_2288_1 = 0) & (all_2288_0 = 0 | all_2288_2
% 238.61/48.53 | | | | | | | | | | | | | | | = 0))
% 238.61/48.53 | | | | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | | | | BETA: splitting (4275) gives:
% 238.61/48.53 | | | | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | | | | Case 1:
% 238.61/48.53 | | | | | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | | | | | (4276) all_2288_5 = 0
% 238.61/48.53 | | | | | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | | | | | COMBINE_EQS: (4208), (4276) imply:
% 238.61/48.53 | | | | | | | | | | | | | | | | (4277) all_2116_2 = 0
% 238.61/48.53 | | | | | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | | | | | REDUCE: (4265), (4277) imply:
% 238.61/48.53 | | | | | | | | | | | | | | | | (4278) $false
% 238.61/48.53 | | | | | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | | | | | CLOSE: (4278) is inconsistent.
% 238.61/48.53 | | | | | | | | | | | | | | | |
% 238.61/48.53 | | | | | | | | | | | | | | | Case 2:
% 238.61/48.53 | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | (4279) ~ (all_2288_5 = 0)
% 238.61/48.54 | | | | | | | | | | | | | | | | (4280) ( ~ (all_2288_2 = 0) | all_2288_1 = 0) &
% 238.61/48.54 | | | | | | | | | | | | | | | | (all_2288_0 = 0 | all_2288_2 = 0)
% 238.61/48.54 | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | ALPHA: (4280) implies:
% 238.61/48.54 | | | | | | | | | | | | | | | | (4281) all_2288_0 = 0 | all_2288_2 = 0
% 238.61/48.54 | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | BETA: splitting (4281) gives:
% 238.61/48.54 | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | Case 1:
% 238.61/48.54 | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | | (4282) all_2288_0 = 0
% 238.61/48.54 | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | | COMBINE_EQS: (4250), (4282) imply:
% 238.61/48.54 | | | | | | | | | | | | | | | | | (4283) all_1708_0 = 0
% 238.61/48.54 | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | | REDUCE: (4251), (4283) imply:
% 238.61/48.54 | | | | | | | | | | | | | | | | | (4284) $false
% 238.61/48.54 | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | | CLOSE: (4284) is inconsistent.
% 238.61/48.54 | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | Case 2:
% 238.61/48.54 | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | | (4285) all_2288_2 = 0
% 238.61/48.54 | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | | COMBINE_EQS: (4249), (4285) imply:
% 238.61/48.54 | | | | | | | | | | | | | | | | | (4286) all_2128_2 = 0
% 238.61/48.54 | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | | COMBINE_EQS: (4247), (4286) imply:
% 238.61/48.54 | | | | | | | | | | | | | | | | | (4287) all_2270_1 = 0
% 238.61/48.54 | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | | BETA: splitting (4271) gives:
% 238.61/48.54 | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | | Case 1:
% 238.61/48.54 | | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | | | (4288) all_2178_0 = 0 & all_2178_1 = 0
% 238.61/48.54 | | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | | | ALPHA: (4288) implies:
% 238.61/48.54 | | | | | | | | | | | | | | | | | | (4289) all_2178_1 = 0
% 238.61/48.54 | | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4232), (4289) imply:
% 238.61/48.54 | | | | | | | | | | | | | | | | | | (4290) all_2148_2 = 0
% 238.61/48.54 | | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4248), (4290) imply:
% 238.61/48.54 | | | | | | | | | | | | | | | | | | (4291) all_2270_0 = 0
% 238.61/48.54 | | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | | | BETA: splitting (4261) gives:
% 238.61/48.54 | | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | | | Case 1:
% 238.61/48.54 | | | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | | | | (4292) ~ (all_2270_0 = 0)
% 238.61/48.54 | | | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | | | | REDUCE: (4291), (4292) imply:
% 238.61/48.54 | | | | | | | | | | | | | | | | | | | (4293) $false
% 238.61/48.54 | | | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | | | | CLOSE: (4293) is inconsistent.
% 238.61/48.54 | | | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | | | Case 2:
% 238.61/48.54 | | | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | | | | (4294) ~ (all_2270_1 = 0)
% 238.61/48.54 | | | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | | | | REDUCE: (4287), (4294) imply:
% 238.61/48.54 | | | | | | | | | | | | | | | | | | | (4295) $false
% 238.61/48.54 | | | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | | | | CLOSE: (4295) is inconsistent.
% 238.61/48.54 | | | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | | | End of split
% 238.61/48.54 | | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | | Case 2:
% 238.61/48.54 | | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | | | (4296) all_2178_2 = 0 & all_2178_3 = 0
% 238.61/48.54 | | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | | | ALPHA: (4296) implies:
% 238.61/48.54 | | | | | | | | | | | | | | | | | | (4297) all_2178_2 = 0
% 238.61/48.54 | | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4237), (4297) imply:
% 238.61/48.54 | | | | | | | | | | | | | | | | | | (4298) all_2116_2 = 0
% 238.61/48.54 | | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | | | REDUCE: (4265), (4298) imply:
% 238.61/48.54 | | | | | | | | | | | | | | | | | | (4299) $false
% 238.61/48.54 | | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | | | CLOSE: (4299) is inconsistent.
% 238.61/48.54 | | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | | End of split
% 238.61/48.54 | | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | | End of split
% 238.61/48.54 | | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | | End of split
% 238.61/48.54 | | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | | End of split
% 238.61/48.54 | | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | | End of split
% 238.61/48.54 | | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | | End of split
% 238.61/48.54 | | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | | End of split
% 238.61/48.54 | | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | End of split
% 238.61/48.54 | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | End of split
% 238.61/48.54 | | | | | | | | |
% 238.61/48.54 | | | | | | | | Case 2:
% 238.61/48.54 | | | | | | | | |
% 238.61/48.54 | | | | | | | | | (4300) ~ (all_1629_5 = 0) | all_1629_0 = 0
% 238.61/48.54 | | | | | | | | |
% 238.61/48.54 | | | | | | | | | BETA: splitting (4300) gives:
% 238.61/48.54 | | | | | | | | |
% 238.61/48.54 | | | | | | | | | Case 1:
% 238.61/48.54 | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | (4301) ~ (all_1629_5 = 0)
% 238.61/48.54 | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | REDUCE: (2971), (4301) imply:
% 238.61/48.54 | | | | | | | | | | (4302) $false
% 238.61/48.54 | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | CLOSE: (4302) is inconsistent.
% 238.61/48.54 | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | Case 2:
% 238.61/48.54 | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | (4303) all_1629_0 = 0
% 238.61/48.54 | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | COMBINE_EQS: (4189), (4303) imply:
% 238.61/48.54 | | | | | | | | | | (4304) all_1609_0 = 0
% 238.61/48.54 | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | SIMP: (4304) implies:
% 238.61/48.54 | | | | | | | | | | (4305) all_1609_0 = 0
% 238.61/48.54 | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | REDUCE: (1006), (4305) imply:
% 238.61/48.54 | | | | | | | | | | (4306) $false
% 238.61/48.54 | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | | CLOSE: (4306) is inconsistent.
% 238.61/48.54 | | | | | | | | | |
% 238.61/48.54 | | | | | | | | | End of split
% 238.61/48.54 | | | | | | | | |
% 238.61/48.54 | | | | | | | | End of split
% 238.61/48.54 | | | | | | | |
% 238.61/48.55 | | | | | | | End of split
% 238.61/48.55 | | | | | | |
% 238.61/48.55 | | | | | | End of split
% 238.61/48.55 | | | | | |
% 238.61/48.55 | | | | | Case 2:
% 238.61/48.55 | | | | | |
% 238.61/48.56 | | | | | | (4307) ~ (all_1274_3 = all_1077_0)
% 238.61/48.56 | | | | | |
% 238.61/48.56 | | | | | | REDUCE: (2141), (4307) imply:
% 238.61/48.56 | | | | | | (4308) ~ (all_1274_3 = all_892_0)
% 238.61/48.56 | | | | | |
% 238.61/48.56 | | | | | | BETA: splitting (3207) gives:
% 238.61/48.56 | | | | | |
% 238.61/48.56 | | | | | | Case 1:
% 238.61/48.56 | | | | | | |
% 238.61/48.56 | | | | | | | (4309) ~ (all_1964_1 = 0)
% 238.61/48.56 | | | | | | |
% 238.61/48.56 | | | | | | | REDUCE: (4086), (4309) imply:
% 238.61/48.56 | | | | | | | (4310) $false
% 238.61/48.56 | | | | | | |
% 238.61/48.56 | | | | | | | CLOSE: (4310) is inconsistent.
% 238.61/48.56 | | | | | | |
% 238.61/48.56 | | | | | | Case 2:
% 238.61/48.56 | | | | | | |
% 238.61/48.56 | | | | | | | (4311) ( ~ (all_1964_0 = all_1274_4) | all_1285_0 = all_1274_3)
% 238.61/48.56 | | | | | | | & ( ~ (all_1285_0 = all_1274_3) | all_1964_0 =
% 238.61/48.56 | | | | | | | all_1274_4)
% 238.61/48.56 | | | | | | |
% 238.61/48.56 | | | | | | | ALPHA: (4311) implies:
% 238.61/48.56 | | | | | | | (4312) ~ (all_1964_0 = all_1274_4) | all_1285_0 = all_1274_3
% 238.61/48.56 | | | | | | |
% 238.61/48.56 | | | | | | | BETA: splitting (4312) gives:
% 238.61/48.56 | | | | | | |
% 238.61/48.56 | | | | | | | Case 1:
% 238.61/48.56 | | | | | | | |
% 238.61/48.56 | | | | | | | | (4313) ~ (all_1964_0 = all_1274_4)
% 238.61/48.56 | | | | | | | |
% 238.61/48.56 | | | | | | | | REDUCE: (4087), (4313) imply:
% 238.61/48.56 | | | | | | | | (4314) $false
% 238.61/48.56 | | | | | | | |
% 238.61/48.56 | | | | | | | | CLOSE: (4314) is inconsistent.
% 238.61/48.56 | | | | | | | |
% 238.61/48.56 | | | | | | | Case 2:
% 238.61/48.56 | | | | | | | |
% 238.61/48.56 | | | | | | | | (4315) all_1285_0 = all_1274_3
% 238.61/48.56 | | | | | | | |
% 238.61/48.56 | | | | | | | | COMBINE_EQS: (2171), (4315) imply:
% 238.61/48.56 | | | | | | | | (4316) all_1274_3 = all_892_0
% 238.61/48.56 | | | | | | | |
% 238.61/48.56 | | | | | | | | SIMP: (4316) implies:
% 238.61/48.56 | | | | | | | | (4317) all_1274_3 = all_892_0
% 238.61/48.56 | | | | | | | |
% 238.61/48.56 | | | | | | | | REDUCE: (4308), (4317) imply:
% 238.61/48.56 | | | | | | | | (4318) $false
% 238.61/48.56 | | | | | | | |
% 238.61/48.56 | | | | | | | | CLOSE: (4318) is inconsistent.
% 238.61/48.56 | | | | | | | |
% 238.61/48.56 | | | | | | | End of split
% 238.61/48.56 | | | | | | |
% 238.61/48.56 | | | | | | End of split
% 238.61/48.56 | | | | | |
% 238.61/48.56 | | | | | End of split
% 238.61/48.56 | | | | |
% 238.61/48.56 | | | | Case 2:
% 238.61/48.56 | | | | |
% 238.61/48.56 | | | | | (4319) ~ (all_1776_1 = 0)
% 238.61/48.56 | | | | |
% 238.61/48.56 | | | | | REDUCE: (4084), (4319) imply:
% 238.61/48.56 | | | | | (4320) $false
% 238.61/48.56 | | | | |
% 238.61/48.56 | | | | | CLOSE: (4320) is inconsistent.
% 238.61/48.56 | | | | |
% 238.61/48.56 | | | | End of split
% 238.61/48.56 | | | |
% 238.61/48.62 | | | End of split
% 238.61/48.62 | | |
% 238.61/48.62 | | End of split
% 238.61/48.62 | |
% 238.61/48.62 | End of split
% 238.61/48.62 |
% 238.61/48.63 End of proof
% 238.61/48.63 % SZS output end Proof for theBenchmark
% 238.61/48.63
% 238.61/48.63 48046ms
%------------------------------------------------------------------------------