TSTP Solution File: SWW222+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWW222+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 00:49:29 EDT 2023
% Result : Theorem 83.29s 11.90s
% Output : Proof 251.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWW222+1 : TPTP v8.1.2. Released v5.2.0.
% 0.10/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.10/0.31 % Computer : n029.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Sun Aug 27 18:20:11 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.15/0.59 ________ _____
% 0.15/0.59 ___ __ \_________(_)________________________________
% 0.15/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.15/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.15/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.15/0.59
% 0.15/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.15/0.59 (2023-06-19)
% 0.15/0.59
% 0.15/0.59 (c) Philipp Rümmer, 2009-2023
% 0.15/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.15/0.59 Amanda Stjerna.
% 0.15/0.59 Free software under BSD-3-Clause.
% 0.15/0.59
% 0.15/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.15/0.59
% 0.15/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.15/0.60 Running up to 7 provers in parallel.
% 0.15/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.15/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.15/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.15/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.15/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.15/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.15/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 19.63/3.44 Prover 4: Preprocessing ...
% 19.63/3.48 Prover 1: Preprocessing ...
% 19.63/3.60 Prover 0: Preprocessing ...
% 19.63/3.61 Prover 3: Preprocessing ...
% 21.72/3.73 Prover 2: Preprocessing ...
% 21.72/3.73 Prover 6: Preprocessing ...
% 22.46/3.78 Prover 5: Preprocessing ...
% 48.70/7.29 Prover 3: Warning: ignoring some quantifiers
% 49.62/7.41 Prover 3: Constructing countermodel ...
% 49.81/7.45 Prover 1: Warning: ignoring some quantifiers
% 50.49/7.69 Prover 1: Constructing countermodel ...
% 50.49/7.73 Prover 6: Proving ...
% 56.16/8.30 Prover 4: Warning: ignoring some quantifiers
% 58.68/8.63 Prover 4: Constructing countermodel ...
% 67.93/9.93 Prover 0: Proving ...
% 68.95/10.02 Prover 5: Proving ...
% 69.54/10.06 Prover 2: Proving ...
% 70.32/10.19 Prover 2: stopped
% 70.32/10.19 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 76.52/11.09 Prover 7: Preprocessing ...
% 83.29/11.89 Prover 3: proved (11279ms)
% 83.29/11.89
% 83.29/11.90 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 83.29/11.90
% 83.29/11.91 Prover 5: stopped
% 83.29/11.92 Prover 6: stopped
% 83.29/11.95 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 83.29/11.95 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 83.29/11.95 Prover 0: stopped
% 83.29/11.96 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 83.96/11.97 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 91.98/13.18 Prover 8: Preprocessing ...
% 91.98/13.18 Prover 10: Preprocessing ...
% 92.40/13.29 Prover 13: Preprocessing ...
% 94.45/13.36 Prover 11: Preprocessing ...
% 96.38/13.59 Prover 7: Warning: ignoring some quantifiers
% 97.27/13.88 Prover 7: Constructing countermodel ...
% 103.18/14.67 Prover 10: Warning: ignoring some quantifiers
% 105.94/14.89 Prover 10: Constructing countermodel ...
% 106.49/14.94 Prover 8: Warning: ignoring some quantifiers
% 107.35/15.04 Prover 8: Constructing countermodel ...
% 110.85/15.54 Prover 13: Warning: ignoring some quantifiers
% 112.88/15.81 Prover 13: Constructing countermodel ...
% 113.59/15.98 Prover 1: stopped
% 113.59/15.99 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 113.59/16.00 Prover 11: Warning: ignoring some quantifiers
% 114.90/16.04 Prover 13: stopped
% 114.90/16.04 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 115.73/16.24 Prover 11: Constructing countermodel ...
% 125.46/17.55 Prover 19: Preprocessing ...
% 126.25/17.64 Prover 16: Preprocessing ...
% 138.58/19.25 Prover 16: Warning: ignoring some quantifiers
% 139.52/19.36 Prover 16: Constructing countermodel ...
% 139.52/19.45 Prover 19: Warning: ignoring some quantifiers
% 139.52/19.59 Prover 19: Constructing countermodel ...
% 149.81/20.81 Prover 16: stopped
% 168.35/23.23 Prover 19: stopped
% 201.62/27.94 Prover 4: stopped
% 213.36/30.04 Prover 7: stopped
% 241.08/37.20 Prover 8: Found proof (size 2568)
% 241.08/37.20 Prover 8: proved (25238ms)
% 241.08/37.21 Prover 11: stopped
% 244.06/37.70 Prover 10: stopped
% 244.06/37.70
% 244.06/37.70 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 244.06/37.70
% 249.06/42.45 % SZS output start Proof for theBenchmark
% 249.06/42.48 Assumptions after simplification:
% 249.06/42.48 ---------------------------------
% 249.06/42.48
% 249.06/42.48 (arity_Complex__Ocomplex__Groups_Oab__group__add)
% 249.06/42.50 class_Groups_Oab__group__add(tc_Complex_Ocomplex) = 0 &
% 249.06/42.50 $i(tc_Complex_Ocomplex)
% 249.06/42.50
% 249.06/42.50 (arity_Complex__Ocomplex__Groups_Ogroup__add)
% 249.06/42.50 class_Groups_Ogroup__add(tc_Complex_Ocomplex) = 0 & $i(tc_Complex_Ocomplex)
% 249.06/42.50
% 249.06/42.50 (arity_Complex__Ocomplex__RealVector_Oreal__normed__vector)
% 249.06/42.50 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = 0 &
% 249.06/42.50 $i(tc_Complex_Ocomplex)
% 249.06/42.50
% 249.06/42.50 (arity_Complex__Ocomplex__Rings_Ozero__neq__one)
% 249.06/42.50 class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) = 0 & $i(tc_Complex_Ocomplex)
% 249.06/42.50
% 249.06/42.50 (arity_RealDef__Oreal__Int_Onumber__ring)
% 249.06/42.50 class_Int_Onumber__ring(tc_RealDef_Oreal) = 0 & $i(tc_RealDef_Oreal)
% 249.06/42.50
% 249.06/42.50 (arity_RealDef__Oreal__Rings_Olinordered__idom)
% 249.06/42.50 class_Rings_Olinordered__idom(tc_RealDef_Oreal) = 0 & $i(tc_RealDef_Oreal)
% 249.06/42.50
% 249.06/42.50 (conj_0)
% 249.29/42.51 $i(c_Int_OPls) & $i(v_s____) & $i(v_p) & $i(v_z____) & $i(v_wa____) &
% 249.29/42.51 $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 249.29/42.51 ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7:
% 249.29/42.51 $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i]
% 249.29/42.51 : ? [v13: int] : ( ~ (v13 = 0) & c_Int_OBit1(c_Int_OPls) = v9 &
% 249.29/42.51 c_Int_OBit0(v9) = v10 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 249.29/42.51 v10) = v11 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v8, v11) =
% 249.29/42.51 v12 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 &
% 249.29/42.51 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v6 &
% 249.29/42.51 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v7) = v8 &
% 249.29/42.51 c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v1, v2) = v3 &
% 249.29/42.51 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v5, v6) = v7 &
% 249.29/42.51 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 249.29/42.51 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v5 &
% 249.29/42.51 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v12) = v13 & hAPP(v0,
% 249.29/42.51 v_z____) = v2 & hAPP(v0, v_wa____) = v1 & $i(v12) & $i(v11) & $i(v10) &
% 249.29/42.51 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 249.29/42.51 $i(v1) & $i(v0))
% 249.29/42.51
% 249.29/42.51 (fact_Bit1__def)
% 249.29/42.51 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 &
% 249.29/42.51 $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 249.29/42.51 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v3) | ~
% 249.29/42.51 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v2) | ~ $i(v1) |
% 249.29/42.51 (c_Int_OBit1(v1) = v3 & $i(v3))))
% 249.29/42.51
% 249.29/42.51 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J)
% 249.29/42.51 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 249.29/42.51 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 249.29/42.51 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) = 0) | ~
% 249.29/42.51 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) = 0) | ~ $i(v2) |
% 249.29/42.51 ~ $i(v1) | ? [v3: $i] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2,
% 249.29/42.51 v1) = v3 & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3) = 0
% 249.29/42.51 & $i(v3))))
% 249.29/42.51
% 249.29/42.51 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J)
% 249.29/42.52 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 249.29/42.52 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 249.29/42.52 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) = 0) | ~
% 249.29/42.52 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) = 0) | ~ $i(v2) |
% 249.29/42.52 ~ $i(v1) | ? [v3: $i] : (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v2,
% 249.29/42.52 v1) = v3 & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3) = 0
% 249.29/42.52 & $i(v3))))
% 249.29/42.52
% 249.29/42.52 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J)
% 249.29/42.52 $i(tc_Int_Oint) & ? [v0: $i] :
% 249.29/42.52 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v0) = 0 &
% 249.29/42.52 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0))
% 249.29/42.52
% 249.29/42.52 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J)
% 249.29/42.52 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 249.29/42.52 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 &
% 249.29/42.52 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) = 0 &
% 249.29/42.52 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0))
% 249.29/42.52
% 249.29/42.52 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J)
% 249.29/42.52 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 249.29/42.52 ? [v3: $i] : (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3) = 0 &
% 249.29/42.52 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 249.29/42.52 c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 &
% 249.29/42.52 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v3) & $i(v2) & $i(v1) &
% 249.29/42.52 $i(v0))
% 249.29/42.52
% 249.29/42.52 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J)
% 249.29/42.52 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 249.29/42.52 ? [v3: $i] : (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3) = 0 &
% 249.29/42.52 c_Int_OBit1(v1) = v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 249.29/42.52 c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 &
% 249.29/42.52 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v3) & $i(v2) & $i(v1) &
% 249.29/42.52 $i(v0))
% 249.29/42.52
% 249.29/42.52 (fact_Numeral1__eq1__nat)
% 249.29/42.52 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] :
% 249.29/42.52 (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & c_Int_OBit1(c_Int_OPls) = v1 &
% 249.29/42.52 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v0 & $i(v1) & $i(v0))
% 249.29/42.53
% 249.29/42.53 (fact_Pls__def)
% 249.29/42.53 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Int_OPls & $i(tc_Int_Oint) &
% 249.29/42.53 $i(c_Int_OPls)
% 249.29/42.53
% 249.29/42.53 (fact_Suc3__eq__add__3)
% 249.29/42.53 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 249.29/42.53 (c_Int_OBit1(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 249.29/42.53 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 249.29/42.53 $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 249.29/42.53 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v3) = v4) | ~ $i(v3) | ?
% 249.29/42.53 [v5: $i] : ? [v6: $i] : (c_Nat_OSuc(v6) = v4 & c_Nat_OSuc(v5) = v6 &
% 249.29/42.53 c_Nat_OSuc(v3) = v5 & $i(v6) & $i(v5) & $i(v4))))
% 249.29/42.53
% 249.29/42.53 (fact_Suc__diff__eq__diff__pred)
% 249.29/42.53 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 249.29/42.53 (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 249.29/42.53 v1) = v2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = v0
% 249.29/42.53 & $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 249.29/42.53 [v6: $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v4, v2) = v5) |
% 249.29/42.53 ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v5) = v6) | ~ $i(v4) |
% 249.29/42.53 ~ $i(v3) | ? [v7: any] : ? [v8: $i] : ? [v9: $i] : (c_Nat_OSuc(v3) = v8
% 249.29/42.53 & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v8, v4) = v9 &
% 249.29/42.53 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v4) = v7 & $i(v9) &
% 249.29/42.53 $i(v8) & ( ~ (v7 = 0) | v9 = v6))))
% 249.29/42.53
% 249.29/42.53 (fact__0960_A_060_Acmod_A_Iw_A_N_Az_J_A_G_Acmod_A_Iw_A_N_Az_J_A_060_Ad_061_061_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)
% 249.29/42.54 $i(c_Int_OPls) & $i(v_s____) & $i(v_p) & $i(v_d____) & $i(v_z____) &
% 249.29/42.54 $i(v_wa____) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 249.29/42.54 ? [v1: $i] : ? [v2: $i] : ? [v3: any] : ? [v4: any] : ? [v5: $i] : ? [v6:
% 249.29/42.54 $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i]
% 249.29/42.54 : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] :
% 249.29/42.54 ? [v17: $i] : ? [v18: any] : (c_Int_OBit1(c_Int_OPls) = v14 &
% 249.29/42.54 c_Int_OBit0(v14) = v15 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 249.29/42.54 v15) = v16 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v13, v16) =
% 249.29/42.54 v17 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 249.29/42.54 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v5 &
% 249.29/42.54 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v11 &
% 249.29/42.54 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v12) = v13 &
% 249.29/42.54 c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v6, v7) = v8 &
% 249.29/42.54 c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v_wa____, v_z____) = v1 &
% 249.29/42.54 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v10, v11) = v12 &
% 249.29/42.54 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v8) = v9 &
% 249.29/42.54 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v7) = v10 &
% 249.29/42.54 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 &
% 249.29/42.54 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v17) = v18 &
% 249.29/42.54 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v_d____) = v4 &
% 249.29/42.54 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) = v3 & hAPP(v5,
% 249.29/42.54 v_z____) = v7 & hAPP(v5, v_wa____) = v6 & $i(v17) & $i(v16) & $i(v15) &
% 249.29/42.54 $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 249.29/42.54 $i(v6) & $i(v5) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v4 = 0) | ~ (v3 = 0) |
% 249.29/42.54 v18 = 0))
% 249.29/42.54
% 249.29/42.54 (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)
% 249.29/42.54 $i(c_Int_OPls) & $i(v_s____) & $i(v_p) & $i(v_z____) & $i(tc_Complex_Ocomplex)
% 249.29/42.54 & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i]
% 249.29/42.54 : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ?
% 249.29/42.54 [v9: $i] : ? [v10: $i] : (c_Int_OBit1(c_Int_OPls) = v7 & c_Int_OBit0(v7) = v8
% 249.29/42.54 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v8) = v9 &
% 249.29/42.54 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v9) = v10 &
% 249.29/42.54 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 249.29/42.54 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v1 &
% 249.29/42.54 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v4 &
% 249.29/42.54 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v6 &
% 249.29/42.54 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v4) = v5 &
% 249.29/42.54 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 & hAPP(v1,
% 249.29/42.54 v_z____) = v2 & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 249.29/42.54 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ? [v11: $i] :
% 249.29/42.54 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v11) = 0 & $i(v11) & !
% 249.29/42.54 [v12: $i] : ! [v13: $i] : ! [v14: $i] : ( ~
% 249.29/42.54 (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v12, v_z____) = v13)
% 249.29/42.54 | ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v13) = v14) |
% 249.29/42.55 ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v14, v11) = 0) | ~
% 249.29/42.55 $i(v12) | ? [v15: any] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] :
% 249.29/42.55 ? [v19: any] : (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v16,
% 249.29/42.55 v2) = v17 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 249.29/42.55 v17) = v18 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v18,
% 249.29/42.55 v10) = v19 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 249.29/42.55 v14) = v15 & hAPP(v1, v12) = v16 & $i(v18) & $i(v17) & $i(v16) & ( ~
% 249.29/42.55 (v15 = 0) | v19 = 0)))))
% 249.29/42.55
% 249.29/42.55 (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)
% 249.29/42.55 $i(v_r) & $i(tc_Nat_Onat) & $i(v_s____) & $i(v_p) & $i(tc_Complex_Ocomplex) &
% 249.29/42.55 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 249.29/42.55 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v2 &
% 249.29/42.55 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 &
% 249.29/42.55 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v1 & $i(v2) &
% 249.29/42.55 $i(v1) & $i(v0) & ? [v3: $i] : ($i(v3) & ! [v4: $i] : ! [v5: $i] : !
% 249.29/42.55 [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : !
% 249.29/42.55 [v11: $i] : ! [v12: int] : (v12 = 0 | ~ (c_Nat_OSuc(v4) = v8) | ~
% 249.29/42.55 (c_RealDef_Oreal(tc_Nat_Onat, v8) = v9) | ~
% 249.29/42.55 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v10) = v11) | ~
% 249.29/42.55 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v9) = v10) | ~
% 249.29/42.55 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = v7) | ~
% 249.29/42.55 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v11) = v12) | ~
% 249.29/42.55 (hAPP(v3, v4) = v5) | ~ (hAPP(v0, v5) = v6) | ~ $i(v4)) & ! [v4: $i]
% 249.29/42.55 : ! [v5: $i] : ( ~ (hAPP(v3, v4) = v5) | ~ $i(v4) | ? [v6: $i] :
% 249.29/42.55 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v_r) = 0 &
% 249.29/42.55 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6 &
% 249.29/42.55 $i(v6)))))
% 249.29/42.55
% 249.29/42.55 (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)
% 249.29/42.55 $i(v_r) & $i(tc_Nat_Onat) & $i(v_s____) & $i(v_p) & $i(tc_Complex_Ocomplex) &
% 249.29/42.55 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 249.29/42.55 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v2 &
% 249.29/42.55 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 &
% 249.29/42.55 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v1 & $i(v2) &
% 249.29/42.55 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~ (c_Nat_OSuc(v3) = v4) | ~
% 249.29/42.55 $i(v3) | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 249.29/42.55 (c_RealDef_Oreal(tc_Nat_Onat, v4) = v5 &
% 249.29/42.55 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v6) = v7 &
% 249.29/42.55 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v5) = v6 & $i(v7)
% 249.29/42.55 & $i(v6) & $i(v5) & ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11:
% 249.29/42.55 $i] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9, v_r) =
% 249.29/42.55 0 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v10) = v11 &
% 249.29/42.55 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v8) = v9 &
% 249.29/42.55 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v7) = 0 &
% 249.29/42.55 hAPP(v0, v8) = v10 & $i(v11) & $i(v10) & $i(v9) & $i(v8)))))
% 249.29/42.55
% 249.29/42.55 (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)
% 249.29/42.56 $i(c_Int_OPls) & $i(v_s____) & $i(v_p) & $i(v_z____) & $i(tc_Complex_Ocomplex)
% 249.29/42.56 & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i]
% 249.29/42.56 : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ?
% 249.29/42.56 [v9: $i] : ? [v10: $i] : (c_Int_OBit1(c_Int_OPls) = v7 & c_Int_OBit0(v7) = v8
% 249.29/42.56 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v8) = v9 &
% 249.29/42.56 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v9) = v10 &
% 249.29/42.56 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 249.29/42.56 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v1 &
% 249.29/42.56 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v4 &
% 249.29/42.56 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v6 &
% 249.29/42.56 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v4) = v5 &
% 249.29/42.56 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 & hAPP(v1,
% 249.29/42.56 v_z____) = v2 & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 249.29/42.56 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ? [v11: $i] :
% 249.29/42.56 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v11) = 0 & $i(v11) & !
% 249.29/42.56 [v12: $i] : ! [v13: $i] : ! [v14: $i] : ( ~
% 249.29/42.56 (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v12, v_z____) = v13)
% 249.29/42.56 | ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v13) = v14) |
% 249.29/42.56 ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v14, v11) = 0) | ~
% 249.29/42.56 $i(v12) | ? [v15: any] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] :
% 249.29/42.56 ? [v19: any] : (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v16,
% 249.29/42.56 v2) = v17 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 249.29/42.56 v17) = v18 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v18,
% 249.29/42.56 v10) = v19 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 249.29/42.56 v14) = v15 & hAPP(v1, v12) = v16 & $i(v18) & $i(v17) & $i(v16) & ( ~
% 249.29/42.56 (v15 = 0) | v19 = 0)))))
% 249.29/42.56
% 249.29/42.56 (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)
% 249.29/42.56 $i(v_r) & $i(v_s____) & $i(v_p) & $i(tc_Complex_Ocomplex) &
% 249.29/42.56 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 249.29/42.56 (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 &
% 249.29/42.56 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v1 & $i(v1) &
% 249.29/42.56 $i(v0) & ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 249.29/42.56 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) = v3) | ~ $i(v2)
% 249.29/42.56 | ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : (
% 249.29/42.56 ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v7) = v8) | ~
% 249.29/42.56 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v6) = v7) | ~
% 249.29/42.56 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6) | ~
% 249.29/42.56 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v2) = 0) | ~
% 249.29/42.56 (hAPP(v0, v4) = v5) | ~ $i(v4) | ? [v9: $i] : ? [v10: int] : ( ~ (v10
% 249.29/42.56 = 0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9, v_r)
% 249.29/42.56 = v10 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v9
% 249.29/42.56 & $i(v9)))) & ! [v2: $i] : ( ~
% 249.29/42.56 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) = 0) | ~ $i(v2)
% 249.29/42.56 | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ?
% 249.29/42.56 [v8: $i] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v_r) =
% 249.29/42.56 0 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v7) = v8 &
% 249.29/42.56 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v6) = v7 &
% 249.29/42.56 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6 &
% 249.29/42.56 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 249.29/42.56 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v2) = 0 & hAPP(v0,
% 249.29/42.56 v3) = v5 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3))))
% 249.29/42.56
% 249.29/42.56 (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)
% 249.29/42.57 $i(v_r) & $i(v_p) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0:
% 249.29/42.57 $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 249.29/42.57 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & $i(v1) & $i(v0) & !
% 249.29/42.57 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: int] : (v5 = 0 | ~
% 249.29/42.57 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v1) = v5) | ~
% 249.29/42.57 (hAPP(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ? [v6: $i] : ? [v7: any] :
% 249.29/42.57 ? [v8: $i] : ? [v9: $i] :
% 249.29/42.57 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v_r) = v7 &
% 249.29/42.57 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v9 &
% 249.29/42.57 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v8 &
% 249.29/42.57 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v6 & $i(v9) &
% 249.29/42.57 $i(v8) & $i(v6) & ( ~ (v9 = v8) | ~ (v7 = 0)))))
% 249.29/42.57
% 249.29/42.57 (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)
% 249.29/42.57 $i(v_r) & $i(v_s____) & $i(v_p) & $i(tc_Complex_Ocomplex) &
% 249.29/42.57 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: any] :
% 249.29/42.57 (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 &
% 249.29/42.57 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v1 &
% 249.29/42.57 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v1) = v2 & $i(v1) &
% 249.29/42.57 $i(v0) & ((v2 = 0 & ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 249.29/42.57 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v_r) = 0 &
% 249.29/42.57 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6 &
% 249.29/42.57 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 249.29/42.57 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v1) = 0 & hAPP(v0,
% 249.29/42.57 v3) = v5 & $i(v6) & $i(v5) & $i(v4) & $i(v3))) | ( ~ (v2 = 0) & !
% 249.29/42.57 [v3: $i] : ! [v4: $i] : ( ~ (hAPP(v0, v3) = v4) | ~ $i(v3) | ? [v5:
% 249.29/42.57 $i] : ? [v6: any] : ? [v7: $i] : ? [v8: any] :
% 249.29/42.57 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v_r) = v6 &
% 249.29/42.57 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v7 &
% 249.29/42.57 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v5 &
% 249.29/42.57 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v1) = v8 &
% 249.29/42.57 $i(v7) & $i(v5) & ( ~ (v8 = 0) | ~ (v6 = 0)))))))
% 249.29/42.57
% 249.29/42.57 (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)
% 249.29/42.57 $i(v_r) & $i(v_p) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0:
% 249.29/42.57 $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 249.29/42.57 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v_r) = 0 &
% 249.29/42.57 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 &
% 249.29/42.57 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v2 &
% 249.29/42.57 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v5) = v4 &
% 249.29/42.57 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v4) = v5 &
% 249.29/42.57 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 249.29/42.57 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v1 & hAPP(v2, v0)
% 249.29/42.57 = v3 & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 249.29/42.57
% 249.29/42.57 (fact_abs__add__one__gt__zero)
% 249.29/42.57 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 249.29/42.57 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 249.29/42.57 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 249.29/42.57 [v2: $i] : ! [v3: $i] : ( ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,
% 249.29/42.57 v2) = v3) | ~ $i(v2) | ? [v4: $i] :
% 249.29/42.57 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v3) = v4 &
% 249.29/42.57 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) = 0 & $i(v4))))
% 249.29/42.57
% 249.29/42.57 (fact_abs__norm__cancel)
% 249.29/42.57 $i(tc_RealDef_Oreal) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 249.29/42.57 (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 249.29/42.57 [v3: any] : ? [v4: $i] : (class_RealVector_Oreal__normed__vector(v1) = v3 &
% 249.29/42.57 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v4 & $i(v4) & ( ~ (v3 =
% 249.29/42.57 0) | v4 = v2)))
% 249.29/42.57
% 249.29/42.57 (fact_abs__real__def)
% 249.29/42.57 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 249.29/42.57 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 249.29/42.57 ! [v2: int] : (v2 = 0 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 249.29/42.57 v1, v0) = v2) | ~ $i(v1) |
% 249.29/42.57 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v1) & ! [v1: $i] : ( ~
% 249.29/42.57 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) = 0) | ~ $i(v1)
% 249.29/42.57 | ? [v2: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) =
% 249.29/42.57 v2 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v2 & $i(v2))))
% 249.29/42.57
% 249.63/42.57 (fact_abs__zmult__eq__1)
% 249.63/42.58 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 &
% 249.63/42.58 $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 249.63/42.58 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v2, v1) = v3) | ~ $i(v2) | ~
% 249.63/42.58 $i(v1) | ? [v4: $i] : ? [v5: $i] :
% 249.63/42.58 (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v3) = v4 &
% 249.63/42.58 c_Groups_Oabs__class_Oabs(tc_Int_Oint, v2) = v5 & $i(v5) & $i(v4) & ( ~
% 249.63/42.58 (v4 = v0) | v5 = v0))))
% 249.63/42.58
% 249.63/42.58 (fact_add1__zle__eq)
% 249.63/42.58 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 &
% 249.63/42.58 $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 |
% 249.63/42.58 ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v0) = v3) | ~
% 249.63/42.58 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v1) = v4) | ~ $i(v2)
% 249.63/42.58 | ~ $i(v1) | ? [v5: int] : ( ~ (v5 = 0) &
% 249.63/42.58 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v5)) & ! [v1: $i]
% 249.63/42.58 : ! [v2: $i] : ! [v3: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint,
% 249.63/42.58 v2, v0) = v3) | ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3,
% 249.63/42.58 v1) = 0) | ~ $i(v2) | ~ $i(v1) |
% 249.63/42.58 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = 0))
% 249.63/42.58
% 249.63/42.58 (fact_add__2__eq__Suc)
% 249.63/42.58 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 249.63/42.58 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 249.63/42.58 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 249.63/42.58 $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 249.63/42.58 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v3) = v4) | ~ $i(v3) | ?
% 249.63/42.58 [v5: $i] : (c_Nat_OSuc(v5) = v4 & c_Nat_OSuc(v3) = v5 & $i(v5) & $i(v4))))
% 249.63/42.58
% 249.63/42.58 (fact_add__2__eq__Suc_H)
% 249.63/42.58 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 249.63/42.58 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 249.63/42.58 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 249.63/42.58 $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 249.63/42.58 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v2) = v4) | ~ $i(v3) | ?
% 249.63/42.58 [v5: $i] : (c_Nat_OSuc(v5) = v4 & c_Nat_OSuc(v3) = v5 & $i(v5) & $i(v4))))
% 249.63/42.58
% 249.63/42.58 (fact_add__special_I2_J)
% 249.63/42.58 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0
% 249.63/42.58 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 249.63/42.58 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v3) | ~
% 249.63/42.58 (c_Int_Onumber__class_Onumber__of(v2, v3) = v4) | ~ $i(v2) | ~ $i(v1) |
% 249.63/42.58 ? [v5: any] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 249.63/42.58 (c_Groups_Oone__class_Oone(v2) = v6 & c_Groups_Oplus__class_Oplus(v2, v6,
% 249.63/42.58 v7) = v8 & class_Int_Onumber__ring(v2) = v5 &
% 249.63/42.58 c_Int_Onumber__class_Onumber__of(v2, v1) = v7 & $i(v8) & $i(v7) & $i(v6)
% 249.63/42.58 & ( ~ (v5 = 0) | v8 = v4))))
% 249.63/42.58
% 249.63/42.58 (fact_add__special_I3_J)
% 249.63/42.58 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0
% 249.63/42.58 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 249.63/42.58 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~
% 249.63/42.58 (c_Int_Onumber__class_Onumber__of(v2, v3) = v4) | ~ $i(v2) | ~ $i(v1) |
% 249.63/42.58 ? [v5: any] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 249.63/42.58 (c_Groups_Oone__class_Oone(v2) = v7 & c_Groups_Oplus__class_Oplus(v2, v6,
% 249.63/42.58 v7) = v8 & class_Int_Onumber__ring(v2) = v5 &
% 249.63/42.58 c_Int_Onumber__class_Onumber__of(v2, v1) = v6 & $i(v8) & $i(v7) & $i(v6)
% 249.63/42.58 & ( ~ (v5 = 0) | v8 = v4))))
% 249.63/42.58
% 249.63/42.58 (fact_arctan)
% 249.63/42.59 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 249.63/42.59 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 249.63/42.59 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 249.63/42.59 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 249.63/42.59 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Transcendental_Opi, v2)
% 249.63/42.59 = v3 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v4 & $i(v4) &
% 249.63/42.59 $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ( ~
% 249.63/42.59 (c_Transcendental_Oarctan(v5) = v6) | ~ $i(v5) |
% 249.63/42.59 c_Transcendental_Otan(v6) = v5) & ! [v5: $i] : ! [v6: $i] : ( ~
% 249.63/42.59 (c_Transcendental_Oarctan(v5) = v6) | ~ $i(v5) |
% 249.63/42.59 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v3) = 0) & ! [v5: $i]
% 249.63/42.59 : ! [v6: $i] : ( ~ (c_Transcendental_Oarctan(v5) = v6) | ~ $i(v5) |
% 249.63/42.59 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6) = 0))
% 249.63/42.59
% 249.63/42.59 (fact_arctan1__eq__pi4)
% 249.63/42.59 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 249.63/42.59 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 249.63/42.59 (c_Transcendental_Oarctan(v0) = v1 &
% 249.63/42.59 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & c_Int_OBit1(c_Int_OPls) =
% 249.63/42.59 v2 & c_Int_OBit0(v3) = v4 & c_Int_OBit0(v2) = v3 &
% 249.63/42.59 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v4) = v5 &
% 249.63/42.59 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Transcendental_Opi, v5)
% 249.63/42.59 = v1 & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 249.63/42.59
% 249.63/42.59 (fact_arctan__bounded)
% 249.63/42.59 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 249.63/42.59 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 249.63/42.59 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 249.63/42.59 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 249.63/42.59 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Transcendental_Opi, v2)
% 249.63/42.59 = v3 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v4 & $i(v4) &
% 249.63/42.59 $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ( ~
% 249.63/42.59 (c_Transcendental_Oarctan(v5) = v6) | ~ $i(v5) |
% 249.63/42.59 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v3) = 0) & ! [v5: $i]
% 249.63/42.59 : ! [v6: $i] : ( ~ (c_Transcendental_Oarctan(v5) = v6) | ~ $i(v5) |
% 249.63/42.59 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6) = 0))
% 249.63/42.59
% 249.63/42.59 (fact_arctan__inverse)
% 249.63/42.59 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 249.63/42.59 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 249.63/42.59 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & c_Int_OBit1(c_Int_OPls) =
% 249.63/42.59 v2 & c_Int_OBit0(v2) = v3 &
% 249.63/42.59 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v3) = v4 &
% 249.63/42.59 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v4) & $i(v3) &
% 249.63/42.59 $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8:
% 249.63/42.59 $i] : ! [v9: $i] : ! [v10: $i] : (v5 = v0 | ~
% 249.63/42.59 (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v5) = v6) | ~
% 249.63/42.59 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v6, c_Transcendental_Opi)
% 249.63/42.59 = v7) | ~ (c_Transcendental_Oarctan(v5) = v9) | ~
% 249.63/42.59 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v7, v4) = v8) | ~
% 249.63/42.59 (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v8, v9) = v10) | ~
% 249.63/42.59 $i(v5) | ? [v11: $i] : (c_Transcendental_Oarctan(v11) = v10 &
% 249.63/42.59 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v5) = v11 &
% 249.63/42.59 $i(v11) & $i(v10))))
% 249.63/42.59
% 249.63/42.59 (fact_arctan__lbound)
% 249.63/42.59 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 249.63/42.59 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 249.63/42.59 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 249.63/42.59 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 249.63/42.59 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Transcendental_Opi, v2)
% 249.63/42.59 = v3 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v4 & $i(v4) &
% 249.63/42.59 $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ( ~
% 249.63/42.59 (c_Transcendental_Oarctan(v5) = v6) | ~ $i(v5) |
% 249.63/42.59 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6) = 0))
% 249.63/42.59
% 249.63/42.59 (fact_arctan__tan)
% 249.63/42.59 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 249.63/42.59 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 249.63/42.59 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 249.63/42.59 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 249.63/42.59 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Transcendental_Opi, v2)
% 249.63/42.59 = v3 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v4 & $i(v4) &
% 249.63/42.59 $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ( ~
% 249.63/42.59 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v5) = 0) | ~ $i(v5)
% 249.63/42.59 | ? [v6: any] : ? [v7: $i] : ? [v8: $i] : (c_Transcendental_Otan(v5) =
% 249.63/42.59 v7 & c_Transcendental_Oarctan(v7) = v8 &
% 249.63/42.59 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v3) = v6 & $i(v8) &
% 249.63/42.59 $i(v7) & ( ~ (v6 = 0) | v8 = v5))))
% 249.63/42.59
% 249.63/42.59 (fact_arctan__ubound)
% 249.63/42.60 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 249.63/42.60 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 249.63/42.60 c_Int_OBit0(v0) = v1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 249.63/42.60 v1) = v2 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 249.63/42.60 c_Transcendental_Opi, v2) = v3 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & !
% 249.63/42.60 [v4: $i] : ! [v5: $i] : ( ~ (c_Transcendental_Oarctan(v4) = v5) | ~ $i(v4)
% 249.63/42.60 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v3) = 0))
% 249.63/42.60
% 249.63/42.60 (fact_arctan__zero__zero)
% 249.63/42.60 $i(tc_RealDef_Oreal) & ? [v0: $i] : (c_Transcendental_Oarctan(v0) = v0 &
% 249.63/42.60 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0))
% 249.63/42.60
% 249.63/42.60 (fact_bin__less__0__simps_I1_J)
% 249.63/42.60 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) &
% 249.63/42.60 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 &
% 249.63/42.60 c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) = v1 & $i(v0))
% 249.63/42.60
% 249.63/42.60 (fact_bin__less__0__simps_I3_J)
% 249.63/42.60 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 249.63/42.60 & $i(v0) & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 249.63/42.60 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = v2) | ~ $i(v1) | ?
% 249.63/42.60 [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) & c_Int_OBit0(v1) = v3 &
% 249.63/42.60 c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0) = v4 & $i(v3))) & !
% 249.63/42.60 [v1: $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = 0) | ~
% 249.63/42.60 $i(v1) | ? [v2: $i] : (c_Int_OBit0(v1) = v2 &
% 249.63/42.60 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) = 0 & $i(v2))))
% 249.63/42.60
% 249.63/42.60 (fact_bin__less__0__simps_I4_J)
% 249.63/42.60 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 249.63/42.60 & $i(v0) & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 249.63/42.60 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = v2) | ~ $i(v1) | ?
% 249.63/42.60 [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) & c_Int_OBit1(v1) = v3 &
% 249.63/42.60 c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0) = v4 & $i(v3))) & !
% 249.63/42.60 [v1: $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = 0) | ~
% 249.63/42.60 $i(v1) | ? [v2: $i] : (c_Int_OBit1(v1) = v2 &
% 249.63/42.60 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) = 0 & $i(v2))))
% 249.63/42.60
% 249.63/42.60 (fact_calculation)
% 249.63/42.60 $i(v_r) & $i(v_p) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0:
% 249.63/42.60 $i] : ? [v1: any] : ? [v2: $i] :
% 249.63/42.60 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v_r) = v1 &
% 249.63/42.60 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 249.63/42.60 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v2 & $i(v2) & $i(v0) & (v1 =
% 249.63/42.60 0 | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 249.63/42.60 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 & hAPP(v2,
% 249.63/42.60 v3) = v4 & $i(v5) & $i(v4) & $i(v3) & ! [v6: $i] : ! [v7: $i] : !
% 249.63/42.60 [v8: $i] : ! [v9: int] : (v9 = 0 | ~
% 249.63/42.60 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v8) = v9) |
% 249.63/42.60 ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v7) = v8) | ~
% 249.63/42.60 (hAPP(v2, v6) = v7) | ~ $i(v6) | ? [v10: $i] : ? [v11: int] : ( ~
% 249.63/42.60 (v11 = 0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10,
% 249.63/42.60 v_r) = v11 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 249.63/42.60 v6) = v10 & $i(v10))))))
% 249.63/42.60
% 249.63/42.60 (fact_cos__arctan__not__zero)
% 249.63/42.60 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 249.63/42.60 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 249.63/42.60 ! [v2: $i] : ( ~ (c_Transcendental_Oarctan(v1) = v2) | ~ $i(v1) | ? [v3:
% 249.63/42.60 $i] : ( ~ (v3 = v0) & c_Transcendental_Ocos(v2) = v3 & $i(v3))))
% 249.63/42.60
% 249.63/42.60 (fact_cos__gt__zero__pi)
% 249.63/42.61 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 249.63/42.61 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 249.63/42.61 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 249.63/42.61 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 249.63/42.61 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Transcendental_Opi, v2)
% 249.63/42.61 = v3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v5 &
% 249.63/42.61 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v4 & $i(v5) & $i(v4)
% 249.63/42.61 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v6: $i] : ( ~
% 249.63/42.61 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6) = 0) | ~ $i(v6)
% 249.63/42.61 | ? [v7: any] : ? [v8: $i] : ? [v9: any] : (c_Transcendental_Ocos(v6) =
% 249.63/42.61 v8 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v3) = v7 &
% 249.63/42.61 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v8) = v9 & $i(v8) &
% 249.63/42.61 ( ~ (v7 = 0) | v9 = 0))))
% 249.63/42.61
% 249.63/42.61 (fact_cos__monotone__0__pi_H)
% 249.63/42.61 $i(c_Transcendental_Opi) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 249.63/42.61 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 249.63/42.61 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: int] : (v5 = 0 | ~
% 249.63/42.61 (c_Transcendental_Ocos(v2) = v4) | ~ (c_Transcendental_Ocos(v1) = v3) |
% 249.63/42.61 ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v4) = v5) | ~
% 249.63/42.61 $i(v2) | ~ $i(v1) | ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 249.63/42.61 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1) = v7 &
% 249.63/42.61 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 249.63/42.61 c_Transcendental_Opi) = v8 &
% 249.63/42.61 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) = v6 & ( ~
% 249.63/42.61 (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0)))))
% 249.63/42.61
% 249.63/42.61 (fact_cos__zero)
% 249.63/42.61 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : (c_Transcendental_Ocos(v0)
% 249.63/42.61 = v1 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 249.63/42.61 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0))
% 249.63/42.61
% 249.63/42.61 (fact_d_I1_J)
% 249.63/42.61 $i(v_d____) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 249.63/42.61 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 249.63/42.61 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_d____) = 0 & $i(v0))
% 249.63/42.61
% 249.63/42.61 (fact_d_I2_J)
% 249.63/42.61 $i(c_Int_OPls) & $i(v_s____) & $i(v_p) & $i(v_d____) & $i(v_z____) &
% 249.63/42.61 $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 249.63/42.61 ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7:
% 249.63/42.61 $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : (c_Int_OBit1(c_Int_OPls) =
% 249.63/42.61 v7 & c_Int_OBit0(v7) = v8 &
% 249.63/42.61 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v8) = v9 &
% 249.63/42.61 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v9) = v10 &
% 249.63/42.61 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 249.63/42.61 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v1 &
% 249.63/42.61 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v4 &
% 249.63/42.61 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v6 &
% 249.63/42.61 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v4) = v5 &
% 249.63/42.61 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 & hAPP(v1,
% 249.63/42.61 v_z____) = v2 & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 249.63/42.61 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v11: $i] : ! [v12: $i] : (
% 249.63/42.61 ~ (hAPP(v1, v11) = v12) | ~ $i(v11) | ? [v13: $i] : ? [v14: $i] : ?
% 249.63/42.61 [v15: any] : ? [v16: any] : ? [v17: $i] : ? [v18: $i] : ? [v19: any] :
% 249.63/42.61 (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v12, v2) = v17 &
% 249.63/42.61 c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v11, v_z____) = v13 &
% 249.63/42.61 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v17) = v18 &
% 249.63/42.61 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v13) = v14 &
% 249.63/42.61 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v18, v10) = v19 &
% 249.63/42.61 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v14, v_d____) = v16 &
% 249.63/42.61 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v14) = v15 & $i(v18)
% 249.63/42.61 & $i(v17) & $i(v14) & $i(v13) & ( ~ (v16 = 0) | ~ (v15 = 0) | v19 =
% 249.63/42.61 0))))
% 249.63/42.61
% 249.63/42.61 (fact_diff__special_I1_J)
% 249.63/42.61 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0
% 249.63/42.61 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 249.63/42.61 $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v3) = v4) | ~
% 249.63/42.61 (c_Int_Onumber__class_Onumber__of(v2, v4) = v5) | ~
% 249.63/42.61 (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v3) | ~ $i(v2) | ~
% 249.63/42.61 $i(v1) | ? [v6: any] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 249.63/42.61 (c_Groups_Oone__class_Oone(v2) = v7 & class_Int_Onumber__ring(v2) = v6 &
% 249.63/42.61 c_Int_Onumber__class_Onumber__of(v2, v1) = v8 &
% 249.63/42.61 c_Groups_Ominus__class_Ominus(v2, v7, v8) = v9 & $i(v9) & $i(v8) &
% 249.63/42.61 $i(v7) & ( ~ (v6 = 0) | v9 = v5))))
% 249.63/42.61
% 249.63/42.61 (fact_diff__special_I2_J)
% 249.63/42.62 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] :
% 249.63/42.62 (c_Int_OBit1(c_Int_OPls) = v0 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,
% 249.63/42.62 v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 249.63/42.62 [v5: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v4) | ~
% 249.63/42.62 (c_Int_Onumber__class_Onumber__of(v3, v4) = v5) | ~ $i(v3) | ~ $i(v2) |
% 249.63/42.62 ? [v6: any] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 249.63/42.62 (c_Groups_Oone__class_Oone(v3) = v8 & class_Int_Onumber__ring(v3) = v6 &
% 249.63/42.62 c_Int_Onumber__class_Onumber__of(v3, v2) = v7 &
% 249.63/42.62 c_Groups_Ominus__class_Ominus(v3, v7, v8) = v9 & $i(v9) & $i(v8) &
% 249.63/42.62 $i(v7) & ( ~ (v6 = 0) | v9 = v5))))
% 249.63/42.62
% 249.63/42.62 (fact_divide__Numeral1)
% 249.63/42.62 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & !
% 249.63/42.62 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~
% 249.63/42.62 (c_Int_Onumber__class_Onumber__of(v2, v0) = v3) | ~
% 249.63/42.62 (c_Rings_Oinverse__class_Odivide(v2, v1, v3) = v4) | ~ $i(v2) | ~ $i(v1)
% 249.63/42.62 | ? [v5: any] : ? [v6: any] : (class_Fields_Ofield(v2) = v5 &
% 249.63/42.62 class_Int_Onumber__ring(v2) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0)))))
% 249.63/42.62
% 249.63/42.62 (fact_divide__numeral__1)
% 249.63/42.62 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & !
% 249.63/42.62 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~
% 249.63/42.62 (c_Int_Onumber__class_Onumber__of(v2, v0) = v3) | ~
% 249.63/42.62 (c_Rings_Oinverse__class_Odivide(v2, v1, v3) = v4) | ~ $i(v2) | ~ $i(v1)
% 249.63/42.62 | ? [v5: any] : ? [v6: any] : (class_Fields_Ofield(v2) = v5 &
% 249.63/42.62 class_Int_Onumber__ring(v2) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0)))))
% 249.63/42.62
% 249.63/42.62 (fact_e)
% 249.63/42.62 $i(v_s____) & $i(v_p) & $i(v_z____) & $i(tc_Complex_Ocomplex) &
% 249.63/42.62 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 249.63/42.62 ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 249.63/42.62 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 249.63/42.62 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v1 &
% 249.63/42.62 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v4 &
% 249.63/42.62 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v6 &
% 249.63/42.62 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v4) = v5 &
% 249.63/42.62 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 &
% 249.63/42.62 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v6) = 0 & hAPP(v1,
% 249.63/42.62 v_z____) = v2 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 249.63/42.62 $i(v0))
% 249.63/42.62
% 249.63/42.62 (fact_e2)
% 249.63/42.62 $i(c_Int_OPls) & $i(v_s____) & $i(v_p) & $i(v_z____) & $i(tc_Complex_Ocomplex)
% 249.63/42.62 & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i]
% 249.63/42.62 : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ?
% 249.63/42.62 [v9: $i] : ? [v10: $i] : (c_Int_OBit1(c_Int_OPls) = v7 & c_Int_OBit0(v7) = v8
% 249.63/42.62 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v8) = v9 &
% 249.63/42.62 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v9) = v10 &
% 249.63/42.62 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 249.63/42.62 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v1 &
% 249.63/42.62 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v4 &
% 249.63/42.62 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v6 &
% 249.63/42.62 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v4) = v5 &
% 249.63/42.62 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 &
% 249.63/42.62 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v10) = 0 & hAPP(v1,
% 249.63/42.62 v_z____) = v2 & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 249.63/42.62 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 249.63/42.62
% 249.63/42.62 (fact_eq__divide__2__times__iff)
% 249.63/42.62 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 249.63/42.62 $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 249.63/42.62 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) &
% 249.63/42.62 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 249.63/42.62 [v7: $i] : ! [v8: $i] : (v8 = v5 | ~
% 249.63/42.62 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v5) = v6) | ~
% 249.63/42.62 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v3) = v7) | ~
% 249.63/42.62 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v4, v7) = v8) | ~
% 249.63/42.62 $i(v5) | ~ $i(v4) | ~ $i(v3) | ? [v9: $i] : ( ~ (v9 = v6) &
% 249.63/42.62 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v4, v3) = v9 &
% 249.63/42.62 $i(v9))) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 249.63/42.62 [v7: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v5) =
% 249.63/42.62 v7) | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v3) = v6)
% 249.63/42.62 | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v4, v6) = v5) | ~
% 249.63/42.62 $i(v5) | ~ $i(v4) | ~ $i(v3) |
% 249.63/42.62 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v4, v3) = v7 &
% 249.63/42.62 $i(v7))))
% 249.63/42.62
% 249.63/42.63 (fact_eq__iff__diff__eq__0)
% 249.63/42.63 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 249.63/42.63 (c_Groups_Ominus__class_Ominus(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 249.63/42.63 ~ $i(v0) | ? [v4: any] : ? [v5: $i] : (class_Groups_Oab__group__add(v2) =
% 249.63/42.63 v4 & c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v5) & ( ~ (v4 = 0) | (( ~
% 249.63/42.63 (v5 = v3) | v1 = v0) & ( ~ (v1 = v0) | v5 = v3)))))
% 249.63/42.63
% 249.63/42.63 (fact_eq__special_I2_J)
% 249.63/42.63 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0
% 249.63/42.63 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 249.63/42.63 $i] : ! [v6: any] : ( ~ (c_Int_Oiszero(v2, v5) = v6) | ~
% 249.63/42.63 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v3) = v4) | ~
% 249.63/42.63 (c_Int_Onumber__class_Onumber__of(v2, v4) = v5) | ~
% 249.63/42.63 (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v3) | ~ $i(v2) | ~
% 249.63/42.63 $i(v1) | ? [v7: any] : ? [v8: $i] : ? [v9: $i] :
% 249.63/42.63 (c_Groups_Oone__class_Oone(v2) = v8 & class_Int_Onumber__ring(v2) = v7 &
% 249.63/42.63 c_Int_Onumber__class_Onumber__of(v2, v1) = v9 & $i(v9) & $i(v8) & ( ~
% 249.63/42.63 (v7 = 0) | (( ~ (v9 = v8) | v6 = 0) & ( ~ (v6 = 0) | v9 = v8))))))
% 249.63/42.63
% 249.63/42.63 (fact_eq__special_I4_J)
% 249.63/42.63 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] :
% 249.63/42.63 (c_Int_OBit1(c_Int_OPls) = v0 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,
% 249.63/42.63 v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 249.63/42.63 [v5: $i] : ! [v6: any] : ( ~ (c_Int_Oiszero(v3, v5) = v6) | ~
% 249.63/42.63 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v4) | ~
% 249.63/42.63 (c_Int_Onumber__class_Onumber__of(v3, v4) = v5) | ~ $i(v3) | ~ $i(v2) |
% 249.63/42.63 ? [v7: any] : ? [v8: $i] : ? [v9: $i] : (c_Groups_Oone__class_Oone(v3) =
% 249.63/42.63 v9 & class_Int_Onumber__ring(v3) = v7 &
% 249.63/42.63 c_Int_Onumber__class_Onumber__of(v3, v2) = v8 & $i(v9) & $i(v8) & ( ~
% 249.63/42.63 (v7 = 0) | (( ~ (v9 = v8) | v6 = 0) & ( ~ (v6 = 0) | v9 = v8))))))
% 249.63/42.63
% 249.63/42.63 (fact_fz_I2_J)
% 249.63/42.63 $i(tc_Nat_Onat) & $i(v_z____) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal)
% 249.63/42.63 & $i(v_f____) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 249.63/42.63 v0 & $i(v0) & ! [v1: $i] : ( ~
% 249.63/42.63 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) = 0) | ~ $i(v1)
% 249.63/42.63 | ? [v2: $i] : ($i(v2) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 249.63/42.63 [v6: $i] : ! [v7: $i] : ! [v8: int] : (v8 = 0 | ~ (v_g____(v4) = v5)
% 249.63/42.63 | ~ (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v5, v_z____)
% 249.63/42.63 = v6) | ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6)
% 249.63/42.63 = v7) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v1)
% 249.63/42.63 = v8) | ~ (hAPP(v_f____, v3) = v4) | ~ $i(v3) | ? [v9: int] : ( ~
% 249.63/42.63 (v9 = 0) & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v3) =
% 249.63/42.63 v9)))))
% 249.63/42.63
% 249.63/42.63 (fact_g_I2_J)
% 249.63/42.63 $i(tc_Nat_Onat) & $i(v_s____) & $i(v_p) & $i(tc_Complex_Ocomplex) &
% 249.63/42.63 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 249.63/42.63 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v2 &
% 249.63/42.63 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 &
% 249.63/42.63 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v1 & $i(v2) &
% 249.63/42.63 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 249.63/42.63 [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: int] : (v11 =
% 249.63/42.63 0 | ~ (c_Nat_OSuc(v3) = v7) | ~ (c_RealDef_Oreal(tc_Nat_Onat, v7) = v8)
% 249.63/42.63 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v9) = v10) | ~
% 249.63/42.63 (v_g____(v3) = v4) | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 249.63/42.63 v2, v8) = v9) | ~
% 249.63/42.63 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6) | ~
% 249.63/42.63 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v10) = v11) | ~
% 249.63/42.63 (hAPP(v0, v4) = v5) | ~ $i(v3)))
% 249.63/42.63
% 249.63/42.63 (fact_half)
% 249.63/42.64 $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 249.63/42.64 c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4:
% 249.63/42.64 $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: int] : (v7 = 0 | ~
% 249.63/42.64 (c_Groups_Oone__class_Oone(v2) = v4) | ~
% 249.63/42.64 (c_Int_Onumber__class_Onumber__of(v2, v1) = v5) | ~
% 249.63/42.64 (c_Rings_Oinverse__class_Odivide(v2, v4, v5) = v6) | ~
% 249.63/42.64 (c_Groups_Ozero__class_Ozero(v2) = v3) | ~
% 249.63/42.64 (c_Orderings_Oord__class_Oless(v2, v3, v6) = v7) | ~ $i(v2) | ? [v8:
% 249.63/42.64 any] : ? [v9: any] :
% 249.63/42.64 (class_Fields_Olinordered__field__inverse__zero(v2) = v8 &
% 249.63/42.64 class_Int_Onumber__ring(v2) = v9 & ( ~ (v9 = 0) | ~ (v8 = 0)))))
% 249.63/42.64
% 249.63/42.64 (fact_half__gt__zero)
% 249.63/42.64 $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 249.63/42.64 c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4:
% 249.63/42.64 $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: int] : (v7 = 0 | ~
% 249.63/42.64 (c_Int_Onumber__class_Onumber__of(v3, v1) = v5) | ~
% 249.63/42.64 (c_Rings_Oinverse__class_Odivide(v3, v2, v5) = v6) | ~
% 249.63/42.64 (c_Groups_Ozero__class_Ozero(v3) = v4) | ~
% 249.63/42.64 (c_Orderings_Oord__class_Oless(v3, v4, v6) = v7) | ~ $i(v3) | ~ $i(v2) |
% 249.63/42.64 ? [v8: any] : ? [v9: any] : ? [v10: any] :
% 249.63/42.64 (class_Fields_Olinordered__field__inverse__zero(v3) = v8 &
% 249.63/42.64 class_Int_Onumber__ring(v3) = v9 & c_Orderings_Oord__class_Oless(v3, v4,
% 249.63/42.64 v2) = v10 & ( ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0)))))
% 249.63/42.64
% 249.63/42.64 (fact_half__gt__zero__iff)
% 249.63/42.64 $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 249.63/42.64 c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4:
% 249.63/42.64 $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: any] : ( ~
% 249.63/42.64 (c_Int_Onumber__class_Onumber__of(v3, v1) = v5) | ~
% 249.63/42.64 (c_Rings_Oinverse__class_Odivide(v3, v2, v5) = v6) | ~
% 249.63/42.64 (c_Groups_Ozero__class_Ozero(v3) = v4) | ~
% 249.63/42.64 (c_Orderings_Oord__class_Oless(v3, v4, v6) = v7) | ~ $i(v3) | ~ $i(v2) |
% 249.63/42.64 ? [v8: any] : ? [v9: any] : ? [v10: any] :
% 249.63/42.64 (class_Fields_Olinordered__field__inverse__zero(v3) = v8 &
% 249.63/42.64 class_Int_Onumber__ring(v3) = v9 & c_Orderings_Oord__class_Oless(v3, v4,
% 249.63/42.64 v2) = v10 & ( ~ (v9 = 0) | ~ (v8 = 0) | (( ~ (v10 = 0) | v7 = 0) & (
% 249.63/42.64 ~ (v7 = 0) | v10 = 0))))))
% 249.63/42.64
% 249.63/42.64 (fact_int__0__less__1)
% 249.63/42.64 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 249.63/42.64 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 &
% 249.63/42.64 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 &
% 249.63/42.64 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) = 0 & $i(v1) & $i(v0))
% 249.63/42.64
% 249.63/42.64 (fact_int__0__neq__1)
% 249.63/42.64 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 249.63/42.64 c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 &
% 249.63/42.64 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0))
% 249.63/42.64
% 249.63/42.64 (fact_int__one__le__iff__zero__less)
% 249.63/42.64 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 249.63/42.64 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 &
% 249.63/42.64 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v1 & $i(v1) & $i(v0) & ! [v2:
% 249.63/42.64 $i] : ! [v3: int] : (v3 = 0 | ~
% 249.63/42.64 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) = v3) | ~ $i(v2)
% 249.63/42.64 | ? [v4: int] : ( ~ (v4 = 0) & c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 249.63/42.64 v1, v2) = v4)) & ! [v2: $i] : ( ~
% 249.63/42.64 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) = 0) | ~ $i(v2) |
% 249.63/42.64 c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) = 0))
% 249.63/42.64
% 249.63/42.64 (fact_int__pos__lt__two__imp__zero__or__one)
% 249.63/42.64 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 249.63/42.64 ? [v3: $i] : ? [v4: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v4 &
% 249.63/42.64 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 249.63/42.64 c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 &
% 249.63/42.64 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v4) & $i(v3) & $i(v2) &
% 249.63/42.64 $i(v1) & $i(v0) & ! [v5: $i] : (v5 = v4 | v5 = v0 | ~
% 249.63/42.64 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v5, v3) = 0) | ~ $i(v5) | ?
% 249.63/42.64 [v6: int] : ( ~ (v6 = 0) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 249.63/42.64 v0, v5) = v6)))
% 249.63/42.64
% 249.63/42.64 (fact_le__imp__0__less)
% 249.63/42.64 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 249.63/42.64 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 &
% 249.63/42.64 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0) & ! [v2:
% 249.63/42.64 $i] : ! [v3: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v2)
% 249.63/42.64 = v3) | ~ $i(v2) | ? [v4: any] : ? [v5: any] :
% 249.63/42.64 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) = v4 &
% 249.63/42.64 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) = v5 & ( ~ (v4 = 0) |
% 249.63/42.64 v5 = 0))))
% 249.63/42.64
% 249.63/42.64 (fact_le__special_I1_J)
% 249.63/42.65 $i(tc_Int_Oint) & $i(c_Int_OPls) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] :
% 249.63/42.65 ( ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) = v2) | ~
% 249.63/42.65 (class_Rings_Olinordered__idom(v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3:
% 249.63/42.65 any] : ? [v4: $i] : ? [v5: $i] : ? [v6: any] :
% 249.63/42.65 (c_Orderings_Oord__class_Oless__eq(v1, v4, v5) = v6 &
% 249.63/42.65 class_Int_Onumber__ring(v1) = v3 & c_Int_Onumber__class_Onumber__of(v1,
% 249.63/42.65 v0) = v5 & c_Groups_Ozero__class_Ozero(v1) = v4 & $i(v5) & $i(v4) & ( ~
% 249.63/42.65 (v3 = 0) | (( ~ (v6 = 0) | v2 = 0) & ( ~ (v2 = 0) | v6 = 0)))))
% 249.63/42.65
% 249.63/42.65 (fact_le__special_I2_J)
% 249.63/42.65 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0
% 249.63/42.65 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~
% 249.63/42.65 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) = v3) | ~
% 249.63/42.65 (class_Rings_Olinordered__idom(v2) = 0) | ~ $i(v2) | ~ $i(v1) | ? [v4:
% 249.63/42.65 any] : ? [v5: $i] : ? [v6: $i] : ? [v7: any] :
% 249.63/42.65 (c_Groups_Oone__class_Oone(v2) = v5 &
% 249.63/42.65 c_Orderings_Oord__class_Oless__eq(v2, v5, v6) = v7 &
% 249.63/42.65 class_Int_Onumber__ring(v2) = v4 & c_Int_Onumber__class_Onumber__of(v2,
% 249.63/42.65 v1) = v6 & $i(v6) & $i(v5) & ( ~ (v4 = 0) | (( ~ (v7 = 0) | v3 = 0) &
% 249.63/42.65 ( ~ (v3 = 0) | v7 = 0))))))
% 249.63/42.65
% 249.63/42.65 (fact_le__special_I3_J)
% 249.63/42.65 $i(tc_Int_Oint) & $i(c_Int_OPls) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] :
% 249.63/42.65 ( ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OPls) = v2) | ~
% 249.63/42.65 (class_Rings_Olinordered__idom(v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3:
% 249.63/42.65 any] : ? [v4: $i] : ? [v5: $i] : ? [v6: any] :
% 249.63/42.65 (c_Orderings_Oord__class_Oless__eq(v1, v4, v5) = v6 &
% 249.63/42.65 class_Int_Onumber__ring(v1) = v3 & c_Int_Onumber__class_Onumber__of(v1,
% 249.63/42.65 v0) = v4 & c_Groups_Ozero__class_Ozero(v1) = v5 & $i(v5) & $i(v4) & ( ~
% 249.63/42.65 (v3 = 0) | (( ~ (v6 = 0) | v2 = 0) & ( ~ (v2 = 0) | v6 = 0)))))
% 249.63/42.65
% 249.63/42.65 (fact_le__special_I4_J)
% 249.63/42.65 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0
% 249.63/42.65 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~
% 249.63/42.65 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) = v3) | ~
% 249.63/42.65 (class_Rings_Olinordered__idom(v2) = 0) | ~ $i(v2) | ~ $i(v1) | ? [v4:
% 249.63/42.65 any] : ? [v5: $i] : ? [v6: $i] : ? [v7: any] :
% 249.63/42.65 (c_Groups_Oone__class_Oone(v2) = v6 &
% 249.63/42.65 c_Orderings_Oord__class_Oless__eq(v2, v5, v6) = v7 &
% 249.63/42.65 class_Int_Onumber__ring(v2) = v4 & c_Int_Onumber__class_Onumber__of(v2,
% 249.63/42.65 v1) = v5 & $i(v6) & $i(v5) & ( ~ (v4 = 0) | (( ~ (v7 = 0) | v3 = 0) &
% 249.63/42.65 ( ~ (v3 = 0) | v7 = 0))))))
% 249.63/42.65
% 249.63/42.65 (fact_lemma__NBseq__def)
% 249.63/42.65 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 249.63/42.65 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ? [v1: $i] :
% 249.63/42.65 ! [v2: $i] : ( ~ (class_RealVector_Oreal__normed__vector(v2) = 0) | ~
% 249.63/42.65 $i(v2) | ~ $i(v1) | (( ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 249.63/42.65 (c_Nat_OSuc(v3) = v4 & c_RealDef_Oreal(tc_Nat_Onat, v4) = v5 & $i(v5)
% 249.63/42.65 & $i(v4) & $i(v3) & ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : !
% 249.63/42.65 [v9: int] : (v9 = 0 | ~
% 249.63/42.65 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v8, v5) = v9)
% 249.63/42.65 | ~ (c_RealVector_Onorm__class_Onorm(v2, v7) = v8) | ~ (hAPP(v1,
% 249.63/42.65 v6) = v7) | ~ $i(v6))) | ! [v3: $i] : ( ~
% 249.63/42.65 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = 0) | ~
% 249.63/42.65 $i(v3) | ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: int] : (
% 249.63/42.65 ~ (v7 = 0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 249.63/42.65 v6, v3) = v7 & c_RealVector_Onorm__class_Onorm(v2, v5) = v6 &
% 249.63/42.65 hAPP(v1, v4) = v5 & $i(v6) & $i(v5) & $i(v4)))) & ( ? [v3: $i] :
% 249.63/42.65 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = 0 & $i(v3)
% 249.63/42.65 & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: int] : (v7 = 0 |
% 249.63/42.66 ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v3) =
% 249.63/42.66 v7) | ~ (c_RealVector_Onorm__class_Onorm(v2, v5) = v6) | ~
% 249.63/42.66 (hAPP(v1, v4) = v5) | ~ $i(v4))) | ! [v3: $i] : ! [v4: $i] : (
% 249.63/42.66 ~ (c_Nat_OSuc(v3) = v4) | ~ $i(v3) | ? [v5: $i] :
% 249.63/42.66 (c_RealDef_Oreal(tc_Nat_Onat, v4) = v5 & $i(v5) & ? [v6: $i] : ?
% 249.63/42.66 [v7: $i] : ? [v8: $i] : ? [v9: int] : ( ~ (v9 = 0) &
% 249.63/42.66 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v8, v5) = v9
% 249.63/42.66 & c_RealVector_Onorm__class_Onorm(v2, v7) = v8 & hAPP(v1, v6) =
% 249.63/42.66 v7 & $i(v8) & $i(v7) & $i(v6))))))))
% 249.63/42.66
% 249.63/42.66 (fact_lemma__NBseq__def2)
% 249.63/42.66 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 249.63/42.66 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ? [v1: $i] :
% 249.63/42.66 ! [v2: $i] : ( ~ (class_RealVector_Oreal__normed__vector(v2) = 0) | ~
% 249.63/42.66 $i(v2) | ~ $i(v1) | (( ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 249.63/42.66 (c_Nat_OSuc(v3) = v4 & c_RealDef_Oreal(tc_Nat_Onat, v4) = v5 & $i(v5)
% 249.63/42.66 & $i(v4) & $i(v3) & ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : !
% 249.63/42.66 [v9: int] : (v9 = 0 | ~ (c_RealVector_Onorm__class_Onorm(v2, v7) =
% 249.63/42.66 v8) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8,
% 249.63/42.66 v5) = v9) | ~ (hAPP(v1, v6) = v7) | ~ $i(v6))) | ! [v3: $i]
% 249.63/42.66 : ( ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = 0) |
% 249.63/42.66 ~ $i(v3) | ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: int] :
% 249.63/42.66 ( ~ (v7 = 0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 249.63/42.66 v6, v3) = v7 & c_RealVector_Onorm__class_Onorm(v2, v5) = v6 &
% 249.63/42.66 hAPP(v1, v4) = v5 & $i(v6) & $i(v5) & $i(v4)))) & ( ? [v3: $i] :
% 249.63/42.66 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = 0 & $i(v3)
% 249.63/42.66 & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: int] : (v7 = 0 |
% 249.63/42.66 ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v3) =
% 249.63/42.66 v7) | ~ (c_RealVector_Onorm__class_Onorm(v2, v5) = v6) | ~
% 249.63/42.66 (hAPP(v1, v4) = v5) | ~ $i(v4))) | ! [v3: $i] : ! [v4: $i] : (
% 249.63/42.66 ~ (c_Nat_OSuc(v3) = v4) | ~ $i(v3) | ? [v5: $i] :
% 249.63/42.66 (c_RealDef_Oreal(tc_Nat_Onat, v4) = v5 & $i(v5) & ? [v6: $i] : ?
% 249.63/42.66 [v7: $i] : ? [v8: $i] : ? [v9: int] : ( ~ (v9 = 0) &
% 249.63/42.66 c_RealVector_Onorm__class_Onorm(v2, v7) = v8 &
% 249.63/42.66 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v5) = v9 &
% 249.63/42.66 hAPP(v1, v6) = v7 & $i(v8) & $i(v7) & $i(v6))))))))
% 249.63/42.66
% 249.63/42.66 (fact_lemma__tan__total)
% 249.63/42.66 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 249.63/42.66 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 249.63/42.66 (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 249.63/42.66 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 249.63/42.66 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Transcendental_Opi, v3)
% 249.63/42.66 = v4 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v4) & $i(v3)
% 249.63/42.66 & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ( ~
% 249.63/42.66 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5) = 0) | ~ $i(v5)
% 249.63/42.66 | ? [v6: $i] : ? [v7: $i] : (c_Transcendental_Otan(v6) = v7 &
% 249.63/42.66 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v4) = 0 &
% 249.63/42.66 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v7) = 0 &
% 249.63/42.66 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v6) = 0 & $i(v7) &
% 249.63/42.66 $i(v6))))
% 249.63/42.66
% 249.63/42.66 (fact_lemma__tan__total1)
% 249.63/42.66 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 249.63/42.66 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 249.63/42.66 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 249.63/42.66 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 249.63/42.66 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Transcendental_Opi, v2)
% 249.63/42.66 = v3 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v4 & $i(v4) &
% 249.63/42.66 $i(v3) & $i(v2) & $i(v1) & $i(v0) & ? [v5: $i] : ( ~ $i(v5) | ? [v6: $i] :
% 249.63/42.66 (c_Transcendental_Otan(v6) = v5 &
% 249.63/42.66 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v3) = 0 &
% 249.63/42.66 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6) = 0 & $i(v6))))
% 249.63/42.66
% 249.63/42.66 (fact_less__2__cases)
% 249.63/42.66 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 249.63/42.66 ? [v3: $i] : ? [v4: $i] : (c_Nat_OSuc(v3) = v4 & c_Int_OBit1(c_Int_OPls) = v0
% 249.63/42.66 & c_Int_OBit0(v0) = v1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) =
% 249.63/42.66 v2 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v3 & $i(v4) & $i(v3) &
% 249.63/42.66 $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : (v5 = v4 | v5 = v3 | ~
% 249.63/42.66 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v2) = 0) | ~ $i(v5)))
% 249.63/42.66
% 249.63/42.66 (fact_less__bin__lemma)
% 249.63/42.66 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 249.63/42.66 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 249.63/42.66 (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v2, v1) = v3) | ~ $i(v2) | ~
% 249.63/42.66 $i(v1) | ? [v4: any] : ? [v5: any] :
% 249.63/42.66 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0) = v5 &
% 249.63/42.66 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v4 & ( ~ (v4 = 0) |
% 249.63/42.66 v5 = 0))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 249.63/42.66 (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v2, v1) = v3) | ~ $i(v2) | ~
% 249.63/42.66 $i(v1) | ? [v4: any] : ? [v5: any] :
% 249.63/42.66 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0) = v4 &
% 249.63/42.66 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v5 & ( ~ (v4 = 0) |
% 249.63/42.66 v5 = 0))))
% 249.63/42.66
% 249.63/42.66 (fact_less__special_I1_J)
% 249.63/42.66 $i(tc_Int_Oint) & $i(c_Int_OPls) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] :
% 249.63/42.66 ( ~ (class_Rings_Olinordered__idom(v1) = 0) | ~
% 249.63/42.66 (c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) = v2) | ~
% 249.63/42.66 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: any]
% 249.63/42.66 : (class_Int_Onumber__ring(v1) = v3 & c_Int_Onumber__class_Onumber__of(v1,
% 249.63/42.66 v0) = v5 & c_Groups_Ozero__class_Ozero(v1) = v4 &
% 249.63/42.66 c_Orderings_Oord__class_Oless(v1, v4, v5) = v6 & $i(v5) & $i(v4) & ( ~ (v3
% 249.63/42.66 = 0) | (( ~ (v6 = 0) | v2 = 0) & ( ~ (v2 = 0) | v6 = 0)))))
% 249.63/42.66
% 249.63/42.66 (fact_less__special_I2_J)
% 249.63/42.67 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0
% 249.63/42.67 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~
% 249.63/42.67 (class_Rings_Olinordered__idom(v2) = 0) | ~
% 249.63/42.67 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) = v3) | ~ $i(v2) | ~
% 249.63/42.67 $i(v1) | ? [v4: any] : ? [v5: $i] : ? [v6: $i] : ? [v7: any] :
% 249.63/42.67 (c_Groups_Oone__class_Oone(v2) = v5 & class_Int_Onumber__ring(v2) = v4 &
% 249.63/42.67 c_Int_Onumber__class_Onumber__of(v2, v1) = v6 &
% 249.63/42.67 c_Orderings_Oord__class_Oless(v2, v5, v6) = v7 & $i(v6) & $i(v5) & ( ~
% 249.63/42.67 (v4 = 0) | (( ~ (v7 = 0) | v3 = 0) & ( ~ (v3 = 0) | v7 = 0))))))
% 249.63/42.67
% 249.63/42.67 (fact_less__special_I3_J)
% 250.10/42.67 $i(tc_Int_Oint) & $i(c_Int_OPls) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] :
% 250.10/42.67 ( ~ (class_Rings_Olinordered__idom(v1) = 0) | ~
% 250.10/42.67 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls) = v2) | ~
% 250.10/42.67 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: any]
% 250.10/42.67 : (class_Int_Onumber__ring(v1) = v3 & c_Int_Onumber__class_Onumber__of(v1,
% 250.10/42.67 v0) = v4 & c_Groups_Ozero__class_Ozero(v1) = v5 &
% 250.10/42.67 c_Orderings_Oord__class_Oless(v1, v4, v5) = v6 & $i(v5) & $i(v4) & ( ~ (v3
% 250.10/42.67 = 0) | (( ~ (v6 = 0) | v2 = 0) & ( ~ (v2 = 0) | v6 = 0)))))
% 250.10/42.67
% 250.10/42.67 (fact_less__special_I4_J)
% 250.10/42.67 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0
% 250.10/42.67 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~
% 250.10/42.67 (class_Rings_Olinordered__idom(v2) = 0) | ~
% 250.10/42.67 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = v3) | ~ $i(v2) | ~
% 250.10/42.67 $i(v1) | ? [v4: any] : ? [v5: $i] : ? [v6: $i] : ? [v7: any] :
% 250.10/42.67 (c_Groups_Oone__class_Oone(v2) = v6 & class_Int_Onumber__ring(v2) = v4 &
% 250.10/42.67 c_Int_Onumber__class_Onumber__of(v2, v1) = v5 &
% 250.10/42.67 c_Orderings_Oord__class_Oless(v2, v5, v6) = v7 & $i(v6) & $i(v5) & ( ~
% 250.10/42.67 (v4 = 0) | (( ~ (v7 = 0) | v3 = 0) & ( ~ (v3 = 0) | v7 = 0))))))
% 250.10/42.67
% 250.10/42.67 (fact_m2pi__less__pi)
% 250.10/42.67 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 250.10/42.67 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.10/42.67 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, c_Transcendental_Opi) =
% 250.10/42.67 v3 & c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 250.10/42.67 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 250.10/42.67 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v4 &
% 250.10/42.67 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, c_Transcendental_Opi) =
% 250.10/42.67 0 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 250.10/42.67
% 250.10/42.67 (fact_machin)
% 250.10/42.67 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 250.10/42.67 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ?
% 250.10/42.67 [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11:
% 250.10/42.67 $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16:
% 250.10/42.67 $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: $i] :
% 250.10/42.67 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v9) = v10 &
% 250.10/42.67 c_Transcendental_Oarctan(v19) = v20 & c_Transcendental_Oarctan(v8) = v9 &
% 250.10/42.67 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v5 & c_Int_OBit1(v16) = v17 &
% 250.10/42.67 c_Int_OBit1(v15) = v16 & c_Int_OBit1(v14) = v15 & c_Int_OBit1(v13) = v14 &
% 250.10/42.67 c_Int_OBit1(v11) = v12 & c_Int_OBit1(v1) = v6 & c_Int_OBit1(v0) = v11 &
% 250.10/42.67 c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v12) = v13 & c_Int_OBit0(v1) = v2
% 250.10/42.67 & c_Int_OBit0(v0) = v1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 250.10/42.67 v17) = v18 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v6) = v7 &
% 250.10/42.67 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 250.10/42.67 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v18) = v19 &
% 250.10/42.67 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v7) = v8 &
% 250.10/42.67 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Transcendental_Opi, v3)
% 250.10/42.67 = v4 & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v10, v20) = v4 &
% 250.10/42.67 $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 250.10/42.67 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 250.10/42.67 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 250.10/42.67
% 250.10/42.67 (fact_minus__pi__half__less__zero)
% 250.10/42.67 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 250.10/42.67 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 250.10/42.67 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 250.10/42.67 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 250.10/42.67 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Transcendental_Opi, v2)
% 250.10/42.67 = v3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v5 &
% 250.10/42.67 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v4 &
% 250.10/42.67 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v5) = 0 & $i(v5) &
% 250.10/42.67 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 250.10/42.67
% 250.10/42.67 (fact_mth2)
% 250.10/42.67 $i(v_r) & $i(v_p) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0:
% 250.10/42.67 $i] : (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & $i(v0) & ? [v1:
% 250.10/42.67 $i] : ($i(v1) & ! [v2: $i] : ! [v3: $i] : ( ~
% 250.10/42.67 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3) | ~ $i(v2)
% 250.10/42.67 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v1) = 0 | ! [v4:
% 250.10/42.67 $i] : ! [v5: $i] : ( ~ (hAPP(v0, v4) = v5) | ~ $i(v4) | ? [v6: $i]
% 250.10/42.67 : ? [v7: any] : ? [v8: $i] :
% 250.10/42.67 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v_r) = v7 &
% 250.10/42.67 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v8 &
% 250.10/42.67 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v6 &
% 250.10/42.67 $i(v8) & $i(v6) & ( ~ (v8 = v3) | ~ (v7 = 0)))))))
% 250.10/42.67
% 250.10/42.67 (fact_mult__2)
% 250.10/42.68 $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 250.10/42.68 c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4:
% 250.10/42.68 $i] : ! [v5: $i] : ( ~ (c_Groups_Otimes__class_Otimes(v3, v4, v2) = v5) |
% 250.10/42.68 ~ (c_Int_Onumber__class_Onumber__of(v3, v1) = v4) | ~ $i(v3) | ~ $i(v2)
% 250.10/42.68 | ? [v6: any] : ? [v7: $i] : (c_Groups_Oplus__class_Oplus(v3, v2, v2) =
% 250.10/42.68 v7 & class_Int_Onumber__ring(v3) = v6 & $i(v7) & ( ~ (v6 = 0) | v7 =
% 250.10/42.68 v5))))
% 250.10/42.68
% 250.10/42.68 (fact_mult__2__right)
% 250.10/42.68 $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 250.10/42.68 c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4:
% 250.10/42.68 $i] : ! [v5: $i] : ( ~ (c_Groups_Otimes__class_Otimes(v3, v2, v4) = v5) |
% 250.10/42.68 ~ (c_Int_Onumber__class_Onumber__of(v3, v1) = v4) | ~ $i(v3) | ~ $i(v2)
% 250.10/42.68 | ? [v6: any] : ? [v7: $i] : (c_Groups_Oplus__class_Oplus(v3, v2, v2) =
% 250.10/42.68 v7 & class_Int_Onumber__ring(v3) = v6 & $i(v7) & ( ~ (v6 = 0) | v7 =
% 250.10/42.68 v5))))
% 250.10/42.68
% 250.10/42.68 (fact_mult__numeral__1)
% 250.10/42.68 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & !
% 250.10/42.68 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~
% 250.10/42.68 (c_Groups_Otimes__class_Otimes(v2, v3, v1) = v4) | ~
% 250.10/42.68 (c_Int_Onumber__class_Onumber__of(v2, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 250.10/42.68 ? [v5: int] : ( ~ (v5 = 0) & class_Int_Onumber__ring(v2) = v5)))
% 250.10/42.68
% 250.10/42.68 (fact_mult__numeral__1__right)
% 250.10/42.68 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & !
% 250.10/42.68 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~
% 250.10/42.68 (c_Groups_Otimes__class_Otimes(v2, v1, v3) = v4) | ~
% 250.10/42.68 (c_Int_Onumber__class_Onumber__of(v2, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 250.10/42.68 ? [v5: int] : ( ~ (v5 = 0) & class_Int_Onumber__ring(v2) = v5)))
% 250.10/42.68
% 250.10/42.68 (fact_nat__1__add__1)
% 250.10/42.68 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 250.10/42.68 ? [v3: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 250.10/42.68 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v0) = v1 &
% 250.10/42.68 c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 &
% 250.10/42.68 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v1 & $i(v3) & $i(v2) &
% 250.10/42.68 $i(v1) & $i(v0))
% 250.10/42.68
% 250.10/42.68 (fact_nat__numeral__1__eq__1)
% 250.10/42.68 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] :
% 250.10/42.68 (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 250.10/42.68 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1 & $i(v1) & $i(v0))
% 250.10/42.68
% 250.10/42.68 (fact_natceiling__zero)
% 250.10/42.68 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 250.10/42.68 (c_RComplete_Onatceiling(v0) = v1 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) =
% 250.10/42.68 v1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0))
% 250.10/42.68
% 250.10/42.68 (fact_norm__eq__zero)
% 250.10/42.68 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.10/42.68 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 250.10/42.68 ! [v2: $i] : ! [v3: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) =
% 250.10/42.68 v3) | ~ $i(v2) | ~ $i(v1) | ? [v4: any] : ? [v5: $i] :
% 250.10/42.68 (class_RealVector_Oreal__normed__vector(v2) = v4 &
% 250.10/42.68 c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v5) & ( ~ (v4 = 0) | (( ~ (v5
% 250.10/42.68 = v1) | v3 = v0) & ( ~ (v3 = v0) | v5 = v1))))))
% 250.10/42.68
% 250.10/42.68 (fact_norm__ge__zero)
% 250.10/42.68 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.10/42.68 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 250.10/42.68 ! [v2: $i] : ! [v3: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) =
% 250.10/42.68 v3) | ~ $i(v2) | ~ $i(v1) | ? [v4: any] : ? [v5: any] :
% 250.10/42.68 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) = v5 &
% 250.10/42.68 class_RealVector_Oreal__normed__vector(v2) = v4 & ( ~ (v4 = 0) | v5 =
% 250.10/42.68 0))))
% 250.10/42.68
% 250.10/42.68 (fact_norm__le__zero__iff)
% 250.10/42.68 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.10/42.68 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 250.10/42.68 ! [v2: $i] : ! [v3: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) =
% 250.10/42.68 v3) | ~ $i(v2) | ~ $i(v1) | ? [v4: any] : ? [v5: any] : ? [v6: $i]
% 250.10/42.68 : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) = v5 &
% 250.10/42.68 class_RealVector_Oreal__normed__vector(v2) = v4 &
% 250.10/42.68 c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~ (v4 = 0) | (( ~ (v6
% 250.10/42.68 = v1) | v5 = 0) & ( ~ (v5 = 0) | v6 = v1))))))
% 250.10/42.68
% 250.10/42.68 (fact_norm__minus__commute)
% 250.10/42.68 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 250.10/42.68 (c_Groups_Ominus__class_Ominus(v2, v0, v1) = v3) | ~
% 250.10/42.68 (c_RealVector_Onorm__class_Onorm(v2, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 250.10/42.68 $i(v0) | ? [v5: any] : ? [v6: $i] : ? [v7: $i] :
% 250.10/42.68 (class_RealVector_Oreal__normed__vector(v2) = v5 &
% 250.10/42.68 c_Groups_Ominus__class_Ominus(v2, v1, v0) = v6 &
% 250.10/42.68 c_RealVector_Onorm__class_Onorm(v2, v6) = v7 & $i(v7) & $i(v6) & ( ~ (v5 =
% 250.10/42.68 0) | v7 = v4)))
% 250.10/42.68
% 250.10/42.68 (fact_norm__not__less__zero)
% 250.10/42.68 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.10/42.68 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 250.10/42.68 ! [v2: $i] : ! [v3: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) =
% 250.10/42.68 v3) | ~ $i(v2) | ~ $i(v1) | ? [v4: any] : ? [v5: any] :
% 250.10/42.68 (class_RealVector_Oreal__normed__vector(v2) = v4 &
% 250.10/42.68 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0) = v5 & ( ~ (v5 =
% 250.10/42.68 0) | ~ (v4 = 0)))))
% 250.10/42.68
% 250.10/42.68 (fact_norm__ratiotest__lemma)
% 250.10/42.69 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.10/42.69 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 250.10/42.69 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 250.10/42.69 $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v6) = v7) |
% 250.10/42.69 ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v7) = 0) | ~
% 250.10/42.69 (c_RealVector_Onorm__class_Onorm(v4, v2) = v5) | ~
% 250.10/42.69 (c_RealVector_Onorm__class_Onorm(v4, v1) = v6) | ~ $i(v4) | ~ $i(v3) |
% 250.10/42.69 ~ $i(v2) | ~ $i(v1) | ? [v8: any] : ? [v9: any] : ? [v10: $i] :
% 250.10/42.69 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) = v9 &
% 250.10/42.69 class_RealVector_Oreal__normed__vector(v4) = v8 &
% 250.10/42.69 c_Groups_Ozero__class_Ozero(v4) = v10 & $i(v10) & ( ~ (v9 = 0) | ~ (v8
% 250.10/42.69 = 0) | v10 = v2))))
% 250.10/42.69
% 250.10/42.69 (fact_norm__zero)
% 250.10/42.69 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.10/42.69 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 250.10/42.69 ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ (c_Groups_Ozero__class_Ozero(v1) =
% 250.10/42.69 v2) | ~ (c_RealVector_Onorm__class_Onorm(v1, v2) = v3) | ~ $i(v1) | ?
% 250.10/42.69 [v4: int] : ( ~ (v4 = 0) & class_RealVector_Oreal__normed__vector(v1) =
% 250.10/42.69 v4)))
% 250.10/42.69
% 250.10/42.69 (fact_not__iszero__Numeral1)
% 250.10/42.69 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & !
% 250.10/42.69 [v1: $i] : ! [v2: $i] : ( ~ (c_Int_Oiszero(v1, v2) = 0) | ~
% 250.10/42.69 (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ $i(v1) | ? [v3: int]
% 250.10/42.69 : ( ~ (v3 = 0) & class_Int_Onumber__ring(v1) = v3)))
% 250.10/42.69
% 250.10/42.69 (fact_not__real__of__nat__less__zero)
% 250.10/42.69 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.10/42.69 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 250.10/42.69 ! [v2: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~ $i(v1) | ?
% 250.10/42.69 [v3: int] : ( ~ (v3 = 0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.10/42.69 v2, v0) = v3)))
% 250.10/42.69
% 250.10/42.69 (fact_not__real__square__gt__zero)
% 250.10/42.69 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.10/42.69 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 250.10/42.69 ! [v2: $i] : (v1 = v0 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,
% 250.10/42.69 v1, v1) = v2) | ~ $i(v1) |
% 250.10/42.69 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) = 0) & ! [v1: $i]
% 250.10/42.69 : ( ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0, v0) = v1) | ?
% 250.10/42.69 [v2: int] : ( ~ (v2 = 0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.10/42.69 v0, v1) = v2)))
% 250.10/42.69
% 250.10/42.69 (fact_number__of1)
% 250.20/42.69 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 250.20/42.69 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 250.20/42.69 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~ $i(v1) | ?
% 250.20/42.69 [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: any] : ? [v7: $i] : ?
% 250.20/42.69 [v8: $i] : ? [v9: any] : (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 250.20/42.69 v0, v8) = v9 & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v5)
% 250.20/42.69 = v6 & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) = v3 &
% 250.20/42.69 c_Int_OBit1(v1) = v7 & c_Int_OBit0(v1) = v4 &
% 250.20/42.69 c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v7) = v8 &
% 250.20/42.69 c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v4) = v5 & $i(v8) & $i(v7)
% 250.20/42.69 & $i(v5) & $i(v4) & ( ~ (v3 = 0) | (v9 = 0 & v6 = 0)))))
% 250.20/42.69
% 250.20/42.69 (fact_number__of2)
% 250.20/42.69 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] :
% 250.20/42.69 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) = 0 &
% 250.20/42.69 c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) = v1 &
% 250.20/42.69 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0))
% 250.20/42.69
% 250.20/42.69 (fact_numeral__1__eq__1)
% 250.20/42.69 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & !
% 250.20/42.69 [v1: $i] : ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2)
% 250.20/42.69 | ~ $i(v1) | ? [v3: any] : ? [v4: $i] : (c_Groups_Oone__class_Oone(v1)
% 250.20/42.69 = v4 & class_Int_Onumber__ring(v1) = v3 & $i(v4) & ( ~ (v3 = 0) | v4 =
% 250.20/42.69 v2))))
% 250.20/42.69
% 250.20/42.69 (fact_numeral__1__eq__Suc__0)
% 250.20/42.69 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 250.20/42.69 (c_Nat_OSuc(v2) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 250.20/42.69 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1 &
% 250.20/42.69 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v2 & $i(v2) & $i(v1) & $i(v0))
% 250.20/42.69
% 250.20/42.69 (fact_numeral__2__eq__2)
% 250.20/42.69 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 250.20/42.69 ? [v3: $i] : ? [v4: $i] : (c_Nat_OSuc(v4) = v2 & c_Nat_OSuc(v3) = v4 &
% 250.20/42.69 c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 250.20/42.69 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 250.20/42.69 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v3 & $i(v4) & $i(v3) & $i(v2) &
% 250.20/42.69 $i(v1) & $i(v0))
% 250.20/42.69
% 250.20/42.69 (fact_numeral__3__eq__3)
% 250.20/42.69 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 250.20/42.69 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : (c_Nat_OSuc(v5) = v2 & c_Nat_OSuc(v4)
% 250.20/42.69 = v5 & c_Nat_OSuc(v3) = v4 & c_Int_OBit1(v0) = v1 & c_Int_OBit1(c_Int_OPls)
% 250.20/42.69 = v0 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 250.20/42.69 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v3 & $i(v5) & $i(v4) & $i(v3) &
% 250.20/42.69 $i(v2) & $i(v1) & $i(v0))
% 250.20/42.69
% 250.20/42.69 (fact_odd__less__0)
% 250.20/42.69 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 250.20/42.69 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 &
% 250.20/42.69 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v1 & $i(v1) & $i(v0) & ! [v2:
% 250.20/42.69 $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 250.20/42.69 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v2) = v4) | ~
% 250.20/42.69 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v2) = v3) | ~ $i(v2) | ?
% 250.20/42.69 [v5: any] : ? [v6: any] : (c_Orderings_Oord__class_Oless(tc_Int_Oint, v4,
% 250.20/42.69 v1) = v6 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v5 & (
% 250.20/42.69 ~ (v5 = 0) | v6 = 0))) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 250.20/42.69 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v2) = v4) | ~
% 250.20/42.69 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v2) = v3) | ~ $i(v2) | ?
% 250.20/42.69 [v5: any] : ? [v6: any] : (c_Orderings_Oord__class_Oless(tc_Int_Oint, v4,
% 250.20/42.69 v1) = v5 & c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v6 & (
% 250.20/42.69 ~ (v5 = 0) | v6 = 0))))
% 250.20/42.69
% 250.20/42.69 (fact_odd__nonzero)
% 250.20/42.70 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 250.20/42.70 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 &
% 250.20/42.70 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v1 & $i(v1) & $i(v0) & ! [v2:
% 250.20/42.70 $i] : ! [v3: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v2)
% 250.20/42.70 = v1) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v2) = v3) | ~
% 250.20/42.70 $i(v2)))
% 250.20/42.70
% 250.20/42.70 (fact_one__add__one__is__two)
% 250.20/42.70 $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 250.20/42.70 c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~
% 250.20/42.70 (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ $i(v2) | ? [v4: any]
% 250.20/42.70 : ? [v5: $i] : ? [v6: $i] : (c_Groups_Oone__class_Oone(v2) = v5 &
% 250.20/42.70 c_Groups_Oplus__class_Oplus(v2, v5, v5) = v6 &
% 250.20/42.70 class_Int_Onumber__ring(v2) = v4 & $i(v6) & $i(v5) & ( ~ (v4 = 0) | v6 =
% 250.20/42.70 v3))))
% 250.20/42.70
% 250.20/42.70 (fact_one__is__num__one)
% 250.20/42.70 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] :
% 250.20/42.70 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & c_Int_OBit1(c_Int_OPls) = v1 &
% 250.20/42.70 c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v0 & $i(v1) & $i(v0))
% 250.20/42.70
% 250.20/42.70 (fact_one__neq__zero)
% 250.20/42.70 ! [v0: $i] : ( ~ (class_Rings_Ozero__neq__one(v0) = 0) | ~ $i(v0) | ? [v1:
% 250.20/42.70 $i] : ? [v2: $i] : ( ~ (v2 = v1) & c_Groups_Oone__class_Oone(v0) = v1 &
% 250.20/42.70 c_Groups_Ozero__class_Ozero(v0) = v2 & $i(v2) & $i(v1)))
% 250.20/42.70
% 250.20/42.70 (fact_order__root)
% 250.20/42.70 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 250.20/42.70 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 250.20/42.70 $i] : ( ~ (c_Polynomial_Opoly(v3, v2) = v4) | ~ (hAPP(v4, v1) = v5) | ~
% 250.20/42.70 $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v6: any] : ? [v7: $i] : ? [v8: $i]
% 250.20/42.70 : ? [v9: $i] : ? [v10: $i] : (c_Polynomial_Oorder(v3, v1, v2) = v10 &
% 250.20/42.70 class_Rings_Oidom(v3) = v6 & tc_Polynomial_Opoly(v3) = v8 &
% 250.20/42.70 c_Groups_Ozero__class_Ozero(v8) = v9 & c_Groups_Ozero__class_Ozero(v3) =
% 250.20/42.70 v7 & $i(v10) & $i(v9) & $i(v8) & $i(v7) & ( ~ (v6 = 0) | (( ~ (v10 = v0)
% 250.20/42.70 | ~ (v7 = v5) | v9 = v2) & (v7 = v5 | (v10 = v0 & ~ (v9 =
% 250.20/42.70 v2))))))))
% 250.20/42.70
% 250.20/42.70 (fact_pi__ge__two)
% 250.20/42.70 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 250.20/42.70 : ? [v1: $i] : ? [v2: $i] :
% 250.20/42.70 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, c_Transcendental_Opi)
% 250.20/42.70 = 0 & c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 250.20/42.70 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) &
% 250.20/42.70 $i(v1) & $i(v0))
% 250.20/42.70
% 250.20/42.70 (fact_pi__ge__zero)
% 250.20/42.70 $i(c_Transcendental_Opi) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.20/42.70 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, c_Transcendental_Opi)
% 250.20/42.70 = 0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0))
% 250.20/42.70
% 250.20/42.70 (fact_pi__gt__zero)
% 250.20/42.70 $i(c_Transcendental_Opi) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.20/42.70 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.20/42.70 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, c_Transcendental_Opi) =
% 250.20/42.70 0 & $i(v0))
% 250.20/42.70
% 250.20/42.70 (fact_pi__half__ge__zero)
% 250.20/42.70 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 250.20/42.70 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.20/42.70 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v4) = 0 &
% 250.20/42.70 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 250.20/42.70 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 250.20/42.70 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Transcendental_Opi, v3)
% 250.20/42.70 = v4 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v4) & $i(v3)
% 250.20/42.70 & $i(v2) & $i(v1) & $i(v0))
% 250.20/42.70
% 250.20/42.70 (fact_pi__half__gt__zero)
% 250.20/42.70 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 250.20/42.70 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.20/42.70 (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 250.20/42.70 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 250.20/42.70 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Transcendental_Opi, v3)
% 250.20/42.70 = v4 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.20/42.70 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) = 0 & $i(v4) &
% 250.20/42.70 $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 250.20/42.70
% 250.20/42.70 (fact_pi__half__le__two)
% 250.20/42.70 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 250.20/42.70 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 250.20/42.70 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2) = 0 &
% 250.20/42.70 c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 250.20/42.70 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 250.20/42.70 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Transcendental_Opi, v2)
% 250.20/42.70 = v3 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 250.20/42.70
% 250.20/42.70 (fact_pi__half__less__two)
% 250.20/42.70 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 250.20/42.70 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 250.20/42.70 c_Int_OBit0(v0) = v1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 250.20/42.70 v1) = v2 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.20/42.70 c_Transcendental_Opi, v2) = v3 &
% 250.20/42.70 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2) = 0 & $i(v3) &
% 250.20/42.70 $i(v2) & $i(v1) & $i(v0))
% 250.20/42.70
% 250.20/42.70 (fact_pi__half__neq__two)
% 250.20/42.70 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 250.20/42.70 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ( ~ (v3 = v2) &
% 250.20/42.70 c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 250.20/42.70 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 250.20/42.70 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Transcendental_Opi, v2)
% 250.20/42.70 = v3 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 250.20/42.70
% 250.20/42.70 (fact_pi__half__neq__zero)
% 250.20/42.70 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 250.20/42.70 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ( ~ (v4 = v3) &
% 250.20/42.70 c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 250.20/42.70 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 250.20/42.70 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Transcendental_Opi, v2)
% 250.20/42.70 = v3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v4 & $i(v4) & $i(v3)
% 250.20/42.70 & $i(v2) & $i(v1) & $i(v0))
% 250.20/42.70
% 250.20/42.70 (fact_pi__less__4)
% 250.20/42.70 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 250.20/42.70 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 250.20/42.70 c_Int_OBit0(v1) = v2 & c_Int_OBit0(v0) = v1 &
% 250.20/42.70 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 250.20/42.70 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Transcendental_Opi, v3) =
% 250.20/42.70 0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 250.20/42.70
% 250.20/42.70 (fact_pi__neq__zero)
% 250.20/42.71 $i(c_Transcendental_Opi) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ( ~ (v0 =
% 250.20/42.71 c_Transcendental_Opi) & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0
% 250.20/42.71 & $i(v0))
% 250.20/42.71
% 250.20/42.71 (fact_pi__not__less__zero)
% 250.20/42.71 $i(c_Transcendental_Opi) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: int] :
% 250.20/42.71 ( ~ (v1 = 0) & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.20/42.71 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Transcendental_Opi, v0) =
% 250.20/42.71 v1 & $i(v0))
% 250.20/42.71
% 250.20/42.71 (fact_poly__cont)
% 250.20/42.71 $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.20/42.71 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 250.20/42.71 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 250.20/42.71 (c_Polynomial_Opoly(tc_Complex_Ocomplex, v1) = v4) | ~
% 250.20/42.71 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = 0) | ~
% 250.20/42.71 (hAPP(v4, v2) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v6: $i] :
% 250.20/42.71 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v6) = 0 & $i(v6) & !
% 250.20/42.71 [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: int] :
% 250.20/42.71 (v11 = 0 | ~ (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v8,
% 250.20/42.71 v5) = v9) | ~
% 250.20/42.71 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v9) = v10) | ~
% 250.20/42.71 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v3) = v11) | ~
% 250.20/42.71 (hAPP(v4, v7) = v8) | ~ $i(v7) | ? [v12: $i] : ? [v13: $i] : ?
% 250.20/42.71 [v14: any] : ? [v15: any] :
% 250.20/42.71 (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v7, v2) = v12 &
% 250.20/42.71 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v12) = v13 &
% 250.20/42.71 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v6) = v15 &
% 250.20/42.71 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v13) = v14 &
% 250.20/42.71 $i(v13) & $i(v12) & ( ~ (v15 = 0) | ~ (v14 = 0)))))))
% 250.20/42.71
% 250.20/42.71 (fact_pos2)
% 250.20/42.71 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 250.20/42.71 ? [v3: $i] : (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 250.20/42.71 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 &
% 250.20/42.71 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 250.20/42.71 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) = 0 & $i(v3) & $i(v2) &
% 250.20/42.71 $i(v1) & $i(v0))
% 250.20/42.71
% 250.20/42.71 (fact_rabs__ratiotest__lemma)
% 250.20/42.71 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.20/42.71 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 250.20/42.71 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v2 =
% 250.20/42.71 v0 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v5) = v6) |
% 250.20/42.71 ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v6) = 0) | ~
% 250.20/42.71 (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v4) | ~
% 250.20/42.71 (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v5) | ~ $i(v3) | ~
% 250.20/42.71 $i(v2) | ~ $i(v1) | ? [v7: int] : ( ~ (v7 = 0) &
% 250.20/42.71 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) = v7)))
% 250.20/42.71
% 250.20/42.71 (fact_real__0__le__add__iff)
% 250.20/42.71 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.20/42.71 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 250.20/42.71 ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~
% 250.20/42.71 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v1) = v4) | ~
% 250.20/42.71 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3) | ~ $i(v2) |
% 250.20/42.71 ~ $i(v1) | ? [v5: $i] : ? [v6: int] : ( ~ (v6 = 0) &
% 250.20/42.71 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v5 &
% 250.20/42.71 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v5) = v6 &
% 250.20/42.71 $i(v5))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 250.20/42.71 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v1) = 0) | ~
% 250.20/42.71 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3) | ~ $i(v2) |
% 250.20/42.71 ~ $i(v1) | ? [v4: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 250.20/42.71 v2, v1) = v4 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 250.20/42.71 v4) = 0 & $i(v4))))
% 250.20/42.71
% 250.20/42.71 (fact_real__0__le__divide__iff)
% 250.20/42.71 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.20/42.71 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 250.20/42.71 ! [v2: $i] : ! [v3: any] : ! [v4: any] : ( ~
% 250.20/42.71 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) = v4) | ~
% 250.20/42.71 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) = v3) | ~
% 250.20/42.71 $i(v2) | ~ $i(v1) | ? [v5: $i] : ? [v6: any] : ? [v7: any] : ? [v8:
% 250.20/42.71 any] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) = v7
% 250.20/42.71 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) = v8 &
% 250.20/42.71 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v5) = v6 &
% 250.20/42.71 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1) = v5 & $i(v5)
% 250.20/42.71 & ( ~ (v6 = 0) | ((v8 = 0 | v4 = 0) & (v7 = 0 | v3 = 0))))) & ! [v1:
% 250.20/42.71 $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] : ( ~
% 250.20/42.71 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) = v4) | ~
% 250.20/42.71 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) = v3) | ~
% 250.20/42.71 $i(v2) | ~ $i(v1) | ? [v5: any] : ? [v6: any] : ? [v7: $i] : ? [v8:
% 250.20/42.71 any] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) = v5
% 250.20/42.71 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) = v6 &
% 250.20/42.71 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v7) = v8 &
% 250.20/42.71 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1) = v7 & $i(v7)
% 250.20/42.71 & (v8 = 0 | ( ~ (v6 = 0) & ~ (v4 = 0)) | ( ~ (v5 = 0) & ~ (v3 =
% 250.20/42.71 0))))))
% 250.20/42.71
% 250.20/42.71 (fact_real__0__less__add__iff)
% 250.20/42.71 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.20/42.71 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 250.20/42.71 ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~
% 250.20/42.71 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3) | ~
% 250.20/42.71 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v1) = v4) | ~ $i(v2)
% 250.20/42.71 | ~ $i(v1) | ? [v5: $i] : ? [v6: int] : ( ~ (v6 = 0) &
% 250.20/42.71 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v5 &
% 250.20/42.71 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5) = v6 & $i(v5)))
% 250.20/42.71 & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 250.20/42.71 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3) | ~
% 250.20/42.71 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v1) = 0) | ~ $i(v2)
% 250.20/42.71 | ~ $i(v1) | ? [v4: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 250.20/42.71 v2, v1) = v4 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4)
% 250.20/42.71 = 0 & $i(v4))))
% 250.20/42.71
% 250.20/42.71 (fact_real__abs__def)
% 250.20/42.71 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.20/42.71 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 250.20/42.71 ! [v2: int] : (v2 = 0 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.20/42.71 v1, v0) = v2) | ~ $i(v1) |
% 250.20/42.71 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v1) & ! [v1: $i] : ( ~
% 250.20/42.71 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) = 0) | ~ $i(v1)
% 250.20/42.71 | ? [v2: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) =
% 250.20/42.71 v2 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v2 & $i(v2))))
% 250.20/42.71
% 250.20/42.71 (fact_real__add__eq__0__iff)
% 250.20/42.71 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.20/42.71 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 250.20/42.71 ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 250.20/42.71 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2) |
% 250.20/42.71 ~ $i(v1) | ? [v4: $i] : ( ~ (v4 = v1) &
% 250.20/42.71 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v4 & $i(v4))) &
% 250.20/42.71 ! [v1: $i] : ! [v2: $i] : ( ~
% 250.20/42.71 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v0) | ~ $i(v2) |
% 250.20/42.71 ~ $i(v1) | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v1))
% 250.20/42.71
% 250.20/42.71 (fact_real__add__le__0__iff)
% 250.20/42.72 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.20/42.72 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 250.20/42.72 ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~
% 250.20/42.72 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v3) = v4) | ~
% 250.20/42.72 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3) | ~ $i(v2) |
% 250.20/42.72 ~ $i(v1) | ? [v5: $i] : ? [v6: int] : ( ~ (v6 = 0) &
% 250.20/42.72 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v5 &
% 250.20/42.72 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v0) = v6 &
% 250.20/42.72 $i(v5))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 250.20/42.72 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v3) = 0) | ~
% 250.20/42.72 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3) | ~ $i(v2) |
% 250.20/42.72 ~ $i(v1) | ? [v4: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 250.20/42.72 v2, v1) = v4 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4,
% 250.20/42.72 v0) = 0 & $i(v4))))
% 250.20/42.72
% 250.20/42.72 (fact_real__add__less__0__iff)
% 250.20/42.72 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.20/42.72 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 250.20/42.72 ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~
% 250.20/42.72 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3) | ~
% 250.20/42.72 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v3) = v4) | ~ $i(v2)
% 250.20/42.72 | ~ $i(v1) | ? [v5: $i] : ? [v6: int] : ( ~ (v6 = 0) &
% 250.20/42.72 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v5 &
% 250.20/42.72 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v0) = v6 & $i(v5)))
% 250.20/42.72 & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 250.20/42.72 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3) | ~
% 250.20/42.72 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v3) = 0) | ~ $i(v2)
% 250.20/42.72 | ~ $i(v1) | ? [v4: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 250.20/42.72 v2, v1) = v4 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v0)
% 250.20/42.72 = 0 & $i(v4))))
% 250.20/42.72
% 250.20/42.72 (fact_real__add__minus__iff)
% 250.20/42.72 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.20/42.72 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 250.20/42.72 ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 250.20/42.72 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v2) = v3) | ~
% 250.20/42.72 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2) | ~ $i(v1))
% 250.20/42.72 & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v2 = v1 | ~
% 250.20/42.72 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) = v0) | ~
% 250.20/42.72 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3) | ~ $i(v2) |
% 250.20/42.72 ~ $i(v1)))
% 250.20/42.72
% 250.20/42.72 (fact_real__average__minus__first)
% 250.20/42.72 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 250.20/42.72 $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 250.20/42.72 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) &
% 250.20/42.72 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 250.20/42.72 [v7: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5)
% 250.20/42.72 | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v2) = v6) | ~
% 250.20/42.72 (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v6, v4) = v7) | ~ $i(v4)
% 250.20/42.72 | ~ $i(v3) | ? [v8: $i] :
% 250.20/42.72 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v8, v2) = v7 &
% 250.20/42.72 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v4) = v8 & $i(v8) &
% 250.20/42.72 $i(v7))))
% 250.20/42.72
% 250.20/42.72 (fact_real__average__minus__second)
% 250.20/42.72 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 250.20/42.72 $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 250.20/42.72 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) &
% 250.20/42.72 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 250.20/42.72 [v7: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5)
% 250.20/42.72 | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v2) = v6) | ~
% 250.20/42.72 (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v6, v3) = v7) | ~ $i(v4)
% 250.20/42.72 | ~ $i(v3) | ? [v8: $i] :
% 250.20/42.72 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v8, v2) = v7 &
% 250.20/42.72 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v4, v3) = v8 & $i(v8) &
% 250.20/42.72 $i(v7))))
% 250.20/42.72
% 250.20/42.72 (fact_real__gt__half__sum)
% 250.33/42.72 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 250.33/42.72 $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 250.33/42.72 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) &
% 250.33/42.72 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 250.33/42.72 [v7: int] : (v7 = 0 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4,
% 250.33/42.72 v3) = v5) | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5,
% 250.33/42.72 v2) = v6) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6,
% 250.33/42.72 v3) = v7) | ~ $i(v4) | ~ $i(v3) | ? [v8: int] : ( ~ (v8 = 0) &
% 250.33/42.72 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v3) = v8)))
% 250.33/42.72
% 250.33/42.72 (fact_real__le__antisym)
% 250.33/42.72 $i(tc_RealDef_Oreal) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 250.33/42.72 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) = 0) | ~
% 250.33/42.72 $i(v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 250.33/42.72 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) = v2))
% 250.33/42.72
% 250.33/42.72 (fact_real__le__eq__diff)
% 250.33/42.72 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.33/42.72 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 250.33/42.72 ! [v2: $i] : ! [v3: $i] : ( ~
% 250.33/42.72 (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2)
% 250.33/42.72 | ~ $i(v1) | ? [v4: any] : ? [v5: any] :
% 250.33/42.72 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) = v5 &
% 250.33/42.72 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1) = v4 & ( ~
% 250.33/42.72 (v4 = 0) | v5 = 0))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 250.33/42.72 (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2)
% 250.33/42.72 | ~ $i(v1) | ? [v4: any] : ? [v5: any] :
% 250.33/42.72 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) = v4 &
% 250.33/42.72 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1) = v5 & ( ~
% 250.33/42.72 (v4 = 0) | v5 = 0))))
% 250.33/42.72
% 250.33/42.72 (fact_real__less__half__sum)
% 250.33/42.72 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 250.33/42.72 $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 250.33/42.72 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) &
% 250.33/42.72 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 250.33/42.72 [v7: int] : (v7 = 0 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4,
% 250.33/42.72 v3) = v5) | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5,
% 250.33/42.72 v2) = v6) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4,
% 250.33/42.72 v6) = v7) | ~ $i(v4) | ~ $i(v3) | ? [v8: int] : ( ~ (v8 = 0) &
% 250.33/42.72 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v3) = v8)))
% 250.33/42.72
% 250.33/42.72 (fact_real__mult__le__cancel__iff1)
% 250.33/42.72 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.33/42.72 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 250.33/42.72 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: any] : ( ~
% 250.33/42.72 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v3) = v4) | ~
% 250.33/42.72 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v3) = v5) | ~
% 250.33/42.72 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5) = v6) | ~
% 250.33/42.72 $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v7: any] : ? [v8: any] :
% 250.33/42.72 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1) = v8 &
% 250.33/42.72 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = v7 & ( ~ (v7 =
% 250.33/42.72 0) | (( ~ (v8 = 0) | v6 = 0) & ( ~ (v6 = 0) | v8 = 0))))))
% 250.33/42.72
% 250.33/42.72 (fact_real__mult__le__cancel__iff2)
% 250.33/42.72 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.33/42.72 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 250.33/42.72 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: any] : ( ~
% 250.33/42.72 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v2) = v4) | ~
% 250.33/42.72 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v1) = v5) | ~
% 250.33/42.72 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5) = v6) | ~
% 250.33/42.72 $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v7: any] : ? [v8: any] :
% 250.33/42.72 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1) = v8 &
% 250.33/42.72 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = v7 & ( ~ (v7 =
% 250.33/42.72 0) | (( ~ (v8 = 0) | v6 = 0) & ( ~ (v6 = 0) | v8 = 0))))))
% 250.33/42.72
% 250.33/42.72 (fact_real__mult__left__cancel)
% 250.33/42.73 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.33/42.73 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 250.33/42.73 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v3 = v0 | ~
% 250.33/42.73 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v2) = v4) | ~
% 250.33/42.73 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v1) = v5) | ~ $i(v3)
% 250.33/42.73 | ~ $i(v2) | ~ $i(v1) | (( ~ (v5 = v4) | v2 = v1) & ( ~ (v2 = v1) | v5 =
% 250.33/42.73 v4))))
% 250.33/42.73
% 250.33/42.73 (fact_real__mult__less__iff1)
% 250.33/42.73 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.33/42.73 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 250.33/42.73 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: any] : ( ~
% 250.33/42.73 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v3) = v4) | ~
% 250.33/42.73 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v3) = v5) | ~
% 250.33/42.73 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v5) = v6) | ~ $i(v3)
% 250.33/42.73 | ~ $i(v2) | ~ $i(v1) | ? [v7: any] : ? [v8: any] :
% 250.33/42.73 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v1) = v8 &
% 250.33/42.73 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = v7 & ( ~ (v7 =
% 250.33/42.73 0) | (( ~ (v8 = 0) | v6 = 0) & ( ~ (v6 = 0) | v8 = 0))))))
% 250.33/42.73
% 250.33/42.73 (fact_real__mult__less__mono2)
% 250.33/42.73 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.33/42.73 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 250.33/42.73 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: int] : (v6 =
% 250.33/42.73 0 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v2) = v4) | ~
% 250.33/42.73 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v1) = v5) | ~
% 250.33/42.73 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v5) = v6) | ~ $i(v3)
% 250.33/42.73 | ~ $i(v2) | ~ $i(v1) | ? [v7: any] : ? [v8: any] :
% 250.33/42.73 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v1) = v8 &
% 250.33/42.73 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = v7 & ( ~ (v8 =
% 250.33/42.73 0) | ~ (v7 = 0)))))
% 250.33/42.73
% 250.33/42.73 (fact_real__mult__order)
% 250.36/42.73 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.36/42.73 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 250.36/42.73 ! [v2: $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) =
% 250.36/42.73 0) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) = 0) |
% 250.36/42.73 ~ $i(v2) | ~ $i(v1) | ? [v3: $i] :
% 250.36/42.73 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v1) = v3 &
% 250.36/42.73 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = 0 & $i(v3))))
% 250.36/42.73
% 250.36/42.73 (fact_real__mult__right__cancel)
% 250.36/42.73 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.36/42.73 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 250.36/42.73 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v3 = v0 | ~
% 250.36/42.73 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v3) = v4) | ~
% 250.36/42.73 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v3) = v5) | ~ $i(v3)
% 250.36/42.73 | ~ $i(v2) | ~ $i(v1) | (( ~ (v5 = v4) | v2 = v1) & ( ~ (v2 = v1) | v5 =
% 250.36/42.73 v4))))
% 250.36/42.73
% 250.36/42.73 (fact_real__of__nat__Suc__gt__zero)
% 250.36/42.73 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.36/42.73 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 250.36/42.73 ! [v2: $i] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ $i(v1) | ? [v3: $i] :
% 250.36/42.73 (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3 &
% 250.36/42.73 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = 0 & $i(v3))))
% 250.36/42.73
% 250.36/42.73 (fact_real__of__nat__ge__zero)
% 250.36/42.73 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.36/42.73 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 250.36/42.73 ! [v2: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~ $i(v1) |
% 250.36/42.73 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) = 0))
% 250.36/42.73
% 250.36/42.73 (fact_real__of__nat__gt__zero__cancel__iff)
% 250.36/42.73 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 250.36/42.73 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 250.36/42.73 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 250.36/42.73 [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 250.36/42.73 (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) = v3) | ~ $i(v2) | ?
% 250.36/42.73 [v4: $i] : ? [v5: int] : ( ~ (v5 = 0) & c_RealDef_Oreal(tc_Nat_Onat, v2)
% 250.36/42.73 = v4 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) = v5 &
% 250.36/42.73 $i(v4))) & ! [v2: $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 250.36/42.73 v1, v2) = 0) | ~ $i(v2) | ? [v3: $i] : (c_RealDef_Oreal(tc_Nat_Onat,
% 250.36/42.73 v2) = v3 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = 0
% 250.36/42.73 & $i(v3))))
% 250.36/42.73
% 250.36/42.73 (fact_real__of__nat__le__zero__cancel__iff)
% 250.36/42.73 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 250.36/42.73 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 250.36/42.73 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 250.36/42.73 [v2: $i] : ! [v3: $i] : (v2 = v1 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v2) =
% 250.36/42.73 v3) | ~ $i(v2) | ? [v4: int] : ( ~ (v4 = 0) &
% 250.36/42.73 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) = v4)) & !
% 250.36/42.73 [v2: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) |
% 250.36/42.73 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) = 0))
% 250.36/42.73
% 250.36/42.73 (fact_real__of__nat__zero)
% 250.36/42.73 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 250.36/42.73 (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1 &
% 250.36/42.73 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 250.36/42.73 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0))
% 250.36/42.73
% 250.36/42.73 (fact_real__of__nat__zero__iff)
% 250.36/42.73 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 250.36/42.73 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 250.36/42.73 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 250.36/42.73 [v2: $i] : (v2 = v1 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v2) = v0) | ~
% 250.36/42.73 $i(v2)) & ! [v2: $i] : (v2 = v0 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) =
% 250.36/42.73 v2)))
% 250.36/42.73
% 250.36/42.73 (fact_real__sum__of__halves)
% 250.36/42.73 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 250.36/42.73 $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 250.36/42.73 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) &
% 250.36/42.73 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v3 | ~
% 250.36/42.73 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v4) = v5) | ~
% 250.36/42.73 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v3, v2) = v4) | ~
% 250.36/42.73 $i(v3)))
% 250.36/42.73
% 250.36/42.73 (fact_real__two__squares__add__zero__iff)
% 250.36/42.73 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.36/42.73 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 250.36/42.73 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 250.36/42.73 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v2) = v3) | ~
% 250.36/42.73 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v1) = v4) | ~
% 250.36/42.73 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v4) = v0) | ~ $i(v2) |
% 250.36/42.73 ~ $i(v1) | (v2 = v0 & v1 = v0)) & ! [v1: $i] : ! [v2: $i] : (v2 = v0 |
% 250.36/42.73 ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0, v0) = v1) | ~
% 250.36/42.73 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v1) = v2)))
% 250.36/42.73
% 250.36/42.73 (fact_real__zero__not__eq__one)
% 250.36/42.73 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 250.36/42.73 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 250.36/42.73 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0))
% 250.36/42.73
% 250.36/42.73 (fact_rel__simps_I2_J)
% 250.36/42.73 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: int] : ( ~ (v0 = 0) &
% 250.36/42.73 c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OPls) = v0)
% 250.36/42.73
% 250.36/42.74 (fact_right__minus__eq)
% 250.36/42.74 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 250.36/42.74 (c_Groups_Ominus__class_Ominus(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 250.36/42.74 ~ $i(v0) | ? [v4: any] : ? [v5: $i] : (class_Groups_Ogroup__add(v2) = v4 &
% 250.36/42.74 c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v5) & ( ~ (v4 = 0) | (( ~ (v5 =
% 250.36/42.74 v3) | v1 = v0) & ( ~ (v1 = v0) | v5 = v3)))))
% 250.36/42.74
% 250.36/42.74 (fact_rp)
% 250.36/42.74 $i(v_r) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.36/42.74 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v_r) = 0 &
% 250.36/42.74 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0))
% 250.36/42.74
% 250.36/42.74 (fact_s)
% 250.36/42.74 $i(v_r) & $i(v_s____) & $i(v_p) & $i(tc_Complex_Ocomplex) &
% 250.36/42.74 $i(tc_RealDef_Oreal) & ? [v0: $i] : (c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 250.36/42.74 v_p) = v0 & $i(v0) & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 250.36/42.74 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v_s____) = v2) | ~
% 250.36/42.74 $i(v1) | ! [v3: $i] : ! [v4: $i] : ( ~
% 250.36/42.74 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v4) | ~ $i(v3)
% 250.36/42.74 | ? [v5: int] : ( ~ (v5 = 0) &
% 250.36/42.74 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v3) = v5) | !
% 250.36/42.74 [v5: $i] : ! [v6: $i] : ( ~ (hAPP(v0, v5) = v6) | ~ $i(v5) | ? [v7:
% 250.36/42.74 $i] : ? [v8: any] : ? [v9: $i] :
% 250.36/42.74 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7, v_r) = v8 &
% 250.36/42.74 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = v9 &
% 250.36/42.74 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v7 &
% 250.36/42.74 $i(v9) & $i(v7) & ( ~ (v9 = v4) | ~ (v8 = 0)))))) & ! [v1: $i] : (
% 250.36/42.74 ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v_s____) = 0) | ~
% 250.36/42.74 $i(v1) | ? [v2: $i] : ? [v3: $i] :
% 250.36/42.74 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3 &
% 250.36/42.74 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) = 0 & $i(v3) &
% 250.36/42.74 $i(v2) & ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 250.36/42.74 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v_r) = 0 &
% 250.36/42.74 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = v3 &
% 250.36/42.74 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 &
% 250.36/42.74 hAPP(v0, v4) = v6 & $i(v6) & $i(v5) & $i(v4)))))
% 250.36/42.74
% 250.36/42.74 (fact_s1)
% 250.36/42.74 $i(v_r) & $i(v_s____) & $i(v_p) & $i(tc_Complex_Ocomplex) &
% 250.36/42.74 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 250.36/42.74 (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 &
% 250.36/42.74 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v1 & $i(v1) &
% 250.36/42.74 $i(v0) & ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 250.36/42.74 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) = v3) | ~ $i(v2)
% 250.36/42.74 | ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 250.36/42.74 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6) | ~
% 250.36/42.74 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v2) = 0) | ~
% 250.36/42.74 (hAPP(v0, v4) = v5) | ~ $i(v4) | ? [v7: $i] : ? [v8: int] : ( ~ (v8 =
% 250.36/42.74 0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7, v_r) =
% 250.36/42.74 v8 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v7 &
% 250.36/42.74 $i(v7)))) & ! [v2: $i] : ( ~
% 250.36/42.74 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) = 0) | ~ $i(v2)
% 250.36/42.74 | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 250.36/42.74 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v_r) = 0 &
% 250.36/42.74 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6 &
% 250.36/42.74 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 250.36/42.74 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v2) = 0 & hAPP(v0,
% 250.36/42.74 v3) = v5 & $i(v6) & $i(v5) & $i(v4) & $i(v3))))
% 250.36/42.74
% 250.36/42.74 (fact_s1m)
% 250.36/42.74 $i(v_r) & $i(v_s____) & $i(v_p) & $i(tc_Complex_Ocomplex) &
% 250.36/42.74 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 250.36/42.74 (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v1 &
% 250.36/42.74 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v0 & $i(v1) &
% 250.36/42.74 $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~ (hAPP(v1, v2) = v3) | ~ $i(v2) |
% 250.36/42.74 ? [v4: $i] : ? [v5: any] : ? [v6: $i] : ? [v7: any] :
% 250.36/42.74 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v_r) = v5 &
% 250.36/42.74 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v6) = v7 &
% 250.36/42.74 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v6 &
% 250.36/42.74 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v4 & $i(v6) &
% 250.36/42.74 $i(v4) & ( ~ (v5 = 0) | v7 = 0))))
% 250.36/42.74
% 250.36/42.74 (fact_semiring__norm_I110_J)
% 250.36/42.74 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & !
% 250.36/42.74 [v1: $i] : ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2)
% 250.36/42.74 | ~ $i(v1) | ? [v3: any] : ? [v4: $i] : (c_Groups_Oone__class_Oone(v1)
% 250.36/42.74 = v4 & class_Int_Onumber__ring(v1) = v3 & $i(v4) & ( ~ (v3 = 0) | v4 =
% 250.36/42.74 v2))))
% 250.36/42.74
% 250.36/42.74 (fact_semiring__norm_I115_J)
% 250.36/42.74 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 250.36/42.74 ? [v3: $i] : ? [v4: $i] : (c_Nat_OSuc(v1) = v2 & c_Nat_OSuc(v0) = v1 &
% 250.36/42.74 c_Int_OBit1(c_Int_OPls) = v3 & c_Int_OBit0(v3) = v4 &
% 250.36/42.74 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v4) = v2 &
% 250.36/42.74 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v4) & $i(v3) & $i(v2) &
% 250.36/42.74 $i(v1) & $i(v0))
% 250.36/42.74
% 250.36/42.74 (fact_tan__45)
% 250.36/42.74 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 250.36/42.74 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 250.36/42.74 (c_Transcendental_Otan(v4) = v5 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 250.36/42.74 = v5 & c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v1) = v2 & c_Int_OBit0(v0)
% 250.36/42.74 = v1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 250.36/42.74 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Transcendental_Opi, v3)
% 250.36/42.74 = v4 & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 250.36/42.74
% 250.36/42.74 (fact_tan__gt__zero)
% 250.36/42.74 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 250.36/42.74 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.36/42.74 (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 250.36/42.74 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 250.36/42.74 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Transcendental_Opi, v3)
% 250.36/42.74 = v4 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v4) & $i(v3)
% 250.36/42.74 & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ( ~
% 250.36/42.74 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v4) = 0) | ~ $i(v5)
% 250.36/42.74 | ? [v6: any] : ? [v7: $i] : ? [v8: any] : (c_Transcendental_Otan(v5) =
% 250.36/42.74 v7 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v7) = v8 &
% 250.36/42.74 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5) = v6 & $i(v7) &
% 250.36/42.74 ( ~ (v6 = 0) | v8 = 0))))
% 250.36/42.74
% 250.36/42.74 (fact_tan__inverse)
% 250.36/42.74 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 250.36/42.74 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.36/42.74 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & c_Int_OBit1(c_Int_OPls) =
% 250.36/42.74 v1 & c_Int_OBit0(v1) = v2 &
% 250.36/42.74 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 250.36/42.74 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Transcendental_Opi, v3)
% 250.36/42.74 = v4 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6:
% 250.36/42.74 $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v4, v5) = v6) |
% 250.36/42.74 ~ $i(v5) | ? [v7: $i] : ? [v8: $i] : (c_Transcendental_Otan(v6) = v8 &
% 250.36/42.74 c_Transcendental_Otan(v5) = v7 &
% 250.36/42.74 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, v7) = v8 & $i(v8)
% 250.36/42.74 & $i(v7))))
% 250.36/42.74
% 250.36/42.74 (fact_tan__less__zero)
% 250.36/42.75 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 250.36/42.75 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 250.36/42.75 (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 250.36/42.75 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 250.36/42.75 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, v3) = v4 &
% 250.36/42.75 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v5 &
% 250.36/42.75 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_Transcendental_Opi) = v0
% 250.36/42.75 & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v6: $i] : ( ~
% 250.36/42.75 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6) = 0) | ~ $i(v6)
% 250.36/42.75 | ? [v7: any] : ? [v8: $i] : ? [v9: any] : (c_Transcendental_Otan(v6) =
% 250.36/42.75 v8 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v5) = v9 &
% 250.36/42.75 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v5) = v7 & $i(v8) &
% 250.36/42.75 ( ~ (v7 = 0) | v9 = 0))))
% 250.36/42.75
% 250.36/42.75 (fact_tan__monotone)
% 250.36/42.75 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 250.36/42.75 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.36/42.75 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 250.36/42.75 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 250.36/42.75 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Transcendental_Opi, v2)
% 250.36/42.75 = v3 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v4 & $i(v4) &
% 250.36/42.75 $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ( ~
% 250.36/42.75 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v3) = 0) | ~
% 250.36/42.75 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6) = 0) | ~ $i(v6)
% 250.36/42.75 | ~ $i(v5) | ? [v7: any] : ? [v8: $i] : ? [v9: $i] : ? [v10: any] :
% 250.36/42.75 (c_Transcendental_Otan(v6) = v8 & c_Transcendental_Otan(v5) = v9 &
% 250.36/42.75 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v9) = v10 &
% 250.36/42.75 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v5) = v7 & $i(v9) &
% 250.36/42.75 $i(v8) & ( ~ (v7 = 0) | v10 = 0))))
% 250.36/42.75
% 250.36/42.75 (fact_tan__monotone_H)
% 250.36/42.75 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 250.36/42.75 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.36/42.75 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 250.36/42.75 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 250.36/42.75 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Transcendental_Opi, v2)
% 250.36/42.75 = v3 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v4 & $i(v4) &
% 250.36/42.75 $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ( ~
% 250.36/42.75 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6) = 0) | ~
% 250.36/42.75 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v5) = 0) | ~ $i(v6)
% 250.36/42.75 | ~ $i(v5) | ? [v7: any] : ? [v8: any] : ? [v9: any] : ? [v10: $i] :
% 250.36/42.75 ? [v11: $i] : ? [v12: any] : (c_Transcendental_Otan(v6) = v10 &
% 250.36/42.75 c_Transcendental_Otan(v5) = v11 &
% 250.36/42.75 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v11) = v12 &
% 250.36/42.75 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v5) = v9 &
% 250.36/42.75 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v3) = v7 &
% 250.36/42.75 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v3) = v8 & $i(v11) &
% 250.36/42.75 $i(v10) & ( ~ (v8 = 0) | ~ (v7 = 0) | (( ~ (v12 = 0) | v9 = 0) & ( ~
% 250.36/42.75 (v9 = 0) | v12 = 0))))))
% 250.36/42.75
% 250.36/42.75 (fact_tan__npi)
% 250.36/42.75 $i(c_Transcendental_Opi) & $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0:
% 250.36/42.75 $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1:
% 250.36/42.75 $i] : ! [v2: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~
% 250.36/42.75 $i(v1) | ? [v3: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,
% 250.36/42.75 v2, c_Transcendental_Opi) = v3 & c_Transcendental_Otan(v3) = v0 &
% 250.36/42.75 $i(v3))))
% 250.36/42.75
% 250.36/42.75 (fact_tan__periodic)
% 250.36/42.75 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 250.36/42.75 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 250.36/42.75 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, c_Transcendental_Opi) =
% 250.36/42.75 v3 & c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 250.36/42.75 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v3) &
% 250.36/42.75 $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~
% 250.36/42.75 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5) | ~ $i(v4) |
% 250.36/42.75 ? [v6: $i] : (c_Transcendental_Otan(v5) = v6 & c_Transcendental_Otan(v4)
% 250.36/42.75 = v6 & $i(v6))))
% 250.36/42.75
% 250.36/42.75 (fact_tan__pi)
% 250.36/42.75 $i(c_Transcendental_Opi) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.36/42.75 (c_Transcendental_Otan(c_Transcendental_Opi) = v0 &
% 250.36/42.75 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0))
% 250.36/42.75
% 250.36/42.75 (fact_tan__total)
% 250.36/42.75 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 250.36/42.75 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.36/42.75 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 250.36/42.75 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 250.36/42.75 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Transcendental_Opi, v2)
% 250.36/42.75 = v3 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v4 & $i(v4) &
% 250.36/42.75 $i(v3) & $i(v2) & $i(v1) & $i(v0) & ? [v5: $i] : ( ~ $i(v5) | ? [v6: $i] :
% 250.36/42.75 (c_Transcendental_Otan(v6) = v5 &
% 250.36/42.75 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v3) = 0 &
% 250.36/42.75 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6) = 0 & $i(v6) &
% 250.36/42.75 ! [v7: $i] : (v7 = v6 | ~
% 250.36/42.75 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v7) = 0) | ~
% 250.36/42.75 $i(v7) | ? [v8: any] : ? [v9: $i] : (c_Transcendental_Otan(v7) = v9
% 250.36/42.75 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v3) = v8 &
% 250.36/42.75 $i(v9) & ( ~ (v9 = v5) | ~ (v8 = 0)))))))
% 250.36/42.75
% 250.36/42.75 (fact_tan__total__pi4)
% 250.36/42.75 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 250.36/42.75 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ?
% 250.36/42.75 [v6: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 250.36/42.75 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v2) = v3 & c_Int_OBit0(v1) = v2 &
% 250.36/42.75 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v3) = v4 &
% 250.36/42.75 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Transcendental_Opi, v4)
% 250.36/42.75 = v5 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v5) = v6 & $i(v6) &
% 250.36/42.75 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v7: $i] : ! [v8:
% 250.36/42.75 $i] : ( ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v7) = v8) | ~
% 250.36/42.75 $i(v7) | ? [v9: int] : ( ~ (v9 = 0) &
% 250.36/42.75 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v0) = v9) | ? [v9:
% 250.36/42.75 $i] : (c_Transcendental_Otan(v9) = v7 &
% 250.36/42.75 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v5) = 0 &
% 250.36/42.75 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v9) = 0 & $i(v9))))
% 250.36/42.75
% 250.36/42.75 (fact_tan__total__pos)
% 250.36/42.75 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 250.36/42.75 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.36/42.75 (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 250.36/42.75 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 250.36/42.75 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Transcendental_Opi, v3)
% 250.36/42.75 = v4 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v4) & $i(v3)
% 250.36/42.75 & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ( ~
% 250.36/42.75 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v5) = 0) | ~
% 250.36/42.75 $i(v5) | ? [v6: $i] : (c_Transcendental_Otan(v6) = v5 &
% 250.36/42.75 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v6) = 0 &
% 250.36/42.75 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v4) = 0 & $i(v6))))
% 250.36/42.75
% 250.36/42.75 (fact_tan__zero)
% 250.36/42.75 $i(tc_RealDef_Oreal) & ? [v0: $i] : (c_Transcendental_Otan(v0) = v0 &
% 250.36/42.75 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0))
% 250.36/42.75
% 250.36/42.75 (fact_th)
% 250.36/42.75 $i(v_r) & $i(tc_Nat_Onat) & $i(v_s____) & $i(v_p) & $i(tc_Complex_Ocomplex) &
% 250.36/42.75 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 250.36/42.75 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v2 &
% 250.36/42.75 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 &
% 250.36/42.75 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v1 & $i(v2) &
% 250.36/42.75 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~ (c_Nat_OSuc(v3) = v4) | ~
% 250.36/42.75 $i(v3) | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 250.36/42.75 (c_RealDef_Oreal(tc_Nat_Onat, v4) = v5 &
% 250.36/42.75 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v6) = v7 &
% 250.36/42.75 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v5) = v6 & $i(v7)
% 250.36/42.75 & $i(v6) & $i(v5) & ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11:
% 250.36/42.75 $i] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9, v_r) =
% 250.36/42.75 0 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v10) = v11 &
% 250.36/42.75 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v8) = v9 &
% 250.36/42.75 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v7) = 0 &
% 250.36/42.75 hAPP(v0, v8) = v10 & $i(v11) & $i(v10) & $i(v9) & $i(v8)))))
% 250.36/42.75
% 250.36/42.75 (fact_w)
% 250.36/42.76 $i(v_d____) & $i(v_z____) & $i(v_wa____) & $i(tc_Complex_Ocomplex) &
% 250.36/42.76 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 250.36/42.76 (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v_wa____, v_z____) = v0 &
% 250.36/42.76 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v1 &
% 250.36/42.76 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v_d____) = 0 & $i(v1) &
% 250.36/42.76 $i(v0))
% 250.36/42.76
% 250.36/42.76 (fact_wr)
% 250.36/42.76 $i(v_w____) & $i(v_r) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ?
% 250.36/42.76 [v0: $i] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v_r) = 0 &
% 250.36/42.76 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v0 & $i(v0))
% 250.36/42.76
% 250.36/42.76 (fact_zabs__def)
% 250.36/42.76 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 250.36/42.76 & $i(v0) & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 250.36/42.76 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = v2) | ~ $i(v1) |
% 250.36/42.76 c_Groups_Oabs__class_Oabs(tc_Int_Oint, v1) = v1) & ! [v1: $i] : ( ~
% 250.36/42.76 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = 0) | ~ $i(v1) | ?
% 250.36/42.76 [v2: $i] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2 &
% 250.36/42.76 c_Groups_Oabs__class_Oabs(tc_Int_Oint, v1) = v2 & $i(v2))))
% 250.36/42.76
% 250.36/42.76 (fact_zabs__less__one__iff)
% 250.36/42.76 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 250.36/42.76 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 &
% 250.36/42.76 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v1 & $i(v1) & $i(v0) & ! [v2:
% 250.36/42.76 $i] : ! [v3: $i] : (v2 = v1 | ~ (c_Groups_Oabs__class_Oabs(tc_Int_Oint,
% 250.36/42.76 v2) = v3) | ~ $i(v2) | ? [v4: int] : ( ~ (v4 = 0) &
% 250.36/42.76 c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0) = v4)) & ! [v2: $i]
% 250.36/42.76 : ( ~ (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v1) = v2) |
% 250.36/42.76 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) = 0))
% 250.36/42.76
% 250.36/42.76 (fact_zadd__0)
% 250.36/42.76 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 250.36/42.76 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 250.36/42.76 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v2) | ~ $i(v1)))
% 250.36/42.76
% 250.36/42.76 (fact_zadd__0__right)
% 250.36/42.76 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 250.36/42.76 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 250.36/42.76 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ $i(v1)))
% 250.36/42.76
% 250.36/42.76 (fact_zadd__zminus__inverse2)
% 250.36/42.76 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 250.36/42.76 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 250.36/42.76 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v3) | ~
% 250.36/42.76 (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2) | ~ $i(v1)))
% 250.36/42.76
% 250.36/42.76 (fact_zero__is__num__zero)
% 250.36/42.76 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] :
% 250.36/42.76 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) = v0 &
% 250.36/42.76 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0))
% 250.36/42.76
% 250.36/42.76 (fact_zero__less__norm__iff)
% 250.36/42.76 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 250.36/42.76 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 250.36/42.76 ! [v2: $i] : ! [v3: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) =
% 250.36/42.76 v3) | ~ $i(v2) | ~ $i(v1) | ? [v4: any] : ? [v5: any] : ? [v6: $i]
% 250.36/42.76 : (class_RealVector_Oreal__normed__vector(v2) = v4 &
% 250.36/42.76 c_Groups_Ozero__class_Ozero(v2) = v6 &
% 250.36/42.76 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = v5 & $i(v6) &
% 250.36/42.76 ( ~ (v4 = 0) | (( ~ (v6 = v1) | ~ (v5 = 0)) & (v6 = v1 | v5 = 0))))))
% 250.36/42.76
% 250.36/42.76 (fact_zero__neq__one)
% 250.36/42.76 ! [v0: $i] : ( ~ (class_Rings_Ozero__neq__one(v0) = 0) | ~ $i(v0) | ? [v1:
% 250.36/42.76 $i] : ? [v2: $i] : ( ~ (v2 = v1) & c_Groups_Oone__class_Oone(v0) = v2 &
% 250.36/42.76 c_Groups_Ozero__class_Ozero(v0) = v1 & $i(v2) & $i(v1)))
% 250.36/42.76
% 250.36/42.76 (fact_zle__add1__eq__le)
% 250.36/42.76 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 &
% 250.36/42.76 $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 |
% 250.36/42.76 ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~
% 250.36/42.76 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3) = v4) | ~ $i(v2) | ~
% 250.36/42.76 $i(v1) | ? [v5: int] : ( ~ (v5 = 0) &
% 250.36/42.76 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1) = v5)) & ! [v1:
% 250.36/42.76 $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 250.36/42.76 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~
% 250.36/42.76 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3) = 0) | ~ $i(v2) | ~
% 250.36/42.76 $i(v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1) = 0))
% 250.36/42.76
% 250.36/42.76 (fact_zle__diff1__eq)
% 250.36/42.76 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 &
% 250.36/42.76 $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 |
% 250.36/42.76 ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3) = v4) | ~
% 250.36/42.76 (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v1, v0) = v3) | ~ $i(v2) | ~
% 250.36/42.76 $i(v1) | ? [v5: int] : ( ~ (v5 = 0) &
% 250.36/42.76 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v5)) & ! [v1: $i]
% 250.36/42.76 : ! [v2: $i] : ! [v3: $i] : ( ~
% 250.36/42.76 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3) = 0) | ~
% 250.36/42.76 (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v1, v0) = v3) | ~ $i(v2) | ~
% 250.36/42.76 $i(v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = 0))
% 250.36/42.76
% 250.36/42.76 (fact_zless__add1__eq)
% 250.36/42.76 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 &
% 250.36/42.76 $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 |
% 250.36/42.76 ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~
% 250.36/42.76 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3) = v4) | ~ $i(v2) | ~
% 250.36/42.76 $i(v1) | ( ~ (v2 = v1) & ? [v5: int] : ( ~ (v5 = 0) &
% 250.36/42.76 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v5))) & ! [v1:
% 250.36/42.76 $i] : ! [v2: $i] : ! [v3: $i] : (v2 = v1 | ~
% 250.36/42.76 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~
% 250.36/42.76 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3) = 0) | ~ $i(v2) | ~
% 250.36/42.76 $i(v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = 0))
% 250.36/42.76
% 250.36/42.76 (fact_zless__imp__add1__zle)
% 250.36/42.76 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 &
% 250.36/42.76 $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 |
% 250.36/42.76 ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v0) = v3) | ~
% 250.36/42.76 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v1) = v4) | ~ $i(v2)
% 250.36/42.76 | ~ $i(v1) | ? [v5: int] : ( ~ (v5 = 0) &
% 250.36/42.76 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v5)))
% 250.36/42.76
% 250.36/42.76 (fact_zminus__0)
% 250.36/42.76 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 250.36/42.76 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v0 & $i(v0))
% 250.36/42.76
% 250.36/42.76 (fact_zmult__1)
% 250.36/42.76 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 &
% 250.36/42.76 $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 250.36/42.76 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v0, v1) = v2) | ~ $i(v1)))
% 250.36/42.76
% 250.36/42.76 (fact_zmult__1__right)
% 250.36/42.76 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 &
% 250.36/42.76 $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 250.36/42.76 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1, v0) = v2) | ~ $i(v1)))
% 250.36/42.76
% 250.36/42.76 (fact_zmult__zless__mono2)
% 250.36/42.77 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 250.36/42.77 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 250.36/42.77 $i] : ! [v6: int] : (v6 = 0 | ~
% 250.36/42.77 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1, v3) = v4) | ~
% 250.36/42.77 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1, v2) = v5) | ~
% 250.36/42.77 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v5) = v6) | ~ $i(v3) | ~
% 250.36/42.77 $i(v2) | ~ $i(v1) | ? [v7: any] : ? [v8: any] :
% 250.36/42.77 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v2) = v7 &
% 250.36/42.77 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) = v8 & ( ~ (v8 = 0) |
% 250.36/42.77 ~ (v7 = 0)))))
% 250.36/42.77
% 250.36/42.77 (function-axioms)
% 250.36/42.78 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0
% 250.36/42.78 | ~ (c_Groups_Otimes__class_Otimes(v4, v3, v2) = v1) | ~
% 250.36/42.78 (c_Groups_Otimes__class_Otimes(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1:
% 250.36/42.78 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 250.36/42.78 (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v1) | ~
% 250.36/42.78 (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 250.36/42.78 : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 250.36/42.78 (c_Polynomial_Oorder(v4, v3, v2) = v1) | ~ (c_Polynomial_Oorder(v4, v3, v2)
% 250.36/42.78 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 250.36/42.78 $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 250.36/42.78 (c_Orderings_Oord__class_Oless__eq(v4, v3, v2) = v1) | ~
% 250.36/42.78 (c_Orderings_Oord__class_Oless__eq(v4, v3, v2) = v0)) & ! [v0: $i] : !
% 250.36/42.78 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 250.36/42.78 (c_Rings_Oinverse__class_Odivide(v4, v3, v2) = v1) | ~
% 250.36/42.78 (c_Rings_Oinverse__class_Odivide(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1:
% 250.36/42.78 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 250.36/42.78 (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v1) | ~
% 250.36/42.78 (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v0)) & ! [v0:
% 250.36/42.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 250.36/42.78 : ! [v4: $i] : (v1 = v0 | ~ (c_Orderings_Oord__class_Oless(v4, v3, v2) = v1)
% 250.36/42.78 | ~ (c_Orderings_Oord__class_Oless(v4, v3, v2) = v0)) & ! [v0: $i] : !
% 250.36/42.78 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 250.36/42.78 (c_Groups_Osgn__class_Osgn(v3, v2) = v1) | ~ (c_Groups_Osgn__class_Osgn(v3,
% 250.36/42.78 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 250.36/42.78 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (c_Int_Oiszero(v3, v2) = v1) | ~
% 250.36/42.78 (c_Int_Oiszero(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 250.36/42.78 [v3: $i] : (v1 = v0 | ~ (c_RealDef_Oreal(v3, v2) = v1) | ~
% 250.36/42.78 (c_RealDef_Oreal(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 250.36/42.78 ! [v3: $i] : (v1 = v0 | ~
% 250.36/42.78 (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(v3, v2) = v1) | ~
% 250.36/42.78 (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(v3, v2) = v0)) & ! [v0:
% 250.36/42.78 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 250.36/42.78 (c_Int_Onumber__class_Onumber__of(v3, v2) = v1) | ~
% 250.36/42.78 (c_Int_Onumber__class_Onumber__of(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 250.36/42.78 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (c_Polynomial_Opoly(v3, v2) = v1)
% 250.36/42.78 | ~ (c_Polynomial_Opoly(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 250.36/42.78 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (c_Groups_Ouminus__class_Ouminus(v3,
% 250.36/42.78 v2) = v1) | ~ (c_Groups_Ouminus__class_Ouminus(v3, v2) = v0)) & ! [v0:
% 250.36/42.78 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 250.36/42.78 (c_Groups_Oabs__class_Oabs(v3, v2) = v1) | ~ (c_Groups_Oabs__class_Oabs(v3,
% 250.36/42.78 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1
% 250.36/42.78 = v0 | ~ (c_RealVector_Onorm__class_Onorm(v3, v2) = v1) | ~
% 250.36/42.78 (c_RealVector_Onorm__class_Onorm(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 250.36/42.78 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP(v3, v2) = v1) | ~ (hAPP(v3,
% 250.36/42.78 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 250.36/42.78 ! [v2: $i] : (v1 = v0 | ~ (class_Groups_Ocancel__comm__monoid__add(v2) = v1)
% 250.36/42.78 | ~ (class_Groups_Ocancel__comm__monoid__add(v2) = v0)) & ! [v0:
% 250.36/42.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 250.36/42.78 ~ (class_Groups_Osgn__if(v2) = v1) | ~ (class_Groups_Osgn__if(v2) = v0)) &
% 250.36/42.78 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 250.36/42.78 (c_Transcendental_Ocos(v2) = v1) | ~ (c_Transcendental_Ocos(v2) = v0)) & !
% 250.36/42.78 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 250.36/42.78 (c_RComplete_Onatceiling(v2) = v1) | ~ (c_RComplete_Onatceiling(v2) = v0))
% 250.36/42.78 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1
% 250.36/42.78 = v0 | ~ (class_Rings_Olinordered__semiring__1__strict(v2) = v1) | ~
% 250.36/42.78 (class_Rings_Olinordered__semiring__1__strict(v2) = v0)) & ! [v0:
% 250.36/42.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 250.36/42.78 ~ (class_Rings_Olinordered__semiring__1(v2) = v1) | ~
% 250.36/42.78 (class_Rings_Olinordered__semiring__1(v2) = v0)) & ! [v0:
% 250.36/42.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 250.36/42.78 ~ (class_RealVector_Oreal__field(v2) = v1) | ~
% 250.36/42.78 (class_RealVector_Oreal__field(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 250.36/42.78 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 250.36/42.78 (class_Rings_Oordered__ring__abs(v2) = v1) | ~
% 250.36/42.78 (class_Rings_Oordered__ring__abs(v2) = v0)) & ! [v0: MultipleValueBool] :
% 250.36/42.78 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 250.36/42.78 (class_Rings_Oring__1(v2) = v1) | ~ (class_Rings_Oring__1(v2) = v0)) & !
% 250.36/42.78 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 250.36/42.78 | ~ (class_Rings_Olinordered__semiring(v2) = v1) | ~
% 250.36/42.78 (class_Rings_Olinordered__semiring(v2) = v0)) & ! [v0: MultipleValueBool] :
% 250.36/42.78 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 250.36/42.78 (class_Rings_Oordered__comm__semiring(v2) = v1) | ~
% 250.36/42.78 (class_Rings_Oordered__comm__semiring(v2) = v0)) & ! [v0:
% 250.36/42.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 250.36/42.78 ~ (class_Rings_Oordered__semiring(v2) = v1) | ~
% 250.36/42.78 (class_Rings_Oordered__semiring(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 250.36/42.78 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 250.36/42.78 (class_Rings_Oordered__ring(v2) = v1) | ~ (class_Rings_Oordered__ring(v2) =
% 250.36/42.78 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 250.36/42.78 $i] : (v1 = v0 | ~ (class_Rings_Oordered__cancel__semiring(v2) = v1) | ~
% 250.36/42.78 (class_Rings_Oordered__cancel__semiring(v2) = v0)) & ! [v0:
% 250.36/42.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 250.36/42.78 ~ (class_Rings_Olinordered__comm__semiring__strict(v2) = v1) | ~
% 250.36/42.78 (class_Rings_Olinordered__comm__semiring__strict(v2) = v0)) & ! [v0:
% 250.36/42.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 250.36/42.78 ~ (class_Rings_Olinordered__semiring__strict(v2) = v1) | ~
% 250.36/42.78 (class_Rings_Olinordered__semiring__strict(v2) = v0)) & ! [v0:
% 250.36/42.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 250.36/42.78 ~ (class_Rings_Olinordered__ring(v2) = v1) | ~
% 250.36/42.78 (class_Rings_Olinordered__ring(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 250.36/42.78 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 250.36/42.78 (class_Rings_Olinordered__ring__strict(v2) = v1) | ~
% 250.36/42.78 (class_Rings_Olinordered__ring__strict(v2) = v0)) & ! [v0:
% 250.36/42.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 250.36/42.78 ~ (class_Rings_Oring__1__no__zero__divisors(v2) = v1) | ~
% 250.36/42.78 (class_Rings_Oring__1__no__zero__divisors(v2) = v0)) & ! [v0:
% 250.36/42.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 250.36/42.78 ~ (class_Rings_Omult__zero(v2) = v1) | ~ (class_Rings_Omult__zero(v2) =
% 250.36/42.78 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 250.36/42.78 $i] : (v1 = v0 | ~ (class_Rings_Oring__no__zero__divisors(v2) = v1) | ~
% 250.36/42.78 (class_Rings_Oring__no__zero__divisors(v2) = v0)) & ! [v0:
% 250.36/42.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 250.36/42.78 ~ (class_Rings_Ono__zero__divisors(v2) = v1) | ~
% 250.36/42.78 (class_Rings_Ono__zero__divisors(v2) = v0)) & ! [v0: MultipleValueBool] :
% 250.36/42.78 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 250.36/42.78 (class_Groups_Oab__semigroup__mult(v2) = v1) | ~
% 250.36/42.78 (class_Groups_Oab__semigroup__mult(v2) = v0)) & ! [v0: MultipleValueBool] :
% 250.36/42.78 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 250.36/42.78 (class_RealVector_Oreal__normed__div__algebra(v2) = v1) | ~
% 250.36/42.78 (class_RealVector_Oreal__normed__div__algebra(v2) = v0)) & ! [v0:
% 250.36/42.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 250.36/42.78 ~ (class_Groups_Omonoid__mult(v2) = v1) | ~ (class_Groups_Omonoid__mult(v2)
% 250.36/42.78 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 250.36/42.78 $i] : (v1 = v0 | ~ (class_Groups_Ocomm__monoid__mult(v2) = v1) | ~
% 250.36/42.78 (class_Groups_Ocomm__monoid__mult(v2) = v0)) & ! [v0: MultipleValueBool] :
% 250.36/42.78 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 250.36/42.78 (class_Rings_Ocomm__semiring(v2) = v1) | ~ (class_Rings_Ocomm__semiring(v2)
% 250.36/42.78 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 250.36/42.78 $i] : (v1 = v0 | ~ (class_Rings_Osemiring(v2) = v1) | ~
% 250.36/42.78 (class_Rings_Osemiring(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 250.36/42.78 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 250.36/42.78 (class_RealVector_Oreal__normed__algebra(v2) = v1) | ~
% 250.36/42.78 (class_RealVector_Oreal__normed__algebra(v2) = v0)) & ! [v0:
% 250.36/42.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 250.36/42.78 ~ (class_Rings_Oring(v2) = v1) | ~ (class_Rings_Oring(v2) = v0)) & ! [v0:
% 250.36/42.78 $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (c_Transcendental_Otan(v2) =
% 250.36/42.78 v1) | ~ (c_Transcendental_Otan(v2) = v0)) & ! [v0: MultipleValueBool] :
% 250.36/42.78 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 250.36/42.78 (class_Rings_Osemiring__1(v2) = v1) | ~ (class_Rings_Osemiring__1(v2) =
% 250.36/42.78 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 250.36/42.78 (c_Transcendental_Oarctan(v2) = v1) | ~ (c_Transcendental_Oarctan(v2) =
% 250.36/42.78 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 250.36/42.78 $i] : (v1 = v0 | ~
% 250.36/42.78 (class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v2)
% 250.36/42.78 = v1) | ~
% 250.36/42.78 (class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v2)
% 250.36/42.78 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 250.36/42.78 $i] : (v1 = v0 | ~ (hBOOL(v2) = v1) | ~ (hBOOL(v2) = v0)) & ! [v0:
% 250.36/42.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 250.36/42.78 ~ (class_Rings_Ocomm__ring__1(v2) = v1) | ~ (class_Rings_Ocomm__ring__1(v2)
% 250.36/42.78 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 250.36/42.78 (c_Nat_OSuc(v2) = v1) | ~ (c_Nat_OSuc(v2) = v0)) & ! [v0:
% 250.36/42.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 250.36/42.78 ~ (class_Orderings_Olinorder(v2) = v1) | ~ (class_Orderings_Olinorder(v2) =
% 250.36/42.78 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 250.36/42.78 $i] : (v1 = v0 | ~ (class_Rings_Ozero__neq__one(v2) = v1) | ~
% 250.36/42.78 (class_Rings_Ozero__neq__one(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 250.36/42.78 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 250.36/42.78 (class_Groups_Ocomm__monoid__add(v2) = v1) | ~
% 250.36/42.78 (class_Groups_Ocomm__monoid__add(v2) = v0)) & ! [v0: MultipleValueBool] :
% 250.36/42.78 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 250.36/42.78 (class_Groups_Omonoid__add(v2) = v1) | ~ (class_Groups_Omonoid__add(v2) =
% 250.36/42.78 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 250.36/42.78 $i] : (v1 = v0 | ~ (class_Rings_Ocomm__semiring__1(v2) = v1) | ~
% 250.36/42.78 (class_Rings_Ocomm__semiring__1(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 250.36/42.78 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 250.36/42.78 (class_Rings_Olinordered__semidom(v2) = v1) | ~
% 250.36/42.78 (class_Rings_Olinordered__semidom(v2) = v0)) & ! [v0: MultipleValueBool] :
% 250.36/42.78 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (class_Groups_Oone(v2)
% 250.36/42.78 = v1) | ~ (class_Groups_Oone(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 250.36/42.78 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 250.36/42.78 (class_Groups_Oab__semigroup__add(v2) = v1) | ~
% 250.36/42.78 (class_Groups_Oab__semigroup__add(v2) = v0)) & ! [v0: MultipleValueBool] :
% 250.36/42.78 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 250.36/42.78 (class_Groups_Oordered__ab__semigroup__add(v2) = v1) | ~
% 250.36/42.78 (class_Groups_Oordered__ab__semigroup__add(v2) = v0)) & ! [v0:
% 250.36/42.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 250.36/42.78 ~ (class_Groups_Ocancel__ab__semigroup__add(v2) = v1) | ~
% 250.36/42.78 (class_Groups_Ocancel__ab__semigroup__add(v2) = v0)) & ! [v0:
% 250.36/42.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 250.36/42.78 ~ (class_Groups_Ocancel__semigroup__add(v2) = v1) | ~
% 250.36/42.78 (class_Groups_Ocancel__semigroup__add(v2) = v0)) & ! [v0:
% 250.36/42.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 250.36/42.78 ~ (class_Groups_Oordered__ab__semigroup__add__imp__le(v2) = v1) | ~
% 250.36/42.78 (class_Groups_Oordered__ab__semigroup__add__imp__le(v2) = v0)) & ! [v0:
% 250.36/42.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 250.36/42.78 ~ (class_Groups_Oordered__cancel__ab__semigroup__add(v2) = v1) | ~
% 250.36/42.78 (class_Groups_Oordered__cancel__ab__semigroup__add(v2) = v0)) & ! [v0:
% 250.36/42.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 250.36/42.78 ~ (class_Groups_Oordered__comm__monoid__add(v2) = v1) | ~
% 250.36/42.78 (class_Groups_Oordered__comm__monoid__add(v2) = v0)) & ! [v0: $i] : ! [v1:
% 250.36/42.78 $i] : ! [v2: $i] : (v1 = v0 | ~ (c_Groups_Oone__class_Oone(v2) = v1) | ~
% 250.36/42.78 (c_Groups_Oone__class_Oone(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 250.36/42.78 $i] : (v1 = v0 | ~ (v_g____(v2) = v1) | ~ (v_g____(v2) = v0)) & ! [v0:
% 250.36/42.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 250.36/42.78 ~ (class_Groups_Olinordered__ab__group__add(v2) = v1) | ~
% 250.36/42.78 (class_Groups_Olinordered__ab__group__add(v2) = v0)) & ! [v0:
% 250.36/42.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 250.36/42.78 ~ (class_Groups_Oordered__ab__group__add(v2) = v1) | ~
% 250.36/42.78 (class_Groups_Oordered__ab__group__add(v2) = v0)) & ! [v0:
% 250.36/42.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 250.36/42.78 ~ (class_Groups_Ozero(v2) = v1) | ~ (class_Groups_Ozero(v2) = v0)) & !
% 250.36/42.78 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 250.36/42.78 | ~ (class_Groups_Oab__group__add(v2) = v1) | ~
% 250.36/42.78 (class_Groups_Oab__group__add(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 250.36/42.78 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 250.36/42.78 (class_Groups_Ogroup__add(v2) = v1) | ~ (class_Groups_Ogroup__add(v2) =
% 250.36/42.78 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 250.36/42.78 $i] : (v1 = v0 | ~ (class_Fields_Olinordered__field(v2) = v1) | ~
% 250.36/42.78 (class_Fields_Olinordered__field(v2) = v0)) & ! [v0: MultipleValueBool] :
% 250.36/42.78 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 250.36/42.78 (class_Groups_Oabs__if(v2) = v1) | ~ (class_Groups_Oabs__if(v2) = v0)) & !
% 250.36/42.78 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 250.36/42.78 | ~ (class_Groups_Oordered__ab__group__add__abs(v2) = v1) | ~
% 250.36/42.78 (class_Groups_Oordered__ab__group__add__abs(v2) = v0)) & ! [v0:
% 250.36/42.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 250.36/42.78 ~ (class_Fields_Olinordered__field__inverse__zero(v2) = v1) | ~
% 250.36/42.78 (class_Fields_Olinordered__field__inverse__zero(v2) = v0)) & ! [v0:
% 250.36/42.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 250.36/42.78 ~ (class_Rings_Oidom(v2) = v1) | ~ (class_Rings_Oidom(v2) = v0)) & ! [v0:
% 250.36/42.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 250.36/42.78 ~ (class_Int_Onumber(v2) = v1) | ~ (class_Int_Onumber(v2) = v0)) & ! [v0:
% 250.36/42.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 250.36/42.78 ~ (class_Int_Oring__char__0(v2) = v1) | ~ (class_Int_Oring__char__0(v2) =
% 250.36/42.78 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 250.36/42.78 $i] : (v1 = v0 | ~ (class_Rings_Odivision__ring(v2) = v1) | ~
% 250.36/42.78 (class_Rings_Odivision__ring(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 250.36/42.78 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 250.36/42.78 (class_Rings_Odivision__ring__inverse__zero(v2) = v1) | ~
% 250.36/42.78 (class_Rings_Odivision__ring__inverse__zero(v2) = v0)) & ! [v0:
% 250.36/42.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 250.36/42.78 ~ (class_Rings_Ocomm__semiring__0(v2) = v1) | ~
% 250.36/42.78 (class_Rings_Ocomm__semiring__0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 250.36/42.78 [v2: $i] : (v1 = v0 | ~ (tc_Polynomial_Opoly(v2) = v1) | ~
% 250.36/42.78 (tc_Polynomial_Opoly(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 250.36/42.78 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 250.36/42.78 (class_Rings_Ocomm__ring(v2) = v1) | ~ (class_Rings_Ocomm__ring(v2) = v0))
% 250.36/42.78 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1
% 250.36/42.78 = v0 | ~ (class_RealVector_Oreal__normed__vector(v2) = v1) | ~
% 250.36/42.78 (class_RealVector_Oreal__normed__vector(v2) = v0)) & ! [v0:
% 250.36/42.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 250.36/42.78 ~ (class_Rings_Olinordered__idom(v2) = v1) | ~
% 250.36/42.78 (class_Rings_Olinordered__idom(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 250.36/42.78 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 250.36/42.78 (class_Fields_Ofield__inverse__zero(v2) = v1) | ~
% 250.36/42.78 (class_Fields_Ofield__inverse__zero(v2) = v0)) & ! [v0: MultipleValueBool]
% 250.36/42.78 : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 250.36/42.78 (class_RealVector_Oreal__normed__field(v2) = v1) | ~
% 250.36/42.78 (class_RealVector_Oreal__normed__field(v2) = v0)) & ! [v0:
% 250.36/42.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 250.36/42.78 ~ (class_Fields_Ofield(v2) = v1) | ~ (class_Fields_Ofield(v2) = v0)) & !
% 250.36/42.78 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 250.36/42.78 | ~ (class_Int_Onumber__ring(v2) = v1) | ~ (class_Int_Onumber__ring(v2) =
% 250.36/42.78 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 250.36/42.78 $i] : (v1 = v0 | ~ (class_RealVector_Oreal__normed__algebra__1(v2) = v1) |
% 250.36/42.78 ~ (class_RealVector_Oreal__normed__algebra__1(v2) = v0)) & ! [v0: $i] : !
% 250.36/42.78 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (c_Int_OBit1(v2) = v1) | ~
% 250.36/42.78 (c_Int_OBit1(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0
% 250.36/42.78 | ~ (c_Int_OBit0(v2) = v1) | ~ (c_Int_OBit0(v2) = v0)) & ! [v0: $i] : !
% 250.36/42.78 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (c_Groups_Ozero__class_Ozero(v2) = v1)
% 250.36/42.78 | ~ (c_Groups_Ozero__class_Ozero(v2) = v0)) & ! [v0: MultipleValueBool] :
% 250.36/42.78 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (c_SEQ_Osubseq(v2) =
% 250.36/42.78 v1) | ~ (c_SEQ_Osubseq(v2) = v0)) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 250.36/42.78 $i] : ? [v3: MultipleValueBool] : (c_Orderings_Oord__class_Oless__eq(v2,
% 250.36/42.78 v1, v0) = v3) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 250.36/42.78 MultipleValueBool] : (c_Orderings_Oord__class_Oless(v2, v1, v0) = v3) & ?
% 250.36/42.78 [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 250.36/42.78 (c_Groups_Otimes__class_Otimes(v2, v1, v0) = v3 & $i(v3)) & ? [v0: $i] : ?
% 250.36/42.78 [v1: $i] : ? [v2: $i] : ? [v3: $i] : (c_Groups_Oplus__class_Oplus(v2, v1,
% 250.36/42.78 v0) = v3 & $i(v3)) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i]
% 250.36/42.78 : (c_Polynomial_Oorder(v2, v1, v0) = v3 & $i(v3)) & ? [v0: $i] : ? [v1: $i]
% 250.36/42.78 : ? [v2: $i] : ? [v3: $i] : (c_Rings_Oinverse__class_Odivide(v2, v1, v0) =
% 250.36/42.78 v3 & $i(v3)) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 250.36/42.78 (c_Groups_Ominus__class_Ominus(v2, v1, v0) = v3 & $i(v3)) & ? [v0: $i] : ?
% 250.36/42.78 [v1: $i] : ? [v2: MultipleValueBool] : (c_Int_Oiszero(v1, v0) = v2) & ? [v0:
% 250.36/42.78 $i] : ? [v1: $i] : ? [v2: $i] : (c_Groups_Osgn__class_Osgn(v1, v0) = v2 &
% 250.36/42.78 $i(v2)) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_RealDef_Oreal(v1, v0)
% 250.36/42.78 = v2 & $i(v2)) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 250.36/42.78 (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(v1, v0) = v2 & $i(v2)) & ?
% 250.36/42.78 [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_Onumber__class_Onumber__of(v1,
% 250.36/42.78 v0) = v2 & $i(v2)) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 250.36/42.78 (c_Polynomial_Opoly(v1, v0) = v2 & $i(v2)) & ? [v0: $i] : ? [v1: $i] : ?
% 250.36/42.78 [v2: $i] : (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2 & $i(v2)) & ? [v0:
% 250.36/42.78 $i] : ? [v1: $i] : ? [v2: $i] : (c_Groups_Oabs__class_Oabs(v1, v0) = v2 &
% 250.36/42.78 $i(v2)) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 250.36/42.78 (c_RealVector_Onorm__class_Onorm(v1, v0) = v2 & $i(v2)) & ? [v0: $i] : ?
% 250.36/42.78 [v1: $i] : ? [v2: $i] : (hAPP(v1, v0) = v2 & $i(v2)) & ? [v0: $i] : ? [v1:
% 250.36/42.78 MultipleValueBool] : (class_Groups_Ocancel__comm__monoid__add(v0) = v1) & ?
% 250.36/42.78 [v0: $i] : ? [v1: MultipleValueBool] : (class_Groups_Osgn__if(v0) = v1) & ?
% 250.36/42.78 [v0: $i] : ? [v1: MultipleValueBool] :
% 250.36/42.78 (class_Rings_Olinordered__semiring__1__strict(v0) = v1) & ? [v0: $i] : ?
% 250.36/42.78 [v1: MultipleValueBool] : (class_Rings_Olinordered__semiring__1(v0) = v1) & ?
% 250.36/42.78 [v0: $i] : ? [v1: MultipleValueBool] : (class_RealVector_Oreal__field(v0) =
% 250.36/42.78 v1) & ? [v0: $i] : ? [v1: MultipleValueBool] :
% 250.36/42.78 (class_Rings_Oordered__ring__abs(v0) = v1) & ? [v0: $i] : ? [v1:
% 250.36/42.78 MultipleValueBool] : (class_Rings_Oring__1(v0) = v1) & ? [v0: $i] : ? [v1:
% 250.36/42.78 MultipleValueBool] : (class_Rings_Olinordered__semiring(v0) = v1) & ? [v0:
% 250.36/42.78 $i] : ? [v1: MultipleValueBool] : (class_Rings_Oordered__comm__semiring(v0)
% 250.36/42.78 = v1) & ? [v0: $i] : ? [v1: MultipleValueBool] :
% 250.36/42.78 (class_Rings_Oordered__semiring(v0) = v1) & ? [v0: $i] : ? [v1:
% 250.36/42.78 MultipleValueBool] : (class_Rings_Oordered__ring(v0) = v1) & ? [v0: $i] :
% 250.36/42.78 ? [v1: MultipleValueBool] : (class_Rings_Oordered__cancel__semiring(v0) = v1)
% 250.36/42.78 & ? [v0: $i] : ? [v1: MultipleValueBool] :
% 250.36/42.78 (class_Rings_Olinordered__comm__semiring__strict(v0) = v1) & ? [v0: $i] : ?
% 250.36/42.78 [v1: MultipleValueBool] : (class_Rings_Olinordered__semiring__strict(v0) = v1)
% 250.36/42.78 & ? [v0: $i] : ? [v1: MultipleValueBool] :
% 250.36/42.78 (class_Rings_Olinordered__ring(v0) = v1) & ? [v0: $i] : ? [v1:
% 250.36/42.78 MultipleValueBool] : (class_Rings_Olinordered__ring__strict(v0) = v1) & ?
% 250.36/42.78 [v0: $i] : ? [v1: MultipleValueBool] :
% 250.36/42.78 (class_Rings_Oring__1__no__zero__divisors(v0) = v1) & ? [v0: $i] : ? [v1:
% 250.36/42.78 MultipleValueBool] : (class_Rings_Omult__zero(v0) = v1) & ? [v0: $i] : ?
% 250.36/42.78 [v1: MultipleValueBool] : (class_Rings_Oring__no__zero__divisors(v0) = v1) &
% 250.36/42.78 ? [v0: $i] : ? [v1: MultipleValueBool] : (class_Rings_Ono__zero__divisors(v0)
% 250.36/42.78 = v1) & ? [v0: $i] : ? [v1: MultipleValueBool] :
% 250.36/42.78 (class_Groups_Oab__semigroup__mult(v0) = v1) & ? [v0: $i] : ? [v1:
% 250.36/42.78 MultipleValueBool] : (class_RealVector_Oreal__normed__div__algebra(v0) = v1)
% 250.36/42.78 & ? [v0: $i] : ? [v1: MultipleValueBool] : (class_Groups_Omonoid__mult(v0) =
% 250.36/42.78 v1) & ? [v0: $i] : ? [v1: MultipleValueBool] :
% 250.36/42.78 (class_Groups_Ocomm__monoid__mult(v0) = v1) & ? [v0: $i] : ? [v1:
% 250.36/42.78 MultipleValueBool] : (class_Rings_Ocomm__semiring(v0) = v1) & ? [v0: $i] :
% 250.36/42.78 ? [v1: MultipleValueBool] : (class_Rings_Osemiring(v0) = v1) & ? [v0: $i] :
% 250.36/42.78 ? [v1: MultipleValueBool] : (class_RealVector_Oreal__normed__algebra(v0) = v1)
% 250.36/42.78 & ? [v0: $i] : ? [v1: MultipleValueBool] : (class_Rings_Oring(v0) = v1) & ?
% 250.36/42.78 [v0: $i] : ? [v1: MultipleValueBool] : (class_Rings_Osemiring__1(v0) = v1) &
% 250.36/42.78 ? [v0: $i] : ? [v1: MultipleValueBool] :
% 250.36/42.78 (class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v0) =
% 250.36/42.78 v1) & ? [v0: $i] : ? [v1: MultipleValueBool] : (hBOOL(v0) = v1) & ? [v0:
% 250.36/42.78 $i] : ? [v1: MultipleValueBool] : (class_Rings_Ocomm__ring__1(v0) = v1) &
% 250.36/42.78 ? [v0: $i] : ? [v1: MultipleValueBool] : (class_Orderings_Olinorder(v0) = v1)
% 250.36/42.78 & ? [v0: $i] : ? [v1: MultipleValueBool] : (class_Rings_Ozero__neq__one(v0)
% 250.36/42.78 = v1) & ? [v0: $i] : ? [v1: MultipleValueBool] :
% 250.36/42.78 (class_Groups_Ocomm__monoid__add(v0) = v1) & ? [v0: $i] : ? [v1:
% 250.36/42.78 MultipleValueBool] : (class_Groups_Omonoid__add(v0) = v1) & ? [v0: $i] : ?
% 250.36/42.78 [v1: MultipleValueBool] : (class_Rings_Ocomm__semiring__1(v0) = v1) & ? [v0:
% 250.36/42.78 $i] : ? [v1: MultipleValueBool] : (class_Rings_Olinordered__semidom(v0) =
% 250.36/42.78 v1) & ? [v0: $i] : ? [v1: MultipleValueBool] : (class_Groups_Oone(v0) =
% 250.36/42.78 v1) & ? [v0: $i] : ? [v1: MultipleValueBool] :
% 250.36/42.78 (class_Groups_Oab__semigroup__add(v0) = v1) & ? [v0: $i] : ? [v1:
% 250.36/42.78 MultipleValueBool] : (class_Groups_Oordered__ab__semigroup__add(v0) = v1) &
% 250.36/42.78 ? [v0: $i] : ? [v1: MultipleValueBool] :
% 250.36/42.78 (class_Groups_Ocancel__ab__semigroup__add(v0) = v1) & ? [v0: $i] : ? [v1:
% 250.36/42.78 MultipleValueBool] : (class_Groups_Ocancel__semigroup__add(v0) = v1) & ?
% 250.36/42.78 [v0: $i] : ? [v1: MultipleValueBool] :
% 250.36/42.78 (class_Groups_Oordered__ab__semigroup__add__imp__le(v0) = v1) & ? [v0: $i] :
% 250.36/42.78 ? [v1: MultipleValueBool] :
% 250.36/42.78 (class_Groups_Oordered__cancel__ab__semigroup__add(v0) = v1) & ? [v0: $i] :
% 250.36/42.78 ? [v1: MultipleValueBool] : (class_Groups_Oordered__comm__monoid__add(v0) =
% 250.36/42.78 v1) & ? [v0: $i] : ? [v1: MultipleValueBool] :
% 250.36/42.78 (class_Groups_Olinordered__ab__group__add(v0) = v1) & ? [v0: $i] : ? [v1:
% 250.36/42.78 MultipleValueBool] : (class_Groups_Oordered__ab__group__add(v0) = v1) & ?
% 250.36/42.78 [v0: $i] : ? [v1: MultipleValueBool] : (class_Groups_Ozero(v0) = v1) & ?
% 250.36/42.78 [v0: $i] : ? [v1: MultipleValueBool] : (class_Groups_Oab__group__add(v0) =
% 250.36/42.78 v1) & ? [v0: $i] : ? [v1: MultipleValueBool] :
% 250.36/42.78 (class_Groups_Ogroup__add(v0) = v1) & ? [v0: $i] : ? [v1: MultipleValueBool]
% 250.36/42.78 : (class_Fields_Olinordered__field(v0) = v1) & ? [v0: $i] : ? [v1:
% 250.36/42.78 MultipleValueBool] : (class_Groups_Oabs__if(v0) = v1) & ? [v0: $i] : ?
% 250.36/42.78 [v1: MultipleValueBool] : (class_Groups_Oordered__ab__group__add__abs(v0) =
% 250.36/42.78 v1) & ? [v0: $i] : ? [v1: MultipleValueBool] :
% 250.36/42.78 (class_Fields_Olinordered__field__inverse__zero(v0) = v1) & ? [v0: $i] : ?
% 250.36/42.78 [v1: MultipleValueBool] : (class_Rings_Oidom(v0) = v1) & ? [v0: $i] : ? [v1:
% 250.36/42.78 MultipleValueBool] : (class_Int_Onumber(v0) = v1) & ? [v0: $i] : ? [v1:
% 250.36/42.78 MultipleValueBool] : (class_Int_Oring__char__0(v0) = v1) & ? [v0: $i] : ?
% 250.36/42.78 [v1: MultipleValueBool] : (class_Rings_Odivision__ring(v0) = v1) & ? [v0: $i]
% 250.36/42.78 : ? [v1: MultipleValueBool] : (class_Rings_Odivision__ring__inverse__zero(v0)
% 250.36/42.78 = v1) & ? [v0: $i] : ? [v1: MultipleValueBool] :
% 250.36/42.78 (class_Rings_Ocomm__semiring__0(v0) = v1) & ? [v0: $i] : ? [v1:
% 250.36/42.78 MultipleValueBool] : (class_Rings_Ocomm__ring(v0) = v1) & ? [v0: $i] : ?
% 250.36/42.78 [v1: MultipleValueBool] : (class_RealVector_Oreal__normed__vector(v0) = v1) &
% 250.36/42.78 ? [v0: $i] : ? [v1: MultipleValueBool] : (class_Rings_Olinordered__idom(v0) =
% 250.36/42.78 v1) & ? [v0: $i] : ? [v1: MultipleValueBool] :
% 250.36/42.78 (class_Fields_Ofield__inverse__zero(v0) = v1) & ? [v0: $i] : ? [v1:
% 250.36/42.78 MultipleValueBool] : (class_RealVector_Oreal__normed__field(v0) = v1) & ?
% 250.36/42.78 [v0: $i] : ? [v1: MultipleValueBool] : (class_Fields_Ofield(v0) = v1) & ?
% 250.36/42.78 [v0: $i] : ? [v1: MultipleValueBool] : (class_Int_Onumber__ring(v0) = v1) &
% 250.36/42.78 ? [v0: $i] : ? [v1: MultipleValueBool] :
% 250.36/42.78 (class_RealVector_Oreal__normed__algebra__1(v0) = v1) & ? [v0: $i] : ? [v1:
% 250.36/42.78 MultipleValueBool] : (c_SEQ_Osubseq(v0) = v1) & ? [v0: $i] : ? [v1: $i] :
% 250.36/42.78 (c_Transcendental_Ocos(v0) = v1 & $i(v1)) & ? [v0: $i] : ? [v1: $i] :
% 250.36/42.78 (c_RComplete_Onatceiling(v0) = v1 & $i(v1)) & ? [v0: $i] : ? [v1: $i] :
% 250.36/42.78 (c_Transcendental_Otan(v0) = v1 & $i(v1)) & ? [v0: $i] : ? [v1: $i] :
% 250.36/42.78 (c_Transcendental_Oarctan(v0) = v1 & $i(v1)) & ? [v0: $i] : ? [v1: $i] :
% 250.36/42.78 (c_Nat_OSuc(v0) = v1 & $i(v1)) & ? [v0: $i] : ? [v1: $i] :
% 250.36/42.78 (c_Groups_Oone__class_Oone(v0) = v1 & $i(v1)) & ? [v0: $i] : ? [v1: $i] :
% 250.36/42.78 (v_g____(v0) = v1 & $i(v1)) & ? [v0: $i] : ? [v1: $i] :
% 250.36/42.78 (tc_Polynomial_Opoly(v0) = v1 & $i(v1)) & ? [v0: $i] : ? [v1: $i] :
% 250.36/42.78 (c_Int_OBit1(v0) = v1 & $i(v1)) & ? [v0: $i] : ? [v1: $i] : (c_Int_OBit0(v0)
% 250.36/42.78 = v1 & $i(v1)) & ? [v0: $i] : ? [v1: $i] :
% 250.36/42.78 (c_Groups_Ozero__class_Ozero(v0) = v1 & $i(v1))
% 250.36/42.78
% 250.36/42.78 Further assumptions not needed in the proof:
% 250.36/42.78 --------------------------------------------
% 250.36/42.78 arity_Complex__Ocomplex__Fields_Ofield,
% 250.36/42.78 arity_Complex__Ocomplex__Fields_Ofield__inverse__zero,
% 250.36/42.78 arity_Complex__Ocomplex__Groups_Oab__semigroup__add,
% 250.36/42.78 arity_Complex__Ocomplex__Groups_Oab__semigroup__mult,
% 250.36/42.78 arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add,
% 250.36/42.78 arity_Complex__Ocomplex__Groups_Ocancel__comm__monoid__add,
% 250.36/42.78 arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add,
% 250.36/42.78 arity_Complex__Ocomplex__Groups_Ocomm__monoid__add,
% 250.36/42.78 arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult,
% 250.36/42.78 arity_Complex__Ocomplex__Groups_Omonoid__add,
% 250.36/42.78 arity_Complex__Ocomplex__Groups_Omonoid__mult,
% 250.36/42.78 arity_Complex__Ocomplex__Groups_Oone, arity_Complex__Ocomplex__Groups_Ozero,
% 250.36/42.78 arity_Complex__Ocomplex__Int_Onumber,
% 250.36/42.78 arity_Complex__Ocomplex__Int_Onumber__ring,
% 250.36/42.78 arity_Complex__Ocomplex__Int_Oring__char__0,
% 250.36/42.78 arity_Complex__Ocomplex__RealVector_Oreal__field,
% 250.36/42.78 arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,
% 250.36/42.78 arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,
% 250.36/42.78 arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,
% 250.36/42.78 arity_Complex__Ocomplex__RealVector_Oreal__normed__field,
% 250.36/42.78 arity_Complex__Ocomplex__Rings_Ocomm__ring,
% 250.36/42.78 arity_Complex__Ocomplex__Rings_Ocomm__ring__1,
% 250.36/42.78 arity_Complex__Ocomplex__Rings_Ocomm__semiring,
% 250.36/42.78 arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,
% 250.36/42.78 arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,
% 250.36/42.78 arity_Complex__Ocomplex__Rings_Odivision__ring,
% 250.36/42.78 arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero,
% 250.36/42.78 arity_Complex__Ocomplex__Rings_Oidom,
% 250.36/42.78 arity_Complex__Ocomplex__Rings_Omult__zero,
% 250.36/42.78 arity_Complex__Ocomplex__Rings_Ono__zero__divisors,
% 250.36/42.78 arity_Complex__Ocomplex__Rings_Oring, arity_Complex__Ocomplex__Rings_Oring__1,
% 250.36/42.78 arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors,
% 250.36/42.78 arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors,
% 250.36/42.78 arity_Complex__Ocomplex__Rings_Osemiring,
% 250.36/42.78 arity_Complex__Ocomplex__Rings_Osemiring__1,
% 250.36/42.78 arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,
% 250.36/42.78 arity_Int__Oint__Groups_Oab__group__add,
% 250.36/42.78 arity_Int__Oint__Groups_Oab__semigroup__add,
% 250.36/42.78 arity_Int__Oint__Groups_Oab__semigroup__mult, arity_Int__Oint__Groups_Oabs__if,
% 250.36/42.78 arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,
% 250.36/42.78 arity_Int__Oint__Groups_Ocancel__comm__monoid__add,
% 250.36/42.78 arity_Int__Oint__Groups_Ocancel__semigroup__add,
% 250.36/42.78 arity_Int__Oint__Groups_Ocomm__monoid__add,
% 250.36/42.78 arity_Int__Oint__Groups_Ocomm__monoid__mult,
% 250.36/42.78 arity_Int__Oint__Groups_Ogroup__add,
% 250.36/42.78 arity_Int__Oint__Groups_Olinordered__ab__group__add,
% 250.36/42.78 arity_Int__Oint__Groups_Omonoid__add, arity_Int__Oint__Groups_Omonoid__mult,
% 250.36/42.78 arity_Int__Oint__Groups_Oone, arity_Int__Oint__Groups_Oordered__ab__group__add,
% 250.36/42.78 arity_Int__Oint__Groups_Oordered__ab__group__add__abs,
% 250.36/42.78 arity_Int__Oint__Groups_Oordered__ab__semigroup__add,
% 250.36/42.78 arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,
% 250.36/42.78 arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,
% 250.36/42.78 arity_Int__Oint__Groups_Oordered__comm__monoid__add,
% 250.36/42.78 arity_Int__Oint__Groups_Osgn__if, arity_Int__Oint__Groups_Ozero,
% 250.36/42.78 arity_Int__Oint__Int_Onumber, arity_Int__Oint__Int_Onumber__ring,
% 250.36/42.78 arity_Int__Oint__Int_Oring__char__0, arity_Int__Oint__Orderings_Olinorder,
% 250.36/42.78 arity_Int__Oint__Rings_Ocomm__ring, arity_Int__Oint__Rings_Ocomm__ring__1,
% 250.36/42.78 arity_Int__Oint__Rings_Ocomm__semiring,
% 250.36/42.78 arity_Int__Oint__Rings_Ocomm__semiring__0,
% 250.36/42.78 arity_Int__Oint__Rings_Ocomm__semiring__1, arity_Int__Oint__Rings_Oidom,
% 250.36/42.78 arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,
% 250.36/42.78 arity_Int__Oint__Rings_Olinordered__idom,
% 250.36/42.78 arity_Int__Oint__Rings_Olinordered__ring,
% 250.36/42.78 arity_Int__Oint__Rings_Olinordered__ring__strict,
% 250.36/42.78 arity_Int__Oint__Rings_Olinordered__semidom,
% 250.36/42.78 arity_Int__Oint__Rings_Olinordered__semiring,
% 250.36/42.78 arity_Int__Oint__Rings_Olinordered__semiring__1,
% 250.36/42.78 arity_Int__Oint__Rings_Olinordered__semiring__1__strict,
% 250.36/42.78 arity_Int__Oint__Rings_Olinordered__semiring__strict,
% 250.36/42.78 arity_Int__Oint__Rings_Omult__zero, arity_Int__Oint__Rings_Ono__zero__divisors,
% 250.36/42.78 arity_Int__Oint__Rings_Oordered__cancel__semiring,
% 250.36/42.78 arity_Int__Oint__Rings_Oordered__comm__semiring,
% 250.36/42.78 arity_Int__Oint__Rings_Oordered__ring,
% 250.36/42.78 arity_Int__Oint__Rings_Oordered__ring__abs,
% 250.36/42.78 arity_Int__Oint__Rings_Oordered__semiring, arity_Int__Oint__Rings_Oring,
% 250.36/42.78 arity_Int__Oint__Rings_Oring__1,
% 250.36/42.78 arity_Int__Oint__Rings_Oring__1__no__zero__divisors,
% 250.36/42.78 arity_Int__Oint__Rings_Oring__no__zero__divisors,
% 250.36/42.78 arity_Int__Oint__Rings_Osemiring, arity_Int__Oint__Rings_Osemiring__1,
% 250.36/42.78 arity_Int__Oint__Rings_Ozero__neq__one,
% 250.36/42.78 arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,
% 250.36/42.78 arity_Nat__Onat__Groups_Oab__semigroup__add,
% 250.36/42.78 arity_Nat__Onat__Groups_Oab__semigroup__mult,
% 250.36/42.78 arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,
% 250.36/42.78 arity_Nat__Onat__Groups_Ocancel__comm__monoid__add,
% 250.36/42.78 arity_Nat__Onat__Groups_Ocancel__semigroup__add,
% 250.36/42.78 arity_Nat__Onat__Groups_Ocomm__monoid__add,
% 250.36/42.78 arity_Nat__Onat__Groups_Ocomm__monoid__mult,
% 250.36/42.78 arity_Nat__Onat__Groups_Omonoid__add, arity_Nat__Onat__Groups_Omonoid__mult,
% 250.36/42.78 arity_Nat__Onat__Groups_Oone,
% 250.36/42.78 arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,
% 250.36/42.78 arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,
% 250.36/42.78 arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,
% 250.36/42.78 arity_Nat__Onat__Groups_Oordered__comm__monoid__add,
% 250.36/42.78 arity_Nat__Onat__Groups_Ozero, arity_Nat__Onat__Int_Onumber,
% 250.36/42.78 arity_Nat__Onat__Orderings_Olinorder, arity_Nat__Onat__Rings_Ocomm__semiring,
% 250.36/42.78 arity_Nat__Onat__Rings_Ocomm__semiring__0,
% 250.36/42.78 arity_Nat__Onat__Rings_Ocomm__semiring__1,
% 250.36/42.78 arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,
% 250.36/42.78 arity_Nat__Onat__Rings_Olinordered__semidom,
% 250.36/42.78 arity_Nat__Onat__Rings_Olinordered__semiring,
% 250.36/42.78 arity_Nat__Onat__Rings_Olinordered__semiring__strict,
% 250.36/42.78 arity_Nat__Onat__Rings_Omult__zero, arity_Nat__Onat__Rings_Ono__zero__divisors,
% 250.36/42.78 arity_Nat__Onat__Rings_Oordered__cancel__semiring,
% 250.36/42.78 arity_Nat__Onat__Rings_Oordered__comm__semiring,
% 250.36/42.78 arity_Nat__Onat__Rings_Oordered__semiring, arity_Nat__Onat__Rings_Osemiring,
% 250.36/42.78 arity_Nat__Onat__Rings_Osemiring__1, arity_Nat__Onat__Rings_Ozero__neq__one,
% 250.36/42.78 arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,
% 250.36/42.78 arity_Polynomial__Opoly__Groups_Oab__group__add,
% 250.36/42.78 arity_Polynomial__Opoly__Groups_Oab__semigroup__add,
% 250.36/42.78 arity_Polynomial__Opoly__Groups_Oab__semigroup__mult,
% 250.36/42.78 arity_Polynomial__Opoly__Groups_Oabs__if,
% 250.36/42.78 arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add,
% 250.36/42.78 arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add,
% 250.36/42.78 arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add,
% 250.36/42.78 arity_Polynomial__Opoly__Groups_Ocomm__monoid__add,
% 250.36/42.78 arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult,
% 250.36/42.78 arity_Polynomial__Opoly__Groups_Ogroup__add,
% 250.36/42.78 arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add,
% 250.36/42.78 arity_Polynomial__Opoly__Groups_Omonoid__add,
% 250.36/42.78 arity_Polynomial__Opoly__Groups_Omonoid__mult,
% 250.36/42.78 arity_Polynomial__Opoly__Groups_Oone,
% 250.36/42.78 arity_Polynomial__Opoly__Groups_Oordered__ab__group__add,
% 250.36/42.78 arity_Polynomial__Opoly__Groups_Oordered__ab__group__add__abs,
% 250.36/42.78 arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add,
% 250.36/42.78 arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le,
% 250.36/42.78 arity_Polynomial__Opoly__Groups_Oordered__cancel__ab__semigroup__add,
% 250.36/42.78 arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add,
% 250.36/42.78 arity_Polynomial__Opoly__Groups_Osgn__if, arity_Polynomial__Opoly__Groups_Ozero,
% 250.36/42.78 arity_Polynomial__Opoly__Int_Onumber,
% 250.36/42.78 arity_Polynomial__Opoly__Int_Onumber__ring,
% 250.36/42.78 arity_Polynomial__Opoly__Int_Oring__char__0,
% 250.36/42.78 arity_Polynomial__Opoly__Orderings_Olinorder,
% 250.36/42.78 arity_Polynomial__Opoly__Rings_Ocomm__ring,
% 250.36/42.78 arity_Polynomial__Opoly__Rings_Ocomm__ring__1,
% 250.36/42.78 arity_Polynomial__Opoly__Rings_Ocomm__semiring,
% 250.36/42.78 arity_Polynomial__Opoly__Rings_Ocomm__semiring__0,
% 250.36/42.78 arity_Polynomial__Opoly__Rings_Ocomm__semiring__1,
% 250.36/42.78 arity_Polynomial__Opoly__Rings_Oidom,
% 250.36/42.78 arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict,
% 250.36/42.78 arity_Polynomial__Opoly__Rings_Olinordered__idom,
% 250.36/42.78 arity_Polynomial__Opoly__Rings_Olinordered__ring,
% 250.36/42.78 arity_Polynomial__Opoly__Rings_Olinordered__ring__strict,
% 250.36/42.78 arity_Polynomial__Opoly__Rings_Olinordered__semidom,
% 250.36/42.78 arity_Polynomial__Opoly__Rings_Olinordered__semiring,
% 250.36/42.78 arity_Polynomial__Opoly__Rings_Olinordered__semiring__1,
% 250.36/42.78 arity_Polynomial__Opoly__Rings_Olinordered__semiring__1__strict,
% 250.36/42.78 arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict,
% 250.36/42.78 arity_Polynomial__Opoly__Rings_Omult__zero,
% 250.36/42.78 arity_Polynomial__Opoly__Rings_Ono__zero__divisors,
% 250.36/42.78 arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring,
% 250.36/42.78 arity_Polynomial__Opoly__Rings_Oordered__comm__semiring,
% 250.36/42.78 arity_Polynomial__Opoly__Rings_Oordered__ring,
% 250.36/42.78 arity_Polynomial__Opoly__Rings_Oordered__ring__abs,
% 250.36/42.78 arity_Polynomial__Opoly__Rings_Oordered__semiring,
% 250.36/42.78 arity_Polynomial__Opoly__Rings_Oring, arity_Polynomial__Opoly__Rings_Oring__1,
% 250.36/42.78 arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors,
% 250.36/42.78 arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors,
% 250.36/42.78 arity_Polynomial__Opoly__Rings_Osemiring,
% 250.36/42.78 arity_Polynomial__Opoly__Rings_Osemiring__1,
% 250.36/42.78 arity_Polynomial__Opoly__Rings_Ozero__neq__one,
% 250.36/42.78 arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,
% 250.36/42.78 arity_RealDef__Oreal__Fields_Ofield,
% 250.36/42.78 arity_RealDef__Oreal__Fields_Ofield__inverse__zero,
% 250.36/42.78 arity_RealDef__Oreal__Fields_Olinordered__field,
% 250.36/42.78 arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero,
% 250.36/42.78 arity_RealDef__Oreal__Groups_Oab__group__add,
% 250.36/42.78 arity_RealDef__Oreal__Groups_Oab__semigroup__add,
% 250.36/42.78 arity_RealDef__Oreal__Groups_Oab__semigroup__mult,
% 250.36/42.78 arity_RealDef__Oreal__Groups_Oabs__if,
% 250.36/42.78 arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add,
% 250.36/42.78 arity_RealDef__Oreal__Groups_Ocancel__comm__monoid__add,
% 250.36/42.78 arity_RealDef__Oreal__Groups_Ocancel__semigroup__add,
% 250.36/42.78 arity_RealDef__Oreal__Groups_Ocomm__monoid__add,
% 250.36/42.78 arity_RealDef__Oreal__Groups_Ocomm__monoid__mult,
% 250.36/42.78 arity_RealDef__Oreal__Groups_Ogroup__add,
% 250.36/42.78 arity_RealDef__Oreal__Groups_Olinordered__ab__group__add,
% 250.36/42.78 arity_RealDef__Oreal__Groups_Omonoid__add,
% 250.36/42.78 arity_RealDef__Oreal__Groups_Omonoid__mult, arity_RealDef__Oreal__Groups_Oone,
% 250.36/42.78 arity_RealDef__Oreal__Groups_Oordered__ab__group__add,
% 250.36/42.78 arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs,
% 250.36/42.78 arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add,
% 250.36/42.78 arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le,
% 250.36/42.78 arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add,
% 250.36/42.78 arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add,
% 250.36/42.78 arity_RealDef__Oreal__Groups_Osgn__if, arity_RealDef__Oreal__Groups_Ozero,
% 250.36/42.78 arity_RealDef__Oreal__Int_Onumber, arity_RealDef__Oreal__Int_Oring__char__0,
% 250.36/42.78 arity_RealDef__Oreal__Orderings_Olinorder,
% 250.36/42.78 arity_RealDef__Oreal__RealVector_Oreal__field,
% 250.36/42.78 arity_RealDef__Oreal__RealVector_Oreal__normed__algebra,
% 250.36/42.78 arity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,
% 250.36/42.78 arity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,
% 250.36/42.78 arity_RealDef__Oreal__RealVector_Oreal__normed__field,
% 250.36/42.78 arity_RealDef__Oreal__RealVector_Oreal__normed__vector,
% 250.36/42.78 arity_RealDef__Oreal__Rings_Ocomm__ring,
% 250.36/42.78 arity_RealDef__Oreal__Rings_Ocomm__ring__1,
% 250.36/42.78 arity_RealDef__Oreal__Rings_Ocomm__semiring,
% 250.36/42.78 arity_RealDef__Oreal__Rings_Ocomm__semiring__0,
% 250.36/42.78 arity_RealDef__Oreal__Rings_Ocomm__semiring__1,
% 250.36/42.78 arity_RealDef__Oreal__Rings_Odivision__ring,
% 250.36/42.78 arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero,
% 250.36/42.78 arity_RealDef__Oreal__Rings_Oidom,
% 250.36/42.78 arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict,
% 250.36/42.78 arity_RealDef__Oreal__Rings_Olinordered__ring,
% 250.36/42.78 arity_RealDef__Oreal__Rings_Olinordered__ring__strict,
% 250.36/42.78 arity_RealDef__Oreal__Rings_Olinordered__semidom,
% 250.36/42.78 arity_RealDef__Oreal__Rings_Olinordered__semiring,
% 250.36/42.78 arity_RealDef__Oreal__Rings_Olinordered__semiring__1,
% 250.36/42.78 arity_RealDef__Oreal__Rings_Olinordered__semiring__1__strict,
% 250.36/42.78 arity_RealDef__Oreal__Rings_Olinordered__semiring__strict,
% 250.36/42.78 arity_RealDef__Oreal__Rings_Omult__zero,
% 250.36/42.78 arity_RealDef__Oreal__Rings_Ono__zero__divisors,
% 250.36/42.78 arity_RealDef__Oreal__Rings_Oordered__cancel__semiring,
% 250.36/42.78 arity_RealDef__Oreal__Rings_Oordered__comm__semiring,
% 250.36/42.78 arity_RealDef__Oreal__Rings_Oordered__ring,
% 250.36/42.78 arity_RealDef__Oreal__Rings_Oordered__ring__abs,
% 250.36/42.78 arity_RealDef__Oreal__Rings_Oordered__semiring,
% 250.36/42.78 arity_RealDef__Oreal__Rings_Oring, arity_RealDef__Oreal__Rings_Oring__1,
% 250.36/42.78 arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors,
% 250.36/42.78 arity_RealDef__Oreal__Rings_Oring__no__zero__divisors,
% 250.36/42.78 arity_RealDef__Oreal__Rings_Osemiring, arity_RealDef__Oreal__Rings_Osemiring__1,
% 250.36/42.78 arity_RealDef__Oreal__Rings_Ozero__neq__one,
% 250.36/42.78 arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,
% 250.36/42.78 fact_Bit0__Pls, fact_Bit0__def, fact_DERIV__mult__lemma,
% 250.36/42.78 fact_Deriv_Oadd__diff__add, fact_Limits_Ominus__diff__minus,
% 250.36/42.78 fact_Nat_Oadd__0__right, fact_Nat_Odiff__diff__eq, fact_One__nat__def,
% 250.36/42.78 fact_Suc__diff__1, fact_Suc__diff__diff, fact_Suc__diff__le,
% 250.36/42.78 fact_Suc__eq__plus1, fact_Suc__eq__plus1__left, fact_Suc__inject, fact_Suc__leD,
% 250.36/42.78 fact_Suc__leI, fact_Suc__le__eq, fact_Suc__le__lessD, fact_Suc__le__mono,
% 250.36/42.78 fact_Suc__lessD, fact_Suc__lessI, fact_Suc__less__SucD, fact_Suc__less__eq,
% 250.36/42.78 fact_Suc__mono, fact_Suc__mult__cancel1, fact_Suc__mult__le__cancel1,
% 250.36/42.78 fact_Suc__mult__less__cancel1, fact_Suc__n__not__le__n, fact_Suc__n__not__n,
% 250.36/42.78 fact_Suc__neq__Zero, fact_Suc__not__Zero, fact_Suc__pred, fact_Suc__pred_H,
% 250.36/42.78 fact_Zero__neq__Suc, fact_Zero__not__Suc, fact_ab__diff__minus,
% 250.36/42.78 fact_ab__left__minus, fact_ab__semigroup__add__class_Oadd__ac_I1_J,
% 250.36/42.78 fact_ab__semigroup__mult__class_Omult__ac_I1_J, fact_abs__add__abs,
% 250.36/42.78 fact_abs__add__one__not__less__self, fact_abs__diff__less__iff,
% 250.36/42.78 fact_abs__diff__triangle__ineq, fact_abs__div__pos, fact_abs__divide,
% 250.36/42.78 fact_abs__eq__0, fact_abs__eq__mult, fact_abs__ge__minus__self,
% 250.36/42.78 fact_abs__ge__self, fact_abs__ge__zero, fact_abs__idempotent, fact_abs__if,
% 250.36/42.78 fact_abs__leI, fact_abs__le__D1, fact_abs__le__D2, fact_abs__le__iff,
% 250.36/42.78 fact_abs__le__interval__iff, fact_abs__le__zero__iff, fact_abs__less__iff,
% 250.36/42.78 fact_abs__minus__add__cancel, fact_abs__minus__cancel, fact_abs__minus__commute,
% 250.36/42.78 fact_abs__minus__le__zero, fact_abs__mult, fact_abs__mult__less,
% 250.36/42.78 fact_abs__mult__pos, fact_abs__mult__self, fact_abs__not__less__zero,
% 250.36/42.78 fact_abs__number__of, fact_abs__of__neg, fact_abs__of__nonneg,
% 250.36/42.78 fact_abs__of__nonpos, fact_abs__of__pos, fact_abs__one, fact_abs__poly__def,
% 250.36/42.78 fact_abs__real__of__nat__cancel, fact_abs__sgn, fact_abs__sum__triangle__ineq,
% 250.36/42.78 fact_abs__triangle__ineq, fact_abs__triangle__ineq2,
% 250.36/42.78 fact_abs__triangle__ineq2__sym, fact_abs__triangle__ineq3,
% 250.36/42.78 fact_abs__triangle__ineq4, fact_abs__zero, fact_add_Ocomm__neutral, fact_add__0,
% 250.36/42.78 fact_add__0__iff, fact_add__0__left, fact_add__0__right, fact_add__Bit0__Bit0,
% 250.36/42.78 fact_add__Bit0__Bit1, fact_add__Bit1__Bit0, fact_add__Pls, fact_add__Pls__right,
% 250.36/42.78 fact_add__Suc, fact_add__Suc__right, fact_add__Suc__shift,
% 250.36/42.78 fact_add__diff__assoc, fact_add__diff__assoc2, fact_add__diff__cancel,
% 250.36/42.78 fact_add__diff__inverse, fact_add__divide__distrib, fact_add__divide__eq__iff,
% 250.36/42.78 fact_add__eq__0__iff, fact_add__eq__if, fact_add__eq__self__zero,
% 250.36/42.78 fact_add__frac__eq, fact_add__frac__num, fact_add__gr__0, fact_add__imp__eq,
% 250.36/42.78 fact_add__increasing, fact_add__increasing2, fact_add__is__0, fact_add__is__1,
% 250.36/42.78 fact_add__leD1, fact_add__leD2, fact_add__leE, fact_add__le__cancel__left,
% 250.36/42.78 fact_add__le__cancel__right, fact_add__le__imp__le__left,
% 250.36/42.78 fact_add__le__imp__le__right, fact_add__le__less__mono, fact_add__le__mono,
% 250.36/42.78 fact_add__le__mono1, fact_add__left__cancel, fact_add__left__imp__eq,
% 250.36/42.78 fact_add__left__mono, fact_add__lessD1, fact_add__less__cancel__left,
% 250.36/42.78 fact_add__less__cancel__right, fact_add__less__imp__less__left,
% 250.36/42.78 fact_add__less__imp__less__right, fact_add__less__le__mono,
% 250.36/42.78 fact_add__less__mono, fact_add__less__mono1, fact_add__minus__cancel,
% 250.36/42.78 fact_add__mono, fact_add__mult__distrib, fact_add__mult__distrib2,
% 250.36/42.78 fact_add__nat__number__of, fact_add__neg__neg, fact_add__neg__nonpos,
% 250.36/42.78 fact_add__nonneg__eq__0__iff, fact_add__nonneg__nonneg, fact_add__nonneg__pos,
% 250.36/42.78 fact_add__nonpos__neg, fact_add__nonpos__nonpos, fact_add__num__frac,
% 250.36/42.78 fact_add__number__of__diff1, fact_add__number__of__diff2,
% 250.36/42.78 fact_add__number__of__eq, fact_add__number__of__left, fact_add__numeral__0,
% 250.36/42.78 fact_add__numeral__0__right, fact_add__poly__code_I1_J,
% 250.36/42.78 fact_add__poly__code_I2_J, fact_add__pos__nonneg, fact_add__pos__pos,
% 250.36/42.78 fact_add__right__cancel, fact_add__right__imp__eq, fact_add__right__mono,
% 250.36/42.78 fact_add__scale__eq__noteq, fact_add__strict__increasing,
% 250.36/42.78 fact_add__strict__increasing2, fact_add__strict__left__mono,
% 250.36/42.78 fact_add__strict__mono, fact_add__strict__right__mono, fact_arctan__add,
% 250.36/42.78 fact_arctan__minus, fact_arctan__monotone, fact_arctan__monotone_H,
% 250.36/42.78 fact_arith__simps_I30_J, fact_arith__simps_I32_J, fact_combine__common__factor,
% 250.36/42.78 fact_comm__mult__left__mono, fact_comm__mult__strict__left__mono,
% 250.36/42.78 fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,
% 250.36/42.78 fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,
% 250.36/42.78 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,
% 250.36/42.78 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,
% 250.36/42.78 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,
% 250.36/42.78 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,
% 250.36/42.78 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,
% 250.36/42.78 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,
% 250.36/42.78 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,
% 250.36/42.78 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,
% 250.36/42.78 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,
% 250.36/42.78 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,
% 250.36/42.78 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,
% 250.36/42.78 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,
% 250.36/42.78 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,
% 250.36/42.78 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,
% 250.36/42.78 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,
% 250.36/42.78 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,
% 250.36/42.78 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,
% 250.36/42.78 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,
% 250.36/42.78 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,
% 250.36/42.78 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,
% 250.36/42.78 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,
% 250.36/42.78 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,
% 250.36/42.78 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,
% 250.36/42.78 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,
% 250.36/42.78 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,
% 250.36/42.78 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,
% 250.36/42.78 fact_comm__semiring__class_Odistrib, fact_complex__diff__def,
% 250.36/42.78 fact_complex__mod__minus__le__complex__mod, fact_complex__mod__triangle__ineq2,
% 250.36/42.78 fact_complex__mod__triangle__sub, fact_convex__bound__le,
% 250.36/42.78 fact_convex__bound__lt, fact_cos__le__one, fact_cos__minus,
% 250.36/42.78 fact_crossproduct__eq, fact_crossproduct__noteq, fact_diff__0,
% 250.36/42.78 fact_diff__0__eq__0, fact_diff__0__right, fact_diff__Suc__1,
% 250.36/42.78 fact_diff__Suc__Suc, fact_diff__Suc__diff__eq1, fact_diff__Suc__diff__eq2,
% 250.36/42.78 fact_diff__Suc__eq__diff__pred, fact_diff__Suc__less, fact_diff__add__0,
% 250.36/42.78 fact_diff__add__assoc, fact_diff__add__assoc2, fact_diff__add__cancel,
% 250.36/42.78 fact_diff__add__inverse, fact_diff__add__inverse2, fact_diff__bin__simps_I10_J,
% 250.36/42.78 fact_diff__bin__simps_I1_J, fact_diff__bin__simps_I3_J,
% 250.36/42.78 fact_diff__bin__simps_I7_J, fact_diff__bin__simps_I9_J, fact_diff__cancel,
% 250.36/42.78 fact_diff__cancel2, fact_diff__commute, fact_diff__def, fact_diff__diff__cancel,
% 250.36/42.78 fact_diff__diff__left, fact_diff__diff__right, fact_diff__divide__distrib,
% 250.36/42.78 fact_diff__divide__eq__iff, fact_diff__eq__diff__eq, fact_diff__eq__diff__less,
% 250.36/42.78 fact_diff__eq__diff__less__eq, fact_diff__frac__eq, fact_diff__int__def,
% 250.36/42.78 fact_diff__int__def__symmetric, fact_diff__is__0__eq, fact_diff__is__0__eq_H,
% 250.36/42.78 fact_diff__le__mono, fact_diff__le__mono2, fact_diff__le__self, fact_diff__less,
% 250.36/42.78 fact_diff__less__Suc, fact_diff__less__mono, fact_diff__less__mono2,
% 250.36/42.78 fact_diff__minus__eq__add, fact_diff__mult__distrib, fact_diff__mult__distrib2,
% 250.36/42.78 fact_diff__number__of__eq, fact_diff__poly__code_I1_J,
% 250.36/42.78 fact_diff__poly__code_I2_J, fact_diff__self, fact_diff__self__eq__0,
% 250.36/42.78 fact_diffs0__imp__equal, fact_divide_Oadd, fact_divide_Odiff,
% 250.36/42.78 fact_divide_Ominus, fact_divide_Ozero, fact_divide__1, fact_divide__Numeral0,
% 250.36/42.78 fact_divide__add__eq__iff, fact_divide__diff__eq__iff, fact_divide__eq__eq,
% 250.36/42.78 fact_divide__eq__eq__number__of, fact_divide__eq__eq__number__of1,
% 250.36/42.78 fact_divide__eq__imp, fact_divide__le__0__iff, fact_divide__le__eq,
% 250.36/42.78 fact_divide__le__eq__number__of, fact_divide__le__eq__number__of1,
% 250.36/42.78 fact_divide__left__mono, fact_divide__left__mono__neg,
% 250.36/42.78 fact_divide__less__0__iff, fact_divide__less__eq,
% 250.36/42.78 fact_divide__less__eq__number__of, fact_divide__less__eq__number__of1,
% 250.36/42.78 fact_divide__neg__neg, fact_divide__neg__pos, fact_divide__nonneg__neg,
% 250.36/42.78 fact_divide__nonneg__pos, fact_divide__nonpos__neg, fact_divide__nonpos__pos,
% 250.36/42.78 fact_divide__pos__neg, fact_divide__pos__pos, fact_divide__right__mono,
% 250.36/42.78 fact_divide__right__mono__neg, fact_divide__self, fact_divide__self__if,
% 250.36/42.78 fact_divide__strict__left__mono, fact_divide__strict__left__mono__neg,
% 250.36/42.78 fact_divide__strict__right__mono, fact_divide__strict__right__mono__neg,
% 250.36/42.78 fact_divide__zero, fact_divide__zero__left, fact_divisors__zero,
% 250.36/42.78 fact_double__add__le__zero__iff__single__add__le__zero,
% 250.36/42.78 fact_double__add__less__zero__iff__single__add__less__zero,
% 250.36/42.78 fact_double__eq__0__iff, fact_double__number__of__Bit0, fact_double__zero__sym,
% 250.36/42.78 fact_eq__0__number__of, fact_eq__add__iff1, fact_eq__add__iff2,
% 250.36/42.78 fact_eq__diff__iff, fact_eq__divide__eq, fact_eq__divide__eq__number__of,
% 250.36/42.78 fact_eq__divide__eq__number__of1, fact_eq__divide__imp, fact_eq__imp__le,
% 250.36/42.78 fact_eq__neg__iff__add__eq__0, fact_eq__number__of, fact_eq__number__of__0,
% 250.36/42.78 fact_eq__number__of__eq, fact_eq__special_I1_J, fact_eq__special_I3_J,
% 250.36/42.78 fact_equal__neg__zero, fact_equation__minus__iff, fact_even__less__0__iff,
% 250.36/42.78 fact_expand__Suc, fact_ext, fact_frac__eq__eq, fact_frac__le, fact_frac__less,
% 250.36/42.78 fact_frac__less2, fact_fz_I1_J, fact_g_I1_J, fact_gr0I, fact_gr0__conv__Suc,
% 250.36/42.78 fact_gr__implies__not0, fact_gt__half__sum, fact_iszero__0,
% 250.36/42.78 fact_iszero__Numeral0, fact_iszero__def, fact_iszero__number__of__Bit0,
% 250.36/42.78 fact_iszero__number__of__Bit1, fact_le0, fact_le__0__eq, fact_le__SucE,
% 250.36/42.78 fact_le__SucI, fact_le__Suc__eq, fact_le__Suc__ex__iff, fact_le__add1,
% 250.36/42.78 fact_le__add2, fact_le__add__diff, fact_le__add__diff__inverse,
% 250.36/42.78 fact_le__add__diff__inverse2, fact_le__add__iff1, fact_le__add__iff2,
% 250.36/42.78 fact_le__antisym, fact_le__cube, fact_le__diff__conv, fact_le__diff__conv2,
% 250.36/42.78 fact_le__diff__iff, fact_le__divide__eq, fact_le__divide__eq__number__of,
% 250.36/42.78 fact_le__divide__eq__number__of1, fact_le__eq__less__or__eq, fact_le__iff__add,
% 250.36/42.78 fact_le__iff__diff__le__0, fact_le__imp__diff__is__add, fact_le__imp__less__Suc,
% 250.36/42.78 fact_le__imp__neg__le, fact_le__less__Suc__eq, fact_le__minus__iff,
% 250.36/42.78 fact_le__minus__self__iff, fact_le__nat__number__of,
% 250.36/42.78 fact_le__neq__implies__less, fact_le__number__of,
% 250.36/42.78 fact_le__number__of__eq__not__less, fact_le__refl, fact_le__square,
% 250.36/42.78 fact_le__trans, fact_left__diff__distrib__number__of,
% 250.36/42.78 fact_left__distrib__number__of, fact_left__minus, fact_lemma__MVT, fact_lessI,
% 250.36/42.78 fact_less__0__number__of, fact_less__1__mult, fact_less__Suc0, fact_less__SucE,
% 250.36/42.78 fact_less__SucI, fact_less__Suc__eq, fact_less__Suc__eq__0__disj,
% 250.36/42.78 fact_less__Suc__eq__le, fact_less__add__Suc1, fact_less__add__Suc2,
% 250.36/42.78 fact_less__add__eq__less, fact_less__add__iff1, fact_less__add__iff2,
% 250.36/42.78 fact_less__add__one, fact_less__antisym, fact_less__diff__conv,
% 250.36/42.78 fact_less__diff__iff, fact_less__divide__eq, fact_less__divide__eq__number__of,
% 250.36/42.78 fact_less__divide__eq__number__of1, fact_less__eq__Suc__le,
% 250.36/42.78 fact_less__eq__int__code_I13_J, fact_less__eq__int__code_I14_J,
% 250.36/42.78 fact_less__eq__int__code_I15_J, fact_less__eq__int__code_I16_J,
% 250.36/42.78 fact_less__eq__nat_Osimps_I1_J, fact_less__eq__number__of__int__code,
% 250.36/42.78 fact_less__eq__real__def, fact_less__half__sum, fact_less__iff__Suc__add,
% 250.36/42.78 fact_less__iff__diff__less__0, fact_less__imp__diff__less,
% 250.36/42.78 fact_less__imp__le__nat, fact_less__int__code_I13_J, fact_less__int__code_I14_J,
% 250.36/42.78 fact_less__int__code_I15_J, fact_less__int__code_I16_J, fact_less__irrefl__nat,
% 250.36/42.78 fact_less__minus__iff, fact_less__minus__self__iff, fact_less__nat__number__of,
% 250.36/42.78 fact_less__nat__zero__code, fact_less__not__refl, fact_less__not__refl2,
% 250.36/42.78 fact_less__not__refl3, fact_less__number__of, fact_less__number__of__int__code,
% 250.36/42.78 fact_less__or__eq__imp__le, fact_less__trans__Suc, fact_less__zeroE,
% 250.36/42.78 fact_linorder__neqE__linordered__idom, fact_linorder__neqE__nat,
% 250.36/42.78 fact_minus__Bit0, fact_minus__Pls, fact_minus__add, fact_minus__add__cancel,
% 250.36/42.78 fact_minus__add__distrib, fact_minus__diff__eq, fact_minus__divide__divide,
% 250.36/42.78 fact_minus__divide__left, fact_minus__divide__right, fact_minus__equation__iff,
% 250.36/42.78 fact_minus__le__iff, fact_minus__le__self__iff, fact_minus__less__iff,
% 250.36/42.78 fact_minus__minus, fact_minus__mult__commute, fact_minus__mult__left,
% 250.36/42.78 fact_minus__mult__minus, fact_minus__mult__right, fact_minus__nat_Odiff__0,
% 250.36/42.78 fact_minus__number__of__mult, fact_minus__numeral__code_I5_J,
% 250.36/42.78 fact_minus__numeral__code_I6_J, fact_minus__poly__code_I1_J,
% 250.36/42.78 fact_minus__real__def, fact_minus__unique, fact_minus__zero,
% 250.36/42.78 fact_mult_Oadd__left, fact_mult_Oadd__right, fact_mult_Ocomm__neutral,
% 250.36/42.78 fact_mult_Odiff__left, fact_mult_Odiff__right, fact_mult_Ominus__left,
% 250.36/42.78 fact_mult_Ominus__right, fact_mult_Oprod__diff__prod, fact_mult_Ozero__left,
% 250.36/42.78 fact_mult_Ozero__right, fact_mult__0, fact_mult__0__right, fact_mult__1,
% 250.36/42.78 fact_mult__1__left, fact_mult__1__right, fact_mult__Bit0, fact_mult__Pls,
% 250.36/42.78 fact_mult__Suc, fact_mult__Suc__right, fact_mult__cancel1, fact_mult__cancel2,
% 250.36/42.78 fact_mult__diff__mult, fact_mult__divide__mult__cancel__left,
% 250.36/42.78 fact_mult__divide__mult__cancel__right, fact_mult__eq__0__iff,
% 250.36/42.78 fact_mult__eq__1__iff, fact_mult__eq__self__implies__10,
% 250.36/42.78 fact_mult__imp__div__pos__le, fact_mult__imp__div__pos__less,
% 250.36/42.78 fact_mult__imp__le__div__pos, fact_mult__imp__less__div__pos, fact_mult__is__0,
% 250.36/42.78 fact_mult__le__0__iff, fact_mult__le__cancel__left__neg,
% 250.36/42.78 fact_mult__le__cancel__left__pos, fact_mult__le__less__imp__less,
% 250.36/42.78 fact_mult__le__mono, fact_mult__le__mono1, fact_mult__le__mono2,
% 250.36/42.78 fact_mult__left_Oadd, fact_mult__left_Odiff, fact_mult__left_Ominus,
% 250.36/42.78 fact_mult__left_Ozero, fact_mult__left__le__imp__le,
% 250.36/42.78 fact_mult__left__le__one__le, fact_mult__left__less__imp__less,
% 250.36/42.78 fact_mult__left__mono, fact_mult__left__mono__neg, fact_mult__less__cancel1,
% 250.36/42.78 fact_mult__less__cancel2, fact_mult__less__cancel__left__disj,
% 250.36/42.78 fact_mult__less__cancel__left__neg, fact_mult__less__cancel__left__pos,
% 250.36/42.78 fact_mult__less__cancel__right__disj, fact_mult__less__imp__less__left,
% 250.36/42.78 fact_mult__less__imp__less__right, fact_mult__less__le__imp__less,
% 250.36/42.78 fact_mult__less__mono1, fact_mult__less__mono2, fact_mult__mono,
% 250.36/42.78 fact_mult__mono_H, fact_mult__nat__number__of, fact_mult__neg__neg,
% 250.36/42.78 fact_mult__neg__pos, fact_mult__nonneg__nonneg, fact_mult__nonneg__nonpos,
% 250.36/42.78 fact_mult__nonneg__nonpos2, fact_mult__nonpos__nonneg,
% 250.36/42.78 fact_mult__nonpos__nonpos, fact_mult__number__of__left,
% 250.36/42.78 fact_mult__poly__0__left, fact_mult__poly__0__right, fact_mult__poly__add__left,
% 250.36/42.78 fact_mult__pos__neg, fact_mult__pos__neg2, fact_mult__pos__pos,
% 250.36/42.78 fact_mult__right_Oadd, fact_mult__right_Odiff, fact_mult__right_Ominus,
% 250.36/42.78 fact_mult__right_Ozero, fact_mult__right__le__imp__le,
% 250.36/42.78 fact_mult__right__le__one__le, fact_mult__right__less__imp__less,
% 250.36/42.78 fact_mult__right__mono, fact_mult__right__mono__neg, fact_mult__sgn__abs,
% 250.36/42.78 fact_mult__strict__left__mono, fact_mult__strict__left__mono__neg,
% 250.36/42.78 fact_mult__strict__mono, fact_mult__strict__mono_H,
% 250.36/42.78 fact_mult__strict__right__mono, fact_mult__strict__right__mono__neg,
% 250.36/42.78 fact_mult__zero__left, fact_mult__zero__right, fact_n__not__Suc__n,
% 250.36/42.78 fact_nat_Oinject, fact_nat_Osimps_I2_J, fact_nat_Osimps_I3_J,
% 250.36/42.78 fact_nat__0__less__mult__iff, fact_nat__1__eq__mult__iff, fact_nat__add__assoc,
% 250.36/42.78 fact_nat__add__commute, fact_nat__add__left__cancel,
% 250.36/42.78 fact_nat__add__left__cancel__le, fact_nat__add__left__cancel__less,
% 250.36/42.78 fact_nat__add__left__commute, fact_nat__add__right__cancel,
% 250.36/42.78 fact_nat__diff__split, fact_nat__diff__split__asm, fact_nat__le__linear,
% 250.36/42.78 fact_nat__le__real__less, fact_nat__less__cases, fact_nat__less__le,
% 250.36/42.78 fact_nat__less__real__le, fact_nat__lt__two__imp__zero__or__one,
% 250.36/42.78 fact_nat__mult__1, fact_nat__mult__1__right, fact_nat__mult__eq__1__iff,
% 250.36/42.78 fact_nat__neq__iff, fact_nat__number__of__Pls, fact_nat__number__of__mult__left,
% 250.36/42.78 fact_natceiling__eq, fact_natceiling__mono, fact_natceiling__number__of__eq,
% 250.36/42.78 fact_natceiling__real__of__nat, fact_neg__0__equal__iff__equal,
% 250.36/42.78 fact_neg__0__le__iff__le, fact_neg__0__less__iff__less,
% 250.36/42.78 fact_neg__divide__le__eq, fact_neg__divide__less__eq,
% 250.36/42.78 fact_neg__equal__0__iff__equal, fact_neg__equal__iff__equal,
% 250.36/42.78 fact_neg__equal__zero, fact_neg__le__0__iff__le, fact_neg__le__divide__eq,
% 250.36/42.78 fact_neg__le__iff__le, fact_neg__less__0__iff__less, fact_neg__less__divide__eq,
% 250.36/42.78 fact_neg__less__iff__less, fact_neg__less__nonneg, fact_neq0__conv,
% 250.36/42.78 fact_no__zero__divisors, fact_nonzero__abs__divide,
% 250.36/42.78 fact_nonzero__divide__eq__eq, fact_nonzero__eq__divide__eq,
% 250.36/42.78 fact_nonzero__minus__divide__divide, fact_nonzero__minus__divide__right,
% 250.36/42.78 fact_nonzero__norm__divide, fact_norm__add__less, fact_norm__diff__ineq,
% 250.36/42.78 fact_norm__diff__triangle__ineq, fact_norm__divide, fact_norm__minus__cancel,
% 250.36/42.78 fact_norm__mult, fact_norm__mult__ineq, fact_norm__mult__less,
% 250.36/42.78 fact_norm__number__of, fact_norm__one, fact_norm__triangle__ineq,
% 250.36/42.78 fact_norm__triangle__ineq2, fact_norm__triangle__ineq3,
% 250.36/42.78 fact_norm__triangle__ineq4, fact_not__add__less1, fact_not__add__less2,
% 250.36/42.78 fact_not__iszero__1, fact_not__less0, fact_not__less__eq,
% 250.36/42.78 fact_not__less__eq__eq, fact_not__less__less__Suc__eq, fact_not__one__le__zero,
% 250.36/42.78 fact_not__one__less__zero, fact_not__square__less__zero,
% 250.36/42.78 fact_not__sum__squares__lt__zero, fact_number__of__Bit0, fact_number__of__Bit1,
% 250.36/42.78 fact_number__of__Pls, fact_number__of__add, fact_number__of__diff,
% 250.36/42.78 fact_number__of__is__id, fact_number__of__minus, fact_number__of__mult,
% 250.36/42.78 fact_number__of__reorient, fact_one__is__add, fact_one__reorient,
% 250.36/42.78 fact_plus__nat_Oadd__0, fact_plus__numeral__code_I9_J, fact_poly__0,
% 250.36/42.78 fact_poly__1, fact_poly__add, fact_poly__diff, fact_poly__eq__iff,
% 250.36/42.78 fact_poly__minus, fact_poly__mult, fact_poly__zero, fact_pos__add__strict,
% 250.36/42.78 fact_pos__divide__le__eq, fact_pos__divide__less__eq, fact_pos__le__divide__eq,
% 250.36/42.78 fact_pos__less__divide__eq, fact_psize__eq__0__iff, fact_real__add__left__mono,
% 250.36/42.78 fact_real__add__mult__distrib, fact_real__diff__def,
% 250.36/42.78 fact_real__divide__square__eq, fact_real__le__linear, fact_real__le__refl,
% 250.36/42.78 fact_real__le__trans, fact_real__less__def, fact_real__minus__mult__self__le,
% 250.36/42.78 fact_real__mult__1, fact_real__mult__assoc, fact_real__mult__commute,
% 250.36/42.78 fact_real__natceiling__ge, fact_real__norm__def, fact_real__of__nat__1,
% 250.36/42.78 fact_real__of__nat__Suc, fact_real__of__nat__add, fact_real__of__nat__diff,
% 250.36/42.78 fact_real__of__nat__inject, fact_real__of__nat__le__iff,
% 250.36/42.78 fact_real__of__nat__less__iff, fact_real__of__nat__mult,
% 250.36/42.78 fact_real__of__nat__one, fact_real__sgn__eq,
% 250.36/42.79 fact_real__squared__diff__one__factored, fact_rel__simps_I10_J,
% 250.36/42.79 fact_rel__simps_I12_J, fact_rel__simps_I14_J, fact_rel__simps_I15_J,
% 250.36/42.79 fact_rel__simps_I16_J, fact_rel__simps_I17_J, fact_rel__simps_I19_J,
% 250.36/42.79 fact_rel__simps_I21_J, fact_rel__simps_I22_J, fact_rel__simps_I27_J,
% 250.36/42.79 fact_rel__simps_I29_J, fact_rel__simps_I31_J, fact_rel__simps_I32_J,
% 250.36/42.79 fact_rel__simps_I33_J, fact_rel__simps_I34_J, fact_rel__simps_I38_J,
% 250.36/42.79 fact_rel__simps_I39_J, fact_rel__simps_I44_J, fact_rel__simps_I46_J,
% 250.36/42.79 fact_rel__simps_I48_J, fact_rel__simps_I49_J, fact_rel__simps_I4_J,
% 250.36/42.79 fact_rel__simps_I50_J, fact_rel__simps_I51_J, fact_rel__simps_I5_J,
% 250.36/42.79 fact_right__diff__distrib__number__of, fact_right__distrib__number__of,
% 250.36/42.79 fact_right__inverse__eq, fact_right__minus, fact_semiring__norm_I112_J,
% 250.36/42.79 fact_semiring__norm_I113_J, fact_seq__suble, fact_sgn0, fact_sgn__0__0,
% 250.36/42.79 fact_sgn__greater, fact_sgn__less, fact_sgn__minus, fact_sgn__mult,
% 250.36/42.79 fact_sgn__one, fact_sgn__sgn, fact_sgn__times, fact_sgn__zero,
% 250.36/42.79 fact_sgn__zero__iff, fact_split__mult__neg__le, fact_split__mult__pos__le,
% 250.36/42.79 fact_square__eq__1__iff, fact_square__eq__iff, fact_subseq__Suc__iff,
% 250.36/42.79 fact_subseq__def, fact_sum__squares__eq__zero__iff, fact_sum__squares__ge__zero,
% 250.36/42.79 fact_sum__squares__gt__zero__iff, fact_sum__squares__le__zero__iff,
% 250.36/42.79 fact_tan__arctan, fact_tan__minus, fact_tan__periodic__n,
% 250.36/42.79 fact_tan__periodic__nat, fact_tan__periodic__pi, fact_times__divide__eq__right,
% 250.36/42.79 fact_times__divide__times__eq, fact_times__numeral__code_I5_J,
% 250.36/42.79 fact_trans__le__add1, fact_trans__le__add2, fact_trans__less__add1,
% 250.36/42.79 fact_trans__less__add2, fact_zadd__assoc, fact_zadd__commute,
% 250.36/42.79 fact_zadd__left__commute, fact_zadd__left__mono, fact_zadd__strict__right__mono,
% 250.36/42.79 fact_zadd__zless__mono, fact_zadd__zmult__distrib, fact_zadd__zmult__distrib2,
% 250.36/42.79 fact_zdiff__zmult__distrib, fact_zdiff__zmult__distrib2,
% 250.36/42.79 fact_zero__le__divide__iff,
% 250.36/42.79 fact_zero__le__double__add__iff__zero__le__single__add,
% 250.36/42.79 fact_zero__le__mult__iff, fact_zero__le__natceiling, fact_zero__le__one,
% 250.36/42.79 fact_zero__le__square, fact_zero__less__Suc, fact_zero__less__abs__iff,
% 250.36/42.79 fact_zero__less__diff, fact_zero__less__divide__iff,
% 250.36/42.79 fact_zero__less__double__add__iff__zero__less__single__add,
% 250.36/42.79 fact_zero__less__mult__pos, fact_zero__less__mult__pos2, fact_zero__less__one,
% 250.36/42.79 fact_zero__less__two, fact_zero__reorient, fact_zle__antisym, fact_zle__linear,
% 250.36/42.79 fact_zle__refl, fact_zle__trans, fact_zless__le, fact_zless__linear,
% 250.36/42.79 fact_zminus__zadd__distrib, fact_zminus__zminus, fact_zmult__assoc,
% 250.36/42.79 fact_zmult__commute, fact_zmult__zminus
% 250.36/42.79
% 250.36/42.79 Those formulas are unsatisfiable:
% 250.36/42.79 ---------------------------------
% 250.36/42.79
% 250.36/42.79 Begin of proof
% 250.36/42.79 |
% 250.36/42.79 | ALPHA: (fact_w) implies:
% 250.36/42.79 | (1) ? [v0: $i] : ? [v1: $i] :
% 250.36/42.79 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v_wa____, v_z____)
% 250.36/42.79 | = v0 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v1
% 250.36/42.79 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v_d____) = 0 &
% 250.36/42.79 | $i(v1) & $i(v0))
% 250.36/42.79 |
% 250.36/42.79 | ALPHA: (fact_e) implies:
% 250.36/42.79 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.36/42.79 | ? [v5: $i] : ? [v6: $i] :
% 250.36/42.79 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.36/42.79 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v1 &
% 250.36/42.79 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v4 &
% 250.36/42.79 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v6 &
% 250.36/42.79 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v4) = v5 &
% 250.36/42.79 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 &
% 250.36/42.79 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v6) = 0 &
% 250.36/42.79 | hAPP(v1, v_z____) = v2 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 250.36/42.79 | $i(v1) & $i(v0))
% 250.36/42.79 |
% 250.36/42.79 | ALPHA: (fact__0960_A_060_Acmod_A_Iw_A_N_Az_J_A_G_Acmod_A_Iw_A_N_Az_J_A_060_Ad_061_061_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)
% 250.36/42.79 | implies:
% 250.36/42.80 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] : ? [v4: any] :
% 250.36/42.80 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 250.36/42.80 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i]
% 250.36/42.80 | : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: any] :
% 250.36/42.80 | (c_Int_OBit1(c_Int_OPls) = v14 & c_Int_OBit0(v14) = v15 &
% 250.36/42.80 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v15) = v16 &
% 250.36/42.80 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v13, v16) = v17 &
% 250.36/42.80 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.36/42.80 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v5 &
% 250.36/42.80 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v11 &
% 250.36/42.80 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v12) = v13 &
% 250.36/42.80 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v6, v7) = v8 &
% 250.36/42.80 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v_wa____, v_z____)
% 250.36/42.80 | = v1 & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v10, v11) =
% 250.36/42.80 | v12 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v8) = v9 &
% 250.36/42.80 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v7) = v10 &
% 250.36/42.80 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 &
% 250.36/42.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v17) = v18 &
% 250.36/42.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v_d____) = v4 &
% 250.36/42.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) = v3 &
% 250.36/42.80 | hAPP(v5, v_z____) = v7 & hAPP(v5, v_wa____) = v6 & $i(v17) & $i(v16)
% 250.36/42.80 | & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9)
% 250.36/42.80 | & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v2) & $i(v1) & $i(v0) & ( ~
% 250.36/42.80 | (v4 = 0) | ~ (v3 = 0) | v18 = 0))
% 250.36/42.80 |
% 250.36/42.80 | ALPHA: (fact_d_I2_J) implies:
% 250.36/42.80 | (4) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.36/42.80 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 250.36/42.80 | [v10: $i] : (c_Int_OBit1(c_Int_OPls) = v7 & c_Int_OBit0(v7) = v8 &
% 250.36/42.80 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v8) = v9 &
% 250.36/42.80 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v9) = v10 &
% 250.36/42.80 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.36/42.80 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v1 &
% 250.36/42.80 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v4 &
% 250.36/42.80 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v6 &
% 250.36/42.80 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v4) = v5 &
% 250.36/42.80 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 &
% 250.36/42.80 | hAPP(v1, v_z____) = v2 & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6)
% 250.36/42.80 | & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v11: $i]
% 250.36/42.80 | : ! [v12: $i] : ( ~ (hAPP(v1, v11) = v12) | ~ $i(v11) | ? [v13:
% 250.36/42.80 | $i] : ? [v14: $i] : ? [v15: any] : ? [v16: any] : ? [v17: $i]
% 250.36/42.80 | : ? [v18: $i] : ? [v19: any] :
% 250.36/42.80 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v12, v2) = v17
% 250.36/42.80 | & c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v11,
% 250.36/42.80 | v_z____) = v13 &
% 250.36/42.80 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v17) = v18 &
% 250.36/42.80 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v13) = v14 &
% 250.36/42.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v18, v10) = v19 &
% 250.36/42.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v14, v_d____) =
% 250.36/42.80 | v16 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v14) =
% 250.36/42.80 | v15 & $i(v18) & $i(v17) & $i(v14) & $i(v13) & ( ~ (v16 = 0) | ~
% 250.36/42.80 | (v15 = 0) | v19 = 0))))
% 250.36/42.80 |
% 250.36/42.80 | ALPHA: (fact_e2) implies:
% 250.36/42.80 | (5) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.36/42.80 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 250.36/42.80 | [v10: $i] : (c_Int_OBit1(c_Int_OPls) = v7 & c_Int_OBit0(v7) = v8 &
% 250.36/42.80 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v8) = v9 &
% 250.36/42.80 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v9) = v10 &
% 250.36/42.80 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.36/42.80 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v1 &
% 250.36/42.80 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v4 &
% 250.36/42.80 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v6 &
% 250.36/42.80 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v4) = v5 &
% 250.36/42.80 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 &
% 250.36/42.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v10) = 0 &
% 250.36/42.80 | hAPP(v1, v_z____) = v2 & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6)
% 250.36/42.80 | & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 250.36/42.80 |
% 250.36/42.80 | ALPHA: (fact_divide__numeral__1) implies:
% 250.36/42.80 | (6) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] : !
% 250.36/42.80 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~
% 250.36/42.80 | (c_Int_Onumber__class_Onumber__of(v2, v0) = v3) | ~
% 250.36/42.80 | (c_Rings_Oinverse__class_Odivide(v2, v1, v3) = v4) | ~ $i(v2) | ~
% 250.36/42.80 | $i(v1) | ? [v5: any] : ? [v6: any] : (class_Fields_Ofield(v2) =
% 250.36/42.80 | v5 & class_Int_Onumber__ring(v2) = v6 & ( ~ (v6 = 0) | ~ (v5 =
% 250.36/42.80 | 0)))))
% 250.36/42.80 |
% 250.36/42.80 | 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)
% 250.36/42.80 | implies:
% 250.36/42.80 | (7) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.36/42.80 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 250.36/42.80 | [v10: $i] : (c_Int_OBit1(c_Int_OPls) = v7 & c_Int_OBit0(v7) = v8 &
% 250.36/42.80 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v8) = v9 &
% 250.36/42.80 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v9) = v10 &
% 250.36/42.80 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.36/42.80 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v1 &
% 250.36/42.80 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v4 &
% 250.36/42.80 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v6 &
% 250.36/42.80 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v4) = v5 &
% 250.36/42.80 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 &
% 250.36/42.80 | hAPP(v1, v_z____) = v2 & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6)
% 250.36/42.80 | & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ? [v11: $i]
% 250.36/42.80 | : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v11) = 0 &
% 250.36/42.80 | $i(v11) & ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ( ~
% 250.36/42.80 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v12, v_z____)
% 250.36/42.80 | = v13) | ~
% 250.36/42.80 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v13) = v14)
% 250.36/42.80 | | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v14, v11) =
% 250.36/42.80 | 0) | ~ $i(v12) | ? [v15: any] : ? [v16: $i] : ? [v17: $i] :
% 250.36/42.80 | ? [v18: $i] : ? [v19: any] :
% 250.36/42.80 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v16, v2) =
% 250.36/42.80 | v17 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v17)
% 250.36/42.80 | = v18 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v18,
% 250.36/42.80 | v10) = v19 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.36/42.80 | v0, v14) = v15 & hAPP(v1, v12) = v16 & $i(v18) & $i(v17) &
% 250.36/42.80 | $i(v16) & ( ~ (v15 = 0) | v19 = 0)))))
% 250.36/42.80 |
% 250.36/42.80 | ALPHA: (fact_abs__norm__cancel) implies:
% 250.36/42.80 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 250.36/42.80 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 250.36/42.80 | $i(v0) | ? [v3: any] : ? [v4: $i] :
% 250.36/42.80 | (class_RealVector_Oreal__normed__vector(v1) = v3 &
% 250.36/42.80 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v4 & $i(v4) & ( ~
% 250.36/42.80 | (v3 = 0) | v4 = v2)))
% 250.36/42.80 |
% 250.36/42.80 | ALPHA: (fact_d_I1_J) implies:
% 250.36/42.80 | (9) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.36/42.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_d____) = 0 &
% 250.36/42.80 | $i(v0))
% 250.36/42.80 |
% 250.36/42.80 | ALPHA: (fact_norm__zero) implies:
% 250.36/42.80 | (10) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.36/42.80 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 250.36/42.80 | (c_Groups_Ozero__class_Ozero(v1) = v2) | ~
% 250.36/42.80 | (c_RealVector_Onorm__class_Onorm(v1, v2) = v3) | ~ $i(v1) | ?
% 250.36/42.80 | [v4: int] : ( ~ (v4 = 0) &
% 250.36/42.80 | class_RealVector_Oreal__normed__vector(v1) = v4)))
% 250.36/42.80 |
% 250.36/42.80 | ALPHA: (fact_norm__eq__zero) implies:
% 250.36/42.80 | (11) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.36/42.80 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 250.36/42.80 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ $i(v2) | ~
% 250.36/42.80 | $i(v1) | ? [v4: any] : ? [v5: $i] :
% 250.36/42.80 | (class_RealVector_Oreal__normed__vector(v2) = v4 &
% 250.36/42.80 | c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v5) & ( ~ (v4 = 0) |
% 250.36/42.80 | (( ~ (v5 = v1) | v3 = v0) & ( ~ (v3 = v0) | v5 = v1))))))
% 250.36/42.80 |
% 250.36/42.80 | ALPHA: (fact_rel__simps_I2_J) implies:
% 250.36/42.80 | (12) ? [v0: int] : ( ~ (v0 = 0) &
% 250.36/42.80 | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OPls) =
% 250.36/42.80 | v0)
% 250.36/42.80 |
% 250.36/42.80 | ALPHA: (fact_zero__less__norm__iff) implies:
% 250.36/42.80 | (13) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.36/42.80 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 250.36/42.80 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ $i(v2) | ~
% 250.36/42.80 | $i(v1) | ? [v4: any] : ? [v5: any] : ? [v6: $i] :
% 250.36/42.80 | (class_RealVector_Oreal__normed__vector(v2) = v4 &
% 250.36/42.80 | c_Groups_Ozero__class_Ozero(v2) = v6 &
% 250.36/42.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = v5 &
% 250.36/42.80 | $i(v6) & ( ~ (v4 = 0) | (( ~ (v6 = v1) | ~ (v5 = 0)) & (v6 = v1
% 250.36/42.80 | | v5 = 0))))))
% 250.36/42.80 |
% 250.36/42.80 | ALPHA: (fact_norm__not__less__zero) implies:
% 250.36/42.80 | (14) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.36/42.80 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 250.36/42.80 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ $i(v2) | ~
% 250.36/42.80 | $i(v1) | ? [v4: any] : ? [v5: any] :
% 250.36/42.80 | (class_RealVector_Oreal__normed__vector(v2) = v4 &
% 250.36/42.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0) = v5 & (
% 250.36/42.80 | ~ (v5 = 0) | ~ (v4 = 0)))))
% 250.68/42.80 |
% 250.68/42.80 | ALPHA: (fact_less__special_I3_J) implies:
% 250.68/42.81 | (15) ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~
% 250.68/42.81 | (class_Rings_Olinordered__idom(v1) = 0) | ~
% 250.68/42.81 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls) = v2) |
% 250.68/42.81 | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: $i] : ? [v5: $i] : ?
% 250.68/42.81 | [v6: any] : (class_Int_Onumber__ring(v1) = v3 &
% 250.68/42.81 | c_Int_Onumber__class_Onumber__of(v1, v0) = v4 &
% 250.68/42.81 | c_Groups_Ozero__class_Ozero(v1) = v5 &
% 250.68/42.81 | c_Orderings_Oord__class_Oless(v1, v4, v5) = v6 & $i(v5) & $i(v4) &
% 250.68/42.81 | ( ~ (v3 = 0) | (( ~ (v6 = 0) | v2 = 0) & ( ~ (v2 = 0) | v6 =
% 250.68/42.81 | 0)))))
% 250.68/42.81 |
% 250.68/42.81 | ALPHA: (fact_less__special_I1_J) implies:
% 250.68/42.81 | (16) ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~
% 250.68/42.81 | (class_Rings_Olinordered__idom(v1) = 0) | ~
% 250.68/42.81 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) = v2) |
% 250.68/42.81 | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: $i] : ? [v5: $i] : ?
% 250.68/42.81 | [v6: any] : (class_Int_Onumber__ring(v1) = v3 &
% 250.68/42.81 | c_Int_Onumber__class_Onumber__of(v1, v0) = v5 &
% 250.68/42.81 | c_Groups_Ozero__class_Ozero(v1) = v4 &
% 250.68/42.81 | c_Orderings_Oord__class_Oless(v1, v4, v5) = v6 & $i(v5) & $i(v4) &
% 250.68/42.81 | ( ~ (v3 = 0) | (( ~ (v6 = 0) | v2 = 0) & ( ~ (v2 = 0) | v6 =
% 250.68/42.81 | 0)))))
% 250.68/42.81 |
% 250.68/42.81 | ALPHA: (fact_half__gt__zero) implies:
% 250.68/42.81 | (17) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 250.68/42.81 | c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] :
% 250.68/42.81 | ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: int] : (v7 = 0 |
% 250.68/42.81 | ~ (c_Int_Onumber__class_Onumber__of(v3, v1) = v5) | ~
% 250.68/42.81 | (c_Rings_Oinverse__class_Odivide(v3, v2, v5) = v6) | ~
% 250.68/42.81 | (c_Groups_Ozero__class_Ozero(v3) = v4) | ~
% 250.68/42.81 | (c_Orderings_Oord__class_Oless(v3, v4, v6) = v7) | ~ $i(v3) | ~
% 250.68/42.81 | $i(v2) | ? [v8: any] : ? [v9: any] : ? [v10: any] :
% 250.68/42.81 | (class_Fields_Olinordered__field__inverse__zero(v3) = v8 &
% 250.68/42.81 | class_Int_Onumber__ring(v3) = v9 &
% 250.68/42.81 | c_Orderings_Oord__class_Oless(v3, v4, v2) = v10 & ( ~ (v10 = 0)
% 250.68/42.81 | | ~ (v9 = 0) | ~ (v8 = 0)))))
% 250.68/42.81 |
% 250.68/42.81 | ALPHA: (fact_half__gt__zero__iff) implies:
% 250.68/42.81 | (18) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 250.68/42.81 | c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] :
% 250.68/42.81 | ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: any] : ( ~
% 250.68/42.81 | (c_Int_Onumber__class_Onumber__of(v3, v1) = v5) | ~
% 250.68/42.81 | (c_Rings_Oinverse__class_Odivide(v3, v2, v5) = v6) | ~
% 250.68/42.81 | (c_Groups_Ozero__class_Ozero(v3) = v4) | ~
% 250.68/42.81 | (c_Orderings_Oord__class_Oless(v3, v4, v6) = v7) | ~ $i(v3) | ~
% 250.68/42.81 | $i(v2) | ? [v8: any] : ? [v9: any] : ? [v10: any] :
% 250.68/42.81 | (class_Fields_Olinordered__field__inverse__zero(v3) = v8 &
% 250.68/42.81 | class_Int_Onumber__ring(v3) = v9 &
% 250.68/42.81 | c_Orderings_Oord__class_Oless(v3, v4, v2) = v10 & ( ~ (v9 = 0) |
% 250.68/42.81 | ~ (v8 = 0) | (( ~ (v10 = 0) | v7 = 0) & ( ~ (v7 = 0) | v10 =
% 250.68/42.81 | 0))))))
% 250.68/42.81 |
% 250.68/42.81 | ALPHA: (fact_real__abs__def) implies:
% 250.68/42.81 | (19) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.68/42.81 | $i(v0) & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 250.68/42.81 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) = v2) |
% 250.68/42.81 | ~ $i(v1) | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v1) &
% 250.68/42.81 | ! [v1: $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.68/42.81 | v1, v0) = 0) | ~ $i(v1) | ? [v2: $i] :
% 250.68/42.81 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2 &
% 250.68/42.81 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v2 & $i(v2))))
% 250.68/42.81 |
% 250.68/42.81 | ALPHA: (fact_zminus__0) implies:
% 250.68/42.81 | (20) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 &
% 250.68/42.81 | c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v0 & $i(v0))
% 250.68/42.81 |
% 250.68/42.81 | ALPHA: (fact_zabs__def) implies:
% 250.68/42.81 | (21) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 250.68/42.81 | & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 250.68/42.81 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = v2) | ~
% 250.68/42.81 | $i(v1) | c_Groups_Oabs__class_Oabs(tc_Int_Oint, v1) = v1) & !
% 250.68/42.81 | [v1: $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) =
% 250.68/42.81 | 0) | ~ $i(v1) | ? [v2: $i] :
% 250.68/42.81 | (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2 &
% 250.68/42.81 | c_Groups_Oabs__class_Oabs(tc_Int_Oint, v1) = v2 & $i(v2))))
% 250.68/42.81 |
% 250.68/42.81 | ALPHA: (fact_less__bin__lemma) implies:
% 250.68/42.81 | (22) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 250.68/42.81 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 250.68/42.81 | (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v2, v1) = v3) | ~
% 250.68/42.81 | $i(v2) | ~ $i(v1) | ? [v4: any] : ? [v5: any] :
% 250.68/42.81 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0) = v5 &
% 250.68/42.81 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v4 & ( ~
% 250.68/42.81 | (v4 = 0) | v5 = 0))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 250.68/42.81 | : ( ~ (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v2, v1) = v3) | ~
% 250.68/42.81 | $i(v2) | ~ $i(v1) | ? [v4: any] : ? [v5: any] :
% 250.68/42.81 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0) = v4 &
% 250.68/42.81 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v5 & ( ~
% 250.68/42.81 | (v4 = 0) | v5 = 0))))
% 250.68/42.81 |
% 250.68/42.81 | ALPHA: (fact_bin__less__0__simps_I4_J) implies:
% 250.68/42.81 | (23) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 250.68/42.81 | & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 250.68/42.81 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = v2) | ~
% 250.68/42.81 | $i(v1) | ? [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) &
% 250.68/42.81 | c_Int_OBit1(v1) = v3 &
% 250.68/42.81 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0) = v4 &
% 250.68/42.81 | $i(v3))) & ! [v1: $i] : ( ~
% 250.68/42.81 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = 0) | ~
% 250.68/42.81 | $i(v1) | ? [v2: $i] : (c_Int_OBit1(v1) = v2 &
% 250.68/42.81 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) = 0 &
% 250.68/42.81 | $i(v2))))
% 250.68/42.81 |
% 250.68/42.81 | ALPHA: (fact_Pls__def) implies:
% 250.68/42.81 | (24) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Int_OPls
% 250.68/42.81 |
% 250.68/42.81 | ALPHA: (fact_bin__less__0__simps_I1_J) implies:
% 250.68/42.81 | (25) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) &
% 250.68/42.81 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 &
% 250.68/42.81 | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) = v1 &
% 250.68/42.81 | $i(v0))
% 250.68/42.81 |
% 250.68/42.81 | ALPHA: (fact_zero__is__num__zero) implies:
% 250.68/42.81 | (26) ? [v0: $i] : (c_Int_Onumber__class_Onumber__of(tc_Int_Oint,
% 250.68/42.81 | c_Int_OPls) = v0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 &
% 250.68/42.81 | $i(v0))
% 250.68/42.81 |
% 250.68/42.81 | ALPHA: (fact_bin__less__0__simps_I3_J) implies:
% 250.68/42.81 | (27) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 250.68/42.81 | & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 250.68/42.81 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = v2) | ~
% 250.68/42.81 | $i(v1) | ? [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) &
% 250.68/42.81 | c_Int_OBit0(v1) = v3 &
% 250.68/42.81 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0) = v4 &
% 250.68/42.81 | $i(v3))) & ! [v1: $i] : ( ~
% 250.68/42.81 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = 0) | ~
% 250.68/42.81 | $i(v1) | ? [v2: $i] : (c_Int_OBit0(v1) = v2 &
% 250.68/42.81 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) = 0 &
% 250.68/42.81 | $i(v2))))
% 250.68/42.81 |
% 250.68/42.81 | ALPHA: (fact_pos2) implies:
% 250.68/42.81 | (28) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 250.68/42.81 | (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 250.68/42.81 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 &
% 250.68/42.81 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 250.68/42.81 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) = 0 & $i(v3) &
% 250.68/42.81 | $i(v2) & $i(v1) & $i(v0))
% 250.68/42.81 |
% 250.68/42.81 | ALPHA: (fact_fz_I2_J) implies:
% 250.68/42.82 | (29) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.68/42.82 | $i(v0) & ! [v1: $i] : ( ~
% 250.68/42.82 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) = 0) | ~
% 250.68/42.82 | $i(v1) | ? [v2: $i] : ($i(v2) & ! [v3: $i] : ! [v4: $i] : !
% 250.68/42.82 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: int] : (v8 = 0 |
% 250.68/42.82 | ~ (v_g____(v4) = v5) | ~
% 250.68/42.82 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v5,
% 250.68/42.82 | v_z____) = v6) | ~
% 250.68/42.82 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) =
% 250.68/42.82 | v7) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.68/42.82 | v7, v1) = v8) | ~ (hAPP(v_f____, v3) = v4) | ~ $i(v3) |
% 250.68/42.82 | ? [v9: int] : ( ~ (v9 = 0) &
% 250.68/42.82 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v3) =
% 250.68/42.82 | v9)))))
% 250.68/42.82 |
% 250.68/42.82 | ALPHA: (fact_poly__cont) implies:
% 250.68/42.82 | (30) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.68/42.82 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 250.68/42.82 | [v5: $i] : ( ~ (c_Polynomial_Opoly(tc_Complex_Ocomplex, v1) = v4) |
% 250.68/42.82 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = 0) |
% 250.68/42.82 | ~ (hAPP(v4, v2) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ?
% 250.68/42.82 | [v6: $i] : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 250.68/42.82 | v6) = 0 & $i(v6) & ! [v7: $i] : ! [v8: $i] : ! [v9: $i] :
% 250.68/42.82 | ! [v10: $i] : ! [v11: int] : (v11 = 0 | ~
% 250.68/42.82 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v8, v5) =
% 250.68/42.82 | v9) | ~
% 250.68/42.82 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v9) =
% 250.68/42.82 | v10) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.68/42.82 | v10, v3) = v11) | ~ (hAPP(v4, v7) = v8) | ~ $i(v7) | ?
% 250.68/42.82 | [v12: $i] : ? [v13: $i] : ? [v14: any] : ? [v15: any] :
% 250.68/42.82 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v7, v2) =
% 250.68/42.82 | v12 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 250.68/42.82 | v12) = v13 &
% 250.68/42.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v6) =
% 250.68/42.82 | v15 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 250.68/42.82 | v13) = v14 & $i(v13) & $i(v12) & ( ~ (v15 = 0) | ~ (v14 =
% 250.68/42.82 | 0)))))))
% 250.68/42.82 |
% 250.68/42.82 | ALPHA: (fact_order__root) implies:
% 250.68/42.82 | (31) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 250.68/42.82 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 250.68/42.82 | $i] : ( ~ (c_Polynomial_Opoly(v3, v2) = v4) | ~ (hAPP(v4, v1) =
% 250.68/42.82 | v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v6: any] : ? [v7:
% 250.68/42.82 | $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] :
% 250.68/42.82 | (c_Polynomial_Oorder(v3, v1, v2) = v10 & class_Rings_Oidom(v3) =
% 250.68/42.82 | v6 & tc_Polynomial_Opoly(v3) = v8 &
% 250.68/42.82 | c_Groups_Ozero__class_Ozero(v8) = v9 &
% 250.68/42.82 | c_Groups_Ozero__class_Ozero(v3) = v7 & $i(v10) & $i(v9) & $i(v8)
% 250.68/42.82 | & $i(v7) & ( ~ (v6 = 0) | (( ~ (v10 = v0) | ~ (v7 = v5) | v9 =
% 250.68/42.82 | v2) & (v7 = v5 | (v10 = v0 & ~ (v9 = v2))))))))
% 250.68/42.82 |
% 250.68/42.82 | ALPHA: (fact_real__less__half__sum) implies:
% 250.68/42.82 | (32) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 250.68/42.82 | v0 & c_Int_OBit0(v0) = v1 &
% 250.68/42.82 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2)
% 250.68/42.82 | & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 250.68/42.82 | [v6: $i] : ! [v7: int] : (v7 = 0 | ~
% 250.68/42.82 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5) | ~
% 250.68/42.82 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v2) = v6) |
% 250.68/42.82 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6) = v7)
% 250.68/42.82 | | ~ $i(v4) | ~ $i(v3) | ? [v8: int] : ( ~ (v8 = 0) &
% 250.68/42.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v3) = v8)))
% 250.68/42.82 |
% 250.68/42.82 | ALPHA: (fact_real__gt__half__sum) implies:
% 250.68/42.82 | (33) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 250.68/42.82 | v0 & c_Int_OBit0(v0) = v1 &
% 250.68/42.82 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2)
% 250.68/42.82 | & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 250.68/42.82 | [v6: $i] : ! [v7: int] : (v7 = 0 | ~
% 250.68/42.82 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5) | ~
% 250.68/42.82 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v2) = v6) |
% 250.68/42.82 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v3) = v7)
% 250.68/42.82 | | ~ $i(v4) | ~ $i(v3) | ? [v8: int] : ( ~ (v8 = 0) &
% 250.68/42.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v3) = v8)))
% 250.68/42.82 |
% 250.68/42.82 | ALPHA: (fact_minus__pi__half__less__zero) implies:
% 250.68/42.82 | (34) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.68/42.82 | ? [v5: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 250.68/42.82 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 250.68/42.82 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.68/42.82 | c_Transcendental_Opi, v2) = v3 &
% 250.68/42.82 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v5 &
% 250.68/42.82 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v4 &
% 250.68/42.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v5) = 0 & $i(v5)
% 250.68/42.82 | & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 250.68/42.82 |
% 250.68/42.82 | ALPHA: (fact_half) implies:
% 250.68/42.82 | (35) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 250.68/42.82 | c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] :
% 250.68/42.82 | ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: int] : (v7 = 0 |
% 250.68/42.82 | ~ (c_Groups_Oone__class_Oone(v2) = v4) | ~
% 250.68/42.82 | (c_Int_Onumber__class_Onumber__of(v2, v1) = v5) | ~
% 250.68/42.82 | (c_Rings_Oinverse__class_Odivide(v2, v4, v5) = v6) | ~
% 250.68/42.82 | (c_Groups_Ozero__class_Ozero(v2) = v3) | ~
% 250.68/42.82 | (c_Orderings_Oord__class_Oless(v2, v3, v6) = v7) | ~ $i(v2) | ?
% 250.68/42.82 | [v8: any] : ? [v9: any] :
% 250.68/42.82 | (class_Fields_Olinordered__field__inverse__zero(v2) = v8 &
% 250.68/42.82 | class_Int_Onumber__ring(v2) = v9 & ( ~ (v9 = 0) | ~ (v8 =
% 250.68/42.82 | 0)))))
% 250.68/42.82 |
% 250.68/42.82 | ALPHA: (fact_int__0__neq__1) implies:
% 250.68/42.82 | (36) ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 250.68/42.82 | c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 &
% 250.68/42.82 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0))
% 250.68/42.82 |
% 250.68/42.82 | ALPHA: (fact_pi__neq__zero) implies:
% 250.68/42.82 | (37) ? [v0: $i] : ( ~ (v0 = c_Transcendental_Opi) &
% 250.68/42.82 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0))
% 250.68/42.82 |
% 250.68/42.82 | ALPHA: (fact_add__special_I3_J) implies:
% 250.68/42.82 | (38) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 250.68/42.82 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 250.68/42.82 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~
% 250.68/42.82 | (c_Int_Onumber__class_Onumber__of(v2, v3) = v4) | ~ $i(v2) | ~
% 250.68/42.82 | $i(v1) | ? [v5: any] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 250.68/42.82 | (c_Groups_Oone__class_Oone(v2) = v7 &
% 250.68/42.82 | c_Groups_Oplus__class_Oplus(v2, v6, v7) = v8 &
% 250.68/42.82 | class_Int_Onumber__ring(v2) = v5 &
% 250.68/42.82 | c_Int_Onumber__class_Onumber__of(v2, v1) = v6 & $i(v8) & $i(v7)
% 250.68/42.82 | & $i(v6) & ( ~ (v5 = 0) | v8 = v4))))
% 250.68/42.82 |
% 250.68/42.82 | ALPHA: (fact_add__special_I2_J) implies:
% 250.68/42.82 | (39) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 250.68/42.82 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 250.68/42.82 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v3) | ~
% 250.68/42.82 | (c_Int_Onumber__class_Onumber__of(v2, v3) = v4) | ~ $i(v2) | ~
% 250.68/42.82 | $i(v1) | ? [v5: any] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 250.68/42.82 | (c_Groups_Oone__class_Oone(v2) = v6 &
% 250.68/42.82 | c_Groups_Oplus__class_Oplus(v2, v6, v7) = v8 &
% 250.68/42.82 | class_Int_Onumber__ring(v2) = v5 &
% 250.68/42.82 | c_Int_Onumber__class_Onumber__of(v2, v1) = v7 & $i(v8) & $i(v7)
% 250.68/42.82 | & $i(v6) & ( ~ (v5 = 0) | v8 = v4))))
% 250.68/42.82 |
% 250.68/42.82 | ALPHA: (fact_le__special_I4_J) implies:
% 250.68/42.82 | (40) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 250.68/42.82 | ! [v2: $i] : ! [v3: any] : ( ~
% 250.68/42.82 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) = v3) | ~
% 250.68/42.82 | (class_Rings_Olinordered__idom(v2) = 0) | ~ $i(v2) | ~ $i(v1) |
% 250.68/42.82 | ? [v4: any] : ? [v5: $i] : ? [v6: $i] : ? [v7: any] :
% 250.68/42.82 | (c_Groups_Oone__class_Oone(v2) = v6 &
% 250.68/42.82 | c_Orderings_Oord__class_Oless__eq(v2, v5, v6) = v7 &
% 250.68/42.82 | class_Int_Onumber__ring(v2) = v4 &
% 250.68/42.82 | c_Int_Onumber__class_Onumber__of(v2, v1) = v5 & $i(v6) & $i(v5)
% 250.68/42.82 | & ( ~ (v4 = 0) | (( ~ (v7 = 0) | v3 = 0) & ( ~ (v3 = 0) | v7 =
% 250.68/42.82 | 0))))))
% 250.68/42.82 |
% 250.68/42.82 | ALPHA: (fact_le__special_I2_J) implies:
% 250.68/42.82 | (41) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 250.68/42.82 | ! [v2: $i] : ! [v3: any] : ( ~
% 250.68/42.82 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) = v3) | ~
% 250.68/42.82 | (class_Rings_Olinordered__idom(v2) = 0) | ~ $i(v2) | ~ $i(v1) |
% 250.68/42.82 | ? [v4: any] : ? [v5: $i] : ? [v6: $i] : ? [v7: any] :
% 250.68/42.82 | (c_Groups_Oone__class_Oone(v2) = v5 &
% 250.68/42.82 | c_Orderings_Oord__class_Oless__eq(v2, v5, v6) = v7 &
% 250.68/42.82 | class_Int_Onumber__ring(v2) = v4 &
% 250.68/42.82 | c_Int_Onumber__class_Onumber__of(v2, v1) = v6 & $i(v6) & $i(v5)
% 250.68/42.82 | & ( ~ (v4 = 0) | (( ~ (v7 = 0) | v3 = 0) & ( ~ (v3 = 0) | v7 =
% 250.68/42.82 | 0))))))
% 250.68/42.82 |
% 250.68/42.82 | ALPHA: (fact_real__zero__not__eq__one) implies:
% 250.68/42.83 | (42) ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 250.68/42.83 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 250.68/42.83 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) &
% 250.68/42.83 | $i(v0))
% 250.68/42.83 |
% 250.68/42.83 | ALPHA: (fact_zabs__less__one__iff) implies:
% 250.68/42.83 | (43) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) =
% 250.68/42.83 | v0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v1 & $i(v1) & $i(v0)
% 250.68/42.83 | & ! [v2: $i] : ! [v3: $i] : (v2 = v1 | ~
% 250.68/42.83 | (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v2) = v3) | ~ $i(v2) | ?
% 250.68/42.83 | [v4: int] : ( ~ (v4 = 0) &
% 250.68/42.83 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0) = v4)) & !
% 250.68/42.83 | [v2: $i] : ( ~ (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v1) = v2) |
% 250.68/42.83 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) = 0))
% 250.68/42.83 |
% 250.68/42.83 | ALPHA: (fact_int__0__less__1) implies:
% 250.68/42.83 | (44) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) =
% 250.68/42.83 | v1 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 &
% 250.68/42.83 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) = 0 & $i(v1) &
% 250.68/42.83 | $i(v0))
% 250.68/42.83 |
% 250.68/42.83 | ALPHA: (fact_pi__not__less__zero) implies:
% 250.68/42.83 | (45) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) &
% 250.68/42.83 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.68/42.83 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.68/42.83 | c_Transcendental_Opi, v0) = v1 & $i(v0))
% 250.68/42.83 |
% 250.68/42.83 | ALPHA: (fact_pi__gt__zero) implies:
% 250.68/42.83 | (46) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.68/42.83 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 250.68/42.83 | c_Transcendental_Opi) = 0 & $i(v0))
% 250.68/42.83 |
% 250.68/42.83 | ALPHA: (fact_le__special_I3_J) implies:
% 250.68/42.83 | (47) ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~
% 250.68/42.83 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OPls) =
% 250.68/42.83 | v2) | ~ (class_Rings_Olinordered__idom(v1) = 0) | ~ $i(v1) | ~
% 250.68/42.83 | $i(v0) | ? [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: any] :
% 250.68/42.83 | (c_Orderings_Oord__class_Oless__eq(v1, v4, v5) = v6 &
% 250.68/42.83 | class_Int_Onumber__ring(v1) = v3 &
% 250.68/42.83 | c_Int_Onumber__class_Onumber__of(v1, v0) = v4 &
% 250.68/42.83 | c_Groups_Ozero__class_Ozero(v1) = v5 & $i(v5) & $i(v4) & ( ~ (v3 =
% 250.68/42.83 | 0) | (( ~ (v6 = 0) | v2 = 0) & ( ~ (v2 = 0) | v6 = 0)))))
% 250.68/42.83 |
% 250.68/42.83 | ALPHA: (fact_le__special_I1_J) implies:
% 250.68/42.83 | (48) ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~
% 250.68/42.83 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) =
% 250.68/42.83 | v2) | ~ (class_Rings_Olinordered__idom(v1) = 0) | ~ $i(v1) | ~
% 250.68/42.83 | $i(v0) | ? [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: any] :
% 250.68/42.83 | (c_Orderings_Oord__class_Oless__eq(v1, v4, v5) = v6 &
% 250.68/42.83 | class_Int_Onumber__ring(v1) = v3 &
% 250.68/42.83 | c_Int_Onumber__class_Onumber__of(v1, v0) = v5 &
% 250.68/42.83 | c_Groups_Ozero__class_Ozero(v1) = v4 & $i(v5) & $i(v4) & ( ~ (v3 =
% 250.68/42.83 | 0) | (( ~ (v6 = 0) | v2 = 0) & ( ~ (v2 = 0) | v6 = 0)))))
% 250.68/42.83 |
% 250.68/42.83 | ALPHA: (fact_abs__add__one__gt__zero) implies:
% 250.68/42.83 | (49) ? [v0: $i] : ? [v1: $i] :
% 250.68/42.83 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 250.68/42.83 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 250.68/42.83 | & ! [v2: $i] : ! [v3: $i] : ( ~
% 250.68/42.83 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v3) | ~ $i(v2)
% 250.68/42.83 | | ? [v4: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1,
% 250.68/42.83 | v3) = v4 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 250.68/42.83 | v4) = 0 & $i(v4))))
% 250.68/42.83 |
% 250.68/42.83 | ALPHA: (fact_one__add__one__is__two) implies:
% 250.68/42.83 | (50) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 250.68/42.83 | c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] :
% 250.68/42.83 | ( ~ (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ $i(v2) | ?
% 250.68/42.83 | [v4: any] : ? [v5: $i] : ? [v6: $i] :
% 250.68/42.83 | (c_Groups_Oone__class_Oone(v2) = v5 &
% 250.68/42.83 | c_Groups_Oplus__class_Oplus(v2, v5, v5) = v6 &
% 250.68/42.83 | class_Int_Onumber__ring(v2) = v4 & $i(v6) & $i(v5) & ( ~ (v4 =
% 250.68/42.83 | 0) | v6 = v3))))
% 250.68/42.83 |
% 250.68/42.83 | ALPHA: (fact_real__add__eq__0__iff) implies:
% 250.68/42.83 | (51) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.68/42.83 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 250.68/42.83 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 250.68/42.83 | $i(v2) | ~ $i(v1) | ? [v4: $i] : ( ~ (v4 = v1) &
% 250.68/42.83 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v4 &
% 250.68/42.83 | $i(v4))) & ! [v1: $i] : ! [v2: $i] : ( ~
% 250.68/42.83 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v0) | ~
% 250.68/42.83 | $i(v2) | ~ $i(v1) |
% 250.68/42.83 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v1))
% 250.68/42.83 |
% 250.68/42.83 | ALPHA: (fact_real__add__minus__iff) implies:
% 250.68/42.83 | (52) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.68/42.83 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 250.68/42.83 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v2) = v3) | ~
% 250.68/42.83 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2) | ~
% 250.68/42.83 | $i(v1)) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v2 = v1 | ~
% 250.68/42.83 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) = v0) | ~
% 250.68/42.83 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3) | ~
% 250.68/42.83 | $i(v2) | ~ $i(v1)))
% 250.68/42.83 |
% 250.68/42.83 | ALPHA: (fact_nat__numeral__1__eq__1) implies:
% 250.68/42.83 | (53) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) =
% 250.68/42.83 | v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 250.68/42.83 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1 & $i(v1) &
% 250.68/42.83 | $i(v0))
% 250.68/42.83 |
% 250.68/42.83 | ALPHA: (fact_Numeral1__eq1__nat) implies:
% 250.68/42.83 | (54) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) =
% 250.68/42.83 | v0 & c_Int_OBit1(c_Int_OPls) = v1 &
% 250.68/42.83 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v0 & $i(v1) &
% 250.68/42.83 | $i(v0))
% 250.68/42.83 |
% 250.68/42.83 | ALPHA: (fact_one__is__num__one) implies:
% 250.68/42.83 | (55) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) =
% 250.68/42.83 | v0 & c_Int_OBit1(c_Int_OPls) = v1 &
% 250.68/42.83 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v0 & $i(v1) &
% 250.68/42.83 | $i(v0))
% 250.68/42.83 |
% 250.68/42.83 | ALPHA: (fact_semiring__norm_I110_J) implies:
% 250.68/42.83 | (56) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 250.68/42.83 | ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) |
% 250.68/42.83 | ~ $i(v1) | ? [v3: any] : ? [v4: $i] :
% 250.68/42.83 | (c_Groups_Oone__class_Oone(v1) = v4 & class_Int_Onumber__ring(v1)
% 250.68/42.83 | = v3 & $i(v4) & ( ~ (v3 = 0) | v4 = v2))))
% 250.68/42.83 |
% 250.68/42.83 | ALPHA: (fact_real__add__less__0__iff) implies:
% 250.68/42.83 | (57) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.68/42.83 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 250.68/42.83 | (v4 = 0 | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2)
% 250.68/42.83 | = v3) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 250.68/42.83 | v3) = v4) | ~ $i(v2) | ~ $i(v1) | ? [v5: $i] : ? [v6: int]
% 250.68/42.83 | : ( ~ (v6 = 0) & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2,
% 250.68/42.83 | v1) = v5 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5,
% 250.68/42.83 | v0) = v6 & $i(v5))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 250.68/42.83 | : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3) |
% 250.68/42.83 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v3) = 0) |
% 250.68/42.83 | ~ $i(v2) | ~ $i(v1) | ? [v4: $i] :
% 250.68/42.83 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v4 &
% 250.68/42.83 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v0) = 0 &
% 250.68/42.83 | $i(v4))))
% 250.68/42.83 |
% 250.68/42.83 | ALPHA: (fact_real__0__less__add__iff) implies:
% 250.68/42.83 | (58) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.68/42.83 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 250.68/42.83 | (v4 = 0 | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2)
% 250.68/42.83 | = v3) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3,
% 250.68/42.83 | v1) = v4) | ~ $i(v2) | ~ $i(v1) | ? [v5: $i] : ? [v6: int]
% 250.68/42.83 | : ( ~ (v6 = 0) & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2,
% 250.68/42.83 | v1) = v5 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 250.68/42.83 | v5) = v6 & $i(v5))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 250.68/42.83 | : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3) |
% 250.68/42.83 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v1) = 0) |
% 250.68/42.83 | ~ $i(v2) | ~ $i(v1) | ? [v4: $i] :
% 250.68/42.83 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v4 &
% 250.68/42.83 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) = 0 &
% 250.68/42.83 | $i(v4))))
% 250.68/42.83 |
% 250.68/42.83 | ALPHA: (fact_pi__less__4) implies:
% 250.68/42.83 | (59) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 250.68/42.83 | (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v1) = v2 & c_Int_OBit0(v0)
% 250.68/42.83 | = v1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 250.68/42.83 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.68/42.83 | c_Transcendental_Opi, v3) = 0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 250.68/42.83 |
% 250.68/42.83 | ALPHA: (fact_pi__half__neq__two) implies:
% 250.68/42.83 | (60) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ( ~ (v3 = v2)
% 250.68/42.83 | & c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 250.68/42.83 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 250.68/42.83 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.68/42.83 | c_Transcendental_Opi, v2) = v3 & $i(v3) & $i(v2) & $i(v1) &
% 250.68/42.83 | $i(v0))
% 250.68/42.83 |
% 250.68/42.83 | ALPHA: (fact_pi__half__less__two) implies:
% 250.68/42.83 | (61) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 250.68/42.83 | (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 250.68/42.83 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 250.68/42.83 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.68/42.83 | c_Transcendental_Opi, v2) = v3 &
% 250.68/42.83 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2) = 0 & $i(v3)
% 250.68/42.83 | & $i(v2) & $i(v1) & $i(v0))
% 250.68/42.83 |
% 250.68/42.83 | ALPHA: (fact_pi__half__neq__zero) implies:
% 250.68/42.83 | (62) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.68/42.83 | ( ~ (v4 = v3) & c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 250.68/42.83 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 250.68/42.83 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.68/42.83 | c_Transcendental_Opi, v2) = v3 &
% 250.68/42.83 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v4 & $i(v4) & $i(v3)
% 250.68/42.83 | & $i(v2) & $i(v1) & $i(v0))
% 250.68/42.83 |
% 250.68/42.83 | ALPHA: (fact_less__special_I4_J) implies:
% 250.68/42.83 | (63) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 250.68/42.83 | ! [v2: $i] : ! [v3: any] : ( ~ (class_Rings_Olinordered__idom(v2) =
% 250.68/42.83 | 0) | ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) =
% 250.68/42.83 | v3) | ~ $i(v2) | ~ $i(v1) | ? [v4: any] : ? [v5: $i] : ?
% 250.68/42.83 | [v6: $i] : ? [v7: any] : (c_Groups_Oone__class_Oone(v2) = v6 &
% 250.68/42.83 | class_Int_Onumber__ring(v2) = v4 &
% 250.68/42.83 | c_Int_Onumber__class_Onumber__of(v2, v1) = v5 &
% 250.68/42.83 | c_Orderings_Oord__class_Oless(v2, v5, v6) = v7 & $i(v6) & $i(v5)
% 250.68/42.83 | & ( ~ (v4 = 0) | (( ~ (v7 = 0) | v3 = 0) & ( ~ (v3 = 0) | v7 =
% 250.68/42.83 | 0))))))
% 250.68/42.83 |
% 250.68/42.83 | ALPHA: (fact_less__special_I2_J) implies:
% 250.68/42.83 | (64) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 250.68/42.83 | ! [v2: $i] : ! [v3: any] : ( ~ (class_Rings_Olinordered__idom(v2) =
% 250.68/42.83 | 0) | ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) =
% 250.68/42.83 | v3) | ~ $i(v2) | ~ $i(v1) | ? [v4: any] : ? [v5: $i] : ?
% 250.68/42.83 | [v6: $i] : ? [v7: any] : (c_Groups_Oone__class_Oone(v2) = v5 &
% 250.68/42.83 | class_Int_Onumber__ring(v2) = v4 &
% 250.68/42.83 | c_Int_Onumber__class_Onumber__of(v2, v1) = v6 &
% 250.68/42.83 | c_Orderings_Oord__class_Oless(v2, v5, v6) = v7 & $i(v6) & $i(v5)
% 250.68/42.83 | & ( ~ (v4 = 0) | (( ~ (v7 = 0) | v3 = 0) & ( ~ (v3 = 0) | v7 =
% 250.68/42.83 | 0))))))
% 250.68/42.83 |
% 250.68/42.83 | ALPHA: (fact_pi__half__gt__zero) implies:
% 250.68/42.83 | (65) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.68/42.83 | (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 250.68/42.83 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 250.68/42.83 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.68/42.83 | c_Transcendental_Opi, v3) = v4 &
% 250.68/42.83 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.68/42.83 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) = 0 & $i(v4)
% 250.68/42.83 | & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 250.68/42.83 |
% 250.68/42.83 | ALPHA: (fact_real__average__minus__second) implies:
% 250.68/42.83 | (66) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 250.68/42.83 | v0 & c_Int_OBit0(v0) = v1 &
% 250.68/42.83 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2)
% 250.68/42.83 | & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 250.68/42.83 | [v6: $i] : ! [v7: $i] : ( ~
% 250.68/42.83 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5) | ~
% 250.68/42.83 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v2) = v6) |
% 250.68/42.83 | ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v6, v3) = v7)
% 250.68/42.83 | | ~ $i(v4) | ~ $i(v3) | ? [v8: $i] :
% 250.68/42.83 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v8, v2) = v7 &
% 250.68/42.83 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v4, v3) = v8 &
% 250.68/42.83 | $i(v8) & $i(v7))))
% 250.68/42.83 |
% 250.68/42.83 | ALPHA: (fact_real__average__minus__first) implies:
% 250.68/42.83 | (67) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 250.68/42.83 | v0 & c_Int_OBit0(v0) = v1 &
% 250.68/42.83 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2)
% 250.68/42.83 | & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 250.68/42.83 | [v6: $i] : ! [v7: $i] : ( ~
% 250.68/42.83 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5) | ~
% 250.68/42.83 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v2) = v6) |
% 250.68/42.83 | ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v6, v4) = v7)
% 250.68/42.83 | | ~ $i(v4) | ~ $i(v3) | ? [v8: $i] :
% 250.68/42.83 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v8, v2) = v7 &
% 250.68/42.83 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v4) = v8 &
% 250.68/42.83 | $i(v8) & $i(v7))))
% 250.68/42.83 |
% 250.68/42.83 | ALPHA: (fact_real__sum__of__halves) implies:
% 250.68/42.84 | (68) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 250.68/42.84 | v0 & c_Int_OBit0(v0) = v1 &
% 250.68/42.84 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2)
% 250.68/42.84 | & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 =
% 250.68/42.84 | v3 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v4) =
% 250.68/42.84 | v5) | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v3,
% 250.68/42.84 | v2) = v4) | ~ $i(v3)))
% 250.68/42.84 |
% 250.68/42.84 | ALPHA: (fact_g_I2_J) implies:
% 250.68/42.84 | (69) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 250.68/42.84 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v2 &
% 250.68/42.84 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 &
% 250.68/42.84 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v1 &
% 250.68/42.84 | $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 250.68/42.84 | ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i]
% 250.68/42.84 | : ! [v11: int] : (v11 = 0 | ~ (c_Nat_OSuc(v3) = v7) | ~
% 250.68/42.84 | (c_RealDef_Oreal(tc_Nat_Onat, v7) = v8) | ~
% 250.68/42.84 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v9) = v10) | ~
% 250.68/42.84 | (v_g____(v3) = v4) | ~
% 250.68/42.84 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v8) = v9) |
% 250.68/42.84 | ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6)
% 250.68/42.84 | | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v10) =
% 250.68/42.84 | v11) | ~ (hAPP(v0, v4) = v5) | ~ $i(v3)))
% 250.68/42.84 |
% 250.68/42.84 | ALPHA: (fact_rp) implies:
% 250.68/42.84 | (70) ? [v0: $i] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 250.68/42.84 | v_r) = 0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.68/42.84 | $i(v0))
% 250.68/42.84 |
% 250.68/42.84 | ALPHA: (fact_real__of__nat__ge__zero) implies:
% 250.68/42.84 | (71) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.68/42.84 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 250.68/42.84 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~ $i(v1) |
% 250.68/42.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) = 0))
% 250.68/42.84 |
% 250.68/42.84 | ALPHA: (fact_zle__add1__eq__le) implies:
% 250.68/42.84 | (72) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v0) &
% 250.68/42.84 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~
% 250.68/42.84 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~
% 250.68/42.84 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3) = v4) | ~
% 250.68/42.84 | $i(v2) | ~ $i(v1) | ? [v5: int] : ( ~ (v5 = 0) &
% 250.68/42.84 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1) = v5)) &
% 250.68/42.84 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 250.68/42.84 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~
% 250.68/42.84 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3) = 0) | ~
% 250.68/42.84 | $i(v2) | ~ $i(v1) |
% 250.68/42.84 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1) = 0))
% 250.68/42.84 |
% 250.68/42.84 | ALPHA: (fact_add1__zle__eq) implies:
% 250.68/42.84 | (73) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v0) &
% 250.68/42.84 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~
% 250.68/42.84 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v0) = v3) | ~
% 250.68/42.84 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v1) = v4) | ~
% 250.68/42.84 | $i(v2) | ~ $i(v1) | ? [v5: int] : ( ~ (v5 = 0) &
% 250.68/42.84 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v5)) & !
% 250.68/42.84 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 250.68/42.84 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v0) = v3) | ~
% 250.68/42.84 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v1) = 0) | ~
% 250.68/42.84 | $i(v2) | ~ $i(v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 250.68/42.84 | v2, v1) = 0))
% 250.68/42.84 |
% 250.68/42.84 | ALPHA: (fact_zless__imp__add1__zle) implies:
% 250.68/42.84 | (74) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v0) &
% 250.68/42.84 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~
% 250.68/42.84 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v0) = v3) | ~
% 250.68/42.84 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v1) = v4) | ~
% 250.68/42.84 | $i(v2) | ~ $i(v1) | ? [v5: int] : ( ~ (v5 = 0) &
% 250.68/42.84 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v5)))
% 250.68/42.84 |
% 250.68/42.84 | ALPHA: (fact_real__of__nat__Suc__gt__zero) implies:
% 250.68/42.84 | (75) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.68/42.84 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_Nat_OSuc(v1) = v2) | ~
% 250.68/42.84 | $i(v1) | ? [v3: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3 &
% 250.68/42.84 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = 0 &
% 250.68/42.84 | $i(v3))))
% 250.68/42.84 |
% 250.68/42.84 | ALPHA: (fact_real__of__nat__le__zero__cancel__iff) implies:
% 250.68/42.84 | (76) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 250.68/42.84 | = v1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) &
% 250.68/42.84 | $i(v0) & ! [v2: $i] : ! [v3: $i] : (v2 = v1 | ~
% 250.68/42.84 | (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~ $i(v2) | ? [v4: int]
% 250.68/42.84 | : ( ~ (v4 = 0) &
% 250.68/42.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) =
% 250.68/42.84 | v4)) & ! [v2: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2)
% 250.68/42.84 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) =
% 250.68/42.84 | 0))
% 250.68/42.84 |
% 250.68/42.84 | ALPHA: (fact_le__imp__0__less) implies:
% 250.68/42.84 | (77) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) =
% 250.68/42.84 | v1 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0)
% 250.68/42.84 | & ! [v2: $i] : ! [v3: $i] : ( ~
% 250.68/42.84 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v2) = v3) | ~
% 250.68/42.84 | $i(v2) | ? [v4: any] : ? [v5: any] :
% 250.68/42.84 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) = v4 &
% 250.68/42.84 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) = v5 & ( ~
% 250.68/42.84 | (v4 = 0) | v5 = 0))))
% 250.68/42.84 |
% 250.68/42.84 | ALPHA: (fact_Bit1__def) implies:
% 250.68/42.84 | (78) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v0) &
% 250.68/42.84 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 250.68/42.84 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v3) | ~
% 250.68/42.84 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v2) | ~
% 250.68/42.84 | $i(v1) | (c_Int_OBit1(v1) = v3 & $i(v3))))
% 250.68/42.84 |
% 250.68/42.84 | ALPHA: (fact_zadd__0__right) implies:
% 250.68/42.84 | (79) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 250.68/42.84 | & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 250.68/42.84 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~
% 250.68/42.84 | $i(v1)))
% 250.68/42.84 |
% 250.68/42.84 | ALPHA: (fact_zadd__0) implies:
% 250.68/42.84 | (80) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 250.68/42.84 | & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 250.68/42.84 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v2) | ~
% 250.68/42.84 | $i(v1)))
% 250.68/42.84 |
% 250.68/42.84 | ALPHA: (fact_odd__nonzero) implies:
% 250.68/42.84 | (81) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) =
% 250.68/42.84 | v0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v1 & $i(v1) & $i(v0)
% 250.68/42.84 | & ! [v2: $i] : ! [v3: $i] : ( ~
% 250.68/42.84 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v2) = v1) | ~
% 250.68/42.84 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v2) = v3) | ~
% 250.68/42.84 | $i(v2)))
% 250.68/42.84 |
% 250.68/42.84 | ALPHA: (fact_zless__add1__eq) implies:
% 250.68/42.84 | (82) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v0) &
% 250.68/42.84 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~
% 250.68/42.84 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~
% 250.68/42.84 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3) = v4) | ~
% 250.68/42.84 | $i(v2) | ~ $i(v1) | ( ~ (v2 = v1) & ? [v5: int] : ( ~ (v5 = 0) &
% 250.68/42.84 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v5))) &
% 250.68/42.84 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v2 = v1 | ~
% 250.68/42.84 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~
% 250.68/42.84 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3) = 0) | ~
% 250.68/42.84 | $i(v2) | ~ $i(v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 250.68/42.84 | v2, v1) = 0))
% 250.68/42.84 |
% 250.68/42.84 | ALPHA: (fact_Suc3__eq__add__3) implies:
% 250.68/42.84 | (83) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(v0) = v1 &
% 250.68/42.84 | c_Int_OBit1(c_Int_OPls) = v0 &
% 250.68/42.84 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 250.68/42.84 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 250.68/42.84 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v3) = v4) | ~
% 250.68/42.84 | $i(v3) | ? [v5: $i] : ? [v6: $i] : (c_Nat_OSuc(v6) = v4 &
% 250.68/42.84 | c_Nat_OSuc(v5) = v6 & c_Nat_OSuc(v3) = v5 & $i(v6) & $i(v5) &
% 250.68/42.84 | $i(v4))))
% 250.68/42.84 |
% 250.68/42.84 | ALPHA: (fact_add__2__eq__Suc_H) implies:
% 250.68/42.84 | (84) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 250.68/42.84 | v0 & c_Int_OBit0(v0) = v1 &
% 250.68/42.84 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 250.68/42.84 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 250.68/42.84 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v2) = v4) | ~
% 250.68/42.84 | $i(v3) | ? [v5: $i] : (c_Nat_OSuc(v5) = v4 & c_Nat_OSuc(v3) = v5
% 250.68/42.84 | & $i(v5) & $i(v4))))
% 250.68/42.84 |
% 250.68/42.84 | ALPHA: (fact_add__2__eq__Suc) implies:
% 250.68/42.84 | (85) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 250.68/42.84 | v0 & c_Int_OBit0(v0) = v1 &
% 250.68/42.84 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 250.68/42.84 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 250.68/42.84 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v3) = v4) | ~
% 250.68/42.84 | $i(v3) | ? [v5: $i] : (c_Nat_OSuc(v5) = v4 & c_Nat_OSuc(v3) = v5
% 250.68/42.84 | & $i(v5) & $i(v4))))
% 250.68/42.84 |
% 250.68/42.84 | ALPHA: (fact_real__of__nat__zero) implies:
% 250.68/42.84 | (86) ? [v0: $i] : ? [v1: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1 &
% 250.68/42.84 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 250.68/42.84 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) &
% 250.68/42.84 | $i(v0))
% 250.68/42.84 |
% 250.68/42.84 | ALPHA: (fact_real__of__nat__zero__iff) implies:
% 250.68/42.84 | (87) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 250.68/42.84 | = v1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) &
% 250.68/42.84 | $i(v0) & ! [v2: $i] : (v2 = v1 | ~ (c_RealDef_Oreal(tc_Nat_Onat,
% 250.68/42.84 | v2) = v0) | ~ $i(v2)) & ! [v2: $i] : (v2 = v0 | ~
% 250.68/42.84 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2)))
% 250.68/42.84 |
% 250.68/42.84 | ALPHA: (fact_not__real__of__nat__less__zero) implies:
% 250.68/42.84 | (88) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.68/42.84 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 250.68/42.84 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~ $i(v1) | ? [v3: int]
% 250.68/42.84 | : ( ~ (v3 = 0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.68/42.84 | v2, v0) = v3)))
% 250.68/42.84 |
% 250.68/42.84 | ALPHA: (fact_odd__less__0) implies:
% 250.68/42.84 | (89) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) =
% 250.68/42.84 | v0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v1 & $i(v1) & $i(v0)
% 250.68/42.84 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 250.68/42.84 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v2) = v4) | ~
% 250.68/42.84 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v2) = v3) | ~
% 250.68/42.84 | $i(v2) | ? [v5: any] : ? [v6: any] :
% 250.68/42.84 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v1) = v6 &
% 250.68/42.84 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v5 & ( ~
% 250.68/42.84 | (v5 = 0) | v6 = 0))) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i]
% 250.68/42.84 | : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v2) = v4) | ~
% 250.68/42.84 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v2) = v3) | ~
% 250.68/42.84 | $i(v2) | ? [v5: any] : ? [v6: any] :
% 250.68/42.84 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v1) = v5 &
% 250.68/42.84 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v6 & ( ~
% 250.68/42.84 | (v5 = 0) | v6 = 0))))
% 250.68/42.84 |
% 250.68/42.84 | ALPHA: (fact_int__one__le__iff__zero__less) implies:
% 250.68/42.84 | (90) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) =
% 250.68/42.84 | v0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v1 & $i(v1) & $i(v0)
% 250.68/42.84 | & ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 250.68/42.84 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) = v3) | ~
% 250.68/42.84 | $i(v2) | ? [v4: int] : ( ~ (v4 = 0) &
% 250.68/42.84 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) = v4)) & !
% 250.68/42.84 | [v2: $i] : ( ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0,
% 250.68/42.84 | v2) = 0) | ~ $i(v2) |
% 250.68/42.84 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) = 0))
% 250.68/42.84 |
% 250.68/42.84 | ALPHA: (fact_zadd__zminus__inverse2) implies:
% 250.68/42.84 | (91) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 250.68/42.84 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 250.68/42.84 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v3) | ~
% 250.68/42.84 | (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2) | ~
% 250.68/42.84 | $i(v1)))
% 250.68/42.84 |
% 250.68/42.84 | ALPHA: (fact_norm__ge__zero) implies:
% 250.68/42.84 | (92) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.68/42.84 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 250.68/42.84 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ $i(v2) | ~
% 250.68/42.84 | $i(v1) | ? [v4: any] : ? [v5: any] :
% 250.68/42.84 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) = v5
% 250.68/42.84 | & class_RealVector_Oreal__normed__vector(v2) = v4 & ( ~ (v4 = 0)
% 250.68/42.84 | | v5 = 0))))
% 250.68/42.84 |
% 250.68/42.84 | ALPHA: (fact_real__0__le__divide__iff) implies:
% 250.68/42.84 | (93) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.68/42.84 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] : (
% 250.68/42.84 | ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) =
% 250.68/42.84 | v4) | ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 250.68/42.84 | v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ? [v5: $i] : ? [v6:
% 250.68/42.84 | any] : ? [v7: any] : ? [v8: any] :
% 250.68/42.84 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) = v7
% 250.68/42.84 | & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) =
% 250.68/42.84 | v8 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v5)
% 250.68/42.84 | = v6 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1)
% 250.68/42.84 | = v5 & $i(v5) & ( ~ (v6 = 0) | ((v8 = 0 | v4 = 0) & (v7 = 0 | v3
% 250.68/42.84 | = 0))))) & ! [v1: $i] : ! [v2: $i] : ! [v3: any] : !
% 250.68/42.84 | [v4: any] : ( ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 250.68/42.84 | v0, v2) = v4) | ~
% 250.68/42.84 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) = v3)
% 250.68/42.84 | | ~ $i(v2) | ~ $i(v1) | ? [v5: any] : ? [v6: any] : ? [v7:
% 250.68/42.84 | $i] : ? [v8: any] :
% 250.68/42.84 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) = v5
% 250.68/42.84 | & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) =
% 250.68/42.84 | v6 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v7)
% 250.68/42.84 | = v8 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1)
% 250.68/42.84 | = v7 & $i(v7) & (v8 = 0 | ( ~ (v6 = 0) & ~ (v4 = 0)) | ( ~ (v5
% 250.68/42.84 | = 0) & ~ (v3 = 0))))))
% 250.68/42.84 |
% 250.68/42.84 | ALPHA: (fact_real__le__eq__diff) implies:
% 250.68/42.84 | (94) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.68/42.84 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 250.68/42.84 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v1) = v3) |
% 250.68/42.84 | ~ $i(v2) | ~ $i(v1) | ? [v4: any] : ? [v5: any] :
% 250.68/42.84 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) = v5
% 250.68/42.84 | & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1) =
% 250.68/42.84 | v4 & ( ~ (v4 = 0) | v5 = 0))) & ! [v1: $i] : ! [v2: $i] : !
% 250.68/42.84 | [v3: $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2,
% 250.68/42.84 | v1) = v3) | ~ $i(v2) | ~ $i(v1) | ? [v4: any] : ? [v5:
% 250.68/42.84 | any] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3,
% 250.68/42.84 | v0) = v4 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 250.68/42.84 | v2, v1) = v5 & ( ~ (v4 = 0) | v5 = 0))))
% 250.68/42.84 |
% 250.68/42.84 | ALPHA: (fact_pi__ge__zero) implies:
% 250.68/42.84 | (95) ? [v0: $i] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 250.68/42.84 | c_Transcendental_Opi) = 0 &
% 250.68/42.84 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0))
% 250.68/42.84 |
% 250.68/42.84 | ALPHA: (fact_zle__diff1__eq) implies:
% 250.68/42.84 | (96) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v0) &
% 250.68/42.84 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~
% 250.68/42.84 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3) = v4) | ~
% 250.68/42.84 | (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v1, v0) = v3) | ~
% 250.68/42.84 | $i(v2) | ~ $i(v1) | ? [v5: int] : ( ~ (v5 = 0) &
% 250.68/42.84 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v5)) & !
% 250.68/42.84 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 250.68/42.84 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3) = 0) | ~
% 250.68/42.84 | (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v1, v0) = v3) | ~
% 250.68/42.84 | $i(v2) | ~ $i(v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 250.68/42.84 | v2, v1) = 0))
% 250.68/42.84 |
% 250.68/42.84 | ALPHA: (fact_norm__le__zero__iff) implies:
% 250.68/42.84 | (97) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.68/42.84 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 250.68/42.84 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ $i(v2) | ~
% 250.68/42.84 | $i(v1) | ? [v4: any] : ? [v5: any] : ? [v6: $i] :
% 250.68/42.84 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) = v5
% 250.68/42.84 | & class_RealVector_Oreal__normed__vector(v2) = v4 &
% 250.68/42.84 | c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~ (v4 = 0) |
% 250.68/42.84 | (( ~ (v6 = v1) | v5 = 0) & ( ~ (v5 = 0) | v6 = v1))))))
% 250.68/42.84 |
% 250.68/42.84 | ALPHA: (fact_real__add__le__0__iff) implies:
% 250.68/42.85 | (98) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.68/42.85 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 250.68/42.85 | (v4 = 0 | ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 250.68/42.85 | v1, v3) = v4) | ~
% 250.68/42.85 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3) | ~
% 250.68/42.85 | $i(v2) | ~ $i(v1) | ? [v5: $i] : ? [v6: int] : ( ~ (v6 = 0) &
% 250.68/42.85 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v5 &
% 250.68/42.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v0) = v6
% 250.68/42.85 | & $i(v5))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 250.68/42.85 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v3) = 0)
% 250.68/42.85 | | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3)
% 250.68/42.85 | | ~ $i(v2) | ~ $i(v1) | ? [v4: $i] :
% 250.68/42.85 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v4 &
% 250.68/42.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v0) = 0
% 250.68/42.85 | & $i(v4))))
% 250.68/42.85 |
% 250.68/42.85 | ALPHA: (fact_real__0__le__add__iff) implies:
% 250.68/42.85 | (99) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.68/42.85 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 250.68/42.85 | (v4 = 0 | ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 250.68/42.85 | v3, v1) = v4) | ~
% 250.68/42.85 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3) | ~
% 250.68/42.85 | $i(v2) | ~ $i(v1) | ? [v5: $i] : ? [v6: int] : ( ~ (v6 = 0) &
% 250.68/42.85 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v5 &
% 250.68/42.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v5) = v6
% 250.68/42.85 | & $i(v5))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 250.68/42.85 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v1) = 0)
% 250.68/42.85 | | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3)
% 250.68/42.85 | | ~ $i(v2) | ~ $i(v1) | ? [v4: $i] :
% 250.68/42.85 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v4 &
% 250.68/42.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v4) = 0
% 250.68/42.85 | & $i(v4))))
% 250.68/42.85 |
% 250.68/42.85 | ALPHA: (fact_real__of__nat__gt__zero__cancel__iff) implies:
% 250.68/42.85 | (100) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 250.68/42.85 | = v1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1)
% 250.68/42.85 | & $i(v0) & ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 250.68/42.85 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) = v3) | ~
% 250.68/42.85 | $i(v2) | ? [v4: $i] : ? [v5: int] : ( ~ (v5 = 0) &
% 250.68/42.85 | c_RealDef_Oreal(tc_Nat_Onat, v2) = v4 &
% 250.68/42.85 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) = v5 &
% 250.68/42.85 | $i(v4))) & ! [v2: $i] : ( ~
% 250.68/42.85 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) = 0) | ~
% 250.68/42.85 | $i(v2) | ? [v3: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3 &
% 250.68/42.85 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = 0 &
% 250.68/42.85 | $i(v3))))
% 250.68/42.85 |
% 250.68/42.85 | ALPHA: (fact_numeral__1__eq__Suc__0) implies:
% 250.68/42.85 | (101) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Nat_OSuc(v2) = v1 &
% 250.68/42.85 | c_Int_OBit1(c_Int_OPls) = v0 &
% 250.68/42.85 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1 &
% 250.68/42.85 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v2 & $i(v2) & $i(v1) &
% 250.68/42.85 | $i(v0))
% 250.68/42.85 |
% 250.68/42.85 | ALPHA: (fact_numeral__3__eq__3) implies:
% 250.68/42.85 | (102) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.68/42.85 | ? [v5: $i] : (c_Nat_OSuc(v5) = v2 & c_Nat_OSuc(v4) = v5 &
% 250.68/42.85 | c_Nat_OSuc(v3) = v4 & c_Int_OBit1(v0) = v1 &
% 250.68/42.85 | c_Int_OBit1(c_Int_OPls) = v0 &
% 250.68/42.85 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 250.68/42.85 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v3 & $i(v5) & $i(v4) &
% 250.68/42.85 | $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 250.68/42.85 |
% 250.68/42.85 | ALPHA: (fact_Suc__diff__eq__diff__pred) implies:
% 250.68/42.85 | (103) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 250.68/42.85 | v1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 250.68/42.85 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = v0 &
% 250.68/42.85 | $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 250.68/42.85 | : ! [v6: $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v4,
% 250.68/42.85 | v2) = v5) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,
% 250.68/42.85 | v3, v5) = v6) | ~ $i(v4) | ~ $i(v3) | ? [v7: any] : ?
% 250.68/42.85 | [v8: $i] : ? [v9: $i] : (c_Nat_OSuc(v3) = v8 &
% 250.68/42.85 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v8, v4) = v9 &
% 250.68/42.85 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v4) = v7 &
% 250.68/42.85 | $i(v9) & $i(v8) & ( ~ (v7 = 0) | v9 = v6))))
% 250.68/42.85 |
% 250.68/42.85 | ALPHA: (fact_nat__1__add__1) implies:
% 250.68/42.85 | (104) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 250.68/42.85 | (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 250.68/42.85 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v0) = v1 &
% 250.68/42.85 | c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 &
% 250.68/42.85 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v1 & $i(v3) &
% 250.68/42.85 | $i(v2) & $i(v1) & $i(v0))
% 250.68/42.85 |
% 250.68/42.85 | ALPHA: (fact_semiring__norm_I115_J) implies:
% 250.68/42.85 | (105) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.68/42.85 | (c_Nat_OSuc(v1) = v2 & c_Nat_OSuc(v0) = v1 & c_Int_OBit1(c_Int_OPls)
% 250.68/42.85 | = v3 & c_Int_OBit0(v3) = v4 &
% 250.68/42.85 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v4) = v2 &
% 250.68/42.85 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v4) & $i(v3) &
% 250.68/42.85 | $i(v2) & $i(v1) & $i(v0))
% 250.68/42.85 |
% 250.68/42.85 | ALPHA: (fact_numeral__2__eq__2) implies:
% 250.68/42.85 | (106) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.68/42.85 | (c_Nat_OSuc(v4) = v2 & c_Nat_OSuc(v3) = v4 & c_Int_OBit1(c_Int_OPls)
% 250.68/42.85 | = v0 & c_Int_OBit0(v0) = v1 &
% 250.68/42.85 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 250.68/42.85 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v3 & $i(v4) & $i(v3) &
% 250.68/42.85 | $i(v2) & $i(v1) & $i(v0))
% 250.68/42.85 |
% 250.68/42.85 | ALPHA: (fact_pi__ge__two) implies:
% 250.68/42.85 | (107) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 250.68/42.85 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 250.68/42.85 | c_Transcendental_Opi) = 0 & c_Int_OBit1(c_Int_OPls) = v0 &
% 250.68/42.85 | c_Int_OBit0(v0) = v1 &
% 250.68/42.85 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 250.68/42.85 | $i(v2) & $i(v1) & $i(v0))
% 250.68/42.85 |
% 250.68/42.85 | ALPHA: (fact_less__2__cases) implies:
% 250.68/42.85 | (108) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.68/42.85 | (c_Nat_OSuc(v3) = v4 & c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0)
% 250.68/42.85 | = v1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 250.68/42.85 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v3 & $i(v4) & $i(v3) &
% 250.68/42.85 | $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : (v5 = v4 | v5 = v3 | ~
% 250.68/42.85 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v2) = 0) | ~
% 250.68/42.85 | $i(v5)))
% 250.68/42.85 |
% 250.68/42.85 | ALPHA: (fact_diff__special_I1_J) implies:
% 250.68/42.85 | (109) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 250.68/42.85 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 250.68/42.85 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v3) = v4) | ~
% 250.68/42.85 | (c_Int_Onumber__class_Onumber__of(v2, v4) = v5) | ~
% 250.68/42.85 | (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v3) | ~
% 250.68/42.85 | $i(v2) | ~ $i(v1) | ? [v6: any] : ? [v7: $i] : ? [v8: $i] :
% 250.68/42.85 | ? [v9: $i] : (c_Groups_Oone__class_Oone(v2) = v7 &
% 250.68/42.85 | class_Int_Onumber__ring(v2) = v6 &
% 250.68/42.85 | c_Int_Onumber__class_Onumber__of(v2, v1) = v8 &
% 250.68/42.85 | c_Groups_Ominus__class_Ominus(v2, v7, v8) = v9 & $i(v9) &
% 250.68/42.85 | $i(v8) & $i(v7) & ( ~ (v6 = 0) | v9 = v5))))
% 250.68/42.85 |
% 250.68/42.85 | ALPHA: (fact_diff__special_I2_J) implies:
% 250.68/42.85 | (110) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 250.68/42.85 | c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v1 & $i(v1) &
% 250.68/42.85 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (
% 250.68/42.85 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v4) | ~
% 250.68/42.85 | (c_Int_Onumber__class_Onumber__of(v3, v4) = v5) | ~ $i(v3) | ~
% 250.68/42.85 | $i(v2) | ? [v6: any] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 250.68/42.85 | (c_Groups_Oone__class_Oone(v3) = v8 & class_Int_Onumber__ring(v3)
% 250.68/42.85 | = v6 & c_Int_Onumber__class_Onumber__of(v3, v2) = v7 &
% 250.68/42.85 | c_Groups_Ominus__class_Ominus(v3, v7, v8) = v9 & $i(v9) &
% 250.68/42.85 | $i(v8) & $i(v7) & ( ~ (v6 = 0) | v9 = v5))))
% 250.68/42.85 |
% 250.68/42.85 | ALPHA: (fact_pi__half__le__two) implies:
% 250.68/42.85 | (111) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 250.68/42.85 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2) = 0 &
% 250.68/42.85 | c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 250.68/42.85 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 250.68/42.85 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.68/42.85 | c_Transcendental_Opi, v2) = v3 & $i(v3) & $i(v2) & $i(v1) &
% 250.68/42.85 | $i(v0))
% 250.68/42.85 |
% 250.68/42.85 | ALPHA: (fact_pi__half__ge__zero) implies:
% 250.68/42.85 | (112) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.68/42.85 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v4) = 0 &
% 250.68/42.85 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 250.68/42.85 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 250.68/42.85 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.68/42.85 | c_Transcendental_Opi, v3) = v4 &
% 250.68/42.85 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v4) &
% 250.68/42.85 | $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 250.68/42.85 |
% 250.68/42.85 | ALPHA: (fact_int__pos__lt__two__imp__zero__or__one) implies:
% 250.68/42.85 | (113) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.68/42.85 | (c_Groups_Oone__class_Oone(tc_Int_Oint) = v4 &
% 250.68/42.85 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 250.68/42.85 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 &
% 250.68/42.85 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v4) & $i(v3) &
% 250.68/42.85 | $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : (v5 = v4 | v5 = v0 | ~
% 250.68/42.85 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v5, v3) = 0) | ~
% 250.68/42.85 | $i(v5) | ? [v6: int] : ( ~ (v6 = 0) &
% 250.68/42.85 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v5) = v6)))
% 250.68/42.85 |
% 250.68/42.85 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J)
% 250.68/42.85 | implies:
% 250.68/42.85 | (114) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 250.68/42.85 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3) = 0 &
% 250.68/42.85 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 250.68/42.85 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 &
% 250.68/42.85 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v3) & $i(v2) &
% 250.68/42.85 | $i(v1) & $i(v0))
% 250.68/42.85 |
% 250.68/42.85 | ALPHA: (fact_lemma__NBseq__def) implies:
% 250.68/42.85 | (115) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.68/42.85 | $i(v0) & ? [v1: $i] : ! [v2: $i] : ( ~
% 250.68/42.85 | (class_RealVector_Oreal__normed__vector(v2) = 0) | ~ $i(v2) | ~
% 250.68/42.85 | $i(v1) | (( ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 250.68/42.85 | (c_Nat_OSuc(v3) = v4 & c_RealDef_Oreal(tc_Nat_Onat, v4) = v5
% 250.68/42.85 | & $i(v5) & $i(v4) & $i(v3) & ! [v6: $i] : ! [v7: $i] : !
% 250.68/42.85 | [v8: $i] : ! [v9: int] : (v9 = 0 | ~
% 250.68/42.85 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v8,
% 250.68/42.85 | v5) = v9) | ~ (c_RealVector_Onorm__class_Onorm(v2,
% 250.68/42.85 | v7) = v8) | ~ (hAPP(v1, v6) = v7) | ~ $i(v6))) | !
% 250.68/42.85 | [v3: $i] : ( ~
% 250.68/42.85 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) =
% 250.68/42.85 | 0) | ~ $i(v3) | ? [v4: $i] : ? [v5: $i] : ? [v6: $i]
% 250.68/42.85 | : ? [v7: int] : ( ~ (v7 = 0) &
% 250.68/42.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6,
% 250.68/42.85 | v3) = v7 & c_RealVector_Onorm__class_Onorm(v2, v5) = v6
% 250.68/42.85 | & hAPP(v1, v4) = v5 & $i(v6) & $i(v5) & $i(v4)))) & ( ?
% 250.68/42.85 | [v3: $i] : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.68/42.85 | v0, v3) = 0 & $i(v3) & ! [v4: $i] : ! [v5: $i] : !
% 250.68/42.85 | [v6: $i] : ! [v7: int] : (v7 = 0 | ~
% 250.68/42.85 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6,
% 250.68/42.85 | v3) = v7) | ~ (c_RealVector_Onorm__class_Onorm(v2,
% 250.68/42.85 | v5) = v6) | ~ (hAPP(v1, v4) = v5) | ~ $i(v4))) | !
% 250.68/42.85 | [v3: $i] : ! [v4: $i] : ( ~ (c_Nat_OSuc(v3) = v4) | ~
% 250.68/42.85 | $i(v3) | ? [v5: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v4) =
% 250.68/42.85 | v5 & $i(v5) & ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 250.68/42.85 | ? [v9: int] : ( ~ (v9 = 0) &
% 250.68/42.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v8,
% 250.68/42.85 | v5) = v9 & c_RealVector_Onorm__class_Onorm(v2, v7) =
% 250.68/42.85 | v8 & hAPP(v1, v6) = v7 & $i(v8) & $i(v7) &
% 250.68/42.85 | $i(v6))))))))
% 250.68/42.85 |
% 250.68/42.85 | ALPHA: (fact_lemma__NBseq__def2) implies:
% 250.68/42.85 | (116) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.68/42.85 | $i(v0) & ? [v1: $i] : ! [v2: $i] : ( ~
% 250.68/42.85 | (class_RealVector_Oreal__normed__vector(v2) = 0) | ~ $i(v2) | ~
% 250.68/42.85 | $i(v1) | (( ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 250.68/42.85 | (c_Nat_OSuc(v3) = v4 & c_RealDef_Oreal(tc_Nat_Onat, v4) = v5
% 250.68/42.85 | & $i(v5) & $i(v4) & $i(v3) & ! [v6: $i] : ! [v7: $i] : !
% 250.68/42.85 | [v8: $i] : ! [v9: int] : (v9 = 0 | ~
% 250.68/42.85 | (c_RealVector_Onorm__class_Onorm(v2, v7) = v8) | ~
% 250.68/42.85 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v5)
% 250.68/42.85 | = v9) | ~ (hAPP(v1, v6) = v7) | ~ $i(v6))) | ! [v3:
% 250.68/42.85 | $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.68/42.85 | v0, v3) = 0) | ~ $i(v3) | ? [v4: $i] : ? [v5: $i] :
% 250.68/42.85 | ? [v6: $i] : ? [v7: int] : ( ~ (v7 = 0) &
% 250.68/42.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6,
% 250.68/42.85 | v3) = v7 & c_RealVector_Onorm__class_Onorm(v2, v5) = v6
% 250.68/42.85 | & hAPP(v1, v4) = v5 & $i(v6) & $i(v5) & $i(v4)))) & ( ?
% 250.68/42.85 | [v3: $i] : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.68/42.85 | v0, v3) = 0 & $i(v3) & ! [v4: $i] : ! [v5: $i] : !
% 250.68/42.85 | [v6: $i] : ! [v7: int] : (v7 = 0 | ~
% 250.68/42.85 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6,
% 250.68/42.85 | v3) = v7) | ~ (c_RealVector_Onorm__class_Onorm(v2,
% 250.68/42.85 | v5) = v6) | ~ (hAPP(v1, v4) = v5) | ~ $i(v4))) | !
% 250.68/42.85 | [v3: $i] : ! [v4: $i] : ( ~ (c_Nat_OSuc(v3) = v4) | ~
% 250.68/42.85 | $i(v3) | ? [v5: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v4) =
% 250.68/42.85 | v5 & $i(v5) & ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 250.68/42.85 | ? [v9: int] : ( ~ (v9 = 0) &
% 250.68/42.85 | c_RealVector_Onorm__class_Onorm(v2, v7) = v8 &
% 250.68/42.85 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v5)
% 250.68/42.85 | = v9 & hAPP(v1, v6) = v7 & $i(v8) & $i(v7) &
% 250.68/42.85 | $i(v6))))))))
% 250.68/42.85 |
% 250.68/42.85 | ALPHA: (fact_number__of1) implies:
% 250.68/42.85 | (117) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 250.68/42.85 | & ! [v1: $i] : ! [v2: $i] : ( ~
% 250.68/42.85 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~
% 250.68/42.85 | $i(v1) | ? [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: any]
% 250.68/42.85 | : ? [v7: $i] : ? [v8: $i] : ? [v9: any] :
% 250.68/42.85 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v8) = v9 &
% 250.68/42.85 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v5) = v6 &
% 250.68/42.85 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) = v3 &
% 250.68/42.85 | c_Int_OBit1(v1) = v7 & c_Int_OBit0(v1) = v4 &
% 250.68/42.85 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v7) = v8 &
% 250.68/42.85 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v4) = v5 & $i(v8)
% 250.68/42.85 | & $i(v7) & $i(v5) & $i(v4) & ( ~ (v3 = 0) | (v9 = 0 & v6 =
% 250.68/42.85 | 0)))))
% 250.68/42.85 |
% 250.68/42.85 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J)
% 250.68/42.85 | implies:
% 250.68/42.85 | (118) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 250.68/42.85 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3) = 0 &
% 250.68/42.85 | c_Int_OBit1(v1) = v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 250.68/42.85 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 &
% 250.68/42.85 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v3) & $i(v2) &
% 250.68/42.85 | $i(v1) & $i(v0))
% 250.68/42.85 |
% 250.68/42.85 | ALPHA: (fact_wr) implies:
% 250.68/42.85 | (119) $i(v_w____)
% 250.68/42.85 | (120) ? [v0: $i] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 250.68/42.85 | v0, v_r) = 0 &
% 250.68/42.85 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v0
% 250.68/42.85 | & $i(v0))
% 250.68/42.85 |
% 250.68/42.85 | 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)
% 250.68/42.85 | implies:
% 250.68/42.85 | (121) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.68/42.85 | ? [v5: $i] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 250.68/42.85 | v1, v_r) = 0 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 250.68/42.85 | v0 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v2 &
% 250.68/42.85 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v5) = v4 &
% 250.68/42.85 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v4) = v5 &
% 250.68/42.85 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 250.68/42.85 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v1 &
% 250.68/42.85 | hAPP(v2, v0) = v3 & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 250.68/42.85 | $i(v0))
% 250.68/42.85 |
% 250.68/42.85 | ALPHA: (fact_s1m) implies:
% 250.68/42.85 | (122) ? [v0: $i] : ? [v1: $i] : (c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 250.68/42.85 | v_p) = v1 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 250.68/42.85 | v_s____) = v0 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~
% 250.68/42.85 | (hAPP(v1, v2) = v3) | ~ $i(v2) | ? [v4: $i] : ? [v5: any] : ?
% 250.68/42.85 | [v6: $i] : ? [v7: any] :
% 250.68/42.85 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v_r) =
% 250.68/42.85 | v5 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 250.68/42.85 | v6) = v7 &
% 250.68/42.85 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v6 &
% 250.68/42.85 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v4 &
% 250.68/42.85 | $i(v6) & $i(v4) & ( ~ (v5 = 0) | v7 = 0))))
% 250.68/42.85 |
% 250.68/42.86 | 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)
% 250.68/42.86 | implies:
% 250.68/42.86 | (123) ? [v0: $i] : ? [v1: $i] :
% 250.68/42.86 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 250.68/42.86 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 & $i(v1) & $i(v0)
% 250.68/42.86 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: int] : (v5 = 0
% 250.68/42.86 | | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v1) =
% 250.68/42.86 | v5) | ~ (hAPP(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ? [v6:
% 250.68/42.86 | $i] : ? [v7: any] : ? [v8: $i] : ? [v9: $i] :
% 250.68/42.86 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v_r) =
% 250.68/42.86 | v7 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v9
% 250.68/42.86 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v8
% 250.68/42.86 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v6
% 250.68/42.86 | & $i(v9) & $i(v8) & $i(v6) & ( ~ (v9 = v8) | ~ (v7 = 0)))))
% 250.68/42.86 |
% 250.68/42.86 | ALPHA: (fact_s) implies:
% 250.68/42.86 | (124) ? [v0: $i] : (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 &
% 250.68/42.86 | $i(v0) & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 250.68/42.86 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v_s____) =
% 250.68/42.86 | v2) | ~ $i(v1) | ! [v3: $i] : ! [v4: $i] : ( ~
% 250.68/42.86 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v4) |
% 250.68/42.86 | ~ $i(v3) | ? [v5: int] : ( ~ (v5 = 0) &
% 250.68/42.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v3) = v5)
% 250.68/42.86 | | ! [v5: $i] : ! [v6: $i] : ( ~ (hAPP(v0, v5) = v6) | ~
% 250.68/42.86 | $i(v5) | ? [v7: $i] : ? [v8: any] : ? [v9: $i] :
% 250.68/42.86 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7, v_r)
% 250.68/42.86 | = v8 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 250.68/42.86 | v6) = v9 &
% 250.68/42.86 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) =
% 250.68/42.86 | v7 & $i(v9) & $i(v7) & ( ~ (v9 = v4) | ~ (v8 = 0)))))) &
% 250.68/42.86 | ! [v1: $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.68/42.86 | v1, v_s____) = 0) | ~ $i(v1) | ? [v2: $i] : ? [v3: $i] :
% 250.68/42.86 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3 &
% 250.68/42.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) = 0 &
% 250.68/42.86 | $i(v3) & $i(v2) & ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 250.68/42.86 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v_r) =
% 250.68/42.86 | 0 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6)
% 250.68/42.86 | = v3 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 250.68/42.86 | v4) = v5 & hAPP(v0, v4) = v6 & $i(v6) & $i(v5) & $i(v4)))))
% 250.68/42.86 |
% 250.68/42.86 | ALPHA: (fact_real__le__antisym) implies:
% 250.68/42.86 | (125) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 250.68/42.86 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) = 0) |
% 250.68/42.86 | ~ $i(v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 250.68/42.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) =
% 250.68/42.86 | v2))
% 250.68/42.86 |
% 250.68/42.86 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J)
% 250.68/42.86 | implies:
% 250.68/42.86 | (126) ? [v0: $i] : (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v0)
% 250.68/42.86 | = 0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0))
% 250.68/42.86 |
% 250.68/42.86 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J)
% 250.68/42.86 | implies:
% 250.68/42.86 | (127) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) =
% 250.68/42.86 | v1 & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) = 0 &
% 250.68/42.86 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0))
% 250.68/42.86 |
% 250.68/42.86 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J)
% 250.68/42.86 | implies:
% 250.68/42.86 | (128) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 250.68/42.86 | & ! [v1: $i] : ! [v2: $i] : ( ~
% 250.68/42.86 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) = 0) | ~
% 250.68/42.86 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) = 0) | ~
% 250.68/42.86 | $i(v2) | ~ $i(v1) | ? [v3: $i] :
% 250.68/42.86 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v3 &
% 250.68/42.86 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3) = 0 &
% 250.68/42.86 | $i(v3))))
% 250.68/42.86 |
% 250.68/42.86 | ALPHA: (fact_number__of2) implies:
% 250.68/42.86 | (129) ? [v0: $i] : ? [v1: $i] :
% 250.68/42.86 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) = 0 &
% 250.68/42.86 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) = v1 &
% 250.68/42.86 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0))
% 250.68/42.86 |
% 250.68/42.86 | 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)
% 250.68/42.86 | implies:
% 250.68/42.86 | (130) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 250.68/42.86 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v2 &
% 250.68/42.86 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 &
% 250.68/42.86 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v1 &
% 250.68/42.86 | $i(v2) & $i(v1) & $i(v0) & ? [v3: $i] : ($i(v3) & ! [v4: $i] : !
% 250.68/42.86 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i]
% 250.68/42.86 | : ! [v10: $i] : ! [v11: $i] : ! [v12: int] : (v12 = 0 | ~
% 250.68/42.86 | (c_Nat_OSuc(v4) = v8) | ~ (c_RealDef_Oreal(tc_Nat_Onat, v8) =
% 250.68/42.86 | v9) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1,
% 250.68/42.86 | v10) = v11) | ~
% 250.68/42.86 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v9) =
% 250.68/42.86 | v10) | ~
% 250.68/42.86 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = v7)
% 250.68/42.86 | | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v11)
% 250.68/42.86 | = v12) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v0, v5) = v6) | ~
% 250.68/42.86 | $i(v4)) & ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v3, v4) = v5) |
% 250.68/42.86 | ~ $i(v4) | ? [v6: $i] :
% 250.68/42.86 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v_r) =
% 250.68/42.86 | 0 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5)
% 250.68/42.86 | = v6 & $i(v6)))))
% 250.68/42.86 |
% 250.68/42.86 | ALPHA: (fact_th) implies:
% 250.68/42.86 | (131) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 250.68/42.86 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v2 &
% 250.68/42.86 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 &
% 250.68/42.86 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v1 &
% 250.68/42.86 | $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 250.68/42.86 | (c_Nat_OSuc(v3) = v4) | ~ $i(v3) | ? [v5: $i] : ? [v6: $i] :
% 250.68/42.86 | ? [v7: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v4) = v5 &
% 250.68/42.86 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v6) = v7 &
% 250.68/42.86 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v5) = v6
% 250.68/42.86 | & $i(v7) & $i(v6) & $i(v5) & ? [v8: $i] : ? [v9: $i] : ?
% 250.68/42.86 | [v10: $i] : ? [v11: $i] :
% 250.68/42.86 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9, v_r) =
% 250.68/42.86 | 0 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v10)
% 250.68/42.86 | = v11 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 250.68/42.86 | v8) = v9 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.68/42.86 | v11, v7) = 0 & hAPP(v0, v8) = v10 & $i(v11) & $i(v10) &
% 250.68/42.86 | $i(v9) & $i(v8)))))
% 250.68/42.86 |
% 250.68/42.86 | 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)
% 250.68/42.86 | implies:
% 250.68/42.86 | (132) ? [v0: $i] : ? [v1: $i] : (c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 250.68/42.86 | v_p) = v0 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 250.68/42.86 | v_s____) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: int] :
% 250.68/42.86 | (v3 = 0 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 250.68/42.86 | v2) = v3) | ~ $i(v2) | ! [v4: $i] : ! [v5: $i] : ! [v6:
% 250.68/42.86 | $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 250.68/42.86 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v7) = v8) |
% 250.68/42.86 | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v6) = v7)
% 250.68/42.86 | | ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5)
% 250.68/42.86 | = v6) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.68/42.86 | v8, v2) = 0) | ~ (hAPP(v0, v4) = v5) | ~ $i(v4) | ? [v9:
% 250.68/42.86 | $i] : ? [v10: int] : ( ~ (v10 = 0) &
% 250.68/42.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9, v_r)
% 250.68/42.86 | = v10 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 250.68/42.86 | v4) = v9 & $i(v9)))) & ! [v2: $i] : ( ~
% 250.68/42.86 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) = 0) |
% 250.68/42.86 | ~ $i(v2) | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i]
% 250.68/42.86 | : ? [v7: $i] : ? [v8: $i] :
% 250.68/42.86 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v_r) = 0
% 250.68/42.86 | & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v7) = v8 &
% 250.68/42.86 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v6) = v7 &
% 250.68/42.86 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6 &
% 250.68/42.86 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 250.68/42.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v2) = 0 &
% 250.68/42.86 | hAPP(v0, v3) = v5 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4)
% 250.68/42.86 | & $i(v3))))
% 250.68/42.86 |
% 250.68/42.86 | ALPHA: (fact_s1) implies:
% 250.68/42.86 | (133) ? [v0: $i] : ? [v1: $i] : (c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 250.68/42.86 | v_p) = v0 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 250.68/42.86 | v_s____) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: int] :
% 250.68/42.86 | (v3 = 0 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 250.68/42.86 | v2) = v3) | ~ $i(v2) | ! [v4: $i] : ! [v5: $i] : ! [v6:
% 250.68/42.86 | $i] : ( ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 250.68/42.86 | v5) = v6) | ~
% 250.68/42.86 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v2) = 0) |
% 250.68/42.86 | ~ (hAPP(v0, v4) = v5) | ~ $i(v4) | ? [v7: $i] : ? [v8: int]
% 250.68/42.86 | : ( ~ (v8 = 0) &
% 250.68/42.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7, v_r)
% 250.68/42.86 | = v8 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 250.68/42.86 | v4) = v7 & $i(v7)))) & ! [v2: $i] : ( ~
% 250.68/42.86 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) = 0) |
% 250.68/42.86 | ~ $i(v2) | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i]
% 250.68/42.86 | : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v_r) =
% 250.68/42.86 | 0 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) =
% 250.68/42.86 | v6 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) =
% 250.68/42.86 | v4 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v2) =
% 250.68/42.86 | 0 & hAPP(v0, v3) = v5 & $i(v6) & $i(v5) & $i(v4) & $i(v3))))
% 250.68/42.86 |
% 250.68/42.86 | 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)
% 250.68/42.86 | implies:
% 250.68/42.86 | (134) ? [v0: $i] : ? [v1: $i] : ? [v2: any] :
% 250.68/42.86 | (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 &
% 250.68/42.86 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v1 &
% 250.68/42.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v1) = v2 &
% 250.68/42.86 | $i(v1) & $i(v0) & ((v2 = 0 & ? [v3: $i] : ? [v4: $i] : ? [v5:
% 250.68/42.86 | $i] : ? [v6: $i] :
% 250.68/42.86 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v_r) =
% 250.68/42.86 | 0 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5)
% 250.68/42.86 | = v6 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 250.68/42.86 | v3) = v4 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.68/42.86 | v6, v1) = 0 & hAPP(v0, v3) = v5 & $i(v6) & $i(v5) & $i(v4)
% 250.68/42.86 | & $i(v3))) | ( ~ (v2 = 0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 250.68/42.86 | (hAPP(v0, v3) = v4) | ~ $i(v3) | ? [v5: $i] : ? [v6: any]
% 250.68/42.86 | : ? [v7: $i] : ? [v8: any] :
% 250.68/42.86 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v_r)
% 250.68/42.86 | = v6 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 250.68/42.86 | v4) = v7 &
% 250.68/42.86 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) =
% 250.68/42.86 | v5 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7,
% 250.68/42.86 | v1) = v8 & $i(v7) & $i(v5) & ( ~ (v8 = 0) | ~ (v6 =
% 250.68/42.86 | 0)))))))
% 250.68/42.86 |
% 250.68/42.86 | ALPHA: (fact_mth2) implies:
% 250.68/42.86 | (135) ? [v0: $i] : (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 &
% 250.68/42.86 | $i(v0) & ? [v1: $i] : ($i(v1) & ! [v2: $i] : ! [v3: $i] : ( ~
% 250.68/42.86 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3) |
% 250.68/42.86 | ~ $i(v2) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2,
% 250.68/42.86 | v1) = 0 | ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v0, v4) = v5)
% 250.68/42.86 | | ~ $i(v4) | ? [v6: $i] : ? [v7: any] : ? [v8: $i] :
% 250.68/42.86 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v_r)
% 250.68/42.86 | = v7 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 250.68/42.86 | v5) = v8 &
% 250.68/42.86 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) =
% 250.68/42.86 | v6 & $i(v8) & $i(v6) & ( ~ (v8 = v3) | ~ (v7 = 0)))))))
% 250.68/42.86 |
% 250.68/42.86 | ALPHA: (fact_calculation) implies:
% 250.68/42.86 | (136) ? [v0: $i] : ? [v1: any] : ? [v2: $i] :
% 250.68/42.86 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v_r) = v1 &
% 250.68/42.86 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.68/42.86 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v2 & $i(v2) & $i(v0)
% 250.68/42.86 | & (v1 = 0 | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 250.68/42.86 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 &
% 250.68/42.86 | hAPP(v2, v3) = v4 & $i(v5) & $i(v4) & $i(v3) & ! [v6: $i] : !
% 250.68/42.86 | [v7: $i] : ! [v8: $i] : ! [v9: int] : (v9 = 0 | ~
% 250.68/42.86 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v8)
% 250.68/42.86 | = v9) | ~
% 250.68/42.86 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v7) =
% 250.68/42.86 | v8) | ~ (hAPP(v2, v6) = v7) | ~ $i(v6) | ? [v10: $i] :
% 250.68/42.86 | ? [v11: int] : ( ~ (v11 = 0) &
% 250.68/42.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10,
% 250.68/42.86 | v_r) = v11 &
% 250.68/42.86 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) =
% 250.68/42.86 | v10 & $i(v10))))))
% 250.68/42.86 |
% 250.68/42.86 | ALPHA: (fact_eq__special_I2_J) implies:
% 250.68/42.86 | (137) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 250.68/42.86 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: any]
% 250.68/42.86 | : ( ~ (c_Int_Oiszero(v2, v5) = v6) | ~
% 250.68/42.86 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v3) = v4) | ~
% 250.68/42.86 | (c_Int_Onumber__class_Onumber__of(v2, v4) = v5) | ~
% 250.68/42.86 | (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v3) | ~
% 250.68/42.86 | $i(v2) | ~ $i(v1) | ? [v7: any] : ? [v8: $i] : ? [v9: $i] :
% 250.68/42.86 | (c_Groups_Oone__class_Oone(v2) = v8 & class_Int_Onumber__ring(v2)
% 250.68/42.86 | = v7 & c_Int_Onumber__class_Onumber__of(v2, v1) = v9 & $i(v9) &
% 250.68/42.86 | $i(v8) & ( ~ (v7 = 0) | (( ~ (v9 = v8) | v6 = 0) & ( ~ (v6 = 0)
% 250.68/42.86 | | v9 = v8))))))
% 250.68/42.86 |
% 250.68/42.86 | ALPHA: (fact_eq__special_I4_J) implies:
% 250.68/42.86 | (138) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 250.68/42.86 | c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v1 & $i(v1) &
% 250.68/42.86 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 250.68/42.86 | [v6: any] : ( ~ (c_Int_Oiszero(v3, v5) = v6) | ~
% 250.68/42.86 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v4) | ~
% 250.68/42.86 | (c_Int_Onumber__class_Onumber__of(v3, v4) = v5) | ~ $i(v3) | ~
% 250.68/42.86 | $i(v2) | ? [v7: any] : ? [v8: $i] : ? [v9: $i] :
% 250.68/42.86 | (c_Groups_Oone__class_Oone(v3) = v9 & class_Int_Onumber__ring(v3)
% 250.68/42.86 | = v7 & c_Int_Onumber__class_Onumber__of(v3, v2) = v8 & $i(v9) &
% 250.68/42.86 | $i(v8) & ( ~ (v7 = 0) | (( ~ (v9 = v8) | v6 = 0) & ( ~ (v6 = 0)
% 250.68/42.86 | | v9 = v8))))))
% 250.68/42.86 |
% 250.68/42.86 | ALPHA: (fact_arctan__lbound) implies:
% 250.68/42.86 | (139) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.68/42.86 | (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 250.68/42.86 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 250.68/42.86 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.68/42.86 | c_Transcendental_Opi, v2) = v3 &
% 250.68/42.86 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v4 & $i(v4)
% 250.68/42.86 | & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : (
% 250.68/42.86 | ~ (c_Transcendental_Oarctan(v5) = v6) | ~ $i(v5) |
% 250.68/42.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6) = 0))
% 250.68/42.86 |
% 250.68/42.86 | ALPHA: (fact_arctan__zero__zero) implies:
% 250.68/42.86 | (140) ? [v0: $i] : (c_Transcendental_Oarctan(v0) = v0 &
% 250.68/42.86 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0))
% 250.68/42.86 |
% 250.68/42.86 | ALPHA: (fact_not__iszero__Numeral1) implies:
% 250.68/42.86 | (141) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 250.68/42.86 | ! [v2: $i] : ( ~ (c_Int_Oiszero(v1, v2) = 0) | ~
% 250.68/42.86 | (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ $i(v1) | ?
% 250.68/42.86 | [v3: int] : ( ~ (v3 = 0) & class_Int_Onumber__ring(v1) = v3)))
% 250.68/42.86 |
% 250.68/42.86 | ALPHA: (fact_arctan__ubound) implies:
% 250.68/42.86 | (142) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 250.68/42.86 | (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 250.68/42.86 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 250.68/42.86 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.68/42.86 | c_Transcendental_Opi, v2) = v3 & $i(v3) & $i(v2) & $i(v1) &
% 250.68/42.86 | $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~
% 250.68/42.86 | (c_Transcendental_Oarctan(v4) = v5) | ~ $i(v4) |
% 250.68/42.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v3) = 0))
% 250.68/42.86 |
% 250.68/42.86 | ALPHA: (fact_arctan1__eq__pi4) implies:
% 250.68/42.86 | (143) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.68/42.86 | ? [v5: $i] : (c_Transcendental_Oarctan(v0) = v1 &
% 250.68/42.86 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 250.68/42.86 | c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v3) = v4 &
% 250.68/42.86 | c_Int_OBit0(v2) = v3 &
% 250.68/42.86 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v4) = v5 &
% 250.68/42.86 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.68/42.86 | c_Transcendental_Opi, v5) = v1 & $i(v5) & $i(v4) & $i(v3) &
% 250.68/42.86 | $i(v2) & $i(v1) & $i(v0))
% 250.68/42.86 |
% 250.68/42.86 | ALPHA: (fact_arctan__bounded) implies:
% 250.68/42.86 | (144) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.68/42.86 | (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 250.68/42.86 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 250.68/42.86 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.68/42.86 | c_Transcendental_Opi, v2) = v3 &
% 250.68/42.86 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v4 & $i(v4)
% 250.68/42.86 | & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : (
% 250.68/42.86 | ~ (c_Transcendental_Oarctan(v5) = v6) | ~ $i(v5) |
% 250.68/42.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v3) = 0) & !
% 250.68/42.86 | [v5: $i] : ! [v6: $i] : ( ~ (c_Transcendental_Oarctan(v5) = v6) |
% 250.68/42.86 | ~ $i(v5) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4,
% 250.68/42.86 | v6) = 0))
% 250.68/42.86 |
% 250.68/42.86 | ALPHA: (fact_arctan__tan) implies:
% 250.68/42.86 | (145) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.68/42.86 | (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 250.68/42.86 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 250.68/42.86 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.68/42.86 | c_Transcendental_Opi, v2) = v3 &
% 250.68/42.86 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v4 & $i(v4)
% 250.68/42.86 | & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ( ~
% 250.68/42.86 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v5) = 0) |
% 250.68/42.86 | ~ $i(v5) | ? [v6: any] : ? [v7: $i] : ? [v8: $i] :
% 250.68/42.86 | (c_Transcendental_Otan(v5) = v7 & c_Transcendental_Oarctan(v7) =
% 250.68/42.86 | v8 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v3) =
% 250.68/42.86 | v6 & $i(v8) & $i(v7) & ( ~ (v6 = 0) | v8 = v5))))
% 250.68/42.86 |
% 250.68/42.87 | ALPHA: (fact_arctan) implies:
% 250.68/42.87 | (146) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.68/42.87 | (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 250.68/42.87 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 250.68/42.87 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.68/42.87 | c_Transcendental_Opi, v2) = v3 &
% 250.68/42.87 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v4 & $i(v4)
% 250.68/42.87 | & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : (
% 250.68/42.87 | ~ (c_Transcendental_Oarctan(v5) = v6) | ~ $i(v5) |
% 250.68/42.87 | c_Transcendental_Otan(v6) = v5) & ! [v5: $i] : ! [v6: $i] : ( ~
% 250.68/42.87 | (c_Transcendental_Oarctan(v5) = v6) | ~ $i(v5) |
% 250.68/42.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v3) = 0) & !
% 250.68/42.87 | [v5: $i] : ! [v6: $i] : ( ~ (c_Transcendental_Oarctan(v5) = v6) |
% 250.68/42.87 | ~ $i(v5) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4,
% 250.68/42.87 | v6) = 0))
% 250.68/42.87 |
% 250.68/42.87 | ALPHA: (fact_tan__less__zero) implies:
% 250.68/42.87 | (147) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.68/42.87 | ? [v5: $i] : (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 250.68/42.87 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 250.68/42.87 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, v3) = v4 &
% 250.68/42.87 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v5 &
% 250.68/42.87 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 250.68/42.87 | c_Transcendental_Opi) = v0 & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 250.68/42.87 | $i(v1) & $i(v0) & ! [v6: $i] : ( ~
% 250.68/42.87 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6) = 0) |
% 250.68/42.87 | ~ $i(v6) | ? [v7: any] : ? [v8: $i] : ? [v9: any] :
% 250.68/42.87 | (c_Transcendental_Otan(v6) = v8 &
% 250.68/42.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v5) = v9 &
% 250.68/42.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v5) = v7 &
% 250.68/42.87 | $i(v8) & ( ~ (v7 = 0) | v9 = 0))))
% 250.68/42.87 |
% 250.68/42.87 | ALPHA: (fact_tan__zero) implies:
% 250.68/42.87 | (148) ? [v0: $i] : (c_Transcendental_Otan(v0) = v0 &
% 250.68/42.87 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0))
% 250.68/42.87 |
% 250.68/42.87 | ALPHA: (fact_tan__pi) implies:
% 250.68/42.87 | (149) ? [v0: $i] : (c_Transcendental_Otan(c_Transcendental_Opi) = v0 &
% 250.68/42.87 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0))
% 250.68/42.87 |
% 250.68/42.87 | ALPHA: (fact_tan__45) implies:
% 250.68/42.87 | (150) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.68/42.87 | ? [v5: $i] : (c_Transcendental_Otan(v4) = v5 &
% 250.68/42.87 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v5 &
% 250.68/42.87 | c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v1) = v2 &
% 250.68/42.87 | c_Int_OBit0(v0) = v1 &
% 250.68/42.87 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 250.68/42.87 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.68/42.87 | c_Transcendental_Opi, v3) = v4 & $i(v5) & $i(v4) & $i(v3) &
% 250.68/42.87 | $i(v2) & $i(v1) & $i(v0))
% 250.68/42.87 |
% 250.68/42.87 | ALPHA: (fact_tan__gt__zero) implies:
% 250.68/42.87 | (151) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.68/42.87 | (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 250.68/42.87 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 250.68/42.87 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.68/42.87 | c_Transcendental_Opi, v3) = v4 &
% 250.68/42.87 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v4) &
% 250.68/42.87 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ( ~
% 250.68/42.87 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v4) = 0) |
% 250.68/42.87 | ~ $i(v5) | ? [v6: any] : ? [v7: $i] : ? [v8: any] :
% 250.68/42.87 | (c_Transcendental_Otan(v5) = v7 &
% 250.68/42.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v7) = v8 &
% 250.68/42.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5) = v6 &
% 250.68/42.87 | $i(v7) & ( ~ (v6 = 0) | v8 = 0))))
% 250.68/42.87 |
% 250.68/42.87 | ALPHA: (fact_tan__monotone) implies:
% 250.68/42.87 | (152) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.68/42.87 | (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 250.68/42.87 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 250.68/42.87 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.68/42.87 | c_Transcendental_Opi, v2) = v3 &
% 250.68/42.87 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v4 & $i(v4)
% 250.68/42.87 | & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : (
% 250.68/42.87 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v3) = 0) |
% 250.68/42.87 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6) = 0)
% 250.68/42.87 | | ~ $i(v6) | ~ $i(v5) | ? [v7: any] : ? [v8: $i] : ? [v9:
% 250.68/42.87 | $i] : ? [v10: any] : (c_Transcendental_Otan(v6) = v8 &
% 250.68/42.87 | c_Transcendental_Otan(v5) = v9 &
% 250.68/42.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v9) = v10 &
% 250.68/42.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v5) = v7 &
% 250.68/42.87 | $i(v9) & $i(v8) & ( ~ (v7 = 0) | v10 = 0))))
% 250.68/42.87 |
% 250.68/42.87 | ALPHA: (fact_tan__monotone_H) implies:
% 250.68/42.87 | (153) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.68/42.87 | (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 250.68/42.87 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 250.68/42.87 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.68/42.87 | c_Transcendental_Opi, v2) = v3 &
% 250.68/42.87 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v4 & $i(v4)
% 250.68/42.87 | & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : (
% 250.68/42.87 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6) = 0) |
% 250.68/42.87 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v5) = 0)
% 250.68/42.87 | | ~ $i(v6) | ~ $i(v5) | ? [v7: any] : ? [v8: any] : ? [v9:
% 250.68/42.87 | any] : ? [v10: $i] : ? [v11: $i] : ? [v12: any] :
% 250.68/42.87 | (c_Transcendental_Otan(v6) = v10 & c_Transcendental_Otan(v5) =
% 250.68/42.87 | v11 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v11)
% 250.68/42.87 | = v12 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v5)
% 250.68/42.87 | = v9 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v3)
% 250.68/42.87 | = v7 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v3)
% 250.68/42.87 | = v8 & $i(v11) & $i(v10) & ( ~ (v8 = 0) | ~ (v7 = 0) | (( ~
% 250.68/42.87 | (v12 = 0) | v9 = 0) & ( ~ (v9 = 0) | v12 = 0))))))
% 250.68/42.87 |
% 250.68/42.87 | ALPHA: (fact_tan__inverse) implies:
% 250.68/42.87 | (154) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.68/42.87 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 250.68/42.87 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 250.68/42.87 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 250.68/42.87 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.68/42.87 | c_Transcendental_Opi, v3) = v4 & $i(v4) & $i(v3) & $i(v2) &
% 250.68/42.87 | $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ( ~
% 250.68/42.87 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v4, v5) = v6) |
% 250.68/42.87 | ~ $i(v5) | ? [v7: $i] : ? [v8: $i] : (c_Transcendental_Otan(v6)
% 250.68/42.87 | = v8 & c_Transcendental_Otan(v5) = v7 &
% 250.68/42.87 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, v7) = v8
% 250.68/42.87 | & $i(v8) & $i(v7))))
% 250.68/42.87 |
% 250.68/42.87 | ALPHA: (fact_tan__total__pi4) implies:
% 250.68/42.87 | (155) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.68/42.87 | ? [v5: $i] : ? [v6: $i] :
% 250.68/42.87 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 250.68/42.87 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v2) = v3 &
% 250.68/42.87 | c_Int_OBit0(v1) = v2 &
% 250.68/42.87 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v3) = v4 &
% 250.68/42.87 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.68/42.87 | c_Transcendental_Opi, v4) = v5 &
% 250.68/42.87 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v5) = v6 & $i(v6)
% 250.68/42.87 | & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v7: $i]
% 250.68/42.87 | : ! [v8: $i] : ( ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,
% 250.68/42.87 | v7) = v8) | ~ $i(v7) | ? [v9: int] : ( ~ (v9 = 0) &
% 250.68/42.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v0) = v9) |
% 250.68/42.87 | ? [v9: $i] : (c_Transcendental_Otan(v9) = v7 &
% 250.68/42.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v5) = 0 &
% 250.68/42.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v9) = 0 &
% 250.68/42.87 | $i(v9))))
% 250.68/42.87 |
% 250.68/42.87 | ALPHA: (fact_tan__total__pos) implies:
% 250.68/42.87 | (156) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.68/42.87 | (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 250.68/42.87 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 250.68/42.87 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.68/42.87 | c_Transcendental_Opi, v3) = v4 &
% 250.68/42.87 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v4) &
% 250.68/42.87 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ( ~
% 250.68/42.87 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v5) = 0)
% 250.68/42.87 | | ~ $i(v5) | ? [v6: $i] : (c_Transcendental_Otan(v6) = v5 &
% 250.68/42.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v6) = 0
% 250.68/42.87 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v4) = 0 &
% 250.68/42.87 | $i(v6))))
% 250.68/42.87 |
% 250.68/42.87 | ALPHA: (fact_lemma__tan__total1) implies:
% 250.68/42.87 | (157) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.68/42.87 | (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 250.68/42.87 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 250.68/42.87 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.68/42.87 | c_Transcendental_Opi, v2) = v3 &
% 250.68/42.87 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v4 & $i(v4)
% 250.68/42.87 | & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ? [v5: $i] : ( ~ $i(v5) | ?
% 250.68/42.87 | [v6: $i] : (c_Transcendental_Otan(v6) = v5 &
% 250.68/42.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v3) = 0 &
% 250.68/42.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6) = 0 &
% 250.68/42.87 | $i(v6))))
% 250.68/42.87 |
% 250.68/42.87 | ALPHA: (fact_tan__total) implies:
% 250.68/42.87 | (158) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.68/42.87 | (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 250.68/42.87 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 250.68/42.87 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.68/42.87 | c_Transcendental_Opi, v2) = v3 &
% 250.68/42.87 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v4 & $i(v4)
% 250.68/42.87 | & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ? [v5: $i] : ( ~ $i(v5) | ?
% 250.68/42.87 | [v6: $i] : (c_Transcendental_Otan(v6) = v5 &
% 250.68/42.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v3) = 0 &
% 250.68/42.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6) = 0 &
% 250.68/42.87 | $i(v6) & ! [v7: $i] : (v7 = v6 | ~
% 250.68/42.87 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v7) = 0)
% 250.68/42.87 | | ~ $i(v7) | ? [v8: any] : ? [v9: $i] :
% 250.68/42.87 | (c_Transcendental_Otan(v7) = v9 &
% 250.68/42.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v3) =
% 250.68/42.87 | v8 & $i(v9) & ( ~ (v9 = v5) | ~ (v8 = 0)))))))
% 250.68/42.87 |
% 250.68/42.87 | ALPHA: (fact_lemma__tan__total) implies:
% 250.68/42.87 | (159) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.68/42.87 | (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 250.68/42.87 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 250.68/42.87 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.68/42.87 | c_Transcendental_Opi, v3) = v4 &
% 250.68/42.87 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v4) &
% 250.68/42.87 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ( ~
% 250.68/42.87 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5) = 0) |
% 250.68/42.87 | ~ $i(v5) | ? [v6: $i] : ? [v7: $i] : (c_Transcendental_Otan(v6)
% 250.68/42.87 | = v7 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v4)
% 250.68/42.87 | = 0 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v7) =
% 250.68/42.87 | 0 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v6) = 0
% 250.68/42.87 | & $i(v7) & $i(v6))))
% 250.68/42.87 |
% 250.68/42.87 | ALPHA: (fact_machin) implies:
% 250.68/42.87 | (160) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.68/42.87 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 250.68/42.87 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 250.68/42.87 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] :
% 250.68/42.87 | ? [v19: $i] : ? [v20: $i] :
% 250.68/42.87 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v9) = v10 &
% 250.68/42.87 | c_Transcendental_Oarctan(v19) = v20 & c_Transcendental_Oarctan(v8)
% 250.68/42.87 | = v9 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v5 &
% 250.68/42.87 | c_Int_OBit1(v16) = v17 & c_Int_OBit1(v15) = v16 & c_Int_OBit1(v14)
% 250.68/42.87 | = v15 & c_Int_OBit1(v13) = v14 & c_Int_OBit1(v11) = v12 &
% 250.68/42.87 | c_Int_OBit1(v1) = v6 & c_Int_OBit1(v0) = v11 &
% 250.68/42.87 | c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v12) = v13 &
% 250.68/42.87 | c_Int_OBit0(v1) = v2 & c_Int_OBit0(v0) = v1 &
% 250.68/42.87 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v17) = v18 &
% 250.68/42.87 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v6) = v7 &
% 250.68/42.87 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 250.68/42.87 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v18) = v19 &
% 250.68/42.87 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v7) = v8 &
% 250.68/42.87 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.68/42.87 | c_Transcendental_Opi, v3) = v4 &
% 250.68/42.87 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v10, v20) = v4 &
% 250.68/42.87 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14)
% 250.68/42.87 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7)
% 250.68/42.87 | & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 250.68/42.87 |
% 250.68/42.87 | ALPHA: (fact_not__real__square__gt__zero) implies:
% 250.68/42.87 | (161) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.68/42.87 | $i(v0) & ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 250.68/42.87 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v1) = v2) |
% 250.68/42.87 | ~ $i(v1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 250.68/42.87 | v2) = 0) & ! [v1: $i] : ( ~
% 250.68/42.87 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0, v0) = v1) |
% 250.68/42.87 | ? [v2: int] : ( ~ (v2 = 0) &
% 250.68/42.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) = v2)))
% 250.68/42.87 |
% 250.68/42.87 | ALPHA: (fact_real__mult__less__iff1) implies:
% 250.68/42.87 | (162) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.68/42.87 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 250.68/42.87 | [v5: $i] : ! [v6: any] : ( ~
% 250.68/42.87 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v3) = v4) |
% 250.68/42.87 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v3) = v5)
% 250.68/42.87 | | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v5) =
% 250.68/42.87 | v6) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v7: any] : ?
% 250.68/42.87 | [v8: any] : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2,
% 250.68/42.87 | v1) = v8 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.68/42.87 | v0, v3) = v7 & ( ~ (v7 = 0) | (( ~ (v8 = 0) | v6 = 0) & ( ~
% 250.68/42.87 | (v6 = 0) | v8 = 0))))))
% 250.68/42.87 |
% 250.68/42.87 | ALPHA: (fact_real__mult__order) implies:
% 250.68/42.87 | (163) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.68/42.87 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 250.68/42.87 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) = 0) |
% 250.68/42.87 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) = 0) |
% 250.68/42.87 | ~ $i(v2) | ~ $i(v1) | ? [v3: $i] :
% 250.68/42.87 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v1) = v3 &
% 250.68/42.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = 0 &
% 250.68/42.87 | $i(v3))))
% 250.68/42.87 |
% 250.68/42.87 | ALPHA: (fact_real__mult__less__mono2) implies:
% 250.68/42.87 | (164) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.68/42.87 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 250.68/42.87 | [v5: $i] : ! [v6: int] : (v6 = 0 | ~
% 250.68/42.87 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v2) = v4) |
% 250.68/42.87 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v1) = v5)
% 250.68/42.87 | | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v5) =
% 250.68/42.87 | v6) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v7: any] : ?
% 250.68/42.87 | [v8: any] : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2,
% 250.68/42.87 | v1) = v8 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.68/42.87 | v0, v3) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0)))))
% 250.68/42.87 |
% 250.68/42.87 | ALPHA: (fact_real__mult__left__cancel) implies:
% 250.68/42.87 | (165) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.68/42.87 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 250.68/42.87 | [v5: $i] : (v3 = v0 | ~
% 250.68/42.87 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v2) = v4) |
% 250.68/42.87 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v1) = v5)
% 250.68/42.87 | | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | (( ~ (v5 = v4) | v2 = v1) &
% 250.68/42.87 | ( ~ (v2 = v1) | v5 = v4))))
% 250.68/42.87 |
% 250.68/42.87 | ALPHA: (fact_real__mult__right__cancel) implies:
% 250.68/42.87 | (166) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.68/42.87 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 250.68/42.87 | [v5: $i] : (v3 = v0 | ~
% 250.68/42.87 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v3) = v4) |
% 250.68/42.87 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v3) = v5)
% 250.68/42.87 | | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | (( ~ (v5 = v4) | v2 = v1) &
% 250.68/42.87 | ( ~ (v2 = v1) | v5 = v4))))
% 250.68/42.87 |
% 250.68/42.87 | ALPHA: (fact_real__two__squares__add__zero__iff) implies:
% 250.98/42.87 | (167) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.98/42.87 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 250.98/42.87 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v2) = v3)
% 250.98/42.87 | | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v1) =
% 250.98/42.87 | v4) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v4)
% 250.98/42.87 | = v0) | ~ $i(v2) | ~ $i(v1) | (v2 = v0 & v1 = v0)) & ! [v1:
% 250.98/42.87 | $i] : ! [v2: $i] : (v2 = v0 | ~
% 250.98/42.87 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0, v0) = v1) |
% 250.98/42.87 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v1) = v2)))
% 250.98/42.87 |
% 250.98/42.87 | ALPHA: (fact_mult__numeral__1__right) implies:
% 250.98/42.87 | (168) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 250.98/42.87 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~
% 250.98/42.87 | (c_Groups_Otimes__class_Otimes(v2, v1, v3) = v4) | ~
% 250.98/42.87 | (c_Int_Onumber__class_Onumber__of(v2, v0) = v3) | ~ $i(v2) | ~
% 250.98/42.87 | $i(v1) | ? [v5: int] : ( ~ (v5 = 0) &
% 250.98/42.87 | class_Int_Onumber__ring(v2) = v5)))
% 250.98/42.87 |
% 250.98/42.87 | ALPHA: (fact_mult__numeral__1) implies:
% 250.98/42.87 | (169) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 250.98/42.87 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~
% 250.98/42.87 | (c_Groups_Otimes__class_Otimes(v2, v3, v1) = v4) | ~
% 250.98/42.87 | (c_Int_Onumber__class_Onumber__of(v2, v0) = v3) | ~ $i(v2) | ~
% 250.98/42.87 | $i(v1) | ? [v5: int] : ( ~ (v5 = 0) &
% 250.98/42.87 | class_Int_Onumber__ring(v2) = v5)))
% 250.98/42.87 |
% 250.98/42.87 | ALPHA: (fact_real__mult__le__cancel__iff2) implies:
% 250.98/42.88 | (170) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.98/42.88 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 250.98/42.88 | [v5: $i] : ! [v6: any] : ( ~
% 250.98/42.88 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v2) = v4) |
% 250.98/42.88 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v1) = v5)
% 250.98/42.88 | | ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5)
% 250.98/42.88 | = v6) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v7: any] : ?
% 250.98/42.88 | [v8: any] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 250.98/42.88 | v2, v1) = v8 &
% 250.98/42.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = v7 &
% 250.98/42.88 | ( ~ (v7 = 0) | (( ~ (v8 = 0) | v6 = 0) & ( ~ (v6 = 0) | v8 =
% 250.98/42.88 | 0))))))
% 250.98/42.88 |
% 250.98/42.88 | ALPHA: (fact_real__mult__le__cancel__iff1) implies:
% 250.98/42.88 | (171) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.98/42.88 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 250.98/42.88 | [v5: $i] : ! [v6: any] : ( ~
% 250.98/42.88 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v3) = v4) |
% 250.98/42.88 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v3) = v5)
% 250.98/42.88 | | ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5)
% 250.98/42.88 | = v6) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v7: any] : ?
% 250.98/42.88 | [v8: any] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 250.98/42.88 | v2, v1) = v8 &
% 250.98/42.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) = v7 &
% 250.98/42.88 | ( ~ (v7 = 0) | (( ~ (v8 = 0) | v6 = 0) & ( ~ (v6 = 0) | v8 =
% 250.98/42.88 | 0))))))
% 250.98/42.88 |
% 250.98/42.88 | ALPHA: (fact_rabs__ratiotest__lemma) implies:
% 250.98/42.88 | (172) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.98/42.88 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 250.98/42.88 | [v5: $i] : ! [v6: $i] : (v2 = v0 | ~
% 250.98/42.88 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v5) = v6) |
% 250.98/42.88 | ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v6) =
% 250.98/42.88 | 0) | ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v4)
% 250.98/42.88 | | ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v5) | ~
% 250.98/42.88 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v7: int] : ( ~ (v7 = 0) &
% 250.98/42.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) =
% 250.98/42.88 | v7)))
% 250.98/42.88 |
% 250.98/42.88 | ALPHA: (fact_norm__ratiotest__lemma) implies:
% 250.98/42.88 | (173) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.98/42.88 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 250.98/42.88 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 250.98/42.88 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3, v6) = v7) |
% 250.98/42.88 | ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v7) =
% 250.98/42.88 | 0) | ~ (c_RealVector_Onorm__class_Onorm(v4, v2) = v5) | ~
% 250.98/42.88 | (c_RealVector_Onorm__class_Onorm(v4, v1) = v6) | ~ $i(v4) | ~
% 250.98/42.88 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v8: any] : ? [v9: any] : ?
% 250.98/42.88 | [v10: $i] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 250.98/42.88 | v3, v0) = v9 & class_RealVector_Oreal__normed__vector(v4) =
% 250.98/42.88 | v8 & c_Groups_Ozero__class_Ozero(v4) = v10 & $i(v10) & ( ~ (v9
% 250.98/42.88 | = 0) | ~ (v8 = 0) | v10 = v2))))
% 250.98/42.88 |
% 250.98/42.88 | ALPHA: (fact_tan__npi) implies:
% 250.98/42.88 | (174) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.98/42.88 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 250.98/42.88 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~ $i(v1) | ? [v3: $i]
% 250.98/42.88 | : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2,
% 250.98/42.88 | c_Transcendental_Opi) = v3 & c_Transcendental_Otan(v3) = v0 &
% 250.98/42.88 | $i(v3))))
% 250.98/42.88 |
% 250.98/42.88 | ALPHA: (fact_mult__2__right) implies:
% 250.98/42.88 | (175) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 250.98/42.88 | c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i]
% 250.98/42.88 | : ! [v4: $i] : ! [v5: $i] : ( ~
% 250.98/42.88 | (c_Groups_Otimes__class_Otimes(v3, v2, v4) = v5) | ~
% 250.98/42.88 | (c_Int_Onumber__class_Onumber__of(v3, v1) = v4) | ~ $i(v3) | ~
% 250.98/42.88 | $i(v2) | ? [v6: any] : ? [v7: $i] :
% 250.98/42.88 | (c_Groups_Oplus__class_Oplus(v3, v2, v2) = v7 &
% 250.98/42.88 | class_Int_Onumber__ring(v3) = v6 & $i(v7) & ( ~ (v6 = 0) | v7 =
% 250.98/42.88 | v5))))
% 250.98/42.88 |
% 250.98/42.88 | ALPHA: (fact_mult__2) implies:
% 250.98/42.88 | (176) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 250.98/42.88 | c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i]
% 250.98/42.88 | : ! [v4: $i] : ! [v5: $i] : ( ~
% 250.98/42.88 | (c_Groups_Otimes__class_Otimes(v3, v4, v2) = v5) | ~
% 250.98/42.88 | (c_Int_Onumber__class_Onumber__of(v3, v1) = v4) | ~ $i(v3) | ~
% 250.98/42.88 | $i(v2) | ? [v6: any] : ? [v7: $i] :
% 250.98/42.88 | (c_Groups_Oplus__class_Oplus(v3, v2, v2) = v7 &
% 250.98/42.88 | class_Int_Onumber__ring(v3) = v6 & $i(v7) & ( ~ (v6 = 0) | v7 =
% 250.98/42.88 | v5))))
% 250.98/42.88 |
% 250.98/42.88 | ALPHA: (fact_eq__divide__2__times__iff) implies:
% 250.98/42.88 | (177) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 250.98/42.88 | v0 & c_Int_OBit0(v0) = v1 &
% 250.98/42.88 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 250.98/42.88 | $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 250.98/42.88 | : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : (v8 = v5 | ~
% 250.98/42.88 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v5) = v6) |
% 250.98/42.88 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v3) = v7)
% 250.98/42.88 | | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v4, v7) =
% 250.98/42.88 | v8) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ? [v9: $i] : ( ~ (v9
% 250.98/42.88 | = v6) & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v4,
% 250.98/42.88 | v3) = v9 & $i(v9))) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 250.98/42.88 | : ! [v6: $i] : ! [v7: $i] : ( ~
% 250.98/42.88 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v5) = v7) |
% 250.98/42.88 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v3) = v6)
% 250.98/42.88 | | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v4, v6) =
% 250.98/42.88 | v5) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) |
% 250.98/42.88 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v4, v3) = v7 &
% 250.98/42.88 | $i(v7))))
% 250.98/42.88 |
% 250.98/42.88 | ALPHA: (fact_m2pi__less__pi) implies:
% 250.98/42.88 | (178) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.98/42.88 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2,
% 250.98/42.88 | c_Transcendental_Opi) = v3 & c_Int_OBit1(c_Int_OPls) = v0 &
% 250.98/42.88 | c_Int_OBit0(v0) = v1 &
% 250.98/42.88 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 250.98/42.88 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v4 &
% 250.98/42.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4,
% 250.98/42.88 | c_Transcendental_Opi) = 0 & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 250.98/42.88 | $i(v0))
% 250.98/42.88 |
% 250.98/42.88 | ALPHA: (fact_tan__periodic) implies:
% 250.98/42.88 | (179) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 250.98/42.88 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2,
% 250.98/42.88 | c_Transcendental_Opi) = v3 & c_Int_OBit1(c_Int_OPls) = v0 &
% 250.98/42.88 | c_Int_OBit0(v0) = v1 &
% 250.98/42.88 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 250.98/42.88 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~
% 250.98/42.88 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5) | ~
% 250.98/42.88 | $i(v4) | ? [v6: $i] : (c_Transcendental_Otan(v5) = v6 &
% 250.98/42.88 | c_Transcendental_Otan(v4) = v6 & $i(v6))))
% 250.98/42.88 |
% 250.98/42.88 | ALPHA: (fact_arctan__inverse) implies:
% 250.98/42.88 | (180) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.98/42.88 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 250.98/42.88 | c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 &
% 250.98/42.88 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v3) = v4 &
% 250.98/42.88 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v4) &
% 250.98/42.88 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : !
% 250.98/42.88 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : (v5 = v0 | ~
% 250.98/42.88 | (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v5) = v6) | ~
% 250.98/42.88 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v6,
% 250.98/42.88 | c_Transcendental_Opi) = v7) | ~
% 250.98/42.88 | (c_Transcendental_Oarctan(v5) = v9) | ~
% 250.98/42.88 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v7, v4) = v8)
% 250.98/42.88 | | ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v8, v9) =
% 250.98/42.88 | v10) | ~ $i(v5) | ? [v11: $i] :
% 250.98/42.88 | (c_Transcendental_Oarctan(v11) = v10 &
% 250.98/42.88 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v5) = v11
% 250.98/42.88 | & $i(v11) & $i(v10))))
% 250.98/42.88 |
% 250.98/42.88 | ALPHA: (fact_cos__gt__zero__pi) implies:
% 250.98/42.88 | (181) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.98/42.88 | ? [v5: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 250.98/42.88 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 250.98/42.88 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.88 | c_Transcendental_Opi, v2) = v3 &
% 250.98/42.88 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v5 &
% 250.98/42.88 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v4 & $i(v5)
% 250.98/42.88 | & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v6: $i] : ( ~
% 250.98/42.88 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6) = 0) |
% 250.98/42.88 | ~ $i(v6) | ? [v7: any] : ? [v8: $i] : ? [v9: any] :
% 250.98/42.88 | (c_Transcendental_Ocos(v6) = v8 &
% 250.98/42.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v3) = v7 &
% 250.98/42.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v8) = v9 &
% 250.98/42.88 | $i(v8) & ( ~ (v7 = 0) | v9 = 0))))
% 250.98/42.88 |
% 250.98/42.88 | ALPHA: (fact_zmult__1) implies:
% 250.98/42.88 | (182) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v0) &
% 250.98/42.88 | ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 250.98/42.88 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v0, v1) = v2) | ~
% 250.98/42.88 | $i(v1)))
% 250.98/42.88 |
% 250.98/42.88 | ALPHA: (fact_zmult__1__right) implies:
% 250.98/42.88 | (183) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v0) &
% 250.98/42.88 | ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 250.98/42.88 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1, v0) = v2) | ~
% 250.98/42.88 | $i(v1)))
% 250.98/42.88 |
% 250.98/42.88 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J)
% 250.98/42.88 | implies:
% 250.98/42.88 | (184) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 250.98/42.88 | & ! [v1: $i] : ! [v2: $i] : ( ~
% 250.98/42.88 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) = 0) | ~
% 250.98/42.88 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) = 0) | ~
% 250.98/42.88 | $i(v2) | ~ $i(v1) | ? [v3: $i] :
% 250.98/42.88 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v2, v1) = v3 &
% 250.98/42.88 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3) = 0 &
% 250.98/42.88 | $i(v3))))
% 250.98/42.88 |
% 250.98/42.88 | ALPHA: (fact_cos__arctan__not__zero) implies:
% 250.98/42.88 | (185) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.98/42.88 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 250.98/42.88 | (c_Transcendental_Oarctan(v1) = v2) | ~ $i(v1) | ? [v3: $i] : (
% 250.98/42.88 | ~ (v3 = v0) & c_Transcendental_Ocos(v2) = v3 & $i(v3))))
% 250.98/42.88 |
% 250.98/42.88 | ALPHA: (fact_zmult__zless__mono2) implies:
% 250.98/42.88 | (186) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 250.98/42.88 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 250.98/42.88 | $i] : ! [v6: int] : (v6 = 0 | ~
% 250.98/42.88 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1, v3) = v4) | ~
% 250.98/42.88 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1, v2) = v5) | ~
% 250.98/42.88 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v5) = v6) | ~
% 250.98/42.88 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v7: any] : ? [v8: any] :
% 250.98/42.88 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v2) = v7 &
% 250.98/42.88 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) = v8 & ( ~
% 250.98/42.88 | (v8 = 0) | ~ (v7 = 0)))))
% 250.98/42.88 |
% 250.98/42.88 | ALPHA: (fact_cos__zero) implies:
% 250.98/42.88 | (187) ? [v0: $i] : ? [v1: $i] : (c_Transcendental_Ocos(v0) = v1 &
% 250.98/42.88 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 250.98/42.88 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) &
% 250.98/42.88 | $i(v0))
% 250.98/42.88 |
% 250.98/42.88 | ALPHA: (fact_abs__zmult__eq__1) implies:
% 250.98/42.88 | (188) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v0) &
% 250.98/42.88 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 250.98/42.88 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v2, v1) = v3) | ~
% 250.98/42.88 | $i(v2) | ~ $i(v1) | ? [v4: $i] : ? [v5: $i] :
% 250.98/42.88 | (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v3) = v4 &
% 250.98/42.88 | c_Groups_Oabs__class_Oabs(tc_Int_Oint, v2) = v5 & $i(v5) &
% 250.98/42.88 | $i(v4) & ( ~ (v4 = v0) | v5 = v0))))
% 250.98/42.88 |
% 250.98/42.88 | ALPHA: (fact_natceiling__zero) implies:
% 250.98/42.88 | (189) ? [v0: $i] : ? [v1: $i] : (c_RComplete_Onatceiling(v0) = v1 &
% 250.98/42.88 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 250.98/42.88 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) &
% 250.98/42.88 | $i(v0))
% 250.98/42.88 |
% 250.98/42.88 | ALPHA: (fact_cos__monotone__0__pi_H) implies:
% 250.98/42.88 | (190) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 250.98/42.88 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 250.98/42.88 | [v5: int] : (v5 = 0 | ~ (c_Transcendental_Ocos(v2) = v4) | ~
% 250.98/42.88 | (c_Transcendental_Ocos(v1) = v3) | ~
% 250.98/42.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v4) =
% 250.98/42.88 | v5) | ~ $i(v2) | ~ $i(v1) | ? [v6: any] : ? [v7: any] : ?
% 250.98/42.88 | [v8: any] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 250.98/42.88 | v2, v1) = v7 &
% 250.98/42.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 250.98/42.88 | c_Transcendental_Opi) = v8 &
% 250.98/42.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) =
% 250.98/42.88 | v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0)))))
% 250.98/42.88 |
% 250.98/42.88 | ALPHA: (arity_RealDef__Oreal__Rings_Olinordered__idom) implies:
% 250.98/42.88 | (191) class_Rings_Olinordered__idom(tc_RealDef_Oreal) = 0
% 250.98/42.88 |
% 250.98/42.88 | ALPHA: (arity_RealDef__Oreal__Int_Onumber__ring) implies:
% 250.98/42.88 | (192) class_Int_Onumber__ring(tc_RealDef_Oreal) = 0
% 250.98/42.88 |
% 250.98/42.88 | ALPHA: (arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) implies:
% 250.98/42.88 | (193) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) = 0
% 250.98/42.88 |
% 250.98/42.88 | ALPHA: (arity_Complex__Ocomplex__Groups_Oab__group__add) implies:
% 250.98/42.88 | (194) class_Groups_Oab__group__add(tc_Complex_Ocomplex) = 0
% 250.98/42.88 |
% 250.98/42.88 | ALPHA: (arity_Complex__Ocomplex__Rings_Ozero__neq__one) implies:
% 250.98/42.88 | (195) class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) = 0
% 250.98/42.88 |
% 250.98/42.88 | ALPHA: (arity_Complex__Ocomplex__Groups_Ogroup__add) implies:
% 250.98/42.88 | (196) class_Groups_Ogroup__add(tc_Complex_Ocomplex) = 0
% 250.98/42.88 |
% 250.98/42.88 | ALPHA: (conj_0) implies:
% 250.98/42.88 | (197) $i(tc_RealDef_Oreal)
% 250.98/42.88 | (198) $i(tc_Complex_Ocomplex)
% 250.98/42.88 | (199) $i(v_wa____)
% 250.98/42.88 | (200) $i(v_z____)
% 250.98/42.88 | (201) $i(v_p)
% 250.98/42.88 | (202) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.98/42.88 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 250.98/42.88 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: int] : ( ~ (v13
% 250.98/42.88 | = 0) & c_Int_OBit1(c_Int_OPls) = v9 & c_Int_OBit0(v9) = v10 &
% 250.98/42.88 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v10) = v11 &
% 250.98/42.88 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v8, v11) = v12 &
% 250.98/42.88 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = v0 &
% 250.98/42.88 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) = v6 &
% 250.98/42.88 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v7) = v8 &
% 250.98/42.88 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v1, v2) = v3 &
% 250.98/42.88 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v5, v6) = v7 &
% 250.98/42.88 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 250.98/42.88 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v5 &
% 250.98/42.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v12) = v13 &
% 250.98/42.88 | hAPP(v0, v_z____) = v2 & hAPP(v0, v_wa____) = v1 & $i(v12) &
% 250.98/42.88 | $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 250.98/42.88 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 250.98/42.88 |
% 250.98/42.88 | ALPHA: (function-axioms) implies:
% 250.98/42.88 | (203) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 250.98/42.88 | (c_Groups_Ozero__class_Ozero(v2) = v1) | ~
% 250.98/42.88 | (c_Groups_Ozero__class_Ozero(v2) = v0))
% 250.98/42.88 | (204) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 250.98/42.88 | (c_Int_OBit0(v2) = v1) | ~ (c_Int_OBit0(v2) = v0))
% 250.98/42.88 | (205) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 250.98/42.88 | (c_Int_OBit1(v2) = v1) | ~ (c_Int_OBit1(v2) = v0))
% 250.98/42.88 | (206) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 250.98/42.88 | : (v1 = v0 | ~ (class_Int_Onumber__ring(v2) = v1) | ~
% 250.98/42.88 | (class_Int_Onumber__ring(v2) = v0))
% 250.98/42.88 | (207) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 250.98/42.88 | : (v1 = v0 | ~ (class_RealVector_Oreal__normed__vector(v2) = v1) |
% 250.98/42.88 | ~ (class_RealVector_Oreal__normed__vector(v2) = v0))
% 250.98/42.89 | (208) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 250.98/42.89 | : (v1 = v0 | ~ (class_Groups_Ogroup__add(v2) = v1) | ~
% 250.98/42.89 | (class_Groups_Ogroup__add(v2) = v0))
% 250.98/42.89 | (209) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 250.98/42.89 | : (v1 = v0 | ~ (class_Groups_Oab__group__add(v2) = v1) | ~
% 250.98/42.89 | (class_Groups_Oab__group__add(v2) = v0))
% 250.98/42.89 | (210) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 250.98/42.89 | (c_Groups_Oone__class_Oone(v2) = v1) | ~
% 250.98/42.89 | (c_Groups_Oone__class_Oone(v2) = v0))
% 250.98/42.89 | (211) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 250.98/42.89 | (hAPP(v3, v2) = v1) | ~ (hAPP(v3, v2) = v0))
% 250.98/42.89 | (212) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 250.98/42.89 | (c_RealVector_Onorm__class_Onorm(v3, v2) = v1) | ~
% 250.98/42.89 | (c_RealVector_Onorm__class_Onorm(v3, v2) = v0))
% 250.98/42.89 | (213) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 250.98/42.89 | (c_Groups_Oabs__class_Oabs(v3, v2) = v1) | ~
% 250.98/42.89 | (c_Groups_Oabs__class_Oabs(v3, v2) = v0))
% 250.98/42.89 | (214) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 250.98/42.89 | (c_Groups_Ouminus__class_Ouminus(v3, v2) = v1) | ~
% 250.98/42.89 | (c_Groups_Ouminus__class_Ouminus(v3, v2) = v0))
% 250.98/42.89 | (215) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 250.98/42.89 | (c_Polynomial_Opoly(v3, v2) = v1) | ~ (c_Polynomial_Opoly(v3, v2)
% 250.98/42.89 | = v0))
% 250.98/42.89 | (216) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 250.98/42.89 | (c_Int_Onumber__class_Onumber__of(v3, v2) = v1) | ~
% 250.98/42.89 | (c_Int_Onumber__class_Onumber__of(v3, v2) = v0))
% 250.98/42.89 | (217) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 250.98/42.89 | : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 250.98/42.89 | (c_Orderings_Oord__class_Oless(v4, v3, v2) = v1) | ~
% 250.98/42.89 | (c_Orderings_Oord__class_Oless(v4, v3, v2) = v0))
% 250.98/42.89 | (218) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 250.98/42.89 | (v1 = v0 | ~ (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v1) | ~
% 250.98/42.89 | (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v0))
% 250.98/42.89 | (219) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 250.98/42.89 | (v1 = v0 | ~ (c_Rings_Oinverse__class_Odivide(v4, v3, v2) = v1) | ~
% 250.98/42.89 | (c_Rings_Oinverse__class_Odivide(v4, v3, v2) = v0))
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (12) with fresh symbol all_933_0 gives:
% 250.98/42.89 | (220) ~ (all_933_0 = 0) & c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 250.98/42.89 | c_Int_OPls, c_Int_OPls) = all_933_0
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (220) implies:
% 250.98/42.89 | (221) c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OPls) =
% 250.98/42.89 | all_933_0
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (20) with fresh symbol all_971_0 gives:
% 250.98/42.89 | (222) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_971_0 &
% 250.98/42.89 | c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, all_971_0) = all_971_0 &
% 250.98/42.89 | $i(all_971_0)
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (222) implies:
% 250.98/42.89 | (223) $i(all_971_0)
% 250.98/42.89 | (224) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_971_0
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (120) with fresh symbol all_973_0 gives:
% 250.98/42.89 | (225) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_973_0, v_r) =
% 250.98/42.89 | 0 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 250.98/42.89 | all_973_0 & $i(all_973_0)
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (225) implies:
% 250.98/42.89 | (226) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 250.98/42.89 | all_973_0
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (148) with fresh symbol all_975_0 gives:
% 250.98/42.89 | (227) c_Transcendental_Otan(all_975_0) = all_975_0 &
% 250.98/42.89 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_975_0 &
% 250.98/42.89 | $i(all_975_0)
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (227) implies:
% 250.98/42.89 | (228) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_975_0
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (149) with fresh symbol all_977_0 gives:
% 250.98/42.89 | (229) c_Transcendental_Otan(c_Transcendental_Opi) = all_977_0 &
% 250.98/42.89 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_977_0 &
% 250.98/42.89 | $i(all_977_0)
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (229) implies:
% 250.98/42.89 | (230) $i(all_977_0)
% 250.98/42.89 | (231) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_977_0
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (26) with fresh symbol all_983_0 gives:
% 250.98/42.89 | (232) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) = all_983_0
% 250.98/42.89 | & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_983_0 &
% 250.98/42.89 | $i(all_983_0)
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (232) implies:
% 250.98/42.89 | (233) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_983_0
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (95) with fresh symbol all_985_0 gives:
% 250.98/42.89 | (234) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_985_0,
% 250.98/42.89 | c_Transcendental_Opi) = 0 &
% 250.98/42.89 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_985_0 &
% 250.98/42.89 | $i(all_985_0)
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (234) implies:
% 250.98/42.89 | (235) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_985_0
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (126) with fresh symbol all_987_0 gives:
% 250.98/42.89 | (236) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_987_0, all_987_0)
% 250.98/42.89 | = 0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_987_0 &
% 250.98/42.89 | $i(all_987_0)
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (236) implies:
% 250.98/42.89 | (237) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_987_0
% 250.98/42.89 | (238) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_987_0, all_987_0)
% 250.98/42.89 | = 0
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (70) with fresh symbol all_989_0 gives:
% 250.98/42.89 | (239) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_989_0, v_r) =
% 250.98/42.89 | 0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_989_0 &
% 250.98/42.89 | $i(all_989_0)
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (239) implies:
% 250.98/42.89 | (240) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_989_0
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (9) with fresh symbol all_991_0 gives:
% 250.98/42.89 | (241) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_991_0 &
% 250.98/42.89 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_991_0, v_d____) =
% 250.98/42.89 | 0 & $i(all_991_0)
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (241) implies:
% 250.98/42.89 | (242) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_991_0
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (140) with fresh symbol all_993_0 gives:
% 250.98/42.89 | (243) c_Transcendental_Oarctan(all_993_0) = all_993_0 &
% 250.98/42.89 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_993_0 &
% 250.98/42.89 | $i(all_993_0)
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (243) implies:
% 250.98/42.89 | (244) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_993_0
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (46) with fresh symbol all_995_0 gives:
% 250.98/42.89 | (245) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_995_0 &
% 250.98/42.89 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_995_0,
% 250.98/42.89 | c_Transcendental_Opi) = 0 & $i(all_995_0)
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (245) implies:
% 250.98/42.89 | (246) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_995_0
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (37) with fresh symbol all_997_0 gives:
% 250.98/42.89 | (247) ~ (all_997_0 = c_Transcendental_Opi) &
% 250.98/42.89 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_997_0 &
% 250.98/42.89 | $i(all_997_0)
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (247) implies:
% 250.98/42.89 | (248) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_997_0
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (45) with fresh symbols all_1026_0, all_1026_1 gives:
% 250.98/42.89 | (249) ~ (all_1026_0 = 0) & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 250.98/42.89 | all_1026_1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.98/42.89 | c_Transcendental_Opi, all_1026_1) = all_1026_0 & $i(all_1026_1)
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (249) implies:
% 250.98/42.89 | (250) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1026_1
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (25) with fresh symbols all_1031_0, all_1031_1 gives:
% 250.98/42.89 | (251) ~ (all_1031_0 = 0) & c_Groups_Ozero__class_Ozero(tc_Int_Oint) =
% 250.98/42.89 | all_1031_1 & c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls,
% 250.98/42.89 | all_1031_1) = all_1031_0 & $i(all_1031_1)
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (251) implies:
% 250.98/42.89 | (252) c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, all_1031_1) =
% 250.98/42.89 | all_1031_0
% 250.98/42.89 | (253) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1031_1
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (182) with fresh symbol all_1039_0 gives:
% 250.98/42.89 | (254) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1039_0 & $i(all_1039_0)
% 250.98/42.89 | & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 250.98/42.89 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, all_1039_0, v0) = v1) |
% 250.98/42.89 | ~ $i(v0))
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (254) implies:
% 250.98/42.89 | (255) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1039_0
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (44) with fresh symbols all_1048_0, all_1048_1 gives:
% 250.98/42.89 | (256) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1048_0 &
% 250.98/42.89 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1048_1 &
% 250.98/42.89 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1048_1, all_1048_0) =
% 250.98/42.89 | 0 & $i(all_1048_0) & $i(all_1048_1)
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (256) implies:
% 250.98/42.89 | (257) $i(all_1048_0)
% 250.98/42.89 | (258) c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1048_1, all_1048_0) =
% 250.98/42.89 | 0
% 250.98/42.89 | (259) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1048_1
% 250.98/42.89 | (260) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1048_0
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (80) with fresh symbol all_1050_0 gives:
% 250.98/42.89 | (261) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1050_0 &
% 250.98/42.89 | $i(all_1050_0) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 250.98/42.89 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_1050_0, v0) = v1) |
% 250.98/42.89 | ~ $i(v0))
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (261) implies:
% 250.98/42.89 | (262) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1050_0
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (86) with fresh symbols all_1058_0, all_1058_1 gives:
% 250.98/42.89 | (263) c_RealDef_Oreal(tc_Nat_Onat, all_1058_1) = all_1058_0 &
% 250.98/42.89 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1058_1 &
% 250.98/42.89 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1058_0 &
% 250.98/42.89 | $i(all_1058_0) & $i(all_1058_1)
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (263) implies:
% 250.98/42.89 | (264) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1058_0
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (54) with fresh symbols all_1060_0, all_1060_1 gives:
% 250.98/42.89 | (265) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1060_1 &
% 250.98/42.89 | c_Int_OBit1(c_Int_OPls) = all_1060_0 &
% 250.98/42.89 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1060_0) =
% 250.98/42.89 | all_1060_1 & $i(all_1060_0) & $i(all_1060_1)
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (265) implies:
% 250.98/42.89 | (266) c_Int_OBit1(c_Int_OPls) = all_1060_0
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (53) with fresh symbols all_1062_0, all_1062_1 gives:
% 250.98/42.89 | (267) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1062_0 &
% 250.98/42.89 | c_Int_OBit1(c_Int_OPls) = all_1062_1 &
% 250.98/42.89 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1062_1) =
% 250.98/42.89 | all_1062_0 & $i(all_1062_0) & $i(all_1062_1)
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (267) implies:
% 250.98/42.89 | (268) c_Int_OBit1(c_Int_OPls) = all_1062_1
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (71) with fresh symbol all_1067_0 gives:
% 250.98/42.89 | (269) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1067_0 &
% 250.98/42.89 | $i(all_1067_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 250.98/42.89 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1) | ~ $i(v0) |
% 250.98/42.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1067_0, v1)
% 250.98/42.89 | = 0)
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (269) implies:
% 250.98/42.89 | (270) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1067_0
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (1) with fresh symbols all_1073_0, all_1073_1 gives:
% 250.98/42.89 | (271) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v_wa____, v_z____)
% 250.98/42.89 | = all_1073_1 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 250.98/42.89 | all_1073_1) = all_1073_0 &
% 250.98/42.89 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1073_0, v_d____)
% 250.98/42.89 | = 0 & $i(all_1073_0) & $i(all_1073_1)
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (271) implies:
% 250.98/42.89 | (272) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1073_0, v_d____)
% 250.98/42.89 | = 0
% 250.98/42.89 | (273) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1073_1) =
% 250.98/42.89 | all_1073_0
% 250.98/42.89 | (274) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v_wa____, v_z____)
% 250.98/42.89 | = all_1073_1
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (187) with fresh symbols all_1075_0, all_1075_1 gives:
% 250.98/42.89 | (275) c_Transcendental_Ocos(all_1075_1) = all_1075_0 &
% 250.98/42.89 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1075_0 &
% 250.98/42.89 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1075_1 &
% 250.98/42.89 | $i(all_1075_0) & $i(all_1075_1)
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (275) implies:
% 250.98/42.89 | (276) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1075_1
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (183) with fresh symbol all_1082_0 gives:
% 250.98/42.89 | (277) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1082_0 & $i(all_1082_0)
% 250.98/42.89 | & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 250.98/42.89 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v0, all_1082_0) = v1) |
% 250.98/42.89 | ~ $i(v0))
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (277) implies:
% 250.98/42.89 | (278) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1082_0
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (36) with fresh symbols all_1096_0, all_1096_1 gives:
% 250.98/42.89 | (279) ~ (all_1096_0 = all_1096_1) & c_Groups_Oone__class_Oone(tc_Int_Oint)
% 250.98/42.89 | = all_1096_0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1096_1
% 250.98/42.89 | & $i(all_1096_0) & $i(all_1096_1)
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (279) implies:
% 250.98/42.89 | (280) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1096_1
% 250.98/42.89 | (281) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1096_0
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (79) with fresh symbol all_1104_0 gives:
% 250.98/42.89 | (282) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1104_0 &
% 250.98/42.89 | $i(all_1104_0) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 250.98/42.89 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_1104_0) = v1) |
% 250.98/42.89 | ~ $i(v0))
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (282) implies:
% 250.98/42.89 | (283) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1104_0
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (55) with fresh symbols all_1110_0, all_1110_1 gives:
% 250.98/42.89 | (284) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1110_1 &
% 250.98/42.89 | c_Int_OBit1(c_Int_OPls) = all_1110_0 &
% 250.98/42.89 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_1110_0) =
% 250.98/42.89 | all_1110_1 & $i(all_1110_0) & $i(all_1110_1)
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (284) implies:
% 250.98/42.89 | (285) c_Int_OBit1(c_Int_OPls) = all_1110_0
% 250.98/42.89 | (286) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1110_1
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (127) with fresh symbols all_1112_0, all_1112_1 gives:
% 250.98/42.89 | (287) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1112_0 &
% 250.98/42.89 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1112_1,
% 250.98/42.89 | all_1112_0) = 0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) =
% 250.98/42.89 | all_1112_1 & $i(all_1112_0) & $i(all_1112_1)
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (287) implies:
% 250.98/42.89 | (288) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1112_1
% 250.98/42.89 | (289) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1112_1,
% 250.98/42.89 | all_1112_0) = 0
% 250.98/42.89 | (290) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1112_0
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (129) with fresh symbols all_1117_0, all_1117_1 gives:
% 250.98/42.89 | (291) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1117_1,
% 250.98/42.89 | all_1117_0) = 0 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint,
% 250.98/42.89 | c_Int_OPls) = all_1117_0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 250.98/42.89 | = all_1117_1 & $i(all_1117_0) & $i(all_1117_1)
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (291) implies:
% 250.98/42.89 | (292) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1117_1
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (42) with fresh symbols all_1119_0, all_1119_1 gives:
% 250.98/42.89 | (293) ~ (all_1119_0 = all_1119_1) &
% 250.98/42.89 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1119_0 &
% 250.98/42.89 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1119_1 &
% 250.98/42.89 | $i(all_1119_0) & $i(all_1119_1)
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (293) implies:
% 250.98/42.89 | (294) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1119_1
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (189) with fresh symbols all_1126_0, all_1126_1 gives:
% 250.98/42.89 | (295) c_RComplete_Onatceiling(all_1126_1) = all_1126_0 &
% 250.98/42.89 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1126_0 &
% 250.98/42.89 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1126_1 &
% 250.98/42.89 | $i(all_1126_0) & $i(all_1126_1)
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (295) implies:
% 250.98/42.89 | (296) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1126_1
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (88) with fresh symbol all_1128_0 gives:
% 250.98/42.89 | (297) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1128_0 &
% 250.98/42.89 | $i(all_1128_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 250.98/42.89 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1) | ~ $i(v0) | ? [v2: int]
% 250.98/42.89 | : ( ~ (v2 = 0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.98/42.89 | v1, all_1128_0) = v2))
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (297) implies:
% 250.98/42.89 | (298) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1128_0
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (91) with fresh symbol all_1146_0 gives:
% 250.98/42.89 | (299) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1146_0 &
% 250.98/42.89 | $i(all_1146_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 =
% 250.98/42.89 | all_1146_0 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) =
% 250.98/42.89 | v2) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v1)
% 250.98/42.89 | | ~ $i(v0))
% 250.98/42.89 |
% 250.98/42.89 | ALPHA: (299) implies:
% 250.98/42.89 | (300) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1146_0
% 250.98/42.89 |
% 250.98/42.89 | DELTA: instantiating (75) with fresh symbol all_1152_0 gives:
% 250.98/42.90 | (301) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1152_0 &
% 250.98/42.90 | $i(all_1152_0) & ! [v0: $i] : ! [v1: $i] : ( ~ (c_Nat_OSuc(v0) =
% 250.98/42.90 | v1) | ~ $i(v0) | ? [v2: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v1)
% 250.98/42.90 | = v2 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.98/42.90 | all_1152_0, v2) = 0 & $i(v2)))
% 250.98/42.90 |
% 250.98/42.90 | ALPHA: (301) implies:
% 250.98/42.90 | (302) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1152_0
% 250.98/42.90 |
% 250.98/42.90 | DELTA: instantiating (141) with fresh symbol all_1158_0 gives:
% 250.98/42.90 | (303) c_Int_OBit1(c_Int_OPls) = all_1158_0 & $i(all_1158_0) & ! [v0: $i] :
% 250.98/42.90 | ! [v1: $i] : ( ~ (c_Int_Oiszero(v0, v1) = 0) | ~
% 250.98/42.90 | (c_Int_Onumber__class_Onumber__of(v0, all_1158_0) = v1) | ~ $i(v0)
% 250.98/42.90 | | ? [v2: int] : ( ~ (v2 = 0) & class_Int_Onumber__ring(v0) = v2))
% 250.98/42.90 |
% 250.98/42.90 | ALPHA: (303) implies:
% 250.98/42.90 | (304) c_Int_OBit1(c_Int_OPls) = all_1158_0
% 250.98/42.90 |
% 250.98/42.90 | DELTA: instantiating (81) with fresh symbols all_1161_0, all_1161_1 gives:
% 250.98/42.90 | (305) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1161_1 &
% 250.98/42.90 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1161_0 &
% 250.98/42.90 | $i(all_1161_0) & $i(all_1161_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 250.98/42.90 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = all_1161_0) |
% 250.98/42.90 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_1161_1, v0) = v1) |
% 250.98/42.90 | ~ $i(v0))
% 250.98/42.90 |
% 250.98/42.90 | ALPHA: (305) implies:
% 250.98/42.90 | (306) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1161_0
% 250.98/42.90 | (307) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1161_1
% 250.98/42.90 |
% 250.98/42.90 | DELTA: instantiating (101) with fresh symbols all_1167_0, all_1167_1,
% 250.98/42.90 | all_1167_2 gives:
% 250.98/42.90 | (308) c_Nat_OSuc(all_1167_0) = all_1167_1 & c_Int_OBit1(c_Int_OPls) =
% 250.98/42.90 | all_1167_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 250.98/42.90 | all_1167_2) = all_1167_1 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 250.98/42.90 | = all_1167_0 & $i(all_1167_0) & $i(all_1167_1) & $i(all_1167_2)
% 250.98/42.90 |
% 250.98/42.90 | ALPHA: (308) implies:
% 250.98/42.90 | (309) c_Int_OBit1(c_Int_OPls) = all_1167_2
% 250.98/42.90 |
% 250.98/42.90 | DELTA: instantiating (174) with fresh symbol all_1169_0 gives:
% 250.98/42.90 | (310) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1169_0 &
% 250.98/42.90 | $i(all_1169_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 250.98/42.90 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1) | ~ $i(v0) | ? [v2: $i] :
% 250.98/42.90 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1,
% 250.98/42.90 | c_Transcendental_Opi) = v2 & c_Transcendental_Otan(v2) =
% 250.98/42.90 | all_1169_0 & $i(v2)))
% 250.98/42.90 |
% 250.98/42.90 | ALPHA: (310) implies:
% 250.98/42.90 | (311) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1169_0
% 250.98/42.90 |
% 250.98/42.90 | DELTA: instantiating (185) with fresh symbol all_1172_0 gives:
% 250.98/42.90 | (312) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1172_0 &
% 250.98/42.90 | $i(all_1172_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 250.98/42.90 | (c_Transcendental_Oarctan(v0) = v1) | ~ $i(v0) | ? [v2: any] : (
% 250.98/42.90 | ~ (v2 = all_1172_0) & c_Transcendental_Ocos(v1) = v2 & $i(v2)))
% 250.98/42.90 |
% 250.98/42.90 | ALPHA: (312) implies:
% 250.98/42.90 | (313) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1172_0
% 250.98/42.90 |
% 250.98/42.90 | DELTA: instantiating (107) with fresh symbols all_1175_0, all_1175_1,
% 250.98/42.90 | all_1175_2 gives:
% 250.98/42.90 | (314) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1175_0,
% 250.98/42.90 | c_Transcendental_Opi) = 0 & c_Int_OBit1(c_Int_OPls) = all_1175_2 &
% 250.98/42.90 | c_Int_OBit0(all_1175_2) = all_1175_1 &
% 250.98/42.90 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 250.98/42.90 | all_1175_0 & $i(all_1175_0) & $i(all_1175_1) & $i(all_1175_2)
% 250.98/42.90 |
% 250.98/42.90 | ALPHA: (314) implies:
% 250.98/42.90 | (315) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 250.98/42.90 | all_1175_0
% 250.98/42.90 | (316) c_Int_OBit0(all_1175_2) = all_1175_1
% 250.98/42.90 | (317) c_Int_OBit1(c_Int_OPls) = all_1175_2
% 250.98/42.90 |
% 250.98/42.90 | DELTA: instantiating (78) with fresh symbol all_1177_0 gives:
% 250.98/42.90 | (318) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1177_0 & $i(all_1177_0)
% 250.98/42.90 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 250.98/42.90 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~
% 250.98/42.90 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_1177_0, v0) = v1) |
% 250.98/42.90 | ~ $i(v0) | (c_Int_OBit1(v0) = v2 & $i(v2)))
% 250.98/42.90 |
% 250.98/42.90 | ALPHA: (318) implies:
% 250.98/42.90 | (319) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1177_0
% 250.98/42.90 |
% 250.98/42.90 | DELTA: instantiating (10) with fresh symbol all_1185_0 gives:
% 250.98/42.90 | (320) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1185_0 &
% 250.98/42.90 | $i(all_1185_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 =
% 250.98/42.90 | all_1185_0 | ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~
% 250.98/42.90 | (c_RealVector_Onorm__class_Onorm(v0, v1) = v2) | ~ $i(v0) | ?
% 250.98/42.90 | [v3: int] : ( ~ (v3 = 0) &
% 250.98/42.90 | class_RealVector_Oreal__normed__vector(v0) = v3))
% 250.98/42.90 |
% 250.98/42.90 | ALPHA: (320) implies:
% 250.98/42.90 | (321) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1185_0
% 250.98/42.90 |
% 250.98/42.90 | DELTA: instantiating (74) with fresh symbol all_1191_0 gives:
% 250.98/42.90 | (322) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1191_0 & $i(all_1191_0)
% 250.98/42.90 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 |
% 250.98/42.90 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, all_1191_0) = v2) |
% 250.98/42.90 | ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0) = v3) |
% 250.98/42.90 | ~ $i(v1) | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) &
% 250.98/42.90 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = v4))
% 250.98/42.90 |
% 250.98/42.90 | ALPHA: (322) implies:
% 250.98/42.90 | (323) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1191_0
% 250.98/42.90 |
% 250.98/42.90 | DELTA: instantiating (114) with fresh symbols all_1194_0, all_1194_1,
% 250.98/42.90 | all_1194_2, all_1194_3 gives:
% 250.98/42.90 | (324) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1194_3,
% 250.98/42.90 | all_1194_0) = 0 & c_Int_OBit1(c_Int_OPls) = all_1194_2 &
% 250.98/42.90 | c_Int_OBit0(all_1194_2) = all_1194_1 &
% 250.98/42.90 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_1194_1) =
% 250.98/42.90 | all_1194_0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1194_3 &
% 250.98/42.90 | $i(all_1194_0) & $i(all_1194_1) & $i(all_1194_2) & $i(all_1194_3)
% 250.98/42.90 |
% 250.98/42.90 | ALPHA: (324) implies:
% 250.98/42.90 | (325) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1194_3
% 250.98/42.90 | (326) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_1194_1) =
% 250.98/42.90 | all_1194_0
% 250.98/42.90 | (327) c_Int_OBit0(all_1194_2) = all_1194_1
% 250.98/42.90 | (328) c_Int_OBit1(c_Int_OPls) = all_1194_2
% 250.98/42.90 | (329) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1194_3,
% 250.98/42.90 | all_1194_0) = 0
% 250.98/42.90 |
% 250.98/42.90 | DELTA: instantiating (49) with fresh symbols all_1199_0, all_1199_1 gives:
% 250.98/42.90 | (330) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1199_0 &
% 250.98/42.90 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1199_1 &
% 250.98/42.90 | $i(all_1199_0) & $i(all_1199_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 250.98/42.90 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v1) | ~ $i(v0)
% 250.98/42.90 | | ? [v2: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 250.98/42.90 | all_1199_0, v1) = v2 &
% 250.98/42.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1199_1, v2) =
% 250.98/42.90 | 0 & $i(v2)))
% 250.98/42.90 |
% 250.98/42.90 | ALPHA: (330) implies:
% 250.98/42.90 | (331) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1199_1
% 250.98/42.90 |
% 250.98/42.90 | DELTA: instantiating (61) with fresh symbols all_1202_0, all_1202_1,
% 250.98/42.90 | all_1202_2, all_1202_3 gives:
% 250.98/42.90 | (332) c_Int_OBit1(c_Int_OPls) = all_1202_3 & c_Int_OBit0(all_1202_3) =
% 250.98/42.90 | all_1202_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 250.98/42.90 | all_1202_2) = all_1202_1 &
% 250.98/42.90 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.90 | c_Transcendental_Opi, all_1202_1) = all_1202_0 &
% 250.98/42.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1202_0,
% 250.98/42.90 | all_1202_1) = 0 & $i(all_1202_0) & $i(all_1202_1) & $i(all_1202_2)
% 250.98/42.90 | & $i(all_1202_3)
% 250.98/42.90 |
% 250.98/42.90 | ALPHA: (332) implies:
% 250.98/42.90 | (333) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.90 | c_Transcendental_Opi, all_1202_1) = all_1202_0
% 250.98/42.90 | (334) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1202_2) =
% 250.98/42.90 | all_1202_1
% 250.98/42.90 | (335) c_Int_OBit0(all_1202_3) = all_1202_2
% 250.98/42.90 | (336) c_Int_OBit1(c_Int_OPls) = all_1202_3
% 250.98/42.90 |
% 250.98/42.90 | DELTA: instantiating (104) with fresh symbols all_1210_0, all_1210_1,
% 250.98/42.90 | all_1210_2, all_1210_3 gives:
% 250.98/42.90 | (337) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1210_3 &
% 250.98/42.90 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_1210_3, all_1210_3) =
% 250.98/42.90 | all_1210_2 & c_Int_OBit1(c_Int_OPls) = all_1210_1 &
% 250.98/42.90 | c_Int_OBit0(all_1210_1) = all_1210_0 &
% 250.98/42.90 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1210_0) =
% 250.98/42.90 | all_1210_2 & $i(all_1210_0) & $i(all_1210_1) & $i(all_1210_2) &
% 250.98/42.90 | $i(all_1210_3)
% 250.98/42.90 |
% 250.98/42.90 | ALPHA: (337) implies:
% 250.98/42.90 | (338) c_Int_OBit0(all_1210_1) = all_1210_0
% 250.98/42.90 | (339) c_Int_OBit1(c_Int_OPls) = all_1210_1
% 250.98/42.90 |
% 250.98/42.90 | DELTA: instantiating (184) with fresh symbol all_1212_0 gives:
% 250.98/42.90 | (340) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1212_0 &
% 250.98/42.90 | $i(all_1212_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 250.98/42.90 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1212_0, v1) =
% 250.98/42.90 | 0) | ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 250.98/42.90 | all_1212_0, v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] :
% 250.98/42.90 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1, v0) = v2 &
% 250.98/42.90 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1212_0, v2) =
% 250.98/42.90 | 0 & $i(v2)))
% 250.98/42.90 |
% 250.98/42.90 | ALPHA: (340) implies:
% 250.98/42.90 | (341) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1212_0
% 250.98/42.90 |
% 250.98/42.90 | DELTA: instantiating (87) with fresh symbols all_1215_0, all_1215_1 gives:
% 250.98/42.90 | (342) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1215_0 &
% 250.98/42.90 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1215_1 &
% 250.98/42.90 | $i(all_1215_0) & $i(all_1215_1) & ! [v0: any] : (v0 = all_1215_0 |
% 250.98/42.90 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v0) = all_1215_1) | ~ $i(v0)) & !
% 250.98/42.90 | [v0: int] : (v0 = all_1215_1 | ~ (c_RealDef_Oreal(tc_Nat_Onat,
% 250.98/42.90 | all_1215_0) = v0))
% 250.98/42.90 |
% 250.98/42.90 | ALPHA: (342) implies:
% 250.98/42.90 | (343) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1215_1
% 250.98/42.90 |
% 250.98/42.90 | DELTA: instantiating (128) with fresh symbol all_1218_0 gives:
% 250.98/42.90 | (344) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1218_0 &
% 250.98/42.90 | $i(all_1218_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 250.98/42.90 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1218_0, v1) =
% 250.98/42.90 | 0) | ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 250.98/42.90 | all_1218_0, v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] :
% 250.98/42.90 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2 &
% 250.98/42.90 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1218_0, v2) =
% 250.98/42.90 | 0 & $i(v2)))
% 250.98/42.90 |
% 250.98/42.90 | ALPHA: (344) implies:
% 250.98/42.90 | (345) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1218_0
% 250.98/42.90 |
% 250.98/42.90 | DELTA: instantiating (28) with fresh symbols all_1221_0, all_1221_1,
% 250.98/42.90 | all_1221_2, all_1221_3 gives:
% 250.98/42.90 | (346) c_Int_OBit1(c_Int_OPls) = all_1221_2 & c_Int_OBit0(all_1221_2) =
% 250.98/42.90 | all_1221_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 250.98/42.90 | all_1221_1) = all_1221_0 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 250.98/42.90 | = all_1221_3 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1221_3,
% 250.98/42.90 | all_1221_0) = 0 & $i(all_1221_0) & $i(all_1221_1) & $i(all_1221_2)
% 250.98/42.90 | & $i(all_1221_3)
% 250.98/42.90 |
% 250.98/42.90 | ALPHA: (346) implies:
% 250.98/42.90 | (347) c_Int_OBit0(all_1221_2) = all_1221_1
% 250.98/42.90 | (348) c_Int_OBit1(c_Int_OPls) = all_1221_2
% 250.98/42.90 |
% 250.98/42.90 | DELTA: instantiating (168) with fresh symbol all_1223_0 gives:
% 250.98/42.90 | (349) c_Int_OBit1(c_Int_OPls) = all_1223_0 & $i(all_1223_0) & ! [v0: $i] :
% 250.98/42.90 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 250.98/42.90 | (c_Groups_Otimes__class_Otimes(v1, v0, v2) = v3) | ~
% 250.98/42.90 | (c_Int_Onumber__class_Onumber__of(v1, all_1223_0) = v2) | ~ $i(v1)
% 250.98/42.90 | | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) &
% 250.98/42.90 | class_Int_Onumber__ring(v1) = v4))
% 250.98/42.90 |
% 250.98/42.90 | ALPHA: (349) implies:
% 250.98/42.90 | (350) c_Int_OBit1(c_Int_OPls) = all_1223_0
% 250.98/42.90 |
% 250.98/42.90 | DELTA: instantiating (56) with fresh symbol all_1226_0 gives:
% 250.98/42.90 | (351) c_Int_OBit1(c_Int_OPls) = all_1226_0 & $i(all_1226_0) & ! [v0: $i] :
% 250.98/42.90 | ! [v1: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v0, all_1226_0) =
% 250.98/42.90 | v1) | ~ $i(v0) | ? [v2: any] : ? [v3: $i] :
% 250.98/42.90 | (c_Groups_Oone__class_Oone(v0) = v3 & class_Int_Onumber__ring(v0) =
% 250.98/42.90 | v2 & $i(v3) & ( ~ (v2 = 0) | v3 = v1)))
% 250.98/42.90 |
% 250.98/42.90 | ALPHA: (351) implies:
% 250.98/42.90 | (352) c_Int_OBit1(c_Int_OPls) = all_1226_0
% 250.98/42.90 |
% 250.98/42.90 | DELTA: instantiating (56) with fresh symbol all_1232_0 gives:
% 250.98/42.90 | (353) c_Int_OBit1(c_Int_OPls) = all_1232_0 & $i(all_1232_0) & ! [v0: $i] :
% 250.98/42.90 | ! [v1: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v0, all_1232_0) =
% 250.98/42.90 | v1) | ~ $i(v0) | ? [v2: any] : ? [v3: $i] :
% 250.98/42.90 | (c_Groups_Oone__class_Oone(v0) = v3 & class_Int_Onumber__ring(v0) =
% 250.98/42.90 | v2 & $i(v3) & ( ~ (v2 = 0) | v3 = v1)))
% 250.98/42.90 |
% 250.98/42.90 | ALPHA: (353) implies:
% 250.98/42.90 | (354) c_Int_OBit1(c_Int_OPls) = all_1232_0
% 250.98/42.90 |
% 250.98/42.90 | DELTA: instantiating (169) with fresh symbol all_1236_0 gives:
% 250.98/42.90 | (355) c_Int_OBit1(c_Int_OPls) = all_1236_0 & $i(all_1236_0) & ! [v0: $i] :
% 250.98/42.90 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 250.98/42.90 | (c_Groups_Otimes__class_Otimes(v1, v2, v0) = v3) | ~
% 250.98/42.90 | (c_Int_Onumber__class_Onumber__of(v1, all_1236_0) = v2) | ~ $i(v1)
% 250.98/42.90 | | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) &
% 250.98/42.90 | class_Int_Onumber__ring(v1) = v4))
% 250.98/42.90 |
% 250.98/42.90 | ALPHA: (355) implies:
% 250.98/42.90 | (356) c_Int_OBit1(c_Int_OPls) = all_1236_0
% 250.98/42.90 |
% 250.98/42.90 | DELTA: instantiating (163) with fresh symbol all_1239_0 gives:
% 250.98/42.90 | (357) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1239_0 &
% 250.98/42.90 | $i(all_1239_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 250.98/42.90 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1239_0, v1) =
% 250.98/42.90 | 0) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.98/42.90 | all_1239_0, v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] :
% 250.98/42.90 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v0) = v2 &
% 250.98/42.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1239_0, v2) =
% 250.98/42.90 | 0 & $i(v2)))
% 250.98/42.90 |
% 250.98/42.90 | ALPHA: (357) implies:
% 250.98/42.90 | (358) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1239_0
% 250.98/42.90 |
% 250.98/42.90 | DELTA: instantiating (59) with fresh symbols all_1248_0, all_1248_1,
% 250.98/42.90 | all_1248_2, all_1248_3 gives:
% 250.98/42.90 | (359) c_Int_OBit1(c_Int_OPls) = all_1248_3 & c_Int_OBit0(all_1248_2) =
% 250.98/42.90 | all_1248_1 & c_Int_OBit0(all_1248_3) = all_1248_2 &
% 250.98/42.90 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1248_1) =
% 250.98/42.90 | all_1248_0 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.98/42.90 | c_Transcendental_Opi, all_1248_0) = 0 & $i(all_1248_0) &
% 250.98/42.90 | $i(all_1248_1) & $i(all_1248_2) & $i(all_1248_3)
% 250.98/42.90 |
% 250.98/42.90 | ALPHA: (359) implies:
% 250.98/42.90 | (360) c_Int_OBit0(all_1248_3) = all_1248_2
% 250.98/42.90 | (361) c_Int_OBit1(c_Int_OPls) = all_1248_3
% 250.98/42.90 |
% 250.98/42.90 | DELTA: instantiating (14) with fresh symbol all_1250_0 gives:
% 250.98/42.90 | (362) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1250_0 &
% 250.98/42.90 | $i(all_1250_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 250.98/42.90 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 250.98/42.90 | $i(v0) | ? [v3: any] : ? [v4: any] :
% 250.98/42.90 | (class_RealVector_Oreal__normed__vector(v1) = v3 &
% 250.98/42.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, all_1250_0) =
% 250.98/42.90 | v4 & ( ~ (v4 = 0) | ~ (v3 = 0))))
% 250.98/42.90 |
% 250.98/42.90 | ALPHA: (362) implies:
% 250.98/42.90 | (363) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1250_0
% 250.98/42.90 | (364) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 250.98/42.90 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 250.98/42.90 | $i(v0) | ? [v3: any] : ? [v4: any] :
% 250.98/42.90 | (class_RealVector_Oreal__normed__vector(v1) = v3 &
% 250.98/42.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, all_1250_0) =
% 250.98/42.90 | v4 & ( ~ (v4 = 0) | ~ (v3 = 0))))
% 250.98/42.90 |
% 250.98/42.90 | DELTA: instantiating (92) with fresh symbol all_1253_0 gives:
% 250.98/42.90 | (365) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1253_0 &
% 250.98/42.90 | $i(all_1253_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 250.98/42.90 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 250.98/42.90 | $i(v0) | ? [v3: any] : ? [v4: any] :
% 250.98/42.90 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1253_0,
% 250.98/42.90 | v2) = v4 & class_RealVector_Oreal__normed__vector(v1) = v3 & (
% 250.98/42.90 | ~ (v3 = 0) | v4 = 0)))
% 250.98/42.90 |
% 250.98/42.90 | ALPHA: (365) implies:
% 250.98/42.90 | (366) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1253_0
% 250.98/42.90 | (367) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 250.98/42.90 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 250.98/42.90 | $i(v0) | ? [v3: any] : ? [v4: any] :
% 250.98/42.90 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1253_0,
% 250.98/42.90 | v2) = v4 & class_RealVector_Oreal__normed__vector(v1) = v3 & (
% 250.98/42.90 | ~ (v3 = 0) | v4 = 0)))
% 250.98/42.90 |
% 250.98/42.90 | DELTA: instantiating (161) with fresh symbol all_1259_0 gives:
% 250.98/42.90 | (368) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1259_0 &
% 250.98/42.90 | $i(all_1259_0) & ! [v0: any] : ! [v1: $i] : (v0 = all_1259_0 | ~
% 250.98/42.90 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0, v0) = v1) | ~
% 250.98/42.90 | $i(v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.98/42.90 | all_1259_0, v1) = 0) & ! [v0: $i] : ( ~
% 250.98/42.90 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1259_0,
% 250.98/42.90 | all_1259_0) = v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 250.98/42.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1259_0, v0) =
% 250.98/42.90 | v1))
% 250.98/42.90 |
% 250.98/42.90 | ALPHA: (368) implies:
% 250.98/42.90 | (369) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1259_0
% 250.98/42.90 |
% 250.98/42.90 | DELTA: instantiating (60) with fresh symbols all_1262_0, all_1262_1,
% 250.98/42.90 | all_1262_2, all_1262_3 gives:
% 250.98/42.90 | (370) ~ (all_1262_0 = all_1262_1) & c_Int_OBit1(c_Int_OPls) = all_1262_3 &
% 250.98/42.90 | c_Int_OBit0(all_1262_3) = all_1262_2 &
% 250.98/42.90 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1262_2) =
% 250.98/42.90 | all_1262_1 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.90 | c_Transcendental_Opi, all_1262_1) = all_1262_0 & $i(all_1262_0) &
% 250.98/42.90 | $i(all_1262_1) & $i(all_1262_2) & $i(all_1262_3)
% 250.98/42.90 |
% 250.98/42.90 | ALPHA: (370) implies:
% 250.98/42.91 | (371) $i(all_1262_0)
% 250.98/42.91 | (372) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.91 | c_Transcendental_Opi, all_1262_1) = all_1262_0
% 250.98/42.91 | (373) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1262_2) =
% 250.98/42.91 | all_1262_1
% 250.98/42.91 | (374) c_Int_OBit0(all_1262_3) = all_1262_2
% 250.98/42.91 | (375) c_Int_OBit1(c_Int_OPls) = all_1262_3
% 250.98/42.91 |
% 250.98/42.91 | DELTA: instantiating (111) with fresh symbols all_1264_0, all_1264_1,
% 250.98/42.91 | all_1264_2, all_1264_3 gives:
% 250.98/42.91 | (376) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1264_0,
% 250.98/42.91 | all_1264_1) = 0 & c_Int_OBit1(c_Int_OPls) = all_1264_3 &
% 250.98/42.91 | c_Int_OBit0(all_1264_3) = all_1264_2 &
% 250.98/42.91 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1264_2) =
% 250.98/42.91 | all_1264_1 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.91 | c_Transcendental_Opi, all_1264_1) = all_1264_0 & $i(all_1264_0) &
% 250.98/42.91 | $i(all_1264_1) & $i(all_1264_2) & $i(all_1264_3)
% 250.98/42.91 |
% 250.98/42.91 | ALPHA: (376) implies:
% 250.98/42.91 | (377) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.91 | c_Transcendental_Opi, all_1264_1) = all_1264_0
% 250.98/42.91 | (378) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1264_2) =
% 250.98/42.91 | all_1264_1
% 250.98/42.91 | (379) c_Int_OBit0(all_1264_3) = all_1264_2
% 250.98/42.91 | (380) c_Int_OBit1(c_Int_OPls) = all_1264_3
% 250.98/42.91 |
% 250.98/42.91 | DELTA: instantiating (118) with fresh symbols all_1266_0, all_1266_1,
% 250.98/42.91 | all_1266_2, all_1266_3 gives:
% 250.98/42.91 | (381) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1266_3,
% 250.98/42.91 | all_1266_0) = 0 & c_Int_OBit1(all_1266_2) = all_1266_1 &
% 250.98/42.91 | c_Int_OBit1(c_Int_OPls) = all_1266_2 &
% 250.98/42.91 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_1266_1) =
% 250.98/42.91 | all_1266_0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1266_3 &
% 250.98/42.91 | $i(all_1266_0) & $i(all_1266_1) & $i(all_1266_2) & $i(all_1266_3)
% 250.98/42.91 |
% 250.98/42.91 | ALPHA: (381) implies:
% 250.98/42.91 | (382) $i(all_1266_0)
% 250.98/42.91 | (383) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1266_3
% 250.98/42.91 | (384) c_Int_OBit1(c_Int_OPls) = all_1266_2
% 250.98/42.91 | (385) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1266_3,
% 250.98/42.91 | all_1266_0) = 0
% 250.98/42.91 |
% 250.98/42.91 | DELTA: instantiating (68) with fresh symbols all_1268_0, all_1268_1,
% 250.98/42.91 | all_1268_2 gives:
% 250.98/42.91 | (386) c_Int_OBit1(c_Int_OPls) = all_1268_2 & c_Int_OBit0(all_1268_2) =
% 250.98/42.91 | all_1268_1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 250.98/42.91 | all_1268_1) = all_1268_0 & $i(all_1268_0) & $i(all_1268_1) &
% 250.98/42.91 | $i(all_1268_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v0 |
% 250.98/42.91 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v1) = v2) |
% 250.98/42.91 | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0,
% 250.98/42.91 | all_1268_0) = v1) | ~ $i(v0))
% 250.98/42.91 |
% 250.98/42.91 | ALPHA: (386) implies:
% 250.98/42.91 | (387) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1268_1) =
% 250.98/42.91 | all_1268_0
% 250.98/42.91 | (388) c_Int_OBit0(all_1268_2) = all_1268_1
% 250.98/42.91 | (389) c_Int_OBit1(c_Int_OPls) = all_1268_2
% 250.98/42.91 |
% 250.98/42.91 | DELTA: instantiating (77) with fresh symbols all_1277_0, all_1277_1 gives:
% 250.98/42.91 | (390) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1277_0 &
% 250.98/42.91 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1277_1 &
% 250.98/42.91 | $i(all_1277_0) & $i(all_1277_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 250.98/42.91 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_1277_0, v0) = v1) |
% 250.98/42.91 | ~ $i(v0) | ? [v2: any] : ? [v3: any] :
% 250.98/42.91 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1277_1, v0) =
% 250.98/42.91 | v2 & c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1277_1, v1) =
% 250.98/42.91 | v3 & ( ~ (v2 = 0) | v3 = 0)))
% 250.98/42.91 |
% 250.98/42.91 | ALPHA: (390) implies:
% 250.98/42.91 | (391) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1277_1
% 250.98/42.91 | (392) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1277_0
% 250.98/42.91 |
% 250.98/42.91 | DELTA: instantiating (65) with fresh symbols all_1283_0, all_1283_1,
% 250.98/42.91 | all_1283_2, all_1283_3, all_1283_4 gives:
% 250.98/42.91 | (393) c_Int_OBit1(c_Int_OPls) = all_1283_3 & c_Int_OBit0(all_1283_3) =
% 250.98/42.91 | all_1283_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 250.98/42.91 | all_1283_2) = all_1283_1 &
% 250.98/42.91 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.91 | c_Transcendental_Opi, all_1283_1) = all_1283_0 &
% 250.98/42.91 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1283_4 &
% 250.98/42.91 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1283_4,
% 250.98/42.91 | all_1283_0) = 0 & $i(all_1283_0) & $i(all_1283_1) & $i(all_1283_2)
% 250.98/42.91 | & $i(all_1283_3) & $i(all_1283_4)
% 250.98/42.91 |
% 250.98/42.91 | ALPHA: (393) implies:
% 250.98/42.91 | (394) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1283_4
% 250.98/42.91 | (395) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.91 | c_Transcendental_Opi, all_1283_1) = all_1283_0
% 250.98/42.91 | (396) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1283_2) =
% 250.98/42.91 | all_1283_1
% 250.98/42.91 | (397) c_Int_OBit0(all_1283_3) = all_1283_2
% 250.98/42.91 | (398) c_Int_OBit1(c_Int_OPls) = all_1283_3
% 250.98/42.91 |
% 250.98/42.91 | DELTA: instantiating (105) with fresh symbols all_1285_0, all_1285_1,
% 250.98/42.91 | all_1285_2, all_1285_3, all_1285_4 gives:
% 250.98/42.91 | (399) c_Nat_OSuc(all_1285_3) = all_1285_2 & c_Nat_OSuc(all_1285_4) =
% 250.98/42.91 | all_1285_3 & c_Int_OBit1(c_Int_OPls) = all_1285_1 &
% 250.98/42.91 | c_Int_OBit0(all_1285_1) = all_1285_0 &
% 250.98/42.91 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1285_0) =
% 250.98/42.91 | all_1285_2 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1285_4 &
% 250.98/42.91 | $i(all_1285_0) & $i(all_1285_1) & $i(all_1285_2) & $i(all_1285_3) &
% 250.98/42.91 | $i(all_1285_4)
% 250.98/42.91 |
% 250.98/42.91 | ALPHA: (399) implies:
% 250.98/42.91 | (400) c_Int_OBit0(all_1285_1) = all_1285_0
% 250.98/42.91 | (401) c_Int_OBit1(c_Int_OPls) = all_1285_1
% 250.98/42.91 |
% 250.98/42.91 | DELTA: instantiating (62) with fresh symbols all_1290_0, all_1290_1,
% 250.98/42.91 | all_1290_2, all_1290_3, all_1290_4 gives:
% 250.98/42.91 | (402) ~ (all_1290_0 = all_1290_1) & c_Int_OBit1(c_Int_OPls) = all_1290_4 &
% 250.98/42.91 | c_Int_OBit0(all_1290_4) = all_1290_3 &
% 250.98/42.91 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1290_3) =
% 250.98/42.91 | all_1290_2 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.91 | c_Transcendental_Opi, all_1290_2) = all_1290_1 &
% 250.98/42.91 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1290_0 &
% 250.98/42.91 | $i(all_1290_0) & $i(all_1290_1) & $i(all_1290_2) & $i(all_1290_3) &
% 250.98/42.91 | $i(all_1290_4)
% 250.98/42.91 |
% 250.98/42.91 | ALPHA: (402) implies:
% 250.98/42.91 | (403) ~ (all_1290_0 = all_1290_1)
% 250.98/42.91 | (404) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1290_0
% 250.98/42.91 | (405) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.91 | c_Transcendental_Opi, all_1290_2) = all_1290_1
% 250.98/42.91 | (406) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1290_3) =
% 250.98/42.91 | all_1290_2
% 250.98/42.91 | (407) c_Int_OBit0(all_1290_4) = all_1290_3
% 250.98/42.91 | (408) c_Int_OBit1(c_Int_OPls) = all_1290_4
% 250.98/42.91 |
% 250.98/42.91 | DELTA: instantiating (21) with fresh symbol all_1295_0 gives:
% 250.98/42.91 | (409) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1295_0 &
% 250.98/42.91 | $i(all_1295_0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 250.98/42.91 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_1295_0) = v1) |
% 250.98/42.91 | ~ $i(v0) | c_Groups_Oabs__class_Oabs(tc_Int_Oint, v0) = v0) & !
% 250.98/42.91 | [v0: $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0,
% 250.98/42.91 | all_1295_0) = 0) | ~ $i(v0) | ? [v1: $i] :
% 250.98/42.91 | (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v1 &
% 250.98/42.91 | c_Groups_Oabs__class_Oabs(tc_Int_Oint, v0) = v1 & $i(v1)))
% 250.98/42.91 |
% 250.98/42.91 | ALPHA: (409) implies:
% 250.98/42.91 | (410) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1295_0
% 250.98/42.91 |
% 250.98/42.91 | DELTA: instantiating (178) with fresh symbols all_1298_0, all_1298_1,
% 250.98/42.91 | all_1298_2, all_1298_3, all_1298_4 gives:
% 250.98/42.91 | (411) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1298_2,
% 250.98/42.91 | c_Transcendental_Opi) = all_1298_1 & c_Int_OBit1(c_Int_OPls) =
% 250.98/42.91 | all_1298_4 & c_Int_OBit0(all_1298_4) = all_1298_3 &
% 250.98/42.91 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1298_3) =
% 250.98/42.91 | all_1298_2 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 250.98/42.91 | all_1298_1) = all_1298_0 &
% 250.98/42.91 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1298_0,
% 250.98/42.91 | c_Transcendental_Opi) = 0 & $i(all_1298_0) & $i(all_1298_1) &
% 250.98/42.91 | $i(all_1298_2) & $i(all_1298_3) & $i(all_1298_4)
% 250.98/42.91 |
% 250.98/42.91 | ALPHA: (411) implies:
% 250.98/42.91 | (412) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1298_3) =
% 250.98/42.91 | all_1298_2
% 250.98/42.91 | (413) c_Int_OBit0(all_1298_4) = all_1298_3
% 250.98/42.91 | (414) c_Int_OBit1(c_Int_OPls) = all_1298_4
% 250.98/42.91 |
% 250.98/42.91 | DELTA: instantiating (6) with fresh symbol all_1300_0 gives:
% 250.98/42.91 | (415) c_Int_OBit1(c_Int_OPls) = all_1300_0 & $i(all_1300_0) & ! [v0: $i] :
% 250.98/42.91 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 250.98/42.91 | (c_Int_Onumber__class_Onumber__of(v1, all_1300_0) = v2) | ~
% 250.98/42.91 | (c_Rings_Oinverse__class_Odivide(v1, v0, v2) = v3) | ~ $i(v1) | ~
% 250.98/42.91 | $i(v0) | ? [v4: any] : ? [v5: any] : (class_Fields_Ofield(v1) =
% 250.98/42.91 | v4 & class_Int_Onumber__ring(v1) = v5 & ( ~ (v5 = 0) | ~ (v4 =
% 250.98/42.91 | 0))))
% 250.98/42.91 |
% 250.98/42.91 | ALPHA: (415) implies:
% 250.98/42.91 | (416) c_Int_OBit1(c_Int_OPls) = all_1300_0
% 250.98/42.91 |
% 250.98/42.91 | DELTA: instantiating (6) with fresh symbol all_1303_0 gives:
% 250.98/42.91 | (417) c_Int_OBit1(c_Int_OPls) = all_1303_0 & $i(all_1303_0) & ! [v0: $i] :
% 250.98/42.91 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 250.98/42.91 | (c_Int_Onumber__class_Onumber__of(v1, all_1303_0) = v2) | ~
% 250.98/42.91 | (c_Rings_Oinverse__class_Odivide(v1, v0, v2) = v3) | ~ $i(v1) | ~
% 250.98/42.91 | $i(v0) | ? [v4: any] : ? [v5: any] : (class_Fields_Ofield(v1) =
% 250.98/42.91 | v4 & class_Int_Onumber__ring(v1) = v5 & ( ~ (v5 = 0) | ~ (v4 =
% 250.98/42.91 | 0))))
% 250.98/42.91 |
% 250.98/42.91 | ALPHA: (417) implies:
% 250.98/42.91 | (418) c_Int_OBit1(c_Int_OPls) = all_1303_0
% 250.98/42.91 |
% 250.98/42.91 | DELTA: instantiating (112) with fresh symbols all_1306_0, all_1306_1,
% 250.98/42.91 | all_1306_2, all_1306_3, all_1306_4 gives:
% 250.98/42.91 | (419) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1306_4,
% 250.98/42.91 | all_1306_0) = 0 & c_Int_OBit1(c_Int_OPls) = all_1306_3 &
% 250.98/42.91 | c_Int_OBit0(all_1306_3) = all_1306_2 &
% 250.98/42.91 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1306_2) =
% 250.98/42.91 | all_1306_1 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.91 | c_Transcendental_Opi, all_1306_1) = all_1306_0 &
% 250.98/42.91 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1306_4 &
% 250.98/42.91 | $i(all_1306_0) & $i(all_1306_1) & $i(all_1306_2) & $i(all_1306_3) &
% 250.98/42.91 | $i(all_1306_4)
% 250.98/42.91 |
% 250.98/42.91 | ALPHA: (419) implies:
% 250.98/42.91 | (420) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1306_4
% 250.98/42.91 | (421) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.91 | c_Transcendental_Opi, all_1306_1) = all_1306_0
% 250.98/42.91 | (422) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1306_2) =
% 250.98/42.91 | all_1306_1
% 250.98/42.91 | (423) c_Int_OBit0(all_1306_3) = all_1306_2
% 250.98/42.91 | (424) c_Int_OBit1(c_Int_OPls) = all_1306_3
% 250.98/42.91 | (425) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1306_4,
% 250.98/42.91 | all_1306_0) = 0
% 250.98/42.91 |
% 250.98/42.91 | DELTA: instantiating (106) with fresh symbols all_1311_0, all_1311_1,
% 250.98/42.91 | all_1311_2, all_1311_3, all_1311_4 gives:
% 250.98/42.91 | (426) c_Nat_OSuc(all_1311_0) = all_1311_2 & c_Nat_OSuc(all_1311_1) =
% 250.98/42.91 | all_1311_0 & c_Int_OBit1(c_Int_OPls) = all_1311_4 &
% 250.98/42.91 | c_Int_OBit0(all_1311_4) = all_1311_3 &
% 250.98/42.91 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1311_3) =
% 250.98/42.91 | all_1311_2 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1311_1 &
% 250.98/42.91 | $i(all_1311_0) & $i(all_1311_1) & $i(all_1311_2) & $i(all_1311_3) &
% 250.98/42.91 | $i(all_1311_4)
% 250.98/42.91 |
% 250.98/42.91 | ALPHA: (426) implies:
% 250.98/42.91 | (427) c_Int_OBit0(all_1311_4) = all_1311_3
% 250.98/42.91 | (428) c_Int_OBit1(c_Int_OPls) = all_1311_4
% 250.98/42.91 |
% 250.98/42.91 | DELTA: instantiating (52) with fresh symbol all_1313_0 gives:
% 250.98/42.91 | (429) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1313_0 &
% 250.98/42.91 | $i(all_1313_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 =
% 250.98/42.91 | all_1313_0 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0,
% 250.98/42.91 | v1) = v2) | ~
% 250.98/42.91 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) = v1) | ~
% 250.98/42.91 | $i(v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 250.98/42.91 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v2) =
% 250.98/42.91 | all_1313_0) | ~
% 250.98/42.91 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) = v2) | ~
% 250.98/42.91 | $i(v1) | ~ $i(v0))
% 250.98/42.91 |
% 250.98/42.91 | ALPHA: (429) implies:
% 250.98/42.91 | (430) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1313_0
% 250.98/42.91 |
% 250.98/42.91 | DELTA: instantiating (19) with fresh symbol all_1316_0 gives:
% 250.98/42.91 | (431) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1316_0 &
% 250.98/42.91 | $i(all_1316_0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 250.98/42.91 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1316_0) =
% 250.98/42.91 | v1) | ~ $i(v0) | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0)
% 250.98/42.91 | = v0) & ! [v0: $i] : ( ~
% 250.98/42.91 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1316_0) =
% 250.98/42.91 | 0) | ~ $i(v0) | ? [v1: $i] :
% 250.98/42.91 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) = v1 &
% 250.98/42.91 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v1 & $i(v1)))
% 250.98/42.91 |
% 250.98/42.91 | ALPHA: (431) implies:
% 250.98/42.91 | (432) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1316_0
% 250.98/42.91 |
% 250.98/42.91 | DELTA: instantiating (19) with fresh symbol all_1319_0 gives:
% 250.98/42.91 | (433) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1319_0 &
% 250.98/42.91 | $i(all_1319_0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 250.98/42.91 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1319_0) =
% 250.98/42.91 | v1) | ~ $i(v0) | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0)
% 250.98/42.91 | = v0) & ! [v0: $i] : ( ~
% 250.98/42.91 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1319_0) =
% 250.98/42.91 | 0) | ~ $i(v0) | ? [v1: $i] :
% 250.98/42.91 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) = v1 &
% 250.98/42.91 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v1 & $i(v1)))
% 250.98/42.91 |
% 250.98/42.91 | ALPHA: (433) implies:
% 250.98/42.91 | (434) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1319_0
% 250.98/42.91 |
% 250.98/42.91 | DELTA: instantiating (142) with fresh symbols all_1322_0, all_1322_1,
% 250.98/42.91 | all_1322_2, all_1322_3 gives:
% 250.98/42.91 | (435) c_Int_OBit1(c_Int_OPls) = all_1322_3 & c_Int_OBit0(all_1322_3) =
% 250.98/42.91 | all_1322_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 250.98/42.91 | all_1322_2) = all_1322_1 &
% 250.98/42.91 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.91 | c_Transcendental_Opi, all_1322_1) = all_1322_0 & $i(all_1322_0) &
% 250.98/42.91 | $i(all_1322_1) & $i(all_1322_2) & $i(all_1322_3) & ! [v0: $i] : !
% 250.98/42.91 | [v1: $i] : ( ~ (c_Transcendental_Oarctan(v0) = v1) | ~ $i(v0) |
% 250.98/42.91 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1322_0) =
% 250.98/42.91 | 0)
% 250.98/42.91 |
% 250.98/42.91 | ALPHA: (435) implies:
% 250.98/42.91 | (436) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.91 | c_Transcendental_Opi, all_1322_1) = all_1322_0
% 250.98/42.91 | (437) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1322_2) =
% 250.98/42.91 | all_1322_1
% 250.98/42.91 | (438) c_Int_OBit0(all_1322_3) = all_1322_2
% 250.98/42.91 | (439) c_Int_OBit1(c_Int_OPls) = all_1322_3
% 250.98/42.91 |
% 250.98/42.91 | DELTA: instantiating (76) with fresh symbols all_1328_0, all_1328_1 gives:
% 250.98/42.91 | (440) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1328_0 &
% 250.98/42.91 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1328_1 &
% 250.98/42.91 | $i(all_1328_0) & $i(all_1328_1) & ! [v0: any] : ! [v1: $i] : (v0 =
% 250.98/42.91 | all_1328_0 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1) | ~ $i(v0)
% 250.98/42.91 | | ? [v2: int] : ( ~ (v2 = 0) &
% 250.98/42.91 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 250.98/42.91 | all_1328_1) = v2)) & ! [v0: $i] : ( ~
% 250.98/42.91 | (c_RealDef_Oreal(tc_Nat_Onat, all_1328_0) = v0) |
% 250.98/42.91 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, all_1328_1)
% 250.98/42.91 | = 0)
% 250.98/42.91 |
% 250.98/42.91 | ALPHA: (440) implies:
% 250.98/42.91 | (441) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1328_1
% 250.98/42.91 |
% 250.98/42.91 | DELTA: instantiating (188) with fresh symbol all_1337_0 gives:
% 250.98/42.91 | (442) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1337_0 & $i(all_1337_0)
% 250.98/42.91 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 250.98/42.91 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1, v0) = v2) | ~
% 250.98/42.91 | $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] :
% 250.98/42.91 | (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v2) = v3 &
% 250.98/42.91 | c_Groups_Oabs__class_Oabs(tc_Int_Oint, v1) = v4 & $i(v4) & $i(v3)
% 250.98/42.91 | & ( ~ (v3 = all_1337_0) | v4 = all_1337_0)))
% 250.98/42.91 |
% 250.98/42.91 | ALPHA: (442) implies:
% 250.98/42.91 | (443) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1337_0
% 250.98/42.91 |
% 250.98/42.91 | DELTA: instantiating (43) with fresh symbols all_1343_0, all_1343_1 gives:
% 250.98/42.91 | (444) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1343_1 &
% 250.98/42.91 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1343_0 &
% 250.98/42.91 | $i(all_1343_0) & $i(all_1343_1) & ! [v0: any] : ! [v1: $i] : (v0 =
% 250.98/42.91 | all_1343_0 | ~ (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v0) = v1) |
% 250.98/42.91 | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 250.98/42.91 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, all_1343_1) = v2))
% 250.98/42.91 | & ! [v0: $i] : ( ~ (c_Groups_Oabs__class_Oabs(tc_Int_Oint,
% 250.98/42.91 | all_1343_0) = v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 250.98/42.91 | v0, all_1343_1) = 0)
% 250.98/42.91 |
% 250.98/42.91 | ALPHA: (444) implies:
% 250.98/42.91 | (445) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1343_0
% 250.98/42.91 | (446) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1343_1
% 250.98/42.91 |
% 250.98/42.91 | DELTA: instantiating (165) with fresh symbol all_1349_0 gives:
% 250.98/42.91 | (447) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1349_0 &
% 250.98/42.91 | $i(all_1349_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ! [v3:
% 250.98/42.91 | $i] : ! [v4: $i] : (v2 = all_1349_0 | ~
% 250.98/42.91 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 250.98/42.91 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v0) = v4) | ~
% 250.98/42.91 | $i(v2) | ~ $i(v1) | ~ $i(v0) | (( ~ (v4 = v3) | v1 = v0) & ( ~
% 250.98/42.91 | (v1 = v0) | v4 = v3)))
% 250.98/42.92 |
% 250.98/42.92 | ALPHA: (447) implies:
% 250.98/42.92 | (448) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1349_0
% 250.98/42.92 |
% 250.98/42.92 | DELTA: instantiating (84) with fresh symbols all_1352_0, all_1352_1,
% 250.98/42.92 | all_1352_2 gives:
% 250.98/42.92 | (449) c_Int_OBit1(c_Int_OPls) = all_1352_2 & c_Int_OBit0(all_1352_2) =
% 250.98/42.92 | all_1352_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 250.98/42.92 | all_1352_1) = all_1352_0 & $i(all_1352_0) & $i(all_1352_1) &
% 250.98/42.92 | $i(all_1352_2) & ! [v0: $i] : ! [v1: $i] : ( ~
% 250.98/42.92 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, all_1352_0) = v1) |
% 250.98/42.92 | ~ $i(v0) | ? [v2: $i] : (c_Nat_OSuc(v2) = v1 & c_Nat_OSuc(v0) = v2
% 250.98/42.92 | & $i(v2) & $i(v1)))
% 250.98/42.92 |
% 250.98/42.92 | ALPHA: (449) implies:
% 250.98/42.92 | (450) c_Int_OBit0(all_1352_2) = all_1352_1
% 250.98/42.92 | (451) c_Int_OBit1(c_Int_OPls) = all_1352_2
% 250.98/42.92 |
% 250.98/42.92 | DELTA: instantiating (167) with fresh symbol all_1355_0 gives:
% 250.98/42.92 | (452) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1355_0 &
% 250.98/42.92 | $i(all_1355_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 250.98/42.92 | $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v1)
% 250.98/42.92 | = v2) | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0,
% 250.98/42.92 | v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 250.98/42.92 | v2, v3) = all_1355_0) | ~ $i(v1) | ~ $i(v0) | (v1 =
% 250.98/42.92 | all_1355_0 & v0 = all_1355_0)) & ! [v0: $i] : ! [v1: int] : (v1
% 250.98/42.92 | = all_1355_0 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,
% 250.98/42.92 | all_1355_0, all_1355_0) = v0) | ~
% 250.98/42.92 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v0) = v1))
% 250.98/42.92 |
% 250.98/42.92 | ALPHA: (452) implies:
% 250.98/42.92 | (453) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1355_0
% 250.98/42.92 |
% 250.98/42.92 | DELTA: instantiating (172) with fresh symbol all_1358_0 gives:
% 250.98/42.92 | (454) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1358_0 &
% 250.98/42.92 | $i(all_1358_0) & ! [v0: $i] : ! [v1: any] : ! [v2: $i] : ! [v3:
% 250.98/42.92 | $i] : ! [v4: $i] : ! [v5: $i] : (v1 = all_1358_0 | ~
% 250.98/42.92 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v4) = v5) | ~
% 250.98/42.92 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v5) = 0) |
% 250.98/42.92 | ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v3) | ~
% 250.98/42.92 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v4) | ~ $i(v2)
% 250.98/42.92 | | ~ $i(v1) | ~ $i(v0) | ? [v6: int] : ( ~ (v6 = 0) &
% 250.98/42.92 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 250.98/42.92 | all_1358_0) = v6))
% 250.98/42.92 |
% 250.98/42.92 | ALPHA: (454) implies:
% 250.98/42.92 | (455) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1358_0
% 250.98/42.92 |
% 250.98/42.92 | DELTA: instantiating (166) with fresh symbol all_1361_0 gives:
% 250.98/42.92 | (456) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1361_0 &
% 250.98/42.92 | $i(all_1361_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ! [v3:
% 250.98/42.92 | $i] : ! [v4: $i] : (v2 = all_1361_0 | ~
% 250.98/42.92 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v2) = v3) | ~
% 250.98/42.92 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0, v2) = v4) | ~
% 250.98/42.92 | $i(v2) | ~ $i(v1) | ~ $i(v0) | (( ~ (v4 = v3) | v1 = v0) & ( ~
% 250.98/42.92 | (v1 = v0) | v4 = v3)))
% 250.98/42.92 |
% 250.98/42.92 | ALPHA: (456) implies:
% 250.98/42.92 | (457) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1361_0
% 250.98/42.92 |
% 250.98/42.92 | DELTA: instantiating (85) with fresh symbols all_1364_0, all_1364_1,
% 250.98/42.92 | all_1364_2 gives:
% 250.98/42.92 | (458) c_Int_OBit1(c_Int_OPls) = all_1364_2 & c_Int_OBit0(all_1364_2) =
% 250.98/42.92 | all_1364_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 250.98/42.92 | all_1364_1) = all_1364_0 & $i(all_1364_0) & $i(all_1364_1) &
% 250.98/42.92 | $i(all_1364_2) & ! [v0: $i] : ! [v1: $i] : ( ~
% 250.98/42.92 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_1364_0, v0) = v1) |
% 250.98/42.92 | ~ $i(v0) | ? [v2: $i] : (c_Nat_OSuc(v2) = v1 & c_Nat_OSuc(v0) = v2
% 250.98/42.92 | & $i(v2) & $i(v1)))
% 250.98/42.92 |
% 250.98/42.92 | ALPHA: (458) implies:
% 250.98/42.92 | (459) c_Int_OBit0(all_1364_2) = all_1364_1
% 250.98/42.92 | (460) c_Int_OBit1(c_Int_OPls) = all_1364_2
% 250.98/42.92 |
% 250.98/42.92 | DELTA: instantiating (90) with fresh symbols all_1367_0, all_1367_1 gives:
% 250.98/42.92 | (461) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1367_1 &
% 250.98/42.92 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1367_0 &
% 250.98/42.92 | $i(all_1367_0) & $i(all_1367_1) & ! [v0: $i] : ! [v1: int] : (v1 =
% 250.98/42.92 | 0 | ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1367_1,
% 250.98/42.92 | v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 250.98/42.92 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1367_0, v0) = v2))
% 250.98/42.92 | & ! [v0: $i] : ( ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 250.98/42.92 | all_1367_1, v0) = 0) | ~ $i(v0) |
% 250.98/42.92 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1367_0, v0) = 0)
% 250.98/42.92 |
% 250.98/42.92 | ALPHA: (461) implies:
% 250.98/42.92 | (462) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1367_0
% 250.98/42.92 | (463) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1367_1
% 250.98/42.92 |
% 250.98/42.92 | DELTA: instantiating (164) with fresh symbol all_1373_0 gives:
% 250.98/42.92 | (464) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1373_0 &
% 250.98/42.92 | $i(all_1373_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 250.98/42.92 | $i] : ! [v4: $i] : ! [v5: int] : (v5 = 0 | ~
% 250.98/42.92 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 250.98/42.92 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v0) = v4) | ~
% 250.98/42.92 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v4) = v5) | ~
% 250.98/42.92 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 250.98/42.92 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) = v7 &
% 250.98/42.92 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1373_0, v2) =
% 250.98/42.92 | v6 & ( ~ (v7 = 0) | ~ (v6 = 0))))
% 250.98/42.92 |
% 250.98/42.92 | ALPHA: (464) implies:
% 250.98/42.92 | (465) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1373_0
% 250.98/42.92 |
% 250.98/42.92 | DELTA: instantiating (50) with fresh symbols all_1376_0, all_1376_1 gives:
% 250.98/42.92 | (466) c_Int_OBit1(c_Int_OPls) = all_1376_1 & c_Int_OBit0(all_1376_1) =
% 250.98/42.92 | all_1376_0 & $i(all_1376_0) & $i(all_1376_1) & ! [v0: $i] : ! [v1:
% 250.98/42.92 | $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v0, all_1376_0) = v1) |
% 250.98/42.92 | ~ $i(v0) | ? [v2: any] : ? [v3: $i] : ? [v4: $i] :
% 250.98/42.92 | (c_Groups_Oone__class_Oone(v0) = v3 &
% 250.98/42.92 | c_Groups_Oplus__class_Oplus(v0, v3, v3) = v4 &
% 250.98/42.92 | class_Int_Onumber__ring(v0) = v2 & $i(v4) & $i(v3) & ( ~ (v2 = 0)
% 250.98/42.92 | | v4 = v1)))
% 250.98/42.92 |
% 250.98/42.92 | ALPHA: (466) implies:
% 250.98/42.92 | (467) c_Int_OBit0(all_1376_1) = all_1376_0
% 250.98/42.92 | (468) c_Int_OBit1(c_Int_OPls) = all_1376_1
% 250.98/42.92 |
% 250.98/42.92 | DELTA: instantiating (34) with fresh symbols all_1379_0, all_1379_1,
% 250.98/42.92 | all_1379_2, all_1379_3, all_1379_4, all_1379_5 gives:
% 250.98/42.92 | (469) c_Int_OBit1(c_Int_OPls) = all_1379_5 & c_Int_OBit0(all_1379_5) =
% 250.98/42.92 | all_1379_4 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 250.98/42.92 | all_1379_4) = all_1379_3 &
% 250.98/42.92 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.92 | c_Transcendental_Opi, all_1379_3) = all_1379_2 &
% 250.98/42.92 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1379_0 &
% 250.98/42.92 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1379_2) =
% 250.98/42.92 | all_1379_1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.98/42.92 | all_1379_1, all_1379_0) = 0 & $i(all_1379_0) & $i(all_1379_1) &
% 250.98/42.92 | $i(all_1379_2) & $i(all_1379_3) & $i(all_1379_4) & $i(all_1379_5)
% 250.98/42.92 |
% 250.98/42.92 | ALPHA: (469) implies:
% 250.98/42.92 | (470) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1379_0
% 250.98/42.92 | (471) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.92 | c_Transcendental_Opi, all_1379_3) = all_1379_2
% 250.98/42.92 | (472) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1379_4) =
% 250.98/42.92 | all_1379_3
% 250.98/42.92 | (473) c_Int_OBit0(all_1379_5) = all_1379_4
% 250.98/42.92 | (474) c_Int_OBit1(c_Int_OPls) = all_1379_5
% 250.98/42.92 |
% 250.98/42.92 | DELTA: instantiating (179) with fresh symbols all_1381_0, all_1381_1,
% 250.98/42.92 | all_1381_2, all_1381_3 gives:
% 250.98/42.92 | (475) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1381_1,
% 250.98/42.92 | c_Transcendental_Opi) = all_1381_0 & c_Int_OBit1(c_Int_OPls) =
% 250.98/42.92 | all_1381_3 & c_Int_OBit0(all_1381_3) = all_1381_2 &
% 250.98/42.92 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1381_2) =
% 250.98/42.92 | all_1381_1 & $i(all_1381_0) & $i(all_1381_1) & $i(all_1381_2) &
% 250.98/42.92 | $i(all_1381_3) & ! [v0: $i] : ! [v1: $i] : ( ~
% 250.98/42.92 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, all_1381_0) =
% 250.98/42.92 | v1) | ~ $i(v0) | ? [v2: $i] : (c_Transcendental_Otan(v1) = v2 &
% 250.98/42.92 | c_Transcendental_Otan(v0) = v2 & $i(v2)))
% 250.98/42.92 |
% 250.98/42.92 | ALPHA: (475) implies:
% 250.98/42.92 | (476) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1381_2) =
% 250.98/42.92 | all_1381_1
% 250.98/42.92 | (477) c_Int_OBit0(all_1381_3) = all_1381_2
% 250.98/42.92 | (478) c_Int_OBit1(c_Int_OPls) = all_1381_3
% 250.98/42.92 |
% 250.98/42.92 | DELTA: instantiating (139) with fresh symbols all_1390_0, all_1390_1,
% 250.98/42.92 | all_1390_2, all_1390_3, all_1390_4 gives:
% 250.98/42.92 | (479) c_Int_OBit1(c_Int_OPls) = all_1390_4 & c_Int_OBit0(all_1390_4) =
% 250.98/42.92 | all_1390_3 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 250.98/42.92 | all_1390_3) = all_1390_2 &
% 250.98/42.92 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.92 | c_Transcendental_Opi, all_1390_2) = all_1390_1 &
% 250.98/42.92 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1390_1) =
% 250.98/42.92 | all_1390_0 & $i(all_1390_0) & $i(all_1390_1) & $i(all_1390_2) &
% 250.98/42.92 | $i(all_1390_3) & $i(all_1390_4) & ! [v0: $i] : ! [v1: $i] : ( ~
% 250.98/42.92 | (c_Transcendental_Oarctan(v0) = v1) | ~ $i(v0) |
% 250.98/42.92 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1390_0, v1) =
% 250.98/42.92 | 0)
% 250.98/42.92 |
% 250.98/42.92 | ALPHA: (479) implies:
% 250.98/42.92 | (480) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.92 | c_Transcendental_Opi, all_1390_2) = all_1390_1
% 250.98/42.92 | (481) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1390_3) =
% 250.98/42.92 | all_1390_2
% 250.98/42.92 | (482) c_Int_OBit0(all_1390_4) = all_1390_3
% 250.98/42.92 | (483) c_Int_OBit1(c_Int_OPls) = all_1390_4
% 250.98/42.92 |
% 250.98/42.92 | DELTA: instantiating (176) with fresh symbols all_1393_0, all_1393_1 gives:
% 250.98/42.92 | (484) c_Int_OBit1(c_Int_OPls) = all_1393_1 & c_Int_OBit0(all_1393_1) =
% 250.98/42.92 | all_1393_0 & $i(all_1393_0) & $i(all_1393_1) & ! [v0: $i] : ! [v1:
% 250.98/42.92 | $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 250.98/42.92 | (c_Groups_Otimes__class_Otimes(v1, v2, v0) = v3) | ~
% 250.98/42.92 | (c_Int_Onumber__class_Onumber__of(v1, all_1393_0) = v2) | ~ $i(v1)
% 250.98/42.92 | | ~ $i(v0) | ? [v4: any] : ? [v5: $i] :
% 250.98/42.92 | (c_Groups_Oplus__class_Oplus(v1, v0, v0) = v5 &
% 250.98/42.92 | class_Int_Onumber__ring(v1) = v4 & $i(v5) & ( ~ (v4 = 0) | v5 =
% 250.98/42.92 | v3)))
% 250.98/42.92 |
% 250.98/42.92 | ALPHA: (484) implies:
% 250.98/42.92 | (485) c_Int_OBit0(all_1393_1) = all_1393_0
% 250.98/42.92 | (486) c_Int_OBit1(c_Int_OPls) = all_1393_1
% 250.98/42.92 |
% 250.98/42.92 | DELTA: instantiating (143) with fresh symbols all_1396_0, all_1396_1,
% 250.98/42.92 | all_1396_2, all_1396_3, all_1396_4, all_1396_5 gives:
% 250.98/42.92 | (487) c_Transcendental_Oarctan(all_1396_5) = all_1396_4 &
% 250.98/42.92 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1396_5 &
% 250.98/42.92 | c_Int_OBit1(c_Int_OPls) = all_1396_3 & c_Int_OBit0(all_1396_2) =
% 250.98/42.92 | all_1396_1 & c_Int_OBit0(all_1396_3) = all_1396_2 &
% 250.98/42.92 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1396_1) =
% 250.98/42.92 | all_1396_0 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.92 | c_Transcendental_Opi, all_1396_0) = all_1396_4 & $i(all_1396_0) &
% 250.98/42.92 | $i(all_1396_1) & $i(all_1396_2) & $i(all_1396_3) & $i(all_1396_4) &
% 250.98/42.92 | $i(all_1396_5)
% 250.98/42.92 |
% 250.98/42.92 | ALPHA: (487) implies:
% 250.98/42.92 | (488) c_Int_OBit0(all_1396_3) = all_1396_2
% 250.98/42.92 | (489) c_Int_OBit1(c_Int_OPls) = all_1396_3
% 250.98/42.92 |
% 250.98/42.92 | DELTA: instantiating (102) with fresh symbols all_1398_0, all_1398_1,
% 250.98/42.92 | all_1398_2, all_1398_3, all_1398_4, all_1398_5 gives:
% 250.98/42.92 | (490) c_Nat_OSuc(all_1398_0) = all_1398_3 & c_Nat_OSuc(all_1398_1) =
% 250.98/42.92 | all_1398_0 & c_Nat_OSuc(all_1398_2) = all_1398_1 &
% 250.98/42.92 | c_Int_OBit1(all_1398_5) = all_1398_4 & c_Int_OBit1(c_Int_OPls) =
% 250.98/42.92 | all_1398_5 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 250.98/42.92 | all_1398_4) = all_1398_3 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 250.98/42.92 | = all_1398_2 & $i(all_1398_0) & $i(all_1398_1) & $i(all_1398_2) &
% 250.98/42.92 | $i(all_1398_3) & $i(all_1398_4) & $i(all_1398_5)
% 250.98/42.92 |
% 250.98/42.92 | ALPHA: (490) implies:
% 250.98/42.92 | (491) c_Int_OBit1(c_Int_OPls) = all_1398_5
% 250.98/42.92 |
% 250.98/42.92 | DELTA: instantiating (51) with fresh symbol all_1400_0 gives:
% 250.98/42.92 | (492) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1400_0 &
% 250.98/42.92 | $i(all_1400_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 =
% 250.98/42.92 | all_1400_0 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1,
% 250.98/42.92 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ( ~ (v3 = v0)
% 250.98/42.92 | & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3 &
% 250.98/42.92 | $i(v3))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 250.98/42.92 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) =
% 250.98/42.92 | all_1400_0) | ~ $i(v1) | ~ $i(v0) |
% 250.98/42.92 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v0)
% 250.98/42.92 |
% 250.98/42.92 | ALPHA: (492) implies:
% 250.98/42.92 | (493) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1400_0
% 250.98/42.92 |
% 250.98/42.92 | DELTA: instantiating (186) with fresh symbol all_1406_0 gives:
% 250.98/42.92 | (494) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1406_0 &
% 250.98/42.92 | $i(all_1406_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 250.98/42.92 | $i] : ! [v4: $i] : ! [v5: int] : (v5 = 0 | ~
% 250.98/42.92 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v0, v2) = v3) | ~
% 250.98/42.92 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v0, v1) = v4) | ~
% 250.98/42.92 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v4) = v5) | ~
% 250.98/42.92 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 250.98/42.92 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) = v6 &
% 250.98/42.92 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1406_0, v0) = v7 &
% 250.98/42.92 | ( ~ (v7 = 0) | ~ (v6 = 0))))
% 250.98/42.92 |
% 250.98/42.92 | ALPHA: (494) implies:
% 250.98/42.92 | (495) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1406_0
% 250.98/42.92 |
% 250.98/42.92 | DELTA: instantiating (11) with fresh symbol all_1409_0 gives:
% 250.98/42.92 | (496) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1409_0 &
% 250.98/42.92 | $i(all_1409_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 250.98/42.92 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 250.98/42.92 | $i(v0) | ? [v3: any] : ? [v4: $i] :
% 250.98/42.92 | (class_RealVector_Oreal__normed__vector(v1) = v3 &
% 250.98/42.92 | c_Groups_Ozero__class_Ozero(v1) = v4 & $i(v4) & ( ~ (v3 = 0) | ((
% 250.98/42.92 | ~ (v4 = v0) | v2 = all_1409_0) & ( ~ (v2 = all_1409_0) | v4
% 250.98/42.92 | = v0)))))
% 250.98/42.92 |
% 250.98/42.92 | ALPHA: (496) implies:
% 250.98/42.92 | (497) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1409_0
% 250.98/42.92 | (498) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 250.98/42.92 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 250.98/42.92 | $i(v0) | ? [v3: any] : ? [v4: $i] :
% 250.98/42.92 | (class_RealVector_Oreal__normed__vector(v1) = v3 &
% 250.98/42.92 | c_Groups_Ozero__class_Ozero(v1) = v4 & $i(v4) & ( ~ (v3 = 0) | ((
% 250.98/42.92 | ~ (v4 = v0) | v2 = all_1409_0) & ( ~ (v2 = all_1409_0) | v4
% 250.98/42.92 | = v0)))))
% 250.98/42.92 |
% 250.98/42.92 | DELTA: instantiating (175) with fresh symbols all_1412_0, all_1412_1 gives:
% 250.98/42.92 | (499) c_Int_OBit1(c_Int_OPls) = all_1412_1 & c_Int_OBit0(all_1412_1) =
% 250.98/42.92 | all_1412_0 & $i(all_1412_0) & $i(all_1412_1) & ! [v0: $i] : ! [v1:
% 250.98/42.92 | $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 250.98/42.92 | (c_Groups_Otimes__class_Otimes(v1, v0, v2) = v3) | ~
% 250.98/42.92 | (c_Int_Onumber__class_Onumber__of(v1, all_1412_0) = v2) | ~ $i(v1)
% 250.98/42.92 | | ~ $i(v0) | ? [v4: any] : ? [v5: $i] :
% 250.98/42.92 | (c_Groups_Oplus__class_Oplus(v1, v0, v0) = v5 &
% 250.98/42.92 | class_Int_Onumber__ring(v1) = v4 & $i(v5) & ( ~ (v4 = 0) | v5 =
% 250.98/42.92 | v3)))
% 250.98/42.92 |
% 250.98/42.92 | ALPHA: (499) implies:
% 250.98/42.92 | (500) c_Int_OBit0(all_1412_1) = all_1412_0
% 250.98/42.92 | (501) c_Int_OBit1(c_Int_OPls) = all_1412_1
% 250.98/42.92 |
% 250.98/42.92 | DELTA: instantiating (150) with fresh symbols all_1415_0, all_1415_1,
% 250.98/42.92 | all_1415_2, all_1415_3, all_1415_4, all_1415_5 gives:
% 250.98/42.92 | (502) c_Transcendental_Otan(all_1415_1) = all_1415_0 &
% 250.98/42.92 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1415_0 &
% 250.98/42.92 | c_Int_OBit1(c_Int_OPls) = all_1415_5 & c_Int_OBit0(all_1415_4) =
% 250.98/42.92 | all_1415_3 & c_Int_OBit0(all_1415_5) = all_1415_4 &
% 250.98/42.92 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1415_3) =
% 250.98/42.92 | all_1415_2 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.92 | c_Transcendental_Opi, all_1415_2) = all_1415_1 & $i(all_1415_0) &
% 250.98/42.92 | $i(all_1415_1) & $i(all_1415_2) & $i(all_1415_3) & $i(all_1415_4) &
% 250.98/42.92 | $i(all_1415_5)
% 250.98/42.92 |
% 250.98/42.92 | ALPHA: (502) implies:
% 250.98/42.92 | (503) c_Int_OBit0(all_1415_5) = all_1415_4
% 250.98/42.92 | (504) c_Int_OBit1(c_Int_OPls) = all_1415_5
% 250.98/42.92 |
% 250.98/42.92 | DELTA: instantiating (73) with fresh symbol all_1420_0 gives:
% 250.98/42.92 | (505) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1420_0 & $i(all_1420_0)
% 250.98/42.92 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 |
% 250.98/42.92 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, all_1420_0) = v2) |
% 250.98/42.92 | ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0) = v3) |
% 250.98/42.92 | ~ $i(v1) | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) &
% 250.98/42.92 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = v4)) & !
% 250.98/42.92 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 250.98/42.92 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, all_1420_0) = v2) |
% 250.98/42.92 | ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0) = 0) | ~
% 250.98/42.92 | $i(v1) | ~ $i(v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1,
% 250.98/42.92 | v0) = 0)
% 250.98/42.92 |
% 250.98/42.92 | ALPHA: (505) implies:
% 250.98/42.92 | (506) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1420_0
% 250.98/42.92 |
% 250.98/42.92 | DELTA: instantiating (83) with fresh symbols all_1423_0, all_1423_1,
% 250.98/42.92 | all_1423_2 gives:
% 250.98/42.92 | (507) c_Int_OBit1(all_1423_2) = all_1423_1 & c_Int_OBit1(c_Int_OPls) =
% 250.98/42.92 | all_1423_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 250.98/42.92 | all_1423_1) = all_1423_0 & $i(all_1423_0) & $i(all_1423_1) &
% 250.98/42.92 | $i(all_1423_2) & ! [v0: $i] : ! [v1: $i] : ( ~
% 250.98/42.92 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_1423_0, v0) = v1) |
% 250.98/42.92 | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] : (c_Nat_OSuc(v3) = v1 &
% 250.98/42.92 | c_Nat_OSuc(v2) = v3 & c_Nat_OSuc(v0) = v2 & $i(v3) & $i(v2) &
% 250.98/42.92 | $i(v1)))
% 250.98/42.92 |
% 250.98/42.92 | ALPHA: (507) implies:
% 250.98/42.92 | (508) c_Int_OBit1(c_Int_OPls) = all_1423_2
% 250.98/42.92 |
% 250.98/42.92 | DELTA: instantiating (96) with fresh symbol all_1429_0 gives:
% 250.98/42.92 | (509) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1429_0 & $i(all_1429_0)
% 250.98/42.92 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 |
% 250.98/42.92 | ~ (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v2) = v3) |
% 250.98/42.92 | ~ (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v0, all_1429_0) = v2)
% 250.98/42.92 | | ~ $i(v1) | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) &
% 250.98/42.92 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = v4)) & !
% 250.98/42.92 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 250.98/42.92 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v2) = 0) | ~
% 250.98/42.92 | (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v0, all_1429_0) = v2) |
% 250.98/42.92 | ~ $i(v1) | ~ $i(v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 250.98/42.92 | v1, v0) = 0)
% 250.98/42.92 |
% 250.98/42.93 | ALPHA: (509) implies:
% 250.98/42.93 | (510) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1429_0
% 250.98/42.93 |
% 250.98/42.93 | DELTA: instantiating (29) with fresh symbol all_1432_0 gives:
% 250.98/42.93 | (511) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1432_0 &
% 250.98/42.93 | $i(all_1432_0) & ! [v0: $i] : ( ~
% 250.98/42.93 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1432_0, v0) =
% 250.98/42.93 | 0) | ~ $i(v0) | ? [v1: $i] : ($i(v1) & ! [v2: $i] : ! [v3:
% 250.98/42.93 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: int] :
% 250.98/42.93 | (v7 = 0 | ~ (v_g____(v3) = v4) | ~
% 250.98/42.93 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v4,
% 250.98/42.93 | v_z____) = v5) | ~
% 250.98/42.93 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6)
% 250.98/42.93 | | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v0) =
% 250.98/42.93 | v7) | ~ (hAPP(v_f____, v2) = v3) | ~ $i(v2) | ? [v8: int]
% 250.98/42.93 | : ( ~ (v8 = 0) & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,
% 250.98/42.93 | v1, v2) = v8))))
% 250.98/42.93 |
% 250.98/42.93 | ALPHA: (511) implies:
% 250.98/42.93 | (512) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1432_0
% 250.98/42.93 |
% 250.98/42.93 | DELTA: instantiating (13) with fresh symbol all_1435_0 gives:
% 250.98/42.93 | (513) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1435_0 &
% 250.98/42.93 | $i(all_1435_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 250.98/42.93 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 250.98/42.93 | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] :
% 250.98/42.93 | (class_RealVector_Oreal__normed__vector(v1) = v3 &
% 250.98/42.93 | c_Groups_Ozero__class_Ozero(v1) = v5 &
% 250.98/42.93 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1435_0, v2) =
% 250.98/42.93 | v4 & $i(v5) & ( ~ (v3 = 0) | (( ~ (v5 = v0) | ~ (v4 = 0)) & (v5
% 250.98/42.93 | = v0 | v4 = 0)))))
% 250.98/42.93 |
% 250.98/42.93 | ALPHA: (513) implies:
% 250.98/42.93 | (514) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1435_0
% 250.98/42.93 | (515) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 250.98/42.93 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 250.98/42.93 | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] :
% 250.98/42.93 | (class_RealVector_Oreal__normed__vector(v1) = v3 &
% 250.98/42.93 | c_Groups_Ozero__class_Ozero(v1) = v5 &
% 250.98/42.93 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1435_0, v2) =
% 250.98/42.93 | v4 & $i(v5) & ( ~ (v3 = 0) | (( ~ (v5 = v0) | ~ (v4 = 0)) & (v5
% 250.98/42.93 | = v0 | v4 = 0)))))
% 250.98/42.93 |
% 250.98/42.93 | DELTA: instantiating (33) with fresh symbols all_1438_0, all_1438_1,
% 250.98/42.93 | all_1438_2 gives:
% 250.98/42.93 | (516) c_Int_OBit1(c_Int_OPls) = all_1438_2 & c_Int_OBit0(all_1438_2) =
% 250.98/42.93 | all_1438_1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 250.98/42.93 | all_1438_1) = all_1438_0 & $i(all_1438_0) & $i(all_1438_1) &
% 250.98/42.93 | $i(all_1438_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 250.98/42.93 | $i] : ! [v4: int] : (v4 = 0 | ~
% 250.98/42.93 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 250.98/42.93 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, all_1438_0)
% 250.98/42.93 | = v3) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3,
% 250.98/42.93 | v0) = v4) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = 0)
% 250.98/42.93 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) = v5))
% 250.98/42.93 |
% 250.98/42.93 | ALPHA: (516) implies:
% 250.98/42.93 | (517) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1438_1) =
% 250.98/42.93 | all_1438_0
% 250.98/42.93 | (518) c_Int_OBit0(all_1438_2) = all_1438_1
% 250.98/42.93 | (519) c_Int_OBit1(c_Int_OPls) = all_1438_2
% 250.98/42.93 |
% 250.98/42.93 | DELTA: instantiating (23) with fresh symbol all_1441_0 gives:
% 250.98/42.93 | (520) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1441_0 &
% 250.98/42.93 | $i(all_1441_0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 250.98/42.93 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_1441_0) = v1) |
% 250.98/42.93 | ~ $i(v0) | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) &
% 250.98/42.93 | c_Int_OBit1(v0) = v2 & c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 250.98/42.93 | v2, all_1441_0) = v3 & $i(v2))) & ! [v0: $i] : ( ~
% 250.98/42.93 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_1441_0) = 0) |
% 250.98/42.93 | ~ $i(v0) | ? [v1: $i] : (c_Int_OBit1(v0) = v1 &
% 250.98/42.93 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, all_1441_0) = 0 &
% 250.98/42.93 | $i(v1)))
% 250.98/42.93 |
% 250.98/42.93 | ALPHA: (520) implies:
% 250.98/42.93 | (521) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1441_0
% 250.98/42.93 |
% 250.98/42.93 | DELTA: instantiating (97) with fresh symbol all_1444_0 gives:
% 250.98/42.93 | (522) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1444_0 &
% 250.98/42.93 | $i(all_1444_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 250.98/42.93 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 250.98/42.93 | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] :
% 250.98/42.93 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 250.98/42.93 | all_1444_0) = v4 & class_RealVector_Oreal__normed__vector(v1) =
% 250.98/42.93 | v3 & c_Groups_Ozero__class_Ozero(v1) = v5 & $i(v5) & ( ~ (v3 = 0)
% 250.98/42.93 | | (( ~ (v5 = v0) | v4 = 0) & ( ~ (v4 = 0) | v5 = v0)))))
% 250.98/42.93 |
% 250.98/42.93 | ALPHA: (522) implies:
% 250.98/42.93 | (523) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1444_0
% 250.98/42.93 | (524) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 250.98/42.93 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 250.98/42.93 | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] :
% 250.98/42.93 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 250.98/42.93 | all_1444_0) = v4 & class_RealVector_Oreal__normed__vector(v1) =
% 250.98/42.93 | v3 & c_Groups_Ozero__class_Ozero(v1) = v5 & $i(v5) & ( ~ (v3 = 0)
% 250.98/42.93 | | (( ~ (v5 = v0) | v4 = 0) & ( ~ (v4 = 0) | v5 = v0)))))
% 250.98/42.93 |
% 250.98/42.93 | DELTA: instantiating (108) with fresh symbols all_1447_0, all_1447_1,
% 250.98/42.93 | all_1447_2, all_1447_3, all_1447_4 gives:
% 250.98/42.93 | (525) c_Nat_OSuc(all_1447_1) = all_1447_0 & c_Int_OBit1(c_Int_OPls) =
% 250.98/42.93 | all_1447_4 & c_Int_OBit0(all_1447_4) = all_1447_3 &
% 250.98/42.93 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1447_3) =
% 250.98/42.93 | all_1447_2 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1447_1 &
% 250.98/42.93 | $i(all_1447_0) & $i(all_1447_1) & $i(all_1447_2) & $i(all_1447_3) &
% 250.98/42.93 | $i(all_1447_4) & ! [v0: any] : (v0 = all_1447_0 | v0 = all_1447_1 |
% 250.98/42.93 | ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_1447_2) = 0)
% 250.98/42.93 | | ~ $i(v0))
% 250.98/42.93 |
% 250.98/42.93 | ALPHA: (525) implies:
% 250.98/42.93 | (526) c_Int_OBit0(all_1447_4) = all_1447_3
% 250.98/42.93 | (527) c_Int_OBit1(c_Int_OPls) = all_1447_4
% 250.98/42.93 |
% 250.98/42.93 | DELTA: instantiating (122) with fresh symbols all_1450_0, all_1450_1 gives:
% 250.98/42.93 | (528) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1450_0 &
% 250.98/42.93 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 250.98/42.93 | all_1450_1 & $i(all_1450_0) & $i(all_1450_1) & ! [v0: $i] : ! [v1:
% 250.98/42.93 | $i] : ( ~ (hAPP(all_1450_0, v0) = v1) | ~ $i(v0) | ? [v2: $i] :
% 250.98/42.93 | ? [v3: any] : ? [v4: $i] : ? [v5: any] :
% 250.98/42.93 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v_r) = v3
% 250.98/42.93 | & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1450_1,
% 250.98/42.93 | v4) = v5 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 250.98/42.93 | v1) = v4 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 250.98/42.93 | v0) = v2 & $i(v4) & $i(v2) & ( ~ (v3 = 0) | v5 = 0)))
% 250.98/42.93 |
% 250.98/42.93 | ALPHA: (528) implies:
% 250.98/42.93 | (529) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 250.98/42.93 | all_1450_1
% 250.98/42.93 | (530) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1450_0
% 250.98/42.93 |
% 250.98/42.93 | DELTA: instantiating (190) with fresh symbol all_1453_0 gives:
% 250.98/42.93 | (531) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1453_0 &
% 250.98/42.93 | $i(all_1453_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 250.98/42.93 | $i] : ! [v4: int] : (v4 = 0 | ~ (c_Transcendental_Ocos(v1) = v3)
% 250.98/42.93 | | ~ (c_Transcendental_Ocos(v0) = v2) | ~
% 250.98/42.93 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v3) = v4)
% 250.98/42.93 | | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7:
% 250.98/42.93 | any] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 250.98/42.93 | v0) = v6 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 250.98/42.93 | v0, c_Transcendental_Opi) = v7 &
% 250.98/42.93 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1453_0,
% 250.98/42.93 | v1) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0))))
% 250.98/42.93 |
% 250.98/42.93 | ALPHA: (531) implies:
% 250.98/42.93 | (532) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1453_0
% 250.98/42.93 |
% 250.98/42.93 | DELTA: instantiating (32) with fresh symbols all_1456_0, all_1456_1,
% 250.98/42.93 | all_1456_2 gives:
% 250.98/42.93 | (533) c_Int_OBit1(c_Int_OPls) = all_1456_2 & c_Int_OBit0(all_1456_2) =
% 250.98/42.93 | all_1456_1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 250.98/42.93 | all_1456_1) = all_1456_0 & $i(all_1456_0) & $i(all_1456_1) &
% 250.98/42.93 | $i(all_1456_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 250.98/42.93 | $i] : ! [v4: int] : (v4 = 0 | ~
% 250.98/42.93 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 250.98/42.93 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, all_1456_0)
% 250.98/42.93 | = v3) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 250.98/42.93 | v3) = v4) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = 0)
% 250.98/42.93 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) = v5))
% 250.98/42.93 |
% 250.98/42.93 | ALPHA: (533) implies:
% 250.98/42.93 | (534) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1456_1) =
% 250.98/42.93 | all_1456_0
% 250.98/42.93 | (535) c_Int_OBit0(all_1456_2) = all_1456_1
% 250.98/42.93 | (536) c_Int_OBit1(c_Int_OPls) = all_1456_2
% 250.98/42.93 |
% 250.98/42.93 | DELTA: instantiating (121) with fresh symbols all_1459_0, all_1459_1,
% 250.98/42.93 | all_1459_2, all_1459_3, all_1459_4, all_1459_5 gives:
% 250.98/42.93 | (537) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1459_4, v_r)
% 250.98/42.93 | = 0 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1459_5 &
% 250.98/42.93 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1459_3 &
% 250.98/42.93 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1459_0) =
% 250.98/42.93 | all_1459_1 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 250.98/42.93 | all_1459_1) = all_1459_0 &
% 250.98/42.93 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1459_2) =
% 250.98/42.93 | all_1459_1 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 250.98/42.93 | all_1459_5) = all_1459_4 & hAPP(all_1459_3, all_1459_5) =
% 250.98/42.93 | all_1459_2 & $i(all_1459_0) & $i(all_1459_1) & $i(all_1459_2) &
% 250.98/42.93 | $i(all_1459_3) & $i(all_1459_4) & $i(all_1459_5)
% 250.98/42.93 |
% 250.98/42.93 | ALPHA: (537) implies:
% 250.98/42.93 | (538) $i(all_1459_5)
% 250.98/42.93 | (539) $i(all_1459_2)
% 250.98/42.93 | (540) hAPP(all_1459_3, all_1459_5) = all_1459_2
% 250.98/42.93 | (541) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1459_5) =
% 250.98/42.93 | all_1459_4
% 250.98/42.93 | (542) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1459_2) =
% 250.98/42.93 | all_1459_1
% 250.98/42.93 | (543) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1459_3
% 250.98/42.93 | (544) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1459_5
% 250.98/42.93 |
% 250.98/42.93 | DELTA: instantiating (27) with fresh symbol all_1461_0 gives:
% 250.98/42.93 | (545) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1461_0 &
% 250.98/42.93 | $i(all_1461_0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 250.98/42.93 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_1461_0) = v1) |
% 250.98/42.93 | ~ $i(v0) | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) &
% 250.98/42.93 | c_Int_OBit0(v0) = v2 & c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 250.98/42.93 | v2, all_1461_0) = v3 & $i(v2))) & ! [v0: $i] : ( ~
% 250.98/42.93 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_1461_0) = 0) |
% 250.98/42.93 | ~ $i(v0) | ? [v1: $i] : (c_Int_OBit0(v0) = v1 &
% 250.98/42.93 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, all_1461_0) = 0 &
% 250.98/42.93 | $i(v1)))
% 250.98/42.93 |
% 250.98/42.93 | ALPHA: (545) implies:
% 250.98/42.93 | (546) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1461_0
% 250.98/42.93 |
% 250.98/42.93 | DELTA: instantiating (72) with fresh symbol all_1464_0 gives:
% 250.98/42.93 | (547) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1464_0 & $i(all_1464_0)
% 250.98/42.93 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 |
% 250.98/42.93 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_1464_0) = v2) |
% 250.98/42.93 | ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) = v3) | ~
% 250.98/42.93 | $i(v1) | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) &
% 250.98/42.93 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) = v4)) &
% 250.98/42.93 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 250.98/42.93 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_1464_0) = v2) |
% 250.98/42.93 | ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) = 0) | ~
% 250.98/42.93 | $i(v1) | ~ $i(v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 250.98/42.93 | v1, v0) = 0)
% 250.98/42.93 |
% 250.98/42.93 | ALPHA: (547) implies:
% 250.98/42.93 | (548) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1464_0
% 250.98/42.93 |
% 250.98/42.93 | DELTA: instantiating (157) with fresh symbols all_1470_0, all_1470_1,
% 250.98/42.93 | all_1470_2, all_1470_3, all_1470_4 gives:
% 250.98/42.93 | (549) c_Int_OBit1(c_Int_OPls) = all_1470_4 & c_Int_OBit0(all_1470_4) =
% 250.98/42.93 | all_1470_3 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 250.98/42.93 | all_1470_3) = all_1470_2 &
% 250.98/42.93 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.93 | c_Transcendental_Opi, all_1470_2) = all_1470_1 &
% 250.98/42.93 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1470_1) =
% 250.98/42.93 | all_1470_0 & $i(all_1470_0) & $i(all_1470_1) & $i(all_1470_2) &
% 250.98/42.93 | $i(all_1470_3) & $i(all_1470_4) & ? [v0: $i] : ( ~ $i(v0) | ? [v1:
% 250.98/42.93 | $i] : (c_Transcendental_Otan(v1) = v0 &
% 250.98/42.93 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1470_1) =
% 250.98/42.93 | 0 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1470_0,
% 250.98/42.93 | v1) = 0 & $i(v1)))
% 250.98/42.93 |
% 250.98/42.93 | ALPHA: (549) implies:
% 250.98/42.93 | (550) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.93 | c_Transcendental_Opi, all_1470_2) = all_1470_1
% 250.98/42.93 | (551) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1470_3) =
% 250.98/42.93 | all_1470_2
% 250.98/42.93 | (552) c_Int_OBit0(all_1470_4) = all_1470_3
% 250.98/42.93 | (553) c_Int_OBit1(c_Int_OPls) = all_1470_4
% 250.98/42.93 |
% 250.98/42.93 | DELTA: instantiating (38) with fresh symbol all_1472_0 gives:
% 250.98/42.93 | (554) c_Int_OBit1(c_Int_OPls) = all_1472_0 & $i(all_1472_0) & ! [v0: $i] :
% 250.98/42.93 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 250.98/42.93 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_1472_0) = v2) |
% 250.98/42.93 | ~ (c_Int_Onumber__class_Onumber__of(v1, v2) = v3) | ~ $i(v1) | ~
% 250.98/42.93 | $i(v0) | ? [v4: any] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 250.98/42.93 | (c_Groups_Oone__class_Oone(v1) = v6 &
% 250.98/42.93 | c_Groups_Oplus__class_Oplus(v1, v5, v6) = v7 &
% 250.98/42.93 | class_Int_Onumber__ring(v1) = v4 &
% 250.98/42.93 | c_Int_Onumber__class_Onumber__of(v1, v0) = v5 & $i(v7) & $i(v6) &
% 250.98/42.93 | $i(v5) & ( ~ (v4 = 0) | v7 = v3)))
% 250.98/42.93 |
% 250.98/42.93 | ALPHA: (554) implies:
% 250.98/42.93 | (555) c_Int_OBit1(c_Int_OPls) = all_1472_0
% 250.98/42.93 |
% 250.98/42.93 | DELTA: instantiating (67) with fresh symbols all_1475_0, all_1475_1,
% 250.98/42.93 | all_1475_2 gives:
% 250.98/42.93 | (556) c_Int_OBit1(c_Int_OPls) = all_1475_2 & c_Int_OBit0(all_1475_2) =
% 250.98/42.93 | all_1475_1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 250.98/42.93 | all_1475_1) = all_1475_0 & $i(all_1475_0) & $i(all_1475_1) &
% 250.98/42.93 | $i(all_1475_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 250.98/42.93 | $i] : ! [v4: $i] : ( ~
% 250.98/42.93 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 250.98/42.93 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, all_1475_0)
% 250.98/42.93 | = v3) | ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3,
% 250.98/42.93 | v1) = v4) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] :
% 250.98/42.93 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, all_1475_0)
% 250.98/42.93 | = v4 & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v0, v1) =
% 250.98/42.93 | v5 & $i(v5) & $i(v4)))
% 250.98/42.93 |
% 250.98/42.93 | ALPHA: (556) implies:
% 250.98/42.93 | (557) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1475_1) =
% 250.98/42.93 | all_1475_0
% 250.98/42.93 | (558) c_Int_OBit0(all_1475_2) = all_1475_1
% 250.98/42.93 | (559) c_Int_OBit1(c_Int_OPls) = all_1475_2
% 250.98/42.93 |
% 250.98/42.93 | DELTA: instantiating (35) with fresh symbols all_1478_0, all_1478_1 gives:
% 250.98/42.93 | (560) c_Int_OBit1(c_Int_OPls) = all_1478_1 & c_Int_OBit0(all_1478_1) =
% 250.98/42.93 | all_1478_0 & $i(all_1478_0) & $i(all_1478_1) & ! [v0: $i] : ! [v1:
% 250.98/42.93 | $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: int] : (v5
% 250.98/42.93 | = 0 | ~ (c_Groups_Oone__class_Oone(v0) = v2) | ~
% 250.98/42.93 | (c_Int_Onumber__class_Onumber__of(v0, all_1478_0) = v3) | ~
% 250.98/42.93 | (c_Rings_Oinverse__class_Odivide(v0, v2, v3) = v4) | ~
% 250.98/42.93 | (c_Groups_Ozero__class_Ozero(v0) = v1) | ~
% 250.98/42.93 | (c_Orderings_Oord__class_Oless(v0, v1, v4) = v5) | ~ $i(v0) | ?
% 250.98/42.93 | [v6: any] : ? [v7: any] :
% 250.98/42.93 | (class_Fields_Olinordered__field__inverse__zero(v0) = v6 &
% 250.98/42.93 | class_Int_Onumber__ring(v0) = v7 & ( ~ (v7 = 0) | ~ (v6 = 0))))
% 250.98/42.93 |
% 250.98/42.93 | ALPHA: (560) implies:
% 250.98/42.93 | (561) c_Int_OBit0(all_1478_1) = all_1478_0
% 250.98/42.93 | (562) c_Int_OBit1(c_Int_OPls) = all_1478_1
% 250.98/42.93 |
% 250.98/42.93 | DELTA: instantiating (171) with fresh symbol all_1481_0 gives:
% 250.98/42.93 | (563) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1481_0 &
% 250.98/42.93 | $i(all_1481_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 250.98/42.93 | $i] : ! [v4: $i] : ! [v5: any] : ( ~
% 250.98/42.93 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v2) = v3) | ~
% 250.98/42.93 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0, v2) = v4) | ~
% 250.98/42.93 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v4) = v5)
% 250.98/42.93 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 250.98/42.93 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) = v7 &
% 250.98/42.93 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1481_0, v2) =
% 250.98/42.93 | v6 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | v7 =
% 250.98/42.93 | 0)))))
% 250.98/42.93 |
% 250.98/42.93 | ALPHA: (563) implies:
% 250.98/42.93 | (564) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1481_0
% 250.98/42.93 |
% 250.98/42.93 | DELTA: instantiating (39) with fresh symbol all_1484_0 gives:
% 250.98/42.93 | (565) c_Int_OBit1(c_Int_OPls) = all_1484_0 & $i(all_1484_0) & ! [v0: $i] :
% 250.98/42.93 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 250.98/42.93 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_1484_0, v0) = v2) |
% 250.98/42.93 | ~ (c_Int_Onumber__class_Onumber__of(v1, v2) = v3) | ~ $i(v1) | ~
% 250.98/42.93 | $i(v0) | ? [v4: any] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 250.98/42.93 | (c_Groups_Oone__class_Oone(v1) = v5 &
% 250.98/42.93 | c_Groups_Oplus__class_Oplus(v1, v5, v6) = v7 &
% 250.98/42.93 | class_Int_Onumber__ring(v1) = v4 &
% 250.98/42.93 | c_Int_Onumber__class_Onumber__of(v1, v0) = v6 & $i(v7) & $i(v6) &
% 250.98/42.93 | $i(v5) & ( ~ (v4 = 0) | v7 = v3)))
% 250.98/42.93 |
% 250.98/42.93 | ALPHA: (565) implies:
% 250.98/42.93 | (566) c_Int_OBit1(c_Int_OPls) = all_1484_0
% 250.98/42.93 |
% 250.98/42.93 | DELTA: instantiating (135) with fresh symbol all_1487_0 gives:
% 250.98/42.94 | (567) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1487_0 &
% 250.98/42.94 | $i(all_1487_0) & ? [v0: $i] : ($i(v0) & ! [v1: $i] : ! [v2: $i] :
% 250.98/42.94 | ( ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2) |
% 250.98/42.94 | ~ $i(v1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 250.98/42.94 | v0) = 0 | ! [v3: $i] : ! [v4: $i] : ( ~ (hAPP(all_1487_0, v3)
% 250.98/42.94 | = v4) | ~ $i(v3) | ? [v5: $i] : ? [v6: any] : ? [v7: $i]
% 250.98/42.94 | : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v_r)
% 250.98/42.94 | = v6 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 250.98/42.94 | v4) = v7 &
% 250.98/42.94 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v5
% 250.98/42.94 | & $i(v7) & $i(v5) & ( ~ (v7 = v2) | ~ (v6 = 0))))))
% 250.98/42.94 |
% 250.98/42.94 | ALPHA: (567) implies:
% 250.98/42.94 | (568) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1487_0
% 250.98/42.94 |
% 250.98/42.94 | DELTA: instantiating (170) with fresh symbol all_1489_0 gives:
% 250.98/42.94 | (569) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1489_0 &
% 250.98/42.94 | $i(all_1489_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 250.98/42.94 | $i] : ! [v4: $i] : ! [v5: any] : ( ~
% 250.98/42.94 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 250.98/42.94 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v0) = v4) | ~
% 250.98/42.94 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v4) = v5)
% 250.98/42.94 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 250.98/42.94 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) = v7 &
% 250.98/42.94 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1489_0, v2) =
% 250.98/42.94 | v6 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | v7 =
% 250.98/42.94 | 0)))))
% 250.98/42.94 |
% 250.98/42.94 | ALPHA: (569) implies:
% 250.98/42.94 | (570) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1489_0
% 250.98/42.94 |
% 250.98/42.94 | DELTA: instantiating (162) with fresh symbol all_1495_0 gives:
% 250.98/42.94 | (571) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1495_0 &
% 250.98/42.94 | $i(all_1495_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 250.98/42.94 | $i] : ! [v4: $i] : ! [v5: any] : ( ~
% 250.98/42.94 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1, v2) = v3) | ~
% 250.98/42.94 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0, v2) = v4) | ~
% 250.98/42.94 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v4) = v5) | ~
% 250.98/42.94 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 250.98/42.94 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) = v7 &
% 250.98/42.94 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1495_0, v2) =
% 250.98/42.94 | v6 & ( ~ (v6 = 0) | (( ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | v7 =
% 250.98/42.94 | 0)))))
% 250.98/42.94 |
% 250.98/42.94 | ALPHA: (571) implies:
% 250.98/42.94 | (572) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1495_0
% 250.98/42.94 |
% 250.98/42.94 | DELTA: instantiating (2) with fresh symbols all_1498_0, all_1498_1,
% 250.98/42.94 | all_1498_2, all_1498_3, all_1498_4, all_1498_5, all_1498_6 gives:
% 250.98/42.94 | (573) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1498_6 &
% 250.98/42.94 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1498_5 &
% 250.98/42.94 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 250.98/42.94 | all_1498_2 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1498_1)
% 250.98/42.94 | = all_1498_0 & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,
% 250.98/42.94 | all_1498_3, all_1498_2) = all_1498_1 &
% 250.98/42.94 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1498_4) =
% 250.98/42.94 | all_1498_3 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.98/42.94 | all_1498_6, all_1498_0) = 0 & hAPP(all_1498_5, v_z____) =
% 250.98/42.94 | all_1498_4 & $i(all_1498_0) & $i(all_1498_1) & $i(all_1498_2) &
% 250.98/42.94 | $i(all_1498_3) & $i(all_1498_4) & $i(all_1498_5) & $i(all_1498_6)
% 250.98/42.94 |
% 250.98/42.94 | ALPHA: (573) implies:
% 250.98/42.94 | (574) hAPP(all_1498_5, v_z____) = all_1498_4
% 250.98/42.94 | (575) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1498_4) =
% 250.98/42.94 | all_1498_3
% 250.98/42.94 | (576) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1498_3,
% 250.98/42.94 | all_1498_2) = all_1498_1
% 250.98/42.94 | (577) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1498_1) = all_1498_0
% 250.98/42.94 | (578) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 250.98/42.94 | all_1498_2
% 250.98/42.94 | (579) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1498_5
% 250.98/42.94 | (580) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1498_6
% 250.98/42.94 |
% 250.98/42.94 | DELTA: instantiating (66) with fresh symbols all_1500_0, all_1500_1,
% 250.98/42.94 | all_1500_2 gives:
% 250.98/42.94 | (581) c_Int_OBit1(c_Int_OPls) = all_1500_2 & c_Int_OBit0(all_1500_2) =
% 250.98/42.94 | all_1500_1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 250.98/42.94 | all_1500_1) = all_1500_0 & $i(all_1500_0) & $i(all_1500_1) &
% 250.98/42.94 | $i(all_1500_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 250.98/42.94 | $i] : ! [v4: $i] : ( ~
% 250.98/42.94 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 250.98/42.94 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, all_1500_0)
% 250.98/42.94 | = v3) | ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3,
% 250.98/42.94 | v0) = v4) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] :
% 250.98/42.94 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, all_1500_0)
% 250.98/42.94 | = v4 & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v1, v0) =
% 250.98/42.94 | v5 & $i(v5) & $i(v4)))
% 250.98/42.94 |
% 250.98/42.94 | ALPHA: (581) implies:
% 250.98/42.94 | (582) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1500_1) =
% 250.98/42.94 | all_1500_0
% 250.98/42.94 | (583) c_Int_OBit0(all_1500_2) = all_1500_1
% 250.98/42.94 | (584) c_Int_OBit1(c_Int_OPls) = all_1500_2
% 250.98/42.94 |
% 250.98/42.94 | DELTA: instantiating (82) with fresh symbol all_1503_0 gives:
% 250.98/42.94 | (585) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1503_0 & $i(all_1503_0)
% 250.98/42.94 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 |
% 250.98/42.94 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_1503_0) = v2) |
% 250.98/42.94 | ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) = v3) | ~
% 250.98/42.94 | $i(v1) | ~ $i(v0) | ( ~ (v1 = v0) & ? [v4: int] : ( ~ (v4 = 0) &
% 250.98/42.94 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = v4))) & !
% 250.98/42.94 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 250.98/42.94 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_1503_0) = v2) |
% 250.98/42.94 | ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) = 0) | ~
% 250.98/42.94 | $i(v1) | ~ $i(v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1,
% 250.98/42.94 | v0) = 0)
% 250.98/42.94 |
% 250.98/42.94 | ALPHA: (585) implies:
% 250.98/42.94 | (586) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1503_0
% 250.98/42.94 |
% 250.98/42.94 | DELTA: instantiating (100) with fresh symbols all_1506_0, all_1506_1 gives:
% 250.98/42.94 | (587) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1506_0 &
% 250.98/42.94 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1506_1 &
% 250.98/42.94 | $i(all_1506_0) & $i(all_1506_1) & ! [v0: $i] : ! [v1: int] : (v1 =
% 250.98/42.94 | 0 | ~ (c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1506_0, v0)
% 250.98/42.94 | = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) &
% 250.98/42.94 | c_RealDef_Oreal(tc_Nat_Onat, v0) = v2 &
% 250.98/42.94 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1506_1, v2) =
% 250.98/42.94 | v3 & $i(v2))) & ! [v0: $i] : ( ~
% 250.98/42.94 | (c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1506_0, v0) = 0) |
% 250.98/42.94 | ~ $i(v0) | ? [v1: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1 &
% 250.98/42.94 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1506_1, v1) =
% 250.98/42.94 | 0 & $i(v1)))
% 250.98/42.94 |
% 250.98/42.94 | ALPHA: (587) implies:
% 250.98/42.94 | (588) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1506_1
% 250.98/42.94 |
% 250.98/42.94 | DELTA: instantiating (22) with fresh symbol all_1512_0 gives:
% 250.98/42.94 | (589) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1512_0 &
% 250.98/42.94 | $i(all_1512_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 250.98/42.94 | (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v1, v0) = v2) | ~
% 250.98/42.94 | $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 250.98/42.94 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, all_1512_0) = v4 &
% 250.98/42.94 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = v3 & ( ~ (v3
% 250.98/42.94 | = 0) | v4 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 250.98/42.94 | ( ~ (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v1, v0) = v2) | ~
% 250.98/42.94 | $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 250.98/42.94 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, all_1512_0) = v3 &
% 250.98/42.94 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) = v4 & ( ~ (v3
% 250.98/42.94 | = 0) | v4 = 0)))
% 250.98/42.94 |
% 250.98/42.94 | ALPHA: (589) implies:
% 250.98/42.94 | (590) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1512_0
% 250.98/42.94 |
% 250.98/42.94 | DELTA: instantiating (69) with fresh symbols all_1515_0, all_1515_1,
% 250.98/42.94 | all_1515_2 gives:
% 250.98/42.94 | (591) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1515_0 &
% 250.98/42.94 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1515_2 &
% 250.98/42.94 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 250.98/42.94 | all_1515_1 & $i(all_1515_0) & $i(all_1515_1) & $i(all_1515_2) & !
% 250.98/42.94 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 250.98/42.94 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: int] : (v8 = 0 | ~
% 250.98/42.94 | (c_Nat_OSuc(v0) = v4) | ~ (c_RealDef_Oreal(tc_Nat_Onat, v4) = v5)
% 250.98/42.94 | | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1515_1, v6)
% 250.98/42.94 | = v7) | ~ (v_g____(v0) = v1) | ~
% 250.98/42.94 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1515_0, v5)
% 250.98/42.94 | = v6) | ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 250.98/42.94 | v2) = v3) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.98/42.94 | v3, v7) = v8) | ~ (hAPP(all_1515_2, v1) = v2) | ~ $i(v0))
% 250.98/42.94 |
% 250.98/42.94 | ALPHA: (591) implies:
% 250.98/42.94 | (592) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 250.98/42.94 | all_1515_1
% 250.98/42.94 | (593) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1515_2
% 250.98/42.94 |
% 250.98/42.94 | DELTA: instantiating (113) with fresh symbols all_1521_0, all_1521_1,
% 250.98/42.94 | all_1521_2, all_1521_3, all_1521_4 gives:
% 250.98/42.94 | (594) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1521_0 &
% 250.98/42.94 | c_Int_OBit1(c_Int_OPls) = all_1521_3 & c_Int_OBit0(all_1521_3) =
% 250.98/42.94 | all_1521_2 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint,
% 250.98/42.94 | all_1521_2) = all_1521_1 & c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 250.98/42.94 | = all_1521_4 & $i(all_1521_0) & $i(all_1521_1) & $i(all_1521_2) &
% 250.98/42.94 | $i(all_1521_3) & $i(all_1521_4) & ! [v0: any] : (v0 = all_1521_0 |
% 250.98/42.94 | v0 = all_1521_4 | ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 250.98/42.94 | v0, all_1521_1) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0)
% 250.98/42.94 | & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1521_4, v0)
% 250.98/42.94 | = v1))
% 250.98/42.94 |
% 250.98/42.94 | ALPHA: (594) implies:
% 250.98/42.94 | (595) $i(all_1521_1)
% 250.98/42.94 | (596) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1521_4
% 250.98/42.94 | (597) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_1521_2) =
% 250.98/42.94 | all_1521_1
% 250.98/42.94 | (598) c_Int_OBit0(all_1521_3) = all_1521_2
% 250.98/42.94 | (599) c_Int_OBit1(c_Int_OPls) = all_1521_3
% 250.98/42.94 | (600) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1521_0
% 250.98/42.94 |
% 250.98/42.94 | DELTA: instantiating (156) with fresh symbols all_1524_0, all_1524_1,
% 250.98/42.94 | all_1524_2, all_1524_3, all_1524_4 gives:
% 250.98/42.94 | (601) c_Int_OBit1(c_Int_OPls) = all_1524_3 & c_Int_OBit0(all_1524_3) =
% 250.98/42.94 | all_1524_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 250.98/42.94 | all_1524_2) = all_1524_1 &
% 250.98/42.94 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.94 | c_Transcendental_Opi, all_1524_1) = all_1524_0 &
% 250.98/42.94 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1524_4 &
% 250.98/42.94 | $i(all_1524_0) & $i(all_1524_1) & $i(all_1524_2) & $i(all_1524_3) &
% 250.98/42.94 | $i(all_1524_4) & ! [v0: $i] : ( ~
% 250.98/42.94 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1524_4,
% 250.98/42.94 | v0) = 0) | ~ $i(v0) | ? [v1: $i] : (c_Transcendental_Otan(v1)
% 250.98/42.94 | = v0 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 250.98/42.94 | all_1524_4, v1) = 0 &
% 250.98/42.94 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1524_0) =
% 250.98/42.94 | 0 & $i(v1)))
% 250.98/42.94 |
% 250.98/42.94 | ALPHA: (601) implies:
% 250.98/42.94 | (602) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1524_4
% 250.98/42.94 | (603) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.94 | c_Transcendental_Opi, all_1524_1) = all_1524_0
% 250.98/42.94 | (604) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1524_2) =
% 250.98/42.94 | all_1524_1
% 250.98/42.94 | (605) c_Int_OBit0(all_1524_3) = all_1524_2
% 250.98/42.94 | (606) c_Int_OBit1(c_Int_OPls) = all_1524_3
% 250.98/42.94 |
% 250.98/42.94 | DELTA: instantiating (94) with fresh symbol all_1527_0 gives:
% 250.98/42.94 | (607) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1527_0 &
% 250.98/42.94 | $i(all_1527_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 250.98/42.94 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 250.98/42.94 | $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 250.98/42.94 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 250.98/42.94 | all_1527_0) = v4 &
% 250.98/42.94 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) = v3
% 250.98/42.94 | & ( ~ (v3 = 0) | v4 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 250.98/42.94 | $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v1, v0)
% 250.98/42.94 | = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 250.98/42.94 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 250.98/42.94 | all_1527_0) = v3 &
% 250.98/42.94 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) = v4
% 250.98/42.94 | & ( ~ (v3 = 0) | v4 = 0)))
% 250.98/42.94 |
% 250.98/42.94 | ALPHA: (607) implies:
% 250.98/42.94 | (608) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1527_0
% 250.98/42.94 |
% 250.98/42.94 | DELTA: instantiating (144) with fresh symbols all_1530_0, all_1530_1,
% 250.98/42.94 | all_1530_2, all_1530_3, all_1530_4 gives:
% 250.98/42.94 | (609) c_Int_OBit1(c_Int_OPls) = all_1530_4 & c_Int_OBit0(all_1530_4) =
% 250.98/42.94 | all_1530_3 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 250.98/42.94 | all_1530_3) = all_1530_2 &
% 250.98/42.94 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.94 | c_Transcendental_Opi, all_1530_2) = all_1530_1 &
% 250.98/42.94 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1530_1) =
% 250.98/42.94 | all_1530_0 & $i(all_1530_0) & $i(all_1530_1) & $i(all_1530_2) &
% 250.98/42.94 | $i(all_1530_3) & $i(all_1530_4) & ! [v0: $i] : ! [v1: $i] : ( ~
% 250.98/42.94 | (c_Transcendental_Oarctan(v0) = v1) | ~ $i(v0) |
% 250.98/42.94 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1530_1) =
% 250.98/42.94 | 0) & ! [v0: $i] : ! [v1: $i] : ( ~ (c_Transcendental_Oarctan(v0)
% 250.98/42.94 | = v1) | ~ $i(v0) |
% 250.98/42.94 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1530_0, v1) =
% 250.98/42.94 | 0)
% 250.98/42.94 |
% 250.98/42.94 | ALPHA: (609) implies:
% 250.98/42.94 | (610) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.94 | c_Transcendental_Opi, all_1530_2) = all_1530_1
% 250.98/42.94 | (611) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1530_3) =
% 250.98/42.94 | all_1530_2
% 250.98/42.94 | (612) c_Int_OBit0(all_1530_4) = all_1530_3
% 250.98/42.94 | (613) c_Int_OBit1(c_Int_OPls) = all_1530_4
% 250.98/42.94 |
% 250.98/42.94 | DELTA: instantiating (109) with fresh symbol all_1533_0 gives:
% 250.98/42.94 | (614) c_Int_OBit1(c_Int_OPls) = all_1533_0 & $i(all_1533_0) & ! [v0: $i] :
% 250.98/42.94 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 250.98/42.94 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_1533_0, v2) = v3) |
% 250.98/42.94 | ~ (c_Int_Onumber__class_Onumber__of(v1, v3) = v4) | ~
% 250.98/42.94 | (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v2) | ~ $i(v1)
% 250.98/42.94 | | ~ $i(v0) | ? [v5: any] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 250.98/42.94 | $i] : (c_Groups_Oone__class_Oone(v1) = v6 &
% 250.98/42.94 | class_Int_Onumber__ring(v1) = v5 &
% 250.98/42.94 | c_Int_Onumber__class_Onumber__of(v1, v0) = v7 &
% 250.98/42.94 | c_Groups_Ominus__class_Ominus(v1, v6, v7) = v8 & $i(v8) & $i(v7)
% 250.98/42.94 | & $i(v6) & ( ~ (v5 = 0) | v8 = v4)))
% 250.98/42.94 |
% 250.98/42.94 | ALPHA: (614) implies:
% 250.98/42.94 | (615) c_Int_OBit1(c_Int_OPls) = all_1533_0
% 250.98/42.94 |
% 250.98/42.94 | DELTA: instantiating (103) with fresh symbols all_1539_0, all_1539_1,
% 250.98/42.94 | all_1539_2 gives:
% 250.98/42.94 | (616) c_Int_OBit1(c_Int_OPls) = all_1539_1 &
% 250.98/42.94 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1539_1) =
% 250.98/42.94 | all_1539_0 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 250.98/42.94 | c_Int_OPls) = all_1539_2 & $i(all_1539_0) & $i(all_1539_1) &
% 250.98/42.94 | $i(all_1539_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 250.98/42.94 | $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1,
% 250.98/42.94 | all_1539_0) = v2) | ~
% 250.98/42.94 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v2) = v3) | ~
% 250.98/42.94 | $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: $i] : ? [v6: $i] :
% 250.98/42.94 | (c_Nat_OSuc(v0) = v5 & c_Groups_Ominus__class_Ominus(tc_Nat_Onat,
% 250.98/42.94 | v5, v1) = v6 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 250.98/42.94 | all_1539_2, v1) = v4 & $i(v6) & $i(v5) & ( ~ (v4 = 0) | v6 =
% 250.98/42.94 | v3)))
% 250.98/42.94 |
% 250.98/42.94 | ALPHA: (616) implies:
% 250.98/42.94 | (617) c_Int_OBit1(c_Int_OPls) = all_1539_1
% 250.98/42.94 |
% 250.98/42.94 | DELTA: instantiating (40) with fresh symbol all_1542_0 gives:
% 250.98/42.94 | (618) c_Int_OBit1(c_Int_OPls) = all_1542_0 & $i(all_1542_0) & ! [v0: $i] :
% 250.98/42.94 | ! [v1: $i] : ! [v2: any] : ( ~
% 250.98/42.94 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, all_1542_0) =
% 250.98/42.94 | v2) | ~ (class_Rings_Olinordered__idom(v1) = 0) | ~ $i(v1) | ~
% 250.98/42.94 | $i(v0) | ? [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: any] :
% 250.98/42.94 | (c_Groups_Oone__class_Oone(v1) = v5 &
% 250.98/42.94 | c_Orderings_Oord__class_Oless__eq(v1, v4, v5) = v6 &
% 250.98/42.94 | class_Int_Onumber__ring(v1) = v3 &
% 250.98/42.94 | c_Int_Onumber__class_Onumber__of(v1, v0) = v4 & $i(v5) & $i(v4) &
% 250.98/42.94 | ( ~ (v3 = 0) | (( ~ (v6 = 0) | v2 = 0) & ( ~ (v2 = 0) | v6 =
% 250.98/42.94 | 0)))))
% 250.98/42.94 |
% 250.98/42.94 | ALPHA: (618) implies:
% 250.98/42.94 | (619) c_Int_OBit1(c_Int_OPls) = all_1542_0
% 250.98/42.94 |
% 250.98/42.94 | DELTA: instantiating (63) with fresh symbol all_1545_0 gives:
% 250.98/42.95 | (620) c_Int_OBit1(c_Int_OPls) = all_1545_0 & $i(all_1545_0) & ! [v0: $i] :
% 250.98/42.95 | ! [v1: $i] : ! [v2: any] : ( ~ (class_Rings_Olinordered__idom(v1) =
% 250.98/42.95 | 0) | ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0,
% 250.98/42.95 | all_1545_0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ?
% 250.98/42.95 | [v4: $i] : ? [v5: $i] : ? [v6: any] :
% 250.98/42.95 | (c_Groups_Oone__class_Oone(v1) = v5 & class_Int_Onumber__ring(v1) =
% 250.98/42.95 | v3 & c_Int_Onumber__class_Onumber__of(v1, v0) = v4 &
% 250.98/42.95 | c_Orderings_Oord__class_Oless(v1, v4, v5) = v6 & $i(v5) & $i(v4)
% 250.98/42.95 | & ( ~ (v3 = 0) | (( ~ (v6 = 0) | v2 = 0) & ( ~ (v2 = 0) | v6 =
% 250.98/42.95 | 0)))))
% 250.98/42.95 |
% 250.98/42.95 | ALPHA: (620) implies:
% 250.98/42.95 | (621) c_Int_OBit1(c_Int_OPls) = all_1545_0
% 250.98/42.95 |
% 250.98/42.95 | DELTA: instantiating (64) with fresh symbol all_1548_0 gives:
% 250.98/42.95 | (622) c_Int_OBit1(c_Int_OPls) = all_1548_0 & $i(all_1548_0) & ! [v0: $i] :
% 250.98/42.95 | ! [v1: $i] : ! [v2: any] : ( ~ (class_Rings_Olinordered__idom(v1) =
% 250.98/42.95 | 0) | ~ (c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1548_0,
% 250.98/42.95 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: $i]
% 250.98/42.95 | : ? [v5: $i] : ? [v6: any] : (c_Groups_Oone__class_Oone(v1) = v4
% 250.98/42.95 | & class_Int_Onumber__ring(v1) = v3 &
% 250.98/42.95 | c_Int_Onumber__class_Onumber__of(v1, v0) = v5 &
% 250.98/42.95 | c_Orderings_Oord__class_Oless(v1, v4, v5) = v6 & $i(v5) & $i(v4)
% 250.98/42.95 | & ( ~ (v3 = 0) | (( ~ (v6 = 0) | v2 = 0) & ( ~ (v2 = 0) | v6 =
% 250.98/42.95 | 0)))))
% 250.98/42.95 |
% 250.98/42.95 | ALPHA: (622) implies:
% 250.98/42.95 | (623) c_Int_OBit1(c_Int_OPls) = all_1548_0
% 250.98/42.95 |
% 250.98/42.95 | DELTA: instantiating (110) with fresh symbols all_1551_0, all_1551_1 gives:
% 250.98/42.95 | (624) c_Int_OBit1(c_Int_OPls) = all_1551_1 &
% 250.98/42.95 | c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, all_1551_1) = all_1551_0
% 250.98/42.95 | & $i(all_1551_0) & $i(all_1551_1) & ! [v0: $i] : ! [v1: $i] : !
% 250.98/42.95 | [v2: $i] : ! [v3: $i] : ( ~
% 250.98/42.95 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_1551_0) = v2) |
% 250.98/42.95 | ~ (c_Int_Onumber__class_Onumber__of(v1, v2) = v3) | ~ $i(v1) | ~
% 250.98/42.95 | $i(v0) | ? [v4: any] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 250.98/42.95 | (c_Groups_Oone__class_Oone(v1) = v6 & class_Int_Onumber__ring(v1) =
% 250.98/42.95 | v4 & c_Int_Onumber__class_Onumber__of(v1, v0) = v5 &
% 250.98/42.95 | c_Groups_Ominus__class_Ominus(v1, v5, v6) = v7 & $i(v7) & $i(v6)
% 250.98/42.95 | & $i(v5) & ( ~ (v4 = 0) | v7 = v3)))
% 250.98/42.95 |
% 250.98/42.95 | ALPHA: (624) implies:
% 250.98/42.95 | (625) c_Int_OBit1(c_Int_OPls) = all_1551_1
% 250.98/42.95 |
% 250.98/42.95 | DELTA: instantiating (17) with fresh symbols all_1554_0, all_1554_1 gives:
% 250.98/42.95 | (626) c_Int_OBit1(c_Int_OPls) = all_1554_1 & c_Int_OBit0(all_1554_1) =
% 250.98/42.95 | all_1554_0 & $i(all_1554_0) & $i(all_1554_1) & ! [v0: $i] : ! [v1:
% 250.98/42.95 | $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: int] : (v5
% 250.98/42.95 | = 0 | ~ (c_Int_Onumber__class_Onumber__of(v1, all_1554_0) = v3) |
% 250.98/42.95 | ~ (c_Rings_Oinverse__class_Odivide(v1, v0, v3) = v4) | ~
% 250.98/42.95 | (c_Groups_Ozero__class_Ozero(v1) = v2) | ~
% 250.98/42.95 | (c_Orderings_Oord__class_Oless(v1, v2, v4) = v5) | ~ $i(v1) | ~
% 250.98/42.95 | $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 250.98/42.95 | (class_Fields_Olinordered__field__inverse__zero(v1) = v6 &
% 250.98/42.95 | class_Int_Onumber__ring(v1) = v7 &
% 250.98/42.95 | c_Orderings_Oord__class_Oless(v1, v2, v0) = v8 & ( ~ (v8 = 0) |
% 250.98/42.95 | ~ (v7 = 0) | ~ (v6 = 0))))
% 250.98/42.95 |
% 250.98/42.95 | ALPHA: (626) implies:
% 250.98/42.95 | (627) c_Int_OBit0(all_1554_1) = all_1554_0
% 250.98/42.95 | (628) c_Int_OBit1(c_Int_OPls) = all_1554_1
% 250.98/42.95 |
% 250.98/42.95 | DELTA: instantiating (173) with fresh symbol all_1557_0 gives:
% 250.98/42.95 | (629) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1557_0 &
% 250.98/42.95 | $i(all_1557_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 250.98/42.95 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 250.98/42.95 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2, v5) = v6) | ~
% 250.98/42.95 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v6) = 0) |
% 250.98/42.95 | ~ (c_RealVector_Onorm__class_Onorm(v3, v1) = v4) | ~
% 250.98/42.95 | (c_RealVector_Onorm__class_Onorm(v3, v0) = v5) | ~ $i(v3) | ~
% 250.98/42.95 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v7: any] : ? [v8: any] : ?
% 250.98/42.95 | [v9: $i] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 250.98/42.95 | all_1557_0) = v8 & class_RealVector_Oreal__normed__vector(v3) =
% 250.98/42.95 | v7 & c_Groups_Ozero__class_Ozero(v3) = v9 & $i(v9) & ( ~ (v8 = 0)
% 250.98/42.95 | | ~ (v7 = 0) | v9 = v1)))
% 250.98/42.95 |
% 250.98/42.95 | ALPHA: (629) implies:
% 250.98/42.95 | (630) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1557_0
% 250.98/42.95 |
% 250.98/42.95 | DELTA: instantiating (154) with fresh symbols all_1563_0, all_1563_1,
% 250.98/42.95 | all_1563_2, all_1563_3, all_1563_4 gives:
% 250.98/42.95 | (631) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1563_4 &
% 250.98/42.95 | c_Int_OBit1(c_Int_OPls) = all_1563_3 & c_Int_OBit0(all_1563_3) =
% 250.98/42.95 | all_1563_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 250.98/42.95 | all_1563_2) = all_1563_1 &
% 250.98/42.95 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.95 | c_Transcendental_Opi, all_1563_1) = all_1563_0 & $i(all_1563_0) &
% 250.98/42.95 | $i(all_1563_1) & $i(all_1563_2) & $i(all_1563_3) & $i(all_1563_4) &
% 250.98/42.95 | ! [v0: $i] : ! [v1: $i] : ( ~
% 250.98/42.95 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1563_0, v0) =
% 250.98/42.95 | v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] :
% 250.98/42.95 | (c_Transcendental_Otan(v1) = v3 & c_Transcendental_Otan(v0) = v2 &
% 250.98/42.95 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1563_4, v2)
% 250.98/42.95 | = v3 & $i(v3) & $i(v2)))
% 250.98/42.95 |
% 250.98/42.95 | ALPHA: (631) implies:
% 250.98/42.95 | (632) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.95 | c_Transcendental_Opi, all_1563_1) = all_1563_0
% 250.98/42.95 | (633) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1563_2) =
% 250.98/42.95 | all_1563_1
% 250.98/42.95 | (634) c_Int_OBit0(all_1563_3) = all_1563_2
% 250.98/42.95 | (635) c_Int_OBit1(c_Int_OPls) = all_1563_3
% 250.98/42.95 |
% 250.98/42.95 | DELTA: instantiating (41) with fresh symbol all_1566_0 gives:
% 250.98/42.95 | (636) c_Int_OBit1(c_Int_OPls) = all_1566_0 & $i(all_1566_0) & ! [v0: $i] :
% 250.98/42.95 | ! [v1: $i] : ! [v2: any] : ( ~
% 250.98/42.95 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1566_0, v0) =
% 250.98/42.95 | v2) | ~ (class_Rings_Olinordered__idom(v1) = 0) | ~ $i(v1) | ~
% 250.98/42.95 | $i(v0) | ? [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: any] :
% 250.98/42.95 | (c_Groups_Oone__class_Oone(v1) = v4 &
% 250.98/42.95 | c_Orderings_Oord__class_Oless__eq(v1, v4, v5) = v6 &
% 250.98/42.95 | class_Int_Onumber__ring(v1) = v3 &
% 250.98/42.95 | c_Int_Onumber__class_Onumber__of(v1, v0) = v5 & $i(v5) & $i(v4) &
% 250.98/42.95 | ( ~ (v3 = 0) | (( ~ (v6 = 0) | v2 = 0) & ( ~ (v2 = 0) | v6 =
% 250.98/42.95 | 0)))))
% 250.98/42.95 |
% 250.98/42.95 | ALPHA: (636) implies:
% 250.98/42.95 | (637) c_Int_OBit1(c_Int_OPls) = all_1566_0
% 250.98/42.95 |
% 250.98/42.95 | DELTA: instantiating (58) with fresh symbol all_1575_0 gives:
% 250.98/42.95 | (638) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1575_0 &
% 250.98/42.95 | $i(all_1575_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 250.98/42.95 | int] : (v3 = 0 | ~
% 250.98/42.95 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2) | ~
% 250.98/42.95 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v0) = v3) | ~
% 250.98/42.95 | $i(v1) | ~ $i(v0) | ? [v4: $i] : ? [v5: int] : ( ~ (v5 = 0) &
% 250.98/42.95 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v4 &
% 250.98/42.95 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1575_0, v4) =
% 250.98/42.95 | v5 & $i(v4))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 250.98/42.95 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2) | ~
% 250.98/42.95 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v0) = 0) | ~
% 250.98/42.95 | $i(v1) | ~ $i(v0) | ? [v3: $i] :
% 250.98/42.95 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v3 &
% 250.98/42.95 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1575_0, v3) =
% 250.98/42.95 | 0 & $i(v3)))
% 250.98/42.95 |
% 250.98/42.95 | ALPHA: (638) implies:
% 250.98/42.95 | (639) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1575_0
% 250.98/42.95 |
% 250.98/42.95 | DELTA: instantiating (117) with fresh symbol all_1578_0 gives:
% 250.98/42.95 | (640) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1578_0 &
% 250.98/42.95 | $i(all_1578_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 250.98/42.95 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v1) | ~
% 250.98/42.95 | $i(v0) | ? [v2: any] : ? [v3: $i] : ? [v4: $i] : ? [v5: any] :
% 250.98/42.95 | ? [v6: $i] : ? [v7: $i] : ? [v8: any] :
% 250.98/42.95 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1578_0, v7) =
% 250.98/42.95 | v8 & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1578_0,
% 250.98/42.95 | v4) = v5 & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 250.98/42.95 | all_1578_0, v1) = v2 & c_Int_OBit1(v0) = v6 & c_Int_OBit0(v0) =
% 250.98/42.95 | v3 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v6) = v7 &
% 250.98/42.95 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v3) = v4 & $i(v7) &
% 250.98/42.95 | $i(v6) & $i(v4) & $i(v3) & ( ~ (v2 = 0) | (v8 = 0 & v5 = 0))))
% 250.98/42.95 |
% 250.98/42.95 | ALPHA: (640) implies:
% 250.98/42.95 | (641) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1578_0
% 250.98/42.95 |
% 250.98/42.95 | DELTA: instantiating (89) with fresh symbols all_1581_0, all_1581_1 gives:
% 250.98/42.95 | (642) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1581_1 &
% 250.98/42.95 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1581_0 &
% 250.98/42.95 | $i(all_1581_0) & $i(all_1581_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 250.98/42.95 | $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) |
% 250.98/42.95 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_1581_1, v0) = v1)
% 250.98/42.95 | | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 250.98/42.95 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, all_1581_0) = v4 &
% 250.98/42.95 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_1581_0) = v3 &
% 250.98/42.95 | ( ~ (v3 = 0) | v4 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 250.98/42.95 | $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) |
% 250.98/42.95 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_1581_1, v0) = v1)
% 250.98/42.95 | | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 250.98/42.95 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, all_1581_0) = v3 &
% 250.98/42.95 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_1581_0) = v4 &
% 250.98/42.95 | ( ~ (v3 = 0) | v4 = 0)))
% 250.98/42.95 |
% 250.98/42.95 | ALPHA: (642) implies:
% 250.98/42.95 | (643) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1581_0
% 250.98/42.95 | (644) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1581_1
% 250.98/42.95 |
% 250.98/42.95 | DELTA: instantiating (159) with fresh symbols all_1584_0, all_1584_1,
% 250.98/42.95 | all_1584_2, all_1584_3, all_1584_4 gives:
% 250.98/42.95 | (645) c_Int_OBit1(c_Int_OPls) = all_1584_3 & c_Int_OBit0(all_1584_3) =
% 250.98/42.95 | all_1584_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 250.98/42.95 | all_1584_2) = all_1584_1 &
% 250.98/42.95 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.95 | c_Transcendental_Opi, all_1584_1) = all_1584_0 &
% 250.98/42.95 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1584_4 &
% 250.98/42.95 | $i(all_1584_0) & $i(all_1584_1) & $i(all_1584_2) & $i(all_1584_3) &
% 250.98/42.95 | $i(all_1584_4) & ! [v0: $i] : ( ~
% 250.98/42.95 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1584_4, v0) =
% 250.98/42.95 | 0) | ~ $i(v0) | ? [v1: $i] : ? [v2: $i] :
% 250.98/42.95 | (c_Transcendental_Otan(v1) = v2 &
% 250.98/42.95 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1584_0) =
% 250.98/42.95 | 0 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) = 0 &
% 250.98/42.95 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1584_4, v1) =
% 250.98/42.95 | 0 & $i(v2) & $i(v1)))
% 250.98/42.95 |
% 250.98/42.95 | ALPHA: (645) implies:
% 250.98/42.95 | (646) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1584_4
% 250.98/42.95 | (647) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.95 | c_Transcendental_Opi, all_1584_1) = all_1584_0
% 250.98/42.95 | (648) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1584_2) =
% 250.98/42.95 | all_1584_1
% 250.98/42.95 | (649) c_Int_OBit0(all_1584_3) = all_1584_2
% 250.98/42.95 | (650) c_Int_OBit1(c_Int_OPls) = all_1584_3
% 250.98/42.95 |
% 250.98/42.95 | DELTA: instantiating (123) with fresh symbols all_1587_0, all_1587_1 gives:
% 250.98/42.95 | (651) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1587_0 &
% 250.98/42.95 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1587_1 &
% 250.98/42.95 | $i(all_1587_0) & $i(all_1587_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 250.98/42.95 | $i] : ! [v3: int] : (v3 = 0 | ~
% 250.98/42.95 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1587_0) =
% 250.98/42.95 | v3) | ~ (hAPP(all_1587_1, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 250.98/42.95 | [v4: $i] : ? [v5: any] : ? [v6: $i] : ? [v7: $i] :
% 250.98/42.95 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v_r) = v5
% 250.98/42.95 | & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) = v7 &
% 250.98/42.95 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v6 &
% 250.98/42.95 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v4 &
% 250.98/42.95 | $i(v7) & $i(v6) & $i(v4) & ( ~ (v7 = v6) | ~ (v5 = 0))))
% 250.98/42.95 |
% 250.98/42.95 | ALPHA: (651) implies:
% 250.98/42.95 | (652) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1587_1
% 250.98/42.95 |
% 250.98/42.95 | DELTA: instantiating (151) with fresh symbols all_1590_0, all_1590_1,
% 250.98/42.95 | all_1590_2, all_1590_3, all_1590_4 gives:
% 250.98/42.95 | (653) c_Int_OBit1(c_Int_OPls) = all_1590_3 & c_Int_OBit0(all_1590_3) =
% 250.98/42.95 | all_1590_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 250.98/42.95 | all_1590_2) = all_1590_1 &
% 250.98/42.95 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.95 | c_Transcendental_Opi, all_1590_1) = all_1590_0 &
% 250.98/42.95 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1590_4 &
% 250.98/42.95 | $i(all_1590_0) & $i(all_1590_1) & $i(all_1590_2) & $i(all_1590_3) &
% 250.98/42.95 | $i(all_1590_4) & ! [v0: $i] : ( ~
% 250.98/42.95 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1590_0) =
% 250.98/42.95 | 0) | ~ $i(v0) | ? [v1: any] : ? [v2: $i] : ? [v3: any] :
% 250.98/42.95 | (c_Transcendental_Otan(v0) = v2 &
% 250.98/42.95 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1590_4, v2) =
% 250.98/42.95 | v3 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1590_4,
% 250.98/42.95 | v0) = v1 & $i(v2) & ( ~ (v1 = 0) | v3 = 0)))
% 250.98/42.95 |
% 250.98/42.95 | ALPHA: (653) implies:
% 250.98/42.95 | (654) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1590_4
% 250.98/42.95 | (655) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.95 | c_Transcendental_Opi, all_1590_1) = all_1590_0
% 250.98/42.95 | (656) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1590_2) =
% 250.98/42.95 | all_1590_1
% 250.98/42.95 | (657) c_Int_OBit0(all_1590_3) = all_1590_2
% 250.98/42.95 | (658) c_Int_OBit1(c_Int_OPls) = all_1590_3
% 250.98/42.95 |
% 250.98/42.95 | DELTA: instantiating (137) with fresh symbol all_1593_0 gives:
% 250.98/42.95 | (659) c_Int_OBit1(c_Int_OPls) = all_1593_0 & $i(all_1593_0) & ! [v0: $i] :
% 250.98/42.95 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: any]
% 250.98/42.95 | : ( ~ (c_Int_Oiszero(v1, v4) = v5) | ~
% 250.98/42.95 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_1593_0, v2) = v3) |
% 250.98/42.95 | ~ (c_Int_Onumber__class_Onumber__of(v1, v3) = v4) | ~
% 250.98/42.95 | (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v2) | ~ $i(v1)
% 250.98/42.95 | | ~ $i(v0) | ? [v6: any] : ? [v7: $i] : ? [v8: $i] :
% 250.98/42.95 | (c_Groups_Oone__class_Oone(v1) = v7 & class_Int_Onumber__ring(v1) =
% 250.98/42.95 | v6 & c_Int_Onumber__class_Onumber__of(v1, v0) = v8 & $i(v8) &
% 250.98/42.95 | $i(v7) & ( ~ (v6 = 0) | (( ~ (v8 = v7) | v5 = 0) & ( ~ (v5 = 0) |
% 250.98/42.95 | v8 = v7)))))
% 250.98/42.95 |
% 250.98/42.95 | ALPHA: (659) implies:
% 250.98/42.95 | (660) c_Int_OBit1(c_Int_OPls) = all_1593_0
% 250.98/42.95 |
% 250.98/42.95 | DELTA: instantiating (98) with fresh symbol all_1596_0 gives:
% 250.98/42.95 | (661) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1596_0 &
% 250.98/42.95 | $i(all_1596_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 250.98/42.95 | int] : (v3 = 0 | ~
% 250.98/42.95 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) = v3)
% 250.98/42.95 | | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2) |
% 250.98/42.95 | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : ? [v5: int] : ( ~ (v5 = 0) &
% 250.98/42.95 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v4 &
% 250.98/42.95 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4,
% 250.98/42.95 | all_1596_0) = v5 & $i(v4))) & ! [v0: $i] : ! [v1: $i] : !
% 250.98/42.95 | [v2: $i] : ( ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 250.98/42.95 | v0, v2) = 0) | ~
% 250.98/42.95 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2) | ~
% 250.98/42.95 | $i(v1) | ~ $i(v0) | ? [v3: $i] :
% 250.98/42.95 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v3 &
% 250.98/42.95 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3,
% 250.98/42.95 | all_1596_0) = 0 & $i(v3)))
% 250.98/42.95 |
% 250.98/42.95 | ALPHA: (661) implies:
% 250.98/42.95 | (662) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1596_0
% 250.98/42.95 |
% 250.98/42.95 | DELTA: instantiating (57) with fresh symbol all_1602_0 gives:
% 250.98/42.95 | (663) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1602_0 &
% 250.98/42.95 | $i(all_1602_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 250.98/42.95 | int] : (v3 = 0 | ~
% 250.98/42.95 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2) | ~
% 250.98/42.95 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) = v3) | ~
% 250.98/42.95 | $i(v1) | ~ $i(v0) | ? [v4: $i] : ? [v5: int] : ( ~ (v5 = 0) &
% 250.98/42.95 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v4 &
% 250.98/42.95 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, all_1602_0) =
% 250.98/42.95 | v5 & $i(v4))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 250.98/42.95 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2) | ~
% 250.98/42.95 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) = 0) | ~
% 250.98/42.95 | $i(v1) | ~ $i(v0) | ? [v3: $i] :
% 250.98/42.95 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v3 &
% 250.98/42.95 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, all_1602_0) =
% 250.98/42.95 | 0 & $i(v3)))
% 250.98/42.95 |
% 250.98/42.95 | ALPHA: (663) implies:
% 250.98/42.95 | (664) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1602_0
% 250.98/42.95 |
% 250.98/42.95 | DELTA: instantiating (99) with fresh symbol all_1605_0 gives:
% 250.98/42.95 | (665) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1605_0 &
% 250.98/42.95 | $i(all_1605_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 250.98/42.95 | int] : (v3 = 0 | ~
% 250.98/42.95 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) = v3)
% 250.98/42.95 | | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2) |
% 250.98/42.95 | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : ? [v5: int] : ( ~ (v5 = 0) &
% 250.98/42.95 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v4 &
% 250.98/42.95 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1605_0,
% 250.98/42.95 | v4) = v5 & $i(v4))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 250.98/42.95 | ( ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) = 0)
% 250.98/42.95 | | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2) |
% 250.98/42.95 | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] :
% 250.98/42.95 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v3 &
% 250.98/42.95 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1605_0,
% 250.98/42.95 | v3) = 0 & $i(v3)))
% 250.98/42.95 |
% 250.98/42.95 | ALPHA: (665) implies:
% 250.98/42.95 | (666) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1605_0
% 250.98/42.95 |
% 250.98/42.95 | DELTA: instantiating (145) with fresh symbols all_1608_0, all_1608_1,
% 250.98/42.95 | all_1608_2, all_1608_3, all_1608_4 gives:
% 250.98/42.95 | (667) c_Int_OBit1(c_Int_OPls) = all_1608_4 & c_Int_OBit0(all_1608_4) =
% 250.98/42.95 | all_1608_3 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 250.98/42.95 | all_1608_3) = all_1608_2 &
% 250.98/42.95 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.95 | c_Transcendental_Opi, all_1608_2) = all_1608_1 &
% 250.98/42.95 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1608_1) =
% 250.98/42.95 | all_1608_0 & $i(all_1608_0) & $i(all_1608_1) & $i(all_1608_2) &
% 250.98/42.95 | $i(all_1608_3) & $i(all_1608_4) & ! [v0: $i] : ( ~
% 250.98/42.95 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1608_0, v0) =
% 250.98/42.95 | 0) | ~ $i(v0) | ? [v1: any] : ? [v2: $i] : ? [v3: $i] :
% 250.98/42.95 | (c_Transcendental_Otan(v0) = v2 & c_Transcendental_Oarctan(v2) = v3
% 250.98/42.95 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1608_1)
% 250.98/42.95 | = v1 & $i(v3) & $i(v2) & ( ~ (v1 = 0) | v3 = v0)))
% 250.98/42.95 |
% 250.98/42.95 | ALPHA: (667) implies:
% 250.98/42.95 | (668) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.95 | c_Transcendental_Opi, all_1608_2) = all_1608_1
% 250.98/42.95 | (669) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1608_3) =
% 250.98/42.95 | all_1608_2
% 250.98/42.95 | (670) c_Int_OBit0(all_1608_4) = all_1608_3
% 250.98/42.95 | (671) c_Int_OBit1(c_Int_OPls) = all_1608_4
% 250.98/42.95 |
% 250.98/42.95 | DELTA: instantiating (146) with fresh symbols all_1611_0, all_1611_1,
% 250.98/42.95 | all_1611_2, all_1611_3, all_1611_4 gives:
% 250.98/42.96 | (672) c_Int_OBit1(c_Int_OPls) = all_1611_4 & c_Int_OBit0(all_1611_4) =
% 250.98/42.96 | all_1611_3 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 250.98/42.96 | all_1611_3) = all_1611_2 &
% 250.98/42.96 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.96 | c_Transcendental_Opi, all_1611_2) = all_1611_1 &
% 250.98/42.96 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1611_1) =
% 250.98/42.96 | all_1611_0 & $i(all_1611_0) & $i(all_1611_1) & $i(all_1611_2) &
% 250.98/42.96 | $i(all_1611_3) & $i(all_1611_4) & ! [v0: $i] : ! [v1: $i] : ( ~
% 250.98/42.96 | (c_Transcendental_Oarctan(v0) = v1) | ~ $i(v0) |
% 250.98/42.96 | c_Transcendental_Otan(v1) = v0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 250.98/42.96 | (c_Transcendental_Oarctan(v0) = v1) | ~ $i(v0) |
% 250.98/42.96 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1611_1) =
% 250.98/42.96 | 0) & ! [v0: $i] : ! [v1: $i] : ( ~ (c_Transcendental_Oarctan(v0)
% 250.98/42.96 | = v1) | ~ $i(v0) |
% 250.98/42.96 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1611_0, v1) =
% 250.98/42.96 | 0)
% 250.98/42.96 |
% 250.98/42.96 | ALPHA: (672) implies:
% 250.98/42.96 | (673) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.96 | c_Transcendental_Opi, all_1611_2) = all_1611_1
% 250.98/42.96 | (674) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1611_3) =
% 250.98/42.96 | all_1611_2
% 250.98/42.96 | (675) c_Int_OBit0(all_1611_4) = all_1611_3
% 250.98/42.96 | (676) c_Int_OBit1(c_Int_OPls) = all_1611_4
% 250.98/42.96 |
% 250.98/42.96 | DELTA: instantiating (18) with fresh symbols all_1617_0, all_1617_1 gives:
% 250.98/42.96 | (677) c_Int_OBit1(c_Int_OPls) = all_1617_1 & c_Int_OBit0(all_1617_1) =
% 250.98/42.96 | all_1617_0 & $i(all_1617_0) & $i(all_1617_1) & ! [v0: $i] : ! [v1:
% 250.98/42.96 | $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: any] : ( ~
% 250.98/42.96 | (c_Int_Onumber__class_Onumber__of(v1, all_1617_0) = v3) | ~
% 250.98/42.96 | (c_Rings_Oinverse__class_Odivide(v1, v0, v3) = v4) | ~
% 250.98/42.96 | (c_Groups_Ozero__class_Ozero(v1) = v2) | ~
% 250.98/42.96 | (c_Orderings_Oord__class_Oless(v1, v2, v4) = v5) | ~ $i(v1) | ~
% 250.98/42.96 | $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 250.98/42.96 | (class_Fields_Olinordered__field__inverse__zero(v1) = v6 &
% 250.98/42.96 | class_Int_Onumber__ring(v1) = v7 &
% 250.98/42.96 | c_Orderings_Oord__class_Oless(v1, v2, v0) = v8 & ( ~ (v7 = 0) |
% 250.98/42.96 | ~ (v6 = 0) | (( ~ (v8 = 0) | v5 = 0) & ( ~ (v5 = 0) | v8 =
% 250.98/42.96 | 0)))))
% 250.98/42.96 |
% 250.98/42.96 | ALPHA: (677) implies:
% 250.98/42.96 | (678) c_Int_OBit0(all_1617_1) = all_1617_0
% 250.98/42.96 | (679) c_Int_OBit1(c_Int_OPls) = all_1617_1
% 250.98/42.96 |
% 250.98/42.96 | DELTA: instantiating (138) with fresh symbols all_1623_0, all_1623_1 gives:
% 250.98/42.96 | (680) c_Int_OBit1(c_Int_OPls) = all_1623_1 &
% 250.98/42.96 | c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, all_1623_1) = all_1623_0
% 250.98/42.96 | & $i(all_1623_0) & $i(all_1623_1) & ! [v0: $i] : ! [v1: $i] : !
% 250.98/42.96 | [v2: $i] : ! [v3: $i] : ! [v4: any] : ( ~ (c_Int_Oiszero(v1, v3) =
% 250.98/42.96 | v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0,
% 250.98/42.96 | all_1623_0) = v2) | ~ (c_Int_Onumber__class_Onumber__of(v1,
% 250.98/42.96 | v2) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: $i]
% 250.98/42.96 | : ? [v7: $i] : (c_Groups_Oone__class_Oone(v1) = v7 &
% 250.98/42.96 | class_Int_Onumber__ring(v1) = v5 &
% 250.98/42.96 | c_Int_Onumber__class_Onumber__of(v1, v0) = v6 & $i(v7) & $i(v6) &
% 250.98/42.96 | ( ~ (v5 = 0) | (( ~ (v7 = v6) | v4 = 0) & ( ~ (v4 = 0) | v7 =
% 250.98/42.96 | v6)))))
% 250.98/42.96 |
% 250.98/42.96 | ALPHA: (680) implies:
% 250.98/42.96 | (681) c_Int_OBit1(c_Int_OPls) = all_1623_1
% 250.98/42.96 |
% 250.98/42.96 | DELTA: instantiating (181) with fresh symbols all_1629_0, all_1629_1,
% 250.98/42.96 | all_1629_2, all_1629_3, all_1629_4, all_1629_5 gives:
% 250.98/42.96 | (682) c_Int_OBit1(c_Int_OPls) = all_1629_5 & c_Int_OBit0(all_1629_5) =
% 250.98/42.96 | all_1629_4 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 250.98/42.96 | all_1629_4) = all_1629_3 &
% 250.98/42.96 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.96 | c_Transcendental_Opi, all_1629_3) = all_1629_2 &
% 250.98/42.96 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1629_0 &
% 250.98/42.96 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1629_2) =
% 250.98/42.96 | all_1629_1 & $i(all_1629_0) & $i(all_1629_1) & $i(all_1629_2) &
% 250.98/42.96 | $i(all_1629_3) & $i(all_1629_4) & $i(all_1629_5) & ! [v0: $i] : ( ~
% 250.98/42.96 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1629_1, v0) =
% 250.98/42.96 | 0) | ~ $i(v0) | ? [v1: any] : ? [v2: $i] : ? [v3: any] :
% 250.98/42.96 | (c_Transcendental_Ocos(v0) = v2 &
% 250.98/42.96 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1629_2) =
% 250.98/42.96 | v1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1629_0,
% 250.98/42.96 | v2) = v3 & $i(v2) & ( ~ (v1 = 0) | v3 = 0)))
% 250.98/42.96 |
% 250.98/42.96 | ALPHA: (682) implies:
% 250.98/42.96 | (683) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1629_0
% 250.98/42.96 | (684) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.96 | c_Transcendental_Opi, all_1629_3) = all_1629_2
% 250.98/42.96 | (685) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1629_4) =
% 250.98/42.96 | all_1629_3
% 250.98/42.96 | (686) c_Int_OBit0(all_1629_5) = all_1629_4
% 250.98/42.96 | (687) c_Int_OBit1(c_Int_OPls) = all_1629_5
% 250.98/42.96 |
% 250.98/42.96 | DELTA: instantiating (136) with fresh symbols all_1632_0, all_1632_1,
% 250.98/42.96 | all_1632_2 gives:
% 250.98/42.96 | (688) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1632_2, v_r)
% 250.98/42.96 | = all_1632_1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 250.98/42.96 | all_1632_2 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) =
% 250.98/42.96 | all_1632_0 & $i(all_1632_0) & $i(all_1632_2) & (all_1632_1 = 0 | ?
% 250.98/42.96 | [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 250.98/42.96 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 &
% 250.98/42.96 | hAPP(all_1632_0, v0) = v1 & $i(v2) & $i(v1) & $i(v0) & ! [v3:
% 250.98/42.96 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: int] : (v6 = 0 | ~
% 250.98/42.96 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v5) =
% 250.98/42.96 | v6) | ~
% 250.98/42.96 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5)
% 250.98/42.96 | | ~ (hAPP(all_1632_0, v3) = v4) | ~ $i(v3) | ? [v7: $i] : ?
% 250.98/42.96 | [v8: int] : ( ~ (v8 = 0) &
% 250.98/42.96 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7, v_r)
% 250.98/42.96 | = v8 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 250.98/42.96 | v3) = v7 & $i(v7)))))
% 250.98/42.96 |
% 250.98/42.96 | ALPHA: (688) implies:
% 250.98/42.96 | (689) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1632_0
% 250.98/42.96 | (690) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1632_2
% 250.98/42.96 |
% 250.98/42.96 | DELTA: instantiating (147) with fresh symbols all_1634_0, all_1634_1,
% 250.98/42.96 | all_1634_2, all_1634_3, all_1634_4, all_1634_5 gives:
% 250.98/42.96 | (691) c_Int_OBit1(c_Int_OPls) = all_1634_4 & c_Int_OBit0(all_1634_4) =
% 250.98/42.96 | all_1634_3 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 250.98/42.96 | all_1634_3) = all_1634_2 &
% 250.98/42.96 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1634_5,
% 250.98/42.96 | all_1634_2) = all_1634_1 &
% 250.98/42.96 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1634_0 &
% 250.98/42.96 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 250.98/42.96 | c_Transcendental_Opi) = all_1634_5 & $i(all_1634_0) &
% 250.98/42.96 | $i(all_1634_1) & $i(all_1634_2) & $i(all_1634_3) & $i(all_1634_4) &
% 250.98/42.96 | $i(all_1634_5) & ! [v0: $i] : ( ~
% 250.98/42.96 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1634_1, v0) =
% 250.98/42.96 | 0) | ~ $i(v0) | ? [v1: any] : ? [v2: $i] : ? [v3: any] :
% 250.98/42.96 | (c_Transcendental_Otan(v0) = v2 &
% 250.98/42.96 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, all_1634_0) =
% 250.98/42.96 | v3 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 250.98/42.96 | all_1634_0) = v1 & $i(v2) & ( ~ (v1 = 0) | v3 = 0)))
% 250.98/42.96 |
% 250.98/42.96 | ALPHA: (691) implies:
% 250.98/42.96 | (692) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1634_0
% 250.98/42.96 | (693) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1634_3) =
% 250.98/42.96 | all_1634_2
% 250.98/42.96 | (694) c_Int_OBit0(all_1634_4) = all_1634_3
% 250.98/42.96 | (695) c_Int_OBit1(c_Int_OPls) = all_1634_4
% 250.98/42.96 |
% 250.98/42.96 | DELTA: instantiating (180) with fresh symbols all_1637_0, all_1637_1,
% 250.98/42.96 | all_1637_2, all_1637_3, all_1637_4 gives:
% 250.98/42.96 | (696) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1637_3 &
% 250.98/42.96 | c_Int_OBit1(c_Int_OPls) = all_1637_2 & c_Int_OBit0(all_1637_2) =
% 250.98/42.96 | all_1637_1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 250.98/42.96 | all_1637_1) = all_1637_0 &
% 250.98/42.96 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1637_4 &
% 250.98/42.96 | $i(all_1637_0) & $i(all_1637_1) & $i(all_1637_2) & $i(all_1637_3) &
% 250.98/42.96 | $i(all_1637_4) & ! [v0: any] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 250.98/42.96 | $i] : ! [v4: $i] : ! [v5: $i] : (v0 = all_1637_4 | ~
% 250.98/42.96 | (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v0) = v1) | ~
% 250.98/42.96 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1,
% 250.98/42.96 | c_Transcendental_Opi) = v2) | ~ (c_Transcendental_Oarctan(v0)
% 250.98/42.96 | = v4) | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2,
% 250.98/42.96 | all_1637_0) = v3) | ~
% 250.98/42.96 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v4) = v5) | ~
% 250.98/42.96 | $i(v0) | ? [v6: $i] : (c_Transcendental_Oarctan(v6) = v5 &
% 250.98/42.96 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1637_3, v0)
% 250.98/42.96 | = v6 & $i(v6) & $i(v5)))
% 250.98/42.96 |
% 250.98/42.96 | ALPHA: (696) implies:
% 250.98/42.96 | (697) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1637_4
% 250.98/42.96 | (698) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1637_1) =
% 250.98/42.96 | all_1637_0
% 250.98/42.96 | (699) c_Int_OBit0(all_1637_2) = all_1637_1
% 250.98/42.96 | (700) c_Int_OBit1(c_Int_OPls) = all_1637_2
% 250.98/42.96 |
% 250.98/42.96 | DELTA: instantiating (155) with fresh symbols all_1652_0, all_1652_1,
% 250.98/42.96 | all_1652_2, all_1652_3, all_1652_4, all_1652_5, all_1652_6 gives:
% 250.98/42.96 | (701) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1652_6 &
% 250.98/42.96 | c_Int_OBit1(c_Int_OPls) = all_1652_5 & c_Int_OBit0(all_1652_4) =
% 250.98/42.96 | all_1652_3 & c_Int_OBit0(all_1652_5) = all_1652_4 &
% 250.98/42.96 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1652_3) =
% 250.98/42.96 | all_1652_2 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.96 | c_Transcendental_Opi, all_1652_2) = all_1652_1 &
% 250.98/42.96 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1652_1) =
% 250.98/42.96 | all_1652_0 & $i(all_1652_0) & $i(all_1652_1) & $i(all_1652_2) &
% 250.98/42.96 | $i(all_1652_3) & $i(all_1652_4) & $i(all_1652_5) & $i(all_1652_6) &
% 250.98/42.96 | ! [v0: $i] : ! [v1: $i] : ( ~
% 250.98/42.96 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v1) | ~ $i(v0)
% 250.98/42.96 | | ? [v2: int] : ( ~ (v2 = 0) &
% 250.98/42.96 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1652_6) =
% 250.98/42.96 | v2) | ? [v2: $i] : (c_Transcendental_Otan(v2) = v0 &
% 250.98/42.96 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, all_1652_1) =
% 250.98/42.96 | 0 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1652_0,
% 250.98/42.96 | v2) = 0 & $i(v2)))
% 250.98/42.96 |
% 250.98/42.96 | ALPHA: (701) implies:
% 250.98/42.96 | (702) c_Int_OBit0(all_1652_5) = all_1652_4
% 250.98/42.96 | (703) c_Int_OBit1(c_Int_OPls) = all_1652_5
% 250.98/42.96 |
% 250.98/42.96 | DELTA: instantiating (152) with fresh symbols all_1658_0, all_1658_1,
% 250.98/42.96 | all_1658_2, all_1658_3, all_1658_4 gives:
% 250.98/42.96 | (704) c_Int_OBit1(c_Int_OPls) = all_1658_4 & c_Int_OBit0(all_1658_4) =
% 250.98/42.96 | all_1658_3 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 250.98/42.96 | all_1658_3) = all_1658_2 &
% 250.98/42.96 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.96 | c_Transcendental_Opi, all_1658_2) = all_1658_1 &
% 250.98/42.96 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1658_1) =
% 250.98/42.96 | all_1658_0 & $i(all_1658_0) & $i(all_1658_1) & $i(all_1658_2) &
% 250.98/42.96 | $i(all_1658_3) & $i(all_1658_4) & ! [v0: $i] : ! [v1: $i] : ( ~
% 250.98/42.96 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1658_1) =
% 250.98/42.96 | 0) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.98/42.96 | all_1658_0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] :
% 250.98/42.96 | ? [v3: $i] : ? [v4: $i] : ? [v5: any] :
% 250.98/42.96 | (c_Transcendental_Otan(v1) = v3 & c_Transcendental_Otan(v0) = v4 &
% 250.98/42.96 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v4) = v5 &
% 250.98/42.96 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) = v2 &
% 250.98/42.96 | $i(v4) & $i(v3) & ( ~ (v2 = 0) | v5 = 0)))
% 250.98/42.96 |
% 250.98/42.96 | ALPHA: (704) implies:
% 250.98/42.96 | (705) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.96 | c_Transcendental_Opi, all_1658_2) = all_1658_1
% 250.98/42.96 | (706) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1658_3) =
% 250.98/42.96 | all_1658_2
% 250.98/42.96 | (707) c_Int_OBit0(all_1658_4) = all_1658_3
% 250.98/42.96 | (708) c_Int_OBit1(c_Int_OPls) = all_1658_4
% 250.98/42.96 |
% 250.98/42.96 | DELTA: instantiating (130) with fresh symbols all_1661_0, all_1661_1,
% 250.98/42.96 | all_1661_2 gives:
% 250.98/42.96 | (709) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1661_0 &
% 250.98/42.96 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1661_2 &
% 250.98/42.96 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 250.98/42.96 | all_1661_1 & $i(all_1661_0) & $i(all_1661_1) & $i(all_1661_2) & ?
% 250.98/42.96 | [v0: $i] : ($i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : !
% 250.98/42.96 | [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] :
% 250.98/42.96 | ! [v9: int] : (v9 = 0 | ~ (c_Nat_OSuc(v1) = v5) | ~
% 250.98/42.96 | (c_RealDef_Oreal(tc_Nat_Onat, v5) = v6) | ~
% 250.98/42.96 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1661_1, v7) =
% 250.98/42.96 | v8) | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.96 | all_1661_0, v6) = v7) | ~
% 250.98/42.96 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4) |
% 250.98/42.96 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v8) = v9)
% 250.98/42.96 | | ~ (hAPP(v0, v1) = v2) | ~ (hAPP(all_1661_2, v2) = v3) | ~
% 250.98/42.96 | $i(v1)) & ! [v1: $i] : ! [v2: $i] : ( ~ (hAPP(v0, v1) = v2) |
% 250.98/42.96 | ~ $i(v1) | ? [v3: $i] :
% 250.98/42.96 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v_r) = 0
% 250.98/42.96 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3
% 250.98/42.96 | & $i(v3))))
% 250.98/42.96 |
% 250.98/42.96 | ALPHA: (709) implies:
% 250.98/42.96 | (710) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 250.98/42.96 | all_1661_1
% 250.98/42.96 | (711) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1661_2
% 250.98/42.96 |
% 250.98/42.96 | DELTA: instantiating (31) with fresh symbol all_1663_0 gives:
% 250.98/42.96 | (712) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1663_0 &
% 250.98/42.96 | $i(all_1663_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 250.98/42.96 | $i] : ! [v4: $i] : ( ~ (c_Polynomial_Opoly(v2, v1) = v3) | ~
% 250.98/42.96 | (hAPP(v3, v0) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5:
% 250.98/42.96 | any] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 250.98/42.96 | (c_Polynomial_Oorder(v2, v0, v1) = v9 & class_Rings_Oidom(v2) = v5
% 250.98/42.96 | & tc_Polynomial_Opoly(v2) = v7 & c_Groups_Ozero__class_Ozero(v7)
% 250.98/42.96 | = v8 & c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v9) & $i(v8) &
% 250.98/42.96 | $i(v7) & $i(v6) & ( ~ (v5 = 0) | (( ~ (v9 = all_1663_0) | ~ (v6
% 250.98/42.96 | = v4) | v8 = v1) & (v6 = v4 | (v9 = all_1663_0 & ~ (v8 =
% 250.98/42.96 | v1)))))))
% 250.98/42.96 |
% 250.98/42.96 | ALPHA: (712) implies:
% 250.98/42.96 | (713) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 250.98/42.96 | ( ~ (c_Polynomial_Opoly(v2, v1) = v3) | ~ (hAPP(v3, v0) = v4) | ~
% 250.98/42.96 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: $i] : ?
% 250.98/42.96 | [v7: $i] : ? [v8: $i] : ? [v9: $i] : (c_Polynomial_Oorder(v2, v0,
% 250.98/42.96 | v1) = v9 & class_Rings_Oidom(v2) = v5 & tc_Polynomial_Opoly(v2)
% 250.98/42.96 | = v7 & c_Groups_Ozero__class_Ozero(v7) = v8 &
% 250.98/42.96 | c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v9) & $i(v8) & $i(v7) &
% 250.98/42.96 | $i(v6) & ( ~ (v5 = 0) | (( ~ (v9 = all_1663_0) | ~ (v6 = v4) |
% 250.98/42.96 | v8 = v1) & (v6 = v4 | (v9 = all_1663_0 & ~ (v8 = v1)))))))
% 250.98/42.96 |
% 250.98/42.96 | DELTA: instantiating (5) with fresh symbols all_1666_0, all_1666_1,
% 250.98/42.96 | all_1666_2, all_1666_3, all_1666_4, all_1666_5, all_1666_6, all_1666_7,
% 250.98/42.96 | all_1666_8, all_1666_9, all_1666_10 gives:
% 250.98/42.96 | (714) c_Int_OBit1(c_Int_OPls) = all_1666_3 & c_Int_OBit0(all_1666_3) =
% 250.98/42.96 | all_1666_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 250.98/42.96 | all_1666_2) = all_1666_1 &
% 250.98/42.96 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1666_4,
% 250.98/42.96 | all_1666_1) = all_1666_0 &
% 250.98/42.96 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1666_10 &
% 250.98/42.96 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1666_9 &
% 250.98/42.96 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 250.98/42.96 | all_1666_6 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1666_5)
% 250.98/42.96 | = all_1666_4 & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,
% 250.98/42.96 | all_1666_7, all_1666_6) = all_1666_5 &
% 250.98/42.96 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1666_8) =
% 250.98/42.96 | all_1666_7 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.98/42.96 | all_1666_10, all_1666_0) = 0 & hAPP(all_1666_9, v_z____) =
% 250.98/42.96 | all_1666_8 & $i(all_1666_0) & $i(all_1666_1) & $i(all_1666_2) &
% 250.98/42.96 | $i(all_1666_3) & $i(all_1666_4) & $i(all_1666_5) & $i(all_1666_6) &
% 250.98/42.96 | $i(all_1666_7) & $i(all_1666_8) & $i(all_1666_9) & $i(all_1666_10)
% 250.98/42.96 |
% 250.98/42.96 | ALPHA: (714) implies:
% 250.98/42.96 | (715) $i(all_1666_8)
% 250.98/42.96 | (716) hAPP(all_1666_9, v_z____) = all_1666_8
% 250.98/42.96 | (717) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1666_10,
% 250.98/42.96 | all_1666_0) = 0
% 250.98/42.96 | (718) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1666_8) =
% 250.98/42.96 | all_1666_7
% 250.98/42.96 | (719) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1666_7,
% 250.98/42.96 | all_1666_6) = all_1666_5
% 250.98/42.96 | (720) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1666_5) = all_1666_4
% 250.98/42.96 | (721) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 250.98/42.96 | all_1666_6
% 250.98/42.96 | (722) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1666_9
% 250.98/42.96 | (723) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1666_10
% 250.98/42.96 | (724) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1666_4,
% 250.98/42.96 | all_1666_1) = all_1666_0
% 250.98/42.96 | (725) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1666_2) =
% 250.98/42.96 | all_1666_1
% 250.98/42.96 | (726) c_Int_OBit0(all_1666_3) = all_1666_2
% 250.98/42.96 | (727) c_Int_OBit1(c_Int_OPls) = all_1666_3
% 250.98/42.96 |
% 250.98/42.96 | DELTA: instantiating (131) with fresh symbols all_1668_0, all_1668_1,
% 250.98/42.96 | all_1668_2 gives:
% 250.98/42.96 | (728) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1668_0 &
% 250.98/42.96 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1668_2 &
% 250.98/42.96 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 250.98/42.96 | all_1668_1 & $i(all_1668_0) & $i(all_1668_1) & $i(all_1668_2) & !
% 250.98/42.96 | [v0: $i] : ! [v1: $i] : ( ~ (c_Nat_OSuc(v0) = v1) | ~ $i(v0) | ?
% 250.98/42.96 | [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.98/42.96 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2 &
% 250.98/42.96 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1668_1, v3) =
% 250.98/42.96 | v4 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.96 | all_1668_0, v2) = v3 & $i(v4) & $i(v3) & $i(v2) & ? [v5: $i] :
% 250.98/42.96 | ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 250.98/42.96 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v_r) = 0
% 250.98/42.96 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v7) = v8
% 250.98/42.96 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6
% 250.98/42.96 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v4) = 0 &
% 250.98/42.96 | hAPP(all_1668_2, v5) = v7 & $i(v8) & $i(v7) & $i(v6) &
% 250.98/42.96 | $i(v5))))
% 250.98/42.96 |
% 250.98/42.96 | ALPHA: (728) implies:
% 250.98/42.96 | (729) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 250.98/42.96 | all_1668_1
% 250.98/42.96 | (730) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1668_2
% 250.98/42.96 |
% 250.98/42.96 | DELTA: instantiating (158) with fresh symbols all_1671_0, all_1671_1,
% 250.98/42.96 | all_1671_2, all_1671_3, all_1671_4 gives:
% 250.98/42.96 | (731) c_Int_OBit1(c_Int_OPls) = all_1671_4 & c_Int_OBit0(all_1671_4) =
% 250.98/42.96 | all_1671_3 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 250.98/42.96 | all_1671_3) = all_1671_2 &
% 250.98/42.96 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.96 | c_Transcendental_Opi, all_1671_2) = all_1671_1 &
% 250.98/42.96 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1671_1) =
% 250.98/42.96 | all_1671_0 & $i(all_1671_0) & $i(all_1671_1) & $i(all_1671_2) &
% 250.98/42.96 | $i(all_1671_3) & $i(all_1671_4) & ? [v0: $i] : ( ~ $i(v0) | ? [v1:
% 250.98/42.96 | $i] : (c_Transcendental_Otan(v1) = v0 &
% 250.98/42.96 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1671_1) =
% 250.98/42.96 | 0 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1671_0,
% 250.98/42.96 | v1) = 0 & $i(v1) & ! [v2: $i] : (v2 = v1 | ~
% 250.98/42.96 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1671_0,
% 250.98/42.96 | v2) = 0) | ~ $i(v2) | ? [v3: any] : ? [v4: $i] :
% 250.98/42.96 | (c_Transcendental_Otan(v2) = v4 &
% 250.98/42.96 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2,
% 250.98/42.96 | all_1671_1) = v3 & $i(v4) & ( ~ (v4 = v0) | ~ (v3 =
% 250.98/42.96 | 0))))))
% 250.98/42.96 |
% 250.98/42.96 | ALPHA: (731) implies:
% 250.98/42.96 | (732) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.96 | c_Transcendental_Opi, all_1671_2) = all_1671_1
% 250.98/42.96 | (733) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1671_3) =
% 250.98/42.96 | all_1671_2
% 250.98/42.96 | (734) c_Int_OBit0(all_1671_4) = all_1671_3
% 250.98/42.96 | (735) c_Int_OBit1(c_Int_OPls) = all_1671_4
% 250.98/42.96 |
% 250.98/42.96 | DELTA: instantiating (131) with fresh symbols all_1673_0, all_1673_1,
% 250.98/42.96 | all_1673_2 gives:
% 250.98/42.97 | (736) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1673_0 &
% 250.98/42.97 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1673_2 &
% 250.98/42.97 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 250.98/42.97 | all_1673_1 & $i(all_1673_0) & $i(all_1673_1) & $i(all_1673_2) & !
% 250.98/42.97 | [v0: $i] : ! [v1: $i] : ( ~ (c_Nat_OSuc(v0) = v1) | ~ $i(v0) | ?
% 250.98/42.97 | [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 250.98/42.97 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2 &
% 250.98/42.97 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1673_1, v3) =
% 250.98/42.97 | v4 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 250.98/42.97 | all_1673_0, v2) = v3 & $i(v4) & $i(v3) & $i(v2) & ? [v5: $i] :
% 250.98/42.97 | ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 250.98/42.97 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v_r) = 0
% 250.98/42.97 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v7) = v8
% 250.98/42.97 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6
% 250.98/42.97 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v4) = 0 &
% 250.98/42.97 | hAPP(all_1673_2, v5) = v7 & $i(v8) & $i(v7) & $i(v6) &
% 250.98/42.97 | $i(v5))))
% 250.98/42.97 |
% 250.98/42.97 | ALPHA: (736) implies:
% 250.98/42.97 | (737) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 250.98/42.97 | all_1673_1
% 250.98/42.97 | (738) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1673_2
% 250.98/42.97 |
% 250.98/42.97 | DELTA: instantiating (177) with fresh symbols all_1676_0, all_1676_1,
% 250.98/42.97 | all_1676_2 gives:
% 250.98/42.97 | (739) c_Int_OBit1(c_Int_OPls) = all_1676_2 & c_Int_OBit0(all_1676_2) =
% 250.98/42.97 | all_1676_1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 250.98/42.97 | all_1676_1) = all_1676_0 & $i(all_1676_0) & $i(all_1676_1) &
% 250.98/42.97 | $i(all_1676_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 250.98/42.97 | $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v2 | ~
% 250.98/42.97 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1676_0, v2) =
% 250.98/42.97 | v3) | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,
% 250.98/42.97 | all_1676_0, v0) = v4) | ~
% 250.98/42.97 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v4) = v5) |
% 250.98/42.97 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] : ( ~ (v6 = v3) &
% 250.98/42.97 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v6 &
% 250.98/42.97 | $i(v6))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 250.98/42.97 | : ! [v4: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,
% 250.98/42.97 | all_1676_0, v2) = v4) | ~
% 250.98/42.97 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1676_0, v0) =
% 250.98/42.97 | v3) | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1,
% 250.98/42.97 | v3) = v2) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 250.98/42.97 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v4 &
% 250.98/42.97 | $i(v4)))
% 250.98/42.97 |
% 250.98/42.97 | ALPHA: (739) implies:
% 250.98/42.97 | (740) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1676_1) =
% 250.98/42.97 | all_1676_0
% 250.98/42.97 | (741) c_Int_OBit0(all_1676_2) = all_1676_1
% 250.98/42.97 | (742) c_Int_OBit1(c_Int_OPls) = all_1676_2
% 250.98/42.97 |
% 250.98/42.97 | DELTA: instantiating (30) with fresh symbol all_1679_0 gives:
% 250.98/42.97 | (743) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1679_0 &
% 250.98/42.97 | $i(all_1679_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 250.98/42.97 | $i] : ! [v4: $i] : ( ~ (c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 250.98/42.97 | v0) = v3) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.98/42.97 | all_1679_0, v2) = 0) | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~
% 250.98/42.97 | $i(v1) | ~ $i(v0) | ? [v5: $i] :
% 250.98/42.97 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1679_0, v5) =
% 250.98/42.97 | 0 & $i(v5) & ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9:
% 250.98/42.97 | $i] : ! [v10: int] : (v10 = 0 | ~
% 250.98/42.97 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v7, v4) =
% 250.98/42.97 | v8) | ~
% 250.98/42.97 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v8) = v9)
% 250.98/42.97 | | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v2) =
% 250.98/42.97 | v10) | ~ (hAPP(v3, v6) = v7) | ~ $i(v6) | ? [v11: $i] : ?
% 250.98/42.97 | [v12: $i] : ? [v13: any] : ? [v14: any] :
% 250.98/42.97 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v6, v1) =
% 250.98/42.97 | v11 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 250.98/42.97 | v11) = v12 &
% 250.98/42.97 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v5) =
% 250.98/42.97 | v14 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 250.98/42.97 | all_1679_0, v12) = v13 & $i(v12) & $i(v11) & ( ~ (v14 = 0)
% 250.98/42.97 | | ~ (v13 = 0))))))
% 250.98/42.97 |
% 250.98/42.97 | ALPHA: (743) implies:
% 250.98/42.97 | (744) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1679_0
% 250.98/42.97 |
% 250.98/42.97 | DELTA: instantiating (133) with fresh symbols all_1685_0, all_1685_1 gives:
% 250.98/42.97 | (745) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1685_1 &
% 250.98/42.97 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 250.98/42.97 | all_1685_0 & $i(all_1685_0) & $i(all_1685_1) & ! [v0: $i] : ! [v1:
% 250.98/42.97 | int] : (v1 = 0 | ~
% 250.98/42.97 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1685_0, v0) =
% 250.98/42.97 | v1) | ~ $i(v0) | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 250.98/42.97 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4) |
% 250.98/42.97 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v0) = 0)
% 250.98/42.97 | | ~ (hAPP(all_1685_1, v2) = v3) | ~ $i(v2) | ? [v5: $i] : ?
% 250.98/42.97 | [v6: int] : ( ~ (v6 = 0) &
% 250.98/42.97 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v_r) =
% 250.98/42.97 | v6 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) =
% 250.98/42.97 | v5 & $i(v5)))) & ! [v0: $i] : ( ~
% 250.98/42.97 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1685_0, v0) =
% 250.98/42.97 | 0) | ~ $i(v0) | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ?
% 250.98/42.97 | [v4: $i] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 250.98/42.97 | v_r) = 0 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 250.98/42.97 | v3) = v4 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 250.98/42.97 | v1) = v2 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4,
% 250.98/42.97 | v0) = 0 & hAPP(all_1685_1, v1) = v3 & $i(v4) & $i(v3) & $i(v2)
% 250.98/42.97 | & $i(v1)))
% 250.98/42.97 |
% 250.98/42.97 | ALPHA: (745) implies:
% 250.98/42.97 | (746) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 250.98/42.97 | all_1685_0
% 250.98/42.97 | (747) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1685_1
% 250.98/42.97 |
% 250.98/42.97 | DELTA: instantiating (134) with fresh symbols all_1688_0, all_1688_1,
% 250.98/42.97 | all_1688_2 gives:
% 251.40/42.97 | (748) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1688_2 &
% 251.40/42.97 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 251.40/42.97 | all_1688_1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 251.40/42.97 | all_1688_1, all_1688_1) = all_1688_0 & $i(all_1688_1) &
% 251.40/42.97 | $i(all_1688_2) & ((all_1688_0 = 0 & ? [v0: $i] : ? [v1: $i] : ?
% 251.40/42.97 | [v2: $i] : ? [v3: $i] :
% 251.40/42.97 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v_r) = 0
% 251.40/42.97 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3
% 251.40/42.97 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v1
% 251.40/42.97 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3,
% 251.40/42.97 | all_1688_1) = 0 & hAPP(all_1688_2, v0) = v2 & $i(v3) & $i(v2)
% 251.40/42.97 | & $i(v1) & $i(v0))) | ( ~ (all_1688_0 = 0) & ! [v0: $i] : !
% 251.40/42.97 | [v1: $i] : ( ~ (hAPP(all_1688_2, v0) = v1) | ~ $i(v0) | ? [v2:
% 251.40/42.97 | $i] : ? [v3: any] : ? [v4: $i] : ? [v5: any] :
% 251.40/42.97 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v_r) =
% 251.40/42.97 | v3 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1)
% 251.40/42.97 | = v4 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 251.40/42.97 | v0) = v2 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 251.40/42.97 | v4, all_1688_1) = v5 & $i(v4) & $i(v2) & ( ~ (v5 = 0) | ~
% 251.40/42.97 | (v3 = 0))))))
% 251.40/42.97 |
% 251.40/42.97 | ALPHA: (748) implies:
% 251.40/42.97 | (749) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 251.40/42.97 | all_1688_1
% 251.40/42.97 | (750) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1688_2
% 251.40/42.97 |
% 251.40/42.97 | DELTA: instantiating (153) with fresh symbols all_1690_0, all_1690_1,
% 251.40/42.97 | all_1690_2, all_1690_3, all_1690_4 gives:
% 251.40/42.97 | (751) c_Int_OBit1(c_Int_OPls) = all_1690_4 & c_Int_OBit0(all_1690_4) =
% 251.40/42.97 | all_1690_3 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 251.40/42.97 | all_1690_3) = all_1690_2 &
% 251.40/42.97 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 251.40/42.97 | c_Transcendental_Opi, all_1690_2) = all_1690_1 &
% 251.40/42.97 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1690_1) =
% 251.40/42.97 | all_1690_0 & $i(all_1690_0) & $i(all_1690_1) & $i(all_1690_2) &
% 251.40/42.97 | $i(all_1690_3) & $i(all_1690_4) & ! [v0: $i] : ! [v1: $i] : ( ~
% 251.40/42.97 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1690_0, v1) =
% 251.40/42.97 | 0) | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 251.40/42.97 | all_1690_0, v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] :
% 251.40/42.97 | ? [v3: any] : ? [v4: any] : ? [v5: $i] : ? [v6: $i] : ? [v7:
% 251.40/42.97 | any] : (c_Transcendental_Otan(v1) = v5 &
% 251.40/42.97 | c_Transcendental_Otan(v0) = v6 &
% 251.40/42.97 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v6) = v7 &
% 251.40/42.97 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) = v4 &
% 251.40/42.97 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1690_1) =
% 251.40/42.97 | v2 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 251.40/42.97 | all_1690_1) = v3 & $i(v6) & $i(v5) & ( ~ (v3 = 0) | ~ (v2 = 0)
% 251.40/42.97 | | (( ~ (v7 = 0) | v4 = 0) & ( ~ (v4 = 0) | v7 = 0)))))
% 251.40/42.97 |
% 251.40/42.97 | ALPHA: (751) implies:
% 251.40/42.97 | (752) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 251.40/42.97 | c_Transcendental_Opi, all_1690_2) = all_1690_1
% 251.40/42.97 | (753) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1690_3) =
% 251.40/42.97 | all_1690_2
% 251.40/42.97 | (754) c_Int_OBit0(all_1690_4) = all_1690_3
% 251.40/42.97 | (755) c_Int_OBit1(c_Int_OPls) = all_1690_4
% 251.40/42.97 |
% 251.40/42.97 | DELTA: instantiating (202) with fresh symbols all_1696_0, all_1696_1,
% 251.40/42.97 | all_1696_2, all_1696_3, all_1696_4, all_1696_5, all_1696_6, all_1696_7,
% 251.40/42.97 | all_1696_8, all_1696_9, all_1696_10, all_1696_11, all_1696_12,
% 251.40/42.97 | all_1696_13 gives:
% 251.40/42.97 | (756) ~ (all_1696_0 = 0) & c_Int_OBit1(c_Int_OPls) = all_1696_4 &
% 251.40/42.97 | c_Int_OBit0(all_1696_4) = all_1696_3 &
% 251.40/42.97 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1696_3) =
% 251.40/42.97 | all_1696_2 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 251.40/42.97 | all_1696_5, all_1696_2) = all_1696_1 &
% 251.40/42.97 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1696_13 &
% 251.40/42.97 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 251.40/42.97 | all_1696_7 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1696_6)
% 251.40/42.97 | = all_1696_5 & c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,
% 251.40/42.97 | all_1696_12, all_1696_11) = all_1696_10 &
% 251.40/42.97 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1696_8,
% 251.40/42.97 | all_1696_7) = all_1696_6 &
% 251.40/42.97 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1696_10) =
% 251.40/42.97 | all_1696_9 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 251.40/42.97 | all_1696_11) = all_1696_8 &
% 251.40/42.97 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1696_9,
% 251.40/42.97 | all_1696_1) = all_1696_0 & hAPP(all_1696_13, v_z____) = all_1696_11
% 251.40/42.97 | & hAPP(all_1696_13, v_wa____) = all_1696_12 & $i(all_1696_1) &
% 251.40/42.97 | $i(all_1696_2) & $i(all_1696_3) & $i(all_1696_4) & $i(all_1696_5) &
% 251.40/42.97 | $i(all_1696_6) & $i(all_1696_7) & $i(all_1696_8) & $i(all_1696_9) &
% 251.40/42.97 | $i(all_1696_10) & $i(all_1696_11) & $i(all_1696_12) & $i(all_1696_13)
% 251.40/42.97 |
% 251.40/42.97 | ALPHA: (756) implies:
% 251.40/42.97 | (757) ~ (all_1696_0 = 0)
% 251.40/42.97 | (758) hAPP(all_1696_13, v_wa____) = all_1696_12
% 251.40/42.97 | (759) hAPP(all_1696_13, v_z____) = all_1696_11
% 251.40/42.97 | (760) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1696_9,
% 251.40/42.97 | all_1696_1) = all_1696_0
% 251.40/42.97 | (761) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1696_11) =
% 251.40/42.97 | all_1696_8
% 251.40/42.97 | (762) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1696_10) =
% 251.40/42.97 | all_1696_9
% 251.40/42.97 | (763) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1696_8,
% 251.40/42.97 | all_1696_7) = all_1696_6
% 251.40/42.97 | (764) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1696_12,
% 251.40/42.97 | all_1696_11) = all_1696_10
% 251.40/42.97 | (765) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1696_6) = all_1696_5
% 251.40/42.97 | (766) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 251.40/42.97 | all_1696_7
% 251.40/42.97 | (767) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1696_13
% 251.40/42.97 | (768) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1696_5,
% 251.40/42.97 | all_1696_2) = all_1696_1
% 251.40/42.97 | (769) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1696_3) =
% 251.40/42.97 | all_1696_2
% 251.40/42.97 | (770) c_Int_OBit0(all_1696_4) = all_1696_3
% 251.40/42.97 | (771) c_Int_OBit1(c_Int_OPls) = all_1696_4
% 251.40/42.97 |
% 251.40/42.97 | DELTA: instantiating (93) with fresh symbol all_1698_0 gives:
% 251.40/42.97 | (772) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1698_0 &
% 251.40/42.97 | $i(all_1698_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ! [v3:
% 251.40/42.97 | any] : ( ~ (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 251.40/42.97 | all_1698_0, v1) = v3) | ~
% 251.40/42.97 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1698_0,
% 251.40/42.97 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : ? [v5: any]
% 251.40/42.97 | : ? [v6: any] : ? [v7: any] :
% 251.40/42.97 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 251.40/42.97 | all_1698_0) = v6 &
% 251.40/42.97 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 251.40/42.97 | all_1698_0) = v7 &
% 251.40/42.97 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1698_0,
% 251.40/42.97 | v4) = v5 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 251.40/42.97 | v1, v0) = v4 & $i(v4) & ( ~ (v5 = 0) | ((v7 = 0 | v3 = 0) & (v6
% 251.40/42.97 | = 0 | v2 = 0))))) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 251.40/42.97 | any] : ! [v3: any] : ( ~
% 251.40/42.97 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1698_0,
% 251.40/42.97 | v1) = v3) | ~
% 251.40/42.97 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1698_0,
% 251.40/42.97 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any]
% 251.40/42.97 | : ? [v6: $i] : ? [v7: any] :
% 251.40/42.97 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 251.40/42.97 | all_1698_0) = v4 &
% 251.40/42.97 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 251.40/42.97 | all_1698_0) = v5 &
% 251.40/42.97 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1698_0,
% 251.40/42.97 | v6) = v7 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 251.40/42.97 | v1, v0) = v6 & $i(v6) & (v7 = 0 | ( ~ (v5 = 0) & ~ (v3 = 0)) |
% 251.40/42.97 | ( ~ (v4 = 0) & ~ (v2 = 0)))))
% 251.40/42.97 |
% 251.40/42.97 | ALPHA: (772) implies:
% 251.40/42.97 | (773) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1698_0
% 251.40/42.97 |
% 251.40/42.97 | DELTA: instantiating (124) with fresh symbol all_1701_0 gives:
% 251.40/42.97 | (774) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1701_0 &
% 251.40/42.97 | $i(all_1701_0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 251.40/42.97 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_s____) = v1)
% 251.40/42.97 | | ~ $i(v0) | ! [v2: $i] : ! [v3: $i] : ( ~
% 251.40/42.97 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v3) | ~
% 251.40/42.97 | $i(v2) | ? [v4: int] : ( ~ (v4 = 0) &
% 251.40/42.97 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) = v4) |
% 251.40/42.97 | ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(all_1701_0, v4) = v5) | ~
% 251.40/42.97 | $i(v4) | ? [v6: $i] : ? [v7: any] : ? [v8: $i] :
% 251.40/42.97 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v_r) =
% 251.40/42.97 | v7 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5)
% 251.40/42.97 | = v8 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 251.40/42.97 | v4) = v6 & $i(v8) & $i(v6) & ( ~ (v8 = v3) | ~ (v7 =
% 251.40/42.97 | 0)))))) & ! [v0: $i] : ( ~
% 251.40/42.97 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_s____) = 0)
% 251.40/42.97 | | ~ $i(v0) | ? [v1: $i] : ? [v2: $i] :
% 251.40/42.97 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2 &
% 251.40/42.97 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) = 0 &
% 251.40/42.97 | $i(v2) & $i(v1) & ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 251.40/42.97 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v_r) = 0
% 251.40/42.97 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v2
% 251.40/42.97 | & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4
% 251.40/42.97 | & hAPP(all_1701_0, v3) = v5 & $i(v5) & $i(v4) & $i(v3))))
% 251.40/42.97 |
% 251.40/42.97 | ALPHA: (774) implies:
% 251.40/42.97 | (775) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1701_0
% 251.40/42.97 |
% 251.40/42.97 | DELTA: instantiating (132) with fresh symbols all_1704_0, all_1704_1 gives:
% 251.40/42.97 | (776) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1704_1 &
% 251.40/42.97 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 251.40/42.97 | all_1704_0 & $i(all_1704_0) & $i(all_1704_1) & ! [v0: $i] : ! [v1:
% 251.40/42.97 | int] : (v1 = 0 | ~
% 251.40/42.97 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1704_0, v0) =
% 251.40/42.97 | v1) | ~ $i(v0) | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 251.40/42.97 | [v5: $i] : ! [v6: $i] : ( ~
% 251.40/42.97 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v5) = v6) | ~
% 251.40/42.97 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v4) = v5) | ~
% 251.40/42.97 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4) |
% 251.40/42.97 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v0) = 0)
% 251.40/42.97 | | ~ (hAPP(all_1704_1, v2) = v3) | ~ $i(v2) | ? [v7: $i] : ?
% 251.40/42.97 | [v8: int] : ( ~ (v8 = 0) &
% 251.40/42.97 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7, v_r) =
% 251.40/42.97 | v8 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) =
% 251.40/42.97 | v7 & $i(v7)))) & ! [v0: $i] : ( ~
% 251.40/42.97 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1704_0, v0) =
% 251.40/42.97 | 0) | ~ $i(v0) | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ?
% 251.40/42.97 | [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 251.40/42.97 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v_r) = 0 &
% 251.40/42.97 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v5) = v6 &
% 251.40/42.97 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v4) = v5 &
% 251.40/42.97 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 251.40/42.97 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 &
% 251.40/42.97 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v0) = 0 &
% 251.40/42.97 | hAPP(all_1704_1, v1) = v3 & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 251.40/42.97 | $i(v2) & $i(v1)))
% 251.40/42.97 |
% 251.40/42.97 | ALPHA: (776) implies:
% 251.40/42.97 | (777) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 251.40/42.97 | all_1704_0
% 251.40/42.97 | (778) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1704_1
% 251.40/42.97 |
% 251.40/42.97 | DELTA: instantiating (4) with fresh symbols all_1707_0, all_1707_1,
% 251.40/42.97 | all_1707_2, all_1707_3, all_1707_4, all_1707_5, all_1707_6, all_1707_7,
% 251.40/42.97 | all_1707_8, all_1707_9, all_1707_10 gives:
% 251.40/42.97 | (779) c_Int_OBit1(c_Int_OPls) = all_1707_3 & c_Int_OBit0(all_1707_3) =
% 251.40/42.97 | all_1707_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 251.40/42.97 | all_1707_2) = all_1707_1 &
% 251.40/42.97 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1707_4,
% 251.40/42.97 | all_1707_1) = all_1707_0 &
% 251.40/42.97 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1707_10 &
% 251.40/42.97 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1707_9 &
% 251.40/42.97 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 251.40/42.97 | all_1707_6 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1707_5)
% 251.40/42.97 | = all_1707_4 & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,
% 251.40/42.97 | all_1707_7, all_1707_6) = all_1707_5 &
% 251.40/42.97 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1707_8) =
% 251.40/42.97 | all_1707_7 & hAPP(all_1707_9, v_z____) = all_1707_8 & $i(all_1707_0)
% 251.40/42.97 | & $i(all_1707_1) & $i(all_1707_2) & $i(all_1707_3) & $i(all_1707_4) &
% 251.40/42.97 | $i(all_1707_5) & $i(all_1707_6) & $i(all_1707_7) & $i(all_1707_8) &
% 251.40/42.97 | $i(all_1707_9) & $i(all_1707_10) & ! [v0: $i] : ! [v1: $i] : ( ~
% 251.40/42.97 | (hAPP(all_1707_9, v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i]
% 251.40/42.97 | : ? [v4: any] : ? [v5: any] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 251.40/42.97 | any] : (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v1,
% 251.40/42.97 | all_1707_8) = v6 &
% 251.40/42.97 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v0, v_z____) =
% 251.40/42.97 | v2 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) =
% 251.40/42.97 | v7 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) =
% 251.40/42.97 | v3 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7,
% 251.40/42.97 | all_1707_0) = v8 &
% 251.40/42.97 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v_d____) = v5
% 251.40/42.97 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1707_10,
% 251.40/42.97 | v3) = v4 & $i(v7) & $i(v6) & $i(v3) & $i(v2) & ( ~ (v5 = 0) |
% 251.40/42.97 | ~ (v4 = 0) | v8 = 0)))
% 251.40/42.97 |
% 251.40/42.97 | ALPHA: (779) implies:
% 251.40/42.97 | (780) hAPP(all_1707_9, v_z____) = all_1707_8
% 251.40/42.97 | (781) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1707_8) =
% 251.40/42.97 | all_1707_7
% 251.40/42.97 | (782) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1707_7,
% 251.40/42.97 | all_1707_6) = all_1707_5
% 251.40/42.97 | (783) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1707_5) = all_1707_4
% 251.40/42.97 | (784) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 251.40/42.97 | all_1707_6
% 251.40/42.97 | (785) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1707_9
% 251.40/42.97 | (786) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1707_10
% 251.40/42.97 | (787) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1707_4,
% 251.40/42.97 | all_1707_1) = all_1707_0
% 251.40/42.97 | (788) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1707_2) =
% 251.40/42.97 | all_1707_1
% 251.40/42.97 | (789) c_Int_OBit0(all_1707_3) = all_1707_2
% 251.40/42.97 | (790) c_Int_OBit1(c_Int_OPls) = all_1707_3
% 251.40/42.97 |
% 251.40/42.97 | DELTA: instantiating (7) with fresh symbols all_1710_0, all_1710_1,
% 251.40/42.97 | all_1710_2, all_1710_3, all_1710_4, all_1710_5, all_1710_6, all_1710_7,
% 251.40/42.97 | all_1710_8, all_1710_9, all_1710_10 gives:
% 251.40/42.98 | (791) c_Int_OBit1(c_Int_OPls) = all_1710_3 & c_Int_OBit0(all_1710_3) =
% 251.40/42.98 | all_1710_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 251.40/42.98 | all_1710_2) = all_1710_1 &
% 251.40/42.98 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1710_4,
% 251.40/42.98 | all_1710_1) = all_1710_0 &
% 251.40/42.98 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1710_10 &
% 251.40/42.98 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1710_9 &
% 251.40/42.98 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 251.40/42.98 | all_1710_6 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1710_5)
% 251.40/42.98 | = all_1710_4 & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,
% 251.40/42.98 | all_1710_7, all_1710_6) = all_1710_5 &
% 251.40/42.98 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1710_8) =
% 251.40/42.98 | all_1710_7 & hAPP(all_1710_9, v_z____) = all_1710_8 & $i(all_1710_0)
% 251.40/42.98 | & $i(all_1710_1) & $i(all_1710_2) & $i(all_1710_3) & $i(all_1710_4) &
% 251.40/42.98 | $i(all_1710_5) & $i(all_1710_6) & $i(all_1710_7) & $i(all_1710_8) &
% 251.40/42.98 | $i(all_1710_9) & $i(all_1710_10) & ? [v0: $i] :
% 251.40/42.98 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1710_10, v0) = 0
% 251.40/42.98 | & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 251.40/42.98 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v1, v_z____)
% 251.40/42.98 | = v2) | ~
% 251.40/42.98 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3) |
% 251.40/42.98 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0) = 0)
% 251.40/42.98 | | ~ $i(v1) | ? [v4: any] : ? [v5: $i] : ? [v6: $i] : ? [v7:
% 251.40/42.98 | $i] : ? [v8: any] :
% 251.40/42.98 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v5,
% 251.40/42.98 | all_1710_8) = v6 &
% 251.40/42.98 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = v7 &
% 251.40/42.98 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, all_1710_0)
% 251.40/42.98 | = v8 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 251.40/42.98 | all_1710_10, v3) = v4 & hAPP(all_1710_9, v1) = v5 & $i(v7) &
% 251.40/42.98 | $i(v6) & $i(v5) & ( ~ (v4 = 0) | v8 = 0))))
% 251.40/42.98 |
% 251.40/42.98 | ALPHA: (791) implies:
% 251.40/42.98 | (792) hAPP(all_1710_9, v_z____) = all_1710_8
% 251.40/42.98 | (793) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1710_8) =
% 251.40/42.98 | all_1710_7
% 251.40/42.98 | (794) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1710_7,
% 251.40/42.98 | all_1710_6) = all_1710_5
% 251.40/42.98 | (795) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1710_5) = all_1710_4
% 251.40/42.98 | (796) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 251.40/42.98 | all_1710_6
% 251.40/42.98 | (797) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1710_9
% 251.40/42.98 | (798) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1710_10
% 251.40/42.98 | (799) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1710_4,
% 251.40/42.98 | all_1710_1) = all_1710_0
% 251.40/42.98 | (800) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1710_2) =
% 251.40/42.98 | all_1710_1
% 251.40/42.98 | (801) c_Int_OBit0(all_1710_3) = all_1710_2
% 251.40/42.98 | (802) c_Int_OBit1(c_Int_OPls) = all_1710_3
% 251.40/42.98 |
% 251.40/42.98 | DELTA: instantiating (3) with fresh symbols all_1712_0, all_1712_1,
% 251.40/42.98 | all_1712_2, all_1712_3, all_1712_4, all_1712_5, all_1712_6, all_1712_7,
% 251.40/42.98 | all_1712_8, all_1712_9, all_1712_10, all_1712_11, all_1712_12,
% 251.40/42.98 | all_1712_13, all_1712_14, all_1712_15, all_1712_16, all_1712_17,
% 251.40/42.98 | all_1712_18 gives:
% 251.40/42.98 | (803) c_Int_OBit1(c_Int_OPls) = all_1712_4 & c_Int_OBit0(all_1712_4) =
% 251.40/42.98 | all_1712_3 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 251.40/42.98 | all_1712_3) = all_1712_2 &
% 251.40/42.98 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1712_5,
% 251.40/42.98 | all_1712_2) = all_1712_1 &
% 251.40/42.98 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1712_18 &
% 251.40/42.98 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1712_13 &
% 251.40/42.98 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 251.40/42.98 | all_1712_7 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1712_6)
% 251.40/42.98 | = all_1712_5 & c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,
% 251.40/42.98 | all_1712_12, all_1712_11) = all_1712_10 &
% 251.40/42.98 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v_wa____, v_z____)
% 251.40/42.98 | = all_1712_17 & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,
% 251.40/42.98 | all_1712_8, all_1712_7) = all_1712_6 &
% 251.40/42.98 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1712_10) =
% 251.40/42.98 | all_1712_9 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 251.40/42.98 | all_1712_11) = all_1712_8 &
% 251.40/42.98 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1712_17) =
% 251.40/42.98 | all_1712_16 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 251.40/42.98 | all_1712_9, all_1712_1) = all_1712_0 &
% 251.40/42.98 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1712_16, v_d____)
% 251.40/42.98 | = all_1712_14 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 251.40/42.98 | all_1712_18, all_1712_16) = all_1712_15 & hAPP(all_1712_13,
% 251.40/42.98 | v_z____) = all_1712_11 & hAPP(all_1712_13, v_wa____) = all_1712_12
% 251.40/42.98 | & $i(all_1712_1) & $i(all_1712_2) & $i(all_1712_3) & $i(all_1712_4) &
% 251.40/42.98 | $i(all_1712_5) & $i(all_1712_6) & $i(all_1712_7) & $i(all_1712_8) &
% 251.40/42.98 | $i(all_1712_9) & $i(all_1712_10) & $i(all_1712_11) & $i(all_1712_12)
% 251.40/42.98 | & $i(all_1712_13) & $i(all_1712_16) & $i(all_1712_17) &
% 251.40/42.98 | $i(all_1712_18) & ( ~ (all_1712_14 = 0) | ~ (all_1712_15 = 0) |
% 251.40/42.98 | all_1712_0 = 0)
% 251.40/42.98 |
% 251.40/42.98 | ALPHA: (803) implies:
% 251.40/42.98 | (804) $i(all_1712_17)
% 251.40/42.98 | (805) $i(all_1712_12)
% 251.40/42.98 | (806) $i(all_1712_10)
% 251.40/42.98 | (807) hAPP(all_1712_13, v_wa____) = all_1712_12
% 251.40/42.98 | (808) hAPP(all_1712_13, v_z____) = all_1712_11
% 251.40/42.98 | (809) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1712_18,
% 251.40/42.98 | all_1712_16) = all_1712_15
% 251.40/42.98 | (810) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1712_16, v_d____)
% 251.40/42.98 | = all_1712_14
% 251.40/42.98 | (811) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1712_9,
% 251.40/42.98 | all_1712_1) = all_1712_0
% 251.40/42.98 | (812) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1712_17) =
% 251.40/42.98 | all_1712_16
% 251.40/42.98 | (813) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1712_11) =
% 251.40/42.98 | all_1712_8
% 251.40/42.98 | (814) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1712_10) =
% 251.40/42.98 | all_1712_9
% 251.40/42.98 | (815) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1712_8,
% 251.40/42.98 | all_1712_7) = all_1712_6
% 251.40/42.98 | (816) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v_wa____, v_z____)
% 251.40/42.98 | = all_1712_17
% 251.40/42.98 | (817) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1712_12,
% 251.40/42.98 | all_1712_11) = all_1712_10
% 251.40/42.98 | (818) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1712_6) = all_1712_5
% 251.40/42.98 | (819) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 251.40/42.98 | all_1712_7
% 251.40/42.98 | (820) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1712_13
% 251.40/42.98 | (821) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1712_18
% 251.40/42.98 | (822) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1712_5,
% 251.40/42.98 | all_1712_2) = all_1712_1
% 251.40/42.98 | (823) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1712_3) =
% 251.40/42.98 | all_1712_2
% 251.40/42.98 | (824) c_Int_OBit0(all_1712_4) = all_1712_3
% 251.40/42.98 | (825) c_Int_OBit1(c_Int_OPls) = all_1712_4
% 251.40/42.98 | (826) ~ (all_1712_14 = 0) | ~ (all_1712_15 = 0) | all_1712_0 = 0
% 251.40/42.98 |
% 251.40/42.98 | DELTA: instantiating (7) with fresh symbols all_1714_0, all_1714_1,
% 251.40/42.98 | all_1714_2, all_1714_3, all_1714_4, all_1714_5, all_1714_6, all_1714_7,
% 251.40/42.98 | all_1714_8, all_1714_9, all_1714_10 gives:
% 251.40/42.98 | (827) c_Int_OBit1(c_Int_OPls) = all_1714_3 & c_Int_OBit0(all_1714_3) =
% 251.40/42.98 | all_1714_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 251.40/42.98 | all_1714_2) = all_1714_1 &
% 251.40/42.98 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1714_4,
% 251.40/42.98 | all_1714_1) = all_1714_0 &
% 251.40/42.98 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1714_10 &
% 251.40/42.98 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1714_9 &
% 251.40/42.98 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 251.40/42.98 | all_1714_6 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1714_5)
% 251.40/42.98 | = all_1714_4 & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,
% 251.40/42.98 | all_1714_7, all_1714_6) = all_1714_5 &
% 251.40/42.98 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1714_8) =
% 251.40/42.98 | all_1714_7 & hAPP(all_1714_9, v_z____) = all_1714_8 & $i(all_1714_0)
% 251.40/42.98 | & $i(all_1714_1) & $i(all_1714_2) & $i(all_1714_3) & $i(all_1714_4) &
% 251.40/42.98 | $i(all_1714_5) & $i(all_1714_6) & $i(all_1714_7) & $i(all_1714_8) &
% 251.40/42.98 | $i(all_1714_9) & $i(all_1714_10) & ? [v0: $i] :
% 251.40/42.98 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1714_10, v0) = 0
% 251.40/42.98 | & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 251.40/42.98 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v1, v_z____)
% 251.40/42.98 | = v2) | ~
% 251.40/42.98 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3) |
% 251.40/42.98 | ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0) = 0)
% 251.40/42.98 | | ~ $i(v1) | ? [v4: any] : ? [v5: $i] : ? [v6: $i] : ? [v7:
% 251.40/42.98 | $i] : ? [v8: any] :
% 251.40/42.98 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v5,
% 251.40/42.98 | all_1714_8) = v6 &
% 251.40/42.98 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = v7 &
% 251.40/42.98 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, all_1714_0)
% 251.40/42.98 | = v8 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 251.40/42.98 | all_1714_10, v3) = v4 & hAPP(all_1714_9, v1) = v5 & $i(v7) &
% 251.40/42.98 | $i(v6) & $i(v5) & ( ~ (v4 = 0) | v8 = 0))))
% 251.40/42.98 |
% 251.40/42.98 | ALPHA: (827) implies:
% 251.40/42.98 | (828) hAPP(all_1714_9, v_z____) = all_1714_8
% 251.40/42.98 | (829) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1714_8) =
% 251.40/42.98 | all_1714_7
% 251.40/42.98 | (830) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1714_7,
% 251.40/42.98 | all_1714_6) = all_1714_5
% 251.40/42.98 | (831) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1714_5) = all_1714_4
% 251.40/42.98 | (832) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____) =
% 251.40/42.98 | all_1714_6
% 251.40/42.98 | (833) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p) = all_1714_9
% 251.40/42.98 | (834) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1714_10
% 251.40/42.98 | (835) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1714_4,
% 251.40/42.98 | all_1714_1) = all_1714_0
% 251.40/42.98 | (836) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1714_2) =
% 251.40/42.98 | all_1714_1
% 251.40/42.98 | (837) c_Int_OBit0(all_1714_3) = all_1714_2
% 251.40/42.98 | (838) c_Int_OBit1(c_Int_OPls) = all_1714_3
% 251.40/42.98 |
% 251.40/42.98 | DELTA: instantiating (116) with fresh symbol all_1722_0 gives:
% 251.40/42.98 | (839) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1722_0 &
% 251.40/42.98 | $i(all_1722_0) & ? [v0: $i] : ! [v1: $i] : ( ~
% 251.40/42.98 | (class_RealVector_Oreal__normed__vector(v1) = 0) | ~ $i(v1) | ~
% 251.40/42.98 | $i(v0) | (( ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 251.40/42.98 | (c_Nat_OSuc(v2) = v3 & c_RealDef_Oreal(tc_Nat_Onat, v3) = v4 &
% 251.40/42.98 | $i(v4) & $i(v3) & $i(v2) & ! [v5: $i] : ! [v6: $i] : !
% 251.40/42.98 | [v7: $i] : ! [v8: int] : (v8 = 0 | ~
% 251.40/42.98 | (c_RealVector_Onorm__class_Onorm(v1, v6) = v7) | ~
% 251.40/42.98 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v4) =
% 251.40/42.98 | v8) | ~ (hAPP(v0, v5) = v6) | ~ $i(v5))) | ! [v2: $i]
% 251.40/42.98 | : ( ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 251.40/42.98 | all_1722_0, v2) = 0) | ~ $i(v2) | ? [v3: $i] : ? [v4:
% 251.40/42.98 | $i] : ? [v5: $i] : ? [v6: int] : ( ~ (v6 = 0) &
% 251.40/42.98 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v2)
% 251.40/42.98 | = v6 & c_RealVector_Onorm__class_Onorm(v1, v4) = v5 &
% 251.40/42.98 | hAPP(v0, v3) = v4 & $i(v5) & $i(v4) & $i(v3)))) & ( ? [v2:
% 251.40/42.98 | $i] : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 251.40/42.98 | all_1722_0, v2) = 0 & $i(v2) & ! [v3: $i] : ! [v4: $i] :
% 251.40/42.98 | ! [v5: $i] : ! [v6: int] : (v6 = 0 | ~
% 251.40/42.98 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5,
% 251.40/42.98 | v2) = v6) | ~ (c_RealVector_Onorm__class_Onorm(v1, v4)
% 251.40/42.98 | = v5) | ~ (hAPP(v0, v3) = v4) | ~ $i(v3))) | ! [v2:
% 251.40/42.98 | $i] : ! [v3: $i] : ( ~ (c_Nat_OSuc(v2) = v3) | ~ $i(v2) |
% 251.40/42.98 | ? [v4: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v3) = v4 & $i(v4)
% 251.40/42.98 | & ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: int] :
% 251.40/42.98 | ( ~ (v8 = 0) & c_RealVector_Onorm__class_Onorm(v1, v6) = v7
% 251.40/42.98 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v4)
% 251.40/42.98 | = v8 & hAPP(v0, v5) = v6 & $i(v7) & $i(v6) & $i(v5)))))))
% 251.40/42.98 |
% 251.40/42.98 | ALPHA: (839) implies:
% 251.40/42.98 | (840) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1722_0
% 251.40/42.98 |
% 251.40/42.98 | DELTA: instantiating (115) with fresh symbol all_1724_0 gives:
% 251.40/42.98 | (841) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1724_0 &
% 251.40/42.98 | $i(all_1724_0) & ? [v0: $i] : ! [v1: $i] : ( ~
% 251.40/42.98 | (class_RealVector_Oreal__normed__vector(v1) = 0) | ~ $i(v1) | ~
% 251.40/42.98 | $i(v0) | (( ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 251.40/42.98 | (c_Nat_OSuc(v2) = v3 & c_RealDef_Oreal(tc_Nat_Onat, v3) = v4 &
% 251.40/42.98 | $i(v4) & $i(v3) & $i(v2) & ! [v5: $i] : ! [v6: $i] : !
% 251.40/42.98 | [v7: $i] : ! [v8: int] : (v8 = 0 | ~
% 251.40/42.98 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7,
% 251.40/42.98 | v4) = v8) | ~ (c_RealVector_Onorm__class_Onorm(v1, v6)
% 251.40/42.98 | = v7) | ~ (hAPP(v0, v5) = v6) | ~ $i(v5))) | ! [v2:
% 251.40/42.98 | $i] : ( ~ (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 251.40/42.98 | all_1724_0, v2) = 0) | ~ $i(v2) | ? [v3: $i] : ? [v4:
% 251.40/42.98 | $i] : ? [v5: $i] : ? [v6: int] : ( ~ (v6 = 0) &
% 251.40/42.98 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v2)
% 251.40/42.98 | = v6 & c_RealVector_Onorm__class_Onorm(v1, v4) = v5 &
% 251.40/42.98 | hAPP(v0, v3) = v4 & $i(v5) & $i(v4) & $i(v3)))) & ( ? [v2:
% 251.40/42.98 | $i] : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 251.40/42.98 | all_1724_0, v2) = 0 & $i(v2) & ! [v3: $i] : ! [v4: $i] :
% 251.40/42.98 | ! [v5: $i] : ! [v6: int] : (v6 = 0 | ~
% 251.40/42.98 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5,
% 251.40/42.98 | v2) = v6) | ~ (c_RealVector_Onorm__class_Onorm(v1, v4)
% 251.40/42.98 | = v5) | ~ (hAPP(v0, v3) = v4) | ~ $i(v3))) | ! [v2:
% 251.40/42.98 | $i] : ! [v3: $i] : ( ~ (c_Nat_OSuc(v2) = v3) | ~ $i(v2) |
% 251.40/42.98 | ? [v4: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v3) = v4 & $i(v4)
% 251.40/42.98 | & ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: int] :
% 251.40/42.98 | ( ~ (v8 = 0) &
% 251.40/42.98 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7,
% 251.40/42.98 | v4) = v8 & c_RealVector_Onorm__class_Onorm(v1, v6) = v7
% 251.40/42.98 | & hAPP(v0, v5) = v6 & $i(v7) & $i(v6) & $i(v5)))))))
% 251.40/42.98 |
% 251.40/42.98 | ALPHA: (841) implies:
% 251.40/42.98 | (842) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1724_0
% 251.40/42.98 |
% 251.40/42.98 | DELTA: instantiating (160) with fresh symbols all_1726_0, all_1726_1,
% 251.40/42.98 | all_1726_2, all_1726_3, all_1726_4, all_1726_5, all_1726_6, all_1726_7,
% 251.40/42.98 | all_1726_8, all_1726_9, all_1726_10, all_1726_11, all_1726_12,
% 251.40/42.98 | all_1726_13, all_1726_14, all_1726_15, all_1726_16, all_1726_17,
% 251.40/42.98 | all_1726_18, all_1726_19, all_1726_20 gives:
% 251.40/42.98 | (843) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1726_17,
% 251.40/42.98 | all_1726_11) = all_1726_10 & c_Transcendental_Oarctan(all_1726_1) =
% 251.40/42.98 | all_1726_0 & c_Transcendental_Oarctan(all_1726_12) = all_1726_11 &
% 251.40/42.98 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1726_15 &
% 251.40/42.98 | c_Int_OBit1(all_1726_4) = all_1726_3 & c_Int_OBit1(all_1726_5) =
% 251.40/42.98 | all_1726_4 & c_Int_OBit1(all_1726_6) = all_1726_5 &
% 251.40/42.98 | c_Int_OBit1(all_1726_7) = all_1726_6 & c_Int_OBit1(all_1726_9) =
% 251.40/42.98 | all_1726_8 & c_Int_OBit1(all_1726_19) = all_1726_14 &
% 251.40/42.98 | c_Int_OBit1(all_1726_20) = all_1726_9 & c_Int_OBit1(c_Int_OPls) =
% 251.40/42.98 | all_1726_20 & c_Int_OBit0(all_1726_8) = all_1726_7 &
% 251.40/42.98 | c_Int_OBit0(all_1726_19) = all_1726_18 & c_Int_OBit0(all_1726_20) =
% 251.40/42.98 | all_1726_19 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 251.40/42.98 | all_1726_3) = all_1726_2 &
% 251.40/42.98 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1726_14) =
% 251.40/42.98 | all_1726_13 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 251.40/42.98 | all_1726_18) = all_1726_17 &
% 251.40/42.98 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1726_15,
% 251.40/42.98 | all_1726_2) = all_1726_1 &
% 251.40/42.98 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1726_15,
% 251.40/42.98 | all_1726_13) = all_1726_12 &
% 251.40/42.98 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 251.40/42.98 | c_Transcendental_Opi, all_1726_17) = all_1726_16 &
% 251.40/42.98 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1726_10,
% 251.40/42.98 | all_1726_0) = all_1726_16 & $i(all_1726_0) & $i(all_1726_1) &
% 251.40/42.98 | $i(all_1726_2) & $i(all_1726_3) & $i(all_1726_4) & $i(all_1726_5) &
% 251.40/42.98 | $i(all_1726_6) & $i(all_1726_7) & $i(all_1726_8) & $i(all_1726_9) &
% 251.40/42.98 | $i(all_1726_10) & $i(all_1726_11) & $i(all_1726_12) & $i(all_1726_13)
% 251.40/42.98 | & $i(all_1726_14) & $i(all_1726_15) & $i(all_1726_16) &
% 251.40/42.98 | $i(all_1726_17) & $i(all_1726_18) & $i(all_1726_19) & $i(all_1726_20)
% 251.40/42.98 |
% 251.40/42.98 | ALPHA: (843) implies:
% 251.40/42.98 | (844) c_Int_OBit0(all_1726_20) = all_1726_19
% 251.40/42.98 | (845) c_Int_OBit1(c_Int_OPls) = all_1726_20
% 251.40/42.98 |
% 251.40/42.98 | GROUND_INST: instantiating (218) with all_1073_1, all_1712_17, v_z____,
% 251.40/42.98 | v_wa____, tc_Complex_Ocomplex, simplifying with (274), (816)
% 251.40/42.98 | gives:
% 251.40/42.98 | (846) all_1712_17 = all_1073_1
% 251.40/42.98 |
% 251.40/42.98 | GROUND_INST: instantiating (214) with all_1498_2, all_1666_6, v_s____,
% 251.40/42.98 | tc_RealDef_Oreal, simplifying with (578), (721) gives:
% 251.40/42.98 | (847) all_1666_6 = all_1498_2
% 251.40/42.98 |
% 251.40/42.98 | GROUND_INST: instantiating (214) with all_1666_6, all_1673_1, v_s____,
% 251.40/42.98 | tc_RealDef_Oreal, simplifying with (721), (737) gives:
% 251.40/42.98 | (848) all_1673_1 = all_1666_6
% 251.40/42.98 |
% 251.40/42.98 | GROUND_INST: instantiating (214) with all_1668_1, all_1685_0, v_s____,
% 251.40/42.98 | tc_RealDef_Oreal, simplifying with (729), (746) gives:
% 251.40/42.98 | (849) all_1685_0 = all_1668_1
% 251.40/42.98 |
% 251.40/42.98 | GROUND_INST: instantiating (214) with all_1666_6, all_1685_0, v_s____,
% 251.40/42.98 | tc_RealDef_Oreal, simplifying with (721), (746) gives:
% 251.40/42.98 | (850) all_1685_0 = all_1666_6
% 251.40/42.98 |
% 251.40/42.98 | GROUND_INST: instantiating (214) with all_1450_1, all_1685_0, v_s____,
% 251.40/42.98 | tc_RealDef_Oreal, simplifying with (529), (746) gives:
% 251.40/42.98 | (851) all_1685_0 = all_1450_1
% 251.40/42.98 |
% 251.40/42.98 | GROUND_INST: instantiating (214) with all_1673_1, all_1688_1, v_s____,
% 251.40/42.98 | tc_RealDef_Oreal, simplifying with (737), (749) gives:
% 251.40/42.98 | (852) all_1688_1 = all_1673_1
% 251.40/42.98 |
% 251.40/42.98 | GROUND_INST: instantiating (214) with all_1688_1, all_1696_7, v_s____,
% 251.40/42.98 | tc_RealDef_Oreal, simplifying with (749), (766) gives:
% 251.40/42.98 | (853) all_1696_7 = all_1688_1
% 251.40/42.98 |
% 251.40/42.98 | GROUND_INST: instantiating (214) with all_1666_6, all_1707_6, v_s____,
% 251.40/42.98 | tc_RealDef_Oreal, simplifying with (721), (784) gives:
% 251.40/42.98 | (854) all_1707_6 = all_1666_6
% 251.40/42.98 |
% 251.40/42.98 | GROUND_INST: instantiating (214) with all_1661_1, all_1707_6, v_s____,
% 251.40/42.98 | tc_RealDef_Oreal, simplifying with (710), (784) gives:
% 251.40/42.98 | (855) all_1707_6 = all_1661_1
% 251.40/42.98 |
% 251.40/42.98 | GROUND_INST: instantiating (214) with all_1710_6, all_1712_7, v_s____,
% 251.40/42.98 | tc_RealDef_Oreal, simplifying with (796), (819) gives:
% 251.40/42.98 | (856) all_1712_7 = all_1710_6
% 251.40/42.98 |
% 251.40/42.98 | GROUND_INST: instantiating (214) with all_1704_0, all_1712_7, v_s____,
% 251.40/42.98 | tc_RealDef_Oreal, simplifying with (777), (819) gives:
% 251.40/42.98 | (857) all_1712_7 = all_1704_0
% 251.40/42.98 |
% 251.40/42.98 | GROUND_INST: instantiating (214) with all_1696_7, all_1712_7, v_s____,
% 251.40/42.98 | tc_RealDef_Oreal, simplifying with (766), (819) gives:
% 251.40/42.98 | (858) all_1712_7 = all_1696_7
% 251.40/42.98 |
% 251.40/42.98 | GROUND_INST: instantiating (214) with all_1710_6, all_1714_6, v_s____,
% 251.40/42.98 | tc_RealDef_Oreal, simplifying with (796), (832) gives:
% 251.40/42.98 | (859) all_1714_6 = all_1710_6
% 251.40/42.98 |
% 251.40/42.98 | GROUND_INST: instantiating (214) with all_1515_1, all_1714_6, v_s____,
% 251.40/42.98 | tc_RealDef_Oreal, simplifying with (592), (832) gives:
% 251.40/42.98 | (860) all_1714_6 = all_1515_1
% 251.40/42.98 |
% 251.40/42.99 | GROUND_INST: instantiating (215) with all_1487_0, all_1515_2, v_p,
% 251.40/42.99 | tc_Complex_Ocomplex, simplifying with (568), (593) gives:
% 251.40/42.99 | (861) all_1515_2 = all_1487_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (215) with all_1515_2, all_1587_1, v_p,
% 251.40/42.99 | tc_Complex_Ocomplex, simplifying with (593), (652) gives:
% 251.40/42.99 | (862) all_1587_1 = all_1515_2
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (215) with all_1515_2, all_1632_0, v_p,
% 251.40/42.99 | tc_Complex_Ocomplex, simplifying with (593), (689) gives:
% 251.40/42.99 | (863) all_1632_0 = all_1515_2
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (215) with all_1632_0, all_1661_2, v_p,
% 251.40/42.99 | tc_Complex_Ocomplex, simplifying with (689), (711) gives:
% 251.40/42.99 | (864) all_1661_2 = all_1632_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (215) with all_1661_2, all_1666_9, v_p,
% 251.40/42.99 | tc_Complex_Ocomplex, simplifying with (711), (722) gives:
% 251.40/42.99 | (865) all_1666_9 = all_1661_2
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (215) with all_1688_2, all_1696_13, v_p,
% 251.40/42.99 | tc_Complex_Ocomplex, simplifying with (750), (767) gives:
% 251.40/42.99 | (866) all_1696_13 = all_1688_2
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (215) with all_1673_2, all_1701_0, v_p,
% 251.40/42.99 | tc_Complex_Ocomplex, simplifying with (738), (775) gives:
% 251.40/42.99 | (867) all_1701_0 = all_1673_2
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (215) with all_1666_9, all_1701_0, v_p,
% 251.40/42.99 | tc_Complex_Ocomplex, simplifying with (722), (775) gives:
% 251.40/42.99 | (868) all_1701_0 = all_1666_9
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (215) with all_1688_2, all_1704_1, v_p,
% 251.40/42.99 | tc_Complex_Ocomplex, simplifying with (750), (778) gives:
% 251.40/42.99 | (869) all_1704_1 = all_1688_2
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (215) with all_1685_1, all_1704_1, v_p,
% 251.40/42.99 | tc_Complex_Ocomplex, simplifying with (747), (778) gives:
% 251.40/42.99 | (870) all_1704_1 = all_1685_1
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (215) with all_1587_1, all_1704_1, v_p,
% 251.40/42.99 | tc_Complex_Ocomplex, simplifying with (652), (778) gives:
% 251.40/42.99 | (871) all_1704_1 = all_1587_1
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (215) with all_1673_2, all_1707_9, v_p,
% 251.40/42.99 | tc_Complex_Ocomplex, simplifying with (738), (785) gives:
% 251.40/42.99 | (872) all_1707_9 = all_1673_2
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (215) with all_1459_3, all_1707_9, v_p,
% 251.40/42.99 | tc_Complex_Ocomplex, simplifying with (543), (785) gives:
% 251.40/42.99 | (873) all_1707_9 = all_1459_3
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (215) with all_1487_0, all_1710_9, v_p,
% 251.40/42.99 | tc_Complex_Ocomplex, simplifying with (568), (797) gives:
% 251.40/42.99 | (874) all_1710_9 = all_1487_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (215) with all_1450_0, all_1710_9, v_p,
% 251.40/42.99 | tc_Complex_Ocomplex, simplifying with (530), (797) gives:
% 251.40/42.99 | (875) all_1710_9 = all_1450_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (215) with all_1696_13, all_1712_13, v_p,
% 251.40/42.99 | tc_Complex_Ocomplex, simplifying with (767), (820) gives:
% 251.40/42.99 | (876) all_1712_13 = all_1696_13
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (215) with all_1498_5, all_1712_13, v_p,
% 251.40/42.99 | tc_Complex_Ocomplex, simplifying with (579), (820) gives:
% 251.40/42.99 | (877) all_1712_13 = all_1498_5
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (215) with all_1701_0, all_1714_9, v_p,
% 251.40/42.99 | tc_Complex_Ocomplex, simplifying with (775), (833) gives:
% 251.40/42.99 | (878) all_1714_9 = all_1701_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (215) with all_1668_2, all_1714_9, v_p,
% 251.40/42.99 | tc_Complex_Ocomplex, simplifying with (730), (833) gives:
% 251.40/42.99 | (879) all_1714_9 = all_1668_2
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_989_0, all_991_0, tc_RealDef_Oreal,
% 251.40/42.99 | simplifying with (240), (242) gives:
% 251.40/42.99 | (880) all_991_0 = all_989_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_989_0, all_993_0, tc_RealDef_Oreal,
% 251.40/42.99 | simplifying with (240), (244) gives:
% 251.40/42.99 | (881) all_993_0 = all_989_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_977_0, all_993_0, tc_RealDef_Oreal,
% 251.40/42.99 | simplifying with (231), (244) gives:
% 251.40/42.99 | (882) all_993_0 = all_977_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_991_0, all_997_0, tc_RealDef_Oreal,
% 251.40/42.99 | simplifying with (242), (248) gives:
% 251.40/42.99 | (883) all_997_0 = all_991_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_989_0, all_1026_1, tc_RealDef_Oreal,
% 251.40/42.99 | simplifying with (240), (250) gives:
% 251.40/42.99 | (884) all_1026_1 = all_989_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1026_1, all_1058_0,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (250), (264) gives:
% 251.40/42.99 | (885) all_1058_0 = all_1026_1
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1058_0, all_1067_0,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (264), (270) gives:
% 251.40/42.99 | (886) all_1067_0 = all_1058_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1067_0, all_1075_1,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (270), (276) gives:
% 251.40/42.99 | (887) all_1075_1 = all_1067_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1075_1, all_1119_1,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (276), (294) gives:
% 251.40/42.99 | (888) all_1119_1 = all_1075_1
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1119_1, all_1126_1,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (294), (296) gives:
% 251.40/42.99 | (889) all_1126_1 = all_1119_1
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1126_1, all_1128_0,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (296), (298) gives:
% 251.40/42.99 | (890) all_1128_0 = all_1126_1
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1290_0, all_1306_4,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (404), (420) gives:
% 251.40/42.99 | (891) all_1306_4 = all_1290_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1128_0, all_1306_4,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (298), (420) gives:
% 251.40/42.99 | (892) all_1306_4 = all_1128_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1313_0, all_1319_0,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (430), (434) gives:
% 251.40/42.99 | (893) all_1319_0 = all_1313_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1313_0, all_1328_1,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (430), (441) gives:
% 251.40/42.99 | (894) all_1328_1 = all_1313_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1239_0, all_1328_1,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (358), (441) gives:
% 251.40/42.99 | (895) all_1328_1 = all_1239_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1259_0, all_1355_0,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (369), (453) gives:
% 251.40/42.99 | (896) all_1355_0 = all_1259_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1319_0, all_1358_0,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (434), (455) gives:
% 251.40/42.99 | (897) all_1358_0 = all_1319_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_975_0, all_1358_0, tc_RealDef_Oreal,
% 251.40/42.99 | simplifying with (228), (455) gives:
% 251.40/42.99 | (898) all_1358_0 = all_975_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1199_1, all_1361_0,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (331), (457) gives:
% 251.40/42.99 | (899) all_1361_0 = all_1199_1
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1361_0, all_1379_0,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (457), (470) gives:
% 251.40/42.99 | (900) all_1379_0 = all_1361_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1316_0, all_1379_0,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (432), (470) gives:
% 251.40/42.99 | (901) all_1379_0 = all_1316_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1290_0, all_1379_0,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (404), (470) gives:
% 251.40/42.99 | (902) all_1379_0 = all_1290_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1283_4, all_1379_0,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (394), (470) gives:
% 251.40/42.99 | (903) all_1379_0 = all_1283_4
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1400_0, all_1409_0,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (493), (497) gives:
% 251.40/42.99 | (904) all_1409_0 = all_1400_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1306_4, all_1432_0,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (420), (512) gives:
% 251.40/42.99 | (905) all_1432_0 = all_1306_4
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1409_0, all_1435_0,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (497), (514) gives:
% 251.40/42.99 | (906) all_1435_0 = all_1409_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1400_0, all_1444_0,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (493), (523) gives:
% 251.40/42.99 | (907) all_1444_0 = all_1400_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1373_0, all_1444_0,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (465), (523) gives:
% 251.40/42.99 | (908) all_1444_0 = all_1373_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1361_0, all_1453_0,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (457), (532) gives:
% 251.40/42.99 | (909) all_1453_0 = all_1361_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1328_1, all_1453_0,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (441), (532) gives:
% 251.40/42.99 | (910) all_1453_0 = all_1328_1
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1259_0, all_1453_0,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (369), (532) gives:
% 251.40/42.99 | (911) all_1453_0 = all_1259_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1250_0, all_1453_0,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (363), (532) gives:
% 251.40/42.99 | (912) all_1453_0 = all_1250_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_997_0, all_1489_0, tc_RealDef_Oreal,
% 251.40/42.99 | simplifying with (248), (570) gives:
% 251.40/42.99 | (913) all_1489_0 = all_997_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_985_0, all_1489_0, tc_RealDef_Oreal,
% 251.40/42.99 | simplifying with (235), (570) gives:
% 251.40/42.99 | (914) all_1489_0 = all_985_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1290_0, all_1498_6,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (404), (580) gives:
% 251.40/42.99 | (915) all_1498_6 = all_1290_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1169_0, all_1498_6,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (311), (580) gives:
% 251.40/42.99 | (916) all_1498_6 = all_1169_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1432_0, all_1506_1,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (512), (588) gives:
% 251.40/42.99 | (917) all_1506_1 = all_1432_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1444_0, all_1524_4,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (523), (602) gives:
% 251.40/42.99 | (918) all_1524_4 = all_1444_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1349_0, all_1524_4,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (448), (602) gives:
% 251.40/42.99 | (919) all_1524_4 = all_1349_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_997_0, all_1524_4, tc_RealDef_Oreal,
% 251.40/42.99 | simplifying with (248), (602) gives:
% 251.40/42.99 | (920) all_1524_4 = all_997_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_995_0, all_1524_4, tc_RealDef_Oreal,
% 251.40/42.99 | simplifying with (246), (602) gives:
% 251.40/42.99 | (921) all_1524_4 = all_995_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1313_0, all_1527_0,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (430), (608) gives:
% 251.40/42.99 | (922) all_1527_0 = all_1313_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1506_1, all_1557_0,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (588), (630) gives:
% 251.40/42.99 | (923) all_1557_0 = all_1506_1
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1495_0, all_1575_0,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (572), (639) gives:
% 251.40/42.99 | (924) all_1575_0 = all_1495_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1527_0, all_1584_4,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (608), (646) gives:
% 251.40/42.99 | (925) all_1584_4 = all_1527_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1316_0, all_1590_4,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (432), (654) gives:
% 251.40/42.99 | (926) all_1590_4 = all_1316_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1584_4, all_1596_0,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (646), (662) gives:
% 251.40/42.99 | (927) all_1596_0 = all_1584_4
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1355_0, all_1602_0,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (453), (664) gives:
% 251.40/42.99 | (928) all_1602_0 = all_1355_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1590_4, all_1605_0,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (654), (666) gives:
% 251.40/42.99 | (929) all_1605_0 = all_1590_4
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1596_0, all_1629_0,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (662), (683) gives:
% 251.40/42.99 | (930) all_1629_0 = all_1596_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1602_0, all_1632_2,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (664), (690) gives:
% 251.40/42.99 | (931) all_1632_2 = all_1602_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1629_0, all_1634_0,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (683), (692) gives:
% 251.40/42.99 | (932) all_1634_0 = all_1629_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1634_0, all_1637_4,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (692), (697) gives:
% 251.40/42.99 | (933) all_1637_4 = all_1634_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1575_0, all_1666_10,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (639), (723) gives:
% 251.40/42.99 | (934) all_1666_10 = all_1575_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1637_4, all_1679_0,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (697), (744) gives:
% 251.40/42.99 | (935) all_1679_0 = all_1637_4
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1666_10, all_1698_0,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (723), (773) gives:
% 251.40/42.99 | (936) all_1698_0 = all_1666_10
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1172_0, all_1698_0,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (313), (773) gives:
% 251.40/42.99 | (937) all_1698_0 = all_1172_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1605_0, all_1707_10,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (666), (786) gives:
% 251.40/42.99 | (938) all_1707_10 = all_1605_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1185_0, all_1707_10,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (321), (786) gives:
% 251.40/42.99 | (939) all_1707_10 = all_1185_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1632_2, all_1710_10,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (690), (798) gives:
% 251.40/42.99 | (940) all_1710_10 = all_1632_2
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1215_1, all_1710_10,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (343), (798) gives:
% 251.40/42.99 | (941) all_1710_10 = all_1215_1
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1679_0, all_1712_18,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (744), (821) gives:
% 251.40/42.99 | (942) all_1712_18 = all_1679_0
% 251.40/42.99 |
% 251.40/42.99 | GROUND_INST: instantiating (203) with all_1253_0, all_1712_18,
% 251.40/42.99 | tc_RealDef_Oreal, simplifying with (366), (821) gives:
% 251.40/43.00 | (943) all_1712_18 = all_1253_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_1714_10, all_1722_0,
% 251.40/43.00 | tc_RealDef_Oreal, simplifying with (834), (840) gives:
% 251.40/43.00 | (944) all_1722_0 = all_1714_10
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_1557_0, all_1722_0,
% 251.40/43.00 | tc_RealDef_Oreal, simplifying with (630), (840) gives:
% 251.40/43.00 | (945) all_1722_0 = all_1557_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_1152_0, all_1722_0,
% 251.40/43.00 | tc_RealDef_Oreal, simplifying with (302), (840) gives:
% 251.40/43.00 | (946) all_1722_0 = all_1152_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_1495_0, all_1724_0,
% 251.40/43.00 | tc_RealDef_Oreal, simplifying with (572), (842) gives:
% 251.40/43.00 | (947) all_1724_0 = all_1495_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_1481_0, all_1724_0,
% 251.40/43.00 | tc_RealDef_Oreal, simplifying with (564), (842) gives:
% 251.40/43.00 | (948) all_1724_0 = all_1481_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_1435_0, all_1724_0,
% 251.40/43.00 | tc_RealDef_Oreal, simplifying with (514), (842) gives:
% 251.40/43.00 | (949) all_1724_0 = all_1435_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with c_Int_OPls, all_987_0, tc_Int_Oint,
% 251.40/43.00 | simplifying with (24), (237) gives:
% 251.40/43.00 | (950) all_987_0 = c_Int_OPls
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_987_0, all_1031_1, tc_Int_Oint,
% 251.40/43.00 | simplifying with (237), (253) gives:
% 251.40/43.00 | (951) all_1031_1 = all_987_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_987_0, all_1096_1, tc_Int_Oint,
% 251.40/43.00 | simplifying with (237), (280) gives:
% 251.40/43.00 | (952) all_1096_1 = all_987_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_983_0, all_1104_0, tc_Int_Oint,
% 251.40/43.00 | simplifying with (233), (283) gives:
% 251.40/43.00 | (953) all_1104_0 = all_983_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_1104_0, all_1112_1, tc_Int_Oint,
% 251.40/43.00 | simplifying with (283), (288) gives:
% 251.40/43.00 | (954) all_1112_1 = all_1104_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_1112_1, all_1117_1, tc_Int_Oint,
% 251.40/43.00 | simplifying with (288), (292) gives:
% 251.40/43.00 | (955) all_1117_1 = all_1112_1
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_1161_0, all_1194_3, tc_Int_Oint,
% 251.40/43.00 | simplifying with (306), (325) gives:
% 251.40/43.00 | (956) all_1194_3 = all_1161_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_1194_3, all_1212_0, tc_Int_Oint,
% 251.40/43.00 | simplifying with (325), (341) gives:
% 251.40/43.00 | (957) all_1212_0 = all_1194_3
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_1104_0, all_1277_1, tc_Int_Oint,
% 251.40/43.00 | simplifying with (283), (391) gives:
% 251.40/43.00 | (958) all_1277_1 = all_1104_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_1031_1, all_1277_1, tc_Int_Oint,
% 251.40/43.00 | simplifying with (253), (391) gives:
% 251.40/43.00 | (959) all_1277_1 = all_1031_1
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_1266_3, all_1343_0, tc_Int_Oint,
% 251.40/43.00 | simplifying with (383), (445) gives:
% 251.40/43.00 | (960) all_1343_0 = all_1266_3
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_1295_0, all_1367_0, tc_Int_Oint,
% 251.40/43.00 | simplifying with (410), (462) gives:
% 251.40/43.00 | (961) all_1367_0 = all_1295_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_1277_1, all_1367_0, tc_Int_Oint,
% 251.40/43.00 | simplifying with (391), (462) gives:
% 251.40/43.00 | (962) all_1367_0 = all_1277_1
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_1048_1, all_1367_0, tc_Int_Oint,
% 251.40/43.00 | simplifying with (259), (462) gives:
% 251.40/43.00 | (963) all_1367_0 = all_1048_1
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_1343_0, all_1406_0, tc_Int_Oint,
% 251.40/43.00 | simplifying with (445), (495) gives:
% 251.40/43.00 | (964) all_1406_0 = all_1343_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_1266_3, all_1441_0, tc_Int_Oint,
% 251.40/43.00 | simplifying with (383), (521) gives:
% 251.40/43.00 | (965) all_1441_0 = all_1266_3
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_1212_0, all_1441_0, tc_Int_Oint,
% 251.40/43.00 | simplifying with (341), (521) gives:
% 251.40/43.00 | (966) all_1441_0 = all_1212_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_1161_0, all_1461_0, tc_Int_Oint,
% 251.40/43.00 | simplifying with (306), (546) gives:
% 251.40/43.00 | (967) all_1461_0 = all_1161_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_1146_0, all_1461_0, tc_Int_Oint,
% 251.40/43.00 | simplifying with (300), (546) gives:
% 251.40/43.00 | (968) all_1461_0 = all_1146_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_1117_1, all_1461_0, tc_Int_Oint,
% 251.40/43.00 | simplifying with (292), (546) gives:
% 251.40/43.00 | (969) all_1461_0 = all_1117_1
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_1406_0, all_1512_0, tc_Int_Oint,
% 251.40/43.00 | simplifying with (495), (590) gives:
% 251.40/43.00 | (970) all_1512_0 = all_1406_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_1441_0, all_1521_4, tc_Int_Oint,
% 251.40/43.00 | simplifying with (521), (596) gives:
% 251.40/43.00 | (971) all_1521_4 = all_1441_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_1218_0, all_1521_4, tc_Int_Oint,
% 251.40/43.00 | simplifying with (345), (596) gives:
% 251.40/43.00 | (972) all_1521_4 = all_1218_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_1096_1, all_1578_0, tc_Int_Oint,
% 251.40/43.00 | simplifying with (280), (641) gives:
% 251.40/43.00 | (973) all_1578_0 = all_1096_1
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_971_0, all_1578_0, tc_Int_Oint,
% 251.40/43.00 | simplifying with (224), (641) gives:
% 251.40/43.00 | (974) all_1578_0 = all_971_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_1512_0, all_1581_0, tc_Int_Oint,
% 251.40/43.00 | simplifying with (590), (643) gives:
% 251.40/43.00 | (975) all_1581_0 = all_1512_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (203) with all_1050_0, all_1581_0, tc_Int_Oint,
% 251.40/43.00 | simplifying with (262), (643) gives:
% 251.40/43.00 | (976) all_1581_0 = all_1050_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1060_0, all_1110_0, c_Int_OPls,
% 251.40/43.00 | simplifying with (266), (285) gives:
% 251.40/43.00 | (977) all_1110_0 = all_1060_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1194_2, all_1202_3, c_Int_OPls,
% 251.40/43.00 | simplifying with (328), (336) gives:
% 251.40/43.00 | (978) all_1202_3 = all_1194_2
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1202_3, all_1210_1, c_Int_OPls,
% 251.40/43.00 | simplifying with (336), (339) gives:
% 251.40/43.00 | (979) all_1210_1 = all_1202_3
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1223_0, all_1226_0, c_Int_OPls,
% 251.40/43.00 | simplifying with (350), (352) gives:
% 251.40/43.00 | (980) all_1226_0 = all_1223_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1236_0, all_1248_3, c_Int_OPls,
% 251.40/43.00 | simplifying with (356), (361) gives:
% 251.40/43.00 | (981) all_1248_3 = all_1236_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1248_3, all_1262_3, c_Int_OPls,
% 251.40/43.00 | simplifying with (361), (375) gives:
% 251.40/43.00 | (982) all_1262_3 = all_1248_3
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1266_2, all_1268_2, c_Int_OPls,
% 251.40/43.00 | simplifying with (384), (389) gives:
% 251.40/43.00 | (983) all_1268_2 = all_1266_2
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1285_1, all_1298_4, c_Int_OPls,
% 251.40/43.00 | simplifying with (401), (414) gives:
% 251.40/43.00 | (984) all_1298_4 = all_1285_1
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1298_4, all_1300_0, c_Int_OPls,
% 251.40/43.00 | simplifying with (414), (416) gives:
% 251.40/43.00 | (985) all_1300_0 = all_1298_4
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1167_2, all_1303_0, c_Int_OPls,
% 251.40/43.00 | simplifying with (309), (418) gives:
% 251.40/43.00 | (986) all_1303_0 = all_1167_2
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1110_0, all_1303_0, c_Int_OPls,
% 251.40/43.00 | simplifying with (285), (418) gives:
% 251.40/43.00 | (987) all_1303_0 = all_1110_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1300_0, all_1306_3, c_Int_OPls,
% 251.40/43.00 | simplifying with (416), (424) gives:
% 251.40/43.00 | (988) all_1306_3 = all_1300_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1194_2, all_1322_3, c_Int_OPls,
% 251.40/43.00 | simplifying with (328), (439) gives:
% 251.40/43.00 | (989) all_1322_3 = all_1194_2
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1167_2, all_1322_3, c_Int_OPls,
% 251.40/43.00 | simplifying with (309), (439) gives:
% 251.40/43.00 | (990) all_1322_3 = all_1167_2
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1236_0, all_1352_2, c_Int_OPls,
% 251.40/43.00 | simplifying with (356), (451) gives:
% 251.40/43.00 | (991) all_1352_2 = all_1236_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1232_0, all_1352_2, c_Int_OPls,
% 251.40/43.00 | simplifying with (354), (451) gives:
% 251.40/43.00 | (992) all_1352_2 = all_1232_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1226_0, all_1352_2, c_Int_OPls,
% 251.40/43.00 | simplifying with (352), (451) gives:
% 251.40/43.00 | (993) all_1352_2 = all_1226_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1223_0, all_1364_2, c_Int_OPls,
% 251.40/43.00 | simplifying with (350), (460) gives:
% 251.40/43.00 | (994) all_1364_2 = all_1223_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1210_1, all_1364_2, c_Int_OPls,
% 251.40/43.00 | simplifying with (339), (460) gives:
% 251.40/43.00 | (995) all_1364_2 = all_1210_1
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1303_0, all_1376_1, c_Int_OPls,
% 251.40/43.00 | simplifying with (418), (468) gives:
% 251.40/43.00 | (996) all_1376_1 = all_1303_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1364_2, all_1381_3, c_Int_OPls,
% 251.40/43.00 | simplifying with (460), (478) gives:
% 251.40/43.00 | (997) all_1381_3 = all_1364_2
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1221_2, all_1381_3, c_Int_OPls,
% 251.40/43.00 | simplifying with (348), (478) gives:
% 251.40/43.00 | (998) all_1381_3 = all_1221_2
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1379_5, all_1390_4, c_Int_OPls,
% 251.40/43.00 | simplifying with (474), (483) gives:
% 251.40/43.00 | (999) all_1390_4 = all_1379_5
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1322_3, all_1396_3, c_Int_OPls,
% 251.40/43.00 | simplifying with (439), (489) gives:
% 251.40/43.00 | (1000) all_1396_3 = all_1322_3
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1175_2, all_1396_3, c_Int_OPls,
% 251.40/43.00 | simplifying with (317), (489) gives:
% 251.40/43.00 | (1001) all_1396_3 = all_1175_2
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1376_1, all_1398_5, c_Int_OPls,
% 251.40/43.00 | simplifying with (468), (491) gives:
% 251.40/43.00 | (1002) all_1398_5 = all_1376_1
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1398_5, all_1412_1, c_Int_OPls,
% 251.40/43.00 | simplifying with (491), (501) gives:
% 251.40/43.00 | (1003) all_1412_1 = all_1398_5
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1379_5, all_1415_5, c_Int_OPls,
% 251.40/43.00 | simplifying with (474), (504) gives:
% 251.40/43.00 | (1004) all_1415_5 = all_1379_5
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1306_3, all_1415_5, c_Int_OPls,
% 251.40/43.00 | simplifying with (424), (504) gives:
% 251.40/43.00 | (1005) all_1415_5 = all_1306_3
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1423_2, all_1438_2, c_Int_OPls,
% 251.40/43.00 | simplifying with (508), (519) gives:
% 251.40/43.00 | (1006) all_1438_2 = all_1423_2
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1415_5, all_1447_4, c_Int_OPls,
% 251.40/43.00 | simplifying with (504), (527) gives:
% 251.40/43.00 | (1007) all_1447_4 = all_1415_5
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1447_4, all_1456_2, c_Int_OPls,
% 251.40/43.00 | simplifying with (527), (536) gives:
% 251.40/43.00 | (1008) all_1456_2 = all_1447_4
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1412_1, all_1472_0, c_Int_OPls,
% 251.40/43.00 | simplifying with (501), (555) gives:
% 251.40/43.00 | (1009) all_1472_0 = all_1412_1
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1352_2, all_1475_2, c_Int_OPls,
% 251.40/43.00 | simplifying with (451), (559) gives:
% 251.40/43.00 | (1010) all_1475_2 = all_1352_2
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1472_0, all_1478_1, c_Int_OPls,
% 251.40/43.00 | simplifying with (555), (562) gives:
% 251.40/43.00 | (1011) all_1478_1 = all_1472_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1438_2, all_1521_3, c_Int_OPls,
% 251.40/43.00 | simplifying with (519), (599) gives:
% 251.40/43.00 | (1012) all_1521_3 = all_1438_2
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1500_2, all_1530_4, c_Int_OPls,
% 251.40/43.00 | simplifying with (584), (613) gives:
% 251.40/43.00 | (1013) all_1530_4 = all_1500_2
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1390_4, all_1530_4, c_Int_OPls,
% 251.40/43.00 | simplifying with (483), (613) gives:
% 251.40/43.00 | (1014) all_1530_4 = all_1390_4
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1478_1, all_1533_0, c_Int_OPls,
% 251.40/43.00 | simplifying with (562), (615) gives:
% 251.40/43.00 | (1015) all_1533_0 = all_1478_1
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1500_2, all_1539_1, c_Int_OPls,
% 251.40/43.00 | simplifying with (584), (617) gives:
% 251.40/43.00 | (1016) all_1539_1 = all_1500_2
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1533_0, all_1545_0, c_Int_OPls,
% 251.40/43.00 | simplifying with (615), (621) gives:
% 251.40/43.00 | (1017) all_1545_0 = all_1533_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1545_0, all_1548_0, c_Int_OPls,
% 251.40/43.00 | simplifying with (621), (623) gives:
% 251.40/43.00 | (1018) all_1548_0 = all_1545_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1542_0, all_1554_1, c_Int_OPls,
% 251.40/43.00 | simplifying with (619), (628) gives:
% 251.40/43.00 | (1019) all_1554_1 = all_1542_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1539_1, all_1563_3, c_Int_OPls,
% 251.40/43.00 | simplifying with (617), (635) gives:
% 251.40/43.00 | (1020) all_1563_3 = all_1539_1
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1475_2, all_1584_3, c_Int_OPls,
% 251.40/43.00 | simplifying with (559), (650) gives:
% 251.40/43.00 | (1021) all_1584_3 = all_1475_2
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1530_4, all_1590_3, c_Int_OPls,
% 251.40/43.00 | simplifying with (613), (658) gives:
% 251.40/43.00 | (1022) all_1590_3 = all_1530_4
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1423_2, all_1593_0, c_Int_OPls,
% 251.40/43.00 | simplifying with (508), (660) gives:
% 251.40/43.00 | (1023) all_1593_0 = all_1423_2
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1393_1, all_1593_0, c_Int_OPls,
% 251.40/43.00 | simplifying with (486), (660) gives:
% 251.40/43.00 | (1024) all_1593_0 = all_1393_1
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1285_1, all_1593_0, c_Int_OPls,
% 251.40/43.00 | simplifying with (401), (660) gives:
% 251.40/43.00 | (1025) all_1593_0 = all_1285_1
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1268_2, all_1593_0, c_Int_OPls,
% 251.40/43.00 | simplifying with (389), (660) gives:
% 251.40/43.00 | (1026) all_1593_0 = all_1268_2
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1593_0, all_1611_4, c_Int_OPls,
% 251.40/43.00 | simplifying with (660), (676) gives:
% 251.40/43.00 | (1027) all_1611_4 = all_1593_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1566_0, all_1611_4, c_Int_OPls,
% 251.40/43.00 | simplifying with (637), (676) gives:
% 251.40/43.00 | (1028) all_1611_4 = all_1566_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1563_3, all_1617_1, c_Int_OPls,
% 251.40/43.00 | simplifying with (635), (679) gives:
% 251.40/43.00 | (1029) all_1617_1 = all_1563_3
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1062_1, all_1617_1, c_Int_OPls,
% 251.40/43.00 | simplifying with (268), (679) gives:
% 251.40/43.00 | (1030) all_1617_1 = all_1062_1
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1551_1, all_1623_1, c_Int_OPls,
% 251.40/43.00 | simplifying with (625), (681) gives:
% 251.40/43.00 | (1031) all_1623_1 = all_1551_1
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1524_3, all_1623_1, c_Int_OPls,
% 251.40/43.00 | simplifying with (606), (681) gives:
% 251.40/43.00 | (1032) all_1623_1 = all_1524_3
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1521_3, all_1623_1, c_Int_OPls,
% 251.40/43.00 | simplifying with (599), (681) gives:
% 251.40/43.00 | (1033) all_1623_1 = all_1521_3
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1551_1, all_1629_5, c_Int_OPls,
% 251.40/43.00 | simplifying with (625), (687) gives:
% 251.40/43.00 | (1034) all_1629_5 = all_1551_1
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1623_1, all_1634_4, c_Int_OPls,
% 251.40/43.00 | simplifying with (681), (695) gives:
% 251.40/43.00 | (1035) all_1634_4 = all_1623_1
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1542_0, all_1637_2, c_Int_OPls,
% 251.40/43.00 | simplifying with (619), (700) gives:
% 251.40/43.00 | (1036) all_1637_2 = all_1542_0
% 251.40/43.00 |
% 251.40/43.00 | GROUND_INST: instantiating (205) with all_1484_0, all_1637_2, c_Int_OPls,
% 251.40/43.00 | simplifying with (566), (700) gives:
% 251.40/43.01 | (1037) all_1637_2 = all_1484_0
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (205) with all_1456_2, all_1637_2, c_Int_OPls,
% 251.40/43.01 | simplifying with (536), (700) gives:
% 251.40/43.01 | (1038) all_1637_2 = all_1456_2
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (205) with all_1634_4, all_1652_5, c_Int_OPls,
% 251.40/43.01 | simplifying with (695), (703) gives:
% 251.40/43.01 | (1039) all_1652_5 = all_1634_4
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (205) with all_1590_3, all_1658_4, c_Int_OPls,
% 251.40/43.01 | simplifying with (658), (708) gives:
% 251.40/43.01 | (1040) all_1658_4 = all_1590_3
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (205) with all_1548_0, all_1666_3, c_Int_OPls,
% 251.40/43.01 | simplifying with (623), (727) gives:
% 251.40/43.01 | (1041) all_1666_3 = all_1548_0
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (205) with all_1584_3, all_1676_2, c_Int_OPls,
% 251.40/43.01 | simplifying with (650), (742) gives:
% 251.40/43.01 | (1042) all_1676_2 = all_1584_3
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (205) with all_1290_4, all_1676_2, c_Int_OPls,
% 251.40/43.01 | simplifying with (408), (742) gives:
% 251.40/43.01 | (1043) all_1676_2 = all_1290_4
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (205) with all_1666_3, all_1690_4, c_Int_OPls,
% 251.40/43.01 | simplifying with (727), (755) gives:
% 251.40/43.01 | (1044) all_1690_4 = all_1666_3
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (205) with all_1158_0, all_1690_4, c_Int_OPls,
% 251.40/43.01 | simplifying with (304), (755) gives:
% 251.40/43.01 | (1045) all_1690_4 = all_1158_0
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (205) with all_1658_4, all_1696_4, c_Int_OPls,
% 251.40/43.01 | simplifying with (708), (771) gives:
% 251.40/43.01 | (1046) all_1696_4 = all_1658_4
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (205) with all_1470_4, all_1696_4, c_Int_OPls,
% 251.40/43.01 | simplifying with (553), (771) gives:
% 251.40/43.01 | (1047) all_1696_4 = all_1470_4
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (205) with all_1652_5, all_1707_3, c_Int_OPls,
% 251.40/43.01 | simplifying with (703), (790) gives:
% 251.40/43.01 | (1048) all_1707_3 = all_1652_5
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (205) with all_1608_4, all_1707_3, c_Int_OPls,
% 251.40/43.01 | simplifying with (671), (790) gives:
% 251.40/43.01 | (1049) all_1707_3 = all_1608_4
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (205) with all_1671_4, all_1710_3, c_Int_OPls,
% 251.40/43.01 | simplifying with (735), (802) gives:
% 251.40/43.01 | (1050) all_1710_3 = all_1671_4
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (205) with all_1629_5, all_1710_3, c_Int_OPls,
% 251.40/43.01 | simplifying with (687), (802) gives:
% 251.40/43.01 | (1051) all_1710_3 = all_1629_5
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (205) with all_1554_1, all_1712_4, c_Int_OPls,
% 251.40/43.01 | simplifying with (628), (825) gives:
% 251.40/43.01 | (1052) all_1712_4 = all_1554_1
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (205) with all_1311_4, all_1712_4, c_Int_OPls,
% 251.40/43.01 | simplifying with (428), (825) gives:
% 251.40/43.01 | (1053) all_1712_4 = all_1311_4
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (205) with all_1710_3, all_1714_3, c_Int_OPls,
% 251.40/43.01 | simplifying with (802), (838) gives:
% 251.40/43.01 | (1054) all_1714_3 = all_1710_3
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (205) with all_1283_3, all_1714_3, c_Int_OPls,
% 251.40/43.01 | simplifying with (398), (838) gives:
% 251.40/43.01 | (1055) all_1714_3 = all_1283_3
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (205) with all_1266_2, all_1726_20, c_Int_OPls,
% 251.40/43.01 | simplifying with (384), (845) gives:
% 251.40/43.01 | (1056) all_1726_20 = all_1266_2
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (205) with all_1264_3, all_1726_20, c_Int_OPls,
% 251.40/43.01 | simplifying with (380), (845) gives:
% 251.40/43.01 | (1057) all_1726_20 = all_1264_3
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (205) with all_1262_3, all_1726_20, c_Int_OPls,
% 251.40/43.01 | simplifying with (375), (845) gives:
% 251.40/43.01 | (1058) all_1726_20 = all_1262_3
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (210) with all_1096_0, all_1112_0, tc_Int_Oint,
% 251.40/43.01 | simplifying with (281), (290) gives:
% 251.40/43.01 | (1059) all_1112_0 = all_1096_0
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (210) with all_1112_0, all_1177_0, tc_Int_Oint,
% 251.40/43.01 | simplifying with (290), (319) gives:
% 251.40/43.01 | (1060) all_1177_0 = all_1112_0
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (210) with all_1177_0, all_1191_0, tc_Int_Oint,
% 251.40/43.01 | simplifying with (319), (323) gives:
% 251.40/43.01 | (1061) all_1191_0 = all_1177_0
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (210) with all_1112_0, all_1277_0, tc_Int_Oint,
% 251.40/43.01 | simplifying with (290), (392) gives:
% 251.40/43.01 | (1062) all_1277_0 = all_1112_0
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (210) with all_1191_0, all_1337_0, tc_Int_Oint,
% 251.40/43.01 | simplifying with (323), (443) gives:
% 251.40/43.01 | (1063) all_1337_0 = all_1191_0
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (210) with all_1277_0, all_1343_1, tc_Int_Oint,
% 251.40/43.01 | simplifying with (392), (446) gives:
% 251.40/43.01 | (1064) all_1343_1 = all_1277_0
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (210) with all_1048_0, all_1343_1, tc_Int_Oint,
% 251.40/43.01 | simplifying with (260), (446) gives:
% 251.40/43.01 | (1065) all_1343_1 = all_1048_0
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (210) with all_1177_0, all_1420_0, tc_Int_Oint,
% 251.40/43.01 | simplifying with (319), (506) gives:
% 251.40/43.01 | (1066) all_1420_0 = all_1177_0
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (210) with all_1110_1, all_1420_0, tc_Int_Oint,
% 251.40/43.01 | simplifying with (286), (506) gives:
% 251.40/43.01 | (1067) all_1420_0 = all_1110_1
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (210) with all_1464_0, all_1503_0, tc_Int_Oint,
% 251.40/43.01 | simplifying with (548), (586) gives:
% 251.40/43.01 | (1068) all_1503_0 = all_1464_0
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (210) with all_1429_0, all_1503_0, tc_Int_Oint,
% 251.40/43.01 | simplifying with (510), (586) gives:
% 251.40/43.01 | (1069) all_1503_0 = all_1429_0
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (210) with all_1367_1, all_1503_0, tc_Int_Oint,
% 251.40/43.01 | simplifying with (463), (586) gives:
% 251.40/43.01 | (1070) all_1503_0 = all_1367_1
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (210) with all_1337_0, all_1503_0, tc_Int_Oint,
% 251.40/43.01 | simplifying with (443), (586) gives:
% 251.40/43.01 | (1071) all_1503_0 = all_1337_0
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (210) with all_1429_0, all_1521_0, tc_Int_Oint,
% 251.40/43.01 | simplifying with (510), (600) gives:
% 251.40/43.01 | (1072) all_1521_0 = all_1429_0
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (210) with all_1161_1, all_1521_0, tc_Int_Oint,
% 251.40/43.01 | simplifying with (307), (600) gives:
% 251.40/43.01 | (1073) all_1521_0 = all_1161_1
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (210) with all_1096_0, all_1581_1, tc_Int_Oint,
% 251.40/43.01 | simplifying with (281), (644) gives:
% 251.40/43.01 | (1074) all_1581_1 = all_1096_0
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (210) with all_1082_0, all_1581_1, tc_Int_Oint,
% 251.40/43.01 | simplifying with (278), (644) gives:
% 251.40/43.01 | (1075) all_1581_1 = all_1082_0
% 251.40/43.01 |
% 251.40/43.01 | GROUND_INST: instantiating (210) with all_1039_0, all_1581_1, tc_Int_Oint,
% 251.40/43.01 | simplifying with (255), (644) gives:
% 251.40/43.01 | (1076) all_1581_1 = all_1039_0
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1056), (1057) imply:
% 251.40/43.01 | (1077) all_1266_2 = all_1264_3
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1077) implies:
% 251.40/43.01 | (1078) all_1266_2 = all_1264_3
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1057), (1058) imply:
% 251.40/43.01 | (1079) all_1264_3 = all_1262_3
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (948), (949) imply:
% 251.40/43.01 | (1080) all_1481_0 = all_1435_0
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (947), (948) imply:
% 251.40/43.01 | (1081) all_1495_0 = all_1481_0
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1081) implies:
% 251.40/43.01 | (1082) all_1495_0 = all_1481_0
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (944), (946) imply:
% 251.40/43.01 | (1083) all_1714_10 = all_1152_0
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (944), (945) imply:
% 251.40/43.01 | (1084) all_1714_10 = all_1557_0
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1054), (1055) imply:
% 251.40/43.01 | (1085) all_1710_3 = all_1283_3
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1085) implies:
% 251.40/43.01 | (1086) all_1710_3 = all_1283_3
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (859), (860) imply:
% 251.40/43.01 | (1087) all_1710_6 = all_1515_1
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1087) implies:
% 251.40/43.01 | (1088) all_1710_6 = all_1515_1
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (878), (879) imply:
% 251.40/43.01 | (1089) all_1701_0 = all_1668_2
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1089) implies:
% 251.40/43.01 | (1090) all_1701_0 = all_1668_2
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1083), (1084) imply:
% 251.40/43.01 | (1091) all_1557_0 = all_1152_0
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1091) implies:
% 251.40/43.01 | (1092) all_1557_0 = all_1152_0
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1052), (1053) imply:
% 251.40/43.01 | (1093) all_1554_1 = all_1311_4
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1093) implies:
% 251.40/43.01 | (1094) all_1554_1 = all_1311_4
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (856), (857) imply:
% 251.40/43.01 | (1095) all_1710_6 = all_1704_0
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1095) implies:
% 251.40/43.01 | (1096) all_1710_6 = all_1704_0
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (857), (858) imply:
% 251.40/43.01 | (1097) all_1704_0 = all_1696_7
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (876), (877) imply:
% 251.40/43.01 | (1098) all_1696_13 = all_1498_5
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1098) implies:
% 251.40/43.01 | (1099) all_1696_13 = all_1498_5
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (942), (943) imply:
% 251.40/43.01 | (1100) all_1679_0 = all_1253_0
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1100) implies:
% 251.40/43.01 | (1101) all_1679_0 = all_1253_0
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1050), (1086) imply:
% 251.40/43.01 | (1102) all_1671_4 = all_1283_3
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1050), (1051) imply:
% 251.40/43.01 | (1103) all_1671_4 = all_1629_5
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1088), (1096) imply:
% 251.40/43.01 | (1104) all_1704_0 = all_1515_1
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1104) implies:
% 251.40/43.01 | (1105) all_1704_0 = all_1515_1
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (874), (875) imply:
% 251.40/43.01 | (1106) all_1487_0 = all_1450_0
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1106) implies:
% 251.40/43.01 | (1107) all_1487_0 = all_1450_0
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (940), (941) imply:
% 251.40/43.01 | (1108) all_1632_2 = all_1215_1
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1108) implies:
% 251.40/43.01 | (1109) all_1632_2 = all_1215_1
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1048), (1049) imply:
% 251.40/43.01 | (1110) all_1652_5 = all_1608_4
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1110) implies:
% 251.40/43.01 | (1111) all_1652_5 = all_1608_4
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (854), (855) imply:
% 251.40/43.01 | (1112) all_1666_6 = all_1661_1
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1112) implies:
% 251.40/43.01 | (1113) all_1666_6 = all_1661_1
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (872), (873) imply:
% 251.40/43.01 | (1114) all_1673_2 = all_1459_3
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1114) implies:
% 251.40/43.01 | (1115) all_1673_2 = all_1459_3
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (938), (939) imply:
% 251.40/43.01 | (1116) all_1605_0 = all_1185_0
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1116) implies:
% 251.40/43.01 | (1117) all_1605_0 = all_1185_0
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1097), (1105) imply:
% 251.40/43.01 | (1118) all_1696_7 = all_1515_1
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1118) implies:
% 251.40/43.01 | (1119) all_1696_7 = all_1515_1
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (870), (871) imply:
% 251.40/43.01 | (1120) all_1685_1 = all_1587_1
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (869), (870) imply:
% 251.40/43.01 | (1121) all_1688_2 = all_1685_1
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1121) implies:
% 251.40/43.01 | (1122) all_1688_2 = all_1685_1
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (868), (1090) imply:
% 251.40/43.01 | (1123) all_1668_2 = all_1666_9
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (867), (1090) imply:
% 251.40/43.01 | (1124) all_1673_2 = all_1668_2
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1124) implies:
% 251.40/43.01 | (1125) all_1673_2 = all_1668_2
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (936), (937) imply:
% 251.40/43.01 | (1126) all_1666_10 = all_1172_0
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1126) implies:
% 251.40/43.01 | (1127) all_1666_10 = all_1172_0
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1046), (1047) imply:
% 251.40/43.01 | (1128) all_1658_4 = all_1470_4
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1128) implies:
% 251.40/43.01 | (1129) all_1658_4 = all_1470_4
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (853), (1119) imply:
% 251.40/43.01 | (1130) all_1688_1 = all_1515_1
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1130) implies:
% 251.40/43.01 | (1131) all_1688_1 = all_1515_1
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (866), (1099) imply:
% 251.40/43.01 | (1132) all_1688_2 = all_1498_5
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1132) implies:
% 251.40/43.01 | (1133) all_1688_2 = all_1498_5
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1044), (1045) imply:
% 251.40/43.01 | (1134) all_1666_3 = all_1158_0
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1134) implies:
% 251.40/43.01 | (1135) all_1666_3 = all_1158_0
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (852), (1131) imply:
% 251.40/43.01 | (1136) all_1673_1 = all_1515_1
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1136) implies:
% 251.40/43.01 | (1137) all_1673_1 = all_1515_1
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1122), (1133) imply:
% 251.40/43.01 | (1138) all_1685_1 = all_1498_5
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1138) implies:
% 251.40/43.01 | (1139) all_1685_1 = all_1498_5
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (849), (850) imply:
% 251.40/43.01 | (1140) all_1668_1 = all_1666_6
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (849), (851) imply:
% 251.40/43.01 | (1141) all_1668_1 = all_1450_1
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1120), (1139) imply:
% 251.40/43.01 | (1142) all_1587_1 = all_1498_5
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1142) implies:
% 251.40/43.01 | (1143) all_1587_1 = all_1498_5
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (935), (1101) imply:
% 251.40/43.01 | (1144) all_1637_4 = all_1253_0
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1144) implies:
% 251.40/43.01 | (1145) all_1637_4 = all_1253_0
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1042), (1043) imply:
% 251.40/43.01 | (1146) all_1584_3 = all_1290_4
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1146) implies:
% 251.40/43.01 | (1147) all_1584_3 = all_1290_4
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (848), (1137) imply:
% 251.40/43.01 | (1148) all_1666_6 = all_1515_1
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1148) implies:
% 251.40/43.01 | (1149) all_1666_6 = all_1515_1
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1115), (1125) imply:
% 251.40/43.01 | (1150) all_1668_2 = all_1459_3
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1150) implies:
% 251.40/43.01 | (1151) all_1668_2 = all_1459_3
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1102), (1103) imply:
% 251.40/43.01 | (1152) all_1629_5 = all_1283_3
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1152) implies:
% 251.40/43.01 | (1153) all_1629_5 = all_1283_3
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1140), (1141) imply:
% 251.40/43.01 | (1154) all_1666_6 = all_1450_1
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1154) implies:
% 251.40/43.01 | (1155) all_1666_6 = all_1450_1
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1123), (1151) imply:
% 251.40/43.01 | (1156) all_1666_9 = all_1459_3
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1156) implies:
% 251.40/43.01 | (1157) all_1666_9 = all_1459_3
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1041), (1135) imply:
% 251.40/43.01 | (1158) all_1548_0 = all_1158_0
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1158) implies:
% 251.40/43.01 | (1159) all_1548_0 = all_1158_0
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (847), (1113) imply:
% 251.40/43.01 | (1160) all_1661_1 = all_1498_2
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1113), (1155) imply:
% 251.40/43.01 | (1161) all_1661_1 = all_1450_1
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1113), (1149) imply:
% 251.40/43.01 | (1162) all_1661_1 = all_1515_1
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (865), (1157) imply:
% 251.40/43.01 | (1163) all_1661_2 = all_1459_3
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1163) implies:
% 251.40/43.01 | (1164) all_1661_2 = all_1459_3
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (934), (1127) imply:
% 251.40/43.01 | (1165) all_1575_0 = all_1172_0
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1165) implies:
% 251.40/43.01 | (1166) all_1575_0 = all_1172_0
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1160), (1162) imply:
% 251.40/43.01 | (1167) all_1515_1 = all_1498_2
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1161), (1162) imply:
% 251.40/43.01 | (1168) all_1515_1 = all_1450_1
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (864), (1164) imply:
% 251.40/43.01 | (1169) all_1632_0 = all_1459_3
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1169) implies:
% 251.40/43.01 | (1170) all_1632_0 = all_1459_3
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1040), (1129) imply:
% 251.40/43.01 | (1171) all_1590_3 = all_1470_4
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1171) implies:
% 251.40/43.01 | (1172) all_1590_3 = all_1470_4
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1039), (1111) imply:
% 251.40/43.01 | (1173) all_1634_4 = all_1608_4
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1173) implies:
% 251.40/43.01 | (1174) all_1634_4 = all_1608_4
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1036), (1037) imply:
% 251.40/43.01 | (1175) all_1542_0 = all_1484_0
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1175) implies:
% 251.40/43.01 | (1176) all_1542_0 = all_1484_0
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1037), (1038) imply:
% 251.40/43.01 | (1177) all_1484_0 = all_1456_2
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (933), (1145) imply:
% 251.40/43.01 | (1178) all_1634_0 = all_1253_0
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1178) implies:
% 251.40/43.01 | (1179) all_1634_0 = all_1253_0
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (932), (1179) imply:
% 251.40/43.01 | (1180) all_1629_0 = all_1253_0
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1180) implies:
% 251.40/43.01 | (1181) all_1629_0 = all_1253_0
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1035), (1174) imply:
% 251.40/43.01 | (1182) all_1623_1 = all_1608_4
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1182) implies:
% 251.40/43.01 | (1183) all_1623_1 = all_1608_4
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (863), (1170) imply:
% 251.40/43.01 | (1184) all_1515_2 = all_1459_3
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1184) implies:
% 251.40/43.01 | (1185) all_1515_2 = all_1459_3
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (931), (1109) imply:
% 251.40/43.01 | (1186) all_1602_0 = all_1215_1
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1186) implies:
% 251.40/43.01 | (1187) all_1602_0 = all_1215_1
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (930), (1181) imply:
% 251.40/43.01 | (1188) all_1596_0 = all_1253_0
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1188) implies:
% 251.40/43.01 | (1189) all_1596_0 = all_1253_0
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1034), (1153) imply:
% 251.40/43.01 | (1190) all_1551_1 = all_1283_3
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1190) implies:
% 251.40/43.01 | (1191) all_1551_1 = all_1283_3
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1032), (1183) imply:
% 251.40/43.01 | (1192) all_1608_4 = all_1524_3
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1031), (1183) imply:
% 251.40/43.01 | (1193) all_1608_4 = all_1551_1
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1033), (1183) imply:
% 251.40/43.01 | (1194) all_1608_4 = all_1521_3
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1029), (1030) imply:
% 251.40/43.01 | (1195) all_1563_3 = all_1062_1
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1195) implies:
% 251.40/43.01 | (1196) all_1563_3 = all_1062_1
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1027), (1028) imply:
% 251.40/43.01 | (1197) all_1593_0 = all_1566_0
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1197) implies:
% 251.40/43.01 | (1198) all_1593_0 = all_1566_0
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1192), (1194) imply:
% 251.40/43.01 | (1199) all_1524_3 = all_1521_3
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (1192), (1193) imply:
% 251.40/43.01 | (1200) all_1551_1 = all_1524_3
% 251.40/43.01 |
% 251.40/43.01 | SIMP: (1200) implies:
% 251.40/43.01 | (1201) all_1551_1 = all_1524_3
% 251.40/43.01 |
% 251.40/43.01 | COMBINE_EQS: (929), (1117) imply:
% 251.40/43.02 | (1202) all_1590_4 = all_1185_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1202) implies:
% 251.40/43.02 | (1203) all_1590_4 = all_1185_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (928), (1187) imply:
% 251.40/43.02 | (1204) all_1355_0 = all_1215_1
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1204) implies:
% 251.40/43.02 | (1205) all_1355_0 = all_1215_1
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (927), (1189) imply:
% 251.40/43.02 | (1206) all_1584_4 = all_1253_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1206) implies:
% 251.40/43.02 | (1207) all_1584_4 = all_1253_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1024), (1198) imply:
% 251.40/43.02 | (1208) all_1566_0 = all_1393_1
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1026), (1198) imply:
% 251.40/43.02 | (1209) all_1566_0 = all_1268_2
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1023), (1198) imply:
% 251.40/43.02 | (1210) all_1566_0 = all_1423_2
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1025), (1198) imply:
% 251.40/43.02 | (1211) all_1566_0 = all_1285_1
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1022), (1172) imply:
% 251.40/43.02 | (1212) all_1530_4 = all_1470_4
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1212) implies:
% 251.40/43.02 | (1213) all_1530_4 = all_1470_4
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (926), (1203) imply:
% 251.40/43.02 | (1214) all_1316_0 = all_1185_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1214) implies:
% 251.40/43.02 | (1215) all_1316_0 = all_1185_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (862), (1143) imply:
% 251.40/43.02 | (1216) all_1515_2 = all_1498_5
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1216) implies:
% 251.40/43.02 | (1217) all_1515_2 = all_1498_5
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1021), (1147) imply:
% 251.40/43.02 | (1218) all_1475_2 = all_1290_4
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1218) implies:
% 251.40/43.02 | (1219) all_1475_2 = all_1290_4
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (925), (1207) imply:
% 251.40/43.02 | (1220) all_1527_0 = all_1253_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1220) implies:
% 251.40/43.02 | (1221) all_1527_0 = all_1253_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (975), (976) imply:
% 251.40/43.02 | (1222) all_1512_0 = all_1050_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1222) implies:
% 251.40/43.02 | (1223) all_1512_0 = all_1050_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1074), (1075) imply:
% 251.40/43.02 | (1224) all_1096_0 = all_1082_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1224) implies:
% 251.40/43.02 | (1225) all_1096_0 = all_1082_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1075), (1076) imply:
% 251.40/43.02 | (1226) all_1082_0 = all_1039_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (973), (974) imply:
% 251.40/43.02 | (1227) all_1096_1 = all_971_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1227) implies:
% 251.40/43.02 | (1228) all_1096_1 = all_971_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (924), (1166) imply:
% 251.40/43.02 | (1229) all_1495_0 = all_1172_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1229) implies:
% 251.40/43.02 | (1230) all_1495_0 = all_1172_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1208), (1210) imply:
% 251.40/43.02 | (1231) all_1423_2 = all_1393_1
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1231) implies:
% 251.40/43.02 | (1232) all_1423_2 = all_1393_1
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1208), (1209) imply:
% 251.40/43.02 | (1233) all_1393_1 = all_1268_2
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1208), (1211) imply:
% 251.40/43.02 | (1234) all_1393_1 = all_1285_1
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1020), (1196) imply:
% 251.40/43.02 | (1235) all_1539_1 = all_1062_1
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1235) implies:
% 251.40/43.02 | (1236) all_1539_1 = all_1062_1
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (923), (1092) imply:
% 251.40/43.02 | (1237) all_1506_1 = all_1152_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1237) implies:
% 251.40/43.02 | (1238) all_1506_1 = all_1152_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1019), (1094) imply:
% 251.40/43.02 | (1239) all_1542_0 = all_1311_4
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1239) implies:
% 251.40/43.02 | (1240) all_1542_0 = all_1311_4
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1191), (1201) imply:
% 251.40/43.02 | (1241) all_1524_3 = all_1283_3
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1241) implies:
% 251.40/43.02 | (1242) all_1524_3 = all_1283_3
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1018), (1159) imply:
% 251.40/43.02 | (1243) all_1545_0 = all_1158_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1243) implies:
% 251.40/43.02 | (1244) all_1545_0 = all_1158_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1017), (1244) imply:
% 251.40/43.02 | (1245) all_1533_0 = all_1158_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1245) implies:
% 251.40/43.02 | (1246) all_1533_0 = all_1158_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1176), (1240) imply:
% 251.40/43.02 | (1247) all_1484_0 = all_1311_4
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1247) implies:
% 251.40/43.02 | (1248) all_1484_0 = all_1311_4
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1016), (1236) imply:
% 251.40/43.02 | (1249) all_1500_2 = all_1062_1
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1249) implies:
% 251.40/43.02 | (1250) all_1500_2 = all_1062_1
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1015), (1246) imply:
% 251.40/43.02 | (1251) all_1478_1 = all_1158_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1251) implies:
% 251.40/43.02 | (1252) all_1478_1 = all_1158_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1013), (1213) imply:
% 251.40/43.02 | (1253) all_1500_2 = all_1470_4
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1253) implies:
% 251.40/43.02 | (1254) all_1500_2 = all_1470_4
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1014), (1213) imply:
% 251.40/43.02 | (1255) all_1470_4 = all_1390_4
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (922), (1221) imply:
% 251.40/43.02 | (1256) all_1313_0 = all_1253_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1256) implies:
% 251.40/43.02 | (1257) all_1313_0 = all_1253_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1199), (1242) imply:
% 251.40/43.02 | (1258) all_1521_3 = all_1283_3
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1258) implies:
% 251.40/43.02 | (1259) all_1521_3 = all_1283_3
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (919), (921) imply:
% 251.40/43.02 | (1260) all_1349_0 = all_995_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (919), (920) imply:
% 251.40/43.02 | (1261) all_1349_0 = all_997_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (918), (919) imply:
% 251.40/43.02 | (1262) all_1444_0 = all_1349_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1262) implies:
% 251.40/43.02 | (1263) all_1444_0 = all_1349_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1072), (1073) imply:
% 251.40/43.02 | (1264) all_1429_0 = all_1161_1
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1264) implies:
% 251.40/43.02 | (1265) all_1429_0 = all_1161_1
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1012), (1259) imply:
% 251.40/43.02 | (1266) all_1438_2 = all_1283_3
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1266) implies:
% 251.40/43.02 | (1267) all_1438_2 = all_1283_3
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (971), (972) imply:
% 251.40/43.02 | (1268) all_1441_0 = all_1218_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1268) implies:
% 251.40/43.02 | (1269) all_1441_0 = all_1218_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1167), (1168) imply:
% 251.40/43.02 | (1270) all_1498_2 = all_1450_1
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (861), (1217) imply:
% 251.40/43.02 | (1271) all_1498_5 = all_1487_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1185), (1217) imply:
% 251.40/43.02 | (1272) all_1498_5 = all_1459_3
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (970), (1223) imply:
% 251.40/43.02 | (1273) all_1406_0 = all_1050_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1273) implies:
% 251.40/43.02 | (1274) all_1406_0 = all_1050_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (917), (1238) imply:
% 251.40/43.02 | (1275) all_1432_0 = all_1152_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1275) implies:
% 251.40/43.02 | (1276) all_1432_0 = all_1152_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1068), (1071) imply:
% 251.40/43.02 | (1277) all_1464_0 = all_1337_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1068), (1069) imply:
% 251.40/43.02 | (1278) all_1464_0 = all_1429_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1068), (1070) imply:
% 251.40/43.02 | (1279) all_1464_0 = all_1367_1
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1250), (1254) imply:
% 251.40/43.02 | (1280) all_1470_4 = all_1062_1
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1280) implies:
% 251.40/43.02 | (1281) all_1470_4 = all_1062_1
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1271), (1272) imply:
% 251.40/43.02 | (1282) all_1487_0 = all_1459_3
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1282) implies:
% 251.40/43.02 | (1283) all_1487_0 = all_1459_3
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (915), (916) imply:
% 251.40/43.02 | (1284) all_1290_0 = all_1169_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1284) implies:
% 251.40/43.02 | (1285) all_1290_0 = all_1169_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1082), (1230) imply:
% 251.40/43.02 | (1286) all_1481_0 = all_1172_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1286) implies:
% 251.40/43.02 | (1287) all_1481_0 = all_1172_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (913), (914) imply:
% 251.40/43.02 | (1288) all_997_0 = all_985_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1288) implies:
% 251.40/43.02 | (1289) all_997_0 = all_985_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1107), (1283) imply:
% 251.40/43.02 | (1290) all_1459_3 = all_1450_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1290) implies:
% 251.40/43.02 | (1291) all_1459_3 = all_1450_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1177), (1248) imply:
% 251.40/43.02 | (1292) all_1456_2 = all_1311_4
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1292) implies:
% 251.40/43.02 | (1293) all_1456_2 = all_1311_4
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1080), (1287) imply:
% 251.40/43.02 | (1294) all_1435_0 = all_1172_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1294) implies:
% 251.40/43.02 | (1295) all_1435_0 = all_1172_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1011), (1252) imply:
% 251.40/43.02 | (1296) all_1472_0 = all_1158_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1296) implies:
% 251.40/43.02 | (1297) all_1472_0 = all_1158_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1010), (1219) imply:
% 251.40/43.02 | (1298) all_1352_2 = all_1290_4
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1298) implies:
% 251.40/43.02 | (1299) all_1352_2 = all_1290_4
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1009), (1297) imply:
% 251.40/43.02 | (1300) all_1412_1 = all_1158_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1300) implies:
% 251.40/43.02 | (1301) all_1412_1 = all_1158_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1255), (1281) imply:
% 251.40/43.02 | (1302) all_1390_4 = all_1062_1
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1302) implies:
% 251.40/43.02 | (1303) all_1390_4 = all_1062_1
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1278), (1279) imply:
% 251.40/43.02 | (1304) all_1429_0 = all_1367_1
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1304) implies:
% 251.40/43.02 | (1305) all_1429_0 = all_1367_1
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1277), (1279) imply:
% 251.40/43.02 | (1306) all_1367_1 = all_1337_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (968), (969) imply:
% 251.40/43.02 | (1307) all_1146_0 = all_1117_1
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (967), (968) imply:
% 251.40/43.02 | (1308) all_1161_0 = all_1146_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1308) implies:
% 251.40/43.02 | (1309) all_1161_0 = all_1146_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1008), (1293) imply:
% 251.40/43.02 | (1310) all_1447_4 = all_1311_4
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1310) implies:
% 251.40/43.02 | (1311) all_1447_4 = all_1311_4
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (910), (912) imply:
% 251.40/43.02 | (1312) all_1328_1 = all_1250_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1312) implies:
% 251.40/43.02 | (1313) all_1328_1 = all_1250_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (909), (912) imply:
% 251.40/43.02 | (1314) all_1361_0 = all_1250_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1314) implies:
% 251.40/43.02 | (1315) all_1361_0 = all_1250_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (911), (912) imply:
% 251.40/43.02 | (1316) all_1259_0 = all_1250_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1316) implies:
% 251.40/43.02 | (1317) all_1259_0 = all_1250_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1007), (1311) imply:
% 251.40/43.02 | (1318) all_1415_5 = all_1311_4
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1318) implies:
% 251.40/43.02 | (1319) all_1415_5 = all_1311_4
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (907), (908) imply:
% 251.40/43.02 | (1320) all_1400_0 = all_1373_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1320) implies:
% 251.40/43.02 | (1321) all_1400_0 = all_1373_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (908), (1263) imply:
% 251.40/43.02 | (1322) all_1373_0 = all_1349_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (965), (1269) imply:
% 251.40/43.02 | (1323) all_1266_3 = all_1218_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1323) implies:
% 251.40/43.02 | (1324) all_1266_3 = all_1218_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (966), (1269) imply:
% 251.40/43.02 | (1325) all_1218_0 = all_1212_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1006), (1267) imply:
% 251.40/43.02 | (1326) all_1423_2 = all_1283_3
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1326) implies:
% 251.40/43.02 | (1327) all_1423_2 = all_1283_3
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (906), (1295) imply:
% 251.40/43.02 | (1328) all_1409_0 = all_1172_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1328) implies:
% 251.40/43.02 | (1329) all_1409_0 = all_1172_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (905), (1276) imply:
% 251.40/43.02 | (1330) all_1306_4 = all_1152_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1330) implies:
% 251.40/43.02 | (1331) all_1306_4 = all_1152_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1265), (1305) imply:
% 251.40/43.02 | (1332) all_1367_1 = all_1161_1
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1332) implies:
% 251.40/43.02 | (1333) all_1367_1 = all_1161_1
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1232), (1327) imply:
% 251.40/43.02 | (1334) all_1393_1 = all_1283_3
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1334) implies:
% 251.40/43.02 | (1335) all_1393_1 = all_1283_3
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1066), (1067) imply:
% 251.40/43.02 | (1336) all_1177_0 = all_1110_1
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1336) implies:
% 251.40/43.02 | (1337) all_1177_0 = all_1110_1
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1005), (1319) imply:
% 251.40/43.02 | (1338) all_1311_4 = all_1306_3
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1004), (1319) imply:
% 251.40/43.02 | (1339) all_1379_5 = all_1311_4
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1339) implies:
% 251.40/43.02 | (1340) all_1379_5 = all_1311_4
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1003), (1301) imply:
% 251.40/43.02 | (1341) all_1398_5 = all_1158_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1341) implies:
% 251.40/43.02 | (1342) all_1398_5 = all_1158_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (904), (1329) imply:
% 251.40/43.02 | (1343) all_1400_0 = all_1172_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1343) implies:
% 251.40/43.02 | (1344) all_1400_0 = all_1172_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (964), (1274) imply:
% 251.40/43.02 | (1345) all_1343_0 = all_1050_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1345) implies:
% 251.40/43.02 | (1346) all_1343_0 = all_1050_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1321), (1344) imply:
% 251.40/43.02 | (1347) all_1373_0 = all_1172_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1347) implies:
% 251.40/43.02 | (1348) all_1373_0 = all_1172_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1002), (1342) imply:
% 251.40/43.02 | (1349) all_1376_1 = all_1158_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1349) implies:
% 251.40/43.02 | (1350) all_1376_1 = all_1158_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1000), (1001) imply:
% 251.40/43.02 | (1351) all_1322_3 = all_1175_2
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1351) implies:
% 251.40/43.02 | (1352) all_1322_3 = all_1175_2
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1234), (1335) imply:
% 251.40/43.02 | (1353) all_1285_1 = all_1283_3
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1353) implies:
% 251.40/43.02 | (1354) all_1285_1 = all_1283_3
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1233), (1335) imply:
% 251.40/43.02 | (1355) all_1283_3 = all_1268_2
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (999), (1303) imply:
% 251.40/43.02 | (1356) all_1379_5 = all_1062_1
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1356) implies:
% 251.40/43.02 | (1357) all_1379_5 = all_1062_1
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (997), (998) imply:
% 251.40/43.02 | (1358) all_1364_2 = all_1221_2
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1358) implies:
% 251.40/43.02 | (1359) all_1364_2 = all_1221_2
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (901), (903) imply:
% 251.40/43.02 | (1360) all_1316_0 = all_1283_4
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1360) implies:
% 251.40/43.02 | (1361) all_1316_0 = all_1283_4
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (902), (903) imply:
% 251.40/43.02 | (1362) all_1290_0 = all_1283_4
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1362) implies:
% 251.40/43.02 | (1363) all_1290_0 = all_1283_4
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (900), (903) imply:
% 251.40/43.02 | (1364) all_1361_0 = all_1283_4
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1364) implies:
% 251.40/43.02 | (1365) all_1361_0 = all_1283_4
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1340), (1357) imply:
% 251.40/43.02 | (1366) all_1311_4 = all_1062_1
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1366) implies:
% 251.40/43.02 | (1367) all_1311_4 = all_1062_1
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (996), (1350) imply:
% 251.40/43.02 | (1368) all_1303_0 = all_1158_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1368) implies:
% 251.40/43.02 | (1369) all_1303_0 = all_1158_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1322), (1348) imply:
% 251.40/43.02 | (1370) all_1349_0 = all_1172_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1370) implies:
% 251.40/43.02 | (1371) all_1349_0 = all_1172_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (961), (963) imply:
% 251.40/43.02 | (1372) all_1295_0 = all_1048_1
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (961), (962) imply:
% 251.40/43.02 | (1373) all_1295_0 = all_1277_1
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1306), (1333) imply:
% 251.40/43.02 | (1374) all_1337_0 = all_1161_1
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1374) implies:
% 251.40/43.02 | (1375) all_1337_0 = all_1161_1
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (995), (1359) imply:
% 251.40/43.02 | (1376) all_1221_2 = all_1210_1
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (994), (1359) imply:
% 251.40/43.02 | (1377) all_1223_0 = all_1221_2
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1377) implies:
% 251.40/43.02 | (1378) all_1223_0 = all_1221_2
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (899), (1365) imply:
% 251.40/43.02 | (1379) all_1283_4 = all_1199_1
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1379) implies:
% 251.40/43.02 | (1380) all_1283_4 = all_1199_1
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (899), (1315) imply:
% 251.40/43.02 | (1381) all_1250_0 = all_1199_1
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1381) implies:
% 251.40/43.02 | (1382) all_1250_0 = all_1199_1
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (897), (898) imply:
% 251.40/43.02 | (1383) all_1319_0 = all_975_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1383) implies:
% 251.40/43.02 | (1384) all_1319_0 = all_975_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (896), (1205) imply:
% 251.40/43.02 | (1385) all_1259_0 = all_1215_1
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1385) implies:
% 251.40/43.02 | (1386) all_1259_0 = all_1215_1
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (992), (1299) imply:
% 251.40/43.02 | (1387) all_1290_4 = all_1232_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (991), (1299) imply:
% 251.40/43.02 | (1388) all_1290_4 = all_1236_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (993), (1299) imply:
% 251.40/43.02 | (1389) all_1290_4 = all_1226_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1260), (1371) imply:
% 251.40/43.02 | (1390) all_1172_0 = all_995_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1261), (1371) imply:
% 251.40/43.02 | (1391) all_1172_0 = all_997_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (960), (1346) imply:
% 251.40/43.02 | (1392) all_1266_3 = all_1050_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1392) implies:
% 251.40/43.02 | (1393) all_1266_3 = all_1050_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1064), (1065) imply:
% 251.40/43.02 | (1394) all_1277_0 = all_1048_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1394) implies:
% 251.40/43.02 | (1395) all_1277_0 = all_1048_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1063), (1375) imply:
% 251.40/43.02 | (1396) all_1191_0 = all_1161_1
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1396) implies:
% 251.40/43.02 | (1397) all_1191_0 = all_1161_1
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (895), (1313) imply:
% 251.40/43.02 | (1398) all_1250_0 = all_1239_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1398) implies:
% 251.40/43.02 | (1399) all_1250_0 = all_1239_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (894), (895) imply:
% 251.40/43.02 | (1400) all_1313_0 = all_1239_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1400) implies:
% 251.40/43.02 | (1401) all_1313_0 = all_1239_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (990), (1352) imply:
% 251.40/43.02 | (1402) all_1175_2 = all_1167_2
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (989), (1352) imply:
% 251.40/43.02 | (1403) all_1194_2 = all_1175_2
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1403) implies:
% 251.40/43.02 | (1404) all_1194_2 = all_1175_2
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (893), (1384) imply:
% 251.40/43.02 | (1405) all_1313_0 = all_975_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1405) implies:
% 251.40/43.02 | (1406) all_1313_0 = all_975_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1215), (1361) imply:
% 251.40/43.02 | (1407) all_1283_4 = all_1185_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1407) implies:
% 251.40/43.02 | (1408) all_1283_4 = all_1185_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1257), (1401) imply:
% 251.40/43.02 | (1409) all_1253_0 = all_1239_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1257), (1406) imply:
% 251.40/43.02 | (1410) all_1253_0 = all_975_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (1338), (1367) imply:
% 251.40/43.02 | (1411) all_1306_3 = all_1062_1
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1411) implies:
% 251.40/43.02 | (1412) all_1306_3 = all_1062_1
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (988), (1412) imply:
% 251.40/43.02 | (1413) all_1300_0 = all_1062_1
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1413) implies:
% 251.40/43.02 | (1414) all_1300_0 = all_1062_1
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (892), (1331) imply:
% 251.40/43.02 | (1415) all_1152_0 = all_1128_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (891), (1331) imply:
% 251.40/43.02 | (1416) all_1290_0 = all_1152_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1416) implies:
% 251.40/43.02 | (1417) all_1290_0 = all_1152_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (987), (1369) imply:
% 251.40/43.02 | (1418) all_1158_0 = all_1110_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (986), (1369) imply:
% 251.40/43.02 | (1419) all_1167_2 = all_1158_0
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1419) implies:
% 251.40/43.02 | (1420) all_1167_2 = all_1158_0
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (985), (1414) imply:
% 251.40/43.02 | (1421) all_1298_4 = all_1062_1
% 251.40/43.02 |
% 251.40/43.02 | SIMP: (1421) implies:
% 251.40/43.02 | (1422) all_1298_4 = all_1062_1
% 251.40/43.02 |
% 251.40/43.02 | COMBINE_EQS: (984), (1422) imply:
% 251.40/43.03 | (1423) all_1285_1 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1423) implies:
% 251.40/43.03 | (1424) all_1285_1 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1372), (1373) imply:
% 251.40/43.03 | (1425) all_1277_1 = all_1048_1
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1425) implies:
% 251.40/43.03 | (1426) all_1277_1 = all_1048_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1285), (1363) imply:
% 251.40/43.03 | (1427) all_1283_4 = all_1169_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1427) implies:
% 251.40/43.03 | (1428) all_1283_4 = all_1169_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1285), (1417) imply:
% 251.40/43.03 | (1429) all_1169_0 = all_1152_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1387), (1389) imply:
% 251.40/43.03 | (1430) all_1232_0 = all_1226_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1387), (1388) imply:
% 251.40/43.03 | (1431) all_1236_0 = all_1232_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1431) implies:
% 251.40/43.03 | (1432) all_1236_0 = all_1232_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1354), (1424) imply:
% 251.40/43.03 | (1433) all_1283_3 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1433) implies:
% 251.40/43.03 | (1434) all_1283_3 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1355), (1434) imply:
% 251.40/43.03 | (1435) all_1268_2 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1435) implies:
% 251.40/43.03 | (1436) all_1268_2 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1408), (1428) imply:
% 251.40/43.03 | (1437) all_1185_0 = all_1169_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1380), (1408) imply:
% 251.40/43.03 | (1438) all_1199_1 = all_1185_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1438) implies:
% 251.40/43.03 | (1439) all_1199_1 = all_1185_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1062), (1395) imply:
% 251.40/43.03 | (1440) all_1112_0 = all_1048_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1440) implies:
% 251.40/43.03 | (1441) all_1112_0 = all_1048_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (958), (1426) imply:
% 251.40/43.03 | (1442) all_1104_0 = all_1048_1
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1442) implies:
% 251.40/43.03 | (1443) all_1104_0 = all_1048_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (959), (1426) imply:
% 251.40/43.03 | (1444) all_1048_1 = all_1031_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (983), (1436) imply:
% 251.40/43.03 | (1445) all_1266_2 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1445) implies:
% 251.40/43.03 | (1446) all_1266_2 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1078), (1446) imply:
% 251.40/43.03 | (1447) all_1264_3 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1447) implies:
% 251.40/43.03 | (1448) all_1264_3 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1324), (1393) imply:
% 251.40/43.03 | (1449) all_1218_0 = all_1050_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1449) implies:
% 251.40/43.03 | (1450) all_1218_0 = all_1050_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1079), (1448) imply:
% 251.40/43.03 | (1451) all_1262_3 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1451) implies:
% 251.40/43.03 | (1452) all_1262_3 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (982), (1452) imply:
% 251.40/43.03 | (1453) all_1248_3 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1453) implies:
% 251.40/43.03 | (1454) all_1248_3 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1317), (1386) imply:
% 251.40/43.03 | (1455) all_1250_0 = all_1215_1
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1455) implies:
% 251.40/43.03 | (1456) all_1250_0 = all_1215_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1409), (1410) imply:
% 251.40/43.03 | (1457) all_1239_0 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1457) implies:
% 251.40/43.03 | (1458) all_1239_0 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1399), (1456) imply:
% 251.40/43.03 | (1459) all_1239_0 = all_1215_1
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1459) implies:
% 251.40/43.03 | (1460) all_1239_0 = all_1215_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1382), (1456) imply:
% 251.40/43.03 | (1461) all_1215_1 = all_1199_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (981), (1454) imply:
% 251.40/43.03 | (1462) all_1236_0 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1462) implies:
% 251.40/43.03 | (1463) all_1236_0 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1458), (1460) imply:
% 251.40/43.03 | (1464) all_1215_1 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1464) implies:
% 251.40/43.03 | (1465) all_1215_1 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1432), (1463) imply:
% 251.40/43.03 | (1466) all_1232_0 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1466) implies:
% 251.40/43.03 | (1467) all_1232_0 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1430), (1467) imply:
% 251.40/43.03 | (1468) all_1226_0 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1468) implies:
% 251.40/43.03 | (1469) all_1226_0 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (980), (1469) imply:
% 251.40/43.03 | (1470) all_1223_0 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1470) implies:
% 251.40/43.03 | (1471) all_1223_0 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1378), (1471) imply:
% 251.40/43.03 | (1472) all_1221_2 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1472) implies:
% 251.40/43.03 | (1473) all_1221_2 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1376), (1473) imply:
% 251.40/43.03 | (1474) all_1210_1 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1474) implies:
% 251.40/43.03 | (1475) all_1210_1 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1325), (1450) imply:
% 251.40/43.03 | (1476) all_1212_0 = all_1050_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1476) implies:
% 251.40/43.03 | (1477) all_1212_0 = all_1050_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1461), (1465) imply:
% 251.40/43.03 | (1478) all_1199_1 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1478) implies:
% 251.40/43.03 | (1479) all_1199_1 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (957), (1477) imply:
% 251.40/43.03 | (1480) all_1194_3 = all_1050_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1480) implies:
% 251.40/43.03 | (1481) all_1194_3 = all_1050_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (979), (1475) imply:
% 251.40/43.03 | (1482) all_1202_3 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1482) implies:
% 251.40/43.03 | (1483) all_1202_3 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (978), (1483) imply:
% 251.40/43.03 | (1484) all_1194_2 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1484) implies:
% 251.40/43.03 | (1485) all_1194_2 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1439), (1479) imply:
% 251.40/43.03 | (1486) all_1185_0 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1486) implies:
% 251.40/43.03 | (1487) all_1185_0 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1404), (1485) imply:
% 251.40/43.03 | (1488) all_1175_2 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1488) implies:
% 251.40/43.03 | (1489) all_1175_2 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (956), (1481) imply:
% 251.40/43.03 | (1490) all_1161_0 = all_1050_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1490) implies:
% 251.40/43.03 | (1491) all_1161_0 = all_1050_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1061), (1397) imply:
% 251.40/43.03 | (1492) all_1177_0 = all_1161_1
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1492) implies:
% 251.40/43.03 | (1493) all_1177_0 = all_1161_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1437), (1487) imply:
% 251.40/43.03 | (1494) all_1169_0 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1494) implies:
% 251.40/43.03 | (1495) all_1169_0 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1060), (1493) imply:
% 251.40/43.03 | (1496) all_1161_1 = all_1112_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1337), (1493) imply:
% 251.40/43.03 | (1497) all_1161_1 = all_1110_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1402), (1489) imply:
% 251.40/43.03 | (1498) all_1167_2 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1498) implies:
% 251.40/43.03 | (1499) all_1167_2 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1390), (1391) imply:
% 251.40/43.03 | (1500) all_997_0 = all_995_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1500) implies:
% 251.40/43.03 | (1501) all_997_0 = all_995_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1429), (1495) imply:
% 251.40/43.03 | (1502) all_1152_0 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1502) implies:
% 251.40/43.03 | (1503) all_1152_0 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1420), (1499) imply:
% 251.40/43.03 | (1504) all_1158_0 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1504) implies:
% 251.40/43.03 | (1505) all_1158_0 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1309), (1491) imply:
% 251.40/43.03 | (1506) all_1146_0 = all_1050_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1506) implies:
% 251.40/43.03 | (1507) all_1146_0 = all_1050_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1496), (1497) imply:
% 251.40/43.03 | (1508) all_1112_0 = all_1110_1
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1508) implies:
% 251.40/43.03 | (1509) all_1112_0 = all_1110_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1418), (1505) imply:
% 251.40/43.03 | (1510) all_1110_0 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1510) implies:
% 251.40/43.03 | (1511) all_1110_0 = all_1062_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1415), (1503) imply:
% 251.40/43.03 | (1512) all_1128_0 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1512) implies:
% 251.40/43.03 | (1513) all_1128_0 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1307), (1507) imply:
% 251.40/43.03 | (1514) all_1117_1 = all_1050_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1514) implies:
% 251.40/43.03 | (1515) all_1117_1 = all_1050_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (890), (1513) imply:
% 251.40/43.03 | (1516) all_1126_1 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1516) implies:
% 251.40/43.03 | (1517) all_1126_1 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (889), (1517) imply:
% 251.40/43.03 | (1518) all_1119_1 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1518) implies:
% 251.40/43.03 | (1519) all_1119_1 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (888), (1519) imply:
% 251.40/43.03 | (1520) all_1075_1 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1520) implies:
% 251.40/43.03 | (1521) all_1075_1 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (955), (1515) imply:
% 251.40/43.03 | (1522) all_1112_1 = all_1050_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1522) implies:
% 251.40/43.03 | (1523) all_1112_1 = all_1050_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1059), (1509) imply:
% 251.40/43.03 | (1524) all_1110_1 = all_1096_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1441), (1509) imply:
% 251.40/43.03 | (1525) all_1110_1 = all_1048_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (954), (1523) imply:
% 251.40/43.03 | (1526) all_1104_0 = all_1050_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1526) implies:
% 251.40/43.03 | (1527) all_1104_0 = all_1050_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (977), (1511) imply:
% 251.40/43.03 | (1528) all_1062_1 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1524), (1525) imply:
% 251.40/43.03 | (1529) all_1096_0 = all_1048_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1529) implies:
% 251.40/43.03 | (1530) all_1096_0 = all_1048_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1443), (1527) imply:
% 251.40/43.03 | (1531) all_1050_0 = all_1048_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (953), (1527) imply:
% 251.40/43.03 | (1532) all_1050_0 = all_983_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1225), (1530) imply:
% 251.40/43.03 | (1533) all_1082_0 = all_1048_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1533) implies:
% 251.40/43.03 | (1534) all_1082_0 = all_1048_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (952), (1228) imply:
% 251.40/43.03 | (1535) all_987_0 = all_971_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1535) implies:
% 251.40/43.03 | (1536) all_987_0 = all_971_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1226), (1534) imply:
% 251.40/43.03 | (1537) all_1048_0 = all_1039_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (887), (1521) imply:
% 251.40/43.03 | (1538) all_1067_0 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1538) implies:
% 251.40/43.03 | (1539) all_1067_0 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (886), (1539) imply:
% 251.40/43.03 | (1540) all_1058_0 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1540) implies:
% 251.40/43.03 | (1541) all_1058_0 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (885), (1541) imply:
% 251.40/43.03 | (1542) all_1026_1 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1542) implies:
% 251.40/43.03 | (1543) all_1026_1 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1531), (1532) imply:
% 251.40/43.03 | (1544) all_1048_1 = all_983_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1544) implies:
% 251.40/43.03 | (1545) all_1048_1 = all_983_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1444), (1545) imply:
% 251.40/43.03 | (1546) all_1031_1 = all_983_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1546) implies:
% 251.40/43.03 | (1547) all_1031_1 = all_983_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (951), (1547) imply:
% 251.40/43.03 | (1548) all_987_0 = all_983_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1548) implies:
% 251.40/43.03 | (1549) all_987_0 = all_983_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (884), (1543) imply:
% 251.40/43.03 | (1550) all_989_0 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1550) implies:
% 251.40/43.03 | (1551) all_989_0 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (883), (1501) imply:
% 251.40/43.03 | (1552) all_995_0 = all_991_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1289), (1501) imply:
% 251.40/43.03 | (1553) all_995_0 = all_985_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1552), (1553) imply:
% 251.40/43.03 | (1554) all_991_0 = all_985_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1554) implies:
% 251.40/43.03 | (1555) all_991_0 = all_985_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (881), (882) imply:
% 251.40/43.03 | (1556) all_989_0 = all_977_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1556) implies:
% 251.40/43.03 | (1557) all_989_0 = all_977_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (880), (1555) imply:
% 251.40/43.03 | (1558) all_989_0 = all_985_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1558) implies:
% 251.40/43.03 | (1559) all_989_0 = all_985_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1557), (1559) imply:
% 251.40/43.03 | (1560) all_985_0 = all_977_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1551), (1559) imply:
% 251.40/43.03 | (1561) all_985_0 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (950), (1549) imply:
% 251.40/43.03 | (1562) all_983_0 = c_Int_OPls
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1536), (1549) imply:
% 251.40/43.03 | (1563) all_983_0 = all_971_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1560), (1561) imply:
% 251.40/43.03 | (1564) all_977_0 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1564) implies:
% 251.40/43.03 | (1565) all_977_0 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1562), (1563) imply:
% 251.40/43.03 | (1566) all_971_0 = c_Int_OPls
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1553), (1561) imply:
% 251.40/43.03 | (1567) all_995_0 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1547), (1562) imply:
% 251.40/43.03 | (1568) all_1031_1 = c_Int_OPls
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1545), (1562) imply:
% 251.40/43.03 | (1569) all_1048_1 = c_Int_OPls
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1532), (1562) imply:
% 251.40/43.03 | (1570) all_1050_0 = c_Int_OPls
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1525), (1537) imply:
% 251.40/43.03 | (1571) all_1110_1 = all_1039_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1523), (1570) imply:
% 251.40/43.03 | (1572) all_1112_1 = c_Int_OPls
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1509), (1571) imply:
% 251.40/43.03 | (1573) all_1112_0 = all_1039_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1505), (1528) imply:
% 251.40/43.03 | (1574) all_1158_0 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1390), (1567) imply:
% 251.40/43.03 | (1575) all_1172_0 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1489), (1528) imply:
% 251.40/43.03 | (1576) all_1175_2 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1481), (1570) imply:
% 251.40/43.03 | (1577) all_1194_3 = c_Int_OPls
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1485), (1528) imply:
% 251.40/43.03 | (1578) all_1194_2 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1483), (1528) imply:
% 251.40/43.03 | (1579) all_1202_3 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1475), (1528) imply:
% 251.40/43.03 | (1580) all_1210_1 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1473), (1528) imply:
% 251.40/43.03 | (1581) all_1221_2 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1467), (1528) imply:
% 251.40/43.03 | (1582) all_1232_0 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1454), (1528) imply:
% 251.40/43.03 | (1583) all_1248_3 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1452), (1528) imply:
% 251.40/43.03 | (1584) all_1262_3 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1448), (1528) imply:
% 251.40/43.03 | (1585) all_1264_3 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1393), (1570) imply:
% 251.40/43.03 | (1586) all_1266_3 = c_Int_OPls
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1436), (1528) imply:
% 251.40/43.03 | (1587) all_1268_2 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1434), (1528) imply:
% 251.40/43.03 | (1588) all_1283_3 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1424), (1528) imply:
% 251.40/43.03 | (1589) all_1285_1 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1387), (1582) imply:
% 251.40/43.03 | (1590) all_1290_4 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1285), (1495) imply:
% 251.40/43.03 | (1591) all_1290_0 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1422), (1528) imply:
% 251.40/43.03 | (1592) all_1298_4 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1331), (1503) imply:
% 251.40/43.03 | (1593) all_1306_4 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1412), (1528) imply:
% 251.40/43.03 | (1594) all_1306_3 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1367), (1528) imply:
% 251.40/43.03 | (1595) all_1311_4 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1352), (1576) imply:
% 251.40/43.03 | (1596) all_1322_3 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1299), (1590) imply:
% 251.40/43.03 | (1597) all_1352_2 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1359), (1581) imply:
% 251.40/43.03 | (1598) all_1364_2 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1350), (1574) imply:
% 251.40/43.03 | (1599) all_1376_1 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1357), (1528) imply:
% 251.40/43.03 | (1600) all_1379_5 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (998), (1581) imply:
% 251.40/43.03 | (1601) all_1381_3 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1303), (1528) imply:
% 251.40/43.03 | (1602) all_1390_4 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1335), (1588) imply:
% 251.40/43.03 | (1603) all_1393_1 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1001), (1576) imply:
% 251.40/43.03 | (1604) all_1396_3 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1329), (1575) imply:
% 251.40/43.03 | (1605) all_1409_0 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1301), (1574) imply:
% 251.40/43.03 | (1606) all_1412_1 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1319), (1595) imply:
% 251.40/43.03 | (1607) all_1415_5 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1295), (1575) imply:
% 251.40/43.03 | (1608) all_1435_0 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1267), (1588) imply:
% 251.40/43.03 | (1609) all_1438_2 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1311), (1595) imply:
% 251.40/43.03 | (1610) all_1447_4 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1293), (1595) imply:
% 251.40/43.03 | (1611) all_1456_2 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1281), (1528) imply:
% 251.40/43.03 | (1612) all_1470_4 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1219), (1590) imply:
% 251.40/43.03 | (1613) all_1475_2 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1252), (1574) imply:
% 251.40/43.03 | (1614) all_1478_1 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1248), (1595) imply:
% 251.40/43.03 | (1615) all_1484_0 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1272), (1291) imply:
% 251.40/43.03 | (1616) all_1498_5 = all_1450_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1250), (1528) imply:
% 251.40/43.03 | (1617) all_1500_2 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1259), (1588) imply:
% 251.40/43.03 | (1618) all_1521_3 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1242), (1588) imply:
% 251.40/43.03 | (1619) all_1524_3 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1213), (1612) imply:
% 251.40/43.03 | (1620) all_1530_4 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1094), (1595) imply:
% 251.40/43.03 | (1621) all_1554_1 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1196), (1528) imply:
% 251.40/43.03 | (1622) all_1563_3 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1208), (1603) imply:
% 251.40/43.03 | (1623) all_1566_0 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1147), (1590) imply:
% 251.40/43.03 | (1624) all_1584_3 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1172), (1612) imply:
% 251.40/43.03 | (1625) all_1590_3 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1192), (1619) imply:
% 251.40/43.03 | (1626) all_1608_4 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1028), (1623) imply:
% 251.40/43.03 | (1627) all_1611_4 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1030), (1528) imply:
% 251.40/43.03 | (1628) all_1617_1 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1153), (1588) imply:
% 251.40/43.03 | (1629) all_1629_5 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1174), (1626) imply:
% 251.40/43.03 | (1630) all_1634_4 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1037), (1615) imply:
% 251.40/43.03 | (1631) all_1637_2 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1111), (1626) imply:
% 251.40/43.03 | (1632) all_1652_5 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1129), (1612) imply:
% 251.40/43.03 | (1633) all_1658_4 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1127), (1575) imply:
% 251.40/43.03 | (1634) all_1666_10 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1157), (1291) imply:
% 251.40/43.03 | (1635) all_1666_9 = all_1450_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1135), (1574) imply:
% 251.40/43.03 | (1636) all_1666_3 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1151), (1291) imply:
% 251.40/43.03 | (1637) all_1668_2 = all_1450_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1102), (1588) imply:
% 251.40/43.03 | (1638) all_1671_4 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1043), (1590) imply:
% 251.40/43.03 | (1639) all_1676_2 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1045), (1574) imply:
% 251.40/43.03 | (1640) all_1690_4 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1099), (1616) imply:
% 251.40/43.03 | (1641) all_1696_13 = all_1450_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1119), (1168) imply:
% 251.40/43.03 | (1642) all_1696_7 = all_1450_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1047), (1612) imply:
% 251.40/43.03 | (1643) all_1696_4 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1105), (1168) imply:
% 251.40/43.03 | (1644) all_1704_0 = all_1450_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (873), (1291) imply:
% 251.40/43.03 | (1645) all_1707_9 = all_1450_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (855), (1161) imply:
% 251.40/43.03 | (1646) all_1707_6 = all_1450_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1049), (1626) imply:
% 251.40/43.03 | (1647) all_1707_3 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1088), (1168) imply:
% 251.40/43.03 | (1648) all_1710_6 = all_1450_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1050), (1638) imply:
% 251.40/43.03 | (1649) all_1710_3 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (943), (1410) imply:
% 251.40/43.03 | (1650) all_1712_18 = all_975_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (877), (1616) imply:
% 251.40/43.03 | (1651) all_1712_13 = all_1450_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (857), (1644) imply:
% 251.40/43.03 | (1652) all_1712_7 = all_1450_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1053), (1595) imply:
% 251.40/43.03 | (1653) all_1712_4 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (879), (1637) imply:
% 251.40/43.03 | (1654) all_1714_9 = all_1450_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (860), (1168) imply:
% 251.40/43.03 | (1655) all_1714_6 = all_1450_1
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1055), (1588) imply:
% 251.40/43.03 | (1656) all_1714_3 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | COMBINE_EQS: (1057), (1585) imply:
% 251.40/43.03 | (1657) all_1726_20 = all_1060_0
% 251.40/43.03 |
% 251.40/43.03 | REDUCE: (403), (1591) imply:
% 251.40/43.03 | (1658) ~ (all_1290_1 = all_975_0)
% 251.40/43.03 |
% 251.40/43.03 | SIMP: (1658) implies:
% 251.40/43.03 | (1659) ~ (all_1290_1 = all_975_0)
% 251.40/43.03 |
% 251.40/43.03 | REDUCE: (385), (1586) imply:
% 251.40/43.03 | (1660) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls,
% 251.40/43.03 | all_1266_0) = 0
% 251.40/43.03 |
% 251.40/43.03 | REDUCE: (329), (1577) imply:
% 251.40/43.04 | (1661) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls,
% 251.40/43.04 | all_1194_0) = 0
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (289), (1572), (1573) imply:
% 251.40/43.04 | (1662) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls,
% 251.40/43.04 | all_1039_0) = 0
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (238), (950) imply:
% 251.40/43.04 | (1663) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls,
% 251.40/43.04 | c_Int_OPls) = 0
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (425), (1593) imply:
% 251.40/43.04 | (1664) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_975_0,
% 251.40/43.04 | all_1306_0) = 0
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (844), (1657) imply:
% 251.40/43.04 | (1665) c_Int_OBit0(all_1060_0) = all_1726_19
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (837), (1656) imply:
% 251.40/43.04 | (1666) c_Int_OBit0(all_1060_0) = all_1714_2
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (824), (1653) imply:
% 251.40/43.04 | (1667) c_Int_OBit0(all_1060_0) = all_1712_3
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (801), (1649) imply:
% 251.40/43.04 | (1668) c_Int_OBit0(all_1060_0) = all_1710_2
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (789), (1647) imply:
% 251.40/43.04 | (1669) c_Int_OBit0(all_1060_0) = all_1707_2
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (770), (1643) imply:
% 251.40/43.04 | (1670) c_Int_OBit0(all_1060_0) = all_1696_3
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (754), (1640) imply:
% 251.40/43.04 | (1671) c_Int_OBit0(all_1060_0) = all_1690_3
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (741), (1639) imply:
% 251.40/43.04 | (1672) c_Int_OBit0(all_1060_0) = all_1676_1
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (734), (1638) imply:
% 251.40/43.04 | (1673) c_Int_OBit0(all_1060_0) = all_1671_3
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (726), (1636) imply:
% 251.40/43.04 | (1674) c_Int_OBit0(all_1060_0) = all_1666_2
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (707), (1633) imply:
% 251.40/43.04 | (1675) c_Int_OBit0(all_1060_0) = all_1658_3
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (702), (1632) imply:
% 251.40/43.04 | (1676) c_Int_OBit0(all_1060_0) = all_1652_4
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (699), (1631) imply:
% 251.40/43.04 | (1677) c_Int_OBit0(all_1060_0) = all_1637_1
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (694), (1630) imply:
% 251.40/43.04 | (1678) c_Int_OBit0(all_1060_0) = all_1634_3
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (686), (1629) imply:
% 251.40/43.04 | (1679) c_Int_OBit0(all_1060_0) = all_1629_4
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (678), (1628) imply:
% 251.40/43.04 | (1680) c_Int_OBit0(all_1060_0) = all_1617_0
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (675), (1627) imply:
% 251.40/43.04 | (1681) c_Int_OBit0(all_1060_0) = all_1611_3
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (670), (1626) imply:
% 251.40/43.04 | (1682) c_Int_OBit0(all_1060_0) = all_1608_3
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (657), (1625) imply:
% 251.40/43.04 | (1683) c_Int_OBit0(all_1060_0) = all_1590_2
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (649), (1624) imply:
% 251.40/43.04 | (1684) c_Int_OBit0(all_1060_0) = all_1584_2
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (634), (1622) imply:
% 251.40/43.04 | (1685) c_Int_OBit0(all_1060_0) = all_1563_2
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (627), (1621) imply:
% 251.40/43.04 | (1686) c_Int_OBit0(all_1060_0) = all_1554_0
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (612), (1620) imply:
% 251.40/43.04 | (1687) c_Int_OBit0(all_1060_0) = all_1530_3
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (605), (1619) imply:
% 251.40/43.04 | (1688) c_Int_OBit0(all_1060_0) = all_1524_2
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (598), (1618) imply:
% 251.40/43.04 | (1689) c_Int_OBit0(all_1060_0) = all_1521_2
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (583), (1617) imply:
% 251.40/43.04 | (1690) c_Int_OBit0(all_1060_0) = all_1500_1
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (561), (1614) imply:
% 251.40/43.04 | (1691) c_Int_OBit0(all_1060_0) = all_1478_0
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (558), (1613) imply:
% 251.40/43.04 | (1692) c_Int_OBit0(all_1060_0) = all_1475_1
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (552), (1612) imply:
% 251.40/43.04 | (1693) c_Int_OBit0(all_1060_0) = all_1470_3
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (535), (1611) imply:
% 251.40/43.04 | (1694) c_Int_OBit0(all_1060_0) = all_1456_1
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (526), (1610) imply:
% 251.40/43.04 | (1695) c_Int_OBit0(all_1060_0) = all_1447_3
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (518), (1609) imply:
% 251.40/43.04 | (1696) c_Int_OBit0(all_1060_0) = all_1438_1
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (503), (1607) imply:
% 251.40/43.04 | (1697) c_Int_OBit0(all_1060_0) = all_1415_4
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (500), (1606) imply:
% 251.40/43.04 | (1698) c_Int_OBit0(all_1060_0) = all_1412_0
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (488), (1604) imply:
% 251.40/43.04 | (1699) c_Int_OBit0(all_1060_0) = all_1396_2
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (485), (1603) imply:
% 251.40/43.04 | (1700) c_Int_OBit0(all_1060_0) = all_1393_0
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (482), (1602) imply:
% 251.40/43.04 | (1701) c_Int_OBit0(all_1060_0) = all_1390_3
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (477), (1601) imply:
% 251.40/43.04 | (1702) c_Int_OBit0(all_1060_0) = all_1381_2
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (473), (1600) imply:
% 251.40/43.04 | (1703) c_Int_OBit0(all_1060_0) = all_1379_4
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (467), (1599) imply:
% 251.40/43.04 | (1704) c_Int_OBit0(all_1060_0) = all_1376_0
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (459), (1598) imply:
% 251.40/43.04 | (1705) c_Int_OBit0(all_1060_0) = all_1364_1
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (450), (1597) imply:
% 251.40/43.04 | (1706) c_Int_OBit0(all_1060_0) = all_1352_1
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (438), (1596) imply:
% 251.40/43.04 | (1707) c_Int_OBit0(all_1060_0) = all_1322_2
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (427), (1595) imply:
% 251.40/43.04 | (1708) c_Int_OBit0(all_1060_0) = all_1311_3
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (423), (1594) imply:
% 251.40/43.04 | (1709) c_Int_OBit0(all_1060_0) = all_1306_2
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (413), (1592) imply:
% 251.40/43.04 | (1710) c_Int_OBit0(all_1060_0) = all_1298_3
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (407), (1590) imply:
% 251.40/43.04 | (1711) c_Int_OBit0(all_1060_0) = all_1290_3
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (400), (1589) imply:
% 251.40/43.04 | (1712) c_Int_OBit0(all_1060_0) = all_1285_0
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (397), (1588) imply:
% 251.40/43.04 | (1713) c_Int_OBit0(all_1060_0) = all_1283_2
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (388), (1587) imply:
% 251.40/43.04 | (1714) c_Int_OBit0(all_1060_0) = all_1268_1
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (379), (1585) imply:
% 251.40/43.04 | (1715) c_Int_OBit0(all_1060_0) = all_1264_2
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (374), (1584) imply:
% 251.40/43.04 | (1716) c_Int_OBit0(all_1060_0) = all_1262_2
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (360), (1583) imply:
% 251.40/43.04 | (1717) c_Int_OBit0(all_1060_0) = all_1248_2
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (347), (1581) imply:
% 251.40/43.04 | (1718) c_Int_OBit0(all_1060_0) = all_1221_1
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (338), (1580) imply:
% 251.40/43.04 | (1719) c_Int_OBit0(all_1060_0) = all_1210_0
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (335), (1579) imply:
% 251.40/43.04 | (1720) c_Int_OBit0(all_1060_0) = all_1202_2
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (327), (1578) imply:
% 251.40/43.04 | (1721) c_Int_OBit0(all_1060_0) = all_1194_1
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (316), (1576) imply:
% 251.40/43.04 | (1722) c_Int_OBit0(all_1060_0) = all_1175_1
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (830), (1655) imply:
% 251.40/43.04 | (1723) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1714_7,
% 251.40/43.04 | all_1450_1) = all_1714_5
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (815), (1652) imply:
% 251.40/43.04 | (1724) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1712_8,
% 251.40/43.04 | all_1450_1) = all_1712_6
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (794), (1648) imply:
% 251.40/43.04 | (1725) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1710_7,
% 251.40/43.04 | all_1450_1) = all_1710_5
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (782), (1646) imply:
% 251.40/43.04 | (1726) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1707_7,
% 251.40/43.04 | all_1450_1) = all_1707_5
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (763), (1642) imply:
% 251.40/43.04 | (1727) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1696_8,
% 251.40/43.04 | all_1450_1) = all_1696_6
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (719), (1155) imply:
% 251.40/43.04 | (1728) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1666_7,
% 251.40/43.04 | all_1450_1) = all_1666_5
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (576), (1270) imply:
% 251.40/43.04 | (1729) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1498_3,
% 251.40/43.04 | all_1450_1) = all_1498_1
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (812), (846) imply:
% 251.40/43.04 | (1730) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1073_1) =
% 251.40/43.04 | all_1712_16
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (258), (1537), (1569) imply:
% 251.40/43.04 | (1731) c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, all_1039_0) =
% 251.40/43.04 | 0
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (252), (1568) imply:
% 251.40/43.04 | (1732) c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OPls) =
% 251.40/43.04 | all_1031_0
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (809), (1650) imply:
% 251.40/43.04 | (1733) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_975_0,
% 251.40/43.04 | all_1712_16) = all_1712_15
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (717), (1634) imply:
% 251.40/43.04 | (1734) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_975_0,
% 251.40/43.04 | all_1666_0) = 0
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (828), (1654) imply:
% 251.40/43.04 | (1735) hAPP(all_1450_0, v_z____) = all_1714_8
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (808), (1651) imply:
% 251.40/43.04 | (1736) hAPP(all_1450_0, v_z____) = all_1712_11
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (807), (1651) imply:
% 251.40/43.04 | (1737) hAPP(all_1450_0, v_wa____) = all_1712_12
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (792), (875) imply:
% 251.40/43.04 | (1738) hAPP(all_1450_0, v_z____) = all_1710_8
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (780), (1645) imply:
% 251.40/43.04 | (1739) hAPP(all_1450_0, v_z____) = all_1707_8
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (759), (1641) imply:
% 251.40/43.04 | (1740) hAPP(all_1450_0, v_z____) = all_1696_11
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (758), (1641) imply:
% 251.40/43.04 | (1741) hAPP(all_1450_0, v_wa____) = all_1696_12
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (716), (1635) imply:
% 251.40/43.04 | (1742) hAPP(all_1450_0, v_z____) = all_1666_8
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (574), (1616) imply:
% 251.40/43.04 | (1743) hAPP(all_1450_0, v_z____) = all_1498_4
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (540), (1291) imply:
% 251.40/43.04 | (1744) hAPP(all_1450_0, all_1459_5) = all_1459_2
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (804), (846) imply:
% 251.40/43.04 | (1745) $i(all_1073_1)
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (257), (1537) imply:
% 251.40/43.04 | (1746) $i(all_1039_0)
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (230), (1565) imply:
% 251.40/43.04 | (1747) $i(all_975_0)
% 251.40/43.04 |
% 251.40/43.04 | REDUCE: (223), (1566) imply:
% 251.40/43.04 | (1748) $i(c_Int_OPls)
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (211) with all_1696_12, all_1712_12, v_wa____,
% 251.40/43.04 | all_1450_0, simplifying with (1737), (1741) gives:
% 251.40/43.04 | (1749) all_1712_12 = all_1696_12
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (211) with all_1666_8, all_1696_11, v_z____,
% 251.40/43.04 | all_1450_0, simplifying with (1740), (1742) gives:
% 251.40/43.04 | (1750) all_1696_11 = all_1666_8
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (211) with all_1696_11, all_1707_8, v_z____,
% 251.40/43.04 | all_1450_0, simplifying with (1739), (1740) gives:
% 251.40/43.04 | (1751) all_1707_8 = all_1696_11
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (211) with all_1707_8, all_1710_8, v_z____,
% 251.40/43.04 | all_1450_0, simplifying with (1738), (1739) gives:
% 251.40/43.04 | (1752) all_1710_8 = all_1707_8
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (211) with all_1710_8, all_1712_11, v_z____,
% 251.40/43.04 | all_1450_0, simplifying with (1736), (1738) gives:
% 251.40/43.04 | (1753) all_1712_11 = all_1710_8
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (211) with all_1712_11, all_1714_8, v_z____,
% 251.40/43.04 | all_1450_0, simplifying with (1735), (1736) gives:
% 251.40/43.04 | (1754) all_1714_8 = all_1712_11
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (211) with all_1498_4, all_1714_8, v_z____,
% 251.40/43.04 | all_1450_0, simplifying with (1735), (1743) gives:
% 251.40/43.04 | (1755) all_1714_8 = all_1498_4
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (217) with all_933_0, all_1031_0, c_Int_OPls,
% 251.40/43.04 | c_Int_OPls, tc_Int_Oint, simplifying with (221), (1732) gives:
% 251.40/43.04 | (1756) all_1031_0 = all_933_0
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (212) with all_1073_0, all_1712_16, all_1073_1,
% 251.40/43.04 | tc_Complex_Ocomplex, simplifying with (273), (1730) gives:
% 251.40/43.04 | (1757) all_1712_16 = all_1073_0
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1202_2, all_1221_1, all_1060_0,
% 251.40/43.04 | simplifying with (1718), (1720) gives:
% 251.40/43.04 | (1758) all_1221_1 = all_1202_2
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1175_1, all_1221_1, all_1060_0,
% 251.40/43.04 | simplifying with (1718), (1722) gives:
% 251.40/43.04 | (1759) all_1221_1 = all_1175_1
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1221_1, all_1248_2, all_1060_0,
% 251.40/43.04 | simplifying with (1717), (1718) gives:
% 251.40/43.04 | (1760) all_1248_2 = all_1221_1
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1248_2, all_1262_2, all_1060_0,
% 251.40/43.04 | simplifying with (1716), (1717) gives:
% 251.40/43.04 | (1761) all_1262_2 = all_1248_2
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1268_1, all_1283_2, all_1060_0,
% 251.40/43.04 | simplifying with (1713), (1714) gives:
% 251.40/43.04 | (1762) all_1283_2 = all_1268_1
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1283_2, all_1285_0, all_1060_0,
% 251.40/43.04 | simplifying with (1712), (1713) gives:
% 251.40/43.04 | (1763) all_1285_0 = all_1283_2
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1311_3, all_1352_1, all_1060_0,
% 251.40/43.04 | simplifying with (1706), (1708) gives:
% 251.40/43.04 | (1764) all_1352_1 = all_1311_3
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1306_2, all_1352_1, all_1060_0,
% 251.40/43.04 | simplifying with (1706), (1709) gives:
% 251.40/43.04 | (1765) all_1352_1 = all_1306_2
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1298_3, all_1352_1, all_1060_0,
% 251.40/43.04 | simplifying with (1706), (1710) gives:
% 251.40/43.04 | (1766) all_1352_1 = all_1298_3
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1364_1, all_1376_0, all_1060_0,
% 251.40/43.04 | simplifying with (1704), (1705) gives:
% 251.40/43.04 | (1767) all_1376_0 = all_1364_1
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1376_0, all_1379_4, all_1060_0,
% 251.40/43.04 | simplifying with (1703), (1704) gives:
% 251.40/43.04 | (1768) all_1379_4 = all_1376_0
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1221_1, all_1381_2, all_1060_0,
% 251.40/43.04 | simplifying with (1702), (1718) gives:
% 251.40/43.04 | (1769) all_1381_2 = all_1221_1
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1194_1, all_1381_2, all_1060_0,
% 251.40/43.04 | simplifying with (1702), (1721) gives:
% 251.40/43.04 | (1770) all_1381_2 = all_1194_1
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1298_3, all_1390_3, all_1060_0,
% 251.40/43.04 | simplifying with (1701), (1710) gives:
% 251.40/43.04 | (1771) all_1390_3 = all_1298_3
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1285_0, all_1390_3, all_1060_0,
% 251.40/43.04 | simplifying with (1701), (1712) gives:
% 251.40/43.04 | (1772) all_1390_3 = all_1285_0
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1390_3, all_1396_2, all_1060_0,
% 251.40/43.04 | simplifying with (1699), (1701) gives:
% 251.40/43.04 | (1773) all_1396_2 = all_1390_3
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1379_4, all_1415_4, all_1060_0,
% 251.40/43.04 | simplifying with (1697), (1703) gives:
% 251.40/43.04 | (1774) all_1415_4 = all_1379_4
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1393_0, all_1447_3, all_1060_0,
% 251.40/43.04 | simplifying with (1695), (1700) gives:
% 251.40/43.04 | (1775) all_1447_3 = all_1393_0
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1364_1, all_1447_3, all_1060_0,
% 251.40/43.04 | simplifying with (1695), (1705) gives:
% 251.40/43.04 | (1776) all_1447_3 = all_1364_1
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1322_2, all_1447_3, all_1060_0,
% 251.40/43.04 | simplifying with (1695), (1707) gives:
% 251.40/43.04 | (1777) all_1447_3 = all_1322_2
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1311_3, all_1447_3, all_1060_0,
% 251.40/43.04 | simplifying with (1695), (1708) gives:
% 251.40/43.04 | (1778) all_1447_3 = all_1311_3
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1415_4, all_1456_1, all_1060_0,
% 251.40/43.04 | simplifying with (1694), (1697) gives:
% 251.40/43.04 | (1779) all_1456_1 = all_1415_4
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1456_1, all_1470_3, all_1060_0,
% 251.40/43.04 | simplifying with (1693), (1694) gives:
% 251.40/43.04 | (1780) all_1470_3 = all_1456_1
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1415_4, all_1475_1, all_1060_0,
% 251.40/43.04 | simplifying with (1692), (1697) gives:
% 251.40/43.04 | (1781) all_1475_1 = all_1415_4
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1447_3, all_1521_2, all_1060_0,
% 251.40/43.04 | simplifying with (1689), (1695) gives:
% 251.40/43.04 | (1782) all_1521_2 = all_1447_3
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1475_1, all_1524_2, all_1060_0,
% 251.40/43.04 | simplifying with (1688), (1692) gives:
% 251.40/43.04 | (1783) all_1524_2 = all_1475_1
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1521_2, all_1530_3, all_1060_0,
% 251.40/43.04 | simplifying with (1687), (1689) gives:
% 251.40/43.04 | (1784) all_1530_3 = all_1521_2
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1500_1, all_1530_3, all_1060_0,
% 251.40/43.04 | simplifying with (1687), (1690) gives:
% 251.40/43.04 | (1785) all_1530_3 = all_1500_1
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1268_1, all_1554_0, all_1060_0,
% 251.40/43.04 | simplifying with (1686), (1714) gives:
% 251.40/43.04 | (1786) all_1554_0 = all_1268_1
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1262_2, all_1554_0, all_1060_0,
% 251.40/43.04 | simplifying with (1686), (1716) gives:
% 251.40/43.04 | (1787) all_1554_0 = all_1262_2
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1396_2, all_1563_2, all_1060_0,
% 251.40/43.04 | simplifying with (1685), (1699) gives:
% 251.40/43.04 | (1788) all_1563_2 = all_1396_2
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1521_2, all_1584_2, all_1060_0,
% 251.40/43.04 | simplifying with (1684), (1689) gives:
% 251.40/43.04 | (1789) all_1584_2 = all_1521_2
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1563_2, all_1590_2, all_1060_0,
% 251.40/43.04 | simplifying with (1683), (1685) gives:
% 251.40/43.04 | (1790) all_1590_2 = all_1563_2
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1530_3, all_1608_3, all_1060_0,
% 251.40/43.04 | simplifying with (1682), (1687) gives:
% 251.40/43.04 | (1791) all_1608_3 = all_1530_3
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1608_3, all_1611_3, all_1060_0,
% 251.40/43.04 | simplifying with (1681), (1682) gives:
% 251.40/43.04 | (1792) all_1611_3 = all_1608_3
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1470_3, all_1617_0, all_1060_0,
% 251.40/43.04 | simplifying with (1680), (1693) gives:
% 251.40/43.04 | (1793) all_1617_0 = all_1470_3
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1617_0, all_1629_4, all_1060_0,
% 251.40/43.04 | simplifying with (1679), (1680) gives:
% 251.40/43.04 | (1794) all_1629_4 = all_1617_0
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1629_4, all_1634_3, all_1060_0,
% 251.40/43.04 | simplifying with (1678), (1679) gives:
% 251.40/43.04 | (1795) all_1634_3 = all_1629_4
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1634_3, all_1637_1, all_1060_0,
% 251.40/43.04 | simplifying with (1677), (1678) gives:
% 251.40/43.04 | (1796) all_1637_1 = all_1634_3
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1554_0, all_1658_3, all_1060_0,
% 251.40/43.04 | simplifying with (1675), (1686) gives:
% 251.40/43.04 | (1797) all_1658_3 = all_1554_0
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1264_2, all_1658_3, all_1060_0,
% 251.40/43.04 | simplifying with (1675), (1715) gives:
% 251.40/43.04 | (1798) all_1658_3 = all_1264_2
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1584_2, all_1671_3, all_1060_0,
% 251.40/43.04 | simplifying with (1673), (1684) gives:
% 251.40/43.04 | (1799) all_1671_3 = all_1584_2
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1478_0, all_1671_3, all_1060_0,
% 251.40/43.04 | simplifying with (1673), (1691) gives:
% 251.40/43.04 | (1800) all_1671_3 = all_1478_0
% 251.40/43.04 |
% 251.40/43.04 | GROUND_INST: instantiating (204) with all_1666_2, all_1690_3, all_1060_0,
% 251.40/43.04 | simplifying with (1671), (1674) gives:
% 251.40/43.05 | (1801) all_1690_3 = all_1666_2
% 251.40/43.05 |
% 251.40/43.05 | GROUND_INST: instantiating (204) with all_1210_0, all_1690_3, all_1060_0,
% 251.40/43.05 | simplifying with (1671), (1719) gives:
% 251.40/43.05 | (1802) all_1690_3 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | GROUND_INST: instantiating (204) with all_1611_3, all_1696_3, all_1060_0,
% 251.40/43.05 | simplifying with (1670), (1681) gives:
% 251.40/43.05 | (1803) all_1696_3 = all_1611_3
% 251.40/43.05 |
% 251.40/43.05 | GROUND_INST: instantiating (204) with all_1438_1, all_1696_3, all_1060_0,
% 251.40/43.05 | simplifying with (1670), (1696) gives:
% 251.40/43.05 | (1804) all_1696_3 = all_1438_1
% 251.40/43.05 |
% 251.40/43.05 | GROUND_INST: instantiating (204) with all_1676_1, all_1707_2, all_1060_0,
% 251.40/43.05 | simplifying with (1669), (1672) gives:
% 251.40/43.05 | (1805) all_1707_2 = all_1676_1
% 251.40/43.05 |
% 251.40/43.05 | GROUND_INST: instantiating (204) with all_1524_2, all_1707_2, all_1060_0,
% 251.40/43.05 | simplifying with (1669), (1688) gives:
% 251.40/43.05 | (1806) all_1707_2 = all_1524_2
% 251.40/43.05 |
% 251.40/43.05 | GROUND_INST: instantiating (204) with all_1412_0, all_1707_2, all_1060_0,
% 251.40/43.05 | simplifying with (1669), (1698) gives:
% 251.40/43.05 | (1807) all_1707_2 = all_1412_0
% 251.40/43.05 |
% 251.40/43.05 | GROUND_INST: instantiating (204) with all_1590_2, all_1710_2, all_1060_0,
% 251.40/43.05 | simplifying with (1668), (1683) gives:
% 251.40/43.05 | (1808) all_1710_2 = all_1590_2
% 251.40/43.05 |
% 251.40/43.05 | GROUND_INST: instantiating (204) with all_1666_2, all_1712_3, all_1060_0,
% 251.40/43.05 | simplifying with (1667), (1674) gives:
% 251.40/43.05 | (1809) all_1712_3 = all_1666_2
% 251.40/43.05 |
% 251.40/43.05 | GROUND_INST: instantiating (204) with all_1652_4, all_1712_3, all_1060_0,
% 251.40/43.05 | simplifying with (1667), (1676) gives:
% 251.40/43.05 | (1810) all_1712_3 = all_1652_4
% 251.40/43.05 |
% 251.40/43.05 | GROUND_INST: instantiating (204) with all_1637_1, all_1712_3, all_1060_0,
% 251.40/43.05 | simplifying with (1667), (1677) gives:
% 251.40/43.05 | (1811) all_1712_3 = all_1637_1
% 251.40/43.05 |
% 251.40/43.05 | GROUND_INST: instantiating (204) with all_1710_2, all_1714_2, all_1060_0,
% 251.40/43.05 | simplifying with (1666), (1668) gives:
% 251.40/43.05 | (1812) all_1714_2 = all_1710_2
% 251.40/43.05 |
% 251.40/43.05 | GROUND_INST: instantiating (204) with all_1714_2, all_1726_19, all_1060_0,
% 251.40/43.05 | simplifying with (1665), (1666) gives:
% 251.40/43.05 | (1813) all_1726_19 = all_1714_2
% 251.40/43.05 |
% 251.40/43.05 | GROUND_INST: instantiating (204) with all_1290_3, all_1726_19, all_1060_0,
% 251.40/43.05 | simplifying with (1665), (1711) gives:
% 251.40/43.05 | (1814) all_1726_19 = all_1290_3
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1813), (1814) imply:
% 251.40/43.05 | (1815) all_1714_2 = all_1290_3
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1815) implies:
% 251.40/43.05 | (1816) all_1714_2 = all_1290_3
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1812), (1816) imply:
% 251.40/43.05 | (1817) all_1710_2 = all_1290_3
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1817) implies:
% 251.40/43.05 | (1818) all_1710_2 = all_1290_3
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1754), (1755) imply:
% 251.40/43.05 | (1819) all_1712_11 = all_1498_4
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1819) implies:
% 251.40/43.05 | (1820) all_1712_11 = all_1498_4
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1809), (1810) imply:
% 251.40/43.05 | (1821) all_1666_2 = all_1652_4
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1821) implies:
% 251.40/43.05 | (1822) all_1666_2 = all_1652_4
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1810), (1811) imply:
% 251.40/43.05 | (1823) all_1652_4 = all_1637_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1753), (1820) imply:
% 251.40/43.05 | (1824) all_1710_8 = all_1498_4
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1824) implies:
% 251.40/43.05 | (1825) all_1710_8 = all_1498_4
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1808), (1818) imply:
% 251.40/43.05 | (1826) all_1590_2 = all_1290_3
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1826) implies:
% 251.40/43.05 | (1827) all_1590_2 = all_1290_3
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1752), (1825) imply:
% 251.40/43.05 | (1828) all_1707_8 = all_1498_4
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1828) implies:
% 251.40/43.05 | (1829) all_1707_8 = all_1498_4
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1805), (1807) imply:
% 251.40/43.05 | (1830) all_1676_1 = all_1412_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1805), (1806) imply:
% 251.40/43.05 | (1831) all_1676_1 = all_1524_2
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1751), (1829) imply:
% 251.40/43.05 | (1832) all_1696_11 = all_1498_4
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1832) implies:
% 251.40/43.05 | (1833) all_1696_11 = all_1498_4
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1803), (1804) imply:
% 251.40/43.05 | (1834) all_1611_3 = all_1438_1
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1834) implies:
% 251.40/43.05 | (1835) all_1611_3 = all_1438_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1750), (1833) imply:
% 251.40/43.05 | (1836) all_1666_8 = all_1498_4
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1836) implies:
% 251.40/43.05 | (1837) all_1666_8 = all_1498_4
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1801), (1802) imply:
% 251.40/43.05 | (1838) all_1666_2 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1838) implies:
% 251.40/43.05 | (1839) all_1666_2 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1830), (1831) imply:
% 251.40/43.05 | (1840) all_1524_2 = all_1412_0
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1840) implies:
% 251.40/43.05 | (1841) all_1524_2 = all_1412_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1799), (1800) imply:
% 251.40/43.05 | (1842) all_1584_2 = all_1478_0
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1842) implies:
% 251.40/43.05 | (1843) all_1584_2 = all_1478_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1822), (1839) imply:
% 251.40/43.05 | (1844) all_1652_4 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1844) implies:
% 251.40/43.05 | (1845) all_1652_4 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1797), (1798) imply:
% 251.40/43.05 | (1846) all_1554_0 = all_1264_2
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1846) implies:
% 251.40/43.05 | (1847) all_1554_0 = all_1264_2
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1823), (1845) imply:
% 251.40/43.05 | (1848) all_1637_1 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1848) implies:
% 251.40/43.05 | (1849) all_1637_1 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1796), (1849) imply:
% 251.40/43.05 | (1850) all_1634_3 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1850) implies:
% 251.40/43.05 | (1851) all_1634_3 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1795), (1851) imply:
% 251.40/43.05 | (1852) all_1629_4 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1852) implies:
% 251.40/43.05 | (1853) all_1629_4 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1794), (1853) imply:
% 251.40/43.05 | (1854) all_1617_0 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1854) implies:
% 251.40/43.05 | (1855) all_1617_0 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1793), (1855) imply:
% 251.40/43.05 | (1856) all_1470_3 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1856) implies:
% 251.40/43.05 | (1857) all_1470_3 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1792), (1835) imply:
% 251.40/43.05 | (1858) all_1608_3 = all_1438_1
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1858) implies:
% 251.40/43.05 | (1859) all_1608_3 = all_1438_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1791), (1859) imply:
% 251.40/43.05 | (1860) all_1530_3 = all_1438_1
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1860) implies:
% 251.40/43.05 | (1861) all_1530_3 = all_1438_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1790), (1827) imply:
% 251.40/43.05 | (1862) all_1563_2 = all_1290_3
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1862) implies:
% 251.40/43.05 | (1863) all_1563_2 = all_1290_3
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1789), (1843) imply:
% 251.40/43.05 | (1864) all_1521_2 = all_1478_0
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1864) implies:
% 251.40/43.05 | (1865) all_1521_2 = all_1478_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1788), (1863) imply:
% 251.40/43.05 | (1866) all_1396_2 = all_1290_3
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1866) implies:
% 251.40/43.05 | (1867) all_1396_2 = all_1290_3
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1787), (1847) imply:
% 251.40/43.05 | (1868) all_1264_2 = all_1262_2
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1786), (1847) imply:
% 251.40/43.05 | (1869) all_1268_1 = all_1264_2
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1869) implies:
% 251.40/43.05 | (1870) all_1268_1 = all_1264_2
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1784), (1785) imply:
% 251.40/43.05 | (1871) all_1521_2 = all_1500_1
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1871) implies:
% 251.40/43.05 | (1872) all_1521_2 = all_1500_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1785), (1861) imply:
% 251.40/43.05 | (1873) all_1500_1 = all_1438_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1783), (1841) imply:
% 251.40/43.05 | (1874) all_1475_1 = all_1412_0
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1874) implies:
% 251.40/43.05 | (1875) all_1475_1 = all_1412_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1782), (1865) imply:
% 251.40/43.05 | (1876) all_1478_0 = all_1447_3
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1865), (1872) imply:
% 251.40/43.05 | (1877) all_1500_1 = all_1478_0
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1877) implies:
% 251.40/43.05 | (1878) all_1500_1 = all_1478_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1873), (1878) imply:
% 251.40/43.05 | (1879) all_1478_0 = all_1438_1
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1879) implies:
% 251.40/43.05 | (1880) all_1478_0 = all_1438_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1876), (1880) imply:
% 251.40/43.05 | (1881) all_1447_3 = all_1438_1
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1881) implies:
% 251.40/43.05 | (1882) all_1447_3 = all_1438_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1781), (1875) imply:
% 251.40/43.05 | (1883) all_1415_4 = all_1412_0
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1883) implies:
% 251.40/43.05 | (1884) all_1415_4 = all_1412_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1780), (1857) imply:
% 251.40/43.05 | (1885) all_1456_1 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1885) implies:
% 251.40/43.05 | (1886) all_1456_1 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1779), (1886) imply:
% 251.40/43.05 | (1887) all_1415_4 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1887) implies:
% 251.40/43.05 | (1888) all_1415_4 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1778), (1882) imply:
% 251.40/43.05 | (1889) all_1438_1 = all_1311_3
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1777), (1882) imply:
% 251.40/43.05 | (1890) all_1438_1 = all_1322_2
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1776), (1882) imply:
% 251.40/43.05 | (1891) all_1438_1 = all_1364_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1775), (1882) imply:
% 251.40/43.05 | (1892) all_1438_1 = all_1393_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1889), (1892) imply:
% 251.40/43.05 | (1893) all_1393_0 = all_1311_3
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1891), (1892) imply:
% 251.40/43.05 | (1894) all_1393_0 = all_1364_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1890), (1892) imply:
% 251.40/43.05 | (1895) all_1393_0 = all_1322_2
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1774), (1884) imply:
% 251.40/43.05 | (1896) all_1412_0 = all_1379_4
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1884), (1888) imply:
% 251.40/43.05 | (1897) all_1412_0 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1896), (1897) imply:
% 251.40/43.05 | (1898) all_1379_4 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1898) implies:
% 251.40/43.05 | (1899) all_1379_4 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1773), (1867) imply:
% 251.40/43.05 | (1900) all_1390_3 = all_1290_3
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1900) implies:
% 251.40/43.05 | (1901) all_1390_3 = all_1290_3
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1894), (1895) imply:
% 251.40/43.05 | (1902) all_1364_1 = all_1322_2
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1902) implies:
% 251.40/43.05 | (1903) all_1364_1 = all_1322_2
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1893), (1895) imply:
% 251.40/43.05 | (1904) all_1322_2 = all_1311_3
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1771), (1901) imply:
% 251.40/43.05 | (1905) all_1298_3 = all_1290_3
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1905) implies:
% 251.40/43.05 | (1906) all_1298_3 = all_1290_3
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1772), (1901) imply:
% 251.40/43.05 | (1907) all_1290_3 = all_1285_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1769), (1770) imply:
% 251.40/43.05 | (1908) all_1221_1 = all_1194_1
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1908) implies:
% 251.40/43.05 | (1909) all_1221_1 = all_1194_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1768), (1899) imply:
% 251.40/43.05 | (1910) all_1376_0 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1910) implies:
% 251.40/43.05 | (1911) all_1376_0 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1767), (1911) imply:
% 251.40/43.05 | (1912) all_1364_1 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1912) implies:
% 251.40/43.05 | (1913) all_1364_1 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1903), (1913) imply:
% 251.40/43.05 | (1914) all_1322_2 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1914) implies:
% 251.40/43.05 | (1915) all_1322_2 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1765), (1766) imply:
% 251.40/43.05 | (1916) all_1306_2 = all_1298_3
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1764), (1765) imply:
% 251.40/43.05 | (1917) all_1311_3 = all_1306_2
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1917) implies:
% 251.40/43.05 | (1918) all_1311_3 = all_1306_2
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1904), (1915) imply:
% 251.40/43.05 | (1919) all_1311_3 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1919) implies:
% 251.40/43.05 | (1920) all_1311_3 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1918), (1920) imply:
% 251.40/43.05 | (1921) all_1306_2 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1921) implies:
% 251.40/43.05 | (1922) all_1306_2 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1916), (1922) imply:
% 251.40/43.05 | (1923) all_1298_3 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1923) implies:
% 251.40/43.05 | (1924) all_1298_3 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1906), (1924) imply:
% 251.40/43.05 | (1925) all_1290_3 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1925) implies:
% 251.40/43.05 | (1926) all_1290_3 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1907), (1926) imply:
% 251.40/43.05 | (1927) all_1285_0 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1927) implies:
% 251.40/43.05 | (1928) all_1285_0 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1763), (1928) imply:
% 251.40/43.05 | (1929) all_1283_2 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1929) implies:
% 251.40/43.05 | (1930) all_1283_2 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1762), (1930) imply:
% 251.40/43.05 | (1931) all_1268_1 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1931) implies:
% 251.40/43.05 | (1932) all_1268_1 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1870), (1932) imply:
% 251.40/43.05 | (1933) all_1264_2 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1933) implies:
% 251.40/43.05 | (1934) all_1264_2 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1868), (1934) imply:
% 251.40/43.05 | (1935) all_1262_2 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1935) implies:
% 251.40/43.05 | (1936) all_1262_2 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1761), (1936) imply:
% 251.40/43.05 | (1937) all_1248_2 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1937) implies:
% 251.40/43.05 | (1938) all_1248_2 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1760), (1938) imply:
% 251.40/43.05 | (1939) all_1221_1 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1939) implies:
% 251.40/43.05 | (1940) all_1221_1 = all_1210_0
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1758), (1940) imply:
% 251.40/43.05 | (1941) all_1210_0 = all_1202_2
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1909), (1940) imply:
% 251.40/43.05 | (1942) all_1210_0 = all_1194_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1759), (1940) imply:
% 251.40/43.05 | (1943) all_1210_0 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1941), (1942) imply:
% 251.40/43.05 | (1944) all_1202_2 = all_1194_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1941), (1943) imply:
% 251.40/43.05 | (1945) all_1202_2 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1944), (1945) imply:
% 251.40/43.05 | (1946) all_1194_1 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | SIMP: (1946) implies:
% 251.40/43.05 | (1947) all_1194_1 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1936), (1943) imply:
% 251.40/43.05 | (1948) all_1262_2 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1934), (1943) imply:
% 251.40/43.05 | (1949) all_1264_2 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1932), (1943) imply:
% 251.40/43.05 | (1950) all_1268_1 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1930), (1943) imply:
% 251.40/43.05 | (1951) all_1283_2 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1926), (1943) imply:
% 251.40/43.05 | (1952) all_1290_3 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1924), (1943) imply:
% 251.40/43.05 | (1953) all_1298_3 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1922), (1943) imply:
% 251.40/43.05 | (1954) all_1306_2 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1915), (1943) imply:
% 251.40/43.05 | (1955) all_1322_2 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1899), (1943) imply:
% 251.40/43.05 | (1956) all_1379_4 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1770), (1947) imply:
% 251.40/43.05 | (1957) all_1381_2 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1901), (1952) imply:
% 251.40/43.05 | (1958) all_1390_3 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1895), (1955) imply:
% 251.40/43.05 | (1959) all_1393_0 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1897), (1943) imply:
% 251.40/43.05 | (1960) all_1412_0 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1892), (1959) imply:
% 251.40/43.05 | (1961) all_1438_1 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1886), (1943) imply:
% 251.40/43.05 | (1962) all_1456_1 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1857), (1943) imply:
% 251.40/43.05 | (1963) all_1470_3 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1875), (1960) imply:
% 251.40/43.05 | (1964) all_1475_1 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1880), (1961) imply:
% 251.40/43.05 | (1965) all_1478_0 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1873), (1961) imply:
% 251.40/43.05 | (1966) all_1500_1 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1865), (1965) imply:
% 251.40/43.05 | (1967) all_1521_2 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1841), (1960) imply:
% 251.40/43.05 | (1968) all_1524_2 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1785), (1966) imply:
% 251.40/43.05 | (1969) all_1530_3 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1863), (1952) imply:
% 251.40/43.05 | (1970) all_1563_2 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1843), (1965) imply:
% 251.40/43.05 | (1971) all_1584_2 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1827), (1952) imply:
% 251.40/43.05 | (1972) all_1590_2 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1859), (1961) imply:
% 251.40/43.05 | (1973) all_1608_3 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1835), (1961) imply:
% 251.40/43.05 | (1974) all_1611_3 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1853), (1943) imply:
% 251.40/43.05 | (1975) all_1629_4 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1851), (1943) imply:
% 251.40/43.05 | (1976) all_1634_3 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1849), (1943) imply:
% 251.40/43.05 | (1977) all_1637_1 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1845), (1943) imply:
% 251.40/43.05 | (1978) all_1652_4 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1798), (1949) imply:
% 251.40/43.05 | (1979) all_1658_3 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1839), (1943) imply:
% 251.40/43.05 | (1980) all_1666_2 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1800), (1965) imply:
% 251.40/43.05 | (1981) all_1671_3 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1830), (1960) imply:
% 251.40/43.05 | (1982) all_1676_1 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1802), (1943) imply:
% 251.40/43.05 | (1983) all_1690_3 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1804), (1961) imply:
% 251.40/43.05 | (1984) all_1696_3 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1805), (1982) imply:
% 251.40/43.05 | (1985) all_1707_2 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1818), (1952) imply:
% 251.40/43.05 | (1986) all_1710_2 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1810), (1978) imply:
% 251.40/43.05 | (1987) all_1712_3 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | COMBINE_EQS: (1816), (1952) imply:
% 251.40/43.05 | (1988) all_1714_2 = all_1175_1
% 251.40/43.05 |
% 251.40/43.05 | REDUCE: (597), (1967) imply:
% 251.40/43.05 | (1989) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_1175_1) =
% 251.40/43.05 | all_1521_1
% 251.40/43.05 |
% 251.40/43.05 | REDUCE: (326), (1947) imply:
% 251.40/43.05 | (1990) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_1175_1) =
% 251.40/43.05 | all_1194_0
% 251.40/43.05 |
% 251.40/43.05 | REDUCE: (836), (1988) imply:
% 251.40/43.05 | (1991) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.05 | all_1714_1
% 251.40/43.05 |
% 251.40/43.05 | REDUCE: (823), (1987) imply:
% 251.40/43.05 | (1992) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.05 | all_1712_2
% 251.40/43.05 |
% 251.40/43.05 | REDUCE: (800), (1986) imply:
% 251.40/43.05 | (1993) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.05 | all_1710_1
% 251.40/43.05 |
% 251.40/43.05 | REDUCE: (788), (1985) imply:
% 251.40/43.05 | (1994) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.05 | all_1707_1
% 251.40/43.05 |
% 251.40/43.05 | REDUCE: (769), (1984) imply:
% 251.40/43.05 | (1995) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.05 | all_1696_2
% 251.40/43.05 |
% 251.40/43.05 | REDUCE: (753), (1983) imply:
% 251.40/43.05 | (1996) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.05 | all_1690_2
% 251.40/43.05 |
% 251.40/43.05 | REDUCE: (740), (1982) imply:
% 251.40/43.05 | (1997) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.05 | all_1676_0
% 251.40/43.05 |
% 251.40/43.05 | REDUCE: (733), (1981) imply:
% 251.40/43.05 | (1998) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.05 | all_1671_2
% 251.40/43.05 |
% 251.40/43.05 | REDUCE: (725), (1980) imply:
% 251.40/43.05 | (1999) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.05 | all_1666_1
% 251.40/43.05 |
% 251.40/43.05 | REDUCE: (706), (1979) imply:
% 251.40/43.05 | (2000) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.05 | all_1658_2
% 251.40/43.05 |
% 251.40/43.05 | REDUCE: (698), (1977) imply:
% 251.40/43.05 | (2001) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.05 | all_1637_0
% 251.40/43.05 |
% 251.40/43.05 | REDUCE: (693), (1976) imply:
% 251.40/43.05 | (2002) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.05 | all_1634_2
% 251.40/43.05 |
% 251.40/43.05 | REDUCE: (685), (1975) imply:
% 251.40/43.05 | (2003) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.05 | all_1629_3
% 251.40/43.05 |
% 251.40/43.05 | REDUCE: (674), (1974) imply:
% 251.40/43.05 | (2004) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.05 | all_1611_2
% 251.40/43.05 |
% 251.40/43.05 | REDUCE: (669), (1973) imply:
% 251.40/43.05 | (2005) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.05 | all_1608_2
% 251.40/43.05 |
% 251.40/43.05 | REDUCE: (656), (1972) imply:
% 251.40/43.05 | (2006) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.05 | all_1590_1
% 251.40/43.05 |
% 251.40/43.05 | REDUCE: (648), (1971) imply:
% 251.40/43.05 | (2007) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.05 | all_1584_1
% 251.40/43.05 |
% 251.40/43.05 | REDUCE: (633), (1970) imply:
% 251.40/43.05 | (2008) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.05 | all_1563_1
% 251.40/43.05 |
% 251.40/43.05 | REDUCE: (611), (1969) imply:
% 251.40/43.05 | (2009) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.05 | all_1530_2
% 251.40/43.05 |
% 251.40/43.05 | REDUCE: (604), (1968) imply:
% 251.40/43.05 | (2010) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.05 | all_1524_1
% 251.40/43.05 |
% 251.40/43.05 | REDUCE: (582), (1966) imply:
% 251.40/43.05 | (2011) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.05 | all_1500_0
% 251.40/43.05 |
% 251.40/43.05 | REDUCE: (557), (1964) imply:
% 251.40/43.05 | (2012) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.05 | all_1475_0
% 251.40/43.05 |
% 251.40/43.05 | REDUCE: (551), (1963) imply:
% 251.40/43.05 | (2013) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.05 | all_1470_2
% 251.40/43.05 |
% 251.40/43.05 | REDUCE: (534), (1962) imply:
% 251.40/43.05 | (2014) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.05 | all_1456_0
% 251.40/43.05 |
% 251.40/43.05 | REDUCE: (517), (1961) imply:
% 251.40/43.05 | (2015) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.05 | all_1438_0
% 251.40/43.05 |
% 251.40/43.05 | REDUCE: (481), (1958) imply:
% 251.40/43.06 | (2016) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.06 | all_1390_2
% 251.40/43.06 |
% 251.40/43.06 | REDUCE: (476), (1957) imply:
% 251.40/43.06 | (2017) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.06 | all_1381_1
% 251.40/43.06 |
% 251.40/43.06 | REDUCE: (472), (1956) imply:
% 251.40/43.06 | (2018) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.06 | all_1379_3
% 251.40/43.06 |
% 251.40/43.06 | REDUCE: (437), (1955) imply:
% 251.40/43.06 | (2019) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.06 | all_1322_1
% 251.40/43.06 |
% 251.40/43.06 | REDUCE: (422), (1954) imply:
% 251.40/43.06 | (2020) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.06 | all_1306_1
% 251.40/43.06 |
% 251.40/43.06 | REDUCE: (412), (1953) imply:
% 251.40/43.06 | (2021) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.06 | all_1298_2
% 251.40/43.06 |
% 251.40/43.06 | REDUCE: (406), (1952) imply:
% 251.40/43.06 | (2022) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.06 | all_1290_2
% 251.40/43.06 |
% 251.40/43.06 | REDUCE: (396), (1951) imply:
% 251.40/43.06 | (2023) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.06 | all_1283_1
% 251.40/43.06 |
% 251.40/43.06 | REDUCE: (387), (1950) imply:
% 251.40/43.06 | (2024) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.06 | all_1268_0
% 251.40/43.06 |
% 251.40/43.06 | REDUCE: (378), (1949) imply:
% 251.40/43.06 | (2025) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.06 | all_1264_1
% 251.40/43.06 |
% 251.40/43.06 | REDUCE: (373), (1948) imply:
% 251.40/43.06 | (2026) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.06 | all_1262_1
% 251.40/43.06 |
% 251.40/43.06 | REDUCE: (334), (1945) imply:
% 251.40/43.06 | (2027) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) =
% 251.40/43.06 | all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | REDUCE: (817), (1749), (1820) imply:
% 251.40/43.06 | (2028) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1696_12,
% 251.40/43.06 | all_1498_4) = all_1712_10
% 251.40/43.06 |
% 251.40/43.06 | REDUCE: (764), (1833) imply:
% 251.40/43.06 | (2029) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1696_12,
% 251.40/43.06 | all_1498_4) = all_1696_10
% 251.40/43.06 |
% 251.40/43.06 | REDUCE: (829), (1755) imply:
% 251.40/43.06 | (2030) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1498_4) =
% 251.40/43.06 | all_1714_7
% 251.40/43.06 |
% 251.40/43.06 | REDUCE: (813), (1820) imply:
% 251.40/43.06 | (2031) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1498_4) =
% 251.40/43.06 | all_1712_8
% 251.40/43.06 |
% 251.40/43.06 | REDUCE: (793), (1825) imply:
% 251.40/43.06 | (2032) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1498_4) =
% 251.40/43.06 | all_1710_7
% 251.40/43.06 |
% 251.40/43.06 | REDUCE: (781), (1829) imply:
% 251.40/43.06 | (2033) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1498_4) =
% 251.40/43.06 | all_1707_7
% 251.40/43.06 |
% 251.40/43.06 | REDUCE: (761), (1833) imply:
% 251.40/43.06 | (2034) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1498_4) =
% 251.40/43.06 | all_1696_8
% 251.40/43.06 |
% 251.40/43.06 | REDUCE: (718), (1837) imply:
% 251.40/43.06 | (2035) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1498_4) =
% 251.40/43.06 | all_1666_7
% 251.40/43.06 |
% 251.40/43.06 | REDUCE: (810), (1757) imply:
% 251.40/43.06 | (2036) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1073_0, v_d____)
% 251.40/43.06 | = all_1712_14
% 251.40/43.06 |
% 251.40/43.06 | REDUCE: (1733), (1757) imply:
% 251.40/43.06 | (2037) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_975_0,
% 251.40/43.06 | all_1073_0) = all_1712_15
% 251.40/43.06 |
% 251.40/43.06 | REDUCE: (805), (1749) imply:
% 251.40/43.06 | (2038) $i(all_1696_12)
% 251.40/43.06 |
% 251.40/43.06 | REDUCE: (715), (1837) imply:
% 251.40/43.06 | (2039) $i(all_1498_4)
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (217) with 0, all_1712_14, v_d____, all_1073_0,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (272), (2036) gives:
% 251.40/43.06 | (2040) all_1712_14 = 0
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (212) with all_1498_3, all_1710_7, all_1498_4,
% 251.40/43.06 | tc_Complex_Ocomplex, simplifying with (575), (2032) gives:
% 251.40/43.06 | (2041) all_1710_7 = all_1498_3
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (212) with all_1696_8, all_1710_7, all_1498_4,
% 251.40/43.06 | tc_Complex_Ocomplex, simplifying with (2032), (2034) gives:
% 251.40/43.06 | (2042) all_1710_7 = all_1696_8
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (212) with all_1666_7, all_1712_8, all_1498_4,
% 251.40/43.06 | tc_Complex_Ocomplex, simplifying with (2031), (2035) gives:
% 251.40/43.06 | (2043) all_1712_8 = all_1666_7
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (212) with all_1712_8, all_1714_7, all_1498_4,
% 251.40/43.06 | tc_Complex_Ocomplex, simplifying with (2030), (2031) gives:
% 251.40/43.06 | (2044) all_1714_7 = all_1712_8
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (212) with all_1707_7, all_1714_7, all_1498_4,
% 251.40/43.06 | tc_Complex_Ocomplex, simplifying with (2030), (2033) gives:
% 251.40/43.06 | (2045) all_1714_7 = all_1707_7
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (212) with all_1696_8, all_1714_7, all_1498_4,
% 251.40/43.06 | tc_Complex_Ocomplex, simplifying with (2030), (2034) gives:
% 251.40/43.06 | (2046) all_1714_7 = all_1696_8
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (218) with all_1696_10, all_1712_10, all_1498_4,
% 251.40/43.06 | all_1696_12, tc_Complex_Ocomplex, simplifying with (2028), (2029)
% 251.40/43.06 | gives:
% 251.40/43.06 | (2047) all_1712_10 = all_1696_10
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1175_0, all_1262_1, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (315), (2026) gives:
% 251.40/43.06 | (2048) all_1262_1 = all_1175_0
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1268_0, all_1283_1, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (2023), (2024) gives:
% 251.40/43.06 | (2049) all_1283_1 = all_1268_0
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1268_0, all_1298_2, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (2021), (2024) gives:
% 251.40/43.06 | (2050) all_1298_2 = all_1268_0
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1262_1, all_1298_2, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (2021), (2026) gives:
% 251.40/43.06 | (2051) all_1298_2 = all_1262_1
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1322_1, all_1379_3, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (2018), (2019) gives:
% 251.40/43.06 | (2052) all_1379_3 = all_1322_1
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1298_2, all_1379_3, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (2018), (2021) gives:
% 251.40/43.06 | (2053) all_1379_3 = all_1298_2
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1264_1, all_1379_3, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (2018), (2025) gives:
% 251.40/43.06 | (2054) all_1379_3 = all_1264_1
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1290_2, all_1475_0, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (2012), (2022) gives:
% 251.40/43.06 | (2055) all_1475_0 = all_1290_2
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1283_1, all_1475_0, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (2012), (2023) gives:
% 251.40/43.06 | (2056) all_1475_0 = all_1283_1
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1500_0, all_1524_1, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (2010), (2011) gives:
% 251.40/43.06 | (2057) all_1524_1 = all_1500_0
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1438_0, all_1524_1, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (2010), (2015) gives:
% 251.40/43.06 | (2058) all_1524_1 = all_1438_0
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1475_0, all_1563_1, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (2008), (2012) gives:
% 251.40/43.06 | (2059) all_1563_1 = all_1475_0
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1530_2, all_1584_1, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (2007), (2009) gives:
% 251.40/43.06 | (2060) all_1584_1 = all_1530_2
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1524_1, all_1584_1, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (2007), (2010) gives:
% 251.40/43.06 | (2061) all_1584_1 = all_1524_1
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1470_2, all_1584_1, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (2007), (2013) gives:
% 251.40/43.06 | (2062) all_1584_1 = all_1470_2
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1500_0, all_1590_1, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (2006), (2011) gives:
% 251.40/43.06 | (2063) all_1590_1 = all_1500_0
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1590_1, all_1611_2, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (2004), (2006) gives:
% 251.40/43.06 | (2064) all_1611_2 = all_1590_1
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1530_2, all_1629_3, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (2003), (2009) gives:
% 251.40/43.06 | (2065) all_1629_3 = all_1530_2
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1629_3, all_1634_2, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (2002), (2003) gives:
% 251.40/43.06 | (2066) all_1634_2 = all_1629_3
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1611_2, all_1637_0, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (2001), (2004) gives:
% 251.40/43.06 | (2067) all_1637_0 = all_1611_2
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1390_2, all_1637_0, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (2001), (2016) gives:
% 251.40/43.06 | (2068) all_1637_0 = all_1390_2
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1634_2, all_1658_2, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (2000), (2002) gives:
% 251.40/43.06 | (2069) all_1658_2 = all_1634_2
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1456_0, all_1666_1, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (1999), (2014) gives:
% 251.40/43.06 | (2070) all_1666_1 = all_1456_0
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1563_1, all_1671_2, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (1998), (2008) gives:
% 251.40/43.06 | (2071) all_1671_2 = all_1563_1
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1306_1, all_1671_2, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (1998), (2020) gives:
% 251.40/43.06 | (2072) all_1671_2 = all_1306_1
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1563_1, all_1676_0, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (1997), (2008) gives:
% 251.40/43.06 | (2073) all_1676_0 = all_1563_1
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1500_0, all_1676_0, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (1997), (2011) gives:
% 251.40/43.06 | (2074) all_1676_0 = all_1500_0
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1381_1, all_1676_0, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (1997), (2017) gives:
% 251.40/43.06 | (2075) all_1676_0 = all_1381_1
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1658_2, all_1690_2, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (1996), (2000) gives:
% 251.40/43.06 | (2076) all_1690_2 = all_1658_2
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1690_2, all_1696_2, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (1995), (1996) gives:
% 251.40/43.06 | (2077) all_1696_2 = all_1690_2
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1666_1, all_1707_1, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (1994), (1999) gives:
% 251.40/43.06 | (2078) all_1707_1 = all_1666_1
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1608_2, all_1707_1, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (1994), (2005) gives:
% 251.40/43.06 | (2079) all_1707_1 = all_1608_2
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1475_0, all_1707_1, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (1994), (2012) gives:
% 251.40/43.06 | (2080) all_1707_1 = all_1475_0
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1696_2, all_1710_1, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (1993), (1995) gives:
% 251.40/43.06 | (2081) all_1710_1 = all_1696_2
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1710_1, all_1712_2, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (1992), (1993) gives:
% 251.40/43.06 | (2082) all_1712_2 = all_1710_1
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1712_2, all_1714_1, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (1991), (1992) gives:
% 251.40/43.06 | (2083) all_1714_1 = all_1712_2
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1202_1, all_1714_1, all_1175_1,
% 251.40/43.06 | tc_RealDef_Oreal, simplifying with (1991), (2027) gives:
% 251.40/43.06 | (2084) all_1714_1 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | GROUND_INST: instantiating (216) with all_1194_0, all_1521_1, all_1175_1,
% 251.40/43.06 | tc_Int_Oint, simplifying with (1989), (1990) gives:
% 251.40/43.06 | (2085) all_1521_1 = all_1194_0
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2083), (2084) imply:
% 251.40/43.06 | (2086) all_1712_2 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2086) implies:
% 251.40/43.06 | (2087) all_1712_2 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2044), (2045) imply:
% 251.40/43.06 | (2088) all_1712_8 = all_1707_7
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2088) implies:
% 251.40/43.06 | (2089) all_1712_8 = all_1707_7
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2045), (2046) imply:
% 251.40/43.06 | (2090) all_1707_7 = all_1696_8
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2082), (2087) imply:
% 251.40/43.06 | (2091) all_1710_1 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2091) implies:
% 251.40/43.06 | (2092) all_1710_1 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2043), (2089) imply:
% 251.40/43.06 | (2093) all_1707_7 = all_1666_7
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2093) implies:
% 251.40/43.06 | (2094) all_1707_7 = all_1666_7
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2081), (2092) imply:
% 251.40/43.06 | (2095) all_1696_2 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2095) implies:
% 251.40/43.06 | (2096) all_1696_2 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2041), (2042) imply:
% 251.40/43.06 | (2097) all_1696_8 = all_1498_3
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2097) implies:
% 251.40/43.06 | (2098) all_1696_8 = all_1498_3
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2078), (2079) imply:
% 251.40/43.06 | (2099) all_1666_1 = all_1608_2
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2099) implies:
% 251.40/43.06 | (2100) all_1666_1 = all_1608_2
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2079), (2080) imply:
% 251.40/43.06 | (2101) all_1608_2 = all_1475_0
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2090), (2094) imply:
% 251.40/43.06 | (2102) all_1696_8 = all_1666_7
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2102) implies:
% 251.40/43.06 | (2103) all_1696_8 = all_1666_7
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2077), (2096) imply:
% 251.40/43.06 | (2104) all_1690_2 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2104) implies:
% 251.40/43.06 | (2105) all_1690_2 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2098), (2103) imply:
% 251.40/43.06 | (2106) all_1666_7 = all_1498_3
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2076), (2105) imply:
% 251.40/43.06 | (2107) all_1658_2 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2107) implies:
% 251.40/43.06 | (2108) all_1658_2 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2074), (2075) imply:
% 251.40/43.06 | (2109) all_1500_0 = all_1381_1
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2109) implies:
% 251.40/43.06 | (2110) all_1500_0 = all_1381_1
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2073), (2075) imply:
% 251.40/43.06 | (2111) all_1563_1 = all_1381_1
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2111) implies:
% 251.40/43.06 | (2112) all_1563_1 = all_1381_1
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2071), (2072) imply:
% 251.40/43.06 | (2113) all_1563_1 = all_1306_1
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2113) implies:
% 251.40/43.06 | (2114) all_1563_1 = all_1306_1
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2070), (2100) imply:
% 251.40/43.06 | (2115) all_1608_2 = all_1456_0
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2115) implies:
% 251.40/43.06 | (2116) all_1608_2 = all_1456_0
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2069), (2108) imply:
% 251.40/43.06 | (2117) all_1634_2 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2117) implies:
% 251.40/43.06 | (2118) all_1634_2 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2067), (2068) imply:
% 251.40/43.06 | (2119) all_1611_2 = all_1390_2
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2119) implies:
% 251.40/43.06 | (2120) all_1611_2 = all_1390_2
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2066), (2118) imply:
% 251.40/43.06 | (2121) all_1629_3 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2121) implies:
% 251.40/43.06 | (2122) all_1629_3 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2065), (2122) imply:
% 251.40/43.06 | (2123) all_1530_2 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2123) implies:
% 251.40/43.06 | (2124) all_1530_2 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2064), (2120) imply:
% 251.40/43.06 | (2125) all_1590_1 = all_1390_2
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2125) implies:
% 251.40/43.06 | (2126) all_1590_1 = all_1390_2
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2101), (2116) imply:
% 251.40/43.06 | (2127) all_1475_0 = all_1456_0
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2127) implies:
% 251.40/43.06 | (2128) all_1475_0 = all_1456_0
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2063), (2126) imply:
% 251.40/43.06 | (2129) all_1500_0 = all_1390_2
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2129) implies:
% 251.40/43.06 | (2130) all_1500_0 = all_1390_2
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2060), (2062) imply:
% 251.40/43.06 | (2131) all_1530_2 = all_1470_2
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2131) implies:
% 251.40/43.06 | (2132) all_1530_2 = all_1470_2
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2061), (2062) imply:
% 251.40/43.06 | (2133) all_1524_1 = all_1470_2
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2133) implies:
% 251.40/43.06 | (2134) all_1524_1 = all_1470_2
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2112), (2114) imply:
% 251.40/43.06 | (2135) all_1381_1 = all_1306_1
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2135) implies:
% 251.40/43.06 | (2136) all_1381_1 = all_1306_1
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2059), (2114) imply:
% 251.40/43.06 | (2137) all_1475_0 = all_1306_1
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2137) implies:
% 251.40/43.06 | (2138) all_1475_0 = all_1306_1
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2124), (2132) imply:
% 251.40/43.06 | (2139) all_1470_2 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2139) implies:
% 251.40/43.06 | (2140) all_1470_2 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2057), (2058) imply:
% 251.40/43.06 | (2141) all_1500_0 = all_1438_0
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2141) implies:
% 251.40/43.06 | (2142) all_1500_0 = all_1438_0
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2058), (2134) imply:
% 251.40/43.06 | (2143) all_1470_2 = all_1438_0
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2143) implies:
% 251.40/43.06 | (2144) all_1470_2 = all_1438_0
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2110), (2130) imply:
% 251.40/43.06 | (2145) all_1390_2 = all_1381_1
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2130), (2142) imply:
% 251.40/43.06 | (2146) all_1438_0 = all_1390_2
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2146) implies:
% 251.40/43.06 | (2147) all_1438_0 = all_1390_2
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2055), (2128) imply:
% 251.40/43.06 | (2148) all_1456_0 = all_1290_2
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2056), (2128) imply:
% 251.40/43.06 | (2149) all_1456_0 = all_1283_1
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2128), (2138) imply:
% 251.40/43.06 | (2150) all_1456_0 = all_1306_1
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2140), (2144) imply:
% 251.40/43.06 | (2151) all_1438_0 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2151) implies:
% 251.40/43.06 | (2152) all_1438_0 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2148), (2149) imply:
% 251.40/43.06 | (2153) all_1290_2 = all_1283_1
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2148), (2150) imply:
% 251.40/43.06 | (2154) all_1306_1 = all_1290_2
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2154) implies:
% 251.40/43.06 | (2155) all_1306_1 = all_1290_2
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2147), (2152) imply:
% 251.40/43.06 | (2156) all_1390_2 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2156) implies:
% 251.40/43.06 | (2157) all_1390_2 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2145), (2157) imply:
% 251.40/43.06 | (2158) all_1381_1 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2158) implies:
% 251.40/43.06 | (2159) all_1381_1 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2136), (2159) imply:
% 251.40/43.06 | (2160) all_1306_1 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2160) implies:
% 251.40/43.06 | (2161) all_1306_1 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2052), (2054) imply:
% 251.40/43.06 | (2162) all_1322_1 = all_1264_1
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2052), (2053) imply:
% 251.40/43.06 | (2163) all_1322_1 = all_1298_2
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2162), (2163) imply:
% 251.40/43.06 | (2164) all_1298_2 = all_1264_1
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2164) implies:
% 251.40/43.06 | (2165) all_1298_2 = all_1264_1
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2155), (2161) imply:
% 251.40/43.06 | (2166) all_1290_2 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2166) implies:
% 251.40/43.06 | (2167) all_1290_2 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2051), (2165) imply:
% 251.40/43.06 | (2168) all_1264_1 = all_1262_1
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2050), (2165) imply:
% 251.40/43.06 | (2169) all_1268_0 = all_1264_1
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2169) implies:
% 251.40/43.06 | (2170) all_1268_0 = all_1264_1
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2153), (2167) imply:
% 251.40/43.06 | (2171) all_1283_1 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2171) implies:
% 251.40/43.06 | (2172) all_1283_1 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2049), (2172) imply:
% 251.40/43.06 | (2173) all_1268_0 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2173) implies:
% 251.40/43.06 | (2174) all_1268_0 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2170), (2174) imply:
% 251.40/43.06 | (2175) all_1264_1 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2175) implies:
% 251.40/43.06 | (2176) all_1264_1 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2168), (2176) imply:
% 251.40/43.06 | (2177) all_1262_1 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | SIMP: (2177) implies:
% 251.40/43.06 | (2178) all_1262_1 = all_1202_1
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2048), (2178) imply:
% 251.40/43.06 | (2179) all_1202_1 = all_1175_0
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2176), (2179) imply:
% 251.40/43.06 | (2180) all_1264_1 = all_1175_0
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2172), (2179) imply:
% 251.40/43.06 | (2181) all_1283_1 = all_1175_0
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2167), (2179) imply:
% 251.40/43.06 | (2182) all_1290_2 = all_1175_0
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2161), (2179) imply:
% 251.40/43.06 | (2183) all_1306_1 = all_1175_0
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2162), (2180) imply:
% 251.40/43.06 | (2184) all_1322_1 = all_1175_0
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2052), (2184) imply:
% 251.40/43.06 | (2185) all_1379_3 = all_1175_0
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2157), (2179) imply:
% 251.40/43.06 | (2186) all_1390_2 = all_1175_0
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2152), (2179) imply:
% 251.40/43.06 | (2187) all_1438_0 = all_1175_0
% 251.40/43.06 |
% 251.40/43.06 | COMBINE_EQS: (2148), (2182) imply:
% 251.40/43.07 | (2188) all_1456_0 = all_1175_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2140), (2179) imply:
% 251.40/43.07 | (2189) all_1470_2 = all_1175_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2058), (2187) imply:
% 251.40/43.07 | (2190) all_1524_1 = all_1175_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2124), (2179) imply:
% 251.40/43.07 | (2191) all_1530_2 = all_1175_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2114), (2183) imply:
% 251.40/43.07 | (2192) all_1563_1 = all_1175_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2062), (2189) imply:
% 251.40/43.07 | (2193) all_1584_1 = all_1175_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2126), (2186) imply:
% 251.40/43.07 | (2194) all_1590_1 = all_1175_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2116), (2188) imply:
% 251.40/43.07 | (2195) all_1608_2 = all_1175_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2120), (2186) imply:
% 251.40/43.07 | (2196) all_1611_2 = all_1175_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2122), (2179) imply:
% 251.40/43.07 | (2197) all_1629_3 = all_1175_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2108), (2179) imply:
% 251.40/43.07 | (2198) all_1658_2 = all_1175_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2070), (2188) imply:
% 251.40/43.07 | (2199) all_1666_1 = all_1175_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2072), (2183) imply:
% 251.40/43.07 | (2200) all_1671_2 = all_1175_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2105), (2179) imply:
% 251.40/43.07 | (2201) all_1690_2 = all_1175_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2096), (2179) imply:
% 251.40/43.07 | (2202) all_1696_2 = all_1175_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2094), (2106) imply:
% 251.40/43.07 | (2203) all_1707_7 = all_1498_3
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2079), (2195) imply:
% 251.40/43.07 | (2204) all_1707_1 = all_1175_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2092), (2179) imply:
% 251.40/43.07 | (2205) all_1710_1 = all_1175_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2043), (2106) imply:
% 251.40/43.07 | (2206) all_1712_8 = all_1498_3
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2087), (2179) imply:
% 251.40/43.07 | (2207) all_1712_2 = all_1175_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2045), (2203) imply:
% 251.40/43.07 | (2208) all_1714_7 = all_1498_3
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2084), (2179) imply:
% 251.40/43.07 | (2209) all_1714_1 = all_1175_0
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (835), (2209) imply:
% 251.40/43.07 | (2210) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1714_4,
% 251.40/43.07 | all_1175_0) = all_1714_0
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (822), (2207) imply:
% 251.40/43.07 | (2211) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1712_5,
% 251.40/43.07 | all_1175_0) = all_1712_1
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (799), (2205) imply:
% 251.40/43.07 | (2212) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1710_4,
% 251.40/43.07 | all_1175_0) = all_1710_0
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (787), (2204) imply:
% 251.40/43.07 | (2213) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1707_4,
% 251.40/43.07 | all_1175_0) = all_1707_0
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (768), (2202) imply:
% 251.40/43.07 | (2214) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1696_5,
% 251.40/43.07 | all_1175_0) = all_1696_1
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (724), (2199) imply:
% 251.40/43.07 | (2215) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1666_4,
% 251.40/43.07 | all_1175_0) = all_1666_0
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (752), (2201) imply:
% 251.40/43.07 | (2216) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 251.40/43.07 | c_Transcendental_Opi, all_1175_0) = all_1690_1
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (732), (2200) imply:
% 251.40/43.07 | (2217) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 251.40/43.07 | c_Transcendental_Opi, all_1175_0) = all_1671_1
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (705), (2198) imply:
% 251.40/43.07 | (2218) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 251.40/43.07 | c_Transcendental_Opi, all_1175_0) = all_1658_1
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (684), (2197) imply:
% 251.40/43.07 | (2219) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 251.40/43.07 | c_Transcendental_Opi, all_1175_0) = all_1629_2
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (673), (2196) imply:
% 251.40/43.07 | (2220) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 251.40/43.07 | c_Transcendental_Opi, all_1175_0) = all_1611_1
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (668), (2195) imply:
% 251.40/43.07 | (2221) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 251.40/43.07 | c_Transcendental_Opi, all_1175_0) = all_1608_1
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (655), (2194) imply:
% 251.40/43.07 | (2222) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 251.40/43.07 | c_Transcendental_Opi, all_1175_0) = all_1590_0
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (647), (2193) imply:
% 251.40/43.07 | (2223) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 251.40/43.07 | c_Transcendental_Opi, all_1175_0) = all_1584_0
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (632), (2192) imply:
% 251.40/43.07 | (2224) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 251.40/43.07 | c_Transcendental_Opi, all_1175_0) = all_1563_0
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (610), (2191) imply:
% 251.40/43.07 | (2225) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 251.40/43.07 | c_Transcendental_Opi, all_1175_0) = all_1530_1
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (603), (2190) imply:
% 251.40/43.07 | (2226) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 251.40/43.07 | c_Transcendental_Opi, all_1175_0) = all_1524_0
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (550), (2189) imply:
% 251.40/43.07 | (2227) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 251.40/43.07 | c_Transcendental_Opi, all_1175_0) = all_1470_1
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (480), (2186) imply:
% 251.40/43.07 | (2228) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 251.40/43.07 | c_Transcendental_Opi, all_1175_0) = all_1390_1
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (471), (2185) imply:
% 251.40/43.07 | (2229) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 251.40/43.07 | c_Transcendental_Opi, all_1175_0) = all_1379_2
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (436), (2184) imply:
% 251.40/43.07 | (2230) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 251.40/43.07 | c_Transcendental_Opi, all_1175_0) = all_1322_0
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (421), (2183) imply:
% 251.40/43.07 | (2231) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 251.40/43.07 | c_Transcendental_Opi, all_1175_0) = all_1306_0
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (405), (2182) imply:
% 251.40/43.07 | (2232) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 251.40/43.07 | c_Transcendental_Opi, all_1175_0) = all_1290_1
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (395), (2181) imply:
% 251.40/43.07 | (2233) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 251.40/43.07 | c_Transcendental_Opi, all_1175_0) = all_1283_0
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (377), (2180) imply:
% 251.40/43.07 | (2234) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 251.40/43.07 | c_Transcendental_Opi, all_1175_0) = all_1264_0
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (372), (2048) imply:
% 251.40/43.07 | (2235) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 251.40/43.07 | c_Transcendental_Opi, all_1175_0) = all_1262_0
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (333), (2179) imply:
% 251.40/43.07 | (2236) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 251.40/43.07 | c_Transcendental_Opi, all_1175_0) = all_1202_0
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (1723), (2208) imply:
% 251.40/43.07 | (2237) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1498_3,
% 251.40/43.07 | all_1450_1) = all_1714_5
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (1724), (2206) imply:
% 251.40/43.07 | (2238) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1498_3,
% 251.40/43.07 | all_1450_1) = all_1712_6
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (1725), (2041) imply:
% 251.40/43.07 | (2239) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1498_3,
% 251.40/43.07 | all_1450_1) = all_1710_5
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (1726), (2203) imply:
% 251.40/43.07 | (2240) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1498_3,
% 251.40/43.07 | all_1450_1) = all_1707_5
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (1727), (2098) imply:
% 251.40/43.07 | (2241) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1498_3,
% 251.40/43.07 | all_1450_1) = all_1696_6
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (1728), (2106) imply:
% 251.40/43.07 | (2242) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1498_3,
% 251.40/43.07 | all_1450_1) = all_1666_5
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (814), (2047) imply:
% 251.40/43.07 | (2243) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1696_10) =
% 251.40/43.07 | all_1712_9
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (806), (2047) imply:
% 251.40/43.07 | (2244) $i(all_1696_10)
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (595), (2085) imply:
% 251.40/43.07 | (2245) $i(all_1194_0)
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (212) with all_1696_9, all_1712_9, all_1696_10,
% 251.40/43.07 | tc_Complex_Ocomplex, simplifying with (762), (2243) gives:
% 251.40/43.07 | (2246) all_1712_9 = all_1696_9
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (218) with all_1498_1, all_1710_5, all_1450_1,
% 251.40/43.07 | all_1498_3, tc_RealDef_Oreal, simplifying with (1729), (2239)
% 251.40/43.07 | gives:
% 251.40/43.07 | (2247) all_1710_5 = all_1498_1
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (218) with all_1696_6, all_1712_6, all_1450_1,
% 251.40/43.07 | all_1498_3, tc_RealDef_Oreal, simplifying with (2238), (2241)
% 251.40/43.07 | gives:
% 251.40/43.07 | (2248) all_1712_6 = all_1696_6
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (218) with all_1666_5, all_1712_6, all_1450_1,
% 251.40/43.07 | all_1498_3, tc_RealDef_Oreal, simplifying with (2238), (2242)
% 251.40/43.07 | gives:
% 251.40/43.07 | (2249) all_1712_6 = all_1666_5
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (218) with all_1710_5, all_1714_5, all_1450_1,
% 251.40/43.07 | all_1498_3, tc_RealDef_Oreal, simplifying with (2237), (2239)
% 251.40/43.07 | gives:
% 251.40/43.07 | (2250) all_1714_5 = all_1710_5
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (218) with all_1707_5, all_1714_5, all_1450_1,
% 251.40/43.07 | all_1498_3, tc_RealDef_Oreal, simplifying with (2237), (2240)
% 251.40/43.07 | gives:
% 251.40/43.07 | (2251) all_1714_5 = all_1707_5
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (218) with all_1696_6, all_1714_5, all_1450_1,
% 251.40/43.07 | all_1498_3, tc_RealDef_Oreal, simplifying with (2237), (2241)
% 251.40/43.07 | gives:
% 251.40/43.07 | (2252) all_1714_5 = all_1696_6
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (219) with all_1202_0, all_1264_0, all_1175_0,
% 251.40/43.07 | c_Transcendental_Opi, tc_RealDef_Oreal, simplifying with (2234),
% 251.40/43.07 | (2236) gives:
% 251.40/43.07 | (2253) all_1264_0 = all_1202_0
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (219) with all_1264_0, all_1322_0, all_1175_0,
% 251.40/43.07 | c_Transcendental_Opi, tc_RealDef_Oreal, simplifying with (2230),
% 251.40/43.07 | (2234) gives:
% 251.40/43.07 | (2254) all_1322_0 = all_1264_0
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (219) with all_1262_0, all_1322_0, all_1175_0,
% 251.40/43.07 | c_Transcendental_Opi, tc_RealDef_Oreal, simplifying with (2230),
% 251.40/43.07 | (2235) gives:
% 251.40/43.07 | (2255) all_1322_0 = all_1262_0
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (219) with all_1322_0, all_1379_2, all_1175_0,
% 251.40/43.07 | c_Transcendental_Opi, tc_RealDef_Oreal, simplifying with (2229),
% 251.40/43.07 | (2230) gives:
% 251.40/43.07 | (2256) all_1379_2 = all_1322_0
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (219) with all_1379_2, all_1390_1, all_1175_0,
% 251.40/43.07 | c_Transcendental_Opi, tc_RealDef_Oreal, simplifying with (2228),
% 251.40/43.07 | (2229) gives:
% 251.40/43.07 | (2257) all_1390_1 = all_1379_2
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (219) with all_1322_0, all_1524_0, all_1175_0,
% 251.40/43.07 | c_Transcendental_Opi, tc_RealDef_Oreal, simplifying with (2226),
% 251.40/43.07 | (2230) gives:
% 251.40/43.07 | (2258) all_1524_0 = all_1322_0
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (219) with all_1530_1, all_1590_0, all_1175_0,
% 251.40/43.07 | c_Transcendental_Opi, tc_RealDef_Oreal, simplifying with (2222),
% 251.40/43.07 | (2225) gives:
% 251.40/43.07 | (2259) all_1590_0 = all_1530_1
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (219) with all_1524_0, all_1590_0, all_1175_0,
% 251.40/43.07 | c_Transcendental_Opi, tc_RealDef_Oreal, simplifying with (2222),
% 251.40/43.07 | (2226) gives:
% 251.40/43.07 | (2260) all_1590_0 = all_1524_0
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (219) with all_1283_0, all_1590_0, all_1175_0,
% 251.40/43.07 | c_Transcendental_Opi, tc_RealDef_Oreal, simplifying with (2222),
% 251.40/43.07 | (2233) gives:
% 251.40/43.07 | (2261) all_1590_0 = all_1283_0
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (219) with all_1524_0, all_1608_1, all_1175_0,
% 251.40/43.07 | c_Transcendental_Opi, tc_RealDef_Oreal, simplifying with (2221),
% 251.40/43.07 | (2226) gives:
% 251.40/43.07 | (2262) all_1608_1 = all_1524_0
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (219) with all_1470_1, all_1608_1, all_1175_0,
% 251.40/43.07 | c_Transcendental_Opi, tc_RealDef_Oreal, simplifying with (2221),
% 251.40/43.07 | (2227) gives:
% 251.40/43.07 | (2263) all_1608_1 = all_1470_1
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (219) with all_1584_0, all_1629_2, all_1175_0,
% 251.40/43.07 | c_Transcendental_Opi, tc_RealDef_Oreal, simplifying with (2219),
% 251.40/43.07 | (2223) gives:
% 251.40/43.07 | (2264) all_1629_2 = all_1584_0
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (219) with all_1390_1, all_1629_2, all_1175_0,
% 251.40/43.07 | c_Transcendental_Opi, tc_RealDef_Oreal, simplifying with (2219),
% 251.40/43.07 | (2228) gives:
% 251.40/43.07 | (2265) all_1629_2 = all_1390_1
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (219) with all_1629_2, all_1658_1, all_1175_0,
% 251.40/43.07 | c_Transcendental_Opi, tc_RealDef_Oreal, simplifying with (2218),
% 251.40/43.07 | (2219) gives:
% 251.40/43.07 | (2266) all_1658_1 = all_1629_2
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (219) with all_1306_0, all_1658_1, all_1175_0,
% 251.40/43.07 | c_Transcendental_Opi, tc_RealDef_Oreal, simplifying with (2218),
% 251.40/43.07 | (2231) gives:
% 251.40/43.07 | (2267) all_1658_1 = all_1306_0
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (219) with all_1322_0, all_1671_1, all_1175_0,
% 251.40/43.07 | c_Transcendental_Opi, tc_RealDef_Oreal, simplifying with (2217),
% 251.40/43.07 | (2230) gives:
% 251.40/43.07 | (2268) all_1671_1 = all_1322_0
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (219) with all_1290_1, all_1671_1, all_1175_0,
% 251.40/43.07 | c_Transcendental_Opi, tc_RealDef_Oreal, simplifying with (2217),
% 251.40/43.07 | (2232) gives:
% 251.40/43.07 | (2269) all_1671_1 = all_1290_1
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (219) with all_1611_1, all_1690_1, all_1175_0,
% 251.40/43.07 | c_Transcendental_Opi, tc_RealDef_Oreal, simplifying with (2216),
% 251.40/43.07 | (2220) gives:
% 251.40/43.07 | (2270) all_1690_1 = all_1611_1
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (219) with all_1608_1, all_1690_1, all_1175_0,
% 251.40/43.07 | c_Transcendental_Opi, tc_RealDef_Oreal, simplifying with (2216),
% 251.40/43.07 | (2221) gives:
% 251.40/43.07 | (2271) all_1690_1 = all_1608_1
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (219) with all_1563_0, all_1690_1, all_1175_0,
% 251.40/43.07 | c_Transcendental_Opi, tc_RealDef_Oreal, simplifying with (2216),
% 251.40/43.07 | (2224) gives:
% 251.40/43.07 | (2272) all_1690_1 = all_1563_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2250), (2251) imply:
% 251.40/43.07 | (2273) all_1710_5 = all_1707_5
% 251.40/43.07 |
% 251.40/43.07 | SIMP: (2273) implies:
% 251.40/43.07 | (2274) all_1710_5 = all_1707_5
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2251), (2252) imply:
% 251.40/43.07 | (2275) all_1707_5 = all_1696_6
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2248), (2249) imply:
% 251.40/43.07 | (2276) all_1696_6 = all_1666_5
% 251.40/43.07 |
% 251.40/43.07 | SIMP: (2276) implies:
% 251.40/43.07 | (2277) all_1696_6 = all_1666_5
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2247), (2274) imply:
% 251.40/43.07 | (2278) all_1707_5 = all_1498_1
% 251.40/43.07 |
% 251.40/43.07 | SIMP: (2278) implies:
% 251.40/43.07 | (2279) all_1707_5 = all_1498_1
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2275), (2279) imply:
% 251.40/43.07 | (2280) all_1696_6 = all_1498_1
% 251.40/43.07 |
% 251.40/43.07 | SIMP: (2280) implies:
% 251.40/43.07 | (2281) all_1696_6 = all_1498_1
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2277), (2281) imply:
% 251.40/43.07 | (2282) all_1666_5 = all_1498_1
% 251.40/43.07 |
% 251.40/43.07 | SIMP: (2282) implies:
% 251.40/43.07 | (2283) all_1666_5 = all_1498_1
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2270), (2272) imply:
% 251.40/43.07 | (2284) all_1611_1 = all_1563_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2270), (2271) imply:
% 251.40/43.07 | (2285) all_1611_1 = all_1608_1
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2268), (2269) imply:
% 251.40/43.07 | (2286) all_1322_0 = all_1290_1
% 251.40/43.07 |
% 251.40/43.07 | SIMP: (2286) implies:
% 251.40/43.07 | (2287) all_1322_0 = all_1290_1
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2266), (2267) imply:
% 251.40/43.07 | (2288) all_1629_2 = all_1306_0
% 251.40/43.07 |
% 251.40/43.07 | SIMP: (2288) implies:
% 251.40/43.07 | (2289) all_1629_2 = all_1306_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2264), (2265) imply:
% 251.40/43.07 | (2290) all_1584_0 = all_1390_1
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2264), (2289) imply:
% 251.40/43.07 | (2291) all_1584_0 = all_1306_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2284), (2285) imply:
% 251.40/43.07 | (2292) all_1608_1 = all_1563_0
% 251.40/43.07 |
% 251.40/43.07 | SIMP: (2292) implies:
% 251.40/43.07 | (2293) all_1608_1 = all_1563_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2262), (2293) imply:
% 251.40/43.07 | (2294) all_1563_0 = all_1524_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2263), (2293) imply:
% 251.40/43.07 | (2295) all_1563_0 = all_1470_1
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2259), (2261) imply:
% 251.40/43.07 | (2296) all_1530_1 = all_1283_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2259), (2260) imply:
% 251.40/43.07 | (2297) all_1530_1 = all_1524_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2290), (2291) imply:
% 251.40/43.07 | (2298) all_1390_1 = all_1306_0
% 251.40/43.07 |
% 251.40/43.07 | SIMP: (2298) implies:
% 251.40/43.07 | (2299) all_1390_1 = all_1306_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2294), (2295) imply:
% 251.40/43.07 | (2300) all_1524_0 = all_1470_1
% 251.40/43.07 |
% 251.40/43.07 | SIMP: (2300) implies:
% 251.40/43.07 | (2301) all_1524_0 = all_1470_1
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2296), (2297) imply:
% 251.40/43.07 | (2302) all_1524_0 = all_1283_0
% 251.40/43.07 |
% 251.40/43.07 | SIMP: (2302) implies:
% 251.40/43.07 | (2303) all_1524_0 = all_1283_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2258), (2301) imply:
% 251.40/43.07 | (2304) all_1470_1 = all_1322_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2301), (2303) imply:
% 251.40/43.07 | (2305) all_1470_1 = all_1283_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2304), (2305) imply:
% 251.40/43.07 | (2306) all_1322_0 = all_1283_0
% 251.40/43.07 |
% 251.40/43.07 | SIMP: (2306) implies:
% 251.40/43.07 | (2307) all_1322_0 = all_1283_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2257), (2299) imply:
% 251.40/43.07 | (2308) all_1379_2 = all_1306_0
% 251.40/43.07 |
% 251.40/43.07 | SIMP: (2308) implies:
% 251.40/43.07 | (2309) all_1379_2 = all_1306_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2256), (2309) imply:
% 251.40/43.07 | (2310) all_1322_0 = all_1306_0
% 251.40/43.07 |
% 251.40/43.07 | SIMP: (2310) implies:
% 251.40/43.07 | (2311) all_1322_0 = all_1306_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2255), (2311) imply:
% 251.40/43.07 | (2312) all_1306_0 = all_1262_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2287), (2311) imply:
% 251.40/43.07 | (2313) all_1306_0 = all_1290_1
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2307), (2311) imply:
% 251.40/43.07 | (2314) all_1306_0 = all_1283_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2254), (2311) imply:
% 251.40/43.07 | (2315) all_1306_0 = all_1264_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2312), (2313) imply:
% 251.40/43.07 | (2316) all_1290_1 = all_1262_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2313), (2315) imply:
% 251.40/43.07 | (2317) all_1290_1 = all_1264_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2313), (2314) imply:
% 251.40/43.07 | (2318) all_1290_1 = all_1283_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2316), (2318) imply:
% 251.40/43.07 | (2319) all_1283_0 = all_1262_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2317), (2318) imply:
% 251.40/43.07 | (2320) all_1283_0 = all_1264_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2319), (2320) imply:
% 251.40/43.07 | (2321) all_1264_0 = all_1262_0
% 251.40/43.07 |
% 251.40/43.07 | SIMP: (2321) implies:
% 251.40/43.07 | (2322) all_1264_0 = all_1262_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2253), (2322) imply:
% 251.40/43.07 | (2323) all_1262_0 = all_1202_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2319), (2323) imply:
% 251.40/43.07 | (2324) all_1283_0 = all_1202_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2318), (2324) imply:
% 251.40/43.07 | (2325) all_1290_1 = all_1202_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2313), (2325) imply:
% 251.40/43.07 | (2326) all_1306_0 = all_1202_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2249), (2283) imply:
% 251.40/43.07 | (2327) all_1712_6 = all_1498_1
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2251), (2279) imply:
% 251.40/43.07 | (2328) all_1714_5 = all_1498_1
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (1659), (2325) imply:
% 251.40/43.07 | (2329) ~ (all_1202_0 = all_975_0)
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (1664), (2326) imply:
% 251.40/43.07 | (2330) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_975_0,
% 251.40/43.07 | all_1202_0) = 0
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (831), (2328) imply:
% 251.40/43.07 | (2331) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1498_1) = all_1714_4
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (818), (2327) imply:
% 251.40/43.07 | (2332) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1498_1) = all_1712_5
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (795), (2247) imply:
% 251.40/43.07 | (2333) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1498_1) = all_1710_4
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (783), (2279) imply:
% 251.40/43.07 | (2334) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1498_1) = all_1707_4
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (765), (2281) imply:
% 251.40/43.07 | (2335) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1498_1) = all_1696_5
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (720), (2283) imply:
% 251.40/43.07 | (2336) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1498_1) = all_1666_4
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (811), (2246) imply:
% 251.40/43.07 | (2337) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1696_9,
% 251.40/43.07 | all_1712_1) = all_1712_0
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (371), (2323) imply:
% 251.40/43.07 | (2338) $i(all_1202_0)
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (213) with all_1498_0, all_1710_4, all_1498_1,
% 251.40/43.07 | tc_RealDef_Oreal, simplifying with (577), (2333) gives:
% 251.40/43.07 | (2339) all_1710_4 = all_1498_0
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (213) with all_1707_4, all_1710_4, all_1498_1,
% 251.40/43.07 | tc_RealDef_Oreal, simplifying with (2333), (2334) gives:
% 251.40/43.07 | (2340) all_1710_4 = all_1707_4
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (213) with all_1710_4, all_1712_5, all_1498_1,
% 251.40/43.07 | tc_RealDef_Oreal, simplifying with (2332), (2333) gives:
% 251.40/43.07 | (2341) all_1712_5 = all_1710_4
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (213) with all_1666_4, all_1712_5, all_1498_1,
% 251.40/43.07 | tc_RealDef_Oreal, simplifying with (2332), (2336) gives:
% 251.40/43.07 | (2342) all_1712_5 = all_1666_4
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (213) with all_1710_4, all_1714_4, all_1498_1,
% 251.40/43.07 | tc_RealDef_Oreal, simplifying with (2331), (2333) gives:
% 251.40/43.07 | (2343) all_1714_4 = all_1710_4
% 251.40/43.07 |
% 251.40/43.07 | GROUND_INST: instantiating (213) with all_1696_5, all_1714_4, all_1498_1,
% 251.40/43.07 | tc_RealDef_Oreal, simplifying with (2331), (2335) gives:
% 251.40/43.07 | (2344) all_1714_4 = all_1696_5
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2343), (2344) imply:
% 251.40/43.07 | (2345) all_1710_4 = all_1696_5
% 251.40/43.07 |
% 251.40/43.07 | SIMP: (2345) implies:
% 251.40/43.07 | (2346) all_1710_4 = all_1696_5
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2341), (2342) imply:
% 251.40/43.07 | (2347) all_1710_4 = all_1666_4
% 251.40/43.07 |
% 251.40/43.07 | SIMP: (2347) implies:
% 251.40/43.07 | (2348) all_1710_4 = all_1666_4
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2339), (2340) imply:
% 251.40/43.07 | (2349) all_1707_4 = all_1498_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2340), (2348) imply:
% 251.40/43.07 | (2350) all_1707_4 = all_1666_4
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2340), (2346) imply:
% 251.40/43.07 | (2351) all_1707_4 = all_1696_5
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2350), (2351) imply:
% 251.40/43.07 | (2352) all_1696_5 = all_1666_4
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2349), (2351) imply:
% 251.40/43.07 | (2353) all_1696_5 = all_1498_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2352), (2353) imply:
% 251.40/43.07 | (2354) all_1666_4 = all_1498_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2342), (2354) imply:
% 251.40/43.07 | (2355) all_1712_5 = all_1498_0
% 251.40/43.07 |
% 251.40/43.07 | COMBINE_EQS: (2344), (2353) imply:
% 251.40/43.07 | (2356) all_1714_4 = all_1498_0
% 251.40/43.07 |
% 251.40/43.07 | REDUCE: (2210), (2356) imply:
% 251.40/43.07 | (2357) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1498_0,
% 251.40/43.07 | all_1175_0) = all_1714_0
% 251.40/43.07 |
% 251.40/43.08 | REDUCE: (2211), (2355) imply:
% 251.40/43.08 | (2358) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1498_0,
% 251.40/43.08 | all_1175_0) = all_1712_1
% 251.40/43.08 |
% 251.40/43.08 | REDUCE: (2212), (2339) imply:
% 251.40/43.08 | (2359) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1498_0,
% 251.40/43.08 | all_1175_0) = all_1710_0
% 251.40/43.08 |
% 251.40/43.08 | REDUCE: (2213), (2349) imply:
% 251.40/43.08 | (2360) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1498_0,
% 251.40/43.08 | all_1175_0) = all_1707_0
% 251.40/43.08 |
% 251.40/43.08 | REDUCE: (2214), (2353) imply:
% 251.40/43.08 | (2361) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1498_0,
% 251.40/43.08 | all_1175_0) = all_1696_1
% 251.40/43.08 |
% 251.40/43.08 | REDUCE: (2215), (2354) imply:
% 251.40/43.08 | (2362) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1498_0,
% 251.40/43.08 | all_1175_0) = all_1666_0
% 251.40/43.08 |
% 251.40/43.08 | GROUND_INST: instantiating (219) with all_1696_1, all_1710_0, all_1175_0,
% 251.40/43.08 | all_1498_0, tc_RealDef_Oreal, simplifying with (2359), (2361)
% 251.40/43.08 | gives:
% 251.40/43.08 | (2363) all_1710_0 = all_1696_1
% 251.40/43.08 |
% 251.40/43.08 | GROUND_INST: instantiating (219) with all_1710_0, all_1712_1, all_1175_0,
% 251.40/43.08 | all_1498_0, tc_RealDef_Oreal, simplifying with (2358), (2359)
% 251.40/43.08 | gives:
% 251.40/43.08 | (2364) all_1712_1 = all_1710_0
% 251.40/43.08 |
% 251.40/43.08 | GROUND_INST: instantiating (219) with all_1707_0, all_1712_1, all_1175_0,
% 251.40/43.08 | all_1498_0, tc_RealDef_Oreal, simplifying with (2358), (2360)
% 251.40/43.08 | gives:
% 251.40/43.08 | (2365) all_1712_1 = all_1707_0
% 251.40/43.08 |
% 251.40/43.08 | GROUND_INST: instantiating (219) with all_1710_0, all_1714_0, all_1175_0,
% 251.40/43.08 | all_1498_0, tc_RealDef_Oreal, simplifying with (2357), (2359)
% 251.40/43.08 | gives:
% 251.40/43.08 | (2366) all_1714_0 = all_1710_0
% 251.40/43.08 |
% 251.40/43.08 | GROUND_INST: instantiating (219) with all_1666_0, all_1714_0, all_1175_0,
% 251.40/43.08 | all_1498_0, tc_RealDef_Oreal, simplifying with (2357), (2362)
% 251.40/43.08 | gives:
% 251.40/43.08 | (2367) all_1714_0 = all_1666_0
% 251.40/43.08 |
% 251.40/43.08 | COMBINE_EQS: (2366), (2367) imply:
% 251.40/43.08 | (2368) all_1710_0 = all_1666_0
% 251.40/43.08 |
% 251.40/43.08 | SIMP: (2368) implies:
% 251.40/43.08 | (2369) all_1710_0 = all_1666_0
% 251.40/43.08 |
% 251.40/43.08 | COMBINE_EQS: (2364), (2365) imply:
% 251.40/43.08 | (2370) all_1710_0 = all_1707_0
% 251.40/43.08 |
% 251.40/43.08 | SIMP: (2370) implies:
% 251.40/43.08 | (2371) all_1710_0 = all_1707_0
% 251.40/43.08 |
% 251.40/43.08 | COMBINE_EQS: (2369), (2371) imply:
% 251.40/43.08 | (2372) all_1707_0 = all_1666_0
% 251.40/43.08 |
% 251.40/43.08 | COMBINE_EQS: (2363), (2371) imply:
% 251.40/43.08 | (2373) all_1707_0 = all_1696_1
% 251.40/43.08 |
% 251.40/43.08 | COMBINE_EQS: (2372), (2373) imply:
% 251.40/43.08 | (2374) all_1696_1 = all_1666_0
% 251.40/43.08 |
% 251.40/43.08 | SIMP: (2374) implies:
% 251.40/43.08 | (2375) all_1696_1 = all_1666_0
% 251.40/43.08 |
% 251.40/43.08 | COMBINE_EQS: (2365), (2372) imply:
% 251.40/43.08 | (2376) all_1712_1 = all_1666_0
% 251.40/43.08 |
% 251.40/43.08 | REDUCE: (2337), (2376) imply:
% 251.40/43.08 | (2377) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1696_9,
% 251.40/43.08 | all_1666_0) = all_1712_0
% 251.40/43.08 |
% 251.40/43.08 | REDUCE: (760), (2375) imply:
% 251.40/43.08 | (2378) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1696_9,
% 251.40/43.08 | all_1666_0) = all_1696_0
% 251.40/43.08 |
% 251.40/43.08 | GROUND_INST: instantiating (217) with all_1696_0, all_1712_0, all_1666_0,
% 251.40/43.08 | all_1696_9, tc_RealDef_Oreal, simplifying with (2377), (2378)
% 251.40/43.08 | gives:
% 251.40/43.08 | (2379) all_1712_0 = all_1696_0
% 251.40/43.08 |
% 251.40/43.08 | BETA: splitting (826) gives:
% 251.40/43.08 |
% 251.40/43.08 | Case 1:
% 251.40/43.08 | |
% 251.40/43.08 | | (2380) ~ (all_1712_14 = 0)
% 251.40/43.08 | |
% 251.40/43.08 | | REDUCE: (2040), (2380) imply:
% 251.40/43.08 | | (2381) $false
% 251.40/43.08 | |
% 251.40/43.08 | | CLOSE: (2381) is inconsistent.
% 251.40/43.08 | |
% 251.40/43.08 | Case 2:
% 251.40/43.08 | |
% 251.40/43.08 | | (2382) ~ (all_1712_15 = 0) | all_1712_0 = 0
% 251.40/43.08 | |
% 251.40/43.08 | | BETA: splitting (2382) gives:
% 251.40/43.08 | |
% 251.40/43.08 | | Case 1:
% 251.40/43.08 | | |
% 251.40/43.08 | | | (2383) ~ (all_1712_15 = 0)
% 251.40/43.08 | | |
% 251.40/43.08 | | | GROUND_INST: instantiating (524) with v_w____, tc_Complex_Ocomplex,
% 251.40/43.08 | | | all_973_0, simplifying with (119), (198), (226) gives:
% 251.40/43.08 | | | (2384) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 251.40/43.08 | | | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_973_0,
% 251.40/43.08 | | | all_1444_0) = v1 &
% 251.40/43.08 | | | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.08 | | | v0 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 &
% 251.40/43.08 | | | $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 = v_w____) | v1 = 0) & ( ~
% 251.40/43.08 | | | (v1 = 0) | v2 = v_w____))))
% 251.40/43.08 | | |
% 251.40/43.08 | | | GROUND_INST: instantiating (515) with v_w____, tc_Complex_Ocomplex,
% 251.40/43.08 | | | all_973_0, simplifying with (119), (198), (226) gives:
% 251.40/43.08 | | | (2385) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 251.40/43.08 | | | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.08 | | | v0 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 &
% 251.40/43.08 | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1435_0,
% 251.40/43.08 | | | all_973_0) = v1 & $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 =
% 251.40/43.08 | | | v_w____) | ~ (v1 = 0)) & (v2 = v_w____ | v1 = 0))))
% 251.40/43.08 | | |
% 251.40/43.08 | | | GROUND_INST: instantiating (367) with v_w____, tc_Complex_Ocomplex,
% 251.40/43.08 | | | all_973_0, simplifying with (119), (198), (226) gives:
% 251.40/43.08 | | | (2386) ? [v0: any] : ? [v1: any] :
% 251.40/43.08 | | | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1253_0,
% 251.40/43.08 | | | all_973_0) = v1 &
% 251.40/43.08 | | | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.08 | | | v0 & ( ~ (v0 = 0) | v1 = 0))
% 251.40/43.08 | | |
% 251.40/43.08 | | | GROUND_INST: instantiating (498) with v_w____, tc_Complex_Ocomplex,
% 251.40/43.08 | | | all_973_0, simplifying with (119), (198), (226) gives:
% 251.40/43.08 | | | (2387) ? [v0: any] : ? [v1: $i] :
% 251.40/43.08 | | | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.08 | | | v0 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 &
% 251.40/43.08 | | | $i(v1) & ( ~ (v0 = 0) | (( ~ (v1 = v_w____) | all_1409_0 =
% 251.40/43.08 | | | all_973_0) & ( ~ (all_1409_0 = all_973_0) | v1 =
% 251.40/43.08 | | | v_w____))))
% 251.40/43.08 | | |
% 251.40/43.08 | | | GROUND_INST: instantiating (8) with v_w____, tc_Complex_Ocomplex,
% 251.40/43.08 | | | all_973_0, simplifying with (119), (198), (226) gives:
% 251.40/43.08 | | | (2388) ? [v0: any] : ? [v1: $i] :
% 251.40/43.08 | | | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.08 | | | v0 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_973_0) =
% 251.40/43.08 | | | v1 & $i(v1) & ( ~ (v0 = 0) | v1 = all_973_0))
% 251.40/43.08 | | |
% 251.40/43.08 | | | GROUND_INST: instantiating (364) with v_w____, tc_Complex_Ocomplex,
% 251.40/43.08 | | | all_973_0, simplifying with (119), (198), (226) gives:
% 251.40/43.08 | | | (2389) ? [v0: any] : ? [v1: any] :
% 251.40/43.08 | | | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.08 | | | v0 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 251.40/43.08 | | | all_973_0, all_1250_0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 251.40/43.08 | | |
% 251.40/43.08 | | | GROUND_INST: instantiating (524) with all_1073_1, tc_Complex_Ocomplex,
% 251.40/43.08 | | | all_1073_0, simplifying with (198), (273), (1745) gives:
% 251.40/43.08 | | | (2390) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 251.40/43.08 | | | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1073_0,
% 251.40/43.08 | | | all_1444_0) = v1 &
% 251.40/43.08 | | | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.08 | | | v0 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 &
% 251.40/43.08 | | | $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 = all_1073_1) | v1 = 0) & ( ~
% 251.40/43.08 | | | (v1 = 0) | v2 = all_1073_1))))
% 251.40/43.08 | | |
% 251.40/43.08 | | | GROUND_INST: instantiating (515) with all_1073_1, tc_Complex_Ocomplex,
% 251.40/43.08 | | | all_1073_0, simplifying with (198), (273), (1745) gives:
% 251.40/43.08 | | | (2391) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 251.40/43.08 | | | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.08 | | | v0 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 &
% 251.40/43.08 | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1435_0,
% 251.40/43.08 | | | all_1073_0) = v1 & $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 =
% 251.40/43.08 | | | all_1073_1) | ~ (v1 = 0)) & (v2 = all_1073_1 | v1 =
% 251.40/43.08 | | | 0))))
% 251.40/43.08 | | |
% 251.40/43.08 | | | GROUND_INST: instantiating (367) with all_1073_1, tc_Complex_Ocomplex,
% 251.40/43.08 | | | all_1073_0, simplifying with (198), (273), (1745) gives:
% 251.40/43.08 | | | (2392) ? [v0: any] : ? [v1: any] :
% 251.40/43.08 | | | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1253_0,
% 251.40/43.08 | | | all_1073_0) = v1 &
% 251.40/43.08 | | | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.08 | | | v0 & ( ~ (v0 = 0) | v1 = 0))
% 251.40/43.08 | | |
% 251.40/43.08 | | | GROUND_INST: instantiating (498) with all_1073_1, tc_Complex_Ocomplex,
% 251.40/43.08 | | | all_1073_0, simplifying with (198), (273), (1745) gives:
% 251.40/43.08 | | | (2393) ? [v0: any] : ? [v1: $i] :
% 251.40/43.08 | | | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.08 | | | v0 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 &
% 251.40/43.08 | | | $i(v1) & ( ~ (v0 = 0) | (( ~ (v1 = all_1073_1) | all_1409_0 =
% 251.40/43.08 | | | all_1073_0) & ( ~ (all_1409_0 = all_1073_0) | v1 =
% 251.40/43.08 | | | all_1073_1))))
% 251.40/43.08 | | |
% 251.40/43.08 | | | GROUND_INST: instantiating (8) with all_1073_1, tc_Complex_Ocomplex,
% 251.40/43.08 | | | all_1073_0, simplifying with (198), (273), (1745) gives:
% 251.40/43.08 | | | (2394) ? [v0: any] : ? [v1: $i] :
% 251.40/43.08 | | | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.08 | | | v0 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1073_0) =
% 251.40/43.08 | | | v1 & $i(v1) & ( ~ (v0 = 0) | v1 = all_1073_0))
% 251.40/43.08 | | |
% 251.40/43.08 | | | GROUND_INST: instantiating (364) with all_1073_1, tc_Complex_Ocomplex,
% 251.40/43.08 | | | all_1073_0, simplifying with (198), (273), (1745) gives:
% 251.40/43.08 | | | (2395) ? [v0: any] : ? [v1: any] :
% 251.40/43.08 | | | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.08 | | | v0 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 251.40/43.08 | | | all_1073_0, all_1250_0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 251.40/43.08 | | |
% 251.40/43.08 | | | GROUND_INST: instantiating (524) with all_1459_5, tc_Complex_Ocomplex,
% 251.40/43.08 | | | all_1459_4, simplifying with (198), (538), (541) gives:
% 251.40/43.08 | | | (2396) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 251.40/43.08 | | | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1459_4,
% 251.40/43.08 | | | all_1444_0) = v1 &
% 251.40/43.08 | | | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.08 | | | v0 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 &
% 251.40/43.08 | | | $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 = all_1459_5) | v1 = 0) & ( ~
% 251.40/43.08 | | | (v1 = 0) | v2 = all_1459_5))))
% 251.40/43.08 | | |
% 251.40/43.08 | | | GROUND_INST: instantiating (515) with all_1459_5, tc_Complex_Ocomplex,
% 251.40/43.08 | | | all_1459_4, simplifying with (198), (538), (541) gives:
% 251.40/43.08 | | | (2397) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 251.40/43.08 | | | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.08 | | | v0 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 &
% 251.40/43.08 | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1435_0,
% 251.40/43.08 | | | all_1459_4) = v1 & $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 =
% 251.40/43.08 | | | all_1459_5) | ~ (v1 = 0)) & (v2 = all_1459_5 | v1 =
% 251.40/43.08 | | | 0))))
% 251.40/43.08 | | |
% 251.40/43.08 | | | GROUND_INST: instantiating (367) with all_1459_5, tc_Complex_Ocomplex,
% 251.40/43.08 | | | all_1459_4, simplifying with (198), (538), (541) gives:
% 251.40/43.08 | | | (2398) ? [v0: any] : ? [v1: any] :
% 251.40/43.08 | | | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1253_0,
% 251.40/43.08 | | | all_1459_4) = v1 &
% 251.40/43.08 | | | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.08 | | | v0 & ( ~ (v0 = 0) | v1 = 0))
% 251.40/43.08 | | |
% 251.40/43.08 | | | GROUND_INST: instantiating (498) with all_1459_5, tc_Complex_Ocomplex,
% 251.40/43.08 | | | all_1459_4, simplifying with (198), (538), (541) gives:
% 251.40/43.08 | | | (2399) ? [v0: any] : ? [v1: $i] :
% 251.40/43.08 | | | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.08 | | | v0 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 &
% 251.40/43.08 | | | $i(v1) & ( ~ (v0 = 0) | (( ~ (v1 = all_1459_5) | all_1459_4 =
% 251.40/43.08 | | | all_1409_0) & ( ~ (all_1459_4 = all_1409_0) | v1 =
% 251.40/43.08 | | | all_1459_5))))
% 251.40/43.08 | | |
% 251.40/43.08 | | | GROUND_INST: instantiating (8) with all_1459_5, tc_Complex_Ocomplex,
% 251.40/43.08 | | | all_1459_4, simplifying with (198), (538), (541) gives:
% 251.40/43.08 | | | (2400) ? [v0: any] : ? [v1: $i] :
% 251.40/43.08 | | | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.08 | | | v0 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1459_4) =
% 251.40/43.08 | | | v1 & $i(v1) & ( ~ (v0 = 0) | v1 = all_1459_4))
% 251.40/43.08 | | |
% 251.40/43.08 | | | GROUND_INST: instantiating (364) with all_1459_5, tc_Complex_Ocomplex,
% 251.40/43.08 | | | all_1459_4, simplifying with (198), (538), (541) gives:
% 251.40/43.08 | | | (2401) ? [v0: any] : ? [v1: any] :
% 251.40/43.08 | | | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.08 | | | v0 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 251.40/43.08 | | | all_1459_4, all_1250_0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 251.40/43.08 | | |
% 251.40/43.08 | | | GROUND_INST: instantiating (524) with all_1459_2, tc_Complex_Ocomplex,
% 251.40/43.08 | | | all_1459_1, simplifying with (198), (539), (542) gives:
% 251.40/43.09 | | | (2402) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 251.40/43.09 | | | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1459_1,
% 251.40/43.09 | | | all_1444_0) = v1 &
% 251.40/43.09 | | | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.09 | | | v0 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 &
% 251.40/43.09 | | | $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 = all_1459_2) | v1 = 0) & ( ~
% 251.40/43.09 | | | (v1 = 0) | v2 = all_1459_2))))
% 251.40/43.09 | | |
% 251.40/43.09 | | | GROUND_INST: instantiating (515) with all_1459_2, tc_Complex_Ocomplex,
% 251.40/43.09 | | | all_1459_1, simplifying with (198), (539), (542) gives:
% 251.40/43.09 | | | (2403) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 251.40/43.09 | | | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.09 | | | v0 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 &
% 251.40/43.09 | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1435_0,
% 251.40/43.09 | | | all_1459_1) = v1 & $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 =
% 251.40/43.09 | | | all_1459_2) | ~ (v1 = 0)) & (v2 = all_1459_2 | v1 =
% 251.40/43.09 | | | 0))))
% 251.40/43.09 | | |
% 251.40/43.09 | | | GROUND_INST: instantiating (498) with all_1459_2, tc_Complex_Ocomplex,
% 251.40/43.09 | | | all_1459_1, simplifying with (198), (539), (542) gives:
% 251.40/43.09 | | | (2404) ? [v0: any] : ? [v1: $i] :
% 251.40/43.09 | | | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.09 | | | v0 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 &
% 251.40/43.09 | | | $i(v1) & ( ~ (v0 = 0) | (( ~ (v1 = all_1459_2) | all_1459_1 =
% 251.40/43.09 | | | all_1409_0) & ( ~ (all_1459_1 = all_1409_0) | v1 =
% 251.40/43.09 | | | all_1459_2))))
% 251.40/43.09 | | |
% 251.40/43.09 | | | GROUND_INST: instantiating (364) with all_1459_2, tc_Complex_Ocomplex,
% 251.40/43.09 | | | all_1459_1, simplifying with (198), (539), (542) gives:
% 251.40/43.09 | | | (2405) ? [v0: any] : ? [v1: any] :
% 251.40/43.09 | | | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.09 | | | v0 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 251.40/43.09 | | | all_1459_1, all_1250_0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 251.40/43.09 | | |
% 251.40/43.09 | | | GROUND_INST: instantiating (524) with all_1498_4, tc_Complex_Ocomplex,
% 251.40/43.09 | | | all_1498_3, simplifying with (198), (575), (2039) gives:
% 251.40/43.09 | | | (2406) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 251.40/43.09 | | | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1498_3,
% 251.40/43.09 | | | all_1444_0) = v1 &
% 251.40/43.09 | | | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.09 | | | v0 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 &
% 251.40/43.09 | | | $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 = all_1498_4) | v1 = 0) & ( ~
% 251.40/43.09 | | | (v1 = 0) | v2 = all_1498_4))))
% 251.40/43.09 | | |
% 251.40/43.09 | | | GROUND_INST: instantiating (515) with all_1498_4, tc_Complex_Ocomplex,
% 251.40/43.09 | | | all_1498_3, simplifying with (198), (575), (2039) gives:
% 251.40/43.09 | | | (2407) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 251.40/43.09 | | | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.09 | | | v0 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 &
% 251.40/43.09 | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1435_0,
% 251.40/43.09 | | | all_1498_3) = v1 & $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 =
% 251.40/43.09 | | | all_1498_4) | ~ (v1 = 0)) & (v2 = all_1498_4 | v1 =
% 251.40/43.09 | | | 0))))
% 251.40/43.09 | | |
% 251.40/43.09 | | | GROUND_INST: instantiating (367) with all_1498_4, tc_Complex_Ocomplex,
% 251.40/43.09 | | | all_1498_3, simplifying with (198), (575), (2039) gives:
% 251.40/43.09 | | | (2408) ? [v0: any] : ? [v1: any] :
% 251.40/43.09 | | | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1253_0,
% 251.40/43.09 | | | all_1498_3) = v1 &
% 251.40/43.09 | | | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.09 | | | v0 & ( ~ (v0 = 0) | v1 = 0))
% 251.40/43.09 | | |
% 251.40/43.09 | | | GROUND_INST: instantiating (498) with all_1498_4, tc_Complex_Ocomplex,
% 251.40/43.09 | | | all_1498_3, simplifying with (198), (575), (2039) gives:
% 251.40/43.09 | | | (2409) ? [v0: any] : ? [v1: $i] :
% 251.40/43.09 | | | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.09 | | | v0 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 &
% 251.40/43.09 | | | $i(v1) & ( ~ (v0 = 0) | (( ~ (v1 = all_1498_4) | all_1498_3 =
% 251.40/43.09 | | | all_1409_0) & ( ~ (all_1498_3 = all_1409_0) | v1 =
% 251.40/43.09 | | | all_1498_4))))
% 251.40/43.09 | | |
% 251.40/43.09 | | | GROUND_INST: instantiating (8) with all_1498_4, tc_Complex_Ocomplex,
% 251.40/43.09 | | | all_1498_3, simplifying with (198), (575), (2039) gives:
% 251.40/43.09 | | | (2410) ? [v0: any] : ? [v1: $i] :
% 251.40/43.09 | | | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.09 | | | v0 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1498_3) =
% 251.40/43.09 | | | v1 & $i(v1) & ( ~ (v0 = 0) | v1 = all_1498_3))
% 251.40/43.09 | | |
% 251.40/43.09 | | | GROUND_INST: instantiating (524) with all_1696_10, tc_Complex_Ocomplex,
% 251.40/43.09 | | | all_1696_9, simplifying with (198), (762), (2244) gives:
% 251.40/43.09 | | | (2411) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 251.40/43.09 | | | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1696_9,
% 251.40/43.09 | | | all_1444_0) = v1 &
% 251.40/43.09 | | | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.09 | | | v0 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 &
% 251.40/43.09 | | | $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 = all_1696_10) | v1 = 0) & (
% 251.40/43.09 | | | ~ (v1 = 0) | v2 = all_1696_10))))
% 251.40/43.09 | | |
% 251.40/43.09 | | | GROUND_INST: instantiating (515) with all_1696_10, tc_Complex_Ocomplex,
% 251.40/43.09 | | | all_1696_9, simplifying with (198), (762), (2244) gives:
% 251.40/43.09 | | | (2412) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 251.40/43.09 | | | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.09 | | | v0 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 &
% 251.40/43.09 | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1435_0,
% 251.40/43.09 | | | all_1696_9) = v1 & $i(v2) & ( ~ (v0 = 0) | (( ~ (v2 =
% 251.40/43.09 | | | all_1696_10) | ~ (v1 = 0)) & (v2 = all_1696_10 | v1 =
% 251.40/43.09 | | | 0))))
% 251.40/43.09 | | |
% 251.40/43.09 | | | GROUND_INST: instantiating (498) with all_1696_10, tc_Complex_Ocomplex,
% 251.40/43.09 | | | all_1696_9, simplifying with (198), (762), (2244) gives:
% 251.40/43.09 | | | (2413) ? [v0: any] : ? [v1: $i] :
% 251.40/43.09 | | | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.09 | | | v0 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 &
% 251.40/43.09 | | | $i(v1) & ( ~ (v0 = 0) | (( ~ (v1 = all_1696_10) | all_1696_9 =
% 251.40/43.09 | | | all_1409_0) & ( ~ (all_1696_9 = all_1409_0) | v1 =
% 251.40/43.09 | | | all_1696_10))))
% 251.40/43.09 | | |
% 251.40/43.09 | | | GROUND_INST: instantiating (8) with all_1696_10, tc_Complex_Ocomplex,
% 251.40/43.09 | | | all_1696_9, simplifying with (198), (762), (2244) gives:
% 251.40/43.09 | | | (2414) ? [v0: any] : ? [v1: $i] :
% 251.40/43.09 | | | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.09 | | | v0 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1696_9) =
% 251.40/43.09 | | | v1 & $i(v1) & ( ~ (v0 = 0) | v1 = all_1696_9))
% 251.40/43.09 | | |
% 251.40/43.09 | | | GROUND_INST: instantiating (364) with all_1696_10, tc_Complex_Ocomplex,
% 251.40/43.09 | | | all_1696_9, simplifying with (198), (762), (2244) gives:
% 251.40/43.09 | | | (2415) ? [v0: any] : ? [v1: any] :
% 251.40/43.09 | | | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.09 | | | v0 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 251.40/43.09 | | | all_1696_9, all_1250_0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 251.40/43.09 | | |
% 251.40/43.09 | | | GROUND_INST: instantiating (fact_norm__minus__commute) with v_wa____,
% 251.40/43.09 | | | v_z____, tc_Complex_Ocomplex, all_1073_1, all_1073_0,
% 251.40/43.09 | | | simplifying with (198), (199), (200), (273), (274) gives:
% 251.40/43.09 | | | (2416) ? [v0: any] : ? [v1: $i] : ? [v2: $i] :
% 251.40/43.09 | | | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.09 | | | v0 & c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,
% 251.40/43.09 | | | v_z____, v_wa____) = v1 &
% 251.40/43.09 | | | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2
% 251.40/43.09 | | | & $i(v2) & $i(v1) & ( ~ (v0 = 0) | v2 = all_1073_0))
% 251.40/43.09 | | |
% 251.40/43.09 | | | GROUND_INST: instantiating (fact_eq__iff__diff__eq__0) with v_z____,
% 251.40/43.09 | | | v_wa____, tc_Complex_Ocomplex, all_1073_1, simplifying with
% 251.40/43.09 | | | (198), (199), (200), (274) gives:
% 251.40/43.09 | | | (2417) ? [v0: any] : ? [v1: $i] :
% 251.40/43.09 | | | (class_Groups_Oab__group__add(tc_Complex_Ocomplex) = v0 &
% 251.40/43.09 | | | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & $i(v1)
% 251.40/43.09 | | | & ( ~ (v0 = 0) | (( ~ (v1 = all_1073_1) | v_z____ = v_wa____)
% 251.40/43.09 | | | & ( ~ (v_z____ = v_wa____) | v1 = all_1073_1))))
% 251.40/43.09 | | |
% 251.40/43.09 | | | GROUND_INST: instantiating (fact_right__minus__eq) with v_z____, v_wa____,
% 251.40/43.09 | | | tc_Complex_Ocomplex, all_1073_1, simplifying with (198),
% 251.40/43.09 | | | (199), (200), (274) gives:
% 251.40/43.09 | | | (2418) ? [v0: any] : ? [v1: $i] :
% 251.40/43.09 | | | (class_Groups_Ogroup__add(tc_Complex_Ocomplex) = v0 &
% 251.40/43.09 | | | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & $i(v1)
% 251.40/43.09 | | | & ( ~ (v0 = 0) | (( ~ (v1 = all_1073_1) | v_z____ = v_wa____)
% 251.40/43.09 | | | & ( ~ (v_z____ = v_wa____) | v1 = all_1073_1))))
% 251.40/43.09 | | |
% 251.40/43.09 | | | GROUND_INST: instantiating (fact_norm__minus__commute) with all_1696_12,
% 251.40/43.09 | | | all_1498_4, tc_Complex_Ocomplex, all_1696_10, all_1696_9,
% 251.40/43.09 | | | simplifying with (198), (762), (2029), (2038), (2039) gives:
% 251.40/43.09 | | | (2419) ? [v0: any] : ? [v1: $i] : ? [v2: $i] :
% 251.40/43.09 | | | (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.09 | | | v0 & c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,
% 251.40/43.09 | | | all_1498_4, all_1696_12) = v1 &
% 251.40/43.09 | | | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2
% 251.40/43.09 | | | & $i(v2) & $i(v1) & ( ~ (v0 = 0) | v2 = all_1696_9))
% 251.40/43.09 | | |
% 251.40/43.09 | | | GROUND_INST: instantiating (fact_eq__iff__diff__eq__0) with all_1498_4,
% 251.40/43.09 | | | all_1696_12, tc_Complex_Ocomplex, all_1696_10, simplifying
% 251.40/43.09 | | | with (198), (2029), (2038), (2039) gives:
% 251.40/43.09 | | | (2420) ? [v0: any] : ? [v1: $i] :
% 251.40/43.09 | | | (class_Groups_Oab__group__add(tc_Complex_Ocomplex) = v0 &
% 251.40/43.09 | | | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & $i(v1)
% 251.40/43.09 | | | & ( ~ (v0 = 0) | (( ~ (v1 = all_1696_10) | all_1696_12 =
% 251.40/43.09 | | | all_1498_4) & ( ~ (all_1696_12 = all_1498_4) | v1 =
% 251.40/43.09 | | | all_1696_10))))
% 251.40/43.09 | | |
% 251.40/43.09 | | | GROUND_INST: instantiating (fact_right__minus__eq) with all_1498_4,
% 251.40/43.09 | | | all_1696_12, tc_Complex_Ocomplex, all_1696_10, simplifying
% 251.40/43.09 | | | with (198), (2029), (2038), (2039) gives:
% 251.40/43.09 | | | (2421) ? [v0: any] : ? [v1: $i] :
% 251.40/43.09 | | | (class_Groups_Ogroup__add(tc_Complex_Ocomplex) = v0 &
% 251.40/43.09 | | | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & $i(v1)
% 251.40/43.09 | | | & ( ~ (v0 = 0) | (( ~ (v1 = all_1696_10) | all_1696_12 =
% 251.40/43.09 | | | all_1498_4) & ( ~ (all_1696_12 = all_1498_4) | v1 =
% 251.40/43.09 | | | all_1696_10))))
% 251.40/43.09 | | |
% 251.40/43.09 | | | GROUND_INST: instantiating (713) with all_1459_5, v_p,
% 251.40/43.09 | | | tc_Complex_Ocomplex, all_1450_0, all_1459_2, simplifying with
% 251.40/43.09 | | | (198), (201), (530), (538), (1744) gives:
% 251.40/43.09 | | | (2422) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4:
% 251.40/43.09 | | | $i] : (c_Polynomial_Oorder(tc_Complex_Ocomplex, all_1459_5,
% 251.40/43.09 | | | v_p) = v4 & class_Rings_Oidom(tc_Complex_Ocomplex) = v0 &
% 251.40/43.09 | | | tc_Polynomial_Opoly(tc_Complex_Ocomplex) = v2 &
% 251.40/43.09 | | | c_Groups_Ozero__class_Ozero(v2) = v3 &
% 251.40/43.09 | | | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & $i(v4)
% 251.40/43.09 | | | & $i(v3) & $i(v2) & $i(v1) & ( ~ (v0 = 0) | (( ~ (v4 =
% 251.40/43.09 | | | all_1663_0) | ~ (v1 = all_1459_2) | v3 = v_p) & (v1 =
% 251.40/43.09 | | | all_1459_2 | (v4 = all_1663_0 & ~ (v3 = v_p))))))
% 251.40/43.09 | | |
% 251.40/43.09 | | | GROUND_INST: instantiating (713) with v_z____, v_p, tc_Complex_Ocomplex,
% 251.40/43.09 | | | all_1450_0, all_1498_4, simplifying with (198), (200), (201),
% 251.40/43.09 | | | (530), (1743) gives:
% 251.40/43.09 | | | (2423) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4:
% 251.40/43.09 | | | $i] : (c_Polynomial_Oorder(tc_Complex_Ocomplex, v_z____, v_p)
% 251.40/43.09 | | | = v4 & class_Rings_Oidom(tc_Complex_Ocomplex) = v0 &
% 251.40/43.09 | | | tc_Polynomial_Opoly(tc_Complex_Ocomplex) = v2 &
% 251.40/43.09 | | | c_Groups_Ozero__class_Ozero(v2) = v3 &
% 251.40/43.09 | | | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & $i(v4)
% 251.40/43.09 | | | & $i(v3) & $i(v2) & $i(v1) & ( ~ (v0 = 0) | (( ~ (v4 =
% 251.40/43.09 | | | all_1663_0) | ~ (v1 = all_1498_4) | v3 = v_p) & (v1 =
% 251.40/43.09 | | | all_1498_4 | (v4 = all_1663_0 & ~ (v3 = v_p))))))
% 251.40/43.09 | | |
% 251.40/43.09 | | | GROUND_INST: instantiating (713) with v_wa____, v_p, tc_Complex_Ocomplex,
% 251.40/43.09 | | | all_1450_0, all_1696_12, simplifying with (198), (199),
% 251.40/43.09 | | | (201), (530), (1741) gives:
% 251.40/43.09 | | | (2424) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4:
% 251.40/43.09 | | | $i] : (c_Polynomial_Oorder(tc_Complex_Ocomplex, v_wa____, v_p)
% 251.40/43.09 | | | = v4 & class_Rings_Oidom(tc_Complex_Ocomplex) = v0 &
% 251.40/43.09 | | | tc_Polynomial_Opoly(tc_Complex_Ocomplex) = v2 &
% 251.40/43.09 | | | c_Groups_Ozero__class_Ozero(v2) = v3 &
% 251.40/43.09 | | | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & $i(v4)
% 251.40/43.09 | | | & $i(v3) & $i(v2) & $i(v1) & ( ~ (v0 = 0) | (( ~ (v4 =
% 251.40/43.09 | | | all_1663_0) | ~ (v1 = all_1696_12) | v3 = v_p) & (v1
% 251.40/43.09 | | | = all_1696_12 | (v4 = all_1663_0 & ~ (v3 = v_p))))))
% 251.40/43.09 | | |
% 251.40/43.09 | | | GROUND_INST: instantiating (16) with all_1039_0, tc_RealDef_Oreal, 0,
% 251.40/43.09 | | | simplifying with (191), (197), (1731), (1746) gives:
% 251.40/43.09 | | | (2425) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] :
% 251.40/43.09 | | | (class_Int_Onumber__ring(tc_RealDef_Oreal) = v0 &
% 251.40/43.09 | | | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1039_0)
% 251.40/43.09 | | | = v2 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 251.40/43.09 | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) = v3 &
% 251.40/43.09 | | | $i(v2) & $i(v1) & ( ~ (v0 = 0) | v3 = 0))
% 251.40/43.09 | | |
% 251.40/43.09 | | | GROUND_INST: instantiating (15) with c_Int_OPls, tc_RealDef_Oreal,
% 251.40/43.09 | | | all_933_0, simplifying with (191), (197), (221), (1748)
% 251.40/43.09 | | | gives:
% 251.40/43.09 | | | (2426) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] :
% 251.40/43.09 | | | (class_Int_Onumber__ring(tc_RealDef_Oreal) = v0 &
% 251.40/43.09 | | | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OPls)
% 251.40/43.09 | | | = v1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v2 &
% 251.40/43.09 | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) = v3 &
% 251.40/43.09 | | | $i(v2) & $i(v1) & ( ~ (v0 = 0) | (( ~ (v3 = 0) | all_933_0 =
% 251.40/43.09 | | | 0) & ( ~ (all_933_0 = 0) | v3 = 0))))
% 251.40/43.09 | | |
% 251.40/43.09 | | | GROUND_INST: instantiating (16) with c_Int_OPls, tc_RealDef_Oreal,
% 251.40/43.09 | | | all_933_0, simplifying with (191), (197), (221), (1748)
% 251.40/43.09 | | | gives:
% 251.40/43.09 | | | (2427) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] :
% 251.40/43.09 | | | (class_Int_Onumber__ring(tc_RealDef_Oreal) = v0 &
% 251.40/43.09 | | | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OPls)
% 251.40/43.09 | | | = v2 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 251.40/43.09 | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) = v3 &
% 251.40/43.09 | | | $i(v2) & $i(v1) & ( ~ (v0 = 0) | (( ~ (v3 = 0) | all_933_0 =
% 251.40/43.09 | | | 0) & ( ~ (all_933_0 = 0) | v3 = 0))))
% 251.40/43.09 | | |
% 251.40/43.09 | | | GROUND_INST: instantiating (125) with all_975_0, all_1202_0, simplifying
% 251.40/43.09 | | | with (1747), (2330), (2338) gives:
% 251.40/43.09 | | | (2428) all_1202_0 = all_975_0 | ? [v0: int] : ( ~ (v0 = 0) &
% 251.40/43.09 | | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 251.40/43.09 | | | all_1202_0, all_975_0) = v0)
% 251.40/43.09 | | |
% 251.40/43.09 | | | GROUND_INST: instantiating (47) with c_Int_OPls, tc_RealDef_Oreal, 0,
% 251.40/43.09 | | | simplifying with (191), (197), (1663), (1748) gives:
% 251.40/43.09 | | | (2429) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] :
% 251.40/43.09 | | | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v2) =
% 251.40/43.09 | | | v3 & class_Int_Onumber__ring(tc_RealDef_Oreal) = v0 &
% 251.40/43.09 | | | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OPls)
% 251.40/43.09 | | | = v1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v2 &
% 251.40/43.09 | | | $i(v2) & $i(v1) & ( ~ (v0 = 0) | v3 = 0))
% 251.40/43.09 | | |
% 251.40/43.09 | | | GROUND_INST: instantiating (48) with c_Int_OPls, tc_RealDef_Oreal, 0,
% 251.40/43.09 | | | simplifying with (191), (197), (1663), (1748) gives:
% 251.40/43.09 | | | (2430) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] :
% 251.40/43.09 | | | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v2) =
% 251.40/43.09 | | | v3 & class_Int_Onumber__ring(tc_RealDef_Oreal) = v0 &
% 251.40/43.09 | | | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OPls)
% 251.40/43.09 | | | = v2 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 251.40/43.09 | | | $i(v2) & $i(v1) & ( ~ (v0 = 0) | v3 = 0))
% 251.40/43.09 | | |
% 251.40/43.09 | | | GROUND_INST: instantiating (48) with all_1039_0, tc_RealDef_Oreal, 0,
% 251.40/43.09 | | | simplifying with (191), (197), (1662), (1746) gives:
% 251.40/43.09 | | | (2431) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] :
% 251.40/43.09 | | | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v2) =
% 251.40/43.09 | | | v3 & class_Int_Onumber__ring(tc_RealDef_Oreal) = v0 &
% 251.40/43.09 | | | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1039_0)
% 251.40/43.09 | | | = v2 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 251.40/43.09 | | | $i(v2) & $i(v1) & ( ~ (v0 = 0) | v3 = 0))
% 251.40/43.09 | | |
% 251.40/43.09 | | | GROUND_INST: instantiating (48) with all_1194_0, tc_RealDef_Oreal, 0,
% 251.40/43.09 | | | simplifying with (191), (197), (1661), (2245) gives:
% 251.40/43.10 | | | (2432) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] :
% 251.40/43.10 | | | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v2) =
% 251.40/43.10 | | | v3 & class_Int_Onumber__ring(tc_RealDef_Oreal) = v0 &
% 251.40/43.10 | | | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1194_0)
% 251.40/43.10 | | | = v2 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 251.40/43.10 | | | $i(v2) & $i(v1) & ( ~ (v0 = 0) | v3 = 0))
% 251.40/43.10 | | |
% 251.40/43.10 | | | GROUND_INST: instantiating (48) with all_1266_0, tc_RealDef_Oreal, 0,
% 251.40/43.10 | | | simplifying with (191), (197), (382), (1660) gives:
% 251.40/43.10 | | | (2433) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] :
% 251.40/43.10 | | | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v2) =
% 251.40/43.10 | | | v3 & class_Int_Onumber__ring(tc_RealDef_Oreal) = v0 &
% 251.40/43.10 | | | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1266_0)
% 251.40/43.10 | | | = v2 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 251.40/43.10 | | | $i(v2) & $i(v1) & ( ~ (v0 = 0) | v3 = 0))
% 251.40/43.10 | | |
% 251.40/43.10 | | | GROUND_INST: instantiating (fact_zero__neq__one) with tc_Complex_Ocomplex,
% 251.40/43.10 | | | simplifying with (195), (198) gives:
% 251.40/43.10 | | | (2434) ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 251.40/43.10 | | | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v1 &
% 251.40/43.10 | | | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 & $i(v1)
% 251.40/43.10 | | | & $i(v0))
% 251.40/43.10 | | |
% 251.40/43.10 | | | GROUND_INST: instantiating (fact_one__neq__zero) with tc_Complex_Ocomplex,
% 251.40/43.10 | | | simplifying with (195), (198) gives:
% 251.40/43.10 | | | (2435) ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 251.40/43.10 | | | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 251.40/43.10 | | | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & $i(v1)
% 251.40/43.10 | | | & $i(v0))
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2401) with fresh symbols all_2192_0, all_2192_1
% 251.40/43.10 | | | gives:
% 251.40/43.10 | | | (2436) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2192_1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 251.40/43.10 | | | all_1459_4, all_1250_0) = all_2192_0 & ( ~ (all_2192_0 = 0) |
% 251.40/43.10 | | | ~ (all_2192_1 = 0))
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2436) implies:
% 251.40/43.10 | | | (2437) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2192_1
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2408) with fresh symbols all_2194_0, all_2194_1
% 251.40/43.10 | | | gives:
% 251.40/43.10 | | | (2438) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1253_0,
% 251.40/43.10 | | | all_1498_3) = all_2194_0 &
% 251.40/43.10 | | | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2194_1 & ( ~ (all_2194_1 = 0) | all_2194_0 = 0)
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2438) implies:
% 251.40/43.10 | | | (2439) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2194_1
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2405) with fresh symbols all_2196_0, all_2196_1
% 251.40/43.10 | | | gives:
% 251.40/43.10 | | | (2440) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2196_1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 251.40/43.10 | | | all_1459_1, all_1250_0) = all_2196_0 & ( ~ (all_2196_0 = 0) |
% 251.40/43.10 | | | ~ (all_2196_1 = 0))
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2440) implies:
% 251.40/43.10 | | | (2441) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2196_1
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2398) with fresh symbols all_2204_0, all_2204_1
% 251.40/43.10 | | | gives:
% 251.40/43.10 | | | (2442) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1253_0,
% 251.40/43.10 | | | all_1459_4) = all_2204_0 &
% 251.40/43.10 | | | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2204_1 & ( ~ (all_2204_1 = 0) | all_2204_0 = 0)
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2442) implies:
% 251.40/43.10 | | | (2443) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2204_1
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2395) with fresh symbols all_2206_0, all_2206_1
% 251.40/43.10 | | | gives:
% 251.40/43.10 | | | (2444) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2206_1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 251.40/43.10 | | | all_1073_0, all_1250_0) = all_2206_0 & ( ~ (all_2206_0 = 0) |
% 251.40/43.10 | | | ~ (all_2206_1 = 0))
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2444) implies:
% 251.40/43.10 | | | (2445) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2206_1
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2389) with fresh symbols all_2208_0, all_2208_1
% 251.40/43.10 | | | gives:
% 251.40/43.10 | | | (2446) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2208_1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 251.40/43.10 | | | all_973_0, all_1250_0) = all_2208_0 & ( ~ (all_2208_0 = 0) |
% 251.40/43.10 | | | ~ (all_2208_1 = 0))
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2446) implies:
% 251.40/43.10 | | | (2447) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2208_1
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2392) with fresh symbols all_2210_0, all_2210_1
% 251.40/43.10 | | | gives:
% 251.40/43.10 | | | (2448) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1253_0,
% 251.40/43.10 | | | all_1073_0) = all_2210_0 &
% 251.40/43.10 | | | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2210_1 & ( ~ (all_2210_1 = 0) | all_2210_0 = 0)
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2448) implies:
% 251.40/43.10 | | | (2449) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2210_1
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2386) with fresh symbols all_2214_0, all_2214_1
% 251.40/43.10 | | | gives:
% 251.40/43.10 | | | (2450) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1253_0,
% 251.40/43.10 | | | all_973_0) = all_2214_0 &
% 251.40/43.10 | | | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2214_1 & ( ~ (all_2214_1 = 0) | all_2214_0 = 0)
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2450) implies:
% 251.40/43.10 | | | (2451) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2214_1
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2415) with fresh symbols all_2222_0, all_2222_1
% 251.40/43.10 | | | gives:
% 251.40/43.10 | | | (2452) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2222_1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 251.40/43.10 | | | all_1696_9, all_1250_0) = all_2222_0 & ( ~ (all_2222_0 = 0) |
% 251.40/43.10 | | | ~ (all_2222_1 = 0))
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2452) implies:
% 251.40/43.10 | | | (2453) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2222_1
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2388) with fresh symbols all_2262_0, all_2262_1
% 251.40/43.10 | | | gives:
% 251.40/43.10 | | | (2454) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2262_1 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,
% 251.40/43.10 | | | all_973_0) = all_2262_0 & $i(all_2262_0) & ( ~ (all_2262_1 =
% 251.40/43.10 | | | 0) | all_2262_0 = all_973_0)
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2454) implies:
% 251.40/43.10 | | | (2455) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2262_1
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2400) with fresh symbols all_2274_0, all_2274_1
% 251.40/43.10 | | | gives:
% 251.40/43.10 | | | (2456) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2274_1 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,
% 251.40/43.10 | | | all_1459_4) = all_2274_0 & $i(all_2274_0) & ( ~ (all_2274_1 =
% 251.40/43.10 | | | 0) | all_2274_0 = all_1459_4)
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2456) implies:
% 251.40/43.10 | | | (2457) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2274_1
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2435) with fresh symbols all_2276_0, all_2276_1
% 251.40/43.10 | | | gives:
% 251.40/43.10 | | | (2458) ~ (all_2276_0 = all_2276_1) &
% 251.40/43.10 | | | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_2276_1 &
% 251.40/43.10 | | | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2276_0 &
% 251.40/43.10 | | | $i(all_2276_0) & $i(all_2276_1)
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2458) implies:
% 251.40/43.10 | | | (2459) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2276_0
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2434) with fresh symbols all_2278_0, all_2278_1
% 251.40/43.10 | | | gives:
% 251.40/43.10 | | | (2460) ~ (all_2278_0 = all_2278_1) &
% 251.40/43.10 | | | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_2278_0 &
% 251.40/43.10 | | | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2278_1 &
% 251.40/43.10 | | | $i(all_2278_0) & $i(all_2278_1)
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2460) implies:
% 251.40/43.10 | | | (2461) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2278_1
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2410) with fresh symbols all_2286_0, all_2286_1
% 251.40/43.10 | | | gives:
% 251.40/43.10 | | | (2462) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2286_1 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,
% 251.40/43.10 | | | all_1498_3) = all_2286_0 & $i(all_2286_0) & ( ~ (all_2286_1 =
% 251.40/43.10 | | | 0) | all_2286_0 = all_1498_3)
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2462) implies:
% 251.40/43.10 | | | (2463) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2286_1
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2394) with fresh symbols all_2320_0, all_2320_1
% 251.40/43.10 | | | gives:
% 251.40/43.10 | | | (2464) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2320_1 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,
% 251.40/43.10 | | | all_1073_0) = all_2320_0 & $i(all_2320_0) & ( ~ (all_2320_1 =
% 251.40/43.10 | | | 0) | all_2320_0 = all_1073_0)
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2464) implies:
% 251.40/43.10 | | | (2465) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2320_1
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2414) with fresh symbols all_2322_0, all_2322_1
% 251.40/43.10 | | | gives:
% 251.40/43.10 | | | (2466) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2322_1 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,
% 251.40/43.10 | | | all_1696_9) = all_2322_0 & $i(all_2322_0) & ( ~ (all_2322_1 =
% 251.40/43.10 | | | 0) | all_2322_0 = all_1696_9)
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2466) implies:
% 251.40/43.10 | | | (2467) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2322_1
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2419) with fresh symbols all_2376_0, all_2376_1,
% 251.40/43.10 | | | all_2376_2 gives:
% 251.40/43.10 | | | (2468) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2376_2 & c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,
% 251.40/43.10 | | | all_1498_4, all_1696_12) = all_2376_1 &
% 251.40/43.10 | | | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_2376_1)
% 251.40/43.10 | | | = all_2376_0 & $i(all_2376_0) & $i(all_2376_1) & ( ~ (all_2376_2
% 251.40/43.10 | | | = 0) | all_2376_0 = all_1696_9)
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2468) implies:
% 251.40/43.10 | | | (2469) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2376_2
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2416) with fresh symbols all_2392_0, all_2392_1,
% 251.40/43.10 | | | all_2392_2 gives:
% 251.40/43.10 | | | (2470) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2392_2 & c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,
% 251.40/43.10 | | | v_z____, v_wa____) = all_2392_1 &
% 251.40/43.10 | | | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_2392_1)
% 251.40/43.10 | | | = all_2392_0 & $i(all_2392_0) & $i(all_2392_1) & ( ~ (all_2392_2
% 251.40/43.10 | | | = 0) | all_2392_0 = all_1073_0)
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2470) implies:
% 251.40/43.10 | | | (2471) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2392_2
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2421) with fresh symbols all_2394_0, all_2394_1
% 251.40/43.10 | | | gives:
% 251.40/43.10 | | | (2472) class_Groups_Ogroup__add(tc_Complex_Ocomplex) = all_2394_1 &
% 251.40/43.10 | | | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2394_0 &
% 251.40/43.10 | | | $i(all_2394_0) & ( ~ (all_2394_1 = 0) | (( ~ (all_2394_0 =
% 251.40/43.10 | | | all_1696_10) | all_1696_12 = all_1498_4) & ( ~
% 251.40/43.10 | | | (all_1696_12 = all_1498_4) | all_2394_0 = all_1696_10)))
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2472) implies:
% 251.40/43.10 | | | (2473) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2394_0
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2418) with fresh symbols all_2402_0, all_2402_1
% 251.40/43.10 | | | gives:
% 251.40/43.10 | | | (2474) class_Groups_Ogroup__add(tc_Complex_Ocomplex) = all_2402_1 &
% 251.40/43.10 | | | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2402_0 &
% 251.40/43.10 | | | $i(all_2402_0) & ( ~ (all_2402_1 = 0) | (( ~ (all_2402_0 =
% 251.40/43.10 | | | all_1073_1) | v_z____ = v_wa____) & ( ~ (v_z____ =
% 251.40/43.10 | | | v_wa____) | all_2402_0 = all_1073_1)))
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2474) implies:
% 251.40/43.10 | | | (2475) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2402_0
% 251.40/43.10 | | | (2476) class_Groups_Ogroup__add(tc_Complex_Ocomplex) = all_2402_1
% 251.40/43.10 | | | (2477) ~ (all_2402_1 = 0) | (( ~ (all_2402_0 = all_1073_1) | v_z____ =
% 251.40/43.10 | | | v_wa____) & ( ~ (v_z____ = v_wa____) | all_2402_0 =
% 251.40/43.10 | | | all_1073_1))
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2425) with fresh symbols all_2406_0, all_2406_1,
% 251.40/43.10 | | | all_2406_2, all_2406_3 gives:
% 251.40/43.10 | | | (2478) class_Int_Onumber__ring(tc_RealDef_Oreal) = all_2406_3 &
% 251.40/43.10 | | | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1039_0) =
% 251.40/43.10 | | | all_2406_1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 251.40/43.10 | | | all_2406_2 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 251.40/43.10 | | | all_2406_2, all_2406_1) = all_2406_0 & $i(all_2406_1) &
% 251.40/43.10 | | | $i(all_2406_2) & ( ~ (all_2406_3 = 0) | all_2406_0 = 0)
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2478) implies:
% 251.40/43.10 | | | (2479) class_Int_Onumber__ring(tc_RealDef_Oreal) = all_2406_3
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2433) with fresh symbols all_2416_0, all_2416_1,
% 251.40/43.10 | | | all_2416_2, all_2416_3 gives:
% 251.40/43.10 | | | (2480) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2416_2,
% 251.40/43.10 | | | all_2416_1) = all_2416_0 &
% 251.40/43.10 | | | class_Int_Onumber__ring(tc_RealDef_Oreal) = all_2416_3 &
% 251.40/43.10 | | | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1266_0) =
% 251.40/43.10 | | | all_2416_1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 251.40/43.10 | | | all_2416_2 & $i(all_2416_1) & $i(all_2416_2) & ( ~ (all_2416_3 =
% 251.40/43.10 | | | 0) | all_2416_0 = 0)
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2480) implies:
% 251.40/43.10 | | | (2481) class_Int_Onumber__ring(tc_RealDef_Oreal) = all_2416_3
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2399) with fresh symbols all_2438_0, all_2438_1
% 251.40/43.10 | | | gives:
% 251.40/43.10 | | | (2482) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2438_1 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2438_0 & $i(all_2438_0) & ( ~ (all_2438_1 = 0) | (( ~
% 251.40/43.10 | | | (all_2438_0 = all_1459_5) | all_1459_4 = all_1409_0) & ( ~
% 251.40/43.10 | | | (all_1459_4 = all_1409_0) | all_2438_0 = all_1459_5)))
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2482) implies:
% 251.40/43.10 | | | (2483) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2438_0
% 251.40/43.10 | | | (2484) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2438_1
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2417) with fresh symbols all_2452_0, all_2452_1
% 251.40/43.10 | | | gives:
% 251.40/43.10 | | | (2485) class_Groups_Oab__group__add(tc_Complex_Ocomplex) = all_2452_1 &
% 251.40/43.10 | | | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2452_0 &
% 251.40/43.10 | | | $i(all_2452_0) & ( ~ (all_2452_1 = 0) | (( ~ (all_2452_0 =
% 251.40/43.10 | | | all_1073_1) | v_z____ = v_wa____) & ( ~ (v_z____ =
% 251.40/43.10 | | | v_wa____) | all_2452_0 = all_1073_1)))
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2485) implies:
% 251.40/43.10 | | | (2486) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2452_0
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2420) with fresh symbols all_2454_0, all_2454_1
% 251.40/43.10 | | | gives:
% 251.40/43.10 | | | (2487) class_Groups_Oab__group__add(tc_Complex_Ocomplex) = all_2454_1 &
% 251.40/43.10 | | | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2454_0 &
% 251.40/43.10 | | | $i(all_2454_0) & ( ~ (all_2454_1 = 0) | (( ~ (all_2454_0 =
% 251.40/43.10 | | | all_1696_10) | all_1696_12 = all_1498_4) & ( ~
% 251.40/43.10 | | | (all_1696_12 = all_1498_4) | all_2454_0 = all_1696_10)))
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2487) implies:
% 251.40/43.10 | | | (2488) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2454_0
% 251.40/43.10 | | | (2489) class_Groups_Oab__group__add(tc_Complex_Ocomplex) = all_2454_1
% 251.40/43.10 | | | (2490) ~ (all_2454_1 = 0) | (( ~ (all_2454_0 = all_1696_10) |
% 251.40/43.10 | | | all_1696_12 = all_1498_4) & ( ~ (all_1696_12 = all_1498_4) |
% 251.40/43.10 | | | all_2454_0 = all_1696_10))
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2387) with fresh symbols all_2456_0, all_2456_1
% 251.40/43.10 | | | gives:
% 251.40/43.10 | | | (2491) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2456_1 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2456_0 & $i(all_2456_0) & ( ~ (all_2456_1 = 0) | (( ~
% 251.40/43.10 | | | (all_2456_0 = v_w____) | all_1409_0 = all_973_0) & ( ~
% 251.40/43.10 | | | (all_1409_0 = all_973_0) | all_2456_0 = v_w____)))
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2491) implies:
% 251.40/43.10 | | | (2492) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2456_0
% 251.40/43.10 | | | (2493) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2456_1
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2431) with fresh symbols all_2458_0, all_2458_1,
% 251.40/43.10 | | | all_2458_2, all_2458_3 gives:
% 251.40/43.10 | | | (2494) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2458_2,
% 251.40/43.10 | | | all_2458_1) = all_2458_0 &
% 251.40/43.10 | | | class_Int_Onumber__ring(tc_RealDef_Oreal) = all_2458_3 &
% 251.40/43.10 | | | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1039_0) =
% 251.40/43.10 | | | all_2458_1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 251.40/43.10 | | | all_2458_2 & $i(all_2458_1) & $i(all_2458_2) & ( ~ (all_2458_3 =
% 251.40/43.10 | | | 0) | all_2458_0 = 0)
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2494) implies:
% 251.40/43.10 | | | (2495) class_Int_Onumber__ring(tc_RealDef_Oreal) = all_2458_3
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2409) with fresh symbols all_2472_0, all_2472_1
% 251.40/43.10 | | | gives:
% 251.40/43.10 | | | (2496) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2472_1 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2472_0 & $i(all_2472_0) & ( ~ (all_2472_1 = 0) | (( ~
% 251.40/43.10 | | | (all_2472_0 = all_1498_4) | all_1498_3 = all_1409_0) & ( ~
% 251.40/43.10 | | | (all_1498_3 = all_1409_0) | all_2472_0 = all_1498_4)))
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2496) implies:
% 251.40/43.10 | | | (2497) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2472_0
% 251.40/43.10 | | | (2498) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2472_1
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2430) with fresh symbols all_2476_0, all_2476_1,
% 251.40/43.10 | | | all_2476_2, all_2476_3 gives:
% 251.40/43.10 | | | (2499) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2476_2,
% 251.40/43.10 | | | all_2476_1) = all_2476_0 &
% 251.40/43.10 | | | class_Int_Onumber__ring(tc_RealDef_Oreal) = all_2476_3 &
% 251.40/43.10 | | | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OPls) =
% 251.40/43.10 | | | all_2476_1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 251.40/43.10 | | | all_2476_2 & $i(all_2476_1) & $i(all_2476_2) & ( ~ (all_2476_3 =
% 251.40/43.10 | | | 0) | all_2476_0 = 0)
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2499) implies:
% 251.40/43.10 | | | (2500) class_Int_Onumber__ring(tc_RealDef_Oreal) = all_2476_3
% 251.40/43.10 | | | (2501) ~ (all_2476_3 = 0) | all_2476_0 = 0
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2429) with fresh symbols all_2500_0, all_2500_1,
% 251.40/43.10 | | | all_2500_2, all_2500_3 gives:
% 251.40/43.10 | | | (2502) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2500_2,
% 251.40/43.10 | | | all_2500_1) = all_2500_0 &
% 251.40/43.10 | | | class_Int_Onumber__ring(tc_RealDef_Oreal) = all_2500_3 &
% 251.40/43.10 | | | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OPls) =
% 251.40/43.10 | | | all_2500_2 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 251.40/43.10 | | | all_2500_1 & $i(all_2500_1) & $i(all_2500_2) & ( ~ (all_2500_3 =
% 251.40/43.10 | | | 0) | all_2500_0 = 0)
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2502) implies:
% 251.40/43.10 | | | (2503) class_Int_Onumber__ring(tc_RealDef_Oreal) = all_2500_3
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2413) with fresh symbols all_2508_0, all_2508_1
% 251.40/43.10 | | | gives:
% 251.40/43.10 | | | (2504) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2508_1 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2508_0 & $i(all_2508_0) & ( ~ (all_2508_1 = 0) | (( ~
% 251.40/43.10 | | | (all_2508_0 = all_1696_10) | all_1696_9 = all_1409_0) & (
% 251.40/43.10 | | | ~ (all_1696_9 = all_1409_0) | all_2508_0 = all_1696_10)))
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2504) implies:
% 251.40/43.10 | | | (2505) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2508_0
% 251.40/43.10 | | | (2506) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2508_1
% 251.40/43.10 | | | (2507) ~ (all_2508_1 = 0) | (( ~ (all_2508_0 = all_1696_10) |
% 251.40/43.10 | | | all_1696_9 = all_1409_0) & ( ~ (all_1696_9 = all_1409_0) |
% 251.40/43.10 | | | all_2508_0 = all_1696_10))
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2404) with fresh symbols all_2520_0, all_2520_1
% 251.40/43.10 | | | gives:
% 251.40/43.10 | | | (2508) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2520_1 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2520_0 & $i(all_2520_0) & ( ~ (all_2520_1 = 0) | (( ~
% 251.40/43.10 | | | (all_2520_0 = all_1459_2) | all_1459_1 = all_1409_0) & ( ~
% 251.40/43.10 | | | (all_1459_1 = all_1409_0) | all_2520_0 = all_1459_2)))
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2508) implies:
% 251.40/43.10 | | | (2509) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2520_0
% 251.40/43.10 | | | (2510) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2520_1
% 251.40/43.10 | | |
% 251.40/43.10 | | | DELTA: instantiating (2393) with fresh symbols all_2534_0, all_2534_1
% 251.40/43.10 | | | gives:
% 251.40/43.10 | | | (2511) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2534_1 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 251.40/43.10 | | | all_2534_0 & $i(all_2534_0) & ( ~ (all_2534_1 = 0) | (( ~
% 251.40/43.10 | | | (all_2534_0 = all_1073_1) | all_1409_0 = all_1073_0) & ( ~
% 251.40/43.10 | | | (all_1409_0 = all_1073_0) | all_2534_0 = all_1073_1)))
% 251.40/43.10 | | |
% 251.40/43.10 | | | ALPHA: (2511) implies:
% 251.40/43.11 | | | (2512) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2534_0
% 251.40/43.11 | | | (2513) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2534_1
% 251.40/43.11 | | |
% 251.40/43.11 | | | DELTA: instantiating (2432) with fresh symbols all_2536_0, all_2536_1,
% 251.40/43.11 | | | all_2536_2, all_2536_3 gives:
% 251.40/43.11 | | | (2514) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2536_2,
% 251.40/43.11 | | | all_2536_1) = all_2536_0 &
% 251.40/43.11 | | | class_Int_Onumber__ring(tc_RealDef_Oreal) = all_2536_3 &
% 251.40/43.11 | | | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1194_0) =
% 251.40/43.11 | | | all_2536_1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 251.40/43.11 | | | all_2536_2 & $i(all_2536_1) & $i(all_2536_2) & ( ~ (all_2536_3 =
% 251.40/43.11 | | | 0) | all_2536_0 = 0)
% 251.40/43.11 | | |
% 251.40/43.11 | | | ALPHA: (2514) implies:
% 251.40/43.11 | | | (2515) class_Int_Onumber__ring(tc_RealDef_Oreal) = all_2536_3
% 251.40/43.11 | | |
% 251.40/43.11 | | | DELTA: instantiating (2384) with fresh symbols all_2542_0, all_2542_1,
% 251.40/43.11 | | | all_2542_2 gives:
% 251.40/43.11 | | | (2516) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_973_0,
% 251.40/43.11 | | | all_1444_0) = all_2542_1 &
% 251.40/43.11 | | | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2542_2 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2542_0 & $i(all_2542_0) & ( ~ (all_2542_2 = 0) | (( ~
% 251.40/43.11 | | | (all_2542_0 = v_w____) | all_2542_1 = 0) & ( ~ (all_2542_1
% 251.40/43.11 | | | = 0) | all_2542_0 = v_w____)))
% 251.40/43.11 | | |
% 251.40/43.11 | | | ALPHA: (2516) implies:
% 251.40/43.11 | | | (2517) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2542_0
% 251.40/43.11 | | |
% 251.40/43.11 | | | DELTA: instantiating (2403) with fresh symbols all_2544_0, all_2544_1,
% 251.40/43.11 | | | all_2544_2 gives:
% 251.40/43.11 | | | (2518) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2544_2 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2544_0 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 251.40/43.11 | | | all_1435_0, all_1459_1) = all_2544_1 & $i(all_2544_0) & ( ~
% 251.40/43.11 | | | (all_2544_2 = 0) | (( ~ (all_2544_0 = all_1459_2) | ~
% 251.40/43.11 | | | (all_2544_1 = 0)) & (all_2544_0 = all_1459_2 | all_2544_1
% 251.40/43.11 | | | = 0)))
% 251.40/43.11 | | |
% 251.40/43.11 | | | ALPHA: (2518) implies:
% 251.40/43.11 | | | (2519) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2544_0
% 251.40/43.11 | | | (2520) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2544_2
% 251.40/43.11 | | |
% 251.40/43.11 | | | DELTA: instantiating (2402) with fresh symbols all_2546_0, all_2546_1,
% 251.40/43.11 | | | all_2546_2 gives:
% 251.40/43.11 | | | (2521) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1459_1,
% 251.40/43.11 | | | all_1444_0) = all_2546_1 &
% 251.40/43.11 | | | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2546_2 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2546_0 & $i(all_2546_0) & ( ~ (all_2546_2 = 0) | (( ~
% 251.40/43.11 | | | (all_2546_0 = all_1459_2) | all_2546_1 = 0) & ( ~
% 251.40/43.11 | | | (all_2546_1 = 0) | all_2546_0 = all_1459_2)))
% 251.40/43.11 | | |
% 251.40/43.11 | | | ALPHA: (2521) implies:
% 251.40/43.11 | | | (2522) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2546_0
% 251.40/43.11 | | | (2523) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2546_2
% 251.40/43.11 | | |
% 251.40/43.11 | | | DELTA: instantiating (2397) with fresh symbols all_2548_0, all_2548_1,
% 251.40/43.11 | | | all_2548_2 gives:
% 251.40/43.11 | | | (2524) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2548_2 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2548_0 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 251.40/43.11 | | | all_1435_0, all_1459_4) = all_2548_1 & $i(all_2548_0) & ( ~
% 251.40/43.11 | | | (all_2548_2 = 0) | (( ~ (all_2548_0 = all_1459_5) | ~
% 251.40/43.11 | | | (all_2548_1 = 0)) & (all_2548_0 = all_1459_5 | all_2548_1
% 251.40/43.11 | | | = 0)))
% 251.40/43.11 | | |
% 251.40/43.11 | | | ALPHA: (2524) implies:
% 251.40/43.11 | | | (2525) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2548_0
% 251.40/43.11 | | | (2526) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2548_2
% 251.40/43.11 | | |
% 251.40/43.11 | | | DELTA: instantiating (2390) with fresh symbols all_2550_0, all_2550_1,
% 251.40/43.11 | | | all_2550_2 gives:
% 251.40/43.11 | | | (2527) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1073_0,
% 251.40/43.11 | | | all_1444_0) = all_2550_1 &
% 251.40/43.11 | | | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2550_2 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2550_0 & $i(all_2550_0) & ( ~ (all_2550_2 = 0) | (( ~
% 251.40/43.11 | | | (all_2550_0 = all_1073_1) | all_2550_1 = 0) & ( ~
% 251.40/43.11 | | | (all_2550_1 = 0) | all_2550_0 = all_1073_1)))
% 251.40/43.11 | | |
% 251.40/43.11 | | | ALPHA: (2527) implies:
% 251.40/43.11 | | | (2528) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2550_0
% 251.40/43.11 | | | (2529) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2550_2
% 251.40/43.11 | | |
% 251.40/43.11 | | | DELTA: instantiating (2385) with fresh symbols all_2552_0, all_2552_1,
% 251.40/43.11 | | | all_2552_2 gives:
% 251.40/43.11 | | | (2530) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2552_2 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2552_0 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 251.40/43.11 | | | all_1435_0, all_973_0) = all_2552_1 & $i(all_2552_0) & ( ~
% 251.40/43.11 | | | (all_2552_2 = 0) | (( ~ (all_2552_0 = v_w____) | ~
% 251.40/43.11 | | | (all_2552_1 = 0)) & (all_2552_0 = v_w____ | all_2552_1 =
% 251.40/43.11 | | | 0)))
% 251.40/43.11 | | |
% 251.40/43.11 | | | ALPHA: (2530) implies:
% 251.40/43.11 | | | (2531) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2552_0
% 251.40/43.11 | | | (2532) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2552_2
% 251.40/43.11 | | |
% 251.40/43.11 | | | DELTA: instantiating (2396) with fresh symbols all_2554_0, all_2554_1,
% 251.40/43.11 | | | all_2554_2 gives:
% 251.40/43.11 | | | (2533) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1459_4,
% 251.40/43.11 | | | all_1444_0) = all_2554_1 &
% 251.40/43.11 | | | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2554_2 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2554_0 & $i(all_2554_0) & ( ~ (all_2554_2 = 0) | (( ~
% 251.40/43.11 | | | (all_2554_0 = all_1459_5) | all_2554_1 = 0) & ( ~
% 251.40/43.11 | | | (all_2554_1 = 0) | all_2554_0 = all_1459_5)))
% 251.40/43.11 | | |
% 251.40/43.11 | | | ALPHA: (2533) implies:
% 251.40/43.11 | | | (2534) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2554_0
% 251.40/43.11 | | | (2535) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2554_2
% 251.40/43.11 | | |
% 251.40/43.11 | | | DELTA: instantiating (2406) with fresh symbols all_2556_0, all_2556_1,
% 251.40/43.11 | | | all_2556_2 gives:
% 251.40/43.11 | | | (2536) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1498_3,
% 251.40/43.11 | | | all_1444_0) = all_2556_1 &
% 251.40/43.11 | | | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2556_2 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2556_0 & $i(all_2556_0) & ( ~ (all_2556_2 = 0) | (( ~
% 251.40/43.11 | | | (all_2556_0 = all_1498_4) | all_2556_1 = 0) & ( ~
% 251.40/43.11 | | | (all_2556_1 = 0) | all_2556_0 = all_1498_4)))
% 251.40/43.11 | | |
% 251.40/43.11 | | | ALPHA: (2536) implies:
% 251.40/43.11 | | | (2537) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2556_0
% 251.40/43.11 | | |
% 251.40/43.11 | | | DELTA: instantiating (2391) with fresh symbols all_2558_0, all_2558_1,
% 251.40/43.11 | | | all_2558_2 gives:
% 251.40/43.11 | | | (2538) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2558_2 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2558_0 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 251.40/43.11 | | | all_1435_0, all_1073_0) = all_2558_1 & $i(all_2558_0) & ( ~
% 251.40/43.11 | | | (all_2558_2 = 0) | (( ~ (all_2558_0 = all_1073_1) | ~
% 251.40/43.11 | | | (all_2558_1 = 0)) & (all_2558_0 = all_1073_1 | all_2558_1
% 251.40/43.11 | | | = 0)))
% 251.40/43.11 | | |
% 251.40/43.11 | | | ALPHA: (2538) implies:
% 251.40/43.11 | | | (2539) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1435_0,
% 251.40/43.11 | | | all_1073_0) = all_2558_1
% 251.40/43.11 | | | (2540) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2558_0
% 251.40/43.11 | | | (2541) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2558_2
% 251.40/43.11 | | | (2542) ~ (all_2558_2 = 0) | (( ~ (all_2558_0 = all_1073_1) | ~
% 251.40/43.11 | | | (all_2558_1 = 0)) & (all_2558_0 = all_1073_1 | all_2558_1 =
% 251.40/43.11 | | | 0))
% 251.40/43.11 | | |
% 251.40/43.11 | | | DELTA: instantiating (2412) with fresh symbols all_2562_0, all_2562_1,
% 251.40/43.11 | | | all_2562_2 gives:
% 251.40/43.11 | | | (2543) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2562_2 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2562_0 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 251.40/43.11 | | | all_1435_0, all_1696_9) = all_2562_1 & $i(all_2562_0) & ( ~
% 251.40/43.11 | | | (all_2562_2 = 0) | (( ~ (all_2562_0 = all_1696_10) | ~
% 251.40/43.11 | | | (all_2562_1 = 0)) & (all_2562_0 = all_1696_10 | all_2562_1
% 251.40/43.11 | | | = 0)))
% 251.40/43.11 | | |
% 251.40/43.11 | | | ALPHA: (2543) implies:
% 251.40/43.11 | | | (2544) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2562_0
% 251.40/43.11 | | | (2545) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2562_2
% 251.40/43.11 | | |
% 251.40/43.11 | | | DELTA: instantiating (2411) with fresh symbols all_2564_0, all_2564_1,
% 251.40/43.11 | | | all_2564_2 gives:
% 251.40/43.11 | | | (2546) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1696_9,
% 251.40/43.11 | | | all_1444_0) = all_2564_1 &
% 251.40/43.11 | | | class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2564_2 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2564_0 & $i(all_2564_0) & ( ~ (all_2564_2 = 0) | (( ~
% 251.40/43.11 | | | (all_2564_0 = all_1696_10) | all_2564_1 = 0) & ( ~
% 251.40/43.11 | | | (all_2564_1 = 0) | all_2564_0 = all_1696_10)))
% 251.40/43.11 | | |
% 251.40/43.11 | | | ALPHA: (2546) implies:
% 251.40/43.11 | | | (2547) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2564_0
% 251.40/43.11 | | | (2548) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2564_2
% 251.40/43.11 | | |
% 251.40/43.11 | | | DELTA: instantiating (2407) with fresh symbols all_2566_0, all_2566_1,
% 251.40/43.11 | | | all_2566_2 gives:
% 251.40/43.11 | | | (2549) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2566_2 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 251.40/43.11 | | | all_2566_0 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 251.40/43.11 | | | all_1435_0, all_1498_3) = all_2566_1 & $i(all_2566_0) & ( ~
% 251.40/43.11 | | | (all_2566_2 = 0) | (( ~ (all_2566_0 = all_1498_4) | ~
% 251.40/43.11 | | | (all_2566_1 = 0)) & (all_2566_0 = all_1498_4 | all_2566_1
% 251.40/43.11 | | | = 0)))
% 251.40/43.11 | | |
% 251.40/43.11 | | | ALPHA: (2549) implies:
% 251.40/43.11 | | | (2550) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2566_0
% 251.40/43.11 | | |
% 251.40/43.11 | | | DELTA: instantiating (2427) with fresh symbols all_2644_0, all_2644_1,
% 251.40/43.11 | | | all_2644_2, all_2644_3 gives:
% 251.40/43.11 | | | (2551) class_Int_Onumber__ring(tc_RealDef_Oreal) = all_2644_3 &
% 251.40/43.11 | | | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OPls) =
% 251.40/43.11 | | | all_2644_1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 251.40/43.11 | | | all_2644_2 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 251.40/43.11 | | | all_2644_2, all_2644_1) = all_2644_0 & $i(all_2644_1) &
% 251.40/43.11 | | | $i(all_2644_2) & ( ~ (all_2644_3 = 0) | (( ~ (all_2644_0 = 0) |
% 251.40/43.11 | | | all_933_0 = 0) & ( ~ (all_933_0 = 0) | all_2644_0 = 0)))
% 251.40/43.11 | | |
% 251.40/43.11 | | | ALPHA: (2551) implies:
% 251.40/43.11 | | | (2552) class_Int_Onumber__ring(tc_RealDef_Oreal) = all_2644_3
% 251.40/43.11 | | |
% 251.40/43.11 | | | DELTA: instantiating (2426) with fresh symbols all_2646_0, all_2646_1,
% 251.40/43.11 | | | all_2646_2, all_2646_3 gives:
% 251.40/43.11 | | | (2553) class_Int_Onumber__ring(tc_RealDef_Oreal) = all_2646_3 &
% 251.40/43.11 | | | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OPls) =
% 251.40/43.11 | | | all_2646_2 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 251.40/43.11 | | | all_2646_1 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 251.40/43.11 | | | all_2646_2, all_2646_1) = all_2646_0 & $i(all_2646_1) &
% 251.40/43.11 | | | $i(all_2646_2) & ( ~ (all_2646_3 = 0) | (( ~ (all_2646_0 = 0) |
% 251.40/43.11 | | | all_933_0 = 0) & ( ~ (all_933_0 = 0) | all_2646_0 = 0)))
% 251.40/43.11 | | |
% 251.40/43.11 | | | ALPHA: (2553) implies:
% 251.40/43.11 | | | (2554) class_Int_Onumber__ring(tc_RealDef_Oreal) = all_2646_3
% 251.40/43.11 | | |
% 251.40/43.11 | | | DELTA: instantiating (2424) with fresh symbols all_2744_0, all_2744_1,
% 251.40/43.11 | | | all_2744_2, all_2744_3, all_2744_4 gives:
% 251.40/43.11 | | | (2555) c_Polynomial_Oorder(tc_Complex_Ocomplex, v_wa____, v_p) =
% 251.40/43.11 | | | all_2744_0 & class_Rings_Oidom(tc_Complex_Ocomplex) = all_2744_4
% 251.40/43.11 | | | & tc_Polynomial_Opoly(tc_Complex_Ocomplex) = all_2744_2 &
% 251.40/43.11 | | | c_Groups_Ozero__class_Ozero(all_2744_2) = all_2744_1 &
% 251.40/43.11 | | | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2744_3 &
% 251.40/43.11 | | | $i(all_2744_0) & $i(all_2744_1) & $i(all_2744_2) &
% 251.40/43.11 | | | $i(all_2744_3) & ( ~ (all_2744_4 = 0) | (( ~ (all_2744_0 =
% 251.40/43.11 | | | all_1663_0) | ~ (all_2744_3 = all_1696_12) | all_2744_1
% 251.40/43.11 | | | = v_p) & (all_2744_3 = all_1696_12 | (all_2744_0 =
% 251.40/43.11 | | | all_1663_0 & ~ (all_2744_1 = v_p)))))
% 251.40/43.11 | | |
% 251.40/43.11 | | | ALPHA: (2555) implies:
% 251.40/43.11 | | | (2556) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2744_3
% 251.40/43.11 | | |
% 251.40/43.11 | | | DELTA: instantiating (2422) with fresh symbols all_2746_0, all_2746_1,
% 251.40/43.11 | | | all_2746_2, all_2746_3, all_2746_4 gives:
% 251.40/43.11 | | | (2557) c_Polynomial_Oorder(tc_Complex_Ocomplex, all_1459_5, v_p) =
% 251.40/43.11 | | | all_2746_0 & class_Rings_Oidom(tc_Complex_Ocomplex) = all_2746_4
% 251.40/43.11 | | | & tc_Polynomial_Opoly(tc_Complex_Ocomplex) = all_2746_2 &
% 251.40/43.11 | | | c_Groups_Ozero__class_Ozero(all_2746_2) = all_2746_1 &
% 251.40/43.11 | | | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2746_3 &
% 251.40/43.11 | | | $i(all_2746_0) & $i(all_2746_1) & $i(all_2746_2) &
% 251.40/43.11 | | | $i(all_2746_3) & ( ~ (all_2746_4 = 0) | (( ~ (all_2746_0 =
% 251.40/43.11 | | | all_1663_0) | ~ (all_2746_3 = all_1459_2) | all_2746_1
% 251.40/43.11 | | | = v_p) & (all_2746_3 = all_1459_2 | (all_2746_0 =
% 251.40/43.11 | | | all_1663_0 & ~ (all_2746_1 = v_p)))))
% 251.40/43.11 | | |
% 251.40/43.11 | | | ALPHA: (2557) implies:
% 251.40/43.11 | | | (2558) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2746_3
% 251.40/43.11 | | |
% 251.40/43.11 | | | DELTA: instantiating (2423) with fresh symbols all_2748_0, all_2748_1,
% 251.40/43.11 | | | all_2748_2, all_2748_3, all_2748_4 gives:
% 251.40/43.11 | | | (2559) c_Polynomial_Oorder(tc_Complex_Ocomplex, v_z____, v_p) =
% 251.40/43.11 | | | all_2748_0 & class_Rings_Oidom(tc_Complex_Ocomplex) = all_2748_4
% 251.40/43.11 | | | & tc_Polynomial_Opoly(tc_Complex_Ocomplex) = all_2748_2 &
% 251.40/43.11 | | | c_Groups_Ozero__class_Ozero(all_2748_2) = all_2748_1 &
% 251.40/43.11 | | | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2748_3 &
% 251.40/43.11 | | | $i(all_2748_0) & $i(all_2748_1) & $i(all_2748_2) &
% 251.40/43.11 | | | $i(all_2748_3) & ( ~ (all_2748_4 = 0) | (( ~ (all_2748_0 =
% 251.40/43.11 | | | all_1663_0) | ~ (all_2748_3 = all_1498_4) | all_2748_1
% 251.40/43.11 | | | = v_p) & (all_2748_3 = all_1498_4 | (all_2748_0 =
% 251.40/43.11 | | | all_1663_0 & ~ (all_2748_1 = v_p)))))
% 251.40/43.11 | | |
% 251.40/43.11 | | | ALPHA: (2559) implies:
% 251.40/43.11 | | | (2560) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_2748_3
% 251.40/43.11 | | |
% 251.40/43.11 | | | REDUCE: (1608), (2539) imply:
% 251.40/43.11 | | | (2561) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_975_0,
% 251.40/43.11 | | | all_1073_0) = all_2558_1
% 251.40/43.11 | | |
% 251.40/43.11 | | | BETA: splitting (2428) gives:
% 251.40/43.11 | | |
% 251.40/43.11 | | | Case 1:
% 251.40/43.11 | | | |
% 251.40/43.11 | | | | (2562) all_1202_0 = all_975_0
% 251.40/43.11 | | | |
% 251.40/43.11 | | | | REDUCE: (2329), (2562) imply:
% 251.40/43.11 | | | | (2563) $false
% 251.40/43.11 | | | |
% 251.40/43.11 | | | | CLOSE: (2563) is inconsistent.
% 251.40/43.11 | | | |
% 251.40/43.11 | | | Case 2:
% 251.40/43.11 | | | |
% 251.40/43.11 | | | |
% 251.40/43.11 | | | | GROUND_INST: instantiating (217) with all_1712_15, all_2558_1,
% 251.40/43.11 | | | | all_1073_0, all_975_0, tc_RealDef_Oreal, simplifying with
% 251.40/43.11 | | | | (2037), (2561) gives:
% 251.40/43.11 | | | | (2564) all_2558_1 = all_1712_15
% 251.40/43.11 | | | |
% 251.40/43.11 | | | | GROUND_INST: instantiating (203) with all_2472_0, all_2520_0,
% 251.40/43.11 | | | | tc_Complex_Ocomplex, simplifying with (2497), (2509) gives:
% 251.40/43.11 | | | | (2565) all_2520_0 = all_2472_0
% 251.40/43.11 | | | |
% 251.40/43.11 | | | | GROUND_INST: instantiating (203) with all_2452_0, all_2520_0,
% 251.40/43.11 | | | | tc_Complex_Ocomplex, simplifying with (2486), (2509) gives:
% 251.40/43.11 | | | | (2566) all_2520_0 = all_2452_0
% 251.40/43.11 | | | |
% 251.40/43.11 | | | | GROUND_INST: instantiating (203) with all_2534_0, all_2542_0,
% 251.40/43.11 | | | | tc_Complex_Ocomplex, simplifying with (2512), (2517) gives:
% 251.40/43.11 | | | | (2567) all_2542_0 = all_2534_0
% 251.40/43.11 | | | |
% 251.40/43.11 | | | | GROUND_INST: instantiating (203) with all_2456_0, all_2542_0,
% 251.40/43.11 | | | | tc_Complex_Ocomplex, simplifying with (2492), (2517) gives:
% 251.40/43.11 | | | | (2568) all_2542_0 = all_2456_0
% 251.40/43.11 | | | |
% 251.40/43.11 | | | | GROUND_INST: instantiating (203) with all_2520_0, all_2546_0,
% 251.40/43.11 | | | | tc_Complex_Ocomplex, simplifying with (2509), (2522) gives:
% 251.40/43.11 | | | | (2569) all_2546_0 = all_2520_0
% 251.40/43.11 | | | |
% 251.40/43.11 | | | | GROUND_INST: instantiating (203) with all_2542_0, all_2548_0,
% 251.40/43.11 | | | | tc_Complex_Ocomplex, simplifying with (2517), (2525) gives:
% 251.40/43.11 | | | | (2570) all_2548_0 = all_2542_0
% 251.40/43.11 | | | |
% 251.40/43.11 | | | | GROUND_INST: instantiating (203) with all_2454_0, all_2548_0,
% 251.40/43.11 | | | | tc_Complex_Ocomplex, simplifying with (2488), (2525) gives:
% 251.40/43.11 | | | | (2571) all_2548_0 = all_2454_0
% 251.40/43.11 | | | |
% 251.40/43.11 | | | | GROUND_INST: instantiating (203) with all_2548_0, all_2552_0,
% 251.40/43.11 | | | | tc_Complex_Ocomplex, simplifying with (2525), (2531) gives:
% 251.40/43.11 | | | | (2572) all_2552_0 = all_2548_0
% 251.40/43.11 | | | |
% 251.40/43.11 | | | | GROUND_INST: instantiating (203) with all_2438_0, all_2552_0,
% 251.40/43.11 | | | | tc_Complex_Ocomplex, simplifying with (2483), (2531) gives:
% 251.40/43.11 | | | | (2573) all_2552_0 = all_2438_0
% 251.40/43.11 | | | |
% 251.40/43.11 | | | | GROUND_INST: instantiating (203) with all_2520_0, all_2554_0,
% 251.40/43.11 | | | | tc_Complex_Ocomplex, simplifying with (2509), (2534) gives:
% 251.40/43.11 | | | | (2574) all_2554_0 = all_2520_0
% 251.40/43.11 | | | |
% 251.40/43.11 | | | | GROUND_INST: instantiating (203) with all_2276_0, all_2554_0,
% 251.40/43.11 | | | | tc_Complex_Ocomplex, simplifying with (2459), (2534) gives:
% 251.40/43.11 | | | | (2575) all_2554_0 = all_2276_0
% 251.40/43.11 | | | |
% 251.40/43.11 | | | | GROUND_INST: instantiating (203) with all_2544_0, all_2556_0,
% 251.40/43.11 | | | | tc_Complex_Ocomplex, simplifying with (2519), (2537) gives:
% 251.40/43.11 | | | | (2576) all_2556_0 = all_2544_0
% 251.40/43.11 | | | |
% 251.40/43.11 | | | | GROUND_INST: instantiating (203) with all_2556_0, all_2558_0,
% 251.40/43.11 | | | | tc_Complex_Ocomplex, simplifying with (2537), (2540) gives:
% 251.40/43.11 | | | | (2577) all_2558_0 = all_2556_0
% 251.40/43.11 | | | |
% 251.40/43.11 | | | | GROUND_INST: instantiating (203) with all_2542_0, all_2558_0,
% 251.40/43.11 | | | | tc_Complex_Ocomplex, simplifying with (2517), (2540) gives:
% 251.40/43.11 | | | | (2578) all_2558_0 = all_2542_0
% 251.40/43.11 | | | |
% 251.40/43.11 | | | | GROUND_INST: instantiating (203) with all_2508_0, all_2558_0,
% 251.40/43.11 | | | | tc_Complex_Ocomplex, simplifying with (2505), (2540) gives:
% 251.40/43.11 | | | | (2579) all_2558_0 = all_2508_0
% 251.40/43.11 | | | |
% 251.40/43.11 | | | | GROUND_INST: instantiating (203) with all_2546_0, all_2562_0,
% 251.40/43.11 | | | | tc_Complex_Ocomplex, simplifying with (2522), (2544) gives:
% 251.40/43.11 | | | | (2580) all_2562_0 = all_2546_0
% 251.40/43.11 | | | |
% 251.40/43.11 | | | | GROUND_INST: instantiating (203) with all_2402_0, all_2562_0,
% 251.40/43.11 | | | | tc_Complex_Ocomplex, simplifying with (2475), (2544) gives:
% 251.40/43.11 | | | | (2581) all_2562_0 = all_2402_0
% 251.40/43.11 | | | |
% 251.40/43.11 | | | | GROUND_INST: instantiating (203) with all_2472_0, all_2564_0,
% 251.40/43.11 | | | | tc_Complex_Ocomplex, simplifying with (2497), (2547) gives:
% 251.40/43.11 | | | | (2582) all_2564_0 = all_2472_0
% 251.40/43.11 | | | |
% 251.40/43.11 | | | | GROUND_INST: instantiating (203) with all_2548_0, all_2566_0,
% 251.40/43.11 | | | | tc_Complex_Ocomplex, simplifying with (2525), (2550) gives:
% 251.40/43.11 | | | | (2583) all_2566_0 = all_2548_0
% 251.40/43.11 | | | |
% 251.40/43.11 | | | | GROUND_INST: instantiating (203) with all_2472_0, all_2566_0,
% 251.40/43.11 | | | | tc_Complex_Ocomplex, simplifying with (2497), (2550) gives:
% 251.40/43.11 | | | | (2584) all_2566_0 = all_2472_0
% 251.40/43.11 | | | |
% 251.40/43.11 | | | | GROUND_INST: instantiating (203) with all_2394_0, all_2566_0,
% 251.40/43.11 | | | | tc_Complex_Ocomplex, simplifying with (2473), (2550) gives:
% 251.40/43.11 | | | | (2585) all_2566_0 = all_2394_0
% 251.40/43.11 | | | |
% 251.40/43.11 | | | | GROUND_INST: instantiating (203) with all_2564_0, all_2744_3,
% 251.40/43.11 | | | | tc_Complex_Ocomplex, simplifying with (2547), (2556) gives:
% 251.40/43.11 | | | | (2586) all_2744_3 = all_2564_0
% 251.40/43.11 | | | |
% 251.40/43.11 | | | | GROUND_INST: instantiating (203) with all_2278_1, all_2744_3,
% 251.40/43.11 | | | | tc_Complex_Ocomplex, simplifying with (2461), (2556) gives:
% 251.40/43.11 | | | | (2587) all_2744_3 = all_2278_1
% 251.40/43.11 | | | |
% 251.40/43.11 | | | | GROUND_INST: instantiating (203) with all_1459_5, all_2746_3,
% 251.40/43.11 | | | | tc_Complex_Ocomplex, simplifying with (544), (2558) gives:
% 251.40/43.11 | | | | (2588) all_2746_3 = all_1459_5
% 251.40/43.11 | | | |
% 251.40/43.11 | | | | GROUND_INST: instantiating (203) with all_2746_3, all_2748_3,
% 251.40/43.11 | | | | tc_Complex_Ocomplex, simplifying with (2558), (2560) gives:
% 251.40/43.12 | | | | (2589) all_2748_3 = all_2746_3
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (203) with all_2556_0, all_2748_3,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2537), (2560) gives:
% 251.40/43.12 | | | | (2590) all_2748_3 = all_2556_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (203) with all_2550_0, all_2748_3,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2528), (2560) gives:
% 251.40/43.12 | | | | (2591) all_2748_3 = all_2550_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (206) with 0, all_2416_3, tc_RealDef_Oreal,
% 251.40/43.12 | | | | simplifying with (192), (2481) gives:
% 251.40/43.12 | | | | (2592) all_2416_3 = 0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (206) with all_2416_3, all_2458_3,
% 251.40/43.12 | | | | tc_RealDef_Oreal, simplifying with (2481), (2495) gives:
% 251.40/43.12 | | | | (2593) all_2458_3 = all_2416_3
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (206) with all_2458_3, all_2476_3,
% 251.40/43.12 | | | | tc_RealDef_Oreal, simplifying with (2495), (2500) gives:
% 251.40/43.12 | | | | (2594) all_2476_3 = all_2458_3
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (206) with all_2476_3, all_2500_3,
% 251.40/43.12 | | | | tc_RealDef_Oreal, simplifying with (2500), (2503) gives:
% 251.40/43.12 | | | | (2595) all_2500_3 = all_2476_3
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (206) with all_2500_3, all_2536_3,
% 251.40/43.12 | | | | tc_RealDef_Oreal, simplifying with (2503), (2515) gives:
% 251.40/43.12 | | | | (2596) all_2536_3 = all_2500_3
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (206) with all_2536_3, all_2644_3,
% 251.40/43.12 | | | | tc_RealDef_Oreal, simplifying with (2515), (2552) gives:
% 251.40/43.12 | | | | (2597) all_2644_3 = all_2536_3
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (206) with all_2644_3, all_2646_3,
% 251.40/43.12 | | | | tc_RealDef_Oreal, simplifying with (2552), (2554) gives:
% 251.40/43.12 | | | | (2598) all_2646_3 = all_2644_3
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (206) with all_2406_3, all_2646_3,
% 251.40/43.12 | | | | tc_RealDef_Oreal, simplifying with (2479), (2554) gives:
% 251.40/43.12 | | | | (2599) all_2646_3 = all_2406_3
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (207) with all_2194_1, all_2204_1,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2439), (2443) gives:
% 251.40/43.12 | | | | (2600) all_2204_1 = all_2194_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (207) with all_2204_1, all_2206_1,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2443), (2445) gives:
% 251.40/43.12 | | | | (2601) all_2206_1 = all_2204_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (207) with all_2206_1, all_2208_1,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2445), (2447) gives:
% 251.40/43.12 | | | | (2602) all_2208_1 = all_2206_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (207) with all_2214_1, all_2262_1,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2451), (2455) gives:
% 251.40/43.12 | | | | (2603) all_2262_1 = all_2214_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (207) with all_2274_1, all_2320_1,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2457), (2465) gives:
% 251.40/43.12 | | | | (2604) all_2320_1 = all_2274_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (207) with all_2274_1, all_2438_1,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2457), (2484) gives:
% 251.40/43.12 | | | | (2605) all_2438_1 = all_2274_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (207) with all_2222_1, all_2438_1,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2453), (2484) gives:
% 251.40/43.12 | | | | (2606) all_2438_1 = all_2222_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (207) with all_2208_1, all_2438_1,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2447), (2484) gives:
% 251.40/43.12 | | | | (2607) all_2438_1 = all_2208_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (207) with all_2214_1, all_2456_1,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2451), (2493) gives:
% 251.40/43.12 | | | | (2608) all_2456_1 = all_2214_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (207) with all_2196_1, all_2456_1,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2441), (2493) gives:
% 251.40/43.12 | | | | (2609) all_2456_1 = all_2196_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (207) with all_2194_1, all_2456_1,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2439), (2493) gives:
% 251.40/43.12 | | | | (2610) all_2456_1 = all_2194_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (207) with all_2392_2, all_2472_1,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2471), (2498) gives:
% 251.40/43.12 | | | | (2611) all_2472_1 = all_2392_2
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (207) with all_2320_1, all_2472_1,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2465), (2498) gives:
% 251.40/43.12 | | | | (2612) all_2472_1 = all_2320_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (207) with all_2472_1, all_2520_1,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2498), (2510) gives:
% 251.40/43.12 | | | | (2613) all_2520_1 = all_2472_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (207) with all_2262_1, all_2534_1,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2455), (2513) gives:
% 251.40/43.12 | | | | (2614) all_2534_1 = all_2262_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (207) with all_2192_1, all_2544_2,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2437), (2520) gives:
% 251.40/43.12 | | | | (2615) all_2544_2 = all_2192_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (207) with all_2534_1, all_2546_2,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2513), (2523) gives:
% 251.40/43.12 | | | | (2616) all_2546_2 = all_2534_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (207) with all_2286_1, all_2546_2,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2463), (2523) gives:
% 251.40/43.12 | | | | (2617) all_2546_2 = all_2286_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (207) with all_2214_1, all_2548_2,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2451), (2526) gives:
% 251.40/43.12 | | | | (2618) all_2548_2 = all_2214_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (207) with all_2210_1, all_2548_2,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2449), (2526) gives:
% 251.40/43.12 | | | | (2619) all_2548_2 = all_2210_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (207) with all_2520_1, all_2550_2,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2510), (2529) gives:
% 251.40/43.12 | | | | (2620) all_2550_2 = all_2520_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (207) with all_2544_2, all_2552_2,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2520), (2532) gives:
% 251.40/43.12 | | | | (2621) all_2552_2 = all_2544_2
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (207) with all_2508_1, all_2552_2,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2506), (2532) gives:
% 251.40/43.12 | | | | (2622) all_2552_2 = all_2508_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (207) with all_2534_1, all_2554_2,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2513), (2535) gives:
% 251.40/43.12 | | | | (2623) all_2554_2 = all_2534_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (207) with 0, all_2558_2,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (193), (2541) gives:
% 251.40/43.12 | | | | (2624) all_2558_2 = 0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (207) with all_2550_2, all_2558_2,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2529), (2541) gives:
% 251.40/43.12 | | | | (2625) all_2558_2 = all_2550_2
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (207) with all_2544_2, all_2562_2,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2520), (2545) gives:
% 251.40/43.12 | | | | (2626) all_2562_2 = all_2544_2
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (207) with all_2534_1, all_2562_2,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2513), (2545) gives:
% 251.40/43.12 | | | | (2627) all_2562_2 = all_2534_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (207) with all_2322_1, all_2562_2,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2467), (2545) gives:
% 251.40/43.12 | | | | (2628) all_2562_2 = all_2322_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (207) with all_2554_2, all_2564_2,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2535), (2548) gives:
% 251.40/43.12 | | | | (2629) all_2564_2 = all_2554_2
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (207) with all_2376_2, all_2564_2,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (2469), (2548) gives:
% 251.40/43.12 | | | | (2630) all_2564_2 = all_2376_2
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (208) with 0, all_2402_1,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (196), (2476) gives:
% 251.40/43.12 | | | | (2631) all_2402_1 = 0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | GROUND_INST: instantiating (209) with 0, all_2454_1,
% 251.40/43.12 | | | | tc_Complex_Ocomplex, simplifying with (194), (2489) gives:
% 251.40/43.12 | | | | (2632) all_2454_1 = 0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2589), (2591) imply:
% 251.40/43.12 | | | | (2633) all_2746_3 = all_2550_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2633) implies:
% 251.40/43.12 | | | | (2634) all_2746_3 = all_2550_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2590), (2591) imply:
% 251.40/43.12 | | | | (2635) all_2556_0 = all_2550_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2635) implies:
% 251.40/43.12 | | | | (2636) all_2556_0 = all_2550_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2588), (2634) imply:
% 251.40/43.12 | | | | (2637) all_2550_0 = all_1459_5
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2637) implies:
% 251.40/43.12 | | | | (2638) all_2550_0 = all_1459_5
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2586), (2587) imply:
% 251.40/43.12 | | | | (2639) all_2564_0 = all_2278_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2639) implies:
% 251.40/43.12 | | | | (2640) all_2564_0 = all_2278_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2598), (2599) imply:
% 251.40/43.12 | | | | (2641) all_2644_3 = all_2406_3
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2641) implies:
% 251.40/43.12 | | | | (2642) all_2644_3 = all_2406_3
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2597), (2642) imply:
% 251.40/43.12 | | | | (2643) all_2536_3 = all_2406_3
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2643) implies:
% 251.40/43.12 | | | | (2644) all_2536_3 = all_2406_3
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2584), (2585) imply:
% 251.40/43.12 | | | | (2645) all_2472_0 = all_2394_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2645) implies:
% 251.40/43.12 | | | | (2646) all_2472_0 = all_2394_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2583), (2585) imply:
% 251.40/43.12 | | | | (2647) all_2548_0 = all_2394_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2647) implies:
% 251.40/43.12 | | | | (2648) all_2548_0 = all_2394_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2582), (2640) imply:
% 251.40/43.12 | | | | (2649) all_2472_0 = all_2278_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2649) implies:
% 251.40/43.12 | | | | (2650) all_2472_0 = all_2278_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2629), (2630) imply:
% 251.40/43.12 | | | | (2651) all_2554_2 = all_2376_2
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2651) implies:
% 251.40/43.12 | | | | (2652) all_2554_2 = all_2376_2
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2580), (2581) imply:
% 251.40/43.12 | | | | (2653) all_2546_0 = all_2402_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2653) implies:
% 251.40/43.12 | | | | (2654) all_2546_0 = all_2402_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2626), (2628) imply:
% 251.40/43.12 | | | | (2655) all_2544_2 = all_2322_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2655) implies:
% 251.40/43.12 | | | | (2656) all_2544_2 = all_2322_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2627), (2628) imply:
% 251.40/43.12 | | | | (2657) all_2534_1 = all_2322_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2657) implies:
% 251.40/43.12 | | | | (2658) all_2534_1 = all_2322_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2578), (2579) imply:
% 251.40/43.12 | | | | (2659) all_2542_0 = all_2508_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2659) implies:
% 251.40/43.12 | | | | (2660) all_2542_0 = all_2508_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2577), (2579) imply:
% 251.40/43.12 | | | | (2661) all_2556_0 = all_2508_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2661) implies:
% 251.40/43.12 | | | | (2662) all_2556_0 = all_2508_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2624), (2625) imply:
% 251.40/43.12 | | | | (2663) all_2550_2 = 0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2663) implies:
% 251.40/43.12 | | | | (2664) all_2550_2 = 0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2576), (2636) imply:
% 251.40/43.12 | | | | (2665) all_2550_0 = all_2544_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2665) implies:
% 251.40/43.12 | | | | (2666) all_2550_0 = all_2544_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2576), (2662) imply:
% 251.40/43.12 | | | | (2667) all_2544_0 = all_2508_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2574), (2575) imply:
% 251.40/43.12 | | | | (2668) all_2520_0 = all_2276_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2668) implies:
% 251.40/43.12 | | | | (2669) all_2520_0 = all_2276_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2623), (2652) imply:
% 251.40/43.12 | | | | (2670) all_2534_1 = all_2376_2
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2670) implies:
% 251.40/43.12 | | | | (2671) all_2534_1 = all_2376_2
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2572), (2573) imply:
% 251.40/43.12 | | | | (2672) all_2548_0 = all_2438_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2672) implies:
% 251.40/43.12 | | | | (2673) all_2548_0 = all_2438_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2621), (2622) imply:
% 251.40/43.12 | | | | (2674) all_2544_2 = all_2508_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2674) implies:
% 251.40/43.12 | | | | (2675) all_2544_2 = all_2508_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2638), (2666) imply:
% 251.40/43.12 | | | | (2676) all_2544_0 = all_1459_5
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2676) implies:
% 251.40/43.12 | | | | (2677) all_2544_0 = all_1459_5
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2620), (2664) imply:
% 251.40/43.12 | | | | (2678) all_2520_1 = 0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2678) implies:
% 251.40/43.12 | | | | (2679) all_2520_1 = 0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2570), (2571) imply:
% 251.40/43.12 | | | | (2680) all_2542_0 = all_2454_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2680) implies:
% 251.40/43.12 | | | | (2681) all_2542_0 = all_2454_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2571), (2648) imply:
% 251.40/43.12 | | | | (2682) all_2454_0 = all_2394_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2571), (2673) imply:
% 251.40/43.12 | | | | (2683) all_2454_0 = all_2438_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2618), (2619) imply:
% 251.40/43.12 | | | | (2684) all_2214_1 = all_2210_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2684) implies:
% 251.40/43.12 | | | | (2685) all_2214_1 = all_2210_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2569), (2654) imply:
% 251.40/43.12 | | | | (2686) all_2520_0 = all_2402_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2686) implies:
% 251.40/43.12 | | | | (2687) all_2520_0 = all_2402_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2616), (2617) imply:
% 251.40/43.12 | | | | (2688) all_2534_1 = all_2286_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2688) implies:
% 251.40/43.12 | | | | (2689) all_2534_1 = all_2286_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2667), (2677) imply:
% 251.40/43.12 | | | | (2690) all_2508_0 = all_1459_5
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2690) implies:
% 251.40/43.12 | | | | (2691) all_2508_0 = all_1459_5
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2615), (2675) imply:
% 251.40/43.12 | | | | (2692) all_2508_1 = all_2192_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2656), (2675) imply:
% 251.40/43.12 | | | | (2693) all_2508_1 = all_2322_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2567), (2681) imply:
% 251.40/43.12 | | | | (2694) all_2534_0 = all_2454_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2567), (2568) imply:
% 251.40/43.12 | | | | (2695) all_2534_0 = all_2456_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2567), (2660) imply:
% 251.40/43.12 | | | | (2696) all_2534_0 = all_2508_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2596), (2644) imply:
% 251.40/43.12 | | | | (2697) all_2500_3 = all_2406_3
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2697) implies:
% 251.40/43.12 | | | | (2698) all_2500_3 = all_2406_3
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2695), (2696) imply:
% 251.40/43.12 | | | | (2699) all_2508_0 = all_2456_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2699) implies:
% 251.40/43.12 | | | | (2700) all_2508_0 = all_2456_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2694), (2695) imply:
% 251.40/43.12 | | | | (2701) all_2456_0 = all_2454_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2671), (2689) imply:
% 251.40/43.12 | | | | (2702) all_2376_2 = all_2286_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2614), (2671) imply:
% 251.40/43.12 | | | | (2703) all_2376_2 = all_2262_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2658), (2671) imply:
% 251.40/43.12 | | | | (2704) all_2376_2 = all_2322_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2566), (2687) imply:
% 251.40/43.12 | | | | (2705) all_2452_0 = all_2402_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2566), (2669) imply:
% 251.40/43.12 | | | | (2706) all_2452_0 = all_2276_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2565), (2566) imply:
% 251.40/43.12 | | | | (2707) all_2472_0 = all_2452_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2707) implies:
% 251.40/43.12 | | | | (2708) all_2472_0 = all_2452_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2613), (2679) imply:
% 251.40/43.12 | | | | (2709) all_2472_1 = 0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2709) implies:
% 251.40/43.12 | | | | (2710) all_2472_1 = 0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2691), (2700) imply:
% 251.40/43.12 | | | | (2711) all_2456_0 = all_1459_5
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2711) implies:
% 251.40/43.12 | | | | (2712) all_2456_0 = all_1459_5
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2692), (2693) imply:
% 251.40/43.12 | | | | (2713) all_2322_1 = all_2192_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2713) implies:
% 251.40/43.12 | | | | (2714) all_2322_1 = all_2192_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2595), (2698) imply:
% 251.40/43.12 | | | | (2715) all_2476_3 = all_2406_3
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2715) implies:
% 251.40/43.12 | | | | (2716) all_2476_3 = all_2406_3
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2594), (2716) imply:
% 251.40/43.12 | | | | (2717) all_2458_3 = all_2406_3
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2717) implies:
% 251.40/43.12 | | | | (2718) all_2458_3 = all_2406_3
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2650), (2708) imply:
% 251.40/43.12 | | | | (2719) all_2452_0 = all_2278_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2719) implies:
% 251.40/43.12 | | | | (2720) all_2452_0 = all_2278_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2646), (2650) imply:
% 251.40/43.12 | | | | (2721) all_2394_0 = all_2278_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2721) implies:
% 251.40/43.12 | | | | (2722) all_2394_0 = all_2278_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2611), (2612) imply:
% 251.40/43.12 | | | | (2723) all_2392_2 = all_2320_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2611), (2710) imply:
% 251.40/43.12 | | | | (2724) all_2392_2 = 0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2593), (2718) imply:
% 251.40/43.12 | | | | (2725) all_2416_3 = all_2406_3
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2725) implies:
% 251.40/43.12 | | | | (2726) all_2416_3 = all_2406_3
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2701), (2712) imply:
% 251.40/43.12 | | | | (2727) all_2454_0 = all_1459_5
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2727) implies:
% 251.40/43.12 | | | | (2728) all_2454_0 = all_1459_5
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2608), (2609) imply:
% 251.40/43.12 | | | | (2729) all_2214_1 = all_2196_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2729) implies:
% 251.40/43.12 | | | | (2730) all_2214_1 = all_2196_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2609), (2610) imply:
% 251.40/43.12 | | | | (2731) all_2196_1 = all_2194_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2682), (2683) imply:
% 251.40/43.12 | | | | (2732) all_2438_0 = all_2394_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2683), (2728) imply:
% 251.40/43.12 | | | | (2733) all_2438_0 = all_1459_5
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2705), (2706) imply:
% 251.40/43.12 | | | | (2734) all_2402_0 = all_2276_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2705), (2720) imply:
% 251.40/43.12 | | | | (2735) all_2402_0 = all_2278_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2732), (2733) imply:
% 251.40/43.12 | | | | (2736) all_2394_0 = all_1459_5
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2736) implies:
% 251.40/43.12 | | | | (2737) all_2394_0 = all_1459_5
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2605), (2606) imply:
% 251.40/43.12 | | | | (2738) all_2274_1 = all_2222_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2738) implies:
% 251.40/43.12 | | | | (2739) all_2274_1 = all_2222_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2606), (2607) imply:
% 251.40/43.12 | | | | (2740) all_2222_1 = all_2208_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2592), (2726) imply:
% 251.40/43.12 | | | | (2741) all_2406_3 = 0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2734), (2735) imply:
% 251.40/43.12 | | | | (2742) all_2278_1 = all_2276_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2742) implies:
% 251.40/43.12 | | | | (2743) all_2278_1 = all_2276_0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2722), (2737) imply:
% 251.40/43.12 | | | | (2744) all_2278_1 = all_1459_5
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2744) implies:
% 251.40/43.12 | | | | (2745) all_2278_1 = all_1459_5
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2723), (2724) imply:
% 251.40/43.12 | | | | (2746) all_2320_1 = 0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2746) implies:
% 251.40/43.12 | | | | (2747) all_2320_1 = 0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2702), (2704) imply:
% 251.40/43.12 | | | | (2748) all_2322_1 = all_2286_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2748) implies:
% 251.40/43.12 | | | | (2749) all_2322_1 = all_2286_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2702), (2703) imply:
% 251.40/43.12 | | | | (2750) all_2286_1 = all_2262_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2714), (2749) imply:
% 251.40/43.12 | | | | (2751) all_2286_1 = all_2192_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2751) implies:
% 251.40/43.12 | | | | (2752) all_2286_1 = all_2192_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2604), (2747) imply:
% 251.40/43.12 | | | | (2753) all_2274_1 = 0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2753) implies:
% 251.40/43.12 | | | | (2754) all_2274_1 = 0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2750), (2752) imply:
% 251.40/43.12 | | | | (2755) all_2262_1 = all_2192_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2755) implies:
% 251.40/43.12 | | | | (2756) all_2262_1 = all_2192_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2743), (2745) imply:
% 251.40/43.12 | | | | (2757) all_2276_0 = all_1459_5
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2739), (2754) imply:
% 251.40/43.12 | | | | (2758) all_2222_1 = 0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2758) implies:
% 251.40/43.12 | | | | (2759) all_2222_1 = 0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2603), (2756) imply:
% 251.40/43.12 | | | | (2760) all_2214_1 = all_2192_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2760) implies:
% 251.40/43.12 | | | | (2761) all_2214_1 = all_2192_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2740), (2759) imply:
% 251.40/43.12 | | | | (2762) all_2208_1 = 0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2762) implies:
% 251.40/43.12 | | | | (2763) all_2208_1 = 0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2685), (2730) imply:
% 251.40/43.12 | | | | (2764) all_2210_1 = all_2196_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2685), (2761) imply:
% 251.40/43.12 | | | | (2765) all_2210_1 = all_2192_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2764), (2765) imply:
% 251.40/43.12 | | | | (2766) all_2196_1 = all_2192_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2766) implies:
% 251.40/43.12 | | | | (2767) all_2196_1 = all_2192_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2602), (2763) imply:
% 251.40/43.12 | | | | (2768) all_2206_1 = 0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2768) implies:
% 251.40/43.12 | | | | (2769) all_2206_1 = 0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2601), (2769) imply:
% 251.40/43.12 | | | | (2770) all_2204_1 = 0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2770) implies:
% 251.40/43.12 | | | | (2771) all_2204_1 = 0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2600), (2771) imply:
% 251.40/43.12 | | | | (2772) all_2194_1 = 0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2772) implies:
% 251.40/43.12 | | | | (2773) all_2194_1 = 0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2731), (2767) imply:
% 251.40/43.12 | | | | (2774) all_2194_1 = all_2192_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | SIMP: (2774) implies:
% 251.40/43.12 | | | | (2775) all_2194_1 = all_2192_1
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2773), (2775) imply:
% 251.40/43.12 | | | | (2776) all_2192_1 = 0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2734), (2757) imply:
% 251.40/43.12 | | | | (2777) all_2402_0 = all_1459_5
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2716), (2741) imply:
% 251.40/43.12 | | | | (2778) all_2476_3 = 0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2692), (2776) imply:
% 251.40/43.12 | | | | (2779) all_2508_1 = 0
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | COMBINE_EQS: (2579), (2691) imply:
% 251.40/43.12 | | | | (2780) all_2558_0 = all_1459_5
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | BETA: splitting (2542) gives:
% 251.40/43.12 | | | |
% 251.40/43.12 | | | | Case 1:
% 251.40/43.13 | | | | |
% 251.40/43.13 | | | | | (2781) ~ (all_2558_2 = 0)
% 251.40/43.13 | | | | |
% 251.40/43.13 | | | | | REDUCE: (2624), (2781) imply:
% 251.40/43.13 | | | | | (2782) $false
% 251.40/43.13 | | | | |
% 251.40/43.13 | | | | | CLOSE: (2782) is inconsistent.
% 251.40/43.13 | | | | |
% 251.40/43.13 | | | | Case 2:
% 251.40/43.13 | | | | |
% 251.40/43.13 | | | | | (2783) ( ~ (all_2558_0 = all_1073_1) | ~ (all_2558_1 = 0)) &
% 251.40/43.13 | | | | | (all_2558_0 = all_1073_1 | all_2558_1 = 0)
% 251.40/43.13 | | | | |
% 251.40/43.13 | | | | | ALPHA: (2783) implies:
% 251.40/43.13 | | | | | (2784) all_2558_0 = all_1073_1 | all_2558_1 = 0
% 251.40/43.13 | | | | |
% 251.40/43.13 | | | | | BETA: splitting (2784) gives:
% 251.40/43.13 | | | | |
% 251.40/43.13 | | | | | Case 1:
% 251.40/43.13 | | | | | |
% 251.40/43.13 | | | | | | (2785) all_2558_1 = 0
% 251.40/43.13 | | | | | |
% 251.40/43.13 | | | | | | COMBINE_EQS: (2564), (2785) imply:
% 251.40/43.13 | | | | | | (2786) all_1712_15 = 0
% 251.40/43.13 | | | | | |
% 251.40/43.13 | | | | | | SIMP: (2786) implies:
% 251.40/43.13 | | | | | | (2787) all_1712_15 = 0
% 251.40/43.13 | | | | | |
% 251.40/43.13 | | | | | | REDUCE: (2383), (2787) imply:
% 251.40/43.13 | | | | | | (2788) $false
% 251.40/43.13 | | | | | |
% 251.40/43.13 | | | | | | CLOSE: (2788) is inconsistent.
% 251.40/43.13 | | | | | |
% 251.40/43.13 | | | | | Case 2:
% 251.40/43.13 | | | | | |
% 251.40/43.13 | | | | | | (2789) all_2558_0 = all_1073_1
% 251.40/43.13 | | | | | |
% 251.40/43.13 | | | | | | COMBINE_EQS: (2780), (2789) imply:
% 251.40/43.13 | | | | | | (2790) all_1459_5 = all_1073_1
% 251.40/43.13 | | | | | |
% 251.40/43.13 | | | | | | SIMP: (2790) implies:
% 251.40/43.13 | | | | | | (2791) all_1459_5 = all_1073_1
% 251.40/43.13 | | | | | |
% 251.40/43.13 | | | | | | COMBINE_EQS: (2777), (2791) imply:
% 251.40/43.13 | | | | | | (2792) all_2402_0 = all_1073_1
% 251.40/43.13 | | | | | |
% 251.40/43.13 | | | | | | COMBINE_EQS: (2728), (2791) imply:
% 251.40/43.13 | | | | | | (2793) all_2454_0 = all_1073_1
% 251.40/43.13 | | | | | |
% 251.40/43.13 | | | | | | COMBINE_EQS: (2691), (2791) imply:
% 251.40/43.13 | | | | | | (2794) all_2508_0 = all_1073_1
% 251.40/43.13 | | | | | |
% 251.40/43.13 | | | | | | BETA: splitting (2477) gives:
% 251.40/43.13 | | | | | |
% 251.40/43.13 | | | | | | Case 1:
% 251.40/43.13 | | | | | | |
% 251.40/43.13 | | | | | | | (2795) ~ (all_2402_1 = 0)
% 251.40/43.13 | | | | | | |
% 251.40/43.13 | | | | | | | REDUCE: (2631), (2795) imply:
% 251.40/43.13 | | | | | | | (2796) $false
% 251.40/43.13 | | | | | | |
% 251.40/43.13 | | | | | | | CLOSE: (2796) is inconsistent.
% 251.40/43.13 | | | | | | |
% 251.40/43.13 | | | | | | Case 2:
% 251.40/43.13 | | | | | | |
% 251.40/43.13 | | | | | | | (2797) ( ~ (all_2402_0 = all_1073_1) | v_z____ = v_wa____) & (
% 251.40/43.13 | | | | | | | ~ (v_z____ = v_wa____) | all_2402_0 = all_1073_1)
% 251.40/43.13 | | | | | | |
% 251.40/43.13 | | | | | | | ALPHA: (2797) implies:
% 251.40/43.13 | | | | | | | (2798) ~ (all_2402_0 = all_1073_1) | v_z____ = v_wa____
% 251.40/43.13 | | | | | | |
% 251.40/43.13 | | | | | | | BETA: splitting (2798) gives:
% 251.40/43.13 | | | | | | |
% 251.40/43.13 | | | | | | | Case 1:
% 251.40/43.13 | | | | | | | |
% 251.40/43.13 | | | | | | | | (2799) ~ (all_2402_0 = all_1073_1)
% 251.40/43.13 | | | | | | | |
% 251.40/43.13 | | | | | | | | REDUCE: (2792), (2799) imply:
% 251.40/43.13 | | | | | | | | (2800) $false
% 251.40/43.13 | | | | | | | |
% 251.40/43.13 | | | | | | | | CLOSE: (2800) is inconsistent.
% 251.40/43.13 | | | | | | | |
% 251.40/43.13 | | | | | | | Case 2:
% 251.40/43.13 | | | | | | | |
% 251.40/43.13 | | | | | | | | (2801) v_z____ = v_wa____
% 251.40/43.13 | | | | | | | |
% 251.40/43.13 | | | | | | | | REDUCE: (1743), (2801) imply:
% 251.40/43.13 | | | | | | | | (2802) hAPP(all_1450_0, v_wa____) = all_1498_4
% 251.40/43.13 | | | | | | | |
% 251.40/43.13 | | | | | | | | BETA: splitting (2501) gives:
% 251.40/43.13 | | | | | | | |
% 251.40/43.13 | | | | | | | | Case 1:
% 251.40/43.13 | | | | | | | | |
% 251.40/43.13 | | | | | | | | | (2803) ~ (all_2476_3 = 0)
% 251.40/43.13 | | | | | | | | |
% 251.40/43.13 | | | | | | | | | REDUCE: (2778), (2803) imply:
% 251.40/43.13 | | | | | | | | | (2804) $false
% 251.40/43.13 | | | | | | | | |
% 251.40/43.13 | | | | | | | | | CLOSE: (2804) is inconsistent.
% 251.40/43.13 | | | | | | | | |
% 251.40/43.13 | | | | | | | | Case 2:
% 251.40/43.13 | | | | | | | | |
% 251.40/43.13 | | | | | | | | |
% 251.40/43.13 | | | | | | | | | GROUND_INST: instantiating (211) with all_1696_12, all_1498_4,
% 251.40/43.13 | | | | | | | | | v_wa____, all_1450_0, simplifying with (1741),
% 251.40/43.13 | | | | | | | | | (2802) gives:
% 251.40/43.13 | | | | | | | | | (2805) all_1696_12 = all_1498_4
% 251.40/43.13 | | | | | | | | |
% 251.40/43.13 | | | | | | | | | BETA: splitting (2490) gives:
% 251.40/43.13 | | | | | | | | |
% 251.40/43.13 | | | | | | | | | Case 1:
% 251.40/43.13 | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | (2806) ~ (all_2454_1 = 0)
% 251.40/43.13 | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | REDUCE: (2632), (2806) imply:
% 251.40/43.13 | | | | | | | | | | (2807) $false
% 251.40/43.13 | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | CLOSE: (2807) is inconsistent.
% 251.40/43.13 | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | Case 2:
% 251.40/43.13 | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | (2808) ( ~ (all_2454_0 = all_1696_10) | all_1696_12 =
% 251.40/43.13 | | | | | | | | | | all_1498_4) & ( ~ (all_1696_12 = all_1498_4) |
% 251.40/43.13 | | | | | | | | | | all_2454_0 = all_1696_10)
% 251.40/43.13 | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | ALPHA: (2808) implies:
% 251.40/43.13 | | | | | | | | | | (2809) ~ (all_1696_12 = all_1498_4) | all_2454_0 =
% 251.40/43.13 | | | | | | | | | | all_1696_10
% 251.40/43.13 | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | BETA: splitting (2809) gives:
% 251.40/43.13 | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | Case 1:
% 251.40/43.13 | | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | | (2810) ~ (all_1696_12 = all_1498_4)
% 251.40/43.13 | | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | | REDUCE: (2805), (2810) imply:
% 251.40/43.13 | | | | | | | | | | | (2811) $false
% 251.40/43.13 | | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | | CLOSE: (2811) is inconsistent.
% 251.40/43.13 | | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | Case 2:
% 251.40/43.13 | | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | | (2812) all_2454_0 = all_1696_10
% 251.40/43.13 | | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | | COMBINE_EQS: (2793), (2812) imply:
% 251.40/43.13 | | | | | | | | | | | (2813) all_1696_10 = all_1073_1
% 251.40/43.13 | | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | | SIMP: (2813) implies:
% 251.40/43.13 | | | | | | | | | | | (2814) all_1696_10 = all_1073_1
% 251.40/43.13 | | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | | BETA: splitting (2507) gives:
% 251.40/43.13 | | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | | Case 1:
% 251.40/43.13 | | | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | | | (2815) ~ (all_2508_1 = 0)
% 251.40/43.13 | | | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | | | REDUCE: (2779), (2815) imply:
% 251.40/43.13 | | | | | | | | | | | | (2816) $false
% 251.40/43.13 | | | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | | | CLOSE: (2816) is inconsistent.
% 251.40/43.13 | | | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | | Case 2:
% 251.40/43.13 | | | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | | | (2817) ( ~ (all_2508_0 = all_1696_10) | all_1696_9 =
% 251.40/43.13 | | | | | | | | | | | | all_1409_0) & ( ~ (all_1696_9 = all_1409_0) |
% 251.40/43.13 | | | | | | | | | | | | all_2508_0 = all_1696_10)
% 251.40/43.13 | | | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | | | ALPHA: (2817) implies:
% 251.40/43.13 | | | | | | | | | | | | (2818) ~ (all_2508_0 = all_1696_10) | all_1696_9 =
% 251.40/43.13 | | | | | | | | | | | | all_1409_0
% 251.40/43.13 | | | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | | | BETA: splitting (2818) gives:
% 251.40/43.13 | | | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | | | Case 1:
% 251.40/43.13 | | | | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | | | | (2819) ~ (all_2508_0 = all_1696_10)
% 251.40/43.13 | | | | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | | | | REDUCE: (2794), (2814), (2819) imply:
% 251.40/43.13 | | | | | | | | | | | | | (2820) $false
% 251.40/43.13 | | | | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | | | | CLOSE: (2820) is inconsistent.
% 251.40/43.13 | | | | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | | | Case 2:
% 251.40/43.13 | | | | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | | | | (2821) all_1696_9 = all_1409_0
% 251.40/43.13 | | | | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | | | | COMBINE_EQS: (1605), (2821) imply:
% 251.40/43.13 | | | | | | | | | | | | | (2822) all_1696_9 = all_975_0
% 251.40/43.13 | | | | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | | | | REDUCE: (2378), (2822) imply:
% 251.40/43.13 | | | | | | | | | | | | | (2823) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 251.40/43.13 | | | | | | | | | | | | | all_975_0, all_1666_0) = all_1696_0
% 251.40/43.13 | | | | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | | | | GROUND_INST: instantiating (217) with 0, all_1696_0,
% 251.40/43.13 | | | | | | | | | | | | | all_1666_0, all_975_0, tc_RealDef_Oreal,
% 251.40/43.13 | | | | | | | | | | | | | simplifying with (1734), (2823) gives:
% 251.40/43.13 | | | | | | | | | | | | | (2824) all_1696_0 = 0
% 251.40/43.13 | | | | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | | | | REDUCE: (757), (2824) imply:
% 251.40/43.13 | | | | | | | | | | | | | (2825) $false
% 251.40/43.13 | | | | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | | | | CLOSE: (2825) is inconsistent.
% 251.40/43.13 | | | | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | | | End of split
% 251.40/43.13 | | | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | | End of split
% 251.40/43.13 | | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | | End of split
% 251.40/43.13 | | | | | | | | | |
% 251.40/43.13 | | | | | | | | | End of split
% 251.40/43.13 | | | | | | | | |
% 251.40/43.13 | | | | | | | | End of split
% 251.40/43.13 | | | | | | | |
% 251.40/43.13 | | | | | | | End of split
% 251.40/43.13 | | | | | | |
% 251.40/43.13 | | | | | | End of split
% 251.40/43.13 | | | | | |
% 251.40/43.13 | | | | | End of split
% 251.40/43.13 | | | | |
% 251.40/43.13 | | | | End of split
% 251.40/43.13 | | | |
% 251.40/43.14 | | | End of split
% 251.40/43.14 | | |
% 251.40/43.15 | | Case 2:
% 251.40/43.15 | | |
% 251.40/43.15 | | | (2826) all_1712_0 = 0
% 251.40/43.15 | | |
% 251.40/43.15 | | | COMBINE_EQS: (2379), (2826) imply:
% 251.40/43.15 | | | (2827) all_1696_0 = 0
% 251.40/43.15 | | |
% 251.40/43.15 | | | SIMP: (2827) implies:
% 251.40/43.15 | | | (2828) all_1696_0 = 0
% 251.40/43.15 | | |
% 251.40/43.15 | | | REDUCE: (757), (2828) imply:
% 251.40/43.15 | | | (2829) $false
% 251.40/43.15 | | |
% 251.40/43.15 | | | CLOSE: (2829) is inconsistent.
% 251.40/43.15 | | |
% 251.40/43.15 | | End of split
% 251.40/43.15 | |
% 251.40/43.15 | End of split
% 251.40/43.15 |
% 251.40/43.15 End of proof
% 251.40/43.15 % SZS output end Proof for theBenchmark
% 251.40/43.15
% 251.40/43.15 42562ms
%------------------------------------------------------------------------------