TSTP Solution File: SWW216+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWW216+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 : n011.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 00:49:27 EDT 2023
% Result : Theorem 60.71s 8.76s
% Output : Proof 230.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW216+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 22:55:10 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.21/0.61 ________ _____
% 0.21/0.61 ___ __ \_________(_)________________________________
% 0.21/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.61
% 0.21/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.61 (2023-06-19)
% 0.21/0.61
% 0.21/0.61 (c) Philipp Rümmer, 2009-2023
% 0.21/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.61 Amanda Stjerna.
% 0.21/0.61 Free software under BSD-3-Clause.
% 0.21/0.61
% 0.21/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.61
% 0.21/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.21/0.62 Running up to 7 provers in parallel.
% 0.21/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 18.32/3.21 Prover 1: Preprocessing ...
% 18.32/3.26 Prover 5: Preprocessing ...
% 19.39/3.39 Prover 6: Preprocessing ...
% 20.79/3.65 Prover 3: Preprocessing ...
% 21.78/3.68 Prover 2: Preprocessing ...
% 22.38/3.75 Prover 0: Preprocessing ...
% 22.38/3.79 Prover 4: Preprocessing ...
% 54.45/7.96 Prover 3: Warning: ignoring some quantifiers
% 54.45/8.01 Prover 1: Warning: ignoring some quantifiers
% 55.06/8.12 Prover 3: Constructing countermodel ...
% 56.76/8.23 Prover 1: Constructing countermodel ...
% 59.27/8.61 Prover 6: Proving ...
% 60.71/8.76 Prover 3: proved (8129ms)
% 60.71/8.76
% 60.71/8.76 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 60.71/8.76
% 60.71/8.76 Prover 6: stopped
% 60.71/8.78 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 60.71/8.80 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 64.14/9.24 Prover 4: Warning: ignoring some quantifiers
% 68.03/9.71 Prover 4: Constructing countermodel ...
% 69.27/9.88 Prover 8: Preprocessing ...
% 69.27/10.00 Prover 7: Preprocessing ...
% 72.46/10.28 Prover 2: Proving ...
% 72.46/10.31 Prover 2: stopped
% 73.00/10.32 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 73.00/10.35 Prover 5: Proving ...
% 73.00/10.35 Prover 5: stopped
% 73.00/10.35 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 75.05/10.65 Prover 0: Proving ...
% 75.05/10.65 Prover 0: stopped
% 75.86/10.71 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 81.89/11.48 Prover 10: Preprocessing ...
% 82.99/11.63 Prover 11: Preprocessing ...
% 83.41/11.73 Prover 13: Preprocessing ...
% 84.26/11.79 Prover 8: Warning: ignoring some quantifiers
% 86.04/12.03 Prover 8: Constructing countermodel ...
% 89.33/12.46 Prover 7: Warning: ignoring some quantifiers
% 92.23/12.83 Prover 7: Constructing countermodel ...
% 93.17/12.97 Prover 10: Warning: ignoring some quantifiers
% 94.08/13.14 Prover 10: Constructing countermodel ...
% 102.81/14.21 Prover 13: Warning: ignoring some quantifiers
% 105.21/14.54 Prover 13: Constructing countermodel ...
% 105.21/14.62 Prover 11: Warning: ignoring some quantifiers
% 107.82/14.89 Prover 11: Constructing countermodel ...
% 108.56/14.98 Prover 13: stopped
% 109.02/15.00 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 116.06/15.89 Prover 16: Preprocessing ...
% 116.06/15.97 Prover 1: stopped
% 116.06/15.97 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 125.61/17.19 Prover 19: Preprocessing ...
% 130.34/17.80 Prover 16: Warning: ignoring some quantifiers
% 131.04/17.90 Prover 16: Constructing countermodel ...
% 139.28/18.92 Prover 19: Warning: ignoring some quantifiers
% 140.06/19.04 Prover 19: Constructing countermodel ...
% 148.87/20.14 Prover 16: stopped
% 163.53/22.18 Prover 19: stopped
% 204.50/27.96 Prover 4: stopped
% 211.77/29.30 Prover 7: stopped
% 220.65/31.29 Prover 10: Found proof (size 2987)
% 220.65/31.29 Prover 10: proved (20972ms)
% 220.65/31.30 Prover 8: stopped
% 220.65/31.31 Prover 11: stopped
% 220.65/31.31
% 220.65/31.31 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 220.65/31.31
% 227.17/37.34 % SZS output start Proof for theBenchmark
% 227.17/37.37 Assumptions after simplification:
% 227.17/37.37 ---------------------------------
% 227.17/37.37
% 227.17/37.37 (arity_RealDef__Oreal__Fields_Olinordered__field)
% 227.17/37.37 $i(tc_RealDef_Oreal) & class_Fields_Olinordered__field(tc_RealDef_Oreal)
% 227.17/37.37
% 227.17/37.37 (arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero)
% 227.17/37.37 $i(tc_RealDef_Oreal) &
% 227.17/37.37 class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal)
% 227.17/37.37
% 227.17/37.37 (arity_RealDef__Oreal__Groups_Ogroup__add)
% 227.17/37.37 $i(tc_RealDef_Oreal) & class_Groups_Ogroup__add(tc_RealDef_Oreal)
% 227.17/37.37
% 227.17/37.37 (arity_RealDef__Oreal__Groups_Oordered__ab__group__add)
% 227.17/37.37 $i(tc_RealDef_Oreal) & class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal)
% 227.17/37.37
% 227.17/37.37 (arity_RealDef__Oreal__Int_Onumber__ring)
% 227.17/37.37 $i(tc_RealDef_Oreal) & class_Int_Onumber__ring(tc_RealDef_Oreal)
% 227.17/37.37
% 227.17/37.37 (arity_RealDef__Oreal__Orderings_Oorder)
% 227.17/37.37 $i(tc_RealDef_Oreal) & class_Orderings_Oorder(tc_RealDef_Oreal)
% 227.17/37.37
% 227.17/37.37 (arity_RealDef__Oreal__Rings_Olinordered__idom)
% 227.17/37.37 $i(tc_RealDef_Oreal) & class_Rings_Olinordered__idom(tc_RealDef_Oreal)
% 227.17/37.38
% 227.17/37.38 (arity_RealDef__Oreal__Rings_Olinordered__ring__strict)
% 227.17/37.38 $i(tc_RealDef_Oreal) & class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal)
% 227.17/37.38
% 227.17/37.38 (arity_RealDef__Oreal__Rings_Olinordered__semidom)
% 227.17/37.38 $i(tc_RealDef_Oreal) & class_Rings_Olinordered__semidom(tc_RealDef_Oreal)
% 227.17/37.38
% 227.17/37.38 (arity_RealDef__Oreal__Rings_Olinordered__semiring__strict)
% 227.17/37.38 $i(tc_RealDef_Oreal) &
% 227.17/37.38 class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal)
% 227.17/37.38
% 227.17/37.38 (arity_RealDef__Oreal__Rings_Ono__zero__divisors)
% 227.17/37.38 $i(tc_RealDef_Oreal) & class_Rings_Ono__zero__divisors(tc_RealDef_Oreal)
% 227.17/37.38
% 227.17/37.38 (arity_RealDef__Oreal__Rings_Oordered__cancel__semiring)
% 227.17/37.38 $i(tc_RealDef_Oreal) &
% 227.17/37.38 class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal)
% 227.17/37.38
% 227.17/37.38 (arity_RealDef__Oreal__Rings_Oordered__ring)
% 227.17/37.38 $i(tc_RealDef_Oreal) & class_Rings_Oordered__ring(tc_RealDef_Oreal)
% 227.17/37.38
% 227.17/37.38 (arity_RealDef__Oreal__Rings_Oring__no__zero__divisors)
% 227.17/37.38 $i(tc_RealDef_Oreal) & class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal)
% 227.17/37.38
% 227.17/37.38 (conj_0)
% 227.17/37.40 $i(v_e) & $i(v_da____) & $i(v_m____) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 227.17/37.40 [v1: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v_da____) = v0 &
% 227.17/37.40 hAPP(v0, v_m____) = v1 & $i(v1) & $i(v0) & ~
% 227.17/37.40 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v_e))
% 227.17/37.40
% 227.17/37.40 (fact_DERIV__arctan)
% 227.17/37.40 $i(c_Transcendental_Oarctan) & $i(tc_Nat_Onat) & $i(c_Int_OPls) &
% 227.17/37.40 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 227.17/37.40 (c_Int_OBit0(v1) = v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 227.17/37.40 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 &
% 227.17/37.40 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2) & $i(v1)
% 227.17/37.40 & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~
% 227.17/37.40 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v3) = v5) | ~ $i(v4)
% 227.17/37.40 | ? [v6: $i] : ? [v7: $i] :
% 227.17/37.40 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v6) = v7 &
% 227.17/37.40 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v5) = v6 & $i(v7) &
% 227.17/37.40 $i(v6) & c_Deriv_Oderiv(tc_RealDef_Oreal, c_Transcendental_Oarctan, v4,
% 227.17/37.40 v7))))
% 227.17/37.40
% 227.17/37.40 (fact_DERIV__const__average)
% 227.17/37.41 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 227.17/37.41 $i] : (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 227.17/37.41 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) &
% 227.17/37.41 $i(v1) & $i(v0) & ? [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 227.17/37.41 [v7: $i] : ! [v8: $i] : ! [v9: $i] : (v6 = v5 | ~
% 227.17/37.41 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v5) = v7) | ~
% 227.17/37.41 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v7, v2) = v8) | ~
% 227.17/37.41 (hAPP(v4, v8) = v9) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ?
% 227.17/37.41 [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 227.17/37.41 ($i(v14) & ( ~ c_Deriv_Oderiv(tc_RealDef_Oreal, v4, v14, v3) | (v13 = v9 &
% 227.17/37.41 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v10, v11) = v12 &
% 227.17/37.41 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v12, v2) = v9 &
% 227.17/37.41 hAPP(v4, v6) = v10 & hAPP(v4, v5) = v11 & $i(v12) & $i(v11) &
% 227.17/37.41 $i(v10) & $i(v9))))))
% 227.17/37.41
% 227.17/37.41 (fact_DERIV__ln)
% 227.17/37.41 $i(c_Transcendental_Oln) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 227.17/37.41 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 227.17/37.41 ! [v2: $i] : ( ~ (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v1) =
% 227.17/37.41 v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 227.17/37.41 v1) | c_Deriv_Oderiv(tc_RealDef_Oreal, c_Transcendental_Oln, v1, v2)))
% 227.17/37.41
% 227.17/37.41 (fact_DERIV__ln__divide)
% 227.17/37.41 $i(c_Transcendental_Oln) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 227.17/37.41 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 227.17/37.41 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 227.17/37.41 [v2: $i] : ! [v3: $i] : ( ~
% 227.17/37.41 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v2) = v3) | ~
% 227.17/37.41 $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 227.17/37.41 c_Deriv_Oderiv(tc_RealDef_Oreal, c_Transcendental_Oln, v2, v3)))
% 227.17/37.41
% 227.17/37.41 (fact_DERIV__neg__dec__right)
% 227.17/37.42 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 227.17/37.42 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 227.17/37.42 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (hAPP(v3, v2) = v4) | ~ $i(v3)
% 227.17/37.42 | ~ $i(v2) | ~ $i(v1) | ~ c_Deriv_Oderiv(tc_RealDef_Oreal, v3, v2, v1)
% 227.17/37.42 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | ? [v5: $i]
% 227.17/37.42 : ($i(v5) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5) & !
% 227.17/37.42 [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 227.17/37.42 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v6) = v7) | ~
% 227.17/37.42 (hAPP(v3, v7) = v8) | ~ $i(v6) | ~
% 227.17/37.42 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v5) | ~
% 227.17/37.42 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v6) |
% 227.17/37.42 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v4)))))
% 227.17/37.42
% 227.17/37.42 (fact_DERIV__pos__inc__right)
% 227.17/37.42 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 227.17/37.42 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 227.17/37.42 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (hAPP(v3, v2) = v4) | ~ $i(v3)
% 227.17/37.42 | ~ $i(v2) | ~ $i(v1) | ~ c_Deriv_Oderiv(tc_RealDef_Oreal, v3, v2, v1)
% 227.17/37.42 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) | ? [v5: $i]
% 227.17/37.42 : ($i(v5) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5) & !
% 227.17/37.42 [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 227.17/37.42 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v6) = v7) | ~
% 227.17/37.42 (hAPP(v3, v7) = v8) | ~ $i(v6) | ~
% 227.17/37.42 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v5) | ~
% 227.17/37.42 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v6) |
% 227.17/37.42 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v8)))))
% 227.17/37.42
% 227.17/37.42 (fact_DERIV__real__sqrt)
% 227.17/37.42 $i(c_NthRoot_Osqrt) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 227.17/37.42 [v1: $i] : ? [v2: $i] : ? [v3: $i] : (c_Int_OBit0(v1) = v2 &
% 227.17/37.42 c_Int_OBit1(c_Int_OPls) = v1 &
% 227.17/37.42 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 227.17/37.42 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2) &
% 227.17/37.42 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v4)
% 227.17/37.42 = v5) | ~ $i(v4) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.17/37.42 v0, v4) | ? [v6: $i] : ? [v7: $i] :
% 227.17/37.42 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v5) = v6 &
% 227.17/37.42 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v3) = v7 & $i(v7)
% 227.17/37.42 & $i(v6) & c_Deriv_Oderiv(tc_RealDef_Oreal, c_NthRoot_Osqrt, v4, v7))))
% 227.17/37.42
% 227.17/37.42 (fact_DERIV__real__sqrt__generic)
% 227.17/37.43 $i(c_NthRoot_Osqrt) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 227.17/37.43 [v1: $i] : ? [v2: $i] : ? [v3: $i] : (c_Int_OBit0(v1) = v2 &
% 227.17/37.43 c_Int_OBit1(c_Int_OPls) = v1 &
% 227.17/37.43 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 227.17/37.43 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2) &
% 227.17/37.43 $i(v1) & $i(v0) & ? [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v5 = v0 | ~
% 227.17/37.43 (hAPP(c_NthRoot_Osqrt, v5) = v6) | ~ $i(v5) | ~ $i(v4) |
% 227.17/37.43 c_Deriv_Oderiv(tc_RealDef_Oreal, c_NthRoot_Osqrt, v5, v4) | ? [v7: $i] :
% 227.17/37.43 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] :
% 227.17/37.43 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v6) = v7 & $i(v7) & ((
% 227.17/37.43 ~ (v10 = v4) & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v7)
% 227.17/37.43 = v9 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v9, v3) =
% 227.17/37.43 v10 & $i(v10) & $i(v9) &
% 227.17/37.43 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v0)) | ( ~ (v8 =
% 227.17/37.43 v4) & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v7, v3) =
% 227.17/37.43 v8 & $i(v8) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 227.17/37.43 v5))))))
% 227.17/37.43
% 227.17/37.43 (fact_H_I1_J)
% 227.17/37.43 $i(v_da____) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 227.17/37.43 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) &
% 227.17/37.43 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_da____))
% 227.17/37.43
% 227.17/37.43 (fact_H_I2_J)
% 227.17/37.43 $i(v_da____) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 227.17/37.43 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) &
% 227.17/37.43 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_da____, v0))
% 227.17/37.43
% 227.17/37.43 (fact_H_I3_J)
% 227.17/37.43 $i(v_e) & $i(v_da____) & $i(v_m____) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 227.17/37.43 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e, v_m____) = v0 & $i(v0)
% 227.17/37.43 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_da____, v0))
% 227.17/37.43
% 227.17/37.43 (fact_INVERSE__ZERO)
% 227.17/37.43 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 227.17/37.43 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v0) = v0 &
% 227.17/37.43 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0))
% 227.17/37.43
% 227.17/37.43 (fact_Nat_Oadd__0__right)
% 227.17/37.43 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 227.17/37.43 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 227.17/37.43 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ $i(v1)))
% 227.17/37.43
% 227.17/37.43 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J)
% 227.17/37.43 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 227.17/37.43 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 227.17/37.43 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v3) | ~ $i(v2) | ~
% 227.17/37.43 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | ~
% 227.17/37.43 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) |
% 227.17/37.43 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3)))
% 227.17/37.43
% 227.17/37.43 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J)
% 227.17/37.43 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 227.17/37.43 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 227.17/37.43 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v2) = v3) | ~ (hAPP(v3, v1) =
% 227.17/37.43 v4) | ~ $i(v2) | ~ $i(v1) | ~
% 227.17/37.43 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | ~
% 227.17/37.43 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) |
% 227.17/37.43 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v4)))
% 227.17/37.43
% 227.17/37.44 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J)
% 227.17/37.44 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 227.17/37.44 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 227.17/37.44 (c_Power_Opower__class_Opower(tc_Int_Oint, v2, v1) = v3) | ~ $i(v2) | ~
% 227.17/37.44 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) |
% 227.17/37.44 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3)))
% 227.17/37.44
% 227.17/37.44 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J)
% 227.17/37.44 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 227.17/37.44 & $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v0))
% 227.17/37.44
% 227.17/37.44 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J)
% 227.17/37.44 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 227.17/37.44 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 &
% 227.17/37.44 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0) &
% 227.17/37.44 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1))
% 227.17/37.44
% 227.17/37.44 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J)
% 227.17/37.44 $i(c_Int_OPls) & $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 227.17/37.44 ? [v3: $i] : (c_Int_OBit0(v1) = v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 227.17/37.44 c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 &
% 227.17/37.44 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v3) & $i(v2) & $i(v1) &
% 227.17/37.44 $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3))
% 227.17/37.44
% 227.17/37.44 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J)
% 227.17/37.44 $i(c_Int_OPls) & $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 227.17/37.44 ? [v3: $i] : (c_Int_OBit1(v1) = v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 227.17/37.44 c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 &
% 227.17/37.44 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v3) & $i(v2) & $i(v1) &
% 227.17/37.44 $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3))
% 227.17/37.44
% 227.17/37.44 (fact_Pls__def)
% 227.17/37.44 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Int_OPls & $i(c_Int_OPls) &
% 227.17/37.44 $i(tc_Int_Oint)
% 227.17/37.44
% 227.17/37.44 (fact__096EX_Aea_0620_O_Aea_A_060_A1_A_G_Aea_A_060_Ae_A_P_Am_096)
% 227.17/37.44 $i(v_e) & $i(v_m____) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ?
% 227.17/37.44 [v2: $i] : ? [v3: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 227.17/37.44 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e, v_m____) = v2 &
% 227.17/37.44 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2) &
% 227.17/37.44 $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2) &
% 227.17/37.44 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v1) &
% 227.17/37.44 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3))
% 227.17/37.44
% 227.17/37.44 (fact__096_B_Bthesis_O_A_I_B_Bd_O_A_091_124_A0_A_060_Ad_059_Ad_A_060_A1_059_Ad_A_060_Ae_A_P_Am_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096)
% 227.17/37.45 $i(v_e) & $i(v_m____) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ?
% 227.17/37.45 [v2: $i] : ? [v3: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 227.17/37.45 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e, v_m____) = v2 &
% 227.17/37.45 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2) &
% 227.17/37.45 $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2) &
% 227.17/37.45 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v1) &
% 227.17/37.45 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3))
% 227.17/37.45
% 227.17/37.45 (fact_add__eq__self__zero)
% 227.17/37.45 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 227.17/37.45 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 227.17/37.45 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v2) | ~ $i(v2) | ~
% 227.17/37.45 $i(v1)))
% 227.17/37.45
% 227.17/37.45 (fact_add__gr__0)
% 227.17/37.45 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 227.17/37.45 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 227.17/37.45 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ $i(v2) | ~
% 227.17/37.45 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) |
% 227.17/37.45 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) |
% 227.17/37.45 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1)) & ! [v1: $i] : !
% 227.17/37.45 [v2: $i] : ! [v3: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2,
% 227.17/37.45 v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 227.17/37.45 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) |
% 227.17/37.45 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3)) & ! [v1: $i] : !
% 227.17/37.45 [v2: $i] : ! [v3: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2,
% 227.17/37.45 v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 227.17/37.45 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) |
% 227.17/37.45 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3)))
% 227.17/37.45
% 227.17/37.45 (fact_add__is__0)
% 227.17/37.45 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 227.17/37.45 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~
% 227.17/37.45 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v0) | ~ $i(v2) | ~
% 227.17/37.45 $i(v1)) & ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 227.17/37.45 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v0) | ~ $i(v2) | ~
% 227.17/37.45 $i(v1)) & ! [v1: $i] : (v1 = v0 | ~
% 227.17/37.45 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v0) = v1)))
% 227.17/37.45
% 227.17/37.45 (fact_add__special_I2_J)
% 227.17/37.46 $i(c_Int_OPls) & $i(tc_Int_Oint) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0
% 227.17/37.46 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 227.17/37.46 (c_Int_Onumber__class_Onumber__of(v2, v3) = v4) | ~
% 227.17/37.46 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v3) | ~ $i(v2) | ~
% 227.17/37.46 $i(v1) | ~ class_Int_Onumber__ring(v2) | ? [v5: $i] : ? [v6: $i] :
% 227.17/37.46 (c_Int_Onumber__class_Onumber__of(v2, v1) = v6 &
% 227.17/37.46 c_Groups_Oplus__class_Oplus(v2, v5, v6) = v4 &
% 227.17/37.46 c_Groups_Oone__class_Oone(v2) = v5 & $i(v6) & $i(v5) & $i(v4))))
% 227.17/37.46
% 227.17/37.46 (fact_add__special_I3_J)
% 227.17/37.46 $i(c_Int_OPls) & $i(tc_Int_Oint) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0
% 227.17/37.46 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 227.17/37.46 (c_Int_Onumber__class_Onumber__of(v2, v3) = v4) | ~
% 227.17/37.46 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~ $i(v2) | ~
% 227.17/37.46 $i(v1) | ~ class_Int_Onumber__ring(v2) | ? [v5: $i] : ? [v6: $i] :
% 227.17/37.46 (c_Int_Onumber__class_Onumber__of(v2, v1) = v5 &
% 227.17/37.46 c_Groups_Oplus__class_Oplus(v2, v5, v6) = v4 &
% 227.17/37.46 c_Groups_Oone__class_Oone(v2) = v6 & $i(v6) & $i(v5) & $i(v4))))
% 227.17/37.46
% 227.17/37.46 (fact_arctan__half)
% 227.17/37.46 $i(c_Transcendental_Oarctan) & $i(c_NthRoot_Osqrt) & $i(tc_Nat_Onat) &
% 227.17/37.46 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 227.17/37.46 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : (c_Int_OBit0(v0) = v1 &
% 227.17/37.46 c_Int_OBit1(c_Int_OPls) = v0 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 227.17/37.46 v1) = v5 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 227.17/37.46 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) = v3 &
% 227.17/37.46 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v4 & $i(v5) & $i(v4) & $i(v3)
% 227.17/37.46 & $i(v2) & $i(v1) & $i(v0) & ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : !
% 227.17/37.46 [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 227.17/37.46 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v6, v5) = v7) | ~
% 227.17/37.46 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v9) = v10) | ~
% 227.17/37.46 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v7) = v8) | ~
% 227.17/37.46 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v10) = v11) | ~
% 227.17/37.46 (hAPP(c_NthRoot_Osqrt, v8) = v9) | ~ $i(v6) | ? [v12: $i] : ? [v13: $i]
% 227.17/37.46 : (hAPP(v3, v13) = v12 & hAPP(c_Transcendental_Oarctan, v11) = v13 &
% 227.17/37.46 hAPP(c_Transcendental_Oarctan, v6) = v12 & $i(v13) & $i(v12))))
% 227.17/37.46
% 227.17/37.46 (fact_arctan__zero__zero)
% 227.17/37.46 $i(c_Transcendental_Oarctan) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 227.17/37.46 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.17/37.46 hAPP(c_Transcendental_Oarctan, v0) = v0 & $i(v0))
% 227.17/37.46
% 227.17/37.46 (fact_assms)
% 227.17/37.47 $i(v_e) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 227.17/37.47 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) &
% 227.17/37.47 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_e))
% 227.17/37.47
% 227.17/37.47 (fact_bin__less__0__simps_I1_J)
% 227.17/37.47 $i(c_Int_OPls) & $i(tc_Int_Oint) & ? [v0: $i] :
% 227.17/37.47 (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) & ~
% 227.17/37.47 c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0))
% 227.17/37.47
% 227.17/37.47 (fact_bin__less__0__simps_I3_J)
% 227.17/37.47 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 227.17/37.47 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_Int_OBit0(v1) = v2) | ~
% 227.17/37.47 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) |
% 227.17/37.47 c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v1: $i] : !
% 227.17/37.47 [v2: $i] : ( ~ (c_Int_OBit0(v1) = v2) | ~ $i(v1) | ~
% 227.17/37.47 c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) |
% 227.17/37.47 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0)))
% 227.17/37.47
% 227.17/37.47 (fact_bin__less__0__simps_I4_J)
% 227.17/37.47 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 227.17/37.47 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_Int_OBit1(v1) = v2) | ~
% 227.17/37.47 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) |
% 227.17/37.47 c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v1: $i] : !
% 227.17/37.47 [v2: $i] : ( ~ (c_Int_OBit1(v1) = v2) | ~ $i(v1) | ~
% 227.17/37.47 c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) |
% 227.17/37.47 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0)))
% 227.17/37.47
% 227.17/37.47 (fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J)
% 227.17/37.47 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 227.17/37.47 (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 227.17/37.47 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 227.17/37.47 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 227.42/37.47 (c_Power_Opower__class_Opower(v4, v3, v2) = v5) | ~ $i(v4) | ~ $i(v3) |
% 227.42/37.47 ~ class_Rings_Ocomm__semiring__1(v4) | ? [v6: $i] :
% 227.42/37.47 (c_Groups_Otimes__class_Otimes(v4, v3) = v6 & hAPP(v6, v3) = v5 & $i(v6) &
% 227.42/37.47 $i(v5))))
% 227.42/37.47
% 227.42/37.47 (fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J)
% 227.42/37.47 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 227.42/37.47 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 227.42/37.47 (c_Power_Opower__class_Opower(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 227.42/37.47 ~ class_Rings_Ocomm__semiring__1(v2) | (c_Groups_Oone__class_Oone(v2) = v3
% 227.42/37.47 & $i(v3))))
% 227.42/37.47
% 227.42/37.47 (fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J)
% 227.42/37.48 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 227.42/37.48 ? [v3: $i] : (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 227.42/37.48 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 227.42/37.48 c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3 & $i(v3) & $i(v2) &
% 227.42/37.48 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 227.42/37.48 [v8: $i] : ( ~ (c_Power_Opower__class_Opower(v6, v5, v7) = v8) | ~
% 227.42/37.48 (hAPP(v3, v4) = v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~
% 227.42/37.48 class_Rings_Ocomm__semiring__1(v6) | ? [v9: $i] : ? [v10: $i] :
% 227.42/37.48 (c_Power_Opower__class_Opower(v6, v5, v4) = v9 &
% 227.42/37.48 c_Groups_Otimes__class_Otimes(v6, v9) = v10 & hAPP(v10, v9) = v8 &
% 227.42/37.48 $i(v10) & $i(v9) & $i(v8))))
% 227.42/37.48
% 227.42/37.48 (fact_cos__x__y__le__one)
% 227.72/37.48 $i(c_NthRoot_Osqrt) & $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal)
% 227.72/37.48 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (c_Int_OBit0(v0) =
% 227.72/37.48 v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 227.72/37.48 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 227.72/37.48 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v3 & $i(v3) & $i(v2) & $i(v1)
% 227.72/37.48 & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8:
% 227.72/37.48 $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 227.72/37.48 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) = v6) | ~
% 227.72/37.48 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v7) | ~
% 227.72/37.48 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v7) = v8) | ~
% 227.72/37.48 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v9) = v10) | ~
% 227.72/37.48 (hAPP(c_NthRoot_Osqrt, v8) = v9) | ~ $i(v5) | ~ $i(v4) | ? [v11: $i] :
% 227.72/37.48 (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v10) = v11 & $i(v11) &
% 227.72/37.48 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v11, v3))))
% 227.72/37.48
% 227.72/37.48 (fact_csqrt)
% 227.72/37.48 $i(tc_Complex_Ocomplex) & $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ?
% 227.72/37.48 [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0
% 227.72/37.48 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 227.72/37.48 $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 227.72/37.48 (c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(v3) = v4) | ~ $i(v3) |
% 227.72/37.48 c_Power_Opower__class_Opower(tc_Complex_Ocomplex, v4, v2) = v3))
% 227.72/37.48
% 227.72/37.48 (fact_d1_I2_J)
% 227.72/37.48 $i(v_da____) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 227.72/37.48 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) &
% 227.72/37.48 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v_da____))
% 227.72/37.48
% 227.72/37.48 (fact_d_I1_J)
% 227.72/37.48 $i(v_d____) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 227.72/37.48 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) &
% 227.72/37.48 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_d____))
% 227.72/37.48
% 227.72/37.48 (fact_d_I2_J)
% 227.72/37.48 $i(v_d____) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 227.72/37.48 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) &
% 227.72/37.48 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_d____, v0))
% 227.72/37.48
% 227.72/37.48 (fact_d_I3_J)
% 227.72/37.49 $i(v_d____) & $i(v_e) & $i(v_m____) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 227.72/37.49 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e, v_m____) = v0 & $i(v0)
% 227.72/37.49 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_d____, v0))
% 227.72/37.49
% 227.72/37.49 (fact_divide__Numeral1)
% 227.72/37.49 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & !
% 227.72/37.49 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~
% 227.72/37.49 (c_Int_Onumber__class_Onumber__of(v2, v0) = v3) | ~
% 227.72/37.49 (c_Rings_Oinverse__class_Odivide(v2, v1, v3) = v4) | ~ $i(v2) | ~ $i(v1)
% 227.72/37.49 | ~ class_Int_Onumber__ring(v2) | ~ class_Fields_Ofield(v2)))
% 227.72/37.49
% 227.72/37.49 (fact_divide__le__0__iff)
% 227.72/37.49 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 227.72/37.49 (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 227.72/37.49 ~ $i(v0) | ~ class_Fields_Olinordered__field__inverse__zero(v2) | ? [v4:
% 227.72/37.49 $i] : (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 227.72/37.49 c_Orderings_Oord__class_Oless__eq(v2, v3, v4) |
% 227.72/37.49 (c_Orderings_Oord__class_Oless__eq(v2, v4, v1) &
% 227.72/37.49 c_Orderings_Oord__class_Oless__eq(v2, v0, v4)) |
% 227.72/37.49 (c_Orderings_Oord__class_Oless__eq(v2, v4, v0) &
% 227.72/37.49 c_Orderings_Oord__class_Oless__eq(v2, v1, v4))) &
% 227.72/37.49 (c_Orderings_Oord__class_Oless__eq(v2, v3, v4) | (( ~
% 227.72/37.49 c_Orderings_Oord__class_Oless__eq(v2, v4, v1) | ~
% 227.72/37.49 c_Orderings_Oord__class_Oless__eq(v2, v0, v4)) & ( ~
% 227.72/37.49 c_Orderings_Oord__class_Oless__eq(v2, v4, v0) | ~
% 227.72/37.49 c_Orderings_Oord__class_Oless__eq(v2, v1, v4))))))
% 227.72/37.49
% 227.72/37.49 (fact_divide__less__0__iff)
% 227.72/37.49 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 227.72/37.49 (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 227.72/37.49 ~ $i(v0) | ~ class_Fields_Olinordered__field__inverse__zero(v2) | ? [v4:
% 227.72/37.49 $i] : (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 227.72/37.49 c_Orderings_Oord__class_Oless(v2, v3, v4) |
% 227.72/37.49 (c_Orderings_Oord__class_Oless(v2, v4, v1) &
% 227.72/37.49 c_Orderings_Oord__class_Oless(v2, v0, v4)) |
% 227.72/37.49 (c_Orderings_Oord__class_Oless(v2, v4, v0) &
% 227.72/37.49 c_Orderings_Oord__class_Oless(v2, v1, v4))) &
% 227.72/37.49 (c_Orderings_Oord__class_Oless(v2, v3, v4) | (( ~
% 227.72/37.49 c_Orderings_Oord__class_Oless(v2, v4, v1) | ~
% 227.72/37.49 c_Orderings_Oord__class_Oless(v2, v0, v4)) & ( ~
% 227.72/37.49 c_Orderings_Oord__class_Oless(v2, v4, v0) | ~
% 227.72/37.49 c_Orderings_Oord__class_Oless(v2, v1, v4))))))
% 227.72/37.49
% 227.72/37.49 (fact_divide__neg__pos)
% 227.72/37.49 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 227.72/37.49 (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 227.72/37.49 ~ $i(v0) | ~ class_Fields_Olinordered__field(v2) | ? [v4: $i] :
% 227.72/37.49 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 227.72/37.49 c_Orderings_Oord__class_Oless(v2, v4, v0) | ~
% 227.72/37.49 c_Orderings_Oord__class_Oless(v2, v1, v4) |
% 227.72/37.49 c_Orderings_Oord__class_Oless(v2, v3, v4))))
% 227.72/37.49
% 227.72/37.49 (fact_divide__nonneg__neg)
% 227.72/37.49 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 227.72/37.49 (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 227.72/37.49 ~ $i(v0) | ~ class_Fields_Olinordered__field(v2) | ? [v4: $i] :
% 227.72/37.49 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 227.72/37.49 c_Orderings_Oord__class_Oless__eq(v2, v4, v1) | ~
% 227.72/37.49 c_Orderings_Oord__class_Oless(v2, v0, v4) |
% 227.72/37.49 c_Orderings_Oord__class_Oless__eq(v2, v3, v4))))
% 227.72/37.49
% 227.72/37.49 (fact_divide__nonneg__pos)
% 227.72/37.49 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 227.72/37.49 (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 227.72/37.49 ~ $i(v0) | ~ class_Fields_Olinordered__field(v2) | ? [v4: $i] :
% 227.72/37.49 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 227.72/37.49 c_Orderings_Oord__class_Oless__eq(v2, v4, v1) | ~
% 227.72/37.49 c_Orderings_Oord__class_Oless(v2, v4, v0) |
% 227.72/37.49 c_Orderings_Oord__class_Oless__eq(v2, v4, v3))))
% 227.72/37.49
% 227.72/37.49 (fact_divide__nonpos__neg)
% 227.72/37.50 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 227.72/37.50 (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 227.72/37.50 ~ $i(v0) | ~ class_Fields_Olinordered__field(v2) | ? [v4: $i] :
% 227.72/37.50 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 227.72/37.50 c_Orderings_Oord__class_Oless__eq(v2, v1, v4) | ~
% 227.72/37.50 c_Orderings_Oord__class_Oless(v2, v0, v4) |
% 227.72/37.50 c_Orderings_Oord__class_Oless__eq(v2, v4, v3))))
% 227.72/37.50
% 227.72/37.50 (fact_divide__nonpos__pos)
% 227.72/37.50 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 227.72/37.50 (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 227.72/37.50 ~ $i(v0) | ~ class_Fields_Olinordered__field(v2) | ? [v4: $i] :
% 227.72/37.50 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 227.72/37.50 c_Orderings_Oord__class_Oless__eq(v2, v1, v4) | ~
% 227.72/37.50 c_Orderings_Oord__class_Oless(v2, v4, v0) |
% 227.72/37.50 c_Orderings_Oord__class_Oless__eq(v2, v3, v4))))
% 227.72/37.50
% 227.72/37.50 (fact_divide__numeral__1)
% 227.72/37.50 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & !
% 227.72/37.50 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~
% 227.72/37.50 (c_Int_Onumber__class_Onumber__of(v2, v0) = v3) | ~
% 227.72/37.50 (c_Rings_Oinverse__class_Odivide(v2, v1, v3) = v4) | ~ $i(v2) | ~ $i(v1)
% 227.72/37.50 | ~ class_Int_Onumber__ring(v2) | ~ class_Fields_Ofield(v2)))
% 227.72/37.50
% 227.72/37.50 (fact_divide__pos__neg)
% 227.72/37.50 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 227.72/37.50 (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 227.72/37.50 ~ $i(v0) | ~ class_Fields_Olinordered__field(v2) | ? [v4: $i] :
% 227.72/37.50 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 227.72/37.50 c_Orderings_Oord__class_Oless(v2, v4, v1) | ~
% 227.72/37.50 c_Orderings_Oord__class_Oless(v2, v0, v4) |
% 227.72/37.50 c_Orderings_Oord__class_Oless(v2, v3, v4))))
% 227.72/37.50
% 227.72/37.50 (fact_divisors__zero)
% 227.72/37.50 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 227.72/37.50 (c_Groups_Otimes__class_Otimes(v2, v1) = v3) | ~ (hAPP(v3, v0) = v4) | ~
% 227.72/37.50 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ class_Rings_Ono__zero__divisors(v2) | ?
% 227.72/37.50 [v5: $i] : (c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v5) & ( ~ (v5 = v4) |
% 227.72/37.50 v4 = v1 | v4 = v0)))
% 227.72/37.50
% 227.72/37.50 (fact_dm_I1_J)
% 227.72/37.50 $i(v_d____) & $i(v_m____) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 227.72/37.50 ? [v2: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v_d____) = v1 &
% 227.72/37.50 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & hAPP(v1, v_m____) = v2
% 227.72/37.50 & $i(v2) & $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.72/37.50 v0, v2))
% 227.72/37.50
% 227.72/37.50 (fact_dm_I2_J)
% 227.72/37.50 $i(v_d____) & $i(v_e) & $i(v_m____) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 227.72/37.50 [v1: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v_d____) = v0 &
% 227.72/37.50 hAPP(v0, v_m____) = v1 & $i(v1) & $i(v0) &
% 227.72/37.50 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v_e))
% 227.72/37.50
% 227.72/37.50 (fact_em0)
% 227.72/37.50 $i(v_e) & $i(v_m____) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 227.72/37.50 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e, v_m____) = v1 &
% 227.72/37.50 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) &
% 227.72/37.50 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1))
% 227.72/37.50
% 227.72/37.50 (fact_eq__0__number__of)
% 227.72/37.50 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_Int_Oint) & ? [v0: $i] :
% 227.72/37.50 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) & ! [v1: $i] : !
% 227.72/37.50 [v2: $i] : (v2 = v0 | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1)
% 227.72/37.50 = v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 227.72/37.50 v1, c_Int_OPls)) & ! [v1: $i] : ( ~
% 227.72/37.50 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v0) | ~ $i(v1) |
% 227.72/37.50 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, c_Int_OPls)))
% 227.72/37.50
% 227.72/37.50 (fact_eq__divide__2__times__iff)
% 227.72/37.51 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 227.72/37.51 $i] : ? [v3: $i] : (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 227.72/37.51 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 227.72/37.51 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) = v3 & $i(v3) & $i(v2) &
% 227.72/37.51 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 227.72/37.51 [v8: $i] : ! [v9: $i] : (v9 = v6 | ~
% 227.72/37.51 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v8) = v9) | ~
% 227.72/37.51 (hAPP(v3, v6) = v7) | ~ (hAPP(v3, v4) = v8) | ~ $i(v6) | ~ $i(v5) | ~
% 227.72/37.51 $i(v4) | ? [v10: $i] : ( ~ (v10 = v7) &
% 227.72/37.51 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v4) = v10 &
% 227.72/37.51 $i(v10))) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 227.72/37.51 [v8: $i] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v7) =
% 227.72/37.51 v6) | ~ (hAPP(v3, v6) = v8) | ~ (hAPP(v3, v4) = v7) | ~ $i(v6) | ~
% 227.72/37.51 $i(v5) | ~ $i(v4) | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 227.72/37.51 v5, v4) = v8 & $i(v8))))
% 227.72/37.51
% 227.72/37.51 (fact_eq__number__of__0)
% 227.87/37.51 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_Int_Oint) & ? [v0: $i] :
% 227.87/37.51 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) & ! [v1: $i] : !
% 227.87/37.51 [v2: $i] : (v2 = v0 | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1)
% 227.87/37.51 = v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 227.87/37.51 v1, c_Int_OPls)) & ! [v1: $i] : ( ~
% 227.87/37.51 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v0) | ~ $i(v1) |
% 227.87/37.51 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, c_Int_OPls)))
% 227.87/37.51
% 227.87/37.51 (fact_eq__special_I2_J)
% 227.87/37.51 $i(c_Int_OPls) & $i(tc_Int_Oint) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0
% 227.87/37.51 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 227.87/37.51 $i] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v3) | ~
% 227.87/37.51 (c_Int_Onumber__class_Onumber__of(v2, v4) = v5) | ~
% 227.87/37.51 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v3) = v4) | ~ $i(v2) | ~
% 227.87/37.51 $i(v1) | ~ class_Int_Onumber__ring(v2) | ? [v6: $i] : ? [v7: $i] : (( ~
% 227.87/37.51 c_Int_Oiszero(v2, v5) | (v7 = v6 &
% 227.87/37.51 c_Int_Onumber__class_Onumber__of(v2, v1) = v6 &
% 227.87/37.51 c_Groups_Oone__class_Oone(v2) = v6 & $i(v6))) & (c_Int_Oiszero(v2,
% 227.87/37.51 v5) | ( ~ (v7 = v6) & c_Int_Onumber__class_Onumber__of(v2, v1) = v7
% 227.87/37.51 & c_Groups_Oone__class_Oone(v2) = v6 & $i(v7) & $i(v6))))))
% 227.87/37.51
% 227.87/37.51 (fact_eq__special_I4_J)
% 227.87/37.51 $i(c_Int_OPls) & $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 227.87/37.51 (c_Int_OBit1(c_Int_OPls) = v0 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,
% 227.87/37.51 v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 227.87/37.51 [v5: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v3, v4) = v5) | ~
% 227.87/37.51 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v4) | ~ $i(v3) | ~
% 227.87/37.51 $i(v2) | ~ class_Int_Onumber__ring(v3) | ? [v6: $i] : ? [v7: $i] : (( ~
% 227.87/37.51 c_Int_Oiszero(v3, v5) | (v7 = v6 &
% 227.87/37.51 c_Int_Onumber__class_Onumber__of(v3, v2) = v6 &
% 227.87/37.51 c_Groups_Oone__class_Oone(v3) = v6 & $i(v6))) & (c_Int_Oiszero(v3,
% 227.87/37.51 v5) | ( ~ (v7 = v6) & c_Int_Onumber__class_Onumber__of(v3, v2) = v6
% 227.87/37.51 & c_Groups_Oone__class_Oone(v3) = v7 & $i(v7) & $i(v6))))))
% 227.87/37.51
% 227.87/37.51 (fact_even__power__le__0__imp__0)
% 227.87/37.51 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 227.87/37.51 ? [v3: $i] : (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 227.87/37.51 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 227.87/37.51 c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3 & $i(v3) & $i(v2) &
% 227.87/37.51 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 227.87/37.51 [v8: $i] : ( ~ (c_Power_Opower__class_Opower(v6, v5, v7) = v8) | ~
% 227.87/37.51 (hAPP(v3, v4) = v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~
% 227.87/37.51 class_Rings_Olinordered__idom(v6) | ? [v9: $i] :
% 227.87/37.51 (c_Groups_Ozero__class_Ozero(v6) = v9 & $i(v9) & (v9 = v5 | ~
% 227.87/37.51 c_Orderings_Oord__class_Oless__eq(v6, v8, v9)))))
% 227.87/37.51
% 227.87/37.51 (fact_exp__eq__one__iff)
% 227.87/37.51 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 227.87/37.51 (c_Transcendental_Oexp(tc_RealDef_Oreal) = v0 &
% 227.87/37.51 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 227.87/37.51 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v2 & $i(v2) & $i(v1) &
% 227.87/37.51 $i(v0) & ! [v3: $i] : (v3 = v2 | ~ (hAPP(v0, v3) = v1) | ~ $i(v3)) & !
% 227.87/37.51 [v3: $i] : (v3 = v1 | ~ (hAPP(v0, v2) = v3)))
% 227.87/37.51
% 227.87/37.51 (fact_exp__ge__add__one__self__aux)
% 227.87/37.52 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 227.87/37.52 (c_Transcendental_Oexp(tc_RealDef_Oreal) = v2 &
% 227.87/37.52 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 227.87/37.52 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v2) & $i(v1) &
% 227.87/37.52 $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 227.87/37.52 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v3) = v4) | ~ $i(v3) |
% 227.87/37.52 ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) | ? [v5:
% 227.87/37.52 $i] : (hAPP(v2, v3) = v5 & $i(v5) &
% 227.87/37.52 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5))))
% 227.87/37.52
% 227.87/37.52 (fact_exp__ge__zero)
% 227.87/37.52 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 227.87/37.52 (c_Transcendental_Oexp(tc_RealDef_Oreal) = v1 &
% 227.87/37.52 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 227.87/37.52 [v2: $i] : ! [v3: $i] : ( ~ (hAPP(v1, v2) = v3) | ~ $i(v2) |
% 227.87/37.52 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)))
% 227.87/37.52
% 227.87/37.52 (fact_exp__gt__one)
% 227.87/37.52 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 227.87/37.52 (c_Transcendental_Oexp(tc_RealDef_Oreal) = v2 &
% 227.87/37.52 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 227.87/37.52 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v2) & $i(v1) &
% 227.87/37.52 $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~ (hAPP(v2, v3) = v4) | ~ $i(v3) |
% 227.87/37.52 ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) |
% 227.87/37.52 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v4)))
% 227.87/37.52
% 227.87/37.52 (fact_exp__gt__zero)
% 227.87/37.52 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 227.87/37.52 (c_Transcendental_Oexp(tc_RealDef_Oreal) = v1 &
% 227.87/37.52 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 227.87/37.52 [v2: $i] : ! [v3: $i] : ( ~ (hAPP(v1, v2) = v3) | ~ $i(v2) |
% 227.87/37.52 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)))
% 227.87/37.52
% 227.87/37.52 (fact_exp__le__one__iff)
% 227.87/37.52 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 227.87/37.52 (c_Transcendental_Oexp(tc_RealDef_Oreal) = v0 &
% 227.87/37.52 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 227.87/37.52 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v2 & $i(v2) & $i(v1) &
% 227.87/37.52 $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~ (hAPP(v0, v3) = v4) | ~ $i(v3) |
% 227.87/37.52 ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v1) |
% 227.87/37.52 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2)) & ! [v3: $i]
% 227.87/37.52 : ! [v4: $i] : ( ~ (hAPP(v0, v3) = v4) | ~ $i(v3) | ~
% 227.87/37.52 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2) |
% 227.87/37.52 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v1)))
% 227.87/37.52
% 227.87/37.52 (fact_exp__less__one__iff)
% 227.87/37.52 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 227.87/37.52 (c_Transcendental_Oexp(tc_RealDef_Oreal) = v0 &
% 227.87/37.52 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 227.87/37.52 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v2 & $i(v2) & $i(v1) &
% 227.87/37.52 $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~ (hAPP(v0, v3) = v4) | ~ $i(v3) |
% 227.87/37.52 ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v1) |
% 227.87/37.52 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2)) & ! [v3: $i] :
% 227.87/37.52 ! [v4: $i] : ( ~ (hAPP(v0, v3) = v4) | ~ $i(v3) | ~
% 227.87/37.52 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2) |
% 227.87/37.52 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v1)))
% 227.87/37.52
% 227.87/37.52 (fact_exp__ln)
% 227.87/37.52 $i(c_Transcendental_Oln) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 227.87/37.52 (c_Transcendental_Oexp(tc_RealDef_Oreal) = v1 &
% 227.87/37.52 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 227.87/37.52 [v2: $i] : ! [v3: $i] : ( ~ (hAPP(c_Transcendental_Oln, v2) = v3) | ~
% 227.87/37.52 $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 227.87/37.52 hAPP(v1, v3) = v2))
% 227.87/37.52
% 227.87/37.52 (fact_exp__ln__iff)
% 227.87/37.52 $i(c_Transcendental_Oln) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 227.87/37.52 (c_Transcendental_Oexp(tc_RealDef_Oreal) = v0 &
% 227.87/37.52 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & !
% 227.87/37.52 [v2: $i] : ! [v3: $i] : ( ~ (hAPP(c_Transcendental_Oln, v2) = v3) | ~
% 227.87/37.52 $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) |
% 227.87/37.52 hAPP(v0, v3) = v2) & ! [v2: $i] : ! [v3: $i] : ( ~
% 227.87/37.52 (hAPP(c_Transcendental_Oln, v2) = v3) | ~ $i(v2) |
% 227.87/37.52 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) | ? [v4: $i] : (
% 227.87/37.52 ~ (v4 = v2) & hAPP(v0, v3) = v4 & $i(v4))))
% 227.87/37.52
% 227.87/37.52 (fact_four__x__squared)
% 227.97/37.53 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 227.97/37.53 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i]
% 227.97/37.53 : ? [v7: $i] : (c_Int_OBit0(v1) = v2 & c_Int_OBit0(v0) = v1 &
% 227.97/37.53 c_Int_OBit1(c_Int_OPls) = v0 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 227.97/37.53 v1) = v5 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 227.97/37.53 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v6 &
% 227.97/37.53 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v6) = v7 &
% 227.97/37.53 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3) = v4 & $i(v7) & $i(v6) &
% 227.97/37.53 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v8: $i] : ! [v9:
% 227.97/37.53 $i] : ( ~ (hAPP(v7, v8) = v9) | ~ $i(v8) | ? [v10: $i] : ? [v11: $i] :
% 227.97/37.53 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v9, v5) = v11 &
% 227.97/37.53 c_Power_Opower__class_Opower(tc_RealDef_Oreal, v8, v5) = v10 & hAPP(v4,
% 227.97/37.53 v10) = v11 & $i(v11) & $i(v10))))
% 227.97/37.53
% 227.97/37.53 (fact_gr0I)
% 227.97/37.53 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 227.97/37.53 & $i(v0) & ? [v1: $i] : (v1 = v0 | ~ $i(v1) |
% 227.97/37.53 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1)))
% 227.97/37.53
% 227.97/37.53 (fact_gr__implies__not0)
% 227.97/37.53 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 227.97/37.53 & $i(v0) & ! [v1: $i] : ( ~ $i(v1) | ~
% 227.97/37.53 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0)))
% 227.97/37.53
% 227.97/37.53 (fact_half)
% 227.97/37.53 $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : (c_Int_OBit0(v0) = v1 &
% 227.97/37.53 c_Int_OBit1(c_Int_OPls) = v0 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] :
% 227.97/37.53 ! [v4: $i] : ! [v5: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v2, v1) =
% 227.97/37.53 v4) | ~ (c_Groups_Oone__class_Oone(v2) = v3) | ~
% 227.97/37.53 (c_Rings_Oinverse__class_Odivide(v2, v3, v4) = v5) | ~ $i(v2) | ~
% 227.97/37.53 class_Int_Onumber__ring(v2) | ~
% 227.97/37.53 class_Fields_Olinordered__field__inverse__zero(v2) | ? [v6: $i] :
% 227.97/37.53 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) &
% 227.97/37.53 c_Orderings_Oord__class_Oless(v2, v6, v5))))
% 227.97/37.53
% 227.97/37.53 (fact_half__gt__zero)
% 227.97/37.53 $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : (c_Int_OBit0(v0) = v1 &
% 227.97/37.53 c_Int_OBit1(c_Int_OPls) = v0 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] :
% 227.97/37.53 ! [v4: $i] : ! [v5: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v3, v1) =
% 227.97/37.53 v4) | ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v4) = v5) | ~ $i(v3)
% 227.97/37.53 | ~ $i(v2) | ~ class_Int_Onumber__ring(v3) | ~
% 227.97/37.53 class_Fields_Olinordered__field__inverse__zero(v3) | ? [v6: $i] :
% 227.97/37.53 (c_Groups_Ozero__class_Ozero(v3) = v6 & $i(v6) & ( ~
% 227.97/37.53 c_Orderings_Oord__class_Oless(v3, v6, v2) |
% 227.97/37.53 c_Orderings_Oord__class_Oless(v3, v6, v5)))))
% 227.97/37.53
% 227.97/37.53 (fact_half__gt__zero__iff)
% 227.97/37.53 $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : (c_Int_OBit0(v0) = v1 &
% 227.97/37.53 c_Int_OBit1(c_Int_OPls) = v0 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] :
% 227.97/37.53 ! [v4: $i] : ! [v5: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v3, v1) =
% 227.97/37.53 v4) | ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v4) = v5) | ~ $i(v3)
% 227.97/37.53 | ~ $i(v2) | ~ class_Int_Onumber__ring(v3) | ~
% 227.97/37.53 class_Fields_Olinordered__field__inverse__zero(v3) | ? [v6: $i] :
% 227.97/37.53 (c_Groups_Ozero__class_Ozero(v3) = v6 & $i(v6) & ( ~
% 227.97/37.53 c_Orderings_Oord__class_Oless(v3, v6, v5) |
% 227.97/37.53 c_Orderings_Oord__class_Oless(v3, v6, v2)) & ( ~
% 227.97/37.53 c_Orderings_Oord__class_Oless(v3, v6, v2) |
% 227.97/37.53 c_Orderings_Oord__class_Oless(v3, v6, v5)))))
% 227.97/37.53
% 227.97/37.53 (fact_incr__mult__lemma)
% 227.97/37.53 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 227.97/37.53 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 227.97/37.53 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 227.97/37.53 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v6, v5) = v7) | ~
% 227.97/37.53 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1) = v4) | ~ (hAPP(v4, v3) =
% 227.97/37.53 v5) | ~ (hAPP(v2, v7) = v8) | ~ $i(v6) | ~ $i(v3) | ~ $i(v2) | ~
% 227.97/37.53 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) | ~
% 227.97/37.53 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) | hBOOL(v8) | ? [v9:
% 227.97/37.53 $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] :
% 227.97/37.53 ($i(v10) & ((c_Groups_Oplus__class_Oplus(tc_Int_Oint, v10, v3) = v12 &
% 227.97/37.53 hAPP(v2, v12) = v13 & hAPP(v2, v10) = v11 & $i(v13) & $i(v12) &
% 227.97/37.53 $i(v11) & hBOOL(v11) & ~ hBOOL(v13)) | (hAPP(v2, v6) = v9 & $i(v9)
% 227.97/37.53 & ~ hBOOL(v9))))))
% 227.97/37.53
% 227.97/37.53 (fact_int__0__less__1)
% 227.97/37.53 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 227.97/37.53 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 &
% 227.97/37.53 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0) &
% 227.97/37.53 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1))
% 227.97/37.53
% 227.97/37.53 (fact_int__0__neq__1)
% 227.97/37.54 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 227.97/37.54 c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 &
% 227.97/37.54 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0))
% 227.97/37.54
% 227.97/37.54 (fact_int__one__le__iff__zero__less)
% 227.97/37.54 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 227.97/37.54 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 &
% 227.97/37.54 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v1 & $i(v1) & $i(v0) & ! [v2:
% 227.97/37.54 $i] : ( ~ $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0,
% 227.97/37.54 v2) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2)) & ! [v2: $i]
% 227.97/37.54 : ( ~ $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) |
% 227.97/37.54 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2)))
% 227.97/37.54
% 227.97/37.54 (fact_int__pos__lt__two__imp__zero__or__one)
% 227.97/37.54 $i(c_Int_OPls) & $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 227.97/37.54 ? [v3: $i] : ? [v4: $i] : (c_Int_OBit0(v1) = v2 & c_Int_OBit1(c_Int_OPls) =
% 227.97/37.54 v1 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 &
% 227.97/37.54 c_Groups_Oone__class_Oone(tc_Int_Oint) = v4 &
% 227.97/37.54 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v4) & $i(v3) & $i(v2) &
% 227.97/37.54 $i(v1) & $i(v0) & ! [v5: $i] : (v5 = v4 | v5 = v0 | ~ $i(v5) | ~
% 227.97/37.54 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v5) | ~
% 227.97/37.54 c_Orderings_Oord__class_Oless(tc_Int_Oint, v5, v3)))
% 227.97/37.54
% 227.97/37.54 (fact_inverse__numeral__1)
% 227.97/37.54 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & !
% 227.97/37.54 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v2 | ~
% 227.97/37.54 (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~
% 227.97/37.54 (c_Rings_Oinverse__class_Oinverse(v1, v2) = v3) | ~ $i(v1) | ~
% 227.97/37.54 class_Int_Onumber__ring(v1) | ~ class_Fields_Ofield(v1)))
% 227.97/37.54
% 227.97/37.54 (fact_le0)
% 227.97/37.54 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 227.97/37.54 & $i(v0) & ? [v1: $i] : ( ~ $i(v1) |
% 227.97/37.54 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v1)))
% 227.97/37.54
% 227.97/37.54 (fact_le__0__eq)
% 227.97/37.54 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 227.97/37.54 & $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v0) & ! [v1:
% 227.97/37.54 $i] : (v1 = v0 | ~ $i(v1) | ~
% 227.97/37.54 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)))
% 227.97/37.54
% 227.97/37.54 (fact_le__divide__eq)
% 227.97/37.54 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 227.97/37.54 $i] : ! [v6: $i] : ( ~ (c_Groups_Otimes__class_Otimes(v3, v2) = v5) | ~
% 227.97/37.54 (c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v4) | ~ (hAPP(v5, v0) = v6)
% 227.97/37.54 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 227.97/37.54 class_Fields_Olinordered__field__inverse__zero(v3) | ? [v7: $i] : (( ~
% 227.97/37.54 c_Orderings_Oord__class_Oless__eq(v3, v2, v4) |
% 227.97/37.54 (c_Groups_Ozero__class_Ozero(v3) = v7 & $i(v7) & ( ~
% 227.97/37.54 c_Orderings_Oord__class_Oless(v3, v7, v0) |
% 227.97/37.54 c_Orderings_Oord__class_Oless__eq(v3, v6, v1)) &
% 227.97/37.54 (c_Orderings_Oord__class_Oless(v3, v7, v0) | (( ~
% 227.97/37.54 c_Orderings_Oord__class_Oless(v3, v0, v7) |
% 227.97/37.54 c_Orderings_Oord__class_Oless__eq(v3, v1, v6)) &
% 227.97/37.54 (c_Orderings_Oord__class_Oless__eq(v3, v2, v7) |
% 227.97/37.54 c_Orderings_Oord__class_Oless(v3, v0, v7)))))) &
% 227.97/37.54 (c_Orderings_Oord__class_Oless__eq(v3, v2, v4) |
% 227.97/37.54 (c_Groups_Ozero__class_Ozero(v3) = v7 & $i(v7) &
% 227.97/37.54 ((c_Orderings_Oord__class_Oless(v3, v7, v0) & ~
% 227.97/37.54 c_Orderings_Oord__class_Oless__eq(v3, v6, v1)) | ( ~
% 227.97/37.54 c_Orderings_Oord__class_Oless(v3, v7, v0) &
% 227.97/37.54 ((c_Orderings_Oord__class_Oless(v3, v0, v7) & ~
% 227.97/37.54 c_Orderings_Oord__class_Oless__eq(v3, v1, v6)) | ( ~
% 227.97/37.54 c_Orderings_Oord__class_Oless__eq(v3, v2, v7) & ~
% 227.97/37.54 c_Orderings_Oord__class_Oless(v3, v0, v7)))))))))
% 227.97/37.54
% 227.97/37.54 (fact_le__imp__0__less)
% 227.97/37.54 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 227.97/37.54 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 &
% 227.97/37.54 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0) & ! [v2:
% 227.97/37.54 $i] : ! [v3: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v2)
% 227.97/37.54 = v3) | ~ $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 227.97/37.54 v0, v2) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3)))
% 227.97/37.54
% 227.97/37.54 (fact_le__special_I1_J)
% 227.97/37.55 $i(c_Int_OPls) & $i(tc_Int_Oint) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (
% 227.97/37.55 ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) |
% 227.97/37.55 ~ class_Int_Onumber__ring(v1) | ~ class_Rings_Olinordered__idom(v1) | ?
% 227.97/37.55 [v3: $i] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls,
% 227.97/37.55 v0) | (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) &
% 227.97/37.55 c_Orderings_Oord__class_Oless__eq(v1, v3, v2))) &
% 227.97/37.55 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) |
% 227.97/37.55 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ~
% 227.97/37.55 c_Orderings_Oord__class_Oless__eq(v1, v3, v2)))))
% 227.97/37.55
% 227.97/37.55 (fact_le__special_I2_J)
% 227.97/37.55 $i(c_Int_OPls) & $i(tc_Int_Oint) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0
% 227.97/37.55 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 227.97/37.55 (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) |
% 227.97/37.55 ~ class_Int_Onumber__ring(v2) | ~ class_Rings_Olinordered__idom(v2) | ?
% 227.97/37.55 [v4: $i] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) |
% 227.97/37.55 (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) &
% 227.97/37.55 c_Orderings_Oord__class_Oless__eq(v2, v4, v3))) &
% 227.97/37.55 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) |
% 227.97/37.55 (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & ~
% 227.97/37.55 c_Orderings_Oord__class_Oless__eq(v2, v4, v3))))))
% 227.97/37.55
% 227.97/37.55 (fact_le__special_I4_J)
% 227.97/37.55 $i(c_Int_OPls) & $i(tc_Int_Oint) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0
% 227.97/37.55 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 227.97/37.55 (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) |
% 227.97/37.55 ~ class_Int_Onumber__ring(v2) | ~ class_Rings_Olinordered__idom(v2) | ?
% 227.97/37.55 [v4: $i] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) |
% 227.97/37.55 (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) &
% 227.97/37.55 c_Orderings_Oord__class_Oless__eq(v2, v3, v4))) &
% 227.97/37.55 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) |
% 227.97/37.55 (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & ~
% 227.97/37.55 c_Orderings_Oord__class_Oless__eq(v2, v3, v4))))))
% 227.97/37.55
% 227.97/37.55 (fact_lemma__real__divide__sqrt__less)
% 227.97/37.55 $i(c_NthRoot_Osqrt) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 227.97/37.55 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (c_Int_OBit0(v1) = v2 &
% 227.97/37.55 c_Int_OBit1(c_Int_OPls) = v1 &
% 227.97/37.55 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 227.97/37.55 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & hAPP(c_NthRoot_Osqrt,
% 227.97/37.55 v3) = v4 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : !
% 227.97/37.55 [v6: $i] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v4) =
% 227.97/37.55 v6) | ~ $i(v5) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 227.97/37.55 v5) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v5)))
% 227.97/37.55
% 227.97/37.55 (fact_lemma__sqrt__hcomplex__capprox)
% 227.97/37.55 $i(c_NthRoot_Osqrt) & $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal)
% 227.97/37.55 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 227.97/37.55 (c_Int_OBit0(v1) = v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 227.97/37.55 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v4 &
% 227.97/37.55 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 227.97/37.55 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v4) & $i(v3) &
% 227.97/37.55 $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8:
% 227.97/37.55 $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 227.97/37.55 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v6, v4) = v9) | ~
% 227.97/37.55 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v4) = v10) | ~
% 227.97/37.55 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v9, v10) = v11) | ~
% 227.97/37.55 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v7, v3) = v8) | ~
% 227.97/37.55 $i(v7) | ~ $i(v6) | ~ $i(v5) | ~
% 227.97/37.55 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v6) | ~
% 227.97/37.55 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v5) | ~
% 227.97/37.55 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v8) | ~
% 227.97/37.55 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v8) | ~
% 227.97/37.55 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v7) | ? [v12: $i] :
% 227.97/37.55 (hAPP(c_NthRoot_Osqrt, v11) = v12 & $i(v12) &
% 227.97/37.55 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v7))))
% 227.97/37.55
% 227.97/37.55 (fact_less__0__number__of)
% 227.97/37.55 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_Int_Oint) & ? [v0: $i] :
% 227.97/37.55 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) & ! [v1: $i] : !
% 227.97/37.55 [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~
% 227.97/37.55 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) |
% 227.97/37.55 c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v1)) & ! [v1: $i]
% 227.97/37.55 : ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2)
% 227.97/37.55 | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls,
% 227.97/37.55 v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)))
% 227.97/37.55
% 227.97/37.55 (fact_less__divide__eq)
% 227.97/37.56 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 227.97/37.56 $i] : ! [v6: $i] : ( ~ (c_Groups_Otimes__class_Otimes(v3, v2) = v5) | ~
% 227.97/37.56 (c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v4) | ~ (hAPP(v5, v0) = v6)
% 227.97/37.56 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 227.97/37.56 class_Fields_Olinordered__field__inverse__zero(v3) | ? [v7: $i] : (( ~
% 227.97/37.56 c_Orderings_Oord__class_Oless(v3, v2, v4) |
% 227.97/37.56 (c_Groups_Ozero__class_Ozero(v3) = v7 & $i(v7) & ( ~
% 227.97/37.56 c_Orderings_Oord__class_Oless(v3, v7, v0) |
% 227.97/37.56 c_Orderings_Oord__class_Oless(v3, v6, v1)) &
% 227.97/37.56 (c_Orderings_Oord__class_Oless(v3, v7, v0) | (( ~
% 227.97/37.56 c_Orderings_Oord__class_Oless(v3, v0, v7) |
% 227.97/37.56 c_Orderings_Oord__class_Oless(v3, v1, v6)) &
% 227.97/37.56 (c_Orderings_Oord__class_Oless(v3, v2, v7) |
% 227.97/37.56 c_Orderings_Oord__class_Oless(v3, v0, v7)))))) &
% 227.97/37.56 (c_Orderings_Oord__class_Oless(v3, v2, v4) |
% 227.97/37.56 (c_Groups_Ozero__class_Ozero(v3) = v7 & $i(v7) &
% 227.97/37.56 ((c_Orderings_Oord__class_Oless(v3, v7, v0) & ~
% 227.97/37.56 c_Orderings_Oord__class_Oless(v3, v6, v1)) | ( ~
% 227.97/37.56 c_Orderings_Oord__class_Oless(v3, v7, v0) &
% 227.97/37.56 ((c_Orderings_Oord__class_Oless(v3, v0, v7) & ~
% 227.97/37.56 c_Orderings_Oord__class_Oless(v3, v1, v6)) | ( ~
% 227.97/37.56 c_Orderings_Oord__class_Oless(v3, v2, v7) & ~
% 227.97/37.56 c_Orderings_Oord__class_Oless(v3, v0, v7)))))))))
% 227.97/37.56
% 227.97/37.56 (fact_less__eq__nat_Osimps_I1_J)
% 227.97/37.56 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 227.97/37.56 & $i(v0) & ? [v1: $i] : ( ~ $i(v1) |
% 227.97/37.56 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v1)))
% 227.97/37.56
% 227.97/37.56 (fact_less__nat__number__of)
% 227.97/37.56 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_Int_Oint) & ! [v0: $i] : ! [v1: $i]
% 227.97/37.56 : ! [v2: $i] : ! [v3: $i] : ( ~
% 227.97/37.56 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~
% 227.97/37.56 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3) | ~ $i(v1) | ~
% 227.97/37.56 $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3) | ~
% 227.97/37.56 c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) |
% 227.97/37.56 c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0)) & ! [v0: $i] :
% 227.97/37.56 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 227.97/37.56 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~
% 227.97/37.56 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3) | ~ $i(v1) | ~
% 227.97/37.56 $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3) |
% 227.97/37.56 c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v0: $i] : ! [v1:
% 227.97/37.56 $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 227.97/37.56 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~
% 227.97/37.56 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3) | ~ $i(v1) | ~
% 227.97/37.56 $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | ~
% 227.97/37.56 c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) |
% 227.97/37.56 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3))
% 227.97/37.56
% 227.97/37.56 (fact_less__nat__zero__code)
% 227.97/37.56 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 227.97/37.56 & $i(v0) & ! [v1: $i] : ( ~ $i(v1) | ~
% 227.97/37.56 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0)))
% 227.97/37.56
% 227.97/37.56 (fact_less__special_I1_J)
% 227.97/37.56 $i(c_Int_OPls) & $i(tc_Int_Oint) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (
% 227.97/37.56 ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) |
% 227.97/37.56 ~ class_Int_Onumber__ring(v1) | ~ class_Rings_Olinordered__idom(v1) | ?
% 227.97/37.56 [v3: $i] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) |
% 227.97/37.56 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) &
% 227.97/37.56 c_Orderings_Oord__class_Oless(v1, v3, v2))) &
% 227.97/37.56 (c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) |
% 227.97/37.56 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ~
% 227.97/37.56 c_Orderings_Oord__class_Oless(v1, v3, v2)))))
% 227.97/37.56
% 227.97/37.56 (fact_less__special_I2_J)
% 227.97/37.56 $i(c_Int_OPls) & $i(tc_Int_Oint) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0
% 227.97/37.56 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 227.97/37.56 (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) |
% 227.97/37.56 ~ class_Int_Onumber__ring(v2) | ~ class_Rings_Olinordered__idom(v2) | ?
% 227.97/37.56 [v4: $i] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) |
% 227.97/37.56 (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) &
% 227.97/37.56 c_Orderings_Oord__class_Oless(v2, v4, v3))) &
% 227.97/37.56 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) |
% 227.97/37.56 (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & ~
% 227.97/37.56 c_Orderings_Oord__class_Oless(v2, v4, v3))))))
% 227.97/37.56
% 227.97/37.56 (fact_less__special_I4_J)
% 227.97/37.56 $i(c_Int_OPls) & $i(tc_Int_Oint) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0
% 227.97/37.56 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 227.97/37.56 (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) |
% 227.97/37.56 ~ class_Int_Onumber__ring(v2) | ~ class_Rings_Olinordered__idom(v2) | ?
% 227.97/37.56 [v4: $i] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) |
% 227.97/37.56 (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) &
% 227.97/37.56 c_Orderings_Oord__class_Oless(v2, v3, v4))) &
% 227.97/37.56 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) |
% 227.97/37.56 (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & ~
% 227.97/37.56 c_Orderings_Oord__class_Oless(v2, v3, v4))))))
% 227.97/37.56
% 227.97/37.56 (fact_less__zeroE)
% 227.97/37.57 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 227.97/37.57 & $i(v0) & ! [v1: $i] : ( ~ $i(v1) | ~
% 227.97/37.57 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0)))
% 227.97/37.57
% 227.97/37.57 (fact_ln__add__one__self__le__self)
% 227.97/37.57 $i(c_Transcendental_Oln) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 227.97/37.57 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 227.97/37.57 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 227.97/37.57 [v2: $i] : ! [v3: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 227.97/37.57 v1, v2) = v3) | ~ $i(v2) | ~
% 227.97/37.57 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) | ? [v4: $i]
% 227.97/37.57 : (hAPP(c_Transcendental_Oln, v3) = v4 & $i(v4) &
% 227.97/37.57 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v2))))
% 227.97/37.57
% 227.97/37.57 (fact_ln__eq__zero__iff)
% 227.97/37.57 $i(c_Transcendental_Oln) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 227.97/37.57 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 227.97/37.57 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 227.97/37.57 [v2: $i] : (v2 = v1 | ~ (hAPP(c_Transcendental_Oln, v2) = v0) | ~ $i(v2) |
% 227.97/37.57 ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2)) & ! [v2: $i]
% 227.97/37.57 : (v2 = v0 | ~ (hAPP(c_Transcendental_Oln, v1) = v2) | ~
% 227.97/37.57 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1)))
% 227.97/37.57
% 227.97/37.57 (fact_ln__ge__zero)
% 227.97/37.57 $i(c_Transcendental_Oln) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 227.97/37.57 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 227.97/37.57 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & !
% 227.97/37.57 [v2: $i] : ! [v3: $i] : ( ~ (hAPP(c_Transcendental_Oln, v2) = v3) | ~
% 227.97/37.57 $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) |
% 227.97/37.57 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v3)))
% 227.97/37.57
% 227.97/37.57 (fact_ln__ge__zero__iff)
% 227.97/37.57 $i(c_Transcendental_Oln) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 227.97/37.57 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 227.97/37.57 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 227.97/37.57 [v2: $i] : ! [v3: $i] : ( ~ (hAPP(c_Transcendental_Oln, v2) = v3) | ~
% 227.97/37.57 $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v2) |
% 227.97/37.57 ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 227.97/37.57 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)) & ! [v2: $i]
% 227.97/37.57 : ! [v3: $i] : ( ~ (hAPP(c_Transcendental_Oln, v2) = v3) | ~ $i(v2) | ~
% 227.97/37.57 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) | ~
% 227.97/37.57 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 227.97/37.57 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v2)))
% 227.97/37.57
% 227.97/37.57 (fact_ln__ge__zero__imp__ge__one)
% 227.97/37.57 $i(c_Transcendental_Oln) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 227.97/37.57 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 227.97/37.57 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 227.97/37.57 [v2: $i] : ! [v3: $i] : ( ~ (hAPP(c_Transcendental_Oln, v2) = v3) | ~
% 227.97/37.57 $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) |
% 227.97/37.57 ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 227.97/37.57 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v2)))
% 227.97/37.57
% 227.97/37.57 (fact_ln__gt__zero)
% 227.97/37.57 $i(c_Transcendental_Oln) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 227.97/37.57 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 227.97/37.57 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & !
% 227.97/37.57 [v2: $i] : ! [v3: $i] : ( ~ (hAPP(c_Transcendental_Oln, v2) = v3) | ~
% 227.97/37.57 $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 227.97/37.57 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v3)))
% 227.97/37.57
% 227.97/37.57 (fact_ln__gt__zero__iff)
% 227.97/37.57 $i(c_Transcendental_Oln) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 227.97/37.57 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 227.97/37.57 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 227.97/37.57 [v2: $i] : ! [v3: $i] : ( ~ (hAPP(c_Transcendental_Oln, v2) = v3) | ~
% 227.97/37.57 $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) | ~
% 227.97/37.57 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 227.97/37.57 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)) & ! [v2: $i] :
% 227.97/37.57 ! [v3: $i] : ( ~ (hAPP(c_Transcendental_Oln, v2) = v3) | ~ $i(v2) | ~
% 227.97/37.57 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | ~
% 227.97/37.57 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 227.97/37.57 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2)))
% 227.97/37.57
% 227.97/37.57 (fact_ln__gt__zero__imp__gt__one)
% 227.97/37.57 $i(c_Transcendental_Oln) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 227.97/37.57 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 227.97/37.57 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 227.97/37.57 [v2: $i] : ! [v3: $i] : ( ~ (hAPP(c_Transcendental_Oln, v2) = v3) | ~
% 227.97/37.57 $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | ~
% 227.97/37.57 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 227.97/37.57 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2)))
% 227.97/37.57
% 227.97/37.57 (fact_ln__inj__iff)
% 227.97/37.57 $i(c_Transcendental_Oln) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 227.97/37.57 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 227.97/37.57 ! [v2: $i] : ! [v3: $i] : (v2 = v1 | ~ (hAPP(c_Transcendental_Oln, v2) =
% 227.97/37.57 v3) | ~ (hAPP(c_Transcendental_Oln, v1) = v3) | ~ $i(v2) | ~ $i(v1) |
% 227.97/37.57 ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) | ~
% 227.97/37.57 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1)))
% 227.97/37.57
% 227.97/37.57 (fact_ln__inverse)
% 227.97/37.58 $i(c_Transcendental_Oln) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 227.97/37.58 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 227.97/37.58 ! [v2: $i] : ( ~ (hAPP(c_Transcendental_Oln, v1) = v2) | ~ $i(v1) | ~
% 227.97/37.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) | ? [v3: $i] : ?
% 227.97/37.58 [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v4 &
% 227.97/37.58 c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v1) = v3 &
% 227.97/37.58 hAPP(c_Transcendental_Oln, v3) = v4 & $i(v4) & $i(v3))))
% 227.97/37.58
% 227.97/37.58 (fact_ln__le__cancel__iff)
% 227.97/37.58 $i(c_Transcendental_Oln) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 227.97/37.58 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 227.97/37.58 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (hAPP(c_Transcendental_Oln, v2)
% 227.97/37.58 = v3) | ~ (hAPP(c_Transcendental_Oln, v1) = v4) | ~ $i(v2) | ~ $i(v1)
% 227.97/37.58 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v4) | ~
% 227.97/37.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) | ~
% 227.97/37.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) |
% 227.97/37.58 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1)) & ! [v1: $i]
% 227.97/37.58 : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (hAPP(c_Transcendental_Oln,
% 227.97/37.58 v2) = v3) | ~ (hAPP(c_Transcendental_Oln, v1) = v4) | ~ $i(v2) | ~
% 227.97/37.58 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1) |
% 227.97/37.58 ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) | ~
% 227.97/37.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) |
% 227.97/37.58 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v4)))
% 227.97/37.58
% 227.97/37.58 (fact_ln__less__cancel__iff)
% 227.97/37.58 $i(c_Transcendental_Oln) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 227.97/37.58 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 227.97/37.58 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (hAPP(c_Transcendental_Oln, v2)
% 227.97/37.58 = v3) | ~ (hAPP(c_Transcendental_Oln, v1) = v4) | ~ $i(v2) | ~ $i(v1)
% 227.97/37.58 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v4) | ~
% 227.97/37.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) | ~
% 227.97/37.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) |
% 227.97/37.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v1)) & ! [v1: $i] :
% 227.97/37.58 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (hAPP(c_Transcendental_Oln, v2)
% 227.97/37.58 = v3) | ~ (hAPP(c_Transcendental_Oln, v1) = v4) | ~ $i(v2) | ~ $i(v1)
% 227.97/37.58 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v1) | ~
% 227.97/37.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) | ~
% 227.97/37.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) |
% 227.97/37.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v4)))
% 227.97/37.58
% 227.97/37.58 (fact_ln__less__self)
% 227.97/37.58 $i(c_Transcendental_Oln) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 227.97/37.58 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 227.97/37.58 ! [v2: $i] : ( ~ (hAPP(c_Transcendental_Oln, v1) = v2) | ~ $i(v1) | ~
% 227.97/37.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) |
% 227.97/37.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v1)))
% 227.97/37.58
% 227.97/37.58 (fact_ln__less__zero)
% 227.97/37.58 $i(c_Transcendental_Oln) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 227.97/37.58 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 227.97/37.58 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 227.97/37.58 [v2: $i] : ! [v3: $i] : ( ~ (hAPP(c_Transcendental_Oln, v2) = v3) | ~
% 227.97/37.58 $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v1) | ~
% 227.97/37.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 227.97/37.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0)))
% 227.97/37.58
% 227.97/37.58 (fact_ln__less__zero__iff)
% 227.97/37.58 $i(c_Transcendental_Oln) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 227.97/37.58 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 227.97/37.58 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 227.97/37.58 [v2: $i] : ! [v3: $i] : ( ~ (hAPP(c_Transcendental_Oln, v2) = v3) | ~
% 227.97/37.58 $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0) | ~
% 227.97/37.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 227.97/37.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v1)) & ! [v2: $i] :
% 227.97/37.58 ! [v3: $i] : ( ~ (hAPP(c_Transcendental_Oln, v2) = v3) | ~ $i(v2) | ~
% 227.97/37.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v1) | ~
% 227.97/37.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 227.97/37.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0)))
% 227.97/37.58
% 227.97/37.58 (fact_ln__mult)
% 227.97/37.58 $i(c_Transcendental_Oln) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 227.97/37.58 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 227.97/37.58 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 227.97/37.58 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v4) = v5) | ~
% 227.97/37.58 (hAPP(c_Transcendental_Oln, v2) = v3) | ~ (hAPP(c_Transcendental_Oln, v1)
% 227.97/37.58 = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 227.97/37.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) | ~
% 227.97/37.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) | ? [v6: $i] : ?
% 227.97/37.58 [v7: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) = v6 &
% 227.97/37.58 hAPP(v6, v1) = v7 & hAPP(c_Transcendental_Oln, v7) = v5 & $i(v7) &
% 227.97/37.58 $i(v6) & $i(v5))))
% 227.97/37.58
% 227.97/37.58 (fact_ln__one)
% 227.97/37.58 $i(c_Transcendental_Oln) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 227.97/37.58 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 227.97/37.58 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 227.97/37.58 hAPP(c_Transcendental_Oln, v0) = v1 & $i(v1) & $i(v0))
% 227.97/37.58
% 227.97/37.58 (fact_m_I1_J)
% 227.97/37.58 $i(v_m____) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 227.97/37.58 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) &
% 227.97/37.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_m____))
% 227.97/37.58
% 227.97/37.58 (fact_mult__0)
% 227.97/37.58 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 227.97/37.58 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0) = v1 &
% 227.97/37.58 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) & ! [v2:
% 227.97/37.58 $i] : ! [v3: $i] : (v3 = v0 | ~ (hAPP(v1, v2) = v3) | ~ $i(v2)))
% 227.97/37.58
% 227.97/37.58 (fact_mult__0__right)
% 227.97/37.58 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 227.97/37.58 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 227.97/37.58 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1) = v2) | ~ $i(v1) |
% 227.97/37.58 hAPP(v2, v0) = v0))
% 227.97/37.58
% 227.97/37.58 (fact_mult__2)
% 227.97/37.59 $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : (c_Int_OBit0(v0) = v1 &
% 227.97/37.59 c_Int_OBit1(c_Int_OPls) = v0 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] :
% 227.97/37.59 ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 227.97/37.59 (c_Int_Onumber__class_Onumber__of(v3, v1) = v4) | ~
% 227.97/37.59 (c_Groups_Otimes__class_Otimes(v3, v4) = v5) | ~ (hAPP(v5, v2) = v6) | ~
% 227.97/37.59 $i(v3) | ~ $i(v2) | ~ class_Int_Onumber__ring(v3) |
% 227.97/37.59 (c_Groups_Oplus__class_Oplus(v3, v2, v2) = v6 & $i(v6))))
% 227.97/37.59
% 227.97/37.59 (fact_mult__2__right)
% 227.97/37.59 $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : (c_Int_OBit0(v0) = v1 &
% 227.97/37.59 c_Int_OBit1(c_Int_OPls) = v0 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] :
% 227.97/37.59 ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 227.97/37.59 (c_Int_Onumber__class_Onumber__of(v3, v1) = v5) | ~
% 227.97/37.59 (c_Groups_Otimes__class_Otimes(v3, v2) = v4) | ~ (hAPP(v4, v5) = v6) | ~
% 227.97/37.59 $i(v3) | ~ $i(v2) | ~ class_Int_Onumber__ring(v3) |
% 227.97/37.59 (c_Groups_Oplus__class_Oplus(v3, v2, v2) = v6 & $i(v6))))
% 227.97/37.59
% 227.97/37.59 (fact_mult__cancel1)
% 227.97/37.59 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 227.97/37.59 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 227.97/37.59 $i] : (v5 = v4 | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0) = v3)
% 227.97/37.59 | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v3, v1) = v5) | ~ $i(v2) | ~ $i(v1))
% 227.97/37.59 & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v3
% 227.97/37.59 = v0 | v2 = v1 | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4)
% 227.97/37.59 | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v5) | ~ $i(v3) | ~ $i(v2)
% 227.97/37.59 | ~ $i(v1)))
% 227.97/37.59
% 227.97/37.59 (fact_mult__cancel2)
% 227.97/37.59 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 227.97/37.59 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 227.97/37.59 $i] : ! [v6: $i] : (v6 = v4 | ~
% 227.97/37.59 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3) | ~
% 227.97/37.59 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1) = v5) | ~ (hAPP(v5, v0) =
% 227.97/37.59 v6) | ~ (hAPP(v3, v0) = v4) | ~ $i(v2) | ~ $i(v1)) & ! [v1: $i] : !
% 227.97/37.59 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v3 = v1
% 227.97/37.59 | v2 = v0 | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~
% 227.97/37.59 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1) = v6) | ~ (hAPP(v6, v2) =
% 227.97/37.59 v5) | ~ (hAPP(v4, v2) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1)))
% 227.97/37.59
% 227.97/37.59 (fact_mult__eq__0__iff)
% 227.97/37.59 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 227.97/37.59 (c_Groups_Otimes__class_Otimes(v2, v1) = v3) | ~ (hAPP(v3, v0) = v4) | ~
% 227.97/37.59 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 227.97/37.59 class_Rings_Oring__no__zero__divisors(v2) | ? [v5: $i] :
% 227.97/37.59 (c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v5) & ( ~ (v5 = v4) | v4 = v1 |
% 227.97/37.59 v4 = v0) & (v5 = v4 | ( ~ (v5 = v1) & ~ (v5 = v0)))))
% 227.97/37.59
% 227.97/37.59 (fact_mult__eq__self__implies__10)
% 227.97/37.59 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 227.97/37.59 (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 227.97/37.59 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & ! [v2:
% 227.97/37.59 $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v1 | v2 = v0 | ~
% 227.97/37.59 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~ (hAPP(v4, v2) =
% 227.97/37.59 v3) | ~ $i(v3) | ~ $i(v2)))
% 227.97/37.59
% 227.97/37.59 (fact_mult__is__0)
% 227.97/37.59 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 227.97/37.59 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 227.97/37.59 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1) = v2) | ~ (hAPP(v2, v0) =
% 227.97/37.59 v3) | ~ $i(v1)) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 |
% 227.97/37.59 ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0) = v2) | ~ (hAPP(v2, v1)
% 227.97/37.59 = v3) | ~ $i(v1)) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v2 = v0
% 227.97/37.59 | v1 = v0 | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3) | ~
% 227.97/37.59 (hAPP(v3, v1) = v0) | ~ $i(v2) | ~ $i(v1)))
% 227.97/37.59
% 227.97/37.59 (fact_mult__le__0__iff)
% 227.97/37.59 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 227.97/37.59 (c_Groups_Otimes__class_Otimes(v2, v1) = v3) | ~ (hAPP(v3, v0) = v4) | ~
% 227.97/37.59 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 227.97/37.59 class_Rings_Olinordered__ring__strict(v2) | ? [v5: $i] :
% 227.97/37.59 (c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v5) & ( ~
% 227.97/37.59 c_Orderings_Oord__class_Oless__eq(v2, v4, v5) |
% 227.97/37.59 (c_Orderings_Oord__class_Oless__eq(v2, v5, v1) &
% 227.97/37.59 c_Orderings_Oord__class_Oless__eq(v2, v0, v5)) |
% 227.97/37.59 (c_Orderings_Oord__class_Oless__eq(v2, v5, v0) &
% 227.97/37.59 c_Orderings_Oord__class_Oless__eq(v2, v1, v5))) &
% 227.97/37.59 (c_Orderings_Oord__class_Oless__eq(v2, v4, v5) | (( ~
% 227.97/37.59 c_Orderings_Oord__class_Oless__eq(v2, v5, v1) | ~
% 227.97/37.59 c_Orderings_Oord__class_Oless__eq(v2, v0, v5)) & ( ~
% 227.97/37.59 c_Orderings_Oord__class_Oless__eq(v2, v5, v0) | ~
% 227.97/37.59 c_Orderings_Oord__class_Oless__eq(v2, v1, v5))))))
% 227.97/37.59
% 227.97/37.59 (fact_mult__le__cancel1)
% 227.97/37.59 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 227.97/37.59 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 227.97/37.59 $i] : ! [v6: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) =
% 227.97/37.59 v4) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v6) | ~ $i(v3) | ~
% 227.97/37.59 $i(v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5,
% 227.97/37.59 v6) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) |
% 227.97/37.59 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1)) & ! [v1: $i] : !
% 227.97/37.59 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 227.97/37.59 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~ (hAPP(v4, v2) =
% 227.97/37.59 v5) | ~ (hAPP(v4, v1) = v6) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 227.97/37.59 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) |
% 227.97/37.59 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v6)) & ! [v1: $i] : !
% 227.97/37.59 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 227.97/37.59 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~ (hAPP(v4, v2) =
% 227.97/37.59 v5) | ~ (hAPP(v4, v1) = v6) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) |
% 227.97/37.59 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v6) |
% 227.97/37.59 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3)))
% 227.97/37.59
% 227.97/37.59 (fact_mult__le__cancel2)
% 227.97/37.60 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 227.97/37.60 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 227.97/37.60 $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 227.97/37.60 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~
% 227.97/37.60 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1) = v6) | ~ (hAPP(v6, v2) =
% 227.97/37.60 v7) | ~ (hAPP(v4, v2) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 227.97/37.60 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v7) | ~
% 227.97/37.60 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) |
% 227.97/37.60 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v1)) & ! [v1: $i] : !
% 227.97/37.60 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 227.97/37.60 $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~
% 227.97/37.60 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1) = v6) | ~ (hAPP(v6, v2) =
% 227.97/37.60 v7) | ~ (hAPP(v4, v2) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 227.97/37.60 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v1) |
% 227.97/37.60 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v7)) & ! [v1: $i] : !
% 227.97/37.60 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 227.97/37.60 $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~
% 227.97/37.60 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1) = v6) | ~ (hAPP(v6, v2) =
% 227.97/37.60 v7) | ~ (hAPP(v4, v2) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) |
% 227.97/37.60 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v7) |
% 227.97/37.60 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)))
% 227.97/37.60
% 227.97/37.60 (fact_mult__less__cancel1)
% 227.97/37.60 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 227.97/37.60 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 227.97/37.60 $i] : ! [v6: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) =
% 227.97/37.60 v4) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v6) | ~ $i(v3) | ~
% 227.97/37.60 $i(v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v6)
% 227.97/37.60 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1)) & ! [v1: $i] : !
% 227.97/37.60 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 227.97/37.60 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~ (hAPP(v4, v2) =
% 227.97/37.60 v5) | ~ (hAPP(v4, v1) = v6) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 227.97/37.60 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v6) |
% 227.97/37.60 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3)) & ! [v1: $i] : !
% 227.97/37.60 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 227.97/37.60 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~ (hAPP(v4, v2) =
% 227.97/37.60 v5) | ~ (hAPP(v4, v1) = v6) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 227.97/37.60 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~
% 227.97/37.60 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) |
% 227.97/37.60 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v6)))
% 227.97/37.60
% 227.97/37.60 (fact_mult__less__cancel2)
% 227.97/37.60 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 227.97/37.60 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 227.97/37.60 $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 227.97/37.60 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~
% 227.97/37.60 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1) = v6) | ~ (hAPP(v6, v2) =
% 227.97/37.60 v7) | ~ (hAPP(v4, v2) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 227.97/37.60 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v7) |
% 227.97/37.60 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v1)) & ! [v1: $i] : !
% 227.97/37.60 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 227.97/37.60 $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~
% 227.97/37.60 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1) = v6) | ~ (hAPP(v6, v2) =
% 227.97/37.60 v7) | ~ (hAPP(v4, v2) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 227.97/37.60 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v7) |
% 227.97/37.60 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)) & ! [v1: $i] : !
% 227.97/37.60 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 227.97/37.60 $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~
% 227.97/37.60 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1) = v6) | ~ (hAPP(v6, v2) =
% 227.97/37.60 v7) | ~ (hAPP(v4, v2) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 227.97/37.60 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v1) | ~
% 227.97/37.60 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) |
% 227.97/37.60 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v7)))
% 227.97/37.60
% 227.97/37.60 (fact_mult__less__mono1)
% 227.97/37.60 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 227.97/37.60 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 227.97/37.60 $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 227.97/37.60 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~
% 227.97/37.60 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v6) | ~ (hAPP(v6, v1) =
% 227.97/37.60 v7) | ~ (hAPP(v4, v1) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 227.97/37.60 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v2) | ~
% 227.97/37.60 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) |
% 227.97/37.60 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v7)))
% 227.97/37.60
% 227.97/37.60 (fact_mult__less__mono2)
% 227.97/37.60 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 227.97/37.60 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 227.97/37.60 $i] : ! [v6: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1) =
% 227.97/37.60 v4) | ~ (hAPP(v4, v3) = v5) | ~ (hAPP(v4, v2) = v6) | ~ $i(v3) | ~
% 227.97/37.60 $i(v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v2)
% 227.97/37.60 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) |
% 227.97/37.60 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v6)))
% 227.97/37.60
% 227.97/37.60 (fact_mult__nat__number__of)
% 227.97/37.60 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_Int_Oint) & ? [v0: $i] :
% 227.97/37.60 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) & ! [v1: $i] : !
% 227.97/37.60 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v6 = v0
% 227.97/37.60 | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3) | ~
% 227.97/37.60 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v5) | ~
% 227.97/37.60 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~ (hAPP(v4, v5) =
% 227.97/37.60 v6) | ~ $i(v2) | ~ $i(v1) | ~
% 227.97/37.60 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, c_Int_OPls)) & ! [v1: $i]
% 227.97/37.60 : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 227.97/37.60 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3) | ~
% 227.97/37.60 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v5) | ~
% 227.97/37.60 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~ (hAPP(v4, v5) =
% 227.97/37.60 v6) | ~ $i(v2) | ~ $i(v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 227.97/37.60 v2, c_Int_OPls) | ? [v7: $i] : ? [v8: $i] :
% 227.97/37.60 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v8) = v6 &
% 227.97/37.60 c_Groups_Otimes__class_Otimes(tc_Int_Oint, v2) = v7 & hAPP(v7, v1) = v8
% 227.97/37.60 & $i(v8) & $i(v7) & $i(v6))))
% 227.97/37.60
% 227.97/37.60 (fact_mult__neg__neg)
% 227.97/37.60 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 227.97/37.60 (c_Groups_Otimes__class_Otimes(v2, v1) = v3) | ~ (hAPP(v3, v0) = v4) | ~
% 227.97/37.60 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 227.97/37.60 class_Rings_Olinordered__ring__strict(v2) | ? [v5: $i] :
% 227.97/37.60 (c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v5) & ( ~
% 227.97/37.60 c_Orderings_Oord__class_Oless(v2, v1, v5) | ~
% 227.97/37.60 c_Orderings_Oord__class_Oless(v2, v0, v5) |
% 227.97/37.60 c_Orderings_Oord__class_Oless(v2, v5, v4))))
% 227.97/37.60
% 227.97/37.60 (fact_mult__neg__pos)
% 227.97/37.60 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 227.97/37.60 (c_Groups_Otimes__class_Otimes(v2, v1) = v3) | ~ (hAPP(v3, v0) = v4) | ~
% 227.97/37.60 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 227.97/37.60 class_Rings_Olinordered__semiring__strict(v2) | ? [v5: $i] :
% 227.97/37.60 (c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v5) & ( ~
% 227.97/37.60 c_Orderings_Oord__class_Oless(v2, v5, v0) | ~
% 227.97/37.60 c_Orderings_Oord__class_Oless(v2, v1, v5) |
% 227.97/37.60 c_Orderings_Oord__class_Oless(v2, v4, v5))))
% 227.97/37.60
% 227.97/37.60 (fact_mult__nonneg__nonneg)
% 227.97/37.61 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 227.97/37.61 (c_Groups_Otimes__class_Otimes(v2, v1) = v3) | ~ (hAPP(v3, v0) = v4) | ~
% 227.97/37.61 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 227.97/37.61 class_Rings_Oordered__cancel__semiring(v2) | ? [v5: $i] :
% 227.97/37.61 (c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v5) & ( ~
% 227.97/37.61 c_Orderings_Oord__class_Oless__eq(v2, v5, v1) | ~
% 227.97/37.61 c_Orderings_Oord__class_Oless__eq(v2, v5, v0) |
% 227.97/37.61 c_Orderings_Oord__class_Oless__eq(v2, v5, v4))))
% 227.97/37.61
% 227.97/37.61 (fact_mult__nonneg__nonpos)
% 227.97/37.61 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 227.97/37.61 (c_Groups_Otimes__class_Otimes(v2, v1) = v3) | ~ (hAPP(v3, v0) = v4) | ~
% 227.97/37.61 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 227.97/37.61 class_Rings_Oordered__cancel__semiring(v2) | ? [v5: $i] :
% 227.97/37.61 (c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v5) & ( ~
% 227.97/37.61 c_Orderings_Oord__class_Oless__eq(v2, v5, v1) | ~
% 227.97/37.61 c_Orderings_Oord__class_Oless__eq(v2, v0, v5) |
% 227.97/37.61 c_Orderings_Oord__class_Oless__eq(v2, v4, v5))))
% 227.97/37.61
% 227.97/37.61 (fact_mult__nonpos__nonneg)
% 227.97/37.61 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 227.97/37.61 (c_Groups_Otimes__class_Otimes(v2, v1) = v3) | ~ (hAPP(v3, v0) = v4) | ~
% 227.97/37.61 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 227.97/37.61 class_Rings_Oordered__cancel__semiring(v2) | ? [v5: $i] :
% 227.97/37.61 (c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v5) & ( ~
% 227.97/37.61 c_Orderings_Oord__class_Oless__eq(v2, v5, v0) | ~
% 227.97/37.61 c_Orderings_Oord__class_Oless__eq(v2, v1, v5) |
% 227.97/37.61 c_Orderings_Oord__class_Oless__eq(v2, v4, v5))))
% 227.97/37.61
% 227.97/37.61 (fact_mult__nonpos__nonpos)
% 227.97/37.61 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 227.97/37.61 (c_Groups_Otimes__class_Otimes(v2, v1) = v3) | ~ (hAPP(v3, v0) = v4) | ~
% 227.97/37.61 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ class_Rings_Oordered__ring(v2) | ? [v5:
% 227.97/37.61 $i] : (c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v5) & ( ~
% 227.97/37.61 c_Orderings_Oord__class_Oless__eq(v2, v1, v5) | ~
% 227.97/37.61 c_Orderings_Oord__class_Oless__eq(v2, v0, v5) |
% 227.97/37.61 c_Orderings_Oord__class_Oless__eq(v2, v5, v4))))
% 227.97/37.61
% 227.97/37.61 (fact_mult__numeral__1)
% 227.97/37.61 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & !
% 227.97/37.61 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v1
% 227.97/37.61 | ~ (c_Int_Onumber__class_Onumber__of(v2, v0) = v3) | ~
% 227.97/37.61 (c_Groups_Otimes__class_Otimes(v2, v3) = v4) | ~ (hAPP(v4, v1) = v5) | ~
% 227.97/37.61 $i(v2) | ~ $i(v1) | ~ class_Int_Onumber__ring(v2)))
% 227.97/37.61
% 227.97/37.61 (fact_mult__numeral__1__right)
% 227.97/37.61 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & !
% 227.97/37.61 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v1
% 227.97/37.61 | ~ (c_Int_Onumber__class_Onumber__of(v2, v0) = v4) | ~
% 227.97/37.61 (c_Groups_Otimes__class_Otimes(v2, v1) = v3) | ~ (hAPP(v3, v4) = v5) | ~
% 227.97/37.61 $i(v2) | ~ $i(v1) | ~ class_Int_Onumber__ring(v2)))
% 227.97/37.61
% 227.97/37.61 (fact_mult__pos__neg)
% 227.97/37.61 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 227.97/37.61 (c_Groups_Otimes__class_Otimes(v2, v1) = v3) | ~ (hAPP(v3, v0) = v4) | ~
% 227.97/37.61 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 227.97/37.61 class_Rings_Olinordered__semiring__strict(v2) | ? [v5: $i] :
% 227.97/37.61 (c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v5) & ( ~
% 227.97/37.61 c_Orderings_Oord__class_Oless(v2, v5, v1) | ~
% 227.97/37.61 c_Orderings_Oord__class_Oless(v2, v0, v5) |
% 227.97/37.61 c_Orderings_Oord__class_Oless(v2, v4, v5))))
% 227.97/37.61
% 227.97/37.61 (fact_mult__pos__pos)
% 227.97/37.61 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 227.97/37.61 (c_Groups_Otimes__class_Otimes(v2, v1) = v3) | ~ (hAPP(v3, v0) = v4) | ~
% 227.97/37.61 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 227.97/37.61 class_Rings_Olinordered__semiring__strict(v2) | ? [v5: $i] :
% 227.97/37.61 (c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v5) & ( ~
% 227.97/37.61 c_Orderings_Oord__class_Oless(v2, v5, v1) | ~
% 227.97/37.61 c_Orderings_Oord__class_Oless(v2, v5, v0) |
% 227.97/37.61 c_Orderings_Oord__class_Oless(v2, v5, v4))))
% 227.97/37.61
% 227.97/37.61 (fact_nat__0__less__mult__iff)
% 227.97/37.61 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 227.97/37.61 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 227.97/37.61 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3) | ~ (hAPP(v3, v1) =
% 227.97/37.61 v4) | ~ $i(v2) | ~ $i(v1) | ~
% 227.97/37.61 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v4) |
% 227.97/37.61 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)) & ! [v1: $i] : !
% 227.97/37.61 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 227.97/37.61 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3) | ~ (hAPP(v3, v1) =
% 227.97/37.61 v4) | ~ $i(v2) | ~ $i(v1) | ~
% 227.97/37.61 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v4) |
% 227.97/37.61 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1)) & ! [v1: $i] : !
% 227.97/37.61 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 227.97/37.61 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3) | ~ (hAPP(v3, v1) =
% 227.97/37.61 v4) | ~ $i(v2) | ~ $i(v1) | ~
% 227.97/37.61 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) | ~
% 227.97/37.61 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) |
% 227.97/37.61 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v4)))
% 227.97/37.61
% 227.97/37.61 (fact_nat__1__add__1)
% 227.97/37.61 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 227.97/37.61 ? [v3: $i] : (c_Int_OBit0(v2) = v3 & c_Int_OBit1(c_Int_OPls) = v2 &
% 227.97/37.61 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v1 &
% 227.97/37.61 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v0) = v1 &
% 227.97/37.61 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v3) & $i(v2) & $i(v1) &
% 227.97/37.61 $i(v0))
% 227.97/37.61
% 227.97/37.61 (fact_nat__mult__2)
% 227.97/37.61 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 227.97/37.61 ? [v3: $i] : (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 227.97/37.61 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 227.97/37.61 c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3 & $i(v3) & $i(v2) &
% 227.97/37.61 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v3, v4) = v5) | ~
% 227.97/37.61 $i(v4) | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v4, v4) = v5 &
% 227.97/37.61 $i(v5))))
% 227.97/37.61
% 227.97/37.61 (fact_nat__mult__2__right)
% 227.97/37.61 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 227.97/37.61 (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 227.97/37.61 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 227.97/37.61 $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 227.97/37.61 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v3) = v4) | ~ $i(v3) | ?
% 227.97/37.61 [v5: $i] : (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v5 & hAPP(v5,
% 227.97/37.61 v2) = v4 & $i(v5) & $i(v4))))
% 227.97/37.61
% 227.97/37.61 (fact_nat__mult__eq__cancel1)
% 227.97/37.62 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 227.97/37.62 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 227.97/37.62 $i] : (v2 = v1 | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4)
% 227.97/37.62 | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v5) | ~ $i(v3) | ~ $i(v2)
% 227.97/37.62 | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3)))
% 227.97/37.62
% 227.97/37.62 (fact_nat__mult__eq__cancel__disj)
% 227.97/37.62 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 227.97/37.62 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 227.97/37.62 $i] : (v5 = v4 | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0) = v3)
% 227.97/37.62 | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v3, v1) = v5) | ~ $i(v2) | ~ $i(v1))
% 227.97/37.62 & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v3
% 227.97/37.62 = v0 | v2 = v1 | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4)
% 227.97/37.62 | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v5) | ~ $i(v3) | ~ $i(v2)
% 227.97/37.62 | ~ $i(v1)))
% 227.97/37.62
% 227.97/37.62 (fact_nat__mult__le__cancel1)
% 228.41/37.62 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 228.41/37.62 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 228.41/37.62 $i] : ! [v6: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) =
% 228.41/37.62 v4) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v6) | ~ $i(v3) | ~
% 228.41/37.62 $i(v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5,
% 228.41/37.62 v6) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) |
% 228.41/37.62 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1)) & ! [v1: $i] : !
% 228.41/37.62 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 228.41/37.62 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~ (hAPP(v4, v2) =
% 228.41/37.62 v5) | ~ (hAPP(v4, v1) = v6) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 228.41/37.62 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ~
% 228.41/37.62 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) |
% 228.41/37.62 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v6)))
% 228.41/37.62
% 228.41/37.62 (fact_nat__mult__less__cancel1)
% 228.41/37.62 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 228.41/37.62 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 228.41/37.62 $i] : ! [v6: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) =
% 228.41/37.62 v4) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v6) | ~ $i(v3) | ~
% 228.41/37.62 $i(v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v6)
% 228.41/37.62 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) |
% 228.41/37.62 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1)) & ! [v1: $i] : !
% 228.41/37.62 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 228.41/37.62 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~ (hAPP(v4, v2) =
% 228.41/37.62 v5) | ~ (hAPP(v4, v1) = v6) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 228.41/37.62 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~
% 228.41/37.62 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) |
% 228.41/37.62 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v6)))
% 228.41/37.62
% 228.41/37.62 (fact_nat__number__of__Pls)
% 228.41/37.62 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] :
% 228.41/37.62 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = v0 &
% 228.41/37.62 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0))
% 228.41/37.62
% 228.41/37.62 (fact_nat__number__of__mult__left)
% 228.41/37.62 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_Int_Oint) & ? [v0: $i] :
% 228.41/37.62 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) & ! [v1: $i] : !
% 228.41/37.62 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 228.41/37.62 $i] : ! [v8: $i] : ! [v9: $i] : (v9 = v0 | ~
% 228.41/37.62 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v4) | ~
% 228.41/37.62 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v6) | ~
% 228.41/37.62 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v6) = v7) | ~
% 228.41/37.62 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v4) = v5) | ~ (hAPP(v7, v1) =
% 228.41/37.62 v8) | ~ (hAPP(v5, v8) = v9) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 228.41/37.62 c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, c_Int_OPls)) & ! [v1: $i]
% 228.41/37.62 : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 228.41/37.62 [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 228.41/37.62 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v4) | ~
% 228.41/37.62 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v6) | ~
% 228.41/37.62 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v6) = v7) | ~
% 228.41/37.62 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v4) = v5) | ~ (hAPP(v7, v1) =
% 228.41/37.62 v8) | ~ (hAPP(v5, v8) = v9) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) |
% 228.41/37.62 c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, c_Int_OPls) | ? [v10: $i]
% 228.41/37.62 : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] :
% 228.41/37.62 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v11) = v12 &
% 228.41/37.62 c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v12) = v13 &
% 228.41/37.62 c_Groups_Otimes__class_Otimes(tc_Int_Oint, v3) = v10 & hAPP(v13, v1) =
% 228.41/37.62 v9 & hAPP(v10, v2) = v11 & $i(v13) & $i(v12) & $i(v11) & $i(v10) &
% 228.41/37.62 $i(v9))))
% 228.41/37.62
% 228.41/37.62 (fact_nat__numeral__1__eq__1)
% 228.41/37.62 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] :
% 228.41/37.62 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 228.41/37.62 v0) = v1 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0))
% 228.41/37.62
% 228.41/37.62 (fact_nat__power__less__imp__less)
% 228.41/37.62 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 228.41/37.62 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 228.41/37.62 $i] : ( ~ (c_Power_Opower__class_Opower(tc_Nat_Onat, v3, v2) = v4) | ~
% 228.41/37.62 (c_Power_Opower__class_Opower(tc_Nat_Onat, v3, v1) = v5) | ~ $i(v3) | ~
% 228.41/37.62 $i(v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5)
% 228.41/37.62 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) |
% 228.41/37.62 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1)))
% 228.41/37.62
% 228.41/37.62 (fact_nat__zero__less__power__iff)
% 228.41/37.62 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 228.41/37.62 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 228.41/37.62 (c_Power_Opower__class_Opower(tc_Nat_Onat, v2, v1) = v3) | ~ $i(v2) | ~
% 228.41/37.62 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) |
% 228.41/37.62 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)) & ! [v1: $i] : !
% 228.41/37.62 [v2: $i] : ! [v3: $i] : ( ~ (c_Power_Opower__class_Opower(tc_Nat_Onat, v2,
% 228.41/37.62 v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 228.41/37.62 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) |
% 228.41/37.62 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3)) & ! [v1: $i] : !
% 228.41/37.62 [v2: $i] : ( ~ (c_Power_Opower__class_Opower(tc_Nat_Onat, v1, v0) = v2) | ~
% 228.41/37.62 $i(v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)))
% 228.41/37.62
% 228.41/37.62 (fact_neg__0__equal__iff__equal)
% 228.41/37.62 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 228.41/37.62 (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 228.41/37.62 class_Groups_Ogroup__add(v1) | ? [v3: $i] :
% 228.41/37.62 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~ (v3 = v2) | v2 = v0) &
% 228.41/37.62 ( ~ (v3 = v0) | v2 = v0)))
% 228.41/37.62
% 228.41/37.62 (fact_neg__0__le__iff__le)
% 228.41/37.62 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 228.41/37.62 (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 228.41/37.62 class_Groups_Oordered__ab__group__add(v1) | ? [v3: $i] :
% 228.41/37.62 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~
% 228.41/37.62 c_Orderings_Oord__class_Oless__eq(v1, v3, v2) |
% 228.41/37.62 c_Orderings_Oord__class_Oless__eq(v1, v0, v3)) & ( ~
% 228.41/37.62 c_Orderings_Oord__class_Oless__eq(v1, v0, v3) |
% 228.41/37.62 c_Orderings_Oord__class_Oless__eq(v1, v3, v2))))
% 228.41/37.62
% 228.41/37.62 (fact_neg__0__less__iff__less)
% 228.41/37.63 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 228.41/37.63 (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 228.41/37.63 class_Groups_Oordered__ab__group__add(v1) | ? [v3: $i] :
% 228.41/37.63 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~
% 228.41/37.63 c_Orderings_Oord__class_Oless(v1, v3, v2) |
% 228.41/37.63 c_Orderings_Oord__class_Oless(v1, v0, v3)) & ( ~
% 228.41/37.63 c_Orderings_Oord__class_Oless(v1, v0, v3) |
% 228.41/37.63 c_Orderings_Oord__class_Oless(v1, v3, v2))))
% 228.41/37.63
% 228.41/37.63 (fact_neg__equal__0__iff__equal)
% 228.41/37.63 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 228.41/37.63 (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 228.41/37.63 class_Groups_Ogroup__add(v1) | ? [v3: $i] :
% 228.41/37.63 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~ (v3 = v2) | v2 = v0) &
% 228.41/37.63 ( ~ (v3 = v0) | v2 = v0)))
% 228.41/37.63
% 228.41/37.63 (fact_neg__le__0__iff__le)
% 228.41/37.63 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 228.41/37.63 (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 228.41/37.63 class_Groups_Oordered__ab__group__add(v1) | ? [v3: $i] :
% 228.41/37.63 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~
% 228.41/37.63 c_Orderings_Oord__class_Oless__eq(v1, v3, v0) |
% 228.41/37.63 c_Orderings_Oord__class_Oless__eq(v1, v2, v3)) & ( ~
% 228.41/37.63 c_Orderings_Oord__class_Oless__eq(v1, v2, v3) |
% 228.41/37.63 c_Orderings_Oord__class_Oless__eq(v1, v3, v0))))
% 228.41/37.63
% 228.41/37.63 (fact_neg__less__0__iff__less)
% 228.41/37.63 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 228.41/37.63 (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 228.41/37.63 class_Groups_Oordered__ab__group__add(v1) | ? [v3: $i] :
% 228.41/37.63 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~
% 228.41/37.63 c_Orderings_Oord__class_Oless(v1, v3, v0) |
% 228.41/37.63 c_Orderings_Oord__class_Oless(v1, v2, v3)) & ( ~
% 228.41/37.63 c_Orderings_Oord__class_Oless(v1, v2, v3) |
% 228.41/37.63 c_Orderings_Oord__class_Oless(v1, v3, v0))))
% 228.41/37.63
% 228.41/37.63 (fact_neq0__conv)
% 228.41/37.63 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 228.41/37.63 & $i(v0) & ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v0) & ? [v1:
% 228.41/37.63 $i] : (v1 = v0 | ~ $i(v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 228.41/37.63 v0, v1)))
% 228.41/37.63
% 228.41/37.63 (fact_no__zero__divisors)
% 228.41/37.63 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 228.41/37.63 (c_Groups_Otimes__class_Otimes(v2, v1) = v3) | ~ (hAPP(v3, v0) = v4) | ~
% 228.41/37.63 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ class_Rings_Ono__zero__divisors(v2) | ?
% 228.41/37.63 [v5: $i] : (c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v5) & ( ~ (v5 = v4) |
% 228.41/37.63 v4 = v1 | v4 = v0)))
% 228.41/37.63
% 228.41/37.63 (fact_not__exp__le__zero)
% 228.41/37.63 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 228.41/37.63 (c_Transcendental_Oexp(tc_RealDef_Oreal) = v0 &
% 228.41/37.63 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & !
% 228.41/37.63 [v2: $i] : ! [v3: $i] : ( ~ (hAPP(v0, v2) = v3) | ~ $i(v2) | ~
% 228.41/37.63 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v1)))
% 228.41/37.63
% 228.41/37.63 (fact_not__exp__less__zero)
% 228.41/37.63 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 228.41/37.63 (c_Transcendental_Oexp(tc_RealDef_Oreal) = v0 &
% 228.41/37.63 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & !
% 228.41/37.63 [v2: $i] : ! [v3: $i] : ( ~ (hAPP(v0, v2) = v3) | ~ $i(v2) | ~
% 228.41/37.63 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v1)))
% 228.41/37.63
% 228.41/37.63 (fact_not__iszero__Numeral1)
% 228.41/37.63 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & !
% 228.41/37.63 [v1: $i] : ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2)
% 228.41/37.63 | ~ $i(v1) | ~ c_Int_Oiszero(v1, v2) | ~ class_Int_Onumber__ring(v1)))
% 228.41/37.63
% 228.41/37.63 (fact_not__less0)
% 228.41/37.63 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 228.41/37.63 & $i(v0) & ! [v1: $i] : ( ~ $i(v1) | ~
% 228.41/37.63 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0)))
% 228.41/37.63
% 228.41/37.63 (fact_not__one__le__zero)
% 228.41/37.63 ! [v0: $i] : ! [v1: $i] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~
% 228.41/37.63 $i(v0) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2: $i] :
% 228.41/37.63 (c_Groups_Ozero__class_Ozero(v0) = v2 & $i(v2) & ~
% 228.41/37.63 c_Orderings_Oord__class_Oless__eq(v0, v1, v2)))
% 228.41/37.63
% 228.41/37.63 (fact_not__one__less__zero)
% 228.41/37.63 ! [v0: $i] : ! [v1: $i] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~
% 228.41/37.63 $i(v0) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2: $i] :
% 228.41/37.63 (c_Groups_Ozero__class_Ozero(v0) = v2 & $i(v2) & ~
% 228.41/37.63 c_Orderings_Oord__class_Oless(v0, v1, v2)))
% 228.41/37.63
% 228.41/37.63 (fact_not__real__square__gt__zero)
% 228.41/37.63 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.41/37.63 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 228.41/37.63 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 228.41/37.63 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1) = v2) | ~ (hAPP(v2,
% 228.41/37.63 v1) = v3) | ~ $i(v1) |
% 228.41/37.63 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)) & ! [v1: $i] :
% 228.41/37.63 ! [v2: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0) = v1)
% 228.41/37.63 | ~ (hAPP(v1, v0) = v2) | ~
% 228.41/37.63 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2)))
% 228.41/37.63
% 228.41/37.63 (fact_not__sum__power2__lt__zero)
% 228.41/37.63 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.41/37.63 (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.41/37.63 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 228.41/37.63 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 228.41/37.63 : ! [v8: $i] : ( ~ (c_Power_Opower__class_Opower(v5, v4, v2) = v6) | ~
% 228.41/37.63 (c_Power_Opower__class_Opower(v5, v3, v2) = v7) | ~
% 228.41/37.63 (c_Groups_Oplus__class_Oplus(v5, v6, v7) = v8) | ~ $i(v5) | ~ $i(v4) |
% 228.41/37.63 ~ $i(v3) | ~ class_Rings_Olinordered__idom(v5) | ? [v9: $i] :
% 228.41/37.63 (c_Groups_Ozero__class_Ozero(v5) = v9 & $i(v9) & ~
% 228.41/37.63 c_Orderings_Oord__class_Oless(v5, v8, v9))))
% 228.41/37.63
% 228.41/37.63 (fact_number__of1)
% 228.41/37.63 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 228.41/37.63 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 228.41/37.63 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~ $i(v1) | ~
% 228.41/37.63 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | ? [v3: $i] : ?
% 228.41/37.63 [v4: $i] : ? [v5: $i] : ? [v6: $i] : (c_Int_OBit0(v1) = v3 &
% 228.41/37.63 c_Int_OBit1(v1) = v5 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v5)
% 228.41/37.63 = v6 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v3) = v4 & $i(v6) &
% 228.41/37.63 $i(v5) & $i(v4) & $i(v3) &
% 228.41/37.63 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v6) &
% 228.41/37.63 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v4))))
% 228.41/37.63
% 228.41/37.63 (fact_number__of2)
% 228.41/37.63 $i(c_Int_OPls) & $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 228.41/37.63 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) = v1 &
% 228.41/37.63 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0) &
% 228.41/37.63 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1))
% 228.41/37.63
% 228.41/37.63 (fact_number__of__is__id)
% 228.41/37.63 $i(tc_Int_Oint) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 228.41/37.63 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v1) | ~ $i(v0))
% 228.41/37.63
% 228.41/37.63 (fact_numeral__1__eq__1)
% 228.41/37.64 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & !
% 228.41/37.64 [v1: $i] : ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2)
% 228.41/37.64 | ~ $i(v1) | ~ class_Int_Onumber__ring(v1) |
% 228.41/37.64 (c_Groups_Oone__class_Oone(v1) = v2 & $i(v2))))
% 228.41/37.64
% 228.41/37.64 (fact_odd__less__0)
% 228.41/37.64 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 228.41/37.64 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 &
% 228.41/37.64 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v1 & $i(v1) & $i(v0) & ! [v2:
% 228.41/37.64 $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 228.41/37.64 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v2) = v4) | ~
% 228.41/37.64 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v2) = v3) | ~ $i(v2) | ~
% 228.41/37.64 c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v1) |
% 228.41/37.64 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1)) & ! [v2: $i] : !
% 228.41/37.64 [v3: $i] : ! [v4: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3,
% 228.41/37.64 v2) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v2) = v3)
% 228.41/37.64 | ~ $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) |
% 228.41/37.64 c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v1)))
% 228.41/37.64
% 228.41/37.64 (fact_odd__nonzero)
% 228.41/37.64 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 228.41/37.64 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 &
% 228.41/37.64 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v1 & $i(v1) & $i(v0) & ! [v2:
% 228.41/37.64 $i] : ! [v3: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v2)
% 228.41/37.64 = v1) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v2) = v3) | ~
% 228.41/37.64 $i(v2)))
% 228.41/37.64
% 228.41/37.64 (fact_one0)
% 228.41/37.64 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 228.41/37.64 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 228.41/37.64 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) &
% 228.41/37.64 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1))
% 228.41/37.64
% 228.41/37.64 (fact_one__add__one__is__two)
% 228.41/37.64 $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : (c_Int_OBit0(v0) = v1 &
% 228.41/37.64 c_Int_OBit1(c_Int_OPls) = v0 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] :
% 228.41/37.64 ( ~ (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ $i(v2) | ~
% 228.41/37.64 class_Int_Onumber__ring(v2) | ? [v4: $i] :
% 228.41/37.64 (c_Groups_Oplus__class_Oplus(v2, v4, v4) = v3 &
% 228.41/37.64 c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & $i(v3))))
% 228.41/37.64
% 228.41/37.64 (fact_one__is__num__one)
% 228.41/37.64 $i(c_Int_OPls) & $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 228.41/37.64 (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint,
% 228.41/37.64 v1) = v0 & c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v1) & $i(v0))
% 228.41/37.64
% 228.41/37.64 (fact_one__le__exp__iff)
% 228.41/37.64 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.41/37.64 (c_Transcendental_Oexp(tc_RealDef_Oreal) = v1 &
% 228.41/37.64 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 228.41/37.64 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v2 & $i(v2) & $i(v1) &
% 228.41/37.64 $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~ (hAPP(v1, v3) = v4) | ~ $i(v3) |
% 228.41/37.64 ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v3) |
% 228.41/37.64 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v4)) & ! [v3: $i]
% 228.41/37.64 : ! [v4: $i] : ( ~ (hAPP(v1, v3) = v4) | ~ $i(v3) | ~
% 228.41/37.64 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v4) |
% 228.41/37.64 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v3)))
% 228.41/37.64
% 228.41/37.64 (fact_one__less__exp__iff)
% 228.41/37.64 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.41/37.64 (c_Transcendental_Oexp(tc_RealDef_Oreal) = v1 &
% 228.41/37.64 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 228.41/37.64 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v2 & $i(v2) & $i(v1) &
% 228.41/37.64 $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~ (hAPP(v1, v3) = v4) | ~ $i(v3) |
% 228.41/37.64 ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v3) |
% 228.41/37.64 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4)) & ! [v3: $i] :
% 228.41/37.64 ! [v4: $i] : ( ~ (hAPP(v1, v3) = v4) | ~ $i(v3) | ~
% 228.41/37.64 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 228.41/37.64 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v3)))
% 228.41/37.64
% 228.41/37.64 (fact_one__less__power)
% 228.41/37.64 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 228.41/37.64 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 228.41/37.64 (c_Power_Opower__class_Opower(v3, v2, v1) = v4) | ~ $i(v3) | ~ $i(v2) |
% 228.41/37.64 ~ $i(v1) | ~ class_Rings_Olinordered__semidom(v3) | ~
% 228.41/37.64 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) | ? [v5: $i] :
% 228.41/37.64 (c_Groups_Oone__class_Oone(v3) = v5 & $i(v5) & ( ~
% 228.41/37.64 c_Orderings_Oord__class_Oless(v3, v5, v2) |
% 228.41/37.64 c_Orderings_Oord__class_Oless(v3, v5, v4)))))
% 228.41/37.64
% 228.41/37.64 (fact_one__power2)
% 228.41/37.64 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.41/37.64 (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.41/37.64 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 228.41/37.64 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v4 | ~
% 228.41/37.64 (c_Power_Opower__class_Opower(v3, v4, v2) = v5) | ~
% 228.41/37.64 (c_Groups_Oone__class_Oone(v3) = v4) | ~ $i(v3) | ~
% 228.41/37.64 class_Rings_Osemiring__1(v3)))
% 228.41/37.64
% 228.41/37.64 (fact_order__le__less)
% 228.41/37.64 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ $i(v2) | ~ $i(v1) |
% 228.41/37.64 ~ $i(v0) | ~ class_Orderings_Oorder(v2) | ~
% 228.41/37.64 c_Orderings_Oord__class_Oless__eq(v2, v1, v0) |
% 228.41/37.64 c_Orderings_Oord__class_Oless(v2, v1, v0)) & ! [v0: $i] : ! [v1: $i] : !
% 228.41/37.64 [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ class_Orderings_Oorder(v2)
% 228.41/37.64 | ~ c_Orderings_Oord__class_Oless(v2, v1, v0) |
% 228.41/37.64 c_Orderings_Oord__class_Oless__eq(v2, v1, v0)) & ? [v0: $i] : ! [v1: $i] :
% 228.41/37.64 ( ~ $i(v1) | ~ $i(v0) | ~ class_Orderings_Oorder(v1) |
% 228.41/37.64 c_Orderings_Oord__class_Oless__eq(v1, v0, v0))
% 228.41/37.64
% 228.41/37.64 (fact_plus__nat_Oadd__0)
% 228.41/37.64 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 228.41/37.64 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 228.41/37.64 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v2) | ~ $i(v1)))
% 228.41/37.64
% 228.41/37.64 (fact_pos2)
% 228.41/37.64 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.41/37.64 ? [v3: $i] : (c_Int_OBit0(v1) = v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 228.41/37.64 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 &
% 228.41/37.64 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v3) & $i(v2) & $i(v1) &
% 228.41/37.64 $i(v0) & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3))
% 228.41/37.64
% 228.41/37.64 (fact_pos__less__divide__eq)
% 228.41/37.64 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 228.41/37.64 $i] : ! [v6: $i] : ( ~ (c_Groups_Otimes__class_Otimes(v3, v1) = v5) | ~
% 228.41/37.64 (c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v4) | ~ (hAPP(v5, v2) = v6)
% 228.41/37.64 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 228.41/37.65 class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless(v3,
% 228.41/37.65 v6, v0) | c_Orderings_Oord__class_Oless(v3, v1, v4) | ? [v7: $i] :
% 228.41/37.65 (c_Groups_Ozero__class_Ozero(v3) = v7 & $i(v7) & ~
% 228.41/37.65 c_Orderings_Oord__class_Oless(v3, v7, v2))) & ! [v0: $i] : ! [v1: $i] :
% 228.41/37.65 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 228.41/37.65 (c_Groups_Otimes__class_Otimes(v3, v1) = v5) | ~
% 228.41/37.65 (c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v4) | ~ (hAPP(v5, v2) = v6)
% 228.41/37.65 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 228.41/37.65 class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless(v3,
% 228.41/37.65 v1, v4) | c_Orderings_Oord__class_Oless(v3, v6, v0) | ? [v7: $i] :
% 228.41/37.65 (c_Groups_Ozero__class_Ozero(v3) = v7 & $i(v7) & ~
% 228.41/37.65 c_Orderings_Oord__class_Oless(v3, v7, v2)))
% 228.41/37.65
% 228.41/37.65 (fact_pos__zmult__eq__1__iff)
% 228.41/37.65 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 228.41/37.65 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 &
% 228.41/37.65 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0) & ! [v2:
% 228.41/37.65 $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v1 | ~
% 228.41/37.65 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v3) = v4) | ~ (hAPP(v4, v2) =
% 228.41/37.65 v1) | ~ $i(v3) | ~ $i(v2) | ~
% 228.41/37.65 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3)) & ! [v2: $i] : !
% 228.41/37.65 [v3: $i] : ! [v4: $i] : (v2 = v1 | ~
% 228.41/37.65 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v3) = v4) | ~ (hAPP(v4, v2) =
% 228.41/37.65 v1) | ~ $i(v3) | ~ $i(v2) | ~
% 228.41/37.65 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3)) & ! [v2: $i] : !
% 228.41/37.65 [v3: $i] : (v3 = v1 | ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1) =
% 228.41/37.65 v2) | ~ (hAPP(v2, v1) = v3) | ~
% 228.41/37.65 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1)))
% 228.41/37.65
% 228.41/37.65 (fact_power2__eq__1__iff)
% 228.41/37.65 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.41/37.65 (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.41/37.65 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 228.41/37.65 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 228.41/37.65 (c_Power_Opower__class_Opower(v4, v3, v2) = v5) | ~ $i(v4) | ~ $i(v3) |
% 228.41/37.65 ~ class_Rings_Oring__1__no__zero__divisors(v4) | ? [v6: $i] : ? [v7: $i]
% 228.41/37.65 : (c_Groups_Oone__class_Oone(v4) = v6 & $i(v6) & ( ~ (v6 = v5) | v5 = v3 |
% 228.41/37.65 (v7 = v3 & c_Groups_Ouminus__class_Ouminus(v4, v5) = v3)) & (v6 = v5 |
% 228.41/37.65 ( ~ (v7 = v3) & ~ (v6 = v3) & c_Groups_Ouminus__class_Ouminus(v4, v6)
% 228.41/37.65 = v7 & $i(v7))))))
% 228.41/37.65
% 228.41/37.65 (fact_power2__eq__imp__eq)
% 228.41/37.65 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.41/37.65 (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.41/37.65 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 228.41/37.65 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v4 = v3 |
% 228.41/37.65 ~ (c_Power_Opower__class_Opower(v5, v4, v2) = v6) | ~
% 228.41/37.65 (c_Power_Opower__class_Opower(v5, v3, v2) = v6) | ~ $i(v5) | ~ $i(v4) |
% 228.41/37.65 ~ $i(v3) | ~ class_Rings_Olinordered__semidom(v5) | ? [v7: $i] :
% 228.41/37.65 (c_Groups_Ozero__class_Ozero(v5) = v7 & $i(v7) & ( ~
% 228.41/37.65 c_Orderings_Oord__class_Oless__eq(v5, v7, v4) | ~
% 228.41/37.65 c_Orderings_Oord__class_Oless__eq(v5, v7, v3)))))
% 228.41/37.65
% 228.41/37.65 (fact_power2__eq__square)
% 228.41/37.65 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.41/37.65 (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.41/37.65 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 228.41/37.65 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 228.41/37.65 (c_Power_Opower__class_Opower(v4, v3, v2) = v5) | ~ $i(v4) | ~ $i(v3) |
% 228.41/37.65 ~ class_Groups_Omonoid__mult(v4) | ? [v6: $i] :
% 228.41/37.65 (c_Groups_Otimes__class_Otimes(v4, v3) = v6 & hAPP(v6, v3) = v5 & $i(v6) &
% 228.41/37.65 $i(v5))))
% 228.41/37.65
% 228.41/37.65 (fact_power2__eq__square__number__of)
% 228.41/37.65 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.41/37.65 (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.41/37.65 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 228.41/37.65 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 228.41/37.65 (c_Power_Opower__class_Opower(v4, v5, v2) = v6) | ~
% 228.41/37.65 (c_Int_Onumber__class_Onumber__of(v4, v3) = v5) | ~ $i(v4) | ~ $i(v3) |
% 228.41/37.65 ~ class_Int_Onumber(v4) | ~ class_Groups_Omonoid__mult(v4) | ? [v7: $i]
% 228.41/37.65 : (c_Groups_Otimes__class_Otimes(v4, v5) = v7 & hAPP(v7, v5) = v6 & $i(v7)
% 228.41/37.65 & $i(v6))))
% 228.41/37.65
% 228.41/37.65 (fact_power2__le__imp__le)
% 228.41/37.65 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.41/37.65 (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.41/37.65 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 228.41/37.65 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 228.41/37.65 : ( ~ (c_Power_Opower__class_Opower(v5, v4, v2) = v6) | ~
% 228.41/37.65 (c_Power_Opower__class_Opower(v5, v3, v2) = v7) | ~ $i(v5) | ~ $i(v4) |
% 228.41/37.65 ~ $i(v3) | ~ c_Orderings_Oord__class_Oless__eq(v5, v6, v7) | ~
% 228.41/37.65 class_Rings_Olinordered__semidom(v5) |
% 228.41/37.65 c_Orderings_Oord__class_Oless__eq(v5, v4, v3) | ? [v8: $i] :
% 228.41/37.65 (c_Groups_Ozero__class_Ozero(v5) = v8 & $i(v8) & ~
% 228.41/37.65 c_Orderings_Oord__class_Oless__eq(v5, v8, v3))))
% 228.41/37.65
% 228.41/37.65 (fact_power2__less__0)
% 228.41/37.65 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.41/37.65 (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.41/37.65 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 228.41/37.65 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 228.41/37.65 (c_Power_Opower__class_Opower(v4, v3, v2) = v5) | ~ $i(v4) | ~ $i(v3) |
% 228.41/37.65 ~ class_Rings_Olinordered__idom(v4) | ? [v6: $i] :
% 228.41/37.65 (c_Groups_Ozero__class_Ozero(v4) = v6 & $i(v6) & ~
% 228.41/37.65 c_Orderings_Oord__class_Oless(v4, v5, v6))))
% 228.41/37.65
% 228.41/37.65 (fact_power2__less__imp__less)
% 228.41/37.65 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.41/37.65 (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.41/37.65 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 228.41/37.65 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 228.41/37.65 : ( ~ (c_Power_Opower__class_Opower(v5, v4, v2) = v6) | ~
% 228.41/37.65 (c_Power_Opower__class_Opower(v5, v3, v2) = v7) | ~ $i(v5) | ~ $i(v4) |
% 228.41/37.65 ~ $i(v3) | ~ class_Rings_Olinordered__semidom(v5) | ~
% 228.41/37.65 c_Orderings_Oord__class_Oless(v5, v6, v7) |
% 228.41/37.65 c_Orderings_Oord__class_Oless(v5, v4, v3) | ? [v8: $i] :
% 228.41/37.65 (c_Groups_Ozero__class_Ozero(v5) = v8 & $i(v8) & ~
% 228.41/37.65 c_Orderings_Oord__class_Oless__eq(v5, v8, v3))))
% 228.41/37.65
% 228.41/37.65 (fact_power2__minus)
% 228.41/37.65 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.41/37.65 (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.41/37.65 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 228.41/37.65 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 228.41/37.65 (c_Power_Opower__class_Opower(v4, v5, v2) = v6) | ~
% 228.41/37.65 (c_Groups_Ouminus__class_Ouminus(v4, v3) = v5) | ~ $i(v4) | ~ $i(v3) |
% 228.41/37.65 ~ class_Rings_Oring__1(v4) | (c_Power_Opower__class_Opower(v4, v3, v2) =
% 228.41/37.65 v6 & $i(v6))))
% 228.41/37.65
% 228.41/37.65 (fact_power2__sum)
% 228.41/37.66 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.41/37.66 (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.41/37.66 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 228.41/37.66 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 228.41/37.66 : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: $i] :
% 228.41/37.66 ! [v13: $i] : ! [v14: $i] : ( ~ (c_Power_Opower__class_Opower(v5, v4, v2) =
% 228.41/37.66 v6) | ~ (c_Power_Opower__class_Opower(v5, v3, v2) = v7) | ~
% 228.41/37.66 (c_Int_Onumber__class_Onumber__of(v5, v1) = v9) | ~
% 228.41/37.66 (c_Groups_Oplus__class_Oplus(v5, v8, v13) = v14) | ~
% 228.41/37.66 (c_Groups_Oplus__class_Oplus(v5, v6, v7) = v8) | ~
% 228.41/37.66 (c_Groups_Otimes__class_Otimes(v5, v11) = v12) | ~
% 228.41/37.66 (c_Groups_Otimes__class_Otimes(v5, v9) = v10) | ~ (hAPP(v12, v3) = v13) |
% 228.41/37.66 ~ (hAPP(v10, v4) = v11) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~
% 228.41/37.66 class_Int_Onumber__ring(v5) | ? [v15: $i] :
% 228.41/37.66 (c_Power_Opower__class_Opower(v5, v15, v2) = v14 &
% 228.41/37.66 c_Groups_Oplus__class_Oplus(v5, v4, v3) = v15 & $i(v15) & $i(v14))))
% 228.41/37.66
% 228.41/37.66 (fact_power3__eq__cube)
% 228.41/37.66 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.41/37.66 (c_Int_OBit1(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.41/37.66 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 228.41/37.66 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 228.41/37.66 (c_Power_Opower__class_Opower(v4, v3, v2) = v5) | ~ $i(v4) | ~ $i(v3) |
% 228.41/37.66 ~ class_Groups_Omonoid__mult(v4) | ? [v6: $i] : ? [v7: $i] : ? [v8: $i]
% 228.41/37.66 : (c_Groups_Otimes__class_Otimes(v4, v7) = v8 &
% 228.41/37.66 c_Groups_Otimes__class_Otimes(v4, v3) = v6 & hAPP(v8, v3) = v5 &
% 228.41/37.66 hAPP(v6, v3) = v7 & $i(v8) & $i(v7) & $i(v6) & $i(v5))))
% 228.41/37.66
% 228.41/37.66 (fact_power__0)
% 228.41/37.66 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 228.41/37.66 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 228.41/37.66 (c_Power_Opower__class_Opower(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 228.41/37.66 ~ class_Power_Opower(v2) | (c_Groups_Oone__class_Oone(v2) = v3 & $i(v3))))
% 228.41/37.66
% 228.41/37.66 (fact_power__0__left)
% 228.41/37.66 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 228.41/37.66 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v3
% 228.41/37.66 | v1 = v0 | ~ (c_Power_Opower__class_Opower(v2, v3, v1) = v4) | ~
% 228.41/37.66 (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 228.41/37.66 class_Rings_Osemiring__0(v2) | ~ class_Power_Opower(v2)) & ! [v1: $i] :
% 228.41/37.66 ! [v2: $i] : ! [v3: $i] : ( ~ (c_Power_Opower__class_Opower(v1, v2, v0) =
% 228.41/37.66 v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ $i(v1) | ~
% 228.41/37.66 class_Rings_Osemiring__0(v1) | ~ class_Power_Opower(v1) |
% 228.41/37.66 (c_Groups_Oone__class_Oone(v1) = v3 & $i(v3))))
% 228.41/37.66
% 228.41/37.66 (fact_power__0__left__number__of)
% 228.41/37.66 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 228.41/37.66 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 228.41/37.66 $i] : (v5 = v4 | v3 = v0 | ~ (c_Power_Opower__class_Opower(v2, v4, v3) =
% 228.41/37.66 v5) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v3) | ~
% 228.41/37.66 (c_Groups_Ozero__class_Ozero(v2) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 228.41/37.66 class_Rings_Osemiring__0(v2) | ~ class_Power_Opower(v2)) & ! [v1: $i] :
% 228.41/37.66 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 228.41/37.66 (c_Power_Opower__class_Opower(v2, v3, v0) = v4) | ~
% 228.41/37.66 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v0) | ~
% 228.41/37.66 (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 228.41/37.66 class_Rings_Osemiring__0(v2) | ~ class_Power_Opower(v2) |
% 228.41/37.66 (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4))))
% 228.41/37.66
% 228.41/37.66 (fact_power__eq__0__iff)
% 228.41/37.66 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 228.41/37.66 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 228.41/37.66 (c_Power_Opower__class_Opower(v3, v2, v1) = v4) | ~ $i(v3) | ~ $i(v2) |
% 228.41/37.66 ~ $i(v1) | ~ class_Power_Opower(v3) | ~ class_Rings_Ozero__neq__one(v3)
% 228.41/37.66 | ~ class_Rings_Omult__zero(v3) | ~ class_Rings_Ono__zero__divisors(v3)
% 228.41/37.66 | ? [v5: $i] : (c_Groups_Ozero__class_Ozero(v3) = v5 & $i(v5) & ( ~ (v5 =
% 228.41/37.66 v4) | (v4 = v2 & ~ (v1 = v0))) & ( ~ (v5 = v2) | v4 = v2 | v1 =
% 228.41/37.66 v0))))
% 228.41/37.66
% 228.41/37.66 (fact_power__eq__0__iff__number__of)
% 228.41/37.66 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 228.41/37.66 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 228.41/37.66 $i] : ( ~ (c_Power_Opower__class_Opower(v3, v2, v4) = v5) | ~
% 228.41/37.66 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v4) | ~ $i(v3) | ~
% 228.41/37.66 $i(v2) | ~ $i(v1) | ~ class_Power_Opower(v3) | ~
% 228.41/37.66 class_Rings_Ozero__neq__one(v3) | ~ class_Rings_Omult__zero(v3) | ~
% 228.41/37.66 class_Rings_Ono__zero__divisors(v3) | ? [v6: $i] :
% 228.41/37.66 (c_Groups_Ozero__class_Ozero(v3) = v6 & $i(v6) & ( ~ (v6 = v5) | (v5 = v2
% 228.41/37.66 & ~ (v4 = v0))) & ( ~ (v6 = v2) | v5 = v2 | v4 = v0))))
% 228.41/37.66
% 228.41/37.66 (fact_power__eq__imp__eq__base)
% 228.41/37.66 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 228.41/37.66 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 228.41/37.66 $i] : (v3 = v1 | ~ (c_Power_Opower__class_Opower(v4, v3, v2) = v5) | ~
% 228.41/37.66 (c_Power_Opower__class_Opower(v4, v1, v2) = v5) | ~ $i(v4) | ~ $i(v3) |
% 228.41/37.66 ~ $i(v2) | ~ $i(v1) | ~ class_Rings_Olinordered__semidom(v4) | ~
% 228.41/37.66 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) | ? [v6: $i] :
% 228.41/37.66 (c_Groups_Ozero__class_Ozero(v4) = v6 & $i(v6) & ( ~
% 228.41/37.66 c_Orderings_Oord__class_Oless__eq(v4, v6, v3) | ~
% 228.41/37.66 c_Orderings_Oord__class_Oless__eq(v4, v6, v1)))))
% 228.41/37.66
% 228.41/37.66 (fact_power__even__eq)
% 228.41/37.66 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.41/37.66 ? [v3: $i] : (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.41/37.66 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 228.41/37.66 c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3 & $i(v3) & $i(v2) &
% 228.41/37.66 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 228.41/37.66 [v8: $i] : ( ~ (c_Power_Opower__class_Opower(v6, v5, v7) = v8) | ~
% 228.41/37.66 (hAPP(v3, v4) = v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~
% 228.41/37.66 class_Groups_Omonoid__mult(v6) | ? [v9: $i] :
% 228.41/37.66 (c_Power_Opower__class_Opower(v6, v9, v2) = v8 &
% 228.41/37.66 c_Power_Opower__class_Opower(v6, v5, v4) = v9 & $i(v9) & $i(v8))))
% 228.41/37.66
% 228.41/37.66 (fact_power__minus1__even)
% 228.41/37.66 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.41/37.66 ? [v3: $i] : (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.41/37.66 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 228.41/37.66 c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3 & $i(v3) & $i(v2) &
% 228.41/37.66 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 228.41/37.66 [v8: $i] : ! [v9: $i] : (v9 = v6 | ~ (c_Power_Opower__class_Opower(v5, v7,
% 228.41/37.66 v8) = v9) | ~ (c_Groups_Ouminus__class_Ouminus(v5, v6) = v7) | ~
% 228.41/37.66 (c_Groups_Oone__class_Oone(v5) = v6) | ~ (hAPP(v3, v4) = v8) | ~ $i(v5)
% 228.41/37.66 | ~ $i(v4) | ~ class_Rings_Oring__1(v5)))
% 228.41/37.66
% 228.41/37.66 (fact_power__strict__mono)
% 228.41/37.66 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 228.41/37.66 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 228.41/37.66 $i] : ! [v6: $i] : ( ~ (c_Power_Opower__class_Opower(v4, v3, v1) = v5) |
% 228.41/37.66 ~ (c_Power_Opower__class_Opower(v4, v2, v1) = v6) | ~ $i(v4) | ~ $i(v3)
% 228.41/37.66 | ~ $i(v2) | ~ $i(v1) | ~ class_Rings_Olinordered__semidom(v4) | ~
% 228.41/37.66 c_Orderings_Oord__class_Oless(v4, v3, v2) | ~
% 228.41/37.66 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) |
% 228.41/37.66 c_Orderings_Oord__class_Oless(v4, v5, v6) | ? [v7: $i] :
% 228.41/37.66 (c_Groups_Ozero__class_Ozero(v4) = v7 & $i(v7) & ~
% 228.41/37.66 c_Orderings_Oord__class_Oless__eq(v4, v7, v3))))
% 228.41/37.66
% 228.41/37.66 (fact_q__neg__lemma)
% 228.41/37.67 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 228.41/37.67 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 228.41/37.67 $i] : ! [v6: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v5, v1)
% 228.41/37.67 = v6) | ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v3) = v4) | ~
% 228.41/37.67 (hAPP(v4, v2) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 228.41/37.67 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) | ~
% 228.41/37.67 c_Orderings_Oord__class_Oless(tc_Int_Oint, v6, v0) | ~
% 228.41/37.67 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) |
% 228.41/37.67 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0)))
% 228.41/37.67
% 228.41/37.67 (fact_q__pos__lemma)
% 228.41/37.67 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 228.41/37.67 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 228.41/37.67 $i] : ! [v6: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v5, v1)
% 228.41/37.67 = v6) | ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v3) = v4) | ~
% 228.41/37.67 (hAPP(v4, v2) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 228.41/37.67 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v6) | ~
% 228.41/37.67 c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v3) | ~
% 228.41/37.67 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) |
% 228.41/37.67 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2)))
% 228.41/37.67
% 228.41/37.67 (fact_rabs__ratiotest__lemma)
% 228.41/37.67 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.41/37.67 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 228.41/37.67 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 228.41/37.67 $i] : (v2 = v0 | ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v4)
% 228.41/37.67 | ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v6) | ~
% 228.41/37.67 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3) = v5) | ~ (hAPP(v5,
% 228.41/37.67 v6) = v7) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 228.41/37.67 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v7) | ~
% 228.41/37.67 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0)))
% 228.41/37.67
% 228.41/37.67 (fact_real__0__le__add__iff)
% 228.41/37.67 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.41/37.67 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 228.41/37.67 ! [v2: $i] : ! [v3: $i] : ( ~
% 228.41/37.67 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2) |
% 228.41/37.67 ~ $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)
% 228.41/37.67 | ? [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) =
% 228.41/37.67 v4 & $i(v4) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4,
% 228.41/37.67 v1))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 228.41/37.67 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2) |
% 228.41/37.67 ~ $i(v1) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) |
% 228.41/37.67 ? [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v4 &
% 228.41/37.67 $i(v4) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4,
% 228.41/37.67 v1))))
% 228.41/37.67
% 228.41/37.67 (fact_real__0__le__divide__iff)
% 228.41/37.67 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.41/37.67 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 228.41/37.67 ! [v2: $i] : ! [v3: $i] : ( ~
% 228.41/37.67 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 228.41/37.67 $i(v2) | ~ $i(v1) | ~
% 228.41/37.67 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) | ~
% 228.41/37.67 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) |
% 228.41/37.67 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)) & ! [v1: $i]
% 228.41/37.67 : ! [v2: $i] : ! [v3: $i] : ( ~
% 228.41/37.67 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 228.41/37.67 $i(v2) | ~ $i(v1) | ~
% 228.41/37.67 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) | ~
% 228.41/37.67 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) |
% 228.41/37.67 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)) & ! [v1: $i]
% 228.41/37.67 : ! [v2: $i] : ! [v3: $i] : ( ~
% 228.41/37.67 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 228.41/37.67 $i(v2) | ~ $i(v1) | ~
% 228.41/37.67 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) | ~
% 228.41/37.67 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) |
% 228.41/37.67 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)) & ! [v1: $i]
% 228.41/37.67 : ! [v2: $i] : ! [v3: $i] : ( ~
% 228.41/37.67 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 228.41/37.67 $i(v2) | ~ $i(v1) | ~
% 228.41/37.67 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) |
% 228.41/37.67 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) |
% 228.41/37.67 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1)) & ! [v1: $i]
% 228.41/37.67 : ! [v2: $i] : ! [v3: $i] : ( ~
% 228.41/37.67 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 228.41/37.67 $i(v2) | ~ $i(v1) | ~
% 228.41/37.67 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) |
% 228.41/37.67 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) |
% 228.41/37.67 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2)) & ! [v1: $i]
% 228.41/37.67 : ! [v2: $i] : ! [v3: $i] : ( ~
% 228.41/37.67 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 228.41/37.67 $i(v2) | ~ $i(v1) | ~
% 228.41/37.67 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) | ~
% 228.41/37.67 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) |
% 228.41/37.67 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)))
% 228.41/37.67
% 228.41/37.67 (fact_real__0__less__add__iff)
% 228.41/37.67 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.41/37.67 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 228.41/37.67 ! [v2: $i] : ! [v3: $i] : ( ~
% 228.41/37.67 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2) |
% 228.41/37.67 ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) |
% 228.41/37.67 ? [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v4 &
% 228.41/37.67 $i(v4) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v1))) & !
% 228.41/37.67 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 228.41/37.67 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2) |
% 228.41/37.67 ~ $i(v1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | ?
% 228.41/37.67 [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v4 &
% 228.41/37.67 $i(v4) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v1))))
% 228.41/37.67
% 228.41/37.67 (fact_real__add__eq__0__iff)
% 228.41/37.67 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.41/37.67 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 228.41/37.67 ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 228.41/37.67 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2) |
% 228.41/37.67 ~ $i(v1) | ? [v4: $i] : ( ~ (v4 = v1) &
% 228.41/37.67 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v4 & $i(v4))) &
% 228.41/37.67 ! [v1: $i] : ! [v2: $i] : ( ~
% 228.41/37.67 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v0) | ~ $i(v2) |
% 228.41/37.67 ~ $i(v1) | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v1))
% 228.41/37.67
% 228.41/37.67 (fact_real__add__le__0__iff)
% 228.41/37.67 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.41/37.67 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 228.41/37.67 ! [v2: $i] : ! [v3: $i] : ( ~
% 228.41/37.67 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2) |
% 228.41/37.67 ~ $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0)
% 228.41/37.67 | ? [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) =
% 228.41/37.67 v4 & $i(v4) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 228.41/37.67 v4))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 228.41/37.67 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2) |
% 228.41/37.67 ~ $i(v1) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) |
% 228.41/37.67 ? [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v4 &
% 228.41/37.67 $i(v4) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 228.41/37.67 v4))))
% 228.41/37.67
% 228.41/37.67 (fact_real__add__less__0__iff)
% 228.41/37.67 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.41/37.67 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 228.41/37.67 ! [v2: $i] : ! [v3: $i] : ( ~
% 228.41/37.67 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2) |
% 228.41/37.67 ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0) |
% 228.41/37.67 ? [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v4 &
% 228.41/37.67 $i(v4) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v4))) & !
% 228.41/37.67 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 228.41/37.67 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2) |
% 228.41/37.67 ~ $i(v1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0) | ?
% 228.41/37.67 [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v4 &
% 228.41/37.67 $i(v4) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v4))))
% 228.41/37.67
% 228.41/37.67 (fact_real__add__minus__iff)
% 228.41/37.67 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.41/37.67 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 228.41/37.67 ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 228.41/37.67 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2) | ~
% 228.41/37.67 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v2) = v3) | ~ $i(v1))
% 228.41/37.67 & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v2 = v1 | ~
% 228.41/37.67 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3) | ~
% 228.41/37.67 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) = v0) | ~ $i(v2) |
% 228.41/37.67 ~ $i(v1)))
% 228.41/37.67
% 228.41/37.67 (fact_real__gt__half__sum)
% 228.41/37.68 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 228.41/37.68 $i] : (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.41/37.68 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) &
% 228.41/37.68 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 228.41/37.68 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5) | ~ $i(v4) |
% 228.41/37.68 ~ $i(v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v3) |
% 228.41/37.68 ? [v6: $i] : (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v2) =
% 228.41/37.68 v6 & $i(v6) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v3))))
% 228.41/37.68
% 228.41/37.68 (fact_real__inv__sqrt__pow2)
% 228.41/37.68 $i(c_NthRoot_Osqrt) & $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal)
% 228.41/37.68 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (c_Int_OBit0(v1) =
% 228.41/37.68 v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 228.41/37.68 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 &
% 228.41/37.68 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2) &
% 228.41/37.68 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v4)
% 228.41/37.68 = v5) | ~ $i(v4) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 228.41/37.68 v0, v4) | ? [v6: $i] : ? [v7: $i] :
% 228.41/37.68 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v6, v3) = v7 &
% 228.41/37.68 c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v5) = v6 &
% 228.41/37.68 c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v4) = v7 & $i(v7) &
% 228.41/37.68 $i(v6))))
% 228.41/37.68
% 228.41/37.68 (fact_real__less__half__sum)
% 228.41/37.68 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 228.41/37.68 $i] : (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.41/37.68 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) &
% 228.41/37.68 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 228.41/37.68 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5) | ~ $i(v4) |
% 228.41/37.68 ~ $i(v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v3) |
% 228.41/37.68 ? [v6: $i] : (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v2) =
% 228.41/37.68 v6 & $i(v6) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6))))
% 228.41/37.68
% 228.41/37.68 (fact_real__mult__1)
% 228.41/37.68 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 228.41/37.68 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0) = v1 &
% 228.41/37.68 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & ! [v2:
% 228.41/37.68 $i] : ! [v3: $i] : (v3 = v2 | ~ (hAPP(v1, v2) = v3) | ~ $i(v2)))
% 228.41/37.68
% 228.41/37.68 (fact_real__mult__inverse__cancel)
% 228.41/37.68 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.41/37.68 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 228.41/37.68 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 228.41/37.68 $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 228.41/37.68 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v4) = v5) | ~
% 228.41/37.68 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v3) = v8) | ~
% 228.41/37.68 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v8) = v9) | ~
% 228.41/37.68 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v5) = v6) | ~ (hAPP(v9,
% 228.41/37.68 v1) = v10) | ~ (hAPP(v6, v2) = v7) | ~ $i(v4) | ~ $i(v3) | ~
% 228.41/37.68 $i(v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 228.41/37.68 v0, v4) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) |
% 228.41/37.68 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v10) | ? [v11: $i] :
% 228.41/37.68 ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 228.41/37.68 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v4) = v13 &
% 228.41/37.68 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3) = v11 & hAPP(v13,
% 228.41/37.68 v1) = v14 & hAPP(v11, v2) = v12 & $i(v14) & $i(v13) & $i(v12) &
% 228.41/37.68 $i(v11) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12,
% 228.41/37.68 v14))))
% 228.41/37.68
% 228.41/37.68 (fact_real__mult__inverse__cancel2)
% 228.41/37.68 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.41/37.68 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 228.41/37.68 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 228.41/37.68 $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 228.41/37.68 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v4) = v6) | ~
% 228.41/37.68 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v3) = v9) | ~
% 228.41/37.68 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) = v5) | ~
% 228.41/37.68 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1) = v8) | ~ (hAPP(v8,
% 228.41/37.68 v9) = v10) | ~ (hAPP(v5, v6) = v7) | ~ $i(v4) | ~ $i(v3) | ~
% 228.41/37.68 $i(v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 228.41/37.68 v0, v4) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) |
% 228.41/37.68 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v10) | ? [v11: $i] :
% 228.41/37.68 ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 228.41/37.68 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v4) = v13 &
% 228.41/37.68 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3) = v11 & hAPP(v13,
% 228.41/37.68 v1) = v14 & hAPP(v11, v2) = v12 & $i(v14) & $i(v13) & $i(v12) &
% 228.41/37.68 $i(v11) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12,
% 228.41/37.68 v14))))
% 228.41/37.68
% 228.41/37.68 (fact_real__mult__inverse__left)
% 228.41/37.68 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 228.41/37.68 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 228.41/37.68 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 228.41/37.68 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v1 | v2 = v0 | ~
% 228.41/37.68 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v2) = v3) | ~
% 228.41/37.68 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3) = v4) | ~ (hAPP(v4,
% 228.41/37.68 v2) = v5) | ~ $i(v2)))
% 228.41/37.68
% 228.41/37.68 (fact_real__mult__le__cancel__iff1)
% 228.41/37.68 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.41/37.68 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 228.41/37.68 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 228.41/37.68 $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) = v4) | ~
% 228.41/37.68 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1) = v6) | ~ (hAPP(v6,
% 228.41/37.68 v3) = v7) | ~ (hAPP(v4, v3) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1)
% 228.41/37.68 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v7) | ~
% 228.41/37.68 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) |
% 228.41/37.68 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1)) & ! [v1: $i]
% 228.41/37.68 : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 228.41/37.68 [v7: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) = v4) |
% 228.41/37.68 ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1) = v6) | ~
% 228.41/37.68 (hAPP(v6, v3) = v7) | ~ (hAPP(v4, v3) = v5) | ~ $i(v3) | ~ $i(v2) | ~
% 228.41/37.68 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1) |
% 228.41/37.68 ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) |
% 228.41/37.68 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v7)))
% 228.41/37.68
% 228.41/37.68 (fact_real__mult__le__cancel__iff2)
% 228.41/37.68 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.41/37.68 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 228.41/37.68 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 228.41/37.68 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3) = v4) | ~ (hAPP(v4,
% 228.41/37.68 v2) = v5) | ~ (hAPP(v4, v1) = v6) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1)
% 228.41/37.68 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v6) | ~
% 228.41/37.68 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) |
% 228.41/37.68 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1)) & ! [v1: $i]
% 228.41/37.68 : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 228.41/37.68 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3) = v4) | ~ (hAPP(v4,
% 228.41/37.68 v2) = v5) | ~ (hAPP(v4, v1) = v6) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1)
% 228.41/37.68 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1) | ~
% 228.41/37.68 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) |
% 228.41/37.68 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v6)))
% 228.41/37.68
% 228.41/37.68 (fact_real__mult__left__cancel)
% 228.41/37.68 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.41/37.68 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 228.41/37.68 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v3 = v0 | v2 = v1 |
% 228.41/37.68 ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3) = v4) | ~
% 228.41/37.68 (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v5) | ~ $i(v3) | ~ $i(v2) | ~
% 228.41/37.68 $i(v1)))
% 228.41/37.68
% 228.41/37.68 (fact_real__mult__less__iff1)
% 228.41/37.69 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.41/37.69 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 228.41/37.69 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 228.41/37.69 $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) = v4) | ~
% 228.41/37.69 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1) = v6) | ~ (hAPP(v6,
% 228.41/37.69 v3) = v7) | ~ (hAPP(v4, v3) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1)
% 228.41/37.69 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v7) | ~
% 228.41/37.69 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) |
% 228.41/37.69 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v1)) & ! [v1: $i] :
% 228.41/37.69 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 228.41/37.69 $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) = v4) | ~
% 228.41/37.69 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1) = v6) | ~ (hAPP(v6,
% 228.41/37.69 v3) = v7) | ~ (hAPP(v4, v3) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1)
% 228.41/37.69 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v1) | ~
% 228.41/37.69 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) |
% 228.41/37.69 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v7)))
% 228.41/37.69
% 228.41/37.69 (fact_real__mult__less__mono2)
% 228.41/37.69 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.41/37.69 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 228.41/37.69 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 228.41/37.69 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3) = v4) | ~ (hAPP(v4,
% 228.41/37.69 v2) = v5) | ~ (hAPP(v4, v1) = v6) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1)
% 228.41/37.69 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v1) | ~
% 228.41/37.69 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) |
% 228.41/37.69 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v6)))
% 228.41/37.69
% 228.41/37.69 (fact_real__mult__order)
% 228.41/37.69 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.41/37.69 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 228.41/37.69 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 228.41/37.69 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) = v3) | ~ (hAPP(v3,
% 228.41/37.69 v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 228.41/37.69 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) | ~
% 228.41/37.69 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) |
% 228.41/37.69 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4)))
% 228.41/37.69
% 228.41/37.69 (fact_real__mult__right__cancel)
% 228.41/37.69 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.41/37.69 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 228.41/37.69 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v3 =
% 228.41/37.69 v0 | v2 = v1 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) =
% 228.41/37.69 v4) | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1) = v6) | ~
% 228.41/37.69 (hAPP(v6, v3) = v5) | ~ (hAPP(v4, v3) = v5) | ~ $i(v3) | ~ $i(v2) | ~
% 228.41/37.69 $i(v1)))
% 228.41/37.69
% 228.41/37.69 (fact_real__sgn__def)
% 228.71/37.69 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.71/37.69 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2 &
% 228.71/37.69 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 228.71/37.69 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v2) & $i(v1) &
% 228.71/37.69 $i(v0) & ! [v3: $i] : ! [v4: $i] : (v4 = v2 | v3 = v0 | ~
% 228.71/37.69 (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v3) = v4) | ~ $i(v3) |
% 228.71/37.69 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)) & ! [v3: $i] :
% 228.71/37.69 ! [v4: $i] : (v4 = v1 | v3 = v0 | ~
% 228.71/37.69 (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v3) = v4) | ~ $i(v3) | ~
% 228.71/37.69 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)) & ! [v3: $i] :
% 228.71/37.69 (v3 = v0 | ~ (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v0) = v3)))
% 228.71/37.69
% 228.71/37.69 (fact_real__sgn__pos)
% 228.71/37.69 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 228.71/37.69 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 228.71/37.69 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 228.71/37.69 [v2: $i] : ! [v3: $i] : (v3 = v1 | ~
% 228.71/37.69 (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v2) = v3) | ~ $i(v2) | ~
% 228.71/37.69 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2)))
% 228.71/37.69
% 228.71/37.69 (fact_real__sqrt__eq__0__iff)
% 228.71/37.69 $i(c_NthRoot_Osqrt) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.71/37.69 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 228.71/37.69 (v1 = v0 | ~ (hAPP(c_NthRoot_Osqrt, v1) = v0) | ~ $i(v1)) & ! [v1: $i] :
% 228.71/37.69 (v1 = v0 | ~ (hAPP(c_NthRoot_Osqrt, v0) = v1)))
% 228.71/37.69
% 228.71/37.69 (fact_real__sqrt__eq__1__iff)
% 228.71/37.69 $i(c_NthRoot_Osqrt) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.71/37.69 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : (v1
% 228.71/37.69 = v0 | ~ (hAPP(c_NthRoot_Osqrt, v1) = v0) | ~ $i(v1)) & ! [v1: $i] :
% 228.71/37.69 (v1 = v0 | ~ (hAPP(c_NthRoot_Osqrt, v0) = v1)))
% 228.71/37.69
% 228.71/37.69 (fact_real__sqrt__eq__zero__cancel)
% 228.71/37.69 $i(c_NthRoot_Osqrt) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.71/37.69 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 228.71/37.69 (v1 = v0 | ~ (hAPP(c_NthRoot_Osqrt, v1) = v0) | ~ $i(v1) | ~
% 228.71/37.69 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1)))
% 228.71/37.69
% 228.71/37.69 (fact_real__sqrt__ge__0__iff)
% 228.71/37.69 $i(c_NthRoot_Osqrt) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.71/37.69 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 228.71/37.69 ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1) = v2) | ~ $i(v1) | ~
% 228.71/37.69 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) |
% 228.71/37.69 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1)) & ! [v1: $i]
% 228.71/37.69 : ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1) = v2) | ~ $i(v1) | ~
% 228.71/37.69 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) |
% 228.71/37.69 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2)))
% 228.71/37.69
% 228.71/37.69 (fact_real__sqrt__ge__1__iff)
% 228.71/37.69 $i(c_NthRoot_Osqrt) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.71/37.69 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 228.71/37.69 [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1) = v2) | ~ $i(v1) | ~
% 228.71/37.69 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) |
% 228.71/37.69 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1)) & ! [v1: $i]
% 228.71/37.69 : ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1) = v2) | ~ $i(v1) | ~
% 228.71/37.69 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) |
% 228.71/37.69 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2)))
% 228.71/37.69
% 228.71/37.69 (fact_real__sqrt__ge__one)
% 228.71/37.69 $i(c_NthRoot_Osqrt) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.71/37.69 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 228.71/37.69 [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1) = v2) | ~ $i(v1) | ~
% 228.71/37.69 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) |
% 228.71/37.69 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2)))
% 228.71/37.69
% 228.71/37.69 (fact_real__sqrt__ge__zero)
% 228.71/37.69 $i(c_NthRoot_Osqrt) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.71/37.69 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 228.71/37.69 ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1) = v2) | ~ $i(v1) | ~
% 228.71/37.69 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) |
% 228.71/37.69 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2)))
% 228.71/37.69
% 228.71/37.69 (fact_real__sqrt__gt__0__iff)
% 228.71/37.69 $i(c_NthRoot_Osqrt) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.71/37.69 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 228.71/37.69 ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1) = v2) | ~ $i(v1) | ~
% 228.71/37.69 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 228.71/37.69 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1)) & ! [v1: $i] :
% 228.71/37.69 ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1) = v2) | ~ $i(v1) | ~
% 228.71/37.69 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) |
% 228.71/37.69 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2)))
% 228.71/37.69
% 228.71/37.69 (fact_real__sqrt__gt__1__iff)
% 228.71/37.69 $i(c_NthRoot_Osqrt) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.71/37.69 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 228.71/37.69 [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1) = v2) | ~ $i(v1) | ~
% 228.71/37.69 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 228.71/37.69 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1)) & ! [v1: $i] :
% 228.71/37.69 ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1) = v2) | ~ $i(v1) | ~
% 228.71/37.69 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) |
% 228.71/37.69 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2)))
% 228.71/37.69
% 228.71/37.69 (fact_real__sqrt__gt__zero)
% 228.71/37.69 $i(c_NthRoot_Osqrt) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.71/37.69 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 228.71/37.69 ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1) = v2) | ~ $i(v1) | ~
% 228.71/37.69 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) |
% 228.71/37.69 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2)))
% 228.71/37.69
% 228.71/37.69 (fact_real__sqrt__le__0__iff)
% 228.71/37.69 $i(c_NthRoot_Osqrt) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.71/37.69 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 228.71/37.69 ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1) = v2) | ~ $i(v1) | ~
% 228.71/37.69 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) |
% 228.71/37.69 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0)) & ! [v1: $i]
% 228.71/37.69 : ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1) = v2) | ~ $i(v1) | ~
% 228.71/37.69 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) |
% 228.71/37.69 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0)))
% 228.71/37.69
% 228.71/37.69 (fact_real__sqrt__le__1__iff)
% 228.71/37.70 $i(c_NthRoot_Osqrt) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.71/37.70 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 228.71/37.70 [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1) = v2) | ~ $i(v1) | ~
% 228.71/37.70 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) |
% 228.71/37.70 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0)) & ! [v1: $i]
% 228.71/37.70 : ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1) = v2) | ~ $i(v1) | ~
% 228.71/37.70 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) |
% 228.71/37.70 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0)))
% 228.71/37.70
% 228.71/37.70 (fact_real__sqrt__lt__0__iff)
% 228.71/37.70 $i(c_NthRoot_Osqrt) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.71/37.70 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 228.71/37.70 ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1) = v2) | ~ $i(v1) | ~
% 228.71/37.70 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v0) |
% 228.71/37.70 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0)) & ! [v1: $i] :
% 228.71/37.70 ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1) = v2) | ~ $i(v1) | ~
% 228.71/37.70 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) |
% 228.71/37.70 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v0)))
% 228.71/37.70
% 228.71/37.70 (fact_real__sqrt__lt__1__iff)
% 228.71/37.70 $i(c_NthRoot_Osqrt) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.71/37.70 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 228.71/37.70 [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1) = v2) | ~ $i(v1) | ~
% 228.71/37.70 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v0) |
% 228.71/37.70 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0)) & ! [v1: $i] :
% 228.71/37.70 ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1) = v2) | ~ $i(v1) | ~
% 228.71/37.70 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) |
% 228.71/37.70 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v0)))
% 228.71/37.70
% 228.71/37.70 (fact_real__sqrt__mult__self__sum__ge__zero)
% 228.71/37.70 $i(c_NthRoot_Osqrt) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.71/37.70 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 228.71/37.70 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 228.71/37.70 $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v6) = v7) |
% 228.71/37.70 ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) = v3) | ~
% 228.71/37.70 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1) = v5) | ~ (hAPP(v5,
% 228.71/37.70 v1) = v6) | ~ (hAPP(v3, v2) = v4) | ~ $i(v2) | ~ $i(v1) | ? [v8:
% 228.71/37.70 $i] : (hAPP(c_NthRoot_Osqrt, v7) = v8 & $i(v8) &
% 228.71/37.70 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v8))))
% 228.71/37.70
% 228.71/37.70 (fact_real__sqrt__not__eq__zero)
% 228.71/37.70 $i(c_NthRoot_Osqrt) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.71/37.70 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : (
% 228.71/37.70 ~ (hAPP(c_NthRoot_Osqrt, v1) = v0) | ~ $i(v1) | ~
% 228.71/37.70 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1)))
% 228.71/37.70
% 228.71/37.70 (fact_real__sqrt__one)
% 228.71/37.70 $i(c_NthRoot_Osqrt) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.71/37.70 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & hAPP(c_NthRoot_Osqrt, v0)
% 228.71/37.70 = v0 & $i(v0))
% 228.71/37.70
% 228.71/37.70 (fact_real__sqrt__pow2)
% 228.71/37.70 $i(c_NthRoot_Osqrt) & $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal)
% 228.71/37.70 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (c_Int_OBit0(v1) =
% 228.71/37.70 v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 228.71/37.70 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 &
% 228.71/37.70 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2) &
% 228.71/37.70 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v4)
% 228.71/37.70 = v5) | ~ $i(v4) | ~
% 228.71/37.70 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v4) |
% 228.71/37.70 c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v3) = v4))
% 228.71/37.70
% 228.71/37.70 (fact_real__sqrt__pow2__gt__zero)
% 228.71/37.70 $i(c_NthRoot_Osqrt) & $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal)
% 228.71/37.70 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (c_Int_OBit0(v1) =
% 228.71/37.70 v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 228.71/37.70 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 &
% 228.71/37.70 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2) &
% 228.71/37.70 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v4)
% 228.71/37.70 = v5) | ~ $i(v4) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 228.71/37.70 v0, v4) | ? [v6: $i] : (c_Power_Opower__class_Opower(tc_RealDef_Oreal,
% 228.71/37.70 v5, v3) = v6 & $i(v6) &
% 228.71/37.70 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v6))))
% 228.71/37.70
% 228.71/37.70 (fact_real__sqrt__pow2__iff)
% 228.71/37.70 $i(c_NthRoot_Osqrt) & $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal)
% 228.71/37.70 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (c_Int_OBit0(v0) =
% 228.71/37.70 v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.71/37.70 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 228.71/37.70 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v3 & $i(v3) & $i(v2) &
% 228.71/37.70 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v4)
% 228.71/37.70 = v5) | ~ $i(v4) | ~
% 228.71/37.70 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v4) |
% 228.71/37.70 c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) = v4) & ! [v4: $i]
% 228.71/37.70 : ! [v5: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v4) = v5) | ~ $i(v4) |
% 228.71/37.70 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v4) | ? [v6: $i]
% 228.71/37.70 : ( ~ (v6 = v4) & c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) =
% 228.71/37.70 v6 & $i(v6))))
% 228.71/37.70
% 228.71/37.70 (fact_real__sqrt__sum__squares__eq__cancel)
% 228.71/37.70 $i(c_NthRoot_Osqrt) & $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal)
% 228.71/37.70 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (c_Int_OBit0(v0) =
% 228.71/37.70 v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.71/37.70 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 228.71/37.70 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v3 & $i(v3) & $i(v2) &
% 228.71/37.70 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 228.71/37.70 [v8: $i] : (v4 = v3 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5,
% 228.71/37.70 v2) = v6) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2)
% 228.71/37.70 = v7) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v7) = v8)
% 228.71/37.70 | ~ $i(v5) | ~ $i(v4) | ? [v9: $i] : ( ~ (v9 = v5) &
% 228.71/37.70 hAPP(c_NthRoot_Osqrt, v8) = v9 & $i(v9))))
% 228.71/37.70
% 228.71/37.70 (fact_real__sqrt__sum__squares__eq__cancel2)
% 228.71/37.70 $i(c_NthRoot_Osqrt) & $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal)
% 228.71/37.70 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (c_Int_OBit0(v0) =
% 228.71/37.70 v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.71/37.70 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 228.71/37.70 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v3 & $i(v3) & $i(v2) &
% 228.71/37.70 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 228.71/37.70 [v8: $i] : (v5 = v3 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5,
% 228.71/37.70 v2) = v6) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2)
% 228.71/37.70 = v7) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v7) = v8)
% 228.71/37.70 | ~ $i(v5) | ~ $i(v4) | ? [v9: $i] : ( ~ (v9 = v4) &
% 228.71/37.70 hAPP(c_NthRoot_Osqrt, v8) = v9 & $i(v9))))
% 228.71/37.70
% 228.71/37.70 (fact_real__sqrt__sum__squares__ge1)
% 228.71/37.70 $i(c_NthRoot_Osqrt) & $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal)
% 228.71/37.70 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 228.71/37.70 c_Int_OBit1(c_Int_OPls) = v0 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 228.71/37.70 v1) = v2 & $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5:
% 228.71/37.70 $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 228.71/37.70 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v5) | ~
% 228.71/37.70 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, v2) = v6) | ~
% 228.71/37.70 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v6) = v7) | ~ $i(v4) |
% 228.71/37.70 ~ $i(v3) | ? [v8: $i] : (hAPP(c_NthRoot_Osqrt, v7) = v8 & $i(v8) &
% 228.71/37.70 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v8))))
% 228.71/37.70
% 228.71/37.70 (fact_real__sqrt__sum__squares__ge2)
% 228.71/37.70 $i(c_NthRoot_Osqrt) & $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal)
% 228.71/37.70 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 228.71/37.70 c_Int_OBit1(c_Int_OPls) = v0 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 228.71/37.70 v1) = v2 & $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5:
% 228.71/37.70 $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 228.71/37.70 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v6) | ~
% 228.71/37.70 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, v2) = v5) | ~
% 228.71/37.70 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v6) = v7) | ~ $i(v4) |
% 228.71/37.70 ~ $i(v3) | ? [v8: $i] : (hAPP(c_NthRoot_Osqrt, v7) = v8 & $i(v8) &
% 228.71/37.70 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v8))))
% 228.71/37.70
% 228.71/37.70 (fact_real__sqrt__sum__squares__ge__zero)
% 228.71/37.70 $i(c_NthRoot_Osqrt) & $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal)
% 228.71/37.70 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (c_Int_OBit0(v1) =
% 228.71/37.70 v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 228.71/37.70 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 &
% 228.71/37.70 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2) &
% 228.71/37.70 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 228.71/37.70 [v8: $i] : ( ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v3) = v6)
% 228.71/37.70 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v3) = v7) | ~
% 228.71/37.70 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v7) = v8) | ~ $i(v5) |
% 228.71/37.70 ~ $i(v4) | ? [v9: $i] : (hAPP(c_NthRoot_Osqrt, v8) = v9 & $i(v9) &
% 228.71/37.70 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v9))))
% 228.71/37.70
% 228.71/37.70 (fact_real__sqrt__sum__squares__less)
% 228.71/37.70 $i(c_NthRoot_Osqrt) & $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal)
% 228.71/37.70 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 228.71/37.70 (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.71/37.70 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v4 &
% 228.71/37.70 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 228.71/37.70 hAPP(c_NthRoot_Osqrt, v2) = v3 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)
% 228.71/37.70 & ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : !
% 228.71/37.70 [v10: $i] : ! [v11: $i] : ( ~
% 228.71/37.70 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v7, v4) = v9) | ~
% 228.71/37.70 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v4) = v10) | ~
% 228.71/37.70 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v9, v10) = v11) | ~
% 228.71/37.70 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v3) = v8) | ~
% 228.71/37.70 $i(v7) | ~ $i(v6) | ~ $i(v5) | ? [v12: $i] : ? [v13: $i] : ? [v14:
% 228.71/37.70 $i] : ((c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v7) = v12 & $i(v12)
% 228.71/37.70 & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v8)) |
% 228.71/37.70 (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v13 & $i(v13) & ~
% 228.71/37.70 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v8)) |
% 228.71/37.70 (hAPP(c_NthRoot_Osqrt, v11) = v14 & $i(v14) &
% 228.71/37.70 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v14, v6)))))
% 228.71/37.70
% 228.71/37.70 (fact_real__sqrt__sum__squares__mult__ge__zero)
% 228.71/37.70 $i(c_NthRoot_Osqrt) & $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal)
% 228.71/37.70 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (c_Int_OBit0(v1) =
% 228.71/37.70 v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 228.71/37.70 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 &
% 228.71/37.70 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2) &
% 228.71/37.70 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 228.71/37.70 [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : !
% 228.71/37.70 [v13: $i] : ! [v14: $i] : ! [v15: $i] : ( ~
% 228.71/37.70 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v7, v3) = v8) | ~
% 228.71/37.70 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v6, v3) = v9) | ~
% 228.71/37.70 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v3) = v12) | ~
% 228.71/37.70 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v3) = v13) | ~
% 228.71/37.70 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v12, v13) = v14) | ~
% 228.71/37.70 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v8, v9) = v10) | ~
% 228.71/37.70 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v10) = v11) | ~
% 228.71/37.70 (hAPP(v11, v14) = v15) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) |
% 228.71/37.70 ? [v16: $i] : (hAPP(c_NthRoot_Osqrt, v15) = v16 & $i(v16) &
% 228.71/37.70 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v16))))
% 228.71/37.70
% 228.71/37.70 (fact_real__sqrt__sum__squares__mult__squared__eq)
% 228.71/37.70 $i(c_NthRoot_Osqrt) & $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal)
% 228.71/37.70 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 228.71/37.70 c_Int_OBit1(c_Int_OPls) = v0 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 228.71/37.70 v1) = v2 & $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5:
% 228.71/37.70 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i]
% 228.71/37.70 : ! [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ( ~
% 228.71/37.70 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v6, v2) = v7) | ~
% 228.71/37.70 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) = v8) | ~
% 228.71/37.70 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v11) | ~
% 228.71/37.70 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, v2) = v12) | ~
% 228.71/37.70 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v11, v12) = v13) | ~
% 228.71/37.70 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v7, v8) = v9) | ~
% 228.71/37.70 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v9) = v10) | ~
% 228.71/37.70 (hAPP(v10, v13) = v14) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) |
% 228.71/37.70 ? [v15: $i] : (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v15, v2) =
% 228.71/37.70 v14 & hAPP(c_NthRoot_Osqrt, v14) = v15 & $i(v15) & $i(v14))))
% 228.71/37.70
% 228.71/37.70 (fact_real__sqrt__sum__squares__triangle__ineq)
% 228.71/37.70 $i(c_NthRoot_Osqrt) & $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal)
% 228.71/37.70 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 228.71/37.70 c_Int_OBit1(c_Int_OPls) = v0 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 228.71/37.70 v1) = v2 & $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5:
% 228.71/37.70 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i]
% 228.71/37.70 : ! [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] :
% 228.71/37.70 ( ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v6, v2) = v7) | ~
% 228.71/37.70 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) = v11) | ~
% 228.71/37.70 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v8) | ~
% 228.71/37.70 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, v2) = v12) | ~
% 228.71/37.70 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v11, v12) = v13) | ~
% 228.71/37.70 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v10, v14) = v15) | ~
% 228.71/37.70 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v7, v8) = v9) | ~
% 228.71/37.70 (hAPP(c_NthRoot_Osqrt, v13) = v14) | ~ (hAPP(c_NthRoot_Osqrt, v9) = v10)
% 228.71/37.70 | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ? [v16: $i] : ? [v17:
% 228.71/37.70 $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] :
% 228.71/37.70 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v18, v2) = v19 &
% 228.71/37.70 c_Power_Opower__class_Opower(tc_RealDef_Oreal, v16, v2) = v17 &
% 228.71/37.70 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v17, v19) = v20 &
% 228.71/37.70 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v5) = v16 &
% 228.71/37.70 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v18 &
% 228.71/37.70 hAPP(c_NthRoot_Osqrt, v20) = v21 & $i(v21) & $i(v20) & $i(v19) & $i(v18)
% 228.71/37.70 & $i(v17) & $i(v16) &
% 228.71/37.70 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v21, v15))))
% 228.71/37.70
% 228.71/37.70 (fact_real__sqrt__two__ge__zero)
% 228.71/37.70 $i(c_NthRoot_Osqrt) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 228.71/37.70 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (c_Int_OBit0(v1) = v2 &
% 228.71/37.70 c_Int_OBit1(c_Int_OPls) = v1 &
% 228.71/37.70 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 228.71/37.70 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & hAPP(c_NthRoot_Osqrt,
% 228.71/37.70 v3) = v4 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 228.71/37.70 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v4))
% 228.71/37.70
% 228.71/37.70 (fact_real__sqrt__two__gt__one)
% 228.71/37.70 $i(c_NthRoot_Osqrt) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 228.71/37.70 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (c_Int_OBit0(v1) = v2 &
% 228.71/37.70 c_Int_OBit1(c_Int_OPls) = v1 &
% 228.71/37.70 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 228.71/37.70 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & hAPP(c_NthRoot_Osqrt, v3)
% 228.71/37.70 = v4 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 228.71/37.70 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4))
% 228.71/37.70
% 228.71/37.70 (fact_real__sqrt__two__gt__zero)
% 228.71/37.70 $i(c_NthRoot_Osqrt) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 228.71/37.70 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (c_Int_OBit0(v1) = v2 &
% 228.71/37.70 c_Int_OBit1(c_Int_OPls) = v1 &
% 228.71/37.70 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 228.71/37.70 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & hAPP(c_NthRoot_Osqrt,
% 228.71/37.71 v3) = v4 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 228.71/37.71 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4))
% 228.71/37.71
% 228.71/37.71 (fact_real__sqrt__unique)
% 228.71/37.71 $i(c_NthRoot_Osqrt) & $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal)
% 228.71/37.71 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (c_Int_OBit0(v0) =
% 228.71/37.71 v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.71/37.71 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 228.71/37.71 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v3 & $i(v3) & $i(v2) &
% 228.71/37.71 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v6 = v5 | ~
% 228.71/37.71 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) = v4) | ~
% 228.71/37.71 (hAPP(c_NthRoot_Osqrt, v4) = v6) | ~ $i(v5) | ~ $i(v4) | ~
% 228.71/37.71 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v5)))
% 228.71/37.71
% 228.71/37.71 (fact_real__sqrt__zero)
% 228.71/37.71 $i(c_NthRoot_Osqrt) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.71/37.71 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & hAPP(c_NthRoot_Osqrt,
% 228.71/37.71 v0) = v0 & $i(v0))
% 228.71/37.71
% 228.71/37.71 (fact_real__sum__of__halves)
% 228.71/37.71 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 228.71/37.71 $i] : (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.71/37.71 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) &
% 228.71/37.71 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v3 | ~
% 228.71/37.71 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v4) = v5) | ~
% 228.71/37.71 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v3, v2) = v4) | ~
% 228.71/37.71 $i(v3)))
% 228.71/37.71
% 228.71/37.71 (fact_real__sum__squared__expand)
% 228.71/37.71 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 228.71/37.71 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (c_Int_OBit0(v0) = v1 &
% 228.71/37.71 c_Int_OBit1(c_Int_OPls) = v0 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 228.71/37.71 v1) = v2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v3 &
% 228.71/37.71 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3) = v4 & $i(v4) & $i(v3) &
% 228.71/37.71 $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8:
% 228.71/37.71 $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : ! [v13:
% 228.71/37.71 $i] : ( ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v6, v2) = v7) |
% 228.71/37.71 ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) = v8) | ~
% 228.71/37.71 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v9, v12) = v13) | ~
% 228.71/37.71 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v7, v8) = v9) | ~
% 228.71/37.71 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v10) = v11) | ~
% 228.71/37.71 (hAPP(v11, v5) = v12) | ~ (hAPP(v4, v6) = v10) | ~ $i(v6) | ~ $i(v5) |
% 228.71/37.71 ? [v14: $i] : (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v14, v2) =
% 228.71/37.71 v13 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v5) = v14 &
% 228.71/37.71 $i(v14) & $i(v13))))
% 228.71/37.71
% 228.71/37.71 (fact_real__two__squares__add__zero__iff)
% 228.71/37.71 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.71/37.71 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 228.71/37.71 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v2 =
% 228.71/37.71 v0 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v6) = v0) | ~
% 228.71/37.71 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) = v3) | ~
% 228.71/37.71 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1) = v5) | ~ (hAPP(v5,
% 228.71/37.71 v1) = v6) | ~ (hAPP(v3, v2) = v4) | ~ $i(v2) | ~ $i(v1)) & ! [v1:
% 228.71/37.71 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i]
% 228.71/37.71 : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v6) = v0)
% 228.71/37.71 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) = v3) | ~
% 228.71/37.71 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1) = v5) | ~ (hAPP(v5,
% 228.71/37.71 v1) = v6) | ~ (hAPP(v3, v2) = v4) | ~ $i(v2) | ~ $i(v1)) & ! [v1:
% 228.71/37.71 $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 228.71/37.71 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v2) = v3) | ~
% 228.71/37.71 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0) = v1) | ~ (hAPP(v1,
% 228.71/37.71 v0) = v2)))
% 228.71/37.71
% 228.71/37.71 (fact_real__zero__not__eq__one)
% 228.71/37.71 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 228.71/37.71 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 228.71/37.71 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0))
% 228.71/37.71
% 228.71/37.71 (fact_realpow__square__minus__le)
% 228.71/37.71 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 228.71/37.71 [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0
% 228.71/37.71 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 228.71/37.71 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 228.71/37.71 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v5) | ~
% 228.71/37.71 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, v2) = v6) | ~ $i(v4)
% 228.71/37.71 | ~ $i(v3) | ? [v7: $i] :
% 228.71/37.71 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v5) = v7 & $i(v7) &
% 228.71/37.71 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7, v6))))
% 228.71/37.71
% 228.71/37.71 (fact_realpow__two__sum__zero__iff)
% 228.71/37.71 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 228.71/37.71 [v1: $i] : ? [v2: $i] : ? [v3: $i] : (c_Int_OBit0(v0) = v1 &
% 228.71/37.71 c_Int_OBit1(c_Int_OPls) = v0 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 228.71/37.71 v1) = v2 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v3 & $i(v3) &
% 228.71/37.71 $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 228.71/37.71 $i] : (v5 = v3 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5,
% 228.71/37.71 v2) = v6) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2)
% 228.71/37.71 = v7) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v7) = v3)
% 228.71/37.71 | ~ $i(v5) | ~ $i(v4)) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 228.71/37.71 [v7: $i] : (v4 = v3 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5,
% 228.71/37.71 v2) = v6) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2)
% 228.71/37.71 = v7) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v7) = v3)
% 228.71/37.71 | ~ $i(v5) | ~ $i(v4)) & ! [v4: $i] : ! [v5: $i] : (v5 = v3 | ~
% 228.71/37.71 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, v2) = v4) | ~
% 228.71/37.71 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v4) = v5)))
% 228.71/37.71
% 228.71/37.71 (fact_ring__1__class_Opower__minus__even)
% 228.71/37.71 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.71/37.71 ? [v3: $i] : (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.71/37.71 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 228.71/37.71 c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3 & $i(v3) & $i(v2) &
% 228.71/37.71 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 228.71/37.71 [v8: $i] : ! [v9: $i] : ( ~ (c_Power_Opower__class_Opower(v6, v7, v8) = v9)
% 228.71/37.71 | ~ (c_Groups_Ouminus__class_Ouminus(v6, v5) = v7) | ~ (hAPP(v3, v4) =
% 228.71/37.71 v8) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ class_Rings_Oring__1(v6) |
% 228.71/37.71 (c_Power_Opower__class_Opower(v6, v5, v8) = v9 & $i(v9))))
% 228.71/37.71
% 228.71/37.71 (fact_self__quotient__aux1)
% 228.71/37.71 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 228.71/37.71 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 &
% 228.71/37.71 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0) & ! [v2:
% 228.71/37.71 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 228.71/37.71 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v6) = v4) | ~
% 228.71/37.71 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v4) = v5) | ~ (hAPP(v5, v2) =
% 228.71/37.71 v6) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 228.71/37.71 c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v4) | ~
% 228.71/37.71 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v4) |
% 228.71/37.71 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v2)))
% 228.71/37.71
% 228.71/37.71 (fact_self__quotient__aux2)
% 228.71/37.71 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 228.71/37.71 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 &
% 228.71/37.71 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0) & ! [v2:
% 228.71/37.71 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 228.71/37.71 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v6) = v4) | ~
% 228.71/37.71 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v4) = v5) | ~ (hAPP(v5, v2) =
% 228.71/37.71 v6) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 228.71/37.71 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3) | ~
% 228.71/37.71 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v4) |
% 228.71/37.71 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1)))
% 228.71/37.71
% 228.71/37.71 (fact_semiring__norm_I110_J)
% 228.71/37.71 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & !
% 228.71/37.71 [v1: $i] : ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2)
% 228.71/37.71 | ~ $i(v1) | ~ class_Int_Onumber__ring(v1) |
% 228.71/37.71 (c_Groups_Oone__class_Oone(v1) = v2 & $i(v2))))
% 228.71/37.71
% 228.71/37.71 (fact_semiring__norm_I113_J)
% 228.71/37.71 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] :
% 228.71/37.71 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = v0 &
% 228.71/37.71 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0))
% 228.71/37.71
% 228.71/37.71 (fact_sgn__real__def)
% 228.71/37.71 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.71/37.71 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2 &
% 228.71/37.71 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 228.71/37.71 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v2) & $i(v1) &
% 228.71/37.71 $i(v0) & ! [v3: $i] : ! [v4: $i] : (v4 = v2 | v3 = v0 | ~
% 228.71/37.71 (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v3) = v4) | ~ $i(v3) |
% 228.71/37.71 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)) & ! [v3: $i] :
% 228.71/37.71 ! [v4: $i] : (v4 = v1 | v3 = v0 | ~
% 228.71/37.71 (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v3) = v4) | ~ $i(v3) | ~
% 228.71/37.71 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)) & ! [v3: $i] :
% 228.71/37.71 (v3 = v0 | ~ (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v0) = v3)))
% 228.71/37.71
% 228.71/37.71 (fact_split__mult__neg__le)
% 228.71/37.71 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 228.71/37.71 (c_Groups_Otimes__class_Otimes(v2, v1) = v3) | ~ (hAPP(v3, v0) = v4) | ~
% 228.71/37.71 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 228.71/37.71 class_Rings_Oordered__cancel__semiring(v2) | ? [v5: $i] :
% 228.71/37.71 (c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v5) &
% 228.71/37.71 (c_Orderings_Oord__class_Oless__eq(v2, v4, v5) | (( ~
% 228.71/37.71 c_Orderings_Oord__class_Oless__eq(v2, v5, v1) | ~
% 228.71/37.71 c_Orderings_Oord__class_Oless__eq(v2, v0, v5)) & ( ~
% 228.71/37.71 c_Orderings_Oord__class_Oless__eq(v2, v5, v0) | ~
% 228.71/37.71 c_Orderings_Oord__class_Oless__eq(v2, v1, v5))))))
% 228.71/37.71
% 228.71/37.71 (fact_split__mult__pos__le)
% 228.71/37.71 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 228.71/37.71 (c_Groups_Otimes__class_Otimes(v2, v1) = v3) | ~ (hAPP(v3, v0) = v4) | ~
% 228.71/37.71 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ class_Rings_Oordered__ring(v2) | ? [v5:
% 228.71/37.71 $i] : (c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v5) &
% 228.71/37.71 (c_Orderings_Oord__class_Oless__eq(v2, v5, v4) | (( ~
% 228.71/37.71 c_Orderings_Oord__class_Oless__eq(v2, v5, v1) | ~
% 228.71/37.71 c_Orderings_Oord__class_Oless__eq(v2, v5, v0)) & ( ~
% 228.71/37.71 c_Orderings_Oord__class_Oless__eq(v2, v1, v5) | ~
% 228.71/37.71 c_Orderings_Oord__class_Oless__eq(v2, v0, v5))))))
% 228.71/37.71
% 228.71/37.71 (fact_sqrt__divide__self__eq)
% 228.71/37.71 $i(c_NthRoot_Osqrt) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 228.71/37.71 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 228.71/37.71 ! [v2: $i] : ! [v3: $i] : ( ~
% 228.71/37.71 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 228.71/37.71 (hAPP(c_NthRoot_Osqrt, v1) = v2) | ~ $i(v1) | ~
% 228.71/37.71 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) |
% 228.71/37.71 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v2) = v3 & $i(v3))))
% 228.71/37.71
% 228.71/37.71 (fact_succ__Pls)
% 228.71/37.71 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 228.71/37.71 c_Int_Osucc(c_Int_OPls) = v0 & $i(v0))
% 228.71/37.71
% 228.71/37.71 (fact_sum__power2__eq__zero__iff)
% 228.71/37.71 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.71/37.71 (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.71/37.71 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 228.71/37.71 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 228.71/37.71 : ! [v8: $i] : ( ~ (c_Power_Opower__class_Opower(v5, v4, v2) = v6) | ~
% 228.71/37.71 (c_Power_Opower__class_Opower(v5, v3, v2) = v7) | ~
% 228.71/37.71 (c_Groups_Oplus__class_Oplus(v5, v6, v7) = v8) | ~ $i(v5) | ~ $i(v4) |
% 228.71/37.71 ~ $i(v3) | ~ class_Rings_Olinordered__idom(v5) | ? [v9: $i] :
% 228.71/37.71 (c_Groups_Ozero__class_Ozero(v5) = v9 & $i(v9) & ( ~ (v9 = v8) | (v8 = v3
% 228.71/37.71 & v4 = v3)) & ( ~ (v9 = v3) | ~ (v4 = v3) | v8 = v3))))
% 228.71/37.71
% 228.71/37.71 (fact_sum__power2__ge__zero)
% 228.71/37.71 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.71/37.71 (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.71/37.71 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 228.71/37.71 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 228.71/37.71 : ! [v8: $i] : ( ~ (c_Power_Opower__class_Opower(v5, v4, v2) = v6) | ~
% 228.71/37.71 (c_Power_Opower__class_Opower(v5, v3, v2) = v7) | ~
% 228.71/37.71 (c_Groups_Oplus__class_Oplus(v5, v6, v7) = v8) | ~ $i(v5) | ~ $i(v4) |
% 228.71/37.71 ~ $i(v3) | ~ class_Rings_Olinordered__idom(v5) | ? [v9: $i] :
% 228.71/37.71 (c_Groups_Ozero__class_Ozero(v5) = v9 & $i(v9) &
% 228.71/37.71 c_Orderings_Oord__class_Oless__eq(v5, v9, v8))))
% 228.71/37.71
% 228.71/37.71 (fact_sum__power2__gt__zero__iff)
% 228.71/37.71 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.71/37.71 (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.71/37.71 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 228.71/37.71 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 228.71/37.71 : ! [v8: $i] : ( ~ (c_Power_Opower__class_Opower(v5, v4, v2) = v6) | ~
% 228.71/37.71 (c_Power_Opower__class_Opower(v5, v3, v2) = v7) | ~
% 228.71/37.71 (c_Groups_Oplus__class_Oplus(v5, v6, v7) = v8) | ~ $i(v5) | ~ $i(v4) |
% 228.71/37.71 ~ $i(v3) | ~ class_Rings_Olinordered__idom(v5) | ? [v9: $i] :
% 228.71/37.71 (c_Groups_Ozero__class_Ozero(v5) = v9 & $i(v9) & ( ~ (v9 = v3) | ~ (v4 =
% 228.71/37.71 v3) | ~ c_Orderings_Oord__class_Oless(v5, v3, v8)) &
% 228.71/37.71 (c_Orderings_Oord__class_Oless(v5, v9, v8) | (v9 = v3 & v4 = v3)))))
% 228.71/37.71
% 228.71/37.71 (fact_sum__power2__le__zero__iff)
% 228.71/37.71 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.71/37.71 (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.71/37.71 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 228.71/37.71 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 228.71/37.71 : ! [v8: $i] : ( ~ (c_Power_Opower__class_Opower(v5, v4, v2) = v6) | ~
% 228.71/37.71 (c_Power_Opower__class_Opower(v5, v3, v2) = v7) | ~
% 228.71/37.71 (c_Groups_Oplus__class_Oplus(v5, v6, v7) = v8) | ~ $i(v5) | ~ $i(v4) |
% 228.71/37.71 ~ $i(v3) | ~ class_Rings_Olinordered__idom(v5) | ? [v9: $i] :
% 228.71/37.71 (c_Groups_Ozero__class_Ozero(v5) = v9 & $i(v9) & ( ~ (v9 = v3) | ~ (v4 =
% 228.71/37.71 v3) | c_Orderings_Oord__class_Oless__eq(v5, v8, v3)) & ( ~
% 228.71/37.71 c_Orderings_Oord__class_Oless__eq(v5, v8, v9) | (v9 = v3 & v4 =
% 228.71/37.71 v3)))))
% 228.71/37.71
% 228.71/37.71 (fact_two__realpow__ge__one)
% 228.71/37.71 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 228.71/37.71 $i] : ? [v3: $i] : (c_Int_OBit0(v1) = v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 228.71/37.71 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 228.71/37.71 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2) & $i(v1)
% 228.71/37.71 & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~
% 228.71/37.71 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, v4) = v5) | ~ $i(v4)
% 228.71/37.71 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v5)))
% 228.71/37.71
% 228.71/37.71 (fact_unique__quotient__lemma)
% 228.71/37.71 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 228.71/37.71 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 228.71/37.71 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i]
% 228.71/37.71 : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v9, v1) = v10) | ~
% 228.71/37.71 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v3) = v8) | ~
% 228.71/37.71 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v5) = v6) | ~ (hAPP(v6, v4) =
% 228.71/37.71 v7) | ~ (hAPP(v6, v2) = v9) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~
% 228.71/37.71 $i(v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v8,
% 228.71/37.71 v10) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3) | ~
% 228.71/37.71 c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v5) | ~
% 228.71/37.71 c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v5) |
% 228.71/37.71 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v4, v2)))
% 228.71/37.71
% 228.71/37.71 (fact_unique__quotient__lemma__neg)
% 228.71/37.72 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 228.71/37.72 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 228.71/37.72 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i]
% 228.71/37.72 : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v9, v1) = v10) | ~
% 228.71/37.72 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v3) = v8) | ~
% 228.71/37.72 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v5) = v6) | ~ (hAPP(v6, v4) =
% 228.71/37.72 v7) | ~ (hAPP(v6, v2) = v9) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~
% 228.71/37.72 $i(v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v8,
% 228.71/37.72 v10) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | ~
% 228.71/37.72 c_Orderings_Oord__class_Oless(tc_Int_Oint, v5, v3) | ~
% 228.71/37.72 c_Orderings_Oord__class_Oless(tc_Int_Oint, v5, v1) |
% 228.71/37.72 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v4)))
% 228.71/37.72
% 228.71/37.72 (fact_zadd__0)
% 228.71/37.72 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 228.71/37.72 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 228.71/37.72 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v2) | ~ $i(v1)))
% 228.71/37.72
% 228.71/37.72 (fact_zadd__0__right)
% 228.71/37.72 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 228.71/37.72 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 228.71/37.72 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ $i(v1)))
% 228.71/37.72
% 228.71/37.72 (fact_zadd__zminus__inverse2)
% 228.71/37.72 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 228.71/37.72 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 228.71/37.72 (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2) | ~
% 228.71/37.72 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v3) | ~ $i(v1)))
% 228.71/37.72
% 228.71/37.72 (fact_zdiv__mono2__lemma)
% 228.71/37.72 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 228.71/37.72 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 228.71/37.72 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i]
% 228.71/37.72 : ! [v11: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v11, v1) =
% 228.71/37.72 v9) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v8, v4) = v9) | ~
% 228.71/37.72 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v6) = v7) | ~
% 228.71/37.72 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v3) = v10) | ~ (hAPP(v10, v2)
% 228.71/37.72 = v11) | ~ (hAPP(v7, v5) = v8) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~
% 228.71/37.72 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 228.71/37.72 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v6) | ~
% 228.71/37.72 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v9) | ~
% 228.71/37.72 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v4) | ~
% 228.71/37.72 c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v3) | ~
% 228.71/37.72 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) |
% 228.71/37.72 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v5, v2)))
% 228.71/37.72
% 228.71/37.72 (fact_zdiv__mono2__neg__lemma)
% 228.71/37.72 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 228.71/37.72 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 228.71/37.72 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i]
% 228.71/37.72 : ! [v11: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v11, v1) =
% 228.71/37.72 v9) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v8, v4) = v9) | ~
% 228.71/37.72 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v6) = v7) | ~
% 228.71/37.72 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v3) = v10) | ~ (hAPP(v10, v2)
% 228.71/37.72 = v11) | ~ (hAPP(v7, v5) = v8) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~
% 228.71/37.72 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 228.71/37.72 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v6) | ~
% 228.71/37.72 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) | ~
% 228.71/37.72 c_Orderings_Oord__class_Oless(tc_Int_Oint, v9, v0) | ~
% 228.71/37.72 c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v6) | ~
% 228.71/37.72 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) |
% 228.71/37.72 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v5)))
% 228.71/37.72
% 228.71/37.72 (fact_zero__eq__power2)
% 228.71/37.72 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.71/37.72 (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.71/37.72 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 228.71/37.72 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 228.71/37.72 (c_Power_Opower__class_Opower(v4, v3, v2) = v5) | ~ $i(v4) | ~ $i(v3) |
% 228.71/37.72 ~ class_Rings_Oring__1__no__zero__divisors(v4) | ? [v6: $i] :
% 228.71/37.72 (c_Groups_Ozero__class_Ozero(v4) = v6 & $i(v6) & ( ~ (v6 = v5) | v5 = v3)
% 228.71/37.72 & ( ~ (v6 = v3) | v5 = v3))))
% 228.71/37.72
% 228.71/37.72 (fact_zero__is__num__zero)
% 228.71/37.72 $i(c_Int_OPls) & $i(tc_Int_Oint) & ? [v0: $i] :
% 228.71/37.72 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) = v0 &
% 228.71/37.72 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0))
% 228.71/37.72
% 228.71/37.72 (fact_zero__le__divide__iff)
% 228.71/37.72 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 228.71/37.72 (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 228.71/37.72 ~ $i(v0) | ~ class_Fields_Olinordered__field__inverse__zero(v2) | ? [v4:
% 228.71/37.72 $i] : (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 228.71/37.72 c_Orderings_Oord__class_Oless__eq(v2, v4, v3) |
% 228.71/37.72 (c_Orderings_Oord__class_Oless__eq(v2, v4, v1) &
% 228.71/37.72 c_Orderings_Oord__class_Oless__eq(v2, v4, v0)) |
% 228.71/37.72 (c_Orderings_Oord__class_Oless__eq(v2, v1, v4) &
% 228.71/37.72 c_Orderings_Oord__class_Oless__eq(v2, v0, v4))) &
% 228.71/37.72 (c_Orderings_Oord__class_Oless__eq(v2, v4, v3) | (( ~
% 228.71/37.72 c_Orderings_Oord__class_Oless__eq(v2, v4, v1) | ~
% 228.71/37.72 c_Orderings_Oord__class_Oless__eq(v2, v4, v0)) & ( ~
% 228.71/37.72 c_Orderings_Oord__class_Oless__eq(v2, v1, v4) | ~
% 228.71/37.72 c_Orderings_Oord__class_Oless__eq(v2, v0, v4))))))
% 228.71/37.72
% 228.71/37.72 (fact_zero__le__even__power_H)
% 228.71/37.72 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.71/37.72 ? [v3: $i] : (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.71/37.72 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 228.71/37.72 c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3 & $i(v3) & $i(v2) &
% 228.71/37.72 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 228.71/37.72 [v8: $i] : ( ~ (c_Power_Opower__class_Opower(v6, v5, v7) = v8) | ~
% 228.71/37.72 (hAPP(v3, v4) = v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~
% 228.71/37.72 class_Rings_Olinordered__idom(v6) | ? [v9: $i] :
% 228.71/37.72 (c_Groups_Ozero__class_Ozero(v6) = v9 & $i(v9) &
% 228.71/37.72 c_Orderings_Oord__class_Oless__eq(v6, v9, v8))))
% 228.71/37.72
% 228.71/37.72 (fact_zero__le__mult__iff)
% 228.71/37.72 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 228.71/37.72 (c_Groups_Otimes__class_Otimes(v2, v1) = v3) | ~ (hAPP(v3, v0) = v4) | ~
% 228.71/37.72 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 228.71/37.72 class_Rings_Olinordered__ring__strict(v2) | ? [v5: $i] :
% 228.71/37.72 (c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v5) & ( ~
% 228.71/37.72 c_Orderings_Oord__class_Oless__eq(v2, v5, v4) |
% 228.71/37.72 (c_Orderings_Oord__class_Oless__eq(v2, v5, v1) &
% 228.71/37.72 c_Orderings_Oord__class_Oless__eq(v2, v5, v0)) |
% 228.71/37.72 (c_Orderings_Oord__class_Oless__eq(v2, v1, v5) &
% 228.71/37.72 c_Orderings_Oord__class_Oless__eq(v2, v0, v5))) &
% 228.71/37.72 (c_Orderings_Oord__class_Oless__eq(v2, v5, v4) | (( ~
% 228.71/37.72 c_Orderings_Oord__class_Oless__eq(v2, v5, v1) | ~
% 228.71/37.72 c_Orderings_Oord__class_Oless__eq(v2, v5, v0)) & ( ~
% 228.71/37.72 c_Orderings_Oord__class_Oless__eq(v2, v1, v5) | ~
% 228.71/37.72 c_Orderings_Oord__class_Oless__eq(v2, v0, v5))))))
% 228.71/37.72
% 228.71/37.72 (fact_zero__le__one)
% 228.71/37.72 ! [v0: $i] : ! [v1: $i] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~
% 228.71/37.72 $i(v0) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2: $i] :
% 228.71/37.72 (c_Groups_Ozero__class_Ozero(v0) = v2 & $i(v2) &
% 228.71/37.72 c_Orderings_Oord__class_Oless__eq(v0, v2, v1)))
% 228.71/37.72
% 228.71/37.72 (fact_zero__le__power2)
% 228.71/37.72 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.71/37.72 (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.71/37.72 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 228.71/37.72 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 228.71/37.72 (c_Power_Opower__class_Opower(v4, v3, v2) = v5) | ~ $i(v4) | ~ $i(v3) |
% 228.71/37.72 ~ class_Rings_Olinordered__idom(v4) | ? [v6: $i] :
% 228.71/37.72 (c_Groups_Ozero__class_Ozero(v4) = v6 & $i(v6) &
% 228.71/37.72 c_Orderings_Oord__class_Oless__eq(v4, v6, v5))))
% 228.71/37.72
% 228.71/37.72 (fact_zero__less__power2)
% 228.71/37.72 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.71/37.72 (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.71/37.72 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 228.71/37.72 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 228.71/37.72 (c_Power_Opower__class_Opower(v4, v3, v2) = v5) | ~ $i(v4) | ~ $i(v3) |
% 228.71/37.72 ~ class_Rings_Olinordered__idom(v4) | ? [v6: $i] :
% 228.71/37.72 (c_Groups_Ozero__class_Ozero(v4) = v6 & $i(v6) & ( ~ (v6 = v3) | ~
% 228.71/37.72 c_Orderings_Oord__class_Oless(v4, v3, v5)) & (v6 = v3 |
% 228.71/37.72 c_Orderings_Oord__class_Oless(v4, v6, v5)))))
% 228.71/37.72
% 228.71/37.72 (fact_zero__less__power__nat__eq)
% 228.71/37.72 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 228.71/37.72 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 228.71/37.72 (c_Power_Opower__class_Opower(tc_Nat_Onat, v2, v1) = v3) | ~ $i(v2) | ~
% 228.71/37.72 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) |
% 228.71/37.72 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)) & ! [v1: $i] : !
% 228.71/37.72 [v2: $i] : ! [v3: $i] : ( ~ (c_Power_Opower__class_Opower(tc_Nat_Onat, v2,
% 228.71/37.72 v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 228.71/37.72 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) |
% 228.71/37.72 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3)) & ! [v1: $i] : !
% 228.71/37.72 [v2: $i] : ( ~ (c_Power_Opower__class_Opower(tc_Nat_Onat, v1, v0) = v2) | ~
% 228.71/37.72 $i(v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)))
% 228.71/37.72
% 228.71/37.72 (fact_zero__less__power__nat__eq__number__of)
% 228.71/37.72 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 228.71/37.72 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v0
% 228.71/37.72 | ~ (c_Power_Opower__class_Opower(tc_Nat_Onat, v2, v3) = v4) | ~
% 228.71/37.72 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v3) | ~ $i(v2) | ~
% 228.71/37.72 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v4) |
% 228.71/37.72 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)) & ! [v1: $i] : !
% 228.71/37.72 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 228.71/37.72 (c_Power_Opower__class_Opower(tc_Nat_Onat, v2, v3) = v4) | ~
% 228.71/37.72 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v3) | ~ $i(v2) | ~
% 228.71/37.72 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) |
% 228.71/37.72 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v4)) & ! [v1: $i] : !
% 228.71/37.72 [v2: $i] : ! [v3: $i] : ( ~ (c_Power_Opower__class_Opower(tc_Nat_Onat, v2,
% 228.71/37.72 v0) = v3) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) =
% 228.71/37.72 v0) | ~ $i(v2) | ~ $i(v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 228.71/37.72 v0, v3)))
% 228.71/37.72
% 228.71/37.72 (fact_zero__power2)
% 228.71/37.72 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.71/37.72 (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 228.71/37.72 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 228.71/37.72 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v4 | ~
% 228.71/37.72 (c_Power_Opower__class_Opower(v3, v4, v2) = v5) | ~
% 228.71/37.72 (c_Groups_Ozero__class_Ozero(v3) = v4) | ~ $i(v3) | ~
% 228.71/37.72 class_Rings_Osemiring__1(v3)))
% 228.71/37.72
% 228.71/37.72 (fact_zminus__0)
% 228.71/37.72 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,
% 228.71/37.72 v0) = v0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0))
% 228.71/37.72
% 228.71/37.72 (fact_zmult__zless__mono2)
% 228.71/37.72 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 228.71/37.72 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 228.71/37.72 $i] : ! [v6: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1) =
% 228.71/37.72 v4) | ~ (hAPP(v4, v3) = v5) | ~ (hAPP(v4, v2) = v6) | ~ $i(v3) | ~
% 228.71/37.72 $i(v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v2)
% 228.71/37.72 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) |
% 228.71/37.72 c_Orderings_Oord__class_Oless(tc_Int_Oint, v5, v6)))
% 228.71/37.72
% 228.71/37.72 (fact_zsgn__def)
% 228.71/37.72 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.71/37.72 (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2 &
% 228.71/37.72 c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 &
% 228.71/37.72 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v2) & $i(v1) & $i(v0) &
% 228.71/37.72 ! [v3: $i] : ! [v4: $i] : (v4 = v2 | v3 = v0 | ~
% 228.71/37.72 (c_Groups_Osgn__class_Osgn(tc_Int_Oint, v3) = v4) | ~ $i(v3) |
% 228.71/37.72 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3)) & ! [v3: $i] : !
% 228.71/37.72 [v4: $i] : (v4 = v1 | v3 = v0 | ~ (c_Groups_Osgn__class_Osgn(tc_Int_Oint,
% 228.71/37.72 v3) = v4) | ~ $i(v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 228.71/37.72 v0, v3)) & ! [v3: $i] : (v3 = v0 | ~
% 228.71/37.72 (c_Groups_Osgn__class_Osgn(tc_Int_Oint, v0) = v3)))
% 228.71/37.72
% 228.71/37.72 (function-axioms)
% 228.71/37.72 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0
% 228.71/37.72 | ~ (c_Power_Opower__class_Opower(v4, v3, v2) = v1) | ~
% 228.71/37.72 (c_Power_Opower__class_Opower(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 228.71/37.72 : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 228.71/37.72 (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v1) | ~
% 228.71/37.72 (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 228.71/37.72 : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 228.71/37.72 (c_Rings_Oinverse__class_Odivide(v4, v3, v2) = v1) | ~
% 228.71/37.72 (c_Rings_Oinverse__class_Odivide(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1:
% 228.71/37.72 $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 228.71/37.72 (c_Groups_Oabs__class_Oabs(v3, v2) = v1) | ~ (c_Groups_Oabs__class_Oabs(v3,
% 228.71/37.72 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1
% 228.71/37.72 = v0 | ~ (c_Groups_Ouminus__class_Ouminus(v3, v2) = v1) | ~
% 228.71/37.72 (c_Groups_Ouminus__class_Ouminus(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 228.71/37.72 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 228.71/37.72 (c_Int_Onumber__class_Onumber__of(v3, v2) = v1) | ~
% 228.71/37.72 (c_Int_Onumber__class_Onumber__of(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 228.71/37.72 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (c_Groups_Osgn__class_Osgn(v3, v2)
% 228.71/37.72 = v1) | ~ (c_Groups_Osgn__class_Osgn(v3, v2) = v0)) & ! [v0: $i] : !
% 228.71/37.72 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 228.71/37.72 (c_Rings_Oinverse__class_Oinverse(v3, v2) = v1) | ~
% 228.71/37.72 (c_Rings_Oinverse__class_Oinverse(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 228.71/37.72 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (tc_fun(v3, v2) = v1) | ~
% 228.71/37.72 (tc_fun(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 228.71/37.72 $i] : (v1 = v0 | ~ (c_Groups_Otimes__class_Otimes(v3, v2) = v1) | ~
% 228.71/37.72 (c_Groups_Otimes__class_Otimes(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] :
% 228.71/37.72 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP(v3, v2) = v1) | ~ (hAPP(v3,
% 228.71/37.72 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 228.71/37.72 (c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(v2) = v1) | ~
% 228.71/37.72 (c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(v2) = v0)) & ! [v0: $i]
% 228.71/37.72 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (c_Int_OBit0(v2) = v1) | ~
% 228.71/37.72 (c_Int_OBit0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0
% 228.71/37.72 | ~ (c_Int_OBit1(v2) = v1) | ~ (c_Int_OBit1(v2) = v0)) & ! [v0: $i] : !
% 228.71/37.72 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (c_Int_Opred(v2) = v1) | ~
% 228.71/37.72 (c_Int_Opred(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0
% 228.71/37.72 | ~ (c_Transcendental_Oexp(v2) = v1) | ~ (c_Transcendental_Oexp(v2) = v0))
% 228.71/37.72 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (c_Int_Osucc(v2) =
% 228.71/37.72 v1) | ~ (c_Int_Osucc(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 228.71/37.72 : (v1 = v0 | ~ (c_Groups_Oone__class_Oone(v2) = v1) | ~
% 228.71/37.72 (c_Groups_Oone__class_Oone(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 228.71/37.72 $i] : (v1 = v0 | ~ (c_Groups_Ozero__class_Ozero(v2) = v1) | ~
% 228.71/37.72 (c_Groups_Ozero__class_Ozero(v2) = v0))
% 228.71/37.72
% 228.71/37.72 Further assumptions not needed in the proof:
% 228.71/37.72 --------------------------------------------
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Groups_Oone,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Groups_Ozero,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Int_Onumber,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Orderings_Oord,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Power_Opower,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,
% 228.71/37.73 arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,
% 228.71/37.73 arity_Complex__Ocomplex__Fields_Ofield,
% 228.71/37.73 arity_Complex__Ocomplex__Fields_Ofield__inverse__zero,
% 228.71/37.73 arity_Complex__Ocomplex__Groups_Oab__group__add,
% 228.71/37.73 arity_Complex__Ocomplex__Groups_Oab__semigroup__add,
% 228.71/37.73 arity_Complex__Ocomplex__Groups_Oab__semigroup__mult,
% 228.71/37.73 arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add,
% 228.71/37.73 arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add,
% 228.71/37.73 arity_Complex__Ocomplex__Groups_Ocomm__monoid__add,
% 228.71/37.73 arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult,
% 228.71/37.73 arity_Complex__Ocomplex__Groups_Ogroup__add,
% 228.71/37.73 arity_Complex__Ocomplex__Groups_Omonoid__add,
% 228.71/37.73 arity_Complex__Ocomplex__Groups_Omonoid__mult,
% 228.71/37.73 arity_Complex__Ocomplex__Groups_Oone, arity_Complex__Ocomplex__Groups_Ouminus,
% 228.71/37.73 arity_Complex__Ocomplex__Groups_Ozero, arity_Complex__Ocomplex__Int_Onumber,
% 228.71/37.73 arity_Complex__Ocomplex__Int_Onumber__ring,
% 228.71/37.73 arity_Complex__Ocomplex__Int_Oring__char__0,
% 228.71/37.73 arity_Complex__Ocomplex__Power_Opower,
% 228.71/37.73 arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,
% 228.71/37.73 arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,
% 228.71/37.73 arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,
% 228.71/37.73 arity_Complex__Ocomplex__RealVector_Oreal__normed__field,
% 228.71/37.73 arity_Complex__Ocomplex__RealVector_Oreal__normed__vector,
% 228.71/37.73 arity_Complex__Ocomplex__Rings_Ocomm__ring__1,
% 228.71/37.73 arity_Complex__Ocomplex__Rings_Ocomm__semiring,
% 228.71/37.73 arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,
% 228.71/37.73 arity_Complex__Ocomplex__Rings_Odivision__ring,
% 228.71/37.73 arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero,
% 228.71/37.73 arity_Complex__Ocomplex__Rings_Oidom,
% 228.71/37.73 arity_Complex__Ocomplex__Rings_Omult__zero,
% 228.71/37.73 arity_Complex__Ocomplex__Rings_Ono__zero__divisors,
% 228.71/37.73 arity_Complex__Ocomplex__Rings_Oring, arity_Complex__Ocomplex__Rings_Oring__1,
% 228.71/37.73 arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors,
% 228.71/37.73 arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors,
% 228.71/37.73 arity_Complex__Ocomplex__Rings_Osemiring,
% 228.71/37.73 arity_Complex__Ocomplex__Rings_Osemiring__0,
% 228.71/37.73 arity_Complex__Ocomplex__Rings_Osemiring__1,
% 228.71/37.73 arity_Complex__Ocomplex__Rings_Ozero__neq__one,
% 228.71/37.73 arity_Complex__Ocomplex__SEQ_Obanach,
% 228.71/37.73 arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,
% 228.71/37.73 arity_HOL__Obool__Groups_Ouminus, arity_HOL__Obool__Lattices_Oboolean__algebra,
% 228.71/37.73 arity_HOL__Obool__Orderings_Oord, arity_HOL__Obool__Orderings_Oorder,
% 228.71/37.73 arity_HOL__Obool__Orderings_Opreorder, arity_Int__Oint__Groups_Oab__group__add,
% 228.71/37.73 arity_Int__Oint__Groups_Oab__semigroup__add,
% 228.71/37.73 arity_Int__Oint__Groups_Oab__semigroup__mult, arity_Int__Oint__Groups_Oabs__if,
% 228.71/37.73 arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,
% 228.71/37.73 arity_Int__Oint__Groups_Ocancel__semigroup__add,
% 228.71/37.73 arity_Int__Oint__Groups_Ocomm__monoid__add,
% 228.71/37.73 arity_Int__Oint__Groups_Ocomm__monoid__mult,
% 228.71/37.73 arity_Int__Oint__Groups_Ogroup__add,
% 228.71/37.73 arity_Int__Oint__Groups_Olinordered__ab__group__add,
% 228.71/37.73 arity_Int__Oint__Groups_Omonoid__add, arity_Int__Oint__Groups_Omonoid__mult,
% 228.71/37.73 arity_Int__Oint__Groups_Oone, arity_Int__Oint__Groups_Oordered__ab__group__add,
% 228.71/37.73 arity_Int__Oint__Groups_Oordered__ab__group__add__abs,
% 228.71/37.73 arity_Int__Oint__Groups_Oordered__ab__semigroup__add,
% 228.71/37.73 arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,
% 228.71/37.73 arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,
% 228.71/37.73 arity_Int__Oint__Groups_Oordered__comm__monoid__add,
% 228.71/37.73 arity_Int__Oint__Groups_Osgn__if, arity_Int__Oint__Groups_Ouminus,
% 228.71/37.73 arity_Int__Oint__Groups_Ozero, arity_Int__Oint__Int_Onumber,
% 228.71/37.73 arity_Int__Oint__Int_Onumber__ring, arity_Int__Oint__Int_Oring__char__0,
% 228.71/37.73 arity_Int__Oint__Orderings_Olinorder, arity_Int__Oint__Orderings_Oord,
% 228.71/37.73 arity_Int__Oint__Orderings_Oorder, arity_Int__Oint__Orderings_Opreorder,
% 228.71/37.73 arity_Int__Oint__Power_Opower, arity_Int__Oint__Rings_Ocomm__ring__1,
% 228.71/37.73 arity_Int__Oint__Rings_Ocomm__semiring,
% 228.71/37.73 arity_Int__Oint__Rings_Ocomm__semiring__1, arity_Int__Oint__Rings_Oidom,
% 228.71/37.73 arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,
% 228.71/37.73 arity_Int__Oint__Rings_Olinordered__idom,
% 228.71/37.73 arity_Int__Oint__Rings_Olinordered__ring,
% 228.71/37.73 arity_Int__Oint__Rings_Olinordered__ring__strict,
% 228.71/37.73 arity_Int__Oint__Rings_Olinordered__semidom,
% 228.71/37.73 arity_Int__Oint__Rings_Olinordered__semiring,
% 228.71/37.73 arity_Int__Oint__Rings_Olinordered__semiring__1,
% 228.71/37.73 arity_Int__Oint__Rings_Olinordered__semiring__1__strict,
% 228.71/37.73 arity_Int__Oint__Rings_Olinordered__semiring__strict,
% 228.71/37.73 arity_Int__Oint__Rings_Omult__zero, arity_Int__Oint__Rings_Ono__zero__divisors,
% 228.71/37.73 arity_Int__Oint__Rings_Oordered__cancel__semiring,
% 228.71/37.73 arity_Int__Oint__Rings_Oordered__comm__semiring,
% 228.71/37.73 arity_Int__Oint__Rings_Oordered__ring,
% 228.71/37.73 arity_Int__Oint__Rings_Oordered__ring__abs,
% 228.71/37.73 arity_Int__Oint__Rings_Oordered__semiring, arity_Int__Oint__Rings_Oring,
% 228.71/37.73 arity_Int__Oint__Rings_Oring__1,
% 228.71/37.73 arity_Int__Oint__Rings_Oring__1__no__zero__divisors,
% 228.71/37.73 arity_Int__Oint__Rings_Oring__no__zero__divisors,
% 228.71/37.73 arity_Int__Oint__Rings_Osemiring, arity_Int__Oint__Rings_Osemiring__0,
% 228.71/37.73 arity_Int__Oint__Rings_Osemiring__1, arity_Int__Oint__Rings_Ozero__neq__one,
% 228.71/37.73 arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,
% 228.71/37.73 arity_Nat__Onat__Groups_Oab__semigroup__add,
% 228.71/37.73 arity_Nat__Onat__Groups_Oab__semigroup__mult,
% 228.71/37.73 arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,
% 228.71/37.73 arity_Nat__Onat__Groups_Ocancel__semigroup__add,
% 228.71/37.73 arity_Nat__Onat__Groups_Ocomm__monoid__add,
% 228.71/37.73 arity_Nat__Onat__Groups_Ocomm__monoid__mult,
% 228.71/37.73 arity_Nat__Onat__Groups_Omonoid__add, arity_Nat__Onat__Groups_Omonoid__mult,
% 228.71/37.73 arity_Nat__Onat__Groups_Oone,
% 228.71/37.73 arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,
% 228.71/37.73 arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,
% 228.71/37.73 arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,
% 228.71/37.73 arity_Nat__Onat__Groups_Oordered__comm__monoid__add,
% 228.71/37.73 arity_Nat__Onat__Groups_Ozero, arity_Nat__Onat__Int_Onumber,
% 228.71/37.73 arity_Nat__Onat__Orderings_Olinorder, arity_Nat__Onat__Orderings_Oord,
% 228.71/37.73 arity_Nat__Onat__Orderings_Oorder, arity_Nat__Onat__Orderings_Opreorder,
% 228.71/37.73 arity_Nat__Onat__Power_Opower, arity_Nat__Onat__Rings_Ocomm__semiring,
% 228.71/37.73 arity_Nat__Onat__Rings_Ocomm__semiring__1,
% 228.71/37.73 arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,
% 228.71/37.73 arity_Nat__Onat__Rings_Olinordered__semidom,
% 228.71/37.73 arity_Nat__Onat__Rings_Olinordered__semiring,
% 228.71/37.73 arity_Nat__Onat__Rings_Olinordered__semiring__strict,
% 228.71/37.73 arity_Nat__Onat__Rings_Omult__zero, arity_Nat__Onat__Rings_Ono__zero__divisors,
% 228.71/37.73 arity_Nat__Onat__Rings_Oordered__cancel__semiring,
% 228.71/37.73 arity_Nat__Onat__Rings_Oordered__comm__semiring,
% 228.71/37.73 arity_Nat__Onat__Rings_Oordered__semiring, arity_Nat__Onat__Rings_Osemiring,
% 228.71/37.73 arity_Nat__Onat__Rings_Osemiring__0, arity_Nat__Onat__Rings_Osemiring__1,
% 228.71/37.73 arity_Nat__Onat__Rings_Ozero__neq__one,
% 228.71/37.73 arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,
% 228.71/37.73 arity_RealDef__Oreal__Fields_Ofield,
% 228.71/37.73 arity_RealDef__Oreal__Fields_Ofield__inverse__zero,
% 228.71/37.73 arity_RealDef__Oreal__Groups_Oab__group__add,
% 228.71/37.73 arity_RealDef__Oreal__Groups_Oab__semigroup__add,
% 228.71/37.73 arity_RealDef__Oreal__Groups_Oab__semigroup__mult,
% 228.71/37.73 arity_RealDef__Oreal__Groups_Oabs__if,
% 228.71/37.73 arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add,
% 228.71/37.73 arity_RealDef__Oreal__Groups_Ocancel__semigroup__add,
% 228.71/37.73 arity_RealDef__Oreal__Groups_Ocomm__monoid__add,
% 228.71/37.73 arity_RealDef__Oreal__Groups_Ocomm__monoid__mult,
% 228.71/37.73 arity_RealDef__Oreal__Groups_Olinordered__ab__group__add,
% 228.71/37.73 arity_RealDef__Oreal__Groups_Omonoid__add,
% 228.71/37.73 arity_RealDef__Oreal__Groups_Omonoid__mult, arity_RealDef__Oreal__Groups_Oone,
% 228.71/37.73 arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs,
% 228.71/37.73 arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add,
% 228.71/37.73 arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le,
% 228.71/37.73 arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add,
% 228.71/37.73 arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add,
% 228.71/37.73 arity_RealDef__Oreal__Groups_Osgn__if, arity_RealDef__Oreal__Groups_Ouminus,
% 228.71/37.73 arity_RealDef__Oreal__Groups_Ozero, arity_RealDef__Oreal__Int_Onumber,
% 228.71/37.73 arity_RealDef__Oreal__Int_Oring__char__0,
% 228.71/37.73 arity_RealDef__Oreal__Orderings_Olinorder, arity_RealDef__Oreal__Orderings_Oord,
% 228.71/37.73 arity_RealDef__Oreal__Orderings_Opreorder, arity_RealDef__Oreal__Power_Opower,
% 228.71/37.73 arity_RealDef__Oreal__RealVector_Oreal__normed__algebra,
% 228.71/37.73 arity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,
% 228.71/37.73 arity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,
% 228.71/37.73 arity_RealDef__Oreal__RealVector_Oreal__normed__field,
% 228.71/37.73 arity_RealDef__Oreal__RealVector_Oreal__normed__vector,
% 228.71/37.73 arity_RealDef__Oreal__Rings_Ocomm__ring__1,
% 228.71/37.73 arity_RealDef__Oreal__Rings_Ocomm__semiring,
% 228.71/37.73 arity_RealDef__Oreal__Rings_Ocomm__semiring__1,
% 228.71/37.73 arity_RealDef__Oreal__Rings_Odivision__ring,
% 228.71/37.73 arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero,
% 228.71/37.73 arity_RealDef__Oreal__Rings_Oidom,
% 228.71/37.73 arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict,
% 228.71/37.73 arity_RealDef__Oreal__Rings_Olinordered__ring,
% 228.71/37.73 arity_RealDef__Oreal__Rings_Olinordered__semiring,
% 228.71/37.73 arity_RealDef__Oreal__Rings_Olinordered__semiring__1,
% 228.71/37.73 arity_RealDef__Oreal__Rings_Olinordered__semiring__1__strict,
% 228.71/37.73 arity_RealDef__Oreal__Rings_Omult__zero,
% 228.71/37.73 arity_RealDef__Oreal__Rings_Oordered__comm__semiring,
% 228.71/37.73 arity_RealDef__Oreal__Rings_Oordered__ring__abs,
% 228.71/37.73 arity_RealDef__Oreal__Rings_Oordered__semiring,
% 228.71/37.73 arity_RealDef__Oreal__Rings_Oring, arity_RealDef__Oreal__Rings_Oring__1,
% 228.71/37.73 arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors,
% 228.71/37.73 arity_RealDef__Oreal__Rings_Osemiring, arity_RealDef__Oreal__Rings_Osemiring__0,
% 228.71/37.73 arity_RealDef__Oreal__Rings_Osemiring__1,
% 228.71/37.73 arity_RealDef__Oreal__Rings_Ozero__neq__one, arity_RealDef__Oreal__SEQ_Obanach,
% 228.71/37.73 arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,
% 228.71/37.73 arity_fun__Groups_Ouminus, arity_fun__Lattices_Oboolean__algebra,
% 228.71/37.73 arity_fun__Orderings_Oord, arity_fun__Orderings_Oorder,
% 228.71/37.73 arity_fun__Orderings_Opreorder, fact_Bit0__Pls, fact_Bit0__def, fact_Bit1__def,
% 228.71/37.73 fact_DERIV__cmult__Id, fact_DERIV__cong, fact_DERIV__exp, fact_DERIV__unique,
% 228.71/37.73 fact_Deriv_Olemma__DERIV__subst, fact_Numeral1__eq1__nat, fact_ab__left__minus,
% 228.71/37.73 fact_ab__semigroup__add__class_Oadd__ac_I1_J,
% 228.71/37.73 fact_ab__semigroup__mult__class_Omult__ac_I1_J, fact_abs__div__pos,
% 228.71/37.73 fact_abs__eq__mult, fact_abs__if, fact_abs__minus__le__zero,
% 228.71/37.73 fact_abs__mult__less, fact_abs__mult__pos, fact_abs__of__neg,
% 228.71/37.73 fact_abs__of__nonpos, fact_abs__one, fact_abs__power__minus, fact_add1__zle__eq,
% 228.71/37.73 fact_add_Ocomm__neutral, fact_add__0, fact_add__0__iff, fact_add__0__left,
% 228.71/37.73 fact_add__0__right, fact_add__Bit0__Bit0, fact_add__Bit0__Bit1,
% 228.71/37.73 fact_add__Bit1__Bit0, fact_add__Bit1__Bit1, fact_add__Pls, fact_add__Pls__right,
% 228.71/37.73 fact_add__divide__distrib, fact_add__divide__eq__iff, fact_add__eq__0__iff,
% 228.71/37.73 fact_add__frac__eq, fact_add__frac__num, fact_add__imp__eq,
% 228.71/37.73 fact_add__increasing, fact_add__increasing2, fact_add__leD1, fact_add__leD2,
% 228.71/37.73 fact_add__leE, fact_add__le__cancel__left, fact_add__le__cancel__right,
% 228.71/37.73 fact_add__le__imp__le__left, fact_add__le__imp__le__right,
% 228.71/37.73 fact_add__le__less__mono, fact_add__le__mono, fact_add__le__mono1,
% 228.71/37.73 fact_add__left__cancel, fact_add__left__imp__eq, fact_add__left__mono,
% 228.71/37.73 fact_add__lessD1, fact_add__less__cancel__left, fact_add__less__cancel__right,
% 228.71/37.73 fact_add__less__imp__less__left, fact_add__less__imp__less__right,
% 228.71/37.73 fact_add__less__le__mono, fact_add__less__mono, fact_add__less__mono1,
% 228.71/37.73 fact_add__minus__cancel, fact_add__mono, fact_add__mult__distrib,
% 228.71/37.73 fact_add__mult__distrib2, fact_add__nat__number__of, fact_add__neg__neg,
% 228.71/37.73 fact_add__neg__nonpos, fact_add__nonneg__eq__0__iff, fact_add__nonneg__nonneg,
% 228.71/37.73 fact_add__nonneg__pos, fact_add__nonpos__neg, fact_add__nonpos__nonpos,
% 228.71/37.73 fact_add__num__frac, fact_add__number__of__eq, fact_add__number__of__left,
% 228.71/37.73 fact_add__numeral__0, fact_add__numeral__0__right, fact_add__pos__nonneg,
% 228.71/37.73 fact_add__pos__pos, fact_add__right__cancel, fact_add__right__imp__eq,
% 228.71/37.73 fact_add__right__mono, fact_add__scale__eq__noteq, fact_add__strict__increasing,
% 228.71/37.73 fact_add__strict__increasing2, fact_add__strict__left__mono,
% 228.71/37.73 fact_add__strict__mono, fact_add__strict__right__mono, fact_arctan__minus,
% 228.71/37.73 fact_arctan__monotone, fact_arctan__monotone_H, fact_arith__simps_I30_J,
% 228.71/37.73 fact_arith__simps_I32_J, fact_combine__common__factor,
% 228.71/37.73 fact_comm__mult__left__mono, fact_comm__mult__strict__left__mono,
% 228.71/37.73 fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,
% 228.71/37.73 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,
% 228.71/37.73 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,
% 228.71/37.73 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,
% 228.71/37.73 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,
% 228.71/37.73 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,
% 228.71/37.73 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,
% 228.71/37.73 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,
% 228.71/37.73 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,
% 228.71/37.73 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,
% 228.71/37.73 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,
% 228.71/37.73 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,
% 228.71/37.73 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,
% 228.71/37.73 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,
% 228.71/37.73 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,
% 228.71/37.73 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,
% 228.71/37.73 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,
% 228.71/37.73 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,
% 228.71/37.73 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,
% 228.71/37.73 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,
% 228.71/37.73 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,
% 228.71/37.73 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,
% 228.71/37.73 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,
% 228.71/37.73 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,
% 228.71/37.73 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,
% 228.71/37.73 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,
% 228.71/37.73 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,
% 228.71/37.73 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,
% 228.71/37.73 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,
% 228.71/37.73 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,
% 228.71/37.73 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,
% 228.71/37.73 fact_comm__semiring__class_Odistrib, fact_compl__eq__compl__iff,
% 228.71/37.73 fact_compl__le__compl__iff, fact_compl__mono, fact_convex__bound__le,
% 228.71/37.73 fact_convex__bound__lt, fact_crossproduct__eq, fact_crossproduct__noteq,
% 228.71/37.73 fact_divide_Oadd, fact_divide_Ominus, fact_divide_Ozero, fact_divide__1,
% 228.71/37.73 fact_divide__Numeral0, fact_divide__add__eq__iff, fact_divide__eq__eq,
% 228.71/37.73 fact_divide__eq__eq__number__of, fact_divide__eq__eq__number__of1,
% 228.71/37.73 fact_divide__eq__imp, fact_divide__inverse, fact_divide__le__eq,
% 228.71/37.73 fact_divide__le__eq__number__of, fact_divide__le__eq__number__of1,
% 228.71/37.73 fact_divide__left__mono, fact_divide__left__mono__neg, fact_divide__less__eq,
% 228.71/37.73 fact_divide__less__eq__number__of, fact_divide__less__eq__number__of1,
% 228.71/37.73 fact_divide__neg__neg, fact_divide__pos__pos, fact_divide__real__def,
% 228.71/37.73 fact_divide__right__mono, fact_divide__right__mono__neg, fact_divide__self,
% 228.71/37.73 fact_divide__self__if, fact_divide__strict__left__mono,
% 228.71/37.73 fact_divide__strict__left__mono__neg, fact_divide__strict__right__mono,
% 228.71/37.73 fact_divide__strict__right__mono__neg, fact_divide__zero,
% 228.71/37.73 fact_divide__zero__left, fact_division__ring__inverse__add,
% 228.71/37.73 fact_double__add__le__zero__iff__single__add__le__zero,
% 228.71/37.73 fact_double__add__less__zero__iff__single__add__less__zero, fact_double__compl,
% 228.71/37.73 fact_double__eq__0__iff, fact_double__number__of__Bit0, fact_double__zero__sym,
% 228.71/37.73 fact_eq__divide__eq, fact_eq__divide__eq__number__of,
% 228.71/37.73 fact_eq__divide__eq__number__of1, fact_eq__divide__imp, fact_eq__imp__le,
% 228.71/37.73 fact_eq__neg__iff__add__eq__0, fact_eq__number__of, fact_eq__number__of__eq,
% 228.71/37.73 fact_eq__special_I1_J, fact_eq__special_I3_J, fact_equal__neg__zero,
% 228.71/37.73 fact_equation__minus__iff, fact_even__less__0__iff, fact_exp__add,
% 228.71/37.73 fact_exp__inj__iff, fact_exp__le__cancel__iff, fact_exp__less__cancel,
% 228.71/37.73 fact_exp__less__cancel__iff, fact_exp__less__mono, fact_exp__ln__eq,
% 228.71/37.73 fact_exp__minus, fact_exp__not__eq__zero, fact_exp__zero, fact_ext,
% 228.71/37.73 fact_field__class_Onormalizing__field__rules_I2_J, fact_field__divide__inverse,
% 228.71/37.73 fact_field__inverse, fact_field__inverse__zero, fact_field__le__epsilon,
% 228.71/37.73 fact_field__le__mult__one__interval, fact_field__power__not__zero,
% 228.71/37.73 fact_frac__eq__eq, fact_frac__le, fact_frac__less, fact_frac__less2,
% 228.71/37.73 fact_gt__half__sum, fact_inverse__1, fact_inverse__add, fact_inverse__divide,
% 228.71/37.73 fact_inverse__eq__1__iff, fact_inverse__eq__divide,
% 228.71/37.73 fact_inverse__eq__divide__number__of, fact_inverse__eq__iff__eq,
% 228.71/37.73 fact_inverse__eq__imp__eq, fact_inverse__inverse__eq, fact_inverse__le__1__iff,
% 228.71/37.73 fact_inverse__le__imp__le, fact_inverse__le__imp__le__neg,
% 228.71/37.73 fact_inverse__less__1__iff, fact_inverse__less__imp__less,
% 228.71/37.73 fact_inverse__less__imp__less__neg, fact_inverse__minus__eq,
% 228.71/37.73 fact_inverse__mult__distrib, fact_inverse__negative__iff__negative,
% 228.71/37.73 fact_inverse__negative__imp__negative,
% 228.71/37.73 fact_inverse__nonnegative__iff__nonnegative,
% 228.71/37.73 fact_inverse__nonpositive__iff__nonpositive,
% 228.71/37.73 fact_inverse__nonzero__iff__nonzero, fact_inverse__positive__iff__positive,
% 228.71/37.73 fact_inverse__positive__imp__positive, fact_inverse__unique, fact_inverse__zero,
% 228.71/37.73 fact_inverse__zero__imp__zero, fact_iszero__0, fact_iszero__Numeral0,
% 228.71/37.73 fact_iszero__def, fact_iszero__number__of__Bit0, fact_iszero__number__of__Bit1,
% 228.71/37.73 fact_leD, fact_leI, fact_le__Suc__ex__iff, fact_le__add1, fact_le__add2,
% 228.71/37.73 fact_le__antisym, fact_le__cube, fact_le__divide__eq__number__of,
% 228.71/37.73 fact_le__divide__eq__number__of1, fact_le__eq__less__or__eq, fact_le__funD,
% 228.71/37.73 fact_le__funE, fact_le__fun__def, fact_le__iff__add, fact_le__iff__pred__less,
% 228.71/37.73 fact_le__imp__inverse__le, fact_le__imp__inverse__le__neg,
% 228.71/37.73 fact_le__imp__neg__le, fact_le__minus__iff, fact_le__minus__self__iff,
% 228.71/37.73 fact_le__nat__number__of, fact_le__neq__implies__less, fact_le__number__of,
% 228.71/37.73 fact_le__number__of__eq__not__less, fact_le__real__sqrt__sumsq, fact_le__refl,
% 228.71/37.73 fact_le__special_I3_J, fact_le__square, fact_le__trans,
% 228.71/37.73 fact_left__add__mult__distrib, fact_left__distrib__number__of,
% 228.71/37.73 fact_left__inverse, fact_left__minus, fact_less__1__mult,
% 228.71/37.73 fact_less__add__eq__less, fact_less__add__one,
% 228.71/37.73 fact_less__divide__eq__number__of, fact_less__divide__eq__number__of1,
% 228.71/37.73 fact_less__eq__int__code_I13_J, fact_less__eq__int__code_I14_J,
% 228.71/37.73 fact_less__eq__int__code_I15_J, fact_less__eq__int__code_I16_J,
% 228.71/37.73 fact_less__eq__number__of__int__code, fact_less__eq__real__def,
% 228.71/37.73 fact_less__fun__def, fact_less__half__sum, fact_less__imp__inverse__less,
% 228.71/37.73 fact_less__imp__inverse__less__neg, fact_less__imp__le__nat,
% 228.71/37.73 fact_less__imp__neq, fact_less__int__code_I13_J, fact_less__int__code_I14_J,
% 228.71/37.73 fact_less__int__code_I15_J, fact_less__int__code_I16_J, fact_less__irrefl__nat,
% 228.71/37.73 fact_less__le__not__le, fact_less__minus__iff, fact_less__minus__self__iff,
% 228.71/37.73 fact_less__not__refl, fact_less__not__refl2, fact_less__not__refl3,
% 228.71/37.73 fact_less__number__of, fact_less__number__of__int__code,
% 228.71/37.73 fact_less__or__eq__imp__le, fact_less__special_I3_J,
% 228.71/37.73 fact_linorder__antisym__conv1, fact_linorder__antisym__conv2,
% 228.71/37.73 fact_linorder__antisym__conv3, fact_linorder__cases, fact_linorder__le__cases,
% 228.71/37.73 fact_linorder__le__less__linear, fact_linorder__less__linear,
% 228.71/37.73 fact_linorder__linear, fact_linorder__neqE,
% 228.71/37.73 fact_linorder__neqE__linordered__idom, fact_linorder__neqE__nat,
% 228.71/37.73 fact_linorder__neq__iff, fact_linorder__not__le, fact_linorder__not__less,
% 228.71/37.73 fact_ln__exp, fact_ln__unique, fact_minus__Bit0, fact_minus__Bit1,
% 228.71/37.73 fact_minus__Pls, fact_minus__add, fact_minus__add__cancel,
% 228.71/37.73 fact_minus__add__distrib, fact_minus__divide__divide, fact_minus__divide__left,
% 228.71/37.73 fact_minus__divide__right, fact_minus__equation__iff, fact_minus__le__iff,
% 228.71/37.73 fact_minus__le__self__iff, fact_minus__less__iff, fact_minus__minus,
% 228.71/37.73 fact_minus__mult__commute, fact_minus__mult__left, fact_minus__mult__minus,
% 228.71/37.73 fact_minus__mult__right, fact_minus__number__of__mult,
% 228.71/37.73 fact_minus__numeral__code_I5_J, fact_minus__unique, fact_minus__zero,
% 228.71/37.73 fact_mult_Oadd__left, fact_mult_Oadd__right, fact_mult_Ocomm__neutral,
% 228.71/37.73 fact_mult_Ominus__left, fact_mult_Ominus__right, fact_mult_Ozero__left,
% 228.71/37.73 fact_mult_Ozero__right, fact_mult__1, fact_mult__1__left, fact_mult__1__right,
% 228.71/37.73 fact_mult__Bit0, fact_mult__Bit1, fact_mult__Pls,
% 228.71/37.73 fact_mult__divide__mult__cancel__left, fact_mult__divide__mult__cancel__right,
% 228.71/37.73 fact_mult__exp__exp, fact_mult__idem, fact_mult__imp__div__pos__le,
% 228.71/37.73 fact_mult__imp__div__pos__less, fact_mult__imp__le__div__pos,
% 228.71/37.73 fact_mult__imp__less__div__pos, fact_mult__le__cancel__left__neg,
% 228.71/37.73 fact_mult__le__cancel__left__pos, fact_mult__le__less__imp__less,
% 228.71/37.73 fact_mult__le__mono, fact_mult__le__mono1, fact_mult__le__mono2,
% 228.71/37.73 fact_mult__left_Oadd, fact_mult__left_Ominus, fact_mult__left_Ozero,
% 228.71/37.73 fact_mult__left__idem, fact_mult__left__le__imp__le,
% 228.71/37.73 fact_mult__left__le__one__le, fact_mult__left__less__imp__less,
% 228.71/37.73 fact_mult__left__mono, fact_mult__left__mono__neg,
% 228.71/37.73 fact_mult__less__cancel__left__disj, fact_mult__less__cancel__left__neg,
% 228.71/37.73 fact_mult__less__cancel__left__pos, fact_mult__less__cancel__right__disj,
% 228.71/37.73 fact_mult__less__imp__less__left, fact_mult__less__imp__less__right,
% 228.71/37.73 fact_mult__less__le__imp__less, fact_mult__mono, fact_mult__mono_H,
% 228.71/37.73 fact_mult__nonneg__nonpos2, fact_mult__number__of__left, fact_mult__pos__neg2,
% 228.71/37.73 fact_mult__right_Oadd, fact_mult__right_Ominus, fact_mult__right_Ozero,
% 228.71/37.73 fact_mult__right__le__imp__le, fact_mult__right__le__one__le,
% 228.71/37.73 fact_mult__right__less__imp__less, fact_mult__right__mono,
% 228.71/37.73 fact_mult__right__mono__neg, fact_mult__strict__left__mono,
% 228.71/37.73 fact_mult__strict__left__mono__neg, fact_mult__strict__mono,
% 228.71/37.73 fact_mult__strict__mono_H, fact_mult__strict__right__mono,
% 228.71/37.73 fact_mult__strict__right__mono__neg, fact_mult__zero__left,
% 228.71/37.73 fact_mult__zero__right, fact_nat__1__add__number__of,
% 228.71/37.73 fact_nat__1__eq__mult__iff, fact_nat__add__assoc, fact_nat__add__commute,
% 228.71/37.73 fact_nat__add__left__cancel, fact_nat__add__left__cancel__le,
% 228.71/37.73 fact_nat__add__left__cancel__less, fact_nat__add__left__commute,
% 228.71/37.73 fact_nat__add__right__cancel, fact_nat__le__linear, fact_nat__less__cases,
% 228.71/37.73 fact_nat__less__le, fact_nat__mult__1, fact_nat__mult__1__right,
% 228.71/37.73 fact_nat__mult__assoc, fact_nat__mult__commute, fact_nat__mult__eq__1__iff,
% 228.71/37.73 fact_nat__neq__iff, fact_nat__number__of__add__1, fact_neg__divide__le__eq,
% 228.71/37.73 fact_neg__divide__less__eq, fact_neg__equal__iff__equal, fact_neg__equal__zero,
% 228.71/37.73 fact_neg__le__divide__eq, fact_neg__le__iff__le, fact_neg__less__divide__eq,
% 228.71/37.73 fact_neg__less__iff__less, fact_neg__less__nonneg,
% 228.71/37.73 fact_negative__imp__inverse__negative, fact_nonzero__divide__eq__eq,
% 228.71/37.73 fact_nonzero__eq__divide__eq, fact_nonzero__imp__inverse__nonzero,
% 228.71/37.73 fact_nonzero__inverse__eq__divide, fact_nonzero__inverse__eq__imp__eq,
% 228.71/37.73 fact_nonzero__inverse__inverse__eq, fact_nonzero__inverse__minus__eq,
% 228.71/37.73 fact_nonzero__inverse__mult__distrib, fact_nonzero__minus__divide__divide,
% 228.71/37.73 fact_nonzero__minus__divide__right, fact_nonzero__power__divide,
% 228.71/37.73 fact_nonzero__power__inverse, fact_not__add__less1, fact_not__add__less2,
% 228.71/37.73 fact_not__iszero__1, fact_not__leE, fact_not__less__iff__gr__or__eq,
% 228.71/37.73 fact_not__square__less__zero, fact_not__sum__squares__lt__zero,
% 228.71/37.73 fact_number__of__Bit0, fact_number__of__Bit1, fact_number__of__Pls,
% 228.71/37.73 fact_number__of__add, fact_number__of__minus, fact_number__of__mult,
% 228.71/37.73 fact_number__of__pred, fact_number__of__reorient, fact_number__of__succ,
% 228.71/37.73 fact_one__code__numeral__code, fact_one__le__inverse,
% 228.71/37.73 fact_one__le__inverse__iff, fact_one__le__power, fact_one__less__inverse,
% 228.71/37.73 fact_one__less__inverse__iff, fact_one__neq__zero, fact_one__reorient,
% 228.71/37.73 fact_ord__eq__le__trans, fact_ord__eq__less__trans, fact_ord__le__eq__trans,
% 228.71/37.73 fact_ord__less__eq__trans, fact_order__antisym, fact_order__antisym__conv,
% 228.71/37.73 fact_order__eq__iff, fact_order__eq__refl, fact_order__le__imp__less__or__eq,
% 228.71/37.73 fact_order__le__less__trans, fact_order__le__neq__trans, fact_order__less__asym,
% 228.71/37.73 fact_order__less__asym_H, fact_order__less__imp__le,
% 228.71/37.73 fact_order__less__imp__not__eq, fact_order__less__imp__not__eq2,
% 228.71/37.73 fact_order__less__imp__not__less, fact_order__less__irrefl,
% 228.71/37.73 fact_order__less__le, fact_order__less__le__trans, fact_order__less__not__sym,
% 228.71/37.73 fact_order__less__trans, fact_order__neq__le__trans, fact_order__refl,
% 228.71/37.73 fact_order__trans, fact_plus__numeral__code_I9_J, fact_pos__add__strict,
% 228.71/37.73 fact_pos__divide__le__eq, fact_pos__divide__less__eq, fact_pos__le__divide__eq,
% 228.71/37.73 fact_positive__imp__inverse__positive, fact_power__Suc__less, fact_power__abs,
% 228.71/37.73 fact_power__add, fact_power__commutes, fact_power__decreasing,
% 228.71/37.73 fact_power__divide, fact_power__gt1__lemma, fact_power__increasing,
% 228.71/37.73 fact_power__increasing__iff, fact_power__inject__exp, fact_power__inverse,
% 228.71/37.73 fact_power__le__imp__le__exp, fact_power__less__imp__less__base,
% 228.71/37.73 fact_power__less__imp__less__exp, fact_power__less__power__Suc,
% 228.71/37.73 fact_power__minus, fact_power__mono, fact_power__mult,
% 228.71/37.73 fact_power__mult__distrib, fact_power__one, fact_power__one__over,
% 228.71/37.73 fact_power__one__right, fact_power__strict__decreasing,
% 228.71/37.73 fact_power__strict__increasing, fact_power__strict__increasing__iff,
% 228.71/37.73 fact_pred__Bit0, fact_pred__Bit1, fact_real__add__left__mono,
% 228.71/37.73 fact_real__add__mult__distrib, fact_real__divide__def,
% 228.71/37.73 fact_real__divide__square__eq, fact_real__le__antisym, fact_real__le__linear,
% 228.71/37.73 fact_real__le__refl, fact_real__le__trans, fact_real__less__def,
% 228.71/37.73 fact_real__minus__mult__self__le, fact_real__mult__assoc,
% 228.71/37.73 fact_real__mult__commute, fact_real__sgn__eq, fact_real__sqrt__divide,
% 228.71/37.73 fact_real__sqrt__eq__iff, fact_real__sqrt__inverse, fact_real__sqrt__le__iff,
% 228.71/37.73 fact_real__sqrt__le__mono, fact_real__sqrt__less__iff,
% 228.71/37.73 fact_real__sqrt__less__mono, fact_real__sqrt__minus, fact_real__sqrt__mult,
% 228.71/37.73 fact_real__sqrt__power, fact_rel__simps_I10_J, fact_rel__simps_I12_J,
% 228.71/37.73 fact_rel__simps_I14_J, fact_rel__simps_I15_J, fact_rel__simps_I16_J,
% 228.71/37.73 fact_rel__simps_I17_J, fact_rel__simps_I19_J, fact_rel__simps_I21_J,
% 228.71/37.73 fact_rel__simps_I22_J, fact_rel__simps_I27_J, fact_rel__simps_I29_J,
% 228.71/37.73 fact_rel__simps_I2_J, fact_rel__simps_I31_J, fact_rel__simps_I32_J,
% 228.71/37.73 fact_rel__simps_I33_J, fact_rel__simps_I34_J, fact_rel__simps_I38_J,
% 228.71/37.73 fact_rel__simps_I39_J, fact_rel__simps_I44_J, fact_rel__simps_I46_J,
% 228.71/37.73 fact_rel__simps_I48_J, fact_rel__simps_I49_J, fact_rel__simps_I4_J,
% 228.71/37.73 fact_rel__simps_I50_J, fact_rel__simps_I51_J, fact_rel__simps_I5_J,
% 228.71/37.73 fact_right__distrib__number__of, fact_right__inverse, fact_right__inverse__eq,
% 228.71/37.73 fact_right__minus, fact_semiring__norm_I112_J, fact_sgn0, fact_sgn__0__0,
% 228.71/37.73 fact_sgn__1__neg, fact_sgn__1__pos, fact_sgn__greater, fact_sgn__if,
% 228.71/37.73 fact_sgn__less, fact_sgn__minus, fact_sgn__mult, fact_sgn__neg, fact_sgn__one,
% 228.71/37.73 fact_sgn__pos, fact_sgn__sgn, fact_sgn__times, fact_sgn__zero,
% 228.71/37.73 fact_sgn__zero__iff, fact_square__eq__1__iff, fact_square__eq__iff,
% 228.71/37.73 fact_succ__Bit0, fact_succ__Bit1, fact_succ__def, fact_succ__pred,
% 228.71/37.73 fact_sum__squares__eq__zero__iff, fact_sum__squares__ge__zero,
% 228.71/37.73 fact_sum__squares__gt__zero__iff, fact_sum__squares__le__zero__iff,
% 228.71/37.73 fact_termination__basic__simps_I1_J, fact_termination__basic__simps_I2_J,
% 228.71/37.73 fact_termination__basic__simps_I3_J, fact_termination__basic__simps_I4_J,
% 228.71/37.73 fact_termination__basic__simps_I5_J, fact_times_Oidem,
% 228.71/37.73 fact_times__divide__eq__right, fact_times__divide__times__eq,
% 228.71/37.73 fact_times__numeral__code_I5_J, fact_trans__le__add1, fact_trans__le__add2,
% 228.71/37.73 fact_trans__less__add1, fact_trans__less__add2, fact_uminus__apply,
% 228.71/37.73 fact_xt1_I10_J, fact_xt1_I11_J, fact_xt1_I12_J, fact_xt1_I1_J, fact_xt1_I2_J,
% 228.71/37.73 fact_xt1_I3_J, fact_xt1_I4_J, fact_xt1_I5_J, fact_xt1_I6_J, fact_xt1_I7_J,
% 228.71/37.73 fact_xt1_I8_J, fact_xt1_I9_J, fact_zadd__assoc, fact_zadd__commute,
% 228.71/37.73 fact_zadd__left__commute, fact_zadd__left__mono, fact_zadd__strict__right__mono,
% 228.71/37.73 fact_zadd__zless__mono, fact_zadd__zmult__distrib, fact_zadd__zmult__distrib2,
% 228.71/37.73 fact_zero__code__numeral__code,
% 228.71/37.73 fact_zero__le__double__add__iff__zero__le__single__add, fact_zero__le__power,
% 228.71/37.73 fact_zero__le__power__abs, fact_zero__le__square, fact_zero__less__divide__iff,
% 228.71/37.73 fact_zero__less__double__add__iff__zero__less__single__add,
% 228.71/37.73 fact_zero__less__mult__pos, fact_zero__less__mult__pos2, fact_zero__less__one,
% 228.71/37.73 fact_zero__less__power, fact_zero__less__two, fact_zero__neq__one,
% 228.71/37.73 fact_zero__reorient, fact_zle__add1__eq__le, fact_zle__antisym,
% 228.71/37.73 fact_zle__linear, fact_zle__refl, fact_zle__trans, fact_zless__add1__eq,
% 228.71/37.73 fact_zless__imp__add1__zle, fact_zless__le, fact_zless__linear,
% 228.71/37.73 fact_zminus__zadd__distrib, fact_zminus__zminus, fact_zmult__1,
% 228.71/37.73 fact_zmult__1__right, fact_zmult__assoc, fact_zmult__commute,
% 228.71/37.73 fact_zmult__zminus, fact_zpower__zadd__distrib, fact_zpower__zpower
% 228.71/37.73
% 228.71/37.73 Those formulas are unsatisfiable:
% 228.71/37.73 ---------------------------------
% 228.71/37.73
% 228.71/37.73 Begin of proof
% 228.71/37.74 |
% 228.71/37.74 | ALPHA: (fact_m_I1_J) implies:
% 228.71/37.74 | (1) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 228.71/37.74 | $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 228.71/37.74 | v_m____))
% 228.71/37.74 |
% 228.71/37.74 | ALPHA: (fact_H_I3_J) implies:
% 228.71/37.74 | (2) ? [v0: $i] : (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e,
% 228.71/37.74 | v_m____) = v0 & $i(v0) &
% 228.71/37.74 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_da____, v0))
% 228.71/37.74 |
% 228.71/37.74 | ALPHA: (fact_assms) implies:
% 228.71/37.74 | (3) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 228.71/37.74 | $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_e))
% 228.71/37.74 |
% 228.71/37.74 | ALPHA: (fact_H_I1_J) implies:
% 228.71/37.74 | (4) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 228.71/37.74 | $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 228.71/37.74 | v_da____))
% 228.71/37.74 |
% 228.71/37.74 | ALPHA: (fact_H_I2_J) implies:
% 228.71/37.74 | (5) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 228.71/37.74 | $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_da____,
% 228.71/37.74 | v0))
% 228.71/37.74 |
% 228.71/37.74 | ALPHA: (fact_dm_I2_J) implies:
% 228.71/37.74 | (6) ? [v0: $i] : ? [v1: $i] :
% 228.71/37.74 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v_d____) = v0 &
% 228.71/37.74 | hAPP(v0, v_m____) = v1 & $i(v1) & $i(v0) &
% 228.71/37.74 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v_e))
% 228.71/37.74 |
% 228.71/37.74 | ALPHA: (fact_d_I3_J) implies:
% 228.71/37.74 | (7) ? [v0: $i] : (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e,
% 228.71/37.74 | v_m____) = v0 & $i(v0) &
% 228.71/37.74 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_d____, v0))
% 228.71/37.74 |
% 228.71/37.74 | ALPHA: (fact_dm_I1_J) implies:
% 228.71/37.74 | (8) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.71/37.74 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v_d____) = v1 &
% 228.71/37.74 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & hAPP(v1,
% 228.71/37.74 | v_m____) = v2 & $i(v2) & $i(v1) & $i(v0) &
% 228.71/37.74 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2))
% 228.71/37.74 |
% 228.71/37.74 | ALPHA: (fact_em0) implies:
% 228.71/37.74 | (9) ? [v0: $i] : ? [v1: $i] :
% 228.71/37.74 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e, v_m____) = v1 &
% 228.71/37.74 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 228.71/37.74 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1))
% 228.71/37.74 |
% 228.71/37.74 | ALPHA: (fact_d_I1_J) implies:
% 228.71/37.74 | (10) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 228.71/37.74 | $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 228.71/37.74 | v_d____))
% 228.71/37.74 |
% 228.71/37.74 | ALPHA: (fact_d_I2_J) implies:
% 228.71/37.74 | (11) $i(v_d____)
% 228.71/37.74 | (12) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 228.71/37.74 | $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_d____,
% 228.71/37.74 | v0))
% 228.71/37.74 |
% 228.71/37.74 | ALPHA: (fact_one0) implies:
% 228.71/37.74 | (13) ? [v0: $i] : ? [v1: $i] :
% 228.71/37.74 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 228.71/37.74 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 228.71/37.74 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1))
% 228.71/37.74 |
% 228.71/37.74 | ALPHA: (fact_real__zero__not__eq__one) implies:
% 228.71/37.74 | (14) ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 228.71/37.74 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 228.71/37.74 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) &
% 228.71/37.74 | $i(v0))
% 228.71/37.74 |
% 228.71/37.74 | ALPHA: (fact_real__mult__1) implies:
% 228.71/37.74 | (15) ? [v0: $i] : ? [v1: $i] :
% 228.71/37.74 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0) = v1 &
% 228.71/37.74 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) &
% 228.71/37.74 | ! [v2: $i] : ! [v3: $i] : (v3 = v2 | ~ (hAPP(v1, v2) = v3) | ~
% 228.71/37.74 | $i(v2)))
% 228.71/37.74 |
% 228.71/37.74 | ALPHA: (fact_real__mult__left__cancel) implies:
% 228.71/37.74 | (16) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 228.71/37.74 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 228.71/37.74 | [v5: $i] : (v3 = v0 | v2 = v1 | ~
% 228.71/37.74 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3) = v4) | ~
% 228.71/37.74 | (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v5) | ~ $i(v3) | ~
% 228.71/37.74 | $i(v2) | ~ $i(v1)))
% 228.71/37.74 |
% 228.71/37.74 | ALPHA: (fact_real__mult__right__cancel) implies:
% 228.71/37.74 | (17) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 228.71/37.74 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 228.71/37.74 | [v5: $i] : ! [v6: $i] : (v3 = v0 | v2 = v1 | ~
% 228.71/37.74 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) = v4) | ~
% 228.71/37.74 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1) = v6) | ~
% 228.71/37.74 | (hAPP(v6, v3) = v5) | ~ (hAPP(v4, v3) = v5) | ~ $i(v3) | ~
% 228.71/37.74 | $i(v2) | ~ $i(v1)))
% 228.71/37.74 |
% 228.71/37.74 | ALPHA: (fact_real__mult__less__mono2) implies:
% 228.71/37.74 | (18) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 228.71/37.74 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 228.71/37.74 | [v5: $i] : ! [v6: $i] : ( ~
% 228.71/37.74 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3) = v4) | ~
% 228.71/37.74 | (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v6) | ~ $i(v3) | ~
% 228.71/37.74 | $i(v2) | ~ $i(v1) | ~
% 228.71/37.74 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v1) | ~
% 228.71/37.74 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) |
% 228.71/37.74 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v6)))
% 228.71/37.74 |
% 228.71/37.74 | ALPHA: (fact_real__mult__order) implies:
% 228.71/37.74 | (19) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 228.71/37.74 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 228.71/37.74 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) = v3) | ~
% 228.71/37.74 | (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 228.71/37.74 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) | ~
% 228.71/37.74 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) |
% 228.71/37.74 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4)))
% 228.71/37.74 |
% 228.71/37.74 | ALPHA: (fact_real__mult__less__iff1) implies:
% 228.71/37.74 | (20) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 228.71/37.74 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 228.71/37.74 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 228.71/37.74 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) = v4) | ~
% 228.71/37.74 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1) = v6) | ~
% 228.71/37.74 | (hAPP(v6, v3) = v7) | ~ (hAPP(v4, v3) = v5) | ~ $i(v3) | ~
% 228.71/37.74 | $i(v2) | ~ $i(v1) | ~
% 228.71/37.74 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v7) | ~
% 228.71/37.74 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) |
% 228.71/37.74 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v1)) & ! [v1:
% 228.71/37.74 | $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 228.71/37.74 | [v6: $i] : ! [v7: $i] : ( ~
% 228.71/37.74 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) = v4) | ~
% 228.71/37.74 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1) = v6) | ~
% 228.71/37.74 | (hAPP(v6, v3) = v7) | ~ (hAPP(v4, v3) = v5) | ~ $i(v3) | ~
% 228.71/37.74 | $i(v2) | ~ $i(v1) | ~
% 228.71/37.74 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v1) | ~
% 228.71/37.74 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) |
% 228.71/37.74 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v7)))
% 228.71/37.74 |
% 228.71/37.74 | ALPHA: (fact__096_B_Bthesis_O_A_I_B_Bd_O_A_091_124_A0_A_060_Ad_059_Ad_A_060_A1_059_Ad_A_060_Ae_A_P_Am_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096)
% 228.71/37.74 | implies:
% 228.71/37.74 | (21) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 228.71/37.74 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 228.71/37.74 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e, v_m____) = v2
% 228.71/37.74 | & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) &
% 228.71/37.74 | $i(v2) & $i(v1) & $i(v0) &
% 228.71/37.74 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2) &
% 228.71/37.74 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v1) &
% 228.71/37.74 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3))
% 228.71/37.74 |
% 228.71/37.74 | ALPHA: (fact_pos__less__divide__eq) implies:
% 228.71/37.74 | (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 228.71/37.74 | ! [v5: $i] : ! [v6: $i] : ( ~ (c_Groups_Otimes__class_Otimes(v3, v1)
% 228.71/37.74 | = v5) | ~ (c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v4) | ~
% 228.71/37.74 | (hAPP(v5, v2) = v6) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0)
% 228.71/37.74 | | ~ class_Fields_Olinordered__field(v3) | ~
% 228.71/37.74 | c_Orderings_Oord__class_Oless(v3, v1, v4) |
% 228.71/37.74 | c_Orderings_Oord__class_Oless(v3, v6, v0) | ? [v7: $i] :
% 228.71/37.74 | (c_Groups_Ozero__class_Ozero(v3) = v7 & $i(v7) & ~
% 228.71/37.74 | c_Orderings_Oord__class_Oless(v3, v7, v2)))
% 228.71/37.74 |
% 228.71/37.74 | ALPHA: (fact_not__real__square__gt__zero) implies:
% 228.71/37.74 | (23) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 228.71/37.74 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 228.71/37.74 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1) = v2) | ~
% 228.71/37.74 | (hAPP(v2, v1) = v3) | ~ $i(v1) |
% 228.71/37.74 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)) & ! [v1:
% 228.71/37.75 | $i] : ! [v2: $i] : ( ~
% 228.71/37.75 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0) = v1) | ~
% 228.71/37.75 | (hAPP(v1, v0) = v2) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2)))
% 228.71/37.75 |
% 228.71/37.75 | ALPHA: (fact_d1_I2_J) implies:
% 228.71/37.75 | (24) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 228.71/37.75 | $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 228.71/37.75 | v_da____))
% 228.71/37.75 |
% 228.71/37.75 | ALPHA: (fact_real__0__le__divide__iff) implies:
% 228.71/37.75 | (25) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 228.71/37.75 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 228.71/37.75 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1) = v3) |
% 228.71/37.75 | ~ $i(v2) | ~ $i(v1) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) |
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)) & !
% 228.71/37.75 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 228.71/37.75 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1) = v3) |
% 228.71/37.75 | ~ $i(v2) | ~ $i(v1) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) |
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)) & !
% 228.71/37.75 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 228.71/37.75 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1) = v3) |
% 228.71/37.75 | ~ $i(v2) | ~ $i(v1) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) |
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)) & !
% 228.71/37.75 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 228.71/37.75 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1) = v3) |
% 228.71/37.75 | ~ $i(v2) | ~ $i(v1) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) |
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) |
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1)) & !
% 228.71/37.75 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 228.71/37.75 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1) = v3) |
% 228.71/37.75 | ~ $i(v2) | ~ $i(v1) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) |
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) |
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2)) & !
% 228.71/37.75 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 228.71/37.75 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1) = v3) |
% 228.71/37.75 | ~ $i(v2) | ~ $i(v1) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) |
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)))
% 228.71/37.75 |
% 228.71/37.75 | ALPHA: (fact_real__mult__le__cancel__iff1) implies:
% 228.71/37.75 | (26) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 228.71/37.75 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 228.71/37.75 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 228.71/37.75 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) = v4) | ~
% 228.71/37.75 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1) = v6) | ~
% 228.71/37.75 | (hAPP(v6, v3) = v7) | ~ (hAPP(v4, v3) = v5) | ~ $i(v3) | ~
% 228.71/37.75 | $i(v2) | ~ $i(v1) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v7) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) |
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1)) & !
% 228.71/37.75 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 228.71/37.75 | ! [v6: $i] : ! [v7: $i] : ( ~
% 228.71/37.75 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) = v4) | ~
% 228.71/37.75 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1) = v6) | ~
% 228.71/37.75 | (hAPP(v6, v3) = v7) | ~ (hAPP(v4, v3) = v5) | ~ $i(v3) | ~
% 228.71/37.75 | $i(v2) | ~ $i(v1) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) |
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v7)))
% 228.71/37.75 |
% 228.71/37.75 | ALPHA: (fact_real__mult__le__cancel__iff2) implies:
% 228.71/37.75 | (27) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 228.71/37.75 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 228.71/37.75 | [v5: $i] : ! [v6: $i] : ( ~
% 228.71/37.75 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3) = v4) | ~
% 228.71/37.75 | (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v6) | ~ $i(v3) | ~
% 228.71/37.75 | $i(v2) | ~ $i(v1) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v6) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) |
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1)) & !
% 228.71/37.75 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 228.71/37.75 | ! [v6: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,
% 228.71/37.75 | v3) = v4) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v6) |
% 228.71/37.75 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) |
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v6)))
% 228.71/37.75 |
% 228.71/37.75 | ALPHA: (fact_order__le__less) implies:
% 228.71/37.75 | (28) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~
% 228.71/37.75 | $i(v0) | ~ class_Orderings_Oorder(v2) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(v2, v1, v0) |
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(v2, v1, v0))
% 228.71/37.75 |
% 228.71/37.75 | ALPHA: (fact_INVERSE__ZERO) implies:
% 228.71/37.75 | (29) ? [v0: $i] : (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v0)
% 228.71/37.75 | = v0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0))
% 228.71/37.75 |
% 228.71/37.75 | ALPHA: (fact_real__two__squares__add__zero__iff) implies:
% 228.71/37.75 | (30) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 228.71/37.75 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 228.71/37.75 | [v5: $i] : ! [v6: $i] : (v2 = v0 | ~
% 228.71/37.75 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v6) = v0) | ~
% 228.71/37.75 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) = v3) | ~
% 228.71/37.75 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1) = v5) | ~
% 228.71/37.75 | (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v2) = v4) | ~ $i(v2) | ~
% 228.71/37.75 | $i(v1)) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 228.71/37.75 | ! [v5: $i] : ! [v6: $i] : (v1 = v0 | ~
% 228.71/37.75 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v6) = v0) | ~
% 228.71/37.75 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) = v3) | ~
% 228.71/37.75 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1) = v5) | ~
% 228.71/37.75 | (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v2) = v4) | ~ $i(v2) | ~
% 228.71/37.75 | $i(v1)) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 228.71/37.75 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v2) = v3) | ~
% 228.71/37.75 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0) = v1) | ~
% 228.71/37.75 | (hAPP(v1, v0) = v2)))
% 228.71/37.75 |
% 228.71/37.75 | ALPHA: (fact_real__mult__inverse__left) implies:
% 228.71/37.75 | (31) ? [v0: $i] : ? [v1: $i] :
% 228.71/37.75 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 228.71/37.75 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 228.71/37.75 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v1 |
% 228.71/37.75 | v2 = v0 | ~ (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,
% 228.71/37.75 | v2) = v3) | ~
% 228.71/37.75 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3) = v4) | ~
% 228.71/37.75 | (hAPP(v4, v2) = v5) | ~ $i(v2)))
% 228.71/37.75 |
% 228.71/37.75 | ALPHA: (fact_real__sgn__pos) implies:
% 228.71/37.75 | (32) ? [v0: $i] : ? [v1: $i] :
% 228.71/37.75 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 228.71/37.75 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 228.71/37.75 | & ! [v2: $i] : ! [v3: $i] : (v3 = v1 | ~
% 228.71/37.75 | (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v2) = v3) | ~ $i(v2)
% 228.71/37.75 | | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2)))
% 228.71/37.75 |
% 228.71/37.75 | ALPHA: (fact_real__mult__inverse__cancel2) implies:
% 228.71/37.75 | (33) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 228.71/37.75 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 228.71/37.75 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] :
% 228.71/37.75 | ! [v10: $i] : ( ~
% 228.71/37.75 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v4) = v6) | ~
% 228.71/37.75 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v3) = v9) | ~
% 228.71/37.75 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) = v5) | ~
% 228.71/37.75 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1) = v8) | ~
% 228.71/37.75 | (hAPP(v8, v9) = v10) | ~ (hAPP(v5, v6) = v7) | ~ $i(v4) | ~
% 228.71/37.75 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) |
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v10) | ?
% 228.71/37.75 | [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 228.71/37.75 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v4) = v13 &
% 228.71/37.75 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3) = v11 &
% 228.71/37.75 | hAPP(v13, v1) = v14 & hAPP(v11, v2) = v12 & $i(v14) & $i(v13) &
% 228.71/37.75 | $i(v12) & $i(v11) & ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v14))))
% 228.71/37.75 |
% 228.71/37.75 | ALPHA: (fact_real__mult__inverse__cancel) implies:
% 228.71/37.75 | (34) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 228.71/37.75 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 228.71/37.75 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] :
% 228.71/37.75 | ! [v10: $i] : ( ~
% 228.71/37.75 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v4) = v5) | ~
% 228.71/37.75 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v3) = v8) | ~
% 228.71/37.75 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v8) = v9) | ~
% 228.71/37.75 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v5) = v6) | ~
% 228.71/37.75 | (hAPP(v9, v1) = v10) | ~ (hAPP(v6, v2) = v7) | ~ $i(v4) | ~
% 228.71/37.75 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) |
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v10) | ?
% 228.71/37.75 | [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 228.71/37.75 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v4) = v13 &
% 228.71/37.75 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3) = v11 &
% 228.71/37.75 | hAPP(v13, v1) = v14 & hAPP(v11, v2) = v12 & $i(v14) & $i(v13) &
% 228.71/37.75 | $i(v12) & $i(v11) & ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v14))))
% 228.71/37.75 |
% 228.71/37.75 | ALPHA: (fact_ln__add__one__self__le__self) implies:
% 228.71/37.75 | (35) ? [v0: $i] : ? [v1: $i] :
% 228.71/37.75 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 228.71/37.75 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 228.71/37.75 | & ! [v2: $i] : ! [v3: $i] : ( ~
% 228.71/37.75 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v2) = v3) | ~
% 228.71/37.75 | $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 228.71/37.75 | v0, v2) | ? [v4: $i] : (hAPP(c_Transcendental_Oln, v3) = v4 &
% 228.71/37.75 | $i(v4) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4,
% 228.71/37.75 | v2))))
% 228.71/37.75 |
% 228.71/37.75 | ALPHA: (fact_ln__mult) implies:
% 228.71/37.75 | (36) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 228.71/37.75 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 228.71/37.75 | [v5: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3,
% 228.71/37.75 | v4) = v5) | ~ (hAPP(c_Transcendental_Oln, v2) = v3) | ~
% 228.71/37.75 | (hAPP(c_Transcendental_Oln, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) | ? [v6:
% 228.71/37.75 | $i] : ? [v7: $i] :
% 228.71/37.75 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) = v6 &
% 228.71/37.75 | hAPP(v6, v1) = v7 & hAPP(c_Transcendental_Oln, v7) = v5 & $i(v7)
% 228.71/37.75 | & $i(v6) & $i(v5))))
% 228.71/37.75 |
% 228.71/37.75 | ALPHA: (fact_ln__less__cancel__iff) implies:
% 228.71/37.75 | (37) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 228.71/37.75 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 228.71/37.75 | (hAPP(c_Transcendental_Oln, v2) = v3) | ~
% 228.71/37.75 | (hAPP(c_Transcendental_Oln, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v4) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) |
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v1)) & ! [v1:
% 228.71/37.75 | $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 228.71/37.75 | (hAPP(c_Transcendental_Oln, v2) = v3) | ~
% 228.71/37.75 | (hAPP(c_Transcendental_Oln, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v1) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) |
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v4)))
% 228.71/37.75 |
% 228.71/37.75 | ALPHA: (fact_ln__inj__iff) implies:
% 228.71/37.75 | (38) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 228.71/37.75 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v2 = v1 | ~
% 228.71/37.75 | (hAPP(c_Transcendental_Oln, v2) = v3) | ~
% 228.71/37.75 | (hAPP(c_Transcendental_Oln, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1)))
% 228.71/37.75 |
% 228.71/37.75 | ALPHA: (fact_ln__less__self) implies:
% 228.71/37.75 | (39) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 228.71/37.75 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (hAPP(c_Transcendental_Oln,
% 228.71/37.75 | v1) = v2) | ~ $i(v1) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) |
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v1)))
% 228.71/37.75 |
% 228.71/37.75 | ALPHA: (fact_ln__one) implies:
% 228.71/37.75 | (40) ? [v0: $i] : ? [v1: $i] :
% 228.71/37.75 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 228.71/37.75 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 228.71/37.75 | hAPP(c_Transcendental_Oln, v0) = v1 & $i(v1) & $i(v0))
% 228.71/37.75 |
% 228.71/37.75 | ALPHA: (fact_ln__le__cancel__iff) implies:
% 228.71/37.75 | (41) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 228.71/37.75 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 228.71/37.75 | (hAPP(c_Transcendental_Oln, v2) = v3) | ~
% 228.71/37.75 | (hAPP(c_Transcendental_Oln, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v4) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) |
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1)) & !
% 228.71/37.75 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 228.71/37.75 | (hAPP(c_Transcendental_Oln, v2) = v3) | ~
% 228.71/37.75 | (hAPP(c_Transcendental_Oln, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) |
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v4)))
% 228.71/37.75 |
% 228.71/37.75 | ALPHA: (fact_ln__ge__zero) implies:
% 228.71/37.75 | (42) ? [v0: $i] : ? [v1: $i] :
% 228.71/37.75 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 228.71/37.75 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0)
% 228.71/37.75 | & ! [v2: $i] : ! [v3: $i] : ( ~ (hAPP(c_Transcendental_Oln, v2) =
% 228.71/37.75 | v3) | ~ $i(v2) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) |
% 228.71/37.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v3)))
% 228.71/37.75 |
% 228.71/37.75 | ALPHA: (fact_ln__gt__zero__imp__gt__one) implies:
% 228.71/37.75 | (43) ? [v0: $i] : ? [v1: $i] :
% 228.71/37.75 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 228.71/37.75 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 228.71/37.75 | & ! [v2: $i] : ! [v3: $i] : ( ~ (hAPP(c_Transcendental_Oln, v2) =
% 228.71/37.75 | v3) | ~ $i(v2) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2)))
% 228.71/37.75 |
% 228.71/37.75 | ALPHA: (fact_ln__less__zero) implies:
% 228.71/37.75 | (44) ? [v0: $i] : ? [v1: $i] :
% 228.71/37.75 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 228.71/37.75 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 228.71/37.75 | & ! [v2: $i] : ! [v3: $i] : ( ~ (hAPP(c_Transcendental_Oln, v2) =
% 228.71/37.75 | v3) | ~ $i(v2) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v1) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0)))
% 228.71/37.75 |
% 228.71/37.75 | ALPHA: (fact_ln__less__zero__iff) implies:
% 228.71/37.75 | (45) ? [v0: $i] : ? [v1: $i] :
% 228.71/37.75 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 228.71/37.75 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 228.71/37.75 | & ! [v2: $i] : ! [v3: $i] : ( ~ (hAPP(c_Transcendental_Oln, v2) =
% 228.71/37.75 | v3) | ~ $i(v2) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v1)) & ! [v2:
% 228.71/37.75 | $i] : ! [v3: $i] : ( ~ (hAPP(c_Transcendental_Oln, v2) = v3) | ~
% 228.71/37.75 | $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2,
% 228.71/37.75 | v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2)
% 228.71/37.75 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0)))
% 228.71/37.75 |
% 228.71/37.75 | ALPHA: (fact_ln__eq__zero__iff) implies:
% 228.71/37.75 | (46) ? [v0: $i] : ? [v1: $i] :
% 228.71/37.75 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 228.71/37.75 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 228.71/37.75 | & ! [v2: $i] : (v2 = v1 | ~ (hAPP(c_Transcendental_Oln, v2) = v0)
% 228.71/37.75 | | ~ $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 228.71/37.75 | v0, v2)) & ! [v2: $i] : (v2 = v0 | ~
% 228.71/37.75 | (hAPP(c_Transcendental_Oln, v1) = v2) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1)))
% 228.71/37.75 |
% 228.71/37.75 | ALPHA: (fact_ln__gt__zero__iff) implies:
% 228.71/37.75 | (47) ? [v0: $i] : ? [v1: $i] :
% 228.71/37.75 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 228.71/37.75 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 228.71/37.75 | & ! [v2: $i] : ! [v3: $i] : ( ~ (hAPP(c_Transcendental_Oln, v2) =
% 228.71/37.75 | v3) | ~ $i(v2) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)) & ! [v2:
% 228.71/37.75 | $i] : ! [v3: $i] : ( ~ (hAPP(c_Transcendental_Oln, v2) = v3) | ~
% 228.71/37.75 | $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 228.71/37.75 | v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2)
% 228.71/37.75 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2)))
% 228.71/37.75 |
% 228.71/37.75 | ALPHA: (fact_ln__gt__zero) implies:
% 228.71/37.75 | (48) ? [v0: $i] : ? [v1: $i] :
% 228.71/37.75 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 228.71/37.75 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0)
% 228.71/37.75 | & ! [v2: $i] : ! [v3: $i] : ( ~ (hAPP(c_Transcendental_Oln, v2) =
% 228.71/37.75 | v3) | ~ $i(v2) | ~
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 228.71/37.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v3)))
% 228.71/37.75 |
% 228.71/37.75 | ALPHA: (fact_ln__ge__zero__imp__ge__one) implies:
% 228.71/37.76 | (49) ? [v0: $i] : ? [v1: $i] :
% 228.71/37.76 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 228.71/37.76 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 228.71/37.76 | & ! [v2: $i] : ! [v3: $i] : ( ~ (hAPP(c_Transcendental_Oln, v2) =
% 228.71/37.76 | v3) | ~ $i(v2) | ~
% 228.71/37.76 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) | ~
% 228.71/37.76 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 228.71/37.76 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v2)))
% 228.71/37.76 |
% 228.71/37.76 | ALPHA: (fact_ln__ge__zero__iff) implies:
% 228.71/37.76 | (50) ? [v0: $i] : ? [v1: $i] :
% 228.71/37.76 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 228.71/37.76 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 228.71/37.76 | & ! [v2: $i] : ! [v3: $i] : ( ~ (hAPP(c_Transcendental_Oln, v2) =
% 228.71/37.76 | v3) | ~ $i(v2) | ~
% 228.71/37.76 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v2) | ~
% 228.71/37.76 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 228.71/37.76 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)) & !
% 228.71/37.76 | [v2: $i] : ! [v3: $i] : ( ~ (hAPP(c_Transcendental_Oln, v2) = v3) |
% 228.71/37.76 | ~ $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 228.71/37.76 | v0, v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 228.71/37.76 | v2) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 228.71/37.76 | v2)))
% 228.71/37.76 |
% 228.71/37.76 | ALPHA: (fact_DERIV__ln__divide) implies:
% 228.71/37.76 | (51) ? [v0: $i] : ? [v1: $i] :
% 228.71/37.76 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 228.71/37.76 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 228.71/37.76 | & ! [v2: $i] : ! [v3: $i] : ( ~
% 228.71/37.76 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v2) = v3) |
% 228.71/37.76 | ~ $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 228.71/37.76 | v2) | c_Deriv_Oderiv(tc_RealDef_Oreal, c_Transcendental_Oln, v2,
% 228.71/37.76 | v3)))
% 228.71/37.76 |
% 228.71/37.76 | ALPHA: (fact_DERIV__ln) implies:
% 228.71/37.76 | (52) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 228.71/37.76 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 228.71/37.76 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v1) = v2) | ~
% 228.71/37.76 | $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 228.71/37.76 | v1) | c_Deriv_Oderiv(tc_RealDef_Oreal, c_Transcendental_Oln, v1,
% 228.71/37.76 | v2)))
% 228.71/37.76 |
% 228.71/37.76 | ALPHA: (fact_sgn__real__def) implies:
% 228.71/37.76 | (53) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.71/37.76 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2 &
% 228.71/37.76 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 228.71/37.76 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v2) & $i(v1)
% 228.71/37.76 | & $i(v0) & ! [v3: $i] : ! [v4: $i] : (v4 = v2 | v3 = v0 | ~
% 228.71/37.76 | (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v3) = v4) | ~ $i(v3)
% 228.71/37.76 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)) & !
% 228.71/37.76 | [v3: $i] : ! [v4: $i] : (v4 = v1 | v3 = v0 | ~
% 228.71/37.76 | (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v3) = v4) | ~ $i(v3)
% 228.71/37.76 | | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)) & !
% 228.71/37.76 | [v3: $i] : (v3 = v0 | ~
% 228.71/37.76 | (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v0) = v3)))
% 228.71/37.76 |
% 228.71/37.76 | ALPHA: (fact_exp__ge__add__one__self__aux) implies:
% 228.71/37.76 | (54) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.71/37.76 | (c_Transcendental_Oexp(tc_RealDef_Oreal) = v2 &
% 228.71/37.76 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 228.71/37.76 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v2) & $i(v1)
% 228.71/37.76 | & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 228.71/37.76 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v3) = v4) | ~
% 228.71/37.76 | $i(v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 228.71/37.76 | v0, v3) | ? [v5: $i] : (hAPP(v2, v3) = v5 & $i(v5) &
% 228.71/37.76 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5))))
% 228.71/37.76 |
% 228.71/37.76 | ALPHA: (fact_zmult__zless__mono2) implies:
% 228.71/37.76 | (55) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 228.71/37.76 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 228.71/37.76 | $i] : ! [v6: $i] : ( ~
% 228.71/37.76 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1) = v4) | ~
% 228.71/37.76 | (hAPP(v4, v3) = v5) | ~ (hAPP(v4, v2) = v6) | ~ $i(v3) | ~
% 228.71/37.76 | $i(v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 228.71/37.76 | v3, v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1)
% 228.71/37.76 | | c_Orderings_Oord__class_Oless(tc_Int_Oint, v5, v6)))
% 228.71/37.76 |
% 228.71/37.76 | ALPHA: (fact_pos__zmult__eq__1__iff) implies:
% 228.71/37.76 | (56) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) =
% 228.71/37.76 | v1 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0)
% 228.71/37.76 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v1 | ~
% 228.71/37.76 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v3) = v4) | ~
% 228.71/37.76 | (hAPP(v4, v2) = v1) | ~ $i(v3) | ~ $i(v2) | ~
% 228.71/37.76 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3)) & ! [v2: $i]
% 228.71/37.76 | : ! [v3: $i] : ! [v4: $i] : (v2 = v1 | ~
% 228.71/37.76 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v3) = v4) | ~
% 228.71/37.76 | (hAPP(v4, v2) = v1) | ~ $i(v3) | ~ $i(v2) | ~
% 228.71/37.76 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3)) & ! [v2: $i]
% 228.71/37.76 | : ! [v3: $i] : (v3 = v1 | ~
% 228.71/37.76 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1) = v2) | ~
% 228.71/37.76 | (hAPP(v2, v1) = v3) | ~
% 228.71/37.76 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1)))
% 228.71/37.76 |
% 228.71/37.76 | ALPHA: (fact_int__0__less__1) implies:
% 228.71/37.76 | (57) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) =
% 228.71/37.76 | v1 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0)
% 228.71/37.76 | & c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1))
% 228.71/37.76 |
% 228.71/37.76 | ALPHA: (fact_odd__nonzero) implies:
% 228.71/37.76 | (58) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) =
% 228.71/37.76 | v0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v1 & $i(v1) & $i(v0)
% 228.71/37.76 | & ! [v2: $i] : ! [v3: $i] : ( ~
% 228.71/37.76 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v2) = v1) | ~
% 228.71/37.76 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v2) = v3) | ~
% 228.71/37.76 | $i(v2)))
% 228.71/37.76 |
% 228.71/37.76 | ALPHA: (fact_zadd__0) implies:
% 228.71/37.76 | (59) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 228.71/37.76 | & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 228.71/37.76 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v2) | ~
% 228.71/37.76 | $i(v1)))
% 228.71/37.76 |
% 228.71/37.76 | ALPHA: (fact_zadd__0__right) implies:
% 228.71/37.76 | (60) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 228.71/37.76 | & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 228.71/37.76 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~
% 228.71/37.76 | $i(v1)))
% 228.71/37.76 |
% 228.71/37.76 | ALPHA: (fact_odd__less__0) implies:
% 228.71/37.76 | (61) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) =
% 228.71/37.76 | v0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v1 & $i(v1) & $i(v0)
% 228.71/37.76 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 228.71/37.76 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v2) = v4) | ~
% 228.71/37.76 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v2) = v3) | ~
% 228.71/37.76 | $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v1) |
% 228.71/37.76 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1)) & ! [v2: $i]
% 228.71/37.76 | : ! [v3: $i] : ! [v4: $i] : ( ~
% 228.71/37.76 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v2) = v4) | ~
% 228.71/37.76 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v2) = v3) | ~
% 228.71/37.76 | $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) |
% 228.71/37.76 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v1)))
% 228.71/37.76 |
% 228.71/37.76 | ALPHA: (fact_int__one__le__iff__zero__less) implies:
% 228.71/37.76 | (62) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) =
% 228.71/37.76 | v0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v1 & $i(v1) & $i(v0)
% 228.71/37.76 | & ! [v2: $i] : ( ~ $i(v2) | ~
% 228.71/37.76 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) |
% 228.71/37.76 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2)) & ! [v2: $i]
% 228.71/37.76 | : ( ~ $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2)
% 228.71/37.76 | | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2)))
% 228.71/37.76 |
% 228.71/37.76 | ALPHA: (fact_le__imp__0__less) implies:
% 228.71/37.76 | (63) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) =
% 228.71/37.76 | v1 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0)
% 228.71/37.76 | & ! [v2: $i] : ! [v3: $i] : ( ~
% 228.71/37.76 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v2) = v3) | ~
% 228.71/37.76 | $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2)
% 228.71/37.76 | | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3)))
% 228.71/37.76 |
% 228.71/37.76 | ALPHA: (fact_real__add__eq__0__iff) implies:
% 228.71/37.76 | (64) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 228.71/37.76 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 228.71/37.76 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 228.71/37.76 | $i(v2) | ~ $i(v1) | ? [v4: $i] : ( ~ (v4 = v1) &
% 228.71/37.76 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v4 &
% 228.71/37.76 | $i(v4))) & ! [v1: $i] : ! [v2: $i] : ( ~
% 228.71/37.76 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v0) | ~
% 228.71/37.76 | $i(v2) | ~ $i(v1) |
% 228.71/37.76 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v1))
% 228.71/37.76 |
% 228.71/37.76 | ALPHA: (fact_real__add__minus__iff) implies:
% 228.71/37.76 | (65) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 228.71/37.76 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 228.71/37.76 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2) | ~
% 228.71/37.76 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v2) = v3) | ~
% 228.71/37.76 | $i(v1)) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v2 = v1 | ~
% 228.71/37.76 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3) | ~
% 228.71/37.76 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) = v0) | ~
% 228.71/37.76 | $i(v2) | ~ $i(v1)))
% 228.71/37.76 |
% 228.71/37.76 | ALPHA: (fact_exp__ge__zero) implies:
% 228.71/37.76 | (66) ? [v0: $i] : ? [v1: $i] : (c_Transcendental_Oexp(tc_RealDef_Oreal) =
% 228.71/37.76 | v1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) &
% 228.71/37.76 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~ (hAPP(v1, v2) = v3) | ~
% 228.71/37.76 | $i(v2) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 228.71/37.76 | v3)))
% 228.71/37.76 |
% 228.71/37.76 | ALPHA: (fact_not__exp__le__zero) implies:
% 228.71/37.76 | (67) ? [v0: $i] : ? [v1: $i] : (c_Transcendental_Oexp(tc_RealDef_Oreal) =
% 228.71/37.76 | v0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) &
% 228.71/37.76 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~ (hAPP(v0, v2) = v3) | ~
% 228.71/37.76 | $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 228.71/37.76 | v3, v1)))
% 228.71/37.76 |
% 228.71/37.76 | ALPHA: (fact_exp__gt__zero) implies:
% 228.71/37.76 | (68) ? [v0: $i] : ? [v1: $i] : (c_Transcendental_Oexp(tc_RealDef_Oreal) =
% 228.71/37.76 | v1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) &
% 228.71/37.76 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~ (hAPP(v1, v2) = v3) | ~
% 228.71/37.76 | $i(v2) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)))
% 228.71/37.76 |
% 228.71/37.76 | ALPHA: (fact_not__exp__less__zero) implies:
% 228.71/37.76 | (69) ? [v0: $i] : ? [v1: $i] : (c_Transcendental_Oexp(tc_RealDef_Oreal) =
% 228.71/37.76 | v0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) &
% 228.71/37.76 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~ (hAPP(v0, v2) = v3) | ~
% 228.71/37.76 | $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3,
% 228.71/37.76 | v1)))
% 228.71/37.76 |
% 228.71/37.76 | ALPHA: (fact_exp__eq__one__iff) implies:
% 228.71/37.76 | (70) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.71/37.76 | (c_Transcendental_Oexp(tc_RealDef_Oreal) = v0 &
% 228.71/37.76 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 228.71/37.76 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v2 & $i(v2) & $i(v1)
% 228.71/37.76 | & $i(v0) & ! [v3: $i] : (v3 = v2 | ~ (hAPP(v0, v3) = v1) | ~
% 228.71/37.76 | $i(v3)) & ! [v3: $i] : (v3 = v1 | ~ (hAPP(v0, v2) = v3)))
% 228.71/37.76 |
% 228.71/37.76 | ALPHA: (fact_real__add__le__0__iff) implies:
% 228.71/37.76 | (71) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 228.71/37.76 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 228.71/37.76 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 228.71/37.76 | $i(v2) | ~ $i(v1) | ~
% 228.71/37.76 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) | ?
% 228.71/37.76 | [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2)
% 228.71/37.76 | = v4 & $i(v4) &
% 228.71/37.76 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v4))) &
% 228.71/37.76 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 228.71/37.76 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 228.71/37.76 | $i(v2) | ~ $i(v1) |
% 228.71/37.76 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) | ?
% 228.71/37.76 | [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2)
% 228.71/37.76 | = v4 & $i(v4) & ~
% 228.71/37.76 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v4))))
% 228.71/37.76 |
% 228.71/37.76 | ALPHA: (fact_real__0__le__add__iff) implies:
% 228.71/37.76 | (72) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 228.71/37.76 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 228.71/37.76 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 228.71/37.76 | $i(v2) | ~ $i(v1) | ~
% 228.71/37.76 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) | ?
% 228.71/37.76 | [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2)
% 228.71/37.76 | = v4 & $i(v4) &
% 228.71/37.76 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v1))) &
% 228.71/37.76 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 228.71/37.76 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 228.71/37.76 | $i(v2) | ~ $i(v1) |
% 228.71/37.76 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) | ?
% 228.71/37.76 | [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2)
% 228.71/37.76 | = v4 & $i(v4) & ~
% 228.71/37.76 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v1))))
% 228.71/37.76 |
% 228.71/37.76 | ALPHA: (fact_real__add__less__0__iff) implies:
% 228.71/37.76 | (73) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 228.71/37.76 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 228.71/37.76 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 228.71/37.76 | $i(v2) | ~ $i(v1) | ~
% 228.71/37.76 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0) | ? [v4:
% 228.71/37.76 | $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) =
% 228.71/37.76 | v4 & $i(v4) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 228.71/37.76 | v1, v4))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 228.71/37.76 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 228.71/37.76 | $i(v2) | ~ $i(v1) |
% 228.71/37.76 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0) | ? [v4:
% 228.71/37.76 | $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) =
% 228.71/37.76 | v4 & $i(v4) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 228.71/37.76 | v1, v4))))
% 228.71/37.76 |
% 228.71/37.76 | ALPHA: (fact_real__0__less__add__iff) implies:
% 228.71/37.76 | (74) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 228.71/37.76 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 228.71/37.76 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 228.71/37.76 | $i(v2) | ~ $i(v1) | ~
% 228.71/37.76 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | ? [v4:
% 228.71/37.76 | $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) =
% 228.71/37.76 | v4 & $i(v4) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 228.71/37.76 | v4, v1))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 228.71/37.76 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 228.71/37.76 | $i(v2) | ~ $i(v1) |
% 228.71/37.76 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | ? [v4:
% 228.71/37.76 | $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) =
% 228.71/37.76 | v4 & $i(v4) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 228.71/37.76 | v4, v1))))
% 228.71/37.76 |
% 228.71/37.76 | ALPHA: (fact_exp__le__one__iff) implies:
% 228.71/37.76 | (75) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.71/37.76 | (c_Transcendental_Oexp(tc_RealDef_Oreal) = v0 &
% 228.71/37.76 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 228.71/37.76 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v2 & $i(v2) & $i(v1)
% 228.71/37.76 | & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~ (hAPP(v0, v3) = v4) | ~
% 228.71/37.76 | $i(v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 228.71/37.76 | v4, v1) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 228.71/37.76 | v3, v2)) & ! [v3: $i] : ! [v4: $i] : ( ~ (hAPP(v0, v3) = v4) |
% 228.71/37.76 | ~ $i(v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 228.71/37.76 | v3, v2) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 228.71/37.76 | v4, v1)))
% 228.71/37.76 |
% 228.71/37.76 | ALPHA: (fact_one__le__exp__iff) implies:
% 228.71/37.76 | (76) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.71/37.76 | (c_Transcendental_Oexp(tc_RealDef_Oreal) = v1 &
% 228.71/37.76 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 228.71/37.76 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v2 & $i(v2) & $i(v1)
% 228.71/37.76 | & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~ (hAPP(v1, v3) = v4) | ~
% 228.71/37.76 | $i(v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 228.71/37.76 | v2, v3) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 228.71/37.76 | v0, v4)) & ! [v3: $i] : ! [v4: $i] : ( ~ (hAPP(v1, v3) = v4) |
% 228.71/37.76 | ~ $i(v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 228.71/37.76 | v0, v4) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 228.71/37.76 | v2, v3)))
% 228.71/37.76 |
% 228.71/37.76 | ALPHA: (fact_exp__gt__one) implies:
% 228.71/37.77 | (77) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.71/37.77 | (c_Transcendental_Oexp(tc_RealDef_Oreal) = v2 &
% 228.71/37.77 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 228.71/37.77 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v2) & $i(v1)
% 228.71/37.77 | & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~ (hAPP(v2, v3) = v4) | ~
% 228.71/37.77 | $i(v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 228.71/37.77 | v3) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v4)))
% 228.71/37.77 |
% 228.71/37.77 | ALPHA: (fact_exp__less__one__iff) implies:
% 228.71/37.77 | (78) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.71/37.77 | (c_Transcendental_Oexp(tc_RealDef_Oreal) = v0 &
% 228.71/37.77 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 228.71/37.77 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v2 & $i(v2) & $i(v1)
% 228.71/37.77 | & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~ (hAPP(v0, v3) = v4) | ~
% 228.71/37.77 | $i(v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4,
% 228.71/37.77 | v1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2)) &
% 228.71/37.77 | ! [v3: $i] : ! [v4: $i] : ( ~ (hAPP(v0, v3) = v4) | ~ $i(v3) | ~
% 228.71/37.77 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2) |
% 228.71/37.77 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v1)))
% 228.71/37.77 |
% 228.71/37.77 | ALPHA: (fact_one__less__exp__iff) implies:
% 228.71/37.77 | (79) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 228.71/37.77 | (c_Transcendental_Oexp(tc_RealDef_Oreal) = v1 &
% 228.71/37.77 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 228.71/37.77 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v2 & $i(v2) & $i(v1)
% 228.71/37.77 | & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~ (hAPP(v1, v3) = v4) | ~
% 228.71/37.77 | $i(v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2,
% 228.71/37.77 | v3) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4)) &
% 228.71/37.77 | ! [v3: $i] : ! [v4: $i] : ( ~ (hAPP(v1, v3) = v4) | ~ $i(v3) | ~
% 228.71/37.77 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 228.71/37.77 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v3)))
% 228.71/37.77 |
% 228.71/37.77 | ALPHA: (fact_exp__ln) implies:
% 228.71/37.77 | (80) ? [v0: $i] : ? [v1: $i] : (c_Transcendental_Oexp(tc_RealDef_Oreal) =
% 228.71/37.77 | v1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) &
% 228.71/37.77 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~ (hAPP(c_Transcendental_Oln,
% 228.71/37.77 | v2) = v3) | ~ $i(v2) | ~
% 228.71/37.77 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) | hAPP(v1,
% 228.71/37.77 | v3) = v2))
% 228.71/37.77 |
% 228.71/37.77 | ALPHA: (fact_exp__ln__iff) implies:
% 228.71/37.77 | (81) ? [v0: $i] : ? [v1: $i] : (c_Transcendental_Oexp(tc_RealDef_Oreal) =
% 228.71/37.77 | v0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) &
% 228.71/37.77 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~ (hAPP(c_Transcendental_Oln,
% 228.71/37.77 | v2) = v3) | ~ $i(v2) | ~
% 228.71/37.77 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) | hAPP(v0,
% 228.71/37.77 | v3) = v2) & ! [v2: $i] : ! [v3: $i] : ( ~
% 228.71/37.77 | (hAPP(c_Transcendental_Oln, v2) = v3) | ~ $i(v2) |
% 228.71/37.77 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) | ? [v4:
% 228.71/37.77 | $i] : ( ~ (v4 = v2) & hAPP(v0, v3) = v4 & $i(v4))))
% 228.71/37.77 |
% 228.71/37.77 | ALPHA: (fact_ln__inverse) implies:
% 228.71/37.77 | (82) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 228.71/37.77 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (hAPP(c_Transcendental_Oln,
% 228.71/37.77 | v1) = v2) | ~ $i(v1) | ~
% 228.71/37.77 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) | ? [v3:
% 228.71/37.77 | $i] : ? [v4: $i] :
% 228.71/37.77 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v4 &
% 228.71/37.77 | c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v1) = v3 &
% 228.71/37.77 | hAPP(c_Transcendental_Oln, v3) = v4 & $i(v4) & $i(v3))))
% 228.71/37.77 |
% 228.71/37.77 | ALPHA: (fact_zdiv__mono2__neg__lemma) implies:
% 228.71/37.77 | (83) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 228.71/37.77 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 228.71/37.77 | $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : !
% 228.71/37.77 | [v10: $i] : ! [v11: $i] : ( ~
% 228.71/37.77 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v11, v1) = v9) | ~
% 228.71/37.77 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v8, v4) = v9) | ~
% 228.71/37.77 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v6) = v7) | ~
% 228.71/37.77 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v3) = v10) | ~
% 228.71/37.77 | (hAPP(v10, v2) = v11) | ~ (hAPP(v7, v5) = v8) | ~ $i(v6) | ~
% 228.71/37.77 | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 228.71/37.77 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v6) | ~
% 228.71/37.77 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) | ~
% 228.71/37.77 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v9, v0) | ~
% 228.71/37.77 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v6) | ~
% 228.71/37.77 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) |
% 228.71/37.77 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v5)))
% 228.71/37.77 |
% 228.71/37.77 | ALPHA: (fact_unique__quotient__lemma__neg) implies:
% 228.71/37.77 | (84) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 228.71/37.77 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 228.71/37.77 | $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : !
% 228.71/37.77 | [v10: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v9, v1) =
% 228.71/37.77 | v10) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v3) =
% 228.71/37.77 | v8) | ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v5) = v6) |
% 228.71/37.77 | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(v6, v2) = v9) | ~ $i(v5) | ~
% 228.71/37.77 | $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 228.71/37.77 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v8, v10) | ~
% 228.71/37.77 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | ~
% 228.71/37.77 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v5, v3) | ~
% 228.71/37.77 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v5, v1) |
% 228.71/37.77 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v4)))
% 228.71/37.77 |
% 228.71/37.77 | ALPHA: (fact_zdiv__mono2__lemma) implies:
% 228.71/37.77 | (85) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 228.71/37.77 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 228.71/37.77 | $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : !
% 228.71/37.77 | [v10: $i] : ! [v11: $i] : ( ~
% 228.71/37.77 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v11, v1) = v9) | ~
% 228.71/37.77 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v8, v4) = v9) | ~
% 228.71/37.77 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v6) = v7) | ~
% 228.71/37.77 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v3) = v10) | ~
% 228.71/37.77 | (hAPP(v10, v2) = v11) | ~ (hAPP(v7, v5) = v8) | ~ $i(v6) | ~
% 228.71/37.77 | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 228.71/37.77 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v6) | ~
% 228.71/37.77 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v9) | ~
% 228.71/37.77 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v4) | ~
% 228.71/37.77 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v3) | ~
% 228.71/37.77 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) |
% 228.71/37.77 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v5, v2)))
% 228.71/37.77 |
% 228.71/37.77 | ALPHA: (fact_unique__quotient__lemma) implies:
% 228.71/37.77 | (86) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 228.71/37.77 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 228.71/37.77 | $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : !
% 228.71/37.77 | [v10: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v9, v1) =
% 228.71/37.77 | v10) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v3) =
% 228.71/37.77 | v8) | ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v5) = v6) |
% 228.71/37.77 | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(v6, v2) = v9) | ~ $i(v5) | ~
% 228.71/37.77 | $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 228.71/37.77 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v8, v10) | ~
% 228.71/37.77 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3) | ~
% 228.71/37.77 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v5) | ~
% 228.71/37.77 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v5) |
% 228.71/37.77 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v4, v2)))
% 228.71/37.77 |
% 228.71/37.77 | ALPHA: (fact_zminus__0) implies:
% 228.71/37.77 | (87) ? [v0: $i] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v0 &
% 228.71/37.77 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0))
% 229.06/37.77 |
% 229.06/37.77 | ALPHA: (fact_zsgn__def) implies:
% 229.06/37.77 | (88) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 229.06/37.77 | (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2 &
% 229.06/37.77 | c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 &
% 229.06/37.77 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v2) & $i(v1) &
% 229.06/37.77 | $i(v0) & ! [v3: $i] : ! [v4: $i] : (v4 = v2 | v3 = v0 | ~
% 229.06/37.77 | (c_Groups_Osgn__class_Osgn(tc_Int_Oint, v3) = v4) | ~ $i(v3) |
% 229.06/37.77 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3)) & ! [v3: $i]
% 229.06/37.77 | : ! [v4: $i] : (v4 = v1 | v3 = v0 | ~
% 229.06/37.77 | (c_Groups_Osgn__class_Osgn(tc_Int_Oint, v3) = v4) | ~ $i(v3) | ~
% 229.06/37.77 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3)) & ! [v3: $i]
% 229.06/37.77 | : (v3 = v0 | ~ (c_Groups_Osgn__class_Osgn(tc_Int_Oint, v0) = v3)))
% 229.06/37.77 |
% 229.06/37.77 | ALPHA: (fact_zadd__zminus__inverse2) implies:
% 229.06/37.77 | (89) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 229.06/37.77 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 229.06/37.77 | (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2) | ~
% 229.06/37.77 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v3) | ~
% 229.06/37.77 | $i(v1)))
% 229.06/37.77 |
% 229.06/37.77 | ALPHA: (fact_int__0__neq__1) implies:
% 229.06/37.77 | (90) ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 229.06/37.77 | c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 &
% 229.06/37.77 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0))
% 229.06/37.77 |
% 229.06/37.77 | ALPHA: (fact_number__of__is__id) implies:
% 229.06/37.77 | (91) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 229.06/37.77 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v1) | ~
% 229.06/37.77 | $i(v0))
% 229.06/37.77 |
% 229.06/37.77 | ALPHA: (fact_self__quotient__aux2) implies:
% 229.06/37.77 | (92) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) =
% 229.06/37.77 | v1 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0)
% 229.06/37.77 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 229.06/37.77 | $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v6) = v4)
% 229.06/37.77 | | ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v4) = v5) | ~
% 229.06/37.77 | (hAPP(v5, v2) = v6) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 229.06/37.77 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3) | ~
% 229.06/37.77 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v4) |
% 229.06/37.77 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1)))
% 229.06/37.77 |
% 229.06/37.77 | ALPHA: (fact_self__quotient__aux1) implies:
% 229.06/37.77 | (93) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) =
% 229.06/37.77 | v1 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0)
% 229.06/37.77 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 229.06/37.77 | $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v6) = v4)
% 229.06/37.77 | | ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v4) = v5) | ~
% 229.06/37.77 | (hAPP(v5, v2) = v6) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 229.06/37.77 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v4) | ~
% 229.06/37.77 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v4) |
% 229.06/37.77 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v2)))
% 229.06/37.77 |
% 229.06/37.77 | ALPHA: (fact_q__pos__lemma) implies:
% 229.06/37.77 | (94) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 229.06/37.77 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 229.06/37.77 | $i] : ! [v6: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint,
% 229.06/37.77 | v5, v1) = v6) | ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint,
% 229.06/37.77 | v3) = v4) | ~ (hAPP(v4, v2) = v5) | ~ $i(v3) | ~ $i(v2) |
% 229.06/37.77 | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0,
% 229.06/37.77 | v6) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v3) | ~
% 229.06/37.77 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) |
% 229.06/37.77 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2)))
% 229.06/37.77 |
% 229.06/37.77 | ALPHA: (fact_q__neg__lemma) implies:
% 229.06/37.77 | (95) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 229.06/37.77 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 229.06/37.77 | $i] : ! [v6: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint,
% 229.06/37.77 | v5, v1) = v6) | ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint,
% 229.06/37.77 | v3) = v4) | ~ (hAPP(v4, v2) = v5) | ~ $i(v3) | ~ $i(v2) |
% 229.06/37.77 | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0,
% 229.06/37.77 | v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v6, v0) | ~
% 229.06/37.77 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) |
% 229.06/37.77 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0)))
% 229.06/37.77 |
% 229.06/37.77 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J)
% 229.06/37.77 | implies:
% 229.06/37.77 | (96) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 229.06/37.77 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 229.06/37.77 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v2) = v3) | ~
% 229.06/37.77 | (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 229.06/37.77 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | ~
% 229.06/37.77 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) |
% 229.06/37.77 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v4)))
% 229.06/37.77 |
% 229.06/37.77 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J)
% 229.06/37.77 | implies:
% 229.06/37.77 | (97) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 229.06/37.77 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 229.06/37.77 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v3) | ~
% 229.06/37.77 | $i(v2) | ~ $i(v1) | ~
% 229.06/37.77 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | ~
% 229.06/37.77 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) |
% 229.06/37.77 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3)))
% 229.06/37.77 |
% 229.06/37.77 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J)
% 229.06/37.77 | implies:
% 229.06/37.77 | (98) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) =
% 229.06/37.77 | v1 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0)
% 229.06/37.77 | & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1))
% 229.06/37.77 |
% 229.06/37.77 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J)
% 229.06/37.77 | implies:
% 229.06/37.77 | (99) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 229.06/37.77 | & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v0))
% 229.06/37.77 |
% 229.06/37.77 | ALPHA: (fact_DERIV__pos__inc__right) implies:
% 229.06/37.77 | (100) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 229.06/37.77 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 229.06/37.77 | ~ (hAPP(v3, v2) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 229.06/37.77 | c_Deriv_Oderiv(tc_RealDef_Oreal, v3, v2, v1) | ~
% 229.06/37.77 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) | ? [v5:
% 229.06/37.77 | $i] : ($i(v5) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.06/37.77 | v0, v5) & ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 229.06/37.77 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v6) = v7)
% 229.06/37.77 | | ~ (hAPP(v3, v7) = v8) | ~ $i(v6) | ~
% 229.06/37.77 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v5) | ~
% 229.06/37.77 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v6) |
% 229.06/37.77 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v8)))))
% 229.06/37.77 |
% 229.06/37.77 | ALPHA: (fact_DERIV__neg__dec__right) implies:
% 229.06/37.77 | (101) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 229.06/37.77 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 229.06/37.77 | ~ (hAPP(v3, v2) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 229.06/37.77 | c_Deriv_Oderiv(tc_RealDef_Oreal, v3, v2, v1) | ~
% 229.06/37.77 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | ? [v5:
% 229.06/37.77 | $i] : ($i(v5) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.06/37.77 | v0, v5) & ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 229.06/37.77 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v6) = v7)
% 229.06/37.77 | | ~ (hAPP(v3, v7) = v8) | ~ $i(v6) | ~
% 229.06/37.77 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v5) | ~
% 229.06/37.77 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v6) |
% 229.06/37.77 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v4)))))
% 229.06/37.77 |
% 229.06/37.77 | ALPHA: (fact_less__nat__number__of) implies:
% 229.06/37.77 | (102) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 229.06/37.77 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~
% 229.06/37.77 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3) | ~
% 229.06/37.77 | $i(v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 229.06/37.77 | v2, v3) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0))
% 229.06/37.77 |
% 229.06/37.77 | ALPHA: (fact_less__0__number__of) implies:
% 229.06/37.77 | (103) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.06/37.77 | & ! [v1: $i] : ! [v2: $i] : ( ~
% 229.06/37.77 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~
% 229.06/37.77 | $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) |
% 229.06/37.77 | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v1)) & !
% 229.06/37.77 | [v1: $i] : ! [v2: $i] : ( ~
% 229.06/37.77 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~
% 229.06/37.77 | $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 229.06/37.77 | c_Int_OPls, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 229.06/37.77 | v0, v2)))
% 229.06/37.77 |
% 229.06/37.77 | ALPHA: (fact_eq__number__of__0) implies:
% 229.06/37.77 | (104) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.06/37.77 | & ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~
% 229.06/37.77 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~
% 229.06/37.77 | $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1,
% 229.06/37.77 | c_Int_OPls)) & ! [v1: $i] : ( ~
% 229.06/37.77 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v0) | ~
% 229.06/37.77 | $i(v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1,
% 229.06/37.77 | c_Int_OPls)))
% 229.06/37.77 |
% 229.06/37.77 | ALPHA: (fact_Pls__def) implies:
% 229.06/37.77 | (105) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Int_OPls
% 229.06/37.77 |
% 229.06/37.77 | ALPHA: (fact_semiring__norm_I113_J) implies:
% 229.06/37.77 | (106) ? [v0: $i] : (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.06/37.77 | c_Int_OPls) = v0 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 229.06/37.77 | & $i(v0))
% 229.06/37.77 |
% 229.06/37.77 | ALPHA: (fact_bin__less__0__simps_I1_J) implies:
% 229.06/37.78 | (107) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 229.06/37.78 | & ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0))
% 229.06/37.78 |
% 229.06/37.78 | ALPHA: (fact_zero__is__num__zero) implies:
% 229.06/37.78 | (108) ? [v0: $i] : (c_Int_Onumber__class_Onumber__of(tc_Int_Oint,
% 229.06/37.78 | c_Int_OPls) = v0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 229.06/37.78 | & $i(v0))
% 229.06/37.78 |
% 229.06/37.78 | ALPHA: (fact_nat__number__of__mult__left) implies:
% 229.06/37.78 | (109) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.06/37.78 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 229.06/37.78 | $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : (v9
% 229.06/37.78 | = v0 | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) =
% 229.06/37.78 | v4) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) =
% 229.06/37.78 | v6) | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v6) = v7)
% 229.06/37.78 | | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v4) = v5) | ~
% 229.06/37.78 | (hAPP(v7, v1) = v8) | ~ (hAPP(v5, v8) = v9) | ~ $i(v3) | ~
% 229.06/37.78 | $i(v2) | ~ $i(v1) | ~
% 229.06/37.78 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, c_Int_OPls)) & !
% 229.06/37.78 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 229.06/37.78 | ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 229.06/37.78 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v4) | ~
% 229.06/37.78 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v6) | ~
% 229.06/37.78 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v6) = v7) | ~
% 229.06/37.78 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v4) = v5) | ~
% 229.06/37.78 | (hAPP(v7, v1) = v8) | ~ (hAPP(v5, v8) = v9) | ~ $i(v3) | ~
% 229.06/37.78 | $i(v2) | ~ $i(v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 229.06/37.78 | v3, c_Int_OPls) | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] :
% 229.06/37.78 | ? [v13: $i] : (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v11)
% 229.06/37.78 | = v12 & c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v12) = v13 &
% 229.06/37.78 | c_Groups_Otimes__class_Otimes(tc_Int_Oint, v3) = v10 &
% 229.06/37.78 | hAPP(v13, v1) = v9 & hAPP(v10, v2) = v11 & $i(v13) & $i(v12) &
% 229.06/37.78 | $i(v11) & $i(v10) & $i(v9))))
% 229.06/37.78 |
% 229.06/37.78 | ALPHA: (fact_mult__nat__number__of) implies:
% 229.06/37.78 | (110) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.06/37.78 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 229.06/37.78 | $i] : ! [v6: $i] : (v6 = v0 | ~
% 229.06/37.78 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3) | ~
% 229.06/37.78 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v5) | ~
% 229.06/37.78 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~
% 229.06/37.78 | (hAPP(v4, v5) = v6) | ~ $i(v2) | ~ $i(v1) | ~
% 229.06/37.78 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, c_Int_OPls)) & !
% 229.06/37.78 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 229.06/37.78 | ! [v6: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2)
% 229.06/37.78 | = v3) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) =
% 229.06/37.78 | v5) | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4)
% 229.06/37.78 | | ~ (hAPP(v4, v5) = v6) | ~ $i(v2) | ~ $i(v1) |
% 229.06/37.78 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, c_Int_OPls) | ?
% 229.06/37.78 | [v7: $i] : ? [v8: $i] :
% 229.06/37.78 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v8) = v6 &
% 229.06/37.78 | c_Groups_Otimes__class_Otimes(tc_Int_Oint, v2) = v7 & hAPP(v7,
% 229.06/37.78 | v1) = v8 & $i(v8) & $i(v7) & $i(v6))))
% 229.06/37.78 |
% 229.06/37.78 | ALPHA: (fact_le__special_I1_J) implies:
% 229.06/37.78 | (111) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.06/37.78 | (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ $i(v1) | ~
% 229.06/37.78 | $i(v0) | ~ class_Int_Onumber__ring(v1) | ~
% 229.06/37.78 | class_Rings_Olinordered__idom(v1) | ? [v3: $i] : (( ~
% 229.06/37.78 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0)
% 229.06/37.78 | | (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) &
% 229.06/37.78 | c_Orderings_Oord__class_Oless__eq(v1, v3, v2))) &
% 229.06/37.78 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) |
% 229.06/37.78 | (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ~
% 229.06/37.78 | c_Orderings_Oord__class_Oless__eq(v1, v3, v2)))))
% 229.06/37.78 |
% 229.06/37.78 | ALPHA: (fact_less__special_I1_J) implies:
% 229.06/37.78 | (112) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.06/37.78 | (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ $i(v1) | ~
% 229.06/37.78 | $i(v0) | ~ class_Int_Onumber__ring(v1) | ~
% 229.06/37.78 | class_Rings_Olinordered__idom(v1) | ? [v3: $i] : (( ~
% 229.06/37.78 | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) |
% 229.06/37.78 | (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) &
% 229.06/37.78 | c_Orderings_Oord__class_Oless(v1, v3, v2))) &
% 229.06/37.78 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) |
% 229.06/37.78 | (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ~
% 229.06/37.78 | c_Orderings_Oord__class_Oless(v1, v3, v2)))))
% 229.06/37.78 |
% 229.06/37.78 | ALPHA: (fact_number__of2) implies:
% 229.09/37.78 | (113) ? [v0: $i] : ? [v1: $i] :
% 229.09/37.78 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) = v1 &
% 229.09/37.78 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0) &
% 229.09/37.78 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1))
% 229.09/37.78 |
% 229.09/37.78 | ALPHA: (fact_eq__special_I4_J) implies:
% 229.09/37.78 | (114) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 229.09/37.78 | c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v1 & $i(v1) &
% 229.09/37.78 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (
% 229.09/37.78 | ~ (c_Int_Onumber__class_Onumber__of(v3, v4) = v5) | ~
% 229.09/37.78 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v4) | ~
% 229.09/37.78 | $i(v3) | ~ $i(v2) | ~ class_Int_Onumber__ring(v3) | ? [v6: $i]
% 229.09/37.78 | : ? [v7: $i] : (( ~ c_Int_Oiszero(v3, v5) | (v7 = v6 &
% 229.09/37.78 | c_Int_Onumber__class_Onumber__of(v3, v2) = v6 &
% 229.09/37.78 | c_Groups_Oone__class_Oone(v3) = v6 & $i(v6))) &
% 229.09/37.78 | (c_Int_Oiszero(v3, v5) | ( ~ (v7 = v6) &
% 229.09/37.78 | c_Int_Onumber__class_Onumber__of(v3, v2) = v6 &
% 229.09/37.78 | c_Groups_Oone__class_Oone(v3) = v7 & $i(v7) & $i(v6))))))
% 229.09/37.78 |
% 229.09/37.78 | ALPHA: (fact_eq__special_I2_J) implies:
% 229.09/37.78 | (115) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 229.09/37.78 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 229.09/37.78 | (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v3) | ~
% 229.09/37.78 | (c_Int_Onumber__class_Onumber__of(v2, v4) = v5) | ~
% 229.09/37.78 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v3) = v4) | ~
% 229.09/37.78 | $i(v2) | ~ $i(v1) | ~ class_Int_Onumber__ring(v2) | ? [v6: $i]
% 229.09/37.78 | : ? [v7: $i] : (( ~ c_Int_Oiszero(v2, v5) | (v7 = v6 &
% 229.09/37.78 | c_Int_Onumber__class_Onumber__of(v2, v1) = v6 &
% 229.09/37.78 | c_Groups_Oone__class_Oone(v2) = v6 & $i(v6))) &
% 229.09/37.78 | (c_Int_Oiszero(v2, v5) | ( ~ (v7 = v6) &
% 229.09/37.78 | c_Int_Onumber__class_Onumber__of(v2, v1) = v7 &
% 229.09/37.78 | c_Groups_Oone__class_Oone(v2) = v6 & $i(v7) & $i(v6))))))
% 229.09/37.78 |
% 229.09/37.78 | ALPHA: (fact_nat__numeral__1__eq__1) implies:
% 229.09/37.78 | (116) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 229.09/37.78 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1 &
% 229.09/37.78 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0))
% 229.09/37.78 |
% 229.09/37.78 | ALPHA: (fact_bin__less__0__simps_I4_J) implies:
% 229.09/37.78 | (117) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 229.09/37.78 | & ! [v1: $i] : ! [v2: $i] : ( ~ (c_Int_OBit1(v1) = v2) | ~
% 229.09/37.78 | $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) |
% 229.09/37.78 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v1: $i]
% 229.09/37.78 | : ! [v2: $i] : ( ~ (c_Int_OBit1(v1) = v2) | ~ $i(v1) | ~
% 229.09/37.78 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) |
% 229.09/37.78 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0)))
% 229.09/37.78 |
% 229.09/37.78 | ALPHA: (fact_succ__Pls) implies:
% 229.09/37.78 | (118) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_Osucc(c_Int_OPls)
% 229.09/37.78 | = v0 & $i(v0))
% 229.09/37.78 |
% 229.09/37.78 | ALPHA: (fact_mult__numeral__1) implies:
% 229.09/37.78 | (119) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 229.09/37.78 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v1 |
% 229.09/37.78 | ~ (c_Int_Onumber__class_Onumber__of(v2, v0) = v3) | ~
% 229.09/37.78 | (c_Groups_Otimes__class_Otimes(v2, v3) = v4) | ~ (hAPP(v4, v1) =
% 229.09/37.78 | v5) | ~ $i(v2) | ~ $i(v1) | ~ class_Int_Onumber__ring(v2)))
% 229.09/37.78 |
% 229.09/37.78 | ALPHA: (fact_mult__numeral__1__right) implies:
% 229.09/37.78 | (120) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 229.09/37.78 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v1 |
% 229.09/37.78 | ~ (c_Int_Onumber__class_Onumber__of(v2, v0) = v4) | ~
% 229.09/37.78 | (c_Groups_Otimes__class_Otimes(v2, v1) = v3) | ~ (hAPP(v3, v4) =
% 229.09/37.78 | v5) | ~ $i(v2) | ~ $i(v1) | ~ class_Int_Onumber__ring(v2)))
% 229.09/37.78 |
% 229.09/37.78 | ALPHA: (fact_semiring__norm_I110_J) implies:
% 229.09/37.78 | (121) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 229.09/37.78 | ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) |
% 229.09/37.78 | ~ $i(v1) | ~ class_Int_Onumber__ring(v1) |
% 229.09/37.78 | (c_Groups_Oone__class_Oone(v1) = v2 & $i(v2))))
% 229.09/37.78 |
% 229.09/37.78 | ALPHA: (fact_divide__numeral__1) implies:
% 229.09/37.78 | (122) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 229.09/37.78 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~
% 229.09/37.78 | (c_Int_Onumber__class_Onumber__of(v2, v0) = v3) | ~
% 229.09/37.78 | (c_Rings_Oinverse__class_Odivide(v2, v1, v3) = v4) | ~ $i(v2) |
% 229.09/37.78 | ~ $i(v1) | ~ class_Int_Onumber__ring(v2) | ~
% 229.09/37.78 | class_Fields_Ofield(v2)))
% 229.09/37.78 |
% 229.09/37.78 | ALPHA: (fact_inverse__numeral__1) implies:
% 229.09/37.78 | (123) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 229.09/37.78 | ! [v2: $i] : ! [v3: $i] : (v3 = v2 | ~
% 229.09/37.78 | (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~
% 229.09/37.78 | (c_Rings_Oinverse__class_Oinverse(v1, v2) = v3) | ~ $i(v1) | ~
% 229.09/37.78 | class_Int_Onumber__ring(v1) | ~ class_Fields_Ofield(v1)))
% 229.09/37.78 |
% 229.09/37.78 | ALPHA: (fact_one__is__num__one) implies:
% 229.09/37.78 | (124) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v1 &
% 229.09/37.78 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v0 &
% 229.09/37.78 | c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v1) & $i(v0))
% 229.09/37.78 |
% 229.09/37.78 | ALPHA: (fact_not__iszero__Numeral1) implies:
% 229.09/37.78 | (125) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 229.09/37.78 | ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) |
% 229.09/37.78 | ~ $i(v1) | ~ c_Int_Oiszero(v1, v2) | ~
% 229.09/37.78 | class_Int_Onumber__ring(v1)))
% 229.09/37.78 |
% 229.09/37.78 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J)
% 229.09/37.78 | implies:
% 229.09/37.78 | (126) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 229.09/37.78 | (c_Int_OBit1(v1) = v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 229.09/37.78 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 &
% 229.09/37.78 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v3) & $i(v2) &
% 229.09/37.78 | $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 229.09/37.78 | v0, v3))
% 229.09/37.78 |
% 229.09/37.78 | ALPHA: (fact_le__special_I2_J) implies:
% 229.09/37.78 | (127) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 229.09/37.78 | ! [v2: $i] : ! [v3: $i] : ( ~
% 229.09/37.78 | (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ $i(v2) | ~
% 229.09/37.78 | $i(v1) | ~ class_Int_Onumber__ring(v2) | ~
% 229.09/37.78 | class_Rings_Olinordered__idom(v2) | ? [v4: $i] : (( ~
% 229.09/37.78 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) |
% 229.09/37.78 | (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) &
% 229.09/37.78 | c_Orderings_Oord__class_Oless__eq(v2, v4, v3))) &
% 229.09/37.78 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) |
% 229.09/37.78 | (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & ~
% 229.09/37.78 | c_Orderings_Oord__class_Oless__eq(v2, v4, v3))))))
% 229.09/37.78 |
% 229.09/37.78 | ALPHA: (fact_le__special_I4_J) implies:
% 229.09/37.78 | (128) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 229.09/37.78 | ! [v2: $i] : ! [v3: $i] : ( ~
% 229.09/37.78 | (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ $i(v2) | ~
% 229.09/37.78 | $i(v1) | ~ class_Int_Onumber__ring(v2) | ~
% 229.09/37.78 | class_Rings_Olinordered__idom(v2) | ? [v4: $i] : (( ~
% 229.09/37.78 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) |
% 229.09/37.78 | (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) &
% 229.09/37.78 | c_Orderings_Oord__class_Oless__eq(v2, v3, v4))) &
% 229.09/37.78 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) |
% 229.09/37.78 | (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & ~
% 229.09/37.78 | c_Orderings_Oord__class_Oless__eq(v2, v3, v4))))))
% 229.09/37.78 |
% 229.09/37.78 | ALPHA: (fact_less__special_I2_J) implies:
% 229.09/37.78 | (129) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 229.09/37.78 | ! [v2: $i] : ! [v3: $i] : ( ~
% 229.09/37.78 | (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ $i(v2) | ~
% 229.09/37.78 | $i(v1) | ~ class_Int_Onumber__ring(v2) | ~
% 229.09/37.78 | class_Rings_Olinordered__idom(v2) | ? [v4: $i] : (( ~
% 229.09/37.78 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) |
% 229.09/37.78 | (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) &
% 229.09/37.78 | c_Orderings_Oord__class_Oless(v2, v4, v3))) &
% 229.09/37.78 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) |
% 229.09/37.78 | (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & ~
% 229.09/37.78 | c_Orderings_Oord__class_Oless(v2, v4, v3))))))
% 229.09/37.78 |
% 229.09/37.78 | ALPHA: (fact_less__special_I4_J) implies:
% 229.09/37.78 | (130) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 229.09/37.78 | ! [v2: $i] : ! [v3: $i] : ( ~
% 229.09/37.78 | (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ $i(v2) | ~
% 229.09/37.78 | $i(v1) | ~ class_Int_Onumber__ring(v2) | ~
% 229.09/37.78 | class_Rings_Olinordered__idom(v2) | ? [v4: $i] : (( ~
% 229.09/37.78 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) |
% 229.09/37.78 | (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) &
% 229.09/37.78 | c_Orderings_Oord__class_Oless(v2, v3, v4))) &
% 229.09/37.78 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) |
% 229.09/37.78 | (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & ~
% 229.09/37.78 | c_Orderings_Oord__class_Oless(v2, v3, v4))))))
% 229.09/37.78 |
% 229.09/37.78 | ALPHA: (fact_add__special_I3_J) implies:
% 229.09/37.78 | (131) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 229.09/37.78 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 229.09/37.78 | (c_Int_Onumber__class_Onumber__of(v2, v3) = v4) | ~
% 229.09/37.78 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~
% 229.09/37.78 | $i(v2) | ~ $i(v1) | ~ class_Int_Onumber__ring(v2) | ? [v5: $i]
% 229.09/37.78 | : ? [v6: $i] : (c_Int_Onumber__class_Onumber__of(v2, v1) = v5 &
% 229.09/37.78 | c_Groups_Oplus__class_Oplus(v2, v5, v6) = v4 &
% 229.09/37.78 | c_Groups_Oone__class_Oone(v2) = v6 & $i(v6) & $i(v5) &
% 229.09/37.78 | $i(v4))))
% 229.09/37.78 |
% 229.09/37.78 | ALPHA: (fact_add__special_I2_J) implies:
% 229.09/37.78 | (132) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 229.09/37.78 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 229.09/37.78 | (c_Int_Onumber__class_Onumber__of(v2, v3) = v4) | ~
% 229.09/37.78 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v3) | ~
% 229.09/37.78 | $i(v2) | ~ $i(v1) | ~ class_Int_Onumber__ring(v2) | ? [v5: $i]
% 229.09/37.78 | : ? [v6: $i] : (c_Int_Onumber__class_Onumber__of(v2, v1) = v6 &
% 229.09/37.78 | c_Groups_Oplus__class_Oplus(v2, v5, v6) = v4 &
% 229.09/37.78 | c_Groups_Oone__class_Oone(v2) = v5 & $i(v6) & $i(v5) &
% 229.09/37.78 | $i(v4))))
% 229.09/37.78 |
% 229.09/37.78 | ALPHA: (fact_mult__le__cancel1) implies:
% 229.09/37.78 | (133) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.09/37.78 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 229.09/37.78 | $i] : ! [v6: $i] : ( ~
% 229.09/37.78 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~
% 229.09/37.78 | (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v6) | ~ $i(v3) | ~
% 229.09/37.78 | $i(v2) | ~ $i(v1) | ~
% 229.09/37.78 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v6) | ~
% 229.09/37.78 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) |
% 229.09/37.78 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1)) & ! [v1:
% 229.09/37.78 | $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 229.09/37.78 | [v6: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) =
% 229.09/37.78 | v4) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v6) | ~
% 229.09/37.78 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 229.09/37.78 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) |
% 229.09/37.78 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v6)) & ! [v1:
% 229.09/37.78 | $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 229.09/37.78 | [v6: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) =
% 229.09/37.78 | v4) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v6) | ~
% 229.09/37.78 | $i(v3) | ~ $i(v2) | ~ $i(v1) |
% 229.09/37.78 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v6) |
% 229.09/37.78 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3)))
% 229.09/37.78 |
% 229.09/37.78 | ALPHA: (fact_neq0__conv) implies:
% 229.09/37.79 | (134) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.09/37.79 | & ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v0) & ? [v1:
% 229.09/37.79 | $i] : (v1 = v0 | ~ $i(v1) |
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1)))
% 229.09/37.79 |
% 229.09/37.79 | ALPHA: (fact_not__less0) implies:
% 229.09/37.79 | (135) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.09/37.79 | & ! [v1: $i] : ( ~ $i(v1) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0)))
% 229.09/37.79 |
% 229.09/37.79 | ALPHA: (fact_gr0I) implies:
% 229.09/37.79 | (136) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.09/37.79 | & ? [v1: $i] : (v1 = v0 | ~ $i(v1) |
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1)))
% 229.09/37.79 |
% 229.09/37.79 | ALPHA: (fact_add__eq__self__zero) implies:
% 229.09/37.79 | (137) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.09/37.79 | & ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 229.09/37.79 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v2) | ~
% 229.09/37.79 | $i(v2) | ~ $i(v1)))
% 229.09/37.79 |
% 229.09/37.79 | ALPHA: (fact_add__is__0) implies:
% 229.09/37.79 | (138) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.09/37.79 | & ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~
% 229.09/37.79 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v0) | ~
% 229.09/37.79 | $i(v2) | ~ $i(v1)) & ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 229.09/37.79 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v0) | ~
% 229.09/37.79 | $i(v2) | ~ $i(v1)) & ! [v1: $i] : (v1 = v0 | ~
% 229.09/37.79 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v0) = v1)))
% 229.09/37.79 |
% 229.09/37.79 | ALPHA: (fact_Nat_Oadd__0__right) implies:
% 229.09/37.79 | (139) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.09/37.79 | & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 229.09/37.79 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~
% 229.09/37.79 | $i(v1)))
% 229.09/37.79 |
% 229.09/37.79 | ALPHA: (fact_plus__nat_Oadd__0) implies:
% 229.09/37.79 | (140) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.09/37.79 | & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 229.09/37.79 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v2) | ~
% 229.09/37.79 | $i(v1)))
% 229.09/37.79 |
% 229.09/37.79 | ALPHA: (fact_less__eq__nat_Osimps_I1_J) implies:
% 229.09/37.79 | (141) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.09/37.79 | & ? [v1: $i] : ( ~ $i(v1) |
% 229.09/37.79 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v1)))
% 229.09/37.79 |
% 229.09/37.79 | ALPHA: (fact_le__0__eq) implies:
% 229.09/37.79 | (142) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.09/37.79 | & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v0) & ! [v1:
% 229.09/37.79 | $i] : (v1 = v0 | ~ $i(v1) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)))
% 229.09/37.79 |
% 229.09/37.79 | ALPHA: (fact_mult__cancel2) implies:
% 229.09/37.79 | (143) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.09/37.79 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 229.09/37.79 | $i] : ! [v6: $i] : (v6 = v4 | ~
% 229.09/37.79 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3) | ~
% 229.09/37.79 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1) = v5) | ~
% 229.09/37.79 | (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v0) = v4) | ~ $i(v2) | ~
% 229.09/37.79 | $i(v1)) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 229.09/37.79 | ! [v5: $i] : ! [v6: $i] : (v3 = v1 | v2 = v0 | ~
% 229.09/37.79 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~
% 229.09/37.79 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1) = v6) | ~
% 229.09/37.79 | (hAPP(v6, v2) = v5) | ~ (hAPP(v4, v2) = v5) | ~ $i(v3) | ~
% 229.09/37.79 | $i(v2) | ~ $i(v1)))
% 229.09/37.79 |
% 229.09/37.79 | ALPHA: (fact_mult__is__0) implies:
% 229.09/37.79 | (144) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.09/37.79 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 229.09/37.79 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1) = v2) | ~
% 229.09/37.79 | (hAPP(v2, v0) = v3) | ~ $i(v1)) & ! [v1: $i] : ! [v2: $i] : !
% 229.09/37.79 | [v3: $i] : (v3 = v0 | ~
% 229.09/37.79 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0) = v2) | ~
% 229.09/37.79 | (hAPP(v2, v1) = v3) | ~ $i(v1)) & ! [v1: $i] : ! [v2: $i] : !
% 229.09/37.79 | [v3: $i] : (v2 = v0 | v1 = v0 | ~
% 229.09/37.79 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3) | ~
% 229.09/37.79 | (hAPP(v3, v1) = v0) | ~ $i(v2) | ~ $i(v1)))
% 229.09/37.79 |
% 229.09/37.79 | ALPHA: (fact_mult__0__right) implies:
% 229.09/37.79 | (145) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.09/37.79 | & ! [v1: $i] : ! [v2: $i] : ( ~
% 229.09/37.79 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1) = v2) | ~ $i(v1)
% 229.09/37.79 | | hAPP(v2, v0) = v0))
% 229.09/37.79 |
% 229.09/37.79 | ALPHA: (fact_mult__0) implies:
% 229.09/37.79 | (146) ? [v0: $i] : ? [v1: $i] :
% 229.09/37.79 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0) = v1 &
% 229.09/37.79 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) &
% 229.09/37.79 | ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ (hAPP(v1, v2) = v3) | ~
% 229.09/37.79 | $i(v2)))
% 229.09/37.79 |
% 229.09/37.79 | ALPHA: (fact_add__gr__0) implies:
% 229.09/37.79 | (147) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.09/37.79 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 229.09/37.79 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~
% 229.09/37.79 | $i(v2) | ~ $i(v1) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) |
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) |
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1)) & ! [v1: $i]
% 229.09/37.79 | : ! [v2: $i] : ! [v3: $i] : ( ~
% 229.09/37.79 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~
% 229.09/37.79 | $i(v2) | ~ $i(v1) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) |
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3)) & ! [v1: $i]
% 229.09/37.79 | : ! [v2: $i] : ! [v3: $i] : ( ~
% 229.09/37.79 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~
% 229.09/37.79 | $i(v2) | ~ $i(v1) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) |
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3)))
% 229.09/37.79 |
% 229.09/37.79 | ALPHA: (fact_nat__0__less__mult__iff) implies:
% 229.09/37.79 | (148) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.09/37.79 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 229.09/37.79 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3) | ~
% 229.09/37.79 | (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v4) |
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)) & ! [v1: $i]
% 229.09/37.79 | : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 229.09/37.79 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3) | ~
% 229.09/37.79 | (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v4) |
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1)) & ! [v1: $i]
% 229.09/37.79 | : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 229.09/37.79 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3) | ~
% 229.09/37.79 | (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) |
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v4)))
% 229.09/37.79 |
% 229.09/37.79 | ALPHA: (fact_mult__less__cancel1) implies:
% 229.09/37.79 | (149) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.09/37.79 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 229.09/37.79 | $i] : ! [v6: $i] : ( ~
% 229.09/37.79 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~
% 229.09/37.79 | (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v6) | ~ $i(v3) | ~
% 229.09/37.79 | $i(v2) | ~ $i(v1) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v6) |
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1)) & ! [v1: $i]
% 229.09/37.79 | : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 229.09/37.79 | $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) |
% 229.09/37.79 | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v6) | ~ $i(v3) | ~
% 229.09/37.79 | $i(v2) | ~ $i(v1) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v6) |
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3)) & ! [v1: $i]
% 229.09/37.79 | : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 229.09/37.79 | $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) |
% 229.09/37.79 | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v6) | ~ $i(v3) | ~
% 229.09/37.79 | $i(v2) | ~ $i(v1) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) |
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v6)))
% 229.09/37.79 |
% 229.09/37.79 | ALPHA: (fact_mult__less__cancel2) implies:
% 229.09/37.79 | (150) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.09/37.79 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 229.09/37.79 | $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 229.09/37.79 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~
% 229.09/37.79 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1) = v6) | ~
% 229.09/37.79 | (hAPP(v6, v2) = v7) | ~ (hAPP(v4, v2) = v5) | ~ $i(v3) | ~
% 229.09/37.79 | $i(v2) | ~ $i(v1) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v7) |
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v1)) & ! [v1: $i]
% 229.09/37.79 | : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 229.09/37.79 | $i] : ! [v7: $i] : ( ~
% 229.09/37.79 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~
% 229.09/37.79 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1) = v6) | ~
% 229.09/37.79 | (hAPP(v6, v2) = v7) | ~ (hAPP(v4, v2) = v5) | ~ $i(v3) | ~
% 229.09/37.79 | $i(v2) | ~ $i(v1) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v7) |
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)) & ! [v1: $i]
% 229.09/37.79 | : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 229.09/37.79 | $i] : ! [v7: $i] : ( ~
% 229.09/37.79 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~
% 229.09/37.79 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1) = v6) | ~
% 229.09/37.79 | (hAPP(v6, v2) = v7) | ~ (hAPP(v4, v2) = v5) | ~ $i(v3) | ~
% 229.09/37.79 | $i(v2) | ~ $i(v1) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v1) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) |
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v7)))
% 229.09/37.79 |
% 229.09/37.79 | ALPHA: (fact_mult__less__mono1) implies:
% 229.09/37.79 | (151) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.09/37.79 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 229.09/37.79 | $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 229.09/37.79 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~
% 229.09/37.79 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v6) | ~
% 229.09/37.79 | (hAPP(v6, v1) = v7) | ~ (hAPP(v4, v1) = v5) | ~ $i(v3) | ~
% 229.09/37.79 | $i(v2) | ~ $i(v1) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v2) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) |
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v7)))
% 229.09/37.79 |
% 229.09/37.79 | ALPHA: (fact_mult__less__mono2) implies:
% 229.09/37.79 | (152) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.09/37.79 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 229.09/37.79 | $i] : ! [v6: $i] : ( ~
% 229.09/37.79 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1) = v4) | ~
% 229.09/37.79 | (hAPP(v4, v3) = v5) | ~ (hAPP(v4, v2) = v6) | ~ $i(v3) | ~
% 229.09/37.79 | $i(v2) | ~ $i(v1) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v2) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) |
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v6)))
% 229.09/37.79 |
% 229.09/37.79 | ALPHA: (fact_mult__eq__self__implies__10) implies:
% 229.09/37.79 | (153) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) =
% 229.09/37.79 | v0 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & $i(v1) &
% 229.09/37.79 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v1 | v2 =
% 229.09/37.79 | v0 | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) |
% 229.09/37.79 | ~ (hAPP(v4, v2) = v3) | ~ $i(v3) | ~ $i(v2)))
% 229.09/37.79 |
% 229.09/37.79 | ALPHA: (fact_mult__le__cancel2) implies:
% 229.09/37.79 | (154) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.09/37.79 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 229.09/37.79 | $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 229.09/37.79 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~
% 229.09/37.79 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1) = v6) | ~
% 229.09/37.79 | (hAPP(v6, v2) = v7) | ~ (hAPP(v4, v2) = v5) | ~ $i(v3) | ~
% 229.09/37.79 | $i(v2) | ~ $i(v1) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v7) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) |
% 229.09/37.79 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v1)) & ! [v1:
% 229.09/37.79 | $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 229.09/37.79 | [v6: $i] : ! [v7: $i] : ( ~
% 229.09/37.79 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~
% 229.09/37.79 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1) = v6) | ~
% 229.09/37.79 | (hAPP(v6, v2) = v7) | ~ (hAPP(v4, v2) = v5) | ~ $i(v3) | ~
% 229.09/37.79 | $i(v2) | ~ $i(v1) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v1) |
% 229.09/37.79 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v7)) & ! [v1:
% 229.09/37.79 | $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 229.09/37.79 | [v6: $i] : ! [v7: $i] : ( ~
% 229.09/37.79 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~
% 229.09/37.79 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1) = v6) | ~
% 229.09/37.79 | (hAPP(v6, v2) = v7) | ~ (hAPP(v4, v2) = v5) | ~ $i(v3) | ~
% 229.09/37.79 | $i(v2) | ~ $i(v1) |
% 229.09/37.79 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v7) |
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)))
% 229.09/37.79 |
% 229.09/37.79 | ALPHA: (fact_nat__mult__le__cancel1) implies:
% 229.09/37.79 | (155) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.09/37.79 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 229.09/37.79 | $i] : ! [v6: $i] : ( ~
% 229.09/37.79 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~
% 229.09/37.79 | (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v6) | ~ $i(v3) | ~
% 229.09/37.79 | $i(v2) | ~ $i(v1) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v6) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) |
% 229.09/37.79 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1)) & ! [v1:
% 229.09/37.79 | $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 229.09/37.79 | [v6: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) =
% 229.09/37.79 | v4) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v6) | ~
% 229.09/37.79 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) |
% 229.09/37.79 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v6)))
% 229.09/37.79 |
% 229.09/37.79 | ALPHA: (fact_nat__mult__eq__cancel1) implies:
% 229.09/37.79 | (156) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.09/37.79 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 229.09/37.79 | $i] : (v2 = v1 | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat,
% 229.09/37.79 | v3) = v4) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v5) |
% 229.09/37.79 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3)))
% 229.09/37.79 |
% 229.09/37.79 | ALPHA: (fact_nat__mult__less__cancel1) implies:
% 229.09/37.79 | (157) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.09/37.79 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 229.09/37.79 | $i] : ! [v6: $i] : ( ~
% 229.09/37.79 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~
% 229.09/37.79 | (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v6) | ~ $i(v3) | ~
% 229.09/37.79 | $i(v2) | ~ $i(v1) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v6) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) |
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1)) & ! [v1: $i]
% 229.09/37.79 | : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 229.09/37.79 | $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) |
% 229.09/37.79 | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v6) | ~ $i(v3) | ~
% 229.09/37.79 | $i(v2) | ~ $i(v1) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) |
% 229.09/37.79 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v6)))
% 229.09/37.79 |
% 229.09/37.79 | ALPHA: (fact_nat__mult__eq__cancel__disj) implies:
% 229.09/37.79 | (158) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.09/37.79 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 229.09/37.79 | $i] : (v5 = v4 | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat,
% 229.09/37.79 | v0) = v3) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v3, v1) = v5) |
% 229.09/37.79 | ~ $i(v2) | ~ $i(v1)) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 229.09/37.79 | : ! [v4: $i] : ! [v5: $i] : (v3 = v0 | v2 = v1 | ~
% 229.09/37.79 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~
% 229.09/37.79 | (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v5) | ~ $i(v3) | ~
% 229.09/37.79 | $i(v2) | ~ $i(v1)))
% 229.09/37.79 |
% 229.09/37.79 | ALPHA: (fact_half) implies:
% 229.09/37.79 | (159) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit0(v0) = v1 &
% 229.09/37.79 | c_Int_OBit1(c_Int_OPls) = v0 & $i(v1) & $i(v0) & ! [v2: $i] : !
% 229.09/37.79 | [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 229.09/37.79 | (c_Int_Onumber__class_Onumber__of(v2, v1) = v4) | ~
% 229.09/37.79 | (c_Groups_Oone__class_Oone(v2) = v3) | ~
% 229.09/37.79 | (c_Rings_Oinverse__class_Odivide(v2, v3, v4) = v5) | ~ $i(v2) |
% 229.09/37.79 | ~ class_Int_Onumber__ring(v2) | ~
% 229.09/37.79 | class_Fields_Olinordered__field__inverse__zero(v2) | ? [v6: $i]
% 229.09/37.79 | : (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) &
% 229.09/37.79 | c_Orderings_Oord__class_Oless(v2, v6, v5))))
% 229.09/37.80 |
% 229.09/37.80 | ALPHA: (fact_incr__mult__lemma) implies:
% 229.09/37.80 | (160) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 229.09/37.80 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 229.09/37.80 | $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 229.09/37.80 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v6, v5) = v7) | ~
% 229.09/37.80 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1) = v4) | ~
% 229.09/37.80 | (hAPP(v4, v3) = v5) | ~ (hAPP(v2, v7) = v8) | ~ $i(v6) | ~
% 229.09/37.80 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 229.09/37.80 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) | ~
% 229.09/37.80 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) | hBOOL(v8) |
% 229.09/37.80 | ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 229.09/37.80 | [v13: $i] : ($i(v10) & ((c_Groups_Oplus__class_Oplus(tc_Int_Oint,
% 229.09/37.80 | v10, v3) = v12 & hAPP(v2, v12) = v13 & hAPP(v2, v10) =
% 229.09/37.80 | v11 & $i(v13) & $i(v12) & $i(v11) & hBOOL(v11) & ~
% 229.09/37.80 | hBOOL(v13)) | (hAPP(v2, v6) = v9 & $i(v9) & ~
% 229.09/37.80 | hBOOL(v9))))))
% 229.09/37.80 |
% 229.09/37.80 | ALPHA: (fact_bin__less__0__simps_I3_J) implies:
% 229.09/37.80 | (161) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 229.09/37.80 | & ! [v1: $i] : ! [v2: $i] : ( ~ (c_Int_OBit0(v1) = v2) | ~
% 229.09/37.80 | $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) |
% 229.09/37.80 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v1: $i]
% 229.09/37.80 | : ! [v2: $i] : ( ~ (c_Int_OBit0(v1) = v2) | ~ $i(v1) | ~
% 229.09/37.80 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) |
% 229.09/37.80 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0)))
% 229.09/37.80 |
% 229.09/37.80 | ALPHA: (fact_number__of1) implies:
% 229.09/37.80 | (162) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 229.09/37.80 | & ! [v1: $i] : ! [v2: $i] : ( ~
% 229.09/37.80 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~
% 229.09/37.80 | $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0,
% 229.09/37.80 | v2) | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 229.09/37.80 | (c_Int_OBit0(v1) = v3 & c_Int_OBit1(v1) = v5 &
% 229.09/37.80 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v5) = v6 &
% 229.09/37.80 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v3) = v4 & $i(v6)
% 229.09/37.80 | & $i(v5) & $i(v4) & $i(v3) &
% 229.09/37.80 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v6) &
% 229.09/37.80 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v4))))
% 229.09/37.80 |
% 229.09/37.80 | ALPHA: (fact_eq__divide__2__times__iff) implies:
% 229.09/37.80 | (163) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 229.09/37.80 | (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 229.09/37.80 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 229.09/37.80 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) = v3 & $i(v3) &
% 229.09/37.80 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i]
% 229.09/37.80 | : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : (v9 = v6 | ~
% 229.09/37.80 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v8) = v9)
% 229.09/37.80 | | ~ (hAPP(v3, v6) = v7) | ~ (hAPP(v3, v4) = v8) | ~ $i(v6) |
% 229.09/37.80 | ~ $i(v5) | ~ $i(v4) | ? [v10: $i] : ( ~ (v10 = v7) &
% 229.09/37.80 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v4) = v10
% 229.09/37.80 | & $i(v10))) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 229.09/37.80 | $i] : ! [v8: $i] : ( ~
% 229.09/37.80 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v7) = v6)
% 229.09/37.80 | | ~ (hAPP(v3, v6) = v8) | ~ (hAPP(v3, v4) = v7) | ~ $i(v6) |
% 229.09/37.80 | ~ $i(v5) | ~ $i(v4) |
% 229.09/37.80 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v4) = v8 &
% 229.09/37.80 | $i(v8))))
% 229.09/37.80 |
% 229.09/37.80 | ALPHA: (fact_mult__2__right) implies:
% 229.09/37.80 | (164) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit0(v0) = v1 &
% 229.09/37.80 | c_Int_OBit1(c_Int_OPls) = v0 & $i(v1) & $i(v0) & ! [v2: $i] : !
% 229.09/37.80 | [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 229.09/37.80 | (c_Int_Onumber__class_Onumber__of(v3, v1) = v5) | ~
% 229.09/37.80 | (c_Groups_Otimes__class_Otimes(v3, v2) = v4) | ~ (hAPP(v4, v5) =
% 229.09/37.80 | v6) | ~ $i(v3) | ~ $i(v2) | ~ class_Int_Onumber__ring(v3) |
% 229.09/37.80 | (c_Groups_Oplus__class_Oplus(v3, v2, v2) = v6 & $i(v6))))
% 229.09/37.80 |
% 229.09/37.80 | ALPHA: (fact_mult__2) implies:
% 229.09/37.80 | (165) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit0(v0) = v1 &
% 229.09/37.80 | c_Int_OBit1(c_Int_OPls) = v0 & $i(v1) & $i(v0) & ! [v2: $i] : !
% 229.09/37.80 | [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 229.09/37.80 | (c_Int_Onumber__class_Onumber__of(v3, v1) = v4) | ~
% 229.09/37.80 | (c_Groups_Otimes__class_Otimes(v3, v4) = v5) | ~ (hAPP(v5, v2) =
% 229.09/37.80 | v6) | ~ $i(v3) | ~ $i(v2) | ~ class_Int_Onumber__ring(v3) |
% 229.09/37.80 | (c_Groups_Oplus__class_Oplus(v3, v2, v2) = v6 & $i(v6))))
% 229.09/37.80 |
% 229.09/37.80 | ALPHA: (fact_one__add__one__is__two) implies:
% 229.09/37.80 | (166) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit0(v0) = v1 &
% 229.09/37.80 | c_Int_OBit1(c_Int_OPls) = v0 & $i(v1) & $i(v0) & ! [v2: $i] : !
% 229.09/37.80 | [v3: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~
% 229.09/37.80 | $i(v2) | ~ class_Int_Onumber__ring(v2) | ? [v4: $i] :
% 229.09/37.80 | (c_Groups_Oplus__class_Oplus(v2, v4, v4) = v3 &
% 229.09/37.80 | c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & $i(v3))))
% 229.09/37.80 |
% 229.09/37.80 | ALPHA: (fact_pos2) implies:
% 229.09/37.80 | (167) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 229.09/37.80 | (c_Int_OBit0(v1) = v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 229.09/37.80 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 &
% 229.09/37.80 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v3) & $i(v2) &
% 229.09/37.80 | $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0,
% 229.09/37.80 | v3))
% 229.09/37.80 |
% 229.09/37.80 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J)
% 229.09/37.80 | implies:
% 229.09/37.80 | (168) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 229.09/37.80 | (c_Int_OBit0(v1) = v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 229.09/37.80 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 &
% 229.09/37.80 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v3) & $i(v2) &
% 229.09/37.80 | $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 229.09/37.80 | v0, v3))
% 229.09/37.80 |
% 229.09/37.80 | ALPHA: (fact_nat__mult__2__right) implies:
% 229.09/37.80 | (169) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 229.09/37.80 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.09/37.80 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 229.09/37.80 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 229.09/37.80 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v3) = v4) | ~
% 229.09/37.80 | $i(v3) | ? [v5: $i] :
% 229.09/37.80 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v5 & hAPP(v5,
% 229.09/37.80 | v2) = v4 & $i(v5) & $i(v4))))
% 229.09/37.80 |
% 229.09/37.80 | ALPHA: (fact_nat__mult__2) implies:
% 229.09/37.80 | (170) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 229.09/37.80 | (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 229.09/37.80 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 229.09/37.80 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3 & $i(v3) &
% 229.09/37.80 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~
% 229.09/37.80 | (hAPP(v3, v4) = v5) | ~ $i(v4) |
% 229.09/37.80 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v4, v4) = v5 &
% 229.09/37.80 | $i(v5))))
% 229.09/37.80 |
% 229.09/37.80 | ALPHA: (fact_nat__1__add__1) implies:
% 229.09/37.80 | (171) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 229.09/37.80 | (c_Int_OBit0(v2) = v3 & c_Int_OBit1(c_Int_OPls) = v2 &
% 229.09/37.80 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v1 &
% 229.09/37.80 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v0) = v1 &
% 229.09/37.80 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v3) & $i(v2) &
% 229.09/37.80 | $i(v1) & $i(v0))
% 229.09/37.80 |
% 229.09/37.80 | ALPHA: (fact_real__less__half__sum) implies:
% 229.09/37.80 | (172) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 229.09/37.80 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.09/37.80 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 229.09/37.80 | $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 229.09/37.80 | : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5)
% 229.09/37.80 | | ~ $i(v4) | ~ $i(v3) | ~
% 229.09/37.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v3) | ? [v6:
% 229.09/37.80 | $i] : (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5,
% 229.09/37.80 | v2) = v6 & $i(v6) &
% 229.09/37.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6))))
% 229.09/37.80 |
% 229.09/37.80 | ALPHA: (fact_real__gt__half__sum) implies:
% 229.09/37.80 | (173) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 229.09/37.80 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.09/37.80 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 229.09/37.80 | $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 229.09/37.80 | : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5)
% 229.09/37.80 | | ~ $i(v4) | ~ $i(v3) | ~
% 229.09/37.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v3) | ? [v6:
% 229.09/37.80 | $i] : (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5,
% 229.09/37.80 | v2) = v6 & $i(v6) &
% 229.09/37.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v3))))
% 229.09/37.80 |
% 229.09/37.80 | ALPHA: (fact_half__gt__zero) implies:
% 229.09/37.80 | (174) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit0(v0) = v1 &
% 229.09/37.80 | c_Int_OBit1(c_Int_OPls) = v0 & $i(v1) & $i(v0) & ! [v2: $i] : !
% 229.09/37.80 | [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 229.09/37.80 | (c_Int_Onumber__class_Onumber__of(v3, v1) = v4) | ~
% 229.09/37.80 | (c_Rings_Oinverse__class_Odivide(v3, v2, v4) = v5) | ~ $i(v3) |
% 229.09/37.80 | ~ $i(v2) | ~ class_Int_Onumber__ring(v3) | ~
% 229.09/37.80 | class_Fields_Olinordered__field__inverse__zero(v3) | ? [v6: $i]
% 229.09/37.80 | : (c_Groups_Ozero__class_Ozero(v3) = v6 & $i(v6) & ( ~
% 229.09/37.80 | c_Orderings_Oord__class_Oless(v3, v6, v2) |
% 229.09/37.80 | c_Orderings_Oord__class_Oless(v3, v6, v5)))))
% 229.09/37.80 |
% 229.09/37.80 | ALPHA: (fact_half__gt__zero__iff) implies:
% 229.09/37.80 | (175) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit0(v0) = v1 &
% 229.09/37.80 | c_Int_OBit1(c_Int_OPls) = v0 & $i(v1) & $i(v0) & ! [v2: $i] : !
% 229.09/37.80 | [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 229.09/37.80 | (c_Int_Onumber__class_Onumber__of(v3, v1) = v4) | ~
% 229.09/37.80 | (c_Rings_Oinverse__class_Odivide(v3, v2, v4) = v5) | ~ $i(v3) |
% 229.09/37.80 | ~ $i(v2) | ~ class_Int_Onumber__ring(v3) | ~
% 229.09/37.80 | class_Fields_Olinordered__field__inverse__zero(v3) | ? [v6: $i]
% 229.09/37.80 | : (c_Groups_Ozero__class_Ozero(v3) = v6 & $i(v6) & ( ~
% 229.09/37.80 | c_Orderings_Oord__class_Oless(v3, v6, v5) |
% 229.09/37.80 | c_Orderings_Oord__class_Oless(v3, v6, v2)) & ( ~
% 229.09/37.80 | c_Orderings_Oord__class_Oless(v3, v6, v2) |
% 229.09/37.80 | c_Orderings_Oord__class_Oless(v3, v6, v5)))))
% 229.09/37.80 |
% 229.09/37.80 | ALPHA: (fact_int__pos__lt__two__imp__zero__or__one) implies:
% 229.09/37.80 | (176) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 229.09/37.80 | (c_Int_OBit0(v1) = v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 229.09/37.80 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 &
% 229.09/37.80 | c_Groups_Oone__class_Oone(tc_Int_Oint) = v4 &
% 229.09/37.80 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v4) & $i(v3) &
% 229.09/37.80 | $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : (v5 = v4 | v5 = v0 | ~
% 229.09/37.80 | $i(v5) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0,
% 229.09/37.80 | v5) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v5, v3)))
% 229.09/37.80 |
% 229.09/37.80 | ALPHA: (fact_real__sum__of__halves) implies:
% 229.09/37.80 | (177) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 229.09/37.80 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.09/37.80 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 229.09/37.80 | $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 229.09/37.80 | : (v5 = v3 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4,
% 229.09/37.80 | v4) = v5) | ~
% 229.09/37.80 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v3, v2) = v4)
% 229.09/37.80 | | ~ $i(v3)))
% 229.09/37.80 |
% 229.09/37.80 | ALPHA: (fact_DERIV__real__sqrt__generic) implies:
% 229.09/37.80 | (178) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 229.09/37.80 | (c_Int_OBit0(v1) = v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 229.09/37.80 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 229.09/37.80 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) &
% 229.09/37.80 | $i(v2) & $i(v1) & $i(v0) & ? [v4: $i] : ! [v5: $i] : ! [v6: $i]
% 229.09/37.80 | : (v5 = v0 | ~ (hAPP(c_NthRoot_Osqrt, v5) = v6) | ~ $i(v5) | ~
% 229.09/37.80 | $i(v4) | c_Deriv_Oderiv(tc_RealDef_Oreal, c_NthRoot_Osqrt, v5,
% 229.09/37.80 | v4) | ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] :
% 229.09/37.80 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v6) = v7 &
% 229.09/37.80 | $i(v7) & (( ~ (v10 = v4) &
% 229.09/37.80 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v7) = v9
% 229.09/37.80 | & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v9, v3)
% 229.09/37.80 | = v10 & $i(v10) & $i(v9) &
% 229.09/37.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v0)) |
% 229.09/37.80 | ( ~ (v8 = v4) &
% 229.09/37.80 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v7, v3) =
% 229.09/37.80 | v8 & $i(v8) &
% 229.09/37.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 229.09/37.80 | v5))))))
% 229.09/37.80 |
% 229.09/37.80 | ALPHA: (fact_DERIV__const__average) implies:
% 229.09/37.80 | (179) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 229.09/37.80 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.09/37.80 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 229.09/37.80 | $i(v2) & $i(v1) & $i(v0) & ? [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 229.09/37.80 | : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : (v6 = v5
% 229.09/37.80 | | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v5) = v7)
% 229.09/37.80 | | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v7, v2) =
% 229.09/37.80 | v8) | ~ (hAPP(v4, v8) = v9) | ~ $i(v6) | ~ $i(v5) | ~
% 229.09/37.80 | $i(v4) | ~ $i(v3) | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] :
% 229.09/37.80 | ? [v13: $i] : ? [v14: $i] : ($i(v14) & ( ~
% 229.09/37.80 | c_Deriv_Oderiv(tc_RealDef_Oreal, v4, v14, v3) | (v13 = v9 &
% 229.09/37.80 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v10, v11) =
% 229.09/37.80 | v12 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 229.09/37.80 | v12, v2) = v9 & hAPP(v4, v6) = v10 & hAPP(v4, v5) = v11 &
% 229.09/37.80 | $i(v12) & $i(v11) & $i(v10) & $i(v9))))))
% 229.09/37.80 |
% 229.09/37.80 | ALPHA: (fact_real__sqrt__lt__1__iff) implies:
% 229.09/37.80 | (180) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 229.09/37.80 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1)
% 229.09/37.80 | = v2) | ~ $i(v1) | ~
% 229.09/37.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v0) |
% 229.09/37.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0)) & !
% 229.09/37.80 | [v1: $i] : ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1) = v2) | ~
% 229.09/37.80 | $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 229.09/37.80 | v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v0)))
% 229.09/37.80 |
% 229.09/37.80 | ALPHA: (fact_real__sqrt__gt__1__iff) implies:
% 229.09/37.80 | (181) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 229.09/37.80 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1)
% 229.09/37.80 | = v2) | ~ $i(v1) | ~
% 229.09/37.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 229.09/37.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1)) & !
% 229.09/37.80 | [v1: $i] : ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1) = v2) | ~
% 229.09/37.80 | $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 229.09/37.80 | v1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2)))
% 229.09/37.80 |
% 229.09/37.80 | ALPHA: (fact_real__sqrt__ge__1__iff) implies:
% 229.09/37.80 | (182) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 229.09/37.80 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1)
% 229.09/37.80 | = v2) | ~ $i(v1) | ~
% 229.09/37.80 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) |
% 229.09/37.80 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1)) & !
% 229.09/37.80 | [v1: $i] : ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1) = v2) | ~
% 229.09/37.80 | $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 229.09/37.80 | v0, v1) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 229.09/37.80 | v0, v2)))
% 229.09/37.80 |
% 229.09/37.80 | ALPHA: (fact_real__sqrt__le__1__iff) implies:
% 229.09/37.80 | (183) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 229.09/37.80 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1)
% 229.09/37.80 | = v2) | ~ $i(v1) | ~
% 229.09/37.80 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) |
% 229.09/37.80 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0)) & !
% 229.09/37.80 | [v1: $i] : ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1) = v2) | ~
% 229.09/37.80 | $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 229.09/37.80 | v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 229.09/37.80 | v2, v0)))
% 229.09/37.80 |
% 229.09/37.80 | ALPHA: (fact_real__sqrt__ge__one) implies:
% 229.09/37.80 | (184) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 229.09/37.80 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1)
% 229.09/37.80 | = v2) | ~ $i(v1) | ~
% 229.09/37.80 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) |
% 229.09/37.80 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2)))
% 229.09/37.80 |
% 229.09/37.80 | ALPHA: (fact_real__sqrt__eq__1__iff) implies:
% 229.09/37.80 | (185) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 229.09/37.80 | $i(v0) & ! [v1: $i] : (v1 = v0 | ~ (hAPP(c_NthRoot_Osqrt, v1) =
% 229.09/37.80 | v0) | ~ $i(v1)) & ! [v1: $i] : (v1 = v0 | ~
% 229.09/37.80 | (hAPP(c_NthRoot_Osqrt, v0) = v1)))
% 229.09/37.80 |
% 229.09/37.80 | ALPHA: (fact_real__sqrt__one) implies:
% 229.09/37.80 | (186) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 229.09/37.80 | hAPP(c_NthRoot_Osqrt, v0) = v0 & $i(v0))
% 229.09/37.80 |
% 229.09/37.80 | ALPHA: (fact_real__sqrt__gt__zero) implies:
% 229.09/37.80 | (187) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 229.09/37.80 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1)
% 229.09/37.80 | = v2) | ~ $i(v1) | ~
% 229.09/37.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) |
% 229.09/37.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2)))
% 229.09/37.80 |
% 229.09/37.80 | ALPHA: (fact_real__sqrt__not__eq__zero) implies:
% 229.09/37.80 | (188) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 229.09/37.80 | $i(v0) & ! [v1: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1) = v0) | ~
% 229.09/37.80 | $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 229.09/37.80 | v1)))
% 229.09/37.80 |
% 229.09/37.80 | ALPHA: (fact_real__sqrt__lt__0__iff) implies:
% 229.09/37.81 | (189) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 229.09/37.81 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1)
% 229.09/37.81 | = v2) | ~ $i(v1) | ~
% 229.09/37.81 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v0) |
% 229.09/37.81 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0)) & !
% 229.09/37.81 | [v1: $i] : ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1) = v2) | ~
% 229.09/37.81 | $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 229.09/37.81 | v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v0)))
% 229.09/37.81 |
% 229.09/37.81 | ALPHA: (fact_real__sqrt__gt__0__iff) implies:
% 229.20/37.81 | (190) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 229.20/37.81 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1)
% 229.20/37.81 | = v2) | ~ $i(v1) | ~
% 229.20/37.81 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 229.20/37.81 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1)) & !
% 229.20/37.81 | [v1: $i] : ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1) = v2) | ~
% 229.20/37.81 | $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 229.20/37.81 | v1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2)))
% 229.20/37.81 |
% 229.20/37.81 | ALPHA: (fact_real__sqrt__ge__0__iff) implies:
% 229.20/37.81 | (191) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 229.20/37.81 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1)
% 229.20/37.81 | = v2) | ~ $i(v1) | ~
% 229.20/37.81 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) |
% 229.20/37.81 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1)) & !
% 229.20/37.81 | [v1: $i] : ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1) = v2) | ~
% 229.20/37.81 | $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 229.20/37.81 | v0, v1) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 229.20/37.81 | v0, v2)))
% 229.20/37.81 |
% 229.20/37.81 | ALPHA: (fact_real__sqrt__le__0__iff) implies:
% 229.20/37.81 | (192) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 229.20/37.81 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1)
% 229.20/37.81 | = v2) | ~ $i(v1) | ~
% 229.20/37.81 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) |
% 229.20/37.81 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0)) & !
% 229.20/37.81 | [v1: $i] : ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1) = v2) | ~
% 229.20/37.81 | $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 229.20/37.81 | v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 229.20/37.81 | v2, v0)))
% 229.20/37.81 |
% 229.20/37.81 | ALPHA: (fact_real__sqrt__ge__zero) implies:
% 229.20/37.81 | (193) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 229.20/37.81 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v1)
% 229.20/37.81 | = v2) | ~ $i(v1) | ~
% 229.20/37.81 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) |
% 229.20/37.81 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2)))
% 229.20/37.81 |
% 229.20/37.81 | ALPHA: (fact_real__sqrt__eq__zero__cancel) implies:
% 229.20/37.81 | (194) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 229.20/37.81 | $i(v0) & ! [v1: $i] : (v1 = v0 | ~ (hAPP(c_NthRoot_Osqrt, v1) =
% 229.20/37.81 | v0) | ~ $i(v1) | ~
% 229.20/37.81 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1)))
% 229.20/37.81 |
% 229.20/37.81 | ALPHA: (fact_real__sqrt__eq__0__iff) implies:
% 229.20/37.81 | (195) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 229.20/37.81 | $i(v0) & ! [v1: $i] : (v1 = v0 | ~ (hAPP(c_NthRoot_Osqrt, v1) =
% 229.20/37.81 | v0) | ~ $i(v1)) & ! [v1: $i] : (v1 = v0 | ~
% 229.20/37.81 | (hAPP(c_NthRoot_Osqrt, v0) = v1)))
% 229.20/37.81 |
% 229.20/37.81 | ALPHA: (fact_real__sqrt__zero) implies:
% 229.20/37.81 | (196) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 229.20/37.81 | hAPP(c_NthRoot_Osqrt, v0) = v0 & $i(v0))
% 229.20/37.81 |
% 229.20/37.81 | ALPHA: (fact_real__sqrt__mult__self__sum__ge__zero) implies:
% 229.20/37.81 | (197) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 229.20/37.81 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 229.20/37.81 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 229.20/37.81 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v6) = v7) | ~
% 229.20/37.81 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) = v3) | ~
% 229.20/37.81 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1) = v5) | ~
% 229.20/37.81 | (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v2) = v4) | ~ $i(v2) | ~
% 229.20/37.81 | $i(v1) | ? [v8: $i] : (hAPP(c_NthRoot_Osqrt, v7) = v8 & $i(v8) &
% 229.20/37.81 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v8))))
% 229.20/37.81 |
% 229.20/37.81 | ALPHA: (fact_sqrt__divide__self__eq) implies:
% 229.20/37.81 | (198) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 229.20/37.81 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 229.20/37.81 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1) = v3)
% 229.20/37.81 | | ~ (hAPP(c_NthRoot_Osqrt, v1) = v2) | ~ $i(v1) | ~
% 229.20/37.81 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) |
% 229.20/37.81 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v2) = v3 &
% 229.20/37.81 | $i(v3))))
% 229.20/37.81 |
% 229.20/37.81 | ALPHA: (fact_real__sqrt__two__ge__zero) implies:
% 229.20/37.81 | (199) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 229.20/37.81 | (c_Int_OBit0(v1) = v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 229.20/37.81 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 229.20/37.81 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 229.20/37.81 | hAPP(c_NthRoot_Osqrt, v3) = v4 & $i(v4) & $i(v3) & $i(v2) & $i(v1)
% 229.20/37.81 | & $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 229.20/37.81 | v4))
% 229.20/37.81 |
% 229.20/37.81 | ALPHA: (fact_real__sqrt__two__gt__zero) implies:
% 229.20/37.81 | (200) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 229.20/37.81 | (c_Int_OBit0(v1) = v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 229.20/37.81 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 229.20/37.81 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 229.20/37.81 | hAPP(c_NthRoot_Osqrt, v3) = v4 & $i(v4) & $i(v3) & $i(v2) & $i(v1)
% 229.20/37.81 | & $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4))
% 229.20/37.81 |
% 229.20/37.81 | ALPHA: (fact_real__sqrt__two__gt__one) implies:
% 229.20/37.81 | (201) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 229.20/37.81 | (c_Int_OBit0(v1) = v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 229.20/37.81 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 229.20/37.81 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 229.20/37.81 | hAPP(c_NthRoot_Osqrt, v3) = v4 & $i(v4) & $i(v3) & $i(v2) & $i(v1)
% 229.20/37.81 | & $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4))
% 229.20/37.81 |
% 229.20/37.81 | ALPHA: (fact_lemma__real__divide__sqrt__less) implies:
% 229.20/37.81 | (202) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 229.20/37.81 | (c_Int_OBit0(v1) = v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 229.20/37.81 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 229.20/37.81 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 229.20/37.81 | hAPP(c_NthRoot_Osqrt, v3) = v4 & $i(v4) & $i(v3) & $i(v2) & $i(v1)
% 229.20/37.81 | & $i(v0) & ! [v5: $i] : ! [v6: $i] : ( ~
% 229.20/37.81 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v4) = v6)
% 229.20/37.81 | | ~ $i(v5) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.20/37.81 | v0, v5) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6,
% 229.20/37.81 | v5)))
% 229.20/37.81 |
% 229.20/37.81 | ALPHA: (fact_DERIV__real__sqrt) implies:
% 229.20/37.81 | (203) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 229.20/37.81 | (c_Int_OBit0(v1) = v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 229.20/37.81 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 229.20/37.81 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) &
% 229.20/37.81 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~
% 229.20/37.81 | (hAPP(c_NthRoot_Osqrt, v4) = v5) | ~ $i(v4) | ~
% 229.20/37.81 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) | ? [v6:
% 229.20/37.81 | $i] : ? [v7: $i] :
% 229.20/37.81 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v5) = v6 &
% 229.20/37.81 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v3) = v7
% 229.20/37.81 | & $i(v7) & $i(v6) & c_Deriv_Oderiv(tc_RealDef_Oreal,
% 229.20/37.81 | c_NthRoot_Osqrt, v4, v7))))
% 229.20/37.81 |
% 229.20/37.81 | ALPHA: (fact_lemma__sqrt__hcomplex__capprox) implies:
% 229.20/37.81 | (204) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 229.20/37.81 | (c_Int_OBit0(v1) = v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 229.20/37.81 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v4 &
% 229.20/37.81 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 229.20/37.81 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v4) &
% 229.20/37.81 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : !
% 229.20/37.81 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i]
% 229.20/37.81 | : ( ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v6, v4) = v9)
% 229.20/37.81 | | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v4) =
% 229.20/37.81 | v10) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v9,
% 229.20/37.81 | v10) = v11) | ~
% 229.20/37.81 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v7, v3) = v8)
% 229.20/37.81 | | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~
% 229.20/37.81 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v6) | ~
% 229.20/37.81 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v5) | ~
% 229.20/37.81 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v8) | ~
% 229.20/37.81 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v8) | ~
% 229.20/37.81 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v7) | ?
% 229.20/37.81 | [v12: $i] : (hAPP(c_NthRoot_Osqrt, v11) = v12 & $i(v12) &
% 229.20/37.81 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v7))))
% 229.20/37.81 |
% 229.20/37.81 | ALPHA: (fact_real__sqrt__sum__squares__mult__ge__zero) implies:
% 229.20/37.81 | (205) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 229.20/37.81 | (c_Int_OBit0(v1) = v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 229.20/37.81 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 &
% 229.20/37.81 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) &
% 229.20/37.81 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i]
% 229.20/37.81 | : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11:
% 229.20/37.81 | $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] :
% 229.20/37.81 | ( ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v7, v3) = v8) |
% 229.20/37.81 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v6, v3) = v9)
% 229.20/37.81 | | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v3) =
% 229.20/37.81 | v12) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4,
% 229.20/37.81 | v3) = v13) | ~
% 229.20/37.81 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v12, v13) = v14) |
% 229.20/37.81 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v8, v9) = v10)
% 229.20/37.81 | | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v10) = v11)
% 229.20/37.81 | | ~ (hAPP(v11, v14) = v15) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) |
% 229.20/37.81 | ~ $i(v4) | ? [v16: $i] : (hAPP(c_NthRoot_Osqrt, v15) = v16 &
% 229.20/37.81 | $i(v16) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 229.20/37.81 | v0, v16))))
% 229.20/37.81 |
% 229.20/37.81 | ALPHA: (fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J)
% 229.20/37.81 | implies:
% 229.20/37.81 | (206) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.20/37.81 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 229.20/37.81 | (c_Power_Opower__class_Opower(v2, v1, v0) = v3) | ~ $i(v2) | ~
% 229.20/37.81 | $i(v1) | ~ class_Rings_Ocomm__semiring__1(v2) |
% 229.20/37.81 | (c_Groups_Oone__class_Oone(v2) = v3 & $i(v3))))
% 229.20/37.81 |
% 229.20/37.81 | ALPHA: (fact_power__eq__0__iff__number__of) implies:
% 229.20/37.81 | (207) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.20/37.81 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 229.20/37.81 | $i] : ( ~ (c_Power_Opower__class_Opower(v3, v2, v4) = v5) | ~
% 229.20/37.81 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v4) | ~
% 229.20/37.81 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ class_Power_Opower(v3) | ~
% 229.20/37.81 | class_Rings_Ozero__neq__one(v3) | ~ class_Rings_Omult__zero(v3)
% 229.20/37.81 | | ~ class_Rings_Ono__zero__divisors(v3) | ? [v6: $i] :
% 229.20/37.81 | (c_Groups_Ozero__class_Ozero(v3) = v6 & $i(v6) & ( ~ (v6 = v5) |
% 229.20/37.81 | (v5 = v2 & ~ (v4 = v0))) & ( ~ (v6 = v2) | v5 = v2 | v4 =
% 229.20/37.81 | v0))))
% 229.20/37.81 |
% 229.20/37.81 | ALPHA: (fact_power__0__left__number__of) implies:
% 229.20/37.81 | (208) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.20/37.81 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 229.20/37.81 | $i] : (v5 = v4 | v3 = v0 | ~ (c_Power_Opower__class_Opower(v2,
% 229.20/37.81 | v4, v3) = v5) | ~
% 229.20/37.81 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v3) | ~
% 229.20/37.81 | (c_Groups_Ozero__class_Ozero(v2) = v4) | ~ $i(v2) | ~ $i(v1) |
% 229.20/37.81 | ~ class_Rings_Osemiring__0(v2) | ~ class_Power_Opower(v2)) & !
% 229.20/37.81 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 229.20/37.81 | (c_Power_Opower__class_Opower(v2, v3, v0) = v4) | ~
% 229.20/37.81 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v0) | ~
% 229.20/37.81 | (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ $i(v2) | ~ $i(v1) |
% 229.20/37.81 | ~ class_Rings_Osemiring__0(v2) | ~ class_Power_Opower(v2) |
% 229.20/37.81 | (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4))))
% 229.20/37.81 |
% 229.20/37.81 | ALPHA: (fact_power3__eq__cube) implies:
% 229.20/37.81 | (209) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(v0) = v1 &
% 229.20/37.81 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.20/37.81 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 229.20/37.81 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 229.20/37.81 | (c_Power_Opower__class_Opower(v4, v3, v2) = v5) | ~ $i(v4) | ~
% 229.20/37.81 | $i(v3) | ~ class_Groups_Omonoid__mult(v4) | ? [v6: $i] : ?
% 229.20/37.81 | [v7: $i] : ? [v8: $i] : (c_Groups_Otimes__class_Otimes(v4, v7) =
% 229.20/37.81 | v8 & c_Groups_Otimes__class_Otimes(v4, v3) = v6 & hAPP(v8, v3)
% 229.20/37.81 | = v5 & hAPP(v6, v3) = v7 & $i(v8) & $i(v7) & $i(v6) & $i(v5))))
% 229.20/37.81 |
% 229.20/37.81 | ALPHA: (fact_zero__power2) implies:
% 229.20/37.81 | (210) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 229.20/37.81 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.20/37.81 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 229.20/37.81 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 =
% 229.20/37.81 | v4 | ~ (c_Power_Opower__class_Opower(v3, v4, v2) = v5) | ~
% 229.20/37.81 | (c_Groups_Ozero__class_Ozero(v3) = v4) | ~ $i(v3) | ~
% 229.20/37.81 | class_Rings_Osemiring__1(v3)))
% 229.20/37.81 |
% 229.20/37.81 | ALPHA: (fact_zero__eq__power2) implies:
% 229.20/37.81 | (211) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 229.20/37.81 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.20/37.81 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 229.20/37.81 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 229.20/37.81 | (c_Power_Opower__class_Opower(v4, v3, v2) = v5) | ~ $i(v4) | ~
% 229.20/37.81 | $i(v3) | ~ class_Rings_Oring__1__no__zero__divisors(v4) | ?
% 229.20/37.81 | [v6: $i] : (c_Groups_Ozero__class_Ozero(v4) = v6 & $i(v6) & ( ~
% 229.20/37.81 | (v6 = v5) | v5 = v3) & ( ~ (v6 = v3) | v5 = v3))))
% 229.20/37.81 |
% 229.20/37.81 | ALPHA: (fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J)
% 229.20/37.81 | implies:
% 229.20/37.81 | (212) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 229.20/37.81 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.20/37.81 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 229.20/37.81 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 229.20/37.81 | (c_Power_Opower__class_Opower(v4, v3, v2) = v5) | ~ $i(v4) | ~
% 229.20/37.81 | $i(v3) | ~ class_Rings_Ocomm__semiring__1(v4) | ? [v6: $i] :
% 229.20/37.81 | (c_Groups_Otimes__class_Otimes(v4, v3) = v6 & hAPP(v6, v3) = v5 &
% 229.20/37.81 | $i(v6) & $i(v5))))
% 229.20/37.81 |
% 229.20/37.81 | ALPHA: (fact_power2__eq__square) implies:
% 229.20/37.81 | (213) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 229.20/37.81 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.20/37.81 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 229.20/37.81 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 229.20/37.81 | (c_Power_Opower__class_Opower(v4, v3, v2) = v5) | ~ $i(v4) | ~
% 229.20/37.81 | $i(v3) | ~ class_Groups_Omonoid__mult(v4) | ? [v6: $i] :
% 229.20/37.81 | (c_Groups_Otimes__class_Otimes(v4, v3) = v6 & hAPP(v6, v3) = v5 &
% 229.20/37.81 | $i(v6) & $i(v5))))
% 229.20/37.81 |
% 229.20/37.81 | ALPHA: (fact_one__power2) implies:
% 229.20/37.81 | (214) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 229.20/37.81 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.20/37.81 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 229.20/37.81 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 =
% 229.20/37.81 | v4 | ~ (c_Power_Opower__class_Opower(v3, v4, v2) = v5) | ~
% 229.20/37.81 | (c_Groups_Oone__class_Oone(v3) = v4) | ~ $i(v3) | ~
% 229.20/37.81 | class_Rings_Osemiring__1(v3)))
% 229.20/37.81 |
% 229.20/37.81 | ALPHA: (fact_power2__minus) implies:
% 229.20/37.81 | (215) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 229.20/37.81 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.20/37.81 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 229.20/37.81 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 229.20/37.81 | $i] : ( ~ (c_Power_Opower__class_Opower(v4, v5, v2) = v6) | ~
% 229.20/37.81 | (c_Groups_Ouminus__class_Ouminus(v4, v3) = v5) | ~ $i(v4) | ~
% 229.20/37.81 | $i(v3) | ~ class_Rings_Oring__1(v4) |
% 229.20/37.81 | (c_Power_Opower__class_Opower(v4, v3, v2) = v6 & $i(v6))))
% 229.20/37.81 |
% 229.20/37.81 | ALPHA: (fact_power__even__eq) implies:
% 229.20/37.82 | (216) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 229.20/37.82 | (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 229.20/37.82 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 229.20/37.82 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3 & $i(v3) &
% 229.20/37.82 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i]
% 229.20/37.82 | : ! [v7: $i] : ! [v8: $i] : ( ~ (c_Power_Opower__class_Opower(v6,
% 229.20/37.82 | v5, v7) = v8) | ~ (hAPP(v3, v4) = v7) | ~ $i(v6) | ~
% 229.20/37.82 | $i(v5) | ~ $i(v4) | ~ class_Groups_Omonoid__mult(v6) | ? [v9:
% 229.20/37.82 | $i] : (c_Power_Opower__class_Opower(v6, v9, v2) = v8 &
% 229.20/37.82 | c_Power_Opower__class_Opower(v6, v5, v4) = v9 & $i(v9) &
% 229.20/37.82 | $i(v8))))
% 229.20/37.82 |
% 229.20/37.82 | ALPHA: (fact_zero__le__power2) implies:
% 229.20/37.82 | (217) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 229.20/37.82 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.20/37.82 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 229.20/37.82 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 229.20/37.82 | (c_Power_Opower__class_Opower(v4, v3, v2) = v5) | ~ $i(v4) | ~
% 229.20/37.82 | $i(v3) | ~ class_Rings_Olinordered__idom(v4) | ? [v6: $i] :
% 229.20/37.82 | (c_Groups_Ozero__class_Ozero(v4) = v6 & $i(v6) &
% 229.20/37.82 | c_Orderings_Oord__class_Oless__eq(v4, v6, v5))))
% 229.20/37.82 |
% 229.20/37.82 | ALPHA: (fact_power2__le__imp__le) implies:
% 229.20/37.82 | (218) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 229.20/37.82 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.20/37.82 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 229.20/37.82 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 229.20/37.82 | $i] : ! [v7: $i] : ( ~ (c_Power_Opower__class_Opower(v5, v4, v2)
% 229.20/37.82 | = v6) | ~ (c_Power_Opower__class_Opower(v5, v3, v2) = v7) | ~
% 229.20/37.82 | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~
% 229.20/37.82 | c_Orderings_Oord__class_Oless__eq(v5, v6, v7) | ~
% 229.20/37.82 | class_Rings_Olinordered__semidom(v5) |
% 229.20/37.82 | c_Orderings_Oord__class_Oless__eq(v5, v4, v3) | ? [v8: $i] :
% 229.20/37.82 | (c_Groups_Ozero__class_Ozero(v5) = v8 & $i(v8) & ~
% 229.20/37.82 | c_Orderings_Oord__class_Oless__eq(v5, v8, v3))))
% 229.20/37.82 |
% 229.20/37.82 | ALPHA: (fact_power2__eq__imp__eq) implies:
% 229.20/37.82 | (219) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 229.20/37.82 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.20/37.82 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 229.20/37.82 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 229.20/37.82 | $i] : (v4 = v3 | ~ (c_Power_Opower__class_Opower(v5, v4, v2) =
% 229.20/37.82 | v6) | ~ (c_Power_Opower__class_Opower(v5, v3, v2) = v6) | ~
% 229.20/37.82 | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~
% 229.20/37.82 | class_Rings_Olinordered__semidom(v5) | ? [v7: $i] :
% 229.20/37.82 | (c_Groups_Ozero__class_Ozero(v5) = v7 & $i(v7) & ( ~
% 229.20/37.82 | c_Orderings_Oord__class_Oless__eq(v5, v7, v4) | ~
% 229.20/37.82 | c_Orderings_Oord__class_Oless__eq(v5, v7, v3)))))
% 229.20/37.82 |
% 229.20/37.82 | ALPHA: (fact_zero__less__power2) implies:
% 229.20/37.82 | (220) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 229.20/37.82 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.20/37.82 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 229.20/37.82 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 229.20/37.82 | (c_Power_Opower__class_Opower(v4, v3, v2) = v5) | ~ $i(v4) | ~
% 229.20/37.82 | $i(v3) | ~ class_Rings_Olinordered__idom(v4) | ? [v6: $i] :
% 229.20/37.82 | (c_Groups_Ozero__class_Ozero(v4) = v6 & $i(v6) & ( ~ (v6 = v3) |
% 229.20/37.82 | ~ c_Orderings_Oord__class_Oless(v4, v3, v5)) & (v6 = v3 |
% 229.20/37.82 | c_Orderings_Oord__class_Oless(v4, v6, v5)))))
% 229.20/37.82 |
% 229.20/37.82 | ALPHA: (fact_power2__less__0) implies:
% 229.20/37.82 | (221) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 229.20/37.82 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.20/37.82 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 229.20/37.82 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 229.20/37.82 | (c_Power_Opower__class_Opower(v4, v3, v2) = v5) | ~ $i(v4) | ~
% 229.20/37.82 | $i(v3) | ~ class_Rings_Olinordered__idom(v4) | ? [v6: $i] :
% 229.20/37.82 | (c_Groups_Ozero__class_Ozero(v4) = v6 & $i(v6) & ~
% 229.20/37.82 | c_Orderings_Oord__class_Oless(v4, v5, v6))))
% 229.20/37.82 |
% 229.20/37.82 | ALPHA: (fact_sum__power2__eq__zero__iff) implies:
% 229.20/37.82 | (222) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 229.20/37.82 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.20/37.82 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 229.20/37.82 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 229.20/37.82 | $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 229.20/37.82 | (c_Power_Opower__class_Opower(v5, v4, v2) = v6) | ~
% 229.20/37.82 | (c_Power_Opower__class_Opower(v5, v3, v2) = v7) | ~
% 229.20/37.82 | (c_Groups_Oplus__class_Oplus(v5, v6, v7) = v8) | ~ $i(v5) | ~
% 229.20/37.82 | $i(v4) | ~ $i(v3) | ~ class_Rings_Olinordered__idom(v5) | ?
% 229.20/37.82 | [v9: $i] : (c_Groups_Ozero__class_Ozero(v5) = v9 & $i(v9) & ( ~
% 229.20/37.82 | (v9 = v8) | (v8 = v3 & v4 = v3)) & ( ~ (v9 = v3) | ~ (v4 =
% 229.20/37.82 | v3) | v8 = v3))))
% 229.20/37.82 |
% 229.20/37.82 | ALPHA: (fact_power2__eq__square__number__of) implies:
% 229.20/37.82 | (223) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 229.20/37.82 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.20/37.82 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 229.20/37.82 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 229.20/37.82 | $i] : ( ~ (c_Power_Opower__class_Opower(v4, v5, v2) = v6) | ~
% 229.20/37.82 | (c_Int_Onumber__class_Onumber__of(v4, v3) = v5) | ~ $i(v4) | ~
% 229.20/37.82 | $i(v3) | ~ class_Int_Onumber(v4) | ~
% 229.20/37.82 | class_Groups_Omonoid__mult(v4) | ? [v7: $i] :
% 229.20/37.82 | (c_Groups_Otimes__class_Otimes(v4, v5) = v7 & hAPP(v7, v5) = v6 &
% 229.20/37.82 | $i(v7) & $i(v6))))
% 229.20/37.82 |
% 229.20/37.82 | ALPHA: (fact_power2__eq__1__iff) implies:
% 229.20/37.82 | (224) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 229.20/37.82 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.20/37.82 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 229.20/37.82 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 229.20/37.82 | (c_Power_Opower__class_Opower(v4, v3, v2) = v5) | ~ $i(v4) | ~
% 229.20/37.82 | $i(v3) | ~ class_Rings_Oring__1__no__zero__divisors(v4) | ?
% 229.20/37.82 | [v6: $i] : ? [v7: $i] : (c_Groups_Oone__class_Oone(v4) = v6 &
% 229.20/37.82 | $i(v6) & ( ~ (v6 = v5) | v5 = v3 | (v7 = v3 &
% 229.20/37.82 | c_Groups_Ouminus__class_Ouminus(v4, v5) = v3)) & (v6 = v5 |
% 229.20/37.82 | ( ~ (v7 = v3) & ~ (v6 = v3) &
% 229.20/37.82 | c_Groups_Ouminus__class_Ouminus(v4, v6) = v7 & $i(v7))))))
% 229.20/37.82 |
% 229.20/37.82 | ALPHA: (fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J)
% 229.20/37.82 | implies:
% 229.20/37.82 | (225) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 229.20/37.82 | (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 229.20/37.82 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 229.20/37.82 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3 & $i(v3) &
% 229.20/37.82 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i]
% 229.20/37.82 | : ! [v7: $i] : ! [v8: $i] : ( ~ (c_Power_Opower__class_Opower(v6,
% 229.20/37.82 | v5, v7) = v8) | ~ (hAPP(v3, v4) = v7) | ~ $i(v6) | ~
% 229.20/37.82 | $i(v5) | ~ $i(v4) | ~ class_Rings_Ocomm__semiring__1(v6) | ?
% 229.20/37.82 | [v9: $i] : ? [v10: $i] : (c_Power_Opower__class_Opower(v6, v5,
% 229.20/37.82 | v4) = v9 & c_Groups_Otimes__class_Otimes(v6, v9) = v10 &
% 229.20/37.82 | hAPP(v10, v9) = v8 & $i(v10) & $i(v9) & $i(v8))))
% 229.20/37.82 |
% 229.20/37.82 | ALPHA: (fact_ring__1__class_Opower__minus__even) implies:
% 229.20/37.82 | (226) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 229.20/37.82 | (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 229.20/37.82 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 229.20/37.82 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3 & $i(v3) &
% 229.20/37.82 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i]
% 229.20/37.82 | : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 229.20/37.82 | (c_Power_Opower__class_Opower(v6, v7, v8) = v9) | ~
% 229.20/37.82 | (c_Groups_Ouminus__class_Ouminus(v6, v5) = v7) | ~ (hAPP(v3, v4)
% 229.20/37.82 | = v8) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~
% 229.20/37.82 | class_Rings_Oring__1(v6) | (c_Power_Opower__class_Opower(v6, v5,
% 229.20/37.82 | v8) = v9 & $i(v9))))
% 229.20/37.82 |
% 229.20/37.82 | ALPHA: (fact_realpow__two__sum__zero__iff) implies:
% 229.20/37.82 | (227) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 229.20/37.82 | (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 229.20/37.82 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 229.20/37.82 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v3 & $i(v3) &
% 229.20/37.82 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i]
% 229.20/37.82 | : ! [v7: $i] : (v5 = v3 | ~
% 229.20/37.82 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) = v6) |
% 229.20/37.82 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v7) |
% 229.20/37.82 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v7) = v3) |
% 229.20/37.82 | ~ $i(v5) | ~ $i(v4)) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i]
% 229.20/37.82 | : ! [v7: $i] : (v4 = v3 | ~
% 229.20/37.82 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) = v6) |
% 229.20/37.82 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v7) |
% 229.20/37.82 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v7) = v3) |
% 229.20/37.82 | ~ $i(v5) | ~ $i(v4)) & ! [v4: $i] : ! [v5: $i] : (v5 = v3 |
% 229.20/37.82 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, v2) = v4) |
% 229.20/37.82 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v4) = v5)))
% 229.20/37.82 |
% 229.20/37.82 | ALPHA: (fact_four__x__squared) implies:
% 229.20/37.82 | (228) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 229.20/37.82 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : (c_Int_OBit0(v1) = v2 &
% 229.20/37.82 | c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 229.20/37.82 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v5 &
% 229.20/37.82 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 229.20/37.82 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v6 &
% 229.20/37.82 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v6) = v7 &
% 229.20/37.82 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3) = v4 & $i(v7) &
% 229.20/37.82 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & !
% 229.20/37.82 | [v8: $i] : ! [v9: $i] : ( ~ (hAPP(v7, v8) = v9) | ~ $i(v8) | ?
% 229.20/37.82 | [v10: $i] : ? [v11: $i] :
% 229.20/37.82 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v9, v5) = v11 &
% 229.20/37.82 | c_Power_Opower__class_Opower(tc_RealDef_Oreal, v8, v5) = v10 &
% 229.20/37.82 | hAPP(v4, v10) = v11 & $i(v11) & $i(v10))))
% 229.20/37.82 |
% 229.20/37.82 | ALPHA: (fact_two__realpow__ge__one) implies:
% 229.20/37.82 | (229) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 229.20/37.82 | (c_Int_OBit0(v1) = v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 229.20/37.82 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 229.20/37.82 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2)
% 229.20/37.82 | & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~
% 229.20/37.82 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, v4) = v5) |
% 229.20/37.82 | ~ $i(v4) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 229.20/37.82 | v0, v5)))
% 229.20/37.82 |
% 229.20/37.82 | ALPHA: (fact_realpow__square__minus__le) implies:
% 229.20/37.82 | (230) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 229.20/37.82 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.20/37.82 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 229.20/37.82 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 229.20/37.82 | $i] : ( ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2)
% 229.20/37.82 | = v5) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3,
% 229.20/37.82 | v2) = v6) | ~ $i(v4) | ~ $i(v3) | ? [v7: $i] :
% 229.20/37.82 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v5) = v7 &
% 229.20/37.82 | $i(v7) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 229.20/37.82 | v7, v6))))
% 229.20/37.82 |
% 229.20/37.82 | ALPHA: (fact_power2__less__imp__less) implies:
% 229.20/37.82 | (231) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 229.20/37.82 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.20/37.82 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 229.20/37.82 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 229.20/37.82 | $i] : ! [v7: $i] : ( ~ (c_Power_Opower__class_Opower(v5, v4, v2)
% 229.20/37.82 | = v6) | ~ (c_Power_Opower__class_Opower(v5, v3, v2) = v7) | ~
% 229.20/37.82 | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~
% 229.20/37.82 | class_Rings_Olinordered__semidom(v5) | ~
% 229.20/37.82 | c_Orderings_Oord__class_Oless(v5, v6, v7) |
% 229.20/37.82 | c_Orderings_Oord__class_Oless(v5, v4, v3) | ? [v8: $i] :
% 229.20/37.82 | (c_Groups_Ozero__class_Ozero(v5) = v8 & $i(v8) & ~
% 229.20/37.82 | c_Orderings_Oord__class_Oless__eq(v5, v8, v3))))
% 229.20/37.82 |
% 229.20/37.82 | ALPHA: (fact_sum__power2__ge__zero) implies:
% 229.20/37.82 | (232) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 229.20/37.82 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.20/37.82 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 229.20/37.82 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 229.20/37.82 | $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 229.20/37.82 | (c_Power_Opower__class_Opower(v5, v4, v2) = v6) | ~
% 229.20/37.82 | (c_Power_Opower__class_Opower(v5, v3, v2) = v7) | ~
% 229.20/37.82 | (c_Groups_Oplus__class_Oplus(v5, v6, v7) = v8) | ~ $i(v5) | ~
% 229.20/37.82 | $i(v4) | ~ $i(v3) | ~ class_Rings_Olinordered__idom(v5) | ?
% 229.20/37.82 | [v9: $i] : (c_Groups_Ozero__class_Ozero(v5) = v9 & $i(v9) &
% 229.20/37.82 | c_Orderings_Oord__class_Oless__eq(v5, v9, v8))))
% 229.20/37.82 |
% 229.20/37.82 | ALPHA: (fact_sum__power2__le__zero__iff) implies:
% 229.20/37.82 | (233) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 229.20/37.82 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.20/37.82 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 229.20/37.82 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 229.20/37.82 | $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 229.20/37.82 | (c_Power_Opower__class_Opower(v5, v4, v2) = v6) | ~
% 229.20/37.82 | (c_Power_Opower__class_Opower(v5, v3, v2) = v7) | ~
% 229.20/37.82 | (c_Groups_Oplus__class_Oplus(v5, v6, v7) = v8) | ~ $i(v5) | ~
% 229.20/37.82 | $i(v4) | ~ $i(v3) | ~ class_Rings_Olinordered__idom(v5) | ?
% 229.20/37.82 | [v9: $i] : (c_Groups_Ozero__class_Ozero(v5) = v9 & $i(v9) & ( ~
% 229.20/37.82 | (v9 = v3) | ~ (v4 = v3) |
% 229.20/37.82 | c_Orderings_Oord__class_Oless__eq(v5, v8, v3)) & ( ~
% 229.20/37.82 | c_Orderings_Oord__class_Oless__eq(v5, v8, v9) | (v9 = v3 & v4
% 229.20/37.82 | = v3)))))
% 229.20/37.82 |
% 229.20/37.82 | ALPHA: (fact_not__sum__power2__lt__zero) implies:
% 229.20/37.82 | (234) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 229.20/37.82 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.20/37.82 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 229.20/37.82 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 229.20/37.82 | $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 229.20/37.82 | (c_Power_Opower__class_Opower(v5, v4, v2) = v6) | ~
% 229.20/37.82 | (c_Power_Opower__class_Opower(v5, v3, v2) = v7) | ~
% 229.20/37.82 | (c_Groups_Oplus__class_Oplus(v5, v6, v7) = v8) | ~ $i(v5) | ~
% 229.20/37.82 | $i(v4) | ~ $i(v3) | ~ class_Rings_Olinordered__idom(v5) | ?
% 229.20/37.82 | [v9: $i] : (c_Groups_Ozero__class_Ozero(v5) = v9 & $i(v9) & ~
% 229.20/37.82 | c_Orderings_Oord__class_Oless(v5, v8, v9))))
% 229.20/37.82 |
% 229.20/37.82 | ALPHA: (fact_sum__power2__gt__zero__iff) implies:
% 229.20/37.82 | (235) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 229.20/37.82 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.20/37.82 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 229.20/37.82 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 229.20/37.82 | $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 229.20/37.82 | (c_Power_Opower__class_Opower(v5, v4, v2) = v6) | ~
% 229.20/37.82 | (c_Power_Opower__class_Opower(v5, v3, v2) = v7) | ~
% 229.20/37.82 | (c_Groups_Oplus__class_Oplus(v5, v6, v7) = v8) | ~ $i(v5) | ~
% 229.20/37.82 | $i(v4) | ~ $i(v3) | ~ class_Rings_Olinordered__idom(v5) | ?
% 229.20/37.82 | [v9: $i] : (c_Groups_Ozero__class_Ozero(v5) = v9 & $i(v9) & ( ~
% 229.20/37.82 | (v9 = v3) | ~ (v4 = v3) | ~
% 229.20/37.82 | c_Orderings_Oord__class_Oless(v5, v3, v8)) &
% 229.20/37.82 | (c_Orderings_Oord__class_Oless(v5, v9, v8) | (v9 = v3 & v4 =
% 229.20/37.82 | v3)))))
% 229.20/37.82 |
% 229.20/37.82 | ALPHA: (fact_power2__sum) implies:
% 229.20/37.82 | (236) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 229.20/37.82 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.20/37.82 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 229.20/37.82 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 229.20/37.82 | $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : !
% 229.20/37.82 | [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ( ~
% 229.20/37.82 | (c_Power_Opower__class_Opower(v5, v4, v2) = v6) | ~
% 229.20/37.82 | (c_Power_Opower__class_Opower(v5, v3, v2) = v7) | ~
% 229.20/37.82 | (c_Int_Onumber__class_Onumber__of(v5, v1) = v9) | ~
% 229.20/37.82 | (c_Groups_Oplus__class_Oplus(v5, v8, v13) = v14) | ~
% 229.20/37.82 | (c_Groups_Oplus__class_Oplus(v5, v6, v7) = v8) | ~
% 229.20/37.82 | (c_Groups_Otimes__class_Otimes(v5, v11) = v12) | ~
% 229.20/37.82 | (c_Groups_Otimes__class_Otimes(v5, v9) = v10) | ~ (hAPP(v12, v3)
% 229.20/37.82 | = v13) | ~ (hAPP(v10, v4) = v11) | ~ $i(v5) | ~ $i(v4) | ~
% 229.20/37.82 | $i(v3) | ~ class_Int_Onumber__ring(v5) | ? [v15: $i] :
% 229.20/37.82 | (c_Power_Opower__class_Opower(v5, v15, v2) = v14 &
% 229.20/37.82 | c_Groups_Oplus__class_Oplus(v5, v4, v3) = v15 & $i(v15) &
% 229.20/37.82 | $i(v14))))
% 229.20/37.82 |
% 229.20/37.82 | ALPHA: (fact_even__power__le__0__imp__0) implies:
% 229.28/37.82 | (237) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 229.28/37.82 | (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 229.28/37.82 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 229.28/37.82 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3 & $i(v3) &
% 229.28/37.82 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i]
% 229.28/37.82 | : ! [v7: $i] : ! [v8: $i] : ( ~ (c_Power_Opower__class_Opower(v6,
% 229.28/37.82 | v5, v7) = v8) | ~ (hAPP(v3, v4) = v7) | ~ $i(v6) | ~
% 229.28/37.82 | $i(v5) | ~ $i(v4) | ~ class_Rings_Olinordered__idom(v6) | ?
% 229.28/37.82 | [v9: $i] : (c_Groups_Ozero__class_Ozero(v6) = v9 & $i(v9) & (v9 =
% 229.28/37.82 | v5 | ~ c_Orderings_Oord__class_Oless__eq(v6, v8, v9)))))
% 229.28/37.82 |
% 229.28/37.82 | ALPHA: (fact_zero__le__even__power_H) implies:
% 229.28/37.83 | (238) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 229.28/37.83 | (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 229.28/37.83 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 229.28/37.83 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3 & $i(v3) &
% 229.28/37.83 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i]
% 229.28/37.83 | : ! [v7: $i] : ! [v8: $i] : ( ~ (c_Power_Opower__class_Opower(v6,
% 229.28/37.83 | v5, v7) = v8) | ~ (hAPP(v3, v4) = v7) | ~ $i(v6) | ~
% 229.28/37.83 | $i(v5) | ~ $i(v4) | ~ class_Rings_Olinordered__idom(v6) | ?
% 229.28/37.83 | [v9: $i] : (c_Groups_Ozero__class_Ozero(v6) = v9 & $i(v9) &
% 229.28/37.83 | c_Orderings_Oord__class_Oless__eq(v6, v9, v8))))
% 229.28/37.83 |
% 229.28/37.83 | ALPHA: (fact_power__minus1__even) implies:
% 229.28/37.83 | (239) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 229.28/37.83 | (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 229.28/37.83 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 229.28/37.83 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3 & $i(v3) &
% 229.28/37.83 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i]
% 229.28/37.83 | : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : (v9 = v6 | ~
% 229.28/37.83 | (c_Power_Opower__class_Opower(v5, v7, v8) = v9) | ~
% 229.28/37.83 | (c_Groups_Ouminus__class_Ouminus(v5, v6) = v7) | ~
% 229.28/37.83 | (c_Groups_Oone__class_Oone(v5) = v6) | ~ (hAPP(v3, v4) = v8) |
% 229.28/37.83 | ~ $i(v5) | ~ $i(v4) | ~ class_Rings_Oring__1(v5)))
% 229.28/37.83 |
% 229.28/37.83 | ALPHA: (fact_real__sqrt__unique) implies:
% 229.28/37.83 | (240) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 229.28/37.83 | (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 229.28/37.83 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 229.28/37.83 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v3 & $i(v3) &
% 229.28/37.83 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i]
% 229.28/37.83 | : (v6 = v5 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5,
% 229.28/37.83 | v2) = v4) | ~ (hAPP(c_NthRoot_Osqrt, v4) = v6) | ~ $i(v5) |
% 229.28/37.83 | ~ $i(v4) | ~
% 229.28/37.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v5)))
% 229.28/37.83 |
% 229.28/37.83 | ALPHA: (fact_real__sqrt__pow2) implies:
% 229.28/37.83 | (241) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 229.28/37.83 | (c_Int_OBit0(v1) = v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 229.28/37.83 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 &
% 229.28/37.83 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) &
% 229.28/37.83 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~
% 229.28/37.83 | (hAPP(c_NthRoot_Osqrt, v4) = v5) | ~ $i(v4) | ~
% 229.28/37.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v4) |
% 229.28/37.83 | c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v3) = v4))
% 229.28/37.83 |
% 229.28/37.83 | ALPHA: (fact_real__sqrt__pow2__iff) implies:
% 229.28/37.83 | (242) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 229.28/37.83 | (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 229.28/37.83 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 229.28/37.83 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v3 & $i(v3) &
% 229.28/37.83 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~
% 229.28/37.83 | (hAPP(c_NthRoot_Osqrt, v4) = v5) | ~ $i(v4) | ~
% 229.28/37.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v4) |
% 229.28/37.83 | c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) = v4) & !
% 229.28/37.83 | [v4: $i] : ! [v5: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v4) = v5) | ~
% 229.28/37.83 | $i(v4) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3,
% 229.28/37.83 | v4) | ? [v6: $i] : ( ~ (v6 = v4) &
% 229.28/37.83 | c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) = v6 &
% 229.28/37.83 | $i(v6))))
% 229.28/37.83 |
% 229.28/37.83 | ALPHA: (fact_real__sqrt__pow2__gt__zero) implies:
% 229.28/37.83 | (243) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 229.28/37.83 | (c_Int_OBit0(v1) = v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 229.28/37.83 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 &
% 229.28/37.83 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) &
% 229.28/37.83 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~
% 229.28/37.83 | (hAPP(c_NthRoot_Osqrt, v4) = v5) | ~ $i(v4) | ~
% 229.28/37.83 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) | ? [v6:
% 229.28/37.83 | $i] : (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v3) =
% 229.28/37.83 | v6 & $i(v6) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.28/37.83 | v0, v6))))
% 229.28/37.83 |
% 229.28/37.83 | ALPHA: (fact_real__sqrt__sum__squares__ge1) implies:
% 229.28/37.83 | (244) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 229.28/37.83 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.28/37.83 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 229.28/37.83 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 229.28/37.83 | $i] : ! [v7: $i] : ( ~
% 229.28/37.83 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v5) |
% 229.28/37.83 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, v2) = v6) |
% 229.28/37.83 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v6) = v7) |
% 229.28/37.83 | ~ $i(v4) | ~ $i(v3) | ? [v8: $i] : (hAPP(c_NthRoot_Osqrt, v7)
% 229.28/37.83 | = v8 & $i(v8) &
% 229.28/37.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v8))))
% 229.28/37.83 |
% 229.28/37.83 | ALPHA: (fact_real__sqrt__sum__squares__ge2) implies:
% 229.28/37.83 | (245) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 229.28/37.83 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.28/37.83 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 229.28/37.83 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 229.28/37.83 | $i] : ! [v7: $i] : ( ~
% 229.28/37.83 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v6) |
% 229.28/37.83 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, v2) = v5) |
% 229.28/37.83 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v6) = v7) |
% 229.28/37.83 | ~ $i(v4) | ~ $i(v3) | ? [v8: $i] : (hAPP(c_NthRoot_Osqrt, v7)
% 229.28/37.83 | = v8 & $i(v8) &
% 229.28/37.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v8))))
% 229.28/37.83 |
% 229.28/37.83 | ALPHA: (fact_real__sqrt__sum__squares__triangle__ineq) implies:
% 229.28/37.83 | (246) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 229.28/37.83 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.28/37.83 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 229.28/37.83 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 229.28/37.83 | $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : !
% 229.28/37.83 | [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15:
% 229.28/37.83 | $i] : ( ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v6, v2)
% 229.28/37.83 | = v7) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5,
% 229.28/37.83 | v2) = v11) | ~
% 229.28/37.83 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v8) |
% 229.28/37.83 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, v2) = v12)
% 229.28/37.83 | | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v11, v12) =
% 229.28/37.83 | v13) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v10,
% 229.28/37.83 | v14) = v15) | ~
% 229.28/37.83 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v7, v8) = v9) | ~
% 229.28/37.83 | (hAPP(c_NthRoot_Osqrt, v13) = v14) | ~ (hAPP(c_NthRoot_Osqrt,
% 229.28/37.83 | v9) = v10) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) |
% 229.28/37.83 | ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ?
% 229.28/37.83 | [v20: $i] : ? [v21: $i] :
% 229.28/37.83 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v18, v2) = v19 &
% 229.28/37.83 | c_Power_Opower__class_Opower(tc_RealDef_Oreal, v16, v2) = v17 &
% 229.28/37.83 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v17, v19) = v20 &
% 229.28/37.83 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v5) = v16 &
% 229.28/37.83 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v18 &
% 229.28/37.83 | hAPP(c_NthRoot_Osqrt, v20) = v21 & $i(v21) & $i(v20) & $i(v19)
% 229.28/37.83 | & $i(v18) & $i(v17) & $i(v16) &
% 229.28/37.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v21,
% 229.28/37.83 | v15))))
% 229.28/37.83 |
% 229.28/37.83 | ALPHA: (fact_real__sqrt__sum__squares__eq__cancel) implies:
% 229.28/37.83 | (247) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 229.28/37.83 | (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 229.28/37.83 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 229.28/37.83 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v3 & $i(v3) &
% 229.28/37.83 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i]
% 229.28/37.83 | : ! [v7: $i] : ! [v8: $i] : (v4 = v3 | ~
% 229.28/37.83 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) = v6) |
% 229.28/37.83 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v7) |
% 229.28/37.83 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v7) = v8) |
% 229.28/37.83 | ~ $i(v5) | ~ $i(v4) | ? [v9: $i] : ( ~ (v9 = v5) &
% 229.28/37.83 | hAPP(c_NthRoot_Osqrt, v8) = v9 & $i(v9))))
% 229.28/37.83 |
% 229.28/37.83 | ALPHA: (fact_real__sqrt__sum__squares__eq__cancel2) implies:
% 229.28/37.83 | (248) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 229.28/37.83 | (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 229.28/37.83 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 229.28/37.83 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v3 & $i(v3) &
% 229.28/37.83 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i]
% 229.28/37.83 | : ! [v7: $i] : ! [v8: $i] : (v5 = v3 | ~
% 229.28/37.83 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) = v6) |
% 229.28/37.83 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v7) |
% 229.28/37.83 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v7) = v8) |
% 229.28/37.83 | ~ $i(v5) | ~ $i(v4) | ? [v9: $i] : ( ~ (v9 = v4) &
% 229.28/37.83 | hAPP(c_NthRoot_Osqrt, v8) = v9 & $i(v9))))
% 229.28/37.83 |
% 229.28/37.83 | ALPHA: (fact_real__sqrt__sum__squares__mult__squared__eq) implies:
% 229.28/37.83 | (249) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 229.28/37.83 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.28/37.83 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 229.28/37.83 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 229.28/37.83 | $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : !
% 229.28/37.83 | [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ( ~
% 229.28/37.83 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v6, v2) = v7) |
% 229.28/37.83 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) = v8) |
% 229.28/37.83 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v11)
% 229.28/37.83 | | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, v2) =
% 229.28/37.83 | v12) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v11,
% 229.28/37.83 | v12) = v13) | ~
% 229.28/37.83 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v7, v8) = v9) | ~
% 229.28/37.83 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v9) = v10) | ~
% 229.28/37.83 | (hAPP(v10, v13) = v14) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~
% 229.28/37.83 | $i(v3) | ? [v15: $i] :
% 229.28/37.83 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v15, v2) = v14 &
% 229.28/37.83 | hAPP(c_NthRoot_Osqrt, v14) = v15 & $i(v15) & $i(v14))))
% 229.28/37.83 |
% 229.28/37.83 | ALPHA: (fact_real__sqrt__sum__squares__ge__zero) implies:
% 229.28/37.83 | (250) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 229.28/37.83 | (c_Int_OBit0(v1) = v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 229.28/37.83 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 &
% 229.28/37.83 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) &
% 229.28/37.83 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i]
% 229.28/37.83 | : ! [v7: $i] : ! [v8: $i] : ( ~
% 229.28/37.83 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v3) = v6) |
% 229.28/37.83 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v3) = v7) |
% 229.28/37.83 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v7) = v8) |
% 229.28/37.83 | ~ $i(v5) | ~ $i(v4) | ? [v9: $i] : (hAPP(c_NthRoot_Osqrt, v8)
% 229.28/37.83 | = v9 & $i(v9) &
% 229.28/37.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v9))))
% 229.28/37.83 |
% 229.28/37.83 | ALPHA: (fact_real__inv__sqrt__pow2) implies:
% 229.28/37.83 | (251) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 229.28/37.83 | (c_Int_OBit0(v1) = v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 229.28/37.83 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 &
% 229.28/37.83 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) &
% 229.28/37.83 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~
% 229.28/37.83 | (hAPP(c_NthRoot_Osqrt, v4) = v5) | ~ $i(v4) | ~
% 229.28/37.83 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) | ? [v6:
% 229.28/37.83 | $i] : ? [v7: $i] :
% 229.28/37.83 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v6, v3) = v7 &
% 229.28/37.83 | c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v5) = v6 &
% 229.28/37.83 | c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v4) = v7 &
% 229.28/37.83 | $i(v7) & $i(v6))))
% 229.28/37.83 |
% 229.28/37.83 | ALPHA: (fact_real__sum__squared__expand) implies:
% 229.28/37.83 | (252) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 229.28/37.83 | (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 229.28/37.83 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 229.28/37.83 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v3 &
% 229.28/37.83 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3) = v4 & $i(v4) &
% 229.28/37.83 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : !
% 229.28/37.83 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i]
% 229.28/37.83 | : ! [v12: $i] : ! [v13: $i] : ( ~
% 229.28/37.83 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v6, v2) = v7) |
% 229.28/37.83 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) = v8) |
% 229.28/37.83 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v9, v12) = v13)
% 229.28/37.83 | | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v7, v8) = v9)
% 229.28/37.83 | | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v10) = v11)
% 229.28/37.83 | | ~ (hAPP(v11, v5) = v12) | ~ (hAPP(v4, v6) = v10) | ~ $i(v6)
% 229.28/37.83 | | ~ $i(v5) | ? [v14: $i] :
% 229.28/37.83 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v14, v2) = v13 &
% 229.28/37.83 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v5) = v14 &
% 229.28/37.83 | $i(v14) & $i(v13))))
% 229.28/37.83 |
% 229.28/37.83 | ALPHA: (fact_power__strict__mono) implies:
% 229.28/37.83 | (253) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.28/37.83 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 229.28/37.83 | $i] : ! [v6: $i] : ( ~ (c_Power_Opower__class_Opower(v4, v3, v1)
% 229.28/37.83 | = v5) | ~ (c_Power_Opower__class_Opower(v4, v2, v1) = v6) | ~
% 229.28/37.83 | $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 229.28/37.83 | class_Rings_Olinordered__semidom(v4) | ~
% 229.28/37.83 | c_Orderings_Oord__class_Oless(v4, v3, v2) | ~
% 229.28/37.83 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) |
% 229.28/37.83 | c_Orderings_Oord__class_Oless(v4, v5, v6) | ? [v7: $i] :
% 229.28/37.83 | (c_Groups_Ozero__class_Ozero(v4) = v7 & $i(v7) & ~
% 229.28/37.83 | c_Orderings_Oord__class_Oless__eq(v4, v7, v3))))
% 229.28/37.83 |
% 229.28/37.83 | ALPHA: (fact_nat__power__less__imp__less) implies:
% 229.28/37.83 | (254) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.28/37.83 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 229.28/37.83 | $i] : ( ~ (c_Power_Opower__class_Opower(tc_Nat_Onat, v3, v2) =
% 229.28/37.83 | v4) | ~ (c_Power_Opower__class_Opower(tc_Nat_Onat, v3, v1) =
% 229.28/37.83 | v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 229.28/37.83 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) | ~
% 229.28/37.83 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) |
% 229.28/37.83 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1)))
% 229.28/37.83 |
% 229.28/37.83 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J)
% 229.28/37.83 | implies:
% 229.28/37.83 | (255) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 229.28/37.83 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 229.28/37.83 | (c_Power_Opower__class_Opower(tc_Int_Oint, v2, v1) = v3) | ~
% 229.28/37.83 | $i(v2) | ~ $i(v1) | ~
% 229.28/37.83 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) |
% 229.28/37.83 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3)))
% 229.28/37.83 |
% 229.28/37.83 | ALPHA: (fact_zero__less__power__nat__eq) implies:
% 229.28/37.83 | (256) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.28/37.83 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 229.28/37.83 | (c_Power_Opower__class_Opower(tc_Nat_Onat, v2, v1) = v3) | ~
% 229.28/37.83 | $i(v2) | ~ $i(v1) | ~
% 229.28/37.83 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) |
% 229.28/37.83 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)) & ! [v1: $i]
% 229.28/37.83 | : ! [v2: $i] : ! [v3: $i] : ( ~
% 229.28/37.83 | (c_Power_Opower__class_Opower(tc_Nat_Onat, v2, v1) = v3) | ~
% 229.28/37.83 | $i(v2) | ~ $i(v1) | ~
% 229.28/37.83 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) |
% 229.28/37.83 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3)) & ! [v1: $i]
% 229.28/37.83 | : ! [v2: $i] : ( ~ (c_Power_Opower__class_Opower(tc_Nat_Onat, v1,
% 229.28/37.83 | v0) = v2) | ~ $i(v1) |
% 229.28/37.83 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)))
% 229.28/37.83 |
% 229.28/37.83 | ALPHA: (fact_zero__less__power__nat__eq__number__of) implies:
% 229.28/37.83 | (257) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.28/37.83 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v0
% 229.28/37.83 | | ~ (c_Power_Opower__class_Opower(tc_Nat_Onat, v2, v3) = v4) |
% 229.28/37.83 | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v3) | ~
% 229.28/37.83 | $i(v2) | ~ $i(v1) | ~
% 229.28/37.83 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v4) |
% 229.28/37.83 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)) & ! [v1: $i]
% 229.28/37.83 | : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 229.28/37.83 | (c_Power_Opower__class_Opower(tc_Nat_Onat, v2, v3) = v4) | ~
% 229.28/37.83 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v3) | ~
% 229.28/37.83 | $i(v2) | ~ $i(v1) | ~
% 229.28/37.83 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) |
% 229.28/37.83 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v4)) & ! [v1: $i]
% 229.28/37.83 | : ! [v2: $i] : ! [v3: $i] : ( ~
% 229.28/37.83 | (c_Power_Opower__class_Opower(tc_Nat_Onat, v2, v0) = v3) | ~
% 229.28/37.83 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v0) | ~
% 229.28/37.83 | $i(v2) | ~ $i(v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 229.28/37.83 | v0, v3)))
% 229.28/37.83 |
% 229.28/37.83 | ALPHA: (fact_power__eq__0__iff) implies:
% 229.28/37.83 | (258) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.28/37.83 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 229.28/37.83 | (c_Power_Opower__class_Opower(v3, v2, v1) = v4) | ~ $i(v3) | ~
% 229.28/37.83 | $i(v2) | ~ $i(v1) | ~ class_Power_Opower(v3) | ~
% 229.28/37.83 | class_Rings_Ozero__neq__one(v3) | ~ class_Rings_Omult__zero(v3)
% 229.28/37.83 | | ~ class_Rings_Ono__zero__divisors(v3) | ? [v5: $i] :
% 229.28/37.83 | (c_Groups_Ozero__class_Ozero(v3) = v5 & $i(v5) & ( ~ (v5 = v4) |
% 229.28/37.83 | (v4 = v2 & ~ (v1 = v0))) & ( ~ (v5 = v2) | v4 = v2 | v1 =
% 229.28/37.83 | v0))))
% 229.28/37.83 |
% 229.28/37.83 | ALPHA: (fact_power__0) implies:
% 229.28/37.83 | (259) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.28/37.83 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 229.28/37.83 | (c_Power_Opower__class_Opower(v2, v1, v0) = v3) | ~ $i(v2) | ~
% 229.28/37.83 | $i(v1) | ~ class_Power_Opower(v2) |
% 229.28/37.83 | (c_Groups_Oone__class_Oone(v2) = v3 & $i(v3))))
% 229.28/37.83 |
% 229.28/37.83 | ALPHA: (fact_power__0__left) implies:
% 229.28/37.84 | (260) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.28/37.84 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v3
% 229.28/37.84 | | v1 = v0 | ~ (c_Power_Opower__class_Opower(v2, v3, v1) = v4) |
% 229.28/37.84 | ~ (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ $i(v2) | ~ $i(v1)
% 229.28/37.84 | | ~ class_Rings_Osemiring__0(v2) | ~ class_Power_Opower(v2)) &
% 229.28/37.84 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 229.28/37.84 | (c_Power_Opower__class_Opower(v1, v2, v0) = v3) | ~
% 229.28/37.84 | (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ $i(v1) | ~
% 229.28/37.84 | class_Rings_Osemiring__0(v1) | ~ class_Power_Opower(v1) |
% 229.28/37.84 | (c_Groups_Oone__class_Oone(v1) = v3 & $i(v3))))
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (fact_power__eq__imp__eq__base) implies:
% 229.28/37.84 | (261) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.28/37.84 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 229.28/37.84 | $i] : (v3 = v1 | ~ (c_Power_Opower__class_Opower(v4, v3, v2) =
% 229.28/37.84 | v5) | ~ (c_Power_Opower__class_Opower(v4, v1, v2) = v5) | ~
% 229.28/37.84 | $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 229.28/37.84 | class_Rings_Olinordered__semidom(v4) | ~
% 229.28/37.84 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) | ? [v6: $i]
% 229.28/37.84 | : (c_Groups_Ozero__class_Ozero(v4) = v6 & $i(v6) & ( ~
% 229.28/37.84 | c_Orderings_Oord__class_Oless__eq(v4, v6, v3) | ~
% 229.28/37.84 | c_Orderings_Oord__class_Oless__eq(v4, v6, v1)))))
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (fact_one__less__power) implies:
% 229.28/37.84 | (262) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 229.28/37.84 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 229.28/37.84 | (c_Power_Opower__class_Opower(v3, v2, v1) = v4) | ~ $i(v3) | ~
% 229.28/37.84 | $i(v2) | ~ $i(v1) | ~ class_Rings_Olinordered__semidom(v3) | ~
% 229.28/37.84 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) | ? [v5: $i]
% 229.28/37.84 | : (c_Groups_Oone__class_Oone(v3) = v5 & $i(v5) & ( ~
% 229.28/37.84 | c_Orderings_Oord__class_Oless(v3, v5, v2) |
% 229.28/37.84 | c_Orderings_Oord__class_Oless(v3, v5, v4)))))
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (fact_csqrt) implies:
% 229.28/37.84 | (263) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit0(v0) = v1 &
% 229.28/37.84 | c_Int_OBit1(c_Int_OPls) = v0 &
% 229.28/37.84 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 229.28/37.84 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 229.28/37.84 | (c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(v3) = v4) | ~
% 229.28/37.84 | $i(v3) | c_Power_Opower__class_Opower(tc_Complex_Ocomplex, v4,
% 229.28/37.84 | v2) = v3))
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (fact_arctan__half) implies:
% 229.28/37.84 | (264) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 229.28/37.84 | ? [v5: $i] : (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 229.28/37.84 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v5 &
% 229.28/37.84 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 229.28/37.84 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) = v3 &
% 229.28/37.84 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v4 & $i(v5) & $i(v4)
% 229.28/37.84 | & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v6: $i] : ! [v7: $i] :
% 229.28/37.84 | ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 229.28/37.84 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v6, v5) = v7) |
% 229.28/37.84 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v9) = v10) |
% 229.28/37.84 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v7) = v8) |
% 229.28/37.84 | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v10) =
% 229.28/37.84 | v11) | ~ (hAPP(c_NthRoot_Osqrt, v8) = v9) | ~ $i(v6) | ?
% 229.28/37.84 | [v12: $i] : ? [v13: $i] : (hAPP(v3, v13) = v12 &
% 229.28/37.84 | hAPP(c_Transcendental_Oarctan, v11) = v13 &
% 229.28/37.84 | hAPP(c_Transcendental_Oarctan, v6) = v12 & $i(v13) & $i(v12))))
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (fact_arctan__zero__zero) implies:
% 229.28/37.84 | (265) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 229.28/37.84 | hAPP(c_Transcendental_Oarctan, v0) = v0 & $i(v0))
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (fact_DERIV__arctan) implies:
% 229.28/37.84 | (266) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 229.28/37.84 | (c_Int_OBit0(v1) = v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 229.28/37.84 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 &
% 229.28/37.84 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2)
% 229.28/37.84 | & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~
% 229.28/37.84 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v3) = v5) |
% 229.28/37.84 | ~ $i(v4) | ? [v6: $i] : ? [v7: $i] :
% 229.28/37.84 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v6) = v7 &
% 229.28/37.84 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v5) = v6 &
% 229.28/37.84 | $i(v7) & $i(v6) & c_Deriv_Oderiv(tc_RealDef_Oreal,
% 229.28/37.84 | c_Transcendental_Oarctan, v4, v7))))
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (fact_cos__x__y__le__one) implies:
% 229.28/37.84 | (267) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 229.28/37.84 | (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 229.28/37.84 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 &
% 229.28/37.84 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v3 & $i(v3) & $i(v2)
% 229.28/37.84 | & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 229.28/37.84 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 229.28/37.84 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) = v6) |
% 229.28/37.84 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v7) |
% 229.28/37.84 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v7) = v8) |
% 229.28/37.84 | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v9) =
% 229.28/37.84 | v10) | ~ (hAPP(c_NthRoot_Osqrt, v8) = v9) | ~ $i(v5) | ~
% 229.28/37.84 | $i(v4) | ? [v11: $i] :
% 229.28/37.84 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v10) = v11 & $i(v11)
% 229.28/37.84 | & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v11,
% 229.28/37.84 | v3))))
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (fact_real__sqrt__sum__squares__less) implies:
% 229.28/37.84 | (268) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 229.28/37.84 | (c_Int_OBit0(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 229.28/37.84 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v4 &
% 229.28/37.84 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 229.28/37.84 | hAPP(c_NthRoot_Osqrt, v2) = v3 & $i(v4) & $i(v3) & $i(v2) & $i(v1)
% 229.28/37.84 | & $i(v0) & ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] :
% 229.28/37.84 | ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 229.28/37.84 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v7, v4) = v9) |
% 229.28/37.84 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v4) = v10)
% 229.28/37.84 | | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v9, v10) =
% 229.28/37.84 | v11) | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 229.28/37.84 | v6, v3) = v8) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ? [v12:
% 229.28/37.84 | $i] : ? [v13: $i] : ? [v14: $i] :
% 229.28/37.84 | ((c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v7) = v12 & $i(v12)
% 229.28/37.84 | & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12,
% 229.28/37.84 | v8)) | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) =
% 229.28/37.84 | v13 & $i(v13) & ~
% 229.28/37.84 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v8)) |
% 229.28/37.84 | (hAPP(c_NthRoot_Osqrt, v11) = v14 & $i(v14) &
% 229.28/37.84 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v14, v6)))))
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (fact_rabs__ratiotest__lemma) implies:
% 229.28/37.84 | (269) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 229.28/37.84 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 229.28/37.84 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v2 = v0 | ~
% 229.28/37.84 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v4) | ~
% 229.28/37.84 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v6) | ~
% 229.28/37.84 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3) = v5) | ~
% 229.28/37.84 | (hAPP(v5, v6) = v7) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 229.28/37.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v7) | ~
% 229.28/37.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0)))
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero)
% 229.28/37.84 | implies:
% 229.28/37.84 | (270) class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal)
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (arity_RealDef__Oreal__Rings_Olinordered__semiring__strict) implies:
% 229.28/37.84 | (271) class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal)
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (arity_RealDef__Oreal__Rings_Oordered__cancel__semiring) implies:
% 229.28/37.84 | (272) class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal)
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (arity_RealDef__Oreal__Rings_Olinordered__ring__strict) implies:
% 229.28/37.84 | (273) class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal)
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (arity_RealDef__Oreal__Rings_Oring__no__zero__divisors) implies:
% 229.28/37.84 | (274) class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal)
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (arity_RealDef__Oreal__Groups_Oordered__ab__group__add) implies:
% 229.28/37.84 | (275) class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal)
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (arity_RealDef__Oreal__Rings_Olinordered__semidom) implies:
% 229.28/37.84 | (276) class_Rings_Olinordered__semidom(tc_RealDef_Oreal)
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (arity_RealDef__Oreal__Fields_Olinordered__field) implies:
% 229.28/37.84 | (277) class_Fields_Olinordered__field(tc_RealDef_Oreal)
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (arity_RealDef__Oreal__Rings_Ono__zero__divisors) implies:
% 229.28/37.84 | (278) class_Rings_Ono__zero__divisors(tc_RealDef_Oreal)
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (arity_RealDef__Oreal__Rings_Olinordered__idom) implies:
% 229.28/37.84 | (279) class_Rings_Olinordered__idom(tc_RealDef_Oreal)
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (arity_RealDef__Oreal__Rings_Oordered__ring) implies:
% 229.28/37.84 | (280) class_Rings_Oordered__ring(tc_RealDef_Oreal)
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (arity_RealDef__Oreal__Groups_Ogroup__add) implies:
% 229.28/37.84 | (281) class_Groups_Ogroup__add(tc_RealDef_Oreal)
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (arity_RealDef__Oreal__Orderings_Oorder) implies:
% 229.28/37.84 | (282) class_Orderings_Oorder(tc_RealDef_Oreal)
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (arity_RealDef__Oreal__Int_Onumber__ring) implies:
% 229.28/37.84 | (283) class_Int_Onumber__ring(tc_RealDef_Oreal)
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (conj_0) implies:
% 229.28/37.84 | (284) $i(tc_RealDef_Oreal)
% 229.28/37.84 | (285) $i(v_m____)
% 229.28/37.84 | (286) $i(v_da____)
% 229.28/37.84 | (287) $i(v_e)
% 229.28/37.84 | (288) ? [v0: $i] : ? [v1: $i] :
% 229.28/37.84 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v_da____) = v0 &
% 229.28/37.84 | hAPP(v0, v_m____) = v1 & $i(v1) & $i(v0) & ~
% 229.28/37.84 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v_e))
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (function-axioms) implies:
% 229.28/37.84 | (289) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 229.28/37.84 | (c_Groups_Ozero__class_Ozero(v2) = v1) | ~
% 229.28/37.84 | (c_Groups_Ozero__class_Ozero(v2) = v0))
% 229.28/37.84 | (290) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 229.28/37.84 | (c_Groups_Oone__class_Oone(v2) = v1) | ~
% 229.28/37.84 | (c_Groups_Oone__class_Oone(v2) = v0))
% 229.28/37.84 | (291) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 229.28/37.84 | (c_Int_OBit1(v2) = v1) | ~ (c_Int_OBit1(v2) = v0))
% 229.28/37.84 | (292) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 229.28/37.84 | (c_Int_OBit0(v2) = v1) | ~ (c_Int_OBit0(v2) = v0))
% 229.28/37.84 | (293) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 229.28/37.84 | (hAPP(v3, v2) = v1) | ~ (hAPP(v3, v2) = v0))
% 229.28/37.84 | (294) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 229.28/37.84 | (c_Groups_Otimes__class_Otimes(v3, v2) = v1) | ~
% 229.28/37.84 | (c_Groups_Otimes__class_Otimes(v3, v2) = v0))
% 229.28/37.84 | (295) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 229.28/37.84 | (c_Int_Onumber__class_Onumber__of(v3, v2) = v1) | ~
% 229.28/37.84 | (c_Int_Onumber__class_Onumber__of(v3, v2) = v0))
% 229.28/37.84 | (296) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 229.28/37.84 | (c_Groups_Ouminus__class_Ouminus(v3, v2) = v1) | ~
% 229.28/37.84 | (c_Groups_Ouminus__class_Ouminus(v3, v2) = v0))
% 229.28/37.84 | (297) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 229.28/37.84 | (v1 = v0 | ~ (c_Rings_Oinverse__class_Odivide(v4, v3, v2) = v1) | ~
% 229.28/37.84 | (c_Rings_Oinverse__class_Odivide(v4, v3, v2) = v0))
% 229.28/37.84 |
% 229.28/37.84 | DELTA: instantiating (2) with fresh symbol all_667_0 gives:
% 229.28/37.84 | (298) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e, v_m____) =
% 229.28/37.84 | all_667_0 & $i(all_667_0) &
% 229.28/37.84 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_da____, all_667_0)
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (298) implies:
% 229.28/37.84 | (299) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_da____, all_667_0)
% 229.28/37.84 | (300) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e, v_m____) =
% 229.28/37.84 | all_667_0
% 229.28/37.84 |
% 229.28/37.84 | DELTA: instantiating (1) with fresh symbol all_669_0 gives:
% 229.28/37.84 | (301) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_669_0 &
% 229.28/37.84 | $i(all_669_0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.28/37.84 | all_669_0, v_m____)
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (301) implies:
% 229.28/37.84 | (302) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_669_0, v_m____)
% 229.28/37.84 | (303) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_669_0
% 229.28/37.84 |
% 229.28/37.84 | DELTA: instantiating (196) with fresh symbol all_671_0 gives:
% 229.28/37.84 | (304) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_671_0 &
% 229.28/37.84 | hAPP(c_NthRoot_Osqrt, all_671_0) = all_671_0 & $i(all_671_0)
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (304) implies:
% 229.28/37.84 | (305) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_671_0
% 229.28/37.84 |
% 229.28/37.84 | DELTA: instantiating (24) with fresh symbol all_673_0 gives:
% 229.28/37.84 | (306) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_673_0 &
% 229.28/37.84 | $i(all_673_0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 229.28/37.84 | all_673_0, v_da____)
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (306) implies:
% 229.28/37.84 | (307) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_673_0
% 229.28/37.84 |
% 229.28/37.84 | DELTA: instantiating (12) with fresh symbol all_675_0 gives:
% 229.28/37.84 | (308) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_675_0 &
% 229.28/37.84 | $i(all_675_0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.28/37.84 | v_d____, all_675_0)
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (308) implies:
% 229.28/37.84 | (309) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_675_0
% 229.28/37.84 |
% 229.28/37.84 | DELTA: instantiating (29) with fresh symbol all_677_0 gives:
% 229.28/37.84 | (310) c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_677_0) =
% 229.28/37.84 | all_677_0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_677_0
% 229.28/37.84 | & $i(all_677_0)
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (310) implies:
% 229.28/37.84 | (311) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_677_0
% 229.28/37.84 |
% 229.28/37.84 | DELTA: instantiating (10) with fresh symbol all_679_0 gives:
% 229.28/37.84 | (312) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_679_0 &
% 229.28/37.84 | $i(all_679_0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.28/37.84 | all_679_0, v_d____)
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (312) implies:
% 229.28/37.84 | (313) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_679_0
% 229.28/37.84 |
% 229.28/37.84 | DELTA: instantiating (118) with fresh symbol all_681_0 gives:
% 229.28/37.84 | (314) c_Int_OBit1(c_Int_OPls) = all_681_0 & c_Int_Osucc(c_Int_OPls) =
% 229.28/37.84 | all_681_0 & $i(all_681_0)
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (314) implies:
% 229.28/37.84 | (315) c_Int_OBit1(c_Int_OPls) = all_681_0
% 229.28/37.84 |
% 229.28/37.84 | DELTA: instantiating (186) with fresh symbol all_683_0 gives:
% 229.28/37.84 | (316) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_683_0 &
% 229.28/37.84 | hAPP(c_NthRoot_Osqrt, all_683_0) = all_683_0 & $i(all_683_0)
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (316) implies:
% 229.28/37.84 | (317) $i(all_683_0)
% 229.28/37.84 | (318) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_683_0
% 229.28/37.84 |
% 229.28/37.84 | DELTA: instantiating (87) with fresh symbol all_685_0 gives:
% 229.28/37.84 | (319) c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, all_685_0) = all_685_0 &
% 229.28/37.84 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_685_0 & $i(all_685_0)
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (319) implies:
% 229.28/37.84 | (320) $i(all_685_0)
% 229.28/37.84 | (321) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_685_0
% 229.28/37.84 |
% 229.28/37.84 | DELTA: instantiating (106) with fresh symbol all_689_0 gives:
% 229.28/37.84 | (322) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = all_689_0
% 229.28/37.84 | & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_689_0 &
% 229.28/37.84 | $i(all_689_0)
% 229.28/37.84 |
% 229.28/37.84 | ALPHA: (322) implies:
% 229.28/37.84 | (323) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_689_0
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (3) with fresh symbol all_691_0 gives:
% 229.28/37.85 | (324) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_691_0 &
% 229.28/37.85 | $i(all_691_0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.28/37.85 | all_691_0, v_e)
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (324) implies:
% 229.28/37.85 | (325) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_691_0
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (5) with fresh symbol all_693_0 gives:
% 229.28/37.85 | (326) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_693_0 &
% 229.28/37.85 | $i(all_693_0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.28/37.85 | v_da____, all_693_0)
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (326) implies:
% 229.28/37.85 | (327) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_693_0
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (107) with fresh symbol all_695_0 gives:
% 229.28/37.85 | (328) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_695_0 & $i(all_695_0)
% 229.28/37.85 | & ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls,
% 229.28/37.85 | all_695_0)
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (328) implies:
% 229.28/37.85 | (329) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_695_0
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (108) with fresh symbol all_697_0 gives:
% 229.28/37.85 | (330) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) = all_697_0
% 229.28/37.85 | & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_697_0 &
% 229.28/37.85 | $i(all_697_0)
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (330) implies:
% 229.28/37.85 | (331) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_697_0
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (106) with fresh symbol all_699_0 gives:
% 229.28/37.85 | (332) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = all_699_0
% 229.28/37.85 | & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_699_0 &
% 229.28/37.85 | $i(all_699_0)
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (332) implies:
% 229.28/37.85 | (333) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_699_0
% 229.28/37.85 | (334) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = all_699_0
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (265) with fresh symbol all_701_0 gives:
% 229.28/37.85 | (335) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_701_0 &
% 229.28/37.85 | hAPP(c_Transcendental_Oarctan, all_701_0) = all_701_0 & $i(all_701_0)
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (335) implies:
% 229.28/37.85 | (336) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_701_0
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (4) with fresh symbol all_703_0 gives:
% 229.28/37.85 | (337) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_703_0 &
% 229.28/37.85 | $i(all_703_0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.28/37.85 | all_703_0, v_da____)
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (337) implies:
% 229.28/37.85 | (338) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_703_0
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (99) with fresh symbol all_705_0 gives:
% 229.28/37.85 | (339) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_705_0 & $i(all_705_0)
% 229.28/37.85 | & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_705_0,
% 229.28/37.85 | all_705_0)
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (339) implies:
% 229.28/37.85 | (340) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_705_0
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (7) with fresh symbol all_707_0 gives:
% 229.28/37.85 | (341) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e, v_m____) =
% 229.28/37.85 | all_707_0 & $i(all_707_0) &
% 229.28/37.85 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_d____, all_707_0)
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (341) implies:
% 229.28/37.85 | (342) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_d____, all_707_0)
% 229.28/37.85 | (343) $i(all_707_0)
% 229.28/37.85 | (344) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e, v_m____) =
% 229.28/37.85 | all_707_0
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (135) with fresh symbol all_709_0 gives:
% 229.28/37.85 | (345) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_709_0 & $i(all_709_0)
% 229.28/37.85 | & ! [v0: $i] : ( ~ $i(v0) | ~
% 229.28/37.85 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_709_0))
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (345) implies:
% 229.28/37.85 | (346) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_709_0
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (141) with fresh symbol all_712_0 gives:
% 229.28/37.85 | (347) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_712_0 & $i(all_712_0)
% 229.28/37.85 | & ? [v0: $i] : ( ~ $i(v0) |
% 229.28/37.85 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_712_0, v0))
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (347) implies:
% 229.28/37.85 | (348) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_712_0
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (135) with fresh symbol all_714_0 gives:
% 229.28/37.85 | (349) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_714_0 & $i(all_714_0)
% 229.28/37.85 | & ! [v0: $i] : ( ~ $i(v0) | ~
% 229.28/37.85 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_714_0))
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (349) implies:
% 229.28/37.85 | (350) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_714_0
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (135) with fresh symbol all_719_0 gives:
% 229.28/37.85 | (351) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_719_0 & $i(all_719_0)
% 229.28/37.85 | & ! [v0: $i] : ( ~ $i(v0) | ~
% 229.28/37.85 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_719_0))
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (351) implies:
% 229.28/37.85 | (352) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_719_0
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (135) with fresh symbol all_722_0 gives:
% 229.28/37.85 | (353) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_722_0 & $i(all_722_0)
% 229.28/37.85 | & ! [v0: $i] : ( ~ $i(v0) | ~
% 229.28/37.85 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_722_0))
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (353) implies:
% 229.28/37.85 | (354) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_722_0
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (141) with fresh symbol all_726_0 gives:
% 229.28/37.85 | (355) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_726_0 & $i(all_726_0)
% 229.28/37.85 | & ? [v0: $i] : ( ~ $i(v0) |
% 229.28/37.85 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_726_0, v0))
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (355) implies:
% 229.28/37.85 | (356) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_726_0
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (136) with fresh symbol all_736_0 gives:
% 229.28/37.85 | (357) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_736_0 & $i(all_736_0)
% 229.28/37.85 | & ? [v0: any] : (v0 = all_736_0 | ~ $i(v0) |
% 229.28/37.85 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_736_0, v0))
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (357) implies:
% 229.28/37.85 | (358) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_736_0
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (59) with fresh symbol all_738_0 gives:
% 229.28/37.85 | (359) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_738_0 & $i(all_738_0)
% 229.28/37.85 | & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 229.28/37.85 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_738_0, v0) = v1) | ~
% 229.28/37.85 | $i(v0))
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (359) implies:
% 229.28/37.85 | (360) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_738_0
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (13) with fresh symbols all_741_0, all_741_1 gives:
% 229.28/37.85 | (361) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_741_0 &
% 229.28/37.85 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_741_1 &
% 229.28/37.85 | $i(all_741_0) & $i(all_741_1) &
% 229.28/37.85 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_741_1, all_741_0)
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (361) implies:
% 229.28/37.85 | (362) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_741_1
% 229.28/37.85 | (363) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_741_0
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (145) with fresh symbol all_752_0 gives:
% 229.28/37.85 | (364) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_752_0 & $i(all_752_0)
% 229.28/37.85 | & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.85 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0) = v1) | ~ $i(v0) |
% 229.28/37.85 | hAPP(v1, all_752_0) = all_752_0)
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (364) implies:
% 229.28/37.85 | (365) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_752_0
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (124) with fresh symbols all_755_0, all_755_1 gives:
% 229.28/37.85 | (366) c_Int_OBit1(c_Int_OPls) = all_755_0 &
% 229.28/37.85 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_755_0) = all_755_1
% 229.28/37.85 | & c_Groups_Oone__class_Oone(tc_Int_Oint) = all_755_1 & $i(all_755_0)
% 229.28/37.85 | & $i(all_755_1)
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (366) implies:
% 229.28/37.85 | (367) c_Int_OBit1(c_Int_OPls) = all_755_0
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (98) with fresh symbols all_758_0, all_758_1 gives:
% 229.28/37.85 | (368) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_758_0 &
% 229.28/37.85 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_758_1 & $i(all_758_0)
% 229.28/37.85 | & $i(all_758_1) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 229.28/37.85 | all_758_1, all_758_0)
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (368) implies:
% 229.28/37.85 | (369) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_758_1
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (60) with fresh symbol all_763_0 gives:
% 229.28/37.85 | (370) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_763_0 & $i(all_763_0)
% 229.28/37.85 | & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 229.28/37.85 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_763_0) = v1) | ~
% 229.28/37.85 | $i(v0))
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (370) implies:
% 229.28/37.85 | (371) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_763_0
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (113) with fresh symbols all_766_0, all_766_1 gives:
% 229.28/37.85 | (372) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) = all_766_0
% 229.28/37.85 | & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_766_1 &
% 229.28/37.85 | $i(all_766_0) & $i(all_766_1) &
% 229.28/37.85 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_766_1, all_766_0)
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (372) implies:
% 229.28/37.85 | (373) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_766_1
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (188) with fresh symbol all_772_0 gives:
% 229.28/37.85 | (374) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_772_0 &
% 229.28/37.85 | $i(all_772_0) & ! [v0: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v0) =
% 229.28/37.85 | all_772_0) | ~ $i(v0) | ~
% 229.28/37.85 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_772_0, v0))
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (374) implies:
% 229.28/37.85 | (375) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_772_0
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (6) with fresh symbols all_775_0, all_775_1 gives:
% 229.28/37.85 | (376) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v_d____) = all_775_1
% 229.28/37.85 | & hAPP(all_775_1, v_m____) = all_775_0 & $i(all_775_0) &
% 229.28/37.85 | $i(all_775_1) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.28/37.85 | all_775_0, v_e)
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (376) implies:
% 229.28/37.85 | (377) hAPP(all_775_1, v_m____) = all_775_0
% 229.28/37.85 | (378) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v_d____) = all_775_1
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (40) with fresh symbols all_777_0, all_777_1 gives:
% 229.28/37.85 | (379) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_777_1 &
% 229.28/37.85 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_777_0 &
% 229.28/37.85 | hAPP(c_Transcendental_Oln, all_777_1) = all_777_0 & $i(all_777_0) &
% 229.28/37.85 | $i(all_777_1)
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (379) implies:
% 229.28/37.85 | (380) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_777_0
% 229.28/37.85 | (381) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_777_1
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (116) with fresh symbols all_779_0, all_779_1 gives:
% 229.28/37.85 | (382) c_Int_OBit1(c_Int_OPls) = all_779_1 &
% 229.28/37.85 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_779_1) = all_779_0
% 229.28/37.85 | & c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_779_0 & $i(all_779_0)
% 229.28/37.85 | & $i(all_779_1)
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (382) implies:
% 229.28/37.85 | (383) c_Int_OBit1(c_Int_OPls) = all_779_1
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (57) with fresh symbols all_781_0, all_781_1 gives:
% 229.28/37.85 | (384) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_781_0 &
% 229.28/37.85 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_781_1 & $i(all_781_0)
% 229.28/37.85 | & $i(all_781_1) & c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 229.28/37.85 | all_781_1, all_781_0)
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (384) implies:
% 229.28/37.85 | (385) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_781_1
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (140) with fresh symbol all_783_0 gives:
% 229.28/37.85 | (386) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_783_0 & $i(all_783_0)
% 229.28/37.85 | & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 229.28/37.85 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_783_0, v0) = v1) | ~
% 229.28/37.85 | $i(v0))
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (386) implies:
% 229.28/37.85 | (387) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_783_0
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (14) with fresh symbols all_787_0, all_787_1 gives:
% 229.28/37.85 | (388) ~ (all_787_0 = all_787_1) &
% 229.28/37.85 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_787_0 &
% 229.28/37.85 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_787_1 &
% 229.28/37.85 | $i(all_787_0) & $i(all_787_1)
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (388) implies:
% 229.28/37.85 | (389) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_787_1
% 229.28/37.85 | (390) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_787_0
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (139) with fresh symbol all_789_0 gives:
% 229.28/37.85 | (391) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_789_0 & $i(all_789_0)
% 229.28/37.85 | & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 229.28/37.85 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, all_789_0) = v1) | ~
% 229.28/37.85 | $i(v0))
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (391) implies:
% 229.28/37.85 | (392) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_789_0
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (9) with fresh symbols all_792_0, all_792_1 gives:
% 229.28/37.85 | (393) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e, v_m____) =
% 229.28/37.85 | all_792_0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_792_1
% 229.28/37.85 | & $i(all_792_0) & $i(all_792_1) &
% 229.28/37.85 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_792_1, all_792_0)
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (393) implies:
% 229.28/37.85 | (394) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_792_1
% 229.28/37.85 | (395) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e, v_m____) =
% 229.28/37.85 | all_792_0
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (288) with fresh symbols all_797_0, all_797_1 gives:
% 229.28/37.85 | (396) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v_da____) = all_797_1
% 229.28/37.85 | & hAPP(all_797_1, v_m____) = all_797_0 & $i(all_797_0) &
% 229.28/37.85 | $i(all_797_1) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.28/37.85 | all_797_0, v_e)
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (396) implies:
% 229.28/37.85 | (397) ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_797_0, v_e)
% 229.28/37.85 | (398) hAPP(all_797_1, v_m____) = all_797_0
% 229.28/37.85 | (399) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v_da____) = all_797_1
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (90) with fresh symbols all_799_0, all_799_1 gives:
% 229.28/37.85 | (400) ~ (all_799_0 = all_799_1) & c_Groups_Oone__class_Oone(tc_Int_Oint) =
% 229.28/37.85 | all_799_0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_799_1 &
% 229.28/37.85 | $i(all_799_0) & $i(all_799_1)
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (400) implies:
% 229.28/37.85 | (401) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_799_1
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (134) with fresh symbol all_803_0 gives:
% 229.28/37.85 | (402) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_803_0 & $i(all_803_0)
% 229.28/37.85 | & ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_803_0, all_803_0)
% 229.28/37.85 | & ? [v0: any] : (v0 = all_803_0 | ~ $i(v0) |
% 229.28/37.85 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_803_0, v0))
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (402) implies:
% 229.28/37.85 | (403) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_803_0
% 229.28/37.85 |
% 229.28/37.85 | DELTA: instantiating (142) with fresh symbol all_805_0 gives:
% 229.28/37.85 | (404) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_805_0 & $i(all_805_0)
% 229.28/37.85 | & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_805_0,
% 229.28/37.85 | all_805_0) & ! [v0: any] : (v0 = all_805_0 | ~ $i(v0) | ~
% 229.28/37.85 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, all_805_0))
% 229.28/37.85 |
% 229.28/37.85 | ALPHA: (404) implies:
% 229.28/37.86 | (405) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_805_0
% 229.28/37.86 |
% 229.28/37.86 | DELTA: instantiating (193) with fresh symbol all_812_0 gives:
% 229.28/37.86 | (406) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_812_0 &
% 229.28/37.86 | $i(all_812_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.86 | (hAPP(c_NthRoot_Osqrt, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_812_0, v0)
% 229.28/37.86 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_812_0,
% 229.28/37.86 | v1))
% 229.28/37.86 |
% 229.28/37.86 | ALPHA: (406) implies:
% 229.28/37.86 | (407) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_812_0
% 229.28/37.86 |
% 229.28/37.86 | DELTA: instantiating (194) with fresh symbol all_815_0 gives:
% 229.28/37.86 | (408) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_815_0 &
% 229.28/37.86 | $i(all_815_0) & ! [v0: any] : (v0 = all_815_0 | ~
% 229.28/37.86 | (hAPP(c_NthRoot_Osqrt, v0) = all_815_0) | ~ $i(v0) | ~
% 229.28/37.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_815_0, v0))
% 229.28/37.86 |
% 229.28/37.86 | ALPHA: (408) implies:
% 229.28/37.86 | (409) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_815_0
% 229.28/37.86 |
% 229.28/37.86 | DELTA: instantiating (187) with fresh symbol all_818_0 gives:
% 229.28/37.86 | (410) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_818_0 &
% 229.28/37.86 | $i(all_818_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.86 | (hAPP(c_NthRoot_Osqrt, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_818_0, v0) |
% 229.28/37.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_818_0, v1))
% 229.28/37.86 |
% 229.28/37.86 | ALPHA: (410) implies:
% 229.28/37.86 | (411) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_818_0
% 229.28/37.86 |
% 229.28/37.86 | DELTA: instantiating (184) with fresh symbol all_821_0 gives:
% 229.28/37.86 | (412) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_821_0 &
% 229.28/37.86 | $i(all_821_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.86 | (hAPP(c_NthRoot_Osqrt, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_821_0, v0)
% 229.28/37.86 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_821_0,
% 229.28/37.86 | v1))
% 229.28/37.86 |
% 229.28/37.86 | ALPHA: (412) implies:
% 229.28/37.86 | (413) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_821_0
% 229.28/37.86 |
% 229.28/37.86 | DELTA: instantiating (52) with fresh symbol all_824_0 gives:
% 229.28/37.86 | (414) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_824_0 &
% 229.28/37.86 | $i(all_824_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.86 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v0) = v1) | ~
% 229.28/37.86 | $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.28/37.86 | all_824_0, v0) | c_Deriv_Oderiv(tc_RealDef_Oreal,
% 229.28/37.86 | c_Transcendental_Oln, v0, v1))
% 229.28/37.86 |
% 229.28/37.86 | ALPHA: (414) implies:
% 229.28/37.86 | (415) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_824_0
% 229.28/37.86 |
% 229.28/37.86 | DELTA: instantiating (137) with fresh symbol all_831_0 gives:
% 229.28/37.86 | (416) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_831_0 & $i(all_831_0)
% 229.28/37.86 | & ! [v0: any] : ! [v1: $i] : (v0 = all_831_0 | ~
% 229.28/37.86 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v1) | ~ $i(v1)
% 229.28/37.86 | | ~ $i(v0))
% 229.28/37.86 |
% 229.28/37.86 | ALPHA: (416) implies:
% 229.28/37.86 | (417) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_831_0
% 229.28/37.86 |
% 229.28/37.86 | DELTA: instantiating (89) with fresh symbol all_837_0 gives:
% 229.28/37.86 | (418) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_837_0 & $i(all_837_0)
% 229.28/37.86 | & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = all_837_0 | ~
% 229.28/37.86 | (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v1) | ~
% 229.28/37.86 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~
% 229.28/37.86 | $i(v0))
% 229.28/37.86 |
% 229.28/37.86 | ALPHA: (418) implies:
% 229.28/37.86 | (419) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_837_0
% 229.28/37.86 |
% 229.28/37.86 | DELTA: instantiating (39) with fresh symbol all_846_0 gives:
% 229.28/37.86 | (420) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_846_0 &
% 229.28/37.86 | $i(all_846_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.86 | (hAPP(c_Transcendental_Oln, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_846_0, v0) |
% 229.28/37.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0))
% 229.28/37.86 |
% 229.28/37.86 | ALPHA: (420) implies:
% 229.28/37.86 | (421) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_846_0
% 229.28/37.86 |
% 229.28/37.86 | DELTA: instantiating (125) with fresh symbol all_849_0 gives:
% 229.28/37.86 | (422) c_Int_OBit1(c_Int_OPls) = all_849_0 & $i(all_849_0) & ! [v0: $i] :
% 229.28/37.86 | ! [v1: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v0, all_849_0) =
% 229.28/37.86 | v1) | ~ $i(v0) | ~ c_Int_Oiszero(v0, v1) | ~
% 229.28/37.86 | class_Int_Onumber__ring(v0))
% 229.28/37.86 |
% 229.28/37.86 | ALPHA: (422) implies:
% 229.28/37.86 | (423) c_Int_OBit1(c_Int_OPls) = all_849_0
% 229.28/37.86 |
% 229.28/37.86 | DELTA: instantiating (146) with fresh symbols all_858_0, all_858_1 gives:
% 229.28/37.86 | (424) c_Groups_Otimes__class_Otimes(tc_Nat_Onat, all_858_1) = all_858_0 &
% 229.28/37.86 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_858_1 & $i(all_858_0)
% 229.28/37.86 | & $i(all_858_1) & ! [v0: $i] : ! [v1: int] : (v1 = all_858_1 | ~
% 229.28/37.86 | (hAPP(all_858_0, v0) = v1) | ~ $i(v0))
% 229.28/37.86 |
% 229.28/37.86 | ALPHA: (424) implies:
% 229.28/37.86 | (425) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_858_1
% 229.28/37.86 |
% 229.28/37.86 | DELTA: instantiating (69) with fresh symbols all_861_0, all_861_1 gives:
% 229.28/37.86 | (426) c_Transcendental_Oexp(tc_RealDef_Oreal) = all_861_1 &
% 229.28/37.86 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_861_0 &
% 229.28/37.86 | $i(all_861_0) & $i(all_861_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.86 | (hAPP(all_861_1, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_861_0))
% 229.28/37.86 |
% 229.28/37.86 | ALPHA: (426) implies:
% 229.28/37.86 | (427) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_861_0
% 229.28/37.86 |
% 229.28/37.86 | DELTA: instantiating (8) with fresh symbols all_867_0, all_867_1, all_867_2
% 229.28/37.86 | gives:
% 229.28/37.86 | (428) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v_d____) = all_867_1
% 229.28/37.86 | & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_867_2 &
% 229.28/37.86 | hAPP(all_867_1, v_m____) = all_867_0 & $i(all_867_0) & $i(all_867_1)
% 229.28/37.86 | & $i(all_867_2) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.28/37.86 | all_867_2, all_867_0)
% 229.28/37.86 |
% 229.28/37.86 | ALPHA: (428) implies:
% 229.28/37.86 | (429) hAPP(all_867_1, v_m____) = all_867_0
% 229.28/37.86 | (430) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_867_2
% 229.28/37.86 | (431) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v_d____) = all_867_1
% 229.28/37.86 |
% 229.28/37.86 | DELTA: instantiating (121) with fresh symbol all_869_0 gives:
% 229.28/37.86 | (432) c_Int_OBit1(c_Int_OPls) = all_869_0 & $i(all_869_0) & ! [v0: $i] :
% 229.28/37.86 | ! [v1: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v0, all_869_0) =
% 229.28/37.86 | v1) | ~ $i(v0) | ~ class_Int_Onumber__ring(v0) |
% 229.28/37.86 | (c_Groups_Oone__class_Oone(v0) = v1 & $i(v1)))
% 229.28/37.86 |
% 229.28/37.86 | ALPHA: (432) implies:
% 229.28/37.86 | (433) c_Int_OBit1(c_Int_OPls) = all_869_0
% 229.28/37.86 |
% 229.28/37.86 | DELTA: instantiating (15) with fresh symbols all_876_0, all_876_1 gives:
% 229.28/37.86 | (434) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_876_1) =
% 229.28/37.86 | all_876_0 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_876_1 &
% 229.28/37.86 | $i(all_876_0) & $i(all_876_1) & ! [v0: $i] : ! [v1: $i] : (v1 = v0
% 229.28/37.86 | | ~ (hAPP(all_876_0, v0) = v1) | ~ $i(v0))
% 229.28/37.86 |
% 229.28/37.86 | ALPHA: (434) implies:
% 229.28/37.86 | (435) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_876_1
% 229.28/37.86 |
% 229.28/37.86 | DELTA: instantiating (67) with fresh symbols all_887_0, all_887_1 gives:
% 229.28/37.86 | (436) c_Transcendental_Oexp(tc_RealDef_Oreal) = all_887_1 &
% 229.28/37.86 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_887_0 &
% 229.28/37.86 | $i(all_887_0) & $i(all_887_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.86 | (hAPP(all_887_1, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, all_887_0))
% 229.28/37.86 |
% 229.28/37.86 | ALPHA: (436) implies:
% 229.28/37.86 | (437) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_887_0
% 229.28/37.86 |
% 229.28/37.86 | DELTA: instantiating (195) with fresh symbol all_892_0 gives:
% 229.28/37.86 | (438) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_892_0 &
% 229.28/37.86 | $i(all_892_0) & ! [v0: any] : (v0 = all_892_0 | ~
% 229.28/37.86 | (hAPP(c_NthRoot_Osqrt, v0) = all_892_0) | ~ $i(v0)) & ! [v0: int]
% 229.28/37.86 | : (v0 = all_892_0 | ~ (hAPP(c_NthRoot_Osqrt, all_892_0) = v0))
% 229.28/37.86 |
% 229.28/37.86 | ALPHA: (438) implies:
% 229.28/37.86 | (439) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_892_0
% 229.28/37.86 |
% 229.28/37.86 | DELTA: instantiating (66) with fresh symbols all_895_0, all_895_1 gives:
% 229.28/37.86 | (440) c_Transcendental_Oexp(tc_RealDef_Oreal) = all_895_0 &
% 229.28/37.86 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_895_1 &
% 229.28/37.86 | $i(all_895_0) & $i(all_895_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.86 | (hAPP(all_895_0, v0) = v1) | ~ $i(v0) |
% 229.28/37.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_895_1, v1))
% 229.28/37.86 |
% 229.28/37.86 | ALPHA: (440) implies:
% 229.28/37.86 | (441) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_895_1
% 229.28/37.86 |
% 229.28/37.86 | DELTA: instantiating (185) with fresh symbol all_901_0 gives:
% 229.28/37.86 | (442) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_901_0 &
% 229.28/37.86 | $i(all_901_0) & ! [v0: any] : (v0 = all_901_0 | ~
% 229.28/37.86 | (hAPP(c_NthRoot_Osqrt, v0) = all_901_0) | ~ $i(v0)) & ! [v0: int]
% 229.28/37.86 | : (v0 = all_901_0 | ~ (hAPP(c_NthRoot_Osqrt, all_901_0) = v0))
% 229.28/37.86 |
% 229.28/37.86 | ALPHA: (442) implies:
% 229.28/37.86 | (443) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_901_0
% 229.28/37.86 |
% 229.28/37.86 | DELTA: instantiating (58) with fresh symbols all_907_0, all_907_1 gives:
% 229.28/37.86 | (444) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_907_1 &
% 229.28/37.86 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_907_0 & $i(all_907_0)
% 229.28/37.86 | & $i(all_907_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.86 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = all_907_0) | ~
% 229.28/37.86 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_907_1, v0) = v1) | ~
% 229.28/37.86 | $i(v0))
% 229.28/37.86 |
% 229.28/37.86 | ALPHA: (444) implies:
% 229.28/37.86 | (445) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_907_0
% 229.28/37.86 |
% 229.28/37.86 | DELTA: instantiating (255) with fresh symbol all_913_0 gives:
% 229.28/37.86 | (446) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_913_0 & $i(all_913_0)
% 229.28/37.86 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.28/37.86 | (c_Power_Opower__class_Opower(tc_Int_Oint, v1, v0) = v2) | ~
% 229.28/37.86 | $i(v1) | ~ $i(v0) | ~
% 229.28/37.86 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_913_0, v1) |
% 229.28/37.86 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_913_0, v2))
% 229.28/37.86 |
% 229.28/37.86 | ALPHA: (446) implies:
% 229.28/37.86 | (447) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_913_0
% 229.28/37.86 |
% 229.28/37.86 | DELTA: instantiating (121) with fresh symbol all_916_0 gives:
% 229.28/37.86 | (448) c_Int_OBit1(c_Int_OPls) = all_916_0 & $i(all_916_0) & ! [v0: $i] :
% 229.28/37.86 | ! [v1: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v0, all_916_0) =
% 229.28/37.86 | v1) | ~ $i(v0) | ~ class_Int_Onumber__ring(v0) |
% 229.28/37.86 | (c_Groups_Oone__class_Oone(v0) = v1 & $i(v1)))
% 229.28/37.86 |
% 229.28/37.86 | ALPHA: (448) implies:
% 229.28/37.86 | (449) c_Int_OBit1(c_Int_OPls) = all_916_0
% 229.28/37.86 |
% 229.28/37.86 | DELTA: instantiating (68) with fresh symbols all_928_0, all_928_1 gives:
% 229.28/37.86 | (450) c_Transcendental_Oexp(tc_RealDef_Oreal) = all_928_0 &
% 229.28/37.86 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_928_1 &
% 229.28/37.86 | $i(all_928_0) & $i(all_928_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.86 | (hAPP(all_928_0, v0) = v1) | ~ $i(v0) |
% 229.28/37.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_928_1, v1))
% 229.28/37.86 |
% 229.28/37.86 | ALPHA: (450) implies:
% 229.28/37.86 | (451) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_928_1
% 229.28/37.86 |
% 229.28/37.86 | DELTA: instantiating (259) with fresh symbol all_934_0 gives:
% 229.28/37.86 | (452) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_934_0 & $i(all_934_0)
% 229.28/37.86 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.28/37.86 | (c_Power_Opower__class_Opower(v1, v0, all_934_0) = v2) | ~ $i(v1)
% 229.28/37.86 | | ~ $i(v0) | ~ class_Power_Opower(v1) |
% 229.28/37.86 | (c_Groups_Oone__class_Oone(v1) = v2 & $i(v2)))
% 229.28/37.86 |
% 229.28/37.86 | ALPHA: (452) implies:
% 229.28/37.86 | (453) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_934_0
% 229.28/37.86 |
% 229.28/37.86 | DELTA: instantiating (42) with fresh symbols all_937_0, all_937_1 gives:
% 229.28/37.86 | (454) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_937_1 &
% 229.28/37.86 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_937_0 &
% 229.28/37.86 | $i(all_937_0) & $i(all_937_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.86 | (hAPP(c_Transcendental_Oln, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_937_1, v0)
% 229.28/37.86 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_937_0,
% 229.28/37.86 | v1))
% 229.28/37.86 |
% 229.28/37.86 | ALPHA: (454) implies:
% 229.28/37.86 | (455) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_937_0
% 229.28/37.86 | (456) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_937_1
% 229.28/37.86 |
% 229.28/37.86 | DELTA: instantiating (48) with fresh symbols all_940_0, all_940_1 gives:
% 229.28/37.86 | (457) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_940_1 &
% 229.28/37.86 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_940_0 &
% 229.28/37.86 | $i(all_940_0) & $i(all_940_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.86 | (hAPP(c_Transcendental_Oln, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_940_1, v0) |
% 229.28/37.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_940_0, v1))
% 229.28/37.86 |
% 229.28/37.86 | ALPHA: (457) implies:
% 229.28/37.86 | (458) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_940_0
% 229.28/37.86 | (459) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_940_1
% 229.28/37.86 |
% 229.28/37.86 | DELTA: instantiating (51) with fresh symbols all_943_0, all_943_1 gives:
% 229.28/37.86 | (460) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_943_0 &
% 229.28/37.86 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_943_1 &
% 229.28/37.86 | $i(all_943_0) & $i(all_943_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.86 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_943_0, v0) =
% 229.28/37.86 | v1) | ~ $i(v0) | ~
% 229.28/37.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_943_1, v0) |
% 229.28/37.86 | c_Deriv_Oderiv(tc_RealDef_Oreal, c_Transcendental_Oln, v0, v1))
% 229.28/37.86 |
% 229.28/37.86 | ALPHA: (460) implies:
% 229.28/37.86 | (461) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_943_1
% 229.28/37.86 | (462) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_943_0
% 229.28/37.86 |
% 229.28/37.86 | DELTA: instantiating (206) with fresh symbol all_946_0 gives:
% 229.28/37.86 | (463) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_946_0 & $i(all_946_0)
% 229.28/37.86 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.28/37.86 | (c_Power_Opower__class_Opower(v1, v0, all_946_0) = v2) | ~ $i(v1)
% 229.28/37.86 | | ~ $i(v0) | ~ class_Rings_Ocomm__semiring__1(v1) |
% 229.28/37.86 | (c_Groups_Oone__class_Oone(v1) = v2 & $i(v2)))
% 229.28/37.86 |
% 229.28/37.86 | ALPHA: (463) implies:
% 229.28/37.86 | (464) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_946_0
% 229.28/37.86 |
% 229.28/37.86 | DELTA: instantiating (97) with fresh symbol all_949_0 gives:
% 229.28/37.86 | (465) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_949_0 & $i(all_949_0)
% 229.28/37.86 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.28/37.86 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ $i(v1)
% 229.28/37.86 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 229.28/37.86 | all_949_0, v1) | ~
% 229.28/37.86 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_949_0, v0) |
% 229.28/37.86 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_949_0, v2))
% 229.28/37.86 |
% 229.28/37.86 | ALPHA: (465) implies:
% 229.28/37.86 | (466) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_949_0
% 229.28/37.86 |
% 229.28/37.86 | DELTA: instantiating (198) with fresh symbol all_952_0 gives:
% 229.28/37.86 | (467) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_952_0 &
% 229.28/37.86 | $i(all_952_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.28/37.86 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v2) |
% 229.28/37.86 | ~ (hAPP(c_NthRoot_Osqrt, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_952_0, v0)
% 229.28/37.86 | | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v1) = v2 &
% 229.28/37.86 | $i(v2)))
% 229.28/37.86 |
% 229.28/37.86 | ALPHA: (467) implies:
% 229.28/37.86 | (468) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_952_0
% 229.28/37.86 |
% 229.28/37.86 | DELTA: instantiating (123) with fresh symbol all_955_0 gives:
% 229.28/37.86 | (469) c_Int_OBit1(c_Int_OPls) = all_955_0 & $i(all_955_0) & ! [v0: $i] :
% 229.28/37.86 | ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 229.28/37.86 | (c_Int_Onumber__class_Onumber__of(v0, all_955_0) = v1) | ~
% 229.28/37.86 | (c_Rings_Oinverse__class_Oinverse(v0, v1) = v2) | ~ $i(v0) | ~
% 229.28/37.86 | class_Int_Onumber__ring(v0) | ~ class_Fields_Ofield(v0))
% 229.28/37.86 |
% 229.28/37.86 | ALPHA: (469) implies:
% 229.28/37.86 | (470) c_Int_OBit1(c_Int_OPls) = all_955_0
% 229.28/37.86 |
% 229.28/37.86 | DELTA: instantiating (63) with fresh symbols all_961_0, all_961_1 gives:
% 229.28/37.87 | (471) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_961_0 &
% 229.28/37.87 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_961_1 & $i(all_961_0)
% 229.28/37.87 | & $i(all_961_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.87 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_961_0, v0) = v1) | ~
% 229.28/37.87 | $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 229.28/37.87 | all_961_1, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 229.28/37.87 | all_961_1, v1))
% 229.28/37.87 |
% 229.28/37.87 | ALPHA: (471) implies:
% 229.28/37.87 | (472) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_961_1
% 229.28/37.87 |
% 229.28/37.87 | DELTA: instantiating (32) with fresh symbols all_964_0, all_964_1 gives:
% 229.28/37.87 | (473) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_964_0 &
% 229.28/37.87 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_964_1 &
% 229.28/37.87 | $i(all_964_0) & $i(all_964_1) & ! [v0: $i] : ! [v1: int] : (v1 =
% 229.28/37.87 | all_964_0 | ~ (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v0) =
% 229.28/37.87 | v1) | ~ $i(v0) | ~
% 229.28/37.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_964_1, v0))
% 229.28/37.87 |
% 229.28/37.87 | ALPHA: (473) implies:
% 229.28/37.87 | (474) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_964_1
% 229.28/37.87 | (475) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_964_0
% 229.28/37.87 |
% 229.28/37.87 | DELTA: instantiating (80) with fresh symbols all_967_0, all_967_1 gives:
% 229.28/37.87 | (476) c_Transcendental_Oexp(tc_RealDef_Oreal) = all_967_0 &
% 229.28/37.87 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_967_1 &
% 229.28/37.87 | $i(all_967_0) & $i(all_967_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.87 | (hAPP(c_Transcendental_Oln, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_967_1, v0) |
% 229.28/37.87 | hAPP(all_967_0, v1) = v0)
% 229.28/37.87 |
% 229.28/37.87 | ALPHA: (476) implies:
% 229.28/37.87 | (477) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_967_1
% 229.28/37.87 |
% 229.28/37.87 | DELTA: instantiating (49) with fresh symbols all_970_0, all_970_1 gives:
% 229.28/37.87 | (478) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_970_0 &
% 229.28/37.87 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_970_1 &
% 229.28/37.87 | $i(all_970_0) & $i(all_970_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.87 | (hAPP(c_Transcendental_Oln, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_970_1, v1)
% 229.28/37.87 | | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_970_1, v0)
% 229.28/37.87 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_970_0,
% 229.28/37.87 | v0))
% 229.28/37.87 |
% 229.28/37.87 | ALPHA: (478) implies:
% 229.28/37.87 | (479) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_970_1
% 229.28/37.87 | (480) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_970_0
% 229.28/37.87 |
% 229.28/37.87 | DELTA: instantiating (104) with fresh symbol all_973_0 gives:
% 229.28/37.87 | (481) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_973_0 & $i(all_973_0)
% 229.28/37.87 | & ! [v0: $i] : ! [v1: int] : (v1 = all_973_0 | ~
% 229.28/37.87 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1) | ~
% 229.28/37.87 | $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0,
% 229.28/37.87 | c_Int_OPls)) & ! [v0: $i] : ( ~
% 229.28/37.87 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = all_973_0) |
% 229.28/37.87 | ~ $i(v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0,
% 229.28/37.87 | c_Int_OPls))
% 229.28/37.87 |
% 229.28/37.87 | ALPHA: (481) implies:
% 229.28/37.87 | (482) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_973_0
% 229.28/37.87 |
% 229.28/37.87 | DELTA: instantiating (168) with fresh symbols all_976_0, all_976_1, all_976_2,
% 229.28/37.87 | all_976_3 gives:
% 229.28/37.87 | (483) c_Int_OBit0(all_976_2) = all_976_1 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.87 | all_976_2 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_976_1)
% 229.28/37.87 | = all_976_0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_976_3 &
% 229.28/37.87 | $i(all_976_0) & $i(all_976_1) & $i(all_976_2) & $i(all_976_3) &
% 229.28/37.87 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_976_3, all_976_0)
% 229.28/37.87 |
% 229.28/37.87 | ALPHA: (483) implies:
% 229.28/37.87 | (484) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_976_3, all_976_0)
% 229.28/37.87 | (485) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_976_3
% 229.28/37.87 | (486) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_976_1) = all_976_0
% 229.28/37.87 | (487) c_Int_OBit1(c_Int_OPls) = all_976_2
% 229.28/37.87 | (488) c_Int_OBit0(all_976_2) = all_976_1
% 229.28/37.87 |
% 229.28/37.87 | DELTA: instantiating (104) with fresh symbol all_978_0 gives:
% 229.28/37.87 | (489) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_978_0 & $i(all_978_0)
% 229.28/37.87 | & ! [v0: $i] : ! [v1: int] : (v1 = all_978_0 | ~
% 229.28/37.87 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1) | ~
% 229.28/37.87 | $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0,
% 229.28/37.87 | c_Int_OPls)) & ! [v0: $i] : ( ~
% 229.28/37.87 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = all_978_0) |
% 229.28/37.87 | ~ $i(v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0,
% 229.28/37.87 | c_Int_OPls))
% 229.28/37.87 |
% 229.28/37.87 | ALPHA: (489) implies:
% 229.28/37.87 | (490) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_978_0
% 229.28/37.87 |
% 229.28/37.87 | DELTA: instantiating (119) with fresh symbol all_981_0 gives:
% 229.28/37.87 | (491) c_Int_OBit1(c_Int_OPls) = all_981_0 & $i(all_981_0) & ! [v0: $i] :
% 229.28/37.87 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v0 | ~
% 229.28/37.87 | (c_Int_Onumber__class_Onumber__of(v1, all_981_0) = v2) | ~
% 229.28/37.87 | (c_Groups_Otimes__class_Otimes(v1, v2) = v3) | ~ (hAPP(v3, v0) =
% 229.28/37.87 | v4) | ~ $i(v1) | ~ $i(v0) | ~ class_Int_Onumber__ring(v1))
% 229.28/37.87 |
% 229.28/37.87 | ALPHA: (491) implies:
% 229.28/37.87 | (492) c_Int_OBit1(c_Int_OPls) = all_981_0
% 229.28/37.87 |
% 229.28/37.87 | DELTA: instantiating (171) with fresh symbols all_984_0, all_984_1, all_984_2,
% 229.28/37.87 | all_984_3 gives:
% 229.28/37.87 | (493) c_Int_OBit0(all_984_1) = all_984_0 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.87 | all_984_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_984_0)
% 229.28/37.87 | = all_984_2 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_984_3,
% 229.28/37.87 | all_984_3) = all_984_2 & c_Groups_Oone__class_Oone(tc_Nat_Onat) =
% 229.28/37.87 | all_984_3 & $i(all_984_0) & $i(all_984_1) & $i(all_984_2) &
% 229.28/37.87 | $i(all_984_3)
% 229.28/37.87 |
% 229.28/37.87 | ALPHA: (493) implies:
% 229.28/37.87 | (494) $i(all_984_0)
% 229.28/37.87 | (495) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_984_0) = all_984_2
% 229.28/37.87 | (496) c_Int_OBit1(c_Int_OPls) = all_984_1
% 229.28/37.87 | (497) c_Int_OBit0(all_984_1) = all_984_0
% 229.28/37.87 |
% 229.28/37.87 | DELTA: instantiating (122) with fresh symbol all_986_0 gives:
% 229.28/37.87 | (498) c_Int_OBit1(c_Int_OPls) = all_986_0 & $i(all_986_0) & ! [v0: $i] :
% 229.28/37.87 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 229.28/37.87 | (c_Int_Onumber__class_Onumber__of(v1, all_986_0) = v2) | ~
% 229.28/37.87 | (c_Rings_Oinverse__class_Odivide(v1, v0, v2) = v3) | ~ $i(v1) | ~
% 229.28/37.87 | $i(v0) | ~ class_Int_Onumber__ring(v1) | ~
% 229.28/37.87 | class_Fields_Ofield(v1))
% 229.28/37.87 |
% 229.28/37.87 | ALPHA: (498) implies:
% 229.28/37.87 | (499) c_Int_OBit1(c_Int_OPls) = all_986_0
% 229.28/37.87 |
% 229.28/37.87 | DELTA: instantiating (120) with fresh symbol all_989_0 gives:
% 229.28/37.87 | (500) c_Int_OBit1(c_Int_OPls) = all_989_0 & $i(all_989_0) & ! [v0: $i] :
% 229.28/37.87 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v0 | ~
% 229.28/37.87 | (c_Int_Onumber__class_Onumber__of(v1, all_989_0) = v3) | ~
% 229.28/37.87 | (c_Groups_Otimes__class_Otimes(v1, v0) = v2) | ~ (hAPP(v2, v3) =
% 229.28/37.87 | v4) | ~ $i(v1) | ~ $i(v0) | ~ class_Int_Onumber__ring(v1))
% 229.28/37.87 |
% 229.28/37.87 | ALPHA: (500) implies:
% 229.28/37.87 | (501) c_Int_OBit1(c_Int_OPls) = all_989_0
% 229.28/37.87 |
% 229.28/37.87 | DELTA: instantiating (38) with fresh symbol all_992_0 gives:
% 229.28/37.87 | (502) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_992_0 &
% 229.28/37.87 | $i(all_992_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 |
% 229.28/37.87 | ~ (hAPP(c_Transcendental_Oln, v1) = v2) | ~
% 229.28/37.87 | (hAPP(c_Transcendental_Oln, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 229.28/37.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_992_0, v1) | ~
% 229.28/37.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_992_0, v0))
% 229.28/37.87 |
% 229.28/37.87 | ALPHA: (502) implies:
% 229.28/37.87 | (503) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_992_0
% 229.28/37.87 |
% 229.28/37.87 | DELTA: instantiating (96) with fresh symbol all_995_0 gives:
% 229.28/37.87 | (504) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_995_0 & $i(all_995_0)
% 229.28/37.87 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 229.28/37.87 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1) = v2) | ~
% 229.28/37.87 | (hAPP(v2, v0) = v3) | ~ $i(v1) | ~ $i(v0) | ~
% 229.28/37.87 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_995_0, v1) | ~
% 229.28/37.87 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_995_0, v0) |
% 229.28/37.87 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_995_0, v3))
% 229.28/37.87 |
% 229.28/37.87 | ALPHA: (504) implies:
% 229.28/37.87 | (505) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_995_0
% 229.28/37.87 |
% 229.28/37.87 | DELTA: instantiating (122) with fresh symbol all_998_0 gives:
% 229.28/37.87 | (506) c_Int_OBit1(c_Int_OPls) = all_998_0 & $i(all_998_0) & ! [v0: $i] :
% 229.28/37.87 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 229.28/37.87 | (c_Int_Onumber__class_Onumber__of(v1, all_998_0) = v2) | ~
% 229.28/37.87 | (c_Rings_Oinverse__class_Odivide(v1, v0, v2) = v3) | ~ $i(v1) | ~
% 229.28/37.87 | $i(v0) | ~ class_Int_Onumber__ring(v1) | ~
% 229.28/37.87 | class_Fields_Ofield(v1))
% 229.28/37.87 |
% 229.28/37.87 | ALPHA: (506) implies:
% 229.28/37.87 | (507) c_Int_OBit1(c_Int_OPls) = all_998_0
% 229.28/37.87 |
% 229.28/37.87 | DELTA: instantiating (44) with fresh symbols all_1002_0, all_1002_1 gives:
% 229.28/37.87 | (508) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1002_0 &
% 229.28/37.87 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1002_1 &
% 229.28/37.87 | $i(all_1002_0) & $i(all_1002_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.87 | (hAPP(c_Transcendental_Oln, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1002_0) |
% 229.28/37.87 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1002_1, v0) |
% 229.28/37.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1002_1))
% 229.28/37.87 |
% 229.28/37.87 | ALPHA: (508) implies:
% 229.28/37.87 | (509) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1002_1
% 229.28/37.87 | (510) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1002_0
% 229.28/37.87 |
% 229.28/37.87 | DELTA: instantiating (167) with fresh symbols all_1005_0, all_1005_1,
% 229.28/37.87 | all_1005_2, all_1005_3 gives:
% 229.28/37.87 | (511) c_Int_OBit0(all_1005_2) = all_1005_1 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.87 | all_1005_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.28/37.87 | all_1005_1) = all_1005_0 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 229.28/37.87 | = all_1005_3 & $i(all_1005_0) & $i(all_1005_1) & $i(all_1005_2) &
% 229.28/37.87 | $i(all_1005_3) & c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 229.28/37.87 | all_1005_3, all_1005_0)
% 229.28/37.87 |
% 229.28/37.87 | ALPHA: (511) implies:
% 229.28/37.87 | (512) c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1005_3, all_1005_0)
% 229.28/37.87 | (513) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1005_3
% 229.28/37.87 | (514) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1005_1) =
% 229.28/37.87 | all_1005_0
% 229.28/37.87 | (515) c_Int_OBit1(c_Int_OPls) = all_1005_2
% 229.28/37.87 | (516) c_Int_OBit0(all_1005_2) = all_1005_1
% 229.28/37.87 |
% 229.28/37.87 | DELTA: instantiating (43) with fresh symbols all_1007_0, all_1007_1 gives:
% 229.28/37.87 | (517) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1007_0 &
% 229.28/37.87 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1007_1 &
% 229.28/37.87 | $i(all_1007_0) & $i(all_1007_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.87 | (hAPP(c_Transcendental_Oln, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1007_1, v1) |
% 229.28/37.87 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1007_1, v0) |
% 229.28/37.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1007_0, v0))
% 229.28/37.87 |
% 229.28/37.87 | ALPHA: (517) implies:
% 229.28/37.87 | (518) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1007_1
% 229.28/37.87 | (519) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1007_0
% 229.28/37.87 |
% 229.28/37.87 | DELTA: instantiating (19) with fresh symbol all_1010_0 gives:
% 229.28/37.87 | (520) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1010_0 &
% 229.28/37.87 | $i(all_1010_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.28/37.87 | $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1) =
% 229.28/37.87 | v2) | ~ (hAPP(v2, v0) = v3) | ~ $i(v1) | ~ $i(v0) | ~
% 229.28/37.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1010_0, v1) |
% 229.28/37.87 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1010_0, v0) |
% 229.28/37.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1010_0, v3))
% 229.28/37.87 |
% 229.28/37.87 | ALPHA: (520) implies:
% 229.28/37.87 | (521) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1010_0
% 229.28/37.87 |
% 229.28/37.87 | DELTA: instantiating (126) with fresh symbols all_1013_0, all_1013_1,
% 229.28/37.87 | all_1013_2, all_1013_3 gives:
% 229.28/37.87 | (522) c_Int_OBit1(all_1013_2) = all_1013_1 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.87 | all_1013_2 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint,
% 229.28/37.87 | all_1013_1) = all_1013_0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 229.28/37.87 | = all_1013_3 & $i(all_1013_0) & $i(all_1013_1) & $i(all_1013_2) &
% 229.28/37.87 | $i(all_1013_3) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 229.28/37.87 | all_1013_3, all_1013_0)
% 229.28/37.87 |
% 229.28/37.87 | ALPHA: (522) implies:
% 229.28/37.87 | (523) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1013_3
% 229.28/37.87 | (524) c_Int_OBit1(c_Int_OPls) = all_1013_2
% 229.28/37.87 |
% 229.28/37.87 | DELTA: instantiating (263) with fresh symbols all_1015_0, all_1015_1,
% 229.28/37.87 | all_1015_2 gives:
% 229.28/37.87 | (525) c_Int_OBit0(all_1015_2) = all_1015_1 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.87 | all_1015_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.28/37.87 | all_1015_1) = all_1015_0 & $i(all_1015_0) & $i(all_1015_1) &
% 229.28/37.87 | $i(all_1015_2) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.87 | (c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(v0) = v1) | ~
% 229.28/37.87 | $i(v0) | c_Power_Opower__class_Opower(tc_Complex_Ocomplex, v1,
% 229.28/37.87 | all_1015_0) = v0)
% 229.28/37.87 |
% 229.28/37.87 | ALPHA: (525) implies:
% 229.28/37.87 | (526) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1015_1) =
% 229.28/37.87 | all_1015_0
% 229.28/37.87 | (527) c_Int_OBit1(c_Int_OPls) = all_1015_2
% 229.28/37.87 | (528) c_Int_OBit0(all_1015_2) = all_1015_1
% 229.28/37.87 |
% 229.28/37.87 | DELTA: instantiating (180) with fresh symbol all_1018_0 gives:
% 229.28/37.87 | (529) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1018_0 &
% 229.28/37.87 | $i(all_1018_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.87 | (hAPP(c_NthRoot_Osqrt, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1018_0) |
% 229.28/37.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1018_0)) &
% 229.28/37.87 | ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v0) = v1) | ~
% 229.28/37.87 | $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 229.28/37.87 | all_1018_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 229.28/37.87 | all_1018_0))
% 229.28/37.87 |
% 229.28/37.87 | ALPHA: (529) implies:
% 229.28/37.87 | (530) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1018_0
% 229.28/37.87 |
% 229.28/37.87 | DELTA: instantiating (153) with fresh symbols all_1021_0, all_1021_1 gives:
% 229.28/37.87 | (531) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1021_1 &
% 229.28/37.87 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1021_0 &
% 229.28/37.87 | $i(all_1021_0) & $i(all_1021_1) & ! [v0: any] : ! [v1: any] : !
% 229.28/37.87 | [v2: $i] : (v1 = all_1021_0 | v0 = all_1021_1 | ~
% 229.28/37.87 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1) = v2) | ~
% 229.28/37.87 | (hAPP(v2, v0) = v1) | ~ $i(v1) | ~ $i(v0))
% 229.28/37.87 |
% 229.28/37.87 | ALPHA: (531) implies:
% 229.28/37.87 | (532) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1021_0
% 229.28/37.87 |
% 229.28/37.87 | DELTA: instantiating (177) with fresh symbols all_1024_0, all_1024_1,
% 229.28/37.87 | all_1024_2 gives:
% 229.28/37.87 | (533) c_Int_OBit0(all_1024_2) = all_1024_1 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.87 | all_1024_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 229.28/37.87 | all_1024_1) = all_1024_0 & $i(all_1024_0) & $i(all_1024_1) &
% 229.28/37.87 | $i(all_1024_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v0 |
% 229.28/37.87 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v1) = v2) |
% 229.28/37.87 | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0,
% 229.28/37.87 | all_1024_0) = v1) | ~ $i(v0))
% 229.28/37.87 |
% 229.28/37.87 | ALPHA: (533) implies:
% 229.28/37.87 | (534) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1024_1) =
% 229.28/37.87 | all_1024_0
% 229.28/37.87 | (535) c_Int_OBit1(c_Int_OPls) = all_1024_2
% 229.28/37.87 | (536) c_Int_OBit0(all_1024_2) = all_1024_1
% 229.28/37.87 |
% 229.28/37.87 | DELTA: instantiating (183) with fresh symbol all_1027_0 gives:
% 229.28/37.87 | (537) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1027_0 &
% 229.28/37.87 | $i(all_1027_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.87 | (hAPP(c_NthRoot_Osqrt, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, all_1027_0)
% 229.28/37.87 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 229.28/37.87 | all_1027_0)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.87 | (hAPP(c_NthRoot_Osqrt, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, all_1027_0)
% 229.28/37.87 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 229.28/37.87 | all_1027_0))
% 229.28/37.87 |
% 229.28/37.87 | ALPHA: (537) implies:
% 229.28/37.87 | (538) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1027_0
% 229.28/37.87 |
% 229.28/37.87 | DELTA: instantiating (62) with fresh symbols all_1030_0, all_1030_1 gives:
% 229.28/37.87 | (539) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1030_1 &
% 229.28/37.87 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1030_0 &
% 229.28/37.87 | $i(all_1030_0) & $i(all_1030_1) & ! [v0: $i] : ( ~ $i(v0) | ~
% 229.28/37.87 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1030_1, v0) |
% 229.28/37.87 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1030_0, v0)) & !
% 229.28/37.87 | [v0: $i] : ( ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 229.28/37.87 | all_1030_0, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 229.28/37.87 | all_1030_1, v0))
% 229.28/37.87 |
% 229.28/37.87 | ALPHA: (539) implies:
% 229.28/37.87 | (540) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1030_0
% 229.28/37.87 |
% 229.28/37.87 | DELTA: instantiating (156) with fresh symbol all_1033_0 gives:
% 229.28/37.88 | (541) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1033_0 &
% 229.28/37.88 | $i(all_1033_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.28/37.88 | $i] : ! [v4: $i] : (v1 = v0 | ~
% 229.28/37.88 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3) | ~
% 229.28/37.88 | (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v4) | ~ $i(v2) | ~
% 229.28/37.88 | $i(v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 229.28/37.88 | all_1033_0, v2))
% 229.28/37.88 |
% 229.28/37.88 | ALPHA: (541) implies:
% 229.28/37.88 | (542) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1033_0
% 229.28/37.88 |
% 229.28/37.88 | DELTA: instantiating (31) with fresh symbols all_1036_0, all_1036_1 gives:
% 229.28/37.88 | (543) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1036_0 &
% 229.28/37.88 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1036_1 &
% 229.28/37.88 | $i(all_1036_0) & $i(all_1036_1) & ! [v0: any] : ! [v1: $i] : !
% 229.28/37.88 | [v2: $i] : ! [v3: int] : (v3 = all_1036_0 | v0 = all_1036_1 | ~
% 229.28/37.88 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v0) = v1) | ~
% 229.28/37.88 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1) = v2) | ~
% 229.28/37.88 | (hAPP(v2, v0) = v3) | ~ $i(v0))
% 229.28/37.88 |
% 229.28/37.88 | ALPHA: (543) implies:
% 229.28/37.88 | (544) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1036_1
% 229.28/37.88 | (545) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1036_0
% 229.28/37.88 |
% 229.28/37.88 | DELTA: instantiating (21) with fresh symbols all_1039_0, all_1039_1,
% 229.28/37.88 | all_1039_2, all_1039_3 gives:
% 229.28/37.88 | (546) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1039_2 &
% 229.28/37.88 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e, v_m____) =
% 229.28/37.88 | all_1039_1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 229.28/37.88 | all_1039_3 & $i(all_1039_0) & $i(all_1039_1) & $i(all_1039_2) &
% 229.28/37.88 | $i(all_1039_3) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.28/37.88 | all_1039_0, all_1039_1) &
% 229.28/37.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1039_0,
% 229.28/37.88 | all_1039_2) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.28/37.88 | all_1039_3, all_1039_0)
% 229.28/37.88 |
% 229.28/37.88 | ALPHA: (546) implies:
% 229.28/37.88 | (547) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1039_3
% 229.28/37.88 | (548) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e, v_m____) =
% 229.28/37.88 | all_1039_1
% 229.28/37.88 | (549) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1039_2
% 229.28/37.88 |
% 229.28/37.88 | DELTA: instantiating (21) with fresh symbols all_1041_0, all_1041_1,
% 229.28/37.88 | all_1041_2, all_1041_3 gives:
% 229.28/37.88 | (550) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1041_2 &
% 229.28/37.88 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e, v_m____) =
% 229.28/37.88 | all_1041_1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 229.28/37.88 | all_1041_3 & $i(all_1041_0) & $i(all_1041_1) & $i(all_1041_2) &
% 229.28/37.88 | $i(all_1041_3) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.28/37.88 | all_1041_0, all_1041_1) &
% 229.28/37.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1041_0,
% 229.28/37.88 | all_1041_2) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.28/37.88 | all_1041_3, all_1041_0)
% 229.28/37.88 |
% 229.28/37.88 | ALPHA: (550) implies:
% 229.28/37.88 | (551) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1041_3
% 229.28/37.88 | (552) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e, v_m____) =
% 229.28/37.88 | all_1041_1
% 229.28/37.88 | (553) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1041_2
% 229.28/37.88 |
% 229.28/37.88 | DELTA: instantiating (254) with fresh symbol all_1043_0 gives:
% 229.28/37.88 | (554) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1043_0 &
% 229.28/37.88 | $i(all_1043_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.28/37.88 | $i] : ! [v4: $i] : ( ~ (c_Power_Opower__class_Opower(tc_Nat_Onat,
% 229.28/37.88 | v2, v1) = v3) | ~ (c_Power_Opower__class_Opower(tc_Nat_Onat,
% 229.28/37.88 | v2, v0) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 229.28/37.88 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4) | ~
% 229.28/37.88 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1043_0, v2) |
% 229.28/37.88 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0))
% 229.28/37.88 |
% 229.28/37.88 | ALPHA: (554) implies:
% 229.28/37.88 | (555) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1043_0
% 229.28/37.88 |
% 229.28/37.88 | DELTA: instantiating (181) with fresh symbol all_1046_0 gives:
% 229.28/37.88 | (556) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1046_0 &
% 229.28/37.88 | $i(all_1046_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.88 | (hAPP(c_NthRoot_Osqrt, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1046_0, v1) |
% 229.28/37.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1046_0, v0)) &
% 229.28/37.88 | ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v0) = v1) | ~
% 229.28/37.88 | $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.28/37.88 | all_1046_0, v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.28/37.88 | all_1046_0, v1))
% 229.28/37.88 |
% 229.28/37.88 | ALPHA: (556) implies:
% 229.28/37.88 | (557) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1046_0
% 229.28/37.88 |
% 229.28/37.88 | DELTA: instantiating (161) with fresh symbol all_1049_0 gives:
% 229.28/37.88 | (558) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1049_0 &
% 229.28/37.88 | $i(all_1049_0) & ! [v0: $i] : ! [v1: $i] : ( ~ (c_Int_OBit0(v0) =
% 229.28/37.88 | v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 229.28/37.88 | v1, all_1049_0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0,
% 229.28/37.88 | all_1049_0)) & ! [v0: $i] : ! [v1: $i] : ( ~ (c_Int_OBit0(v0) =
% 229.28/37.88 | v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 229.28/37.88 | v0, all_1049_0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1,
% 229.28/37.88 | all_1049_0))
% 229.28/37.88 |
% 229.28/37.88 | ALPHA: (558) implies:
% 229.28/37.88 | (559) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1049_0
% 229.28/37.88 |
% 229.28/37.88 | DELTA: instantiating (103) with fresh symbol all_1052_0 gives:
% 229.28/37.88 | (560) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1052_0 &
% 229.28/37.88 | $i(all_1052_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.88 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1) | ~
% 229.28/37.88 | $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1052_0,
% 229.28/37.88 | v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0))
% 229.28/37.88 | & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.88 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1) | ~
% 229.28/37.88 | $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls,
% 229.28/37.88 | v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1052_0, v1))
% 229.28/37.88 |
% 229.28/37.88 | ALPHA: (560) implies:
% 229.28/37.88 | (561) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1052_0
% 229.28/37.88 |
% 229.28/37.88 | DELTA: instantiating (190) with fresh symbol all_1055_0 gives:
% 229.28/37.88 | (562) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1055_0 &
% 229.28/37.88 | $i(all_1055_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.88 | (hAPP(c_NthRoot_Osqrt, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1055_0, v1) |
% 229.28/37.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1055_0, v0)) &
% 229.28/37.88 | ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v0) = v1) | ~
% 229.28/37.88 | $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.28/37.88 | all_1055_0, v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.28/37.88 | all_1055_0, v1))
% 229.28/37.88 |
% 229.28/37.88 | ALPHA: (562) implies:
% 229.28/37.88 | (563) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1055_0
% 229.28/37.88 |
% 229.28/37.88 | DELTA: instantiating (189) with fresh symbol all_1058_0 gives:
% 229.28/37.88 | (564) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1058_0 &
% 229.28/37.88 | $i(all_1058_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.88 | (hAPP(c_NthRoot_Osqrt, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1058_0) |
% 229.28/37.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1058_0)) &
% 229.28/37.88 | ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v0) = v1) | ~
% 229.28/37.88 | $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 229.28/37.88 | all_1058_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 229.28/37.88 | all_1058_0))
% 229.28/37.88 |
% 229.28/37.88 | ALPHA: (564) implies:
% 229.28/37.88 | (565) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1058_0
% 229.28/37.88 |
% 229.28/37.88 | DELTA: instantiating (191) with fresh symbol all_1061_0 gives:
% 229.28/37.88 | (566) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1061_0 &
% 229.28/37.88 | $i(all_1061_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.88 | (hAPP(c_NthRoot_Osqrt, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1061_0, v1)
% 229.28/37.88 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1061_0,
% 229.28/37.88 | v0)) & ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v0)
% 229.28/37.88 | = v1) | ~ $i(v0) | ~
% 229.28/37.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1061_0, v0)
% 229.28/37.88 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1061_0,
% 229.28/37.88 | v1))
% 229.28/37.88 |
% 229.28/37.88 | ALPHA: (566) implies:
% 229.28/37.88 | (567) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1061_0
% 229.28/37.88 |
% 229.28/37.88 | DELTA: instantiating (77) with fresh symbols all_1064_0, all_1064_1,
% 229.28/37.88 | all_1064_2 gives:
% 229.28/37.88 | (568) c_Transcendental_Oexp(tc_RealDef_Oreal) = all_1064_0 &
% 229.28/37.88 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1064_1 &
% 229.28/37.88 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1064_2 &
% 229.28/37.88 | $i(all_1064_0) & $i(all_1064_1) & $i(all_1064_2) & ! [v0: $i] : !
% 229.28/37.88 | [v1: $i] : ( ~ (hAPP(all_1064_0, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1064_2, v0) |
% 229.28/37.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1064_1, v1))
% 229.28/37.88 |
% 229.28/37.88 | ALPHA: (568) implies:
% 229.28/37.88 | (569) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1064_2
% 229.28/37.88 | (570) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1064_1
% 229.28/37.88 |
% 229.28/37.88 | DELTA: instantiating (117) with fresh symbol all_1067_0 gives:
% 229.28/37.88 | (571) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1067_0 &
% 229.28/37.88 | $i(all_1067_0) & ! [v0: $i] : ! [v1: $i] : ( ~ (c_Int_OBit1(v0) =
% 229.28/37.88 | v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 229.28/37.88 | v1, all_1067_0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0,
% 229.28/37.88 | all_1067_0)) & ! [v0: $i] : ! [v1: $i] : ( ~ (c_Int_OBit1(v0) =
% 229.28/37.88 | v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 229.28/37.88 | v0, all_1067_0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1,
% 229.28/37.88 | all_1067_0))
% 229.28/37.88 |
% 229.28/37.88 | ALPHA: (571) implies:
% 229.28/37.88 | (572) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1067_0
% 229.28/37.88 |
% 229.28/37.88 | DELTA: instantiating (23) with fresh symbol all_1070_0 gives:
% 229.28/37.88 | (573) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1070_0 &
% 229.28/37.88 | $i(all_1070_0) & ! [v0: any] : ! [v1: $i] : ! [v2: $i] : (v0 =
% 229.28/37.88 | all_1070_0 | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,
% 229.28/37.88 | v0) = v1) | ~ (hAPP(v1, v0) = v2) | ~ $i(v0) |
% 229.28/37.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1070_0, v2)) &
% 229.28/37.88 | ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.88 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1070_0) = v0)
% 229.28/37.88 | | ~ (hAPP(v0, all_1070_0) = v1) | ~
% 229.28/37.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1070_0, v1))
% 229.28/37.88 |
% 229.28/37.88 | ALPHA: (573) implies:
% 229.28/37.88 | (574) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1070_0
% 229.28/37.88 |
% 229.28/37.88 | DELTA: instantiating (192) with fresh symbol all_1073_0 gives:
% 229.28/37.88 | (575) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1073_0 &
% 229.28/37.88 | $i(all_1073_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.88 | (hAPP(c_NthRoot_Osqrt, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, all_1073_0)
% 229.28/37.88 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 229.28/37.88 | all_1073_0)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.88 | (hAPP(c_NthRoot_Osqrt, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, all_1073_0)
% 229.28/37.88 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 229.28/37.88 | all_1073_0))
% 229.28/37.88 |
% 229.28/37.88 | ALPHA: (575) implies:
% 229.28/37.88 | (576) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1073_0
% 229.28/37.88 |
% 229.28/37.88 | DELTA: instantiating (182) with fresh symbol all_1076_0 gives:
% 229.28/37.88 | (577) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1076_0 &
% 229.28/37.88 | $i(all_1076_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.88 | (hAPP(c_NthRoot_Osqrt, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1076_0, v1)
% 229.28/37.88 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1076_0,
% 229.28/37.88 | v0)) & ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v0)
% 229.28/37.88 | = v1) | ~ $i(v0) | ~
% 229.28/37.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1076_0, v0)
% 229.28/37.88 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1076_0,
% 229.28/37.88 | v1))
% 229.28/37.88 |
% 229.28/37.88 | ALPHA: (577) implies:
% 229.28/37.88 | (578) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1076_0
% 229.28/37.88 |
% 229.28/37.88 | DELTA: instantiating (16) with fresh symbol all_1079_0 gives:
% 229.28/37.88 | (579) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1079_0 &
% 229.28/37.88 | $i(all_1079_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ! [v3:
% 229.28/37.88 | $i] : ! [v4: $i] : (v2 = all_1079_0 | v1 = v0 | ~
% 229.28/37.88 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) = v3) | ~
% 229.28/37.88 | (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v4) | ~ $i(v2) | ~
% 229.28/37.88 | $i(v1) | ~ $i(v0))
% 229.28/37.88 |
% 229.28/37.88 | ALPHA: (579) implies:
% 229.28/37.88 | (580) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1079_0
% 229.28/37.88 |
% 229.28/37.88 | DELTA: instantiating (35) with fresh symbols all_1082_0, all_1082_1 gives:
% 229.28/37.88 | (581) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1082_0 &
% 229.28/37.88 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1082_1 &
% 229.28/37.88 | $i(all_1082_0) & $i(all_1082_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.88 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1082_0, v0) =
% 229.28/37.88 | v1) | ~ $i(v0) | ~
% 229.28/37.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1082_1, v0)
% 229.28/37.88 | | ? [v2: $i] : (hAPP(c_Transcendental_Oln, v1) = v2 & $i(v2) &
% 229.28/37.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0)))
% 229.28/37.88 |
% 229.28/37.88 | ALPHA: (581) implies:
% 229.28/37.88 | (582) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1082_1
% 229.28/37.88 | (583) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1082_0
% 229.28/37.88 |
% 229.28/37.88 | DELTA: instantiating (82) with fresh symbol all_1085_0 gives:
% 229.28/37.88 | (584) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1085_0 &
% 229.28/37.88 | $i(all_1085_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.88 | (hAPP(c_Transcendental_Oln, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1085_0, v0) |
% 229.28/37.88 | ? [v2: $i] : ? [v3: $i] :
% 229.28/37.88 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3 &
% 229.28/37.88 | c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v0) = v2 &
% 229.28/37.88 | hAPP(c_Transcendental_Oln, v2) = v3 & $i(v3) & $i(v2)))
% 229.28/37.88 |
% 229.28/37.88 | ALPHA: (584) implies:
% 229.28/37.88 | (585) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1085_0
% 229.28/37.88 |
% 229.28/37.88 | DELTA: instantiating (65) with fresh symbol all_1088_0 gives:
% 229.28/37.88 | (586) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1088_0 &
% 229.28/37.88 | $i(all_1088_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 =
% 229.28/37.88 | all_1088_0 | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 229.28/37.88 | v0) = v1) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 229.28/37.88 | v0, v1) = v2) | ~ $i(v0)) & ! [v0: $i] : ! [v1: $i] : !
% 229.28/37.88 | [v2: $i] : (v1 = v0 | ~
% 229.28/37.88 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) = v2) | ~
% 229.28/37.88 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v2) =
% 229.28/37.88 | all_1088_0) | ~ $i(v1) | ~ $i(v0))
% 229.28/37.88 |
% 229.28/37.88 | ALPHA: (586) implies:
% 229.28/37.88 | (587) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1088_0
% 229.28/37.88 |
% 229.28/37.88 | DELTA: instantiating (166) with fresh symbols all_1091_0, all_1091_1 gives:
% 229.28/37.88 | (588) c_Int_OBit0(all_1091_1) = all_1091_0 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.88 | all_1091_1 & $i(all_1091_0) & $i(all_1091_1) & ! [v0: $i] : ! [v1:
% 229.28/37.88 | $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v0, all_1091_0) = v1) |
% 229.28/37.88 | ~ $i(v0) | ~ class_Int_Onumber__ring(v0) | ? [v2: $i] :
% 229.28/37.88 | (c_Groups_Oplus__class_Oplus(v0, v2, v2) = v1 &
% 229.28/37.88 | c_Groups_Oone__class_Oone(v0) = v2 & $i(v2) & $i(v1)))
% 229.28/37.88 |
% 229.28/37.88 | ALPHA: (588) implies:
% 229.28/37.88 | (589) c_Int_OBit1(c_Int_OPls) = all_1091_1
% 229.28/37.88 | (590) c_Int_OBit0(all_1091_1) = all_1091_0
% 229.28/37.88 |
% 229.28/37.88 | DELTA: instantiating (18) with fresh symbol all_1094_0 gives:
% 229.28/37.88 | (591) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1094_0 &
% 229.28/37.88 | $i(all_1094_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.28/37.88 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 229.28/37.88 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) = v3) | ~
% 229.28/37.88 | (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ $i(v2) | ~
% 229.28/37.88 | $i(v1) | ~ $i(v0) | ~
% 229.28/37.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | ~
% 229.28/37.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1094_0, v2) |
% 229.28/37.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v5))
% 229.28/37.88 |
% 229.28/37.88 | ALPHA: (591) implies:
% 229.28/37.88 | (592) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1094_0
% 229.28/37.88 |
% 229.28/37.88 | DELTA: instantiating (201) with fresh symbols all_1099_0, all_1099_1,
% 229.28/37.88 | all_1099_2, all_1099_3, all_1099_4 gives:
% 229.28/37.89 | (593) c_Int_OBit0(all_1099_3) = all_1099_2 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.89 | all_1099_3 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 229.28/37.89 | all_1099_2) = all_1099_1 &
% 229.28/37.89 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1099_4 &
% 229.28/37.89 | hAPP(c_NthRoot_Osqrt, all_1099_1) = all_1099_0 & $i(all_1099_0) &
% 229.28/37.89 | $i(all_1099_1) & $i(all_1099_2) & $i(all_1099_3) & $i(all_1099_4) &
% 229.28/37.89 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1099_4,
% 229.28/37.89 | all_1099_0)
% 229.28/37.89 |
% 229.28/37.89 | ALPHA: (593) implies:
% 229.28/37.89 | (594) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1099_4
% 229.28/37.89 | (595) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1099_2) =
% 229.28/37.89 | all_1099_1
% 229.28/37.89 | (596) c_Int_OBit1(c_Int_OPls) = all_1099_3
% 229.28/37.89 | (597) c_Int_OBit0(all_1099_3) = all_1099_2
% 229.28/37.89 |
% 229.28/37.89 | DELTA: instantiating (200) with fresh symbols all_1101_0, all_1101_1,
% 229.28/37.89 | all_1101_2, all_1101_3, all_1101_4 gives:
% 229.28/37.89 | (598) c_Int_OBit0(all_1101_3) = all_1101_2 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.89 | all_1101_3 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 229.28/37.89 | all_1101_2) = all_1101_1 &
% 229.28/37.89 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1101_4 &
% 229.28/37.89 | hAPP(c_NthRoot_Osqrt, all_1101_1) = all_1101_0 & $i(all_1101_0) &
% 229.28/37.89 | $i(all_1101_1) & $i(all_1101_2) & $i(all_1101_3) & $i(all_1101_4) &
% 229.28/37.89 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1101_4,
% 229.28/37.89 | all_1101_0)
% 229.28/37.89 |
% 229.28/37.89 | ALPHA: (598) implies:
% 229.28/37.89 | (599) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1101_4
% 229.28/37.89 | (600) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1101_2) =
% 229.28/37.89 | all_1101_1
% 229.28/37.89 | (601) c_Int_OBit1(c_Int_OPls) = all_1101_3
% 229.28/37.89 | (602) c_Int_OBit0(all_1101_3) = all_1101_2
% 229.28/37.89 |
% 229.28/37.89 | DELTA: instantiating (152) with fresh symbol all_1103_0 gives:
% 229.28/37.89 | (603) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1103_0 &
% 229.28/37.89 | $i(all_1103_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.28/37.89 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 229.28/37.89 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0) = v3) | ~
% 229.28/37.89 | (hAPP(v3, v2) = v4) | ~ (hAPP(v3, v1) = v5) | ~ $i(v2) | ~
% 229.28/37.89 | $i(v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 229.28/37.89 | v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 229.28/37.89 | all_1103_0, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4,
% 229.28/37.89 | v5))
% 229.28/37.89 |
% 229.28/37.89 | ALPHA: (603) implies:
% 229.28/37.89 | (604) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1103_0
% 229.28/37.89 |
% 229.28/37.89 | DELTA: instantiating (70) with fresh symbols all_1106_0, all_1106_1,
% 229.28/37.89 | all_1106_2 gives:
% 229.28/37.89 | (605) c_Transcendental_Oexp(tc_RealDef_Oreal) = all_1106_2 &
% 229.28/37.89 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1106_1 &
% 229.28/37.89 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1106_0 &
% 229.28/37.89 | $i(all_1106_0) & $i(all_1106_1) & $i(all_1106_2) & ! [v0: any] : (v0
% 229.28/37.89 | = all_1106_0 | ~ (hAPP(all_1106_2, v0) = all_1106_1) | ~ $i(v0))
% 229.28/37.89 | & ! [v0: int] : (v0 = all_1106_1 | ~ (hAPP(all_1106_2, all_1106_0)
% 229.28/37.89 | = v0))
% 229.28/37.89 |
% 229.28/37.89 | ALPHA: (605) implies:
% 229.28/37.89 | (606) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1106_0
% 229.28/37.89 | (607) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1106_1
% 229.28/37.89 |
% 229.28/37.89 | DELTA: instantiating (17) with fresh symbol all_1109_0 gives:
% 229.28/37.89 | (608) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1109_0 &
% 229.28/37.89 | $i(all_1109_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ! [v3:
% 229.28/37.89 | $i] : ! [v4: $i] : ! [v5: $i] : (v2 = all_1109_0 | v1 = v0 | ~
% 229.28/37.89 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1) = v3) | ~
% 229.28/37.89 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0) = v5) | ~
% 229.28/37.89 | (hAPP(v5, v2) = v4) | ~ (hAPP(v3, v2) = v4) | ~ $i(v2) | ~
% 229.28/37.89 | $i(v1) | ~ $i(v0))
% 229.28/37.89 |
% 229.28/37.89 | ALPHA: (608) implies:
% 229.28/37.89 | (609) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1109_0
% 229.28/37.89 |
% 229.28/37.89 | DELTA: instantiating (214) with fresh symbols all_1112_0, all_1112_1,
% 229.28/37.89 | all_1112_2 gives:
% 229.28/37.89 | (610) c_Int_OBit0(all_1112_2) = all_1112_1 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.89 | all_1112_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.28/37.89 | all_1112_1) = all_1112_0 & $i(all_1112_0) & $i(all_1112_1) &
% 229.28/37.89 | $i(all_1112_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 |
% 229.28/37.89 | ~ (c_Power_Opower__class_Opower(v0, v1, all_1112_0) = v2) | ~
% 229.28/37.89 | (c_Groups_Oone__class_Oone(v0) = v1) | ~ $i(v0) | ~
% 229.28/37.89 | class_Rings_Osemiring__1(v0))
% 229.28/37.89 |
% 229.28/37.89 | ALPHA: (610) implies:
% 229.28/37.89 | (611) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1112_1) =
% 229.28/37.89 | all_1112_0
% 229.28/37.89 | (612) c_Int_OBit1(c_Int_OPls) = all_1112_2
% 229.28/37.89 | (613) c_Int_OBit0(all_1112_2) = all_1112_1
% 229.28/37.89 |
% 229.28/37.89 | DELTA: instantiating (229) with fresh symbols all_1115_0, all_1115_1,
% 229.28/37.89 | all_1115_2, all_1115_3 gives:
% 229.28/37.89 | (614) c_Int_OBit0(all_1115_2) = all_1115_1 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.89 | all_1115_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 229.28/37.89 | all_1115_1) = all_1115_0 &
% 229.28/37.89 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1115_3 &
% 229.28/37.89 | $i(all_1115_0) & $i(all_1115_1) & $i(all_1115_2) & $i(all_1115_3) &
% 229.28/37.89 | ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.89 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, all_1115_0, v0) =
% 229.28/37.89 | v1) | ~ $i(v0) |
% 229.28/37.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1115_3,
% 229.28/37.89 | v1))
% 229.28/37.89 |
% 229.28/37.89 | ALPHA: (614) implies:
% 229.28/37.89 | (615) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1115_3
% 229.28/37.89 | (616) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1115_1) =
% 229.28/37.89 | all_1115_0
% 229.28/37.89 | (617) c_Int_OBit1(c_Int_OPls) = all_1115_2
% 229.28/37.89 | (618) c_Int_OBit0(all_1115_2) = all_1115_1
% 229.28/37.89 |
% 229.28/37.89 | DELTA: instantiating (210) with fresh symbols all_1118_0, all_1118_1,
% 229.28/37.89 | all_1118_2 gives:
% 229.28/37.89 | (619) c_Int_OBit0(all_1118_2) = all_1118_1 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.89 | all_1118_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.28/37.89 | all_1118_1) = all_1118_0 & $i(all_1118_0) & $i(all_1118_1) &
% 229.28/37.89 | $i(all_1118_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 |
% 229.28/37.89 | ~ (c_Power_Opower__class_Opower(v0, v1, all_1118_0) = v2) | ~
% 229.28/37.89 | (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ $i(v0) | ~
% 229.28/37.89 | class_Rings_Osemiring__1(v0))
% 229.28/37.89 |
% 229.28/37.89 | ALPHA: (619) implies:
% 229.28/37.89 | (620) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1118_1) =
% 229.28/37.89 | all_1118_0
% 229.28/37.89 | (621) c_Int_OBit1(c_Int_OPls) = all_1118_2
% 229.28/37.89 | (622) c_Int_OBit0(all_1118_2) = all_1118_1
% 229.28/37.89 |
% 229.28/37.89 | DELTA: instantiating (55) with fresh symbol all_1121_0 gives:
% 229.28/37.89 | (623) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1121_0 &
% 229.28/37.89 | $i(all_1121_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.28/37.89 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 229.28/37.89 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v0) = v3) | ~
% 229.28/37.89 | (hAPP(v3, v2) = v4) | ~ (hAPP(v3, v1) = v5) | ~ $i(v2) | ~
% 229.28/37.89 | $i(v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 229.28/37.89 | v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 229.28/37.89 | all_1121_0, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v4,
% 229.28/37.89 | v5))
% 229.28/37.89 |
% 229.28/37.89 | ALPHA: (623) implies:
% 229.28/37.89 | (624) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1121_0
% 229.28/37.89 |
% 229.28/37.89 | DELTA: instantiating (46) with fresh symbols all_1124_0, all_1124_1 gives:
% 229.28/37.89 | (625) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1124_0 &
% 229.28/37.89 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1124_1 &
% 229.28/37.89 | $i(all_1124_0) & $i(all_1124_1) & ! [v0: any] : (v0 = all_1124_0 |
% 229.28/37.89 | ~ (hAPP(c_Transcendental_Oln, v0) = all_1124_1) | ~ $i(v0) | ~
% 229.28/37.89 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1124_1, v0)) &
% 229.28/37.89 | ! [v0: int] : (v0 = all_1124_1 | ~ (hAPP(c_Transcendental_Oln,
% 229.28/37.89 | all_1124_0) = v0) | ~
% 229.28/37.89 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1124_1,
% 229.28/37.89 | all_1124_0))
% 229.28/37.89 |
% 229.28/37.89 | ALPHA: (625) implies:
% 229.28/37.89 | (626) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1124_1
% 229.28/37.89 | (627) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1124_0
% 229.28/37.89 |
% 229.28/37.89 | DELTA: instantiating (199) with fresh symbols all_1127_0, all_1127_1,
% 229.28/37.89 | all_1127_2, all_1127_3, all_1127_4 gives:
% 229.28/37.89 | (628) c_Int_OBit0(all_1127_3) = all_1127_2 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.89 | all_1127_3 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 229.28/37.89 | all_1127_2) = all_1127_1 &
% 229.28/37.89 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1127_4 &
% 229.28/37.89 | hAPP(c_NthRoot_Osqrt, all_1127_1) = all_1127_0 & $i(all_1127_0) &
% 229.28/37.89 | $i(all_1127_1) & $i(all_1127_2) & $i(all_1127_3) & $i(all_1127_4) &
% 229.28/37.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1127_4,
% 229.28/37.89 | all_1127_0)
% 229.28/37.89 |
% 229.28/37.89 | ALPHA: (628) implies:
% 229.28/37.89 | (629) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1127_4
% 229.28/37.89 | (630) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1127_2) =
% 229.28/37.89 | all_1127_1
% 229.28/37.89 | (631) c_Int_OBit1(c_Int_OPls) = all_1127_3
% 229.28/37.89 | (632) c_Int_OBit0(all_1127_3) = all_1127_2
% 229.28/37.89 |
% 229.28/37.89 | DELTA: instantiating (170) with fresh symbols all_1129_0, all_1129_1,
% 229.28/37.89 | all_1129_2, all_1129_3 gives:
% 229.28/37.89 | (633) c_Int_OBit0(all_1129_3) = all_1129_2 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.89 | all_1129_3 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.28/37.89 | all_1129_2) = all_1129_1 &
% 229.28/37.89 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat, all_1129_1) = all_1129_0 &
% 229.28/37.89 | $i(all_1129_0) & $i(all_1129_1) & $i(all_1129_2) & $i(all_1129_3) &
% 229.28/37.89 | ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(all_1129_0, v0) = v1) | ~
% 229.28/37.89 | $i(v0) | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v0) = v1 &
% 229.28/37.89 | $i(v1)))
% 229.28/37.89 |
% 229.28/37.89 | ALPHA: (633) implies:
% 229.28/37.89 | (634) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1129_2) =
% 229.28/37.89 | all_1129_1
% 229.28/37.89 | (635) c_Int_OBit1(c_Int_OPls) = all_1129_3
% 229.28/37.89 | (636) c_Int_OBit0(all_1129_3) = all_1129_2
% 229.28/37.89 |
% 229.28/37.89 | DELTA: instantiating (197) with fresh symbol all_1135_0 gives:
% 229.28/37.89 | (637) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1135_0 &
% 229.28/37.89 | $i(all_1135_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.28/37.89 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 229.28/37.89 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6) | ~
% 229.28/37.89 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1) = v2) | ~
% 229.28/37.89 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0) = v4) | ~
% 229.28/37.89 | (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v1) = v3) | ~ $i(v1) | ~
% 229.28/37.89 | $i(v0) | ? [v7: $i] : (hAPP(c_NthRoot_Osqrt, v6) = v7 & $i(v7) &
% 229.28/37.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1135_0,
% 229.28/37.89 | v7)))
% 229.28/37.89 |
% 229.28/37.89 | ALPHA: (637) implies:
% 229.28/37.89 | (638) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1135_0
% 229.28/37.89 |
% 229.28/37.89 | DELTA: instantiating (164) with fresh symbols all_1138_0, all_1138_1 gives:
% 229.28/37.89 | (639) c_Int_OBit0(all_1138_1) = all_1138_0 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.89 | all_1138_1 & $i(all_1138_0) & $i(all_1138_1) & ! [v0: $i] : ! [v1:
% 229.28/37.89 | $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 229.28/37.89 | (c_Int_Onumber__class_Onumber__of(v1, all_1138_0) = v3) | ~
% 229.28/37.89 | (c_Groups_Otimes__class_Otimes(v1, v0) = v2) | ~ (hAPP(v2, v3) =
% 229.28/37.89 | v4) | ~ $i(v1) | ~ $i(v0) | ~ class_Int_Onumber__ring(v1) |
% 229.28/37.89 | (c_Groups_Oplus__class_Oplus(v1, v0, v0) = v4 & $i(v4)))
% 229.28/37.89 |
% 229.28/37.89 | ALPHA: (639) implies:
% 229.28/37.89 | (640) c_Int_OBit1(c_Int_OPls) = all_1138_1
% 229.28/37.89 | (641) c_Int_OBit0(all_1138_1) = all_1138_0
% 229.28/37.89 |
% 229.28/37.89 | DELTA: instantiating (151) with fresh symbol all_1141_0 gives:
% 229.28/37.89 | (642) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1141_0 &
% 229.28/37.89 | $i(all_1141_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.28/37.89 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 229.28/37.89 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3) | ~
% 229.28/37.89 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1) = v5) | ~
% 229.28/37.89 | (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v0) = v4) | ~ $i(v2) | ~
% 229.28/37.89 | $i(v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 229.28/37.89 | v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 229.28/37.89 | all_1141_0, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4,
% 229.28/37.89 | v6))
% 229.28/37.89 |
% 229.28/37.89 | ALPHA: (642) implies:
% 229.28/37.89 | (643) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1141_0
% 229.28/37.89 |
% 229.28/37.89 | DELTA: instantiating (262) with fresh symbol all_1144_0 gives:
% 229.28/37.89 | (644) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1144_0 &
% 229.28/37.89 | $i(all_1144_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.28/37.89 | $i] : ( ~ (c_Power_Opower__class_Opower(v2, v1, v0) = v3) | ~
% 229.28/37.89 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 229.28/37.89 | class_Rings_Olinordered__semidom(v2) | ~
% 229.28/37.89 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1144_0, v0) | ?
% 229.28/37.89 | [v4: $i] : (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & ( ~
% 229.28/37.89 | c_Orderings_Oord__class_Oless(v2, v4, v1) |
% 229.28/37.89 | c_Orderings_Oord__class_Oless(v2, v4, v3))))
% 229.28/37.89 |
% 229.28/37.89 | ALPHA: (644) implies:
% 229.28/37.89 | (645) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1144_0
% 229.28/37.89 |
% 229.28/37.89 | DELTA: instantiating (94) with fresh symbol all_1147_0 gives:
% 229.28/37.89 | (646) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1147_0 &
% 229.28/37.89 | $i(all_1147_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.28/37.89 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 229.28/37.89 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, v0) = v5) | ~
% 229.28/37.89 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v2) = v3) | ~
% 229.28/37.89 | (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 229.28/37.89 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1147_0, v5) | ~
% 229.28/37.89 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | ~
% 229.28/37.89 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1147_0, v2) |
% 229.28/37.89 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1147_0, v1))
% 229.28/37.89 |
% 229.28/37.89 | ALPHA: (646) implies:
% 229.28/37.89 | (647) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1147_0
% 229.28/37.89 |
% 229.28/37.89 | DELTA: instantiating (269) with fresh symbol all_1150_0 gives:
% 229.28/37.89 | (648) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1150_0 &
% 229.28/37.89 | $i(all_1150_0) & ! [v0: $i] : ! [v1: any] : ! [v2: $i] : ! [v3:
% 229.28/37.89 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v1 = all_1150_0 |
% 229.28/37.89 | ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v3) | ~
% 229.28/37.89 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v5) | ~
% 229.28/37.89 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) = v4) | ~
% 229.28/37.89 | (hAPP(v4, v5) = v6) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 229.28/37.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v6) | ~
% 229.28/37.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 229.28/37.89 | all_1150_0))
% 229.28/37.89 |
% 229.28/37.89 | ALPHA: (648) implies:
% 229.28/37.89 | (649) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1150_0
% 229.28/37.89 |
% 229.28/37.89 | DELTA: instantiating (54) with fresh symbols all_1153_0, all_1153_1,
% 229.28/37.89 | all_1153_2 gives:
% 229.28/37.89 | (650) c_Transcendental_Oexp(tc_RealDef_Oreal) = all_1153_0 &
% 229.28/37.89 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1153_1 &
% 229.28/37.89 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1153_2 &
% 229.28/37.89 | $i(all_1153_0) & $i(all_1153_1) & $i(all_1153_2) & ! [v0: $i] : !
% 229.28/37.89 | [v1: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 229.28/37.89 | all_1153_1, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1153_2, v0)
% 229.28/37.89 | | ? [v2: $i] : (hAPP(all_1153_0, v0) = v2 & $i(v2) &
% 229.28/37.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v2)))
% 229.28/37.89 |
% 229.28/37.89 | ALPHA: (650) implies:
% 229.28/37.89 | (651) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1153_2
% 229.28/37.89 | (652) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1153_1
% 229.28/37.89 |
% 229.28/37.89 | DELTA: instantiating (241) with fresh symbols all_1156_0, all_1156_1,
% 229.28/37.89 | all_1156_2, all_1156_3 gives:
% 229.28/37.89 | (653) c_Int_OBit0(all_1156_2) = all_1156_1 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.89 | all_1156_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.28/37.89 | all_1156_1) = all_1156_0 &
% 229.28/37.89 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1156_3 &
% 229.28/37.89 | $i(all_1156_0) & $i(all_1156_1) & $i(all_1156_2) & $i(all_1156_3) &
% 229.28/37.89 | ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v0) = v1) | ~
% 229.28/37.89 | $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 229.28/37.89 | all_1156_3, v0) | c_Power_Opower__class_Opower(tc_RealDef_Oreal,
% 229.28/37.89 | v1, all_1156_0) = v0)
% 229.28/37.89 |
% 229.28/37.89 | ALPHA: (653) implies:
% 229.28/37.89 | (654) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1156_3
% 229.28/37.89 | (655) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1156_1) =
% 229.28/37.89 | all_1156_0
% 229.28/37.89 | (656) c_Int_OBit1(c_Int_OPls) = all_1156_2
% 229.28/37.89 | (657) c_Int_OBit0(all_1156_2) = all_1156_1
% 229.28/37.89 |
% 229.28/37.89 | DELTA: instantiating (169) with fresh symbols all_1159_0, all_1159_1,
% 229.28/37.89 | all_1159_2 gives:
% 229.28/37.89 | (658) c_Int_OBit0(all_1159_2) = all_1159_1 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.89 | all_1159_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.28/37.89 | all_1159_1) = all_1159_0 & $i(all_1159_0) & $i(all_1159_1) &
% 229.28/37.89 | $i(all_1159_2) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.89 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v0) = v1) | ~ $i(v0)
% 229.28/37.89 | | ? [v2: $i] : (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0) =
% 229.28/37.89 | v2 & hAPP(v2, all_1159_0) = v1 & $i(v2) & $i(v1)))
% 229.28/37.89 |
% 229.28/37.89 | ALPHA: (658) implies:
% 229.28/37.89 | (659) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1159_1) =
% 229.28/37.89 | all_1159_0
% 229.28/37.89 | (660) c_Int_OBit1(c_Int_OPls) = all_1159_2
% 229.28/37.90 | (661) c_Int_OBit0(all_1159_2) = all_1159_1
% 229.28/37.90 |
% 229.28/37.90 | DELTA: instantiating (165) with fresh symbols all_1162_0, all_1162_1 gives:
% 229.28/37.90 | (662) c_Int_OBit0(all_1162_1) = all_1162_0 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.90 | all_1162_1 & $i(all_1162_0) & $i(all_1162_1) & ! [v0: $i] : ! [v1:
% 229.28/37.90 | $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 229.28/37.90 | (c_Int_Onumber__class_Onumber__of(v1, all_1162_0) = v2) | ~
% 229.28/37.90 | (c_Groups_Otimes__class_Otimes(v1, v2) = v3) | ~ (hAPP(v3, v0) =
% 229.28/37.90 | v4) | ~ $i(v1) | ~ $i(v0) | ~ class_Int_Onumber__ring(v1) |
% 229.28/37.90 | (c_Groups_Oplus__class_Oplus(v1, v0, v0) = v4 & $i(v4)))
% 229.28/37.90 |
% 229.28/37.90 | ALPHA: (662) implies:
% 229.28/37.90 | (663) c_Int_OBit1(c_Int_OPls) = all_1162_1
% 229.28/37.90 | (664) c_Int_OBit0(all_1162_1) = all_1162_0
% 229.28/37.90 |
% 229.28/37.90 | DELTA: instantiating (138) with fresh symbol all_1165_0 gives:
% 229.28/37.90 | (665) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1165_0 &
% 229.28/37.90 | $i(all_1165_0) & ! [v0: $i] : ! [v1: any] : (v1 = all_1165_0 | ~
% 229.28/37.90 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_1165_0) |
% 229.28/37.90 | ~ $i(v1) | ~ $i(v0)) & ! [v0: any] : ! [v1: $i] : (v0 =
% 229.28/37.90 | all_1165_0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) =
% 229.28/37.90 | all_1165_0) | ~ $i(v1) | ~ $i(v0)) & ! [v0: int] : (v0 =
% 229.28/37.90 | all_1165_0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,
% 229.28/37.90 | all_1165_0, all_1165_0) = v0))
% 229.28/37.90 |
% 229.28/37.90 | ALPHA: (665) implies:
% 229.28/37.90 | (666) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1165_0
% 229.28/37.90 |
% 229.28/37.90 | DELTA: instantiating (95) with fresh symbol all_1168_0 gives:
% 229.28/37.90 | (667) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1168_0 &
% 229.28/37.90 | $i(all_1168_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.28/37.90 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 229.28/37.90 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, v0) = v5) | ~
% 229.28/37.90 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v2) = v3) | ~
% 229.28/37.90 | (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 229.28/37.90 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1168_0, v0) | ~
% 229.28/37.90 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v5, all_1168_0) | ~
% 229.28/37.90 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1168_0, v2) |
% 229.28/37.90 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, all_1168_0))
% 229.28/37.90 |
% 229.28/37.90 | ALPHA: (667) implies:
% 229.28/37.90 | (668) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1168_0
% 229.28/37.90 |
% 229.28/37.90 | DELTA: instantiating (64) with fresh symbol all_1174_0 gives:
% 229.28/37.90 | (669) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1174_0 &
% 229.28/37.90 | $i(all_1174_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 =
% 229.28/37.90 | all_1174_0 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1,
% 229.28/37.90 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ( ~ (v3 = v0)
% 229.28/37.90 | & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3 &
% 229.28/37.90 | $i(v3))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.90 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) =
% 229.28/37.90 | all_1174_0) | ~ $i(v1) | ~ $i(v0) |
% 229.28/37.90 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v0)
% 229.28/37.90 |
% 229.28/37.90 | ALPHA: (669) implies:
% 229.28/37.90 | (670) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1174_0
% 229.28/37.90 |
% 229.28/37.90 | DELTA: instantiating (159) with fresh symbols all_1177_0, all_1177_1 gives:
% 229.28/37.90 | (671) c_Int_OBit0(all_1177_1) = all_1177_0 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.90 | all_1177_1 & $i(all_1177_0) & $i(all_1177_1) & ! [v0: $i] : ! [v1:
% 229.28/37.90 | $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 229.28/37.90 | (c_Int_Onumber__class_Onumber__of(v0, all_1177_0) = v2) | ~
% 229.28/37.90 | (c_Groups_Oone__class_Oone(v0) = v1) | ~
% 229.28/37.90 | (c_Rings_Oinverse__class_Odivide(v0, v1, v2) = v3) | ~ $i(v0) | ~
% 229.28/37.90 | class_Int_Onumber__ring(v0) | ~
% 229.28/37.90 | class_Fields_Olinordered__field__inverse__zero(v0) | ? [v4: $i] :
% 229.28/37.90 | (c_Groups_Ozero__class_Ozero(v0) = v4 & $i(v4) &
% 229.28/37.90 | c_Orderings_Oord__class_Oless(v0, v4, v3)))
% 229.28/37.90 |
% 229.28/37.90 | ALPHA: (671) implies:
% 229.28/37.90 | (672) c_Int_OBit1(c_Int_OPls) = all_1177_1
% 229.28/37.90 | (673) c_Int_OBit0(all_1177_1) = all_1177_0
% 229.28/37.90 |
% 229.28/37.90 | DELTA: instantiating (217) with fresh symbols all_1180_0, all_1180_1,
% 229.28/37.90 | all_1180_2 gives:
% 229.28/37.90 | (674) c_Int_OBit0(all_1180_2) = all_1180_1 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.90 | all_1180_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.28/37.90 | all_1180_1) = all_1180_0 & $i(all_1180_0) & $i(all_1180_1) &
% 229.28/37.90 | $i(all_1180_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.28/37.90 | (c_Power_Opower__class_Opower(v1, v0, all_1180_0) = v2) | ~ $i(v1)
% 229.28/37.90 | | ~ $i(v0) | ~ class_Rings_Olinordered__idom(v1) | ? [v3: $i] :
% 229.28/37.90 | (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) &
% 229.28/37.90 | c_Orderings_Oord__class_Oless__eq(v1, v3, v2)))
% 229.28/37.90 |
% 229.28/37.90 | ALPHA: (674) implies:
% 229.28/37.90 | (675) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1180_1) =
% 229.28/37.90 | all_1180_0
% 229.28/37.90 | (676) c_Int_OBit1(c_Int_OPls) = all_1180_2
% 229.28/37.90 | (677) c_Int_OBit0(all_1180_2) = all_1180_1
% 229.28/37.90 |
% 229.28/37.90 | DELTA: instantiating (131) with fresh symbol all_1183_0 gives:
% 229.28/37.90 | (678) c_Int_OBit1(c_Int_OPls) = all_1183_0 & $i(all_1183_0) & ! [v0: $i] :
% 229.28/37.90 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 229.28/37.90 | (c_Int_Onumber__class_Onumber__of(v1, v2) = v3) | ~
% 229.28/37.90 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_1183_0) = v2) |
% 229.28/37.90 | ~ $i(v1) | ~ $i(v0) | ~ class_Int_Onumber__ring(v1) | ? [v4: $i]
% 229.28/37.90 | : ? [v5: $i] : (c_Int_Onumber__class_Onumber__of(v1, v0) = v4 &
% 229.28/37.90 | c_Groups_Oplus__class_Oplus(v1, v4, v5) = v3 &
% 229.28/37.90 | c_Groups_Oone__class_Oone(v1) = v5 & $i(v5) & $i(v4) & $i(v3)))
% 229.28/37.90 |
% 229.28/37.90 | ALPHA: (678) implies:
% 229.28/37.90 | (679) c_Int_OBit1(c_Int_OPls) = all_1183_0
% 229.28/37.90 |
% 229.28/37.90 | DELTA: instantiating (173) with fresh symbols all_1188_0, all_1188_1,
% 229.28/37.90 | all_1188_2 gives:
% 229.28/37.90 | (680) c_Int_OBit0(all_1188_2) = all_1188_1 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.90 | all_1188_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 229.28/37.90 | all_1188_1) = all_1188_0 & $i(all_1188_0) & $i(all_1188_1) &
% 229.28/37.90 | $i(all_1188_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.28/37.90 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 229.28/37.90 | $i(v1) | ~ $i(v0) | ~
% 229.28/37.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | ? [v3:
% 229.28/37.90 | $i] : (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2,
% 229.28/37.90 | all_1188_0) = v3 & $i(v3) &
% 229.28/37.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0)))
% 229.28/37.90 |
% 229.28/37.90 | ALPHA: (680) implies:
% 229.28/37.90 | (681) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1188_1) =
% 229.28/37.90 | all_1188_0
% 229.28/37.90 | (682) c_Int_OBit1(c_Int_OPls) = all_1188_2
% 229.28/37.90 | (683) c_Int_OBit0(all_1188_2) = all_1188_1
% 229.28/37.90 |
% 229.28/37.90 | DELTA: instantiating (172) with fresh symbols all_1191_0, all_1191_1,
% 229.28/37.90 | all_1191_2 gives:
% 229.28/37.90 | (684) c_Int_OBit0(all_1191_2) = all_1191_1 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.90 | all_1191_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 229.28/37.90 | all_1191_1) = all_1191_0 & $i(all_1191_0) & $i(all_1191_1) &
% 229.28/37.90 | $i(all_1191_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.28/37.90 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 229.28/37.90 | $i(v1) | ~ $i(v0) | ~
% 229.28/37.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | ? [v3:
% 229.28/37.90 | $i] : (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2,
% 229.28/37.90 | all_1191_0) = v3 & $i(v3) &
% 229.28/37.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v3)))
% 229.28/37.90 |
% 229.28/37.90 | ALPHA: (684) implies:
% 229.28/37.90 | (685) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1191_1) =
% 229.28/37.90 | all_1191_0
% 229.28/37.90 | (686) c_Int_OBit1(c_Int_OPls) = all_1191_2
% 229.28/37.90 | (687) c_Int_OBit0(all_1191_2) = all_1191_1
% 229.28/37.90 |
% 229.28/37.90 | DELTA: instantiating (132) with fresh symbol all_1194_0 gives:
% 229.28/37.90 | (688) c_Int_OBit1(c_Int_OPls) = all_1194_0 & $i(all_1194_0) & ! [v0: $i] :
% 229.28/37.90 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 229.28/37.90 | (c_Int_Onumber__class_Onumber__of(v1, v2) = v3) | ~
% 229.28/37.90 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_1194_0, v0) = v2) |
% 229.28/37.90 | ~ $i(v1) | ~ $i(v0) | ~ class_Int_Onumber__ring(v1) | ? [v4: $i]
% 229.28/37.90 | : ? [v5: $i] : (c_Int_Onumber__class_Onumber__of(v1, v0) = v5 &
% 229.28/37.90 | c_Groups_Oplus__class_Oplus(v1, v4, v5) = v3 &
% 229.28/37.90 | c_Groups_Oone__class_Oone(v1) = v4 & $i(v5) & $i(v4) & $i(v3)))
% 229.28/37.90 |
% 229.28/37.90 | ALPHA: (688) implies:
% 229.28/37.90 | (689) c_Int_OBit1(c_Int_OPls) = all_1194_0
% 229.28/37.90 |
% 229.28/37.90 | DELTA: instantiating (215) with fresh symbols all_1197_0, all_1197_1,
% 229.28/37.90 | all_1197_2 gives:
% 229.28/37.90 | (690) c_Int_OBit0(all_1197_2) = all_1197_1 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.90 | all_1197_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.28/37.90 | all_1197_1) = all_1197_0 & $i(all_1197_0) & $i(all_1197_1) &
% 229.28/37.90 | $i(all_1197_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.28/37.90 | $i] : ( ~ (c_Power_Opower__class_Opower(v1, v2, all_1197_0) = v3) |
% 229.28/37.90 | ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ $i(v1) | ~
% 229.28/37.90 | $i(v0) | ~ class_Rings_Oring__1(v1) |
% 229.28/37.90 | (c_Power_Opower__class_Opower(v1, v0, all_1197_0) = v3 & $i(v3)))
% 229.28/37.90 |
% 229.28/37.90 | ALPHA: (690) implies:
% 229.28/37.90 | (691) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1197_1) =
% 229.28/37.90 | all_1197_0
% 229.28/37.90 | (692) c_Int_OBit1(c_Int_OPls) = all_1197_2
% 229.28/37.90 | (693) c_Int_OBit0(all_1197_2) = all_1197_1
% 229.28/37.90 |
% 229.28/37.90 | DELTA: instantiating (92) with fresh symbols all_1200_0, all_1200_1 gives:
% 229.28/37.90 | (694) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1200_0 &
% 229.28/37.90 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1200_1 &
% 229.28/37.90 | $i(all_1200_0) & $i(all_1200_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 229.28/37.90 | $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 229.28/37.90 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v4) = v2) | ~
% 229.28/37.90 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v2) = v3) | ~
% 229.28/37.90 | (hAPP(v3, v0) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 229.28/37.90 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1200_1, v1) | ~
% 229.28/37.90 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1200_1, v2) |
% 229.28/37.90 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, all_1200_0))
% 229.28/37.90 |
% 229.28/37.90 | ALPHA: (694) implies:
% 229.28/37.90 | (695) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1200_1
% 229.28/37.90 |
% 229.28/37.90 | DELTA: instantiating (221) with fresh symbols all_1203_0, all_1203_1,
% 229.28/37.90 | all_1203_2 gives:
% 229.28/37.90 | (696) c_Int_OBit0(all_1203_2) = all_1203_1 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.90 | all_1203_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.28/37.90 | all_1203_1) = all_1203_0 & $i(all_1203_0) & $i(all_1203_1) &
% 229.28/37.90 | $i(all_1203_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.28/37.90 | (c_Power_Opower__class_Opower(v1, v0, all_1203_0) = v2) | ~ $i(v1)
% 229.28/37.90 | | ~ $i(v0) | ~ class_Rings_Olinordered__idom(v1) | ? [v3: $i] :
% 229.28/37.90 | (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ~
% 229.28/37.90 | c_Orderings_Oord__class_Oless(v1, v2, v3)))
% 229.28/37.90 |
% 229.28/37.90 | ALPHA: (696) implies:
% 229.28/37.90 | (697) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1203_1) =
% 229.28/37.90 | all_1203_0
% 229.28/37.90 | (698) c_Int_OBit1(c_Int_OPls) = all_1203_2
% 229.28/37.90 | (699) c_Int_OBit0(all_1203_2) = all_1203_1
% 229.28/37.90 |
% 229.28/37.90 | DELTA: instantiating (93) with fresh symbols all_1206_0, all_1206_1 gives:
% 229.28/37.90 | (700) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1206_0 &
% 229.28/37.90 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1206_1 &
% 229.28/37.90 | $i(all_1206_0) & $i(all_1206_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 229.28/37.90 | $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 229.28/37.90 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v4) = v2) | ~
% 229.28/37.90 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v2) = v3) | ~
% 229.28/37.90 | (hAPP(v3, v0) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 229.28/37.90 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) | ~
% 229.28/37.90 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1206_1, v2) |
% 229.28/37.90 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1206_0, v0))
% 229.28/37.90 |
% 229.28/37.90 | ALPHA: (700) implies:
% 229.28/37.90 | (701) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1206_1
% 229.28/37.90 |
% 229.28/37.90 | DELTA: instantiating (230) with fresh symbols all_1209_0, all_1209_1,
% 229.28/37.90 | all_1209_2 gives:
% 229.28/37.90 | (702) c_Int_OBit0(all_1209_2) = all_1209_1 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.90 | all_1209_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.28/37.90 | all_1209_1) = all_1209_0 & $i(all_1209_0) & $i(all_1209_1) &
% 229.28/37.90 | $i(all_1209_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.28/37.90 | $i] : ( ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1,
% 229.28/37.90 | all_1209_0) = v2) | ~
% 229.28/37.90 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0, all_1209_0) =
% 229.28/37.90 | v3) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] :
% 229.28/37.90 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v4 &
% 229.28/37.90 | $i(v4) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4,
% 229.28/37.90 | v3)))
% 229.28/37.90 |
% 229.28/37.90 | ALPHA: (702) implies:
% 229.28/37.90 | (703) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1209_1) =
% 229.28/37.90 | all_1209_0
% 229.28/37.90 | (704) c_Int_OBit1(c_Int_OPls) = all_1209_2
% 229.28/37.90 | (705) c_Int_OBit0(all_1209_2) = all_1209_1
% 229.28/37.90 |
% 229.28/37.90 | DELTA: instantiating (244) with fresh symbols all_1212_0, all_1212_1,
% 229.28/37.90 | all_1212_2 gives:
% 229.28/37.90 | (706) c_Int_OBit0(all_1212_2) = all_1212_1 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.90 | all_1212_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.28/37.90 | all_1212_1) = all_1212_0 & $i(all_1212_0) & $i(all_1212_1) &
% 229.28/37.90 | $i(all_1212_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.28/37.90 | $i] : ! [v4: $i] : ( ~
% 229.28/37.90 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1, all_1212_0) =
% 229.28/37.90 | v2) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0,
% 229.28/37.90 | all_1212_0) = v3) | ~
% 229.28/37.90 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) = v4) | ~
% 229.28/37.90 | $i(v1) | ~ $i(v0) | ? [v5: $i] : (hAPP(c_NthRoot_Osqrt, v4) = v5
% 229.28/37.90 | & $i(v5) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 229.28/37.90 | v1, v5)))
% 229.28/37.90 |
% 229.28/37.90 | ALPHA: (706) implies:
% 229.28/37.90 | (707) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1212_1) =
% 229.28/37.90 | all_1212_0
% 229.28/37.90 | (708) c_Int_OBit1(c_Int_OPls) = all_1212_2
% 229.28/37.90 | (709) c_Int_OBit0(all_1212_2) = all_1212_1
% 229.28/37.90 |
% 229.28/37.90 | DELTA: instantiating (78) with fresh symbols all_1215_0, all_1215_1,
% 229.28/37.90 | all_1215_2 gives:
% 229.28/37.90 | (710) c_Transcendental_Oexp(tc_RealDef_Oreal) = all_1215_2 &
% 229.28/37.90 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1215_1 &
% 229.28/37.90 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1215_0 &
% 229.28/37.90 | $i(all_1215_0) & $i(all_1215_1) & $i(all_1215_2) & ! [v0: $i] : !
% 229.28/37.90 | [v1: $i] : ( ~ (hAPP(all_1215_2, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1215_1) |
% 229.28/37.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1215_0)) &
% 229.28/37.90 | ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(all_1215_2, v0) = v1) | ~
% 229.28/37.90 | $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 229.28/37.90 | all_1215_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 229.28/37.90 | all_1215_1))
% 229.28/37.90 |
% 229.28/37.90 | ALPHA: (710) implies:
% 229.28/37.90 | (711) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1215_0
% 229.28/37.90 | (712) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1215_1
% 229.28/37.90 |
% 229.28/37.90 | DELTA: instantiating (45) with fresh symbols all_1218_0, all_1218_1 gives:
% 229.28/37.90 | (713) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1218_0 &
% 229.28/37.90 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1218_1 &
% 229.28/37.90 | $i(all_1218_0) & $i(all_1218_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.90 | (hAPP(c_Transcendental_Oln, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1218_1) |
% 229.28/37.90 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1218_1, v0) |
% 229.28/37.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1218_0)) &
% 229.28/37.90 | ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(c_Transcendental_Oln, v0) = v1)
% 229.28/37.90 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.28/37.90 | v0, all_1218_0) | ~
% 229.28/37.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1218_1, v0) |
% 229.28/37.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1218_1))
% 229.28/37.90 |
% 229.28/37.90 | ALPHA: (713) implies:
% 229.28/37.90 | (714) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1218_1
% 229.28/37.90 | (715) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1218_0
% 229.28/37.90 |
% 229.28/37.90 | DELTA: instantiating (47) with fresh symbols all_1221_0, all_1221_1 gives:
% 229.28/37.90 | (716) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1221_0 &
% 229.28/37.90 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1221_1 &
% 229.28/37.90 | $i(all_1221_0) & $i(all_1221_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.90 | (hAPP(c_Transcendental_Oln, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1221_0, v0) |
% 229.28/37.90 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1221_1, v0) |
% 229.28/37.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1221_1, v1)) &
% 229.28/37.90 | ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(c_Transcendental_Oln, v0) = v1)
% 229.28/37.90 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.28/37.90 | all_1221_1, v1) | ~
% 229.28/37.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1221_1, v0) |
% 229.28/37.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1221_0, v0))
% 229.28/37.90 |
% 229.28/37.90 | ALPHA: (716) implies:
% 229.28/37.90 | (717) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1221_1
% 229.28/37.90 | (718) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1221_0
% 229.28/37.90 |
% 229.28/37.90 | DELTA: instantiating (76) with fresh symbols all_1224_0, all_1224_1,
% 229.28/37.90 | all_1224_2 gives:
% 229.28/37.90 | (719) c_Transcendental_Oexp(tc_RealDef_Oreal) = all_1224_1 &
% 229.28/37.90 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1224_2 &
% 229.28/37.90 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1224_0 &
% 229.28/37.90 | $i(all_1224_0) & $i(all_1224_1) & $i(all_1224_2) & ! [v0: $i] : !
% 229.28/37.91 | [v1: $i] : ( ~ (hAPP(all_1224_1, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.91 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1224_0, v0)
% 229.28/37.91 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1224_2,
% 229.28/37.91 | v1)) & ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(all_1224_1, v0) =
% 229.28/37.91 | v1) | ~ $i(v0) | ~
% 229.28/37.91 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1224_2, v1)
% 229.28/37.91 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1224_0,
% 229.28/37.91 | v0))
% 229.28/37.91 |
% 229.28/37.91 | ALPHA: (719) implies:
% 229.28/37.91 | (720) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1224_0
% 229.28/37.91 | (721) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1224_2
% 229.28/37.91 |
% 229.28/37.91 | DELTA: instantiating (79) with fresh symbols all_1227_0, all_1227_1,
% 229.28/37.91 | all_1227_2 gives:
% 229.28/37.91 | (722) c_Transcendental_Oexp(tc_RealDef_Oreal) = all_1227_1 &
% 229.28/37.91 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1227_2 &
% 229.28/37.91 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1227_0 &
% 229.28/37.91 | $i(all_1227_0) & $i(all_1227_1) & $i(all_1227_2) & ! [v0: $i] : !
% 229.28/37.91 | [v1: $i] : ( ~ (hAPP(all_1227_1, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.91 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1227_0, v0) |
% 229.28/37.91 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1227_2, v1)) &
% 229.28/37.91 | ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(all_1227_1, v0) = v1) | ~
% 229.28/37.91 | $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.28/37.91 | all_1227_2, v1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.28/37.91 | all_1227_0, v0))
% 229.28/37.91 |
% 229.28/37.91 | ALPHA: (722) implies:
% 229.28/37.91 | (723) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1227_0
% 229.28/37.91 | (724) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1227_2
% 229.28/37.91 |
% 229.28/37.91 | DELTA: instantiating (81) with fresh symbols all_1233_0, all_1233_1 gives:
% 229.28/37.91 | (725) c_Transcendental_Oexp(tc_RealDef_Oreal) = all_1233_1 &
% 229.28/37.91 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1233_0 &
% 229.28/37.91 | $i(all_1233_0) & $i(all_1233_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.91 | (hAPP(c_Transcendental_Oln, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.91 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1233_0, v0) |
% 229.28/37.91 | hAPP(all_1233_1, v1) = v0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.91 | (hAPP(c_Transcendental_Oln, v0) = v1) | ~ $i(v0) |
% 229.28/37.91 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1233_0, v0) |
% 229.28/37.91 | ? [v2: $i] : ( ~ (v2 = v0) & hAPP(all_1233_1, v1) = v2 & $i(v2)))
% 229.28/37.91 |
% 229.28/37.91 | ALPHA: (725) implies:
% 229.28/37.91 | (726) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1233_0
% 229.28/37.91 |
% 229.28/37.91 | DELTA: instantiating (61) with fresh symbols all_1236_0, all_1236_1 gives:
% 229.28/37.91 | (727) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1236_1 &
% 229.28/37.91 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1236_0 &
% 229.28/37.91 | $i(all_1236_0) & $i(all_1236_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 229.28/37.91 | $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) |
% 229.28/37.91 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_1236_1, v0) = v1)
% 229.28/37.91 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2,
% 229.28/37.91 | all_1236_0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0,
% 229.28/37.91 | all_1236_0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.28/37.91 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~
% 229.28/37.91 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_1236_1, v0) = v1) |
% 229.28/37.91 | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0,
% 229.28/37.91 | all_1236_0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2,
% 229.28/37.91 | all_1236_0))
% 229.28/37.91 |
% 229.28/37.91 | ALPHA: (727) implies:
% 229.28/37.91 | (728) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1236_0
% 229.28/37.91 |
% 229.28/37.91 | DELTA: instantiating (50) with fresh symbols all_1242_0, all_1242_1 gives:
% 229.28/37.91 | (729) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1242_0 &
% 229.28/37.91 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1242_1 &
% 229.28/37.91 | $i(all_1242_0) & $i(all_1242_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.91 | (hAPP(c_Transcendental_Oln, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.91 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1242_0, v0)
% 229.28/37.91 | | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1242_1,
% 229.28/37.91 | v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 229.28/37.91 | all_1242_1, v1)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.91 | (hAPP(c_Transcendental_Oln, v0) = v1) | ~ $i(v0) | ~
% 229.28/37.91 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1242_1, v1)
% 229.28/37.91 | | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1242_1,
% 229.28/37.91 | v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 229.28/37.91 | all_1242_0, v0))
% 229.28/37.91 |
% 229.28/37.91 | ALPHA: (729) implies:
% 229.28/37.91 | (730) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1242_1
% 229.28/37.91 | (731) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1242_0
% 229.28/37.91 |
% 229.28/37.91 | DELTA: instantiating (245) with fresh symbols all_1245_0, all_1245_1,
% 229.28/37.91 | all_1245_2 gives:
% 229.28/37.91 | (732) c_Int_OBit0(all_1245_2) = all_1245_1 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.91 | all_1245_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.28/37.91 | all_1245_1) = all_1245_0 & $i(all_1245_0) & $i(all_1245_1) &
% 229.28/37.91 | $i(all_1245_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.28/37.91 | $i] : ! [v4: $i] : ( ~
% 229.28/37.91 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1, all_1245_0) =
% 229.28/37.91 | v3) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0,
% 229.28/37.91 | all_1245_0) = v2) | ~
% 229.28/37.91 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) = v4) | ~
% 229.28/37.91 | $i(v1) | ~ $i(v0) | ? [v5: $i] : (hAPP(c_NthRoot_Osqrt, v4) = v5
% 229.28/37.91 | & $i(v5) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 229.28/37.91 | v1, v5)))
% 229.28/37.91 |
% 229.28/37.91 | ALPHA: (732) implies:
% 229.28/37.91 | (733) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1245_1) =
% 229.28/37.91 | all_1245_0
% 229.28/37.91 | (734) c_Int_OBit1(c_Int_OPls) = all_1245_2
% 229.28/37.91 | (735) c_Int_OBit0(all_1245_2) = all_1245_1
% 229.28/37.91 |
% 229.28/37.91 | DELTA: instantiating (240) with fresh symbols all_1254_0, all_1254_1,
% 229.28/37.91 | all_1254_2, all_1254_3 gives:
% 229.28/37.91 | (736) c_Int_OBit0(all_1254_3) = all_1254_2 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.91 | all_1254_3 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.28/37.91 | all_1254_2) = all_1254_1 &
% 229.28/37.91 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1254_0 &
% 229.28/37.91 | $i(all_1254_0) & $i(all_1254_1) & $i(all_1254_2) & $i(all_1254_3) &
% 229.28/37.91 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 229.28/37.91 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1, all_1254_1) =
% 229.28/37.91 | v0) | ~ (hAPP(c_NthRoot_Osqrt, v0) = v2) | ~ $i(v1) | ~ $i(v0)
% 229.28/37.91 | | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 229.28/37.91 | all_1254_0, v1))
% 229.28/37.91 |
% 229.28/37.91 | ALPHA: (736) implies:
% 229.28/37.91 | (737) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1254_0
% 229.28/37.91 | (738) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1254_2) =
% 229.28/37.91 | all_1254_1
% 229.28/37.91 | (739) c_Int_OBit1(c_Int_OPls) = all_1254_3
% 229.28/37.91 | (740) c_Int_OBit0(all_1254_3) = all_1254_2
% 229.28/37.91 |
% 229.28/37.91 | DELTA: instantiating (212) with fresh symbols all_1257_0, all_1257_1,
% 229.28/37.91 | all_1257_2 gives:
% 229.28/37.91 | (741) c_Int_OBit0(all_1257_2) = all_1257_1 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.91 | all_1257_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.28/37.91 | all_1257_1) = all_1257_0 & $i(all_1257_0) & $i(all_1257_1) &
% 229.28/37.91 | $i(all_1257_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.28/37.91 | (c_Power_Opower__class_Opower(v1, v0, all_1257_0) = v2) | ~ $i(v1)
% 229.28/37.91 | | ~ $i(v0) | ~ class_Rings_Ocomm__semiring__1(v1) | ? [v3: $i] :
% 229.28/37.91 | (c_Groups_Otimes__class_Otimes(v1, v0) = v3 & hAPP(v3, v0) = v2 &
% 229.28/37.91 | $i(v3) & $i(v2)))
% 229.28/37.91 |
% 229.28/37.91 | ALPHA: (741) implies:
% 229.28/37.91 | (742) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1257_1) =
% 229.28/37.91 | all_1257_0
% 229.28/37.91 | (743) c_Int_OBit1(c_Int_OPls) = all_1257_2
% 229.28/37.91 | (744) c_Int_OBit0(all_1257_2) = all_1257_1
% 229.28/37.91 |
% 229.28/37.91 | DELTA: instantiating (174) with fresh symbols all_1260_0, all_1260_1 gives:
% 229.28/37.91 | (745) c_Int_OBit0(all_1260_1) = all_1260_0 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.91 | all_1260_1 & $i(all_1260_0) & $i(all_1260_1) & ! [v0: $i] : ! [v1:
% 229.28/37.91 | $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 229.28/37.91 | (c_Int_Onumber__class_Onumber__of(v1, all_1260_0) = v2) | ~
% 229.28/37.91 | (c_Rings_Oinverse__class_Odivide(v1, v0, v2) = v3) | ~ $i(v1) | ~
% 229.28/37.91 | $i(v0) | ~ class_Int_Onumber__ring(v1) | ~
% 229.28/37.91 | class_Fields_Olinordered__field__inverse__zero(v1) | ? [v4: $i] :
% 229.28/37.91 | (c_Groups_Ozero__class_Ozero(v1) = v4 & $i(v4) & ( ~
% 229.28/37.91 | c_Orderings_Oord__class_Oless(v1, v4, v0) |
% 229.28/37.91 | c_Orderings_Oord__class_Oless(v1, v4, v3))))
% 229.28/37.91 |
% 229.28/37.91 | ALPHA: (745) implies:
% 229.28/37.91 | (746) c_Int_OBit1(c_Int_OPls) = all_1260_1
% 229.28/37.91 | (747) c_Int_OBit0(all_1260_1) = all_1260_0
% 229.28/37.91 |
% 229.28/37.91 | DELTA: instantiating (202) with fresh symbols all_1263_0, all_1263_1,
% 229.28/37.91 | all_1263_2, all_1263_3, all_1263_4 gives:
% 229.28/37.91 | (748) c_Int_OBit0(all_1263_3) = all_1263_2 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.91 | all_1263_3 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 229.28/37.91 | all_1263_2) = all_1263_1 &
% 229.28/37.91 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1263_4 &
% 229.28/37.91 | hAPP(c_NthRoot_Osqrt, all_1263_1) = all_1263_0 & $i(all_1263_0) &
% 229.28/37.91 | $i(all_1263_1) & $i(all_1263_2) & $i(all_1263_3) & $i(all_1263_4) &
% 229.28/37.91 | ! [v0: $i] : ! [v1: $i] : ( ~
% 229.28/37.91 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, all_1263_0)
% 229.28/37.91 | = v1) | ~ $i(v0) | ~
% 229.28/37.91 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1263_4, v0) |
% 229.28/37.91 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0))
% 229.28/37.91 |
% 229.28/37.91 | ALPHA: (748) implies:
% 229.28/37.91 | (749) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1263_4
% 229.28/37.91 | (750) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1263_2) =
% 229.28/37.91 | all_1263_1
% 229.28/37.91 | (751) c_Int_OBit1(c_Int_OPls) = all_1263_3
% 229.28/37.91 | (752) c_Int_OBit0(all_1263_3) = all_1263_2
% 229.28/37.91 |
% 229.28/37.91 | DELTA: instantiating (213) with fresh symbols all_1266_0, all_1266_1,
% 229.28/37.91 | all_1266_2 gives:
% 229.28/37.91 | (753) c_Int_OBit0(all_1266_2) = all_1266_1 & c_Int_OBit1(c_Int_OPls) =
% 229.28/37.91 | all_1266_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.28/37.91 | all_1266_1) = all_1266_0 & $i(all_1266_0) & $i(all_1266_1) &
% 229.28/37.91 | $i(all_1266_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.28/37.91 | (c_Power_Opower__class_Opower(v1, v0, all_1266_0) = v2) | ~ $i(v1)
% 229.28/37.91 | | ~ $i(v0) | ~ class_Groups_Omonoid__mult(v1) | ? [v3: $i] :
% 229.28/37.91 | (c_Groups_Otimes__class_Otimes(v1, v0) = v3 & hAPP(v3, v0) = v2 &
% 229.28/37.91 | $i(v3) & $i(v2)))
% 229.28/37.91 |
% 229.28/37.91 | ALPHA: (753) implies:
% 229.28/37.91 | (754) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1266_1) =
% 229.28/37.91 | all_1266_0
% 229.28/37.91 | (755) c_Int_OBit1(c_Int_OPls) = all_1266_2
% 229.28/37.91 | (756) c_Int_OBit0(all_1266_2) = all_1266_1
% 229.28/37.91 |
% 229.28/37.91 | DELTA: instantiating (243) with fresh symbols all_1269_0, all_1269_1,
% 229.28/37.91 | all_1269_2, all_1269_3 gives:
% 229.76/37.93 | (757) c_Int_OBit0(all_1269_2) = all_1269_1 & c_Int_OBit1(c_Int_OPls) =
% 229.76/37.93 | all_1269_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/37.93 | all_1269_1) = all_1269_0 &
% 229.76/37.93 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1269_3 &
% 229.76/37.93 | $i(all_1269_0) & $i(all_1269_1) & $i(all_1269_2) & $i(all_1269_3) &
% 229.76/37.93 | ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v0) = v1) | ~
% 229.76/37.93 | $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.76/37.93 | all_1269_3, v0) | ? [v2: $i] :
% 229.76/37.93 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1, all_1269_0) =
% 229.76/37.93 | v2 & $i(v2) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.76/37.93 | all_1269_3, v2)))
% 229.76/37.93 |
% 229.76/37.93 | ALPHA: (757) implies:
% 229.76/37.93 | (758) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1269_3
% 229.76/37.93 | (759) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1269_1) =
% 229.76/37.93 | all_1269_0
% 229.76/37.93 | (760) c_Int_OBit1(c_Int_OPls) = all_1269_2
% 229.76/37.93 | (761) c_Int_OBit0(all_1269_2) = all_1269_1
% 229.76/37.93 |
% 229.76/37.93 | DELTA: instantiating (75) with fresh symbols all_1272_0, all_1272_1,
% 229.76/37.93 | all_1272_2 gives:
% 229.76/37.93 | (762) c_Transcendental_Oexp(tc_RealDef_Oreal) = all_1272_2 &
% 229.76/37.93 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1272_1 &
% 229.76/37.94 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1272_0 &
% 229.76/37.94 | $i(all_1272_0) & $i(all_1272_1) & $i(all_1272_2) & ! [v0: $i] : !
% 229.76/37.94 | [v1: $i] : ( ~ (hAPP(all_1272_2, v0) = v1) | ~ $i(v0) | ~
% 229.76/37.94 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, all_1272_1)
% 229.76/37.94 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 229.76/37.94 | all_1272_0)) & ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(all_1272_2,
% 229.76/37.94 | v0) = v1) | ~ $i(v0) | ~
% 229.76/37.94 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, all_1272_0)
% 229.76/37.94 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 229.76/37.94 | all_1272_1))
% 229.76/37.94 |
% 229.76/37.94 | ALPHA: (762) implies:
% 229.76/37.94 | (763) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1272_0
% 229.76/37.94 | (764) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1272_1
% 229.76/37.94 |
% 229.76/37.94 | DELTA: instantiating (128) with fresh symbol all_1275_0 gives:
% 229.76/37.94 | (765) c_Int_OBit1(c_Int_OPls) = all_1275_0 & $i(all_1275_0) & ! [v0: $i] :
% 229.76/37.94 | ! [v1: $i] : ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v1,
% 229.76/37.94 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/37.94 | class_Int_Onumber__ring(v1) | ~ class_Rings_Olinordered__idom(v1)
% 229.76/37.94 | | ? [v3: $i] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 229.76/37.94 | v0, all_1275_0) | (c_Groups_Oone__class_Oone(v1) = v3 &
% 229.76/37.94 | $i(v3) & c_Orderings_Oord__class_Oless__eq(v1, v2, v3))) &
% 229.76/37.94 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, all_1275_0) |
% 229.76/37.94 | (c_Groups_Oone__class_Oone(v1) = v3 & $i(v3) & ~
% 229.76/37.94 | c_Orderings_Oord__class_Oless__eq(v1, v2, v3)))))
% 229.76/37.94 |
% 229.76/37.94 | ALPHA: (765) implies:
% 229.76/37.94 | (766) c_Int_OBit1(c_Int_OPls) = all_1275_0
% 229.76/37.94 |
% 229.76/37.94 | DELTA: instantiating (176) with fresh symbols all_1281_0, all_1281_1,
% 229.76/37.94 | all_1281_2, all_1281_3, all_1281_4 gives:
% 229.76/37.94 | (767) c_Int_OBit0(all_1281_3) = all_1281_2 & c_Int_OBit1(c_Int_OPls) =
% 229.76/37.94 | all_1281_3 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint,
% 229.76/37.94 | all_1281_2) = all_1281_1 & c_Groups_Oone__class_Oone(tc_Int_Oint) =
% 229.76/37.94 | all_1281_0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1281_4 &
% 229.76/37.94 | $i(all_1281_0) & $i(all_1281_1) & $i(all_1281_2) & $i(all_1281_3) &
% 229.76/37.94 | $i(all_1281_4) & ! [v0: any] : (v0 = all_1281_0 | v0 = all_1281_4 |
% 229.76/37.94 | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 229.76/37.94 | all_1281_4, v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 229.76/37.94 | v0, all_1281_1))
% 229.76/37.94 |
% 229.76/37.94 | ALPHA: (767) implies:
% 229.76/37.94 | (768) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1281_4
% 229.76/37.94 | (769) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_1281_2) =
% 229.76/37.94 | all_1281_1
% 229.76/37.94 | (770) c_Int_OBit1(c_Int_OPls) = all_1281_3
% 229.76/37.94 | (771) c_Int_OBit0(all_1281_3) = all_1281_2
% 229.76/37.94 |
% 229.76/37.94 | DELTA: instantiating (130) with fresh symbol all_1284_0 gives:
% 229.76/37.94 | (772) c_Int_OBit1(c_Int_OPls) = all_1284_0 & $i(all_1284_0) & ! [v0: $i] :
% 229.76/37.94 | ! [v1: $i] : ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v1,
% 229.76/37.94 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/37.94 | class_Int_Onumber__ring(v1) | ~ class_Rings_Olinordered__idom(v1)
% 229.76/37.94 | | ? [v3: $i] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0,
% 229.76/37.94 | all_1284_0) | (c_Groups_Oone__class_Oone(v1) = v3 & $i(v3) &
% 229.76/37.94 | c_Orderings_Oord__class_Oless(v1, v2, v3))) &
% 229.76/37.94 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_1284_0) |
% 229.76/37.94 | (c_Groups_Oone__class_Oone(v1) = v3 & $i(v3) & ~
% 229.76/37.94 | c_Orderings_Oord__class_Oless(v1, v2, v3)))))
% 229.76/37.94 |
% 229.76/37.94 | ALPHA: (772) implies:
% 229.76/37.94 | (773) c_Int_OBit1(c_Int_OPls) = all_1284_0
% 229.76/37.94 |
% 229.76/37.94 | DELTA: instantiating (261) with fresh symbol all_1287_0 gives:
% 229.76/37.94 | (774) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1287_0 &
% 229.76/37.94 | $i(all_1287_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/37.94 | $i] : ! [v4: $i] : (v2 = v0 | ~ (c_Power_Opower__class_Opower(v3,
% 229.76/37.94 | v2, v1) = v4) | ~ (c_Power_Opower__class_Opower(v3, v0, v1) =
% 229.76/37.94 | v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/37.94 | class_Rings_Olinordered__semidom(v3) | ~
% 229.76/37.94 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1287_0, v1) | ?
% 229.76/37.94 | [v5: $i] : (c_Groups_Ozero__class_Ozero(v3) = v5 & $i(v5) & ( ~
% 229.76/37.94 | c_Orderings_Oord__class_Oless__eq(v3, v5, v2) | ~
% 229.76/37.94 | c_Orderings_Oord__class_Oless__eq(v3, v5, v0))))
% 229.76/37.94 |
% 229.76/37.94 | ALPHA: (774) implies:
% 229.76/37.94 | (775) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1287_0
% 229.76/37.94 |
% 229.76/37.94 | DELTA: instantiating (129) with fresh symbol all_1293_0 gives:
% 229.76/37.94 | (776) c_Int_OBit1(c_Int_OPls) = all_1293_0 & $i(all_1293_0) & ! [v0: $i] :
% 229.76/37.94 | ! [v1: $i] : ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v1,
% 229.76/37.94 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/37.94 | class_Int_Onumber__ring(v1) | ~ class_Rings_Olinordered__idom(v1)
% 229.76/37.94 | | ? [v3: $i] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 229.76/37.94 | all_1293_0, v0) | (c_Groups_Oone__class_Oone(v1) = v3 &
% 229.76/37.94 | $i(v3) & c_Orderings_Oord__class_Oless(v1, v3, v2))) &
% 229.76/37.94 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1293_0, v0) |
% 229.76/37.94 | (c_Groups_Oone__class_Oone(v1) = v3 & $i(v3) & ~
% 229.76/37.94 | c_Orderings_Oord__class_Oless(v1, v3, v2)))))
% 229.76/37.94 |
% 229.76/37.94 | ALPHA: (776) implies:
% 229.76/37.94 | (777) c_Int_OBit1(c_Int_OPls) = all_1293_0
% 229.76/37.94 |
% 229.76/37.94 | DELTA: instantiating (36) with fresh symbol all_1296_0 gives:
% 229.76/37.94 | (778) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1296_0 &
% 229.76/37.94 | $i(all_1296_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/37.94 | $i] : ! [v4: $i] : ( ~
% 229.76/37.94 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) = v4) | ~
% 229.76/37.94 | (hAPP(c_Transcendental_Oln, v1) = v2) | ~
% 229.76/37.94 | (hAPP(c_Transcendental_Oln, v0) = v3) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/37.94 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1296_0, v1) |
% 229.76/37.94 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1296_0, v0) |
% 229.76/37.94 | ? [v5: $i] : ? [v6: $i] :
% 229.76/37.94 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1) = v5 &
% 229.76/37.94 | hAPP(v5, v0) = v6 & hAPP(c_Transcendental_Oln, v6) = v4 & $i(v6)
% 229.76/37.94 | & $i(v5) & $i(v4)))
% 229.76/37.94 |
% 229.76/37.94 | ALPHA: (778) implies:
% 229.76/37.94 | (779) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1296_0
% 229.76/37.94 |
% 229.76/37.94 | DELTA: instantiating (253) with fresh symbol all_1299_0 gives:
% 229.76/37.94 | (780) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1299_0 &
% 229.76/37.94 | $i(all_1299_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/37.94 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 229.76/37.94 | (c_Power_Opower__class_Opower(v3, v2, v0) = v4) | ~
% 229.76/37.94 | (c_Power_Opower__class_Opower(v3, v1, v0) = v5) | ~ $i(v3) | ~
% 229.76/37.94 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/37.94 | class_Rings_Olinordered__semidom(v3) | ~
% 229.76/37.94 | c_Orderings_Oord__class_Oless(v3, v2, v1) | ~
% 229.76/37.94 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1299_0, v0) |
% 229.76/37.94 | c_Orderings_Oord__class_Oless(v3, v4, v5) | ? [v6: $i] :
% 229.76/37.94 | (c_Groups_Ozero__class_Ozero(v3) = v6 & $i(v6) & ~
% 229.76/37.94 | c_Orderings_Oord__class_Oless__eq(v3, v6, v2)))
% 229.76/37.94 |
% 229.76/37.94 | ALPHA: (780) implies:
% 229.76/37.94 | (781) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1299_0
% 229.76/37.94 |
% 229.76/37.94 | DELTA: instantiating (266) with fresh symbols all_1302_0, all_1302_1,
% 229.76/37.94 | all_1302_2, all_1302_3 gives:
% 229.76/37.94 | (782) c_Int_OBit0(all_1302_2) = all_1302_1 & c_Int_OBit1(c_Int_OPls) =
% 229.76/37.94 | all_1302_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/37.94 | all_1302_1) = all_1302_0 &
% 229.76/37.94 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1302_3 &
% 229.76/37.94 | $i(all_1302_0) & $i(all_1302_1) & $i(all_1302_2) & $i(all_1302_3) &
% 229.76/37.94 | ! [v0: $i] : ! [v1: $i] : ( ~
% 229.76/37.94 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0, all_1302_0) =
% 229.76/37.94 | v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] :
% 229.76/37.94 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v2) = v3 &
% 229.76/37.94 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1302_3, v1) =
% 229.76/37.94 | v2 & $i(v3) & $i(v2) & c_Deriv_Oderiv(tc_RealDef_Oreal,
% 229.76/37.94 | c_Transcendental_Oarctan, v0, v3)))
% 229.76/37.94 |
% 229.76/37.94 | ALPHA: (782) implies:
% 229.76/37.94 | (783) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1302_3
% 229.76/37.94 | (784) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1302_1) =
% 229.76/37.94 | all_1302_0
% 229.76/37.94 | (785) c_Int_OBit1(c_Int_OPls) = all_1302_2
% 229.76/37.94 | (786) c_Int_OBit0(all_1302_2) = all_1302_1
% 229.76/37.94 |
% 229.76/37.94 | DELTA: instantiating (162) with fresh symbol all_1305_0 gives:
% 229.76/37.94 | (787) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1305_0 &
% 229.76/37.94 | $i(all_1305_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.76/37.94 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v1) | ~
% 229.76/37.94 | $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 229.76/37.94 | all_1305_0, v1) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ?
% 229.76/37.94 | [v5: $i] : (c_Int_OBit0(v0) = v2 & c_Int_OBit1(v0) = v4 &
% 229.76/37.94 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v4) = v5 &
% 229.76/37.94 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 & $i(v5) &
% 229.76/37.94 | $i(v4) & $i(v3) & $i(v2) &
% 229.76/37.94 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1305_0, v5) &
% 229.76/37.94 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1305_0, v3)))
% 229.76/37.94 |
% 229.76/37.94 | ALPHA: (787) implies:
% 229.76/37.94 | (788) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1305_0
% 229.76/37.94 |
% 229.76/37.94 | DELTA: instantiating (127) with fresh symbol all_1308_0 gives:
% 229.76/37.94 | (789) c_Int_OBit1(c_Int_OPls) = all_1308_0 & $i(all_1308_0) & ! [v0: $i] :
% 229.76/37.94 | ! [v1: $i] : ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v1,
% 229.76/37.94 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/37.94 | class_Int_Onumber__ring(v1) | ~ class_Rings_Olinordered__idom(v1)
% 229.76/37.94 | | ? [v3: $i] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 229.76/37.94 | all_1308_0, v0) | (c_Groups_Oone__class_Oone(v1) = v3 &
% 229.76/37.94 | $i(v3) & c_Orderings_Oord__class_Oless__eq(v1, v3, v2))) &
% 229.76/37.94 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1308_0, v0) |
% 229.76/37.94 | (c_Groups_Oone__class_Oone(v1) = v3 & $i(v3) & ~
% 229.76/37.94 | c_Orderings_Oord__class_Oless__eq(v1, v3, v2)))))
% 229.76/37.94 |
% 229.76/37.94 | ALPHA: (789) implies:
% 229.76/37.94 | (790) c_Int_OBit1(c_Int_OPls) = all_1308_0
% 229.76/37.94 |
% 229.76/37.94 | DELTA: instantiating (203) with fresh symbols all_1311_0, all_1311_1,
% 229.76/37.94 | all_1311_2, all_1311_3 gives:
% 229.76/37.95 | (791) c_Int_OBit0(all_1311_2) = all_1311_1 & c_Int_OBit1(c_Int_OPls) =
% 229.76/37.95 | all_1311_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 229.76/37.95 | all_1311_1) = all_1311_0 &
% 229.76/37.95 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1311_3 &
% 229.76/37.95 | $i(all_1311_0) & $i(all_1311_1) & $i(all_1311_2) & $i(all_1311_3) &
% 229.76/37.95 | ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v0) = v1) | ~
% 229.76/37.95 | $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.76/37.95 | all_1311_3, v0) | ? [v2: $i] : ? [v3: $i] :
% 229.76/37.95 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v1) = v2 &
% 229.76/37.95 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, all_1311_0)
% 229.76/37.95 | = v3 & $i(v3) & $i(v2) & c_Deriv_Oderiv(tc_RealDef_Oreal,
% 229.76/37.95 | c_NthRoot_Osqrt, v0, v3)))
% 229.76/37.95 |
% 229.76/37.95 | ALPHA: (791) implies:
% 229.76/37.95 | (792) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1311_3
% 229.76/37.95 | (793) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1311_1) =
% 229.76/37.95 | all_1311_0
% 229.76/37.95 | (794) c_Int_OBit1(c_Int_OPls) = all_1311_2
% 229.76/37.95 | (795) c_Int_OBit0(all_1311_2) = all_1311_1
% 229.76/37.95 |
% 229.76/37.95 | DELTA: instantiating (223) with fresh symbols all_1314_0, all_1314_1,
% 229.76/37.95 | all_1314_2 gives:
% 229.76/37.95 | (796) c_Int_OBit0(all_1314_2) = all_1314_1 & c_Int_OBit1(c_Int_OPls) =
% 229.76/37.95 | all_1314_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/37.95 | all_1314_1) = all_1314_0 & $i(all_1314_0) & $i(all_1314_1) &
% 229.76/37.95 | $i(all_1314_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/37.95 | $i] : ( ~ (c_Power_Opower__class_Opower(v1, v2, all_1314_0) = v3) |
% 229.76/37.95 | ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ $i(v1) | ~
% 229.76/37.95 | $i(v0) | ~ class_Int_Onumber(v1) | ~
% 229.76/37.95 | class_Groups_Omonoid__mult(v1) | ? [v4: $i] :
% 229.76/37.95 | (c_Groups_Otimes__class_Otimes(v1, v2) = v4 & hAPP(v4, v2) = v3 &
% 229.76/37.95 | $i(v4) & $i(v3)))
% 229.76/37.95 |
% 229.76/37.95 | ALPHA: (796) implies:
% 229.76/37.95 | (797) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1314_1) =
% 229.76/37.95 | all_1314_0
% 229.76/37.95 | (798) c_Int_OBit1(c_Int_OPls) = all_1314_2
% 229.76/37.95 | (799) c_Int_OBit0(all_1314_2) = all_1314_1
% 229.76/37.95 |
% 229.76/37.95 | DELTA: instantiating (101) with fresh symbol all_1317_0 gives:
% 229.76/37.95 | (800) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1317_0 &
% 229.76/37.95 | $i(all_1317_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/37.95 | $i] : ( ~ (hAPP(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 229.76/37.95 | ~ c_Deriv_Oderiv(tc_RealDef_Oreal, v2, v1, v0) | ~
% 229.76/37.95 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1317_0) |
% 229.76/37.95 | ? [v4: $i] : ($i(v4) &
% 229.76/37.95 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1317_0, v4) &
% 229.76/37.95 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 229.76/37.95 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v5) = v6) |
% 229.76/37.95 | ~ (hAPP(v2, v6) = v7) | ~ $i(v5) | ~
% 229.76/37.95 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v4) | ~
% 229.76/37.95 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1317_0, v5)
% 229.76/37.95 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v3))))
% 229.76/37.95 |
% 229.76/37.95 | ALPHA: (800) implies:
% 229.76/37.95 | (801) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1317_0
% 229.76/37.95 |
% 229.76/37.95 | DELTA: instantiating (232) with fresh symbols all_1320_0, all_1320_1,
% 229.76/37.95 | all_1320_2 gives:
% 229.76/37.95 | (802) c_Int_OBit0(all_1320_2) = all_1320_1 & c_Int_OBit1(c_Int_OPls) =
% 229.76/37.95 | all_1320_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/37.95 | all_1320_1) = all_1320_0 & $i(all_1320_0) & $i(all_1320_1) &
% 229.76/37.95 | $i(all_1320_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/37.95 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 229.76/37.95 | (c_Power_Opower__class_Opower(v2, v1, all_1320_0) = v3) | ~
% 229.76/37.95 | (c_Power_Opower__class_Opower(v2, v0, all_1320_0) = v4) | ~
% 229.76/37.95 | (c_Groups_Oplus__class_Oplus(v2, v3, v4) = v5) | ~ $i(v2) | ~
% 229.76/37.95 | $i(v1) | ~ $i(v0) | ~ class_Rings_Olinordered__idom(v2) | ? [v6:
% 229.76/37.95 | $i] : (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) &
% 229.76/37.95 | c_Orderings_Oord__class_Oless__eq(v2, v6, v5)))
% 229.76/37.95 |
% 229.76/37.95 | ALPHA: (802) implies:
% 229.76/37.95 | (803) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1320_1) =
% 229.76/37.95 | all_1320_0
% 229.76/37.95 | (804) c_Int_OBit1(c_Int_OPls) = all_1320_2
% 229.76/37.95 | (805) c_Int_OBit0(all_1320_2) = all_1320_1
% 229.76/37.95 |
% 229.76/37.95 | DELTA: instantiating (239) with fresh symbols all_1323_0, all_1323_1,
% 229.76/37.95 | all_1323_2, all_1323_3 gives:
% 229.76/37.95 | (806) c_Int_OBit0(all_1323_3) = all_1323_2 & c_Int_OBit1(c_Int_OPls) =
% 229.76/37.95 | all_1323_3 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/37.95 | all_1323_2) = all_1323_1 &
% 229.76/37.95 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat, all_1323_1) = all_1323_0 &
% 229.76/37.95 | $i(all_1323_0) & $i(all_1323_1) & $i(all_1323_2) & $i(all_1323_3) &
% 229.76/37.95 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 229.76/37.95 | ! [v5: $i] : (v5 = v2 | ~ (c_Power_Opower__class_Opower(v1, v3, v4)
% 229.76/37.95 | = v5) | ~ (c_Groups_Ouminus__class_Ouminus(v1, v2) = v3) | ~
% 229.76/37.95 | (c_Groups_Oone__class_Oone(v1) = v2) | ~ (hAPP(all_1323_0, v0) =
% 229.76/37.95 | v4) | ~ $i(v1) | ~ $i(v0) | ~ class_Rings_Oring__1(v1))
% 229.76/37.95 |
% 229.76/37.95 | ALPHA: (806) implies:
% 229.76/37.95 | (807) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1323_2) =
% 229.76/37.95 | all_1323_1
% 229.76/37.95 | (808) c_Int_OBit1(c_Int_OPls) = all_1323_3
% 229.76/37.95 | (809) c_Int_OBit0(all_1323_3) = all_1323_2
% 229.76/37.95 |
% 229.76/37.95 | DELTA: instantiating (234) with fresh symbols all_1326_0, all_1326_1,
% 229.76/37.95 | all_1326_2 gives:
% 229.76/37.95 | (810) c_Int_OBit0(all_1326_2) = all_1326_1 & c_Int_OBit1(c_Int_OPls) =
% 229.76/37.95 | all_1326_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/37.95 | all_1326_1) = all_1326_0 & $i(all_1326_0) & $i(all_1326_1) &
% 229.76/37.95 | $i(all_1326_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/37.95 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 229.76/37.95 | (c_Power_Opower__class_Opower(v2, v1, all_1326_0) = v3) | ~
% 229.76/37.95 | (c_Power_Opower__class_Opower(v2, v0, all_1326_0) = v4) | ~
% 229.76/37.95 | (c_Groups_Oplus__class_Oplus(v2, v3, v4) = v5) | ~ $i(v2) | ~
% 229.76/37.95 | $i(v1) | ~ $i(v0) | ~ class_Rings_Olinordered__idom(v2) | ? [v6:
% 229.76/37.95 | $i] : (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ~
% 229.76/37.95 | c_Orderings_Oord__class_Oless(v2, v5, v6)))
% 229.76/37.95 |
% 229.76/37.95 | ALPHA: (810) implies:
% 229.76/37.95 | (811) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1326_1) =
% 229.76/37.95 | all_1326_0
% 229.76/37.95 | (812) c_Int_OBit1(c_Int_OPls) = all_1326_2
% 229.76/37.95 | (813) c_Int_OBit0(all_1326_2) = all_1326_1
% 229.76/37.95 |
% 229.76/37.95 | DELTA: instantiating (158) with fresh symbol all_1329_0 gives:
% 229.76/37.95 | (814) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1329_0 &
% 229.76/37.95 | $i(all_1329_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/37.95 | $i] : ! [v4: $i] : (v4 = v3 | ~
% 229.76/37.95 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, all_1329_0) = v2) | ~
% 229.76/37.95 | (hAPP(v2, v1) = v3) | ~ (hAPP(v2, v0) = v4) | ~ $i(v1) | ~
% 229.76/37.95 | $i(v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ! [v3: $i] :
% 229.76/37.95 | ! [v4: $i] : (v2 = all_1329_0 | v1 = v0 | ~
% 229.76/37.95 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3) | ~
% 229.76/37.95 | (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v4) | ~ $i(v2) | ~
% 229.76/37.95 | $i(v1) | ~ $i(v0))
% 229.76/37.95 |
% 229.76/37.95 | ALPHA: (814) implies:
% 229.76/37.95 | (815) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1329_0
% 229.76/37.95 |
% 229.76/37.95 | DELTA: instantiating (72) with fresh symbol all_1332_0 gives:
% 229.76/37.95 | (816) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1332_0 &
% 229.76/37.95 | $i(all_1332_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.76/37.95 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 229.76/37.95 | $i(v1) | ~ $i(v0) | ~
% 229.76/37.95 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1332_0, v2)
% 229.76/37.95 | | ? [v3: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 229.76/37.95 | v1) = v3 & $i(v3) &
% 229.76/37.95 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0))) &
% 229.76/37.95 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.76/37.95 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 229.76/37.95 | $i(v1) | ~ $i(v0) |
% 229.76/37.95 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1332_0, v2)
% 229.76/37.95 | | ? [v3: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 229.76/37.95 | v1) = v3 & $i(v3) & ~
% 229.76/37.95 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0)))
% 229.76/37.95 |
% 229.76/37.95 | ALPHA: (816) implies:
% 229.76/37.95 | (817) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1332_0
% 229.76/37.95 |
% 229.76/37.95 | DELTA: instantiating (211) with fresh symbols all_1335_0, all_1335_1,
% 229.76/37.95 | all_1335_2 gives:
% 229.76/37.95 | (818) c_Int_OBit0(all_1335_2) = all_1335_1 & c_Int_OBit1(c_Int_OPls) =
% 229.76/37.95 | all_1335_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/37.95 | all_1335_1) = all_1335_0 & $i(all_1335_0) & $i(all_1335_1) &
% 229.76/37.95 | $i(all_1335_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.76/37.95 | (c_Power_Opower__class_Opower(v1, v0, all_1335_0) = v2) | ~ $i(v1)
% 229.76/37.95 | | ~ $i(v0) | ~ class_Rings_Oring__1__no__zero__divisors(v1) | ?
% 229.76/37.95 | [v3: $i] : (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~ (v3
% 229.76/37.95 | = v2) | v2 = v0) & ( ~ (v3 = v0) | v2 = v0)))
% 229.76/37.95 |
% 229.76/37.95 | ALPHA: (818) implies:
% 229.76/37.95 | (819) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1335_1) =
% 229.76/37.95 | all_1335_0
% 229.76/37.95 | (820) c_Int_OBit1(c_Int_OPls) = all_1335_2
% 229.76/37.95 | (821) c_Int_OBit0(all_1335_2) = all_1335_1
% 229.76/37.95 |
% 229.76/37.95 | DELTA: instantiating (250) with fresh symbols all_1338_0, all_1338_1,
% 229.76/37.95 | all_1338_2, all_1338_3 gives:
% 229.76/37.95 | (822) c_Int_OBit0(all_1338_2) = all_1338_1 & c_Int_OBit1(c_Int_OPls) =
% 229.76/37.95 | all_1338_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/37.95 | all_1338_1) = all_1338_0 &
% 229.76/37.95 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1338_3 &
% 229.76/37.95 | $i(all_1338_0) & $i(all_1338_1) & $i(all_1338_2) & $i(all_1338_3) &
% 229.76/37.95 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 229.76/37.95 | ( ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1, all_1338_0) =
% 229.76/37.95 | v2) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0,
% 229.76/37.95 | all_1338_0) = v3) | ~
% 229.76/37.95 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) = v4) | ~
% 229.76/37.95 | $i(v1) | ~ $i(v0) | ? [v5: $i] : (hAPP(c_NthRoot_Osqrt, v4) = v5
% 229.76/37.95 | & $i(v5) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 229.76/37.95 | all_1338_3, v5)))
% 229.76/37.95 |
% 229.76/37.95 | ALPHA: (822) implies:
% 229.76/37.95 | (823) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1338_3
% 229.76/37.95 | (824) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1338_1) =
% 229.76/37.95 | all_1338_0
% 229.76/37.95 | (825) c_Int_OBit1(c_Int_OPls) = all_1338_2
% 229.76/37.96 | (826) c_Int_OBit0(all_1338_2) = all_1338_1
% 229.76/37.96 |
% 229.76/37.96 | DELTA: instantiating (71) with fresh symbol all_1341_0 gives:
% 229.76/37.96 | (827) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1341_0 &
% 229.76/37.96 | $i(all_1341_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.76/37.96 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 229.76/37.96 | $i(v1) | ~ $i(v0) | ~
% 229.76/37.96 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, all_1341_0)
% 229.76/37.96 | | ? [v3: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 229.76/37.96 | v1) = v3 & $i(v3) &
% 229.76/37.96 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3))) &
% 229.76/37.96 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.76/37.96 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 229.76/37.96 | $i(v1) | ~ $i(v0) |
% 229.76/37.96 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, all_1341_0)
% 229.76/37.96 | | ? [v3: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 229.76/37.96 | v1) = v3 & $i(v3) & ~
% 229.76/37.96 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)))
% 229.76/37.96 |
% 229.76/37.96 | ALPHA: (827) implies:
% 229.76/37.96 | (828) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1341_0
% 229.76/37.96 |
% 229.76/37.96 | DELTA: instantiating (73) with fresh symbol all_1344_0 gives:
% 229.76/37.96 | (829) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1344_0 &
% 229.76/37.96 | $i(all_1344_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.76/37.96 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 229.76/37.96 | $i(v1) | ~ $i(v0) | ~
% 229.76/37.96 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, all_1344_0) |
% 229.76/37.96 | ? [v3: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1)
% 229.76/37.96 | = v3 & $i(v3) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.76/37.96 | v0, v3))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.76/37.96 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 229.76/37.96 | $i(v1) | ~ $i(v0) |
% 229.76/37.96 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, all_1344_0) |
% 229.76/37.96 | ? [v3: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1)
% 229.76/37.96 | = v3 & $i(v3) & ~
% 229.76/37.96 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)))
% 229.76/37.96 |
% 229.76/37.96 | ALPHA: (829) implies:
% 229.76/37.96 | (830) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1344_0
% 229.76/37.96 |
% 229.76/37.96 | DELTA: instantiating (220) with fresh symbols all_1347_0, all_1347_1,
% 229.76/37.96 | all_1347_2 gives:
% 229.76/37.96 | (831) c_Int_OBit0(all_1347_2) = all_1347_1 & c_Int_OBit1(c_Int_OPls) =
% 229.76/37.96 | all_1347_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/37.96 | all_1347_1) = all_1347_0 & $i(all_1347_0) & $i(all_1347_1) &
% 229.76/37.96 | $i(all_1347_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.76/37.96 | (c_Power_Opower__class_Opower(v1, v0, all_1347_0) = v2) | ~ $i(v1)
% 229.76/37.96 | | ~ $i(v0) | ~ class_Rings_Olinordered__idom(v1) | ? [v3: $i] :
% 229.76/37.96 | (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~ (v3 = v0) | ~
% 229.76/37.96 | c_Orderings_Oord__class_Oless(v1, v0, v2)) & (v3 = v0 |
% 229.76/37.96 | c_Orderings_Oord__class_Oless(v1, v3, v2))))
% 229.76/37.96 |
% 229.76/37.96 | ALPHA: (831) implies:
% 229.76/37.96 | (832) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1347_1) =
% 229.76/37.96 | all_1347_0
% 229.76/37.96 | (833) c_Int_OBit1(c_Int_OPls) = all_1347_2
% 229.76/37.96 | (834) c_Int_OBit0(all_1347_2) = all_1347_1
% 229.76/37.96 |
% 229.76/37.96 | DELTA: instantiating (74) with fresh symbol all_1352_0 gives:
% 229.76/37.96 | (835) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1352_0 &
% 229.76/37.96 | $i(all_1352_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.76/37.96 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 229.76/37.96 | $i(v1) | ~ $i(v0) | ~
% 229.76/37.96 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1352_0, v2) |
% 229.76/37.96 | ? [v3: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1)
% 229.76/37.96 | = v3 & $i(v3) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.76/37.96 | v3, v0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.76/37.96 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 229.76/37.96 | $i(v1) | ~ $i(v0) |
% 229.76/37.96 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1352_0, v2) |
% 229.76/37.96 | ? [v3: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1)
% 229.76/37.96 | = v3 & $i(v3) & ~
% 229.76/37.96 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0)))
% 229.76/37.96 |
% 229.76/37.96 | ALPHA: (835) implies:
% 229.76/37.96 | (836) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1352_0
% 229.76/37.96 |
% 229.76/37.96 | DELTA: instantiating (158) with fresh symbol all_1355_0 gives:
% 229.76/37.96 | (837) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1355_0 &
% 229.76/37.96 | $i(all_1355_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/37.96 | $i] : ! [v4: $i] : (v4 = v3 | ~
% 229.76/37.96 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, all_1355_0) = v2) | ~
% 229.76/37.96 | (hAPP(v2, v1) = v3) | ~ (hAPP(v2, v0) = v4) | ~ $i(v1) | ~
% 229.76/37.96 | $i(v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ! [v3: $i] :
% 229.76/37.96 | ! [v4: $i] : (v2 = all_1355_0 | v1 = v0 | ~
% 229.76/37.96 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3) | ~
% 229.76/37.96 | (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v4) | ~ $i(v2) | ~
% 229.76/37.96 | $i(v1) | ~ $i(v0))
% 229.76/37.96 |
% 229.76/37.96 | ALPHA: (837) implies:
% 229.76/37.96 | (838) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1355_0
% 229.76/37.96 |
% 229.76/37.96 | DELTA: instantiating (175) with fresh symbols all_1358_0, all_1358_1 gives:
% 229.76/37.96 | (839) c_Int_OBit0(all_1358_1) = all_1358_0 & c_Int_OBit1(c_Int_OPls) =
% 229.76/37.96 | all_1358_1 & $i(all_1358_0) & $i(all_1358_1) & ! [v0: $i] : ! [v1:
% 229.76/37.96 | $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 229.76/37.96 | (c_Int_Onumber__class_Onumber__of(v1, all_1358_0) = v2) | ~
% 229.76/37.96 | (c_Rings_Oinverse__class_Odivide(v1, v0, v2) = v3) | ~ $i(v1) | ~
% 229.76/37.96 | $i(v0) | ~ class_Int_Onumber__ring(v1) | ~
% 229.76/37.96 | class_Fields_Olinordered__field__inverse__zero(v1) | ? [v4: $i] :
% 229.76/37.96 | (c_Groups_Ozero__class_Ozero(v1) = v4 & $i(v4) & ( ~
% 229.76/37.96 | c_Orderings_Oord__class_Oless(v1, v4, v3) |
% 229.76/37.96 | c_Orderings_Oord__class_Oless(v1, v4, v0)) & ( ~
% 229.76/37.96 | c_Orderings_Oord__class_Oless(v1, v4, v0) |
% 229.76/37.96 | c_Orderings_Oord__class_Oless(v1, v4, v3))))
% 229.76/37.96 |
% 229.76/37.96 | ALPHA: (839) implies:
% 229.76/37.96 | (840) c_Int_OBit1(c_Int_OPls) = all_1358_1
% 229.76/37.96 | (841) c_Int_OBit0(all_1358_1) = all_1358_0
% 229.76/37.96 |
% 229.76/37.96 | DELTA: instantiating (251) with fresh symbols all_1364_0, all_1364_1,
% 229.76/37.96 | all_1364_2, all_1364_3 gives:
% 229.76/37.96 | (842) c_Int_OBit0(all_1364_2) = all_1364_1 & c_Int_OBit1(c_Int_OPls) =
% 229.76/37.96 | all_1364_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/37.96 | all_1364_1) = all_1364_0 &
% 229.76/37.96 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1364_3 &
% 229.76/37.96 | $i(all_1364_0) & $i(all_1364_1) & $i(all_1364_2) & $i(all_1364_3) &
% 229.76/37.96 | ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v0) = v1) | ~
% 229.76/37.96 | $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.76/37.96 | all_1364_3, v0) | ? [v2: $i] : ? [v3: $i] :
% 229.76/37.96 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v2, all_1364_0) =
% 229.76/37.96 | v3 & c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v1) = v2
% 229.76/37.96 | & c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v0) = v3 &
% 229.76/37.96 | $i(v3) & $i(v2)))
% 229.76/37.96 |
% 229.76/37.96 | ALPHA: (842) implies:
% 229.76/37.96 | (843) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1364_3
% 229.76/37.96 | (844) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1364_1) =
% 229.76/37.96 | all_1364_0
% 229.76/37.96 | (845) c_Int_OBit1(c_Int_OPls) = all_1364_2
% 229.76/37.96 | (846) c_Int_OBit0(all_1364_2) = all_1364_1
% 229.76/37.96 |
% 229.76/37.96 | DELTA: instantiating (256) with fresh symbol all_1367_0 gives:
% 229.76/37.96 | (847) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1367_0 &
% 229.76/37.96 | $i(all_1367_0) & ! [v0: any] : ! [v1: $i] : ! [v2: $i] : (v0 =
% 229.76/37.96 | all_1367_0 | ~ (c_Power_Opower__class_Opower(tc_Nat_Onat, v1, v0)
% 229.76/37.96 | = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/37.96 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1367_0, v2) |
% 229.76/37.96 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1367_0, v1)) & !
% 229.76/37.96 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.76/37.96 | (c_Power_Opower__class_Opower(tc_Nat_Onat, v1, v0) = v2) | ~
% 229.76/37.96 | $i(v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 229.76/37.96 | all_1367_0, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 229.76/37.96 | all_1367_0, v2)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.76/37.96 | (c_Power_Opower__class_Opower(tc_Nat_Onat, v0, all_1367_0) = v1) |
% 229.76/37.96 | ~ $i(v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1367_0,
% 229.76/37.96 | v1))
% 229.76/37.96 |
% 229.76/37.96 | ALPHA: (847) implies:
% 229.76/37.96 | (848) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1367_0
% 229.76/37.96 |
% 229.76/37.96 | DELTA: instantiating (256) with fresh symbol all_1370_0 gives:
% 229.76/37.96 | (849) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1370_0 &
% 229.76/37.96 | $i(all_1370_0) & ! [v0: any] : ! [v1: $i] : ! [v2: $i] : (v0 =
% 229.76/37.96 | all_1370_0 | ~ (c_Power_Opower__class_Opower(tc_Nat_Onat, v1, v0)
% 229.76/37.96 | = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/37.96 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1370_0, v2) |
% 229.76/37.96 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1370_0, v1)) & !
% 229.76/37.96 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.76/37.96 | (c_Power_Opower__class_Opower(tc_Nat_Onat, v1, v0) = v2) | ~
% 229.76/37.96 | $i(v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 229.76/37.96 | all_1370_0, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 229.76/37.96 | all_1370_0, v2)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.76/37.96 | (c_Power_Opower__class_Opower(tc_Nat_Onat, v0, all_1370_0) = v1) |
% 229.76/37.96 | ~ $i(v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1370_0,
% 229.76/37.96 | v1))
% 229.76/37.96 |
% 229.76/37.96 | ALPHA: (849) implies:
% 229.76/37.96 | (850) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1370_0
% 229.76/37.96 |
% 229.76/37.96 | DELTA: instantiating (144) with fresh symbol all_1373_0 gives:
% 229.76/37.97 | (851) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1373_0 &
% 229.76/37.97 | $i(all_1373_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 =
% 229.76/37.97 | all_1373_0 | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0) =
% 229.76/37.97 | v1) | ~ (hAPP(v1, all_1373_0) = v2) | ~ $i(v0)) & ! [v0: $i] :
% 229.76/37.97 | ! [v1: $i] : ! [v2: int] : (v2 = all_1373_0 | ~
% 229.76/37.97 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, all_1373_0) = v1) | ~
% 229.76/37.97 | (hAPP(v1, v0) = v2) | ~ $i(v0)) & ! [v0: any] : ! [v1: any] : !
% 229.76/37.97 | [v2: $i] : (v1 = all_1373_0 | v0 = all_1373_0 | ~
% 229.76/37.97 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1) = v2) | ~
% 229.76/37.97 | (hAPP(v2, v0) = all_1373_0) | ~ $i(v1) | ~ $i(v0))
% 229.76/37.97 |
% 229.76/37.97 | ALPHA: (851) implies:
% 229.76/37.97 | (852) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1373_0
% 229.76/37.97 |
% 229.76/37.97 | DELTA: instantiating (100) with fresh symbol all_1376_0 gives:
% 229.76/37.97 | (853) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1376_0 &
% 229.76/37.97 | $i(all_1376_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/37.97 | $i] : ( ~ (hAPP(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 229.76/37.97 | ~ c_Deriv_Oderiv(tc_RealDef_Oreal, v2, v1, v0) | ~
% 229.76/37.97 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1376_0, v0) |
% 229.76/37.97 | ? [v4: $i] : ($i(v4) &
% 229.76/37.97 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1376_0, v4) &
% 229.76/37.97 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 229.76/37.97 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v5) = v6) |
% 229.76/37.97 | ~ (hAPP(v2, v6) = v7) | ~ $i(v5) | ~
% 229.76/37.97 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v4) | ~
% 229.76/37.97 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1376_0, v5)
% 229.76/37.97 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v7))))
% 229.76/37.97 |
% 229.76/37.97 | ALPHA: (853) implies:
% 229.76/37.97 | (854) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1376_0
% 229.76/37.97 |
% 229.76/37.97 | DELTA: instantiating (86) with fresh symbol all_1379_0 gives:
% 229.76/37.97 | (855) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1379_0 &
% 229.76/37.97 | $i(all_1379_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/37.97 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 229.76/37.97 | [v8: $i] : ! [v9: $i] : ( ~
% 229.76/37.97 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v8, v0) = v9) | ~
% 229.76/37.97 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v6, v2) = v7) | ~
% 229.76/37.97 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v4) = v5) | ~
% 229.76/37.97 | (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v1) = v8) | ~ $i(v4) | ~
% 229.76/37.97 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/37.97 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v7, v9) | ~
% 229.76/37.97 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1379_0, v2) | ~
% 229.76/37.97 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v4) | ~
% 229.76/37.97 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v4) |
% 229.76/37.97 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v1))
% 229.76/37.97 |
% 229.76/37.97 | ALPHA: (855) implies:
% 229.76/37.97 | (856) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1379_0
% 229.76/37.97 |
% 229.76/37.97 | DELTA: instantiating (219) with fresh symbols all_1382_0, all_1382_1,
% 229.76/37.97 | all_1382_2 gives:
% 229.76/37.97 | (857) c_Int_OBit0(all_1382_2) = all_1382_1 & c_Int_OBit1(c_Int_OPls) =
% 229.76/37.97 | all_1382_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/37.97 | all_1382_1) = all_1382_0 & $i(all_1382_0) & $i(all_1382_1) &
% 229.76/37.97 | $i(all_1382_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/37.97 | $i] : (v1 = v0 | ~ (c_Power_Opower__class_Opower(v2, v1,
% 229.76/37.97 | all_1382_0) = v3) | ~ (c_Power_Opower__class_Opower(v2, v0,
% 229.76/37.97 | all_1382_0) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/37.97 | class_Rings_Olinordered__semidom(v2) | ? [v4: $i] :
% 229.76/37.97 | (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 229.76/37.97 | c_Orderings_Oord__class_Oless__eq(v2, v4, v1) | ~
% 229.76/37.97 | c_Orderings_Oord__class_Oless__eq(v2, v4, v0))))
% 229.76/37.97 |
% 229.76/37.97 | ALPHA: (857) implies:
% 229.76/37.97 | (858) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1382_1) =
% 229.76/37.97 | all_1382_0
% 229.76/37.97 | (859) c_Int_OBit1(c_Int_OPls) = all_1382_2
% 229.76/37.97 | (860) c_Int_OBit0(all_1382_2) = all_1382_1
% 229.76/37.97 |
% 229.76/37.97 | DELTA: instantiating (84) with fresh symbol all_1385_0 gives:
% 229.76/37.97 | (861) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1385_0 &
% 229.76/37.97 | $i(all_1385_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/37.97 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 229.76/37.97 | [v8: $i] : ! [v9: $i] : ( ~
% 229.76/37.97 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v8, v0) = v9) | ~
% 229.76/37.97 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v6, v2) = v7) | ~
% 229.76/37.97 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v4) = v5) | ~
% 229.76/37.97 | (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v1) = v8) | ~ $i(v4) | ~
% 229.76/37.97 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/37.97 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v7, v9) | ~
% 229.76/37.97 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, all_1385_0) | ~
% 229.76/37.97 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v2) | ~
% 229.76/37.97 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v0) |
% 229.76/37.97 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v3))
% 229.76/37.97 |
% 229.76/37.97 | ALPHA: (861) implies:
% 229.76/37.97 | (862) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1385_0
% 229.76/37.97 |
% 229.76/37.97 | DELTA: instantiating (247) with fresh symbols all_1388_0, all_1388_1,
% 229.76/37.97 | all_1388_2, all_1388_3 gives:
% 229.76/37.97 | (863) c_Int_OBit0(all_1388_3) = all_1388_2 & c_Int_OBit1(c_Int_OPls) =
% 229.76/37.97 | all_1388_3 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/37.97 | all_1388_2) = all_1388_1 &
% 229.76/37.97 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1388_0 &
% 229.76/37.97 | $i(all_1388_0) & $i(all_1388_1) & $i(all_1388_2) & $i(all_1388_3) &
% 229.76/37.97 | ! [v0: any] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 229.76/37.97 | (v0 = all_1388_0 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal,
% 229.76/37.97 | v1, all_1388_1) = v2) | ~
% 229.76/37.97 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0, all_1388_1) =
% 229.76/37.97 | v3) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) =
% 229.76/37.97 | v4) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ( ~ (v5 = v1) &
% 229.76/37.97 | hAPP(c_NthRoot_Osqrt, v4) = v5 & $i(v5)))
% 229.76/37.97 |
% 229.76/37.97 | ALPHA: (863) implies:
% 229.76/37.97 | (864) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1388_0
% 229.76/37.97 | (865) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1388_2) =
% 229.76/37.97 | all_1388_1
% 229.76/37.97 | (866) c_Int_OBit1(c_Int_OPls) = all_1388_3
% 229.76/37.97 | (867) c_Int_OBit0(all_1388_3) = all_1388_2
% 229.76/37.97 |
% 229.76/37.97 | DELTA: instantiating (231) with fresh symbols all_1391_0, all_1391_1,
% 229.76/37.97 | all_1391_2 gives:
% 229.76/37.98 | (868) c_Int_OBit0(all_1391_2) = all_1391_1 & c_Int_OBit1(c_Int_OPls) =
% 229.76/37.98 | all_1391_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/37.98 | all_1391_1) = all_1391_0 & $i(all_1391_0) & $i(all_1391_1) &
% 229.76/37.98 | $i(all_1391_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/37.98 | $i] : ! [v4: $i] : ( ~ (c_Power_Opower__class_Opower(v2, v1,
% 229.76/37.98 | all_1391_0) = v3) | ~ (c_Power_Opower__class_Opower(v2, v0,
% 229.76/37.98 | all_1391_0) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/37.98 | class_Rings_Olinordered__semidom(v2) | ~
% 229.76/37.98 | c_Orderings_Oord__class_Oless(v2, v3, v4) |
% 229.76/37.98 | c_Orderings_Oord__class_Oless(v2, v1, v0) | ? [v5: $i] :
% 229.76/37.98 | (c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v5) & ~
% 229.76/37.98 | c_Orderings_Oord__class_Oless__eq(v2, v5, v0)))
% 229.76/37.98 |
% 229.76/37.98 | ALPHA: (868) implies:
% 229.76/37.98 | (869) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1391_1) =
% 229.76/37.98 | all_1391_0
% 229.76/37.98 | (870) c_Int_OBit1(c_Int_OPls) = all_1391_2
% 229.76/37.98 | (871) c_Int_OBit0(all_1391_2) = all_1391_1
% 229.76/37.98 |
% 229.76/37.98 | DELTA: instantiating (226) with fresh symbols all_1394_0, all_1394_1,
% 229.76/37.98 | all_1394_2, all_1394_3 gives:
% 229.76/37.98 | (872) c_Int_OBit0(all_1394_3) = all_1394_2 & c_Int_OBit1(c_Int_OPls) =
% 229.76/37.98 | all_1394_3 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/37.98 | all_1394_2) = all_1394_1 &
% 229.76/37.98 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat, all_1394_1) = all_1394_0 &
% 229.76/37.98 | $i(all_1394_0) & $i(all_1394_1) & $i(all_1394_2) & $i(all_1394_3) &
% 229.76/37.98 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 229.76/37.98 | ! [v5: $i] : ( ~ (c_Power_Opower__class_Opower(v2, v3, v4) = v5) | ~
% 229.76/37.98 | (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~
% 229.76/37.98 | (hAPP(all_1394_0, v0) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 229.76/37.98 | ~ class_Rings_Oring__1(v2) | (c_Power_Opower__class_Opower(v2, v1,
% 229.76/37.98 | v4) = v5 & $i(v5)))
% 229.76/37.98 |
% 229.76/37.98 | ALPHA: (872) implies:
% 229.76/37.98 | (873) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1394_2) =
% 229.76/37.98 | all_1394_1
% 229.76/37.98 | (874) c_Int_OBit1(c_Int_OPls) = all_1394_3
% 229.76/37.98 | (875) c_Int_OBit0(all_1394_3) = all_1394_2
% 229.76/37.98 |
% 229.76/37.98 | DELTA: instantiating (248) with fresh symbols all_1397_0, all_1397_1,
% 229.76/37.98 | all_1397_2, all_1397_3 gives:
% 229.76/37.98 | (876) c_Int_OBit0(all_1397_3) = all_1397_2 & c_Int_OBit1(c_Int_OPls) =
% 229.76/37.98 | all_1397_3 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/37.98 | all_1397_2) = all_1397_1 &
% 229.76/37.98 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1397_0 &
% 229.76/37.98 | $i(all_1397_0) & $i(all_1397_1) & $i(all_1397_2) & $i(all_1397_3) &
% 229.76/37.98 | ! [v0: $i] : ! [v1: any] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 229.76/37.98 | (v1 = all_1397_0 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal,
% 229.76/37.98 | v1, all_1397_1) = v2) | ~
% 229.76/37.98 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0, all_1397_1) =
% 229.76/37.98 | v3) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) =
% 229.76/37.98 | v4) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ( ~ (v5 = v0) &
% 229.76/37.98 | hAPP(c_NthRoot_Osqrt, v4) = v5 & $i(v5)))
% 229.76/37.98 |
% 229.76/37.98 | ALPHA: (876) implies:
% 229.76/37.98 | (877) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1397_0
% 229.76/37.98 | (878) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1397_2) =
% 229.76/37.98 | all_1397_1
% 229.76/37.98 | (879) c_Int_OBit1(c_Int_OPls) = all_1397_3
% 229.76/37.98 | (880) c_Int_OBit0(all_1397_3) = all_1397_2
% 229.76/37.98 |
% 229.76/37.98 | DELTA: instantiating (218) with fresh symbols all_1400_0, all_1400_1,
% 229.76/37.98 | all_1400_2 gives:
% 229.76/37.98 | (881) c_Int_OBit0(all_1400_2) = all_1400_1 & c_Int_OBit1(c_Int_OPls) =
% 229.76/37.98 | all_1400_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/37.98 | all_1400_1) = all_1400_0 & $i(all_1400_0) & $i(all_1400_1) &
% 229.76/37.98 | $i(all_1400_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/37.98 | $i] : ! [v4: $i] : ( ~ (c_Power_Opower__class_Opower(v2, v1,
% 229.76/37.98 | all_1400_0) = v3) | ~ (c_Power_Opower__class_Opower(v2, v0,
% 229.76/37.98 | all_1400_0) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/37.98 | c_Orderings_Oord__class_Oless__eq(v2, v3, v4) | ~
% 229.76/37.98 | class_Rings_Olinordered__semidom(v2) |
% 229.76/37.98 | c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | ? [v5: $i] :
% 229.76/37.98 | (c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v5) & ~
% 229.76/37.98 | c_Orderings_Oord__class_Oless__eq(v2, v5, v0)))
% 229.76/37.98 |
% 229.76/37.98 | ALPHA: (881) implies:
% 229.76/37.98 | (882) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1400_1) =
% 229.76/37.98 | all_1400_0
% 229.76/37.98 | (883) c_Int_OBit1(c_Int_OPls) = all_1400_2
% 229.76/37.98 | (884) c_Int_OBit0(all_1400_2) = all_1400_1
% 229.76/37.98 |
% 229.76/37.98 | DELTA: instantiating (260) with fresh symbol all_1403_0 gives:
% 229.76/37.98 | (885) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1403_0 &
% 229.76/37.98 | $i(all_1403_0) & ! [v0: any] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/37.98 | $i] : (v3 = v2 | v0 = all_1403_0 | ~
% 229.76/37.98 | (c_Power_Opower__class_Opower(v1, v2, v0) = v3) | ~
% 229.76/37.98 | (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/37.98 | class_Rings_Osemiring__0(v1) | ~ class_Power_Opower(v1)) & ! [v0:
% 229.76/37.98 | $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.76/37.98 | (c_Power_Opower__class_Opower(v0, v1, all_1403_0) = v2) | ~
% 229.76/37.98 | (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ $i(v0) | ~
% 229.76/37.98 | class_Rings_Osemiring__0(v0) | ~ class_Power_Opower(v0) |
% 229.76/37.98 | (c_Groups_Oone__class_Oone(v0) = v2 & $i(v2)))
% 229.76/37.98 |
% 229.76/37.98 | ALPHA: (885) implies:
% 229.76/37.98 | (886) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1403_0
% 229.76/37.98 |
% 229.76/37.98 | DELTA: instantiating (238) with fresh symbols all_1406_0, all_1406_1,
% 229.76/37.98 | all_1406_2, all_1406_3 gives:
% 229.76/37.98 | (887) c_Int_OBit0(all_1406_3) = all_1406_2 & c_Int_OBit1(c_Int_OPls) =
% 229.76/37.98 | all_1406_3 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/37.98 | all_1406_2) = all_1406_1 &
% 229.76/37.98 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat, all_1406_1) = all_1406_0 &
% 229.76/37.98 | $i(all_1406_0) & $i(all_1406_1) & $i(all_1406_2) & $i(all_1406_3) &
% 229.76/37.98 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 229.76/37.98 | ( ~ (c_Power_Opower__class_Opower(v2, v1, v3) = v4) | ~
% 229.76/37.98 | (hAPP(all_1406_0, v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 229.76/37.98 | ~ class_Rings_Olinordered__idom(v2) | ? [v5: $i] :
% 229.76/37.98 | (c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v5) &
% 229.76/37.98 | c_Orderings_Oord__class_Oless__eq(v2, v5, v4)))
% 229.76/37.98 |
% 229.76/37.98 | ALPHA: (887) implies:
% 229.76/37.99 | (888) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1406_2) =
% 229.76/37.99 | all_1406_1
% 229.76/37.99 | (889) c_Int_OBit1(c_Int_OPls) = all_1406_3
% 229.76/37.99 | (890) c_Int_OBit0(all_1406_3) = all_1406_2
% 229.76/37.99 |
% 229.76/37.99 | DELTA: instantiating (37) with fresh symbol all_1409_0 gives:
% 229.76/37.99 | (891) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1409_0 &
% 229.76/37.99 | $i(all_1409_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/37.99 | $i] : ( ~ (hAPP(c_Transcendental_Oln, v1) = v2) | ~
% 229.76/37.99 | (hAPP(c_Transcendental_Oln, v0) = v3) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/37.99 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v3) | ~
% 229.76/37.99 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1409_0, v1) |
% 229.76/37.99 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1409_0, v0) |
% 229.76/37.99 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0)) & ! [v0:
% 229.76/37.99 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 229.76/37.99 | (hAPP(c_Transcendental_Oln, v1) = v2) | ~
% 229.76/37.99 | (hAPP(c_Transcendental_Oln, v0) = v3) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/37.99 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | ~
% 229.76/37.99 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1409_0, v1) |
% 229.76/37.99 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1409_0, v0) |
% 229.76/37.99 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v3))
% 229.76/37.99 |
% 229.76/37.99 | ALPHA: (891) implies:
% 229.76/37.99 | (892) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1409_0
% 229.76/37.99 |
% 229.76/37.99 | DELTA: instantiating (267) with fresh symbols all_1412_0, all_1412_1,
% 229.76/37.99 | all_1412_2, all_1412_3 gives:
% 229.76/37.99 | (893) c_Int_OBit0(all_1412_3) = all_1412_2 & c_Int_OBit1(c_Int_OPls) =
% 229.76/37.99 | all_1412_3 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/37.99 | all_1412_2) = all_1412_1 &
% 229.76/37.99 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1412_0 &
% 229.76/37.99 | $i(all_1412_0) & $i(all_1412_1) & $i(all_1412_2) & $i(all_1412_3) &
% 229.76/37.99 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 229.76/37.99 | ! [v5: $i] : ! [v6: $i] : ( ~
% 229.76/37.99 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1, all_1412_1) =
% 229.76/37.99 | v2) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0,
% 229.76/37.99 | all_1412_1) = v3) | ~
% 229.76/37.99 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) = v4) | ~
% 229.76/37.99 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v5) = v6) |
% 229.76/37.99 | ~ (hAPP(c_NthRoot_Osqrt, v4) = v5) | ~ $i(v1) | ~ $i(v0) | ?
% 229.76/37.99 | [v7: $i] : (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v6) = v7 &
% 229.76/37.99 | $i(v7) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7,
% 229.76/37.99 | all_1412_0)))
% 229.76/37.99 |
% 229.76/37.99 | ALPHA: (893) implies:
% 229.76/37.99 | (894) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1412_0
% 229.76/37.99 | (895) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1412_2) =
% 229.76/37.99 | all_1412_1
% 229.76/37.99 | (896) c_Int_OBit1(c_Int_OPls) = all_1412_3
% 229.76/37.99 | (897) c_Int_OBit0(all_1412_3) = all_1412_2
% 229.76/37.99 |
% 229.76/37.99 | DELTA: instantiating (216) with fresh symbols all_1415_0, all_1415_1,
% 229.76/37.99 | all_1415_2, all_1415_3 gives:
% 229.76/37.99 | (898) c_Int_OBit0(all_1415_3) = all_1415_2 & c_Int_OBit1(c_Int_OPls) =
% 229.76/37.99 | all_1415_3 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/37.99 | all_1415_2) = all_1415_1 &
% 229.76/37.99 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat, all_1415_1) = all_1415_0 &
% 229.76/37.99 | $i(all_1415_0) & $i(all_1415_1) & $i(all_1415_2) & $i(all_1415_3) &
% 229.76/37.99 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 229.76/37.99 | ( ~ (c_Power_Opower__class_Opower(v2, v1, v3) = v4) | ~
% 229.76/37.99 | (hAPP(all_1415_0, v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 229.76/37.99 | ~ class_Groups_Omonoid__mult(v2) | ? [v5: $i] :
% 229.76/37.99 | (c_Power_Opower__class_Opower(v2, v5, all_1415_1) = v4 &
% 229.76/37.99 | c_Power_Opower__class_Opower(v2, v1, v0) = v5 & $i(v5) & $i(v4)))
% 229.76/37.99 |
% 229.76/37.99 | ALPHA: (898) implies:
% 229.76/37.99 | (899) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1415_2) =
% 229.76/37.99 | all_1415_1
% 229.76/37.99 | (900) c_Int_OBit1(c_Int_OPls) = all_1415_3
% 229.76/37.99 | (901) c_Int_OBit0(all_1415_3) = all_1415_2
% 229.76/37.99 |
% 229.76/37.99 | DELTA: instantiating (258) with fresh symbol all_1418_0 gives:
% 229.76/37.99 | (902) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1418_0 &
% 229.76/37.99 | $i(all_1418_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/37.99 | $i] : ( ~ (c_Power_Opower__class_Opower(v2, v1, v0) = v3) | ~
% 229.76/37.99 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ class_Power_Opower(v2) | ~
% 229.76/37.99 | class_Rings_Ozero__neq__one(v2) | ~ class_Rings_Omult__zero(v2) |
% 229.76/37.99 | ~ class_Rings_Ono__zero__divisors(v2) | ? [v4: $i] :
% 229.76/37.99 | (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~ (v4 = v3) |
% 229.76/37.99 | (v3 = v1 & ~ (v0 = all_1418_0))) & ( ~ (v4 = v1) | v3 = v1 |
% 229.76/37.99 | v0 = all_1418_0)))
% 229.76/37.99 |
% 229.76/37.99 | ALPHA: (902) implies:
% 229.76/37.99 | (903) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1418_0
% 229.76/37.99 |
% 229.76/37.99 | DELTA: instantiating (242) with fresh symbols all_1421_0, all_1421_1,
% 229.76/37.99 | all_1421_2, all_1421_3 gives:
% 229.76/37.99 | (904) c_Int_OBit0(all_1421_3) = all_1421_2 & c_Int_OBit1(c_Int_OPls) =
% 229.76/37.99 | all_1421_3 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/37.99 | all_1421_2) = all_1421_1 &
% 229.76/37.99 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1421_0 &
% 229.76/37.99 | $i(all_1421_0) & $i(all_1421_1) & $i(all_1421_2) & $i(all_1421_3) &
% 229.76/37.99 | ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(c_NthRoot_Osqrt, v0) = v1) | ~
% 229.76/37.99 | $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 229.76/37.99 | all_1421_0, v0) | c_Power_Opower__class_Opower(tc_RealDef_Oreal,
% 229.76/37.99 | v1, all_1421_1) = v0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 229.76/37.99 | (hAPP(c_NthRoot_Osqrt, v0) = v1) | ~ $i(v0) |
% 229.76/37.99 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1421_0, v0)
% 229.76/37.99 | | ? [v2: $i] : ( ~ (v2 = v0) &
% 229.76/37.99 | c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1, all_1421_1) =
% 229.76/37.99 | v2 & $i(v2)))
% 229.76/37.99 |
% 229.76/37.99 | ALPHA: (904) implies:
% 229.76/37.99 | (905) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1421_0
% 229.76/37.99 | (906) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1421_2) =
% 229.76/37.99 | all_1421_1
% 229.76/37.99 | (907) c_Int_OBit1(c_Int_OPls) = all_1421_3
% 229.76/37.99 | (908) c_Int_OBit0(all_1421_3) = all_1421_2
% 229.76/37.99 |
% 229.76/37.99 | DELTA: instantiating (53) with fresh symbols all_1424_0, all_1424_1,
% 229.76/38.00 | all_1424_2 gives:
% 229.76/38.00 | (909) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1424_1) =
% 229.76/38.00 | all_1424_0 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1424_1
% 229.76/38.00 | & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1424_2 &
% 229.76/38.00 | $i(all_1424_0) & $i(all_1424_1) & $i(all_1424_2) & ! [v0: any] : !
% 229.76/38.00 | [v1: int] : (v1 = all_1424_0 | v0 = all_1424_2 | ~
% 229.76/38.00 | (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v0) = v1) | ~ $i(v0)
% 229.76/38.00 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1424_2, v0))
% 229.76/38.00 | & ! [v0: any] : ! [v1: int] : (v1 = all_1424_1 | v0 = all_1424_2 |
% 229.76/38.00 | ~ (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v0) = v1) | ~
% 229.76/38.00 | $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.76/38.00 | all_1424_2, v0)) & ! [v0: int] : (v0 = all_1424_2 | ~
% 229.76/38.00 | (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, all_1424_2) = v0))
% 229.76/38.00 |
% 229.76/38.00 | ALPHA: (909) implies:
% 229.76/38.00 | (910) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1424_2
% 229.76/38.00 | (911) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1424_1
% 229.76/38.00 | (912) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1424_1) =
% 229.76/38.00 | all_1424_0
% 229.76/38.00 |
% 229.76/38.00 | DELTA: instantiating (53) with fresh symbols all_1427_0, all_1427_1,
% 229.76/38.00 | all_1427_2 gives:
% 229.76/38.00 | (913) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1427_1) =
% 229.76/38.00 | all_1427_0 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1427_1
% 229.76/38.00 | & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1427_2 &
% 229.76/38.00 | $i(all_1427_0) & $i(all_1427_1) & $i(all_1427_2) & ! [v0: any] : !
% 229.76/38.00 | [v1: int] : (v1 = all_1427_0 | v0 = all_1427_2 | ~
% 229.76/38.00 | (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v0) = v1) | ~ $i(v0)
% 229.76/38.00 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1427_2, v0))
% 229.76/38.00 | & ! [v0: any] : ! [v1: int] : (v1 = all_1427_1 | v0 = all_1427_2 |
% 229.76/38.00 | ~ (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v0) = v1) | ~
% 229.76/38.00 | $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 229.76/38.00 | all_1427_2, v0)) & ! [v0: int] : (v0 = all_1427_2 | ~
% 229.76/38.00 | (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, all_1427_2) = v0))
% 229.76/38.00 |
% 229.76/38.00 | ALPHA: (913) implies:
% 229.76/38.00 | (914) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1427_2
% 229.76/38.00 | (915) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1427_1
% 229.76/38.00 | (916) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1427_1) =
% 229.76/38.00 | all_1427_0
% 229.76/38.00 |
% 229.76/38.00 | DELTA: instantiating (143) with fresh symbol all_1430_0 gives:
% 229.76/38.00 | (917) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1430_0 &
% 229.76/38.00 | $i(all_1430_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/38.00 | $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v3 | ~
% 229.76/38.00 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1) = v2) | ~
% 229.76/38.00 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0) = v4) | ~
% 229.76/38.00 | (hAPP(v4, all_1430_0) = v5) | ~ (hAPP(v2, all_1430_0) = v3) | ~
% 229.76/38.00 | $i(v1) | ~ $i(v0)) & ! [v0: $i] : ! [v1: any] : ! [v2: $i] : !
% 229.76/38.00 | [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v2 = v0 | v1 = all_1430_0 |
% 229.76/38.00 | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3) | ~
% 229.76/38.00 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0) = v5) | ~
% 229.76/38.00 | (hAPP(v5, v1) = v4) | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~
% 229.76/38.00 | $i(v1) | ~ $i(v0))
% 229.76/38.00 |
% 229.76/38.00 | ALPHA: (917) implies:
% 229.76/38.00 | (918) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1430_0
% 229.76/38.00 |
% 229.76/38.00 | DELTA: instantiating (88) with fresh symbols all_1433_0, all_1433_1,
% 229.76/38.00 | all_1433_2 gives:
% 229.76/38.00 | (919) c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, all_1433_1) = all_1433_0
% 229.76/38.00 | & c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1433_1 &
% 229.76/38.00 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1433_2 &
% 229.76/38.00 | $i(all_1433_0) & $i(all_1433_1) & $i(all_1433_2) & ! [v0: any] : !
% 229.76/38.00 | [v1: int] : (v1 = all_1433_0 | v0 = all_1433_2 | ~
% 229.76/38.00 | (c_Groups_Osgn__class_Osgn(tc_Int_Oint, v0) = v1) | ~ $i(v0) |
% 229.76/38.00 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1433_2, v0)) & !
% 229.76/38.00 | [v0: any] : ! [v1: int] : (v1 = all_1433_1 | v0 = all_1433_2 | ~
% 229.76/38.00 | (c_Groups_Osgn__class_Osgn(tc_Int_Oint, v0) = v1) | ~ $i(v0) | ~
% 229.76/38.00 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1433_2, v0)) & !
% 229.76/38.00 | [v0: int] : (v0 = all_1433_2 | ~
% 229.76/38.00 | (c_Groups_Osgn__class_Osgn(tc_Int_Oint, all_1433_2) = v0))
% 229.76/38.00 |
% 229.76/38.00 | ALPHA: (919) implies:
% 229.76/38.00 | (920) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1433_2
% 229.76/38.00 |
% 229.76/38.00 | DELTA: instantiating (41) with fresh symbol all_1439_0 gives:
% 229.76/38.00 | (921) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1439_0 &
% 229.76/38.00 | $i(all_1439_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/38.00 | $i] : ( ~ (hAPP(c_Transcendental_Oln, v1) = v2) | ~
% 229.76/38.00 | (hAPP(c_Transcendental_Oln, v0) = v3) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/38.00 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v3) | ~
% 229.76/38.00 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1439_0, v1) |
% 229.76/38.00 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1439_0, v0) |
% 229.76/38.00 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0)) & !
% 229.76/38.00 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 229.76/38.00 | (hAPP(c_Transcendental_Oln, v1) = v2) | ~
% 229.76/38.00 | (hAPP(c_Transcendental_Oln, v0) = v3) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/38.00 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) | ~
% 229.76/38.00 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1439_0, v1) |
% 229.76/38.00 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1439_0, v0) |
% 229.76/38.00 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v3))
% 229.76/38.00 |
% 229.76/38.00 | ALPHA: (921) implies:
% 229.76/38.00 | (922) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1439_0
% 229.76/38.00 |
% 229.76/38.00 | DELTA: instantiating (237) with fresh symbols all_1442_0, all_1442_1,
% 229.76/38.00 | all_1442_2, all_1442_3 gives:
% 229.76/38.00 | (923) c_Int_OBit0(all_1442_3) = all_1442_2 & c_Int_OBit1(c_Int_OPls) =
% 229.76/38.00 | all_1442_3 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/38.00 | all_1442_2) = all_1442_1 &
% 229.76/38.00 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat, all_1442_1) = all_1442_0 &
% 229.76/38.00 | $i(all_1442_0) & $i(all_1442_1) & $i(all_1442_2) & $i(all_1442_3) &
% 229.76/38.00 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 229.76/38.00 | ( ~ (c_Power_Opower__class_Opower(v2, v1, v3) = v4) | ~
% 229.76/38.00 | (hAPP(all_1442_0, v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 229.76/38.00 | ~ class_Rings_Olinordered__idom(v2) | ? [v5: $i] :
% 229.76/38.00 | (c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v5) & (v5 = v1 | ~
% 229.76/38.00 | c_Orderings_Oord__class_Oless__eq(v2, v4, v5))))
% 229.76/38.00 |
% 229.76/38.00 | ALPHA: (923) implies:
% 229.76/38.00 | (924) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1442_2) =
% 229.76/38.00 | all_1442_1
% 229.76/38.00 | (925) c_Int_OBit1(c_Int_OPls) = all_1442_3
% 229.76/38.00 | (926) c_Int_OBit0(all_1442_3) = all_1442_2
% 229.76/38.00 |
% 229.76/38.00 | DELTA: instantiating (147) with fresh symbol all_1445_0 gives:
% 229.76/38.00 | (927) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1445_0 &
% 229.76/38.00 | $i(all_1445_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.76/38.00 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ $i(v1)
% 229.76/38.00 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 229.76/38.00 | all_1445_0, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 229.76/38.00 | all_1445_0, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 229.76/38.00 | all_1445_0, v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.76/38.00 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ $i(v1)
% 229.76/38.00 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 229.76/38.00 | all_1445_0, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 229.76/38.00 | all_1445_0, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.76/38.00 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ $i(v1)
% 229.76/38.00 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 229.76/38.00 | all_1445_0, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 229.76/38.00 | all_1445_0, v2))
% 229.76/38.00 |
% 229.76/38.00 | ALPHA: (927) implies:
% 229.76/38.00 | (928) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1445_0
% 229.76/38.00 |
% 229.76/38.00 | DELTA: instantiating (209) with fresh symbols all_1448_0, all_1448_1,
% 229.76/38.00 | all_1448_2 gives:
% 229.76/38.00 | (929) c_Int_OBit1(all_1448_2) = all_1448_1 & c_Int_OBit1(c_Int_OPls) =
% 229.76/38.00 | all_1448_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/38.00 | all_1448_1) = all_1448_0 & $i(all_1448_0) & $i(all_1448_1) &
% 229.76/38.00 | $i(all_1448_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.76/38.00 | (c_Power_Opower__class_Opower(v1, v0, all_1448_0) = v2) | ~ $i(v1)
% 229.76/38.00 | | ~ $i(v0) | ~ class_Groups_Omonoid__mult(v1) | ? [v3: $i] : ?
% 229.76/38.00 | [v4: $i] : ? [v5: $i] : (c_Groups_Otimes__class_Otimes(v1, v4) =
% 229.76/38.00 | v5 & c_Groups_Otimes__class_Otimes(v1, v0) = v3 & hAPP(v5, v0) =
% 229.76/38.00 | v2 & hAPP(v3, v0) = v4 & $i(v5) & $i(v4) & $i(v3) & $i(v2)))
% 229.76/38.00 |
% 229.76/38.00 | ALPHA: (929) implies:
% 229.76/38.00 | (930) c_Int_OBit1(c_Int_OPls) = all_1448_2
% 229.76/38.00 |
% 229.76/38.00 | DELTA: instantiating (115) with fresh symbol all_1451_0 gives:
% 229.76/38.00 | (931) c_Int_OBit1(c_Int_OPls) = all_1451_0 & $i(all_1451_0) & ! [v0: $i] :
% 229.76/38.00 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 229.76/38.00 | (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v2) | ~
% 229.76/38.00 | (c_Int_Onumber__class_Onumber__of(v1, v3) = v4) | ~
% 229.76/38.00 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_1451_0, v2) = v3) |
% 229.76/38.00 | ~ $i(v1) | ~ $i(v0) | ~ class_Int_Onumber__ring(v1) | ? [v5: $i]
% 229.76/38.00 | : ? [v6: $i] : (( ~ c_Int_Oiszero(v1, v4) | (v6 = v5 &
% 229.76/38.00 | c_Int_Onumber__class_Onumber__of(v1, v0) = v5 &
% 229.76/38.00 | c_Groups_Oone__class_Oone(v1) = v5 & $i(v5))) &
% 229.76/38.00 | (c_Int_Oiszero(v1, v4) | ( ~ (v6 = v5) &
% 229.76/38.00 | c_Int_Onumber__class_Onumber__of(v1, v0) = v6 &
% 229.76/38.00 | c_Groups_Oone__class_Oone(v1) = v5 & $i(v6) & $i(v5)))))
% 229.76/38.00 |
% 229.76/38.00 | ALPHA: (931) implies:
% 229.76/38.00 | (932) c_Int_OBit1(c_Int_OPls) = all_1451_0
% 229.76/38.00 |
% 229.76/38.00 | DELTA: instantiating (207) with fresh symbol all_1454_0 gives:
% 229.76/38.00 | (933) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1454_0 &
% 229.76/38.00 | $i(all_1454_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/38.00 | $i] : ! [v4: $i] : ( ~ (c_Power_Opower__class_Opower(v2, v1, v3) =
% 229.76/38.00 | v4) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3)
% 229.76/38.00 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ class_Power_Opower(v2) |
% 229.76/38.00 | ~ class_Rings_Ozero__neq__one(v2) | ~ class_Rings_Omult__zero(v2)
% 229.76/38.00 | | ~ class_Rings_Ono__zero__divisors(v2) | ? [v5: $i] :
% 229.76/38.00 | (c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v5) & ( ~ (v5 = v4) |
% 229.76/38.00 | (v4 = v1 & ~ (v3 = all_1454_0))) & ( ~ (v5 = v1) | v4 = v1 |
% 229.76/38.00 | v3 = all_1454_0)))
% 229.76/38.00 |
% 229.76/38.00 | ALPHA: (933) implies:
% 229.76/38.00 | (934) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1454_0
% 229.76/38.00 |
% 229.76/38.00 | DELTA: instantiating (85) with fresh symbol all_1457_0 gives:
% 229.76/38.00 | (935) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1457_0 &
% 229.76/38.00 | $i(all_1457_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/38.00 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 229.76/38.00 | [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 229.76/38.00 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v10, v0) = v8) | ~
% 229.76/38.00 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v3) = v8) | ~
% 229.76/38.00 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v5) = v6) | ~
% 229.76/38.00 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v2) = v9) | ~
% 229.76/38.00 | (hAPP(v9, v1) = v10) | ~ (hAPP(v6, v4) = v7) | ~ $i(v5) | ~
% 229.76/38.00 | $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/38.00 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v5) | ~
% 229.76/38.00 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1457_0, v8) | ~
% 229.76/38.00 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1457_0, v3) | ~
% 229.76/38.00 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | ~
% 229.76/38.00 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1457_0, v2) |
% 229.76/38.00 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v4, v1))
% 229.76/38.00 |
% 229.76/38.00 | ALPHA: (935) implies:
% 229.76/38.00 | (936) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1457_0
% 229.76/38.00 |
% 229.76/38.00 | DELTA: instantiating (257) with fresh symbol all_1460_0 gives:
% 229.76/38.00 | (937) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1460_0 &
% 229.76/38.00 | $i(all_1460_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ! [v3:
% 229.76/38.00 | $i] : (v2 = all_1460_0 | ~
% 229.76/38.00 | (c_Power_Opower__class_Opower(tc_Nat_Onat, v1, v2) = v3) | ~
% 229.76/38.00 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v2) | ~
% 229.76/38.00 | $i(v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 229.76/38.00 | all_1460_0, v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 229.76/38.00 | all_1460_0, v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 229.76/38.00 | [v3: $i] : ( ~ (c_Power_Opower__class_Opower(tc_Nat_Onat, v1, v2) =
% 229.76/38.00 | v3) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v2)
% 229.76/38.00 | | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/38.00 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1460_0, v1) |
% 229.76/38.00 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1460_0, v3)) & !
% 229.76/38.00 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.76/38.00 | (c_Power_Opower__class_Opower(tc_Nat_Onat, v1, all_1460_0) = v2) |
% 229.76/38.00 | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = all_1460_0)
% 229.76/38.00 | | ~ $i(v1) | ~ $i(v0) |
% 229.76/38.00 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1460_0, v2))
% 229.76/38.00 |
% 229.76/38.00 | ALPHA: (937) implies:
% 229.76/38.00 | (938) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1460_0
% 229.76/38.00 |
% 229.76/38.00 | DELTA: instantiating (56) with fresh symbols all_1463_0, all_1463_1 gives:
% 229.76/38.01 | (939) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1463_0 &
% 229.76/38.01 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1463_1 &
% 229.76/38.01 | $i(all_1463_0) & $i(all_1463_1) & ! [v0: $i] : ! [v1: any] : !
% 229.76/38.01 | [v2: $i] : (v1 = all_1463_0 | ~
% 229.76/38.01 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1) = v2) | ~
% 229.76/38.01 | (hAPP(v2, v0) = all_1463_0) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/38.01 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1463_1, v1)) & !
% 229.76/38.01 | [v0: any] : ! [v1: $i] : ! [v2: $i] : (v0 = all_1463_0 | ~
% 229.76/38.01 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1) = v2) | ~
% 229.76/38.01 | (hAPP(v2, v0) = all_1463_0) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/38.01 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1463_1, v1)) & !
% 229.76/38.01 | [v0: $i] : ! [v1: int] : (v1 = all_1463_0 | ~
% 229.76/38.01 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, all_1463_0) = v0) | ~
% 229.76/38.01 | (hAPP(v0, all_1463_0) = v1) | ~
% 229.76/38.01 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1463_1, all_1463_0))
% 229.76/38.01 |
% 229.76/38.01 | ALPHA: (939) implies:
% 229.76/38.01 | (940) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1463_1
% 229.76/38.01 |
% 229.76/38.01 | DELTA: instantiating (114) with fresh symbols all_1466_0, all_1466_1 gives:
% 229.76/38.01 | (941) c_Int_OBit1(c_Int_OPls) = all_1466_1 &
% 229.76/38.01 | c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, all_1466_1) = all_1466_0
% 229.76/38.01 | & $i(all_1466_0) & $i(all_1466_1) & ! [v0: $i] : ! [v1: $i] : !
% 229.76/38.01 | [v2: $i] : ! [v3: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v1,
% 229.76/38.01 | v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0,
% 229.76/38.01 | all_1466_0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/38.01 | class_Int_Onumber__ring(v1) | ? [v4: $i] : ? [v5: $i] : (( ~
% 229.76/38.01 | c_Int_Oiszero(v1, v3) | (v5 = v4 &
% 229.76/38.01 | c_Int_Onumber__class_Onumber__of(v1, v0) = v4 &
% 229.76/38.01 | c_Groups_Oone__class_Oone(v1) = v4 & $i(v4))) &
% 229.76/38.01 | (c_Int_Oiszero(v1, v3) | ( ~ (v5 = v4) &
% 229.76/38.01 | c_Int_Onumber__class_Onumber__of(v1, v0) = v4 &
% 229.76/38.01 | c_Groups_Oone__class_Oone(v1) = v5 & $i(v5) & $i(v4)))))
% 229.76/38.01 |
% 229.76/38.01 | ALPHA: (941) implies:
% 229.76/38.01 | (942) c_Int_OBit1(c_Int_OPls) = all_1466_1
% 229.76/38.01 |
% 229.76/38.01 | DELTA: instantiating (225) with fresh symbols all_1469_0, all_1469_1,
% 229.76/38.01 | all_1469_2, all_1469_3 gives:
% 229.76/38.01 | (943) c_Int_OBit0(all_1469_3) = all_1469_2 & c_Int_OBit1(c_Int_OPls) =
% 229.76/38.01 | all_1469_3 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/38.01 | all_1469_2) = all_1469_1 &
% 229.76/38.01 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat, all_1469_1) = all_1469_0 &
% 229.76/38.01 | $i(all_1469_0) & $i(all_1469_1) & $i(all_1469_2) & $i(all_1469_3) &
% 229.76/38.01 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 229.76/38.01 | ( ~ (c_Power_Opower__class_Opower(v2, v1, v3) = v4) | ~
% 229.76/38.01 | (hAPP(all_1469_0, v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 229.76/38.01 | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v5: $i] : ? [v6: $i] :
% 229.76/38.01 | (c_Power_Opower__class_Opower(v2, v1, v0) = v5 &
% 229.76/38.01 | c_Groups_Otimes__class_Otimes(v2, v5) = v6 & hAPP(v6, v5) = v4 &
% 229.76/38.01 | $i(v6) & $i(v5) & $i(v4)))
% 229.76/38.01 |
% 229.76/38.01 | ALPHA: (943) implies:
% 229.76/38.01 | (944) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1469_2) =
% 229.76/38.01 | all_1469_1
% 229.76/38.01 | (945) c_Int_OBit1(c_Int_OPls) = all_1469_3
% 229.76/38.01 | (946) c_Int_OBit0(all_1469_3) = all_1469_2
% 229.76/38.01 |
% 229.76/38.01 | DELTA: instantiating (155) with fresh symbol all_1472_0 gives:
% 229.76/38.01 | (947) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1472_0 &
% 229.76/38.01 | $i(all_1472_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/38.01 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 229.76/38.01 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3) | ~
% 229.76/38.01 | (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ $i(v2) | ~
% 229.76/38.01 | $i(v1) | ~ $i(v0) | ~
% 229.76/38.01 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5) | ~
% 229.76/38.01 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1472_0, v2) |
% 229.76/38.01 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) & ! [v0:
% 229.76/38.01 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 229.76/38.01 | [v5: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3)
% 229.76/38.01 | | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ $i(v2) | ~
% 229.76/38.01 | $i(v1) | ~ $i(v0) | ~
% 229.76/38.01 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | ~
% 229.76/38.01 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1472_0, v2) |
% 229.76/38.01 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5))
% 229.76/38.01 |
% 229.76/38.01 | ALPHA: (947) implies:
% 229.76/38.01 | (948) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1472_0
% 229.76/38.01 |
% 229.76/38.01 | DELTA: instantiating (208) with fresh symbol all_1475_0 gives:
% 229.76/38.01 | (949) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1475_0 &
% 229.76/38.01 | $i(all_1475_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ! [v3:
% 229.76/38.01 | $i] : ! [v4: $i] : (v4 = v3 | v2 = all_1475_0 | ~
% 229.76/38.01 | (c_Power_Opower__class_Opower(v1, v3, v2) = v4) | ~
% 229.76/38.01 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v2) | ~
% 229.76/38.01 | (c_Groups_Ozero__class_Ozero(v1) = v3) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/38.01 | class_Rings_Osemiring__0(v1) | ~ class_Power_Opower(v1)) & ! [v0:
% 229.76/38.01 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 229.76/38.01 | (c_Power_Opower__class_Opower(v1, v2, all_1475_0) = v3) | ~
% 229.76/38.01 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = all_1475_0) |
% 229.76/38.01 | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ $i(v1) | ~ $i(v0) |
% 229.76/38.01 | ~ class_Rings_Osemiring__0(v1) | ~ class_Power_Opower(v1) |
% 229.76/38.01 | (c_Groups_Oone__class_Oone(v1) = v3 & $i(v3)))
% 229.76/38.01 |
% 229.76/38.01 | ALPHA: (949) implies:
% 229.76/38.01 | (950) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1475_0
% 229.76/38.01 |
% 229.76/38.01 | DELTA: instantiating (27) with fresh symbol all_1478_0 gives:
% 229.76/38.01 | (951) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1478_0 &
% 229.76/38.01 | $i(all_1478_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/38.01 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 229.76/38.01 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) = v3) | ~
% 229.76/38.01 | (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ $i(v2) | ~
% 229.76/38.01 | $i(v1) | ~ $i(v0) | ~
% 229.76/38.01 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5) | ~
% 229.76/38.01 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1478_0, v2) |
% 229.76/38.01 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0)) & !
% 229.76/38.01 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 229.76/38.01 | [v5: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) =
% 229.76/38.01 | v3) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ $i(v2)
% 229.76/38.01 | | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/38.01 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) | ~
% 229.76/38.01 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1478_0, v2) |
% 229.76/38.01 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5))
% 229.76/38.01 |
% 229.76/38.01 | ALPHA: (951) implies:
% 229.76/38.01 | (952) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1478_0
% 229.76/38.01 |
% 229.76/38.01 | DELTA: instantiating (83) with fresh symbol all_1481_0 gives:
% 229.76/38.01 | (953) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1481_0 &
% 229.76/38.01 | $i(all_1481_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/38.01 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 229.76/38.01 | [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 229.76/38.01 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v10, v0) = v8) | ~
% 229.76/38.01 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v7, v3) = v8) | ~
% 229.76/38.01 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v5) = v6) | ~
% 229.76/38.01 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v2) = v9) | ~
% 229.76/38.01 | (hAPP(v9, v1) = v10) | ~ (hAPP(v6, v4) = v7) | ~ $i(v5) | ~
% 229.76/38.01 | $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/38.01 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v5) | ~
% 229.76/38.01 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1481_0, v0) | ~
% 229.76/38.01 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v8, all_1481_0) | ~
% 229.76/38.01 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v5) | ~
% 229.76/38.01 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1481_0, v2) |
% 229.76/38.01 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v4))
% 229.76/38.01 |
% 229.76/38.01 | ALPHA: (953) implies:
% 229.76/38.01 | (954) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1481_0
% 229.76/38.01 |
% 229.76/38.01 | DELTA: instantiating (157) with fresh symbol all_1484_0 gives:
% 229.76/38.01 | (955) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1484_0 &
% 229.76/38.01 | $i(all_1484_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/38.01 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 229.76/38.01 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3) | ~
% 229.76/38.01 | (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ $i(v2) | ~
% 229.76/38.01 | $i(v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 229.76/38.01 | v4, v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 229.76/38.01 | all_1484_0, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1,
% 229.76/38.01 | v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : !
% 229.76/38.01 | [v4: $i] : ! [v5: $i] : ( ~
% 229.76/38.01 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3) | ~
% 229.76/38.01 | (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ $i(v2) | ~
% 229.76/38.01 | $i(v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 229.76/38.01 | v1, v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 229.76/38.01 | all_1484_0, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4,
% 229.76/38.01 | v5))
% 229.76/38.01 |
% 229.76/38.01 | ALPHA: (955) implies:
% 229.76/38.01 | (956) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1484_0
% 229.76/38.01 |
% 229.76/38.01 | DELTA: instantiating (224) with fresh symbols all_1487_0, all_1487_1,
% 229.76/38.01 | all_1487_2 gives:
% 229.76/38.01 | (957) c_Int_OBit0(all_1487_2) = all_1487_1 & c_Int_OBit1(c_Int_OPls) =
% 229.76/38.01 | all_1487_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/38.01 | all_1487_1) = all_1487_0 & $i(all_1487_0) & $i(all_1487_1) &
% 229.76/38.01 | $i(all_1487_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.76/38.01 | (c_Power_Opower__class_Opower(v1, v0, all_1487_0) = v2) | ~ $i(v1)
% 229.76/38.01 | | ~ $i(v0) | ~ class_Rings_Oring__1__no__zero__divisors(v1) | ?
% 229.76/38.01 | [v3: $i] : ? [v4: $i] : (c_Groups_Oone__class_Oone(v1) = v3 &
% 229.76/38.01 | $i(v3) & ( ~ (v3 = v2) | v2 = v0 | (v4 = v0 &
% 229.76/38.01 | c_Groups_Ouminus__class_Ouminus(v1, v2) = v0)) & (v3 = v2 | (
% 229.76/38.01 | ~ (v4 = v0) & ~ (v3 = v0) &
% 229.76/38.01 | c_Groups_Ouminus__class_Ouminus(v1, v3) = v4 & $i(v4)))))
% 229.76/38.01 |
% 229.76/38.01 | ALPHA: (957) implies:
% 229.76/38.01 | (958) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1487_1) =
% 229.76/38.01 | all_1487_0
% 229.76/38.01 | (959) c_Int_OBit1(c_Int_OPls) = all_1487_2
% 229.76/38.01 | (960) c_Int_OBit0(all_1487_2) = all_1487_1
% 229.76/38.01 |
% 229.76/38.01 | DELTA: instantiating (222) with fresh symbols all_1490_0, all_1490_1,
% 229.76/38.01 | all_1490_2 gives:
% 229.76/38.01 | (961) c_Int_OBit0(all_1490_2) = all_1490_1 & c_Int_OBit1(c_Int_OPls) =
% 229.76/38.01 | all_1490_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/38.01 | all_1490_1) = all_1490_0 & $i(all_1490_0) & $i(all_1490_1) &
% 229.76/38.01 | $i(all_1490_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/38.01 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 229.76/38.01 | (c_Power_Opower__class_Opower(v2, v1, all_1490_0) = v3) | ~
% 229.76/38.01 | (c_Power_Opower__class_Opower(v2, v0, all_1490_0) = v4) | ~
% 229.76/38.01 | (c_Groups_Oplus__class_Oplus(v2, v3, v4) = v5) | ~ $i(v2) | ~
% 229.76/38.01 | $i(v1) | ~ $i(v0) | ~ class_Rings_Olinordered__idom(v2) | ? [v6:
% 229.76/38.01 | $i] : (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~ (v6 =
% 229.76/38.01 | v5) | (v5 = v0 & v1 = v0)) & ( ~ (v6 = v0) | ~ (v1 = v0) |
% 229.76/38.01 | v5 = v0)))
% 229.76/38.01 |
% 229.76/38.01 | ALPHA: (961) implies:
% 229.76/38.01 | (962) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1490_1) =
% 229.76/38.01 | all_1490_0
% 229.76/38.01 | (963) c_Int_OBit1(c_Int_OPls) = all_1490_2
% 229.76/38.01 | (964) c_Int_OBit0(all_1490_2) = all_1490_1
% 229.76/38.01 |
% 229.76/38.01 | DELTA: instantiating (148) with fresh symbol all_1493_0 gives:
% 229.76/38.01 | (965) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1493_0 &
% 229.76/38.01 | $i(all_1493_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/38.01 | $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1) = v2) |
% 229.76/38.01 | ~ (hAPP(v2, v0) = v3) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/38.01 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1493_0, v3) |
% 229.76/38.01 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1493_0, v1)) & !
% 229.76/38.01 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 229.76/38.01 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1) = v2) | ~
% 229.76/38.01 | (hAPP(v2, v0) = v3) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/38.01 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1493_0, v3) |
% 229.76/38.01 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1493_0, v0)) & !
% 229.76/38.01 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 229.76/38.01 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v1) = v2) | ~
% 229.76/38.01 | (hAPP(v2, v0) = v3) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/38.01 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1493_0, v1) | ~
% 229.76/38.01 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1493_0, v0) |
% 229.76/38.01 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1493_0, v3))
% 229.76/38.01 |
% 229.76/38.01 | ALPHA: (965) implies:
% 229.76/38.01 | (966) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1493_0
% 229.76/38.01 |
% 229.76/38.01 | DELTA: instantiating (235) with fresh symbols all_1496_0, all_1496_1,
% 229.76/38.01 | all_1496_2 gives:
% 229.76/38.01 | (967) c_Int_OBit0(all_1496_2) = all_1496_1 & c_Int_OBit1(c_Int_OPls) =
% 229.76/38.01 | all_1496_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/38.01 | all_1496_1) = all_1496_0 & $i(all_1496_0) & $i(all_1496_1) &
% 229.76/38.01 | $i(all_1496_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/38.01 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 229.76/38.01 | (c_Power_Opower__class_Opower(v2, v1, all_1496_0) = v3) | ~
% 229.76/38.01 | (c_Power_Opower__class_Opower(v2, v0, all_1496_0) = v4) | ~
% 229.76/38.01 | (c_Groups_Oplus__class_Oplus(v2, v3, v4) = v5) | ~ $i(v2) | ~
% 229.76/38.01 | $i(v1) | ~ $i(v0) | ~ class_Rings_Olinordered__idom(v2) | ? [v6:
% 229.76/38.01 | $i] : (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~ (v6 =
% 229.76/38.01 | v0) | ~ (v1 = v0) | ~ c_Orderings_Oord__class_Oless(v2, v0,
% 229.76/38.01 | v5)) & (c_Orderings_Oord__class_Oless(v2, v6, v5) | (v6 = v0
% 229.76/38.01 | & v1 = v0))))
% 229.76/38.01 |
% 229.76/38.01 | ALPHA: (967) implies:
% 229.76/38.01 | (968) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1496_1) =
% 229.76/38.01 | all_1496_0
% 229.76/38.01 | (969) c_Int_OBit1(c_Int_OPls) = all_1496_2
% 229.76/38.01 | (970) c_Int_OBit0(all_1496_2) = all_1496_1
% 229.76/38.01 |
% 229.76/38.01 | DELTA: instantiating (233) with fresh symbols all_1499_0, all_1499_1,
% 229.76/38.01 | all_1499_2 gives:
% 229.76/38.01 | (971) c_Int_OBit0(all_1499_2) = all_1499_1 & c_Int_OBit1(c_Int_OPls) =
% 229.76/38.01 | all_1499_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/38.01 | all_1499_1) = all_1499_0 & $i(all_1499_0) & $i(all_1499_1) &
% 229.76/38.01 | $i(all_1499_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/38.01 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 229.76/38.01 | (c_Power_Opower__class_Opower(v2, v1, all_1499_0) = v3) | ~
% 229.76/38.01 | (c_Power_Opower__class_Opower(v2, v0, all_1499_0) = v4) | ~
% 229.76/38.01 | (c_Groups_Oplus__class_Oplus(v2, v3, v4) = v5) | ~ $i(v2) | ~
% 229.76/38.01 | $i(v1) | ~ $i(v0) | ~ class_Rings_Olinordered__idom(v2) | ? [v6:
% 229.76/38.01 | $i] : (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~ (v6 =
% 229.76/38.01 | v0) | ~ (v1 = v0) | c_Orderings_Oord__class_Oless__eq(v2,
% 229.76/38.01 | v5, v0)) & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v5, v6)
% 229.76/38.01 | | (v6 = v0 & v1 = v0))))
% 229.76/38.01 |
% 229.76/38.01 | ALPHA: (971) implies:
% 229.76/38.01 | (972) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1499_1) =
% 229.76/38.01 | all_1499_0
% 229.76/38.01 | (973) c_Int_OBit1(c_Int_OPls) = all_1499_2
% 229.76/38.01 | (974) c_Int_OBit0(all_1499_2) = all_1499_1
% 229.76/38.01 |
% 229.76/38.01 | DELTA: instantiating (249) with fresh symbols all_1502_0, all_1502_1,
% 229.76/38.01 | all_1502_2 gives:
% 229.76/38.01 | (975) c_Int_OBit0(all_1502_2) = all_1502_1 & c_Int_OBit1(c_Int_OPls) =
% 229.76/38.01 | all_1502_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/38.01 | all_1502_1) = all_1502_0 & $i(all_1502_0) & $i(all_1502_1) &
% 229.76/38.01 | $i(all_1502_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/38.01 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 229.76/38.01 | [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 229.76/38.01 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, all_1502_0) =
% 229.76/38.01 | v4) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v2,
% 229.76/38.01 | all_1502_0) = v5) | ~
% 229.76/38.01 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1, all_1502_0) =
% 229.76/38.01 | v8) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0,
% 229.76/38.01 | all_1502_0) = v9) | ~
% 229.76/38.01 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v8, v9) = v10) | ~
% 229.76/38.01 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v5) = v6) | ~
% 229.76/38.01 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v6) = v7) | ~
% 229.76/38.01 | (hAPP(v7, v10) = v11) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 229.76/38.01 | $i(v0) | ? [v12: $i] :
% 229.76/38.01 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v12, all_1502_0) =
% 229.76/38.01 | v11 & hAPP(c_NthRoot_Osqrt, v11) = v12 & $i(v12) & $i(v11)))
% 229.76/38.01 |
% 229.76/38.01 | ALPHA: (975) implies:
% 229.76/38.01 | (976) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1502_1) =
% 229.76/38.01 | all_1502_0
% 229.76/38.01 | (977) c_Int_OBit1(c_Int_OPls) = all_1502_2
% 229.76/38.01 | (978) c_Int_OBit0(all_1502_2) = all_1502_1
% 229.76/38.01 |
% 229.76/38.01 | DELTA: instantiating (30) with fresh symbol all_1505_0 gives:
% 229.76/38.01 | (979) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1505_0 &
% 229.76/38.01 | $i(all_1505_0) & ! [v0: $i] : ! [v1: any] : ! [v2: $i] : ! [v3:
% 229.76/38.01 | $i] : ! [v4: $i] : ! [v5: $i] : (v1 = all_1505_0 | ~
% 229.76/38.01 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) =
% 229.76/38.01 | all_1505_0) | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,
% 229.76/38.01 | v1) = v2) | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,
% 229.76/38.01 | v0) = v4) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v1) = v3) |
% 229.76/38.01 | ~ $i(v1) | ~ $i(v0)) & ! [v0: any] : ! [v1: $i] : ! [v2: $i] :
% 229.76/38.01 | ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v0 = all_1505_0 | ~
% 229.76/38.01 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) =
% 229.76/38.01 | all_1505_0) | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,
% 229.76/38.01 | v1) = v2) | ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,
% 229.76/38.01 | v0) = v4) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v1) = v3) |
% 229.76/38.01 | ~ $i(v1) | ~ $i(v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] :
% 229.76/38.01 | (v2 = all_1505_0 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 229.76/38.01 | v1, v1) = v2) | ~
% 229.76/38.01 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1505_0) = v0)
% 229.76/38.01 | | ~ (hAPP(v0, all_1505_0) = v1))
% 229.76/38.01 |
% 229.76/38.01 | ALPHA: (979) implies:
% 229.76/38.01 | (980) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1505_0
% 229.76/38.01 |
% 229.76/38.01 | DELTA: instantiating (26) with fresh symbol all_1508_0 gives:
% 229.76/38.01 | (981) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1508_0 &
% 229.76/38.01 | $i(all_1508_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/38.01 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 229.76/38.01 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1) = v3) | ~
% 229.76/38.01 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0) = v5) | ~
% 229.76/38.01 | (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ $i(v2) | ~
% 229.76/38.01 | $i(v1) | ~ $i(v0) | ~
% 229.76/38.01 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v6) | ~
% 229.76/38.01 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1508_0, v2) |
% 229.76/38.01 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0)) & !
% 229.76/38.01 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 229.76/38.01 | [v5: $i] : ! [v6: $i] : ( ~
% 229.76/38.01 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1) = v3) | ~
% 229.76/38.01 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0) = v5) | ~
% 229.76/38.01 | (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ $i(v2) | ~
% 229.76/38.01 | $i(v1) | ~ $i(v0) | ~
% 229.76/38.01 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) | ~
% 229.76/38.01 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1508_0, v2) |
% 229.76/38.01 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v6))
% 229.76/38.01 |
% 229.76/38.01 | ALPHA: (981) implies:
% 229.76/38.01 | (982) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1508_0
% 229.76/38.01 |
% 229.76/38.01 | DELTA: instantiating (20) with fresh symbol all_1511_0 gives:
% 229.76/38.01 | (983) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1511_0 &
% 229.76/38.01 | $i(all_1511_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/38.01 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 229.76/38.01 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1) = v3) | ~
% 229.76/38.01 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0) = v5) | ~
% 229.76/38.01 | (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ $i(v2) | ~
% 229.76/38.01 | $i(v1) | ~ $i(v0) | ~
% 229.76/38.01 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6) | ~
% 229.76/38.01 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1511_0, v2) |
% 229.76/38.01 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0)) & ! [v0:
% 229.76/38.01 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 229.76/38.01 | [v5: $i] : ! [v6: $i] : ( ~
% 229.76/38.01 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1) = v3) | ~
% 229.76/38.01 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0) = v5) | ~
% 229.76/38.01 | (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ $i(v2) | ~
% 229.76/38.01 | $i(v1) | ~ $i(v0) | ~
% 229.76/38.01 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | ~
% 229.76/38.01 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1511_0, v2) |
% 229.76/38.01 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6))
% 229.76/38.01 |
% 229.76/38.01 | ALPHA: (983) implies:
% 229.76/38.01 | (984) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1511_0
% 229.76/38.01 |
% 229.76/38.01 | DELTA: instantiating (228) with fresh symbols all_1514_0, all_1514_1,
% 229.76/38.01 | all_1514_2, all_1514_3, all_1514_4, all_1514_5, all_1514_6, all_1514_7
% 229.76/38.01 | gives:
% 229.76/38.02 | (985) c_Int_OBit0(all_1514_6) = all_1514_5 & c_Int_OBit0(all_1514_7) =
% 229.76/38.02 | all_1514_6 & c_Int_OBit1(c_Int_OPls) = all_1514_7 &
% 229.76/38.02 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1514_6) =
% 229.76/38.02 | all_1514_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 229.76/38.02 | all_1514_5) = all_1514_4 &
% 229.76/38.02 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1514_6) =
% 229.76/38.02 | all_1514_1 & c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,
% 229.76/38.02 | all_1514_1) = all_1514_0 &
% 229.76/38.02 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1514_4) =
% 229.76/38.02 | all_1514_3 & $i(all_1514_0) & $i(all_1514_1) & $i(all_1514_2) &
% 229.76/38.02 | $i(all_1514_3) & $i(all_1514_4) & $i(all_1514_5) & $i(all_1514_6) &
% 229.76/38.02 | $i(all_1514_7) & ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(all_1514_0,
% 229.76/38.02 | v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] :
% 229.76/38.02 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1, all_1514_2) =
% 229.76/38.02 | v3 & c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0,
% 229.76/38.02 | all_1514_2) = v2 & hAPP(all_1514_3, v2) = v3 & $i(v3) &
% 229.76/38.02 | $i(v2)))
% 229.76/38.02 |
% 229.76/38.02 | ALPHA: (985) implies:
% 229.76/38.02 | (986) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1514_6) =
% 229.76/38.02 | all_1514_1
% 229.76/38.02 | (987) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1514_6) =
% 229.76/38.02 | all_1514_2
% 229.76/38.02 | (988) c_Int_OBit1(c_Int_OPls) = all_1514_7
% 229.76/38.02 | (989) c_Int_OBit0(all_1514_7) = all_1514_6
% 229.76/38.02 |
% 229.76/38.02 | DELTA: instantiating (252) with fresh symbols all_1517_0, all_1517_1,
% 229.76/38.02 | all_1517_2, all_1517_3, all_1517_4 gives:
% 229.76/38.02 | (990) c_Int_OBit0(all_1517_4) = all_1517_3 & c_Int_OBit1(c_Int_OPls) =
% 229.76/38.02 | all_1517_4 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/38.02 | all_1517_3) = all_1517_2 &
% 229.76/38.02 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1517_3) =
% 229.76/38.02 | all_1517_1 & c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,
% 229.76/38.02 | all_1517_1) = all_1517_0 & $i(all_1517_0) & $i(all_1517_1) &
% 229.76/38.02 | $i(all_1517_2) & $i(all_1517_3) & $i(all_1517_4) & ! [v0: $i] : !
% 229.76/38.02 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 229.76/38.02 | [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 229.76/38.02 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1, all_1517_2) =
% 229.76/38.02 | v2) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0,
% 229.76/38.02 | all_1517_2) = v3) | ~
% 229.76/38.02 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v7) = v8) | ~
% 229.76/38.02 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) = v4) | ~
% 229.76/38.02 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v5) = v6) | ~
% 229.76/38.02 | (hAPP(v6, v0) = v7) | ~ (hAPP(all_1517_0, v1) = v5) | ~ $i(v1) |
% 229.76/38.02 | ~ $i(v0) | ? [v9: $i] :
% 229.76/38.02 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v9, all_1517_2) =
% 229.76/38.02 | v8 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v9 &
% 229.76/38.02 | $i(v9) & $i(v8)))
% 229.76/38.02 |
% 229.76/38.02 | ALPHA: (990) implies:
% 229.76/38.02 | (991) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1517_3) =
% 229.76/38.02 | all_1517_1
% 229.76/38.02 | (992) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1517_3) =
% 229.76/38.02 | all_1517_2
% 229.76/38.02 | (993) c_Int_OBit1(c_Int_OPls) = all_1517_4
% 229.76/38.02 | (994) c_Int_OBit0(all_1517_4) = all_1517_3
% 229.76/38.02 |
% 229.76/38.02 | DELTA: instantiating (227) with fresh symbols all_1520_0, all_1520_1,
% 229.76/38.02 | all_1520_2, all_1520_3 gives:
% 229.76/38.02 | (995) c_Int_OBit0(all_1520_3) = all_1520_2 & c_Int_OBit1(c_Int_OPls) =
% 229.76/38.02 | all_1520_3 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/38.02 | all_1520_2) = all_1520_1 &
% 229.76/38.02 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1520_0 &
% 229.76/38.02 | $i(all_1520_0) & $i(all_1520_1) & $i(all_1520_2) & $i(all_1520_3) &
% 229.76/38.02 | ! [v0: $i] : ! [v1: any] : ! [v2: $i] : ! [v3: $i] : (v1 =
% 229.76/38.02 | all_1520_0 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1,
% 229.76/38.02 | all_1520_1) = v2) | ~
% 229.76/38.02 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0, all_1520_1) =
% 229.76/38.02 | v3) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) =
% 229.76/38.02 | all_1520_0) | ~ $i(v1) | ~ $i(v0)) & ! [v0: any] : ! [v1: $i]
% 229.76/38.02 | : ! [v2: $i] : ! [v3: $i] : (v0 = all_1520_0 | ~
% 229.76/38.02 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1, all_1520_1) =
% 229.76/38.02 | v2) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0,
% 229.76/38.02 | all_1520_1) = v3) | ~
% 229.76/38.02 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) =
% 229.76/38.02 | all_1520_0) | ~ $i(v1) | ~ $i(v0)) & ! [v0: $i] : ! [v1: int]
% 229.76/38.02 | : (v1 = all_1520_0 | ~
% 229.76/38.02 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, all_1520_0,
% 229.76/38.02 | all_1520_1) = v0) | ~
% 229.76/38.02 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v0) = v1))
% 229.76/38.02 |
% 229.76/38.02 | ALPHA: (995) implies:
% 229.76/38.02 | (996) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1520_0
% 229.76/38.02 | (997) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1520_2) =
% 229.76/38.02 | all_1520_1
% 229.76/38.02 | (998) c_Int_OBit1(c_Int_OPls) = all_1520_3
% 229.76/38.02 | (999) c_Int_OBit0(all_1520_3) = all_1520_2
% 229.76/38.02 |
% 229.76/38.02 | DELTA: instantiating (205) with fresh symbols all_1523_0, all_1523_1,
% 229.76/38.02 | all_1523_2, all_1523_3 gives:
% 229.76/38.02 | (1000) c_Int_OBit0(all_1523_2) = all_1523_1 & c_Int_OBit1(c_Int_OPls) =
% 229.76/38.02 | all_1523_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/38.02 | all_1523_1) = all_1523_0 &
% 229.76/38.02 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1523_3 &
% 229.76/38.02 | $i(all_1523_0) & $i(all_1523_1) & $i(all_1523_2) & $i(all_1523_3) &
% 229.76/38.02 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 229.76/38.02 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i]
% 229.76/38.02 | : ! [v10: $i] : ! [v11: $i] : ( ~
% 229.76/38.02 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, all_1523_0) =
% 229.76/38.02 | v4) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v2,
% 229.76/38.02 | all_1523_0) = v5) | ~
% 229.76/38.02 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1, all_1523_0) =
% 229.76/38.02 | v8) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0,
% 229.76/38.02 | all_1523_0) = v9) | ~
% 229.76/38.02 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v8, v9) = v10) | ~
% 229.76/38.02 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v5) = v6) | ~
% 229.76/38.02 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v6) = v7) | ~
% 229.76/38.02 | (hAPP(v7, v10) = v11) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 229.76/38.02 | $i(v0) | ? [v12: $i] : (hAPP(c_NthRoot_Osqrt, v11) = v12 &
% 229.76/38.02 | $i(v12) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 229.76/38.02 | all_1523_3, v12)))
% 229.76/38.02 |
% 229.76/38.02 | ALPHA: (1000) implies:
% 229.76/38.02 | (1001) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1523_3
% 229.76/38.02 | (1002) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1523_1) =
% 229.76/38.02 | all_1523_0
% 229.76/38.02 | (1003) c_Int_OBit1(c_Int_OPls) = all_1523_2
% 229.76/38.02 | (1004) c_Int_OBit0(all_1523_2) = all_1523_1
% 229.76/38.02 |
% 229.76/38.02 | DELTA: instantiating (264) with fresh symbols all_1526_0, all_1526_1,
% 229.76/38.02 | all_1526_2, all_1526_3, all_1526_4, all_1526_5 gives:
% 229.76/38.02 | (1005) c_Int_OBit0(all_1526_5) = all_1526_4 & c_Int_OBit1(c_Int_OPls) =
% 229.76/38.02 | all_1526_5 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/38.02 | all_1526_4) = all_1526_0 &
% 229.76/38.02 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1526_4) =
% 229.76/38.02 | all_1526_3 & c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,
% 229.76/38.02 | all_1526_3) = all_1526_2 &
% 229.76/38.02 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1526_1 &
% 229.76/38.02 | $i(all_1526_0) & $i(all_1526_1) & $i(all_1526_2) & $i(all_1526_3) &
% 229.76/38.02 | $i(all_1526_4) & $i(all_1526_5) & ! [v0: $i] : ! [v1: $i] : !
% 229.76/38.02 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 229.76/38.02 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0, all_1526_0) =
% 229.76/38.02 | v1) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 229.76/38.02 | all_1526_1, v3) = v4) | ~
% 229.76/38.02 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1526_1, v1) =
% 229.76/38.02 | v2) | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0,
% 229.76/38.02 | v4) = v5) | ~ (hAPP(c_NthRoot_Osqrt, v2) = v3) | ~ $i(v0) |
% 229.76/38.02 | ? [v6: $i] : ? [v7: $i] : (hAPP(all_1526_2, v7) = v6 &
% 229.76/38.02 | hAPP(c_Transcendental_Oarctan, v5) = v7 &
% 229.76/38.02 | hAPP(c_Transcendental_Oarctan, v0) = v6 & $i(v7) & $i(v6)))
% 229.76/38.02 |
% 229.76/38.02 | ALPHA: (1005) implies:
% 229.76/38.02 | (1006) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1526_1
% 229.76/38.02 | (1007) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1526_4) =
% 229.76/38.02 | all_1526_3
% 229.76/38.02 | (1008) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1526_4) =
% 229.76/38.02 | all_1526_0
% 229.76/38.02 | (1009) c_Int_OBit1(c_Int_OPls) = all_1526_5
% 229.76/38.02 | (1010) c_Int_OBit0(all_1526_5) = all_1526_4
% 229.76/38.02 |
% 229.76/38.02 | DELTA: instantiating (110) with fresh symbol all_1529_0 gives:
% 229.76/38.02 | (1011) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1529_0 &
% 229.76/38.02 | $i(all_1529_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/38.02 | $i] : ! [v4: $i] : ! [v5: int] : (v5 = all_1529_0 | ~
% 229.76/38.02 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~
% 229.76/38.02 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v4) | ~
% 229.76/38.02 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3) | ~
% 229.76/38.02 | (hAPP(v3, v4) = v5) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/38.02 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, c_Int_OPls)) & !
% 229.76/38.02 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 229.76/38.02 | ! [v5: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1)
% 229.76/38.02 | = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) =
% 229.76/38.02 | v4) | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3) |
% 229.76/38.02 | ~ (hAPP(v3, v4) = v5) | ~ $i(v1) | ~ $i(v0) |
% 229.76/38.02 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, c_Int_OPls) | ?
% 229.76/38.02 | [v6: $i] : ? [v7: $i] :
% 229.76/38.02 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v7) = v5 &
% 229.76/38.02 | c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1) = v6 & hAPP(v6,
% 229.76/38.02 | v0) = v7 & $i(v7) & $i(v6) & $i(v5)))
% 229.76/38.02 |
% 229.76/38.02 | ALPHA: (1011) implies:
% 229.76/38.02 | (1012) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1529_0
% 229.76/38.02 |
% 229.76/38.02 | DELTA: instantiating (236) with fresh symbols all_1532_0, all_1532_1,
% 229.76/38.02 | all_1532_2 gives:
% 229.76/38.02 | (1013) c_Int_OBit0(all_1532_2) = all_1532_1 & c_Int_OBit1(c_Int_OPls) =
% 229.76/38.02 | all_1532_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/38.02 | all_1532_1) = all_1532_0 & $i(all_1532_0) & $i(all_1532_1) &
% 229.76/38.02 | $i(all_1532_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/38.02 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 229.76/38.02 | [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 229.76/38.02 | (c_Power_Opower__class_Opower(v2, v1, all_1532_0) = v3) | ~
% 229.76/38.02 | (c_Power_Opower__class_Opower(v2, v0, all_1532_0) = v4) | ~
% 229.76/38.02 | (c_Int_Onumber__class_Onumber__of(v2, all_1532_1) = v6) | ~
% 229.76/38.02 | (c_Groups_Oplus__class_Oplus(v2, v5, v10) = v11) | ~
% 229.76/38.02 | (c_Groups_Oplus__class_Oplus(v2, v3, v4) = v5) | ~
% 229.76/38.02 | (c_Groups_Otimes__class_Otimes(v2, v8) = v9) | ~
% 229.76/38.02 | (c_Groups_Otimes__class_Otimes(v2, v6) = v7) | ~ (hAPP(v9, v0) =
% 229.76/38.02 | v10) | ~ (hAPP(v7, v1) = v8) | ~ $i(v2) | ~ $i(v1) | ~
% 229.76/38.02 | $i(v0) | ~ class_Int_Onumber__ring(v2) | ? [v12: $i] :
% 229.76/38.02 | (c_Power_Opower__class_Opower(v2, v12, all_1532_0) = v11 &
% 229.76/38.02 | c_Groups_Oplus__class_Oplus(v2, v1, v0) = v12 & $i(v12) &
% 229.76/38.02 | $i(v11)))
% 229.76/38.02 |
% 229.76/38.02 | ALPHA: (1013) implies:
% 229.76/38.02 | (1014) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1532_1) =
% 229.76/38.02 | all_1532_0
% 229.76/38.02 | (1015) c_Int_OBit1(c_Int_OPls) = all_1532_2
% 229.76/38.02 | (1016) c_Int_OBit0(all_1532_2) = all_1532_1
% 229.76/38.02 |
% 229.76/38.02 | DELTA: instantiating (33) with fresh symbol all_1535_0 gives:
% 229.76/38.02 | (1017) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1535_0 &
% 229.76/38.02 | $i(all_1535_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/38.02 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 229.76/38.02 | [v8: $i] : ! [v9: $i] : ( ~
% 229.76/38.02 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v3) = v5) | ~
% 229.76/38.02 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v2) = v8) | ~
% 229.76/38.02 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v1) = v4) | ~
% 229.76/38.02 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v0) = v7) | ~
% 229.76/38.02 | (hAPP(v7, v8) = v9) | ~ (hAPP(v4, v5) = v6) | ~ $i(v3) | ~
% 229.76/38.02 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/38.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1535_0, v3) |
% 229.76/38.02 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1535_0, v2)
% 229.76/38.02 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v9) | ?
% 229.76/38.02 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] :
% 229.76/38.02 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3) = v12 &
% 229.76/38.02 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) = v10 &
% 229.76/38.02 | hAPP(v12, v0) = v13 & hAPP(v10, v1) = v11 & $i(v13) & $i(v12) &
% 229.76/38.02 | $i(v11) & $i(v10) & ~
% 229.76/38.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v13)))
% 229.76/38.02 |
% 229.76/38.02 | ALPHA: (1017) implies:
% 229.76/38.02 | (1018) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1535_0
% 229.76/38.02 |
% 229.76/38.02 | DELTA: instantiating (34) with fresh symbol all_1538_0 gives:
% 229.76/38.02 | (1019) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1538_0 &
% 229.76/38.02 | $i(all_1538_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/38.02 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 229.76/38.02 | [v8: $i] : ! [v9: $i] : ( ~
% 229.76/38.02 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v3) = v4) | ~
% 229.76/38.02 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v2) = v7) | ~
% 229.76/38.02 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v7) = v8) | ~
% 229.76/38.02 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v4) = v5) | ~
% 229.76/38.02 | (hAPP(v8, v0) = v9) | ~ (hAPP(v5, v1) = v6) | ~ $i(v3) | ~
% 229.76/38.02 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/38.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1538_0, v3) |
% 229.76/38.02 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1538_0, v2)
% 229.76/38.02 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v9) | ?
% 229.76/38.02 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] :
% 229.76/38.02 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v3) = v12 &
% 229.76/38.02 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v2) = v10 &
% 229.76/38.02 | hAPP(v12, v0) = v13 & hAPP(v10, v1) = v11 & $i(v13) & $i(v12) &
% 229.76/38.02 | $i(v11) & $i(v10) & ~
% 229.76/38.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v13)))
% 229.76/38.02 |
% 229.76/38.02 | ALPHA: (1019) implies:
% 229.76/38.02 | (1020) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1538_0
% 229.76/38.02 |
% 229.76/38.02 | DELTA: instantiating (160) with fresh symbol all_1541_0 gives:
% 229.76/38.02 | (1021) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1541_0 &
% 229.76/38.02 | $i(all_1541_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/38.02 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 229.76/38.02 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v5, v4) = v6) | ~
% 229.76/38.02 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v0) = v3) | ~
% 229.76/38.02 | (hAPP(v3, v2) = v4) | ~ (hAPP(v1, v6) = v7) | ~ $i(v5) | ~
% 229.76/38.02 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/38.02 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1541_0, v0) |
% 229.76/38.02 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1541_0, v2) |
% 229.76/38.02 | hBOOL(v7) | ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11:
% 229.76/38.02 | $i] : ? [v12: $i] : ($i(v9) &
% 229.76/38.02 | ((c_Groups_Oplus__class_Oplus(tc_Int_Oint, v9, v2) = v11 &
% 229.76/38.02 | hAPP(v1, v11) = v12 & hAPP(v1, v9) = v10 & $i(v12) & $i(v11)
% 229.76/38.02 | & $i(v10) & hBOOL(v10) & ~ hBOOL(v12)) | (hAPP(v1, v5) = v8
% 229.76/38.02 | & $i(v8) & ~ hBOOL(v8)))))
% 229.76/38.02 |
% 229.76/38.02 | ALPHA: (1021) implies:
% 229.76/38.02 | (1022) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1541_0
% 229.76/38.02 |
% 229.76/38.02 | DELTA: instantiating (178) with fresh symbols all_1544_0, all_1544_1,
% 229.76/38.02 | all_1544_2, all_1544_3 gives:
% 229.76/38.02 | (1023) c_Int_OBit0(all_1544_2) = all_1544_1 & c_Int_OBit1(c_Int_OPls) =
% 229.76/38.02 | all_1544_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 229.76/38.02 | all_1544_1) = all_1544_0 &
% 229.76/38.02 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1544_3 &
% 229.76/38.02 | $i(all_1544_0) & $i(all_1544_1) & $i(all_1544_2) & $i(all_1544_3) &
% 229.76/38.02 | ? [v0: $i] : ! [v1: any] : ! [v2: $i] : (v1 = all_1544_3 | ~
% 229.76/38.02 | (hAPP(c_NthRoot_Osqrt, v1) = v2) | ~ $i(v1) | ~ $i(v0) |
% 229.76/38.02 | c_Deriv_Oderiv(tc_RealDef_Oreal, c_NthRoot_Osqrt, v1, v0) | ?
% 229.76/38.02 | [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 229.76/38.02 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v2) = v3 &
% 229.76/38.02 | $i(v3) & (( ~ (v6 = v0) &
% 229.76/38.02 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v5 &
% 229.76/38.02 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5,
% 229.76/38.02 | all_1544_0) = v6 & $i(v6) & $i(v5) &
% 229.76/38.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 229.76/38.02 | all_1544_3)) | ( ~ (v4 = v0) &
% 229.76/38.02 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v3,
% 229.76/38.02 | all_1544_0) = v4 & $i(v4) &
% 229.76/38.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1544_3,
% 229.76/38.02 | v1)))))
% 229.76/38.02 |
% 229.76/38.02 | ALPHA: (1023) implies:
% 229.76/38.02 | (1024) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1544_3
% 229.76/38.02 | (1025) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1544_1) =
% 229.76/38.02 | all_1544_0
% 229.76/38.02 | (1026) c_Int_OBit1(c_Int_OPls) = all_1544_2
% 229.76/38.02 | (1027) c_Int_OBit0(all_1544_2) = all_1544_1
% 229.76/38.02 |
% 229.76/38.02 | DELTA: instantiating (179) with fresh symbols all_1546_0, all_1546_1,
% 229.76/38.02 | all_1546_2 gives:
% 229.76/38.02 | (1028) c_Int_OBit0(all_1546_2) = all_1546_1 & c_Int_OBit1(c_Int_OPls) =
% 229.76/38.02 | all_1546_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 229.76/38.02 | all_1546_1) = all_1546_0 & $i(all_1546_0) & $i(all_1546_1) &
% 229.76/38.02 | $i(all_1546_2) & ? [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/38.02 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v3 = v2 | ~
% 229.76/38.02 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v2) = v4) | ~
% 229.76/38.02 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v4, all_1546_0)
% 229.76/38.02 | = v5) | ~ (hAPP(v1, v5) = v6) | ~ $i(v3) | ~ $i(v2) | ~
% 229.76/38.02 | $i(v1) | ~ $i(v0) | ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 229.76/38.02 | [v10: $i] : ? [v11: $i] : ($i(v11) & ( ~
% 229.76/38.02 | c_Deriv_Oderiv(tc_RealDef_Oreal, v1, v11, v0) | (v10 = v6 &
% 229.76/38.02 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v7, v8) = v9 &
% 229.76/38.02 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v9,
% 229.76/38.02 | all_1546_0) = v6 & hAPP(v1, v3) = v7 & hAPP(v1, v2) = v8 &
% 229.76/38.02 | $i(v9) & $i(v8) & $i(v7) & $i(v6)))))
% 229.76/38.02 |
% 229.76/38.02 | ALPHA: (1028) implies:
% 229.76/38.02 | (1029) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1546_1) =
% 229.76/38.02 | all_1546_0
% 229.76/38.02 | (1030) c_Int_OBit1(c_Int_OPls) = all_1546_2
% 229.76/38.02 | (1031) c_Int_OBit0(all_1546_2) = all_1546_1
% 229.76/38.02 |
% 229.76/38.02 | DELTA: instantiating (204) with fresh symbols all_1548_0, all_1548_1,
% 229.76/38.02 | all_1548_2, all_1548_3, all_1548_4 gives:
% 229.76/38.02 | (1032) c_Int_OBit0(all_1548_3) = all_1548_2 & c_Int_OBit1(c_Int_OPls) =
% 229.76/38.02 | all_1548_3 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/38.02 | all_1548_2) = all_1548_0 &
% 229.76/38.02 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1548_2) =
% 229.76/38.02 | all_1548_1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 229.76/38.02 | all_1548_4 & $i(all_1548_0) & $i(all_1548_1) & $i(all_1548_2) &
% 229.76/38.02 | $i(all_1548_3) & $i(all_1548_4) & ! [v0: $i] : ! [v1: $i] : !
% 229.76/38.02 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (
% 229.76/38.02 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1, all_1548_0)
% 229.76/38.02 | = v4) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0,
% 229.76/38.02 | all_1548_0) = v5) | ~
% 229.76/38.02 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v5) = v6) | ~
% 229.76/38.02 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, all_1548_1)
% 229.76/38.02 | = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/38.02 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1548_4,
% 229.76/38.02 | v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 229.76/38.02 | all_1548_4, v0) | ~
% 229.76/38.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v3) | ~
% 229.76/38.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | ~
% 229.76/38.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1548_4, v2) |
% 229.76/38.02 | ? [v7: $i] : (hAPP(c_NthRoot_Osqrt, v6) = v7 & $i(v7) &
% 229.76/38.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v2)))
% 229.76/38.02 |
% 229.76/38.02 | ALPHA: (1032) implies:
% 229.76/38.02 | (1033) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1548_4
% 229.76/38.02 | (1034) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1548_2) =
% 229.76/38.02 | all_1548_1
% 229.76/38.02 | (1035) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1548_2) =
% 229.76/38.02 | all_1548_0
% 229.76/38.02 | (1036) c_Int_OBit1(c_Int_OPls) = all_1548_3
% 229.76/38.02 | (1037) c_Int_OBit0(all_1548_3) = all_1548_2
% 229.76/38.02 |
% 229.76/38.02 | DELTA: instantiating (268) with fresh symbols all_1551_0, all_1551_1,
% 229.76/38.02 | all_1551_2, all_1551_3, all_1551_4 gives:
% 229.76/38.02 | (1038) c_Int_OBit0(all_1551_4) = all_1551_3 & c_Int_OBit1(c_Int_OPls) =
% 229.76/38.02 | all_1551_4 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/38.02 | all_1551_3) = all_1551_0 &
% 229.76/38.02 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1551_3) =
% 229.76/38.02 | all_1551_2 & hAPP(c_NthRoot_Osqrt, all_1551_2) = all_1551_1 &
% 229.76/38.02 | $i(all_1551_0) & $i(all_1551_1) & $i(all_1551_2) & $i(all_1551_3) &
% 229.76/38.02 | $i(all_1551_4) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/38.02 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 229.76/38.02 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v2, all_1551_0) =
% 229.76/38.02 | v4) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0,
% 229.76/38.03 | all_1551_0) = v5) | ~
% 229.76/38.03 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v5) = v6) | ~
% 229.76/38.03 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, all_1551_1)
% 229.76/38.03 | = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v7: $i] : ?
% 229.76/38.03 | [v8: $i] : ? [v9: $i] :
% 229.76/38.03 | ((c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v7 & $i(v7) &
% 229.76/38.03 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v3)) |
% 229.76/38.03 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v8 & $i(v8) &
% 229.76/38.03 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v3)) |
% 229.76/38.03 | (hAPP(c_NthRoot_Osqrt, v6) = v9 & $i(v9) &
% 229.76/38.03 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v1))))
% 229.76/38.03 |
% 229.76/38.03 | ALPHA: (1038) implies:
% 229.76/38.03 | (1039) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1551_3) =
% 229.76/38.03 | all_1551_2
% 229.76/38.03 | (1040) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1551_3) =
% 229.76/38.03 | all_1551_0
% 229.76/38.03 | (1041) c_Int_OBit1(c_Int_OPls) = all_1551_4
% 229.76/38.03 | (1042) c_Int_OBit0(all_1551_4) = all_1551_3
% 229.76/38.03 |
% 229.76/38.03 | DELTA: instantiating (163) with fresh symbols all_1554_0, all_1554_1,
% 229.76/38.03 | all_1554_2, all_1554_3 gives:
% 229.76/38.03 | (1043) c_Int_OBit0(all_1554_3) = all_1554_2 & c_Int_OBit1(c_Int_OPls) =
% 229.76/38.03 | all_1554_3 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 229.76/38.03 | all_1554_2) = all_1554_1 &
% 229.76/38.03 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, all_1554_1) =
% 229.76/38.03 | all_1554_0 & $i(all_1554_0) & $i(all_1554_1) & $i(all_1554_2) &
% 229.76/38.03 | $i(all_1554_3) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/38.03 | $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v2 | ~
% 229.76/38.03 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v4) = v5) |
% 229.76/38.03 | ~ (hAPP(all_1554_0, v2) = v3) | ~ (hAPP(all_1554_0, v0) = v4) |
% 229.76/38.03 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] : ( ~ (v6 = v3) &
% 229.76/38.03 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v6 &
% 229.76/38.03 | $i(v6))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 229.76/38.03 | : ! [v4: $i] : ( ~
% 229.76/38.03 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v3) = v2) |
% 229.76/38.03 | ~ (hAPP(all_1554_0, v2) = v4) | ~ (hAPP(all_1554_0, v0) = v3) |
% 229.76/38.03 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 229.76/38.03 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v4 &
% 229.76/38.03 | $i(v4)))
% 229.76/38.03 |
% 229.76/38.03 | ALPHA: (1043) implies:
% 229.76/38.03 | (1044) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1554_2) =
% 229.76/38.03 | all_1554_1
% 229.76/38.03 | (1045) c_Int_OBit1(c_Int_OPls) = all_1554_3
% 229.76/38.03 | (1046) c_Int_OBit0(all_1554_3) = all_1554_2
% 229.76/38.03 |
% 229.76/38.03 | DELTA: instantiating (133) with fresh symbol all_1557_0 gives:
% 229.76/38.03 | (1047) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1557_0 &
% 229.76/38.03 | $i(all_1557_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/38.03 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 229.76/38.03 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3) | ~
% 229.76/38.03 | (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ $i(v2) | ~
% 229.76/38.03 | $i(v1) | ~ $i(v0) | ~
% 229.76/38.03 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5) | ~
% 229.76/38.03 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1557_0, v2) |
% 229.76/38.03 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) & ! [v0:
% 229.76/38.03 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 229.76/38.03 | [v5: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3)
% 229.76/38.03 | | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ $i(v2) | ~
% 229.76/38.03 | $i(v1) | ~ $i(v0) | ~
% 229.76/38.03 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) |
% 229.76/38.03 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5)) & ! [v0:
% 229.76/38.03 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 229.76/38.03 | [v5: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3)
% 229.76/38.03 | | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ $i(v2) | ~
% 229.76/38.03 | $i(v1) | ~ $i(v0) |
% 229.76/38.03 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5) |
% 229.76/38.03 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1557_0, v2))
% 229.76/38.03 |
% 229.76/38.03 | ALPHA: (1047) implies:
% 229.76/38.03 | (1048) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1557_0
% 229.76/38.03 |
% 229.76/38.03 | DELTA: instantiating (149) with fresh symbol all_1560_0 gives:
% 229.76/38.03 | (1049) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1560_0 &
% 229.76/38.03 | $i(all_1560_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/38.03 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 229.76/38.03 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3) | ~
% 229.76/38.03 | (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ $i(v2) | ~
% 229.76/38.03 | $i(v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 229.76/38.03 | v4, v5) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0)) &
% 229.76/38.03 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 229.76/38.03 | ! [v5: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) =
% 229.76/38.03 | v3) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~
% 229.76/38.03 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/38.03 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) |
% 229.76/38.03 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1560_0, v2)) & !
% 229.76/38.03 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 229.76/38.03 | ! [v5: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) =
% 229.76/38.03 | v3) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~
% 229.76/38.03 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/38.03 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ~
% 229.76/38.03 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1560_0, v2) |
% 229.76/38.03 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5))
% 229.76/38.03 |
% 229.76/38.03 | ALPHA: (1049) implies:
% 229.76/38.03 | (1050) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1560_0
% 229.76/38.03 |
% 229.76/38.03 | DELTA: instantiating (154) with fresh symbol all_1563_0 gives:
% 229.76/38.03 | (1051) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1563_0 &
% 229.76/38.03 | $i(all_1563_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/38.03 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 229.76/38.03 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3) | ~
% 229.76/38.03 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0) = v5) | ~
% 229.76/38.03 | (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~
% 229.76/38.03 | $i(v1) | ~ $i(v0) | ~
% 229.76/38.03 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v6) | ~
% 229.76/38.03 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1563_0, v1) |
% 229.76/38.03 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0)) & ! [v0:
% 229.76/38.03 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 229.76/38.03 | [v5: $i] : ! [v6: $i] : ( ~
% 229.76/38.03 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3) | ~
% 229.76/38.03 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0) = v5) | ~
% 229.76/38.03 | (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~
% 229.76/38.03 | $i(v1) | ~ $i(v0) | ~
% 229.76/38.03 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0) |
% 229.76/38.03 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v6)) & ! [v0:
% 229.76/38.03 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 229.76/38.03 | [v5: $i] : ! [v6: $i] : ( ~
% 229.76/38.03 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3) | ~
% 229.76/38.03 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0) = v5) | ~
% 229.76/38.03 | (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~
% 229.76/38.03 | $i(v1) | ~ $i(v0) |
% 229.76/38.03 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v6) |
% 229.76/38.03 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1563_0, v1))
% 229.76/38.03 |
% 229.76/38.03 | ALPHA: (1051) implies:
% 229.76/38.03 | (1052) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1563_0
% 229.76/38.03 |
% 229.76/38.03 | DELTA: instantiating (150) with fresh symbol all_1566_0 gives:
% 229.76/38.03 | (1053) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1566_0 &
% 229.76/38.03 | $i(all_1566_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/38.03 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 229.76/38.03 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3) | ~
% 229.76/38.03 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0) = v5) | ~
% 229.76/38.03 | (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~
% 229.76/38.03 | $i(v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 229.76/38.03 | v4, v6) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0)) &
% 229.76/38.03 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 229.76/38.03 | ! [v5: $i] : ! [v6: $i] : ( ~
% 229.76/38.03 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3) | ~
% 229.76/38.03 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0) = v5) | ~
% 229.76/38.03 | (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~
% 229.76/38.03 | $i(v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 229.76/38.03 | v4, v6) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1566_0,
% 229.76/38.03 | v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] :
% 229.76/38.03 | ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 229.76/38.03 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2) = v3) | ~
% 229.76/38.03 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v0) = v5) | ~
% 229.76/38.03 | (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~
% 229.76/38.03 | $i(v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 229.76/38.03 | v2, v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 229.76/38.03 | all_1566_0, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4,
% 229.76/38.03 | v6))
% 229.76/38.03 |
% 229.76/38.03 | ALPHA: (1053) implies:
% 229.76/38.03 | (1054) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1566_0
% 229.76/38.03 |
% 229.76/38.03 | DELTA: instantiating (246) with fresh symbols all_1569_0, all_1569_1,
% 229.76/38.03 | all_1569_2 gives:
% 229.76/38.03 | (1055) c_Int_OBit0(all_1569_2) = all_1569_1 & c_Int_OBit1(c_Int_OPls) =
% 229.76/38.03 | all_1569_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 229.76/38.03 | all_1569_1) = all_1569_0 & $i(all_1569_0) & $i(all_1569_1) &
% 229.76/38.03 | $i(all_1569_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/38.03 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 229.76/38.03 | [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: $i]
% 229.76/38.03 | : ( ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3,
% 229.76/38.03 | all_1569_0) = v4) | ~
% 229.76/38.03 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v2, all_1569_0) =
% 229.76/38.03 | v8) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1,
% 229.76/38.03 | all_1569_0) = v5) | ~
% 229.76/38.03 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0, all_1569_0) =
% 229.76/38.03 | v9) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v8, v9)
% 229.76/38.03 | = v10) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v7,
% 229.76/38.03 | v11) = v12) | ~
% 229.76/38.03 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v5) = v6) | ~
% 229.76/38.03 | (hAPP(c_NthRoot_Osqrt, v10) = v11) | ~ (hAPP(c_NthRoot_Osqrt, v6)
% 229.76/38.03 | = v7) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v13:
% 229.76/38.03 | $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i]
% 229.76/38.03 | : ? [v18: $i] : (c_Power_Opower__class_Opower(tc_RealDef_Oreal,
% 229.76/38.03 | v15, all_1569_0) = v16 &
% 229.76/38.03 | c_Power_Opower__class_Opower(tc_RealDef_Oreal, v13, all_1569_0)
% 229.76/38.03 | = v14 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v14, v16)
% 229.76/38.03 | = v17 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v2) =
% 229.76/38.03 | v13 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) =
% 229.76/38.03 | v15 & hAPP(c_NthRoot_Osqrt, v17) = v18 & $i(v18) & $i(v17) &
% 229.76/38.03 | $i(v16) & $i(v15) & $i(v14) & $i(v13) &
% 229.76/38.03 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v18, v12)))
% 229.76/38.03 |
% 229.76/38.03 | ALPHA: (1055) implies:
% 229.76/38.03 | (1056) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1569_1) =
% 229.76/38.03 | all_1569_0
% 229.76/38.03 | (1057) c_Int_OBit1(c_Int_OPls) = all_1569_2
% 229.76/38.03 | (1058) c_Int_OBit0(all_1569_2) = all_1569_1
% 229.76/38.03 |
% 229.76/38.03 | DELTA: instantiating (109) with fresh symbol all_1572_0 gives:
% 229.76/38.03 | (1059) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1572_0 &
% 229.76/38.03 | $i(all_1572_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 229.76/38.03 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 229.76/38.03 | [v8: int] : (v8 = all_1572_0 | ~
% 229.76/38.03 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3) | ~
% 229.76/38.03 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v5) | ~
% 229.76/38.03 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v5) = v6) | ~
% 229.76/38.03 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~
% 229.76/38.03 | (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v7) = v8) | ~ $i(v2) | ~
% 229.76/38.03 | $i(v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 229.76/38.03 | v2, c_Int_OPls)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 229.76/38.03 | [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] :
% 229.76/38.03 | ! [v8: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2)
% 229.76/38.03 | = v3) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) =
% 229.76/38.03 | v5) | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v5) = v6) |
% 229.76/38.03 | ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v3) = v4) | ~
% 229.76/38.03 | (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v7) = v8) | ~ $i(v2) | ~
% 229.76/38.03 | $i(v1) | ~ $i(v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 229.76/38.03 | v2, c_Int_OPls) | ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ?
% 229.76/38.03 | [v12: $i] : (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v10) =
% 229.76/38.03 | v11 & c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v11) = v12 &
% 229.76/38.03 | c_Groups_Otimes__class_Otimes(tc_Int_Oint, v2) = v9 & hAPP(v12,
% 229.76/38.03 | v0) = v8 & hAPP(v9, v1) = v10 & $i(v12) & $i(v11) & $i(v10) &
% 229.76/38.03 | $i(v9) & $i(v8)))
% 229.76/38.03 |
% 229.76/38.03 | ALPHA: (1059) implies:
% 229.76/38.03 | (1060) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1572_0
% 229.76/38.03 |
% 229.76/38.03 | DELTA: instantiating (25) with fresh symbol all_1575_0 gives:
% 229.76/38.03 | (1061) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1575_0 &
% 229.76/38.03 | $i(all_1575_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.76/38.03 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v2) |
% 229.76/38.03 | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/38.03 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 229.76/38.03 | all_1575_0) | ~
% 229.76/38.03 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 229.76/38.03 | all_1575_0) |
% 229.76/38.03 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1575_0,
% 229.76/38.03 | v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.76/38.03 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v2) |
% 229.76/38.03 | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/38.03 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 229.76/38.03 | all_1575_0) | ~
% 229.76/38.03 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1575_0,
% 229.76/38.03 | v1) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 229.76/38.03 | all_1575_0, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.76/38.03 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v2) |
% 229.76/38.03 | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/38.03 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 229.76/38.03 | all_1575_0) | ~
% 229.76/38.03 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1575_0,
% 229.76/38.03 | v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 229.76/38.03 | all_1575_0, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.76/38.03 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v2) |
% 229.76/38.03 | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/38.03 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1575_0,
% 229.76/38.03 | v2) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 229.76/38.03 | all_1575_0) |
% 229.76/38.03 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1575_0,
% 229.76/38.03 | v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.76/38.03 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v2) |
% 229.76/38.03 | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/38.03 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1575_0,
% 229.76/38.03 | v2) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 229.76/38.03 | all_1575_0) |
% 229.76/38.03 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1575_0,
% 229.76/38.03 | v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 229.76/38.03 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v2) |
% 229.76/38.03 | ~ $i(v1) | ~ $i(v0) | ~
% 229.76/38.03 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1575_0,
% 229.76/38.03 | v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 229.76/38.03 | all_1575_0, v0) |
% 229.76/38.03 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1575_0,
% 229.76/38.03 | v2))
% 229.76/38.03 |
% 229.76/38.03 | ALPHA: (1061) implies:
% 229.76/38.03 | (1062) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1575_0
% 229.76/38.03 |
% 229.76/38.03 | GROUND_INST: instantiating (289) with all_677_0, all_701_0, tc_RealDef_Oreal,
% 229.76/38.03 | simplifying with (311), (336) gives:
% 229.76/38.03 | (1063) all_701_0 = all_677_0
% 229.76/38.03 |
% 229.76/38.03 | GROUND_INST: instantiating (289) with all_741_1, all_772_0, tc_RealDef_Oreal,
% 229.76/38.03 | simplifying with (362), (375) gives:
% 229.76/38.03 | (1064) all_772_0 = all_741_1
% 229.76/38.03 |
% 229.76/38.03 | GROUND_INST: instantiating (289) with all_701_0, all_772_0, tc_RealDef_Oreal,
% 229.76/38.03 | simplifying with (336), (375) gives:
% 229.76/38.03 | (1065) all_772_0 = all_701_0
% 229.76/38.03 |
% 229.76/38.03 | GROUND_INST: instantiating (289) with all_772_0, all_777_0, tc_RealDef_Oreal,
% 229.76/38.03 | simplifying with (375), (380) gives:
% 229.76/38.03 | (1066) all_777_0 = all_772_0
% 229.76/38.03 |
% 229.76/38.03 | GROUND_INST: instantiating (289) with all_777_0, all_787_1, tc_RealDef_Oreal,
% 229.76/38.03 | simplifying with (380), (389) gives:
% 229.76/38.03 | (1067) all_787_1 = all_777_0
% 229.76/38.03 |
% 229.76/38.03 | GROUND_INST: instantiating (289) with all_787_1, all_815_0, tc_RealDef_Oreal,
% 229.76/38.03 | simplifying with (389), (409) gives:
% 229.76/38.03 | (1068) all_815_0 = all_787_1
% 229.76/38.03 |
% 229.76/38.03 | GROUND_INST: instantiating (289) with all_815_0, all_818_0, tc_RealDef_Oreal,
% 229.76/38.03 | simplifying with (409), (411) gives:
% 229.76/38.03 | (1069) all_818_0 = all_815_0
% 229.76/38.03 |
% 229.76/38.03 | GROUND_INST: instantiating (289) with all_818_0, all_824_0, tc_RealDef_Oreal,
% 229.76/38.03 | simplifying with (411), (415) gives:
% 229.76/38.03 | (1070) all_824_0 = all_818_0
% 229.76/38.03 |
% 229.76/38.03 | GROUND_INST: instantiating (289) with all_824_0, all_861_0, tc_RealDef_Oreal,
% 229.76/38.03 | simplifying with (415), (427) gives:
% 229.76/38.03 | (1071) all_861_0 = all_824_0
% 229.76/38.03 |
% 229.76/38.03 | GROUND_INST: instantiating (289) with all_861_0, all_867_2, tc_RealDef_Oreal,
% 229.76/38.03 | simplifying with (427), (430) gives:
% 229.76/38.03 | (1072) all_867_2 = all_861_0
% 229.76/38.03 |
% 229.76/38.03 | GROUND_INST: instantiating (289) with all_867_2, all_887_0, tc_RealDef_Oreal,
% 229.76/38.03 | simplifying with (430), (437) gives:
% 229.76/38.03 | (1073) all_887_0 = all_867_2
% 229.76/38.03 |
% 229.76/38.03 | GROUND_INST: instantiating (289) with all_928_1, all_937_0, tc_RealDef_Oreal,
% 229.76/38.03 | simplifying with (451), (455) gives:
% 229.76/38.03 | (1074) all_937_0 = all_928_1
% 229.76/38.03 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_937_0, all_943_1, tc_RealDef_Oreal,
% 229.76/38.04 | simplifying with (455), (461) gives:
% 229.76/38.04 | (1075) all_943_1 = all_937_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_943_1, all_952_0, tc_RealDef_Oreal,
% 229.76/38.04 | simplifying with (461), (468) gives:
% 229.76/38.04 | (1076) all_952_0 = all_943_1
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_952_0, all_964_1, tc_RealDef_Oreal,
% 229.76/38.04 | simplifying with (468), (474) gives:
% 229.76/38.04 | (1077) all_964_1 = all_952_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_964_1, all_970_1, tc_RealDef_Oreal,
% 229.76/38.04 | simplifying with (474), (479) gives:
% 229.76/38.04 | (1078) all_970_1 = all_964_1
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_892_0, all_970_1, tc_RealDef_Oreal,
% 229.76/38.04 | simplifying with (439), (479) gives:
% 229.76/38.04 | (1079) all_970_1 = all_892_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_846_0, all_1007_1, tc_RealDef_Oreal,
% 229.76/38.04 | simplifying with (421), (518) gives:
% 229.76/38.04 | (1080) all_1007_1 = all_846_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_895_1, all_1036_1, tc_RealDef_Oreal,
% 229.76/38.04 | simplifying with (441), (544) gives:
% 229.76/38.04 | (1081) all_1036_1 = all_895_1
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_887_0, all_1036_1, tc_RealDef_Oreal,
% 229.76/38.04 | simplifying with (437), (544) gives:
% 229.76/38.04 | (1082) all_1036_1 = all_887_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_703_0, all_1036_1, tc_RealDef_Oreal,
% 229.76/38.04 | simplifying with (338), (544) gives:
% 229.76/38.04 | (1083) all_1036_1 = all_703_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1002_1, all_1039_3,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (509), (547) gives:
% 229.76/38.04 | (1084) all_1039_3 = all_1002_1
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1007_1, all_1041_3,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (518), (551) gives:
% 229.76/38.04 | (1085) all_1041_3 = all_1007_1
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_792_1, all_1041_3, tc_RealDef_Oreal,
% 229.76/38.04 | simplifying with (394), (551) gives:
% 229.76/38.04 | (1086) all_1041_3 = all_792_1
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1039_3, all_1058_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (547), (565) gives:
% 229.76/38.04 | (1087) all_1058_0 = all_1039_3
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1041_3, all_1061_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (551), (567) gives:
% 229.76/38.04 | (1088) all_1061_0 = all_1041_3
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1058_0, all_1070_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (565), (574) gives:
% 229.76/38.04 | (1089) all_1070_0 = all_1058_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1041_3, all_1073_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (551), (576) gives:
% 229.76/38.04 | (1090) all_1073_0 = all_1041_3
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1055_0, all_1079_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (563), (580) gives:
% 229.76/38.04 | (1091) all_1079_0 = all_1055_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_928_1, all_1082_1, tc_RealDef_Oreal,
% 229.76/38.04 | simplifying with (451), (582) gives:
% 229.76/38.04 | (1092) all_1082_1 = all_928_1
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1061_0, all_1085_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (567), (585) gives:
% 229.76/38.04 | (1093) all_1085_0 = all_1061_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1070_0, all_1088_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (574), (587) gives:
% 229.76/38.04 | (1094) all_1088_0 = all_1070_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1085_0, all_1094_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (585), (592) gives:
% 229.76/38.04 | (1095) all_1094_0 = all_1085_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1073_0, all_1124_1,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (576), (626) gives:
% 229.76/38.04 | (1096) all_1124_1 = all_1073_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_701_0, all_1127_4, tc_RealDef_Oreal,
% 229.76/38.04 | simplifying with (336), (629) gives:
% 229.76/38.04 | (1097) all_1127_4 = all_701_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_673_0, all_1127_4, tc_RealDef_Oreal,
% 229.76/38.04 | simplifying with (307), (629) gives:
% 229.76/38.04 | (1098) all_1127_4 = all_673_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_671_0, all_1127_4, tc_RealDef_Oreal,
% 229.76/38.04 | simplifying with (305), (629) gives:
% 229.76/38.04 | (1099) all_1127_4 = all_671_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1109_0, all_1135_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (609), (638) gives:
% 229.76/38.04 | (1100) all_1135_0 = all_1109_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1109_0, all_1153_2,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (609), (651) gives:
% 229.76/38.04 | (1101) all_1153_2 = all_1109_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1106_0, all_1153_2,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (606), (651) gives:
% 229.76/38.04 | (1102) all_1153_2 = all_1106_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1088_0, all_1153_2,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (587), (651) gives:
% 229.76/38.04 | (1103) all_1153_2 = all_1088_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1127_4, all_1174_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (629), (670) gives:
% 229.76/38.04 | (1104) all_1174_0 = all_1127_4
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1153_2, all_1215_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (651), (711) gives:
% 229.76/38.04 | (1105) all_1215_0 = all_1153_2
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1150_0, all_1215_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (649), (711) gives:
% 229.76/38.04 | (1106) all_1215_0 = all_1150_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1156_3, all_1218_1,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (654), (714) gives:
% 229.76/38.04 | (1107) all_1218_1 = all_1156_3
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1135_0, all_1218_1,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (638), (714) gives:
% 229.76/38.04 | (1108) all_1218_1 = all_1135_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1218_1, all_1221_1,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (714), (717) gives:
% 229.76/38.04 | (1109) all_1221_1 = all_1218_1
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1221_1, all_1224_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (717), (720) gives:
% 229.76/38.04 | (1110) all_1224_0 = all_1221_1
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1094_0, all_1227_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (592), (723) gives:
% 229.76/38.04 | (1111) all_1227_0 = all_1094_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1127_4, all_1233_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (629), (726) gives:
% 229.76/38.04 | (1112) all_1233_0 = all_1127_4
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1124_1, all_1242_1,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (626), (730) gives:
% 229.76/38.04 | (1113) all_1242_1 = all_1124_1
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1224_0, all_1254_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (720), (737) gives:
% 229.76/38.04 | (1114) all_1254_0 = all_1224_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1254_0, all_1263_4,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (737), (749) gives:
% 229.76/38.04 | (1115) all_1263_4 = all_1254_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1233_0, all_1269_3,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (726), (758) gives:
% 229.76/38.04 | (1116) all_1269_3 = all_1233_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_679_0, all_1269_3, tc_RealDef_Oreal,
% 229.76/38.04 | simplifying with (313), (758) gives:
% 229.76/38.04 | (1117) all_1269_3 = all_679_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1263_4, all_1272_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (749), (763) gives:
% 229.76/38.04 | (1118) all_1272_0 = all_1263_4
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1242_1, all_1296_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (730), (779) gives:
% 229.76/38.04 | (1119) all_1296_0 = all_1242_1
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_940_0, all_1296_0, tc_RealDef_Oreal,
% 229.76/38.04 | simplifying with (458), (779) gives:
% 229.76/38.04 | (1120) all_1296_0 = all_940_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1227_0, all_1317_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (723), (801) gives:
% 229.76/38.04 | (1121) all_1317_0 = all_1227_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1082_1, all_1332_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (582), (817) gives:
% 229.76/38.04 | (1122) all_1332_0 = all_1082_1
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1317_0, all_1338_3,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (801), (823) gives:
% 229.76/38.04 | (1123) all_1338_3 = all_1317_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1272_0, all_1341_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (763), (828) gives:
% 229.76/38.04 | (1124) all_1341_0 = all_1272_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1332_0, all_1344_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (817), (830) gives:
% 229.76/38.04 | (1125) all_1344_0 = all_1332_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1341_0, all_1352_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (828), (836) gives:
% 229.76/38.04 | (1126) all_1352_0 = all_1341_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1344_0, all_1364_3,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (830), (843) gives:
% 229.76/38.04 | (1127) all_1364_3 = all_1344_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1341_0, all_1376_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (828), (854) gives:
% 229.76/38.04 | (1128) all_1376_0 = all_1341_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1364_3, all_1397_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (843), (877) gives:
% 229.76/38.04 | (1129) all_1397_0 = all_1364_3
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1376_0, all_1421_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (854), (905) gives:
% 229.76/38.04 | (1130) all_1421_0 = all_1376_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1007_1, all_1424_2,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (518), (910) gives:
% 229.76/38.04 | (1131) all_1424_2 = all_1007_1
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_928_1, all_1424_2, tc_RealDef_Oreal,
% 229.76/38.04 | simplifying with (451), (910) gives:
% 229.76/38.04 | (1132) all_1424_2 = all_928_1
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_812_0, all_1424_2, tc_RealDef_Oreal,
% 229.76/38.04 | simplifying with (407), (910) gives:
% 229.76/38.04 | (1133) all_1424_2 = all_812_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_741_1, all_1424_2, tc_RealDef_Oreal,
% 229.76/38.04 | simplifying with (362), (910) gives:
% 229.76/38.04 | (1134) all_1424_2 = all_741_1
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1397_0, all_1427_2,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (877), (914) gives:
% 229.76/38.04 | (1135) all_1427_2 = all_1397_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1427_2, all_1439_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (914), (922) gives:
% 229.76/38.04 | (1136) all_1439_0 = all_1427_2
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1421_0, all_1478_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (905), (952) gives:
% 229.76/38.04 | (1137) all_1478_0 = all_1421_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1311_3, all_1478_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (792), (952) gives:
% 229.76/38.04 | (1138) all_1478_0 = all_1311_3
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1439_0, all_1505_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (922), (980) gives:
% 229.76/38.04 | (1139) all_1505_0 = all_1439_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1352_0, all_1508_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (836), (982) gives:
% 229.76/38.04 | (1140) all_1508_0 = all_1352_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1174_0, all_1511_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (670), (984) gives:
% 229.76/38.04 | (1141) all_1511_0 = all_1174_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_669_0, all_1511_0, tc_RealDef_Oreal,
% 229.76/38.04 | simplifying with (303), (984) gives:
% 229.76/38.04 | (1142) all_1511_0 = all_669_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1409_0, all_1520_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (892), (996) gives:
% 229.76/38.04 | (1143) all_1520_0 = all_1409_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1388_0, all_1520_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (864), (996) gives:
% 229.76/38.04 | (1144) all_1520_0 = all_1388_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1079_0, all_1520_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (580), (996) gives:
% 229.76/38.04 | (1145) all_1520_0 = all_1079_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1064_2, all_1520_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (569), (996) gives:
% 229.76/38.04 | (1146) all_1520_0 = all_1064_2
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1002_1, all_1520_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (509), (996) gives:
% 229.76/38.04 | (1147) all_1520_0 = all_1002_1
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_992_0, all_1520_0, tc_RealDef_Oreal,
% 229.76/38.04 | simplifying with (503), (996) gives:
% 229.76/38.04 | (1148) all_1520_0 = all_992_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_970_1, all_1520_0, tc_RealDef_Oreal,
% 229.76/38.04 | simplifying with (479), (996) gives:
% 229.76/38.04 | (1149) all_1520_0 = all_970_1
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1508_0, all_1523_3,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (982), (1001) gives:
% 229.76/38.04 | (1150) all_1523_3 = all_1508_0
% 229.76/38.04 |
% 229.76/38.04 | GROUND_INST: instantiating (289) with all_1505_0, all_1538_0,
% 229.76/38.04 | tc_RealDef_Oreal, simplifying with (980), (1020) gives:
% 229.76/38.04 | (1151) all_1538_0 = all_1505_0
% 229.76/38.04 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_691_0, all_1538_0, tc_RealDef_Oreal,
% 229.76/38.05 | simplifying with (325), (1020) gives:
% 229.76/38.05 | (1152) all_1538_0 = all_691_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1523_3, all_1544_3,
% 229.76/38.05 | tc_RealDef_Oreal, simplifying with (1001), (1024) gives:
% 229.76/38.05 | (1153) all_1544_3 = all_1523_3
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_967_1, all_1544_3, tc_RealDef_Oreal,
% 229.76/38.05 | simplifying with (477), (1024) gives:
% 229.76/38.05 | (1154) all_1544_3 = all_967_1
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1535_0, all_1548_4,
% 229.76/38.05 | tc_RealDef_Oreal, simplifying with (1018), (1033) gives:
% 229.76/38.05 | (1155) all_1548_4 = all_1535_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1338_3, all_1548_4,
% 229.76/38.05 | tc_RealDef_Oreal, simplifying with (823), (1033) gives:
% 229.76/38.05 | (1156) all_1548_4 = all_1338_3
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1010_0, all_1548_4,
% 229.76/38.05 | tc_RealDef_Oreal, simplifying with (521), (1033) gives:
% 229.76/38.05 | (1157) all_1548_4 = all_1010_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1409_0, all_1575_0,
% 229.76/38.05 | tc_RealDef_Oreal, simplifying with (892), (1062) gives:
% 229.76/38.05 | (1158) all_1575_0 = all_1409_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1101_4, all_1575_0,
% 229.76/38.05 | tc_RealDef_Oreal, simplifying with (599), (1062) gives:
% 229.76/38.05 | (1159) all_1575_0 = all_1101_4
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_695_0, all_697_0, tc_Int_Oint,
% 229.76/38.05 | simplifying with (329), (331) gives:
% 229.76/38.05 | (1160) all_697_0 = all_695_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_695_0, all_738_0, tc_Int_Oint,
% 229.76/38.05 | simplifying with (329), (360) gives:
% 229.76/38.05 | (1161) all_738_0 = all_695_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_685_0, all_738_0, tc_Int_Oint,
% 229.76/38.05 | simplifying with (321), (360) gives:
% 229.76/38.05 | (1162) all_738_0 = all_685_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_738_0, all_758_1, tc_Int_Oint,
% 229.76/38.05 | simplifying with (360), (369) gives:
% 229.76/38.05 | (1163) all_758_1 = all_738_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_758_1, all_763_0, tc_Int_Oint,
% 229.76/38.05 | simplifying with (369), (371) gives:
% 229.76/38.05 | (1164) all_763_0 = all_758_1
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_763_0, all_766_1, tc_Int_Oint,
% 229.76/38.05 | simplifying with (371), (373) gives:
% 229.76/38.05 | (1165) all_766_1 = all_763_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_766_1, all_781_1, tc_Int_Oint,
% 229.76/38.05 | simplifying with (373), (385) gives:
% 229.76/38.05 | (1166) all_781_1 = all_766_1
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_781_1, all_799_1, tc_Int_Oint,
% 229.76/38.05 | simplifying with (385), (401) gives:
% 229.76/38.05 | (1167) all_799_1 = all_781_1
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_705_0, all_799_1, tc_Int_Oint,
% 229.76/38.05 | simplifying with (340), (401) gives:
% 229.76/38.05 | (1168) all_799_1 = all_705_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_697_0, all_837_0, tc_Int_Oint,
% 229.76/38.05 | simplifying with (331), (419) gives:
% 229.76/38.05 | (1169) all_837_0 = all_697_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_837_0, all_907_0, tc_Int_Oint,
% 229.76/38.05 | simplifying with (419), (445) gives:
% 229.76/38.05 | (1170) all_907_0 = all_837_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_907_0, all_913_0, tc_Int_Oint,
% 229.76/38.05 | simplifying with (445), (447) gives:
% 229.76/38.05 | (1171) all_913_0 = all_907_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_913_0, all_949_0, tc_Int_Oint,
% 229.76/38.05 | simplifying with (447), (466) gives:
% 229.76/38.05 | (1172) all_949_0 = all_913_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_949_0, all_961_1, tc_Int_Oint,
% 229.76/38.05 | simplifying with (466), (472) gives:
% 229.76/38.05 | (1173) all_961_1 = all_949_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_961_1, all_976_3, tc_Int_Oint,
% 229.76/38.05 | simplifying with (472), (485) gives:
% 229.76/38.05 | (1174) all_976_3 = all_961_1
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_976_3, all_995_0, tc_Int_Oint,
% 229.76/38.05 | simplifying with (485), (505) gives:
% 229.76/38.05 | (1175) all_995_0 = all_976_3
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_995_0, all_1013_3, tc_Int_Oint,
% 229.76/38.05 | simplifying with (505), (523) gives:
% 229.76/38.05 | (1176) all_1013_3 = all_995_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1013_3, all_1030_0, tc_Int_Oint,
% 229.76/38.05 | simplifying with (523), (540) gives:
% 229.76/38.05 | (1177) all_1030_0 = all_1013_3
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1030_0, all_1049_0, tc_Int_Oint,
% 229.76/38.05 | simplifying with (540), (559) gives:
% 229.76/38.05 | (1178) all_1049_0 = all_1030_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1121_0, all_1147_0, tc_Int_Oint,
% 229.76/38.05 | simplifying with (624), (647) gives:
% 229.76/38.05 | (1179) all_1147_0 = all_1121_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1121_0, all_1168_0, tc_Int_Oint,
% 229.76/38.05 | simplifying with (624), (668) gives:
% 229.76/38.05 | (1180) all_1168_0 = all_1121_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1049_0, all_1168_0, tc_Int_Oint,
% 229.76/38.05 | simplifying with (559), (668) gives:
% 229.76/38.05 | (1181) all_1168_0 = all_1049_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1147_0, all_1200_1, tc_Int_Oint,
% 229.76/38.05 | simplifying with (647), (695) gives:
% 229.76/38.05 | (1182) all_1200_1 = all_1147_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1200_1, all_1206_1, tc_Int_Oint,
% 229.76/38.05 | simplifying with (695), (701) gives:
% 229.76/38.05 | (1183) all_1206_1 = all_1200_1
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1206_1, all_1236_0, tc_Int_Oint,
% 229.76/38.05 | simplifying with (701), (728) gives:
% 229.76/38.05 | (1184) all_1236_0 = all_1206_1
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1305_0, all_1379_0, tc_Int_Oint,
% 229.76/38.05 | simplifying with (788), (856) gives:
% 229.76/38.05 | (1185) all_1379_0 = all_1305_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1281_4, all_1379_0, tc_Int_Oint,
% 229.76/38.05 | simplifying with (768), (856) gives:
% 229.76/38.05 | (1186) all_1379_0 = all_1281_4
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1236_0, all_1379_0, tc_Int_Oint,
% 229.76/38.05 | simplifying with (728), (856) gives:
% 229.76/38.05 | (1187) all_1379_0 = all_1236_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1305_0, all_1385_0, tc_Int_Oint,
% 229.76/38.05 | simplifying with (788), (862) gives:
% 229.76/38.05 | (1188) all_1385_0 = all_1305_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1385_0, all_1433_2, tc_Int_Oint,
% 229.76/38.05 | simplifying with (862), (920) gives:
% 229.76/38.05 | (1189) all_1433_2 = all_1385_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1433_2, all_1457_0, tc_Int_Oint,
% 229.76/38.05 | simplifying with (920), (936) gives:
% 229.76/38.05 | (1190) all_1457_0 = all_1433_2
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1457_0, all_1463_1, tc_Int_Oint,
% 229.76/38.05 | simplifying with (936), (940) gives:
% 229.76/38.05 | (1191) all_1463_1 = all_1457_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1463_1, all_1481_0, tc_Int_Oint,
% 229.76/38.05 | simplifying with (940), (954) gives:
% 229.76/38.05 | (1192) all_1481_0 = all_1463_1
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with c_Int_OPls, all_1481_0, tc_Int_Oint,
% 229.76/38.05 | simplifying with (105), (954) gives:
% 229.76/38.05 | (1193) all_1481_0 = c_Int_OPls
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1168_0, all_1541_0, tc_Int_Oint,
% 229.76/38.05 | simplifying with (668), (1022) gives:
% 229.76/38.05 | (1194) all_1541_0 = all_1168_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1067_0, all_1541_0, tc_Int_Oint,
% 229.76/38.05 | simplifying with (572), (1022) gives:
% 229.76/38.05 | (1195) all_1541_0 = all_1067_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_699_0, all_712_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (333), (348) gives:
% 229.76/38.05 | (1196) all_712_0 = all_699_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_689_0, all_712_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (323), (348) gives:
% 229.76/38.05 | (1197) all_712_0 = all_689_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_712_0, all_719_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (348), (352) gives:
% 229.76/38.05 | (1198) all_719_0 = all_712_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_719_0, all_722_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (352), (354) gives:
% 229.76/38.05 | (1199) all_722_0 = all_719_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_709_0, all_722_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (346), (354) gives:
% 229.76/38.05 | (1200) all_722_0 = all_709_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_719_0, all_726_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (352), (356) gives:
% 229.76/38.05 | (1201) all_726_0 = all_719_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_726_0, all_789_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (356), (392) gives:
% 229.76/38.05 | (1202) all_789_0 = all_726_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_789_0, all_803_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (392), (403) gives:
% 229.76/38.05 | (1203) all_803_0 = all_789_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_789_0, all_831_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (392), (417) gives:
% 229.76/38.05 | (1204) all_831_0 = all_789_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_803_0, all_858_1, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (403), (425) gives:
% 229.76/38.05 | (1205) all_858_1 = all_803_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_831_0, all_934_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (417), (453) gives:
% 229.76/38.05 | (1206) all_934_0 = all_831_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_934_0, all_946_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (453), (464) gives:
% 229.76/38.05 | (1207) all_946_0 = all_934_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1005_3, all_1033_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (513), (542) gives:
% 229.76/38.05 | (1208) all_1033_0 = all_1005_3
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1033_0, all_1043_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (542), (555) gives:
% 229.76/38.05 | (1209) all_1043_0 = all_1033_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_789_0, all_1052_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (392), (561) gives:
% 229.76/38.05 | (1210) all_1052_0 = all_789_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1043_0, all_1141_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (555), (643) gives:
% 229.76/38.05 | (1211) all_1141_0 = all_1043_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1141_0, all_1165_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (643), (666) gives:
% 229.76/38.05 | (1212) all_1165_0 = all_1141_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_946_0, all_1287_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (464), (775) gives:
% 229.76/38.05 | (1213) all_1287_0 = all_946_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_858_1, all_1329_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (425), (815) gives:
% 229.76/38.05 | (1214) all_1329_0 = all_858_1
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_752_0, all_1329_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (365), (815) gives:
% 229.76/38.05 | (1215) all_1329_0 = all_752_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1287_0, all_1355_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (775), (838) gives:
% 229.76/38.05 | (1216) all_1355_0 = all_1287_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1021_0, all_1367_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (532), (848) gives:
% 229.76/38.05 | (1217) all_1367_0 = all_1021_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1287_0, all_1370_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (775), (850) gives:
% 229.76/38.05 | (1218) all_1370_0 = all_1287_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1367_0, all_1373_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (848), (852) gives:
% 229.76/38.05 | (1219) all_1373_0 = all_1367_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1103_0, all_1373_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (604), (852) gives:
% 229.76/38.05 | (1220) all_1373_0 = all_1103_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_805_0, all_1373_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (405), (852) gives:
% 229.76/38.05 | (1221) all_1373_0 = all_805_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_789_0, all_1373_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (392), (852) gives:
% 229.76/38.05 | (1222) all_1373_0 = all_789_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1373_0, all_1403_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (852), (886) gives:
% 229.76/38.05 | (1223) all_1403_0 = all_1373_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1005_3, all_1403_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (513), (886) gives:
% 229.76/38.05 | (1224) all_1403_0 = all_1005_3
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_978_0, all_1403_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (490), (886) gives:
% 229.76/38.05 | (1225) all_1403_0 = all_978_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1052_0, all_1418_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (561), (903) gives:
% 229.76/38.05 | (1226) all_1418_0 = all_1052_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1418_0, all_1430_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (903), (918) gives:
% 229.76/38.05 | (1227) all_1430_0 = all_1418_0
% 229.76/38.05 |
% 229.76/38.05 | GROUND_INST: instantiating (289) with all_1430_0, all_1445_0, tc_Nat_Onat,
% 229.76/38.05 | simplifying with (918), (928) gives:
% 229.76/38.06 | (1228) all_1445_0 = all_1430_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (289) with all_1355_0, all_1454_0, tc_Nat_Onat,
% 229.76/38.06 | simplifying with (838), (934) gives:
% 229.76/38.06 | (1229) all_1454_0 = all_1355_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (289) with all_1165_0, all_1460_0, tc_Nat_Onat,
% 229.76/38.06 | simplifying with (666), (938) gives:
% 229.76/38.06 | (1230) all_1460_0 = all_1165_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (289) with all_1329_0, all_1472_0, tc_Nat_Onat,
% 229.76/38.06 | simplifying with (815), (948) gives:
% 229.76/38.06 | (1231) all_1472_0 = all_1329_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (289) with all_973_0, all_1472_0, tc_Nat_Onat,
% 229.76/38.06 | simplifying with (482), (948) gives:
% 229.76/38.06 | (1232) all_1472_0 = all_973_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (289) with all_1460_0, all_1475_0, tc_Nat_Onat,
% 229.76/38.06 | simplifying with (938), (950) gives:
% 229.76/38.06 | (1233) all_1475_0 = all_1460_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (289) with all_736_0, all_1475_0, tc_Nat_Onat,
% 229.76/38.06 | simplifying with (358), (950) gives:
% 229.76/38.06 | (1234) all_1475_0 = all_736_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (289) with all_1445_0, all_1484_0, tc_Nat_Onat,
% 229.76/38.06 | simplifying with (928), (956) gives:
% 229.76/38.06 | (1235) all_1484_0 = all_1445_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (289) with all_1454_0, all_1493_0, tc_Nat_Onat,
% 229.76/38.06 | simplifying with (934), (966) gives:
% 229.76/38.06 | (1236) all_1493_0 = all_1454_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (289) with all_1493_0, all_1529_0, tc_Nat_Onat,
% 229.76/38.06 | simplifying with (966), (1012) gives:
% 229.76/38.06 | (1237) all_1529_0 = all_1493_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (289) with all_1484_0, all_1557_0, tc_Nat_Onat,
% 229.76/38.06 | simplifying with (956), (1048) gives:
% 229.76/38.06 | (1238) all_1557_0 = all_1484_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (289) with all_1370_0, all_1560_0, tc_Nat_Onat,
% 229.76/38.06 | simplifying with (850), (1050) gives:
% 229.76/38.06 | (1239) all_1560_0 = all_1370_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (289) with all_1144_0, all_1560_0, tc_Nat_Onat,
% 229.76/38.06 | simplifying with (645), (1050) gives:
% 229.76/38.06 | (1240) all_1560_0 = all_1144_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (289) with all_1557_0, all_1563_0, tc_Nat_Onat,
% 229.76/38.06 | simplifying with (1048), (1052) gives:
% 229.76/38.06 | (1241) all_1563_0 = all_1557_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (289) with all_714_0, all_1563_0, tc_Nat_Onat,
% 229.76/38.06 | simplifying with (350), (1052) gives:
% 229.76/38.06 | (1242) all_1563_0 = all_714_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (289) with all_1367_0, all_1566_0, tc_Nat_Onat,
% 229.76/38.06 | simplifying with (848), (1054) gives:
% 229.76/38.06 | (1243) all_1566_0 = all_1367_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (289) with all_1299_0, all_1566_0, tc_Nat_Onat,
% 229.76/38.06 | simplifying with (781), (1054) gives:
% 229.76/38.06 | (1244) all_1566_0 = all_1299_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (289) with all_1529_0, all_1572_0, tc_Nat_Onat,
% 229.76/38.06 | simplifying with (1012), (1060) gives:
% 229.76/38.06 | (1245) all_1572_0 = all_1529_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (289) with all_783_0, all_1572_0, tc_Nat_Onat,
% 229.76/38.06 | simplifying with (387), (1060) gives:
% 229.76/38.06 | (1246) all_1572_0 = all_783_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (297) with all_707_0, all_792_0, v_m____, v_e,
% 229.76/38.06 | tc_RealDef_Oreal, simplifying with (344), (395) gives:
% 229.76/38.06 | (1247) all_792_0 = all_707_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (297) with all_1039_1, all_1041_1, v_m____, v_e,
% 229.76/38.06 | tc_RealDef_Oreal, simplifying with (548), (552) gives:
% 229.76/38.06 | (1248) all_1041_1 = all_1039_1
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (297) with all_792_0, all_1041_1, v_m____, v_e,
% 229.76/38.06 | tc_RealDef_Oreal, simplifying with (395), (552) gives:
% 229.76/38.06 | (1249) all_1041_1 = all_792_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (297) with all_667_0, all_1041_1, v_m____, v_e,
% 229.76/38.06 | tc_RealDef_Oreal, simplifying with (300), (552) gives:
% 229.76/38.06 | (1250) all_1041_1 = all_667_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_876_1, all_901_0, tc_RealDef_Oreal,
% 229.76/38.06 | simplifying with (435), (443) gives:
% 229.76/38.06 | (1251) all_901_0 = all_876_1
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_777_1, all_937_1, tc_RealDef_Oreal,
% 229.76/38.06 | simplifying with (381), (456) gives:
% 229.76/38.06 | (1252) all_937_1 = all_777_1
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_901_0, all_940_1, tc_RealDef_Oreal,
% 229.76/38.06 | simplifying with (443), (459) gives:
% 229.76/38.06 | (1253) all_940_1 = all_901_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_876_1, all_943_0, tc_RealDef_Oreal,
% 229.76/38.06 | simplifying with (435), (462) gives:
% 229.76/38.06 | (1254) all_943_0 = all_876_1
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_777_1, all_943_0, tc_RealDef_Oreal,
% 229.76/38.06 | simplifying with (381), (462) gives:
% 229.76/38.06 | (1255) all_943_0 = all_777_1
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_683_0, all_943_0, tc_RealDef_Oreal,
% 229.76/38.06 | simplifying with (318), (462) gives:
% 229.76/38.06 | (1256) all_943_0 = all_683_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_777_1, all_970_0, tc_RealDef_Oreal,
% 229.76/38.06 | simplifying with (381), (480) gives:
% 229.76/38.06 | (1257) all_970_0 = all_777_1
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_1002_0, all_1007_0,
% 229.76/38.06 | tc_RealDef_Oreal, simplifying with (510), (519) gives:
% 229.76/38.06 | (1258) all_1007_0 = all_1002_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_1027_0, all_1036_0,
% 229.76/38.06 | tc_RealDef_Oreal, simplifying with (538), (545) gives:
% 229.76/38.06 | (1259) all_1036_0 = all_1027_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_1036_0, all_1039_2,
% 229.76/38.06 | tc_RealDef_Oreal, simplifying with (545), (549) gives:
% 229.76/38.06 | (1260) all_1039_2 = all_1036_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_1046_0, all_1064_1,
% 229.76/38.06 | tc_RealDef_Oreal, simplifying with (557), (570) gives:
% 229.76/38.06 | (1261) all_1064_1 = all_1046_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_1064_1, all_1076_0,
% 229.76/38.06 | tc_RealDef_Oreal, simplifying with (570), (578) gives:
% 229.76/38.06 | (1262) all_1076_0 = all_1064_1
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_970_0, all_1082_0, tc_RealDef_Oreal,
% 229.76/38.06 | simplifying with (480), (583) gives:
% 229.76/38.06 | (1263) all_1082_0 = all_970_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_937_1, all_1106_1, tc_RealDef_Oreal,
% 229.76/38.06 | simplifying with (456), (607) gives:
% 229.76/38.06 | (1264) all_1106_1 = all_937_1
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_693_0, all_1106_1, tc_RealDef_Oreal,
% 229.76/38.06 | simplifying with (327), (607) gives:
% 229.76/38.06 | (1265) all_1106_1 = all_693_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_777_1, all_1115_3, tc_RealDef_Oreal,
% 229.76/38.06 | simplifying with (381), (615) gives:
% 229.76/38.06 | (1266) all_1115_3 = all_777_1
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_1099_4, all_1124_0,
% 229.76/38.06 | tc_RealDef_Oreal, simplifying with (594), (627) gives:
% 229.76/38.06 | (1267) all_1124_0 = all_1099_4
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_1027_0, all_1124_0,
% 229.76/38.06 | tc_RealDef_Oreal, simplifying with (538), (627) gives:
% 229.76/38.06 | (1268) all_1124_0 = all_1027_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_1018_0, all_1124_0,
% 229.76/38.06 | tc_RealDef_Oreal, simplifying with (530), (627) gives:
% 229.76/38.06 | (1269) all_1124_0 = all_1018_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_1007_0, all_1124_0,
% 229.76/38.06 | tc_RealDef_Oreal, simplifying with (519), (627) gives:
% 229.76/38.06 | (1270) all_1124_0 = all_1007_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_1046_0, all_1153_1,
% 229.76/38.06 | tc_RealDef_Oreal, simplifying with (557), (652) gives:
% 229.76/38.06 | (1271) all_1153_1 = all_1046_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_1039_2, all_1153_1,
% 229.76/38.06 | tc_RealDef_Oreal, simplifying with (549), (652) gives:
% 229.76/38.06 | (1272) all_1153_1 = all_1039_2
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_1082_0, all_1218_0,
% 229.76/38.06 | tc_RealDef_Oreal, simplifying with (583), (715) gives:
% 229.76/38.06 | (1273) all_1218_0 = all_1082_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_741_0, all_1218_0, tc_RealDef_Oreal,
% 229.76/38.06 | simplifying with (363), (715) gives:
% 229.76/38.06 | (1274) all_1218_0 = all_741_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_1076_0, all_1221_0,
% 229.76/38.06 | tc_RealDef_Oreal, simplifying with (578), (718) gives:
% 229.76/38.06 | (1275) all_1221_0 = all_1076_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_1221_0, all_1227_2,
% 229.76/38.06 | tc_RealDef_Oreal, simplifying with (718), (724) gives:
% 229.76/38.06 | (1276) all_1227_2 = all_1221_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_940_1, all_1242_0, tc_RealDef_Oreal,
% 229.76/38.06 | simplifying with (459), (731) gives:
% 229.76/38.06 | (1277) all_1242_0 = all_940_1
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_787_0, all_1242_0, tc_RealDef_Oreal,
% 229.76/38.06 | simplifying with (390), (731) gives:
% 229.76/38.06 | (1278) all_1242_0 = all_787_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_1153_1, all_1272_1,
% 229.76/38.06 | tc_RealDef_Oreal, simplifying with (652), (764) gives:
% 229.76/38.06 | (1279) all_1272_1 = all_1153_1
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_1041_2, all_1272_1,
% 229.76/38.06 | tc_RealDef_Oreal, simplifying with (553), (764) gives:
% 229.76/38.06 | (1280) all_1272_1 = all_1041_2
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_1215_1, all_1302_3,
% 229.76/38.06 | tc_RealDef_Oreal, simplifying with (712), (783) gives:
% 229.76/38.06 | (1281) all_1302_3 = all_1215_1
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_1002_0, all_1302_3,
% 229.76/38.06 | tc_RealDef_Oreal, simplifying with (510), (783) gives:
% 229.76/38.06 | (1282) all_1302_3 = all_1002_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_964_0, all_1302_3, tc_RealDef_Oreal,
% 229.76/38.06 | simplifying with (475), (783) gives:
% 229.76/38.06 | (1283) all_1302_3 = all_964_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_943_0, all_1302_3, tc_RealDef_Oreal,
% 229.76/38.06 | simplifying with (462), (783) gives:
% 229.76/38.06 | (1284) all_1302_3 = all_943_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_1115_3, all_1412_0,
% 229.76/38.06 | tc_RealDef_Oreal, simplifying with (615), (894) gives:
% 229.76/38.06 | (1285) all_1412_0 = all_1115_3
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_675_0, all_1412_0, tc_RealDef_Oreal,
% 229.76/38.06 | simplifying with (309), (894) gives:
% 229.76/38.06 | (1286) all_1412_0 = all_675_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_1227_2, all_1424_1,
% 229.76/38.06 | tc_RealDef_Oreal, simplifying with (724), (911) gives:
% 229.76/38.06 | (1287) all_1424_1 = all_1227_2
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_1272_1, all_1427_1,
% 229.76/38.06 | tc_RealDef_Oreal, simplifying with (764), (915) gives:
% 229.76/38.06 | (1288) all_1427_1 = all_1272_1
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_1224_2, all_1427_1,
% 229.76/38.06 | tc_RealDef_Oreal, simplifying with (721), (915) gives:
% 229.76/38.06 | (1289) all_1427_1 = all_1224_2
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_1424_1, all_1526_1,
% 229.76/38.06 | tc_RealDef_Oreal, simplifying with (911), (1006) gives:
% 229.76/38.06 | (1290) all_1526_1 = all_1424_1
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (290) with all_821_0, all_1526_1, tc_RealDef_Oreal,
% 229.76/38.06 | simplifying with (413), (1006) gives:
% 229.76/38.06 | (1291) all_1526_1 = all_821_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (294) with all_775_1, all_867_1, v_d____,
% 229.76/38.06 | tc_RealDef_Oreal, simplifying with (378), (431) gives:
% 229.76/38.06 | (1292) all_867_1 = all_775_1
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (291) with all_849_0, all_869_0, c_Int_OPls,
% 229.76/38.06 | simplifying with (423), (433) gives:
% 229.76/38.06 | (1293) all_869_0 = all_849_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (291) with all_869_0, all_916_0, c_Int_OPls,
% 229.76/38.06 | simplifying with (433), (449) gives:
% 229.76/38.06 | (1294) all_916_0 = all_869_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (291) with all_916_0, all_976_2, c_Int_OPls,
% 229.76/38.06 | simplifying with (449), (487) gives:
% 229.76/38.06 | (1295) all_976_2 = all_916_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (291) with all_976_2, all_981_0, c_Int_OPls,
% 229.76/38.06 | simplifying with (487), (492) gives:
% 229.76/38.06 | (1296) all_981_0 = all_976_2
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (291) with all_986_0, all_1005_2, c_Int_OPls,
% 229.76/38.06 | simplifying with (499), (515) gives:
% 229.76/38.06 | (1297) all_1005_2 = all_986_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (291) with all_1005_2, all_1101_3, c_Int_OPls,
% 229.76/38.06 | simplifying with (515), (601) gives:
% 229.76/38.06 | (1298) all_1101_3 = all_1005_2
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (291) with all_1101_3, all_1112_2, c_Int_OPls,
% 229.76/38.06 | simplifying with (601), (612) gives:
% 229.76/38.06 | (1299) all_1112_2 = all_1101_3
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (291) with all_1112_2, all_1115_2, c_Int_OPls,
% 229.76/38.06 | simplifying with (612), (617) gives:
% 229.76/38.06 | (1300) all_1115_2 = all_1112_2
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (291) with all_1115_2, all_1129_3, c_Int_OPls,
% 229.76/38.06 | simplifying with (617), (635) gives:
% 229.76/38.06 | (1301) all_1129_3 = all_1115_2
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (291) with all_1127_3, all_1159_2, c_Int_OPls,
% 229.76/38.06 | simplifying with (631), (660) gives:
% 229.76/38.06 | (1302) all_1159_2 = all_1127_3
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (291) with all_1159_2, all_1162_1, c_Int_OPls,
% 229.76/38.06 | simplifying with (660), (663) gives:
% 229.76/38.06 | (1303) all_1162_1 = all_1159_2
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (291) with all_1129_3, all_1177_1, c_Int_OPls,
% 229.76/38.06 | simplifying with (635), (672) gives:
% 229.76/38.06 | (1304) all_1177_1 = all_1129_3
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (291) with all_1177_1, all_1180_2, c_Int_OPls,
% 229.76/38.06 | simplifying with (672), (676) gives:
% 229.76/38.06 | (1305) all_1180_2 = all_1177_1
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (291) with all_1180_2, all_1194_0, c_Int_OPls,
% 229.76/38.06 | simplifying with (676), (689) gives:
% 229.76/38.06 | (1306) all_1194_0 = all_1180_2
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (291) with all_1194_0, all_1197_2, c_Int_OPls,
% 229.76/38.06 | simplifying with (689), (692) gives:
% 229.76/38.06 | (1307) all_1197_2 = all_1194_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (291) with all_1197_2, all_1254_3, c_Int_OPls,
% 229.76/38.06 | simplifying with (692), (739) gives:
% 229.76/38.06 | (1308) all_1254_3 = all_1197_2
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (291) with all_1138_1, all_1260_1, c_Int_OPls,
% 229.76/38.06 | simplifying with (640), (746) gives:
% 229.76/38.06 | (1309) all_1260_1 = all_1138_1
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (291) with all_1118_2, all_1266_2, c_Int_OPls,
% 229.76/38.06 | simplifying with (621), (755) gives:
% 229.76/38.06 | (1310) all_1266_2 = all_1118_2
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (291) with all_1260_1, all_1293_0, c_Int_OPls,
% 229.76/38.06 | simplifying with (746), (777) gives:
% 229.76/38.06 | (1311) all_1293_0 = all_1260_1
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (291) with all_1257_2, all_1302_2, c_Int_OPls,
% 229.76/38.06 | simplifying with (743), (785) gives:
% 229.76/38.06 | (1312) all_1302_2 = all_1257_2
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (291) with all_1118_2, all_1302_2, c_Int_OPls,
% 229.76/38.06 | simplifying with (621), (785) gives:
% 229.76/38.06 | (1313) all_1302_2 = all_1118_2
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (291) with all_1254_3, all_1311_2, c_Int_OPls,
% 229.76/38.06 | simplifying with (739), (794) gives:
% 229.76/38.06 | (1314) all_1311_2 = all_1254_3
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (291) with all_1281_3, all_1314_2, c_Int_OPls,
% 229.76/38.06 | simplifying with (770), (798) gives:
% 229.76/38.06 | (1315) all_1314_2 = all_1281_3
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (291) with all_1013_2, all_1314_2, c_Int_OPls,
% 229.76/38.06 | simplifying with (524), (798) gives:
% 229.76/38.06 | (1316) all_1314_2 = all_1013_2
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (291) with all_955_0, all_1320_2, c_Int_OPls,
% 229.76/38.06 | simplifying with (470), (804) gives:
% 229.76/38.06 | (1317) all_1320_2 = all_955_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (291) with all_1284_0, all_1335_2, c_Int_OPls,
% 229.76/38.06 | simplifying with (773), (820) gives:
% 229.76/38.06 | (1318) all_1335_2 = all_1284_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (291) with all_1308_0, all_1338_2, c_Int_OPls,
% 229.76/38.06 | simplifying with (790), (825) gives:
% 229.76/38.06 | (1319) all_1338_2 = all_1308_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (291) with all_1263_3, all_1338_2, c_Int_OPls,
% 229.76/38.06 | simplifying with (751), (825) gives:
% 229.76/38.06 | (1320) all_1338_2 = all_1263_3
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (291) with all_986_0, all_1338_2, c_Int_OPls,
% 229.76/38.06 | simplifying with (499), (825) gives:
% 229.76/38.06 | (1321) all_1338_2 = all_986_0
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (291) with all_984_1, all_1338_2, c_Int_OPls,
% 229.76/38.06 | simplifying with (496), (825) gives:
% 229.76/38.06 | (1322) all_1338_2 = all_984_1
% 229.76/38.06 |
% 229.76/38.06 | GROUND_INST: instantiating (291) with all_981_0, all_1338_2, c_Int_OPls,
% 229.76/38.06 | simplifying with (492), (825) gives:
% 229.76/38.07 | (1323) all_1338_2 = all_981_0
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1302_2, all_1358_1, c_Int_OPls,
% 229.76/38.07 | simplifying with (785), (840) gives:
% 229.76/38.07 | (1324) all_1358_1 = all_1302_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1127_3, all_1358_1, c_Int_OPls,
% 229.76/38.07 | simplifying with (631), (840) gives:
% 229.76/38.07 | (1325) all_1358_1 = all_1127_3
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1091_1, all_1358_1, c_Int_OPls,
% 229.76/38.07 | simplifying with (589), (840) gives:
% 229.76/38.07 | (1326) all_1358_1 = all_1091_1
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1005_2, all_1358_1, c_Int_OPls,
% 229.76/38.07 | simplifying with (515), (840) gives:
% 229.76/38.07 | (1327) all_1358_1 = all_1005_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1335_2, all_1364_2, c_Int_OPls,
% 229.76/38.07 | simplifying with (820), (845) gives:
% 229.76/38.07 | (1328) all_1364_2 = all_1335_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1326_2, all_1364_2, c_Int_OPls,
% 229.76/38.07 | simplifying with (812), (845) gives:
% 229.76/38.07 | (1329) all_1364_2 = all_1326_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1302_2, all_1364_2, c_Int_OPls,
% 229.76/38.07 | simplifying with (785), (845) gives:
% 229.76/38.07 | (1330) all_1364_2 = all_1302_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1269_2, all_1364_2, c_Int_OPls,
% 229.76/38.07 | simplifying with (760), (845) gives:
% 229.76/38.07 | (1331) all_1364_2 = all_1269_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1260_1, all_1364_2, c_Int_OPls,
% 229.76/38.07 | simplifying with (746), (845) gives:
% 229.76/38.07 | (1332) all_1364_2 = all_1260_1
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1320_2, all_1382_2, c_Int_OPls,
% 229.76/38.07 | simplifying with (804), (859) gives:
% 229.76/38.07 | (1333) all_1382_2 = all_1320_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1281_3, all_1388_3, c_Int_OPls,
% 229.76/38.07 | simplifying with (770), (866) gives:
% 229.76/38.07 | (1334) all_1388_3 = all_1281_3
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1188_2, all_1388_3, c_Int_OPls,
% 229.76/38.07 | simplifying with (682), (866) gives:
% 229.76/38.07 | (1335) all_1388_3 = all_1188_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1162_1, all_1388_3, c_Int_OPls,
% 229.76/38.07 | simplifying with (663), (866) gives:
% 229.76/38.07 | (1336) all_1388_3 = all_1162_1
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1024_2, all_1394_3, c_Int_OPls,
% 229.76/38.07 | simplifying with (535), (874) gives:
% 229.76/38.07 | (1337) all_1394_3 = all_1024_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1323_3, all_1397_3, c_Int_OPls,
% 229.76/38.07 | simplifying with (808), (879) gives:
% 229.76/38.07 | (1338) all_1397_3 = all_1323_3
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1212_2, all_1397_3, c_Int_OPls,
% 229.76/38.07 | simplifying with (708), (879) gives:
% 229.76/38.07 | (1339) all_1397_3 = all_1212_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_989_0, all_1397_3, c_Int_OPls,
% 229.76/38.07 | simplifying with (501), (879) gives:
% 229.76/38.07 | (1340) all_1397_3 = all_989_0
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1302_2, all_1400_2, c_Int_OPls,
% 229.76/38.07 | simplifying with (785), (883) gives:
% 229.76/38.07 | (1341) all_1400_2 = all_1302_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1320_2, all_1406_3, c_Int_OPls,
% 229.76/38.07 | simplifying with (804), (889) gives:
% 229.76/38.07 | (1342) all_1406_3 = all_1320_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1024_2, all_1406_3, c_Int_OPls,
% 229.76/38.07 | simplifying with (535), (889) gives:
% 229.76/38.07 | (1343) all_1406_3 = all_1024_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1412_3, all_1442_3, c_Int_OPls,
% 229.76/38.07 | simplifying with (896), (925) gives:
% 229.76/38.07 | (1344) all_1442_3 = all_1412_3
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1347_2, all_1442_3, c_Int_OPls,
% 229.76/38.07 | simplifying with (833), (925) gives:
% 229.76/38.07 | (1345) all_1442_3 = all_1347_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1293_0, all_1442_3, c_Int_OPls,
% 229.76/38.07 | simplifying with (777), (925) gives:
% 229.76/38.07 | (1346) all_1442_3 = all_1293_0
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1245_2, all_1442_3, c_Int_OPls,
% 229.76/38.07 | simplifying with (734), (925) gives:
% 229.76/38.07 | (1347) all_1442_3 = all_1245_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1266_2, all_1448_2, c_Int_OPls,
% 229.76/38.07 | simplifying with (755), (930) gives:
% 229.76/38.07 | (1348) all_1448_2 = all_1266_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_998_0, all_1448_2, c_Int_OPls,
% 229.76/38.07 | simplifying with (507), (930) gives:
% 229.76/38.07 | (1349) all_1448_2 = all_998_0
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1394_3, all_1451_0, c_Int_OPls,
% 229.76/38.07 | simplifying with (874), (932) gives:
% 229.76/38.07 | (1350) all_1451_0 = all_1394_3
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_681_0, all_1451_0, c_Int_OPls,
% 229.76/38.07 | simplifying with (315), (932) gives:
% 229.76/38.07 | (1351) all_1451_0 = all_681_0
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1311_2, all_1466_1, c_Int_OPls,
% 229.76/38.07 | simplifying with (794), (942) gives:
% 229.76/38.07 | (1352) all_1466_1 = all_1311_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_755_0, all_1466_1, c_Int_OPls,
% 229.76/38.07 | simplifying with (367), (942) gives:
% 229.76/38.07 | (1353) all_1466_1 = all_755_0
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1448_2, all_1469_3, c_Int_OPls,
% 229.76/38.07 | simplifying with (930), (945) gives:
% 229.76/38.07 | (1354) all_1469_3 = all_1448_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1406_3, all_1487_2, c_Int_OPls,
% 229.76/38.07 | simplifying with (889), (959) gives:
% 229.76/38.07 | (1355) all_1487_2 = all_1406_3
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1183_0, all_1487_2, c_Int_OPls,
% 229.76/38.07 | simplifying with (679), (959) gives:
% 229.76/38.07 | (1356) all_1487_2 = all_1183_0
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1335_2, all_1490_2, c_Int_OPls,
% 229.76/38.07 | simplifying with (820), (963) gives:
% 229.76/38.07 | (1357) all_1490_2 = all_1335_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1397_3, all_1496_2, c_Int_OPls,
% 229.76/38.07 | simplifying with (879), (969) gives:
% 229.76/38.07 | (1358) all_1496_2 = all_1397_3
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1391_2, all_1496_2, c_Int_OPls,
% 229.76/38.07 | simplifying with (870), (969) gives:
% 229.76/38.07 | (1359) all_1496_2 = all_1391_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1400_2, all_1499_2, c_Int_OPls,
% 229.76/38.07 | simplifying with (883), (973) gives:
% 229.76/38.07 | (1360) all_1499_2 = all_1400_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1326_2, all_1502_2, c_Int_OPls,
% 229.76/38.07 | simplifying with (812), (977) gives:
% 229.76/38.07 | (1361) all_1502_2 = all_1326_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1308_0, all_1514_7, c_Int_OPls,
% 229.76/38.07 | simplifying with (790), (988) gives:
% 229.76/38.07 | (1362) all_1514_7 = all_1308_0
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1382_2, all_1517_4, c_Int_OPls,
% 229.76/38.07 | simplifying with (859), (993) gives:
% 229.76/38.07 | (1363) all_1517_4 = all_1382_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1209_2, all_1517_4, c_Int_OPls,
% 229.76/38.07 | simplifying with (704), (993) gives:
% 229.76/38.07 | (1364) all_1517_4 = all_1209_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1502_2, all_1520_3, c_Int_OPls,
% 229.76/38.07 | simplifying with (977), (998) gives:
% 229.76/38.07 | (1365) all_1520_3 = all_1502_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1364_2, all_1523_2, c_Int_OPls,
% 229.76/38.07 | simplifying with (845), (1003) gives:
% 229.76/38.07 | (1366) all_1523_2 = all_1364_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1275_0, all_1523_2, c_Int_OPls,
% 229.76/38.07 | simplifying with (766), (1003) gives:
% 229.76/38.07 | (1367) all_1523_2 = all_1275_0
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1469_3, all_1526_5, c_Int_OPls,
% 229.76/38.07 | simplifying with (945), (1009) gives:
% 229.76/38.07 | (1368) all_1526_5 = all_1469_3
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1421_3, all_1526_5, c_Int_OPls,
% 229.76/38.07 | simplifying with (907), (1009) gives:
% 229.76/38.07 | (1369) all_1526_5 = all_1421_3
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1499_2, all_1532_2, c_Int_OPls,
% 229.76/38.07 | simplifying with (973), (1015) gives:
% 229.76/38.07 | (1370) all_1532_2 = all_1499_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1099_3, all_1532_2, c_Int_OPls,
% 229.76/38.07 | simplifying with (596), (1015) gives:
% 229.76/38.07 | (1371) all_1532_2 = all_1099_3
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1448_2, all_1544_2, c_Int_OPls,
% 229.76/38.07 | simplifying with (930), (1026) gives:
% 229.76/38.07 | (1372) all_1544_2 = all_1448_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1415_3, all_1544_2, c_Int_OPls,
% 229.76/38.07 | simplifying with (900), (1026) gives:
% 229.76/38.07 | (1373) all_1544_2 = all_1415_3
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1406_3, all_1546_2, c_Int_OPls,
% 229.76/38.07 | simplifying with (889), (1030) gives:
% 229.76/38.07 | (1374) all_1546_2 = all_1406_3
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1212_2, all_1546_2, c_Int_OPls,
% 229.76/38.07 | simplifying with (708), (1030) gives:
% 229.76/38.07 | (1375) all_1546_2 = all_1212_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1191_2, all_1546_2, c_Int_OPls,
% 229.76/38.07 | simplifying with (686), (1030) gives:
% 229.76/38.07 | (1376) all_1546_2 = all_1191_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_849_0, all_1546_2, c_Int_OPls,
% 229.76/38.07 | simplifying with (423), (1030) gives:
% 229.76/38.07 | (1377) all_1546_2 = all_849_0
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_779_1, all_1546_2, c_Int_OPls,
% 229.76/38.07 | simplifying with (383), (1030) gives:
% 229.76/38.07 | (1378) all_1546_2 = all_779_1
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1490_2, all_1548_3, c_Int_OPls,
% 229.76/38.07 | simplifying with (963), (1036) gives:
% 229.76/38.07 | (1379) all_1548_3 = all_1490_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1514_7, all_1551_4, c_Int_OPls,
% 229.76/38.07 | simplifying with (988), (1041) gives:
% 229.76/38.07 | (1380) all_1551_4 = all_1514_7
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1156_2, all_1551_4, c_Int_OPls,
% 229.76/38.07 | simplifying with (656), (1041) gives:
% 229.76/38.07 | (1381) all_1551_4 = all_1156_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1520_3, all_1554_3, c_Int_OPls,
% 229.76/38.07 | simplifying with (998), (1045) gives:
% 229.76/38.07 | (1382) all_1554_3 = all_1520_3
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1015_2, all_1554_3, c_Int_OPls,
% 229.76/38.07 | simplifying with (527), (1045) gives:
% 229.76/38.07 | (1383) all_1554_3 = all_1015_2
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1548_3, all_1569_2, c_Int_OPls,
% 229.76/38.07 | simplifying with (1036), (1057) gives:
% 229.76/38.07 | (1384) all_1569_2 = all_1548_3
% 229.76/38.07 |
% 229.76/38.07 | GROUND_INST: instantiating (291) with all_1203_2, all_1569_2, c_Int_OPls,
% 229.76/38.07 | simplifying with (698), (1057) gives:
% 229.76/38.07 | (1385) all_1569_2 = all_1203_2
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1158), (1159) imply:
% 229.76/38.07 | (1386) all_1409_0 = all_1101_4
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1386) implies:
% 229.76/38.07 | (1387) all_1409_0 = all_1101_4
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1245), (1246) imply:
% 229.76/38.07 | (1388) all_1529_0 = all_783_0
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1388) implies:
% 229.76/38.07 | (1389) all_1529_0 = all_783_0
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1384), (1385) imply:
% 229.76/38.07 | (1390) all_1548_3 = all_1203_2
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1390) implies:
% 229.76/38.07 | (1391) all_1548_3 = all_1203_2
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1243), (1244) imply:
% 229.76/38.07 | (1392) all_1367_0 = all_1299_0
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1392) implies:
% 229.76/38.07 | (1393) all_1367_0 = all_1299_0
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1241), (1242) imply:
% 229.76/38.07 | (1394) all_1557_0 = all_714_0
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1394) implies:
% 229.76/38.07 | (1395) all_1557_0 = all_714_0
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1239), (1240) imply:
% 229.76/38.07 | (1396) all_1370_0 = all_1144_0
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1396) implies:
% 229.76/38.07 | (1397) all_1370_0 = all_1144_0
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1238), (1395) imply:
% 229.76/38.07 | (1398) all_1484_0 = all_714_0
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1398) implies:
% 229.76/38.07 | (1399) all_1484_0 = all_714_0
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1382), (1383) imply:
% 229.76/38.07 | (1400) all_1520_3 = all_1015_2
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1400) implies:
% 229.76/38.07 | (1401) all_1520_3 = all_1015_2
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1380), (1381) imply:
% 229.76/38.07 | (1402) all_1514_7 = all_1156_2
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1402) implies:
% 229.76/38.07 | (1403) all_1514_7 = all_1156_2
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1379), (1391) imply:
% 229.76/38.07 | (1404) all_1490_2 = all_1203_2
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1404) implies:
% 229.76/38.07 | (1405) all_1490_2 = all_1203_2
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1155), (1156) imply:
% 229.76/38.07 | (1406) all_1535_0 = all_1338_3
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1155), (1157) imply:
% 229.76/38.07 | (1407) all_1535_0 = all_1010_0
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1374), (1376) imply:
% 229.76/38.07 | (1408) all_1406_3 = all_1191_2
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1408) implies:
% 229.76/38.07 | (1409) all_1406_3 = all_1191_2
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1375), (1376) imply:
% 229.76/38.07 | (1410) all_1212_2 = all_1191_2
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1410) implies:
% 229.76/38.07 | (1411) all_1212_2 = all_1191_2
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1376), (1378) imply:
% 229.76/38.07 | (1412) all_1191_2 = all_779_1
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1376), (1377) imply:
% 229.76/38.07 | (1413) all_1191_2 = all_849_0
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1372), (1373) imply:
% 229.76/38.07 | (1414) all_1448_2 = all_1415_3
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1414) implies:
% 229.76/38.07 | (1415) all_1448_2 = all_1415_3
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1153), (1154) imply:
% 229.76/38.07 | (1416) all_1523_3 = all_967_1
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1416) implies:
% 229.76/38.07 | (1417) all_1523_3 = all_967_1
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1194), (1195) imply:
% 229.76/38.07 | (1418) all_1168_0 = all_1067_0
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1418) implies:
% 229.76/38.07 | (1419) all_1168_0 = all_1067_0
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1151), (1152) imply:
% 229.76/38.07 | (1420) all_1505_0 = all_691_0
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1420) implies:
% 229.76/38.07 | (1421) all_1505_0 = all_691_0
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1406), (1407) imply:
% 229.76/38.07 | (1422) all_1338_3 = all_1010_0
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1422) implies:
% 229.76/38.07 | (1423) all_1338_3 = all_1010_0
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1370), (1371) imply:
% 229.76/38.07 | (1424) all_1499_2 = all_1099_3
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1424) implies:
% 229.76/38.07 | (1425) all_1499_2 = all_1099_3
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1237), (1389) imply:
% 229.76/38.07 | (1426) all_1493_0 = all_783_0
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1426) implies:
% 229.76/38.07 | (1427) all_1493_0 = all_783_0
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1290), (1291) imply:
% 229.76/38.07 | (1428) all_1424_1 = all_821_0
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1428) implies:
% 229.76/38.07 | (1429) all_1424_1 = all_821_0
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1368), (1369) imply:
% 229.76/38.07 | (1430) all_1469_3 = all_1421_3
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1430) implies:
% 229.76/38.07 | (1431) all_1469_3 = all_1421_3
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1366), (1367) imply:
% 229.76/38.07 | (1432) all_1364_2 = all_1275_0
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1432) implies:
% 229.76/38.07 | (1433) all_1364_2 = all_1275_0
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1150), (1417) imply:
% 229.76/38.07 | (1434) all_1508_0 = all_967_1
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1434) implies:
% 229.76/38.07 | (1435) all_1508_0 = all_967_1
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1143), (1144) imply:
% 229.76/38.07 | (1436) all_1409_0 = all_1388_0
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1436) implies:
% 229.76/38.07 | (1437) all_1409_0 = all_1388_0
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1144), (1145) imply:
% 229.76/38.07 | (1438) all_1388_0 = all_1079_0
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1144), (1149) imply:
% 229.76/38.07 | (1439) all_1388_0 = all_970_1
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1144), (1148) imply:
% 229.76/38.07 | (1440) all_1388_0 = all_992_0
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1144), (1147) imply:
% 229.76/38.07 | (1441) all_1388_0 = all_1002_1
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1144), (1146) imply:
% 229.76/38.07 | (1442) all_1388_0 = all_1064_2
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1365), (1401) imply:
% 229.76/38.07 | (1443) all_1502_2 = all_1015_2
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1443) implies:
% 229.76/38.07 | (1444) all_1502_2 = all_1015_2
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1363), (1364) imply:
% 229.76/38.07 | (1445) all_1382_2 = all_1209_2
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1445) implies:
% 229.76/38.07 | (1446) all_1382_2 = all_1209_2
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1362), (1403) imply:
% 229.76/38.07 | (1447) all_1308_0 = all_1156_2
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1447) implies:
% 229.76/38.07 | (1448) all_1308_0 = all_1156_2
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1141), (1142) imply:
% 229.76/38.07 | (1449) all_1174_0 = all_669_0
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1449) implies:
% 229.76/38.07 | (1450) all_1174_0 = all_669_0
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1140), (1435) imply:
% 229.76/38.07 | (1451) all_1352_0 = all_967_1
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1451) implies:
% 229.76/38.07 | (1452) all_1352_0 = all_967_1
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1139), (1421) imply:
% 229.76/38.07 | (1453) all_1439_0 = all_691_0
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1453) implies:
% 229.76/38.07 | (1454) all_1439_0 = all_691_0
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1361), (1444) imply:
% 229.76/38.07 | (1455) all_1326_2 = all_1015_2
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1455) implies:
% 229.76/38.07 | (1456) all_1326_2 = all_1015_2
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1360), (1425) imply:
% 229.76/38.07 | (1457) all_1400_2 = all_1099_3
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1457) implies:
% 229.76/38.07 | (1458) all_1400_2 = all_1099_3
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1358), (1359) imply:
% 229.76/38.07 | (1459) all_1397_3 = all_1391_2
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1459) implies:
% 229.76/38.07 | (1460) all_1397_3 = all_1391_2
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1236), (1427) imply:
% 229.76/38.07 | (1461) all_1454_0 = all_783_0
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1461) implies:
% 229.76/38.07 | (1462) all_1454_0 = all_783_0
% 229.76/38.07 |
% 229.76/38.07 | COMBINE_EQS: (1357), (1405) imply:
% 229.76/38.07 | (1463) all_1335_2 = all_1203_2
% 229.76/38.07 |
% 229.76/38.07 | SIMP: (1463) implies:
% 229.76/38.07 | (1464) all_1335_2 = all_1203_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1355), (1356) imply:
% 229.76/38.08 | (1465) all_1406_3 = all_1183_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1465) implies:
% 229.76/38.08 | (1466) all_1406_3 = all_1183_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1235), (1399) imply:
% 229.76/38.08 | (1467) all_1445_0 = all_714_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1467) implies:
% 229.76/38.08 | (1468) all_1445_0 = all_714_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1192), (1193) imply:
% 229.76/38.08 | (1469) all_1463_1 = c_Int_OPls
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1469) implies:
% 229.76/38.08 | (1470) all_1463_1 = c_Int_OPls
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1137), (1138) imply:
% 229.76/38.08 | (1471) all_1421_0 = all_1311_3
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1471) implies:
% 229.76/38.08 | (1472) all_1421_0 = all_1311_3
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1233), (1234) imply:
% 229.76/38.08 | (1473) all_1460_0 = all_736_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1473) implies:
% 229.76/38.08 | (1474) all_1460_0 = all_736_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1231), (1232) imply:
% 229.76/38.08 | (1475) all_1329_0 = all_973_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1475) implies:
% 229.76/38.08 | (1476) all_1329_0 = all_973_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1354), (1431) imply:
% 229.76/38.08 | (1477) all_1448_2 = all_1421_3
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1477) implies:
% 229.76/38.08 | (1478) all_1448_2 = all_1421_3
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1352), (1353) imply:
% 229.76/38.08 | (1479) all_1311_2 = all_755_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1479) implies:
% 229.76/38.08 | (1480) all_1311_2 = all_755_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1191), (1470) imply:
% 229.76/38.08 | (1481) all_1457_0 = c_Int_OPls
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1481) implies:
% 229.76/38.08 | (1482) all_1457_0 = c_Int_OPls
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1230), (1474) imply:
% 229.76/38.08 | (1483) all_1165_0 = all_736_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1483) implies:
% 229.76/38.08 | (1484) all_1165_0 = all_736_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1190), (1482) imply:
% 229.76/38.08 | (1485) all_1433_2 = c_Int_OPls
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1485) implies:
% 229.76/38.08 | (1486) all_1433_2 = c_Int_OPls
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1229), (1462) imply:
% 229.76/38.08 | (1487) all_1355_0 = all_783_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1487) implies:
% 229.76/38.08 | (1488) all_1355_0 = all_783_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1350), (1351) imply:
% 229.76/38.08 | (1489) all_1394_3 = all_681_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1489) implies:
% 229.76/38.08 | (1490) all_1394_3 = all_681_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1349), (1478) imply:
% 229.76/38.08 | (1491) all_1421_3 = all_998_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1415), (1478) imply:
% 229.76/38.08 | (1492) all_1421_3 = all_1415_3
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1348), (1478) imply:
% 229.76/38.08 | (1493) all_1421_3 = all_1266_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1228), (1468) imply:
% 229.76/38.08 | (1494) all_1430_0 = all_714_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1494) implies:
% 229.76/38.08 | (1495) all_1430_0 = all_714_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1344), (1347) imply:
% 229.76/38.08 | (1496) all_1412_3 = all_1245_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1344), (1346) imply:
% 229.76/38.08 | (1497) all_1412_3 = all_1293_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1344), (1345) imply:
% 229.76/38.08 | (1498) all_1412_3 = all_1347_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1136), (1454) imply:
% 229.76/38.08 | (1499) all_1427_2 = all_691_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1499) implies:
% 229.76/38.08 | (1500) all_1427_2 = all_691_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1189), (1486) imply:
% 229.76/38.08 | (1501) all_1385_0 = c_Int_OPls
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1501) implies:
% 229.76/38.08 | (1502) all_1385_0 = c_Int_OPls
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1227), (1495) imply:
% 229.76/38.08 | (1503) all_1418_0 = all_714_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1503) implies:
% 229.76/38.08 | (1504) all_1418_0 = all_714_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1288), (1289) imply:
% 229.76/38.08 | (1505) all_1272_1 = all_1224_2
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1505) implies:
% 229.76/38.08 | (1506) all_1272_1 = all_1224_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1135), (1500) imply:
% 229.76/38.08 | (1507) all_1397_0 = all_691_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1507) implies:
% 229.76/38.08 | (1508) all_1397_0 = all_691_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1287), (1429) imply:
% 229.76/38.08 | (1509) all_1227_2 = all_821_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1509) implies:
% 229.76/38.08 | (1510) all_1227_2 = all_821_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1132), (1133) imply:
% 229.76/38.08 | (1511) all_928_1 = all_812_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1511) implies:
% 229.76/38.08 | (1512) all_928_1 = all_812_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1131), (1133) imply:
% 229.76/38.08 | (1513) all_1007_1 = all_812_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1513) implies:
% 229.76/38.08 | (1514) all_1007_1 = all_812_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1133), (1134) imply:
% 229.76/38.08 | (1515) all_812_0 = all_741_1
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1130), (1472) imply:
% 229.76/38.08 | (1516) all_1376_0 = all_1311_3
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1516) implies:
% 229.76/38.08 | (1517) all_1376_0 = all_1311_3
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1492), (1493) imply:
% 229.76/38.08 | (1518) all_1415_3 = all_1266_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1491), (1492) imply:
% 229.76/38.08 | (1519) all_1415_3 = all_998_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1226), (1504) imply:
% 229.76/38.08 | (1520) all_1052_0 = all_714_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1520) implies:
% 229.76/38.08 | (1521) all_1052_0 = all_714_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1518), (1519) imply:
% 229.76/38.08 | (1522) all_1266_2 = all_998_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1522) implies:
% 229.76/38.08 | (1523) all_1266_2 = all_998_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1285), (1286) imply:
% 229.76/38.08 | (1524) all_1115_3 = all_675_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1524) implies:
% 229.76/38.08 | (1525) all_1115_3 = all_675_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1497), (1498) imply:
% 229.76/38.08 | (1526) all_1347_2 = all_1293_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1496), (1498) imply:
% 229.76/38.08 | (1527) all_1347_2 = all_1245_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1387), (1437) imply:
% 229.76/38.08 | (1528) all_1388_0 = all_1101_4
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1528) implies:
% 229.76/38.08 | (1529) all_1388_0 = all_1101_4
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1343), (1466) imply:
% 229.76/38.08 | (1530) all_1183_0 = all_1024_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1342), (1466) imply:
% 229.76/38.08 | (1531) all_1320_2 = all_1183_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1531) implies:
% 229.76/38.08 | (1532) all_1320_2 = all_1183_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1409), (1466) imply:
% 229.76/38.08 | (1533) all_1191_2 = all_1183_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1533) implies:
% 229.76/38.08 | (1534) all_1191_2 = all_1183_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1224), (1225) imply:
% 229.76/38.08 | (1535) all_1005_3 = all_978_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1535) implies:
% 229.76/38.08 | (1536) all_1005_3 = all_978_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1223), (1225) imply:
% 229.76/38.08 | (1537) all_1373_0 = all_978_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1537) implies:
% 229.76/38.08 | (1538) all_1373_0 = all_978_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1341), (1458) imply:
% 229.76/38.08 | (1539) all_1302_2 = all_1099_3
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1539) implies:
% 229.76/38.08 | (1540) all_1302_2 = all_1099_3
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1129), (1508) imply:
% 229.76/38.08 | (1541) all_1364_3 = all_691_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1541) implies:
% 229.76/38.08 | (1542) all_1364_3 = all_691_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1338), (1460) imply:
% 229.76/38.08 | (1543) all_1391_2 = all_1323_3
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1340), (1460) imply:
% 229.76/38.08 | (1544) all_1391_2 = all_989_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1339), (1460) imply:
% 229.76/38.08 | (1545) all_1391_2 = all_1212_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1337), (1490) imply:
% 229.76/38.08 | (1546) all_1024_2 = all_681_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1546) implies:
% 229.76/38.08 | (1547) all_1024_2 = all_681_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1543), (1544) imply:
% 229.76/38.08 | (1548) all_1323_3 = all_989_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1543), (1545) imply:
% 229.76/38.08 | (1549) all_1323_3 = all_1212_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1439), (1529) imply:
% 229.76/38.08 | (1550) all_1101_4 = all_970_1
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1440), (1529) imply:
% 229.76/38.08 | (1551) all_1101_4 = all_992_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1441), (1529) imply:
% 229.76/38.08 | (1552) all_1101_4 = all_1002_1
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1442), (1529) imply:
% 229.76/38.08 | (1553) all_1101_4 = all_1064_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1438), (1529) imply:
% 229.76/38.08 | (1554) all_1101_4 = all_1079_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1334), (1335) imply:
% 229.76/38.08 | (1555) all_1281_3 = all_1188_2
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1555) implies:
% 229.76/38.08 | (1556) all_1281_3 = all_1188_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1335), (1336) imply:
% 229.76/38.08 | (1557) all_1188_2 = all_1162_1
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1188), (1502) imply:
% 229.76/38.08 | (1558) all_1305_0 = c_Int_OPls
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1558) implies:
% 229.76/38.08 | (1559) all_1305_0 = c_Int_OPls
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1333), (1446) imply:
% 229.76/38.08 | (1560) all_1320_2 = all_1209_2
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1560) implies:
% 229.76/38.08 | (1561) all_1320_2 = all_1209_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1185), (1186) imply:
% 229.76/38.08 | (1562) all_1305_0 = all_1281_4
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1562) implies:
% 229.76/38.08 | (1563) all_1305_0 = all_1281_4
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1186), (1187) imply:
% 229.76/38.08 | (1564) all_1281_4 = all_1236_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1128), (1517) imply:
% 229.76/38.08 | (1565) all_1341_0 = all_1311_3
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1565) implies:
% 229.76/38.08 | (1566) all_1341_0 = all_1311_3
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1219), (1220) imply:
% 229.76/38.08 | (1567) all_1367_0 = all_1103_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1567) implies:
% 229.76/38.08 | (1568) all_1367_0 = all_1103_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1220), (1221) imply:
% 229.76/38.08 | (1569) all_1103_0 = all_805_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1220), (1222) imply:
% 229.76/38.08 | (1570) all_1103_0 = all_789_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1220), (1538) imply:
% 229.76/38.08 | (1571) all_1103_0 = all_978_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1218), (1397) imply:
% 229.76/38.08 | (1572) all_1287_0 = all_1144_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1572) implies:
% 229.76/38.08 | (1573) all_1287_0 = all_1144_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1217), (1393) imply:
% 229.76/38.08 | (1574) all_1299_0 = all_1021_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1393), (1568) imply:
% 229.76/38.08 | (1575) all_1299_0 = all_1103_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1332), (1433) imply:
% 229.76/38.08 | (1576) all_1275_0 = all_1260_1
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1330), (1433) imply:
% 229.76/38.08 | (1577) all_1302_2 = all_1275_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1577) implies:
% 229.76/38.08 | (1578) all_1302_2 = all_1275_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1329), (1433) imply:
% 229.76/38.08 | (1579) all_1326_2 = all_1275_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1579) implies:
% 229.76/38.08 | (1580) all_1326_2 = all_1275_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1328), (1433) imply:
% 229.76/38.08 | (1581) all_1335_2 = all_1275_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1581) implies:
% 229.76/38.08 | (1582) all_1335_2 = all_1275_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1331), (1433) imply:
% 229.76/38.08 | (1583) all_1275_0 = all_1269_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1127), (1542) imply:
% 229.76/38.08 | (1584) all_1344_0 = all_691_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1584) implies:
% 229.76/38.08 | (1585) all_1344_0 = all_691_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1324), (1326) imply:
% 229.76/38.08 | (1586) all_1302_2 = all_1091_1
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1586) implies:
% 229.76/38.08 | (1587) all_1302_2 = all_1091_1
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1326), (1327) imply:
% 229.76/38.08 | (1588) all_1091_1 = all_1005_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1325), (1326) imply:
% 229.76/38.08 | (1589) all_1127_3 = all_1091_1
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1589) implies:
% 229.76/38.08 | (1590) all_1127_3 = all_1091_1
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1216), (1488) imply:
% 229.76/38.08 | (1591) all_1287_0 = all_783_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1591) implies:
% 229.76/38.08 | (1592) all_1287_0 = all_783_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1126), (1452) imply:
% 229.76/38.08 | (1593) all_1341_0 = all_967_1
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1593) implies:
% 229.76/38.08 | (1594) all_1341_0 = all_967_1
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1526), (1527) imply:
% 229.76/38.08 | (1595) all_1293_0 = all_1245_2
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1595) implies:
% 229.76/38.08 | (1596) all_1293_0 = all_1245_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1125), (1585) imply:
% 229.76/38.08 | (1597) all_1332_0 = all_691_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1597) implies:
% 229.76/38.08 | (1598) all_1332_0 = all_691_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1124), (1566) imply:
% 229.76/38.08 | (1599) all_1311_3 = all_1272_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1566), (1594) imply:
% 229.76/38.08 | (1600) all_1311_3 = all_967_1
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1320), (1322) imply:
% 229.76/38.08 | (1601) all_1263_3 = all_984_1
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1320), (1321) imply:
% 229.76/38.08 | (1602) all_1263_3 = all_986_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1319), (1320) imply:
% 229.76/38.08 | (1603) all_1308_0 = all_1263_3
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1603) implies:
% 229.76/38.08 | (1604) all_1308_0 = all_1263_3
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1320), (1323) imply:
% 229.76/38.08 | (1605) all_1263_3 = all_981_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1123), (1423) imply:
% 229.76/38.08 | (1606) all_1317_0 = all_1010_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1606) implies:
% 229.76/38.08 | (1607) all_1317_0 = all_1010_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1318), (1582) imply:
% 229.76/38.08 | (1608) all_1284_0 = all_1275_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1318), (1464) imply:
% 229.76/38.08 | (1609) all_1284_0 = all_1203_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1122), (1598) imply:
% 229.76/38.08 | (1610) all_1082_1 = all_691_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1610) implies:
% 229.76/38.08 | (1611) all_1082_1 = all_691_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1215), (1476) imply:
% 229.76/38.08 | (1612) all_973_0 = all_752_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1214), (1476) imply:
% 229.76/38.08 | (1613) all_973_0 = all_858_1
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1456), (1580) imply:
% 229.76/38.08 | (1614) all_1275_0 = all_1015_2
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1614) implies:
% 229.76/38.08 | (1615) all_1275_0 = all_1015_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1548), (1549) imply:
% 229.76/38.08 | (1616) all_1212_2 = all_989_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1616) implies:
% 229.76/38.08 | (1617) all_1212_2 = all_989_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1532), (1561) imply:
% 229.76/38.08 | (1618) all_1209_2 = all_1183_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1317), (1561) imply:
% 229.76/38.08 | (1619) all_1209_2 = all_955_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1121), (1607) imply:
% 229.76/38.08 | (1620) all_1227_0 = all_1010_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1620) implies:
% 229.76/38.08 | (1621) all_1227_0 = all_1010_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1315), (1316) imply:
% 229.76/38.08 | (1622) all_1281_3 = all_1013_2
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1622) implies:
% 229.76/38.08 | (1623) all_1281_3 = all_1013_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1314), (1480) imply:
% 229.76/38.08 | (1624) all_1254_3 = all_755_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1624) implies:
% 229.76/38.08 | (1625) all_1254_3 = all_755_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1599), (1600) imply:
% 229.76/38.08 | (1626) all_1272_0 = all_967_1
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1626) implies:
% 229.76/38.08 | (1627) all_1272_0 = all_967_1
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1448), (1604) imply:
% 229.76/38.08 | (1628) all_1263_3 = all_1156_2
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1628) implies:
% 229.76/38.08 | (1629) all_1263_3 = all_1156_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1559), (1563) imply:
% 229.76/38.08 | (1630) all_1281_4 = c_Int_OPls
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1630) implies:
% 229.76/38.08 | (1631) all_1281_4 = c_Int_OPls
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1312), (1578) imply:
% 229.76/38.08 | (1632) all_1275_0 = all_1257_2
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1632) implies:
% 229.76/38.08 | (1633) all_1275_0 = all_1257_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1312), (1313) imply:
% 229.76/38.08 | (1634) all_1257_2 = all_1118_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1312), (1540) imply:
% 229.76/38.08 | (1635) all_1257_2 = all_1099_3
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1312), (1587) imply:
% 229.76/38.08 | (1636) all_1257_2 = all_1091_1
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1281), (1284) imply:
% 229.76/38.08 | (1637) all_1215_1 = all_943_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1281), (1282) imply:
% 229.76/38.08 | (1638) all_1215_1 = all_1002_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1281), (1283) imply:
% 229.76/38.08 | (1639) all_1215_1 = all_964_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1574), (1575) imply:
% 229.76/38.08 | (1640) all_1103_0 = all_1021_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1640) implies:
% 229.76/38.08 | (1641) all_1103_0 = all_1021_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1119), (1120) imply:
% 229.76/38.08 | (1642) all_1242_1 = all_940_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1642) implies:
% 229.76/38.08 | (1643) all_1242_1 = all_940_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1311), (1596) imply:
% 229.76/38.08 | (1644) all_1260_1 = all_1245_2
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1644) implies:
% 229.76/38.08 | (1645) all_1260_1 = all_1245_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1573), (1592) imply:
% 229.76/38.08 | (1646) all_1144_0 = all_783_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1213), (1573) imply:
% 229.76/38.08 | (1647) all_1144_0 = all_946_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1608), (1609) imply:
% 229.76/38.08 | (1648) all_1275_0 = all_1203_2
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1648) implies:
% 229.76/38.08 | (1649) all_1275_0 = all_1203_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1556), (1623) imply:
% 229.76/38.08 | (1650) all_1188_2 = all_1013_2
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1650) implies:
% 229.76/38.08 | (1651) all_1188_2 = all_1013_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1564), (1631) imply:
% 229.76/38.08 | (1652) all_1236_0 = c_Int_OPls
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1652) implies:
% 229.76/38.08 | (1653) all_1236_0 = c_Int_OPls
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1576), (1583) imply:
% 229.76/38.08 | (1654) all_1269_2 = all_1260_1
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1583), (1649) imply:
% 229.76/38.08 | (1655) all_1269_2 = all_1203_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1583), (1633) imply:
% 229.76/38.08 | (1656) all_1269_2 = all_1257_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1583), (1615) imply:
% 229.76/38.08 | (1657) all_1269_2 = all_1015_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1118), (1627) imply:
% 229.76/38.08 | (1658) all_1263_4 = all_967_1
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1658) implies:
% 229.76/38.08 | (1659) all_1263_4 = all_967_1
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1280), (1506) imply:
% 229.76/38.08 | (1660) all_1224_2 = all_1041_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1279), (1506) imply:
% 229.76/38.08 | (1661) all_1224_2 = all_1153_1
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1654), (1655) imply:
% 229.76/38.08 | (1662) all_1260_1 = all_1203_2
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1662) implies:
% 229.76/38.08 | (1663) all_1260_1 = all_1203_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1655), (1656) imply:
% 229.76/38.08 | (1664) all_1257_2 = all_1203_2
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1664) implies:
% 229.76/38.08 | (1665) all_1257_2 = all_1203_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1655), (1657) imply:
% 229.76/38.08 | (1666) all_1203_2 = all_1015_2
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1116), (1117) imply:
% 229.76/38.08 | (1667) all_1233_0 = all_679_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1667) implies:
% 229.76/38.08 | (1668) all_1233_0 = all_679_0
% 229.76/38.08 |
% 229.76/38.08 | COMBINE_EQS: (1310), (1523) imply:
% 229.76/38.08 | (1669) all_1118_2 = all_998_0
% 229.76/38.08 |
% 229.76/38.08 | SIMP: (1669) implies:
% 229.76/38.08 | (1670) all_1118_2 = all_998_0
% 229.76/38.08 |
% 229.76/38.09 | COMBINE_EQS: (1605), (1629) imply:
% 229.76/38.09 | (1671) all_1156_2 = all_981_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1602), (1629) imply:
% 229.76/38.09 | (1672) all_1156_2 = all_986_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1601), (1629) imply:
% 229.76/38.09 | (1673) all_1156_2 = all_984_1
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1115), (1659) imply:
% 229.76/38.09 | (1674) all_1254_0 = all_967_1
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1674) implies:
% 229.76/38.09 | (1675) all_1254_0 = all_967_1
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1309), (1645) imply:
% 229.76/38.09 | (1676) all_1245_2 = all_1138_1
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1645), (1663) imply:
% 229.76/38.09 | (1677) all_1245_2 = all_1203_2
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1634), (1635) imply:
% 229.76/38.09 | (1678) all_1118_2 = all_1099_3
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1678) implies:
% 229.76/38.09 | (1679) all_1118_2 = all_1099_3
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1635), (1636) imply:
% 229.76/38.09 | (1680) all_1099_3 = all_1091_1
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1635), (1665) imply:
% 229.76/38.09 | (1681) all_1203_2 = all_1099_3
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1681) implies:
% 229.76/38.09 | (1682) all_1203_2 = all_1099_3
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1114), (1675) imply:
% 229.76/38.09 | (1683) all_1224_0 = all_967_1
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1683) implies:
% 229.76/38.09 | (1684) all_1224_0 = all_967_1
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1308), (1625) imply:
% 229.76/38.09 | (1685) all_1197_2 = all_755_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1685) implies:
% 229.76/38.09 | (1686) all_1197_2 = all_755_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1676), (1677) imply:
% 229.76/38.09 | (1687) all_1203_2 = all_1138_1
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1687) implies:
% 229.76/38.09 | (1688) all_1203_2 = all_1138_1
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1277), (1278) imply:
% 229.76/38.09 | (1689) all_940_1 = all_787_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1689) implies:
% 229.76/38.09 | (1690) all_940_1 = all_787_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1113), (1643) imply:
% 229.76/38.09 | (1691) all_1124_1 = all_940_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1691) implies:
% 229.76/38.09 | (1692) all_1124_1 = all_940_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1184), (1653) imply:
% 229.76/38.09 | (1693) all_1206_1 = c_Int_OPls
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1693) implies:
% 229.76/38.09 | (1694) all_1206_1 = c_Int_OPls
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1112), (1668) imply:
% 229.76/38.09 | (1695) all_1127_4 = all_679_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1695) implies:
% 229.76/38.09 | (1696) all_1127_4 = all_679_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1111), (1621) imply:
% 229.76/38.09 | (1697) all_1094_0 = all_1010_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1697) implies:
% 229.76/38.09 | (1698) all_1094_0 = all_1010_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1276), (1510) imply:
% 229.76/38.09 | (1699) all_1221_0 = all_821_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1699) implies:
% 229.76/38.09 | (1700) all_1221_0 = all_821_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1110), (1684) imply:
% 229.76/38.09 | (1701) all_1221_1 = all_967_1
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1701) implies:
% 229.76/38.09 | (1702) all_1221_1 = all_967_1
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1660), (1661) imply:
% 229.76/38.09 | (1703) all_1153_1 = all_1041_2
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1703) implies:
% 229.76/38.09 | (1704) all_1153_1 = all_1041_2
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1275), (1700) imply:
% 229.76/38.09 | (1705) all_1076_0 = all_821_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1705) implies:
% 229.76/38.09 | (1706) all_1076_0 = all_821_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1109), (1702) imply:
% 229.76/38.09 | (1707) all_1218_1 = all_967_1
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1707) implies:
% 229.76/38.09 | (1708) all_1218_1 = all_967_1
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1273), (1274) imply:
% 229.76/38.09 | (1709) all_1082_0 = all_741_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1709) implies:
% 229.76/38.09 | (1710) all_1082_0 = all_741_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1107), (1108) imply:
% 229.76/38.09 | (1711) all_1156_3 = all_1135_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1107), (1708) imply:
% 229.76/38.09 | (1712) all_1156_3 = all_967_1
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1105), (1106) imply:
% 229.76/38.09 | (1713) all_1153_2 = all_1150_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1713) implies:
% 229.76/38.09 | (1714) all_1153_2 = all_1150_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1637), (1639) imply:
% 229.76/38.09 | (1715) all_964_0 = all_943_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1638), (1639) imply:
% 229.76/38.09 | (1716) all_1002_0 = all_964_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1716) implies:
% 229.76/38.09 | (1717) all_1002_0 = all_964_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1411), (1617) imply:
% 229.76/38.09 | (1718) all_1191_2 = all_989_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1718) implies:
% 229.76/38.09 | (1719) all_1191_2 = all_989_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1618), (1619) imply:
% 229.76/38.09 | (1720) all_1183_0 = all_955_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1720) implies:
% 229.76/38.09 | (1721) all_1183_0 = all_955_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1183), (1694) imply:
% 229.76/38.09 | (1722) all_1200_1 = c_Int_OPls
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1722) implies:
% 229.76/38.09 | (1723) all_1200_1 = c_Int_OPls
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1666), (1688) imply:
% 229.76/38.09 | (1724) all_1138_1 = all_1015_2
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1682), (1688) imply:
% 229.76/38.09 | (1725) all_1138_1 = all_1099_3
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1182), (1723) imply:
% 229.76/38.09 | (1726) all_1147_0 = c_Int_OPls
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1726) implies:
% 229.76/38.09 | (1727) all_1147_0 = c_Int_OPls
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1307), (1686) imply:
% 229.76/38.09 | (1728) all_1194_0 = all_755_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1728) implies:
% 229.76/38.09 | (1729) all_1194_0 = all_755_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1306), (1729) imply:
% 229.76/38.09 | (1730) all_1180_2 = all_755_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1730) implies:
% 229.76/38.09 | (1731) all_1180_2 = all_755_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1412), (1719) imply:
% 229.76/38.09 | (1732) all_989_0 = all_779_1
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1413), (1719) imply:
% 229.76/38.09 | (1733) all_989_0 = all_849_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1534), (1719) imply:
% 229.76/38.09 | (1734) all_1183_0 = all_989_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1734) implies:
% 229.76/38.09 | (1735) all_1183_0 = all_989_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1557), (1651) imply:
% 229.76/38.09 | (1736) all_1162_1 = all_1013_2
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1736) implies:
% 229.76/38.09 | (1737) all_1162_1 = all_1013_2
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1530), (1721) imply:
% 229.76/38.09 | (1738) all_1024_2 = all_955_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1738) implies:
% 229.76/38.09 | (1739) all_1024_2 = all_955_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1721), (1735) imply:
% 229.76/38.09 | (1740) all_989_0 = all_955_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1740) implies:
% 229.76/38.09 | (1741) all_989_0 = all_955_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1305), (1731) imply:
% 229.76/38.09 | (1742) all_1177_1 = all_755_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1742) implies:
% 229.76/38.09 | (1743) all_1177_1 = all_755_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1304), (1743) imply:
% 229.76/38.09 | (1744) all_1129_3 = all_755_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1744) implies:
% 229.76/38.09 | (1745) all_1129_3 = all_755_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1104), (1450) imply:
% 229.76/38.09 | (1746) all_1127_4 = all_669_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1746) implies:
% 229.76/38.09 | (1747) all_1127_4 = all_669_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1181), (1419) imply:
% 229.76/38.09 | (1748) all_1067_0 = all_1049_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1180), (1419) imply:
% 229.76/38.09 | (1749) all_1121_0 = all_1067_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1749) implies:
% 229.76/38.09 | (1750) all_1121_0 = all_1067_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1212), (1484) imply:
% 229.76/38.09 | (1751) all_1141_0 = all_736_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1751) implies:
% 229.76/38.09 | (1752) all_1141_0 = all_736_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1303), (1737) imply:
% 229.76/38.09 | (1753) all_1159_2 = all_1013_2
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1753) implies:
% 229.76/38.09 | (1754) all_1159_2 = all_1013_2
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1302), (1754) imply:
% 229.76/38.09 | (1755) all_1127_3 = all_1013_2
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1755) implies:
% 229.76/38.09 | (1756) all_1127_3 = all_1013_2
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1672), (1673) imply:
% 229.76/38.09 | (1757) all_986_0 = all_984_1
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1757) implies:
% 229.76/38.09 | (1758) all_986_0 = all_984_1
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1671), (1673) imply:
% 229.76/38.09 | (1759) all_984_1 = all_981_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1711), (1712) imply:
% 229.76/38.09 | (1760) all_1135_0 = all_967_1
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1760) implies:
% 229.76/38.09 | (1761) all_1135_0 = all_967_1
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1271), (1704) imply:
% 229.76/38.09 | (1762) all_1046_0 = all_1041_2
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1762) implies:
% 229.76/38.09 | (1763) all_1046_0 = all_1041_2
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1272), (1704) imply:
% 229.76/38.09 | (1764) all_1041_2 = all_1039_2
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1101), (1714) imply:
% 229.76/38.09 | (1765) all_1150_0 = all_1109_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1103), (1714) imply:
% 229.76/38.09 | (1766) all_1150_0 = all_1088_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1102), (1714) imply:
% 229.76/38.09 | (1767) all_1150_0 = all_1106_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1766), (1767) imply:
% 229.76/38.09 | (1768) all_1106_0 = all_1088_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1765), (1767) imply:
% 229.76/38.09 | (1769) all_1109_0 = all_1106_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1769) implies:
% 229.76/38.09 | (1770) all_1109_0 = all_1106_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1179), (1727) imply:
% 229.76/38.09 | (1771) all_1121_0 = c_Int_OPls
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1771) implies:
% 229.76/38.09 | (1772) all_1121_0 = c_Int_OPls
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1646), (1647) imply:
% 229.76/38.09 | (1773) all_946_0 = all_783_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1773) implies:
% 229.76/38.09 | (1774) all_946_0 = all_783_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1211), (1752) imply:
% 229.76/38.09 | (1775) all_1043_0 = all_736_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1775) implies:
% 229.76/38.09 | (1776) all_1043_0 = all_736_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1724), (1725) imply:
% 229.76/38.09 | (1777) all_1099_3 = all_1015_2
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1777) implies:
% 229.76/38.09 | (1778) all_1099_3 = all_1015_2
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1100), (1761) imply:
% 229.76/38.09 | (1779) all_1109_0 = all_967_1
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1779) implies:
% 229.76/38.09 | (1780) all_1109_0 = all_967_1
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1301), (1745) imply:
% 229.76/38.09 | (1781) all_1115_2 = all_755_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1781) implies:
% 229.76/38.09 | (1782) all_1115_2 = all_755_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1590), (1756) imply:
% 229.76/38.09 | (1783) all_1091_1 = all_1013_2
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1783) implies:
% 229.76/38.09 | (1784) all_1091_1 = all_1013_2
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1696), (1747) imply:
% 229.76/38.09 | (1785) all_679_0 = all_669_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1097), (1696) imply:
% 229.76/38.09 | (1786) all_701_0 = all_679_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1786) implies:
% 229.76/38.09 | (1787) all_701_0 = all_679_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1099), (1696) imply:
% 229.76/38.09 | (1788) all_679_0 = all_671_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1098), (1696) imply:
% 229.76/38.09 | (1789) all_679_0 = all_673_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1267), (1268) imply:
% 229.76/38.09 | (1790) all_1099_4 = all_1027_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1267), (1270) imply:
% 229.76/38.09 | (1791) all_1099_4 = all_1007_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1267), (1269) imply:
% 229.76/38.09 | (1792) all_1099_4 = all_1018_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1096), (1692) imply:
% 229.76/38.09 | (1793) all_1073_0 = all_940_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1793) implies:
% 229.76/38.09 | (1794) all_1073_0 = all_940_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1750), (1772) imply:
% 229.76/38.09 | (1795) all_1067_0 = c_Int_OPls
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1795) implies:
% 229.76/38.09 | (1796) all_1067_0 = c_Int_OPls
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1670), (1679) imply:
% 229.76/38.09 | (1797) all_1099_3 = all_998_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1797) implies:
% 229.76/38.09 | (1798) all_1099_3 = all_998_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1300), (1782) imply:
% 229.76/38.09 | (1799) all_1112_2 = all_755_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1799) implies:
% 229.76/38.09 | (1800) all_1112_2 = all_755_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1266), (1525) imply:
% 229.76/38.09 | (1801) all_777_1 = all_675_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1801) implies:
% 229.76/38.09 | (1802) all_777_1 = all_675_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1299), (1800) imply:
% 229.76/38.09 | (1803) all_1101_3 = all_755_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1803) implies:
% 229.76/38.09 | (1804) all_1101_3 = all_755_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1770), (1780) imply:
% 229.76/38.09 | (1805) all_1106_0 = all_967_1
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1805) implies:
% 229.76/38.09 | (1806) all_1106_0 = all_967_1
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1768), (1806) imply:
% 229.76/38.09 | (1807) all_1088_0 = all_967_1
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1807) implies:
% 229.76/38.09 | (1808) all_1088_0 = all_967_1
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1264), (1265) imply:
% 229.76/38.09 | (1809) all_937_1 = all_693_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1809) implies:
% 229.76/38.09 | (1810) all_937_1 = all_693_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1570), (1641) imply:
% 229.76/38.09 | (1811) all_1021_0 = all_789_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1569), (1641) imply:
% 229.76/38.09 | (1812) all_1021_0 = all_805_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1571), (1641) imply:
% 229.76/38.09 | (1813) all_1021_0 = all_978_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1298), (1804) imply:
% 229.76/38.09 | (1814) all_1005_2 = all_755_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1814) implies:
% 229.76/38.09 | (1815) all_1005_2 = all_755_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1552), (1553) imply:
% 229.76/38.09 | (1816) all_1064_2 = all_1002_1
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1550), (1553) imply:
% 229.76/38.09 | (1817) all_1064_2 = all_970_1
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1551), (1553) imply:
% 229.76/38.09 | (1818) all_1064_2 = all_992_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1553), (1554) imply:
% 229.76/38.09 | (1819) all_1079_0 = all_1064_2
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1819) implies:
% 229.76/38.09 | (1820) all_1079_0 = all_1064_2
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1680), (1778) imply:
% 229.76/38.09 | (1821) all_1091_1 = all_1015_2
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1821) implies:
% 229.76/38.09 | (1822) all_1091_1 = all_1015_2
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1778), (1798) imply:
% 229.76/38.09 | (1823) all_1015_2 = all_998_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1790), (1792) imply:
% 229.76/38.09 | (1824) all_1027_0 = all_1018_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1824) implies:
% 229.76/38.09 | (1825) all_1027_0 = all_1018_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1791), (1792) imply:
% 229.76/38.09 | (1826) all_1018_0 = all_1007_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1095), (1698) imply:
% 229.76/38.09 | (1827) all_1085_0 = all_1010_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1827) implies:
% 229.76/38.09 | (1828) all_1085_0 = all_1010_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1588), (1784) imply:
% 229.76/38.09 | (1829) all_1013_2 = all_1005_2
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1784), (1822) imply:
% 229.76/38.09 | (1830) all_1015_2 = all_1013_2
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1830) implies:
% 229.76/38.09 | (1831) all_1015_2 = all_1013_2
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1094), (1808) imply:
% 229.76/38.09 | (1832) all_1070_0 = all_967_1
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1832) implies:
% 229.76/38.09 | (1833) all_1070_0 = all_967_1
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1093), (1828) imply:
% 229.76/38.09 | (1834) all_1061_0 = all_1010_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1834) implies:
% 229.76/38.09 | (1835) all_1061_0 = all_1010_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1263), (1710) imply:
% 229.76/38.09 | (1836) all_970_0 = all_741_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1836) implies:
% 229.76/38.09 | (1837) all_970_0 = all_741_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1092), (1611) imply:
% 229.76/38.09 | (1838) all_928_1 = all_691_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1838) implies:
% 229.76/38.09 | (1839) all_928_1 = all_691_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1091), (1820) imply:
% 229.76/38.09 | (1840) all_1064_2 = all_1055_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1840) implies:
% 229.76/38.09 | (1841) all_1064_2 = all_1055_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1262), (1706) imply:
% 229.76/38.09 | (1842) all_1064_1 = all_821_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1842) implies:
% 229.76/38.09 | (1843) all_1064_1 = all_821_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1090), (1794) imply:
% 229.76/38.09 | (1844) all_1041_3 = all_940_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1844) implies:
% 229.76/38.09 | (1845) all_1041_3 = all_940_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1089), (1833) imply:
% 229.76/38.09 | (1846) all_1058_0 = all_967_1
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1846) implies:
% 229.76/38.09 | (1847) all_1058_0 = all_967_1
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1748), (1796) imply:
% 229.76/38.09 | (1848) all_1049_0 = c_Int_OPls
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1848) implies:
% 229.76/38.09 | (1849) all_1049_0 = c_Int_OPls
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1261), (1843) imply:
% 229.76/38.09 | (1850) all_1046_0 = all_821_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1850) implies:
% 229.76/38.09 | (1851) all_1046_0 = all_821_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1817), (1841) imply:
% 229.76/38.09 | (1852) all_1055_0 = all_970_1
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1818), (1841) imply:
% 229.76/38.09 | (1853) all_1055_0 = all_992_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1816), (1841) imply:
% 229.76/38.09 | (1854) all_1055_0 = all_1002_1
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1088), (1835) imply:
% 229.76/38.09 | (1855) all_1041_3 = all_1010_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1855) implies:
% 229.76/38.09 | (1856) all_1041_3 = all_1010_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1087), (1847) imply:
% 229.76/38.09 | (1857) all_1039_3 = all_967_1
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1857) implies:
% 229.76/38.09 | (1858) all_1039_3 = all_967_1
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1852), (1853) imply:
% 229.76/38.09 | (1859) all_992_0 = all_970_1
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1853), (1854) imply:
% 229.76/38.09 | (1860) all_1002_1 = all_992_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1860) implies:
% 229.76/38.09 | (1861) all_1002_1 = all_992_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1210), (1521) imply:
% 229.76/38.09 | (1862) all_789_0 = all_714_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1862) implies:
% 229.76/38.09 | (1863) all_789_0 = all_714_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1178), (1849) imply:
% 229.76/38.09 | (1864) all_1030_0 = c_Int_OPls
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1864) implies:
% 229.76/38.09 | (1865) all_1030_0 = c_Int_OPls
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1763), (1851) imply:
% 229.76/38.09 | (1866) all_1041_2 = all_821_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1866) implies:
% 229.76/38.09 | (1867) all_1041_2 = all_821_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1209), (1776) imply:
% 229.76/38.09 | (1868) all_1033_0 = all_736_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1868) implies:
% 229.76/38.09 | (1869) all_1033_0 = all_736_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1248), (1249) imply:
% 229.76/38.09 | (1870) all_1039_1 = all_792_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1248), (1250) imply:
% 229.76/38.09 | (1871) all_1039_1 = all_667_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1764), (1867) imply:
% 229.76/38.09 | (1872) all_1039_2 = all_821_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1872) implies:
% 229.76/38.09 | (1873) all_1039_2 = all_821_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1085), (1856) imply:
% 229.76/38.09 | (1874) all_1010_0 = all_1007_1
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1086), (1856) imply:
% 229.76/38.09 | (1875) all_1010_0 = all_792_1
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1845), (1856) imply:
% 229.76/38.09 | (1876) all_1010_0 = all_940_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1870), (1871) imply:
% 229.76/38.09 | (1877) all_792_0 = all_667_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1877) implies:
% 229.76/38.09 | (1878) all_792_0 = all_667_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1260), (1873) imply:
% 229.76/38.09 | (1879) all_1036_0 = all_821_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1879) implies:
% 229.76/38.09 | (1880) all_1036_0 = all_821_0
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1084), (1858) imply:
% 229.76/38.09 | (1881) all_1002_1 = all_967_1
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1881) implies:
% 229.76/38.09 | (1882) all_1002_1 = all_967_1
% 229.76/38.09 |
% 229.76/38.09 | COMBINE_EQS: (1259), (1880) imply:
% 229.76/38.09 | (1883) all_1027_0 = all_821_0
% 229.76/38.09 |
% 229.76/38.09 | SIMP: (1883) implies:
% 229.76/38.09 | (1884) all_1027_0 = all_821_0
% 229.76/38.09 |
% 229.76/38.10 | COMBINE_EQS: (1081), (1083) imply:
% 229.76/38.10 | (1885) all_895_1 = all_703_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1081), (1082) imply:
% 229.76/38.10 | (1886) all_895_1 = all_887_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1208), (1869) imply:
% 229.76/38.10 | (1887) all_1005_3 = all_736_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1887) implies:
% 229.76/38.10 | (1888) all_1005_3 = all_736_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1177), (1865) imply:
% 229.76/38.10 | (1889) all_1013_3 = c_Int_OPls
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1889) implies:
% 229.76/38.10 | (1890) all_1013_3 = c_Int_OPls
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1825), (1884) imply:
% 229.76/38.10 | (1891) all_1018_0 = all_821_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1891) implies:
% 229.76/38.10 | (1892) all_1018_0 = all_821_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1547), (1739) imply:
% 229.76/38.10 | (1893) all_955_0 = all_681_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1893) implies:
% 229.76/38.10 | (1894) all_955_0 = all_681_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1811), (1812) imply:
% 229.76/38.10 | (1895) all_805_0 = all_789_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1812), (1813) imply:
% 229.76/38.10 | (1896) all_978_0 = all_805_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1896) implies:
% 229.76/38.10 | (1897) all_978_0 = all_805_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1826), (1892) imply:
% 229.76/38.10 | (1898) all_1007_0 = all_821_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1898) implies:
% 229.76/38.10 | (1899) all_1007_0 = all_821_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1823), (1831) imply:
% 229.76/38.10 | (1900) all_1013_2 = all_998_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1900) implies:
% 229.76/38.10 | (1901) all_1013_2 = all_998_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1829), (1901) imply:
% 229.76/38.10 | (1902) all_1005_2 = all_998_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1902) implies:
% 229.76/38.10 | (1903) all_1005_2 = all_998_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1176), (1890) imply:
% 229.76/38.10 | (1904) all_995_0 = c_Int_OPls
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1904) implies:
% 229.76/38.10 | (1905) all_995_0 = c_Int_OPls
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1875), (1876) imply:
% 229.76/38.10 | (1906) all_940_0 = all_792_1
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1874), (1876) imply:
% 229.76/38.10 | (1907) all_1007_1 = all_940_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1907) implies:
% 229.76/38.10 | (1908) all_1007_1 = all_940_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1258), (1899) imply:
% 229.76/38.10 | (1909) all_1002_0 = all_821_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1909) implies:
% 229.76/38.10 | (1910) all_1002_0 = all_821_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1080), (1908) imply:
% 229.76/38.10 | (1911) all_940_0 = all_846_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1911) implies:
% 229.76/38.10 | (1912) all_940_0 = all_846_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1080), (1514) imply:
% 229.76/38.10 | (1913) all_846_0 = all_812_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1297), (1903) imply:
% 229.76/38.10 | (1914) all_998_0 = all_986_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1815), (1903) imply:
% 229.76/38.10 | (1915) all_998_0 = all_755_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1536), (1888) imply:
% 229.76/38.10 | (1916) all_978_0 = all_736_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1916) implies:
% 229.76/38.10 | (1917) all_978_0 = all_736_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1717), (1910) imply:
% 229.76/38.10 | (1918) all_964_0 = all_821_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1918) implies:
% 229.76/38.10 | (1919) all_964_0 = all_821_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1861), (1882) imply:
% 229.76/38.10 | (1920) all_992_0 = all_967_1
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1920) implies:
% 229.76/38.10 | (1921) all_992_0 = all_967_1
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1914), (1915) imply:
% 229.76/38.10 | (1922) all_986_0 = all_755_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1922) implies:
% 229.76/38.10 | (1923) all_986_0 = all_755_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1175), (1905) imply:
% 229.76/38.10 | (1924) all_976_3 = c_Int_OPls
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1924) implies:
% 229.76/38.10 | (1925) all_976_3 = c_Int_OPls
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1859), (1921) imply:
% 229.76/38.10 | (1926) all_970_1 = all_967_1
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1926) implies:
% 229.76/38.10 | (1927) all_970_1 = all_967_1
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1732), (1733) imply:
% 229.76/38.10 | (1928) all_849_0 = all_779_1
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1928) implies:
% 229.76/38.10 | (1929) all_849_0 = all_779_1
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1732), (1741) imply:
% 229.76/38.10 | (1930) all_955_0 = all_779_1
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1930) implies:
% 229.76/38.10 | (1931) all_955_0 = all_779_1
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1758), (1923) imply:
% 229.76/38.10 | (1932) all_984_1 = all_755_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1932) implies:
% 229.76/38.10 | (1933) all_984_1 = all_755_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1759), (1933) imply:
% 229.76/38.10 | (1934) all_981_0 = all_755_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1934) implies:
% 229.76/38.10 | (1935) all_981_0 = all_755_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1296), (1935) imply:
% 229.76/38.10 | (1936) all_976_2 = all_755_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1936) implies:
% 229.76/38.10 | (1937) all_976_2 = all_755_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1897), (1917) imply:
% 229.76/38.10 | (1938) all_805_0 = all_736_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1938) implies:
% 229.76/38.10 | (1939) all_805_0 = all_736_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1295), (1937) imply:
% 229.76/38.10 | (1940) all_916_0 = all_755_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1940) implies:
% 229.76/38.10 | (1941) all_916_0 = all_755_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1174), (1925) imply:
% 229.76/38.10 | (1942) all_961_1 = c_Int_OPls
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1942) implies:
% 229.76/38.10 | (1943) all_961_1 = c_Int_OPls
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1612), (1613) imply:
% 229.76/38.10 | (1944) all_858_1 = all_752_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1944) implies:
% 229.76/38.10 | (1945) all_858_1 = all_752_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1257), (1837) imply:
% 229.76/38.10 | (1946) all_777_1 = all_741_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1946) implies:
% 229.76/38.10 | (1947) all_777_1 = all_741_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1078), (1927) imply:
% 229.76/38.10 | (1948) all_967_1 = all_964_1
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1079), (1927) imply:
% 229.76/38.10 | (1949) all_967_1 = all_892_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1948), (1949) imply:
% 229.76/38.10 | (1950) all_964_1 = all_892_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1950) implies:
% 229.76/38.10 | (1951) all_964_1 = all_892_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1715), (1919) imply:
% 229.76/38.10 | (1952) all_943_0 = all_821_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1952) implies:
% 229.76/38.10 | (1953) all_943_0 = all_821_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1077), (1951) imply:
% 229.76/38.10 | (1954) all_952_0 = all_892_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1954) implies:
% 229.76/38.10 | (1955) all_952_0 = all_892_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1173), (1943) imply:
% 229.76/38.10 | (1956) all_949_0 = c_Int_OPls
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1956) implies:
% 229.76/38.10 | (1957) all_949_0 = c_Int_OPls
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1894), (1931) imply:
% 229.76/38.10 | (1958) all_779_1 = all_681_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1958) implies:
% 229.76/38.10 | (1959) all_779_1 = all_681_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1076), (1955) imply:
% 229.76/38.10 | (1960) all_943_1 = all_892_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1960) implies:
% 229.76/38.10 | (1961) all_943_1 = all_892_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1172), (1957) imply:
% 229.76/38.10 | (1962) all_913_0 = c_Int_OPls
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1962) implies:
% 229.76/38.10 | (1963) all_913_0 = c_Int_OPls
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1207), (1774) imply:
% 229.76/38.10 | (1964) all_934_0 = all_783_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1964) implies:
% 229.76/38.10 | (1965) all_934_0 = all_783_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1256), (1953) imply:
% 229.76/38.10 | (1966) all_821_0 = all_683_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1254), (1953) imply:
% 229.76/38.10 | (1967) all_876_1 = all_821_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1967) implies:
% 229.76/38.10 | (1968) all_876_1 = all_821_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1255), (1953) imply:
% 229.76/38.10 | (1969) all_821_0 = all_777_1
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1075), (1961) imply:
% 229.76/38.10 | (1970) all_937_0 = all_892_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1970) implies:
% 229.76/38.10 | (1971) all_937_0 = all_892_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1906), (1912) imply:
% 229.76/38.10 | (1972) all_846_0 = all_792_1
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1972) implies:
% 229.76/38.10 | (1973) all_846_0 = all_792_1
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1253), (1690) imply:
% 229.76/38.10 | (1974) all_901_0 = all_787_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1974) implies:
% 229.76/38.10 | (1975) all_901_0 = all_787_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1074), (1971) imply:
% 229.76/38.10 | (1976) all_928_1 = all_892_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1976) implies:
% 229.76/38.10 | (1977) all_928_1 = all_892_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1252), (1810) imply:
% 229.76/38.10 | (1978) all_777_1 = all_693_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1978) implies:
% 229.76/38.10 | (1979) all_777_1 = all_693_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1206), (1965) imply:
% 229.76/38.10 | (1980) all_831_0 = all_783_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1980) implies:
% 229.76/38.10 | (1981) all_831_0 = all_783_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1512), (1977) imply:
% 229.76/38.10 | (1982) all_892_0 = all_812_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1839), (1977) imply:
% 229.76/38.10 | (1983) all_892_0 = all_691_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1294), (1941) imply:
% 229.76/38.10 | (1984) all_869_0 = all_755_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1984) implies:
% 229.76/38.10 | (1985) all_869_0 = all_755_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1171), (1963) imply:
% 229.76/38.10 | (1986) all_907_0 = c_Int_OPls
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1986) implies:
% 229.76/38.10 | (1987) all_907_0 = c_Int_OPls
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1170), (1987) imply:
% 229.76/38.10 | (1988) all_837_0 = c_Int_OPls
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1988) implies:
% 229.76/38.10 | (1989) all_837_0 = c_Int_OPls
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1251), (1975) imply:
% 229.76/38.10 | (1990) all_876_1 = all_787_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1990) implies:
% 229.76/38.10 | (1991) all_876_1 = all_787_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1885), (1886) imply:
% 229.76/38.10 | (1992) all_887_0 = all_703_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1992) implies:
% 229.76/38.10 | (1993) all_887_0 = all_703_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1982), (1983) imply:
% 229.76/38.10 | (1994) all_812_0 = all_691_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1994) implies:
% 229.76/38.10 | (1995) all_812_0 = all_691_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1073), (1993) imply:
% 229.76/38.10 | (1996) all_867_2 = all_703_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1996) implies:
% 229.76/38.10 | (1997) all_867_2 = all_703_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1968), (1991) imply:
% 229.76/38.10 | (1998) all_821_0 = all_787_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (1998) implies:
% 229.76/38.10 | (1999) all_821_0 = all_787_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1293), (1985) imply:
% 229.76/38.10 | (2000) all_849_0 = all_755_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2000) implies:
% 229.76/38.10 | (2001) all_849_0 = all_755_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1072), (1997) imply:
% 229.76/38.10 | (2002) all_861_0 = all_703_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2002) implies:
% 229.76/38.10 | (2003) all_861_0 = all_703_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1071), (2003) imply:
% 229.76/38.10 | (2004) all_824_0 = all_703_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2004) implies:
% 229.76/38.10 | (2005) all_824_0 = all_703_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1205), (1945) imply:
% 229.76/38.10 | (2006) all_803_0 = all_752_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2006) implies:
% 229.76/38.10 | (2007) all_803_0 = all_752_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1929), (2001) imply:
% 229.76/38.10 | (2008) all_779_1 = all_755_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2008) implies:
% 229.76/38.10 | (2009) all_779_1 = all_755_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1913), (1973) imply:
% 229.76/38.10 | (2010) all_812_0 = all_792_1
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2010) implies:
% 229.76/38.10 | (2011) all_812_0 = all_792_1
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1169), (1989) imply:
% 229.76/38.10 | (2012) all_697_0 = c_Int_OPls
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2012) implies:
% 229.76/38.10 | (2013) all_697_0 = c_Int_OPls
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1204), (1981) imply:
% 229.76/38.10 | (2014) all_789_0 = all_783_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2014) implies:
% 229.76/38.10 | (2015) all_789_0 = all_783_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1070), (2005) imply:
% 229.76/38.10 | (2016) all_818_0 = all_703_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2016) implies:
% 229.76/38.10 | (2017) all_818_0 = all_703_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1969), (1999) imply:
% 229.76/38.10 | (2018) all_787_0 = all_777_1
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1966), (1999) imply:
% 229.76/38.10 | (2019) all_787_0 = all_683_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1069), (2017) imply:
% 229.76/38.10 | (2020) all_815_0 = all_703_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2020) implies:
% 229.76/38.10 | (2021) all_815_0 = all_703_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1068), (2021) imply:
% 229.76/38.10 | (2022) all_787_1 = all_703_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2022) implies:
% 229.76/38.10 | (2023) all_787_1 = all_703_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1515), (2011) imply:
% 229.76/38.10 | (2024) all_792_1 = all_741_1
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1995), (2011) imply:
% 229.76/38.10 | (2025) all_792_1 = all_691_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1895), (1939) imply:
% 229.76/38.10 | (2026) all_789_0 = all_736_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2026) implies:
% 229.76/38.10 | (2027) all_789_0 = all_736_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1203), (2007) imply:
% 229.76/38.10 | (2028) all_789_0 = all_752_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2028) implies:
% 229.76/38.10 | (2029) all_789_0 = all_752_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1167), (1168) imply:
% 229.76/38.10 | (2030) all_781_1 = all_705_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2030) implies:
% 229.76/38.10 | (2031) all_781_1 = all_705_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1247), (1878) imply:
% 229.76/38.10 | (2032) all_707_0 = all_667_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (2024), (2025) imply:
% 229.76/38.10 | (2033) all_741_1 = all_691_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2033) implies:
% 229.76/38.10 | (2034) all_741_1 = all_691_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1202), (2015) imply:
% 229.76/38.10 | (2035) all_783_0 = all_726_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (2015), (2029) imply:
% 229.76/38.10 | (2036) all_783_0 = all_752_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1863), (2015) imply:
% 229.76/38.10 | (2037) all_783_0 = all_714_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (2015), (2027) imply:
% 229.76/38.10 | (2038) all_783_0 = all_736_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (2018), (2019) imply:
% 229.76/38.10 | (2039) all_777_1 = all_683_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2039) implies:
% 229.76/38.10 | (2040) all_777_1 = all_683_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1067), (2023) imply:
% 229.76/38.10 | (2041) all_777_0 = all_703_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2041) implies:
% 229.76/38.10 | (2042) all_777_0 = all_703_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (2035), (2036) imply:
% 229.76/38.10 | (2043) all_752_0 = all_726_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (2036), (2037) imply:
% 229.76/38.10 | (2044) all_752_0 = all_714_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (2036), (2038) imply:
% 229.76/38.10 | (2045) all_752_0 = all_736_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1166), (2031) imply:
% 229.76/38.10 | (2046) all_766_1 = all_705_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2046) implies:
% 229.76/38.10 | (2047) all_766_1 = all_705_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1959), (2009) imply:
% 229.76/38.10 | (2048) all_755_0 = all_681_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2048) implies:
% 229.76/38.10 | (2049) all_755_0 = all_681_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1066), (2042) imply:
% 229.76/38.10 | (2050) all_772_0 = all_703_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2050) implies:
% 229.76/38.10 | (2051) all_772_0 = all_703_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1947), (2040) imply:
% 229.76/38.10 | (2052) all_741_0 = all_683_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1947), (1979) imply:
% 229.76/38.10 | (2053) all_741_0 = all_693_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1802), (1947) imply:
% 229.76/38.10 | (2054) all_741_0 = all_675_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1064), (2051) imply:
% 229.76/38.10 | (2055) all_741_1 = all_703_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2055) implies:
% 229.76/38.10 | (2056) all_741_1 = all_703_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1065), (2051) imply:
% 229.76/38.10 | (2057) all_703_0 = all_701_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1165), (2047) imply:
% 229.76/38.10 | (2058) all_763_0 = all_705_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2058) implies:
% 229.76/38.10 | (2059) all_763_0 = all_705_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1164), (2059) imply:
% 229.76/38.10 | (2060) all_758_1 = all_705_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2060) implies:
% 229.76/38.10 | (2061) all_758_1 = all_705_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1163), (2061) imply:
% 229.76/38.10 | (2062) all_738_0 = all_705_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2062) implies:
% 229.76/38.10 | (2063) all_738_0 = all_705_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (2043), (2045) imply:
% 229.76/38.10 | (2064) all_736_0 = all_726_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (2044), (2045) imply:
% 229.76/38.10 | (2065) all_736_0 = all_714_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (2053), (2054) imply:
% 229.76/38.10 | (2066) all_693_0 = all_675_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (2052), (2053) imply:
% 229.76/38.10 | (2067) all_693_0 = all_683_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (2034), (2056) imply:
% 229.76/38.10 | (2068) all_703_0 = all_691_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2068) implies:
% 229.76/38.10 | (2069) all_703_0 = all_691_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1162), (2063) imply:
% 229.76/38.10 | (2070) all_705_0 = all_685_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1161), (2063) imply:
% 229.76/38.10 | (2071) all_705_0 = all_695_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (2064), (2065) imply:
% 229.76/38.10 | (2072) all_726_0 = all_714_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2072) implies:
% 229.76/38.10 | (2073) all_726_0 = all_714_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1201), (2073) imply:
% 229.76/38.10 | (2074) all_719_0 = all_714_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2074) implies:
% 229.76/38.10 | (2075) all_719_0 = all_714_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1199), (1200) imply:
% 229.76/38.10 | (2076) all_719_0 = all_709_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2076) implies:
% 229.76/38.10 | (2077) all_719_0 = all_709_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1198), (2075) imply:
% 229.76/38.10 | (2078) all_714_0 = all_712_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (2075), (2077) imply:
% 229.76/38.10 | (2079) all_714_0 = all_709_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (2078), (2079) imply:
% 229.76/38.10 | (2080) all_712_0 = all_709_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2080) implies:
% 229.76/38.10 | (2081) all_712_0 = all_709_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1197), (2081) imply:
% 229.76/38.10 | (2082) all_709_0 = all_689_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1196), (2081) imply:
% 229.76/38.10 | (2083) all_709_0 = all_699_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (2082), (2083) imply:
% 229.76/38.10 | (2084) all_699_0 = all_689_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (2070), (2071) imply:
% 229.76/38.10 | (2085) all_695_0 = all_685_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2085) implies:
% 229.76/38.10 | (2086) all_695_0 = all_685_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (2057), (2069) imply:
% 229.76/38.10 | (2087) all_701_0 = all_691_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2087) implies:
% 229.76/38.10 | (2088) all_701_0 = all_691_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1063), (2088) imply:
% 229.76/38.10 | (2089) all_691_0 = all_677_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1787), (2088) imply:
% 229.76/38.10 | (2090) all_691_0 = all_679_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1160), (2013) imply:
% 229.76/38.10 | (2091) all_695_0 = c_Int_OPls
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2091) implies:
% 229.76/38.10 | (2092) all_695_0 = c_Int_OPls
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (2086), (2092) imply:
% 229.76/38.10 | (2093) all_685_0 = c_Int_OPls
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (2066), (2067) imply:
% 229.76/38.10 | (2094) all_683_0 = all_675_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (2089), (2090) imply:
% 229.76/38.10 | (2095) all_679_0 = all_677_0
% 229.76/38.10 |
% 229.76/38.10 | SIMP: (2095) implies:
% 229.76/38.10 | (2096) all_679_0 = all_677_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1788), (2096) imply:
% 229.76/38.10 | (2097) all_677_0 = all_671_0
% 229.76/38.10 |
% 229.76/38.10 | COMBINE_EQS: (1789), (2096) imply:
% 229.76/38.11 | (2098) all_677_0 = all_673_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1785), (2096) imply:
% 229.76/38.11 | (2099) all_677_0 = all_669_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (2097), (2098) imply:
% 229.76/38.11 | (2100) all_673_0 = all_671_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (2098), (2099) imply:
% 229.76/38.11 | (2101) all_673_0 = all_669_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (2100), (2101) imply:
% 229.76/38.11 | (2102) all_671_0 = all_669_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (2079), (2082) imply:
% 229.76/38.11 | (2103) all_714_0 = all_689_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (2065), (2103) imply:
% 229.76/38.11 | (2104) all_736_0 = all_689_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (2019), (2094) imply:
% 229.76/38.11 | (2105) all_787_0 = all_675_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1999), (2105) imply:
% 229.76/38.11 | (2106) all_821_0 = all_675_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1937), (2049) imply:
% 229.76/38.11 | (2107) all_976_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1933), (2049) imply:
% 229.76/38.11 | (2108) all_984_1 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1732), (1959) imply:
% 229.76/38.11 | (2109) all_989_0 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1915), (2049) imply:
% 229.76/38.11 | (2110) all_998_0 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1888), (2104) imply:
% 229.76/38.11 | (2111) all_1005_3 = all_689_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1903), (2110) imply:
% 229.76/38.11 | (2112) all_1005_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1901), (2110) imply:
% 229.76/38.11 | (2113) all_1013_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1823), (2110) imply:
% 229.76/38.11 | (2114) all_1015_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1867), (2106) imply:
% 229.76/38.11 | (2115) all_1041_2 = all_675_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1784), (2113) imply:
% 229.76/38.11 | (2116) all_1091_1 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1778), (2114) imply:
% 229.76/38.11 | (2117) all_1099_3 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1804), (2049) imply:
% 229.76/38.11 | (2118) all_1101_3 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1800), (2049) imply:
% 229.76/38.11 | (2119) all_1112_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1782), (2049) imply:
% 229.76/38.11 | (2120) all_1115_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1670), (2110) imply:
% 229.76/38.11 | (2121) all_1118_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1756), (2113) imply:
% 229.76/38.11 | (2122) all_1127_3 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1745), (2049) imply:
% 229.76/38.11 | (2123) all_1129_3 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1724), (2114) imply:
% 229.76/38.11 | (2124) all_1138_1 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1673), (2108) imply:
% 229.76/38.11 | (2125) all_1156_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1754), (2113) imply:
% 229.76/38.11 | (2126) all_1159_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1737), (2113) imply:
% 229.76/38.11 | (2127) all_1162_1 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1743), (2049) imply:
% 229.76/38.11 | (2128) all_1177_1 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1731), (2049) imply:
% 229.76/38.11 | (2129) all_1180_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1721), (1894) imply:
% 229.76/38.11 | (2130) all_1183_0 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1651), (2113) imply:
% 229.76/38.11 | (2131) all_1188_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1719), (2109) imply:
% 229.76/38.11 | (2132) all_1191_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1686), (2049) imply:
% 229.76/38.11 | (2133) all_1197_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1688), (2124) imply:
% 229.76/38.11 | (2134) all_1203_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1619), (1894) imply:
% 229.76/38.11 | (2135) all_1209_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1617), (2109) imply:
% 229.76/38.11 | (2136) all_1212_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1660), (2115) imply:
% 229.76/38.11 | (2137) all_1224_2 = all_675_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1676), (2124) imply:
% 229.76/38.11 | (2138) all_1245_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1625), (2049) imply:
% 229.76/38.11 | (2139) all_1254_3 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1635), (2117) imply:
% 229.76/38.11 | (2140) all_1257_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1645), (2138) imply:
% 229.76/38.11 | (2141) all_1260_1 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1629), (2125) imply:
% 229.76/38.11 | (2142) all_1263_3 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1523), (2110) imply:
% 229.76/38.11 | (2143) all_1266_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1655), (2134) imply:
% 229.76/38.11 | (2144) all_1269_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1583), (2144) imply:
% 229.76/38.11 | (2145) all_1275_0 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1623), (2113) imply:
% 229.76/38.11 | (2146) all_1281_3 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1609), (2134) imply:
% 229.76/38.11 | (2147) all_1284_0 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1312), (2140) imply:
% 229.76/38.11 | (2148) all_1302_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1480), (2049) imply:
% 229.76/38.11 | (2149) all_1311_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1316), (2113) imply:
% 229.76/38.11 | (2150) all_1314_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1561), (2135) imply:
% 229.76/38.11 | (2151) all_1320_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1548), (2109) imply:
% 229.76/38.11 | (2152) all_1323_3 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1456), (2114) imply:
% 229.76/38.11 | (2153) all_1326_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1318), (2147) imply:
% 229.76/38.11 | (2154) all_1335_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1320), (2142) imply:
% 229.76/38.11 | (2155) all_1338_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1527), (2138) imply:
% 229.76/38.11 | (2156) all_1347_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1326), (2116) imply:
% 229.76/38.11 | (2157) all_1358_1 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1433), (2145) imply:
% 229.76/38.11 | (2158) all_1364_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1446), (2135) imply:
% 229.76/38.11 | (2159) all_1382_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1335), (2131) imply:
% 229.76/38.11 | (2160) all_1388_3 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1543), (2152) imply:
% 229.76/38.11 | (2161) all_1391_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1460), (2161) imply:
% 229.76/38.11 | (2162) all_1397_3 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1458), (2117) imply:
% 229.76/38.11 | (2163) all_1400_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1466), (2130) imply:
% 229.76/38.11 | (2164) all_1406_3 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1498), (2156) imply:
% 229.76/38.11 | (2165) all_1412_3 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1519), (2110) imply:
% 229.76/38.11 | (2166) all_1415_3 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1492), (2166) imply:
% 229.76/38.11 | (2167) all_1421_3 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1429), (2106) imply:
% 229.76/38.11 | (2168) all_1424_1 = all_675_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1289), (2137) imply:
% 229.76/38.11 | (2169) all_1427_1 = all_675_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1344), (2165) imply:
% 229.76/38.11 | (2170) all_1442_3 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1431), (2167) imply:
% 229.76/38.11 | (2171) all_1469_3 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1356), (2130) imply:
% 229.76/38.11 | (2172) all_1487_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1405), (2134) imply:
% 229.76/38.11 | (2173) all_1490_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1359), (2161) imply:
% 229.76/38.11 | (2174) all_1496_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1425), (2117) imply:
% 229.76/38.11 | (2175) all_1499_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1444), (2114) imply:
% 229.76/38.11 | (2176) all_1502_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1403), (2125) imply:
% 229.76/38.11 | (2177) all_1514_7 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1364), (2135) imply:
% 229.76/38.11 | (2178) all_1517_4 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1401), (2114) imply:
% 229.76/38.11 | (2179) all_1520_3 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1367), (2145) imply:
% 229.76/38.11 | (2180) all_1523_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1369), (2167) imply:
% 229.76/38.11 | (2181) all_1526_5 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1371), (2117) imply:
% 229.76/38.11 | (2182) all_1532_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1373), (2166) imply:
% 229.76/38.11 | (2183) all_1544_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1376), (2132) imply:
% 229.76/38.11 | (2184) all_1546_2 = all_681_0
% 229.76/38.11 |
% 229.76/38.11 | COMBINE_EQS: (1391), (2134) imply:
% 230.29/38.11 | (2185) all_1548_3 = all_681_0
% 230.29/38.11 |
% 230.29/38.11 | COMBINE_EQS: (1381), (2125) imply:
% 230.29/38.11 | (2186) all_1551_4 = all_681_0
% 230.29/38.11 |
% 230.29/38.11 | COMBINE_EQS: (1383), (2114) imply:
% 230.29/38.11 | (2187) all_1554_3 = all_681_0
% 230.29/38.11 |
% 230.29/38.11 | COMBINE_EQS: (1385), (2134) imply:
% 230.29/38.11 | (2188) all_1569_2 = all_681_0
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (1058), (2188) imply:
% 230.29/38.11 | (2189) c_Int_OBit0(all_681_0) = all_1569_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (1046), (2187) imply:
% 230.29/38.11 | (2190) c_Int_OBit0(all_681_0) = all_1554_2
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (1042), (2186) imply:
% 230.29/38.11 | (2191) c_Int_OBit0(all_681_0) = all_1551_3
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (1037), (2185) imply:
% 230.29/38.11 | (2192) c_Int_OBit0(all_681_0) = all_1548_2
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (1031), (2184) imply:
% 230.29/38.11 | (2193) c_Int_OBit0(all_681_0) = all_1546_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (1027), (2183) imply:
% 230.29/38.11 | (2194) c_Int_OBit0(all_681_0) = all_1544_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (1016), (2182) imply:
% 230.29/38.11 | (2195) c_Int_OBit0(all_681_0) = all_1532_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (1010), (2181) imply:
% 230.29/38.11 | (2196) c_Int_OBit0(all_681_0) = all_1526_4
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (1004), (2180) imply:
% 230.29/38.11 | (2197) c_Int_OBit0(all_681_0) = all_1523_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (999), (2179) imply:
% 230.29/38.11 | (2198) c_Int_OBit0(all_681_0) = all_1520_2
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (994), (2178) imply:
% 230.29/38.11 | (2199) c_Int_OBit0(all_681_0) = all_1517_3
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (989), (2177) imply:
% 230.29/38.11 | (2200) c_Int_OBit0(all_681_0) = all_1514_6
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (978), (2176) imply:
% 230.29/38.11 | (2201) c_Int_OBit0(all_681_0) = all_1502_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (974), (2175) imply:
% 230.29/38.11 | (2202) c_Int_OBit0(all_681_0) = all_1499_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (970), (2174) imply:
% 230.29/38.11 | (2203) c_Int_OBit0(all_681_0) = all_1496_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (964), (2173) imply:
% 230.29/38.11 | (2204) c_Int_OBit0(all_681_0) = all_1490_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (960), (2172) imply:
% 230.29/38.11 | (2205) c_Int_OBit0(all_681_0) = all_1487_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (946), (2171) imply:
% 230.29/38.11 | (2206) c_Int_OBit0(all_681_0) = all_1469_2
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (926), (2170) imply:
% 230.29/38.11 | (2207) c_Int_OBit0(all_681_0) = all_1442_2
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (908), (2167) imply:
% 230.29/38.11 | (2208) c_Int_OBit0(all_681_0) = all_1421_2
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (901), (2166) imply:
% 230.29/38.11 | (2209) c_Int_OBit0(all_681_0) = all_1415_2
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (897), (2165) imply:
% 230.29/38.11 | (2210) c_Int_OBit0(all_681_0) = all_1412_2
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (890), (2164) imply:
% 230.29/38.11 | (2211) c_Int_OBit0(all_681_0) = all_1406_2
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (884), (2163) imply:
% 230.29/38.11 | (2212) c_Int_OBit0(all_681_0) = all_1400_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (880), (2162) imply:
% 230.29/38.11 | (2213) c_Int_OBit0(all_681_0) = all_1397_2
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (875), (1490) imply:
% 230.29/38.11 | (2214) c_Int_OBit0(all_681_0) = all_1394_2
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (871), (2161) imply:
% 230.29/38.11 | (2215) c_Int_OBit0(all_681_0) = all_1391_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (867), (2160) imply:
% 230.29/38.11 | (2216) c_Int_OBit0(all_681_0) = all_1388_2
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (860), (2159) imply:
% 230.29/38.11 | (2217) c_Int_OBit0(all_681_0) = all_1382_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (846), (2158) imply:
% 230.29/38.11 | (2218) c_Int_OBit0(all_681_0) = all_1364_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (841), (2157) imply:
% 230.29/38.11 | (2219) c_Int_OBit0(all_681_0) = all_1358_0
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (834), (2156) imply:
% 230.29/38.11 | (2220) c_Int_OBit0(all_681_0) = all_1347_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (826), (2155) imply:
% 230.29/38.11 | (2221) c_Int_OBit0(all_681_0) = all_1338_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (821), (2154) imply:
% 230.29/38.11 | (2222) c_Int_OBit0(all_681_0) = all_1335_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (813), (2153) imply:
% 230.29/38.11 | (2223) c_Int_OBit0(all_681_0) = all_1326_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (809), (2152) imply:
% 230.29/38.11 | (2224) c_Int_OBit0(all_681_0) = all_1323_2
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (805), (2151) imply:
% 230.29/38.11 | (2225) c_Int_OBit0(all_681_0) = all_1320_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (799), (2150) imply:
% 230.29/38.11 | (2226) c_Int_OBit0(all_681_0) = all_1314_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (795), (2149) imply:
% 230.29/38.11 | (2227) c_Int_OBit0(all_681_0) = all_1311_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (786), (2148) imply:
% 230.29/38.11 | (2228) c_Int_OBit0(all_681_0) = all_1302_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (771), (2146) imply:
% 230.29/38.11 | (2229) c_Int_OBit0(all_681_0) = all_1281_2
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (761), (2144) imply:
% 230.29/38.11 | (2230) c_Int_OBit0(all_681_0) = all_1269_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (756), (2143) imply:
% 230.29/38.11 | (2231) c_Int_OBit0(all_681_0) = all_1266_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (752), (2142) imply:
% 230.29/38.11 | (2232) c_Int_OBit0(all_681_0) = all_1263_2
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (747), (2141) imply:
% 230.29/38.11 | (2233) c_Int_OBit0(all_681_0) = all_1260_0
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (744), (2140) imply:
% 230.29/38.11 | (2234) c_Int_OBit0(all_681_0) = all_1257_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (740), (2139) imply:
% 230.29/38.11 | (2235) c_Int_OBit0(all_681_0) = all_1254_2
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (735), (2138) imply:
% 230.29/38.11 | (2236) c_Int_OBit0(all_681_0) = all_1245_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (709), (2136) imply:
% 230.29/38.11 | (2237) c_Int_OBit0(all_681_0) = all_1212_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (705), (2135) imply:
% 230.29/38.11 | (2238) c_Int_OBit0(all_681_0) = all_1209_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (699), (2134) imply:
% 230.29/38.11 | (2239) c_Int_OBit0(all_681_0) = all_1203_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (693), (2133) imply:
% 230.29/38.11 | (2240) c_Int_OBit0(all_681_0) = all_1197_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (687), (2132) imply:
% 230.29/38.11 | (2241) c_Int_OBit0(all_681_0) = all_1191_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (683), (2131) imply:
% 230.29/38.11 | (2242) c_Int_OBit0(all_681_0) = all_1188_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (677), (2129) imply:
% 230.29/38.11 | (2243) c_Int_OBit0(all_681_0) = all_1180_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (673), (2128) imply:
% 230.29/38.11 | (2244) c_Int_OBit0(all_681_0) = all_1177_0
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (664), (2127) imply:
% 230.29/38.11 | (2245) c_Int_OBit0(all_681_0) = all_1162_0
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (661), (2126) imply:
% 230.29/38.11 | (2246) c_Int_OBit0(all_681_0) = all_1159_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (657), (2125) imply:
% 230.29/38.11 | (2247) c_Int_OBit0(all_681_0) = all_1156_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (641), (2124) imply:
% 230.29/38.11 | (2248) c_Int_OBit0(all_681_0) = all_1138_0
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (636), (2123) imply:
% 230.29/38.11 | (2249) c_Int_OBit0(all_681_0) = all_1129_2
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (632), (2122) imply:
% 230.29/38.11 | (2250) c_Int_OBit0(all_681_0) = all_1127_2
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (622), (2121) imply:
% 230.29/38.11 | (2251) c_Int_OBit0(all_681_0) = all_1118_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (618), (2120) imply:
% 230.29/38.11 | (2252) c_Int_OBit0(all_681_0) = all_1115_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (613), (2119) imply:
% 230.29/38.11 | (2253) c_Int_OBit0(all_681_0) = all_1112_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (602), (2118) imply:
% 230.29/38.11 | (2254) c_Int_OBit0(all_681_0) = all_1101_2
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (597), (2117) imply:
% 230.29/38.11 | (2255) c_Int_OBit0(all_681_0) = all_1099_2
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (590), (2116) imply:
% 230.29/38.11 | (2256) c_Int_OBit0(all_681_0) = all_1091_0
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (536), (1547) imply:
% 230.29/38.11 | (2257) c_Int_OBit0(all_681_0) = all_1024_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (528), (2114) imply:
% 230.29/38.11 | (2258) c_Int_OBit0(all_681_0) = all_1015_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (516), (2112) imply:
% 230.29/38.11 | (2259) c_Int_OBit0(all_681_0) = all_1005_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (497), (2108) imply:
% 230.29/38.11 | (2260) c_Int_OBit0(all_681_0) = all_984_0
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (488), (2107) imply:
% 230.29/38.11 | (2261) c_Int_OBit0(all_681_0) = all_976_1
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (916), (2169) imply:
% 230.29/38.11 | (2262) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_675_0) =
% 230.29/38.11 | all_1427_0
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (912), (2168) imply:
% 230.29/38.11 | (2263) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_675_0) =
% 230.29/38.11 | all_1424_0
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (334), (2084) imply:
% 230.29/38.11 | (2264) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) =
% 230.29/38.11 | all_689_0
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (429), (1292) imply:
% 230.29/38.11 | (2265) hAPP(all_775_1, v_m____) = all_867_0
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (343), (2032) imply:
% 230.29/38.11 | (2266) $i(all_667_0)
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (320), (2093) imply:
% 230.29/38.11 | (2267) $i(c_Int_OPls)
% 230.29/38.11 |
% 230.29/38.11 | REDUCE: (317), (2094) imply:
% 230.29/38.12 | (2268) $i(all_675_0)
% 230.29/38.12 |
% 230.29/38.12 | REDUCE: (484), (1925) imply:
% 230.29/38.12 | (2269) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls,
% 230.29/38.12 | all_976_0)
% 230.29/38.12 |
% 230.29/38.12 | REDUCE: (512), (2111) imply:
% 230.29/38.12 | (2270) c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_689_0, all_1005_0)
% 230.29/38.12 |
% 230.29/38.12 | REDUCE: (342), (2032) imply:
% 230.29/38.12 | (2271) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_d____, all_667_0)
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (293) with all_775_0, all_867_0, v_m____,
% 230.29/38.12 | all_775_1, simplifying with (377), (2265) gives:
% 230.29/38.12 | (2272) all_867_0 = all_775_0
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (296) with all_1424_0, all_1427_0, all_675_0,
% 230.29/38.12 | tc_RealDef_Oreal, simplifying with (2262), (2263) gives:
% 230.29/38.12 | (2273) all_1427_0 = all_1424_0
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1099_2, all_1101_2, all_681_0,
% 230.29/38.12 | simplifying with (2254), (2255) gives:
% 230.29/38.12 | (2274) all_1101_2 = all_1099_2
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1101_2, all_1112_1, all_681_0,
% 230.29/38.12 | simplifying with (2253), (2254) gives:
% 230.29/38.12 | (2275) all_1112_1 = all_1101_2
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1112_1, all_1127_2, all_681_0,
% 230.29/38.12 | simplifying with (2250), (2253) gives:
% 230.29/38.12 | (2276) all_1127_2 = all_1112_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1005_1, all_1127_2, all_681_0,
% 230.29/38.12 | simplifying with (2250), (2259) gives:
% 230.29/38.12 | (2277) all_1127_2 = all_1005_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1127_2, all_1129_2, all_681_0,
% 230.29/38.12 | simplifying with (2249), (2250) gives:
% 230.29/38.12 | (2278) all_1129_2 = all_1127_2
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1129_2, all_1138_0, all_681_0,
% 230.29/38.12 | simplifying with (2248), (2249) gives:
% 230.29/38.12 | (2279) all_1138_0 = all_1129_2
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1138_0, all_1162_0, all_681_0,
% 230.29/38.12 | simplifying with (2245), (2248) gives:
% 230.29/38.12 | (2280) all_1162_0 = all_1138_0
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1159_1, all_1177_0, all_681_0,
% 230.29/38.12 | simplifying with (2244), (2246) gives:
% 230.29/38.12 | (2281) all_1177_0 = all_1159_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1099_2, all_1177_0, all_681_0,
% 230.29/38.12 | simplifying with (2244), (2255) gives:
% 230.29/38.12 | (2282) all_1177_0 = all_1099_2
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1024_1, all_1177_0, all_681_0,
% 230.29/38.12 | simplifying with (2244), (2257) gives:
% 230.29/38.12 | (2283) all_1177_0 = all_1024_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1162_0, all_1180_1, all_681_0,
% 230.29/38.12 | simplifying with (2243), (2245) gives:
% 230.29/38.12 | (2284) all_1180_1 = all_1162_0
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1156_1, all_1188_1, all_681_0,
% 230.29/38.12 | simplifying with (2242), (2247) gives:
% 230.29/38.12 | (2285) all_1188_1 = all_1156_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1159_1, all_1209_1, all_681_0,
% 230.29/38.12 | simplifying with (2238), (2246) gives:
% 230.29/38.12 | (2286) all_1209_1 = all_1159_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1209_1, all_1212_1, all_681_0,
% 230.29/38.12 | simplifying with (2237), (2238) gives:
% 230.29/38.12 | (2287) all_1212_1 = all_1209_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1212_1, all_1245_1, all_681_0,
% 230.29/38.12 | simplifying with (2236), (2237) gives:
% 230.29/38.12 | (2288) all_1245_1 = all_1212_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1245_1, all_1260_0, all_681_0,
% 230.29/38.12 | simplifying with (2233), (2236) gives:
% 230.29/38.12 | (2289) all_1260_0 = all_1245_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1260_0, all_1263_2, all_681_0,
% 230.29/38.12 | simplifying with (2232), (2233) gives:
% 230.29/38.12 | (2290) all_1263_2 = all_1260_0
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1266_1, all_1269_1, all_681_0,
% 230.29/38.12 | simplifying with (2230), (2231) gives:
% 230.29/38.12 | (2291) all_1269_1 = all_1266_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1156_1, all_1302_1, all_681_0,
% 230.29/38.12 | simplifying with (2228), (2247) gives:
% 230.29/38.12 | (2292) all_1302_1 = all_1156_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1024_1, all_1302_1, all_681_0,
% 230.29/38.12 | simplifying with (2228), (2257) gives:
% 230.29/38.12 | (2293) all_1302_1 = all_1024_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_984_0, all_1302_1, all_681_0,
% 230.29/38.12 | simplifying with (2228), (2260) gives:
% 230.29/38.12 | (2294) all_1302_1 = all_984_0
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1302_1, all_1311_1, all_681_0,
% 230.29/38.12 | simplifying with (2227), (2228) gives:
% 230.29/38.12 | (2295) all_1311_1 = all_1302_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1263_2, all_1314_1, all_681_0,
% 230.29/38.12 | simplifying with (2226), (2232) gives:
% 230.29/38.12 | (2296) all_1314_1 = all_1263_2
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1269_1, all_1320_1, all_681_0,
% 230.29/38.12 | simplifying with (2225), (2230) gives:
% 230.29/38.12 | (2297) all_1320_1 = all_1269_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1311_1, all_1323_2, all_681_0,
% 230.29/38.12 | simplifying with (2224), (2227) gives:
% 230.29/38.12 | (2298) all_1323_2 = all_1311_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1320_1, all_1326_1, all_681_0,
% 230.29/38.12 | simplifying with (2223), (2225) gives:
% 230.29/38.12 | (2299) all_1326_1 = all_1320_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1203_1, all_1335_1, all_681_0,
% 230.29/38.12 | simplifying with (2222), (2239) gives:
% 230.29/38.12 | (2300) all_1335_1 = all_1203_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1197_1, all_1335_1, all_681_0,
% 230.29/38.12 | simplifying with (2222), (2240) gives:
% 230.29/38.12 | (2301) all_1335_1 = all_1197_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1180_1, all_1335_1, all_681_0,
% 230.29/38.12 | simplifying with (2222), (2243) gives:
% 230.29/38.12 | (2302) all_1335_1 = all_1180_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1197_1, all_1338_1, all_681_0,
% 230.29/38.12 | simplifying with (2221), (2240) gives:
% 230.29/38.12 | (2303) all_1338_1 = all_1197_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1118_1, all_1338_1, all_681_0,
% 230.29/38.12 | simplifying with (2221), (2251) gives:
% 230.29/38.12 | (2304) all_1338_1 = all_1118_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1314_1, all_1347_1, all_681_0,
% 230.29/38.12 | simplifying with (2220), (2226) gives:
% 230.29/38.12 | (2305) all_1347_1 = all_1314_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1335_1, all_1358_0, all_681_0,
% 230.29/38.12 | simplifying with (2219), (2222) gives:
% 230.29/38.12 | (2306) all_1358_0 = all_1335_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1347_1, all_1364_1, all_681_0,
% 230.29/38.12 | simplifying with (2218), (2220) gives:
% 230.29/38.12 | (2307) all_1364_1 = all_1347_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1358_0, all_1382_1, all_681_0,
% 230.29/38.12 | simplifying with (2217), (2219) gives:
% 230.29/38.12 | (2308) all_1382_1 = all_1358_0
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1364_1, all_1391_1, all_681_0,
% 230.29/38.12 | simplifying with (2215), (2218) gives:
% 230.29/38.12 | (2309) all_1391_1 = all_1364_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1391_1, all_1394_2, all_681_0,
% 230.29/38.12 | simplifying with (2214), (2215) gives:
% 230.29/38.12 | (2310) all_1394_2 = all_1391_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1326_1, all_1397_2, all_681_0,
% 230.29/38.12 | simplifying with (2213), (2223) gives:
% 230.29/38.12 | (2311) all_1397_2 = all_1326_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1323_2, all_1400_1, all_681_0,
% 230.29/38.12 | simplifying with (2212), (2224) gives:
% 230.29/38.12 | (2312) all_1400_1 = all_1323_2
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1382_1, all_1406_2, all_681_0,
% 230.29/38.12 | simplifying with (2211), (2217) gives:
% 230.29/38.12 | (2313) all_1406_2 = all_1382_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1406_2, all_1412_2, all_681_0,
% 230.29/38.12 | simplifying with (2210), (2211) gives:
% 230.29/38.12 | (2314) all_1412_2 = all_1406_2
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1188_1, all_1415_2, all_681_0,
% 230.29/38.12 | simplifying with (2209), (2242) gives:
% 230.29/38.12 | (2315) all_1415_2 = all_1188_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1415_2, all_1442_2, all_681_0,
% 230.29/38.12 | simplifying with (2207), (2209) gives:
% 230.29/38.12 | (2316) all_1442_2 = all_1415_2
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_976_1, all_1442_2, all_681_0,
% 230.29/38.12 | simplifying with (2207), (2261) gives:
% 230.29/38.12 | (2317) all_1442_2 = all_976_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1397_2, all_1469_2, all_681_0,
% 230.29/38.12 | simplifying with (2206), (2213) gives:
% 230.29/38.12 | (2318) all_1469_2 = all_1397_2
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1421_2, all_1487_1, all_681_0,
% 230.29/38.12 | simplifying with (2205), (2208) gives:
% 230.29/38.12 | (2319) all_1487_1 = all_1421_2
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1394_2, all_1496_1, all_681_0,
% 230.29/38.12 | simplifying with (2203), (2214) gives:
% 230.29/38.12 | (2320) all_1496_1 = all_1394_2
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1487_1, all_1499_1, all_681_0,
% 230.29/38.12 | simplifying with (2202), (2205) gives:
% 230.29/38.12 | (2321) all_1499_1 = all_1487_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1499_1, all_1502_1, all_681_0,
% 230.29/38.12 | simplifying with (2201), (2202) gives:
% 230.29/38.12 | (2322) all_1502_1 = all_1499_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1496_1, all_1514_6, all_681_0,
% 230.29/38.12 | simplifying with (2200), (2203) gives:
% 230.29/38.12 | (2323) all_1514_6 = all_1496_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1514_6, all_1517_3, all_681_0,
% 230.29/38.12 | simplifying with (2199), (2200) gives:
% 230.29/38.12 | (2324) all_1517_3 = all_1514_6
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1469_2, all_1520_2, all_681_0,
% 230.29/38.12 | simplifying with (2198), (2206) gives:
% 230.29/38.12 | (2325) all_1520_2 = all_1469_2
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1191_1, all_1520_2, all_681_0,
% 230.29/38.12 | simplifying with (2198), (2241) gives:
% 230.29/38.12 | (2326) all_1520_2 = all_1191_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1517_3, all_1526_4, all_681_0,
% 230.29/38.12 | simplifying with (2196), (2199) gives:
% 230.29/38.12 | (2327) all_1526_4 = all_1517_3
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1091_0, all_1526_4, all_681_0,
% 230.29/38.12 | simplifying with (2196), (2256) gives:
% 230.29/38.12 | (2328) all_1526_4 = all_1091_0
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1335_1, all_1544_1, all_681_0,
% 230.29/38.12 | simplifying with (2194), (2222) gives:
% 230.29/38.12 | (2329) all_1544_1 = all_1335_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1266_1, all_1544_1, all_681_0,
% 230.29/38.12 | simplifying with (2194), (2231) gives:
% 230.29/38.12 | (2330) all_1544_1 = all_1266_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1254_2, all_1544_1, all_681_0,
% 230.29/38.12 | simplifying with (2194), (2235) gives:
% 230.29/38.12 | (2331) all_1544_1 = all_1254_2
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1502_1, all_1546_1, all_681_0,
% 230.29/38.12 | simplifying with (2193), (2201) gives:
% 230.29/38.12 | (2332) all_1546_1 = all_1502_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1115_1, all_1546_1, all_681_0,
% 230.29/38.12 | simplifying with (2193), (2252) gives:
% 230.29/38.12 | (2333) all_1546_1 = all_1115_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1532_1, all_1551_3, all_681_0,
% 230.29/38.12 | simplifying with (2191), (2195) gives:
% 230.29/38.12 | (2334) all_1551_3 = all_1532_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1523_1, all_1551_3, all_681_0,
% 230.29/38.12 | simplifying with (2191), (2197) gives:
% 230.29/38.12 | (2335) all_1551_3 = all_1523_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1412_2, all_1551_3, all_681_0,
% 230.29/38.12 | simplifying with (2191), (2210) gives:
% 230.29/38.12 | (2336) all_1551_3 = all_1412_2
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1257_1, all_1551_3, all_681_0,
% 230.29/38.12 | simplifying with (2191), (2234) gives:
% 230.29/38.12 | (2337) all_1551_3 = all_1257_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1421_2, all_1554_2, all_681_0,
% 230.29/38.12 | simplifying with (2190), (2208) gives:
% 230.29/38.12 | (2338) all_1554_2 = all_1421_2
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1388_2, all_1554_2, all_681_0,
% 230.29/38.12 | simplifying with (2190), (2216) gives:
% 230.29/38.12 | (2339) all_1554_2 = all_1388_2
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1281_2, all_1554_2, all_681_0,
% 230.29/38.12 | simplifying with (2190), (2229) gives:
% 230.29/38.12 | (2340) all_1554_2 = all_1281_2
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1177_0, all_1554_2, all_681_0,
% 230.29/38.12 | simplifying with (2190), (2244) gives:
% 230.29/38.12 | (2341) all_1554_2 = all_1177_0
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1548_2, all_1569_1, all_681_0,
% 230.29/38.12 | simplifying with (2189), (2192) gives:
% 230.29/38.12 | (2342) all_1569_1 = all_1548_2
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1490_1, all_1569_1, all_681_0,
% 230.29/38.12 | simplifying with (2189), (2204) gives:
% 230.29/38.12 | (2343) all_1569_1 = all_1490_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1400_1, all_1569_1, all_681_0,
% 230.29/38.12 | simplifying with (2189), (2212) gives:
% 230.29/38.12 | (2344) all_1569_1 = all_1400_1
% 230.29/38.12 |
% 230.29/38.12 | GROUND_INST: instantiating (292) with all_1015_1, all_1569_1, all_681_0,
% 230.29/38.12 | simplifying with (2189), (2258) gives:
% 230.29/38.12 | (2345) all_1569_1 = all_1015_1
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2342), (2345) imply:
% 230.29/38.12 | (2346) all_1548_2 = all_1015_1
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2342), (2344) imply:
% 230.29/38.12 | (2347) all_1548_2 = all_1400_1
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2342), (2343) imply:
% 230.29/38.12 | (2348) all_1548_2 = all_1490_1
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2339), (2341) imply:
% 230.29/38.12 | (2349) all_1388_2 = all_1177_0
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2339), (2340) imply:
% 230.29/38.12 | (2350) all_1388_2 = all_1281_2
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2338), (2339) imply:
% 230.29/38.12 | (2351) all_1421_2 = all_1388_2
% 230.29/38.12 |
% 230.29/38.12 | SIMP: (2351) implies:
% 230.29/38.12 | (2352) all_1421_2 = all_1388_2
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2334), (2336) imply:
% 230.29/38.12 | (2353) all_1532_1 = all_1412_2
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2334), (2337) imply:
% 230.29/38.12 | (2354) all_1532_1 = all_1257_1
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2334), (2335) imply:
% 230.29/38.12 | (2355) all_1532_1 = all_1523_1
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2347), (2348) imply:
% 230.29/38.12 | (2356) all_1490_1 = all_1400_1
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2346), (2348) imply:
% 230.29/38.12 | (2357) all_1490_1 = all_1015_1
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2332), (2333) imply:
% 230.29/38.12 | (2358) all_1502_1 = all_1115_1
% 230.29/38.12 |
% 230.29/38.12 | SIMP: (2358) implies:
% 230.29/38.12 | (2359) all_1502_1 = all_1115_1
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2330), (2331) imply:
% 230.29/38.12 | (2360) all_1266_1 = all_1254_2
% 230.29/38.12 |
% 230.29/38.12 | SIMP: (2360) implies:
% 230.29/38.12 | (2361) all_1266_1 = all_1254_2
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2329), (2331) imply:
% 230.29/38.12 | (2362) all_1335_1 = all_1254_2
% 230.29/38.12 |
% 230.29/38.12 | SIMP: (2362) implies:
% 230.29/38.12 | (2363) all_1335_1 = all_1254_2
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2354), (2355) imply:
% 230.29/38.12 | (2364) all_1523_1 = all_1257_1
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2353), (2355) imply:
% 230.29/38.12 | (2365) all_1523_1 = all_1412_2
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2327), (2328) imply:
% 230.29/38.12 | (2366) all_1517_3 = all_1091_0
% 230.29/38.12 |
% 230.29/38.12 | SIMP: (2366) implies:
% 230.29/38.12 | (2367) all_1517_3 = all_1091_0
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2364), (2365) imply:
% 230.29/38.12 | (2368) all_1412_2 = all_1257_1
% 230.29/38.12 |
% 230.29/38.12 | SIMP: (2368) implies:
% 230.29/38.12 | (2369) all_1412_2 = all_1257_1
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2325), (2326) imply:
% 230.29/38.12 | (2370) all_1469_2 = all_1191_1
% 230.29/38.12 |
% 230.29/38.12 | SIMP: (2370) implies:
% 230.29/38.12 | (2371) all_1469_2 = all_1191_1
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2324), (2367) imply:
% 230.29/38.12 | (2372) all_1514_6 = all_1091_0
% 230.29/38.12 |
% 230.29/38.12 | SIMP: (2372) implies:
% 230.29/38.12 | (2373) all_1514_6 = all_1091_0
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2323), (2373) imply:
% 230.29/38.12 | (2374) all_1496_1 = all_1091_0
% 230.29/38.12 |
% 230.29/38.12 | SIMP: (2374) implies:
% 230.29/38.12 | (2375) all_1496_1 = all_1091_0
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2322), (2359) imply:
% 230.29/38.12 | (2376) all_1499_1 = all_1115_1
% 230.29/38.12 |
% 230.29/38.12 | SIMP: (2376) implies:
% 230.29/38.12 | (2377) all_1499_1 = all_1115_1
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2321), (2377) imply:
% 230.29/38.12 | (2378) all_1487_1 = all_1115_1
% 230.29/38.12 |
% 230.29/38.12 | SIMP: (2378) implies:
% 230.29/38.12 | (2379) all_1487_1 = all_1115_1
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2320), (2375) imply:
% 230.29/38.12 | (2380) all_1394_2 = all_1091_0
% 230.29/38.12 |
% 230.29/38.12 | SIMP: (2380) implies:
% 230.29/38.12 | (2381) all_1394_2 = all_1091_0
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2356), (2357) imply:
% 230.29/38.12 | (2382) all_1400_1 = all_1015_1
% 230.29/38.12 |
% 230.29/38.12 | SIMP: (2382) implies:
% 230.29/38.12 | (2383) all_1400_1 = all_1015_1
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2319), (2379) imply:
% 230.29/38.12 | (2384) all_1421_2 = all_1115_1
% 230.29/38.12 |
% 230.29/38.12 | SIMP: (2384) implies:
% 230.29/38.12 | (2385) all_1421_2 = all_1115_1
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2318), (2371) imply:
% 230.29/38.12 | (2386) all_1397_2 = all_1191_1
% 230.29/38.12 |
% 230.29/38.12 | SIMP: (2386) implies:
% 230.29/38.12 | (2387) all_1397_2 = all_1191_1
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2316), (2317) imply:
% 230.29/38.12 | (2388) all_1415_2 = all_976_1
% 230.29/38.12 |
% 230.29/38.12 | SIMP: (2388) implies:
% 230.29/38.12 | (2389) all_1415_2 = all_976_1
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2352), (2385) imply:
% 230.29/38.12 | (2390) all_1388_2 = all_1115_1
% 230.29/38.12 |
% 230.29/38.12 | SIMP: (2390) implies:
% 230.29/38.12 | (2391) all_1388_2 = all_1115_1
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2315), (2389) imply:
% 230.29/38.12 | (2392) all_1188_1 = all_976_1
% 230.29/38.12 |
% 230.29/38.12 | SIMP: (2392) implies:
% 230.29/38.12 | (2393) all_1188_1 = all_976_1
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2314), (2369) imply:
% 230.29/38.12 | (2394) all_1406_2 = all_1257_1
% 230.29/38.12 |
% 230.29/38.12 | SIMP: (2394) implies:
% 230.29/38.12 | (2395) all_1406_2 = all_1257_1
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2313), (2395) imply:
% 230.29/38.12 | (2396) all_1382_1 = all_1257_1
% 230.29/38.12 |
% 230.29/38.12 | SIMP: (2396) implies:
% 230.29/38.12 | (2397) all_1382_1 = all_1257_1
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2312), (2383) imply:
% 230.29/38.12 | (2398) all_1323_2 = all_1015_1
% 230.29/38.12 |
% 230.29/38.12 | SIMP: (2398) implies:
% 230.29/38.12 | (2399) all_1323_2 = all_1015_1
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2311), (2387) imply:
% 230.29/38.12 | (2400) all_1326_1 = all_1191_1
% 230.29/38.12 |
% 230.29/38.12 | SIMP: (2400) implies:
% 230.29/38.12 | (2401) all_1326_1 = all_1191_1
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2310), (2381) imply:
% 230.29/38.12 | (2402) all_1391_1 = all_1091_0
% 230.29/38.12 |
% 230.29/38.12 | SIMP: (2402) implies:
% 230.29/38.12 | (2403) all_1391_1 = all_1091_0
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2309), (2403) imply:
% 230.29/38.12 | (2404) all_1364_1 = all_1091_0
% 230.29/38.12 |
% 230.29/38.12 | SIMP: (2404) implies:
% 230.29/38.12 | (2405) all_1364_1 = all_1091_0
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2350), (2391) imply:
% 230.29/38.12 | (2406) all_1281_2 = all_1115_1
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2349), (2350) imply:
% 230.29/38.12 | (2407) all_1281_2 = all_1177_0
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2308), (2397) imply:
% 230.29/38.12 | (2408) all_1358_0 = all_1257_1
% 230.29/38.12 |
% 230.29/38.12 | SIMP: (2408) implies:
% 230.29/38.12 | (2409) all_1358_0 = all_1257_1
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2307), (2405) imply:
% 230.29/38.12 | (2410) all_1347_1 = all_1091_0
% 230.29/38.12 |
% 230.29/38.12 | SIMP: (2410) implies:
% 230.29/38.12 | (2411) all_1347_1 = all_1091_0
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2306), (2409) imply:
% 230.29/38.12 | (2412) all_1335_1 = all_1257_1
% 230.29/38.12 |
% 230.29/38.12 | SIMP: (2412) implies:
% 230.29/38.12 | (2413) all_1335_1 = all_1257_1
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2305), (2411) imply:
% 230.29/38.12 | (2414) all_1314_1 = all_1091_0
% 230.29/38.12 |
% 230.29/38.12 | SIMP: (2414) implies:
% 230.29/38.12 | (2415) all_1314_1 = all_1091_0
% 230.29/38.12 |
% 230.29/38.12 | COMBINE_EQS: (2303), (2304) imply:
% 230.29/38.12 | (2416) all_1197_1 = all_1118_1
% 230.29/38.12 |
% 230.29/38.12 | SIMP: (2416) implies:
% 230.29/38.13 | (2417) all_1197_1 = all_1118_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2301), (2413) imply:
% 230.29/38.13 | (2418) all_1257_1 = all_1197_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2300), (2413) imply:
% 230.29/38.13 | (2419) all_1257_1 = all_1203_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2363), (2413) imply:
% 230.29/38.13 | (2420) all_1257_1 = all_1254_2
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2302), (2413) imply:
% 230.29/38.13 | (2421) all_1257_1 = all_1180_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2299), (2401) imply:
% 230.29/38.13 | (2422) all_1320_1 = all_1191_1
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2422) implies:
% 230.29/38.13 | (2423) all_1320_1 = all_1191_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2298), (2399) imply:
% 230.29/38.13 | (2424) all_1311_1 = all_1015_1
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2424) implies:
% 230.29/38.13 | (2425) all_1311_1 = all_1015_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2297), (2423) imply:
% 230.29/38.13 | (2426) all_1269_1 = all_1191_1
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2426) implies:
% 230.29/38.13 | (2427) all_1269_1 = all_1191_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2296), (2415) imply:
% 230.29/38.13 | (2428) all_1263_2 = all_1091_0
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2428) implies:
% 230.29/38.13 | (2429) all_1263_2 = all_1091_0
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2295), (2425) imply:
% 230.29/38.13 | (2430) all_1302_1 = all_1015_1
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2430) implies:
% 230.29/38.13 | (2431) all_1302_1 = all_1015_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2293), (2431) imply:
% 230.29/38.13 | (2432) all_1024_1 = all_1015_1
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2432) implies:
% 230.29/38.13 | (2433) all_1024_1 = all_1015_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2294), (2431) imply:
% 230.29/38.13 | (2434) all_1015_1 = all_984_0
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2292), (2431) imply:
% 230.29/38.13 | (2435) all_1156_1 = all_1015_1
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2435) implies:
% 230.29/38.13 | (2436) all_1156_1 = all_1015_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2406), (2407) imply:
% 230.29/38.13 | (2437) all_1177_0 = all_1115_1
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2437) implies:
% 230.29/38.13 | (2438) all_1177_0 = all_1115_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2291), (2427) imply:
% 230.29/38.13 | (2439) all_1266_1 = all_1191_1
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2439) implies:
% 230.29/38.13 | (2440) all_1266_1 = all_1191_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2361), (2440) imply:
% 230.29/38.13 | (2441) all_1254_2 = all_1191_1
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2441) implies:
% 230.29/38.13 | (2442) all_1254_2 = all_1191_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2290), (2429) imply:
% 230.29/38.13 | (2443) all_1260_0 = all_1091_0
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2443) implies:
% 230.29/38.13 | (2444) all_1260_0 = all_1091_0
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2289), (2444) imply:
% 230.29/38.13 | (2445) all_1245_1 = all_1091_0
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2445) implies:
% 230.29/38.13 | (2446) all_1245_1 = all_1091_0
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2418), (2419) imply:
% 230.29/38.13 | (2447) all_1203_1 = all_1197_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2419), (2421) imply:
% 230.29/38.13 | (2448) all_1203_1 = all_1180_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2419), (2420) imply:
% 230.29/38.13 | (2449) all_1254_2 = all_1203_1
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2449) implies:
% 230.29/38.13 | (2450) all_1254_2 = all_1203_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2442), (2450) imply:
% 230.29/38.13 | (2451) all_1203_1 = all_1191_1
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2451) implies:
% 230.29/38.13 | (2452) all_1203_1 = all_1191_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2288), (2446) imply:
% 230.29/38.13 | (2453) all_1212_1 = all_1091_0
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2453) implies:
% 230.29/38.13 | (2454) all_1212_1 = all_1091_0
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2287), (2454) imply:
% 230.29/38.13 | (2455) all_1209_1 = all_1091_0
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2455) implies:
% 230.29/38.13 | (2456) all_1209_1 = all_1091_0
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2286), (2456) imply:
% 230.29/38.13 | (2457) all_1159_1 = all_1091_0
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2457) implies:
% 230.29/38.13 | (2458) all_1159_1 = all_1091_0
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2447), (2452) imply:
% 230.29/38.13 | (2459) all_1197_1 = all_1191_1
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2459) implies:
% 230.29/38.13 | (2460) all_1197_1 = all_1191_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2448), (2452) imply:
% 230.29/38.13 | (2461) all_1191_1 = all_1180_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2417), (2460) imply:
% 230.29/38.13 | (2462) all_1191_1 = all_1118_1
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2462) implies:
% 230.29/38.13 | (2463) all_1191_1 = all_1118_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2461), (2463) imply:
% 230.29/38.13 | (2464) all_1180_1 = all_1118_1
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2464) implies:
% 230.29/38.13 | (2465) all_1180_1 = all_1118_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2285), (2393) imply:
% 230.29/38.13 | (2466) all_1156_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2466) implies:
% 230.29/38.13 | (2467) all_1156_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2284), (2465) imply:
% 230.29/38.13 | (2468) all_1162_0 = all_1118_1
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2468) implies:
% 230.29/38.13 | (2469) all_1162_0 = all_1118_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2282), (2438) imply:
% 230.29/38.13 | (2470) all_1115_1 = all_1099_2
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2281), (2438) imply:
% 230.29/38.13 | (2471) all_1159_1 = all_1115_1
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2471) implies:
% 230.29/38.13 | (2472) all_1159_1 = all_1115_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2283), (2438) imply:
% 230.29/38.13 | (2473) all_1115_1 = all_1024_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2280), (2469) imply:
% 230.29/38.13 | (2474) all_1138_0 = all_1118_1
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2474) implies:
% 230.29/38.13 | (2475) all_1138_0 = all_1118_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2458), (2472) imply:
% 230.29/38.13 | (2476) all_1115_1 = all_1091_0
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2476) implies:
% 230.29/38.13 | (2477) all_1115_1 = all_1091_0
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2436), (2467) imply:
% 230.29/38.13 | (2478) all_1015_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2478) implies:
% 230.29/38.13 | (2479) all_1015_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2279), (2475) imply:
% 230.29/38.13 | (2480) all_1129_2 = all_1118_1
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2480) implies:
% 230.29/38.13 | (2481) all_1129_2 = all_1118_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2278), (2481) imply:
% 230.29/38.13 | (2482) all_1127_2 = all_1118_1
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2482) implies:
% 230.29/38.13 | (2483) all_1127_2 = all_1118_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2277), (2483) imply:
% 230.29/38.13 | (2484) all_1118_1 = all_1005_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2276), (2483) imply:
% 230.29/38.13 | (2485) all_1118_1 = all_1112_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2484), (2485) imply:
% 230.29/38.13 | (2486) all_1112_1 = all_1005_1
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2486) implies:
% 230.29/38.13 | (2487) all_1112_1 = all_1005_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2470), (2477) imply:
% 230.29/38.13 | (2488) all_1099_2 = all_1091_0
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2488) implies:
% 230.29/38.13 | (2489) all_1099_2 = all_1091_0
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2473), (2477) imply:
% 230.29/38.13 | (2490) all_1091_0 = all_1024_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2275), (2487) imply:
% 230.29/38.13 | (2491) all_1101_2 = all_1005_1
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2491) implies:
% 230.29/38.13 | (2492) all_1101_2 = all_1005_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2274), (2492) imply:
% 230.29/38.13 | (2493) all_1099_2 = all_1005_1
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2493) implies:
% 230.29/38.13 | (2494) all_1099_2 = all_1005_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2489), (2494) imply:
% 230.29/38.13 | (2495) all_1091_0 = all_1005_1
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2495) implies:
% 230.29/38.13 | (2496) all_1091_0 = all_1005_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2490), (2496) imply:
% 230.29/38.13 | (2497) all_1024_1 = all_1005_1
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2497) implies:
% 230.29/38.13 | (2498) all_1024_1 = all_1005_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2433), (2498) imply:
% 230.29/38.13 | (2499) all_1015_1 = all_1005_1
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2499) implies:
% 230.29/38.13 | (2500) all_1015_1 = all_1005_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2434), (2500) imply:
% 230.29/38.13 | (2501) all_1005_1 = all_984_0
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2479), (2500) imply:
% 230.29/38.13 | (2502) all_1005_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2501), (2502) imply:
% 230.29/38.13 | (2503) all_984_0 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | SIMP: (2503) implies:
% 230.29/38.13 | (2504) all_984_0 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2498), (2502) imply:
% 230.29/38.13 | (2505) all_1024_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2496), (2502) imply:
% 230.29/38.13 | (2506) all_1091_0 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2494), (2502) imply:
% 230.29/38.13 | (2507) all_1099_2 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2492), (2502) imply:
% 230.29/38.13 | (2508) all_1101_2 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2487), (2502) imply:
% 230.29/38.13 | (2509) all_1112_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2477), (2506) imply:
% 230.29/38.13 | (2510) all_1115_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2484), (2502) imply:
% 230.29/38.13 | (2511) all_1118_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2483), (2511) imply:
% 230.29/38.13 | (2512) all_1127_2 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2481), (2511) imply:
% 230.29/38.13 | (2513) all_1129_2 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2458), (2506) imply:
% 230.29/38.13 | (2514) all_1159_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2465), (2511) imply:
% 230.29/38.13 | (2515) all_1180_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2463), (2511) imply:
% 230.29/38.13 | (2516) all_1191_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2417), (2511) imply:
% 230.29/38.13 | (2517) all_1197_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2452), (2516) imply:
% 230.29/38.13 | (2518) all_1203_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2456), (2506) imply:
% 230.29/38.13 | (2519) all_1209_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2454), (2506) imply:
% 230.29/38.13 | (2520) all_1212_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2446), (2506) imply:
% 230.29/38.13 | (2521) all_1245_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2442), (2516) imply:
% 230.29/38.13 | (2522) all_1254_2 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2419), (2518) imply:
% 230.29/38.13 | (2523) all_1257_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2429), (2506) imply:
% 230.29/38.13 | (2524) all_1263_2 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2440), (2516) imply:
% 230.29/38.13 | (2525) all_1266_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2427), (2516) imply:
% 230.29/38.13 | (2526) all_1269_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2406), (2510) imply:
% 230.29/38.13 | (2527) all_1281_2 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2431), (2479) imply:
% 230.29/38.13 | (2528) all_1302_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2425), (2479) imply:
% 230.29/38.13 | (2529) all_1311_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2415), (2506) imply:
% 230.29/38.13 | (2530) all_1314_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2423), (2516) imply:
% 230.29/38.13 | (2531) all_1320_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2399), (2479) imply:
% 230.29/38.13 | (2532) all_1323_2 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2401), (2516) imply:
% 230.29/38.13 | (2533) all_1326_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2413), (2523) imply:
% 230.29/38.13 | (2534) all_1335_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2304), (2511) imply:
% 230.29/38.13 | (2535) all_1338_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2411), (2506) imply:
% 230.29/38.13 | (2536) all_1347_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2405), (2506) imply:
% 230.29/38.13 | (2537) all_1364_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2397), (2523) imply:
% 230.29/38.13 | (2538) all_1382_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2350), (2527) imply:
% 230.29/38.13 | (2539) all_1388_2 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2403), (2506) imply:
% 230.29/38.13 | (2540) all_1391_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2381), (2506) imply:
% 230.29/38.13 | (2541) all_1394_2 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2387), (2516) imply:
% 230.29/38.13 | (2542) all_1397_2 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2383), (2479) imply:
% 230.29/38.13 | (2543) all_1400_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2395), (2523) imply:
% 230.29/38.13 | (2544) all_1406_2 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2369), (2523) imply:
% 230.29/38.13 | (2545) all_1412_2 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2385), (2510) imply:
% 230.29/38.13 | (2546) all_1421_2 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2371), (2516) imply:
% 230.29/38.13 | (2547) all_1469_2 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2379), (2510) imply:
% 230.29/38.13 | (2548) all_1487_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2357), (2479) imply:
% 230.29/38.13 | (2549) all_1490_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2375), (2506) imply:
% 230.29/38.13 | (2550) all_1496_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2377), (2510) imply:
% 230.29/38.13 | (2551) all_1499_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2359), (2510) imply:
% 230.29/38.13 | (2552) all_1502_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2373), (2506) imply:
% 230.29/38.13 | (2553) all_1514_6 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2367), (2506) imply:
% 230.29/38.13 | (2554) all_1517_3 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2326), (2516) imply:
% 230.29/38.13 | (2555) all_1520_2 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2364), (2523) imply:
% 230.29/38.13 | (2556) all_1523_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2328), (2506) imply:
% 230.29/38.13 | (2557) all_1526_4 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2355), (2556) imply:
% 230.29/38.13 | (2558) all_1532_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2331), (2522) imply:
% 230.29/38.13 | (2559) all_1544_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2333), (2510) imply:
% 230.29/38.13 | (2560) all_1546_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2348), (2549) imply:
% 230.29/38.13 | (2561) all_1548_2 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2334), (2558) imply:
% 230.29/38.13 | (2562) all_1551_3 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2339), (2539) imply:
% 230.29/38.13 | (2563) all_1554_2 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | COMBINE_EQS: (2342), (2561) imply:
% 230.29/38.13 | (2564) all_1569_1 = all_976_1
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (1056), (2564) imply:
% 230.29/38.13 | (2565) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1569_0
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (1040), (2562) imply:
% 230.29/38.13 | (2566) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1551_0
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (1035), (2561) imply:
% 230.29/38.13 | (2567) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1548_0
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (1014), (2558) imply:
% 230.29/38.13 | (2568) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1532_0
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (1008), (2557) imply:
% 230.29/38.13 | (2569) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1526_0
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (1002), (2556) imply:
% 230.29/38.13 | (2570) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1523_0
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (997), (2555) imply:
% 230.29/38.13 | (2571) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1520_1
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (992), (2554) imply:
% 230.29/38.13 | (2572) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1517_2
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (987), (2553) imply:
% 230.29/38.13 | (2573) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1514_2
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (976), (2552) imply:
% 230.29/38.13 | (2574) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1502_0
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (972), (2551) imply:
% 230.29/38.13 | (2575) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1499_0
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (968), (2550) imply:
% 230.29/38.13 | (2576) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1496_0
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (962), (2549) imply:
% 230.29/38.13 | (2577) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1490_0
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (958), (2548) imply:
% 230.29/38.13 | (2578) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1487_0
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (944), (2547) imply:
% 230.29/38.13 | (2579) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1469_1
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (924), (2317) imply:
% 230.29/38.13 | (2580) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1442_1
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (906), (2546) imply:
% 230.29/38.13 | (2581) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1421_1
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (899), (2389) imply:
% 230.29/38.13 | (2582) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1415_1
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (895), (2545) imply:
% 230.29/38.13 | (2583) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1412_1
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (888), (2544) imply:
% 230.29/38.13 | (2584) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1406_1
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (882), (2543) imply:
% 230.29/38.13 | (2585) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1400_0
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (878), (2542) imply:
% 230.29/38.13 | (2586) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1397_1
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (873), (2541) imply:
% 230.29/38.13 | (2587) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1394_1
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (869), (2540) imply:
% 230.29/38.13 | (2588) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1391_0
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (865), (2539) imply:
% 230.29/38.13 | (2589) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1388_1
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (858), (2538) imply:
% 230.29/38.13 | (2590) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1382_0
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (844), (2537) imply:
% 230.29/38.13 | (2591) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1364_0
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (832), (2536) imply:
% 230.29/38.13 | (2592) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1347_0
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (824), (2535) imply:
% 230.29/38.13 | (2593) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1338_0
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (819), (2534) imply:
% 230.29/38.13 | (2594) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1335_0
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (811), (2533) imply:
% 230.29/38.13 | (2595) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1326_0
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (807), (2532) imply:
% 230.29/38.13 | (2596) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1323_1
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (803), (2531) imply:
% 230.29/38.13 | (2597) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1320_0
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (797), (2530) imply:
% 230.29/38.13 | (2598) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1314_0
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (784), (2528) imply:
% 230.29/38.13 | (2599) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1302_0
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (759), (2526) imply:
% 230.29/38.13 | (2600) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1269_0
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (754), (2525) imply:
% 230.29/38.13 | (2601) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1266_0
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (742), (2523) imply:
% 230.29/38.13 | (2602) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1257_0
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (738), (2522) imply:
% 230.29/38.13 | (2603) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1254_1
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (733), (2521) imply:
% 230.29/38.13 | (2604) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1245_0
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (707), (2520) imply:
% 230.29/38.13 | (2605) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1212_0
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (703), (2519) imply:
% 230.29/38.13 | (2606) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1209_0
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (697), (2518) imply:
% 230.29/38.13 | (2607) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.13 | all_1203_0
% 230.29/38.13 |
% 230.29/38.13 | REDUCE: (691), (2517) imply:
% 230.29/38.14 | (2608) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.14 | all_1197_0
% 230.29/38.14 |
% 230.29/38.14 | REDUCE: (675), (2515) imply:
% 230.29/38.14 | (2609) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.14 | all_1180_0
% 230.29/38.14 |
% 230.29/38.14 | REDUCE: (659), (2514) imply:
% 230.29/38.14 | (2610) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.14 | all_1159_0
% 230.29/38.14 |
% 230.29/38.14 | REDUCE: (655), (2467) imply:
% 230.29/38.14 | (2611) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.14 | all_1156_0
% 230.29/38.14 |
% 230.29/38.14 | REDUCE: (634), (2513) imply:
% 230.29/38.14 | (2612) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.14 | all_1129_1
% 230.29/38.14 |
% 230.29/38.14 | REDUCE: (620), (2511) imply:
% 230.29/38.14 | (2613) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.14 | all_1118_0
% 230.29/38.14 |
% 230.29/38.14 | REDUCE: (611), (2509) imply:
% 230.29/38.14 | (2614) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.14 | all_1112_0
% 230.29/38.14 |
% 230.29/38.14 | REDUCE: (526), (2479) imply:
% 230.29/38.14 | (2615) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.14 | all_1015_0
% 230.29/38.14 |
% 230.29/38.14 | REDUCE: (514), (2502) imply:
% 230.29/38.14 | (2616) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) =
% 230.29/38.14 | all_1005_0
% 230.29/38.14 |
% 230.29/38.14 | REDUCE: (495), (2504) imply:
% 230.29/38.14 | (2617) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_976_1) = all_984_2
% 230.29/38.14 |
% 230.29/38.14 | REDUCE: (769), (2527) imply:
% 230.29/38.14 | (2618) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_976_1) =
% 230.29/38.14 | all_1281_1
% 230.29/38.14 |
% 230.29/38.14 | REDUCE: (1044), (2563) imply:
% 230.29/38.14 | (2619) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_976_1) =
% 230.29/38.14 | all_1554_1
% 230.29/38.14 |
% 230.29/38.14 | REDUCE: (1039), (2562) imply:
% 230.29/38.14 | (2620) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_976_1) =
% 230.29/38.14 | all_1551_2
% 230.29/38.14 |
% 230.29/38.14 | REDUCE: (1034), (2561) imply:
% 230.29/38.14 | (2621) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_976_1) =
% 230.29/38.14 | all_1548_1
% 230.29/38.14 |
% 230.29/38.14 | REDUCE: (1029), (2560) imply:
% 230.29/38.14 | (2622) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_976_1) =
% 230.29/38.14 | all_1546_0
% 230.29/38.14 |
% 230.29/38.14 | REDUCE: (1025), (2559) imply:
% 230.29/38.14 | (2623) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_976_1) =
% 230.29/38.14 | all_1544_0
% 230.29/38.14 |
% 230.29/38.14 | REDUCE: (1007), (2557) imply:
% 230.29/38.14 | (2624) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_976_1) =
% 230.29/38.14 | all_1526_3
% 230.29/38.14 |
% 230.29/38.14 | REDUCE: (991), (2554) imply:
% 230.29/38.14 | (2625) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_976_1) =
% 230.29/38.14 | all_1517_1
% 230.29/38.14 |
% 230.29/38.14 | REDUCE: (986), (2553) imply:
% 230.29/38.14 | (2626) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_976_1) =
% 230.29/38.14 | all_1514_1
% 230.29/38.14 |
% 230.29/38.14 | REDUCE: (793), (2529) imply:
% 230.29/38.14 | (2627) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_976_1) =
% 230.29/38.14 | all_1311_0
% 230.29/38.14 |
% 230.29/38.14 | REDUCE: (750), (2524) imply:
% 230.29/38.14 | (2628) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_976_1) =
% 230.29/38.14 | all_1263_1
% 230.29/38.14 |
% 230.29/38.14 | REDUCE: (685), (2516) imply:
% 230.29/38.14 | (2629) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_976_1) =
% 230.29/38.14 | all_1191_0
% 230.29/38.14 |
% 230.29/38.14 | REDUCE: (681), (2393) imply:
% 230.29/38.14 | (2630) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_976_1) =
% 230.29/38.14 | all_1188_0
% 230.29/38.14 |
% 230.29/38.14 | REDUCE: (630), (2512) imply:
% 230.29/38.14 | (2631) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_976_1) =
% 230.29/38.14 | all_1127_1
% 230.29/38.14 |
% 230.29/38.14 | REDUCE: (616), (2510) imply:
% 230.29/38.14 | (2632) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_976_1) =
% 230.29/38.14 | all_1115_0
% 230.29/38.14 |
% 230.29/38.14 | REDUCE: (600), (2508) imply:
% 230.29/38.14 | (2633) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_976_1) =
% 230.29/38.14 | all_1101_1
% 230.29/38.14 |
% 230.29/38.14 | REDUCE: (595), (2507) imply:
% 230.29/38.14 | (2634) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_976_1) =
% 230.29/38.14 | all_1099_1
% 230.29/38.14 |
% 230.29/38.14 | REDUCE: (534), (2505) imply:
% 230.29/38.14 | (2635) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_976_1) =
% 230.29/38.14 | all_1024_0
% 230.29/38.14 |
% 230.29/38.14 | REDUCE: (494), (2504) imply:
% 230.29/38.14 | (2636) $i(all_976_1)
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1101_1, all_1127_1, all_976_1,
% 230.29/38.14 | tc_RealDef_Oreal, simplifying with (2631), (2633) gives:
% 230.29/38.14 | (2637) all_1127_1 = all_1101_1
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1127_1, all_1188_0, all_976_1,
% 230.29/38.14 | tc_RealDef_Oreal, simplifying with (2630), (2631) gives:
% 230.29/38.14 | (2638) all_1188_0 = all_1127_1
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1127_1, all_1191_0, all_976_1,
% 230.29/38.14 | tc_RealDef_Oreal, simplifying with (2629), (2631) gives:
% 230.29/38.14 | (2639) all_1191_0 = all_1127_1
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1101_1, all_1517_1, all_976_1,
% 230.29/38.14 | tc_RealDef_Oreal, simplifying with (2625), (2633) gives:
% 230.29/38.14 | (2640) all_1517_1 = all_1101_1
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1099_1, all_1517_1, all_976_1,
% 230.29/38.14 | tc_RealDef_Oreal, simplifying with (2625), (2634) gives:
% 230.29/38.14 | (2641) all_1517_1 = all_1099_1
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1191_0, all_1526_3, all_976_1,
% 230.29/38.14 | tc_RealDef_Oreal, simplifying with (2624), (2629) gives:
% 230.29/38.14 | (2642) all_1526_3 = all_1191_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1115_0, all_1526_3, all_976_1,
% 230.29/38.14 | tc_RealDef_Oreal, simplifying with (2624), (2632) gives:
% 230.29/38.14 | (2643) all_1526_3 = all_1115_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1514_1, all_1544_0, all_976_1,
% 230.29/38.14 | tc_RealDef_Oreal, simplifying with (2623), (2626) gives:
% 230.29/38.14 | (2644) all_1544_0 = all_1514_1
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1546_0, all_1548_1, all_976_1,
% 230.29/38.14 | tc_RealDef_Oreal, simplifying with (2621), (2622) gives:
% 230.29/38.14 | (2645) all_1548_1 = all_1546_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1544_0, all_1548_1, all_976_1,
% 230.29/38.14 | tc_RealDef_Oreal, simplifying with (2621), (2623) gives:
% 230.29/38.14 | (2646) all_1548_1 = all_1544_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1548_1, all_1551_2, all_976_1,
% 230.29/38.14 | tc_RealDef_Oreal, simplifying with (2620), (2621) gives:
% 230.29/38.14 | (2647) all_1551_2 = all_1548_1
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1024_0, all_1551_2, all_976_1,
% 230.29/38.14 | tc_RealDef_Oreal, simplifying with (2620), (2635) gives:
% 230.29/38.14 | (2648) all_1551_2 = all_1024_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1514_1, all_1554_1, all_976_1,
% 230.29/38.14 | tc_RealDef_Oreal, simplifying with (2619), (2626) gives:
% 230.29/38.14 | (2649) all_1554_1 = all_1514_1
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1311_0, all_1554_1, all_976_1,
% 230.29/38.14 | tc_RealDef_Oreal, simplifying with (2619), (2627) gives:
% 230.29/38.14 | (2650) all_1554_1 = all_1311_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1263_1, all_1554_1, all_976_1,
% 230.29/38.14 | tc_RealDef_Oreal, simplifying with (2619), (2628) gives:
% 230.29/38.14 | (2651) all_1554_1 = all_1263_1
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1188_0, all_1554_1, all_976_1,
% 230.29/38.14 | tc_RealDef_Oreal, simplifying with (2619), (2630) gives:
% 230.29/38.14 | (2652) all_1554_1 = all_1188_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_976_0, all_1281_1, all_976_1,
% 230.29/38.14 | tc_Int_Oint, simplifying with (486), (2618) gives:
% 230.29/38.14 | (2653) all_1281_1 = all_976_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1005_0, all_1015_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2615), (2616) gives:
% 230.29/38.14 | (2654) all_1015_0 = all_1005_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1197_0, all_1203_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2607), (2608) gives:
% 230.29/38.14 | (2655) all_1203_0 = all_1197_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1156_0, all_1209_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2606), (2611) gives:
% 230.29/38.14 | (2656) all_1209_0 = all_1156_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1118_0, all_1209_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2606), (2613) gives:
% 230.29/38.14 | (2657) all_1209_0 = all_1118_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1254_1, all_1257_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2602), (2603) gives:
% 230.29/38.14 | (2658) all_1257_0 = all_1254_1
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1257_0, all_1266_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2601), (2602) gives:
% 230.29/38.14 | (2659) all_1266_0 = all_1257_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1266_0, all_1302_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2599), (2601) gives:
% 230.29/38.14 | (2660) all_1302_0 = all_1266_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1302_0, all_1314_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2598), (2599) gives:
% 230.29/38.14 | (2661) all_1314_0 = all_1302_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1314_0, all_1320_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2597), (2598) gives:
% 230.29/38.14 | (2662) all_1320_0 = all_1314_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1338_0, all_1347_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2592), (2593) gives:
% 230.29/38.14 | (2663) all_1347_0 = all_1338_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1326_0, all_1347_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2592), (2595) gives:
% 230.29/38.14 | (2664) all_1347_0 = all_1326_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1203_0, all_1347_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2592), (2607) gives:
% 230.29/38.14 | (2665) all_1347_0 = all_1203_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1320_0, all_1364_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2591), (2597) gives:
% 230.29/38.14 | (2666) all_1364_0 = all_1320_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1338_0, all_1382_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2590), (2593) gives:
% 230.29/38.14 | (2667) all_1382_0 = all_1338_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1364_0, all_1388_1, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2589), (2591) gives:
% 230.29/38.14 | (2668) all_1388_1 = all_1364_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1388_1, all_1391_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2588), (2589) gives:
% 230.29/38.14 | (2669) all_1391_0 = all_1388_1
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1347_0, all_1394_1, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2587), (2592) gives:
% 230.29/38.14 | (2670) all_1394_1 = all_1347_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1254_1, all_1394_1, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2587), (2603) gives:
% 230.29/38.14 | (2671) all_1394_1 = all_1254_1
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1391_0, all_1400_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2585), (2588) gives:
% 230.29/38.14 | (2672) all_1400_0 = all_1391_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1209_0, all_1406_1, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2584), (2606) gives:
% 230.29/38.14 | (2673) all_1406_1 = all_1209_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1156_0, all_1415_1, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2582), (2611) gives:
% 230.29/38.14 | (2674) all_1415_1 = all_1156_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1347_0, all_1421_1, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2581), (2592) gives:
% 230.29/38.14 | (2675) all_1421_1 = all_1347_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1335_0, all_1421_1, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2581), (2594) gives:
% 230.29/38.14 | (2676) all_1421_1 = all_1335_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1212_0, all_1421_1, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2581), (2605) gives:
% 230.29/38.14 | (2677) all_1421_1 = all_1212_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1415_1, all_1442_1, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2580), (2582) gives:
% 230.29/38.14 | (2678) all_1442_1 = all_1415_1
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1197_0, all_1442_1, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2580), (2608) gives:
% 230.29/38.14 | (2679) all_1442_1 = all_1197_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1180_0, all_1442_1, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2580), (2609) gives:
% 230.29/38.14 | (2680) all_1442_1 = all_1180_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1412_1, all_1469_1, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2579), (2583) gives:
% 230.29/38.14 | (2681) all_1469_1 = all_1412_1
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1406_1, all_1487_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2578), (2584) gives:
% 230.29/38.14 | (2682) all_1487_0 = all_1406_1
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1400_0, all_1490_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2577), (2585) gives:
% 230.29/38.14 | (2683) all_1490_0 = all_1400_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1394_1, all_1496_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2576), (2587) gives:
% 230.29/38.14 | (2684) all_1496_0 = all_1394_1
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1490_0, all_1499_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2575), (2577) gives:
% 230.29/38.14 | (2685) all_1499_0 = all_1490_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1118_0, all_1502_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2574), (2613) gives:
% 230.29/38.14 | (2686) all_1502_0 = all_1118_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1112_0, all_1502_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2574), (2614) gives:
% 230.29/38.14 | (2687) all_1502_0 = all_1112_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1015_0, all_1502_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2574), (2615) gives:
% 230.29/38.14 | (2688) all_1502_0 = all_1015_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1415_1, all_1514_2, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2573), (2582) gives:
% 230.29/38.14 | (2689) all_1514_2 = all_1415_1
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1159_0, all_1514_2, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2573), (2610) gives:
% 230.29/38.14 | (2690) all_1514_2 = all_1159_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1487_0, all_1517_2, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2572), (2578) gives:
% 230.29/38.14 | (2691) all_1517_2 = all_1487_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1129_1, all_1517_2, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2572), (2612) gives:
% 230.29/38.14 | (2692) all_1517_2 = all_1129_1
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1469_1, all_1520_1, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2571), (2579) gives:
% 230.29/38.14 | (2693) all_1520_1 = all_1469_1
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1394_1, all_1523_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2570), (2587) gives:
% 230.29/38.14 | (2694) all_1523_0 = all_1394_1
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1269_0, all_1523_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2570), (2600) gives:
% 230.29/38.14 | (2695) all_1523_0 = all_1269_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1526_0, all_1532_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2568), (2569) gives:
% 230.29/38.14 | (2696) all_1532_0 = all_1526_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1499_0, all_1532_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2568), (2575) gives:
% 230.29/38.14 | (2697) all_1532_0 = all_1499_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_984_2, all_1532_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2568), (2617) gives:
% 230.29/38.14 | (2698) all_1532_0 = all_984_2
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1412_1, all_1548_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2567), (2583) gives:
% 230.29/38.14 | (2699) all_1548_0 = all_1412_1
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1397_1, all_1548_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2567), (2586) gives:
% 230.29/38.14 | (2700) all_1548_0 = all_1397_1
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1382_0, all_1548_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2567), (2590) gives:
% 230.29/38.14 | (2701) all_1548_0 = all_1382_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1520_1, all_1551_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2566), (2571) gives:
% 230.29/38.14 | (2702) all_1551_0 = all_1520_1
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1323_1, all_1551_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2566), (2596) gives:
% 230.29/38.14 | (2703) all_1551_0 = all_1323_1
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1496_0, all_1569_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2565), (2576) gives:
% 230.29/38.14 | (2704) all_1569_0 = all_1496_0
% 230.29/38.14 |
% 230.29/38.14 | GROUND_INST: instantiating (295) with all_1245_0, all_1569_0, all_976_1,
% 230.29/38.14 | tc_Nat_Onat, simplifying with (2565), (2604) gives:
% 230.29/38.14 | (2705) all_1569_0 = all_1245_0
% 230.29/38.14 |
% 230.29/38.14 | COMBINE_EQS: (2704), (2705) imply:
% 230.29/38.14 | (2706) all_1496_0 = all_1245_0
% 230.29/38.14 |
% 230.29/38.14 | SIMP: (2706) implies:
% 230.29/38.14 | (2707) all_1496_0 = all_1245_0
% 230.29/38.14 |
% 230.29/38.14 | COMBINE_EQS: (2650), (2652) imply:
% 230.29/38.14 | (2708) all_1311_0 = all_1188_0
% 230.29/38.14 |
% 230.29/38.14 | COMBINE_EQS: (2650), (2651) imply:
% 230.29/38.14 | (2709) all_1311_0 = all_1263_1
% 230.29/38.14 |
% 230.29/38.14 | COMBINE_EQS: (2649), (2650) imply:
% 230.29/38.14 | (2710) all_1514_1 = all_1311_0
% 230.29/38.14 |
% 230.29/38.14 | SIMP: (2710) implies:
% 230.29/38.14 | (2711) all_1514_1 = all_1311_0
% 230.29/38.14 |
% 230.29/38.14 | COMBINE_EQS: (2702), (2703) imply:
% 230.29/38.14 | (2712) all_1520_1 = all_1323_1
% 230.29/38.14 |
% 230.29/38.14 | SIMP: (2712) implies:
% 230.29/38.14 | (2713) all_1520_1 = all_1323_1
% 230.29/38.14 |
% 230.29/38.14 | COMBINE_EQS: (2647), (2648) imply:
% 230.29/38.14 | (2714) all_1548_1 = all_1024_0
% 230.29/38.14 |
% 230.29/38.14 | SIMP: (2714) implies:
% 230.29/38.14 | (2715) all_1548_1 = all_1024_0
% 230.29/38.14 |
% 230.29/38.14 | COMBINE_EQS: (2700), (2701) imply:
% 230.29/38.14 | (2716) all_1397_1 = all_1382_0
% 230.29/38.14 |
% 230.29/38.14 | COMBINE_EQS: (2699), (2700) imply:
% 230.29/38.14 | (2717) all_1412_1 = all_1397_1
% 230.29/38.14 |
% 230.29/38.14 | SIMP: (2717) implies:
% 230.29/38.14 | (2718) all_1412_1 = all_1397_1
% 230.29/38.14 |
% 230.29/38.14 | COMBINE_EQS: (2645), (2715) imply:
% 230.29/38.14 | (2719) all_1546_0 = all_1024_0
% 230.29/38.14 |
% 230.29/38.14 | COMBINE_EQS: (2645), (2646) imply:
% 230.29/38.14 | (2720) all_1546_0 = all_1544_0
% 230.29/38.14 |
% 230.29/38.14 | COMBINE_EQS: (2719), (2720) imply:
% 230.29/38.14 | (2721) all_1544_0 = all_1024_0
% 230.29/38.14 |
% 230.29/38.14 | SIMP: (2721) implies:
% 230.29/38.14 | (2722) all_1544_0 = all_1024_0
% 230.29/38.14 |
% 230.29/38.14 | COMBINE_EQS: (2644), (2722) imply:
% 230.29/38.14 | (2723) all_1514_1 = all_1024_0
% 230.29/38.14 |
% 230.29/38.14 | SIMP: (2723) implies:
% 230.29/38.14 | (2724) all_1514_1 = all_1024_0
% 230.29/38.14 |
% 230.29/38.14 | COMBINE_EQS: (2696), (2698) imply:
% 230.29/38.14 | (2725) all_1526_0 = all_984_2
% 230.29/38.14 |
% 230.29/38.14 | COMBINE_EQS: (2696), (2697) imply:
% 230.29/38.14 | (2726) all_1526_0 = all_1499_0
% 230.29/38.14 |
% 230.29/38.14 | COMBINE_EQS: (2725), (2726) imply:
% 230.29/38.14 | (2727) all_1499_0 = all_984_2
% 230.29/38.14 |
% 230.29/38.14 | SIMP: (2727) implies:
% 230.29/38.14 | (2728) all_1499_0 = all_984_2
% 230.29/38.14 |
% 230.29/38.14 | COMBINE_EQS: (2642), (2643) imply:
% 230.29/38.14 | (2729) all_1191_0 = all_1115_0
% 230.29/38.14 |
% 230.29/38.14 | SIMP: (2729) implies:
% 230.29/38.14 | (2730) all_1191_0 = all_1115_0
% 230.29/38.14 |
% 230.29/38.14 | COMBINE_EQS: (2694), (2695) imply:
% 230.29/38.14 | (2731) all_1394_1 = all_1269_0
% 230.29/38.14 |
% 230.29/38.14 | SIMP: (2731) implies:
% 230.29/38.14 | (2732) all_1394_1 = all_1269_0
% 230.29/38.14 |
% 230.29/38.14 | COMBINE_EQS: (2693), (2713) imply:
% 230.29/38.14 | (2733) all_1469_1 = all_1323_1
% 230.29/38.14 |
% 230.29/38.14 | SIMP: (2733) implies:
% 230.29/38.14 | (2734) all_1469_1 = all_1323_1
% 230.29/38.14 |
% 230.29/38.14 | COMBINE_EQS: (2640), (2641) imply:
% 230.29/38.14 | (2735) all_1101_1 = all_1099_1
% 230.29/38.14 |
% 230.29/38.14 | SIMP: (2735) implies:
% 230.29/38.14 | (2736) all_1101_1 = all_1099_1
% 230.29/38.14 |
% 230.29/38.14 | COMBINE_EQS: (2691), (2692) imply:
% 230.29/38.14 | (2737) all_1487_0 = all_1129_1
% 230.29/38.14 |
% 230.29/38.14 | SIMP: (2737) implies:
% 230.29/38.14 | (2738) all_1487_0 = all_1129_1
% 230.29/38.14 |
% 230.29/38.14 | COMBINE_EQS: (2711), (2724) imply:
% 230.29/38.14 | (2739) all_1311_0 = all_1024_0
% 230.29/38.14 |
% 230.29/38.14 | SIMP: (2739) implies:
% 230.29/38.14 | (2740) all_1311_0 = all_1024_0
% 230.29/38.14 |
% 230.29/38.15 | COMBINE_EQS: (2689), (2690) imply:
% 230.29/38.15 | (2741) all_1415_1 = all_1159_0
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2741) implies:
% 230.29/38.15 | (2742) all_1415_1 = all_1159_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2686), (2687) imply:
% 230.29/38.15 | (2743) all_1118_0 = all_1112_0
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2743) implies:
% 230.29/38.15 | (2744) all_1118_0 = all_1112_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2687), (2688) imply:
% 230.29/38.15 | (2745) all_1112_0 = all_1015_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2685), (2728) imply:
% 230.29/38.15 | (2746) all_1490_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2746) implies:
% 230.29/38.15 | (2747) all_1490_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2684), (2707) imply:
% 230.29/38.15 | (2748) all_1394_1 = all_1245_0
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2748) implies:
% 230.29/38.15 | (2749) all_1394_1 = all_1245_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2683), (2747) imply:
% 230.29/38.15 | (2750) all_1400_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2750) implies:
% 230.29/38.15 | (2751) all_1400_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2682), (2738) imply:
% 230.29/38.15 | (2752) all_1406_1 = all_1129_1
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2752) implies:
% 230.29/38.15 | (2753) all_1406_1 = all_1129_1
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2681), (2734) imply:
% 230.29/38.15 | (2754) all_1412_1 = all_1323_1
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2754) implies:
% 230.29/38.15 | (2755) all_1412_1 = all_1323_1
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2679), (2680) imply:
% 230.29/38.15 | (2756) all_1197_0 = all_1180_0
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2756) implies:
% 230.29/38.15 | (2757) all_1197_0 = all_1180_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2678), (2680) imply:
% 230.29/38.15 | (2758) all_1415_1 = all_1180_0
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2758) implies:
% 230.29/38.15 | (2759) all_1415_1 = all_1180_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2676), (2677) imply:
% 230.29/38.15 | (2760) all_1335_0 = all_1212_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2675), (2676) imply:
% 230.29/38.15 | (2761) all_1347_0 = all_1335_0
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2761) implies:
% 230.29/38.15 | (2762) all_1347_0 = all_1335_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2674), (2742) imply:
% 230.29/38.15 | (2763) all_1159_0 = all_1156_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2742), (2759) imply:
% 230.29/38.15 | (2764) all_1180_0 = all_1159_0
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2764) implies:
% 230.29/38.15 | (2765) all_1180_0 = all_1159_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2718), (2755) imply:
% 230.29/38.15 | (2766) all_1397_1 = all_1323_1
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2766) implies:
% 230.29/38.15 | (2767) all_1397_1 = all_1323_1
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2673), (2753) imply:
% 230.29/38.15 | (2768) all_1209_0 = all_1129_1
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2768) implies:
% 230.29/38.15 | (2769) all_1209_0 = all_1129_1
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2672), (2751) imply:
% 230.29/38.15 | (2770) all_1391_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2770) implies:
% 230.29/38.15 | (2771) all_1391_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2716), (2767) imply:
% 230.29/38.15 | (2772) all_1382_0 = all_1323_1
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2772) implies:
% 230.29/38.15 | (2773) all_1382_0 = all_1323_1
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2671), (2732) imply:
% 230.29/38.15 | (2774) all_1269_0 = all_1254_1
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2670), (2732) imply:
% 230.29/38.15 | (2775) all_1347_0 = all_1269_0
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2775) implies:
% 230.29/38.15 | (2776) all_1347_0 = all_1269_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2732), (2749) imply:
% 230.29/38.15 | (2777) all_1269_0 = all_1245_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2669), (2771) imply:
% 230.29/38.15 | (2778) all_1388_1 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2778) implies:
% 230.29/38.15 | (2779) all_1388_1 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2668), (2779) imply:
% 230.29/38.15 | (2780) all_1364_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2780) implies:
% 230.29/38.15 | (2781) all_1364_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2667), (2773) imply:
% 230.29/38.15 | (2782) all_1338_0 = all_1323_1
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2782) implies:
% 230.29/38.15 | (2783) all_1338_0 = all_1323_1
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2666), (2781) imply:
% 230.29/38.15 | (2784) all_1320_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2784) implies:
% 230.29/38.15 | (2785) all_1320_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2663), (2664) imply:
% 230.29/38.15 | (2786) all_1338_0 = all_1326_0
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2786) implies:
% 230.29/38.15 | (2787) all_1338_0 = all_1326_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2664), (2762) imply:
% 230.29/38.15 | (2788) all_1335_0 = all_1326_0
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2788) implies:
% 230.29/38.15 | (2789) all_1335_0 = all_1326_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2664), (2665) imply:
% 230.29/38.15 | (2790) all_1326_0 = all_1203_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2664), (2776) imply:
% 230.29/38.15 | (2791) all_1326_0 = all_1269_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2783), (2787) imply:
% 230.29/38.15 | (2792) all_1326_0 = all_1323_1
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2792) implies:
% 230.29/38.15 | (2793) all_1326_0 = all_1323_1
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2760), (2789) imply:
% 230.29/38.15 | (2794) all_1326_0 = all_1212_0
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2794) implies:
% 230.29/38.15 | (2795) all_1326_0 = all_1212_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2790), (2793) imply:
% 230.29/38.15 | (2796) all_1323_1 = all_1203_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2793), (2795) imply:
% 230.29/38.15 | (2797) all_1323_1 = all_1212_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2791), (2793) imply:
% 230.29/38.15 | (2798) all_1323_1 = all_1269_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2796), (2797) imply:
% 230.29/38.15 | (2799) all_1212_0 = all_1203_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2797), (2798) imply:
% 230.29/38.15 | (2800) all_1269_0 = all_1212_0
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2800) implies:
% 230.29/38.15 | (2801) all_1269_0 = all_1212_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2662), (2785) imply:
% 230.29/38.15 | (2802) all_1314_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2802) implies:
% 230.29/38.15 | (2803) all_1314_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2661), (2803) imply:
% 230.29/38.15 | (2804) all_1302_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2804) implies:
% 230.29/38.15 | (2805) all_1302_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2708), (2709) imply:
% 230.29/38.15 | (2806) all_1263_1 = all_1188_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2709), (2740) imply:
% 230.29/38.15 | (2807) all_1263_1 = all_1024_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2660), (2805) imply:
% 230.29/38.15 | (2808) all_1266_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2808) implies:
% 230.29/38.15 | (2809) all_1266_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2774), (2777) imply:
% 230.29/38.15 | (2810) all_1254_1 = all_1245_0
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2810) implies:
% 230.29/38.15 | (2811) all_1254_1 = all_1245_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2777), (2801) imply:
% 230.29/38.15 | (2812) all_1245_0 = all_1212_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2659), (2809) imply:
% 230.29/38.15 | (2813) all_1257_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2813) implies:
% 230.29/38.15 | (2814) all_1257_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2806), (2807) imply:
% 230.29/38.15 | (2815) all_1188_0 = all_1024_0
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2815) implies:
% 230.29/38.15 | (2816) all_1188_0 = all_1024_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2658), (2814) imply:
% 230.29/38.15 | (2817) all_1254_1 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2817) implies:
% 230.29/38.15 | (2818) all_1254_1 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2811), (2818) imply:
% 230.29/38.15 | (2819) all_1245_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2819) implies:
% 230.29/38.15 | (2820) all_1245_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2812), (2820) imply:
% 230.29/38.15 | (2821) all_1212_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2821) implies:
% 230.29/38.15 | (2822) all_1212_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2799), (2822) imply:
% 230.29/38.15 | (2823) all_1203_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2823) implies:
% 230.29/38.15 | (2824) all_1203_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2657), (2769) imply:
% 230.29/38.15 | (2825) all_1129_1 = all_1118_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2656), (2769) imply:
% 230.29/38.15 | (2826) all_1156_0 = all_1129_1
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2826) implies:
% 230.29/38.15 | (2827) all_1156_0 = all_1129_1
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2655), (2824) imply:
% 230.29/38.15 | (2828) all_1197_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2828) implies:
% 230.29/38.15 | (2829) all_1197_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2757), (2829) imply:
% 230.29/38.15 | (2830) all_1180_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2830) implies:
% 230.29/38.15 | (2831) all_1180_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2639), (2730) imply:
% 230.29/38.15 | (2832) all_1127_1 = all_1115_0
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2832) implies:
% 230.29/38.15 | (2833) all_1127_1 = all_1115_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2638), (2816) imply:
% 230.29/38.15 | (2834) all_1127_1 = all_1024_0
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2834) implies:
% 230.29/38.15 | (2835) all_1127_1 = all_1024_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2765), (2831) imply:
% 230.29/38.15 | (2836) all_1159_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2836) implies:
% 230.29/38.15 | (2837) all_1159_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2763), (2837) imply:
% 230.29/38.15 | (2838) all_1156_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2838) implies:
% 230.29/38.15 | (2839) all_1156_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2827), (2839) imply:
% 230.29/38.15 | (2840) all_1129_1 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2840) implies:
% 230.29/38.15 | (2841) all_1129_1 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2825), (2841) imply:
% 230.29/38.15 | (2842) all_1118_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2842) implies:
% 230.29/38.15 | (2843) all_1118_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2637), (2833) imply:
% 230.29/38.15 | (2844) all_1115_0 = all_1101_1
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2833), (2835) imply:
% 230.29/38.15 | (2845) all_1115_0 = all_1024_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2744), (2843) imply:
% 230.29/38.15 | (2846) all_1112_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2846) implies:
% 230.29/38.15 | (2847) all_1112_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2844), (2845) imply:
% 230.29/38.15 | (2848) all_1101_1 = all_1024_0
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2848) implies:
% 230.29/38.15 | (2849) all_1101_1 = all_1024_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2745), (2847) imply:
% 230.29/38.15 | (2850) all_1015_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2850) implies:
% 230.29/38.15 | (2851) all_1015_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2736), (2849) imply:
% 230.29/38.15 | (2852) all_1099_1 = all_1024_0
% 230.29/38.15 |
% 230.29/38.15 | COMBINE_EQS: (2654), (2851) imply:
% 230.29/38.15 | (2853) all_1005_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | SIMP: (2853) implies:
% 230.29/38.15 | (2854) all_1005_0 = all_984_2
% 230.29/38.15 |
% 230.29/38.15 | REDUCE: (2270), (2854) imply:
% 230.29/38.15 | (2855) c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_689_0, all_984_2)
% 230.29/38.15 |
% 230.29/38.15 | GROUND_INST: instantiating (28) with all_667_0, v_d____, tc_RealDef_Oreal,
% 230.29/38.15 | simplifying with (11), (282), (284), (2266), (2271) gives:
% 230.29/38.15 | (2856) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_d____,
% 230.29/38.15 | all_667_0)
% 230.29/38.15 |
% 230.29/38.15 | GROUND_INST: instantiating (28) with all_667_0, v_da____, tc_RealDef_Oreal,
% 230.29/38.15 | simplifying with (282), (284), (286), (299), (2266) gives:
% 230.29/38.15 | (2857) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_da____,
% 230.29/38.15 | all_667_0)
% 230.29/38.15 |
% 230.29/38.15 | GROUND_INST: instantiating (fact_zero__le__divide__iff) with v_m____, v_e,
% 230.29/38.15 | tc_RealDef_Oreal, all_667_0, simplifying with (270), (284),
% 230.29/38.15 | (285), (287), (300) gives:
% 230.29/38.15 | (2858) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.15 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.15 | v0, all_667_0) |
% 230.29/38.15 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v_e) &
% 230.29/38.15 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.15 | v_m____)) |
% 230.29/38.15 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_e, v0) &
% 230.29/38.15 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 230.29/38.15 | v0))) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.15 | v0, all_667_0) | (( ~
% 230.29/38.15 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v_e)
% 230.29/38.15 | | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.15 | v_m____)) & ( ~
% 230.29/38.15 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_e, v0)
% 230.29/38.15 | | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.15 | v_m____, v0)))))
% 230.29/38.15 |
% 230.29/38.15 | GROUND_INST: instantiating (fact_divide__le__0__iff) with v_m____, v_e,
% 230.29/38.15 | tc_RealDef_Oreal, all_667_0, simplifying with (270), (284),
% 230.29/38.15 | (285), (287), (300) gives:
% 230.29/38.15 | (2859) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.15 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.15 | all_667_0, v0) |
% 230.29/38.15 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v_e) &
% 230.29/38.15 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 230.29/38.15 | v0)) | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.15 | v0, v_m____) &
% 230.29/38.15 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_e, v0)))
% 230.29/38.15 | & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_667_0,
% 230.29/38.15 | v0) | (( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.15 | v0, v_e) | ~
% 230.29/38.15 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 230.29/38.15 | v0)) & ( ~
% 230.29/38.15 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.15 | v_m____) | ~
% 230.29/38.15 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_e,
% 230.29/38.15 | v0)))))
% 230.29/38.15 |
% 230.29/38.15 | GROUND_INST: instantiating (fact_divide__less__0__iff) with v_m____, v_e,
% 230.29/38.15 | tc_RealDef_Oreal, all_667_0, simplifying with (270), (284),
% 230.29/38.15 | (285), (287), (300) gives:
% 230.29/38.15 | (2860) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.15 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.15 | all_667_0, v0) |
% 230.29/38.15 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_e) &
% 230.29/38.15 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____, v0))
% 230.29/38.15 | | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_m____)
% 230.29/38.15 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_e, v0))) &
% 230.29/38.15 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_667_0, v0) |
% 230.29/38.15 | (( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_e) |
% 230.29/38.15 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 230.29/38.15 | v0)) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.15 | v0, v_m____) | ~
% 230.29/38.15 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_e, v0)))))
% 230.29/38.15 |
% 230.29/38.15 | GROUND_INST: instantiating (fact_divide__nonneg__pos) with v_m____, v_e,
% 230.29/38.15 | tc_RealDef_Oreal, all_667_0, simplifying with (277), (284),
% 230.29/38.15 | (285), (287), (300) gives:
% 230.29/38.15 | (2861) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.15 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.15 | v0, v_e) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.15 | v0, v_m____) |
% 230.29/38.15 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.15 | all_667_0)))
% 230.29/38.15 |
% 230.29/38.15 | GROUND_INST: instantiating (fact_divide__nonneg__neg) with v_m____, v_e,
% 230.29/38.15 | tc_RealDef_Oreal, all_667_0, simplifying with (277), (284),
% 230.29/38.15 | (285), (287), (300) gives:
% 230.29/38.15 | (2862) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.15 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.15 | v0, v_e) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.15 | v_m____, v0) |
% 230.29/38.15 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_667_0,
% 230.29/38.15 | v0)))
% 230.29/38.15 |
% 230.29/38.15 | GROUND_INST: instantiating (fact_divide__nonpos__pos) with v_m____, v_e,
% 230.29/38.15 | tc_RealDef_Oreal, all_667_0, simplifying with (277), (284),
% 230.29/38.15 | (285), (287), (300) gives:
% 230.29/38.15 | (2863) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.15 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.15 | v_e, v0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.15 | v0, v_m____) |
% 230.29/38.15 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_667_0,
% 230.29/38.15 | v0)))
% 230.29/38.15 |
% 230.29/38.15 | GROUND_INST: instantiating (fact_divide__nonpos__neg) with v_m____, v_e,
% 230.29/38.15 | tc_RealDef_Oreal, all_667_0, simplifying with (277), (284),
% 230.29/38.15 | (285), (287), (300) gives:
% 230.29/38.15 | (2864) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.15 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.15 | v_e, v0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.15 | v_m____, v0) |
% 230.29/38.15 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.15 | all_667_0)))
% 230.29/38.15 |
% 230.29/38.15 | GROUND_INST: instantiating (fact_divide__pos__neg) with v_m____, v_e,
% 230.29/38.15 | tc_RealDef_Oreal, all_667_0, simplifying with (277), (284),
% 230.29/38.15 | (285), (287), (300) gives:
% 230.29/38.15 | (2865) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.15 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 230.29/38.15 | v_e) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.15 | v_m____, v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.15 | all_667_0, v0)))
% 230.29/38.15 |
% 230.29/38.15 | GROUND_INST: instantiating (fact_divide__neg__pos) with v_m____, v_e,
% 230.29/38.15 | tc_RealDef_Oreal, all_667_0, simplifying with (277), (284),
% 230.29/38.15 | (285), (287), (300) gives:
% 230.29/38.15 | (2866) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.15 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 230.29/38.15 | v_m____) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.15 | v_e, v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.15 | all_667_0, v0)))
% 230.29/38.15 |
% 230.29/38.15 | GROUND_INST: instantiating (fact_zero__le__one) with tc_RealDef_Oreal,
% 230.29/38.15 | all_675_0, simplifying with (276), (284), (309) gives:
% 230.29/38.16 | (2867) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.16 | $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.16 | all_675_0))
% 230.29/38.16 |
% 230.29/38.16 | GROUND_INST: instantiating (fact_not__one__le__zero) with tc_RealDef_Oreal,
% 230.29/38.16 | all_675_0, simplifying with (276), (284), (309) gives:
% 230.29/38.16 | (2868) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.16 | $i(v0) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | all_675_0, v0))
% 230.29/38.16 |
% 230.29/38.16 | GROUND_INST: instantiating (fact_not__one__less__zero) with tc_RealDef_Oreal,
% 230.29/38.16 | all_675_0, simplifying with (276), (284), (309) gives:
% 230.29/38.16 | (2869) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.16 | $i(v0) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.16 | all_675_0, v0))
% 230.29/38.16 |
% 230.29/38.16 | GROUND_INST: instantiating (fact_le__divide__eq) with v_m____, v_e, v_da____,
% 230.29/38.16 | tc_RealDef_Oreal, all_667_0, all_797_1, all_797_0, simplifying
% 230.29/38.16 | with (270), (284), (285), (286), (287), (300), (398), (399)
% 230.29/38.16 | gives:
% 230.29/38.16 | (2870) ? [v0: $i] : (( ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_da____,
% 230.29/38.16 | all_667_0) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 230.29/38.16 | v0 & $i(v0) & ( ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_m____)
% 230.29/38.16 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | all_797_0, v_e)) &
% 230.29/38.16 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_m____)
% 230.29/38.16 | | (( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.16 | v_m____, v0) |
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_e,
% 230.29/38.16 | all_797_0)) &
% 230.29/38.16 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | v_da____, v0) |
% 230.29/38.16 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 230.29/38.16 | v0)))))) &
% 230.29/38.16 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_da____,
% 230.29/38.16 | all_667_0) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 230.29/38.16 | v0 & $i(v0) &
% 230.29/38.16 | ((c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_m____)
% 230.29/38.16 | & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | all_797_0, v_e)) | ( ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_m____) &
% 230.29/38.16 | ((c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 230.29/38.16 | v0) & ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | v_e, all_797_0)) | ( ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | v_da____, v0) & ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.16 | v_m____, v0))))))))
% 230.29/38.16 |
% 230.29/38.16 | GROUND_INST: instantiating (fact_less__divide__eq) with v_m____, v_e,
% 230.29/38.16 | v_da____, tc_RealDef_Oreal, all_667_0, all_797_1, all_797_0,
% 230.29/38.16 | simplifying with (270), (284), (285), (286), (287), (300), (398),
% 230.29/38.16 | (399) gives:
% 230.29/38.16 | (2871) ? [v0: $i] : (( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.16 | v_da____, all_667_0) |
% 230.29/38.16 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & (
% 230.29/38.16 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_m____) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.16 | all_797_0, v_e)) &
% 230.29/38.16 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_m____)
% 230.29/38.16 | | (( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.16 | v_m____, v0) |
% 230.29/38.16 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_e,
% 230.29/38.16 | all_797_0)) &
% 230.29/38.16 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_da____,
% 230.29/38.16 | v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.16 | v_m____, v0)))))) &
% 230.29/38.16 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_da____,
% 230.29/38.16 | all_667_0) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 230.29/38.16 | v0 & $i(v0) &
% 230.29/38.16 | ((c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_m____)
% 230.29/38.16 | & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.16 | all_797_0, v_e)) | ( ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_m____) &
% 230.29/38.16 | ((c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 230.29/38.16 | v0) & ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_e,
% 230.29/38.16 | all_797_0)) | ( ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.16 | v_da____, v0) & ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.16 | v_m____, v0))))))))
% 230.29/38.16 |
% 230.29/38.16 | GROUND_INST: instantiating (22) with v_e, v_da____, v_m____, tc_RealDef_Oreal,
% 230.29/38.16 | all_667_0, all_797_1, all_797_0, simplifying with (277), (284),
% 230.29/38.16 | (285), (286), (287), (299), (300), (397), (398), (399) gives:
% 230.29/38.16 | (2872) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.16 | $i(v0) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_m____))
% 230.29/38.16 |
% 230.29/38.16 | GROUND_INST: instantiating (fact_mult__nonpos__nonpos) with v_m____, v_da____,
% 230.29/38.16 | tc_RealDef_Oreal, all_797_1, all_797_0, simplifying with (280),
% 230.29/38.16 | (284), (285), (286), (398), (399) gives:
% 230.29/38.16 | (2873) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.16 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | v_da____, v0) | ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____, v0)
% 230.29/38.16 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.16 | all_797_0)))
% 230.29/38.16 |
% 230.29/38.16 | GROUND_INST: instantiating (fact_split__mult__pos__le) with v_m____, v_da____,
% 230.29/38.16 | tc_RealDef_Oreal, all_797_1, all_797_0, simplifying with (280),
% 230.29/38.16 | (284), (285), (286), (398), (399) gives:
% 230.29/38.16 | (2874) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.16 | $i(v0) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.16 | all_797_0) | (( ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_da____) | ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_m____)) & ( ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | v_da____, v0) | ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 230.29/38.16 | v0)))))
% 230.29/38.16 |
% 230.29/38.16 | GROUND_INST: instantiating (fact_mult__nonneg__nonneg) with v_m____, v_da____,
% 230.29/38.16 | tc_RealDef_Oreal, all_797_1, all_797_0, simplifying with (272),
% 230.29/38.16 | (284), (285), (286), (398), (399) gives:
% 230.29/38.16 | (2875) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.16 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | v0, v_da____) | ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v_m____)
% 230.29/38.16 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.16 | all_797_0)))
% 230.29/38.16 |
% 230.29/38.16 | GROUND_INST: instantiating (fact_mult__nonneg__nonpos) with v_m____, v_da____,
% 230.29/38.16 | tc_RealDef_Oreal, all_797_1, all_797_0, simplifying with (272),
% 230.29/38.16 | (284), (285), (286), (398), (399) gives:
% 230.29/38.16 | (2876) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.16 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | v0, v_da____) | ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____, v0)
% 230.29/38.16 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_797_0,
% 230.29/38.16 | v0)))
% 230.29/38.16 |
% 230.29/38.16 | GROUND_INST: instantiating (fact_mult__nonpos__nonneg) with v_m____, v_da____,
% 230.29/38.16 | tc_RealDef_Oreal, all_797_1, all_797_0, simplifying with (272),
% 230.29/38.16 | (284), (285), (286), (398), (399) gives:
% 230.29/38.16 | (2877) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.16 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | v0, v_m____) | ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_da____,
% 230.29/38.16 | v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | all_797_0, v0)))
% 230.29/38.16 |
% 230.29/38.16 | GROUND_INST: instantiating (fact_split__mult__neg__le) with v_m____, v_da____,
% 230.29/38.16 | tc_RealDef_Oreal, all_797_1, all_797_0, simplifying with (272),
% 230.29/38.16 | (284), (285), (286), (398), (399) gives:
% 230.29/38.16 | (2878) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.16 | $i(v0) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | all_797_0, v0) | (( ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_da____) | ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 230.29/38.16 | v0)) & ( ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_m____) | ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | v_da____, v0)))))
% 230.29/38.16 |
% 230.29/38.16 | GROUND_INST: instantiating (fact_mult__pos__pos) with v_m____, v_da____,
% 230.29/38.16 | tc_RealDef_Oreal, all_797_1, all_797_0, simplifying with (271),
% 230.29/38.16 | (284), (285), (286), (398), (399) gives:
% 230.29/38.16 | (2879) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.16 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_da____) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.16 | v0, v_m____) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.16 | v0, all_797_0)))
% 230.29/38.16 |
% 230.29/38.16 | GROUND_INST: instantiating (fact_mult__pos__neg) with v_m____, v_da____,
% 230.29/38.16 | tc_RealDef_Oreal, all_797_1, all_797_0, simplifying with (271),
% 230.29/38.16 | (284), (285), (286), (398), (399) gives:
% 230.29/38.16 | (2880) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.16 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_da____) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.16 | v_m____, v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.16 | all_797_0, v0)))
% 230.29/38.16 |
% 230.29/38.16 | GROUND_INST: instantiating (fact_mult__neg__pos) with v_m____, v_da____,
% 230.29/38.16 | tc_RealDef_Oreal, all_797_1, all_797_0, simplifying with (271),
% 230.29/38.16 | (284), (285), (286), (398), (399) gives:
% 230.29/38.16 | (2881) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.16 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_m____) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.16 | v_da____, v0) |
% 230.29/38.16 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_797_0, v0)))
% 230.29/38.16 |
% 230.29/38.16 | GROUND_INST: instantiating (fact_zero__le__mult__iff) with v_m____, v_da____,
% 230.29/38.16 | tc_RealDef_Oreal, all_797_1, all_797_0, simplifying with (273),
% 230.29/38.16 | (284), (285), (286), (398), (399) gives:
% 230.29/38.16 | (2882) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.16 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | v0, all_797_0) |
% 230.29/38.16 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_da____) &
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_m____)) |
% 230.29/38.16 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_da____,
% 230.29/38.16 | v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | v_m____, v0))) &
% 230.29/38.16 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.16 | all_797_0) | (( ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_da____) | ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_m____)) & ( ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | v_da____, v0) | ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 230.29/38.16 | v0)))))
% 230.29/38.16 |
% 230.29/38.16 | GROUND_INST: instantiating (fact_mult__le__0__iff) with v_m____, v_da____,
% 230.29/38.16 | tc_RealDef_Oreal, all_797_1, all_797_0, simplifying with (273),
% 230.29/38.16 | (284), (285), (286), (398), (399) gives:
% 230.29/38.16 | (2883) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.16 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | all_797_0, v0) |
% 230.29/38.16 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_da____) &
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 230.29/38.16 | v0)) | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | v0, v_m____) &
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_da____,
% 230.29/38.16 | v0))) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | all_797_0, v0) | (( ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_da____) | ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 230.29/38.16 | v0)) & ( ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_m____) | ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | v_da____, v0)))))
% 230.29/38.16 |
% 230.29/38.16 | GROUND_INST: instantiating (fact_mult__neg__neg) with v_m____, v_da____,
% 230.29/38.16 | tc_RealDef_Oreal, all_797_1, all_797_0, simplifying with (273),
% 230.29/38.16 | (284), (285), (286), (398), (399) gives:
% 230.29/38.16 | (2884) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.16 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.16 | v_da____, v0) | ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____, v0) |
% 230.29/38.16 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_797_0)))
% 230.29/38.16 |
% 230.29/38.16 | GROUND_INST: instantiating (fact_mult__eq__0__iff) with v_m____, v_da____,
% 230.29/38.16 | tc_RealDef_Oreal, all_797_1, all_797_0, simplifying with (274),
% 230.29/38.16 | (284), (285), (286), (398), (399) gives:
% 230.29/38.16 | (2885) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.16 | $i(v0) & ( ~ (v0 = all_797_0) | all_797_0 = v_da____ | all_797_0 =
% 230.29/38.16 | v_m____) & (v0 = all_797_0 | ( ~ (v0 = v_da____) & ~ (v0 =
% 230.29/38.16 | v_m____))))
% 230.29/38.16 |
% 230.29/38.16 | GROUND_INST: instantiating (fact_no__zero__divisors) with v_m____, v_da____,
% 230.29/38.16 | tc_RealDef_Oreal, all_797_1, all_797_0, simplifying with (278),
% 230.29/38.16 | (284), (285), (286), (398), (399) gives:
% 230.29/38.16 | (2886) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.16 | $i(v0) & ( ~ (v0 = all_797_0) | all_797_0 = v_da____ | all_797_0 =
% 230.29/38.16 | v_m____))
% 230.29/38.16 |
% 230.29/38.16 | GROUND_INST: instantiating (fact_le__divide__eq) with v_m____, v_e, v_d____,
% 230.29/38.16 | tc_RealDef_Oreal, all_667_0, all_775_1, all_775_0, simplifying
% 230.29/38.16 | with (11), (270), (284), (285), (287), (300), (377), (378) gives:
% 230.29/38.16 | (2887) ? [v0: $i] : (( ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_d____,
% 230.29/38.16 | all_667_0) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 230.29/38.16 | v0 & $i(v0) & ( ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_m____)
% 230.29/38.16 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | all_775_0, v_e)) &
% 230.29/38.16 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_m____)
% 230.29/38.16 | | (( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.16 | v_m____, v0) |
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_e,
% 230.29/38.16 | all_775_0)) &
% 230.29/38.16 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | v_d____, v0) |
% 230.29/38.16 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 230.29/38.16 | v0)))))) &
% 230.29/38.16 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_d____,
% 230.29/38.16 | all_667_0) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 230.29/38.16 | v0 & $i(v0) &
% 230.29/38.16 | ((c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_m____)
% 230.29/38.16 | & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | all_775_0, v_e)) | ( ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_m____) &
% 230.29/38.16 | ((c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 230.29/38.16 | v0) & ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | v_e, all_775_0)) | ( ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | v_d____, v0) & ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.16 | v_m____, v0))))))))
% 230.29/38.16 |
% 230.29/38.16 | GROUND_INST: instantiating (fact_mult__nonpos__nonpos) with v_m____, v_d____,
% 230.29/38.16 | tc_RealDef_Oreal, all_775_1, all_775_0, simplifying with (11),
% 230.29/38.16 | (280), (284), (285), (377), (378) gives:
% 230.29/38.16 | (2888) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.16 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | v_d____, v0) | ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____, v0)
% 230.29/38.16 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.16 | all_775_0)))
% 230.29/38.16 |
% 230.29/38.16 | GROUND_INST: instantiating (fact_split__mult__pos__le) with v_m____, v_d____,
% 230.29/38.16 | tc_RealDef_Oreal, all_775_1, all_775_0, simplifying with (11),
% 230.29/38.16 | (280), (284), (285), (377), (378) gives:
% 230.29/38.16 | (2889) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.16 | $i(v0) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.16 | all_775_0) | (( ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_d____) | ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_m____)) & ( ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_d____,
% 230.29/38.16 | v0) | ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 230.29/38.16 | v0)))))
% 230.29/38.16 |
% 230.29/38.16 | GROUND_INST: instantiating (fact_mult__nonneg__nonneg) with v_m____, v_d____,
% 230.29/38.16 | tc_RealDef_Oreal, all_775_1, all_775_0, simplifying with (11),
% 230.29/38.16 | (272), (284), (285), (377), (378) gives:
% 230.29/38.16 | (2890) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.16 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | v0, v_d____) | ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v_m____)
% 230.29/38.16 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.16 | all_775_0)))
% 230.29/38.16 |
% 230.29/38.16 | GROUND_INST: instantiating (fact_mult__nonneg__nonpos) with v_m____, v_d____,
% 230.29/38.16 | tc_RealDef_Oreal, all_775_1, all_775_0, simplifying with (11),
% 230.29/38.16 | (272), (284), (285), (377), (378) gives:
% 230.29/38.16 | (2891) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.16 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | v0, v_d____) | ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____, v0)
% 230.29/38.16 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_775_0,
% 230.29/38.16 | v0)))
% 230.29/38.16 |
% 230.29/38.16 | GROUND_INST: instantiating (fact_mult__nonpos__nonneg) with v_m____, v_d____,
% 230.29/38.16 | tc_RealDef_Oreal, all_775_1, all_775_0, simplifying with (11),
% 230.29/38.16 | (272), (284), (285), (377), (378) gives:
% 230.29/38.16 | (2892) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.16 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | v0, v_m____) | ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_d____, v0)
% 230.29/38.16 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_775_0,
% 230.29/38.16 | v0)))
% 230.29/38.16 |
% 230.29/38.16 | GROUND_INST: instantiating (fact_split__mult__neg__le) with v_m____, v_d____,
% 230.29/38.16 | tc_RealDef_Oreal, all_775_1, all_775_0, simplifying with (11),
% 230.29/38.16 | (272), (284), (285), (377), (378) gives:
% 230.29/38.16 | (2893) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.16 | $i(v0) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | all_775_0, v0) | (( ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_d____) | ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 230.29/38.16 | v0)) & ( ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_m____) | ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_d____,
% 230.29/38.16 | v0)))))
% 230.29/38.16 |
% 230.29/38.16 | GROUND_INST: instantiating (fact_mult__pos__neg) with v_m____, v_d____,
% 230.29/38.16 | tc_RealDef_Oreal, all_775_1, all_775_0, simplifying with (11),
% 230.29/38.16 | (271), (284), (285), (377), (378) gives:
% 230.29/38.16 | (2894) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.16 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_d____) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.16 | v_m____, v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.16 | all_775_0, v0)))
% 230.29/38.16 |
% 230.29/38.16 | GROUND_INST: instantiating (fact_mult__neg__pos) with v_m____, v_d____,
% 230.29/38.16 | tc_RealDef_Oreal, all_775_1, all_775_0, simplifying with (11),
% 230.29/38.16 | (271), (284), (285), (377), (378) gives:
% 230.29/38.16 | (2895) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.16 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_m____) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.16 | v_d____, v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.16 | all_775_0, v0)))
% 230.29/38.16 |
% 230.29/38.16 | GROUND_INST: instantiating (fact_zero__le__mult__iff) with v_m____, v_d____,
% 230.29/38.16 | tc_RealDef_Oreal, all_775_1, all_775_0, simplifying with (11),
% 230.29/38.16 | (273), (284), (285), (377), (378) gives:
% 230.29/38.16 | (2896) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.16 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | v0, all_775_0) |
% 230.29/38.16 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_d____) &
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_m____)) |
% 230.29/38.16 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_d____,
% 230.29/38.16 | v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | v_m____, v0))) &
% 230.29/38.16 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.16 | all_775_0) | (( ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_d____) | ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_m____)) & ( ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_d____,
% 230.29/38.16 | v0) | ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 230.29/38.16 | v0)))))
% 230.29/38.16 |
% 230.29/38.16 | GROUND_INST: instantiating (fact_mult__le__0__iff) with v_m____, v_d____,
% 230.29/38.16 | tc_RealDef_Oreal, all_775_1, all_775_0, simplifying with (11),
% 230.29/38.16 | (273), (284), (285), (377), (378) gives:
% 230.29/38.16 | (2897) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.16 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | all_775_0, v0) |
% 230.29/38.16 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_d____) &
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 230.29/38.16 | v0)) | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | v0, v_m____) &
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_d____,
% 230.29/38.16 | v0))) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.16 | all_775_0, v0) | (( ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_d____) | ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 230.29/38.16 | v0)) & ( ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.16 | v_m____) | ~
% 230.29/38.16 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_d____,
% 230.29/38.16 | v0)))))
% 230.29/38.16 |
% 230.29/38.16 | GROUND_INST: instantiating (fact_mult__eq__0__iff) with v_m____, v_d____,
% 230.29/38.16 | tc_RealDef_Oreal, all_775_1, all_775_0, simplifying with (11),
% 230.29/38.16 | (274), (284), (285), (377), (378) gives:
% 230.29/38.17 | (2898) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.17 | $i(v0) & ( ~ (v0 = all_775_0) | all_775_0 = v_d____ | all_775_0 =
% 230.29/38.17 | v_m____) & (v0 = all_775_0 | ( ~ (v0 = v_d____) & ~ (v0 =
% 230.29/38.17 | v_m____))))
% 230.29/38.17 |
% 230.29/38.17 | GROUND_INST: instantiating (fact_no__zero__divisors) with v_m____, v_d____,
% 230.29/38.17 | tc_RealDef_Oreal, all_775_1, all_775_0, simplifying with (11),
% 230.29/38.17 | (278), (284), (285), (377), (378) gives:
% 230.29/38.17 | (2899) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.17 | $i(v0) & ( ~ (v0 = all_775_0) | all_775_0 = v_d____ | all_775_0 =
% 230.29/38.17 | v_m____))
% 230.29/38.17 |
% 230.29/38.17 | GROUND_INST: instantiating (111) with all_976_1, tc_RealDef_Oreal, all_1024_0,
% 230.29/38.17 | simplifying with (279), (283), (284), (2635), (2636) gives:
% 230.29/38.17 | (2900) ? [v0: $i] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 230.29/38.17 | c_Int_OPls, all_976_1) |
% 230.29/38.17 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) &
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.17 | all_1024_0))) &
% 230.29/38.17 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls,
% 230.29/38.17 | all_976_1) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 230.29/38.17 | v0 & $i(v0) & ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.17 | all_1024_0))))
% 230.29/38.17 |
% 230.29/38.17 | GROUND_INST: instantiating (112) with all_976_1, tc_RealDef_Oreal, all_1024_0,
% 230.29/38.17 | simplifying with (279), (283), (284), (2635), (2636) gives:
% 230.29/38.17 | (2901) ? [v0: $i] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 230.29/38.17 | c_Int_OPls, all_976_1) |
% 230.29/38.17 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) &
% 230.29/38.17 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 230.29/38.17 | all_1024_0))) & (c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 230.29/38.17 | c_Int_OPls, all_976_1) |
% 230.29/38.17 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) &
% 230.29/38.17 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 230.29/38.17 | all_1024_0))))
% 230.29/38.17 |
% 230.29/38.17 | GROUND_INST: instantiating (91) with all_976_1, all_976_0, simplifying with
% 230.29/38.17 | (486), (2636) gives:
% 230.29/38.17 | (2902) all_976_0 = all_976_1
% 230.29/38.17 |
% 230.29/38.17 | GROUND_INST: instantiating (102) with all_976_1, c_Int_OPls, all_689_0,
% 230.29/38.17 | all_984_2, simplifying with (2264), (2267), (2617), (2636),
% 230.29/38.17 | (2855) gives:
% 230.29/38.17 | (2903) c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, all_976_1)
% 230.29/38.17 |
% 230.29/38.17 | GROUND_INST: instantiating (fact_neg__0__le__iff__le) with all_675_0,
% 230.29/38.17 | tc_RealDef_Oreal, all_1424_0, simplifying with (275), (284),
% 230.29/38.17 | (2263), (2268) gives:
% 230.29/38.17 | (2904) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.17 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.17 | v0, all_1424_0) |
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_675_0,
% 230.29/38.17 | v0)) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.17 | all_675_0, v0) |
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.17 | all_1424_0)))
% 230.29/38.17 |
% 230.29/38.17 | GROUND_INST: instantiating (fact_neg__le__0__iff__le) with all_675_0,
% 230.29/38.17 | tc_RealDef_Oreal, all_1424_0, simplifying with (275), (284),
% 230.29/38.17 | (2263), (2268) gives:
% 230.29/38.17 | (2905) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.17 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.17 | v0, all_675_0) |
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1424_0,
% 230.29/38.17 | v0)) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.17 | all_1424_0, v0) |
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 230.29/38.17 | all_675_0)))
% 230.29/38.17 |
% 230.29/38.17 | GROUND_INST: instantiating (fact_neg__0__less__iff__less) with all_675_0,
% 230.29/38.17 | tc_RealDef_Oreal, all_1424_0, simplifying with (275), (284),
% 230.29/38.17 | (2263), (2268) gives:
% 230.29/38.17 | (2906) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.17 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 230.29/38.17 | all_1424_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.17 | all_675_0, v0)) & ( ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_675_0, v0) |
% 230.29/38.17 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 230.29/38.17 | all_1424_0)))
% 230.29/38.17 |
% 230.29/38.17 | GROUND_INST: instantiating (fact_neg__less__0__iff__less) with all_675_0,
% 230.29/38.17 | tc_RealDef_Oreal, all_1424_0, simplifying with (275), (284),
% 230.29/38.17 | (2263), (2268) gives:
% 230.29/38.17 | (2907) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.17 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 230.29/38.17 | all_675_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.17 | all_1424_0, v0)) & ( ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1424_0, v0)
% 230.29/38.17 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 230.29/38.17 | all_675_0)))
% 230.29/38.17 |
% 230.29/38.17 | GROUND_INST: instantiating (fact_neg__equal__0__iff__equal) with all_675_0,
% 230.29/38.17 | tc_RealDef_Oreal, all_1424_0, simplifying with (281), (284),
% 230.29/38.17 | (2263), (2268) gives:
% 230.29/38.17 | (2908) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 230.29/38.17 | $i(v0) & ( ~ (v0 = all_1424_0) | all_1424_0 = all_675_0) & ( ~ (v0
% 230.29/38.17 | = all_675_0) | all_1424_0 = all_675_0))
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2872) with fresh symbol all_1610_0 gives:
% 230.29/38.17 | (2909) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1610_0 &
% 230.29/38.17 | $i(all_1610_0) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.17 | all_1610_0, v_m____)
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2909) implies:
% 230.29/38.17 | (2910) ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1610_0,
% 230.29/38.17 | v_m____)
% 230.29/38.17 | (2911) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1610_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2869) with fresh symbol all_1622_0 gives:
% 230.29/38.17 | (2912) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1622_0 &
% 230.29/38.17 | $i(all_1622_0) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.17 | all_675_0, all_1622_0)
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2912) implies:
% 230.29/38.17 | (2913) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1622_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2868) with fresh symbol all_1636_0 gives:
% 230.29/38.17 | (2914) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1636_0 &
% 230.29/38.17 | $i(all_1636_0) & ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_675_0,
% 230.29/38.17 | all_1636_0)
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2914) implies:
% 230.29/38.17 | (2915) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1636_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2867) with fresh symbol all_1638_0 gives:
% 230.29/38.17 | (2916) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1638_0 &
% 230.29/38.17 | $i(all_1638_0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.17 | all_1638_0, all_675_0)
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2916) implies:
% 230.29/38.17 | (2917) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1638_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2899) with fresh symbol all_1672_0 gives:
% 230.29/38.17 | (2918) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1672_0 &
% 230.29/38.17 | $i(all_1672_0) & ( ~ (all_1672_0 = all_775_0) | all_775_0 = v_d____
% 230.29/38.17 | | all_775_0 = v_m____)
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2918) implies:
% 230.29/38.17 | (2919) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1672_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2892) with fresh symbol all_1674_0 gives:
% 230.29/38.17 | (2920) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1674_0 &
% 230.29/38.17 | $i(all_1674_0) & ( ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1674_0,
% 230.29/38.17 | v_m____) | ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_d____,
% 230.29/38.17 | all_1674_0) |
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_775_0,
% 230.29/38.17 | all_1674_0))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2920) implies:
% 230.29/38.17 | (2921) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1674_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2888) with fresh symbol all_1676_0 gives:
% 230.29/38.17 | (2922) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1676_0 &
% 230.29/38.17 | $i(all_1676_0) & ( ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_d____,
% 230.29/38.17 | all_1676_0) | ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 230.29/38.17 | all_1676_0) |
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1676_0,
% 230.29/38.17 | all_775_0))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2922) implies:
% 230.29/38.17 | (2923) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1676_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2886) with fresh symbol all_1679_0 gives:
% 230.29/38.17 | (2924) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1679_0 &
% 230.29/38.17 | $i(all_1679_0) & ( ~ (all_1679_0 = all_797_0) | all_797_0 = v_da____
% 230.29/38.17 | | all_797_0 = v_m____)
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2924) implies:
% 230.29/38.17 | (2925) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1679_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2884) with fresh symbol all_1681_0 gives:
% 230.29/38.17 | (2926) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1681_0 &
% 230.29/38.17 | $i(all_1681_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.17 | v_da____, all_1681_0) | ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 230.29/38.17 | all_1681_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.17 | all_1681_0, all_797_0))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2926) implies:
% 230.29/38.17 | (2927) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1681_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2879) with fresh symbol all_1689_0 gives:
% 230.29/38.17 | (2928) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1689_0 &
% 230.29/38.17 | $i(all_1689_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.17 | all_1689_0, v_da____) | ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1689_0,
% 230.29/38.17 | v_m____) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.17 | all_1689_0, all_797_0))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2928) implies:
% 230.29/38.17 | (2929) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1689_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2877) with fresh symbol all_1691_0 gives:
% 230.29/38.17 | (2930) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1691_0 &
% 230.29/38.17 | $i(all_1691_0) & ( ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1691_0,
% 230.29/38.17 | v_m____) | ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_da____,
% 230.29/38.17 | all_1691_0) |
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_797_0,
% 230.29/38.17 | all_1691_0))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2930) implies:
% 230.29/38.17 | (2931) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1691_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2876) with fresh symbol all_1695_0 gives:
% 230.29/38.17 | (2932) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1695_0 &
% 230.29/38.17 | $i(all_1695_0) & ( ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1695_0,
% 230.29/38.17 | v_da____) | ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 230.29/38.17 | all_1695_0) |
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_797_0,
% 230.29/38.17 | all_1695_0))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2932) implies:
% 230.29/38.17 | (2933) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1695_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2875) with fresh symbol all_1697_0 gives:
% 230.29/38.17 | (2934) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1697_0 &
% 230.29/38.17 | $i(all_1697_0) & ( ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1697_0,
% 230.29/38.17 | v_da____) | ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1697_0,
% 230.29/38.17 | v_m____) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.17 | all_1697_0, all_797_0))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2934) implies:
% 230.29/38.17 | (2935) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1697_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2873) with fresh symbol all_1699_0 gives:
% 230.29/38.17 | (2936) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1699_0 &
% 230.29/38.17 | $i(all_1699_0) & ( ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_da____,
% 230.29/38.17 | all_1699_0) | ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 230.29/38.17 | all_1699_0) |
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1699_0,
% 230.29/38.17 | all_797_0))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2936) implies:
% 230.29/38.17 | (2937) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1699_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2881) with fresh symbol all_1701_0 gives:
% 230.29/38.17 | (2938) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1701_0 &
% 230.29/38.17 | $i(all_1701_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.17 | all_1701_0, v_m____) | ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_da____,
% 230.29/38.17 | all_1701_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.17 | all_797_0, all_1701_0))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2938) implies:
% 230.29/38.17 | (2939) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1701_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2880) with fresh symbol all_1703_0 gives:
% 230.29/38.17 | (2940) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1703_0 &
% 230.29/38.17 | $i(all_1703_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.17 | all_1703_0, v_da____) | ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 230.29/38.17 | all_1703_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.17 | all_797_0, all_1703_0))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2940) implies:
% 230.29/38.17 | (2941) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1703_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2866) with fresh symbol all_1709_0 gives:
% 230.29/38.17 | (2942) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1709_0 &
% 230.29/38.17 | $i(all_1709_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.17 | all_1709_0, v_m____) | ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_e, all_1709_0) |
% 230.29/38.17 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_667_0,
% 230.29/38.17 | all_1709_0))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2942) implies:
% 230.29/38.17 | (2943) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1709_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2865) with fresh symbol all_1711_0 gives:
% 230.29/38.17 | (2944) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1711_0 &
% 230.29/38.17 | $i(all_1711_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.17 | all_1711_0, v_e) | ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 230.29/38.17 | all_1711_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.17 | all_667_0, all_1711_0))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2944) implies:
% 230.29/38.17 | (2945) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1711_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2864) with fresh symbol all_1713_0 gives:
% 230.29/38.17 | (2946) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1713_0 &
% 230.29/38.17 | $i(all_1713_0) & ( ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_e,
% 230.29/38.17 | all_1713_0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.17 | v_m____, all_1713_0) |
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1713_0,
% 230.29/38.17 | all_667_0))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2946) implies:
% 230.29/38.17 | (2947) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1713_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2863) with fresh symbol all_1715_0 gives:
% 230.29/38.17 | (2948) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1715_0 &
% 230.29/38.17 | $i(all_1715_0) & ( ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_e,
% 230.29/38.17 | all_1715_0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.17 | all_1715_0, v_m____) |
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_667_0,
% 230.29/38.17 | all_1715_0))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2948) implies:
% 230.29/38.17 | (2949) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1715_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2891) with fresh symbol all_1717_0 gives:
% 230.29/38.17 | (2950) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1717_0 &
% 230.29/38.17 | $i(all_1717_0) & ( ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1717_0,
% 230.29/38.17 | v_d____) | ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 230.29/38.17 | all_1717_0) |
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_775_0,
% 230.29/38.17 | all_1717_0))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2950) implies:
% 230.29/38.17 | (2951) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1717_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2890) with fresh symbol all_1719_0 gives:
% 230.29/38.17 | (2952) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1719_0 &
% 230.29/38.17 | $i(all_1719_0) & ( ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1719_0,
% 230.29/38.17 | v_d____) | ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1719_0,
% 230.29/38.17 | v_m____) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.17 | all_1719_0, all_775_0))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2952) implies:
% 230.29/38.17 | (2953) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1719_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2895) with fresh symbol all_1721_0 gives:
% 230.29/38.17 | (2954) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1721_0 &
% 230.29/38.17 | $i(all_1721_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.17 | all_1721_0, v_m____) | ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_d____,
% 230.29/38.17 | all_1721_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.17 | all_775_0, all_1721_0))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2954) implies:
% 230.29/38.17 | (2955) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1721_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2894) with fresh symbol all_1723_0 gives:
% 230.29/38.17 | (2956) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1723_0 &
% 230.29/38.17 | $i(all_1723_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.17 | all_1723_0, v_d____) | ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 230.29/38.17 | all_1723_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.17 | all_775_0, all_1723_0))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2956) implies:
% 230.29/38.17 | (2957) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1723_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2862) with fresh symbol all_1740_0 gives:
% 230.29/38.17 | (2958) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1740_0 &
% 230.29/38.17 | $i(all_1740_0) & ( ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1740_0,
% 230.29/38.17 | v_e) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.17 | v_m____, all_1740_0) |
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_667_0,
% 230.29/38.17 | all_1740_0))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2958) implies:
% 230.29/38.17 | (2959) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1740_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2861) with fresh symbol all_1742_0 gives:
% 230.29/38.17 | (2960) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1742_0 &
% 230.29/38.17 | $i(all_1742_0) & ( ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1742_0,
% 230.29/38.17 | v_e) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.17 | all_1742_0, v_m____) |
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1742_0,
% 230.29/38.17 | all_667_0))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2960) implies:
% 230.29/38.17 | (2961) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1742_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2904) with fresh symbol all_1744_0 gives:
% 230.29/38.17 | (2962) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1744_0 &
% 230.29/38.17 | $i(all_1744_0) & ( ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1744_0,
% 230.29/38.17 | all_1424_0) |
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_675_0,
% 230.29/38.17 | all_1744_0)) & ( ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_675_0,
% 230.29/38.17 | all_1744_0) |
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1744_0,
% 230.29/38.17 | all_1424_0))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2962) implies:
% 230.29/38.17 | (2963) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1744_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2908) with fresh symbol all_1756_0 gives:
% 230.29/38.17 | (2964) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1756_0 &
% 230.29/38.17 | $i(all_1756_0) & ( ~ (all_1756_0 = all_1424_0) | all_1424_0 =
% 230.29/38.17 | all_675_0) & ( ~ (all_1756_0 = all_675_0) | all_1424_0 =
% 230.29/38.17 | all_675_0)
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2964) implies:
% 230.29/38.17 | (2965) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1756_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2907) with fresh symbol all_1758_0 gives:
% 230.29/38.17 | (2966) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1758_0 &
% 230.29/38.17 | $i(all_1758_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.17 | all_1758_0, all_675_0) |
% 230.29/38.17 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1424_0,
% 230.29/38.17 | all_1758_0)) & ( ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1424_0,
% 230.29/38.17 | all_1758_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.17 | all_1758_0, all_675_0))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2966) implies:
% 230.29/38.17 | (2967) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1758_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2906) with fresh symbol all_1770_0 gives:
% 230.29/38.17 | (2968) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1770_0 &
% 230.29/38.17 | $i(all_1770_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.17 | all_1770_0, all_1424_0) |
% 230.29/38.17 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_675_0,
% 230.29/38.17 | all_1770_0)) & ( ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_675_0,
% 230.29/38.17 | all_1770_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.17 | all_1770_0, all_1424_0))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2968) implies:
% 230.29/38.17 | (2969) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1770_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2905) with fresh symbol all_1772_0 gives:
% 230.29/38.17 | (2970) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1772_0 &
% 230.29/38.17 | $i(all_1772_0) & ( ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1772_0,
% 230.29/38.17 | all_675_0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.17 | all_1424_0, all_1772_0)) & ( ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1424_0,
% 230.29/38.17 | all_1772_0) |
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1772_0,
% 230.29/38.17 | all_675_0))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2970) implies:
% 230.29/38.17 | (2971) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1772_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2878) with fresh symbol all_1779_0 gives:
% 230.29/38.17 | (2972) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1779_0 &
% 230.29/38.17 | $i(all_1779_0) &
% 230.29/38.17 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_797_0,
% 230.29/38.17 | all_1779_0) | (( ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.17 | all_1779_0, v_da____) | ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 230.29/38.17 | all_1779_0)) & ( ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.17 | all_1779_0, v_m____) | ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_da____,
% 230.29/38.17 | all_1779_0))))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2972) implies:
% 230.29/38.17 | (2973) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1779_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2893) with fresh symbol all_1781_0 gives:
% 230.29/38.17 | (2974) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1781_0 &
% 230.29/38.17 | $i(all_1781_0) &
% 230.29/38.17 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_775_0,
% 230.29/38.17 | all_1781_0) | (( ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.17 | all_1781_0, v_d____) | ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 230.29/38.17 | all_1781_0)) & ( ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.17 | all_1781_0, v_m____) | ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_d____,
% 230.29/38.17 | all_1781_0))))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2974) implies:
% 230.29/38.17 | (2975) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1781_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2889) with fresh symbol all_1785_0 gives:
% 230.29/38.17 | (2976) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1785_0 &
% 230.29/38.17 | $i(all_1785_0) &
% 230.29/38.17 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1785_0,
% 230.29/38.17 | all_775_0) | (( ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.17 | all_1785_0, v_d____) | ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.17 | all_1785_0, v_m____)) & ( ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_d____,
% 230.29/38.17 | all_1785_0) | ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 230.29/38.17 | all_1785_0))))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2976) implies:
% 230.29/38.17 | (2977) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1785_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2874) with fresh symbol all_1787_0 gives:
% 230.29/38.17 | (2978) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1787_0 &
% 230.29/38.17 | $i(all_1787_0) &
% 230.29/38.17 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1787_0,
% 230.29/38.17 | all_797_0) | (( ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.17 | all_1787_0, v_da____) | ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.17 | all_1787_0, v_m____)) & ( ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_da____,
% 230.29/38.17 | all_1787_0) | ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 230.29/38.17 | all_1787_0))))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2978) implies:
% 230.29/38.17 | (2979) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1787_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2898) with fresh symbol all_1828_0 gives:
% 230.29/38.17 | (2980) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1828_0 &
% 230.29/38.17 | $i(all_1828_0) & ( ~ (all_1828_0 = all_775_0) | all_775_0 = v_d____
% 230.29/38.17 | | all_775_0 = v_m____) & (all_1828_0 = all_775_0 | ( ~ (all_1828_0
% 230.29/38.17 | = v_d____) & ~ (all_1828_0 = v_m____)))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2980) implies:
% 230.29/38.17 | (2981) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1828_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2885) with fresh symbol all_1830_0 gives:
% 230.29/38.17 | (2982) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1830_0 &
% 230.29/38.17 | $i(all_1830_0) & ( ~ (all_1830_0 = all_797_0) | all_797_0 = v_da____
% 230.29/38.17 | | all_797_0 = v_m____) & (all_1830_0 = all_797_0 | ( ~ (all_1830_0
% 230.29/38.17 | = v_da____) & ~ (all_1830_0 = v_m____)))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2982) implies:
% 230.29/38.17 | (2983) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1830_0
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2901) with fresh symbol all_1840_0 gives:
% 230.29/38.17 | (2984) ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls,
% 230.29/38.17 | all_976_1) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 230.29/38.17 | all_1840_0 & $i(all_1840_0) &
% 230.29/38.17 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1840_0,
% 230.29/38.17 | all_1024_0))) & (c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 230.29/38.17 | c_Int_OPls, all_976_1) |
% 230.29/38.17 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1840_0 &
% 230.29/38.17 | $i(all_1840_0) & ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1840_0,
% 230.29/38.17 | all_1024_0)))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2984) implies:
% 230.29/38.17 | (2985) ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, all_976_1)
% 230.29/38.17 | | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1840_0 &
% 230.29/38.17 | $i(all_1840_0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.17 | all_1840_0, all_1024_0))
% 230.29/38.17 |
% 230.29/38.17 | DELTA: instantiating (2900) with fresh symbol all_1852_0 gives:
% 230.29/38.17 | (2986) ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls,
% 230.29/38.17 | all_976_1) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 230.29/38.17 | all_1852_0 & $i(all_1852_0) &
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1852_0,
% 230.29/38.17 | all_1024_0))) &
% 230.29/38.17 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls,
% 230.29/38.17 | all_976_1) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 230.29/38.17 | all_1852_0 & $i(all_1852_0) & ~
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1852_0,
% 230.29/38.17 | all_1024_0)))
% 230.29/38.17 |
% 230.29/38.17 | ALPHA: (2986) implies:
% 230.29/38.17 | (2987) ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls,
% 230.29/38.17 | all_976_1) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 230.29/38.17 | all_1852_0 & $i(all_1852_0) &
% 230.29/38.17 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1852_0,
% 230.29/38.17 | all_1024_0))
% 230.29/38.18 |
% 230.29/38.18 | DELTA: instantiating (2883) with fresh symbol all_1861_0 gives:
% 230.29/38.18 | (2988) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1861_0 &
% 230.29/38.18 | $i(all_1861_0) & ( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_797_0,
% 230.29/38.18 | all_1861_0) |
% 230.29/38.18 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1861_0,
% 230.29/38.18 | v_da____) &
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 230.29/38.18 | all_1861_0)) |
% 230.29/38.18 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1861_0,
% 230.29/38.18 | v_m____) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.18 | v_da____, all_1861_0))) &
% 230.29/38.18 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_797_0,
% 230.29/38.18 | all_1861_0) | (( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.18 | all_1861_0, v_da____) | ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 230.29/38.18 | all_1861_0)) & ( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.18 | all_1861_0, v_m____) | ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_da____,
% 230.29/38.18 | all_1861_0))))
% 230.29/38.18 |
% 230.29/38.18 | ALPHA: (2988) implies:
% 230.29/38.18 | (2989) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1861_0
% 230.29/38.18 |
% 230.29/38.18 | DELTA: instantiating (2882) with fresh symbol all_1863_0 gives:
% 230.29/38.18 | (2990) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1863_0 &
% 230.29/38.18 | $i(all_1863_0) & ( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1863_0,
% 230.29/38.18 | all_797_0) |
% 230.29/38.18 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1863_0,
% 230.29/38.18 | v_da____) &
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1863_0,
% 230.29/38.18 | v_m____)) |
% 230.29/38.18 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_da____,
% 230.29/38.18 | all_1863_0) &
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 230.29/38.18 | all_1863_0))) &
% 230.29/38.18 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1863_0,
% 230.29/38.18 | all_797_0) | (( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.18 | all_1863_0, v_da____) | ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.18 | all_1863_0, v_m____)) & ( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_da____,
% 230.29/38.18 | all_1863_0) | ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 230.29/38.18 | all_1863_0))))
% 230.29/38.18 |
% 230.29/38.18 | ALPHA: (2990) implies:
% 230.29/38.18 | (2991) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1863_0
% 230.29/38.18 |
% 230.29/38.18 | DELTA: instantiating (2858) with fresh symbol all_1865_0 gives:
% 230.29/38.18 | (2992) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1865_0 &
% 230.29/38.18 | $i(all_1865_0) & ( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1865_0,
% 230.29/38.18 | all_667_0) |
% 230.29/38.18 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1865_0,
% 230.29/38.18 | v_e) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.18 | all_1865_0, v_m____)) |
% 230.29/38.18 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_e,
% 230.29/38.18 | all_1865_0) &
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 230.29/38.18 | all_1865_0))) &
% 230.29/38.18 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1865_0,
% 230.29/38.18 | all_667_0) | (( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.18 | all_1865_0, v_e) | ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.18 | all_1865_0, v_m____)) & ( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_e,
% 230.29/38.18 | all_1865_0) | ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 230.29/38.18 | all_1865_0))))
% 230.29/38.18 |
% 230.29/38.18 | ALPHA: (2992) implies:
% 230.29/38.18 | (2993) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1865_0
% 230.29/38.18 |
% 230.29/38.18 | DELTA: instantiating (2897) with fresh symbol all_1867_0 gives:
% 230.29/38.18 | (2994) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1867_0 &
% 230.29/38.18 | $i(all_1867_0) & ( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_775_0,
% 230.29/38.18 | all_1867_0) |
% 230.29/38.18 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1867_0,
% 230.29/38.18 | v_d____) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.18 | v_m____, all_1867_0)) |
% 230.29/38.18 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1867_0,
% 230.29/38.18 | v_m____) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.18 | v_d____, all_1867_0))) &
% 230.29/38.18 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_775_0,
% 230.29/38.18 | all_1867_0) | (( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.18 | all_1867_0, v_d____) | ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 230.29/38.18 | all_1867_0)) & ( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.18 | all_1867_0, v_m____) | ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_d____,
% 230.29/38.18 | all_1867_0))))
% 230.29/38.18 |
% 230.29/38.18 | ALPHA: (2994) implies:
% 230.29/38.18 | (2995) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1867_0
% 230.29/38.18 |
% 230.29/38.18 | DELTA: instantiating (2896) with fresh symbol all_1869_0 gives:
% 230.29/38.18 | (2996) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1869_0 &
% 230.29/38.18 | $i(all_1869_0) & ( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1869_0,
% 230.29/38.18 | all_775_0) |
% 230.29/38.18 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1869_0,
% 230.29/38.18 | v_d____) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.18 | all_1869_0, v_m____)) |
% 230.29/38.18 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_d____,
% 230.29/38.18 | all_1869_0) &
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 230.29/38.18 | all_1869_0))) &
% 230.29/38.18 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1869_0,
% 230.29/38.18 | all_775_0) | (( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.18 | all_1869_0, v_d____) | ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.18 | all_1869_0, v_m____)) & ( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_d____,
% 230.29/38.18 | all_1869_0) | ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 230.29/38.18 | all_1869_0))))
% 230.29/38.18 |
% 230.29/38.18 | ALPHA: (2996) implies:
% 230.29/38.18 | (2997) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1869_0
% 230.29/38.18 |
% 230.29/38.18 | DELTA: instantiating (2860) with fresh symbol all_1871_0 gives:
% 230.29/38.18 | (2998) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1871_0 &
% 230.29/38.18 | $i(all_1871_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.18 | all_667_0, all_1871_0) |
% 230.29/38.18 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1871_0, v_e)
% 230.29/38.18 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 230.29/38.18 | all_1871_0)) |
% 230.29/38.18 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1871_0,
% 230.29/38.18 | v_m____) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.18 | v_e, all_1871_0))) &
% 230.29/38.18 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_667_0,
% 230.29/38.18 | all_1871_0) | (( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1871_0,
% 230.29/38.18 | v_e) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.18 | v_m____, all_1871_0)) & ( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1871_0,
% 230.29/38.18 | v_m____) | ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_e,
% 230.29/38.18 | all_1871_0))))
% 230.29/38.18 |
% 230.29/38.18 | ALPHA: (2998) implies:
% 230.29/38.18 | (2999) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1871_0
% 230.29/38.18 |
% 230.29/38.18 | DELTA: instantiating (2859) with fresh symbol all_1879_0 gives:
% 230.29/38.18 | (3000) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1879_0 &
% 230.29/38.18 | $i(all_1879_0) & ( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_667_0,
% 230.29/38.18 | all_1879_0) |
% 230.29/38.18 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1879_0,
% 230.29/38.18 | v_e) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.18 | v_m____, all_1879_0)) |
% 230.29/38.18 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1879_0,
% 230.29/38.18 | v_m____) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.18 | v_e, all_1879_0))) &
% 230.29/38.18 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_667_0,
% 230.29/38.18 | all_1879_0) | (( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.18 | all_1879_0, v_e) | ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 230.29/38.18 | all_1879_0)) & ( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.18 | all_1879_0, v_m____) | ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_e,
% 230.29/38.18 | all_1879_0))))
% 230.29/38.18 |
% 230.29/38.18 | ALPHA: (3000) implies:
% 230.29/38.18 | (3001) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1879_0
% 230.29/38.18 |
% 230.29/38.18 | DELTA: instantiating (2871) with fresh symbol all_1894_0 gives:
% 230.29/38.18 | (3002) ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_da____,
% 230.29/38.18 | all_667_0) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 230.29/38.18 | all_1894_0 & $i(all_1894_0) & ( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1894_0,
% 230.29/38.18 | v_m____) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.18 | all_797_0, v_e)) &
% 230.29/38.18 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1894_0,
% 230.29/38.18 | v_m____) | (( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 230.29/38.18 | all_1894_0) |
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_e,
% 230.29/38.18 | all_797_0)) &
% 230.29/38.18 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_da____,
% 230.29/38.18 | all_1894_0) |
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 230.29/38.18 | all_1894_0)))))) &
% 230.29/38.18 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_da____,
% 230.29/38.18 | all_667_0) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 230.29/38.18 | all_1894_0 & $i(all_1894_0) &
% 230.29/38.18 | ((c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1894_0,
% 230.29/38.18 | v_m____) & ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_797_0,
% 230.29/38.18 | v_e)) | ( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1894_0,
% 230.29/38.18 | v_m____) &
% 230.29/38.18 | ((c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 230.29/38.18 | all_1894_0) & ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_e,
% 230.29/38.18 | all_797_0)) | ( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.18 | v_da____, all_1894_0) & ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 230.29/38.18 | all_1894_0)))))))
% 230.29/38.18 |
% 230.29/38.18 | ALPHA: (3002) implies:
% 230.29/38.18 | (3003) ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_da____,
% 230.29/38.18 | all_667_0) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 230.29/38.18 | all_1894_0 & $i(all_1894_0) & ( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1894_0,
% 230.29/38.18 | v_m____) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.18 | all_797_0, v_e)) &
% 230.29/38.18 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1894_0,
% 230.29/38.18 | v_m____) | (( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 230.29/38.18 | all_1894_0) |
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_e,
% 230.29/38.18 | all_797_0)) &
% 230.29/38.18 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_da____,
% 230.29/38.18 | all_1894_0) |
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 230.29/38.18 | all_1894_0)))))
% 230.29/38.18 |
% 230.29/38.18 | DELTA: instantiating (2887) with fresh symbol all_1898_0 gives:
% 230.29/38.18 | (3004) ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_d____,
% 230.29/38.18 | all_667_0) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 230.29/38.18 | all_1898_0 & $i(all_1898_0) & ( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1898_0,
% 230.29/38.18 | v_m____) |
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_775_0,
% 230.29/38.18 | v_e)) & (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.18 | all_1898_0, v_m____) | (( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 230.29/38.18 | all_1898_0) |
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_e,
% 230.29/38.18 | all_775_0)) &
% 230.29/38.18 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.18 | v_d____, all_1898_0) |
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 230.29/38.18 | all_1898_0)))))) &
% 230.29/38.18 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_d____,
% 230.29/38.18 | all_667_0) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 230.29/38.18 | all_1898_0 & $i(all_1898_0) &
% 230.29/38.18 | ((c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1898_0,
% 230.29/38.18 | v_m____) & ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.18 | all_775_0, v_e)) | ( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1898_0,
% 230.29/38.18 | v_m____) &
% 230.29/38.18 | ((c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 230.29/38.18 | all_1898_0) & ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_e,
% 230.29/38.18 | all_775_0)) | ( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.18 | v_d____, all_1898_0) & ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 230.29/38.18 | all_1898_0)))))))
% 230.29/38.18 |
% 230.29/38.18 | ALPHA: (3004) implies:
% 230.29/38.18 | (3005) ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_d____,
% 230.29/38.18 | all_667_0) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 230.29/38.18 | all_1898_0 & $i(all_1898_0) & ( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1898_0,
% 230.29/38.18 | v_m____) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.18 | all_775_0, v_e)) &
% 230.29/38.18 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1898_0,
% 230.29/38.18 | v_m____) | (( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 230.29/38.18 | all_1898_0) |
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_e,
% 230.29/38.18 | all_775_0)) &
% 230.29/38.18 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_d____,
% 230.29/38.18 | all_1898_0) |
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 230.29/38.18 | all_1898_0)))))
% 230.29/38.18 |
% 230.29/38.18 | DELTA: instantiating (2870) with fresh symbol all_1899_0 gives:
% 230.29/38.18 | (3006) ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_da____,
% 230.29/38.18 | all_667_0) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 230.29/38.18 | all_1899_0 & $i(all_1899_0) & ( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1899_0,
% 230.29/38.18 | v_m____) |
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_797_0,
% 230.29/38.18 | v_e)) & (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.29/38.18 | all_1899_0, v_m____) | (( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 230.29/38.18 | all_1899_0) |
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_e,
% 230.29/38.18 | all_797_0)) &
% 230.29/38.18 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.18 | v_da____, all_1899_0) |
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 230.29/38.18 | all_1899_0)))))) &
% 230.29/38.18 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_da____,
% 230.29/38.18 | all_667_0) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 230.29/38.18 | all_1899_0 & $i(all_1899_0) &
% 230.29/38.18 | ((c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1899_0,
% 230.29/38.18 | v_m____) & ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.18 | all_797_0, v_e)) | ( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1899_0,
% 230.29/38.18 | v_m____) &
% 230.29/38.18 | ((c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 230.29/38.18 | all_1899_0) & ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_e,
% 230.29/38.18 | all_797_0)) | ( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.18 | v_da____, all_1899_0) & ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 230.29/38.18 | all_1899_0)))))))
% 230.29/38.18 |
% 230.29/38.18 | ALPHA: (3006) implies:
% 230.29/38.18 | (3007) ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_da____,
% 230.29/38.18 | all_667_0) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 230.29/38.18 | all_1899_0 & $i(all_1899_0) & ( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1899_0,
% 230.29/38.18 | v_m____) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.29/38.18 | all_797_0, v_e)) &
% 230.29/38.18 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1899_0,
% 230.29/38.18 | v_m____) | (( ~
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 230.29/38.18 | all_1899_0) |
% 230.29/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_e,
% 230.29/38.18 | all_797_0)) &
% 230.29/38.18 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_da____,
% 230.29/38.18 | all_1899_0) |
% 230.29/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 230.29/38.18 | all_1899_0)))))
% 230.29/38.18 |
% 230.29/38.18 | REDUCE: (2269), (2902) imply:
% 230.29/38.18 | (3008) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls,
% 230.29/38.18 | all_976_1)
% 230.29/38.18 |
% 230.29/38.18 | BETA: splitting (2985) gives:
% 230.29/38.18 |
% 230.29/38.18 | Case 1:
% 230.29/38.18 | |
% 230.29/38.18 | | (3009) ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls,
% 230.29/38.18 | | all_976_1)
% 230.29/38.18 | |
% 230.29/38.18 | | PRED_UNIFY: (2903), (3009) imply:
% 230.29/38.18 | | (3010) $false
% 230.29/38.18 | |
% 230.29/38.18 | | CLOSE: (3010) is inconsistent.
% 230.29/38.18 | |
% 230.29/38.18 | Case 2:
% 230.29/38.18 | |
% 230.85/38.18 | | (3011) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1840_0 &
% 230.85/38.18 | | $i(all_1840_0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.85/38.18 | | all_1840_0, all_1024_0)
% 230.85/38.18 | |
% 230.85/38.18 | | ALPHA: (3011) implies:
% 230.85/38.18 | | (3012) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1840_0
% 230.85/38.18 | |
% 230.85/38.18 | | BETA: splitting (2987) gives:
% 230.85/38.18 | |
% 230.85/38.18 | | Case 1:
% 230.85/38.18 | | |
% 230.85/38.18 | | | (3013) ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls,
% 230.85/38.18 | | | all_976_1)
% 230.85/38.18 | | |
% 230.85/38.18 | | | PRED_UNIFY: (3008), (3013) imply:
% 230.85/38.18 | | | (3014) $false
% 230.85/38.18 | | |
% 230.85/38.18 | | | CLOSE: (3014) is inconsistent.
% 230.85/38.18 | | |
% 230.85/38.18 | | Case 2:
% 230.85/38.18 | | |
% 230.85/38.18 | | | (3015) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1852_0 &
% 230.85/38.18 | | | $i(all_1852_0) &
% 230.85/38.18 | | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1852_0,
% 230.85/38.18 | | | all_1024_0)
% 230.85/38.18 | | |
% 230.85/38.18 | | | ALPHA: (3015) implies:
% 230.85/38.18 | | | (3016) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1852_0
% 230.85/38.18 | | |
% 230.85/38.18 | | | BETA: splitting (3003) gives:
% 230.85/38.18 | | |
% 230.85/38.18 | | | Case 1:
% 230.85/38.18 | | | |
% 230.85/38.18 | | | | (3017) ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_da____,
% 230.85/38.18 | | | | all_667_0)
% 230.85/38.18 | | | |
% 230.85/38.18 | | | | PRED_UNIFY: (299), (3017) imply:
% 230.85/38.18 | | | | (3018) $false
% 230.85/38.18 | | | |
% 230.85/38.18 | | | | CLOSE: (3018) is inconsistent.
% 230.85/38.18 | | | |
% 230.85/38.19 | | | Case 2:
% 230.85/38.19 | | | |
% 230.85/38.19 | | | | (3019) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1894_0 &
% 230.85/38.19 | | | | $i(all_1894_0) & ( ~
% 230.85/38.19 | | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1894_0,
% 230.85/38.19 | | | | v_m____) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.85/38.19 | | | | all_797_0, v_e)) &
% 230.85/38.19 | | | | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1894_0,
% 230.85/38.19 | | | | v_m____) | (( ~
% 230.85/38.19 | | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 230.85/38.19 | | | | all_1894_0) |
% 230.85/38.19 | | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_e,
% 230.85/38.19 | | | | all_797_0)) &
% 230.85/38.19 | | | | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_da____,
% 230.85/38.19 | | | | all_1894_0) |
% 230.85/38.19 | | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 230.85/38.19 | | | | all_1894_0))))
% 230.85/38.19 | | | |
% 230.85/38.19 | | | | ALPHA: (3019) implies:
% 230.85/38.19 | | | | (3020) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1894_0
% 230.85/38.19 | | | |
% 230.85/38.19 | | | | BETA: splitting (3005) gives:
% 230.85/38.19 | | | |
% 230.85/38.19 | | | | Case 1:
% 230.85/38.19 | | | | |
% 230.85/38.19 | | | | | (3021) ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.85/38.19 | | | | | v_d____, all_667_0)
% 230.85/38.19 | | | | |
% 230.85/38.19 | | | | | PRED_UNIFY: (2856), (3021) imply:
% 230.85/38.19 | | | | | (3022) $false
% 230.85/38.19 | | | | |
% 230.85/38.19 | | | | | CLOSE: (3022) is inconsistent.
% 230.85/38.19 | | | | |
% 230.85/38.19 | | | | Case 2:
% 230.85/38.19 | | | | |
% 230.85/38.19 | | | | | (3023) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1898_0 &
% 230.85/38.19 | | | | | $i(all_1898_0) & ( ~
% 230.85/38.19 | | | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.85/38.19 | | | | | all_1898_0, v_m____) |
% 230.85/38.19 | | | | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.85/38.19 | | | | | all_775_0, v_e)) &
% 230.85/38.19 | | | | | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1898_0,
% 230.85/38.19 | | | | | v_m____) | (( ~
% 230.85/38.19 | | | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.85/38.19 | | | | | v_m____, all_1898_0) |
% 230.85/38.19 | | | | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.85/38.19 | | | | | v_e, all_775_0)) &
% 230.85/38.19 | | | | | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.85/38.19 | | | | | v_d____, all_1898_0) |
% 230.85/38.19 | | | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.85/38.19 | | | | | v_m____, all_1898_0))))
% 230.85/38.19 | | | | |
% 230.85/38.19 | | | | | ALPHA: (3023) implies:
% 230.85/38.19 | | | | | (3024) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1898_0
% 230.85/38.19 | | | | |
% 230.85/38.19 | | | | | BETA: splitting (3007) gives:
% 230.85/38.19 | | | | |
% 230.85/38.19 | | | | | Case 1:
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | (3025) ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.85/38.19 | | | | | | v_da____, all_667_0)
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | PRED_UNIFY: (2857), (3025) imply:
% 230.85/38.19 | | | | | | (3026) $false
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | CLOSE: (3026) is inconsistent.
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | Case 2:
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | (3027) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1899_0
% 230.85/38.19 | | | | | | & $i(all_1899_0) & ( ~
% 230.85/38.19 | | | | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.85/38.19 | | | | | | all_1899_0, v_m____) |
% 230.85/38.19 | | | | | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.85/38.19 | | | | | | all_797_0, v_e)) &
% 230.85/38.19 | | | | | | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.85/38.19 | | | | | | all_1899_0, v_m____) | (( ~
% 230.85/38.19 | | | | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.85/38.19 | | | | | | v_m____, all_1899_0) |
% 230.85/38.19 | | | | | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.85/38.19 | | | | | | v_e, all_797_0)) &
% 230.85/38.19 | | | | | | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 230.85/38.19 | | | | | | v_da____, all_1899_0) |
% 230.85/38.19 | | | | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.85/38.19 | | | | | | v_m____, all_1899_0))))
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | ALPHA: (3027) implies:
% 230.85/38.19 | | | | | | (3028) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1899_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1695_0, all_1701_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2933), (2939)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3029) all_1701_0 = all_1695_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1703_0, all_1711_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2941), (2945)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3030) all_1711_0 = all_1703_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1636_0, all_1711_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2915), (2945)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3031) all_1711_0 = all_1636_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1701_0, all_1713_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2939), (2947)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3032) all_1713_0 = all_1701_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1636_0, all_1715_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2915), (2949)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3033) all_1715_0 = all_1636_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1711_0, all_1723_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2945), (2957)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3034) all_1723_0 = all_1711_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1697_0, all_1723_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2935), (2957)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3035) all_1723_0 = all_1697_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1703_0, all_1740_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2941), (2959)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3036) all_1740_0 = all_1703_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1719_0, all_1744_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2953), (2963)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3037) all_1744_0 = all_1719_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1638_0, all_1758_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2917), (2967)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3038) all_1758_0 = all_1638_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1636_0, all_1758_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2915), (2967)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3039) all_1758_0 = all_1636_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1713_0, all_1772_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2947), (2971)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3040) all_1772_0 = all_1713_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1779_0, all_1785_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2973), (2977)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3041) all_1785_0 = all_1779_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1770_0, all_1785_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2969), (2977)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3042) all_1785_0 = all_1770_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1756_0, all_1785_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2965), (2977)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3043) all_1785_0 = all_1756_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1721_0, all_1785_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2955), (2977)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3044) all_1785_0 = all_1721_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1719_0, all_1785_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2953), (2977)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3045) all_1785_0 = all_1719_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1744_0, all_1787_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2963), (2979)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3046) all_1787_0 = all_1744_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1781_0, all_1828_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2975), (2981)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3047) all_1828_0 = all_1781_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1719_0, all_1828_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2953), (2981)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3048) all_1828_0 = all_1719_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1691_0, all_1828_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2931), (2981)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3049) all_1828_0 = all_1691_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1740_0, all_1830_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2959), (2983)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3050) all_1830_0 = all_1740_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1622_0, all_1830_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2913), (2983)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3051) all_1830_0 = all_1622_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1772_0, all_1840_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2971), (3012)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3052) all_1840_0 = all_1772_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1787_0, all_1852_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2979), (3016)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3053) all_1852_0 = all_1787_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1699_0, all_1852_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2937), (3016)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3054) all_1852_0 = all_1699_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1695_0, all_1861_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2933), (2989)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3055) all_1861_0 = all_1695_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1756_0, all_1863_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2965), (2991)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3056) all_1863_0 = all_1756_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1715_0, all_1865_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2949), (2993)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3057) all_1865_0 = all_1715_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1610_0, all_1865_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2911), (2993)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3058) all_1865_0 = all_1610_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1758_0, all_1867_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2967), (2995)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3059) all_1867_0 = all_1758_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1679_0, all_1867_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2925), (2995)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3060) all_1867_0 = all_1679_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1672_0, all_1867_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2919), (2995)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3061) all_1867_0 = all_1672_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1863_0, all_1869_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2991), (2997)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3062) all_1869_0 = all_1863_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1676_0, all_1869_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2923), (2997)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3063) all_1869_0 = all_1676_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1867_0, all_1871_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2995), (2999)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3064) all_1871_0 = all_1867_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1828_0, all_1871_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2981), (2999)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3065) all_1871_0 = all_1828_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1717_0, all_1871_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2951), (2999)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3066) all_1871_0 = all_1717_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1681_0, all_1871_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2927), (2999)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3067) all_1871_0 = all_1681_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1758_0, all_1879_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2967), (3001)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3068) all_1879_0 = all_1758_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1709_0, all_1879_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2943), (3001)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3069) all_1879_0 = all_1709_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_669_0, all_1894_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (303), (3020) gives:
% 230.85/38.19 | | | | | | (3070) all_1894_0 = all_669_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1840_0, all_1894_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (3012), (3020)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3071) all_1894_0 = all_1840_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1867_0, all_1898_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2995), (3024)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3072) all_1898_0 = all_1867_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1861_0, all_1898_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2989), (3024)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3073) all_1898_0 = all_1861_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1742_0, all_1898_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2961), (3024)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3074) all_1898_0 = all_1742_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1674_0, all_1898_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2921), (3024)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3075) all_1898_0 = all_1674_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1861_0, all_1899_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2989), (3028)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3076) all_1899_0 = all_1861_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | GROUND_INST: instantiating (289) with all_1689_0, all_1899_0,
% 230.85/38.19 | | | | | | tc_RealDef_Oreal, simplifying with (2929), (3028)
% 230.85/38.19 | | | | | | gives:
% 230.85/38.19 | | | | | | (3077) all_1899_0 = all_1689_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | COMBINE_EQS: (3076), (3077) imply:
% 230.85/38.19 | | | | | | (3078) all_1861_0 = all_1689_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | SIMP: (3078) implies:
% 230.85/38.19 | | | | | | (3079) all_1861_0 = all_1689_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | COMBINE_EQS: (3073), (3074) imply:
% 230.85/38.19 | | | | | | (3080) all_1861_0 = all_1742_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | SIMP: (3080) implies:
% 230.85/38.19 | | | | | | (3081) all_1861_0 = all_1742_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | COMBINE_EQS: (3072), (3074) imply:
% 230.85/38.19 | | | | | | (3082) all_1867_0 = all_1742_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | SIMP: (3082) implies:
% 230.85/38.19 | | | | | | (3083) all_1867_0 = all_1742_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | COMBINE_EQS: (3074), (3075) imply:
% 230.85/38.19 | | | | | | (3084) all_1742_0 = all_1674_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | COMBINE_EQS: (3070), (3071) imply:
% 230.85/38.19 | | | | | | (3085) all_1840_0 = all_669_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | SIMP: (3085) implies:
% 230.85/38.19 | | | | | | (3086) all_1840_0 = all_669_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | COMBINE_EQS: (3068), (3069) imply:
% 230.85/38.19 | | | | | | (3087) all_1758_0 = all_1709_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | SIMP: (3087) implies:
% 230.85/38.19 | | | | | | (3088) all_1758_0 = all_1709_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | COMBINE_EQS: (3064), (3066) imply:
% 230.85/38.19 | | | | | | (3089) all_1867_0 = all_1717_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | SIMP: (3089) implies:
% 230.85/38.19 | | | | | | (3090) all_1867_0 = all_1717_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | COMBINE_EQS: (3066), (3067) imply:
% 230.85/38.19 | | | | | | (3091) all_1717_0 = all_1681_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | COMBINE_EQS: (3065), (3066) imply:
% 230.85/38.19 | | | | | | (3092) all_1828_0 = all_1717_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | SIMP: (3092) implies:
% 230.85/38.19 | | | | | | (3093) all_1828_0 = all_1717_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | COMBINE_EQS: (3062), (3063) imply:
% 230.85/38.19 | | | | | | (3094) all_1863_0 = all_1676_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | SIMP: (3094) implies:
% 230.85/38.19 | | | | | | (3095) all_1863_0 = all_1676_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | COMBINE_EQS: (3060), (3061) imply:
% 230.85/38.19 | | | | | | (3096) all_1679_0 = all_1672_0
% 230.85/38.19 | | | | | |
% 230.85/38.19 | | | | | | COMBINE_EQS: (3060), (3090) imply:
% 230.85/38.20 | | | | | | (3097) all_1717_0 = all_1679_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3097) implies:
% 230.85/38.20 | | | | | | (3098) all_1717_0 = all_1679_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3060), (3083) imply:
% 230.85/38.20 | | | | | | (3099) all_1742_0 = all_1679_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3099) implies:
% 230.85/38.20 | | | | | | (3100) all_1742_0 = all_1679_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3059), (3060) imply:
% 230.85/38.20 | | | | | | (3101) all_1758_0 = all_1679_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3101) implies:
% 230.85/38.20 | | | | | | (3102) all_1758_0 = all_1679_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3057), (3058) imply:
% 230.85/38.20 | | | | | | (3103) all_1715_0 = all_1610_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3103) implies:
% 230.85/38.20 | | | | | | (3104) all_1715_0 = all_1610_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3056), (3095) imply:
% 230.85/38.20 | | | | | | (3105) all_1756_0 = all_1676_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3105) implies:
% 230.85/38.20 | | | | | | (3106) all_1756_0 = all_1676_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3055), (3079) imply:
% 230.85/38.20 | | | | | | (3107) all_1695_0 = all_1689_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3107) implies:
% 230.85/38.20 | | | | | | (3108) all_1695_0 = all_1689_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3079), (3081) imply:
% 230.85/38.20 | | | | | | (3109) all_1742_0 = all_1689_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3109) implies:
% 230.85/38.20 | | | | | | (3110) all_1742_0 = all_1689_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3053), (3054) imply:
% 230.85/38.20 | | | | | | (3111) all_1787_0 = all_1699_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3111) implies:
% 230.85/38.20 | | | | | | (3112) all_1787_0 = all_1699_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3052), (3086) imply:
% 230.85/38.20 | | | | | | (3113) all_1772_0 = all_669_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3113) implies:
% 230.85/38.20 | | | | | | (3114) all_1772_0 = all_669_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3050), (3051) imply:
% 230.85/38.20 | | | | | | (3115) all_1740_0 = all_1622_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3115) implies:
% 230.85/38.20 | | | | | | (3116) all_1740_0 = all_1622_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3047), (3049) imply:
% 230.85/38.20 | | | | | | (3117) all_1781_0 = all_1691_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3047), (3048) imply:
% 230.85/38.20 | | | | | | (3118) all_1781_0 = all_1719_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3047), (3093) imply:
% 230.85/38.20 | | | | | | (3119) all_1781_0 = all_1717_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3046), (3112) imply:
% 230.85/38.20 | | | | | | (3120) all_1744_0 = all_1699_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3120) implies:
% 230.85/38.20 | | | | | | (3121) all_1744_0 = all_1699_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3041), (3043) imply:
% 230.85/38.20 | | | | | | (3122) all_1779_0 = all_1756_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3041), (3042) imply:
% 230.85/38.20 | | | | | | (3123) all_1779_0 = all_1770_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3041), (3045) imply:
% 230.85/38.20 | | | | | | (3124) all_1779_0 = all_1719_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3041), (3044) imply:
% 230.85/38.20 | | | | | | (3125) all_1779_0 = all_1721_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3117), (3119) imply:
% 230.85/38.20 | | | | | | (3126) all_1717_0 = all_1691_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3126) implies:
% 230.85/38.20 | | | | | | (3127) all_1717_0 = all_1691_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3117), (3118) imply:
% 230.85/38.20 | | | | | | (3128) all_1719_0 = all_1691_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3128) implies:
% 230.85/38.20 | | | | | | (3129) all_1719_0 = all_1691_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3123), (3124) imply:
% 230.85/38.20 | | | | | | (3130) all_1770_0 = all_1719_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3122), (3123) imply:
% 230.85/38.20 | | | | | | (3131) all_1770_0 = all_1756_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3123), (3125) imply:
% 230.85/38.20 | | | | | | (3132) all_1770_0 = all_1721_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3040), (3114) imply:
% 230.85/38.20 | | | | | | (3133) all_1713_0 = all_669_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3133) implies:
% 230.85/38.20 | | | | | | (3134) all_1713_0 = all_669_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3131), (3132) imply:
% 230.85/38.20 | | | | | | (3135) all_1756_0 = all_1721_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3135) implies:
% 230.85/38.20 | | | | | | (3136) all_1756_0 = all_1721_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3130), (3132) imply:
% 230.85/38.20 | | | | | | (3137) all_1721_0 = all_1719_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3038), (3088) imply:
% 230.85/38.20 | | | | | | (3138) all_1709_0 = all_1638_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3088), (3102) imply:
% 230.85/38.20 | | | | | | (3139) all_1709_0 = all_1679_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3039), (3088) imply:
% 230.85/38.20 | | | | | | (3140) all_1709_0 = all_1636_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3106), (3136) imply:
% 230.85/38.20 | | | | | | (3141) all_1721_0 = all_1676_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3141) implies:
% 230.85/38.20 | | | | | | (3142) all_1721_0 = all_1676_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3037), (3121) imply:
% 230.85/38.20 | | | | | | (3143) all_1719_0 = all_1699_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3143) implies:
% 230.85/38.20 | | | | | | (3144) all_1719_0 = all_1699_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3084), (3110) imply:
% 230.85/38.20 | | | | | | (3145) all_1689_0 = all_1674_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3145) implies:
% 230.85/38.20 | | | | | | (3146) all_1689_0 = all_1674_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3084), (3100) imply:
% 230.85/38.20 | | | | | | (3147) all_1679_0 = all_1674_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3147) implies:
% 230.85/38.20 | | | | | | (3148) all_1679_0 = all_1674_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3036), (3116) imply:
% 230.85/38.20 | | | | | | (3149) all_1703_0 = all_1622_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3149) implies:
% 230.85/38.20 | | | | | | (3150) all_1703_0 = all_1622_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3034), (3035) imply:
% 230.85/38.20 | | | | | | (3151) all_1711_0 = all_1697_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3151) implies:
% 230.85/38.20 | | | | | | (3152) all_1711_0 = all_1697_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3137), (3142) imply:
% 230.85/38.20 | | | | | | (3153) all_1719_0 = all_1676_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3153) implies:
% 230.85/38.20 | | | | | | (3154) all_1719_0 = all_1676_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3144), (3154) imply:
% 230.85/38.20 | | | | | | (3155) all_1699_0 = all_1676_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3129), (3144) imply:
% 230.85/38.20 | | | | | | (3156) all_1699_0 = all_1691_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3091), (3127) imply:
% 230.85/38.20 | | | | | | (3157) all_1691_0 = all_1681_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3157) implies:
% 230.85/38.20 | | | | | | (3158) all_1691_0 = all_1681_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3091), (3098) imply:
% 230.85/38.20 | | | | | | (3159) all_1681_0 = all_1679_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3033), (3104) imply:
% 230.85/38.20 | | | | | | (3160) all_1636_0 = all_1610_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3160) implies:
% 230.85/38.20 | | | | | | (3161) all_1636_0 = all_1610_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3032), (3134) imply:
% 230.85/38.20 | | | | | | (3162) all_1701_0 = all_669_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3162) implies:
% 230.85/38.20 | | | | | | (3163) all_1701_0 = all_669_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3031), (3152) imply:
% 230.85/38.20 | | | | | | (3164) all_1697_0 = all_1636_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3030), (3152) imply:
% 230.85/38.20 | | | | | | (3165) all_1703_0 = all_1697_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3165) implies:
% 230.85/38.20 | | | | | | (3166) all_1703_0 = all_1697_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3138), (3139) imply:
% 230.85/38.20 | | | | | | (3167) all_1679_0 = all_1638_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3167) implies:
% 230.85/38.20 | | | | | | (3168) all_1679_0 = all_1638_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3138), (3140) imply:
% 230.85/38.20 | | | | | | (3169) all_1638_0 = all_1636_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3150), (3166) imply:
% 230.85/38.20 | | | | | | (3170) all_1697_0 = all_1622_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3170) implies:
% 230.85/38.20 | | | | | | (3171) all_1697_0 = all_1622_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3029), (3163) imply:
% 230.85/38.20 | | | | | | (3172) all_1695_0 = all_669_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3172) implies:
% 230.85/38.20 | | | | | | (3173) all_1695_0 = all_669_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3155), (3156) imply:
% 230.85/38.20 | | | | | | (3174) all_1691_0 = all_1676_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3174) implies:
% 230.85/38.20 | | | | | | (3175) all_1691_0 = all_1676_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3164), (3171) imply:
% 230.85/38.20 | | | | | | (3176) all_1636_0 = all_1622_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3176) implies:
% 230.85/38.20 | | | | | | (3177) all_1636_0 = all_1622_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3108), (3173) imply:
% 230.85/38.20 | | | | | | (3178) all_1689_0 = all_669_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3178) implies:
% 230.85/38.20 | | | | | | (3179) all_1689_0 = all_669_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3158), (3175) imply:
% 230.85/38.20 | | | | | | (3180) all_1681_0 = all_1676_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3180) implies:
% 230.85/38.20 | | | | | | (3181) all_1681_0 = all_1676_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3146), (3179) imply:
% 230.85/38.20 | | | | | | (3182) all_1674_0 = all_669_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3182) implies:
% 230.85/38.20 | | | | | | (3183) all_1674_0 = all_669_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3159), (3181) imply:
% 230.85/38.20 | | | | | | (3184) all_1679_0 = all_1676_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3184) implies:
% 230.85/38.20 | | | | | | (3185) all_1679_0 = all_1676_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3148), (3185) imply:
% 230.85/38.20 | | | | | | (3186) all_1676_0 = all_1674_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3168), (3185) imply:
% 230.85/38.20 | | | | | | (3187) all_1676_0 = all_1638_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3096), (3185) imply:
% 230.85/38.20 | | | | | | (3188) all_1676_0 = all_1672_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3187), (3188) imply:
% 230.85/38.20 | | | | | | (3189) all_1672_0 = all_1638_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3186), (3188) imply:
% 230.85/38.20 | | | | | | (3190) all_1674_0 = all_1672_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3190) implies:
% 230.85/38.20 | | | | | | (3191) all_1674_0 = all_1672_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3183), (3191) imply:
% 230.85/38.20 | | | | | | (3192) all_1672_0 = all_669_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3192) implies:
% 230.85/38.20 | | | | | | (3193) all_1672_0 = all_669_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3189), (3193) imply:
% 230.85/38.20 | | | | | | (3194) all_1638_0 = all_669_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3194) implies:
% 230.85/38.20 | | | | | | (3195) all_1638_0 = all_669_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3169), (3195) imply:
% 230.85/38.20 | | | | | | (3196) all_1636_0 = all_669_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | SIMP: (3196) implies:
% 230.85/38.20 | | | | | | (3197) all_1636_0 = all_669_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3161), (3177) imply:
% 230.85/38.20 | | | | | | (3198) all_1622_0 = all_1610_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3177), (3197) imply:
% 230.85/38.20 | | | | | | (3199) all_1622_0 = all_669_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | COMBINE_EQS: (3198), (3199) imply:
% 230.85/38.20 | | | | | | (3200) all_1610_0 = all_669_0
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | REDUCE: (2910), (3200) imply:
% 230.85/38.20 | | | | | | (3201) ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 230.85/38.20 | | | | | | all_669_0, v_m____)
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | PRED_UNIFY: (302), (3201) imply:
% 230.85/38.20 | | | | | | (3202) $false
% 230.85/38.20 | | | | | |
% 230.85/38.20 | | | | | | CLOSE: (3202) is inconsistent.
% 230.85/38.20 | | | | | |
% 230.85/38.21 | | | | | End of split
% 230.85/38.21 | | | | |
% 230.85/38.21 | | | | End of split
% 230.85/38.21 | | | |
% 230.85/38.21 | | | End of split
% 230.85/38.21 | | |
% 230.85/38.21 | | End of split
% 230.85/38.21 | |
% 230.85/38.21 | End of split
% 230.85/38.21 |
% 230.85/38.21 End of proof
% 230.85/38.21 % SZS output end Proof for theBenchmark
% 230.85/38.21
% 230.85/38.21 37605ms
%------------------------------------------------------------------------------