TSTP Solution File: SWW266+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWW266+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 : n012.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 00:49:38 EDT 2023
% Result : Theorem 123.79s 16.98s
% Output : Proof 276.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW266+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 19:26:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.62 ________ _____
% 0.20/0.62 ___ __ \_________(_)________________________________
% 0.20/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.62
% 0.20/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.62 (2023-06-19)
% 0.20/0.62
% 0.20/0.62 (c) Philipp Rümmer, 2009-2023
% 0.20/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.62 Amanda Stjerna.
% 0.20/0.62 Free software under BSD-3-Clause.
% 0.20/0.62
% 0.20/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.62
% 0.20/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.64 Running up to 7 provers in parallel.
% 0.20/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 18.56/3.22 Prover 4: Preprocessing ...
% 18.85/3.27 Prover 6: Preprocessing ...
% 18.85/3.27 Prover 0: Preprocessing ...
% 18.85/3.29 Prover 1: Preprocessing ...
% 18.85/3.33 Prover 3: Preprocessing ...
% 19.62/3.37 Prover 2: Preprocessing ...
% 19.62/3.39 Prover 5: Preprocessing ...
% 51.51/7.58 Prover 1: Warning: ignoring some quantifiers
% 53.23/7.74 Prover 3: Warning: ignoring some quantifiers
% 54.54/7.89 Prover 3: Constructing countermodel ...
% 54.54/7.93 Prover 1: Constructing countermodel ...
% 57.68/8.39 Prover 6: Proving ...
% 60.76/8.71 Prover 4: Warning: ignoring some quantifiers
% 63.64/9.10 Prover 4: Constructing countermodel ...
% 65.02/9.34 Prover 5: Proving ...
% 71.16/10.06 Prover 0: Proving ...
% 72.36/10.27 Prover 2: Proving ...
% 81.85/11.48 Prover 2: stopped
% 81.85/11.48 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 88.55/12.32 Prover 7: Preprocessing ...
% 99.27/13.86 Prover 7: Warning: ignoring some quantifiers
% 100.11/13.98 Prover 5: stopped
% 100.11/13.99 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 102.38/14.14 Prover 7: Constructing countermodel ...
% 107.34/14.76 Prover 8: Preprocessing ...
% 115.56/15.96 Prover 8: Warning: ignoring some quantifiers
% 116.10/15.99 Prover 1: stopped
% 116.10/15.99 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 117.62/16.09 Prover 8: Constructing countermodel ...
% 122.32/16.79 Prover 9: Preprocessing ...
% 123.79/16.98 Prover 3: proved (16316ms)
% 123.79/16.98
% 123.79/16.98 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 123.79/16.98
% 124.50/16.99 Prover 6: stopped
% 124.61/17.01 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 124.61/17.01 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 124.61/17.03 Prover 0: stopped
% 124.61/17.03 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 137.66/18.85 Prover 10: Preprocessing ...
% 137.66/18.85 Prover 13: Preprocessing ...
% 137.66/18.90 Prover 11: Preprocessing ...
% 146.94/19.96 Prover 10: Warning: ignoring some quantifiers
% 147.71/20.05 Prover 10: Constructing countermodel ...
% 150.77/20.49 Prover 9: Warning: ignoring some quantifiers
% 151.91/20.62 Prover 9: Constructing countermodel ...
% 151.91/20.63 Prover 9: stopped
% 151.91/20.64 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 152.78/20.73 Prover 13: Warning: ignoring some quantifiers
% 153.83/20.97 Prover 13: Constructing countermodel ...
% 156.06/21.15 Prover 11: Warning: ignoring some quantifiers
% 157.27/21.35 Prover 11: Constructing countermodel ...
% 158.13/21.42 Prover 16: Preprocessing ...
% 169.31/22.84 Prover 16: Warning: ignoring some quantifiers
% 169.31/22.91 Prover 16: Constructing countermodel ...
% 190.59/25.66 Prover 13: stopped
% 190.59/25.68 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 195.21/26.36 Prover 19: Preprocessing ...
% 204.73/27.66 Prover 19: Warning: ignoring some quantifiers
% 205.62/27.77 Prover 19: Constructing countermodel ...
% 213.73/28.83 Prover 19: stopped
% 226.06/30.68 Prover 16: stopped
% 227.63/30.95 Prover 7: stopped
% 271.78/39.77 Prover 10: Found proof (size 1691)
% 271.78/39.77 Prover 10: proved (22781ms)
% 271.78/39.78 Prover 8: stopped
% 271.78/39.78 Prover 11: stopped
% 271.78/39.78 Prover 4: stopped
% 271.78/39.78
% 271.78/39.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 271.78/39.79
% 274.65/41.59 % SZS output start Proof for theBenchmark
% 274.71/41.62 Assumptions after simplification:
% 274.71/41.62 ---------------------------------
% 274.71/41.62
% 274.71/41.62 (arity_RealDef__Oreal__Orderings_Oorder)
% 274.71/41.63 $i(tc_RealDef_Oreal) & class_Orderings_Oorder(tc_RealDef_Oreal)
% 274.71/41.63
% 274.71/41.63 (arity_RealDef__Oreal__Rings_Ocomm__semiring__1)
% 274.71/41.63 $i(tc_RealDef_Oreal) & class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal)
% 274.71/41.63
% 274.71/41.63 (conj_0)
% 274.71/41.65 $i(v_s____) & $i(v_w____) & $i(v_t____) & $i(tc_RealDef_Oreal) & $i(v_k____) &
% 274.71/41.65 $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 274.71/41.65 $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 274.71/41.65 ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ?
% 274.71/41.65 [v14: $i] : ? [v15: $i] : ? [v16: $i] :
% 274.71/41.65 (c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v0 &
% 274.71/41.65 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v12) = v13 &
% 274.71/41.65 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v14 &
% 274.71/41.65 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v1 &
% 274.71/41.65 c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v2 &
% 274.71/41.65 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v10 & hAPP(v15, v_k____)
% 274.71/41.65 = v16 & hAPP(v14, v_t____) = v15 & hAPP(v10, v4) = v11 & hAPP(v9, v11) = v12
% 274.71/41.65 & hAPP(v7, v4) = v8 & hAPP(v5, v_k____) = v6 & hAPP(v3, v_w____) = v4 &
% 274.71/41.65 hAPP(v1, v4) = v5 & hAPP(v0, v8) = v9 & hAPP(v0, v6) = v7 & hAPP(v0, v2) =
% 274.71/41.65 v3 & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) &
% 274.71/41.65 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 274.71/41.65 $i(v1) & $i(v0) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13,
% 274.71/41.65 v16))
% 274.71/41.65
% 274.71/41.65 (fact_LIMSEQ__inverse__realpow__zero__lemma)
% 274.71/41.66 $i(tc_RealDef_Oreal) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 274.71/41.66 $i] : ? [v3: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 274.71/41.66 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v3 &
% 274.71/41.66 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v2 &
% 274.71/41.66 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2) &
% 274.94/41.66 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 274.94/41.66 [v8: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v2) = v6)
% 274.94/41.66 | ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v3, v6) = v7) | ~ $i(v5) | ~ $i(v4)
% 274.94/41.66 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v5) | ? [v9:
% 274.94/41.66 $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] :
% 274.94/41.66 (c_RealDef_Oreal(tc_Nat_Onat, v4) = v9 &
% 274.94/41.66 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v11, v2) = v12 & hAPP(v10,
% 274.94/41.66 v5) = v11 & hAPP(v1, v9) = v10 & $i(v12) & $i(v11) & $i(v10) & $i(v9)
% 274.94/41.66 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v12, v8))))
% 274.94/41.66
% 274.94/41.66 (fact__0960_A_060_At_A_094_Ak_096)
% 274.94/41.66 $i(v_t____) & $i(tc_RealDef_Oreal) & $i(v_k____) & ? [v0: $i] : ? [v1: $i] :
% 274.94/41.66 ? [v2: $i] : ? [v3: $i] : (c_Power_Opower__class_Opower(tc_RealDef_Oreal) =
% 274.94/41.66 v1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & hAPP(v2, v_k____)
% 274.94/41.66 = v3 & hAPP(v1, v_t____) = v2 & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 274.94/41.66 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3))
% 274.94/41.66
% 274.94/41.66 (fact__0961_A_L_Acomplex__of__real_At_A_094_Ak_A_K_A_Iw_A_094_Ak_A_K_Aa_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_A_061complex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_096)
% 274.94/41.67 $i(v_a____) & $i(v_s____) & $i(v_w____) & $i(v_t____) & $i(tc_RealDef_Oreal) &
% 274.94/41.67 $i(v_k____) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 274.94/41.67 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 274.94/41.67 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 274.94/41.67 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 274.94/41.67 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 274.94/41.67 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ?
% 274.94/41.67 [v28: $i] : ? [v29: $i] : (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,
% 274.94/41.67 v24, v27) = v28 & c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v29,
% 274.94/41.67 v22) = v23 & c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v12, v22) =
% 274.94/41.67 v23 & c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v11) = v12 &
% 274.94/41.67 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 274.94/41.67 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v25 &
% 274.94/41.67 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 274.94/41.67 c_RealVector_Oof__real(tc_Complex_Ocomplex, v28) = v29 &
% 274.94/41.67 c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v3 &
% 274.94/41.67 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v24 &
% 274.94/41.67 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 274.94/41.67 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v20 & hAPP(v26, v_k____)
% 274.94/41.67 = v27 & hAPP(v25, v_t____) = v26 & hAPP(v20, v14) = v21 & hAPP(v19, v21) =
% 274.94/41.67 v22 & hAPP(v17, v14) = v18 & hAPP(v15, v_k____) = v16 & hAPP(v13, v_w____) =
% 274.94/41.67 v14 & hAPP(v9, v_a____) = v10 & hAPP(v7, v_k____) = v8 & hAPP(v6, v10) = v11
% 274.94/41.67 & hAPP(v4, v_k____) = v5 & hAPP(v2, v14) = v15 & hAPP(v2, v3) = v4 &
% 274.94/41.67 hAPP(v2, v_w____) = v7 & hAPP(v1, v18) = v19 & hAPP(v1, v16) = v17 &
% 274.94/41.67 hAPP(v1, v8) = v9 & hAPP(v1, v5) = v6 & hAPP(v1, v3) = v13 & $i(v29) &
% 274.94/41.67 $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) &
% 274.94/41.67 $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) &
% 274.94/41.67 $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 274.94/41.67 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 274.94/41.67
% 274.94/41.67 (fact__0961_A_L_Aw_A_094_Ak_A_K_Aa_A_N_A1_A_061_A0_A_N_A1_096)
% 274.94/41.67 $i(v_a____) & $i(v_w____) & $i(v_k____) & $i(tc_Complex_Ocomplex) & ? [v0:
% 274.94/41.67 $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 274.94/41.67 ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 274.94/41.67 (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v9, v0) = v8 &
% 274.94/41.67 c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v7, v0) = v8 &
% 274.94/41.67 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v6) = v7 &
% 274.94/41.67 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 274.94/41.67 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 274.94/41.67 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 274.94/41.67 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v9 & hAPP(v5, v_a____) =
% 274.94/41.67 v6 & hAPP(v3, v_k____) = v4 & hAPP(v2, v_w____) = v3 & hAPP(v1, v4) = v5 &
% 274.94/41.67 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 274.94/41.67 $i(v1) & $i(v0))
% 274.94/41.67
% 274.94/41.67 (fact__0961_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_Ia_A_L_Acomplex__of__real_At_A_K_Aw_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_A_0611_A_L_Acomplex__of__real_At_A_094_Ak_A_K_A_Iw_A_094_Ak_A_K_Aa_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_096)
% 274.94/41.68 $i(v_a____) & $i(v_s____) & $i(v_w____) & $i(v_t____) & $i(v_k____) &
% 274.94/41.68 $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 274.94/41.68 $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 274.94/41.68 ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ?
% 274.94/41.68 [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 274.94/41.68 [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ?
% 274.94/41.68 [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] :
% 274.94/41.68 (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v24, v27) = v15 &
% 274.94/41.68 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v23) = v24 &
% 274.94/41.68 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v14) = v15 &
% 274.94/41.68 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, v12) = v13 &
% 274.94/41.68 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 274.94/41.68 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 274.94/41.68 c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v3 &
% 274.94/41.68 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 274.94/41.68 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v10 & hAPP(v26, v11) =
% 274.94/41.68 v27 & hAPP(v21, v_a____) = v22 & hAPP(v19, v_k____) = v20 & hAPP(v18, v22) =
% 274.94/41.68 v23 & hAPP(v16, v_k____) = v17 & hAPP(v10, v5) = v11 & hAPP(v9, v11) = v12 &
% 274.94/41.68 hAPP(v8, v13) = v14 & hAPP(v8, v5) = v25 & hAPP(v6, v_k____) = v7 & hAPP(v4,
% 274.94/41.68 v_w____) = v5 & hAPP(v2, v5) = v6 & hAPP(v2, v3) = v16 & hAPP(v2, v_w____)
% 274.94/41.68 = v19 & hAPP(v1, v25) = v26 & hAPP(v1, v20) = v21 & hAPP(v1, v17) = v18 &
% 274.94/41.68 hAPP(v1, v7) = v8 & hAPP(v1, v5) = v9 & hAPP(v1, v3) = v4 & $i(v27) &
% 274.94/41.68 $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) &
% 274.94/41.68 $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) &
% 274.94/41.68 $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 274.94/41.68 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 274.94/41.68
% 274.94/41.68 (fact__0961_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_Ia_A_L_Acomplex__of__real_At_A_K_Aw_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_A_061complex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_096)
% 274.94/41.69 $i(v_a____) & $i(v_s____) & $i(v_w____) & $i(v_t____) & $i(tc_RealDef_Oreal) &
% 274.94/41.69 $i(v_k____) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 274.94/41.69 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 274.94/41.69 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 274.94/41.69 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 274.94/41.69 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 274.94/41.69 [v23: $i] : ? [v24: $i] : (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,
% 274.94/41.69 v16, v19) = v20 & c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v21,
% 274.94/41.69 v24) = v15 & c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v14) =
% 274.94/41.69 v15 & c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, v12) = v13 &
% 274.94/41.69 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 274.94/41.69 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v17 &
% 274.94/41.69 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 274.94/41.69 c_RealVector_Oof__real(tc_Complex_Ocomplex, v20) = v21 &
% 274.94/41.69 c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v3 &
% 274.94/41.69 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v16 &
% 274.94/41.69 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 274.94/41.69 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v10 & hAPP(v23, v11) =
% 274.94/41.69 v24 & hAPP(v18, v_k____) = v19 & hAPP(v17, v_t____) = v18 & hAPP(v10, v5) =
% 274.94/41.69 v11 & hAPP(v9, v11) = v12 & hAPP(v8, v13) = v14 & hAPP(v8, v5) = v22 &
% 274.94/41.69 hAPP(v6, v_k____) = v7 & hAPP(v4, v_w____) = v5 & hAPP(v2, v5) = v6 &
% 274.94/41.69 hAPP(v1, v22) = v23 & hAPP(v1, v7) = v8 & hAPP(v1, v5) = v9 & hAPP(v1, v3) =
% 274.94/41.69 v4 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) &
% 274.94/41.69 $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) &
% 274.94/41.69 $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 274.94/41.69 $i(v2) & $i(v1) & $i(v0))
% 274.94/41.69
% 274.94/41.69 (fact__096EX_Ak_Aa_Aqa_O_Aa_A_126_061_A0_A_G_Ak_A_126_061_A0_A_G_Apsize_Aqa_A_L_Ak_A_L_A1_A_061_Apsize_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A_G_A_IALL_Az_O_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Az_A_061_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A0_A_L_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aqa_J_Az_J_096)
% 274.94/41.69 $i(v_q____) & $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ?
% 274.94/41.69 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i]
% 274.94/41.69 : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ?
% 274.94/41.69 [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ?
% 274.94/41.69 [v17: $i] : ? [v18: $i] : ( ~ (v13 = v0) & ~ (v12 = v1) &
% 274.94/41.69 c_Polynomial_OpCons(tc_Complex_Ocomplex, v13, v14) = v17 &
% 274.94/41.69 c_Polynomial_Osmult(tc_Complex_Ocomplex, v5, v_q____) = v6 &
% 274.94/41.69 c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v4) = v5 &
% 274.94/41.69 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v14)
% 274.94/41.69 = v15 &
% 274.94/41.69 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v6) =
% 274.94/41.69 v7 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v16, v2) = v7 &
% 274.94/41.69 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v15, v12) = v16 &
% 274.94/41.69 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v10 &
% 274.94/41.69 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v11 &
% 274.94/41.69 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 &
% 274.94/41.69 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 274.94/41.69 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 &
% 274.94/41.69 c_Polynomial_Opoly(tc_Complex_Ocomplex, v17) = v18 &
% 274.94/41.69 c_Polynomial_Opoly(tc_Complex_Ocomplex, v6) = v8 &
% 274.94/41.69 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v3 & hAPP(v8, v0) = v9 &
% 274.94/41.69 hAPP(v3, v0) = v4 & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 274.94/41.69 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 274.94/41.69 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v19: $i] : !
% 274.94/41.69 [v20: $i] : ( ~ (hAPP(v8, v19) = v20) | ~ $i(v19) | ? [v21: $i] : ? [v22:
% 274.94/41.69 $i] : ? [v23: $i] : ? [v24: $i] : ? [v25: $i] :
% 274.94/41.69 (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v9, v25) = v20 &
% 274.94/41.69 hAPP(v23, v24) = v25 & hAPP(v21, v12) = v22 & hAPP(v18, v19) = v24 &
% 274.94/41.69 hAPP(v11, v19) = v21 & hAPP(v10, v22) = v23 & $i(v25) & $i(v24) &
% 274.94/41.69 $i(v23) & $i(v22) & $i(v21) & $i(v20))))
% 274.94/41.69
% 274.94/41.69 (fact__096EX_Am_0620_O_AALL_Az_O_Acmod_Az_A_060_061_Acmod_Aw_A_N_N_062_Acmod_A_Ipoly_As_Az_J_A_060_061_Am_096)
% 274.94/41.70 $i(v_s____) & $i(v_w____) & $i(tc_RealDef_Oreal) & $i(tc_Complex_Ocomplex) &
% 274.94/41.70 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 274.94/41.70 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v1 &
% 274.94/41.70 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 274.94/41.70 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v2 & $i(v3) & $i(v2) &
% 274.94/41.70 $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) &
% 274.94/41.70 ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v2, v4) = v5) | ~ $i(v4) | ? [v6: $i]
% 274.94/41.70 : ? [v7: $i] : ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5)
% 274.94/41.70 = v7 & $i(v7) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 274.94/41.70 v7, v3)) | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4)
% 274.94/41.70 = v6 & $i(v6) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 274.94/41.70 v6, v1)))))
% 274.94/41.70
% 274.94/41.70 (fact__096EX_Az_O_Apoly_A_IpCons_A1_A_Imonom_Aa_A_Ik_A_N_A1_J_J_J_Az_A_061_A0_096)
% 274.94/41.70 $i(v_a____) & $i(v_k____) & $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & ?
% 274.94/41.70 [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i]
% 274.94/41.70 : ? [v6: $i] : ? [v7: $i] : (c_Polynomial_Omonom(tc_Complex_Ocomplex,
% 274.94/41.70 v_a____, v2) = v3 & c_Polynomial_OpCons(tc_Complex_Ocomplex, v0, v3) = v4
% 274.94/41.70 & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, v1) = v2 &
% 274.94/41.70 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 &
% 274.94/41.70 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 274.94/41.70 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v6 &
% 274.94/41.70 c_Polynomial_Opoly(tc_Complex_Ocomplex, v4) = v5 & hAPP(v5, v7) = v6 &
% 274.94/41.70 $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 274.94/41.70
% 274.94/41.70 (fact__096_B_Bd2_O_A0_A_060_Ad2_A_061_061_062_AEX_Ae_0620_O_Ae_A_060_A1_A_G_Ae_A_060_Ad2_096)
% 274.94/41.70 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 274.94/41.70 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 274.94/41.70 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 274.94/41.70 [v2: $i] : ( ~ $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 274.94/41.70 v0, v2) | ? [v3: $i] : ($i(v3) &
% 274.94/41.70 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2) &
% 274.94/41.70 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v1) &
% 274.94/41.70 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3))))
% 274.94/41.70
% 274.94/41.70 (fact__096_B_Bthesis_O_A_I_B_Bm_O_A_091_124_A0_A_060_Am_059_AALL_Az_O_Acmod_Az_A_060_061_Acmod_Aw_A_N_N_062_Acmod_A_Ipoly_As_Az_J_A_060_061_Am_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096)
% 274.94/41.70 $i(v_s____) & $i(v_w____) & $i(tc_RealDef_Oreal) & $i(tc_Complex_Ocomplex) &
% 274.94/41.70 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 274.94/41.70 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v1 &
% 274.94/41.70 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 274.94/41.70 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v2 & $i(v3) & $i(v2) &
% 274.94/41.70 $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) &
% 274.94/41.70 ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v2, v4) = v5) | ~ $i(v4) | ? [v6: $i]
% 274.94/41.70 : ? [v7: $i] : ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5)
% 274.94/41.70 = v7 & $i(v7) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 274.94/41.70 v7, v3)) | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4)
% 274.94/41.70 = v6 & $i(v6) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 274.94/41.70 v6, v1)))))
% 274.94/41.70
% 274.94/41.70 (fact__096_B_Bthesis_O_A_I_B_Bt_O_A_091_124_A0_A_060_At_059_At_A_060_A1_059_At_A_060_Ainverse_A_Icmod_Aw_A_094_A_Ik_A_L_A1_J_A_K_Am_J_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096)
% 274.94/41.71 $i(v_m____) & $i(v_w____) & $i(tc_RealDef_Oreal) & $i(v_k____) &
% 274.94/41.71 $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] : ?
% 274.94/41.71 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i]
% 274.94/41.71 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] :
% 274.94/41.71 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v10) = v11 &
% 274.94/41.71 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v6) = v7 &
% 274.94/41.71 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v2 &
% 274.94/41.71 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v4 &
% 274.94/41.71 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v3 &
% 274.94/41.71 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 274.94/41.71 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v6 &
% 274.94/41.71 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & hAPP(v9, v_m____) = v10
% 274.94/41.71 & hAPP(v5, v7) = v8 & hAPP(v3, v4) = v5 & hAPP(v2, v8) = v9 & $i(v12) &
% 274.94/41.71 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 274.94/41.71 $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 274.94/41.71 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v11) &
% 274.94/41.71 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v1) &
% 274.94/41.71 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v12))
% 274.94/41.71
% 274.94/41.71 (fact__096_B_Bthesis_O_A_I_B_Bw_O_A1_A_L_Aw_A_094_Ak_A_K_Aa_A_061_A0_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096)
% 274.94/41.71 $i(v_a____) & $i(v_k____) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1:
% 274.94/41.71 $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 274.94/41.71 ? [v7: $i] : ? [v8: $i] : (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,
% 274.94/41.71 v0, v8) = v3 & c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 274.94/41.71 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 274.94/41.71 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 274.94/41.71 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v3 & hAPP(v7, v_a____) =
% 274.94/41.71 v8 & hAPP(v5, v_k____) = v6 & hAPP(v2, v4) = v5 & hAPP(v1, v6) = v7 & $i(v8)
% 274.94/41.71 & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 274.94/41.71
% 274.94/41.71 (fact__096cmod_A_I1_A_L_A_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Ia_A_L_Acomplex__of__real_At_A_K_Aw_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_J_A_061cmod_A_Icomplex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_A_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_096)
% 274.94/41.71 $i(v_a____) & $i(v_s____) & $i(v_w____) & $i(v_t____) & $i(tc_RealDef_Oreal) &
% 274.94/41.71 $i(v_k____) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 274.94/41.71 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 274.94/41.71 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 274.94/41.71 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 274.94/41.71 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 274.94/41.71 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] :
% 274.94/41.71 (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v17, v20) = v21 &
% 274.94/41.71 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v22, v25) = v26 &
% 274.94/41.71 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v14) = v15 &
% 274.94/41.71 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, v12) = v13 &
% 274.94/41.71 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 274.94/41.71 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v26) = v16 &
% 274.94/41.71 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v15) = v16 &
% 274.94/41.71 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v18 &
% 274.94/41.71 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 274.94/41.71 c_RealVector_Oof__real(tc_Complex_Ocomplex, v21) = v22 &
% 274.94/41.71 c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v3 &
% 274.94/41.71 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v17 &
% 274.94/41.71 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 274.94/41.71 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v10 & hAPP(v24, v11) =
% 274.94/41.71 v25 & hAPP(v19, v_k____) = v20 & hAPP(v18, v_t____) = v19 & hAPP(v10, v5) =
% 274.94/41.71 v11 & hAPP(v9, v11) = v12 & hAPP(v8, v13) = v14 & hAPP(v8, v5) = v23 &
% 274.94/41.71 hAPP(v6, v_k____) = v7 & hAPP(v4, v_w____) = v5 & hAPP(v2, v5) = v6 &
% 274.94/41.71 hAPP(v1, v23) = v24 & hAPP(v1, v7) = v8 & hAPP(v1, v5) = v9 & hAPP(v1, v3) =
% 274.94/41.71 v4 & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) &
% 274.94/41.71 $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) &
% 274.94/41.71 $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 274.94/41.71 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 274.94/41.71
% 274.94/41.71 (fact__096cmod_A_I_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_060_061_At_A_094_Ak_A_K_A_It_A_K_A_Icmod_Aw_A_094_A_Ik_A_L_A1_J_A_K_Am_J_J_096)
% 274.94/41.72 $i(v_m____) & $i(v_s____) & $i(v_w____) & $i(v_t____) & $i(tc_RealDef_Oreal) &
% 274.94/41.72 $i(v_k____) & $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ?
% 274.94/41.72 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i]
% 274.94/41.72 : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ?
% 274.94/41.72 [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ?
% 274.94/41.72 [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ?
% 274.94/41.72 [v22: $i] : ? [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ?
% 274.94/41.72 [v27: $i] : ? [v28: $i] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____,
% 274.94/41.72 v22) = v23 & c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v14 &
% 274.94/41.72 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v0 &
% 274.94/41.72 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v12) = v13 &
% 274.94/41.72 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v20 &
% 274.94/41.72 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v15 &
% 274.94/41.72 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v1 &
% 274.94/41.72 c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v2 &
% 274.94/41.72 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v22 &
% 274.94/41.72 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v10 & hAPP(v25, v_m____)
% 274.94/41.72 = v26 & hAPP(v21, v23) = v24 & hAPP(v19, v26) = v27 & hAPP(v18, v27) = v28 &
% 274.94/41.72 hAPP(v16, v_k____) = v17 & hAPP(v15, v20) = v21 & hAPP(v15, v_t____) = v16 &
% 274.94/41.72 hAPP(v14, v24) = v25 & hAPP(v14, v17) = v18 & hAPP(v14, v_t____) = v19 &
% 274.94/41.72 hAPP(v10, v4) = v11 & hAPP(v9, v11) = v12 & hAPP(v7, v4) = v8 & hAPP(v5,
% 274.94/41.72 v_k____) = v6 & hAPP(v3, v_w____) = v4 & hAPP(v1, v4) = v5 & hAPP(v0, v8)
% 274.94/41.72 = v9 & hAPP(v0, v6) = v7 & hAPP(v0, v2) = v3 & $i(v28) & $i(v27) & $i(v26) &
% 274.94/41.72 $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) &
% 274.94/41.72 $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 274.94/41.72 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 274.94/41.72 $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 274.94/41.72 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v13, v28))
% 274.94/41.72
% 274.94/41.72 (fact__096cmod_A_I_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_A_061t_A_094_Ak_A_K_A_It_A_K_A_Icmod_Aw_A_094_A_Ik_A_L_A1_J_A_K_Acmod_A_Ipoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_J_J_096)
% 274.94/41.72 $i(v_s____) & $i(v_w____) & $i(v_t____) & $i(tc_RealDef_Oreal) & $i(v_k____) &
% 274.94/41.72 $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] : ?
% 274.94/41.72 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i]
% 274.94/41.72 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 274.94/41.72 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 274.94/41.72 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 274.94/41.72 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ?
% 274.94/41.72 [v28: $i] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v22) = v23 &
% 274.94/41.72 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v14 &
% 274.94/41.72 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v0 &
% 274.94/41.72 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v12) = v13 &
% 274.94/41.72 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v11) = v26 &
% 274.94/41.72 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v20 &
% 274.94/41.72 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v15 &
% 274.94/41.72 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v1 &
% 274.94/41.72 c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v2 &
% 274.94/41.72 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v22 &
% 274.94/41.72 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v10 & hAPP(v25, v26) =
% 274.94/41.72 v27 & hAPP(v21, v23) = v24 & hAPP(v19, v27) = v28 & hAPP(v18, v28) = v13 &
% 274.94/41.72 hAPP(v16, v_k____) = v17 & hAPP(v15, v20) = v21 & hAPP(v15, v_t____) = v16 &
% 274.94/41.72 hAPP(v14, v24) = v25 & hAPP(v14, v17) = v18 & hAPP(v14, v_t____) = v19 &
% 274.94/41.72 hAPP(v10, v4) = v11 & hAPP(v9, v11) = v12 & hAPP(v7, v4) = v8 & hAPP(v5,
% 274.94/41.72 v_k____) = v6 & hAPP(v3, v_w____) = v4 & hAPP(v1, v4) = v5 & hAPP(v0, v8)
% 274.94/41.72 = v9 & hAPP(v0, v6) = v7 & hAPP(v0, v2) = v3 & $i(v28) & $i(v27) & $i(v26) &
% 274.94/41.72 $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) &
% 274.94/41.72 $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 274.94/41.72 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 274.94/41.72 $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 274.94/41.72
% 274.94/41.72 (fact__096cmod_A_Icomplex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_A_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_060_061_Acmod_A_Icomplex__of__real_A_I1_A_N_At_A_094_Ak_J_J_A_L_Acmod_A_I_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_096)
% 274.94/41.72 $i(v_s____) & $i(v_w____) & $i(v_t____) & $i(tc_RealDef_Oreal) & $i(v_k____) &
% 274.94/41.72 $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 274.94/41.72 $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 274.94/41.72 ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ?
% 274.94/41.72 [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 274.94/41.72 [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] :
% 274.94/41.73 (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v0, v3) = v4 &
% 274.94/41.73 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v21, v22) = v23 &
% 274.94/41.73 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v5, v18) = v19 &
% 274.94/41.73 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v6 &
% 274.94/41.73 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v19) = v20 &
% 274.94/41.73 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v18) = v22 &
% 274.94/41.73 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v21 &
% 274.94/41.73 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 &
% 274.94/41.73 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v7 &
% 274.94/41.73 c_RealVector_Oof__real(tc_Complex_Ocomplex, v4) = v5 &
% 274.94/41.73 c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v8 &
% 274.94/41.73 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 274.94/41.73 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v16 & hAPP(v16, v10) =
% 274.94/41.73 v17 & hAPP(v15, v17) = v18 & hAPP(v13, v10) = v14 & hAPP(v11, v_k____) = v12
% 274.94/41.73 & hAPP(v9, v_w____) = v10 & hAPP(v7, v10) = v11 & hAPP(v6, v14) = v15 &
% 274.94/41.73 hAPP(v6, v12) = v13 & hAPP(v6, v8) = v9 & hAPP(v2, v_k____) = v3 & hAPP(v1,
% 274.94/41.73 v_t____) = v2 & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18)
% 274.94/41.73 & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) &
% 274.94/41.73 $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 274.94/41.73 $i(v2) & $i(v1) & $i(v0) &
% 274.94/41.73 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v20, v23))
% 274.94/41.73
% 274.94/41.73 (fact__096poly_Aq_A0_A_061_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A0_A_K_Apoly_Aq_A0_096)
% 274.94/41.73 $i(v_q____) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 274.94/41.73 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 274.94/41.73 ? [v8: $i] : (c_Polynomial_Osmult(tc_Complex_Ocomplex, v4, v_q____) = v5 &
% 274.94/41.73 c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v2) = v4 &
% 274.94/41.73 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v3 &
% 274.94/41.73 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 &
% 274.94/41.73 c_Polynomial_Opoly(tc_Complex_Ocomplex, v5) = v6 &
% 274.94/41.73 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 & hAPP(v8, v2) = v2 &
% 274.94/41.73 hAPP(v6, v1) = v7 & hAPP(v3, v7) = v8 & hAPP(v0, v1) = v2 & $i(v8) & $i(v7)
% 274.94/41.73 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 274.94/41.73
% 274.94/41.73 (fact__096t_A_K_A_Icmod_Aw_A_094_A_Ik_A_L_A1_J_A_K_Am_J_A_060_A1_096)
% 274.94/41.73 $i(v_m____) & $i(v_w____) & $i(v_t____) & $i(tc_RealDef_Oreal) & $i(v_k____) &
% 274.94/41.73 $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] : ?
% 274.94/41.73 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i]
% 274.94/41.73 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] :
% 274.94/41.73 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v5) = v6 &
% 274.94/41.73 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 274.94/41.73 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v3 &
% 274.94/41.73 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v2 &
% 274.94/41.73 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v11 &
% 274.94/41.73 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v5 & hAPP(v8, v_m____) = v9 &
% 274.94/41.73 hAPP(v4, v6) = v7 & hAPP(v2, v3) = v4 & hAPP(v1, v9) = v10 & hAPP(v0, v7) =
% 274.94/41.73 v8 & hAPP(v0, v_t____) = v1 & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 274.94/41.73 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 274.94/41.73 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v11))
% 274.94/41.73
% 274.94/41.73 (fact__096t_A_K_Acmod_Aw_A_060_061_A1_A_K_Acmod_Aw_096)
% 274.94/41.73 $i(v_w____) & $i(v_t____) & $i(tc_RealDef_Oreal) & $i(tc_Complex_Ocomplex) &
% 274.94/41.73 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 274.94/41.73 $i] : ? [v6: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 274.94/41.73 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v2 &
% 274.94/41.73 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v4 & hAPP(v5, v2) = v6 &
% 274.94/41.73 hAPP(v1, v2) = v3 & hAPP(v0, v4) = v5 & hAPP(v0, v_t____) = v1 & $i(v6) &
% 274.94/41.73 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 274.94/41.73 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v6))
% 274.94/41.73
% 274.94/41.73 (fact_abs__add__one__gt__zero)
% 274.94/41.73 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 274.94/41.73 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 274.94/41.73 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 274.94/41.73 [v2: $i] : ! [v3: $i] : ( ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,
% 274.94/41.73 v2) = v3) | ~ $i(v2) | ? [v4: $i] :
% 274.94/41.73 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v3) = v4 & $i(v4) &
% 274.94/41.73 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4))))
% 274.94/41.73
% 274.94/41.73 (fact_abs__add__one__not__less__self)
% 274.94/41.73 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 274.94/41.73 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 274.94/41.73 [v2: $i] : ( ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v2) | ~
% 274.94/41.73 $i(v1) | ? [v3: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2,
% 274.94/41.73 v0) = v3 & $i(v3) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 274.94/41.73 v3, v1))))
% 274.94/41.73
% 274.94/41.73 (fact_ath)
% 274.94/41.73 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 274.94/41.73 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 274.94/41.73 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 274.94/41.73 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 274.94/41.73 (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v4) = v5) | ~
% 274.94/41.73 (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v1, v2) = v4) | ~
% 274.94/41.73 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v3) = v6) | ~ $i(v3) |
% 274.94/41.73 ~ $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1)
% 274.94/41.73 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) | ~
% 274.94/41.73 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2) |
% 274.94/41.73 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v1)))
% 274.94/41.73
% 274.94/41.73 (fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J)
% 274.94/41.74 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 274.94/41.74 $i] : (v5 = v0 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~
% 274.94/41.74 (c_Groups_Oone__class_Oone(v1) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2,
% 274.94/41.74 v0) = v3) | ~ $i(v1) | ~ $i(v0) | ~
% 274.94/41.74 class_Rings_Ocomm__semiring__1(v1))
% 274.94/41.74
% 274.94/41.74 (fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J)
% 274.94/41.74 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 274.94/41.74 $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 274.94/41.74 (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v3, v1) = v4) | ~
% 274.94/41.74 $i(v2) | ~ $i(v1) | ~ class_Rings_Ocomm__semiring__1(v2) | hAPP(v4, v0)
% 274.94/41.74 = v1))
% 274.94/41.74
% 274.94/41.74 (fact_complex__i__mult__minus)
% 274.94/41.74 $i(c_Complex_Oii) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] :
% 274.94/41.74 (c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v0 & hAPP(v0,
% 274.94/41.74 c_Complex_Oii) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~
% 274.94/41.74 (hAPP(v1, v2) = v3) | ~ $i(v2) | ? [v4: $i] :
% 274.94/41.74 (c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v2) = v4 & hAPP(v1,
% 274.94/41.74 v3) = v4 & $i(v4))))
% 274.94/41.74
% 274.94/41.74 (fact_complex__of__real__minus__one)
% 274.94/41.74 $i(tc_RealDef_Oreal) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] :
% 274.94/41.74 ? [v2: $i] : ? [v3: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 274.94/41.74 v0) = v1 & c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v3) = v2 &
% 274.94/41.74 c_RealVector_Oof__real(tc_Complex_Ocomplex, v1) = v2 &
% 274.94/41.74 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 274.94/41.74 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v3 & $i(v3) & $i(v2) &
% 274.94/41.74 $i(v1) & $i(v0))
% 274.94/41.74
% 274.94/41.74 (fact_complex__of__real__power)
% 274.94/41.74 $i(tc_RealDef_Oreal) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] :
% 274.94/41.74 (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 &
% 274.94/41.74 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v0 & $i(v1) & $i(v0) &
% 274.94/41.74 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 274.94/41.74 (c_RealVector_Oof__real(tc_Complex_Ocomplex, v3) = v4) | ~ (hAPP(v5, v2)
% 274.94/41.74 = v6) | ~ (hAPP(v0, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ? [v7: $i] :
% 274.94/41.74 ? [v8: $i] : (c_RealVector_Oof__real(tc_Complex_Ocomplex, v8) = v6 &
% 274.94/41.74 hAPP(v7, v2) = v8 & hAPP(v1, v3) = v7 & $i(v8) & $i(v7) & $i(v6))))
% 274.94/41.74
% 274.94/41.74 (fact_ge__natfloor__plus__one__imp__gt)
% 274.94/41.74 $i(tc_RealDef_Oreal) & $i(tc_Nat_Onat) & ? [v0: $i] :
% 274.94/41.74 (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v0) & ! [v1: $i] : ! [v2:
% 274.94/41.74 $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) =
% 274.94/41.74 v4) | ~ (c_RComplete_Onatfloor(v2) = v3) | ~ $i(v2) | ~ $i(v1) |
% 274.94/41.74 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v4) | ? [v5: $i] :
% 274.94/41.74 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v0) = v5 & $i(v5) & ~
% 274.94/41.74 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v1))))
% 274.94/41.74
% 274.94/41.74 (fact_inv0)
% 274.94/41.74 $i(v_m____) & $i(v_w____) & $i(tc_RealDef_Oreal) & $i(v_k____) &
% 274.94/41.74 $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] : ?
% 274.94/41.74 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i]
% 274.94/41.74 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] :
% 274.94/41.74 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v9) = v10 &
% 274.94/41.74 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v5) = v6 &
% 274.94/41.74 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 274.94/41.74 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v3 &
% 274.94/41.74 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v2 &
% 274.94/41.74 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v5 &
% 274.94/41.74 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & hAPP(v8, v_m____) = v9
% 274.94/41.74 & hAPP(v4, v6) = v7 & hAPP(v2, v3) = v4 & hAPP(v1, v7) = v8 & $i(v10) &
% 274.94/41.74 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 274.94/41.74 $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v10))
% 274.94/41.74
% 274.94/41.74 (fact_k1n)
% 274.94/41.74 $i(v_pa____) & $i(v_k____) & $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & ?
% 274.94/41.74 [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 274.94/41.74 (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 274.94/41.74 v_pa____) = v2 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v0) =
% 274.94/41.74 v1 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v2) & $i(v1) & $i(v0)
% 274.94/41.74 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2))
% 274.94/41.74
% 274.94/41.74 (fact_kas_I3_J)
% 274.94/41.75 $i(v_q____) & $i(v_s____) & $i(v_k____) & $i(tc_Nat_Onat) &
% 274.94/41.75 $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 274.94/41.75 $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 274.94/41.75 (c_Polynomial_Osmult(tc_Complex_Ocomplex, v7, v_q____) = v8 &
% 274.94/41.75 c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v6) = v7 &
% 274.94/41.75 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v8) =
% 274.94/41.75 v3 & c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 274.94/41.75 v_s____) = v0 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v2) = v3 &
% 274.94/41.75 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v_k____) = v1 &
% 274.94/41.75 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 &
% 274.94/41.75 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v5 &
% 274.94/41.75 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v4 & hAPP(v4, v5) = v6 &
% 274.94/41.75 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 274.94/41.75 $i(v0))
% 274.94/41.75
% 274.94/41.75 (fact_kas_I4_J)
% 274.94/41.75 $i(v_q____) & $i(v_a____) & $i(v_s____) & $i(v_k____) &
% 274.94/41.75 $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 274.94/41.75 $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 274.94/41.75 ? [v9: $i] : ? [v10: $i] : (c_Polynomial_OpCons(tc_Complex_Ocomplex, v_a____,
% 274.94/41.75 v_s____) = v9 & c_Polynomial_Osmult(tc_Complex_Ocomplex, v3, v_q____) = v4
% 274.94/41.75 & c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v2) = v3 &
% 274.94/41.75 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v7 &
% 274.94/41.75 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v8 &
% 274.94/41.75 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 &
% 274.94/41.75 c_Polynomial_Opoly(tc_Complex_Ocomplex, v9) = v10 &
% 274.94/41.75 c_Polynomial_Opoly(tc_Complex_Ocomplex, v4) = v5 &
% 274.94/41.75 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 & hAPP(v5, v1) = v6 &
% 274.94/41.75 hAPP(v0, v1) = v2 & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 274.94/41.75 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v11: $i] : ! [v12: $i] :
% 274.94/41.75 ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : ! [v16: $i] : ( ~ (hAPP(v14,
% 274.94/41.75 v15) = v16) | ~ (hAPP(v12, v_k____) = v13) | ~ (hAPP(v10, v11) =
% 274.94/41.75 v15) | ~ (hAPP(v8, v11) = v12) | ~ (hAPP(v7, v13) = v14) | ~ $i(v11)
% 274.94/41.75 | ? [v17: $i] : (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v6,
% 274.94/41.75 v16) = v17 & hAPP(v5, v11) = v17 & $i(v17))))
% 274.94/41.75
% 274.94/41.75 (fact_kn)
% 274.94/41.75 $i(v_pa____) & $i(v_k____) & $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & ?
% 274.94/41.75 [v0: $i] : ? [v1: $i] : ? [v2: $i] : ( ~ (v2 = v0) &
% 274.94/41.75 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 274.94/41.75 v_pa____) = v0 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v1) =
% 274.94/41.75 v2 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v2) & $i(v1) & $i(v0))
% 274.94/41.75
% 274.94/41.75 (fact_le__mult__natfloor)
% 274.94/41.75 $i(tc_RealDef_Oreal) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 274.94/41.75 $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v2 &
% 274.94/41.75 c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 &
% 274.94/41.75 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v2) & $i(v1) &
% 274.94/41.75 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 274.94/41.75 : ! [v8: $i] : ( ~ (c_RComplete_Onatfloor(v4) = v5) | ~
% 274.94/41.75 (c_RComplete_Onatfloor(v3) = v7) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v1,
% 274.94/41.75 v5) = v6) | ~ $i(v4) | ~ $i(v3) | ~
% 274.94/41.75 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v4) | ~
% 274.94/41.75 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) | ? [v9: $i]
% 274.94/41.75 : ? [v10: $i] : ? [v11: $i] : (c_RComplete_Onatfloor(v10) = v11 &
% 274.94/41.75 hAPP(v9, v3) = v10 & hAPP(v2, v4) = v9 & $i(v11) & $i(v10) & $i(v9) &
% 274.94/41.75 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v8, v11))))
% 274.94/41.75
% 274.94/41.75 (fact_le__natfloor__eq__one)
% 274.94/41.75 $i(tc_RealDef_Oreal) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 274.94/41.75 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 274.94/41.75 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) & ! [v2: $i]
% 274.94/41.75 : ! [v3: $i] : ( ~ (c_RComplete_Onatfloor(v2) = v3) | ~ $i(v2) | ~
% 274.94/41.75 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v2) |
% 274.94/41.75 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v3)) & ! [v2: $i] : !
% 274.94/41.75 [v3: $i] : ( ~ (c_RComplete_Onatfloor(v2) = v3) | ~ $i(v2) | ~
% 274.94/41.75 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v3) |
% 274.94/41.75 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v2)))
% 274.94/41.75
% 274.94/41.75 (fact_lemmaCauchy)
% 275.41/41.76 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 275.41/41.76 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 275.41/41.76 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 275.41/41.76 (c_RealVector_Onorm__class_Onorm(v4, v5) = v6) | ~ (hAPP(v1, v2) = v5) |
% 275.41/41.76 ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ class_Orderings_Oord(v3)
% 275.41/41.76 | ~ class_RealVector_Oreal__normed__vector(v4) | ? [v7: $i] : ? [v8:
% 275.41/41.76 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ($i(v8) &
% 275.41/41.76 ((c_Groups_Ominus__class_Ominus(v4, v5, v9) = v10 &
% 275.41/41.76 c_RealVector_Onorm__class_Onorm(v4, v10) = v11 & hAPP(v1, v8) = v9 &
% 275.41/41.76 $i(v11) & $i(v10) & $i(v9) & c_Orderings_Oord__class_Oless__eq(v3,
% 275.41/41.76 v2, v8) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11,
% 275.41/41.76 v0)) | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v6) = v7
% 275.41/41.76 & $i(v7) & ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ( ~
% 275.41/41.76 (c_RealVector_Onorm__class_Onorm(v4, v13) = v14) | ~ (hAPP(v1,
% 275.41/41.76 v12) = v13) | ~ $i(v12) | ~
% 275.41/41.76 c_Orderings_Oord__class_Oless__eq(v3, v2, v12) |
% 275.41/41.76 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v14, v7)))))))
% 275.41/41.76
% 275.41/41.76 (fact_m_I2_J)
% 275.41/41.76 $i(v_m____) & $i(v_s____) & $i(v_w____) & $i(tc_RealDef_Oreal) &
% 275.41/41.76 $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.76 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v0 &
% 275.41/41.76 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v1 & $i(v1) & $i(v0) & !
% 275.41/41.76 [v2: $i] : ! [v3: $i] : ( ~ (hAPP(v1, v2) = v3) | ~ $i(v2) | ? [v4: $i] :
% 275.41/41.76 ? [v5: $i] : ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) =
% 275.41/41.76 v5 & $i(v5) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5,
% 275.41/41.76 v_m____)) | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 275.41/41.76 v2) = v4 & $i(v4) & ~
% 275.41/41.76 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v0)))))
% 275.41/41.76
% 275.41/41.76 (fact_mrmq__eq)
% 275.41/41.76 $i(v_q____) & $i(tc_RealDef_Oreal) & $i(tc_Complex_Ocomplex) & ? [v0: $i] :
% 275.41/41.76 ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6:
% 275.41/41.76 $i] : ? [v7: $i] : (c_Polynomial_Osmult(tc_Complex_Ocomplex, v3, v_q____) =
% 275.41/41.76 v4 & c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v2) = v3 &
% 275.41/41.76 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v7 &
% 275.41/41.76 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v6 &
% 275.41/41.76 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 &
% 275.41/41.76 c_Polynomial_Opoly(tc_Complex_Ocomplex, v4) = v5 &
% 275.41/41.76 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 & hAPP(v0, v1) = v2 &
% 275.41/41.76 $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & !
% 275.41/41.76 [v8: $i] : ! [v9: $i] : ( ~ (hAPP(v5, v8) = v9) | ~ $i(v8) | ? [v10: $i]
% 275.41/41.76 : ? [v11: $i] : ? [v12: $i] :
% 275.41/41.76 ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v11) = v12 &
% 275.41/41.76 hAPP(v0, v8) = v11 & $i(v12) & $i(v11) &
% 275.41/41.76 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v7)) |
% 275.41/41.76 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v9) = v10 &
% 275.41/41.76 $i(v10) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10,
% 275.41/41.76 v6)))) & ! [v8: $i] : ! [v9: $i] : ( ~ (hAPP(v5, v8) = v9) | ~
% 275.41/41.76 $i(v8) | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] :
% 275.41/41.76 ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v10) = v11 &
% 275.41/41.76 hAPP(v0, v8) = v10 & $i(v11) & $i(v10) & ~
% 275.41/41.76 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v7)) |
% 275.41/41.76 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v9) = v12 &
% 275.41/41.76 $i(v12) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v6)))))
% 275.41/41.76
% 275.41/41.76 (fact_mult_Opos__bounded)
% 275.41/41.76 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.76 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.76 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 275.41/41.76 [v2: $i] : ! [v3: $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~
% 275.41/41.76 $i(v2) | ~ class_RealVector_Oreal__normed__algebra(v2) | ? [v4: $i] :
% 275.41/41.76 ($i(v4) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) & !
% 275.41/41.76 [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : !
% 275.41/41.76 [v10: $i] : ! [v11: $i] : ! [v12: $i] : ( ~
% 275.41/41.76 (c_RealVector_Onorm__class_Onorm(v2, v6) = v9) | ~
% 275.41/41.76 (c_RealVector_Onorm__class_Onorm(v2, v5) = v7) | ~ (hAPP(v11, v4) =
% 275.41/41.76 v12) | ~ (hAPP(v8, v9) = v10) | ~ (hAPP(v1, v10) = v11) | ~
% 275.41/41.76 (hAPP(v1, v7) = v8) | ~ $i(v6) | ~ $i(v5) | ? [v13: $i] : ? [v14:
% 275.41/41.76 $i] : ? [v15: $i] : (c_RealVector_Onorm__class_Onorm(v2, v14) = v15
% 275.41/41.76 & hAPP(v13, v6) = v14 & hAPP(v3, v5) = v13 & $i(v15) & $i(v14) &
% 275.41/41.76 $i(v13) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v15,
% 275.41/41.76 v12))))))
% 275.41/41.76
% 275.41/41.76 (fact_mult__eq__if)
% 275.41/41.77 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 275.41/41.77 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 &
% 275.41/41.77 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 &
% 275.41/41.77 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v2) & $i(v1) & $i(v0) &
% 275.41/41.77 ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8:
% 275.41/41.77 $i] : (v4 = v0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v4, v2) =
% 275.41/41.77 v5) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v7) = v8) | ~
% 275.41/41.77 (hAPP(v6, v3) = v7) | ~ (hAPP(v1, v5) = v6) | ~ $i(v4) | ~ $i(v3) | ?
% 275.41/41.77 [v9: $i] : (hAPP(v9, v3) = v8 & hAPP(v1, v4) = v9 & $i(v9) & $i(v8))) & !
% 275.41/41.77 [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v0 | ~ (hAPP(v4, v3) = v5) |
% 275.41/41.77 ~ (hAPP(v1, v0) = v4) | ~ $i(v3)))
% 275.41/41.77
% 275.41/41.77 (fact_mult__eq__self__implies__10)
% 275.41/41.77 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 275.41/41.77 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 275.41/41.77 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 &
% 275.41/41.77 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v2 & $i(v2) & $i(v1) & $i(v0) &
% 275.41/41.77 ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v4 = v2 | v3 = v1 | ~ (hAPP(v5,
% 275.41/41.77 v3) = v4) | ~ (hAPP(v0, v4) = v5) | ~ $i(v4) | ~ $i(v3)))
% 275.41/41.77
% 275.41/41.77 (fact_mult__left_Opos__bounded)
% 275.41/41.77 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.77 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.77 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & ?
% 275.41/41.77 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 275.41/41.77 (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~
% 275.41/41.77 class_RealVector_Oreal__normed__algebra(v3) | ? [v5: $i] : ($i(v5) &
% 275.41/41.77 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5) & ! [v6: $i] :
% 275.41/41.77 ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 275.41/41.77 (c_RealVector_Onorm__class_Onorm(v3, v6) = v7) | ~ (hAPP(v8, v5) =
% 275.41/41.77 v9) | ~ (hAPP(v1, v7) = v8) | ~ $i(v6) | ? [v10: $i] : ? [v11:
% 275.41/41.77 $i] : ? [v12: $i] : (c_RealVector_Onorm__class_Onorm(v3, v11) = v12
% 275.41/41.77 & hAPP(v10, v2) = v11 & hAPP(v4, v6) = v10 & $i(v12) & $i(v11) &
% 275.41/41.77 $i(v10) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v12,
% 275.41/41.77 v9))))))
% 275.41/41.77
% 275.41/41.77 (fact_mult__right_Opos__bounded)
% 275.41/41.77 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.77 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.77 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 275.41/41.77 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 275.41/41.77 (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v4, v2) = v5) | ~
% 275.41/41.77 $i(v3) | ~ $i(v2) | ~ class_RealVector_Oreal__normed__algebra(v3) | ?
% 275.41/41.77 [v6: $i] : ($i(v6) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 275.41/41.77 v6) & ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 275.41/41.77 (c_RealVector_Onorm__class_Onorm(v3, v7) = v8) | ~ (hAPP(v9, v6) =
% 275.41/41.77 v10) | ~ (hAPP(v1, v8) = v9) | ~ $i(v7) | ? [v11: $i] : ? [v12:
% 275.41/41.77 $i] : (c_RealVector_Onorm__class_Onorm(v3, v11) = v12 & hAPP(v5, v7)
% 275.41/41.77 = v11 & $i(v12) & $i(v11) &
% 275.41/41.77 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v12, v10))))))
% 275.41/41.77
% 275.41/41.77 (fact_nat__1__eq__mult__iff)
% 275.41/41.77 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.77 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 &
% 275.41/41.77 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) & ! [v2: $i]
% 275.41/41.77 : ! [v3: $i] : ! [v4: $i] : (v3 = v0 | ~ (hAPP(v4, v2) = v0) | ~
% 275.41/41.77 (hAPP(v1, v3) = v4) | ~ $i(v3) | ~ $i(v2)) & ! [v2: $i] : ! [v3: $i] :
% 275.41/41.77 ! [v4: $i] : (v2 = v0 | ~ (hAPP(v4, v2) = v0) | ~ (hAPP(v1, v3) = v4) |
% 275.41/41.77 ~ $i(v3) | ~ $i(v2)) & ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 275.41/41.77 (hAPP(v2, v0) = v3) | ~ (hAPP(v1, v0) = v2)))
% 275.41/41.77
% 275.41/41.77 (fact_nat__le__real__less)
% 275.41/41.77 $i(tc_RealDef_Oreal) & $i(tc_Nat_Onat) & ? [v0: $i] :
% 275.41/41.77 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 275.41/41.77 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v2)
% 275.41/41.77 = v3) | ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v4) | ~ $i(v2) | ~
% 275.41/41.77 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ?
% 275.41/41.77 [v5: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v0) = v5 &
% 275.41/41.77 $i(v5) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v5))) & !
% 275.41/41.77 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 275.41/41.77 (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~ (c_RealDef_Oreal(tc_Nat_Onat,
% 275.41/41.77 v1) = v4) | ~ $i(v2) | ~ $i(v1) |
% 275.41/41.77 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ? [v5: $i] :
% 275.41/41.77 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v0) = v5 & $i(v5) & ~
% 275.41/41.77 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v5))))
% 275.41/41.77
% 275.41/41.77 (fact_nat__less__real__le)
% 275.41/41.78 $i(tc_RealDef_Oreal) & $i(tc_Nat_Onat) & ? [v0: $i] :
% 275.41/41.78 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 275.41/41.78 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v2)
% 275.41/41.78 = v3) | ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v4) | ~ $i(v2) | ~
% 275.41/41.78 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ? [v5:
% 275.41/41.78 $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v0) = v5 &
% 275.41/41.78 $i(v5) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v4))) &
% 275.41/41.78 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 275.41/41.78 (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~ (c_RealDef_Oreal(tc_Nat_Onat,
% 275.41/41.78 v1) = v4) | ~ $i(v2) | ~ $i(v1) |
% 275.41/41.78 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ? [v5: $i] :
% 275.41/41.78 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v0) = v5 & $i(v5) & ~
% 275.41/41.78 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v4))))
% 275.41/41.78
% 275.41/41.78 (fact_nat__mult__1)
% 275.41/41.78 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 275.41/41.78 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 275.41/41.78 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & hAPP(v0, v1) = v2 & $i(v2) &
% 275.41/41.78 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : (v4 = v3 | ~ (hAPP(v2, v3) =
% 275.41/41.78 v4) | ~ $i(v3)))
% 275.41/41.78
% 275.41/41.78 (fact_nat__mult__1__right)
% 275.41/41.78 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.78 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 275.41/41.78 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & ! [v2: $i]
% 275.41/41.78 : ! [v3: $i] : ( ~ (hAPP(v0, v2) = v3) | ~ $i(v2) | hAPP(v3, v1) = v2))
% 275.41/41.78
% 275.41/41.78 (fact_nat__mult__eq__1__iff)
% 275.41/41.78 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.78 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 275.41/41.78 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & ! [v2: $i]
% 275.41/41.78 : ! [v3: $i] : ! [v4: $i] : (v3 = v1 | ~ (hAPP(v4, v2) = v1) | ~
% 275.41/41.78 (hAPP(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2)) & ! [v2: $i] : ! [v3: $i] :
% 275.41/41.78 ! [v4: $i] : (v2 = v1 | ~ (hAPP(v4, v2) = v1) | ~ (hAPP(v0, v3) = v4) |
% 275.41/41.78 ~ $i(v3) | ~ $i(v2)) & ! [v2: $i] : ! [v3: $i] : (v3 = v1 | ~
% 275.41/41.78 (hAPP(v2, v1) = v3) | ~ (hAPP(v0, v1) = v2)))
% 275.41/41.78
% 275.41/41.78 (fact_natceiling__add__one)
% 275.41/41.78 $i(tc_RealDef_Oreal) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 275.41/41.78 $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 275.41/41.78 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 &
% 275.41/41.78 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v2) & $i(v1) &
% 275.41/41.78 $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 275.41/41.78 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v1) = v4) | ~ $i(v3) |
% 275.41/41.78 ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) | ? [v5:
% 275.41/41.78 $i] : ? [v6: $i] : (c_RComplete_Onatceiling(v4) = v5 &
% 275.41/41.78 c_RComplete_Onatceiling(v3) = v6 &
% 275.41/41.78 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v6, v2) = v5 & $i(v6) &
% 275.41/41.78 $i(v5))))
% 275.41/41.78
% 275.41/41.78 (fact_natceiling__eq)
% 275.41/41.78 $i(tc_RealDef_Oreal) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.78 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 275.41/41.78 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & ! [v2: $i]
% 275.41/41.78 : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v4 | ~
% 275.41/41.78 (c_RComplete_Onatceiling(v2) = v4) | ~
% 275.41/41.78 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v1) = v5) | ~ $i(v3) | ~
% 275.41/41.78 $i(v2) | ? [v6: $i] : ? [v7: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v3) =
% 275.41/41.78 v6 & $i(v6) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6,
% 275.41/41.78 v2) | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v0) = v7 &
% 275.41/41.78 $i(v7) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 275.41/41.78 v7))))))
% 275.41/41.78
% 275.41/41.78 (fact_natceiling__le__eq__one)
% 275.41/41.78 $i(tc_RealDef_Oreal) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.78 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 275.41/41.78 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) & ! [v2: $i]
% 275.41/41.78 : ! [v3: $i] : ( ~ (c_RComplete_Onatceiling(v2) = v3) | ~ $i(v2) | ~
% 275.41/41.78 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1) |
% 275.41/41.78 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v0)) & ! [v2: $i] : !
% 275.41/41.78 [v3: $i] : ( ~ (c_RComplete_Onatceiling(v2) = v3) | ~ $i(v2) | ~
% 275.41/41.78 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v0) |
% 275.41/41.78 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1)))
% 275.41/41.78
% 275.41/41.78 (fact_natceiling__one)
% 275.41/41.78 $i(tc_RealDef_Oreal) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.78 (c_RComplete_Onatceiling(v0) = v1 &
% 275.41/41.78 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 275.41/41.78 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0))
% 275.41/41.78
% 275.41/41.78 (fact_natfloor__add__one)
% 275.41/41.79 $i(tc_RealDef_Oreal) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 275.41/41.79 $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 275.41/41.79 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 &
% 275.41/41.79 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v2) & $i(v1) &
% 275.41/41.79 $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 275.41/41.79 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v1) = v4) | ~ $i(v3) |
% 275.41/41.79 ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) | ? [v5:
% 275.41/41.79 $i] : ? [v6: $i] : (c_RComplete_Onatfloor(v4) = v5 &
% 275.41/41.79 c_RComplete_Onatfloor(v3) = v6 &
% 275.41/41.79 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v6, v2) = v5 & $i(v6) &
% 275.41/41.79 $i(v5))))
% 275.41/41.79
% 275.41/41.79 (fact_natfloor__eq)
% 275.41/41.79 $i(tc_RealDef_Oreal) & $i(tc_Nat_Onat) & ? [v0: $i] :
% 275.41/41.79 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 275.41/41.79 [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v2 | ~
% 275.41/41.79 (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~ (c_RComplete_Onatfloor(v1) =
% 275.41/41.79 v4) | ~ $i(v2) | ~ $i(v1) | ~
% 275.41/41.79 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v1) | ? [v5: $i]
% 275.41/41.79 : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v0) = v5 & $i(v5) &
% 275.41/41.79 ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v5))))
% 275.41/41.79
% 275.41/41.79 (fact_natfloor__one)
% 275.41/41.79 $i(tc_RealDef_Oreal) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.79 (c_RComplete_Onatfloor(v0) = v1 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 275.41/41.79 = v0 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0))
% 275.41/41.79
% 275.41/41.79 (fact_natfloor__power)
% 275.41/41.79 $i(tc_RealDef_Oreal) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.79 (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 275.41/41.79 c_Power_Opower__class_Opower(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & ! [v2:
% 275.41/41.79 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 275.41/41.79 (c_RComplete_Onatfloor(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v1,
% 275.41/41.79 v4) = v5) | ~ $i(v3) | ~ $i(v2) | ? [v7: $i] : ? [v8: $i] : ?
% 275.41/41.79 [v9: $i] : ? [v10: $i] : ((v10 = v6 & c_RComplete_Onatfloor(v9) = v6 &
% 275.41/41.79 hAPP(v8, v2) = v9 & hAPP(v0, v3) = v8 & $i(v9) & $i(v8) & $i(v6)) | (
% 275.41/41.79 ~ (v7 = v3) & c_RealDef_Oreal(tc_Nat_Onat, v4) = v7 & $i(v7)))))
% 275.41/41.79
% 275.41/41.79 (fact_norm__mult)
% 275.41/41.79 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 275.41/41.79 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 275.41/41.79 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 275.41/41.79 [v7: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v3, v2) = v4) | ~
% 275.41/41.79 (c_RealVector_Onorm__class_Onorm(v3, v1) = v6) | ~ (hAPP(v5, v6) = v7) |
% 275.41/41.79 ~ (hAPP(v0, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 275.41/41.79 class_RealVector_Oreal__normed__div__algebra(v3) | ? [v8: $i] : ? [v9:
% 275.41/41.79 $i] : ? [v10: $i] : (c_Groups_Otimes__class_Otimes(v3) = v8 &
% 275.41/41.79 c_RealVector_Onorm__class_Onorm(v3, v10) = v7 & hAPP(v9, v1) = v10 &
% 275.41/41.79 hAPP(v8, v2) = v9 & $i(v10) & $i(v9) & $i(v8) & $i(v7))))
% 275.41/41.79
% 275.41/41.79 (fact_norm__mult__ineq)
% 275.41/41.79 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 275.41/41.79 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 275.41/41.79 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 275.41/41.79 [v7: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v3, v2) = v4) | ~
% 275.41/41.79 (c_RealVector_Onorm__class_Onorm(v3, v1) = v6) | ~ (hAPP(v5, v6) = v7) |
% 275.41/41.79 ~ (hAPP(v0, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 275.41/41.79 class_RealVector_Oreal__normed__algebra(v3) | ? [v8: $i] : ? [v9: $i] :
% 275.41/41.79 ? [v10: $i] : ? [v11: $i] : (c_Groups_Otimes__class_Otimes(v3) = v8 &
% 275.41/41.79 c_RealVector_Onorm__class_Onorm(v3, v10) = v11 & hAPP(v9, v1) = v10 &
% 275.41/41.79 hAPP(v8, v2) = v9 & $i(v11) & $i(v10) & $i(v9) & $i(v8) &
% 275.41/41.79 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v11, v7))))
% 275.41/41.79
% 275.41/41.79 (fact_norm__mult__less)
% 275.41/41.80 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 275.41/41.80 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 275.41/41.80 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 275.41/41.80 [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 275.41/41.80 (c_Groups_Otimes__class_Otimes(v5) = v6) | ~
% 275.41/41.80 (c_RealVector_Onorm__class_Onorm(v5, v8) = v9) | ~ (hAPP(v10, v1) = v11)
% 275.41/41.80 | ~ (hAPP(v7, v2) = v8) | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(v0, v3) =
% 275.41/41.80 v10) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 275.41/41.80 class_RealVector_Oreal__normed__algebra(v5) |
% 275.41/41.80 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v11) | ? [v12: $i] :
% 275.41/41.80 ? [v13: $i] : ((c_RealVector_Onorm__class_Onorm(v5, v4) = v12 & $i(v12) &
% 275.41/41.80 ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v3)) |
% 275.41/41.80 (c_RealVector_Onorm__class_Onorm(v5, v2) = v13 & $i(v13) & ~
% 275.41/41.80 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v1)))))
% 275.41/41.80
% 275.41/41.80 (fact_norm__one)
% 275.41/41.80 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 275.41/41.80 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 275.41/41.80 [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ (c_RealVector_Onorm__class_Onorm(v1,
% 275.41/41.80 v2) = v3) | ~ (c_Groups_Oone__class_Oone(v1) = v2) | ~ $i(v1) | ~
% 275.41/41.80 class_RealVector_Oreal__normed__algebra__1(v1)))
% 275.41/41.80
% 275.41/41.80 (fact_norm__power)
% 275.41/41.80 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 275.41/41.80 (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 275.41/41.80 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 275.41/41.80 (c_RealVector_Onorm__class_Onorm(v3, v2) = v4) | ~ (hAPP(v5, v1) = v6) |
% 275.41/41.80 ~ (hAPP(v0, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 275.41/41.80 class_RealVector_Oreal__normed__div__algebra(v3) | ? [v7: $i] : ? [v8:
% 275.41/41.80 $i] : ? [v9: $i] : (c_RealVector_Onorm__class_Onorm(v3, v9) = v6 &
% 275.41/41.80 c_Power_Opower__class_Opower(v3) = v7 & hAPP(v8, v1) = v9 & hAPP(v7, v2)
% 275.41/41.80 = v8 & $i(v9) & $i(v8) & $i(v7) & $i(v6))))
% 275.41/41.80
% 275.41/41.80 (fact_norm__power__ineq)
% 275.41/41.80 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 275.41/41.80 (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 275.41/41.80 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 275.41/41.80 (c_RealVector_Onorm__class_Onorm(v3, v2) = v4) | ~ (hAPP(v5, v1) = v6) |
% 275.41/41.80 ~ (hAPP(v0, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 275.41/41.80 class_RealVector_Oreal__normed__algebra__1(v3) | ? [v7: $i] : ? [v8: $i]
% 275.41/41.80 : ? [v9: $i] : ? [v10: $i] : (c_RealVector_Onorm__class_Onorm(v3, v9) =
% 275.41/41.80 v10 & c_Power_Opower__class_Opower(v3) = v7 & hAPP(v8, v1) = v9 &
% 275.41/41.80 hAPP(v7, v2) = v8 & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 275.41/41.80 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v6))))
% 275.41/41.80
% 275.41/41.80 (fact_norm__ratiotest__lemma)
% 275.41/41.80 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.80 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.80 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 275.41/41.80 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 275.41/41.80 $i] : ! [v8: $i] : ! [v9: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v5,
% 275.41/41.80 v3) = v6) | ~ (c_RealVector_Onorm__class_Onorm(v5, v2) = v8) | ~
% 275.41/41.80 (hAPP(v7, v8) = v9) | ~ (hAPP(v1, v4) = v7) | ~ $i(v5) | ~ $i(v4) | ~
% 275.41/41.80 $i(v3) | ~ $i(v2) | ~ class_RealVector_Oreal__normed__vector(v5) | ~
% 275.41/41.80 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v9) | ~
% 275.41/41.80 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v0) |
% 275.41/41.80 c_Groups_Ozero__class_Ozero(v5) = v3))
% 275.41/41.80
% 275.41/41.80 (fact_norm__sgn)
% 275.41/41.80 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.80 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 275.41/41.80 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 275.41/41.80 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 275.41/41.80 (c_Groups_Osgn__class_Osgn(v3, v2) = v4) | ~
% 275.41/41.80 (c_RealVector_Onorm__class_Onorm(v3, v4) = v5) | ~ $i(v3) | ~ $i(v2) |
% 275.41/41.80 ~ class_RealVector_Oreal__normed__vector(v3) | ? [v6: $i] : ((v5 = v1 |
% 275.41/41.80 (v6 = v2 & c_Groups_Ozero__class_Ozero(v3) = v2)) & (v5 = v0 | ( ~ (v6
% 275.41/41.80 = v2) & c_Groups_Ozero__class_Ozero(v3) = v6 & $i(v6))))))
% 275.41/41.80
% 275.41/41.80 (fact_not__real__square__gt__zero)
% 275.41/41.80 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.80 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.80 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 275.41/41.80 [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v2 = v0 | ~ (hAPP(v3, v2) = v4) |
% 275.41/41.80 ~ (hAPP(v1, v2) = v3) | ~ $i(v2) |
% 275.41/41.80 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4)) & ! [v2: $i] :
% 275.41/41.80 ! [v3: $i] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(v1, v0) = v2) | ~
% 275.41/41.80 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)))
% 275.41/41.80
% 275.41/41.80 (fact_of__real_Obounded)
% 275.41/41.80 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 275.41/41.81 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 275.41/41.81 ( ~ $i(v1) | ~ class_RealVector_Oreal__normed__vector(v1) | ~
% 275.41/41.81 class_RealVector_Oreal__algebra__1(v1) | ? [v2: $i] : ($i(v2) & ! [v3:
% 275.41/41.81 $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 275.41/41.81 (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, v3) = v4) | ~
% 275.41/41.81 (hAPP(v5, v2) = v6) | ~ (hAPP(v0, v4) = v5) | ~ $i(v3) | ? [v7: $i]
% 275.41/41.81 : ? [v8: $i] : (c_RealVector_Onorm__class_Onorm(v1, v7) = v8 &
% 275.41/41.81 c_RealVector_Oof__real(v1, v3) = v7 & $i(v8) & $i(v7) &
% 275.41/41.81 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v8, v6))))))
% 275.41/41.81
% 275.41/41.81 (fact_of__real_Ononneg__bounded)
% 275.41/41.81 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.81 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.81 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 275.41/41.81 [v2: $i] : ( ~ $i(v2) | ~ class_RealVector_Oreal__normed__vector(v2) | ~
% 275.41/41.81 class_RealVector_Oreal__algebra__1(v2) | ? [v3: $i] : ($i(v3) &
% 275.41/41.81 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) & ! [v4:
% 275.41/41.81 $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 275.41/41.81 (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, v4) = v5) | ~
% 275.41/41.81 (hAPP(v6, v3) = v7) | ~ (hAPP(v1, v5) = v6) | ~ $i(v4) | ? [v8: $i]
% 275.41/41.81 : ? [v9: $i] : (c_RealVector_Onorm__class_Onorm(v2, v8) = v9 &
% 275.41/41.81 c_RealVector_Oof__real(v2, v4) = v8 & $i(v9) & $i(v8) &
% 275.41/41.81 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9, v7))))))
% 275.41/41.81
% 275.41/41.81 (fact_of__real_Opos__bounded)
% 275.41/41.81 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.81 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.81 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 275.41/41.81 [v2: $i] : ( ~ $i(v2) | ~ class_RealVector_Oreal__normed__vector(v2) | ~
% 275.41/41.81 class_RealVector_Oreal__algebra__1(v2) | ? [v3: $i] : ($i(v3) &
% 275.41/41.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) & ! [v4: $i] :
% 275.41/41.81 ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 275.41/41.81 (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, v4) = v5) | ~
% 275.41/41.81 (hAPP(v6, v3) = v7) | ~ (hAPP(v1, v5) = v6) | ~ $i(v4) | ? [v8: $i]
% 275.41/41.81 : ? [v9: $i] : (c_RealVector_Onorm__class_Onorm(v2, v8) = v9 &
% 275.41/41.81 c_RealVector_Oof__real(v2, v4) = v8 & $i(v9) & $i(v8) &
% 275.41/41.81 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9, v7))))))
% 275.41/41.81
% 275.41/41.81 (fact_of__real__1)
% 275.41/41.81 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 275.41/41.81 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 275.41/41.81 [v2: $i] : ( ~ (c_RealVector_Oof__real(v1, v0) = v2) | ~ $i(v1) | ~
% 275.41/41.81 class_RealVector_Oreal__algebra__1(v1) | (c_Groups_Oone__class_Oone(v1) =
% 275.41/41.81 v2 & $i(v2))))
% 275.41/41.81
% 275.41/41.81 (fact_of__real__mult)
% 275.41/41.81 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 275.41/41.81 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 275.41/41.81 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 275.41/41.81 [v7: $i] : ! [v8: $i] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~
% 275.41/41.81 (c_RealVector_Oof__real(v3, v2) = v5) | ~ (c_RealVector_Oof__real(v3, v1)
% 275.41/41.81 = v7) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v4, v5) = v6) | ~ $i(v3) | ~
% 275.41/41.81 $i(v2) | ~ $i(v1) | ~ class_RealVector_Oreal__algebra__1(v3) | ? [v9:
% 275.41/41.81 $i] : ? [v10: $i] : (c_RealVector_Oof__real(v3, v10) = v8 & hAPP(v9,
% 275.41/41.81 v1) = v10 & hAPP(v0, v2) = v9 & $i(v10) & $i(v9) & $i(v8))))
% 275.41/41.81
% 275.41/41.81 (fact_of__real__power)
% 275.41/41.81 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 275.41/41.81 (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 275.41/41.81 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 275.41/41.81 (c_RealVector_Oof__real(v3, v5) = v6) | ~ (hAPP(v4, v1) = v5) | ~
% 275.41/41.81 (hAPP(v0, v2) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 275.41/41.81 class_RealVector_Oreal__algebra__1(v3) | ? [v7: $i] : ? [v8: $i] : ?
% 275.41/41.81 [v9: $i] : (c_Power_Opower__class_Opower(v3) = v7 &
% 275.41/41.81 c_RealVector_Oof__real(v3, v2) = v8 & hAPP(v9, v1) = v6 & hAPP(v7, v8) =
% 275.41/41.81 v9 & $i(v9) & $i(v8) & $i(v7) & $i(v6))))
% 275.41/41.81
% 275.41/41.81 (fact_power__eq__if)
% 275.41/41.81 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 275.41/41.81 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v3 &
% 275.41/41.81 c_Power_Opower__class_Opower(tc_Nat_Onat) = v1 &
% 275.41/41.81 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 &
% 275.41/41.81 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v3) & $i(v2) & $i(v1) &
% 275.41/41.81 $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i]
% 275.41/41.81 : ! [v9: $i] : ! [v10: $i] : (v5 = v0 | ~
% 275.41/41.81 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v5, v2) = v8) | ~ (hAPP(v7,
% 275.41/41.81 v9) = v10) | ~ (hAPP(v6, v8) = v9) | ~ (hAPP(v3, v4) = v7) | ~
% 275.41/41.81 (hAPP(v1, v4) = v6) | ~ $i(v5) | ~ $i(v4) | (hAPP(v6, v5) = v10 &
% 275.41/41.81 $i(v10))) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v6 = v2 | ~
% 275.41/41.81 (hAPP(v5, v0) = v6) | ~ (hAPP(v1, v4) = v5) | ~ $i(v4)))
% 275.41/41.81
% 275.41/41.81 (fact_power__one__right)
% 275.41/41.81 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 275.41/41.81 $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 275.41/41.81 (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v3, v1) = v4) | ~
% 275.41/41.81 $i(v2) | ~ $i(v1) | ~ class_Groups_Omonoid__mult(v2) | hAPP(v4, v0) =
% 275.41/41.81 v1))
% 275.41/41.81
% 275.41/41.81 (fact_power__real__of__nat)
% 275.41/41.81 $i(tc_RealDef_Oreal) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.81 (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 275.41/41.81 c_Power_Opower__class_Opower(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & ! [v2:
% 275.41/41.81 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 275.41/41.81 (c_RealDef_Oreal(tc_Nat_Onat, v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~
% 275.41/41.81 (hAPP(v0, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ? [v7: $i] : ? [v8: $i] :
% 275.41/41.81 (c_RealDef_Oreal(tc_Nat_Onat, v8) = v6 & hAPP(v7, v2) = v8 & hAPP(v1, v3)
% 275.41/41.81 = v7 & $i(v8) & $i(v7) & $i(v6))))
% 275.41/41.81
% 275.41/41.81 (fact_qr)
% 275.41/41.82 $i(v_q____) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 275.41/41.82 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 275.41/41.82 (c_Polynomial_Osmult(tc_Complex_Ocomplex, v4, v_q____) = v5 &
% 275.41/41.82 c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v3) = v4 &
% 275.41/41.82 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 275.41/41.82 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 &
% 275.41/41.82 c_Polynomial_Opoly(tc_Complex_Ocomplex, v5) = v6 &
% 275.41/41.82 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 & hAPP(v0, v2) = v3 &
% 275.41/41.82 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v7: $i] :
% 275.41/41.82 ! [v8: $i] : ( ~ (hAPP(v6, v7) = v8) | ~ $i(v7) | ? [v9: $i] : ? [v10:
% 275.41/41.82 $i] : (hAPP(v10, v3) = v9 & hAPP(v1, v8) = v10 & hAPP(v0, v7) = v9 &
% 275.41/41.82 $i(v10) & $i(v9))))
% 275.41/41.82
% 275.41/41.82 (fact_rabs__ratiotest__lemma)
% 275.41/41.82 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.82 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.82 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 275.41/41.82 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 275.41/41.82 $i] : ! [v8: $i] : (v3 = v0 | ~
% 275.41/41.82 (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v3) = v5) | ~
% 275.41/41.82 (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v7) | ~ (hAPP(v6, v7)
% 275.41/41.82 = v8) | ~ (hAPP(v1, v4) = v6) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 275.41/41.82 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v8) | ~
% 275.41/41.82 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v0)))
% 275.41/41.82
% 275.41/41.82 (fact_real__add__mult__distrib)
% 275.41/41.82 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 275.41/41.82 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 275.41/41.82 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 275.41/41.82 [v7: $i] : ! [v8: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 275.41/41.82 v5, v7) = v8) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v4, v1) = v5) | ~
% 275.41/41.82 (hAPP(v0, v3) = v4) | ~ (hAPP(v0, v2) = v6) | ~ $i(v3) | ~ $i(v2) | ~
% 275.41/41.82 $i(v1) | ? [v9: $i] : ? [v10: $i] :
% 275.41/41.82 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v2) = v9 & hAPP(v10,
% 275.41/41.82 v1) = v8 & hAPP(v0, v9) = v10 & $i(v10) & $i(v9) & $i(v8))))
% 275.41/41.82
% 275.41/41.82 (fact_real__minus__mult__self__le)
% 275.41/41.82 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 275.41/41.82 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 275.41/41.82 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 275.41/41.82 (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v0, v2) = v3) | ~
% 275.41/41.82 (hAPP(v0, v1) = v5) | ~ $i(v2) | ~ $i(v1) | ? [v7: $i] :
% 275.41/41.82 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v4) = v7 & $i(v7) &
% 275.41/41.82 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7, v6))))
% 275.41/41.82
% 275.41/41.82 (fact_real__mult__1)
% 275.41/41.82 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 275.41/41.82 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 275.41/41.82 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & hAPP(v0, v1) = v2 &
% 275.41/41.82 $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : (v4 = v3 | ~
% 275.41/41.82 (hAPP(v2, v3) = v4) | ~ $i(v3)))
% 275.41/41.82
% 275.41/41.82 (fact_real__mult__assoc)
% 275.41/41.82 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 275.41/41.82 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 275.41/41.82 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 275.41/41.82 [v7: $i] : ( ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v0,
% 275.41/41.82 v5) = v6) | ~ (hAPP(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1)
% 275.41/41.82 | ? [v8: $i] : ? [v9: $i] : (hAPP(v8, v1) = v9 & hAPP(v4, v9) = v7 &
% 275.41/41.82 hAPP(v0, v2) = v8 & $i(v9) & $i(v8) & $i(v7))))
% 275.41/41.82
% 275.41/41.82 (fact_real__mult__commute)
% 275.41/41.82 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 275.41/41.82 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 275.41/41.82 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (hAPP(v3, v2) = v4) | ~
% 275.41/41.82 (hAPP(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ? [v5: $i] : (hAPP(v5, v1)
% 275.41/41.82 = v4 & hAPP(v0, v2) = v5 & $i(v5) & $i(v4))))
% 275.41/41.82
% 275.41/41.82 (fact_real__mult__inverse__cancel)
% 275.41/41.82 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.82 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.82 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 275.41/41.82 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 275.41/41.82 $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 275.41/41.82 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v5) = v6) | ~
% 275.41/41.82 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v4) = v9) | ~
% 275.41/41.82 (hAPP(v10, v2) = v11) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v1, v9) = v10) |
% 275.41/41.82 ~ (hAPP(v1, v6) = v7) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) |
% 275.41/41.82 ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5) | ~
% 275.41/41.82 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 275.41/41.82 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v11) | ? [v12: $i] :
% 275.41/41.82 ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : (hAPP(v14, v2) = v15 &
% 275.41/41.82 hAPP(v12, v3) = v13 & hAPP(v1, v5) = v14 & hAPP(v1, v4) = v12 & $i(v15)
% 275.41/41.82 & $i(v14) & $i(v13) & $i(v12) & ~
% 275.41/41.82 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v15))))
% 275.41/41.82
% 275.41/41.82 (fact_real__mult__inverse__cancel2)
% 275.41/41.83 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.83 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.83 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 275.41/41.83 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 275.41/41.83 $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 275.41/41.83 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v5) = v7) | ~
% 275.41/41.83 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v4) = v10) | ~
% 275.41/41.83 (hAPP(v9, v10) = v11) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v1, v3) = v6) |
% 275.41/41.83 ~ (hAPP(v1, v2) = v9) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 275.41/41.83 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5) | ~
% 275.41/41.83 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 275.41/41.83 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v11) | ? [v12: $i] :
% 275.41/41.83 ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : (hAPP(v14, v2) = v15 &
% 275.41/41.83 hAPP(v12, v3) = v13 & hAPP(v1, v5) = v14 & hAPP(v1, v4) = v12 & $i(v15)
% 275.41/41.83 & $i(v14) & $i(v13) & $i(v12) & ~
% 275.41/41.83 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v15))))
% 275.41/41.83
% 275.41/41.83 (fact_real__mult__inverse__left)
% 275.41/41.83 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 275.41/41.83 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.83 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v2 &
% 275.41/41.83 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v2) & $i(v1) &
% 275.41/41.83 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v6 = v2 |
% 275.41/41.83 v3 = v0 | ~ (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v3) = v4)
% 275.41/41.83 | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v1, v4) = v5) | ~ $i(v3)))
% 275.41/41.83
% 275.41/41.83 (fact_real__mult__le__cancel__iff1)
% 275.41/41.83 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.83 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.83 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 275.41/41.83 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 275.41/41.83 $i] : ! [v8: $i] : ( ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v5, v4) = v6) | ~
% 275.41/41.83 (hAPP(v1, v3) = v5) | ~ (hAPP(v1, v2) = v7) | ~ $i(v4) | ~ $i(v3) | ~
% 275.41/41.83 $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v8) |
% 275.41/41.83 ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 275.41/41.83 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2)) & ! [v2: $i]
% 275.41/41.83 : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 275.41/41.83 [v8: $i] : ( ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v5, v4) = v6) | ~ (hAPP(v1,
% 275.41/41.83 v3) = v5) | ~ (hAPP(v1, v2) = v7) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2)
% 275.41/41.83 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2) | ~
% 275.41/41.83 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 275.41/41.83 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v8)))
% 275.41/41.83
% 275.41/41.83 (fact_real__mult__le__cancel__iff2)
% 275.41/41.83 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.83 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.83 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 275.41/41.83 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 275.41/41.83 $i] : ( ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v7) | ~ (hAPP(v1, v4)
% 275.41/41.83 = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 275.41/41.83 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v7) | ~
% 275.41/41.83 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 275.41/41.83 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2)) & ! [v2: $i]
% 275.41/41.83 : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 275.41/41.83 (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v7) | ~ (hAPP(v1, v4) = v5) | ~
% 275.41/41.83 $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 275.41/41.83 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2) | ~
% 275.41/41.83 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 275.41/41.83 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v7)))
% 275.41/41.83
% 275.41/41.83 (fact_real__mult__left__cancel)
% 275.41/41.83 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.83 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.83 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 275.41/41.83 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v4 = v0
% 275.41/41.83 | v3 = v2 | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v1,
% 275.41/41.83 v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2)))
% 275.41/41.83
% 275.41/41.83 (fact_real__mult__less__iff1)
% 275.41/41.83 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.83 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.83 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 275.41/41.83 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 275.41/41.83 $i] : ! [v8: $i] : ( ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v5, v4) = v6) | ~
% 275.41/41.83 (hAPP(v1, v3) = v5) | ~ (hAPP(v1, v2) = v7) | ~ $i(v4) | ~ $i(v3) | ~
% 275.41/41.83 $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v8) | ~
% 275.41/41.83 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 275.41/41.83 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2)) & ! [v2: $i] :
% 275.41/41.83 ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8:
% 275.41/41.83 $i] : ( ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v5, v4) = v6) | ~ (hAPP(v1, v3)
% 275.41/41.83 = v5) | ~ (hAPP(v1, v2) = v7) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 275.41/41.83 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2) | ~
% 275.41/41.83 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 275.41/41.83 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v8)))
% 275.41/41.83
% 275.41/41.83 (fact_real__mult__less__mono2)
% 275.41/41.83 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.83 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.83 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 275.41/41.83 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 275.41/41.83 $i] : ( ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v7) | ~ (hAPP(v1, v4)
% 275.41/41.83 = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 275.41/41.83 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2) | ~
% 275.41/41.83 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 275.41/41.83 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v7)))
% 275.41/41.83
% 275.41/41.83 (fact_real__mult__order)
% 275.41/41.83 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.83 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.83 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 275.41/41.83 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v4, v2) = v5)
% 275.41/41.83 | ~ (hAPP(v1, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~
% 275.41/41.83 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | ~
% 275.41/41.83 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 275.41/41.83 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5)))
% 275.41/41.83
% 275.41/41.83 (fact_real__mult__right__cancel)
% 275.41/41.83 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.83 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.83 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 275.41/41.83 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 275.41/41.83 $i] : (v4 = v0 | v3 = v2 | ~ (hAPP(v7, v4) = v6) | ~ (hAPP(v5, v4) = v6)
% 275.41/41.83 | ~ (hAPP(v1, v3) = v5) | ~ (hAPP(v1, v2) = v7) | ~ $i(v4) | ~ $i(v3)
% 275.41/41.83 | ~ $i(v2)))
% 275.41/41.83
% 275.41/41.83 (fact_real__natfloor__add__one__gt)
% 275.41/41.84 $i(tc_RealDef_Oreal) & $i(tc_Nat_Onat) & ? [v0: $i] :
% 275.41/41.84 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 275.41/41.84 [v2: $i] : ( ~ (c_RComplete_Onatfloor(v1) = v2) | ~ $i(v1) | ? [v3: $i] :
% 275.41/41.84 ? [v4: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3 &
% 275.41/41.84 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v0) = v4 & $i(v4) &
% 275.41/41.84 $i(v3) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v4))))
% 275.41/41.84
% 275.41/41.84 (fact_real__natfloor__gt__diff__one)
% 275.41/41.84 $i(tc_RealDef_Oreal) & $i(tc_Nat_Onat) & ? [v0: $i] :
% 275.41/41.84 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 275.41/41.84 [v2: $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v1, v0) =
% 275.41/41.84 v2) | ~ $i(v1) | ? [v3: $i] : ? [v4: $i] :
% 275.41/41.84 (c_RealDef_Oreal(tc_Nat_Onat, v3) = v4 & c_RComplete_Onatfloor(v1) = v3 &
% 275.41/41.84 $i(v4) & $i(v3) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2,
% 275.41/41.84 v4))))
% 275.41/41.84
% 275.41/41.84 (fact_real__of__nat__1)
% 275.41/41.84 $i(tc_RealDef_Oreal) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.84 (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1 &
% 275.41/41.84 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 275.41/41.84 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v1) & $i(v0))
% 275.41/41.84
% 275.41/41.84 (fact_real__of__nat__mult)
% 275.41/41.84 $i(tc_RealDef_Oreal) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.84 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.84 c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) & ! [v2:
% 275.41/41.84 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 275.41/41.84 : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v3) = v4) | ~
% 275.41/41.84 (c_RealDef_Oreal(tc_Nat_Onat, v2) = v6) | ~ (hAPP(v5, v6) = v7) | ~
% 275.41/41.84 (hAPP(v1, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ? [v8: $i] : ? [v9: $i] :
% 275.41/41.84 (c_RealDef_Oreal(tc_Nat_Onat, v9) = v7 & hAPP(v8, v2) = v9 & hAPP(v0, v3)
% 275.41/41.84 = v8 & $i(v9) & $i(v8) & $i(v7))))
% 275.41/41.84
% 275.41/41.84 (fact_real__of__nat__power)
% 275.41/41.84 $i(tc_RealDef_Oreal) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.84 (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 &
% 275.41/41.84 c_Power_Opower__class_Opower(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) & ! [v2:
% 275.41/41.84 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 275.41/41.84 (c_RealDef_Oreal(tc_Nat_Onat, v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~
% 275.41/41.84 (hAPP(v1, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ? [v7: $i] : ? [v8: $i] :
% 275.41/41.84 (c_RealDef_Oreal(tc_Nat_Onat, v8) = v6 & hAPP(v7, v2) = v8 & hAPP(v0, v3)
% 275.41/41.84 = v7 & $i(v8) & $i(v7) & $i(v6))))
% 275.41/41.84
% 275.41/41.84 (fact_real__two__squares__add__zero__iff)
% 275.41/41.84 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.84 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 275.41/41.84 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & !
% 275.41/41.84 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 275.41/41.84 $i] : (v3 = v1 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7)
% 275.41/41.84 = v1) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v4, v3) = v5) | ~ (hAPP(v0,
% 275.41/41.84 v3) = v4) | ~ (hAPP(v0, v2) = v6) | ~ $i(v3) | ~ $i(v2)) & ! [v2:
% 275.41/41.84 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 275.41/41.84 : (v2 = v1 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v1)
% 275.41/41.84 | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v4, v3) = v5) | ~ (hAPP(v0, v3) = v4)
% 275.41/41.84 | ~ (hAPP(v0, v2) = v6) | ~ $i(v3) | ~ $i(v2)) & ! [v2: $i] : ! [v3:
% 275.41/41.84 $i] : ! [v4: $i] : (v4 = v1 | ~
% 275.41/41.84 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v3) = v4) | ~
% 275.41/41.84 (hAPP(v2, v1) = v3) | ~ (hAPP(v0, v1) = v2)))
% 275.41/41.84
% 275.41/41.84 (fact_real__zero__not__eq__one)
% 275.41/41.84 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 275.41/41.84 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 275.41/41.84 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0))
% 275.41/41.84
% 275.41/41.84 (fact_realpow__minus__mult)
% 275.41/41.84 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.84 (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 &
% 275.41/41.84 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) & ! [v2:
% 275.41/41.84 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 275.41/41.84 : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 275.41/41.84 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1) = v8) | ~
% 275.41/41.84 (c_Groups_Otimes__class_Otimes(v4) = v5) | ~
% 275.41/41.84 (c_Power_Opower__class_Opower(v4) = v6) | ~ (hAPP(v10, v2) = v11) | ~
% 275.41/41.84 (hAPP(v7, v8) = v9) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v9) = v10) |
% 275.41/41.84 ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ class_Groups_Omonoid__mult(v4) | ~
% 275.41/41.84 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) | (hAPP(v7, v3) = v11 &
% 275.41/41.84 $i(v11))))
% 275.41/41.84
% 275.41/41.84 (fact_realpow__num__eq__if)
% 275.41/41.84 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.84 (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 &
% 275.41/41.84 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) & ! [v2:
% 275.41/41.84 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 275.41/41.84 : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 275.41/41.84 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1) = v9) | ~
% 275.41/41.84 (c_Groups_Otimes__class_Otimes(v4) = v7) | ~
% 275.41/41.84 (c_Power_Opower__class_Opower(v4) = v5) | ~ (hAPP(v8, v10) = v11) | ~
% 275.41/41.84 (hAPP(v7, v2) = v8) | ~ (hAPP(v6, v9) = v10) | ~ (hAPP(v5, v2) = v6) |
% 275.41/41.84 ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ class_Power_Opower(v4) | ? [v12:
% 275.41/41.84 $i] : ? [v13: $i] : (( ~ (v3 = v0) | (v13 = v12 &
% 275.41/41.84 c_Groups_Oone__class_Oone(v4) = v12 & hAPP(v6, v0) = v12 & $i(v12)))
% 275.41/41.84 & (v3 = v0 | (v12 = v11 & hAPP(v6, v3) = v11 & $i(v11))))))
% 275.41/41.84
% 275.41/41.84 (fact_reals__Archimedean6)
% 275.41/41.84 $i(tc_RealDef_Oreal) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 275.41/41.84 (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 &
% 275.41/41.84 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 275.41/41.84 [v2: $i] : ( ~ $i(v2) | ~
% 275.41/41.84 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) | ? [v3: $i]
% 275.41/41.84 : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : (c_RealDef_Oreal(tc_Nat_Onat,
% 275.41/41.84 v4) = v5 & c_RealDef_Oreal(tc_Nat_Onat, v3) = v6 &
% 275.41/41.84 c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1) = v4 & $i(v6) &
% 275.41/41.84 $i(v5) & $i(v4) & $i(v3) &
% 275.41/41.84 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v2) &
% 275.41/41.84 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v6))))
% 275.41/41.84
% 275.41/41.84 (fact_reduce__poly__simple)
% 275.41/41.85 $i(tc_RealDef_Oreal) & $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & ? [v0: $i]
% 275.41/41.85 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 275.41/41.85 (c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v3 &
% 275.41/41.85 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v4 &
% 275.41/41.85 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v5 &
% 275.41/41.85 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v2 &
% 275.41/41.85 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 275.41/41.85 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 & $i(v5) & $i(v4) &
% 275.41/41.85 $i(v3) & $i(v2) & $i(v1) & $i(v0) & ? [v6: $i] : ! [v7: $i] : ! [v8: $i]
% 275.41/41.85 : (v7 = v0 | v6 = v1 | ~ (hAPP(v3, v7) = v8) | ~ $i(v7) | ~ $i(v6) | ?
% 275.41/41.85 [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ?
% 275.41/41.85 [v14: $i] : (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v2, v12) =
% 275.41/41.85 v13 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v13) = v14 &
% 275.41/41.85 hAPP(v10, v6) = v11 & hAPP(v8, v11) = v12 & hAPP(v4, v9) = v10 & $i(v14)
% 275.41/41.85 & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 275.41/41.85 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v14, v5))))
% 275.41/41.85
% 275.41/41.85 (fact_t_I2_J)
% 275.41/41.85 $i(v_t____) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 275.41/41.85 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) &
% 275.41/41.85 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_t____, v0))
% 275.41/41.85
% 275.41/41.85 (fact_t_I3_J)
% 275.41/41.85 $i(v_m____) & $i(v_w____) & $i(v_t____) & $i(tc_RealDef_Oreal) & $i(v_k____) &
% 275.41/41.85 $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] : ?
% 275.41/41.85 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i]
% 275.41/41.85 : ? [v8: $i] : ? [v9: $i] :
% 275.41/41.85 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v8) = v9 &
% 275.41/41.85 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v4) = v5 &
% 275.41/41.85 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 275.41/41.85 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v2 &
% 275.41/41.85 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 &
% 275.41/41.85 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v4 & hAPP(v7, v_m____) = v8 &
% 275.41/41.85 hAPP(v3, v5) = v6 & hAPP(v1, v2) = v3 & hAPP(v0, v6) = v7 & $i(v9) & $i(v8)
% 275.41/41.85 & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 275.41/41.85 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_t____, v9))
% 275.41/41.85
% 275.41/41.85 (fact_th01)
% 275.41/41.85 $i(v_a____) & $i(v_k____) & $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & ?
% 275.41/41.85 [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i]
% 275.41/41.85 : (c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, v2) = v3 &
% 275.41/41.85 c_Polynomial_OpCons(tc_Complex_Ocomplex, v0, v3) = v4 &
% 275.41/41.85 c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, v1) = v2 &
% 275.41/41.85 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 &
% 275.41/41.85 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 275.41/41.85 c_Polynomial_Opoly(tc_Complex_Ocomplex, v4) = v5 & $i(v5) & $i(v4) & $i(v3)
% 275.41/41.85 & $i(v2) & $i(v1) & $i(v0) & ~
% 275.41/41.85 c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,
% 275.41/41.85 tc_Complex_Ocomplex, v5))
% 275.41/41.85
% 275.41/41.85 (fact_th02)
% 275.41/41.85 $i(v_a____) & $i(v_k____) & $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & ?
% 275.41/41.85 [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i]
% 275.41/41.85 : (c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, v3) = v4 &
% 275.41/41.85 c_Polynomial_OpCons(tc_Complex_Ocomplex, v2, v4) = v5 &
% 275.41/41.85 c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, v0) = v3 &
% 275.41/41.85 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v5) =
% 275.41/41.85 v1 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v0) = v1 &
% 275.41/41.85 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 275.41/41.85 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v2 & $i(v5) & $i(v4) &
% 275.41/41.85 $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 275.41/41.85
% 275.41/41.85 (fact_th11)
% 275.41/41.85 $i(v_a____) & $i(v_s____) & $i(v_w____) & $i(v_t____) & $i(tc_RealDef_Oreal) &
% 275.41/41.85 $i(v_k____) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 275.41/41.85 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 275.41/41.85 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 275.41/41.85 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 275.41/41.85 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 275.41/41.85 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] :
% 275.41/41.85 (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v21) = v22 &
% 275.41/41.85 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v17, v20) = v21 &
% 275.41/41.85 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v22, v26) = v27 &
% 275.41/41.85 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v14) = v15 &
% 275.41/41.85 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, v12) = v13 &
% 275.41/41.85 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 275.41/41.85 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v25) = v26 &
% 275.41/41.85 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v15) = v16 &
% 275.41/41.85 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v18 &
% 275.41/41.85 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 275.41/41.85 c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v3 &
% 275.41/41.85 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v17 &
% 275.41/41.85 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 275.41/41.85 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v10 & hAPP(v24, v11) =
% 275.41/41.85 v25 & hAPP(v19, v_k____) = v20 & hAPP(v18, v_t____) = v19 & hAPP(v10, v5) =
% 275.41/41.85 v11 & hAPP(v9, v11) = v12 & hAPP(v8, v13) = v14 & hAPP(v8, v5) = v23 &
% 275.41/41.85 hAPP(v6, v_k____) = v7 & hAPP(v4, v_w____) = v5 & hAPP(v2, v5) = v6 &
% 275.41/41.85 hAPP(v1, v23) = v24 & hAPP(v1, v7) = v8 & hAPP(v1, v5) = v9 & hAPP(v1, v3) =
% 275.41/41.85 v4 & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 275.41/41.85 $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 275.41/41.85 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 275.41/41.85 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 275.41/41.85 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v16, v27))
% 275.41/41.85
% 275.41/41.85 (fact_th30)
% 275.41/41.85 $i(v_m____) & $i(v_w____) & $i(v_t____) & $i(tc_RealDef_Oreal) & $i(v_k____) &
% 275.41/41.85 $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] : ?
% 275.41/41.85 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i]
% 275.41/41.85 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 275.41/41.85 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] :
% 275.41/41.85 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v8) = v9 &
% 275.41/41.85 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 275.41/41.85 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v6 &
% 275.41/41.85 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 &
% 275.41/41.85 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v15 &
% 275.41/41.85 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v8 & hAPP(v11, v_m____) = v12 &
% 275.41/41.85 hAPP(v7, v9) = v10 & hAPP(v5, v12) = v13 & hAPP(v4, v15) = v16 & hAPP(v4,
% 275.41/41.85 v13) = v14 & hAPP(v2, v_k____) = v3 & hAPP(v1, v6) = v7 & hAPP(v1,
% 275.41/41.85 v_t____) = v2 & hAPP(v0, v10) = v11 & hAPP(v0, v3) = v4 & hAPP(v0,
% 275.41/41.85 v_t____) = v5 & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 275.41/41.85 & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 275.41/41.85 $i(v2) & $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 275.41/41.85 v14, v16))
% 275.41/41.85
% 275.41/41.85 (fact_tw)
% 275.41/41.86 $i(v_w____) & $i(v_t____) & $i(tc_RealDef_Oreal) & $i(tc_Complex_Ocomplex) &
% 275.41/41.86 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 275.41/41.86 $i] : (c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v0 &
% 275.41/41.86 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 275.41/41.86 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v5 &
% 275.41/41.86 c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v1 & hAPP(v2,
% 275.41/41.86 v_w____) = v3 & hAPP(v0, v1) = v2 & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 275.41/41.86 $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4,
% 275.41/41.86 v5))
% 275.41/41.86
% 275.41/41.86 (fact_unimodular__reduce__norm)
% 275.41/41.86 $i(c_Complex_Oii) & $i(tc_RealDef_Oreal) & $i(tc_Complex_Ocomplex) & ? [v0:
% 275.41/41.86 $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 275.41/41.86 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v1 & $i(v1) & $i(v0) & !
% 275.41/41.86 [v2: $i] : ! [v3: $i] : ( ~
% 275.41/41.86 (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v2, v1) = v3) | ~
% 275.41/41.86 $i(v2) | ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 275.41/41.86 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : (( ~ (v4 = v0) &
% 275.41/41.86 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v4 &
% 275.41/41.86 $i(v4)) | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v2,
% 275.41/41.86 c_Complex_Oii) = v10 &
% 275.41/41.86 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v10) = v11 &
% 275.41/41.86 $i(v11) & $i(v10) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 275.41/41.86 v11, v0)) | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v2,
% 275.41/41.86 v1) = v5 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5)
% 275.41/41.86 = v6 & $i(v6) & $i(v5) &
% 275.41/41.86 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v0)) |
% 275.41/41.86 (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v2, c_Complex_Oii) =
% 275.41/41.86 v8 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v8) = v9 &
% 275.41/41.86 $i(v9) & $i(v8) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9,
% 275.41/41.86 v0)) | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) =
% 275.41/41.86 v7 & $i(v7) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7,
% 275.41/41.86 v0)))))
% 275.41/41.86
% 275.41/41.86 (fact_w)
% 275.41/41.86 $i(v_a____) & $i(v_w____) & $i(v_k____) & $i(tc_Complex_Ocomplex) & ? [v0:
% 275.41/41.86 $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 275.41/41.86 ? [v6: $i] : ? [v7: $i] : (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,
% 275.41/41.86 v0, v6) = v7 & c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 275.41/41.86 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 275.41/41.86 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 275.41/41.86 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v7 & hAPP(v5, v_a____) =
% 275.41/41.86 v6 & hAPP(v3, v_k____) = v4 & hAPP(v2, v_w____) = v3 & hAPP(v1, v4) = v5 &
% 275.41/41.86 $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 275.41/41.86
% 275.41/41.86 (fact_wm1)
% 275.41/41.86 $i(v_a____) & $i(v_w____) & $i(v_k____) & $i(tc_Complex_Ocomplex) & ? [v0:
% 275.41/41.86 $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 275.41/41.86 ? [v6: $i] : (c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v6) = v5 &
% 275.41/41.86 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v0 &
% 275.41/41.86 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v1 &
% 275.41/41.86 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v6 & hAPP(v4, v_a____) = v5
% 275.41/41.86 & hAPP(v2, v_k____) = v3 & hAPP(v1, v_w____) = v2 & hAPP(v0, v3) = v4 &
% 275.41/41.86 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 275.41/41.86
% 275.41/41.86 (fact_xt1_I7_J)
% 275.41/41.86 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2)
% 275.41/41.86 | ~ $i(v1) | ~ $i(v0) | ~ class_Orderings_Oorder(v3) | ~
% 275.41/41.86 c_Orderings_Oord__class_Oless__eq(v3, v0, v2) | ~
% 275.41/41.86 c_Orderings_Oord__class_Oless(v3, v2, v1) |
% 275.41/41.86 c_Orderings_Oord__class_Oless(v3, v0, v1))
% 275.41/41.86
% 275.41/41.86 (function-axioms)
% 275.41/41.86 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0
% 275.41/41.86 | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v4, v3, v2) =
% 275.41/41.86 v1) | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v4, v3,
% 275.41/41.86 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : !
% 275.41/41.86 [v4: $i] : (v1 = v0 | ~ (c_Power_Opower_Opower(v4, v3, v2) = v1) | ~
% 275.41/41.86 (c_Power_Opower_Opower(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 275.41/41.86 [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (c_Polynomial_Oorder(v4,
% 275.41/41.86 v3, v2) = v1) | ~ (c_Polynomial_Oorder(v4, v3, v2) = v0)) & ! [v0: $i]
% 275.41/41.86 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 275.41/41.86 (c_Polynomial_Opcompose(v4, v3, v2) = v1) | ~ (c_Polynomial_Opcompose(v4,
% 275.41/41.86 v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] :
% 275.41/41.86 ! [v4: $i] : (v1 = v0 | ~ (c_Polynomial_Osynthetic__div(v4, v3, v2) = v1) |
% 275.41/41.86 ~ (c_Polynomial_Osynthetic__div(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1:
% 275.41/41.86 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 275.41/41.86 (c_Polynomial_Omonom(v4, v3, v2) = v1) | ~ (c_Polynomial_Omonom(v4, v3, v2)
% 275.41/41.86 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 275.41/41.86 $i] : (v1 = v0 | ~ (c_Polynomial_OpCons(v4, v3, v2) = v1) | ~
% 275.41/41.86 (c_Polynomial_OpCons(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 275.41/41.86 [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (c_Polynomial_Osmult(v4,
% 275.41/41.86 v3, v2) = v1) | ~ (c_Polynomial_Osmult(v4, v3, v2) = v0)) & ! [v0: $i]
% 275.41/41.86 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 275.41/41.86 (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v1) | ~
% 275.41/41.86 (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1:
% 275.41/41.86 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 275.41/41.86 (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v1) | ~
% 275.41/41.86 (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 275.41/41.86 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (c_Groups_Osgn__class_Osgn(v3, v2)
% 275.41/41.86 = v1) | ~ (c_Groups_Osgn__class_Osgn(v3, v2) = v0)) & ! [v0: $i] : !
% 275.41/41.86 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (c_RealDef_Oreal(v3, v2)
% 275.41/41.86 = v1) | ~ (c_RealDef_Oreal(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] :
% 275.41/41.86 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (c_Nat__Transfer_Otsub(v3, v2) = v1)
% 275.41/41.86 | ~ (c_Nat__Transfer_Otsub(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 275.41/41.86 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (tc_fun(v3, v2) = v1) | ~ (tc_fun(v3,
% 275.41/41.86 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1
% 275.41/41.86 = v0 | ~ (c_Groups_Ouminus__class_Ouminus(v3, v2) = v1) | ~
% 275.41/41.86 (c_Groups_Ouminus__class_Ouminus(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 275.41/41.86 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (c_Groups_Oabs__class_Oabs(v3, v2)
% 275.41/41.86 = v1) | ~ (c_Groups_Oabs__class_Oabs(v3, v2) = v0)) & ! [v0: $i] : !
% 275.41/41.86 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 275.41/41.86 (c_Rings_Oinverse__class_Oinverse(v3, v2) = v1) | ~
% 275.41/41.86 (c_Rings_Oinverse__class_Oinverse(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 275.41/41.86 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 275.41/41.86 (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(v3, v2) = v1) | ~
% 275.41/41.86 (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(v3, v2) = v0)) & ! [v0:
% 275.41/41.86 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 275.41/41.86 (c_RealVector_Onorm__class_Onorm(v3, v2) = v1) | ~
% 275.41/41.86 (c_RealVector_Onorm__class_Onorm(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 275.41/41.86 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (c_RealVector_Oof__real(v3, v2) =
% 275.41/41.86 v1) | ~ (c_RealVector_Oof__real(v3, v2) = v0)) & ! [v0: $i] : ! [v1:
% 275.41/41.86 $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (c_Polynomial_Opoly(v3, v2)
% 275.41/41.86 = v1) | ~ (c_Polynomial_Opoly(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 275.41/41.86 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP(v3, v2) = v1) | ~ (hAPP(v3,
% 275.41/41.86 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 275.41/41.86 (c_RComplete_Onatfloor(v2) = v1) | ~ (c_RComplete_Onatfloor(v2) = v0)) & !
% 275.41/41.86 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 275.41/41.86 (c_RComplete_Onatceiling(v2) = v1) | ~ (c_RComplete_Onatceiling(v2) = v0))
% 275.41/41.86 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 275.41/41.86 (tc_Polynomial_Opoly(v2) = v1) | ~ (tc_Polynomial_Opoly(v2) = v0)) & !
% 275.41/41.86 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 275.41/41.86 (c_Groups_Otimes__class_Otimes(v2) = v1) | ~
% 275.41/41.86 (c_Groups_Otimes__class_Otimes(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 275.41/41.86 [v2: $i] : (v1 = v0 | ~ (c_Power_Opower__class_Opower(v2) = v1) | ~
% 275.41/41.86 (c_Power_Opower__class_Opower(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 275.41/41.86 [v2: $i] : (v1 = v0 | ~ (c_Groups_Oone__class_Oone(v2) = v1) | ~
% 275.41/41.86 (c_Groups_Oone__class_Oone(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 275.41/41.86 $i] : (v1 = v0 | ~ (c_Groups_Ozero__class_Ozero(v2) = v1) | ~
% 275.41/41.86 (c_Groups_Ozero__class_Ozero(v2) = v0))
% 275.41/41.86
% 275.41/41.86 Further assumptions not needed in the proof:
% 275.41/41.86 --------------------------------------------
% 275.41/41.87 arity_Complex__Ocomplex__Fields_Ofield,
% 275.41/41.87 arity_Complex__Ocomplex__Fields_Ofield__inverse__zero,
% 275.41/41.87 arity_Complex__Ocomplex__Groups_Oab__group__add,
% 275.41/41.87 arity_Complex__Ocomplex__Groups_Oab__semigroup__add,
% 275.41/41.87 arity_Complex__Ocomplex__Groups_Oab__semigroup__mult,
% 275.41/41.87 arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add,
% 275.41/41.87 arity_Complex__Ocomplex__Groups_Ocancel__comm__monoid__add,
% 275.41/41.87 arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add,
% 275.41/41.87 arity_Complex__Ocomplex__Groups_Ocomm__monoid__add,
% 275.41/41.87 arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult,
% 275.41/41.87 arity_Complex__Ocomplex__Groups_Ogroup__add,
% 275.41/41.87 arity_Complex__Ocomplex__Groups_Ominus,
% 275.41/41.87 arity_Complex__Ocomplex__Groups_Omonoid__add,
% 275.41/41.87 arity_Complex__Ocomplex__Groups_Omonoid__mult,
% 275.41/41.87 arity_Complex__Ocomplex__Groups_Oone, arity_Complex__Ocomplex__Groups_Ouminus,
% 275.41/41.87 arity_Complex__Ocomplex__Groups_Ozero,
% 275.41/41.87 arity_Complex__Ocomplex__Int_Oring__char__0,
% 275.41/41.87 arity_Complex__Ocomplex__Power_Opower,
% 275.41/41.87 arity_Complex__Ocomplex__RealVector_Oreal__algebra__1,
% 275.41/41.87 arity_Complex__Ocomplex__RealVector_Oreal__div__algebra,
% 275.41/41.87 arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,
% 275.41/41.87 arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,
% 275.41/41.87 arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,
% 275.41/41.87 arity_Complex__Ocomplex__RealVector_Oreal__normed__vector,
% 275.41/41.87 arity_Complex__Ocomplex__Rings_Ocomm__ring,
% 275.41/41.87 arity_Complex__Ocomplex__Rings_Ocomm__ring__1,
% 275.41/41.87 arity_Complex__Ocomplex__Rings_Ocomm__semiring,
% 275.41/41.87 arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,
% 275.41/41.87 arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,
% 275.41/41.87 arity_Complex__Ocomplex__Rings_Odivision__ring,
% 275.41/41.87 arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero,
% 275.41/41.87 arity_Complex__Ocomplex__Rings_Odvd, arity_Complex__Ocomplex__Rings_Oidom,
% 275.41/41.87 arity_Complex__Ocomplex__Rings_Omult__zero,
% 275.41/41.87 arity_Complex__Ocomplex__Rings_Ono__zero__divisors,
% 275.41/41.87 arity_Complex__Ocomplex__Rings_Oring, arity_Complex__Ocomplex__Rings_Oring__1,
% 275.41/41.87 arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors,
% 275.41/41.87 arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors,
% 275.41/41.87 arity_Complex__Ocomplex__Rings_Osemiring,
% 275.41/41.87 arity_Complex__Ocomplex__Rings_Osemiring__0,
% 275.41/41.87 arity_Complex__Ocomplex__Rings_Ozero__neq__one,
% 275.41/41.87 arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,
% 275.41/41.87 arity_HOL__Obool__Groups_Ominus, arity_HOL__Obool__Groups_Ouminus,
% 275.41/41.87 arity_HOL__Obool__Lattices_Oboolean__algebra, arity_HOL__Obool__Orderings_Oord,
% 275.41/41.87 arity_HOL__Obool__Orderings_Oorder, arity_HOL__Obool__Orderings_Opreorder,
% 275.41/41.87 arity_Int__Oint__Groups_Oab__group__add,
% 275.41/41.87 arity_Int__Oint__Groups_Oab__semigroup__add,
% 275.41/41.87 arity_Int__Oint__Groups_Oab__semigroup__mult, arity_Int__Oint__Groups_Oabs__if,
% 275.41/41.87 arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,
% 275.41/41.87 arity_Int__Oint__Groups_Ocancel__comm__monoid__add,
% 275.41/41.87 arity_Int__Oint__Groups_Ocancel__semigroup__add,
% 275.41/41.87 arity_Int__Oint__Groups_Ocomm__monoid__add,
% 275.41/41.87 arity_Int__Oint__Groups_Ocomm__monoid__mult,
% 275.41/41.87 arity_Int__Oint__Groups_Ogroup__add,
% 275.41/41.87 arity_Int__Oint__Groups_Olinordered__ab__group__add,
% 275.41/41.87 arity_Int__Oint__Groups_Ominus, arity_Int__Oint__Groups_Omonoid__add,
% 275.41/41.87 arity_Int__Oint__Groups_Omonoid__mult, arity_Int__Oint__Groups_Oone,
% 275.41/41.87 arity_Int__Oint__Groups_Oordered__ab__group__add,
% 275.41/41.87 arity_Int__Oint__Groups_Oordered__ab__group__add__abs,
% 275.41/41.87 arity_Int__Oint__Groups_Oordered__ab__semigroup__add,
% 275.41/41.87 arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,
% 275.41/41.87 arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,
% 275.41/41.87 arity_Int__Oint__Groups_Oordered__comm__monoid__add,
% 275.41/41.87 arity_Int__Oint__Groups_Osgn__if, arity_Int__Oint__Groups_Ouminus,
% 275.41/41.87 arity_Int__Oint__Groups_Ozero, arity_Int__Oint__Int_Oring__char__0,
% 275.41/41.87 arity_Int__Oint__Orderings_Olinorder, arity_Int__Oint__Orderings_Oord,
% 275.41/41.87 arity_Int__Oint__Orderings_Oorder, arity_Int__Oint__Orderings_Opreorder,
% 275.41/41.87 arity_Int__Oint__Power_Opower, arity_Int__Oint__Rings_Ocomm__ring,
% 275.41/41.87 arity_Int__Oint__Rings_Ocomm__ring__1, arity_Int__Oint__Rings_Ocomm__semiring,
% 275.41/41.87 arity_Int__Oint__Rings_Ocomm__semiring__0,
% 275.41/41.87 arity_Int__Oint__Rings_Ocomm__semiring__1, arity_Int__Oint__Rings_Odvd,
% 275.41/41.87 arity_Int__Oint__Rings_Oidom,
% 275.41/41.87 arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,
% 275.41/41.87 arity_Int__Oint__Rings_Olinordered__idom,
% 275.41/41.87 arity_Int__Oint__Rings_Olinordered__ring,
% 275.41/41.87 arity_Int__Oint__Rings_Olinordered__ring__strict,
% 275.41/41.87 arity_Int__Oint__Rings_Olinordered__semidom,
% 275.41/41.87 arity_Int__Oint__Rings_Olinordered__semiring,
% 275.41/41.87 arity_Int__Oint__Rings_Olinordered__semiring__1,
% 275.41/41.87 arity_Int__Oint__Rings_Olinordered__semiring__1__strict,
% 275.41/41.87 arity_Int__Oint__Rings_Olinordered__semiring__strict,
% 275.41/41.87 arity_Int__Oint__Rings_Omult__zero, arity_Int__Oint__Rings_Ono__zero__divisors,
% 275.41/41.87 arity_Int__Oint__Rings_Oordered__cancel__semiring,
% 275.41/41.87 arity_Int__Oint__Rings_Oordered__comm__semiring,
% 275.41/41.87 arity_Int__Oint__Rings_Oordered__ring,
% 275.41/41.87 arity_Int__Oint__Rings_Oordered__ring__abs,
% 275.41/41.87 arity_Int__Oint__Rings_Oordered__semiring, arity_Int__Oint__Rings_Oring,
% 275.41/41.87 arity_Int__Oint__Rings_Oring__1,
% 275.41/41.87 arity_Int__Oint__Rings_Oring__1__no__zero__divisors,
% 275.41/41.87 arity_Int__Oint__Rings_Oring__no__zero__divisors,
% 275.41/41.87 arity_Int__Oint__Rings_Osemiring, arity_Int__Oint__Rings_Osemiring__0,
% 275.41/41.87 arity_Int__Oint__Rings_Ozero__neq__one,
% 275.41/41.87 arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,
% 275.41/41.87 arity_Nat__Onat__Groups_Oab__semigroup__add,
% 275.41/41.87 arity_Nat__Onat__Groups_Oab__semigroup__mult,
% 275.41/41.87 arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,
% 275.41/41.87 arity_Nat__Onat__Groups_Ocancel__comm__monoid__add,
% 275.41/41.87 arity_Nat__Onat__Groups_Ocancel__semigroup__add,
% 275.41/41.87 arity_Nat__Onat__Groups_Ocomm__monoid__add,
% 275.41/41.87 arity_Nat__Onat__Groups_Ocomm__monoid__mult, arity_Nat__Onat__Groups_Ominus,
% 275.41/41.87 arity_Nat__Onat__Groups_Omonoid__add, arity_Nat__Onat__Groups_Omonoid__mult,
% 275.41/41.87 arity_Nat__Onat__Groups_Oone,
% 275.41/41.87 arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,
% 275.41/41.87 arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,
% 275.41/41.87 arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,
% 275.41/41.87 arity_Nat__Onat__Groups_Oordered__comm__monoid__add,
% 275.41/41.87 arity_Nat__Onat__Groups_Ozero, arity_Nat__Onat__Orderings_Olinorder,
% 275.41/41.87 arity_Nat__Onat__Orderings_Oord, arity_Nat__Onat__Orderings_Oorder,
% 275.41/41.87 arity_Nat__Onat__Orderings_Opreorder, arity_Nat__Onat__Power_Opower,
% 275.41/41.87 arity_Nat__Onat__Rings_Ocomm__semiring,
% 275.41/41.87 arity_Nat__Onat__Rings_Ocomm__semiring__0,
% 275.41/41.87 arity_Nat__Onat__Rings_Ocomm__semiring__1, arity_Nat__Onat__Rings_Odvd,
% 275.41/41.87 arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,
% 275.41/41.87 arity_Nat__Onat__Rings_Olinordered__semidom,
% 275.41/41.87 arity_Nat__Onat__Rings_Olinordered__semiring,
% 275.41/41.87 arity_Nat__Onat__Rings_Olinordered__semiring__strict,
% 275.41/41.87 arity_Nat__Onat__Rings_Omult__zero, arity_Nat__Onat__Rings_Ono__zero__divisors,
% 275.41/41.87 arity_Nat__Onat__Rings_Oordered__cancel__semiring,
% 275.41/41.87 arity_Nat__Onat__Rings_Oordered__comm__semiring,
% 275.41/41.87 arity_Nat__Onat__Rings_Oordered__semiring, arity_Nat__Onat__Rings_Osemiring,
% 275.41/41.87 arity_Nat__Onat__Rings_Osemiring__0, arity_Nat__Onat__Rings_Ozero__neq__one,
% 275.41/41.87 arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,
% 275.41/41.87 arity_Polynomial__Opoly__Groups_Oab__group__add,
% 275.41/41.87 arity_Polynomial__Opoly__Groups_Oab__semigroup__add,
% 275.41/41.87 arity_Polynomial__Opoly__Groups_Oab__semigroup__mult,
% 275.41/41.87 arity_Polynomial__Opoly__Groups_Oabs__if,
% 275.41/41.87 arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add,
% 275.41/41.87 arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add,
% 275.41/41.87 arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add,
% 275.41/41.87 arity_Polynomial__Opoly__Groups_Ocomm__monoid__add,
% 275.41/41.87 arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult,
% 275.41/41.87 arity_Polynomial__Opoly__Groups_Ogroup__add,
% 275.41/41.87 arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add,
% 275.41/41.87 arity_Polynomial__Opoly__Groups_Ominus,
% 275.41/41.87 arity_Polynomial__Opoly__Groups_Omonoid__add,
% 275.41/41.87 arity_Polynomial__Opoly__Groups_Omonoid__mult,
% 275.41/41.87 arity_Polynomial__Opoly__Groups_Oone,
% 275.41/41.87 arity_Polynomial__Opoly__Groups_Oordered__ab__group__add,
% 275.41/41.87 arity_Polynomial__Opoly__Groups_Oordered__ab__group__add__abs,
% 275.41/41.87 arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add,
% 275.41/41.87 arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le,
% 275.41/41.87 arity_Polynomial__Opoly__Groups_Oordered__cancel__ab__semigroup__add,
% 275.41/41.87 arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add,
% 275.41/41.87 arity_Polynomial__Opoly__Groups_Osgn__if,
% 275.41/41.87 arity_Polynomial__Opoly__Groups_Ouminus, arity_Polynomial__Opoly__Groups_Ozero,
% 275.41/41.87 arity_Polynomial__Opoly__Int_Oring__char__0,
% 275.41/41.87 arity_Polynomial__Opoly__Orderings_Olinorder,
% 275.41/41.87 arity_Polynomial__Opoly__Orderings_Oord,
% 275.41/41.87 arity_Polynomial__Opoly__Orderings_Oorder,
% 275.41/41.87 arity_Polynomial__Opoly__Orderings_Opreorder,
% 275.41/41.87 arity_Polynomial__Opoly__Power_Opower,
% 275.41/41.87 arity_Polynomial__Opoly__Rings_Ocomm__ring,
% 275.41/41.87 arity_Polynomial__Opoly__Rings_Ocomm__ring__1,
% 275.41/41.87 arity_Polynomial__Opoly__Rings_Ocomm__semiring,
% 275.41/41.87 arity_Polynomial__Opoly__Rings_Ocomm__semiring__0,
% 275.41/41.87 arity_Polynomial__Opoly__Rings_Ocomm__semiring__1,
% 275.41/41.87 arity_Polynomial__Opoly__Rings_Odvd, arity_Polynomial__Opoly__Rings_Oidom,
% 275.41/41.87 arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict,
% 275.41/41.87 arity_Polynomial__Opoly__Rings_Olinordered__idom,
% 275.41/41.87 arity_Polynomial__Opoly__Rings_Olinordered__ring,
% 275.41/41.87 arity_Polynomial__Opoly__Rings_Olinordered__ring__strict,
% 275.41/41.87 arity_Polynomial__Opoly__Rings_Olinordered__semidom,
% 275.41/41.87 arity_Polynomial__Opoly__Rings_Olinordered__semiring,
% 275.41/41.87 arity_Polynomial__Opoly__Rings_Olinordered__semiring__1,
% 275.41/41.87 arity_Polynomial__Opoly__Rings_Olinordered__semiring__1__strict,
% 275.41/41.87 arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict,
% 275.41/41.87 arity_Polynomial__Opoly__Rings_Omult__zero,
% 275.41/41.87 arity_Polynomial__Opoly__Rings_Ono__zero__divisors,
% 275.41/41.87 arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring,
% 275.41/41.87 arity_Polynomial__Opoly__Rings_Oordered__comm__semiring,
% 275.41/41.87 arity_Polynomial__Opoly__Rings_Oordered__ring,
% 275.41/41.87 arity_Polynomial__Opoly__Rings_Oordered__ring__abs,
% 275.41/41.87 arity_Polynomial__Opoly__Rings_Oordered__semiring,
% 275.41/41.87 arity_Polynomial__Opoly__Rings_Oring, arity_Polynomial__Opoly__Rings_Oring__1,
% 275.41/41.87 arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors,
% 275.41/41.87 arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors,
% 275.41/41.87 arity_Polynomial__Opoly__Rings_Osemiring,
% 275.41/41.87 arity_Polynomial__Opoly__Rings_Osemiring__0,
% 275.41/41.87 arity_Polynomial__Opoly__Rings_Ozero__neq__one,
% 275.41/41.87 arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,
% 275.41/41.87 arity_RealDef__Oreal__Fields_Ofield,
% 275.41/41.87 arity_RealDef__Oreal__Fields_Ofield__inverse__zero,
% 275.41/41.87 arity_RealDef__Oreal__Fields_Olinordered__field,
% 275.41/41.87 arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero,
% 275.41/41.87 arity_RealDef__Oreal__Groups_Oab__group__add,
% 275.41/41.87 arity_RealDef__Oreal__Groups_Oab__semigroup__add,
% 275.41/41.87 arity_RealDef__Oreal__Groups_Oab__semigroup__mult,
% 275.41/41.87 arity_RealDef__Oreal__Groups_Oabs__if,
% 275.41/41.87 arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add,
% 275.41/41.87 arity_RealDef__Oreal__Groups_Ocancel__comm__monoid__add,
% 275.41/41.87 arity_RealDef__Oreal__Groups_Ocancel__semigroup__add,
% 275.41/41.87 arity_RealDef__Oreal__Groups_Ocomm__monoid__add,
% 275.41/41.87 arity_RealDef__Oreal__Groups_Ocomm__monoid__mult,
% 275.41/41.87 arity_RealDef__Oreal__Groups_Ogroup__add,
% 275.41/41.87 arity_RealDef__Oreal__Groups_Olinordered__ab__group__add,
% 275.41/41.87 arity_RealDef__Oreal__Groups_Ominus, arity_RealDef__Oreal__Groups_Omonoid__add,
% 275.41/41.87 arity_RealDef__Oreal__Groups_Omonoid__mult, arity_RealDef__Oreal__Groups_Oone,
% 275.41/41.87 arity_RealDef__Oreal__Groups_Oordered__ab__group__add,
% 275.41/41.87 arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs,
% 275.41/41.87 arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add,
% 275.41/41.87 arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le,
% 275.41/41.87 arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add,
% 275.41/41.87 arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add,
% 275.41/41.87 arity_RealDef__Oreal__Groups_Osgn__if, arity_RealDef__Oreal__Groups_Ouminus,
% 275.41/41.87 arity_RealDef__Oreal__Groups_Ozero, arity_RealDef__Oreal__Int_Oring__char__0,
% 275.41/41.87 arity_RealDef__Oreal__Orderings_Olinorder, arity_RealDef__Oreal__Orderings_Oord,
% 275.41/41.87 arity_RealDef__Oreal__Orderings_Opreorder, arity_RealDef__Oreal__Power_Opower,
% 275.41/41.87 arity_RealDef__Oreal__RealVector_Oreal__algebra__1,
% 275.41/41.87 arity_RealDef__Oreal__RealVector_Oreal__div__algebra,
% 275.41/41.87 arity_RealDef__Oreal__RealVector_Oreal__normed__algebra,
% 275.41/41.87 arity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,
% 275.41/41.87 arity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,
% 275.41/41.87 arity_RealDef__Oreal__RealVector_Oreal__normed__vector,
% 275.41/41.87 arity_RealDef__Oreal__Rings_Ocomm__ring,
% 275.41/41.87 arity_RealDef__Oreal__Rings_Ocomm__ring__1,
% 275.41/41.87 arity_RealDef__Oreal__Rings_Ocomm__semiring,
% 275.41/41.87 arity_RealDef__Oreal__Rings_Ocomm__semiring__0,
% 275.41/41.87 arity_RealDef__Oreal__Rings_Odivision__ring,
% 275.41/41.87 arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero,
% 275.41/41.87 arity_RealDef__Oreal__Rings_Odvd, arity_RealDef__Oreal__Rings_Oidom,
% 275.41/41.87 arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict,
% 275.41/41.87 arity_RealDef__Oreal__Rings_Olinordered__idom,
% 275.41/41.87 arity_RealDef__Oreal__Rings_Olinordered__ring,
% 275.41/41.87 arity_RealDef__Oreal__Rings_Olinordered__ring__strict,
% 275.41/41.87 arity_RealDef__Oreal__Rings_Olinordered__semidom,
% 275.41/41.87 arity_RealDef__Oreal__Rings_Olinordered__semiring,
% 275.41/41.87 arity_RealDef__Oreal__Rings_Olinordered__semiring__1,
% 275.41/41.87 arity_RealDef__Oreal__Rings_Olinordered__semiring__1__strict,
% 275.41/41.87 arity_RealDef__Oreal__Rings_Olinordered__semiring__strict,
% 275.41/41.87 arity_RealDef__Oreal__Rings_Omult__zero,
% 275.41/41.87 arity_RealDef__Oreal__Rings_Ono__zero__divisors,
% 275.41/41.87 arity_RealDef__Oreal__Rings_Oordered__cancel__semiring,
% 275.41/41.87 arity_RealDef__Oreal__Rings_Oordered__comm__semiring,
% 275.41/41.87 arity_RealDef__Oreal__Rings_Oordered__ring,
% 275.41/41.87 arity_RealDef__Oreal__Rings_Oordered__ring__abs,
% 275.41/41.87 arity_RealDef__Oreal__Rings_Oordered__semiring,
% 275.41/41.87 arity_RealDef__Oreal__Rings_Oring, arity_RealDef__Oreal__Rings_Oring__1,
% 275.41/41.87 arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors,
% 275.41/41.87 arity_RealDef__Oreal__Rings_Oring__no__zero__divisors,
% 275.41/41.87 arity_RealDef__Oreal__Rings_Osemiring, arity_RealDef__Oreal__Rings_Osemiring__0,
% 275.41/41.87 arity_RealDef__Oreal__Rings_Ozero__neq__one,
% 275.41/41.87 arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,
% 275.41/41.87 arity_fun__Groups_Ominus, arity_fun__Groups_Ouminus,
% 275.41/41.87 arity_fun__Lattices_Oboolean__algebra, arity_fun__Orderings_Oord,
% 275.41/41.87 arity_fun__Orderings_Oorder, arity_fun__Orderings_Opreorder,
% 275.41/41.87 fact_Bseq__inverse__lemma, fact_Deriv_Oadd__diff__add,
% 275.41/41.87 fact_Deriv_Oinverse__diff__inverse, fact_INVERSE__ZERO,
% 275.41/41.87 fact_Limits_Ominus__diff__minus, fact_Nat_Oadd__0__right,
% 275.41/41.87 fact_Nat_Odiff__diff__eq,
% 275.41/41.87 fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,
% 275.41/41.87 fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,
% 275.41/41.87 fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,
% 275.41/41.87 fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,
% 275.41/41.87 fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,
% 275.41/41.87 fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,
% 275.41/41.87 fact__096EX_Aq_O_Apsize_Aq_A_061_Apsize_Ap_A_G_A_IALL_Ax_O_Apoly_Aq_Ax_A_061_Apoly_Ap_A_Ic_A_L_Ax_J_J_096,
% 275.41/41.87 fact__096_B_Bthesis_O_A_I_B_Bq_O_A_091_124_Apsize_Aq_A_061_Apsize_Ap_059_AALL_Ax_O_Apoly_Aq_Ax_A_061_Apoly_Ap_A_Ic_A_L_Ax_J_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096,
% 275.41/41.87 fact__096_I_B_Bx_Ay_O_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Ax_A_061_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Ay_J_061_061_062_AFalse_096,
% 275.41/41.87 fact__096constant_A_Ipoly_Aq_J_A_061_061_062_AFalse_096,
% 275.41/41.87 fact__096poly_Ap_Ac_A_061_A0_A_061_061_062_AEX_Az_O_Apoly_Ap_Az_A_061_A0_096,
% 275.41/41.87 fact__096psize_Ap_A_061_Ak_A_L_A1_A_061_061_062_AEX_Aw_O_Acmod_A_Ipoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Aw_J_A_060_A1_096,
% 275.41/41.87 fact_a00, fact_ab__diff__minus, fact_ab__left__minus,
% 275.41/41.87 fact_ab__semigroup__add__class_Oadd__ac_I1_J,
% 275.41/41.87 fact_ab__semigroup__mult__class_Omult__ac_I1_J, fact_abs__add__abs,
% 275.41/41.87 fact_abs__diff__less__iff, fact_abs__diff__triangle__ineq, fact_abs__eq__0,
% 275.41/41.87 fact_abs__eq__mult, fact_abs__ge__minus__self, fact_abs__ge__self,
% 275.41/41.87 fact_abs__ge__zero, fact_abs__idempotent, fact_abs__if, fact_abs__inverse,
% 275.41/41.87 fact_abs__leI, fact_abs__le__D1, fact_abs__le__D2, fact_abs__le__iff,
% 275.41/41.87 fact_abs__le__interval__iff, fact_abs__le__zero__iff, fact_abs__less__iff,
% 275.41/41.87 fact_abs__minus__add__cancel, fact_abs__minus__cancel, fact_abs__minus__commute,
% 275.41/41.87 fact_abs__minus__le__zero, fact_abs__mult, fact_abs__mult__less,
% 275.41/41.87 fact_abs__mult__pos, fact_abs__mult__self, fact_abs__norm__cancel,
% 275.41/41.87 fact_abs__not__less__zero, fact_abs__of__neg, fact_abs__of__nonneg,
% 275.41/41.87 fact_abs__of__nonpos, fact_abs__of__pos, fact_abs__one, fact_abs__poly__def,
% 275.41/41.87 fact_abs__power__minus, fact_abs__real__def, fact_abs__real__of__nat__cancel,
% 275.41/41.87 fact_abs__sgn, fact_abs__sum__triangle__ineq, fact_abs__triangle__ineq,
% 275.41/41.87 fact_abs__triangle__ineq2, fact_abs__triangle__ineq2__sym,
% 275.41/41.87 fact_abs__triangle__ineq3, fact_abs__triangle__ineq4, fact_abs__zero,
% 275.41/41.87 fact_abs__zmult__eq__1, fact_add1__zle__eq, fact_add_Ocomm__neutral,
% 275.41/41.87 fact_add__0, fact_add__0__iff, fact_add__0__left, fact_add__0__right,
% 275.41/41.87 fact_add__diff__assoc, fact_add__diff__assoc2, fact_add__diff__cancel,
% 275.41/41.87 fact_add__diff__inverse, fact_add__eq__0__iff, fact_add__eq__self__zero,
% 275.41/41.87 fact_add__gr__0, fact_add__imp__eq, fact_add__increasing, fact_add__increasing2,
% 275.41/41.87 fact_add__is__0, fact_add__leD1, fact_add__leD2, fact_add__leE,
% 275.41/41.87 fact_add__le__cancel__left, fact_add__le__cancel__right,
% 275.41/41.87 fact_add__le__imp__le__left, fact_add__le__imp__le__right,
% 275.41/41.87 fact_add__le__less__mono, fact_add__le__mono, fact_add__le__mono1,
% 275.41/41.87 fact_add__left__cancel, fact_add__left__imp__eq, fact_add__left__mono,
% 275.41/41.87 fact_add__lessD1, fact_add__less__cancel__left, fact_add__less__cancel__right,
% 275.41/41.87 fact_add__less__imp__less__left, fact_add__less__imp__less__right,
% 275.41/41.87 fact_add__less__le__mono, fact_add__less__mono, fact_add__less__mono1,
% 275.41/41.87 fact_add__minus__cancel, fact_add__mono, fact_add__monom,
% 275.41/41.87 fact_add__mult__distrib, fact_add__mult__distrib2, fact_add__neg__neg,
% 275.41/41.87 fact_add__neg__nonpos, fact_add__nonneg__eq__0__iff, fact_add__nonneg__nonneg,
% 275.41/41.87 fact_add__nonneg__pos, fact_add__nonpos__neg, fact_add__nonpos__nonpos,
% 275.41/41.87 fact_add__pCons, fact_add__poly__code_I1_J, fact_add__poly__code_I2_J,
% 275.41/41.87 fact_add__pos__nonneg, fact_add__pos__pos, fact_add__right__cancel,
% 275.41/41.87 fact_add__right__imp__eq, fact_add__right__mono, fact_add__scale__eq__noteq,
% 275.41/41.87 fact_add__strict__increasing, fact_add__strict__increasing2,
% 275.41/41.87 fact_add__strict__left__mono, fact_add__strict__mono,
% 275.41/41.87 fact_add__strict__right__mono, fact_assms, fact_c, fact_combine__common__factor,
% 275.41/41.87 fact_comm__mult__left__mono, fact_comm__mult__strict__left__mono,
% 275.41/41.87 fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,
% 275.41/41.87 fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,
% 275.41/41.87 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,
% 275.41/41.87 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,
% 275.41/41.87 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,
% 275.41/41.87 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,
% 275.41/41.87 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,
% 275.41/41.87 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,
% 275.41/41.87 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,
% 275.41/41.87 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,
% 275.41/41.87 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,
% 275.41/41.87 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,
% 275.41/41.87 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,
% 275.41/41.87 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,
% 275.41/41.87 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,
% 275.41/41.87 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,
% 275.41/41.87 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,
% 275.41/41.87 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,
% 275.41/41.87 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,
% 275.41/41.87 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,
% 275.41/41.87 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,
% 275.41/41.87 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,
% 275.41/41.87 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,
% 275.41/41.87 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,
% 275.41/41.87 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,
% 275.41/41.87 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,
% 275.41/41.87 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,
% 275.41/41.87 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,
% 275.41/41.87 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,
% 275.41/41.87 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,
% 275.41/41.87 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,
% 275.41/41.87 fact_comm__semiring__class_Odistrib, fact_compl__eq__compl__iff,
% 275.41/41.87 fact_compl__le__compl__iff, fact_compl__mono, fact_complex__diff__def,
% 275.41/41.87 fact_complex__i__not__one, fact_complex__i__not__zero,
% 275.41/41.87 fact_complex__mod__minus__le__complex__mod, fact_complex__mod__triangle__ineq2,
% 275.41/41.87 fact_complex__mod__triangle__sub, fact_constant__def, fact_convex__bound__le,
% 275.41/41.87 fact_convex__bound__lt, fact_cq0, fact_crossproduct__eq,
% 275.41/41.87 fact_crossproduct__noteq, fact_decr__lemma, fact_decseq__def, fact_diff__0,
% 275.41/41.87 fact_diff__0__eq__0, fact_diff__0__right, fact_diff__add__0,
% 275.41/41.87 fact_diff__add__assoc, fact_diff__add__assoc2, fact_diff__add__cancel,
% 275.41/41.87 fact_diff__add__inverse, fact_diff__add__inverse2, fact_diff__cancel,
% 275.41/41.87 fact_diff__cancel2, fact_diff__commute, fact_diff__def, fact_diff__diff__cancel,
% 275.41/41.87 fact_diff__diff__left, fact_diff__diff__right, fact_diff__eq__diff__eq,
% 275.41/41.87 fact_diff__eq__diff__less, fact_diff__eq__diff__less__eq, fact_diff__int__def,
% 275.41/41.87 fact_diff__int__def__symmetric, fact_diff__is__0__eq, fact_diff__is__0__eq_H,
% 275.41/41.87 fact_diff__le__mono, fact_diff__le__mono2, fact_diff__le__self, fact_diff__less,
% 275.41/41.87 fact_diff__less__mono, fact_diff__less__mono2, fact_diff__minus__eq__add,
% 275.41/41.87 fact_diff__monom, fact_diff__mult__distrib, fact_diff__mult__distrib2,
% 275.41/41.87 fact_diff__pCons, fact_diff__poly__code_I1_J, fact_diff__poly__code_I2_J,
% 275.41/41.87 fact_diff__self, fact_diff__self__eq__0, fact_diffs0__imp__equal,
% 275.41/41.87 fact_division__ring__inverse__add, fact_division__ring__inverse__diff,
% 275.41/41.87 fact_divisors__zero, fact_double__add__le__zero__iff__single__add__le__zero,
% 275.41/41.87 fact_double__add__less__zero__iff__single__add__less__zero, fact_double__compl,
% 275.41/41.87 fact_double__eq__0__iff, fact_double__zero__sym, fact_dvd__0__right,
% 275.41/41.87 fact_dvd__add, fact_dvd__diff, fact_dvd__minus__iff, fact_dvd__mult2,
% 275.41/41.87 fact_dvd__power__same, fact_dvd__refl, fact_dvd__smult, fact_dvd__trans,
% 275.41/41.87 fact_dvd__triv__left, fact_dvd__triv__right, fact_eq__add__iff1,
% 275.41/41.87 fact_eq__add__iff2, fact_eq__diff__iff, fact_eq__iff__diff__eq__0,
% 275.41/41.87 fact_eq__imp__le, fact_eq__neg__iff__add__eq__0, fact_equal__neg__zero,
% 275.41/41.87 fact_equation__minus__iff, fact_even__less__0__iff, fact_ext,
% 275.41/41.87 fact_field__inverse, fact_field__inverse__zero, fact_field__power__not__zero,
% 275.41/41.87 fact_gr0I, fact_gr__implies__not0, fact_i__mult__eq2, fact_incr__lemma,
% 275.41/41.87 fact_inf__period_I3_J, fact_inf__period_I4_J, fact_int__0__less__1,
% 275.41/41.87 fact_int__0__neq__1, fact_int__one__le__iff__zero__less, fact_inverse__1,
% 275.41/41.87 fact_inverse__add, fact_inverse__eq__1__iff, fact_inverse__eq__iff__eq,
% 275.41/41.87 fact_inverse__eq__imp__eq, fact_inverse__i, fact_inverse__inverse__eq,
% 275.41/41.87 fact_inverse__le__1__iff, fact_inverse__le__imp__le,
% 275.41/41.87 fact_inverse__le__imp__le__neg, fact_inverse__less__1__iff,
% 275.41/41.87 fact_inverse__less__imp__less, fact_inverse__less__imp__less__neg,
% 275.41/41.87 fact_inverse__minus__eq, fact_inverse__mult__distrib,
% 275.41/41.87 fact_inverse__negative__iff__negative, fact_inverse__negative__imp__negative,
% 275.41/41.87 fact_inverse__nonnegative__iff__nonnegative,
% 275.41/41.87 fact_inverse__nonpositive__iff__nonpositive,
% 275.41/41.87 fact_inverse__nonzero__iff__nonzero, fact_inverse__positive__iff__positive,
% 275.41/41.87 fact_inverse__positive__imp__positive, fact_inverse__unique, fact_inverse__zero,
% 275.41/41.87 fact_inverse__zero__imp__zero, fact_kas_I1_J, fact_kas_I2_J, fact_le0, fact_leD,
% 275.41/41.87 fact_leI, fact_le__0__eq, fact_le__Suc__ex__iff, fact_le__add1, fact_le__add2,
% 275.41/41.87 fact_le__add__diff, fact_le__add__diff__inverse, fact_le__add__diff__inverse2,
% 275.41/41.87 fact_le__add__iff1, fact_le__add__iff2, fact_le__antisym, fact_le__cube,
% 275.41/41.87 fact_le__diff__conv, fact_le__diff__conv2, fact_le__diff__iff,
% 275.41/41.87 fact_le__eq__less__or__eq, fact_le__funD, fact_le__funE, fact_le__fun__def,
% 275.41/41.87 fact_le__iff__add, fact_le__iff__diff__le__0, fact_le__imp__0__less,
% 275.41/41.87 fact_le__imp__diff__is__add, fact_le__imp__inverse__le,
% 275.41/41.87 fact_le__imp__inverse__le__neg, fact_le__imp__neg__le, fact_le__minus__iff,
% 275.41/41.87 fact_le__minus__self__iff, fact_le__natfloor, fact_le__natfloor__eq,
% 275.41/41.87 fact_le__neq__implies__less, fact_le__refl, fact_le__square, fact_le__trans,
% 275.41/41.87 fact_left__add__mult__distrib, fact_left__inverse, fact_left__minus,
% 275.41/41.87 fact_less_Ohyps, fact_less_Oprems, fact_less__1__mult, fact_less__add__eq__less,
% 275.41/41.87 fact_less__add__iff1, fact_less__add__iff2, fact_less__add__one,
% 275.41/41.87 fact_less__bin__lemma, fact_less__diff__conv, fact_less__diff__iff,
% 275.41/41.87 fact_less__eq__nat_Osimps_I1_J, fact_less__eq__poly__def,
% 275.41/41.87 fact_less__eq__real__def, fact_less__fun__def, fact_less__iff__diff__less__0,
% 275.41/41.87 fact_less__imp__diff__less, fact_less__imp__inverse__less,
% 275.41/41.87 fact_less__imp__inverse__less__neg, fact_less__imp__le__nat,
% 275.41/41.87 fact_less__imp__neq, fact_less__irrefl__nat, fact_less__le__not__le,
% 275.41/41.87 fact_less__minus__iff, fact_less__minus__self__iff, fact_less__nat__zero__code,
% 275.41/41.87 fact_less__natfloor, fact_less__not__refl, fact_less__not__refl2,
% 275.41/41.87 fact_less__not__refl3, fact_less__or__eq__imp__le, fact_less__poly__def,
% 275.41/41.87 fact_less__zeroE, fact_lgqr, fact_linorder__antisym__conv1,
% 275.41/41.87 fact_linorder__antisym__conv2, fact_linorder__antisym__conv3,
% 275.41/41.87 fact_linorder__cases, fact_linorder__le__cases, fact_linorder__le__less__linear,
% 275.41/41.87 fact_linorder__less__linear, fact_linorder__linear, fact_linorder__neqE,
% 275.41/41.87 fact_linorder__neqE__linordered__idom, fact_linorder__neqE__nat,
% 275.41/41.87 fact_linorder__neq__iff, fact_linorder__not__le, fact_linorder__not__less,
% 275.41/41.87 fact_m_I1_J, fact_minus__add, fact_minus__add__cancel, fact_minus__add__distrib,
% 275.41/41.87 fact_minus__apply, fact_minus__diff__eq, fact_minus__dvd__iff,
% 275.41/41.87 fact_minus__equation__iff, fact_minus__le__iff, fact_minus__le__self__iff,
% 275.41/41.87 fact_minus__less__iff, fact_minus__minus, fact_minus__monom,
% 275.41/41.87 fact_minus__mult__commute, fact_minus__mult__left, fact_minus__mult__minus,
% 275.41/41.87 fact_minus__mult__right, fact_minus__nat_Odiff__0, fact_minus__pCons,
% 275.41/41.87 fact_minus__poly__code_I1_J, fact_minus__poly__code_I2_J, fact_minus__real__def,
% 275.41/41.87 fact_minus__unique, fact_minus__zero, fact_monom__0, fact_monom__eq__0,
% 275.41/41.87 fact_monom__eq__0__iff, fact_monom__eq__iff, fact_mult_Oadd__left,
% 275.41/41.87 fact_mult_Oadd__right, fact_mult_Ocomm__neutral, fact_mult_Odiff__left,
% 275.41/41.87 fact_mult_Odiff__right, fact_mult_Ominus__left, fact_mult_Ominus__right,
% 275.41/41.87 fact_mult_Oprod__diff__prod, fact_mult_Ozero__left, fact_mult_Ozero__right,
% 275.41/41.87 fact_mult__0, fact_mult__0__right, fact_mult__1, fact_mult__1__left,
% 275.41/41.87 fact_mult__1__right, fact_mult__cancel1, fact_mult__cancel2,
% 275.41/41.87 fact_mult__diff__mult, fact_mult__eq__0__iff, fact_mult__idem, fact_mult__is__0,
% 275.41/41.87 fact_mult__le__0__iff, fact_mult__le__cancel1, fact_mult__le__cancel2,
% 275.41/41.87 fact_mult__le__cancel__left__neg, fact_mult__le__cancel__left__pos,
% 275.41/41.87 fact_mult__le__less__imp__less, fact_mult__le__mono, fact_mult__le__mono1,
% 275.41/41.87 fact_mult__le__mono2, fact_mult__left_Oadd, fact_mult__left_Odiff,
% 275.41/41.87 fact_mult__left_Ominus, fact_mult__left_Ozero, fact_mult__left__idem,
% 275.41/41.87 fact_mult__left__le__imp__le, fact_mult__left__le__one__le,
% 275.41/41.87 fact_mult__left__less__imp__less, fact_mult__left__mono,
% 275.41/41.87 fact_mult__left__mono__neg, fact_mult__less__cancel1, fact_mult__less__cancel2,
% 275.41/41.87 fact_mult__less__cancel__left__disj, fact_mult__less__cancel__left__neg,
% 275.41/41.87 fact_mult__less__cancel__left__pos, fact_mult__less__cancel__right__disj,
% 275.41/41.87 fact_mult__less__imp__less__left, fact_mult__less__imp__less__right,
% 275.41/41.87 fact_mult__less__le__imp__less, fact_mult__less__mono1, fact_mult__less__mono2,
% 275.41/41.87 fact_mult__mono, fact_mult__mono_H, fact_mult__monom, fact_mult__neg__neg,
% 275.41/41.87 fact_mult__neg__pos, fact_mult__nonneg__nonneg, fact_mult__nonneg__nonpos,
% 275.41/41.87 fact_mult__nonneg__nonpos2, fact_mult__nonpos__nonneg,
% 275.41/41.87 fact_mult__nonpos__nonpos, fact_mult__pCons__left, fact_mult__pCons__right,
% 275.41/41.87 fact_mult__poly__0__left, fact_mult__poly__0__right, fact_mult__poly__add__left,
% 275.41/41.87 fact_mult__pos__neg, fact_mult__pos__neg2, fact_mult__pos__pos,
% 275.41/41.87 fact_mult__right_Oadd, fact_mult__right_Odiff, fact_mult__right_Ominus,
% 275.41/41.87 fact_mult__right_Ozero, fact_mult__right__le__imp__le,
% 275.41/41.87 fact_mult__right__le__one__le, fact_mult__right__less__imp__less,
% 275.41/41.87 fact_mult__right__mono, fact_mult__right__mono__neg, fact_mult__sgn__abs,
% 275.41/41.87 fact_mult__smult__left, fact_mult__smult__right, fact_mult__strict__left__mono,
% 275.41/41.87 fact_mult__strict__left__mono__neg, fact_mult__strict__mono,
% 275.41/41.87 fact_mult__strict__mono_H, fact_mult__strict__right__mono,
% 275.41/41.87 fact_mult__strict__right__mono__neg, fact_mult__zero__left,
% 275.41/41.87 fact_mult__zero__right, fact_nat__0__less__mult__iff, fact_nat__add__assoc,
% 275.41/41.87 fact_nat__add__commute, fact_nat__add__left__cancel,
% 275.41/41.87 fact_nat__add__left__cancel__le, fact_nat__add__left__cancel__less,
% 275.41/41.87 fact_nat__add__left__commute, fact_nat__add__right__cancel,
% 275.41/41.87 fact_nat__diff__add__eq1, fact_nat__diff__add__eq2, fact_nat__diff__split,
% 275.41/41.87 fact_nat__diff__split__asm, fact_nat__eq__add__iff1, fact_nat__eq__add__iff2,
% 275.41/41.87 fact_nat__le__add__iff1, fact_nat__le__add__iff2, fact_nat__le__linear,
% 275.41/41.87 fact_nat__less__add__iff1, fact_nat__less__add__iff2, fact_nat__less__cases,
% 275.41/41.87 fact_nat__less__le, fact_nat__mult__assoc, fact_nat__mult__commute,
% 275.41/41.87 fact_nat__mult__eq__cancel1, fact_nat__mult__eq__cancel__disj,
% 275.41/41.87 fact_nat__mult__le__cancel1, fact_nat__mult__less__cancel1, fact_nat__neq__iff,
% 275.41/41.87 fact_nat__power__less__imp__less, fact_nat__zero__less__power__iff,
% 275.41/41.87 fact_natceiling__add, fact_natceiling__le, fact_natceiling__le__eq,
% 275.41/41.87 fact_natceiling__mono, fact_natceiling__neg, fact_natceiling__real__of__nat,
% 275.41/41.87 fact_natceiling__subtract, fact_natceiling__zero, fact_natfloor__add,
% 275.41/41.87 fact_natfloor__mono, fact_natfloor__neg, fact_natfloor__real__of__nat,
% 275.41/41.87 fact_natfloor__subtract, fact_natfloor__zero, fact_neg__0__equal__iff__equal,
% 275.41/41.87 fact_neg__0__le__iff__le, fact_neg__0__less__iff__less,
% 275.41/41.87 fact_neg__equal__0__iff__equal, fact_neg__equal__iff__equal,
% 275.41/41.87 fact_neg__equal__zero, fact_neg__le__0__iff__le, fact_neg__le__iff__le,
% 275.41/41.87 fact_neg__less__0__iff__less, fact_neg__less__iff__less, fact_neg__less__nonneg,
% 275.41/41.87 fact_negative__imp__inverse__negative, fact_neq0__conv, fact_no__zero__divisors,
% 275.41/41.87 fact_nonzero__abs__inverse, fact_nonzero__imp__inverse__nonzero,
% 275.41/41.87 fact_nonzero__inverse__eq__imp__eq, fact_nonzero__inverse__inverse__eq,
% 275.41/41.87 fact_nonzero__inverse__minus__eq, fact_nonzero__inverse__mult__distrib,
% 275.41/41.87 fact_nonzero__norm__inverse, fact_nonzero__of__real__inverse,
% 275.41/41.87 fact_nonzero__power__inverse, fact_norm__add__less, fact_norm__diff__ineq,
% 275.41/41.87 fact_norm__diff__triangle__ineq, fact_norm__eq__zero, fact_norm__ge__zero,
% 275.41/41.87 fact_norm__inverse, fact_norm__le__zero__iff, fact_norm__minus__cancel,
% 275.41/41.87 fact_norm__minus__commute, fact_norm__not__less__zero, fact_norm__of__real,
% 275.41/41.87 fact_norm__triangle__ineq, fact_norm__triangle__ineq2,
% 275.41/41.87 fact_norm__triangle__ineq3, fact_norm__triangle__ineq4, fact_norm__zero,
% 275.41/41.87 fact_not__add__less1, fact_not__add__less2, fact_not__leE, fact_not__less0,
% 275.41/41.87 fact_not__less__iff__gr__or__eq, fact_not__one__le__zero,
% 275.41/41.87 fact_not__one__less__zero, fact_not__pos__poly__0,
% 275.41/41.87 fact_not__real__of__nat__less__zero, fact_not__square__less__zero,
% 275.41/41.87 fact_not__sum__squares__lt__zero, fact_odd__less__0, fact_odd__nonzero,
% 275.41/41.87 fact_of__real_Oadd, fact_of__real_Odiff, fact_of__real_Ominus,
% 275.41/41.87 fact_of__real_Ozero, fact_of__real__0, fact_of__real__add, fact_of__real__diff,
% 275.41/41.87 fact_of__real__eq__0__iff, fact_of__real__eq__iff, fact_of__real__inverse,
% 275.41/41.87 fact_of__real__minus, fact_offset__poly__0, fact_offset__poly__eq__0__iff,
% 275.41/41.87 fact_offset__poly__eq__0__lemma, fact_offset__poly__pCons, fact_one__dvd,
% 275.41/41.87 fact_one__le__inverse, fact_one__le__inverse__iff, fact_one__le__power,
% 275.41/41.87 fact_one__less__inverse, fact_one__less__inverse__iff, fact_one__less__power,
% 275.41/41.87 fact_one__neq__zero, fact_one__poly__def, fact_one__reorient,
% 275.41/41.87 fact_ord__eq__le__trans, fact_ord__eq__less__trans, fact_ord__le__eq__trans,
% 275.41/41.87 fact_ord__less__eq__trans, fact_order__1, fact_order__antisym,
% 275.41/41.87 fact_order__antisym__conv, fact_order__eq__iff, fact_order__eq__refl,
% 275.41/41.87 fact_order__le__imp__less__or__eq, fact_order__le__less,
% 275.41/41.87 fact_order__le__less__trans, fact_order__le__neq__trans, fact_order__less__asym,
% 275.41/41.87 fact_order__less__asym_H, fact_order__less__imp__le,
% 275.41/41.87 fact_order__less__imp__not__eq, fact_order__less__imp__not__eq2,
% 275.41/41.87 fact_order__less__imp__not__less, fact_order__less__irrefl,
% 275.41/41.87 fact_order__less__le, fact_order__less__le__trans, fact_order__less__not__sym,
% 275.41/41.87 fact_order__less__trans, fact_order__neq__le__trans, fact_order__refl,
% 275.41/41.87 fact_order__root, fact_order__trans, fact_pCons__0__0, fact_pCons__eq__0__iff,
% 275.41/41.87 fact_pCons__eq__iff, fact_pc0, fact_pcompose__0, fact_pcompose__pCons,
% 275.41/41.87 fact_plus__nat_Oadd__0, fact_poly__0, fact_poly__1, fact_poly__add,
% 275.41/41.87 fact_poly__cont, fact_poly__diff, fact_poly__eq__iff, fact_poly__minus,
% 275.41/41.87 fact_poly__monom, fact_poly__mult, fact_poly__pCons, fact_poly__pcompose,
% 275.41/41.87 fact_poly__power, fact_poly__replicate__append, fact_poly__smult,
% 275.41/41.87 fact_poly__zero, fact_pos__add__strict, fact_pos__poly__add,
% 275.41/41.87 fact_pos__poly__mult, fact_pos__poly__pCons, fact_pos__poly__total,
% 275.41/41.87 fact_pos__zmult__eq__1__iff, fact_positive__imp__inverse__positive,
% 275.41/41.87 fact_power_Opower_Opower__0, fact_power__0, fact_power__0__left,
% 275.41/41.87 fact_power__Suc__less, fact_power__abs, fact_power__add, fact_power__commutes,
% 275.41/41.87 fact_power__decreasing, fact_power__eq__0__iff, fact_power__eq__imp__eq__base,
% 275.41/41.87 fact_power__gt1__lemma, fact_power__increasing, fact_power__increasing__iff,
% 275.41/41.87 fact_power__inject__exp, fact_power__inverse, fact_power__le__imp__le__exp,
% 275.41/41.87 fact_power__less__imp__less__base, fact_power__less__imp__less__exp,
% 275.41/41.87 fact_power__less__power__Suc, fact_power__minus, fact_power__mono,
% 275.41/41.87 fact_power__mult, fact_power__mult__distrib, fact_power__one,
% 275.41/41.87 fact_power__power__power, fact_power__strict__decreasing,
% 275.41/41.87 fact_power__strict__increasing, fact_power__strict__increasing__iff,
% 275.41/41.87 fact_power__strict__mono, fact_pqc0, fact_psize__eq__0__iff, fact_q_I1_J,
% 275.41/41.87 fact_q_I2_J, fact_q__neg__lemma, fact_q__pos__lemma, fact_qnc, fact_r01,
% 275.41/41.87 fact_real__0__le__add__iff, fact_real__0__less__add__iff, fact_real__abs__def,
% 275.41/41.87 fact_real__add__eq__0__iff, fact_real__add__le__0__iff,
% 275.41/41.87 fact_real__add__left__mono, fact_real__add__less__0__iff,
% 275.41/41.87 fact_real__add__minus__iff, fact_real__diff__def, fact_real__le__antisym,
% 275.41/41.87 fact_real__le__eq__diff, fact_real__le__linear, fact_real__le__refl,
% 275.41/41.87 fact_real__le__trans, fact_real__less__def, fact_real__natceiling__ge,
% 275.41/41.87 fact_real__natfloor__le, fact_real__norm__def, fact_real__of__nat__add,
% 275.41/41.87 fact_real__of__nat__diff, fact_real__of__nat__ge__zero,
% 275.41/41.87 fact_real__of__nat__gt__zero__cancel__iff, fact_real__of__nat__inject,
% 275.41/41.87 fact_real__of__nat__le__iff, fact_real__of__nat__le__zero__cancel__iff,
% 275.41/41.87 fact_real__of__nat__less__iff, fact_real__of__nat__zero,
% 275.41/41.87 fact_real__of__nat__zero__iff, fact_real__squared__diff__one__factored,
% 275.41/41.87 fact_right__inverse, fact_right__minus, fact_right__minus__eq, fact_rnc,
% 275.41/41.87 fact_self__quotient__aux1, fact_self__quotient__aux2, fact_sgn0, fact_sgn__0__0,
% 275.41/41.87 fact_sgn__1__neg, fact_sgn__1__pos, fact_sgn__greater, fact_sgn__if,
% 275.41/41.87 fact_sgn__less, fact_sgn__minus, fact_sgn__mult, fact_sgn__neg,
% 275.41/41.87 fact_sgn__of__real, fact_sgn__one, fact_sgn__poly__def, fact_sgn__pos,
% 275.41/41.87 fact_sgn__sgn, fact_sgn__times, fact_sgn__zero, fact_sgn__zero__iff,
% 275.41/41.87 fact_smult__0__left, fact_smult__0__right, fact_smult__1__left,
% 275.41/41.87 fact_smult__add__left, fact_smult__add__right, fact_smult__diff__left,
% 275.41/41.87 fact_smult__diff__right, fact_smult__dvd__cancel, fact_smult__eq__0__iff,
% 275.41/41.87 fact_smult__minus__left, fact_smult__minus__right, fact_smult__monom,
% 275.41/41.87 fact_smult__pCons, fact_smult__smult, fact_split__mult__neg__le,
% 275.41/41.87 fact_split__mult__pos__le, fact_square__eq__1__iff, fact_square__eq__iff,
% 275.41/41.87 fact_sum__squares__eq__zero__iff, fact_sum__squares__ge__zero,
% 275.41/41.87 fact_sum__squares__gt__zero__iff, fact_sum__squares__le__zero__iff,
% 275.41/41.87 fact_synthetic__div__0, fact_synthetic__div__correct,
% 275.41/41.87 fact_synthetic__div__correct_H, fact_synthetic__div__pCons,
% 275.41/41.87 fact_synthetic__div__unique, fact_synthetic__div__unique__lemma, fact_t_I1_J,
% 275.41/41.87 fact_termination__basic__simps_I1_J, fact_termination__basic__simps_I2_J,
% 275.41/41.87 fact_termination__basic__simps_I3_J, fact_termination__basic__simps_I4_J,
% 275.41/41.87 fact_termination__basic__simps_I5_J, fact_times_Oidem, fact_trans__le__add1,
% 275.41/41.87 fact_trans__le__add2, fact_trans__less__add1, fact_trans__less__add2,
% 275.41/41.87 fact_tsub__def, fact_tsub__eq, fact_uminus__apply, fact_unique__quotient__lemma,
% 275.41/41.87 fact_unique__quotient__lemma__neg, fact_unity__coeff__ex, fact_w0,
% 275.41/41.87 fact_xt1_I10_J, fact_xt1_I11_J, fact_xt1_I12_J, fact_xt1_I1_J, fact_xt1_I2_J,
% 275.41/41.87 fact_xt1_I3_J, fact_xt1_I4_J, fact_xt1_I5_J, fact_xt1_I6_J, fact_xt1_I8_J,
% 275.41/41.87 fact_xt1_I9_J, fact_zabs__def, fact_zabs__less__one__iff, fact_zadd__0,
% 275.41/41.87 fact_zadd__0__right, fact_zadd__assoc, fact_zadd__commute,
% 275.41/41.87 fact_zadd__left__commute, fact_zadd__left__mono, fact_zadd__strict__right__mono,
% 275.41/41.87 fact_zadd__zless__mono, fact_zadd__zminus__inverse2, fact_zadd__zmult__distrib,
% 275.41/41.87 fact_zadd__zmult__distrib2, fact_zdiff__zmult__distrib,
% 275.41/41.87 fact_zdiff__zmult__distrib2, fact_zdiv__mono2__lemma,
% 275.41/41.87 fact_zdiv__mono2__neg__lemma,
% 275.41/41.87 fact_zero__le__double__add__iff__zero__le__single__add,
% 275.41/41.87 fact_zero__le__mult__iff, fact_zero__le__natceiling, fact_zero__le__natfloor,
% 275.41/41.87 fact_zero__le__one, fact_zero__le__power, fact_zero__le__power__abs,
% 275.41/41.87 fact_zero__le__square, fact_zero__le__zpower__abs, fact_zero__less__abs__iff,
% 275.41/41.87 fact_zero__less__diff,
% 275.41/41.87 fact_zero__less__double__add__iff__zero__less__single__add,
% 275.41/41.87 fact_zero__less__mult__pos, fact_zero__less__mult__pos2,
% 275.41/41.87 fact_zero__less__norm__iff, fact_zero__less__one, fact_zero__less__power,
% 275.41/41.87 fact_zero__less__power__nat__eq, fact_zero__less__two,
% 275.41/41.87 fact_zero__less__zpower__abs__iff, fact_zero__neq__one, fact_zero__reorient,
% 275.41/41.87 fact_zle__add1__eq__le, fact_zle__antisym, fact_zle__diff1__eq,
% 275.41/41.87 fact_zle__linear, fact_zle__refl, fact_zle__trans, fact_zless__add1__eq,
% 275.41/41.87 fact_zless__imp__add1__zle, fact_zless__le, fact_zless__linear, fact_zminus__0,
% 275.41/41.87 fact_zminus__zadd__distrib, fact_zminus__zminus, fact_zmult__1,
% 275.41/41.87 fact_zmult__1__right, fact_zmult__assoc, fact_zmult__commute,
% 275.41/41.87 fact_zmult__zless__mono2, fact_zmult__zminus, fact_zpower__zadd__distrib,
% 275.41/41.87 fact_zpower__zpower
% 275.41/41.87
% 275.41/41.87 Those formulas are unsatisfiable:
% 275.41/41.87 ---------------------------------
% 275.41/41.87
% 275.41/41.87 Begin of proof
% 275.41/41.88 |
% 275.41/41.88 | ALPHA: (fact_t_I2_J) implies:
% 275.41/41.88 | (1) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 275.41/41.88 | $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_t____,
% 275.41/41.88 | v0))
% 275.41/41.88 |
% 275.41/41.88 | ALPHA: (fact_complex__of__real__power) implies:
% 275.41/41.88 | (2) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.88 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 &
% 275.41/41.88 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v0 & $i(v1) &
% 275.41/41.88 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 275.41/41.88 | [v6: $i] : ( ~ (c_RealVector_Oof__real(tc_Complex_Ocomplex, v3) = v4)
% 275.41/41.88 | | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v0, v4) = v5) | ~ $i(v3) | ~
% 275.41/41.88 | $i(v2) | ? [v7: $i] : ? [v8: $i] :
% 275.41/41.88 | (c_RealVector_Oof__real(tc_Complex_Ocomplex, v8) = v6 & hAPP(v7,
% 275.41/41.88 | v2) = v8 & hAPP(v1, v3) = v7 & $i(v8) & $i(v7) & $i(v6))))
% 275.41/41.88 |
% 275.41/41.88 | ALPHA: (fact_tw) implies:
% 275.41/41.88 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 275.41/41.88 | ? [v5: $i] : (c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v0 &
% 275.41/41.88 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 275.41/41.88 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v5 &
% 275.41/41.88 | c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v1 & hAPP(v2,
% 275.41/41.88 | v_w____) = v3 & hAPP(v0, v1) = v2 & $i(v5) & $i(v4) & $i(v3) &
% 275.41/41.88 | $i(v2) & $i(v1) & $i(v0) &
% 275.41/41.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5))
% 275.41/41.88 |
% 275.41/41.88 | ALPHA: (fact__0960_A_060_At_A_094_Ak_096) implies:
% 275.41/41.88 | (4) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 275.41/41.88 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 &
% 275.41/41.88 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & hAPP(v2,
% 275.41/41.88 | v_k____) = v3 & hAPP(v1, v_t____) = v2 & $i(v3) & $i(v2) & $i(v1) &
% 275.41/41.88 | $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3))
% 275.41/41.88 |
% 275.41/41.88 | ALPHA: (fact_of__real__power) implies:
% 275.41/41.88 | (5) ? [v0: $i] : (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 275.41/41.88 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 275.41/41.88 | [v5: $i] : ! [v6: $i] : ( ~ (c_RealVector_Oof__real(v3, v5) = v6) |
% 275.41/41.88 | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v0, v2) = v4) | ~ $i(v3) | ~
% 275.41/41.88 | $i(v2) | ~ $i(v1) | ~ class_RealVector_Oreal__algebra__1(v3) | ?
% 275.41/41.88 | [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 275.41/41.88 | (c_Power_Opower__class_Opower(v3) = v7 & c_RealVector_Oof__real(v3,
% 275.41/41.88 | v2) = v8 & hAPP(v9, v1) = v6 & hAPP(v7, v8) = v9 & $i(v9) &
% 275.41/41.88 | $i(v8) & $i(v7) & $i(v6))))
% 275.41/41.88 |
% 275.41/41.88 | ALPHA: (fact_norm__power) implies:
% 275.41/41.88 | (6) ? [v0: $i] : (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 275.41/41.88 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 275.41/41.88 | [v5: $i] : ! [v6: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v3, v2)
% 275.41/41.88 | = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v0, v4) = v5) | ~
% 275.41/41.88 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 275.41/41.88 | class_RealVector_Oreal__normed__div__algebra(v3) | ? [v7: $i] : ?
% 275.41/41.88 | [v8: $i] : ? [v9: $i] : (c_RealVector_Onorm__class_Onorm(v3, v9) =
% 275.41/41.88 | v6 & c_Power_Opower__class_Opower(v3) = v7 & hAPP(v8, v1) = v9 &
% 275.41/41.88 | hAPP(v7, v2) = v8 & $i(v9) & $i(v8) & $i(v7) & $i(v6))))
% 275.41/41.88 |
% 275.41/41.88 | ALPHA: (fact_norm__mult__less) implies:
% 275.41/41.88 | (7) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 275.41/41.88 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 275.41/41.88 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : !
% 275.41/41.88 | [v10: $i] : ! [v11: $i] : ( ~ (c_Groups_Otimes__class_Otimes(v5) =
% 275.41/41.88 | v6) | ~ (c_RealVector_Onorm__class_Onorm(v5, v8) = v9) | ~
% 275.41/41.88 | (hAPP(v10, v1) = v11) | ~ (hAPP(v7, v2) = v8) | ~ (hAPP(v6, v4) =
% 275.41/41.88 | v7) | ~ (hAPP(v0, v3) = v10) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3)
% 275.41/41.88 | | ~ $i(v2) | ~ $i(v1) | ~
% 275.41/41.88 | class_RealVector_Oreal__normed__algebra(v5) |
% 275.41/41.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v11) | ? [v12:
% 275.41/41.88 | $i] : ? [v13: $i] : ((c_RealVector_Onorm__class_Onorm(v5, v4) =
% 275.41/41.88 | v12 & $i(v12) & ~
% 275.41/41.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v3)) |
% 275.41/41.88 | (c_RealVector_Onorm__class_Onorm(v5, v2) = v13 & $i(v13) & ~
% 275.41/41.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v1)))))
% 275.41/41.88 |
% 275.41/41.88 | ALPHA: (fact_m_I2_J) implies:
% 275.41/41.88 | (8) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.88 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v0 &
% 275.41/41.88 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v1 & $i(v1) &
% 275.41/41.88 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~ (hAPP(v1, v2) = v3) | ~
% 275.41/41.88 | $i(v2) | ? [v4: $i] : ? [v5: $i] :
% 275.41/41.88 | ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v5 &
% 275.41/41.88 | $i(v5) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 275.41/41.88 | v5, v_m____)) |
% 275.41/41.88 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v4 &
% 275.41/41.88 | $i(v4) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 275.41/41.88 | v4, v0)))))
% 275.41/41.88 |
% 275.41/41.88 | ALPHA: (fact_of__real__mult) implies:
% 275.41/41.88 | (9) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 275.41/41.88 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 275.41/41.88 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 275.41/41.88 | (c_Groups_Otimes__class_Otimes(v3) = v4) | ~
% 275.41/41.88 | (c_RealVector_Oof__real(v3, v2) = v5) | ~
% 275.41/41.88 | (c_RealVector_Oof__real(v3, v1) = v7) | ~ (hAPP(v6, v7) = v8) | ~
% 275.41/41.88 | (hAPP(v4, v5) = v6) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 275.41/41.88 | class_RealVector_Oreal__algebra__1(v3) | ? [v9: $i] : ? [v10: $i]
% 275.41/41.88 | : (c_RealVector_Oof__real(v3, v10) = v8 & hAPP(v9, v1) = v10 &
% 275.41/41.88 | hAPP(v0, v2) = v9 & $i(v10) & $i(v9) & $i(v8))))
% 275.41/41.88 |
% 275.41/41.88 | ALPHA: (fact_norm__mult) implies:
% 275.41/41.89 | (10) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 275.41/41.89 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 275.41/41.89 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 275.41/41.89 | (c_RealVector_Onorm__class_Onorm(v3, v2) = v4) | ~
% 275.41/41.89 | (c_RealVector_Onorm__class_Onorm(v3, v1) = v6) | ~ (hAPP(v5, v6)
% 275.41/41.89 | = v7) | ~ (hAPP(v0, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~
% 275.41/41.89 | $i(v1) | ~ class_RealVector_Oreal__normed__div__algebra(v3) | ?
% 275.41/41.89 | [v8: $i] : ? [v9: $i] : ? [v10: $i] :
% 275.41/41.89 | (c_Groups_Otimes__class_Otimes(v3) = v8 &
% 275.41/41.89 | c_RealVector_Onorm__class_Onorm(v3, v10) = v7 & hAPP(v9, v1) =
% 275.41/41.89 | v10 & hAPP(v8, v2) = v9 & $i(v10) & $i(v9) & $i(v8) & $i(v7))))
% 275.41/41.89 |
% 275.41/41.89 | ALPHA: (fact__096t_A_K_Acmod_Aw_A_060_061_A1_A_K_Acmod_Aw_096) implies:
% 275.41/41.89 | (11) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 275.41/41.89 | ? [v5: $i] : ? [v6: $i] :
% 275.41/41.89 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 275.41/41.89 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v2 &
% 275.41/41.89 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v4 & hAPP(v5, v2) = v6
% 275.41/41.89 | & hAPP(v1, v2) = v3 & hAPP(v0, v4) = v5 & hAPP(v0, v_t____) = v1 &
% 275.41/41.89 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 275.41/41.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v6))
% 275.41/41.89 |
% 275.41/41.89 | ALPHA: (fact_of__real__1) implies:
% 275.41/41.89 | (12) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 275.41/41.89 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_RealVector_Oof__real(v1,
% 275.41/41.89 | v0) = v2) | ~ $i(v1) | ~
% 275.41/41.89 | class_RealVector_Oreal__algebra__1(v1) |
% 275.41/41.89 | (c_Groups_Oone__class_Oone(v1) = v2 & $i(v2))))
% 275.41/41.89 |
% 275.41/41.89 | ALPHA: (fact_norm__one) implies:
% 275.41/41.89 | (13) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 275.41/41.89 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 275.41/41.89 | (c_RealVector_Onorm__class_Onorm(v1, v2) = v3) | ~
% 275.41/41.89 | (c_Groups_Oone__class_Oone(v1) = v2) | ~ $i(v1) | ~
% 275.41/41.89 | class_RealVector_Oreal__normed__algebra__1(v1)))
% 275.41/41.89 |
% 275.41/41.89 | ALPHA: (fact_norm__mult__ineq) implies:
% 275.41/41.89 | (14) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 275.41/41.89 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 275.41/41.89 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 275.41/41.89 | (c_RealVector_Onorm__class_Onorm(v3, v2) = v4) | ~
% 275.41/41.89 | (c_RealVector_Onorm__class_Onorm(v3, v1) = v6) | ~ (hAPP(v5, v6)
% 275.41/41.89 | = v7) | ~ (hAPP(v0, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~
% 275.41/41.89 | $i(v1) | ~ class_RealVector_Oreal__normed__algebra(v3) | ? [v8:
% 275.41/41.89 | $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] :
% 275.41/41.89 | (c_Groups_Otimes__class_Otimes(v3) = v8 &
% 275.41/41.89 | c_RealVector_Onorm__class_Onorm(v3, v10) = v11 & hAPP(v9, v1) =
% 275.41/41.89 | v10 & hAPP(v8, v2) = v9 & $i(v11) & $i(v10) & $i(v9) & $i(v8) &
% 275.41/41.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v11, v7))))
% 275.41/41.89 |
% 275.41/41.89 | ALPHA: (fact_norm__power__ineq) implies:
% 275.41/41.89 | (15) ? [v0: $i] : (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 275.41/41.89 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 275.41/41.89 | [v5: $i] : ! [v6: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v3,
% 275.41/41.89 | v2) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v0, v4) = v5) |
% 275.41/41.89 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 275.41/41.89 | class_RealVector_Oreal__normed__algebra__1(v3) | ? [v7: $i] : ?
% 275.41/41.89 | [v8: $i] : ? [v9: $i] : ? [v10: $i] :
% 275.41/41.89 | (c_RealVector_Onorm__class_Onorm(v3, v9) = v10 &
% 275.41/41.89 | c_Power_Opower__class_Opower(v3) = v7 & hAPP(v8, v1) = v9 &
% 275.41/41.89 | hAPP(v7, v2) = v8 & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 275.41/41.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v6))))
% 275.41/41.89 |
% 275.41/41.89 | ALPHA: (fact__096cmod_A_I_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_060_061_At_A_094_Ak_A_K_A_It_A_K_A_Icmod_Aw_A_094_A_Ik_A_L_A1_J_A_K_Am_J_J_096)
% 275.41/41.89 | implies:
% 275.41/41.89 | (16) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 275.41/41.89 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 275.41/41.89 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 275.41/41.89 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 275.41/41.89 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 275.41/41.89 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 275.41/41.89 | $i] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v22) = v23
% 275.41/41.89 | & c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v14 &
% 275.41/41.89 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v0 &
% 275.41/41.89 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v12) = v13 &
% 275.41/41.89 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v20
% 275.41/41.89 | & c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v15 &
% 275.41/41.89 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v1 &
% 275.41/41.89 | c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v2 &
% 275.41/41.89 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v22 &
% 275.41/41.89 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v10 & hAPP(v25,
% 275.41/41.89 | v_m____) = v26 & hAPP(v21, v23) = v24 & hAPP(v19, v26) = v27 &
% 275.41/41.89 | hAPP(v18, v27) = v28 & hAPP(v16, v_k____) = v17 & hAPP(v15, v20) =
% 275.41/41.89 | v21 & hAPP(v15, v_t____) = v16 & hAPP(v14, v24) = v25 & hAPP(v14,
% 275.41/41.89 | v17) = v18 & hAPP(v14, v_t____) = v19 & hAPP(v10, v4) = v11 &
% 275.41/41.89 | hAPP(v9, v11) = v12 & hAPP(v7, v4) = v8 & hAPP(v5, v_k____) = v6 &
% 275.41/41.89 | hAPP(v3, v_w____) = v4 & hAPP(v1, v4) = v5 & hAPP(v0, v8) = v9 &
% 275.41/41.89 | hAPP(v0, v6) = v7 & hAPP(v0, v2) = v3 & $i(v28) & $i(v27) & $i(v26)
% 275.41/41.89 | & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) &
% 275.41/41.89 | $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13)
% 275.41/41.89 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 275.41/41.89 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 275.41/41.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v13, v28))
% 275.41/41.89 |
% 275.41/41.89 | ALPHA: (fact_th30) implies:
% 275.41/41.89 | (17) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 275.41/41.89 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 275.41/41.89 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 275.41/41.89 | $i] : ? [v15: $i] : ? [v16: $i] :
% 275.41/41.89 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v8) = v9 &
% 275.41/41.89 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 275.41/41.89 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v6 &
% 275.41/41.89 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 &
% 275.41/41.89 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v15 &
% 275.41/41.89 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v8 & hAPP(v11, v_m____) =
% 275.41/41.89 | v12 & hAPP(v7, v9) = v10 & hAPP(v5, v12) = v13 & hAPP(v4, v15) = v16
% 275.41/41.89 | & hAPP(v4, v13) = v14 & hAPP(v2, v_k____) = v3 & hAPP(v1, v6) = v7 &
% 275.41/41.89 | hAPP(v1, v_t____) = v2 & hAPP(v0, v10) = v11 & hAPP(v0, v3) = v4 &
% 275.41/41.89 | hAPP(v0, v_t____) = v5 & $i(v16) & $i(v15) & $i(v14) & $i(v13) &
% 275.41/41.89 | $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 275.41/41.89 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 275.41/41.89 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v14, v16))
% 275.41/41.89 |
% 275.41/41.89 | ALPHA: (fact_norm__ratiotest__lemma) implies:
% 275.41/41.90 | (18) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.90 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.90 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 275.41/41.90 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 275.41/41.90 | $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 275.41/41.90 | (c_RealVector_Onorm__class_Onorm(v5, v3) = v6) | ~
% 275.41/41.90 | (c_RealVector_Onorm__class_Onorm(v5, v2) = v8) | ~ (hAPP(v7, v8)
% 275.41/41.90 | = v9) | ~ (hAPP(v1, v4) = v7) | ~ $i(v5) | ~ $i(v4) | ~
% 275.41/41.90 | $i(v3) | ~ $i(v2) | ~ class_RealVector_Oreal__normed__vector(v5)
% 275.41/41.90 | | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v9) |
% 275.41/41.90 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v0) |
% 275.41/41.90 | c_Groups_Ozero__class_Ozero(v5) = v3))
% 275.41/41.90 |
% 275.41/41.90 | ALPHA: (fact__096_B_Bd2_O_A0_A_060_Ad2_A_061_061_062_AEX_Ae_0620_O_Ae_A_060_A1_A_G_Ae_A_060_Ad2_096)
% 275.41/41.90 | implies:
% 275.41/41.90 | (19) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.90 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 275.41/41.90 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 275.41/41.90 | & ! [v2: $i] : ( ~ $i(v2) | ~
% 275.41/41.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) | ? [v3:
% 275.41/41.90 | $i] : ($i(v3) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 275.41/41.90 | v3, v2) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3,
% 275.41/41.90 | v1) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 275.41/41.90 | v3))))
% 275.41/41.90 |
% 275.41/41.90 | ALPHA: (fact_real__mult__le__cancel__iff1) implies:
% 275.41/41.90 | (20) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.90 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.90 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 275.41/41.90 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 275.41/41.90 | $i] : ! [v7: $i] : ! [v8: $i] : ( ~ (hAPP(v7, v4) = v8) | ~
% 275.41/41.90 | (hAPP(v5, v4) = v6) | ~ (hAPP(v1, v3) = v5) | ~ (hAPP(v1, v2) =
% 275.41/41.90 | v7) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 275.41/41.90 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v8) | ~
% 275.41/41.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 275.41/41.90 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2)) & !
% 275.41/41.90 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 275.41/41.90 | ! [v7: $i] : ! [v8: $i] : ( ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v5,
% 275.41/41.90 | v4) = v6) | ~ (hAPP(v1, v3) = v5) | ~ (hAPP(v1, v2) = v7) |
% 275.41/41.90 | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 275.41/41.90 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2) | ~
% 275.41/41.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 275.41/41.90 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v8)))
% 275.41/41.90 |
% 275.41/41.90 | ALPHA: (fact_real__mult__le__cancel__iff2) implies:
% 275.41/41.90 | (21) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.90 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.90 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 275.41/41.90 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 275.41/41.90 | $i] : ! [v7: $i] : ( ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) =
% 275.41/41.90 | v7) | ~ (hAPP(v1, v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2)
% 275.41/41.90 | | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v7) |
% 275.41/41.90 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 275.41/41.90 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2)) & !
% 275.41/41.90 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 275.41/41.90 | ! [v7: $i] : ( ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v7) | ~
% 275.41/41.90 | (hAPP(v1, v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 275.41/41.90 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2) | ~
% 275.41/41.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 275.41/41.90 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v7)))
% 275.41/41.90 |
% 275.41/41.90 | ALPHA: (fact_kn) implies:
% 275.41/41.90 | (22) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ( ~ (v2 = v0) &
% 275.41/41.90 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 275.41/41.90 | v_pa____) = v0 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____,
% 275.41/41.90 | v1) = v2 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v2) &
% 275.41/41.90 | $i(v1) & $i(v0))
% 275.41/41.90 |
% 275.41/41.90 | ALPHA: (fact__096t_A_K_A_Icmod_Aw_A_094_A_Ik_A_L_A1_J_A_K_Am_J_A_060_A1_096)
% 275.41/41.90 | implies:
% 275.41/41.90 | (23) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 275.41/41.90 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 275.41/41.90 | ? [v10: $i] : ? [v11: $i] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,
% 275.41/41.90 | v_k____, v5) = v6 &
% 275.41/41.90 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 275.41/41.90 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v3 &
% 275.41/41.90 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v2 &
% 275.41/41.90 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v11 &
% 275.41/41.90 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v5 & hAPP(v8, v_m____) = v9
% 275.41/41.90 | & hAPP(v4, v6) = v7 & hAPP(v2, v3) = v4 & hAPP(v1, v9) = v10 &
% 275.41/41.90 | hAPP(v0, v7) = v8 & hAPP(v0, v_t____) = v1 & $i(v11) & $i(v10) &
% 275.41/41.90 | $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 275.41/41.90 | $i(v2) & $i(v1) & $i(v0) &
% 275.41/41.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v11))
% 275.41/41.90 |
% 275.41/41.90 | ALPHA: (fact__096cmod_A_I_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_A_061t_A_094_Ak_A_K_A_It_A_K_A_Icmod_Aw_A_094_A_Ik_A_L_A1_J_A_K_Acmod_A_Ipoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_J_J_096)
% 275.41/41.90 | implies:
% 275.41/41.90 | (24) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 275.41/41.90 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 275.41/41.90 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 275.41/41.90 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 275.41/41.90 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 275.41/41.90 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 275.41/41.90 | $i] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v22) = v23
% 275.41/41.90 | & c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v14 &
% 275.41/41.90 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v0 &
% 275.41/41.90 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v12) = v13 &
% 275.41/41.90 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v11) = v26 &
% 275.41/41.90 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v20
% 275.41/41.90 | & c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v15 &
% 275.41/41.90 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v1 &
% 275.41/41.90 | c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v2 &
% 275.41/41.90 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v22 &
% 275.41/41.90 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v10 & hAPP(v25,
% 275.41/41.90 | v26) = v27 & hAPP(v21, v23) = v24 & hAPP(v19, v27) = v28 &
% 275.41/41.90 | hAPP(v18, v28) = v13 & hAPP(v16, v_k____) = v17 & hAPP(v15, v20) =
% 275.41/41.90 | v21 & hAPP(v15, v_t____) = v16 & hAPP(v14, v24) = v25 & hAPP(v14,
% 275.41/41.90 | v17) = v18 & hAPP(v14, v_t____) = v19 & hAPP(v10, v4) = v11 &
% 275.41/41.90 | hAPP(v9, v11) = v12 & hAPP(v7, v4) = v8 & hAPP(v5, v_k____) = v6 &
% 275.41/41.90 | hAPP(v3, v_w____) = v4 & hAPP(v1, v4) = v5 & hAPP(v0, v8) = v9 &
% 275.41/41.90 | hAPP(v0, v6) = v7 & hAPP(v0, v2) = v3 & $i(v28) & $i(v27) & $i(v26)
% 275.41/41.90 | & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) &
% 275.41/41.90 | $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13)
% 275.41/41.90 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 275.41/41.90 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 275.41/41.90 |
% 275.41/41.90 | ALPHA: (fact_t_I3_J) implies:
% 275.41/41.90 | (25) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 275.41/41.90 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 275.41/41.90 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v8) = v9 &
% 275.41/41.90 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v4) = v5 &
% 275.41/41.90 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 275.41/41.90 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v2 &
% 275.41/41.90 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 &
% 275.41/41.90 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v4 & hAPP(v7, v_m____) = v8
% 275.41/41.90 | & hAPP(v3, v5) = v6 & hAPP(v1, v2) = v3 & hAPP(v0, v6) = v7 & $i(v9)
% 275.41/41.90 | & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 275.41/41.90 | $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 275.41/41.90 | v_t____, v9))
% 275.41/41.90 |
% 275.41/41.90 | ALPHA: (fact_power__one__right) implies:
% 275.41/41.90 | (26) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v0) &
% 275.41/41.90 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 275.41/41.90 | (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v3, v1) = v4) |
% 275.41/41.90 | ~ $i(v2) | ~ $i(v1) | ~ class_Groups_Omonoid__mult(v2) |
% 275.41/41.90 | hAPP(v4, v0) = v1))
% 275.41/41.90 |
% 275.41/41.90 | ALPHA: (fact_real__mult__assoc) implies:
% 275.41/41.90 | (27) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 275.41/41.90 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 275.41/41.90 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ (hAPP(v6, v1) = v7) | ~
% 275.41/41.90 | (hAPP(v4, v2) = v5) | ~ (hAPP(v0, v5) = v6) | ~ (hAPP(v0, v3) =
% 275.41/41.90 | v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v8: $i] : ? [v9:
% 275.41/41.90 | $i] : (hAPP(v8, v1) = v9 & hAPP(v4, v9) = v7 & hAPP(v0, v2) = v8
% 275.41/41.90 | & $i(v9) & $i(v8) & $i(v7))))
% 275.41/41.90 |
% 275.41/41.90 | ALPHA: (fact_real__mult__commute) implies:
% 275.41/41.91 | (28) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 275.41/41.91 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 275.41/41.91 | (hAPP(v3, v2) = v4) | ~ (hAPP(v0, v1) = v3) | ~ $i(v2) | ~
% 275.41/41.91 | $i(v1) | ? [v5: $i] : (hAPP(v5, v1) = v4 & hAPP(v0, v2) = v5 &
% 275.41/41.91 | $i(v5) & $i(v4))))
% 275.41/41.91 |
% 275.41/41.91 | ALPHA: (fact_real__mult__left__cancel) implies:
% 275.41/41.91 | (29) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.91 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.91 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 275.41/41.91 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 275.41/41.91 | $i] : (v4 = v0 | v3 = v2 | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5,
% 275.41/41.91 | v2) = v6) | ~ (hAPP(v1, v4) = v5) | ~ $i(v4) | ~ $i(v3) |
% 275.41/41.91 | ~ $i(v2)))
% 275.41/41.91 |
% 275.41/41.91 | ALPHA: (fact_real__mult__right__cancel) implies:
% 275.41/41.91 | (30) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.91 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.91 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 275.41/41.91 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 275.41/41.91 | $i] : ! [v7: $i] : (v4 = v0 | v3 = v2 | ~ (hAPP(v7, v4) = v6) |
% 275.41/41.91 | ~ (hAPP(v5, v4) = v6) | ~ (hAPP(v1, v3) = v5) | ~ (hAPP(v1, v2)
% 275.41/41.91 | = v7) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2)))
% 275.41/41.91 |
% 275.41/41.91 | ALPHA: (fact_real__zero__not__eq__one) implies:
% 275.41/41.91 | (31) ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 275.41/41.91 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 275.41/41.91 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) &
% 275.41/41.91 | $i(v0))
% 275.41/41.91 |
% 275.41/41.91 | ALPHA: (fact_real__mult__1) implies:
% 275.41/41.91 | (32) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 275.41/41.91 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 275.41/41.91 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & hAPP(v0, v1) = v2
% 275.41/41.91 | & $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : (v4 = v3 |
% 275.41/41.91 | ~ (hAPP(v2, v3) = v4) | ~ $i(v3)))
% 275.41/41.91 |
% 275.41/41.91 | ALPHA: (fact_real__mult__less__mono2) implies:
% 275.41/41.91 | (33) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.91 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.91 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 275.41/41.91 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 275.41/41.91 | $i] : ! [v7: $i] : ( ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) =
% 275.41/41.91 | v7) | ~ (hAPP(v1, v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2)
% 275.41/41.91 | | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2) | ~
% 275.41/41.91 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 275.41/41.91 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v7)))
% 275.41/41.91 |
% 275.41/41.91 | ALPHA: (fact_real__mult__order) implies:
% 275.41/41.91 | (34) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.91 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.91 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 275.41/41.91 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 275.41/41.91 | (hAPP(v4, v2) = v5) | ~ (hAPP(v1, v3) = v4) | ~ $i(v3) | ~
% 275.41/41.91 | $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 275.41/41.91 | v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2)
% 275.41/41.91 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5)))
% 275.41/41.91 |
% 275.41/41.91 | ALPHA: (fact_real__mult__less__iff1) implies:
% 275.41/41.91 | (35) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.91 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.91 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 275.41/41.91 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 275.41/41.91 | $i] : ! [v7: $i] : ! [v8: $i] : ( ~ (hAPP(v7, v4) = v8) | ~
% 275.41/41.91 | (hAPP(v5, v4) = v6) | ~ (hAPP(v1, v3) = v5) | ~ (hAPP(v1, v2) =
% 275.41/41.91 | v7) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 275.41/41.91 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v8) | ~
% 275.41/41.91 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 275.41/41.91 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2)) & ! [v2:
% 275.41/41.91 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 275.41/41.91 | [v7: $i] : ! [v8: $i] : ( ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v5, v4)
% 275.41/41.91 | = v6) | ~ (hAPP(v1, v3) = v5) | ~ (hAPP(v1, v2) = v7) | ~
% 275.41/41.91 | $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 275.41/41.91 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2) | ~
% 275.41/41.91 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 275.41/41.91 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v8)))
% 275.41/41.91 |
% 275.41/41.91 | ALPHA: (fact_k1n) implies:
% 275.41/41.91 | (36) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 275.41/41.91 | (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 275.41/41.91 | v_pa____) = v2 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____,
% 275.41/41.91 | v0) = v1 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v2) &
% 275.41/41.91 | $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1,
% 275.41/41.91 | v2))
% 275.41/41.91 |
% 275.41/41.91 | ALPHA: (fact_inv0) implies:
% 275.41/41.91 | (37) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 275.41/41.91 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 275.41/41.91 | ? [v10: $i] : (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v9)
% 275.41/41.91 | = v10 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v5) = v6 &
% 275.41/41.91 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.91 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v3 &
% 275.41/41.91 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v2 &
% 275.41/41.91 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v5 &
% 275.41/41.91 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & hAPP(v8,
% 275.41/41.91 | v_m____) = v9 & hAPP(v4, v6) = v7 & hAPP(v2, v3) = v4 & hAPP(v1,
% 275.41/41.91 | v7) = v8 & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 275.41/41.91 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 275.41/41.91 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v10))
% 275.41/41.91 |
% 275.41/41.91 | ALPHA: (fact_w) implies:
% 275.41/41.91 | (38) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 275.41/41.91 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 275.41/41.91 | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v6) = v7 &
% 275.41/41.91 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 275.41/41.91 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 275.41/41.91 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 275.41/41.91 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v7 & hAPP(v5,
% 275.41/41.91 | v_a____) = v6 & hAPP(v3, v_k____) = v4 & hAPP(v2, v_w____) = v3 &
% 275.41/41.91 | hAPP(v1, v4) = v5 & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 275.41/41.91 | $i(v2) & $i(v1) & $i(v0))
% 275.41/41.91 |
% 275.41/41.91 | ALPHA: (fact__0961_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_Ia_A_L_Acomplex__of__real_At_A_K_Aw_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_A_0611_A_L_Acomplex__of__real_At_A_094_Ak_A_K_A_Iw_A_094_Ak_A_K_Aa_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_096)
% 275.41/41.91 | implies:
% 275.41/41.92 | (39) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 275.41/41.92 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 275.41/41.92 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 275.41/41.92 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 275.41/41.92 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 275.41/41.92 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] :
% 275.41/41.92 | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v24, v27) = v15 &
% 275.41/41.92 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v23) = v24 &
% 275.41/41.92 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v14) = v15 &
% 275.41/41.92 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, v12) = v13
% 275.41/41.92 | & c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 275.41/41.92 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 275.41/41.92 | c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v3 &
% 275.41/41.92 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 275.41/41.92 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v10 & hAPP(v26,
% 275.41/41.92 | v11) = v27 & hAPP(v21, v_a____) = v22 & hAPP(v19, v_k____) = v20 &
% 275.41/41.92 | hAPP(v18, v22) = v23 & hAPP(v16, v_k____) = v17 & hAPP(v10, v5) =
% 275.41/41.92 | v11 & hAPP(v9, v11) = v12 & hAPP(v8, v13) = v14 & hAPP(v8, v5) = v25
% 275.41/41.92 | & hAPP(v6, v_k____) = v7 & hAPP(v4, v_w____) = v5 & hAPP(v2, v5) =
% 275.41/41.92 | v6 & hAPP(v2, v3) = v16 & hAPP(v2, v_w____) = v19 & hAPP(v1, v25) =
% 275.41/41.92 | v26 & hAPP(v1, v20) = v21 & hAPP(v1, v17) = v18 & hAPP(v1, v7) = v8
% 275.41/41.92 | & hAPP(v1, v5) = v9 & hAPP(v1, v3) = v4 & $i(v27) & $i(v26) &
% 275.41/41.92 | $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19)
% 275.41/41.92 | & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) &
% 275.41/41.92 | $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 275.41/41.92 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 275.41/41.92 |
% 275.41/41.92 | ALPHA: (fact_real__add__mult__distrib) implies:
% 275.41/41.92 | (40) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 275.41/41.92 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 275.41/41.92 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 275.41/41.92 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v8) | ~
% 275.41/41.92 | (hAPP(v6, v1) = v7) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v0, v3) =
% 275.41/41.92 | v4) | ~ (hAPP(v0, v2) = v6) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1)
% 275.41/41.92 | | ? [v9: $i] : ? [v10: $i] :
% 275.41/41.92 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v2) = v9 &
% 275.41/41.92 | hAPP(v10, v1) = v8 & hAPP(v0, v9) = v10 & $i(v10) & $i(v9) &
% 275.41/41.92 | $i(v8))))
% 275.41/41.92 |
% 275.41/41.92 | ALPHA: (fact_real__two__squares__add__zero__iff) implies:
% 275.41/41.92 | (41) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.92 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 275.41/41.92 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0)
% 275.41/41.92 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 275.41/41.92 | $i] : ! [v7: $i] : (v3 = v1 | ~
% 275.41/41.92 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v1) | ~
% 275.41/41.92 | (hAPP(v6, v2) = v7) | ~ (hAPP(v4, v3) = v5) | ~ (hAPP(v0, v3) =
% 275.41/41.92 | v4) | ~ (hAPP(v0, v2) = v6) | ~ $i(v3) | ~ $i(v2)) & ! [v2:
% 275.41/41.92 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 275.41/41.92 | [v7: $i] : (v2 = v1 | ~
% 275.41/41.92 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v1) | ~
% 275.41/41.92 | (hAPP(v6, v2) = v7) | ~ (hAPP(v4, v3) = v5) | ~ (hAPP(v0, v3) =
% 275.41/41.92 | v4) | ~ (hAPP(v0, v2) = v6) | ~ $i(v3) | ~ $i(v2)) & ! [v2:
% 275.41/41.92 | $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~
% 275.41/41.92 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v3) = v4) | ~
% 275.41/41.92 | (hAPP(v2, v1) = v3) | ~ (hAPP(v0, v1) = v2)))
% 275.41/41.92 |
% 275.41/41.92 | ALPHA: (fact_real__mult__inverse__left) implies:
% 275.41/41.92 | (42) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 275.41/41.92 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.92 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v2 &
% 275.41/41.92 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v2) & $i(v1)
% 275.41/41.92 | & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 275.41/41.92 | (v6 = v2 | v3 = v0 | ~
% 275.41/41.92 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v3) = v4) | ~
% 275.41/41.92 | (hAPP(v5, v3) = v6) | ~ (hAPP(v1, v4) = v5) | ~ $i(v3)))
% 275.41/41.92 |
% 275.41/41.92 | ALPHA: (fact_nat__mult__eq__1__iff) implies:
% 275.41/41.92 | (43) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.92 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 275.41/41.92 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & !
% 275.41/41.92 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v1 | ~ (hAPP(v4, v2) =
% 275.41/41.92 | v1) | ~ (hAPP(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2)) & ! [v2:
% 275.41/41.92 | $i] : ! [v3: $i] : ! [v4: $i] : (v2 = v1 | ~ (hAPP(v4, v2) =
% 275.41/41.92 | v1) | ~ (hAPP(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2)) & ! [v2:
% 275.41/41.92 | $i] : ! [v3: $i] : (v3 = v1 | ~ (hAPP(v2, v1) = v3) | ~
% 275.41/41.92 | (hAPP(v0, v1) = v2)))
% 275.41/41.92 |
% 275.41/41.92 | ALPHA: (fact_nat__mult__1__right) implies:
% 275.41/41.92 | (44) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.92 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 275.41/41.92 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & !
% 275.41/41.92 | [v2: $i] : ! [v3: $i] : ( ~ (hAPP(v0, v2) = v3) | ~ $i(v2) |
% 275.41/41.92 | hAPP(v3, v1) = v2))
% 275.41/41.92 |
% 275.41/41.92 | ALPHA: (fact_nat__1__eq__mult__iff) implies:
% 275.41/41.92 | (45) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.92 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 &
% 275.41/41.92 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) & !
% 275.41/41.92 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v0 | ~ (hAPP(v4, v2) =
% 275.41/41.92 | v0) | ~ (hAPP(v1, v3) = v4) | ~ $i(v3) | ~ $i(v2)) & ! [v2:
% 275.41/41.92 | $i] : ! [v3: $i] : ! [v4: $i] : (v2 = v0 | ~ (hAPP(v4, v2) =
% 275.41/41.92 | v0) | ~ (hAPP(v1, v3) = v4) | ~ $i(v3) | ~ $i(v2)) & ! [v2:
% 275.41/41.92 | $i] : ! [v3: $i] : (v3 = v0 | ~ (hAPP(v2, v0) = v3) | ~
% 275.41/41.92 | (hAPP(v1, v0) = v2)))
% 275.41/41.92 |
% 275.41/41.92 | ALPHA: (fact_nat__mult__1) implies:
% 275.41/41.92 | (46) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 275.41/41.92 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 275.41/41.92 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & hAPP(v0, v1) = v2 &
% 275.41/41.92 | $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : (v4 = v3 | ~
% 275.41/41.92 | (hAPP(v2, v3) = v4) | ~ $i(v3)))
% 275.41/41.92 |
% 275.41/41.92 | ALPHA: (fact_mult__eq__self__implies__10) implies:
% 275.41/41.92 | (47) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 275.41/41.92 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 275.41/41.92 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 &
% 275.41/41.92 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v2 & $i(v2) & $i(v1) &
% 275.41/41.92 | $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v4 = v2 | v3 =
% 275.41/41.92 | v1 | ~ (hAPP(v5, v3) = v4) | ~ (hAPP(v0, v4) = v5) | ~ $i(v4) |
% 275.41/41.92 | ~ $i(v3)))
% 275.41/41.92 |
% 275.41/41.92 | ALPHA: (fact__096_B_Bthesis_O_A_I_B_Bt_O_A_091_124_A0_A_060_At_059_At_A_060_A1_059_At_A_060_Ainverse_A_Icmod_Aw_A_094_A_Ik_A_L_A1_J_A_K_Am_J_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096)
% 275.41/41.92 | implies:
% 275.41/41.92 | (48) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 275.41/41.92 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 275.41/41.92 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] :
% 275.41/41.92 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v10) = v11 &
% 275.41/41.92 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v6) = v7 &
% 275.41/41.92 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v2 &
% 275.41/41.92 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v4 &
% 275.41/41.92 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v3 &
% 275.41/41.92 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 275.41/41.92 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v6 &
% 275.41/41.92 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & hAPP(v9,
% 275.41/41.92 | v_m____) = v10 & hAPP(v5, v7) = v8 & hAPP(v3, v4) = v5 & hAPP(v2,
% 275.41/41.92 | v8) = v9 & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7)
% 275.41/41.92 | & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 275.41/41.92 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v11) &
% 275.41/41.92 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v1) &
% 275.41/41.92 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v12))
% 275.41/41.92 |
% 275.41/41.92 | ALPHA: (fact__096cmod_A_Icomplex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_A_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_060_061_Acmod_A_Icomplex__of__real_A_I1_A_N_At_A_094_Ak_J_J_A_L_Acmod_A_I_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_096)
% 275.41/41.92 | implies:
% 275.41/41.93 | (49) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 275.41/41.93 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 275.41/41.93 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 275.41/41.93 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 275.41/41.93 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 275.41/41.93 | : (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v0, v3) = v4 &
% 275.41/41.93 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v21, v22) = v23 &
% 275.41/41.93 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v5, v18) = v19 &
% 275.41/41.93 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v6 &
% 275.41/41.93 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v19) = v20 &
% 275.41/41.93 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v18) = v22 &
% 275.41/41.93 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v21 &
% 275.41/41.93 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 &
% 275.41/41.93 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v7 &
% 275.41/41.93 | c_RealVector_Oof__real(tc_Complex_Ocomplex, v4) = v5 &
% 275.41/41.93 | c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v8 &
% 275.41/41.93 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 275.41/41.93 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v16 & hAPP(v16,
% 275.41/41.93 | v10) = v17 & hAPP(v15, v17) = v18 & hAPP(v13, v10) = v14 &
% 275.41/41.93 | hAPP(v11, v_k____) = v12 & hAPP(v9, v_w____) = v10 & hAPP(v7, v10) =
% 275.41/41.93 | v11 & hAPP(v6, v14) = v15 & hAPP(v6, v12) = v13 & hAPP(v6, v8) = v9
% 275.41/41.93 | & hAPP(v2, v_k____) = v3 & hAPP(v1, v_t____) = v2 & $i(v23) &
% 275.41/41.93 | $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16)
% 275.41/41.93 | & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9)
% 275.41/41.93 | & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 275.41/41.93 | $i(v1) & $i(v0) &
% 275.41/41.93 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v20, v23))
% 275.41/41.93 |
% 275.41/41.93 | ALPHA: (fact__096cmod_A_I1_A_L_A_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Ia_A_L_Acomplex__of__real_At_A_K_Aw_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_J_A_061cmod_A_Icomplex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_A_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_096)
% 275.41/41.93 | implies:
% 275.41/41.93 | (50) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 275.41/41.93 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 275.41/41.93 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 275.41/41.93 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 275.41/41.93 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 275.41/41.93 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] :
% 275.41/41.93 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v17, v20) = v21 &
% 275.41/41.93 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v22, v25) = v26 &
% 275.41/41.93 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v14) = v15 &
% 275.41/41.93 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, v12) = v13
% 275.41/41.93 | & c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 275.41/41.93 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v26) = v16 &
% 275.41/41.93 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v15) = v16 &
% 275.41/41.93 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v18 &
% 275.41/41.93 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 275.41/41.93 | c_RealVector_Oof__real(tc_Complex_Ocomplex, v21) = v22 &
% 275.41/41.93 | c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v3 &
% 275.41/41.93 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v17 &
% 275.41/41.93 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 275.41/41.93 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v10 & hAPP(v24,
% 275.41/41.93 | v11) = v25 & hAPP(v19, v_k____) = v20 & hAPP(v18, v_t____) = v19 &
% 275.41/41.93 | hAPP(v10, v5) = v11 & hAPP(v9, v11) = v12 & hAPP(v8, v13) = v14 &
% 275.41/41.93 | hAPP(v8, v5) = v23 & hAPP(v6, v_k____) = v7 & hAPP(v4, v_w____) = v5
% 275.41/41.93 | & hAPP(v2, v5) = v6 & hAPP(v1, v23) = v24 & hAPP(v1, v7) = v8 &
% 275.41/41.93 | hAPP(v1, v5) = v9 & hAPP(v1, v3) = v4 & $i(v26) & $i(v25) & $i(v24)
% 275.41/41.93 | & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) &
% 275.41/41.93 | $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 275.41/41.93 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 275.41/41.93 | $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 275.41/41.93 |
% 275.41/41.93 | ALPHA: (fact__0961_A_L_Acomplex__of__real_At_A_094_Ak_A_K_A_Iw_A_094_Ak_A_K_Aa_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_A_061complex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_096)
% 275.41/41.93 | implies:
% 275.41/41.93 | (51) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 275.41/41.93 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 275.41/41.93 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 275.41/41.93 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 275.41/41.93 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 275.41/41.93 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 275.41/41.93 | $i] : ? [v29: $i] :
% 275.41/41.93 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v24, v27) = v28 &
% 275.41/41.93 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v29, v22) = v23 &
% 275.41/41.93 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v12, v22) = v23 &
% 275.41/41.93 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v11) = v12 &
% 275.41/41.93 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 275.41/41.93 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v25 &
% 275.41/41.93 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 275.41/41.93 | c_RealVector_Oof__real(tc_Complex_Ocomplex, v28) = v29 &
% 275.41/41.93 | c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v3 &
% 275.41/41.93 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v24 &
% 275.41/41.93 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 275.41/41.93 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v20 & hAPP(v26,
% 275.41/41.93 | v_k____) = v27 & hAPP(v25, v_t____) = v26 & hAPP(v20, v14) = v21 &
% 275.41/41.93 | hAPP(v19, v21) = v22 & hAPP(v17, v14) = v18 & hAPP(v15, v_k____) =
% 275.41/41.93 | v16 & hAPP(v13, v_w____) = v14 & hAPP(v9, v_a____) = v10 & hAPP(v7,
% 275.41/41.93 | v_k____) = v8 & hAPP(v6, v10) = v11 & hAPP(v4, v_k____) = v5 &
% 275.41/41.93 | hAPP(v2, v14) = v15 & hAPP(v2, v3) = v4 & hAPP(v2, v_w____) = v7 &
% 275.41/41.93 | hAPP(v1, v18) = v19 & hAPP(v1, v16) = v17 & hAPP(v1, v8) = v9 &
% 275.41/41.93 | hAPP(v1, v5) = v6 & hAPP(v1, v3) = v13 & $i(v29) & $i(v28) & $i(v27)
% 275.41/41.93 | & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 275.41/41.93 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14)
% 275.41/41.93 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 275.41/41.93 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 275.41/41.93 |
% 275.41/41.93 | ALPHA: (fact__0961_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_Ia_A_L_Acomplex__of__real_At_A_K_Aw_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_A_061complex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_096)
% 275.41/41.93 | implies:
% 275.41/41.93 | (52) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 275.41/41.93 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 275.41/41.93 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 275.41/41.93 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 275.41/41.93 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 275.41/41.93 | : ? [v24: $i] : (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v16,
% 275.41/41.93 | v19) = v20 & c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v21,
% 275.41/41.93 | v24) = v15 & c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0,
% 275.41/41.93 | v14) = v15 & c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,
% 275.41/41.93 | v_a____, v12) = v13 &
% 275.41/41.93 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 275.41/41.93 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v17 &
% 275.41/41.93 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 275.41/41.93 | c_RealVector_Oof__real(tc_Complex_Ocomplex, v20) = v21 &
% 275.41/41.93 | c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v3 &
% 275.41/41.93 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v16 &
% 275.41/41.93 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 275.41/41.93 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v10 & hAPP(v23,
% 275.41/41.93 | v11) = v24 & hAPP(v18, v_k____) = v19 & hAPP(v17, v_t____) = v18 &
% 275.41/41.93 | hAPP(v10, v5) = v11 & hAPP(v9, v11) = v12 & hAPP(v8, v13) = v14 &
% 275.41/41.93 | hAPP(v8, v5) = v22 & hAPP(v6, v_k____) = v7 & hAPP(v4, v_w____) = v5
% 275.41/41.93 | & hAPP(v2, v5) = v6 & hAPP(v1, v22) = v23 & hAPP(v1, v7) = v8 &
% 275.41/41.93 | hAPP(v1, v5) = v9 & hAPP(v1, v3) = v4 & $i(v24) & $i(v23) & $i(v22)
% 275.41/41.93 | & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) &
% 275.41/41.93 | $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 275.41/41.93 | $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 275.41/41.93 | $i(v1) & $i(v0))
% 275.41/41.93 |
% 275.41/41.93 | ALPHA: (fact__096_B_Bthesis_O_A_I_B_Bw_O_A1_A_L_Aw_A_094_Ak_A_K_Aa_A_061_A0_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096)
% 275.41/41.93 | implies:
% 275.41/41.93 | (53) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 275.41/41.93 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 275.41/41.93 | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v8) = v3 &
% 275.41/41.93 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 275.41/41.93 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 275.41/41.93 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 275.41/41.93 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v3 & hAPP(v7,
% 275.41/41.93 | v_a____) = v8 & hAPP(v5, v_k____) = v6 & hAPP(v2, v4) = v5 &
% 275.41/41.93 | hAPP(v1, v6) = v7 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 275.41/41.93 | $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 275.41/41.93 |
% 275.41/41.93 | ALPHA: (fact_kas_I3_J) implies:
% 275.41/41.93 | (54) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 275.41/41.93 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 275.41/41.93 | (c_Polynomial_Osmult(tc_Complex_Ocomplex, v7, v_q____) = v8 &
% 275.41/41.93 | c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v6) = v7 &
% 275.41/41.93 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 275.41/41.93 | v8) = v3 &
% 275.41/41.93 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 275.41/41.93 | v_s____) = v0 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v2) =
% 275.41/41.93 | v3 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v_k____) = v1 &
% 275.41/41.93 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 &
% 275.41/41.93 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v5 &
% 275.41/41.93 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v4 & hAPP(v4, v5)
% 275.41/41.93 | = v6 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2)
% 275.41/41.93 | & $i(v1) & $i(v0))
% 275.41/41.93 |
% 275.41/41.93 | ALPHA: (fact_th11) implies:
% 275.41/41.93 | (55) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 275.41/41.93 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 275.41/41.93 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 275.41/41.93 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 275.41/41.93 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 275.41/41.93 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] :
% 275.41/41.93 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v21) = v22 &
% 275.41/41.93 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v17, v20) = v21 &
% 275.41/41.93 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v22, v26) = v27 &
% 275.41/41.93 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v14) = v15 &
% 275.41/41.93 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, v12) = v13
% 275.41/41.93 | & c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 275.41/41.93 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v25) = v26 &
% 275.41/41.93 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v15) = v16 &
% 275.41/41.93 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v18 &
% 275.41/41.93 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 275.41/41.93 | c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v3 &
% 275.41/41.93 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v17 &
% 275.41/41.93 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 275.41/41.93 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v10 & hAPP(v24,
% 275.41/41.93 | v11) = v25 & hAPP(v19, v_k____) = v20 & hAPP(v18, v_t____) = v19 &
% 275.41/41.93 | hAPP(v10, v5) = v11 & hAPP(v9, v11) = v12 & hAPP(v8, v13) = v14 &
% 275.41/41.93 | hAPP(v8, v5) = v23 & hAPP(v6, v_k____) = v7 & hAPP(v4, v_w____) = v5
% 275.41/41.93 | & hAPP(v2, v5) = v6 & hAPP(v1, v23) = v24 & hAPP(v1, v7) = v8 &
% 275.41/41.93 | hAPP(v1, v5) = v9 & hAPP(v1, v3) = v4 & $i(v27) & $i(v26) & $i(v25)
% 275.41/41.93 | & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) &
% 275.41/41.93 | $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12)
% 275.41/41.93 | & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 275.41/41.93 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 275.41/41.93 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v16, v27))
% 275.41/41.93 |
% 275.41/41.93 | ALPHA: (fact__0961_A_L_Aw_A_094_Ak_A_K_Aa_A_N_A1_A_061_A0_A_N_A1_096) implies:
% 275.41/41.93 | (56) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 275.41/41.93 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 275.41/41.93 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v9, v0) = v8 &
% 275.41/41.93 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v7, v0) = v8 &
% 275.41/41.93 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v6) = v7 &
% 275.41/41.93 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 275.41/41.93 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 275.41/41.93 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 275.41/41.93 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v9 & hAPP(v5,
% 275.41/41.93 | v_a____) = v6 & hAPP(v3, v_k____) = v4 & hAPP(v2, v_w____) = v3 &
% 275.41/41.93 | hAPP(v1, v4) = v5 & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 275.41/41.93 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 275.41/41.93 |
% 275.41/41.93 | ALPHA: (fact_wm1) implies:
% 275.41/41.93 | (57) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 275.41/41.93 | ? [v5: $i] : ? [v6: $i] :
% 275.41/41.93 | (c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v6) = v5 &
% 275.41/41.93 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v0 &
% 275.41/41.93 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v1 &
% 275.41/41.93 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v6 & hAPP(v4,
% 275.41/41.93 | v_a____) = v5 & hAPP(v2, v_k____) = v3 & hAPP(v1, v_w____) = v2 &
% 275.41/41.93 | hAPP(v0, v3) = v4 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 275.41/41.93 | $i(v1) & $i(v0))
% 275.41/41.93 |
% 275.41/41.93 | ALPHA: (fact_ath) implies:
% 275.41/41.93 | (58) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.93 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 275.41/41.93 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 275.41/41.93 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 275.41/41.93 | $i] : ( ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v4) = v5) |
% 275.41/41.93 | ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v1, v2) = v4)
% 275.41/41.93 | | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v3) = v6)
% 275.41/41.93 | | ~ $i(v3) | ~ $i(v2) | ~
% 275.41/41.93 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1) | ~
% 275.41/41.93 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) | ~
% 275.41/41.93 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2) |
% 275.41/41.93 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v1)))
% 275.41/41.93 |
% 275.41/41.93 | ALPHA: (fact__096poly_Aq_A0_A_061_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A0_A_K_Apoly_Aq_A0_096)
% 275.41/41.93 | implies:
% 275.41/41.93 | (59) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 275.41/41.93 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 275.41/41.93 | (c_Polynomial_Osmult(tc_Complex_Ocomplex, v4, v_q____) = v5 &
% 275.41/41.93 | c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v2) = v4 &
% 275.41/41.93 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v3 &
% 275.41/41.93 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 &
% 275.41/41.93 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v5) = v6 &
% 275.41/41.93 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 & hAPP(v8, v2)
% 275.41/41.93 | = v2 & hAPP(v6, v1) = v7 & hAPP(v3, v7) = v8 & hAPP(v0, v1) = v2 &
% 275.41/41.93 | $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 275.41/41.93 | $i(v1) & $i(v0))
% 275.41/41.93 |
% 275.41/41.93 | ALPHA: (fact_qr) implies:
% 275.41/41.93 | (60) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 275.41/41.93 | ? [v5: $i] : ? [v6: $i] : (c_Polynomial_Osmult(tc_Complex_Ocomplex,
% 275.41/41.93 | v4, v_q____) = v5 &
% 275.41/41.93 | c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v3) = v4 &
% 275.41/41.93 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 275.41/41.93 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 &
% 275.41/41.93 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v5) = v6 &
% 275.41/41.93 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 & hAPP(v0, v2)
% 275.41/41.93 | = v3 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)
% 275.41/41.93 | & ! [v7: $i] : ! [v8: $i] : ( ~ (hAPP(v6, v7) = v8) | ~ $i(v7) |
% 275.41/41.93 | ? [v9: $i] : ? [v10: $i] : (hAPP(v10, v3) = v9 & hAPP(v1, v8) =
% 275.41/41.93 | v10 & hAPP(v0, v7) = v9 & $i(v10) & $i(v9))))
% 275.41/41.93 |
% 275.41/41.93 | ALPHA: (fact_mrmq__eq) implies:
% 275.41/41.94 | (61) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 275.41/41.94 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 275.41/41.94 | (c_Polynomial_Osmult(tc_Complex_Ocomplex, v3, v_q____) = v4 &
% 275.41/41.94 | c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v2) = v3 &
% 275.41/41.94 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v7 &
% 275.41/41.94 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v6 &
% 275.41/41.94 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 &
% 275.41/41.94 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v4) = v5 &
% 275.41/41.94 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 & hAPP(v0, v1)
% 275.41/41.94 | = v2 & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1)
% 275.41/41.94 | & $i(v0) & ! [v8: $i] : ! [v9: $i] : ( ~ (hAPP(v5, v8) = v9) | ~
% 275.41/41.94 | $i(v8) | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] :
% 275.41/41.94 | ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v11) = v12
% 275.41/41.94 | & hAPP(v0, v8) = v11 & $i(v12) & $i(v11) &
% 275.41/41.94 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v7)) |
% 275.41/41.94 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v9) = v10
% 275.41/41.94 | & $i(v10) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 275.41/41.94 | v10, v6)))) & ! [v8: $i] : ! [v9: $i] : ( ~ (hAPP(v5, v8)
% 275.41/41.94 | = v9) | ~ $i(v8) | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] :
% 275.41/41.94 | ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v10) = v11
% 275.41/41.94 | & hAPP(v0, v8) = v10 & $i(v11) & $i(v10) & ~
% 275.41/41.94 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v7)) |
% 275.41/41.94 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v9) = v12
% 275.41/41.94 | & $i(v12) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 275.41/41.94 | v12, v6)))))
% 275.41/41.94 |
% 275.41/41.94 | ALPHA: (fact_kas_I4_J) implies:
% 275.41/41.94 | (62) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 275.41/41.94 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 275.41/41.94 | ? [v10: $i] : (c_Polynomial_OpCons(tc_Complex_Ocomplex, v_a____,
% 275.41/41.94 | v_s____) = v9 & c_Polynomial_Osmult(tc_Complex_Ocomplex, v3,
% 275.41/41.94 | v_q____) = v4 &
% 275.41/41.94 | c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v2) = v3 &
% 275.41/41.94 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v7 &
% 275.41/41.94 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v8 &
% 275.41/41.94 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 &
% 275.41/41.94 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v9) = v10 &
% 275.41/41.94 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v4) = v5 &
% 275.41/41.94 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 & hAPP(v5, v1)
% 275.41/41.94 | = v6 & hAPP(v0, v1) = v2 & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 275.41/41.94 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & !
% 275.41/41.94 | [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15:
% 275.41/41.94 | $i] : ! [v16: $i] : ( ~ (hAPP(v14, v15) = v16) | ~ (hAPP(v12,
% 275.41/41.94 | v_k____) = v13) | ~ (hAPP(v10, v11) = v15) | ~ (hAPP(v8,
% 275.41/41.94 | v11) = v12) | ~ (hAPP(v7, v13) = v14) | ~ $i(v11) | ? [v17:
% 275.41/41.94 | $i] : (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v6, v16)
% 275.41/41.94 | = v17 & hAPP(v5, v11) = v17 & $i(v17))))
% 275.41/41.94 |
% 275.41/41.94 | ALPHA: (fact_rabs__ratiotest__lemma) implies:
% 275.41/41.94 | (63) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.94 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.94 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 275.41/41.94 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 275.41/41.94 | $i] : ! [v7: $i] : ! [v8: $i] : (v3 = v0 | ~
% 275.41/41.94 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v3) = v5) | ~
% 275.41/41.94 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v7) | ~
% 275.41/41.94 | (hAPP(v6, v7) = v8) | ~ (hAPP(v1, v4) = v6) | ~ $i(v4) | ~
% 275.41/41.94 | $i(v3) | ~ $i(v2) | ~
% 275.41/41.94 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v8) | ~
% 275.41/41.94 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v0)))
% 275.41/41.94 |
% 275.41/41.94 | ALPHA: (fact_abs__add__one__not__less__self) implies:
% 275.41/41.94 | (64) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 275.41/41.94 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 275.41/41.94 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v2) | ~ $i(v1)
% 275.41/41.94 | | ? [v3: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2,
% 275.41/41.94 | v0) = v3 & $i(v3) & ~
% 275.41/41.94 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v1))))
% 275.41/41.94 |
% 275.41/41.94 | ALPHA: (fact_abs__add__one__gt__zero) implies:
% 275.41/41.94 | (65) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.94 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 275.41/41.94 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 275.41/41.94 | & ! [v2: $i] : ! [v3: $i] : ( ~
% 275.41/41.94 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v3) | ~ $i(v2)
% 275.41/41.94 | | ? [v4: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1,
% 275.41/41.94 | v3) = v4 & $i(v4) &
% 275.41/41.94 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4))))
% 275.41/41.94 |
% 275.41/41.94 | ALPHA: (fact_mult__eq__if) implies:
% 275.41/41.94 | (66) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 275.41/41.94 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 &
% 275.41/41.94 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 &
% 275.41/41.94 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v2) & $i(v1) &
% 275.41/41.94 | $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 275.41/41.94 | [v7: $i] : ! [v8: $i] : (v4 = v0 | ~
% 275.41/41.94 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v4, v2) = v5) | ~
% 275.41/41.94 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v7) = v8) | ~
% 275.41/41.94 | (hAPP(v6, v3) = v7) | ~ (hAPP(v1, v5) = v6) | ~ $i(v4) | ~
% 275.41/41.94 | $i(v3) | ? [v9: $i] : (hAPP(v9, v3) = v8 & hAPP(v1, v4) = v9 &
% 275.41/41.94 | $i(v9) & $i(v8))) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 275.41/41.94 | (v5 = v0 | ~ (hAPP(v4, v3) = v5) | ~ (hAPP(v1, v0) = v4) | ~
% 275.41/41.94 | $i(v3)))
% 275.41/41.94 |
% 275.41/41.94 | ALPHA: (fact_power__eq__if) implies:
% 275.41/41.94 | (67) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 275.41/41.94 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v3 &
% 275.41/41.94 | c_Power_Opower__class_Opower(tc_Nat_Onat) = v1 &
% 275.41/41.94 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 &
% 275.41/41.94 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v3) & $i(v2) &
% 275.41/41.94 | $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 275.41/41.94 | $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : (v5 = v0 | ~
% 275.41/41.94 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v5, v2) = v8) | ~
% 275.41/41.94 | (hAPP(v7, v9) = v10) | ~ (hAPP(v6, v8) = v9) | ~ (hAPP(v3, v4) =
% 275.41/41.94 | v7) | ~ (hAPP(v1, v4) = v6) | ~ $i(v5) | ~ $i(v4) | (hAPP(v6,
% 275.41/41.94 | v5) = v10 & $i(v10))) & ! [v4: $i] : ! [v5: $i] : ! [v6:
% 275.41/41.94 | $i] : (v6 = v2 | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v1, v4) = v5) |
% 275.41/41.94 | ~ $i(v4)))
% 275.41/41.94 |
% 275.41/41.94 | ALPHA: (fact_realpow__minus__mult) implies:
% 275.41/41.94 | (68) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) =
% 275.41/41.94 | v1 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v1) & $i(v0)
% 275.41/41.94 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 275.41/41.94 | $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : !
% 275.41/41.94 | [v11: $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1)
% 275.41/41.94 | = v8) | ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~
% 275.41/41.94 | (c_Power_Opower__class_Opower(v4) = v6) | ~ (hAPP(v10, v2) = v11)
% 275.41/41.94 | | ~ (hAPP(v7, v8) = v9) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5,
% 275.41/41.94 | v9) = v10) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 275.41/41.94 | class_Groups_Omonoid__mult(v4) | ~
% 275.41/41.94 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) | (hAPP(v7, v3)
% 275.41/41.94 | = v11 & $i(v11))))
% 275.41/41.94 |
% 275.41/41.94 | ALPHA: (fact_realpow__num__eq__if) implies:
% 275.41/41.94 | (69) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) =
% 275.41/41.94 | v1 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v1) & $i(v0)
% 275.41/41.94 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 275.41/41.94 | $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : !
% 275.41/41.94 | [v11: $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1)
% 275.41/41.94 | = v9) | ~ (c_Groups_Otimes__class_Otimes(v4) = v7) | ~
% 275.41/41.94 | (c_Power_Opower__class_Opower(v4) = v5) | ~ (hAPP(v8, v10) = v11)
% 275.41/41.94 | | ~ (hAPP(v7, v2) = v8) | ~ (hAPP(v6, v9) = v10) | ~ (hAPP(v5,
% 275.41/41.94 | v2) = v6) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 275.41/41.94 | class_Power_Opower(v4) | ? [v12: $i] : ? [v13: $i] : (( ~ (v3 =
% 275.41/41.94 | v0) | (v13 = v12 & c_Groups_Oone__class_Oone(v4) = v12 &
% 275.41/41.94 | hAPP(v6, v0) = v12 & $i(v12))) & (v3 = v0 | (v12 = v11 &
% 275.41/41.94 | hAPP(v6, v3) = v11 & $i(v11))))))
% 275.41/41.94 |
% 275.41/41.94 | ALPHA: (fact_real__minus__mult__self__le) implies:
% 275.41/41.94 | (70) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 275.41/41.94 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 275.41/41.94 | [v5: $i] : ! [v6: $i] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v2)
% 275.41/41.94 | = v4) | ~ (hAPP(v0, v2) = v3) | ~ (hAPP(v0, v1) = v5) | ~
% 275.41/41.94 | $i(v2) | ~ $i(v1) | ? [v7: $i] :
% 275.41/41.94 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v4) = v7 &
% 275.41/41.94 | $i(v7) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7,
% 275.41/41.94 | v6))))
% 275.41/41.94 |
% 275.41/41.94 | ALPHA: (fact_real__mult__inverse__cancel) implies:
% 275.41/41.94 | (71) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.94 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.94 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 275.41/41.94 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 275.41/41.94 | $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : !
% 275.41/41.94 | [v11: $i] : ( ~ (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,
% 275.41/41.94 | v5) = v6) | ~
% 275.41/41.94 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v4) = v9) | ~
% 275.41/41.94 | (hAPP(v10, v2) = v11) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v1, v9)
% 275.41/41.94 | = v10) | ~ (hAPP(v1, v6) = v7) | ~ $i(v5) | ~ $i(v4) | ~
% 275.41/41.94 | $i(v3) | ~ $i(v2) | ~
% 275.41/41.94 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5) | ~
% 275.41/41.94 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 275.41/41.94 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v11) | ?
% 275.41/41.94 | [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] :
% 275.41/41.94 | (hAPP(v14, v2) = v15 & hAPP(v12, v3) = v13 & hAPP(v1, v5) = v14 &
% 275.41/41.94 | hAPP(v1, v4) = v12 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & ~
% 275.41/41.94 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v15))))
% 275.41/41.94 |
% 275.41/41.94 | ALPHA: (fact_real__mult__inverse__cancel2) implies:
% 275.41/41.94 | (72) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.94 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.94 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 275.41/41.94 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 275.41/41.94 | $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : !
% 275.41/41.94 | [v11: $i] : ( ~ (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,
% 275.41/41.94 | v5) = v7) | ~
% 275.41/41.94 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v4) = v10) |
% 275.41/41.94 | ~ (hAPP(v9, v10) = v11) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v1,
% 275.41/41.94 | v3) = v6) | ~ (hAPP(v1, v2) = v9) | ~ $i(v5) | ~ $i(v4) |
% 275.41/41.94 | ~ $i(v3) | ~ $i(v2) | ~
% 275.41/41.94 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5) | ~
% 275.41/41.94 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 275.41/41.94 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v11) | ?
% 275.41/41.94 | [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] :
% 275.41/41.94 | (hAPP(v14, v2) = v15 & hAPP(v12, v3) = v13 & hAPP(v1, v5) = v14 &
% 275.41/41.94 | hAPP(v1, v4) = v12 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & ~
% 275.41/41.94 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v15))))
% 275.41/41.94 |
% 275.41/41.94 | ALPHA: (fact_th01) implies:
% 275.41/41.94 | (73) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 275.41/41.94 | ? [v5: $i] : (c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, v2) =
% 275.41/41.94 | v3 & c_Polynomial_OpCons(tc_Complex_Ocomplex, v0, v3) = v4 &
% 275.41/41.94 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, v1) = v2 &
% 275.41/41.94 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 &
% 275.41/41.94 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 275.41/41.94 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v4) = v5 & $i(v5) & $i(v4) &
% 275.41/41.94 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & ~
% 275.41/41.94 | c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,
% 275.41/41.94 | tc_Complex_Ocomplex, v5))
% 275.41/41.94 |
% 275.41/41.94 | ALPHA: (fact_th02) implies:
% 275.41/41.94 | (74) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 275.41/41.94 | ? [v5: $i] : (c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, v3) =
% 275.41/41.94 | v4 & c_Polynomial_OpCons(tc_Complex_Ocomplex, v2, v4) = v5 &
% 275.41/41.94 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, v0) = v3 &
% 275.41/41.94 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 275.41/41.94 | v5) = v1 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v0) =
% 275.41/41.94 | v1 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 275.41/41.94 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v2 & $i(v5) &
% 275.41/41.94 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 275.41/41.94 |
% 275.41/41.94 | ALPHA: (fact_complex__of__real__minus__one) implies:
% 275.41/41.94 | (75) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 275.41/41.94 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) = v1 &
% 275.41/41.94 | c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v3) = v2 &
% 275.41/41.94 | c_RealVector_Oof__real(tc_Complex_Ocomplex, v1) = v2 &
% 275.41/41.94 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 275.41/41.94 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v3 & $i(v3) &
% 275.41/41.94 | $i(v2) & $i(v1) & $i(v0))
% 275.41/41.94 |
% 275.41/41.94 | ALPHA: (fact__096EX_Az_O_Apoly_A_IpCons_A1_A_Imonom_Aa_A_Ik_A_N_A1_J_J_J_Az_A_061_A0_096)
% 275.41/41.94 | implies:
% 275.41/41.94 | (76) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 275.41/41.94 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 275.41/41.94 | (c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, v2) = v3 &
% 275.41/41.94 | c_Polynomial_OpCons(tc_Complex_Ocomplex, v0, v3) = v4 &
% 275.41/41.94 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, v1) = v2 &
% 275.41/41.94 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 &
% 275.41/41.94 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 275.41/41.94 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v6 &
% 275.41/41.94 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v4) = v5 & hAPP(v5, v7) = v6
% 275.41/41.94 | & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 275.41/41.94 | $i(v0))
% 275.41/41.94 |
% 275.41/41.94 | ALPHA: (fact_reduce__poly__simple) implies:
% 275.41/41.94 | (77) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 275.41/41.94 | ? [v5: $i] : (c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v3
% 275.41/41.94 | & c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v4 &
% 275.41/41.94 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v5 &
% 275.41/41.94 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v2 &
% 275.41/41.94 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 275.41/41.94 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 & $i(v5) &
% 275.41/41.94 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ? [v6: $i] : ! [v7:
% 275.41/41.94 | $i] : ! [v8: $i] : (v7 = v0 | v6 = v1 | ~ (hAPP(v3, v7) = v8) |
% 275.41/41.94 | ~ $i(v7) | ~ $i(v6) | ? [v9: $i] : ? [v10: $i] : ? [v11: $i] :
% 275.41/41.94 | ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 275.41/41.94 | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v2, v12) = v13 &
% 275.41/41.94 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v13) = v14
% 275.41/41.94 | & hAPP(v10, v6) = v11 & hAPP(v8, v11) = v12 & hAPP(v4, v9) = v10
% 275.41/41.94 | & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 275.41/41.94 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v14, v5))))
% 275.41/41.94 |
% 275.41/41.94 | ALPHA: (fact_not__real__square__gt__zero) implies:
% 275.41/41.94 | (78) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.94 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.94 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 275.41/41.94 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v2 = v0 | ~ (hAPP(v3,
% 275.41/41.94 | v2) = v4) | ~ (hAPP(v1, v2) = v3) | ~ $i(v2) |
% 275.41/41.94 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4)) & ! [v2:
% 275.41/41.94 | $i] : ! [v3: $i] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(v1, v0) =
% 275.41/41.94 | v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 275.41/41.94 | v3)))
% 275.41/41.94 |
% 275.41/41.94 | ALPHA: (fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J)
% 275.41/41.94 | implies:
% 275.41/41.94 | (79) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v0) &
% 275.41/41.94 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 275.41/41.94 | (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v3, v1) = v4) |
% 275.41/41.94 | ~ $i(v2) | ~ $i(v1) | ~ class_Rings_Ocomm__semiring__1(v2) |
% 275.41/41.94 | hAPP(v4, v0) = v1))
% 275.41/41.94 |
% 275.41/41.94 | ALPHA: (fact_of__real_Opos__bounded) implies:
% 275.41/41.94 | (80) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.94 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.94 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 275.41/41.94 | & ! [v2: $i] : ( ~ $i(v2) | ~
% 275.41/41.94 | class_RealVector_Oreal__normed__vector(v2) | ~
% 275.41/41.94 | class_RealVector_Oreal__algebra__1(v2) | ? [v3: $i] : ($i(v3) &
% 275.41/41.94 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) & !
% 275.41/41.94 | [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 275.41/41.94 | (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, v4) = v5) |
% 275.41/41.94 | ~ (hAPP(v6, v3) = v7) | ~ (hAPP(v1, v5) = v6) | ~ $i(v4) |
% 275.41/41.94 | ? [v8: $i] : ? [v9: $i] :
% 275.41/41.94 | (c_RealVector_Onorm__class_Onorm(v2, v8) = v9 &
% 275.41/41.94 | c_RealVector_Oof__real(v2, v4) = v8 & $i(v9) & $i(v8) &
% 275.41/41.94 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9,
% 275.41/41.94 | v7))))))
% 275.41/41.94 |
% 275.41/41.94 | ALPHA: (fact_unimodular__reduce__norm) implies:
% 275.41/41.95 | (81) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.95 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 275.41/41.95 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v1 & $i(v1) &
% 275.41/41.95 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~
% 275.41/41.95 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v2, v1) = v3)
% 275.41/41.95 | | ~ $i(v2) | ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7:
% 275.41/41.95 | $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] :
% 275.41/41.95 | (( ~ (v4 = v0) &
% 275.41/41.95 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v4
% 275.41/41.95 | & $i(v4)) |
% 275.41/41.95 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v2,
% 275.41/41.95 | c_Complex_Oii) = v10 &
% 275.41/41.95 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v10) =
% 275.41/41.95 | v11 & $i(v11) & $i(v10) &
% 275.41/41.95 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v0)) |
% 275.41/41.95 | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v2, v1) = v5 &
% 275.41/41.95 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6
% 275.41/41.95 | & $i(v6) & $i(v5) &
% 275.41/41.95 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v0)) |
% 275.41/41.95 | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v2,
% 275.41/41.95 | c_Complex_Oii) = v8 &
% 275.41/41.95 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v8) = v9
% 275.41/41.95 | & $i(v9) & $i(v8) &
% 275.41/41.95 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v0)) |
% 275.41/41.95 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v7 &
% 275.41/41.95 | $i(v7) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7,
% 275.41/41.95 | v0)))))
% 275.41/41.95 |
% 275.41/41.95 | ALPHA: (fact_complex__i__mult__minus) implies:
% 275.41/41.95 | (82) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.95 | (c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v0 & hAPP(v0,
% 275.41/41.95 | c_Complex_Oii) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i]
% 275.41/41.95 | : ( ~ (hAPP(v1, v2) = v3) | ~ $i(v2) | ? [v4: $i] :
% 275.41/41.95 | (c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v2) = v4 &
% 275.41/41.95 | hAPP(v1, v3) = v4 & $i(v4))))
% 275.41/41.95 |
% 275.41/41.95 | ALPHA: (fact__096_B_Bthesis_O_A_I_B_Bm_O_A_091_124_A0_A_060_Am_059_AALL_Az_O_Acmod_Az_A_060_061_Acmod_Aw_A_N_N_062_Acmod_A_Ipoly_As_Az_J_A_060_061_Am_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096)
% 275.41/41.95 | implies:
% 275.41/41.95 | (83) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 275.41/41.95 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v1 &
% 275.41/41.95 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 275.41/41.95 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v2 & $i(v3) &
% 275.41/41.95 | $i(v2) & $i(v1) & $i(v0) &
% 275.41/41.95 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) & ! [v4:
% 275.41/41.95 | $i] : ! [v5: $i] : ( ~ (hAPP(v2, v4) = v5) | ~ $i(v4) | ? [v6:
% 275.41/41.95 | $i] : ? [v7: $i] :
% 275.41/41.95 | ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v7 &
% 275.41/41.95 | $i(v7) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 275.41/41.95 | v7, v3)) |
% 275.41/41.95 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v6 &
% 275.41/41.95 | $i(v6) & ~
% 275.41/41.95 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6,
% 275.41/41.95 | v1)))))
% 275.41/41.95 |
% 275.41/41.95 | ALPHA: (fact__096EX_Ak_Aa_Aqa_O_Aa_A_126_061_A0_A_G_Ak_A_126_061_A0_A_G_Apsize_Aqa_A_L_Ak_A_L_A1_A_061_Apsize_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A_G_A_IALL_Az_O_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Az_A_061_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A0_A_L_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aqa_J_Az_J_096)
% 275.41/41.95 | implies:
% 275.41/41.95 | (84) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 275.41/41.95 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 275.41/41.95 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 275.41/41.95 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : (
% 275.41/41.95 | ~ (v13 = v0) & ~ (v12 = v1) &
% 275.41/41.95 | c_Polynomial_OpCons(tc_Complex_Ocomplex, v13, v14) = v17 &
% 275.41/41.95 | c_Polynomial_Osmult(tc_Complex_Ocomplex, v5, v_q____) = v6 &
% 275.41/41.95 | c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v4) = v5 &
% 275.41/41.95 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 275.41/41.95 | v14) = v15 &
% 275.41/41.95 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 275.41/41.95 | v6) = v7 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v16, v2) = v7
% 275.41/41.95 | & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v15, v12) = v16 &
% 275.41/41.95 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v10 &
% 275.41/41.95 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v11 &
% 275.41/41.95 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 &
% 275.41/41.95 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 275.41/41.95 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 &
% 275.41/41.95 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v17) = v18 &
% 275.41/41.95 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v6) = v8 &
% 275.41/41.95 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v3 & hAPP(v8, v0)
% 275.41/41.95 | = v9 & hAPP(v3, v0) = v4 & $i(v18) & $i(v17) & $i(v16) & $i(v15) &
% 275.41/41.95 | $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) &
% 275.41/41.95 | $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 275.41/41.95 | $i(v0) & ! [v19: $i] : ! [v20: $i] : ( ~ (hAPP(v8, v19) = v20) |
% 275.41/41.95 | ~ $i(v19) | ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24:
% 275.41/41.95 | $i] : ? [v25: $i] :
% 275.41/41.95 | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v9, v25) = v20 &
% 275.41/41.95 | hAPP(v23, v24) = v25 & hAPP(v21, v12) = v22 & hAPP(v18, v19) =
% 275.41/41.95 | v24 & hAPP(v11, v19) = v21 & hAPP(v10, v22) = v23 & $i(v25) &
% 275.41/41.95 | $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20))))
% 275.41/41.95 |
% 275.41/41.95 | ALPHA: (fact_natceiling__add__one) implies:
% 275.41/41.95 | (85) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 275.41/41.95 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 275.41/41.95 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 &
% 275.41/41.95 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v2) & $i(v1)
% 275.41/41.95 | & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 275.41/41.95 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v1) = v4) | ~
% 275.41/41.95 | $i(v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 275.41/41.95 | v0, v3) | ? [v5: $i] : ? [v6: $i] :
% 275.41/41.95 | (c_RComplete_Onatceiling(v4) = v5 & c_RComplete_Onatceiling(v3) =
% 275.41/41.95 | v6 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v6, v2) = v5 &
% 275.41/41.95 | $i(v6) & $i(v5))))
% 275.41/41.95 |
% 275.41/41.95 | ALPHA: (fact_natceiling__one) implies:
% 275.41/41.95 | (86) ? [v0: $i] : ? [v1: $i] : (c_RComplete_Onatceiling(v0) = v1 &
% 275.41/41.95 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 275.41/41.95 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0))
% 275.41/41.95 |
% 275.41/41.95 | ALPHA: (fact_natceiling__le__eq__one) implies:
% 275.41/41.95 | (87) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.95 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 275.41/41.95 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) & !
% 275.41/41.95 | [v2: $i] : ! [v3: $i] : ( ~ (c_RComplete_Onatceiling(v2) = v3) | ~
% 275.41/41.95 | $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 275.41/41.95 | v2, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3,
% 275.41/41.95 | v0)) & ! [v2: $i] : ! [v3: $i] : ( ~
% 275.41/41.95 | (c_RComplete_Onatceiling(v2) = v3) | ~ $i(v2) | ~
% 275.41/41.95 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v0) |
% 275.41/41.95 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1)))
% 275.41/41.95 |
% 275.41/41.95 | ALPHA: (fact_of__real_Ononneg__bounded) implies:
% 275.41/41.95 | (88) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.95 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.95 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 275.41/41.95 | & ! [v2: $i] : ( ~ $i(v2) | ~
% 275.41/41.95 | class_RealVector_Oreal__normed__vector(v2) | ~
% 275.41/41.95 | class_RealVector_Oreal__algebra__1(v2) | ? [v3: $i] : ($i(v3) &
% 275.41/41.95 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) & !
% 275.41/41.95 | [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 275.41/41.95 | (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, v4) = v5) |
% 275.41/41.95 | ~ (hAPP(v6, v3) = v7) | ~ (hAPP(v1, v5) = v6) | ~ $i(v4) |
% 275.41/41.95 | ? [v8: $i] : ? [v9: $i] :
% 275.41/41.95 | (c_RealVector_Onorm__class_Onorm(v2, v8) = v9 &
% 275.41/41.95 | c_RealVector_Oof__real(v2, v4) = v8 & $i(v9) & $i(v8) &
% 275.41/41.95 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9,
% 275.41/41.95 | v7))))))
% 275.41/41.95 |
% 275.41/41.95 | ALPHA: (fact_lemmaCauchy) implies:
% 275.41/41.95 | (89) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 275.41/41.95 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 275.41/41.95 | [v5: $i] : ! [v6: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v4,
% 275.41/41.95 | v5) = v6) | ~ (hAPP(v1, v2) = v5) | ~ $i(v4) | ~ $i(v3) |
% 275.41/41.95 | ~ $i(v2) | ~ $i(v1) | ~ class_Orderings_Oord(v3) | ~
% 275.41/41.95 | class_RealVector_Oreal__normed__vector(v4) | ? [v7: $i] : ? [v8:
% 275.41/41.95 | $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ($i(v8) &
% 275.41/41.95 | ((c_Groups_Ominus__class_Ominus(v4, v5, v9) = v10 &
% 275.41/41.95 | c_RealVector_Onorm__class_Onorm(v4, v10) = v11 & hAPP(v1,
% 275.41/41.95 | v8) = v9 & $i(v11) & $i(v10) & $i(v9) &
% 275.41/41.95 | c_Orderings_Oord__class_Oless__eq(v3, v2, v8) & ~
% 275.41/41.95 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v0)) |
% 275.41/41.95 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v6) = v7 &
% 275.41/41.95 | $i(v7) & ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ( ~
% 275.41/41.95 | (c_RealVector_Onorm__class_Onorm(v4, v13) = v14) | ~
% 275.41/41.95 | (hAPP(v1, v12) = v13) | ~ $i(v12) | ~
% 275.41/41.95 | c_Orderings_Oord__class_Oless__eq(v3, v2, v12) |
% 275.41/41.95 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v14,
% 275.41/41.95 | v7)))))))
% 275.41/41.95 |
% 275.41/41.95 | ALPHA: (fact_mult_Opos__bounded) implies:
% 275.41/41.95 | (90) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.95 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.95 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 275.41/41.95 | & ! [v2: $i] : ! [v3: $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2)
% 275.41/41.95 | = v3) | ~ $i(v2) | ~
% 275.41/41.95 | class_RealVector_Oreal__normed__algebra(v2) | ? [v4: $i] :
% 275.41/41.95 | ($i(v4) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4)
% 275.41/41.95 | & ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : !
% 275.41/41.95 | [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : ( ~
% 275.41/41.95 | (c_RealVector_Onorm__class_Onorm(v2, v6) = v9) | ~
% 275.41/41.95 | (c_RealVector_Onorm__class_Onorm(v2, v5) = v7) | ~ (hAPP(v11,
% 275.41/41.95 | v4) = v12) | ~ (hAPP(v8, v9) = v10) | ~ (hAPP(v1, v10) =
% 275.41/41.95 | v11) | ~ (hAPP(v1, v7) = v8) | ~ $i(v6) | ~ $i(v5) | ?
% 275.41/41.95 | [v13: $i] : ? [v14: $i] : ? [v15: $i] :
% 275.41/41.95 | (c_RealVector_Onorm__class_Onorm(v2, v14) = v15 & hAPP(v13,
% 275.41/41.95 | v6) = v14 & hAPP(v3, v5) = v13 & $i(v15) & $i(v14) &
% 275.41/41.95 | $i(v13) &
% 275.41/41.95 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v15,
% 275.41/41.95 | v12))))))
% 275.41/41.95 |
% 275.41/41.95 | ALPHA: (fact_mult__left_Opos__bounded) implies:
% 275.41/41.95 | (91) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.95 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.95 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 275.41/41.95 | & ? [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 275.41/41.95 | (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ $i(v3) | ~ $i(v2) |
% 275.41/41.95 | ~ class_RealVector_Oreal__normed__algebra(v3) | ? [v5: $i] :
% 275.41/41.95 | ($i(v5) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5)
% 275.41/41.95 | & ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 275.41/41.95 | (c_RealVector_Onorm__class_Onorm(v3, v6) = v7) | ~ (hAPP(v8,
% 275.41/41.95 | v5) = v9) | ~ (hAPP(v1, v7) = v8) | ~ $i(v6) | ? [v10:
% 275.41/41.95 | $i] : ? [v11: $i] : ? [v12: $i] :
% 275.41/41.95 | (c_RealVector_Onorm__class_Onorm(v3, v11) = v12 & hAPP(v10,
% 275.41/41.95 | v2) = v11 & hAPP(v4, v6) = v10 & $i(v12) & $i(v11) &
% 275.41/41.95 | $i(v10) &
% 275.41/41.95 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v12,
% 275.41/41.95 | v9))))))
% 275.41/41.95 |
% 275.41/41.95 | ALPHA: (fact_mult__right_Opos__bounded) implies:
% 275.41/41.95 | (92) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.95 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.95 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 275.41/41.95 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 275.41/41.95 | (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v4, v2) = v5)
% 275.41/41.95 | | ~ $i(v3) | ~ $i(v2) | ~
% 275.41/41.95 | class_RealVector_Oreal__normed__algebra(v3) | ? [v6: $i] :
% 275.41/41.95 | ($i(v6) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v6)
% 275.41/41.95 | & ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 275.41/41.95 | (c_RealVector_Onorm__class_Onorm(v3, v7) = v8) | ~ (hAPP(v9,
% 275.41/41.95 | v6) = v10) | ~ (hAPP(v1, v8) = v9) | ~ $i(v7) | ? [v11:
% 275.41/41.95 | $i] : ? [v12: $i] : (c_RealVector_Onorm__class_Onorm(v3,
% 275.41/41.95 | v11) = v12 & hAPP(v5, v7) = v11 & $i(v12) & $i(v11) &
% 275.41/41.95 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v12,
% 275.41/41.95 | v10))))))
% 275.41/41.95 |
% 275.41/41.95 | ALPHA: (fact_natfloor__add__one) implies:
% 275.41/41.95 | (93) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 275.41/41.95 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 275.41/41.95 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 &
% 275.41/41.95 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v2) & $i(v1)
% 275.41/41.95 | & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 275.41/41.95 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v1) = v4) | ~
% 275.41/41.95 | $i(v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 275.41/41.95 | v0, v3) | ? [v5: $i] : ? [v6: $i] : (c_RComplete_Onatfloor(v4)
% 275.41/41.95 | = v5 & c_RComplete_Onatfloor(v3) = v6 &
% 275.41/41.95 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v6, v2) = v5 & $i(v6) &
% 275.41/41.95 | $i(v5))))
% 275.41/41.95 |
% 275.41/41.95 | ALPHA: (fact_natfloor__one) implies:
% 275.41/41.95 | (94) ? [v0: $i] : ? [v1: $i] : (c_RComplete_Onatfloor(v0) = v1 &
% 275.41/41.95 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 275.41/41.95 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0))
% 275.41/41.95 |
% 275.41/41.95 | ALPHA: (fact_le__natfloor__eq__one) implies:
% 275.41/41.95 | (95) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.95 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 275.41/41.95 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) & !
% 275.41/41.95 | [v2: $i] : ! [v3: $i] : ( ~ (c_RComplete_Onatfloor(v2) = v3) | ~
% 275.41/41.95 | $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 275.41/41.95 | v1, v2) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0,
% 275.41/41.95 | v3)) & ! [v2: $i] : ! [v3: $i] : ( ~
% 275.41/41.95 | (c_RComplete_Onatfloor(v2) = v3) | ~ $i(v2) | ~
% 275.41/41.95 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v3) |
% 275.41/41.95 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v2)))
% 275.41/41.95 |
% 275.41/41.95 | ALPHA: (fact_le__mult__natfloor) implies:
% 275.41/41.95 | (96) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 275.41/41.95 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v2 &
% 275.41/41.95 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 &
% 275.41/41.95 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v2) & $i(v1)
% 275.41/41.95 | & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 275.41/41.95 | ! [v7: $i] : ! [v8: $i] : ( ~ (c_RComplete_Onatfloor(v4) = v5) | ~
% 275.41/41.95 | (c_RComplete_Onatfloor(v3) = v7) | ~ (hAPP(v6, v7) = v8) | ~
% 275.41/41.95 | (hAPP(v1, v5) = v6) | ~ $i(v4) | ~ $i(v3) | ~
% 275.41/41.95 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v4) | ~
% 275.41/41.95 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) | ?
% 275.41/41.95 | [v9: $i] : ? [v10: $i] : ? [v11: $i] :
% 275.41/41.95 | (c_RComplete_Onatfloor(v10) = v11 & hAPP(v9, v3) = v10 & hAPP(v2,
% 275.41/41.95 | v4) = v9 & $i(v11) & $i(v10) & $i(v9) &
% 275.41/41.95 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v8, v11))))
% 275.41/41.95 |
% 275.41/41.95 | ALPHA: (fact_natceiling__eq) implies:
% 275.41/41.95 | (97) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.95 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 275.41/41.95 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & !
% 275.41/41.95 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v4 | ~
% 275.41/41.95 | (c_RComplete_Onatceiling(v2) = v4) | ~
% 275.41/41.95 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v1) = v5) | ~
% 275.41/41.95 | $i(v3) | ~ $i(v2) | ? [v6: $i] : ? [v7: $i] :
% 275.41/41.95 | (c_RealDef_Oreal(tc_Nat_Onat, v3) = v6 & $i(v6) & ( ~
% 275.41/41.95 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v2) |
% 275.41/41.95 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v0) = v7 &
% 275.41/41.95 | $i(v7) & ~
% 275.41/41.95 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 275.41/41.95 | v7))))))
% 275.41/41.95 |
% 275.41/41.95 | ALPHA: (fact_real__of__nat__power) implies:
% 275.41/41.95 | (98) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.95 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 &
% 275.41/41.95 | c_Power_Opower__class_Opower(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) &
% 275.41/41.95 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 275.41/41.95 | ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v3) = v4) | ~ (hAPP(v5, v2) = v6)
% 275.41/41.95 | | ~ (hAPP(v1, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ? [v7: $i] :
% 275.41/41.95 | ? [v8: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v8) = v6 & hAPP(v7, v2)
% 275.41/41.95 | = v8 & hAPP(v0, v3) = v7 & $i(v8) & $i(v7) & $i(v6))))
% 275.41/41.95 |
% 275.41/41.95 | ALPHA: (fact_power__real__of__nat) implies:
% 275.41/41.95 | (99) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.95 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 275.41/41.95 | c_Power_Opower__class_Opower(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) &
% 275.41/41.95 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 275.41/41.95 | ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v3) = v4) | ~ (hAPP(v5, v2) = v6)
% 275.41/41.95 | | ~ (hAPP(v0, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ? [v7: $i] :
% 275.41/41.95 | ? [v8: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v8) = v6 & hAPP(v7, v2)
% 275.41/41.95 | = v8 & hAPP(v1, v3) = v7 & $i(v8) & $i(v7) & $i(v6))))
% 275.41/41.95 |
% 275.41/41.95 | ALPHA: (fact_real__of__nat__mult) implies:
% 275.41/41.95 | (100) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.95 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.41/41.95 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) &
% 275.41/41.95 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i]
% 275.41/41.95 | : ! [v7: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v3) = v4) | ~
% 275.41/41.95 | (c_RealDef_Oreal(tc_Nat_Onat, v2) = v6) | ~ (hAPP(v5, v6) = v7)
% 275.41/41.95 | | ~ (hAPP(v1, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ? [v8: $i] :
% 275.41/41.95 | ? [v9: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v9) = v7 & hAPP(v8,
% 275.41/41.95 | v2) = v9 & hAPP(v0, v3) = v8 & $i(v9) & $i(v8) & $i(v7))))
% 275.41/41.96 |
% 275.41/41.96 | ALPHA: (fact_real__of__nat__1) implies:
% 275.41/41.96 | (101) ? [v0: $i] : ? [v1: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1 &
% 275.41/41.96 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 275.41/41.96 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v1) & $i(v0))
% 275.41/41.96 |
% 275.41/41.96 | ALPHA: (fact_natfloor__power) implies:
% 275.41/41.96 | (102) ? [v0: $i] : ? [v1: $i] :
% 275.41/41.96 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 275.41/41.96 | c_Power_Opower__class_Opower(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) &
% 275.41/41.96 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i]
% 275.41/41.96 | : ( ~ (c_RComplete_Onatfloor(v3) = v4) | ~ (hAPP(v5, v2) = v6) |
% 275.41/41.96 | ~ (hAPP(v1, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ? [v7: $i] : ?
% 275.41/41.96 | [v8: $i] : ? [v9: $i] : ? [v10: $i] : ((v10 = v6 &
% 275.41/41.96 | c_RComplete_Onatfloor(v9) = v6 & hAPP(v8, v2) = v9 & hAPP(v0,
% 275.41/41.96 | v3) = v8 & $i(v9) & $i(v8) & $i(v6)) | ( ~ (v7 = v3) &
% 275.41/41.96 | c_RealDef_Oreal(tc_Nat_Onat, v4) = v7 & $i(v7)))))
% 275.41/41.96 |
% 275.41/41.96 | ALPHA: (fact_nat__less__real__le) implies:
% 275.41/41.96 | (103) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 275.41/41.96 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 275.41/41.96 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~
% 275.41/41.96 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v4) | ~ $i(v2) | ~ $i(v1) |
% 275.41/41.96 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ? [v5:
% 275.41/41.96 | $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v0) =
% 275.41/41.96 | v5 & $i(v5) &
% 275.41/41.96 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v4))) &
% 275.41/41.96 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 275.41/41.96 | (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~
% 275.41/41.96 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v4) | ~ $i(v2) | ~ $i(v1) |
% 275.41/41.96 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ? [v5: $i]
% 275.41/41.96 | : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v0) = v5 &
% 275.41/41.96 | $i(v5) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 275.41/41.96 | v5, v4))))
% 275.41/41.96 |
% 275.41/41.96 | ALPHA: (fact_nat__le__real__less) implies:
% 275.82/41.96 | (104) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 275.82/41.96 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 275.82/41.96 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~
% 275.82/41.96 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v4) | ~ $i(v2) | ~ $i(v1) |
% 275.82/41.96 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ?
% 275.82/41.96 | [v5: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v0)
% 275.82/41.96 | = v5 & $i(v5) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 275.82/41.96 | v3, v5))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 275.82/41.96 | $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~
% 275.82/41.96 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v4) | ~ $i(v2) | ~ $i(v1) |
% 275.82/41.96 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ? [v5:
% 275.82/41.96 | $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v0) =
% 275.82/41.96 | v5 & $i(v5) & ~
% 275.82/41.96 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v5))))
% 275.82/41.96 |
% 275.82/41.96 | ALPHA: (fact_real__natfloor__add__one__gt) implies:
% 275.82/41.96 | (105) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 275.82/41.96 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_RComplete_Onatfloor(v1)
% 275.82/41.96 | = v2) | ~ $i(v1) | ? [v3: $i] : ? [v4: $i] :
% 275.82/41.96 | (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3 &
% 275.82/41.96 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v0) = v4 &
% 275.82/41.96 | $i(v4) & $i(v3) &
% 275.82/41.96 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v4))))
% 275.82/41.96 |
% 275.82/41.96 | ALPHA: (fact_real__natfloor__gt__diff__one) implies:
% 275.82/41.96 | (106) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 275.82/41.96 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 275.82/41.96 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v1, v0) = v2) |
% 275.82/41.96 | ~ $i(v1) | ? [v3: $i] : ? [v4: $i] :
% 275.82/41.96 | (c_RealDef_Oreal(tc_Nat_Onat, v3) = v4 &
% 275.82/41.96 | c_RComplete_Onatfloor(v1) = v3 & $i(v4) & $i(v3) &
% 275.82/41.96 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v4))))
% 275.82/41.96 |
% 275.82/41.96 | ALPHA: (fact_ge__natfloor__plus__one__imp__gt) implies:
% 275.82/41.96 | (107) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v0) &
% 275.82/41.96 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 275.82/41.96 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v4) | ~
% 275.82/41.96 | (c_RComplete_Onatfloor(v2) = v3) | ~ $i(v2) | ~ $i(v1) |
% 275.82/41.96 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v4) | ? [v5:
% 275.82/41.96 | $i] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v0) = v5 &
% 275.82/41.96 | $i(v5) & ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5,
% 275.82/41.96 | v1))))
% 275.82/41.96 |
% 275.82/41.96 | ALPHA: (fact_natfloor__eq) implies:
% 275.82/41.96 | (108) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 275.82/41.96 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 275.82/41.96 | (v4 = v2 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~
% 275.82/41.96 | (c_RComplete_Onatfloor(v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 275.82/41.96 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v1) | ?
% 275.82/41.96 | [v5: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v0)
% 275.82/41.96 | = v5 & $i(v5) & ~
% 275.82/41.96 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v5))))
% 275.82/41.96 |
% 275.82/41.96 | ALPHA: (fact_LIMSEQ__inverse__realpow__zero__lemma) implies:
% 275.82/41.96 | (109) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 275.82/41.96 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 275.82/41.96 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v3 &
% 275.82/41.96 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v2 &
% 275.82/41.96 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) &
% 275.82/41.96 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i]
% 275.82/41.96 | : ! [v7: $i] : ! [v8: $i] : ( ~
% 275.82/41.96 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v2) = v6) | ~
% 275.82/41.96 | (hAPP(v7, v4) = v8) | ~ (hAPP(v3, v6) = v7) | ~ $i(v5) | ~
% 275.82/41.96 | $i(v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 275.82/41.96 | v0, v5) | ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12:
% 275.82/41.96 | $i] : (c_RealDef_Oreal(tc_Nat_Onat, v4) = v9 &
% 275.82/41.96 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v11, v2) = v12 &
% 275.82/41.96 | hAPP(v10, v5) = v11 & hAPP(v1, v9) = v10 & $i(v12) & $i(v11) &
% 275.82/41.96 | $i(v10) & $i(v9) &
% 275.82/41.96 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v12, v8))))
% 275.82/41.96 |
% 275.82/41.96 | ALPHA: (fact_reals__Archimedean6) implies:
% 275.82/41.96 | (110) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) =
% 275.82/41.96 | v1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) &
% 275.82/41.96 | $i(v0) & ! [v2: $i] : ( ~ $i(v2) | ~
% 275.82/41.96 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) | ?
% 275.82/41.96 | [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 275.82/41.96 | (c_RealDef_Oreal(tc_Nat_Onat, v4) = v5 &
% 275.82/41.96 | c_RealDef_Oreal(tc_Nat_Onat, v3) = v6 &
% 275.82/41.96 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1) = v4 &
% 275.82/41.96 | $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 275.82/41.96 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v2) &
% 275.82/41.96 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v6))))
% 275.82/41.96 |
% 275.82/41.96 | ALPHA: (fact_of__real_Obounded) implies:
% 275.82/41.96 | (111) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 275.82/41.96 | $i(v0) & ! [v1: $i] : ( ~ $i(v1) | ~
% 275.82/41.96 | class_RealVector_Oreal__normed__vector(v1) | ~
% 275.82/41.96 | class_RealVector_Oreal__algebra__1(v1) | ? [v2: $i] : ($i(v2) &
% 275.82/41.96 | ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 275.82/41.96 | (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, v3) = v4)
% 275.82/41.96 | | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v0, v4) = v5) | ~ $i(v3)
% 275.82/41.96 | | ? [v7: $i] : ? [v8: $i] :
% 275.82/41.96 | (c_RealVector_Onorm__class_Onorm(v1, v7) = v8 &
% 275.82/41.96 | c_RealVector_Oof__real(v1, v3) = v7 & $i(v8) & $i(v7) &
% 275.82/41.96 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v8,
% 275.82/41.96 | v6))))))
% 275.82/41.96 |
% 275.82/41.96 | ALPHA: (fact_norm__sgn) implies:
% 275.82/41.96 | (112) ? [v0: $i] : ? [v1: $i] :
% 275.82/41.96 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 275.82/41.96 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) &
% 275.82/41.96 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (
% 275.82/41.96 | ~ (c_Groups_Osgn__class_Osgn(v3, v2) = v4) | ~
% 275.82/41.96 | (c_RealVector_Onorm__class_Onorm(v3, v4) = v5) | ~ $i(v3) | ~
% 275.82/41.96 | $i(v2) | ~ class_RealVector_Oreal__normed__vector(v3) | ? [v6:
% 275.82/41.96 | $i] : ((v5 = v1 | (v6 = v2 & c_Groups_Ozero__class_Ozero(v3) =
% 275.82/41.96 | v2)) & (v5 = v0 | ( ~ (v6 = v2) &
% 275.82/41.96 | c_Groups_Ozero__class_Ozero(v3) = v6 & $i(v6))))))
% 275.82/41.96 |
% 275.82/41.96 | ALPHA: (arity_RealDef__Oreal__Rings_Ocomm__semiring__1) implies:
% 275.82/41.96 | (113) class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal)
% 275.82/41.96 |
% 275.82/41.96 | ALPHA: (arity_RealDef__Oreal__Orderings_Oorder) implies:
% 275.82/41.96 | (114) class_Orderings_Oorder(tc_RealDef_Oreal)
% 275.82/41.96 |
% 275.82/41.96 | ALPHA: (conj_0) implies:
% 275.82/41.96 | (115) $i(tc_RealDef_Oreal)
% 275.82/41.96 | (116) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 275.82/41.96 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 275.82/41.96 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 275.82/41.96 | $i] : ? [v15: $i] : ? [v16: $i] :
% 275.82/41.96 | (c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v0 &
% 275.82/41.96 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v12) = v13 &
% 275.82/41.96 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v14 &
% 275.82/41.96 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v1 &
% 275.82/41.96 | c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v2 &
% 275.82/41.96 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v10 & hAPP(v15,
% 275.82/41.96 | v_k____) = v16 & hAPP(v14, v_t____) = v15 & hAPP(v10, v4) = v11 &
% 275.82/41.96 | hAPP(v9, v11) = v12 & hAPP(v7, v4) = v8 & hAPP(v5, v_k____) = v6 &
% 275.82/41.96 | hAPP(v3, v_w____) = v4 & hAPP(v1, v4) = v5 & hAPP(v0, v8) = v9 &
% 275.82/41.96 | hAPP(v0, v6) = v7 & hAPP(v0, v2) = v3 & $i(v16) & $i(v15) & $i(v14)
% 275.82/41.96 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7)
% 275.82/41.96 | & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ~
% 275.82/41.96 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v16))
% 275.82/41.96 |
% 275.82/41.96 | ALPHA: (function-axioms) implies:
% 275.82/41.96 | (117) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 275.82/41.96 | (c_Groups_Oone__class_Oone(v2) = v1) | ~
% 275.82/41.96 | (c_Groups_Oone__class_Oone(v2) = v0))
% 275.82/41.96 | (118) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 275.82/41.96 | (c_Power_Opower__class_Opower(v2) = v1) | ~
% 275.82/41.96 | (c_Power_Opower__class_Opower(v2) = v0))
% 275.82/41.96 | (119) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 275.82/41.96 | (c_Groups_Otimes__class_Otimes(v2) = v1) | ~
% 275.82/41.96 | (c_Groups_Otimes__class_Otimes(v2) = v0))
% 275.82/41.96 | (120) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 275.82/41.96 | (hAPP(v3, v2) = v1) | ~ (hAPP(v3, v2) = v0))
% 275.82/41.96 | (121) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 275.82/41.96 | (c_Polynomial_Opoly(v3, v2) = v1) | ~ (c_Polynomial_Opoly(v3, v2)
% 275.82/41.96 | = v0))
% 275.82/41.96 | (122) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 275.82/41.96 | (c_RealVector_Oof__real(v3, v2) = v1) | ~
% 275.82/41.96 | (c_RealVector_Oof__real(v3, v2) = v0))
% 275.82/41.96 | (123) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 275.82/41.96 | (c_RealVector_Onorm__class_Onorm(v3, v2) = v1) | ~
% 275.82/41.96 | (c_RealVector_Onorm__class_Onorm(v3, v2) = v0))
% 275.82/41.96 | (124) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 275.82/41.96 | (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v1) | ~
% 275.82/41.96 | (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v0))
% 275.82/41.96 |
% 275.82/41.96 | DELTA: instantiating (1) with fresh symbol all_744_0 gives:
% 275.82/41.96 | (125) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_744_0 &
% 275.82/41.96 | $i(all_744_0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 275.82/41.96 | v_t____, all_744_0)
% 275.82/41.96 |
% 275.82/41.96 | ALPHA: (125) implies:
% 275.82/41.96 | (126) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_744_0
% 275.82/41.96 |
% 275.82/41.96 | DELTA: instantiating (101) with fresh symbols all_793_0, all_793_1 gives:
% 275.82/41.97 | (127) c_RealDef_Oreal(tc_Nat_Onat, all_793_1) = all_793_0 &
% 275.82/41.97 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_793_0 &
% 275.82/41.97 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_793_1 & $i(all_793_0) &
% 275.82/41.97 | $i(all_793_1)
% 275.82/41.97 |
% 275.82/41.97 | ALPHA: (127) implies:
% 275.82/41.97 | (128) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_793_1
% 275.82/41.97 | (129) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_793_0
% 275.82/41.97 |
% 275.82/41.97 | DELTA: instantiating (31) with fresh symbols all_798_0, all_798_1 gives:
% 275.82/41.97 | (130) ~ (all_798_0 = all_798_1) &
% 275.82/41.97 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_798_0 &
% 275.82/41.97 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_798_1 &
% 275.82/41.97 | $i(all_798_0) & $i(all_798_1)
% 275.82/41.97 |
% 275.82/41.97 | ALPHA: (130) implies:
% 275.82/41.97 | (131) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_798_0
% 275.82/41.97 |
% 275.82/41.97 | DELTA: instantiating (94) with fresh symbols all_819_0, all_819_1 gives:
% 275.82/41.97 | (132) c_RComplete_Onatfloor(all_819_1) = all_819_0 &
% 275.82/41.97 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_819_1 &
% 275.82/41.97 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_819_0 & $i(all_819_0) &
% 275.82/41.97 | $i(all_819_1)
% 275.82/41.97 |
% 275.82/41.97 | ALPHA: (132) implies:
% 275.82/41.97 | (133) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_819_1
% 275.82/41.97 |
% 275.82/41.97 | DELTA: instantiating (86) with fresh symbols all_829_0, all_829_1 gives:
% 275.82/41.97 | (134) c_RComplete_Onatceiling(all_829_1) = all_829_0 &
% 275.82/41.97 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_829_1 &
% 275.82/41.97 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_829_0 & $i(all_829_0) &
% 275.82/41.97 | $i(all_829_1)
% 275.82/41.97 |
% 275.82/41.97 | ALPHA: (134) implies:
% 275.82/41.97 | (135) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_829_1
% 275.82/41.97 |
% 275.82/41.97 | DELTA: instantiating (36) with fresh symbols all_887_0, all_887_1, all_887_2
% 275.82/41.97 | gives:
% 275.82/41.97 | (136) c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 275.82/41.97 | v_pa____) = all_887_0 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat,
% 275.82/41.97 | v_k____, all_887_2) = all_887_1 &
% 275.82/41.97 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_887_2 & $i(all_887_0) &
% 275.82/41.97 | $i(all_887_1) & $i(all_887_2) &
% 275.82/41.97 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_887_1, all_887_0)
% 275.82/41.97 |
% 275.82/41.97 | ALPHA: (136) implies:
% 275.82/41.97 | (137) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_887_2
% 275.82/41.97 | (138) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_887_2) =
% 275.82/41.97 | all_887_1
% 275.82/41.97 |
% 275.82/41.97 | DELTA: instantiating (64) with fresh symbol all_907_0 gives:
% 275.82/41.97 | (139) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_907_0 &
% 275.82/41.97 | $i(all_907_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 275.82/41.97 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v1) | ~ $i(v0)
% 275.82/41.97 | | ? [v2: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1,
% 275.82/41.97 | all_907_0) = v2 & $i(v2) & ~
% 275.82/41.97 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v0)))
% 275.82/41.97 |
% 275.82/41.97 | ALPHA: (139) implies:
% 275.82/41.97 | (140) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_907_0
% 275.82/41.97 |
% 275.82/41.97 | DELTA: instantiating (12) with fresh symbol all_910_0 gives:
% 275.82/41.97 | (141) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_910_0 &
% 275.82/41.97 | $i(all_910_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 275.82/41.97 | (c_RealVector_Oof__real(v0, all_910_0) = v1) | ~ $i(v0) | ~
% 275.82/41.97 | class_RealVector_Oreal__algebra__1(v0) |
% 275.82/41.97 | (c_Groups_Oone__class_Oone(v0) = v1 & $i(v1)))
% 275.82/41.97 |
% 275.82/41.97 | ALPHA: (141) implies:
% 275.82/41.97 | (142) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_910_0
% 275.82/41.97 |
% 275.82/41.97 | DELTA: instantiating (22) with fresh symbols all_915_0, all_915_1, all_915_2
% 275.82/41.97 | gives:
% 275.82/41.97 | (143) ~ (all_915_0 = all_915_2) &
% 275.82/41.97 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 275.82/41.97 | v_pa____) = all_915_2 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat,
% 275.82/41.97 | v_k____, all_915_1) = all_915_0 &
% 275.82/41.97 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_915_1 & $i(all_915_0) &
% 275.82/41.97 | $i(all_915_1) & $i(all_915_2)
% 275.82/41.97 |
% 275.82/41.97 | ALPHA: (143) implies:
% 275.82/41.97 | (144) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_915_1
% 275.82/41.97 | (145) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_915_1) =
% 275.82/41.97 | all_915_0
% 275.82/41.97 |
% 275.82/41.97 | DELTA: instantiating (13) with fresh symbol all_924_0 gives:
% 275.82/41.97 | (146) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_924_0 &
% 275.82/41.97 | $i(all_924_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 =
% 275.82/41.97 | all_924_0 | ~ (c_RealVector_Onorm__class_Onorm(v0, v1) = v2) | ~
% 275.82/41.97 | (c_Groups_Oone__class_Oone(v0) = v1) | ~ $i(v0) | ~
% 275.82/41.97 | class_RealVector_Oreal__normed__algebra__1(v0))
% 275.82/41.97 |
% 275.82/41.97 | ALPHA: (146) implies:
% 275.82/41.97 | (147) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_924_0
% 275.82/41.97 |
% 275.82/41.97 | DELTA: instantiating (44) with fresh symbols all_930_0, all_930_1 gives:
% 275.82/41.97 | (148) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_930_1 &
% 275.82/41.97 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_930_0 & $i(all_930_0) &
% 275.82/41.97 | $i(all_930_1) & ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(all_930_1, v0)
% 275.82/41.97 | = v1) | ~ $i(v0) | hAPP(v1, all_930_0) = v0)
% 275.82/41.97 |
% 275.82/41.97 | ALPHA: (148) implies:
% 275.82/41.97 | (149) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_930_0
% 275.82/41.97 |
% 275.82/41.97 | DELTA: instantiating (79) with fresh symbol all_957_0 gives:
% 275.82/41.97 | (150) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_957_0 & $i(all_957_0) &
% 275.82/41.97 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 275.82/41.97 | (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) |
% 275.82/41.97 | ~ $i(v1) | ~ $i(v0) | ~ class_Rings_Ocomm__semiring__1(v1) |
% 275.82/41.97 | hAPP(v3, all_957_0) = v0)
% 275.82/41.97 |
% 275.82/41.97 | ALPHA: (150) implies:
% 275.82/41.97 | (151) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_957_0
% 275.82/41.97 |
% 275.82/41.97 | DELTA: instantiating (26) with fresh symbol all_963_0 gives:
% 275.82/41.97 | (152) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_963_0 & $i(all_963_0) &
% 275.82/41.97 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 275.82/41.97 | (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) |
% 275.82/41.97 | ~ $i(v1) | ~ $i(v0) | ~ class_Groups_Omonoid__mult(v1) | hAPP(v3,
% 275.82/41.97 | all_963_0) = v0)
% 275.82/41.97 |
% 275.82/41.97 | ALPHA: (152) implies:
% 275.82/41.97 | (153) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_963_0
% 275.82/41.97 |
% 275.82/41.97 | DELTA: instantiating (75) with fresh symbols all_978_0, all_978_1, all_978_2,
% 275.82/41.97 | all_978_3 gives:
% 275.82/41.97 | (154) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_978_3) =
% 275.82/41.97 | all_978_2 & c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,
% 275.82/41.97 | all_978_0) = all_978_1 &
% 275.82/41.97 | c_RealVector_Oof__real(tc_Complex_Ocomplex, all_978_2) = all_978_1 &
% 275.82/41.97 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_978_3 &
% 275.82/41.97 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_978_0 &
% 275.82/41.97 | $i(all_978_0) & $i(all_978_1) & $i(all_978_2) & $i(all_978_3)
% 275.82/41.97 |
% 275.82/41.97 | ALPHA: (154) implies:
% 275.82/41.97 | (155) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_978_3
% 275.82/41.97 |
% 275.82/41.97 | DELTA: instantiating (32) with fresh symbols all_983_0, all_983_1, all_983_2
% 275.82/41.97 | gives:
% 275.82/41.97 | (156) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_983_2 &
% 275.82/41.97 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_983_1 &
% 275.82/41.97 | hAPP(all_983_2, all_983_1) = all_983_0 & $i(all_983_0) &
% 275.82/41.97 | $i(all_983_1) & $i(all_983_2) & ! [v0: $i] : ! [v1: $i] : (v1 = v0
% 275.82/41.97 | | ~ (hAPP(all_983_0, v0) = v1) | ~ $i(v0))
% 275.82/41.97 |
% 275.82/41.97 | ALPHA: (156) implies:
% 275.82/41.97 | (157) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_983_1
% 275.82/41.97 | (158) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_983_2
% 275.82/41.97 |
% 275.82/41.97 | DELTA: instantiating (105) with fresh symbol all_986_0 gives:
% 275.82/41.97 | (159) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_986_0 &
% 275.82/41.97 | $i(all_986_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 275.82/41.97 | (c_RComplete_Onatfloor(v0) = v1) | ~ $i(v0) | ? [v2: $i] : ?
% 275.82/41.97 | [v3: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2 &
% 275.82/41.97 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, all_986_0) = v3
% 275.82/41.97 | & $i(v3) & $i(v2) &
% 275.82/41.97 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)))
% 275.82/41.97 |
% 275.82/41.97 | ALPHA: (159) implies:
% 275.82/41.97 | (160) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_986_0
% 275.82/41.97 |
% 275.82/41.97 | DELTA: instantiating (65) with fresh symbols all_992_0, all_992_1 gives:
% 275.82/41.97 | (161) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_992_0 &
% 275.82/41.97 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_992_1 &
% 275.82/41.97 | $i(all_992_0) & $i(all_992_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 275.82/41.97 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v1) | ~ $i(v0)
% 275.82/41.97 | | ? [v2: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 275.82/41.97 | all_992_0, v1) = v2 & $i(v2) &
% 275.82/41.97 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_992_1, v2)))
% 275.82/41.97 |
% 275.82/41.97 | ALPHA: (161) implies:
% 275.82/41.97 | (162) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_992_0
% 275.82/41.97 |
% 275.82/41.97 | DELTA: instantiating (4) with fresh symbols all_995_0, all_995_1, all_995_2,
% 275.82/41.97 | all_995_3 gives:
% 275.82/41.97 | (163) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_995_2 &
% 275.82/41.97 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_995_3 &
% 275.82/41.97 | hAPP(all_995_1, v_k____) = all_995_0 & hAPP(all_995_2, v_t____) =
% 275.82/41.97 | all_995_1 & $i(all_995_0) & $i(all_995_1) & $i(all_995_2) &
% 275.82/41.97 | $i(all_995_3) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 275.82/41.97 | all_995_3, all_995_0)
% 275.82/41.97 |
% 275.82/41.97 | ALPHA: (163) implies:
% 275.82/41.97 | (164) hAPP(all_995_2, v_t____) = all_995_1
% 275.82/41.97 | (165) hAPP(all_995_1, v_k____) = all_995_0
% 275.82/41.97 | (166) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_995_2
% 275.82/41.97 |
% 275.82/41.97 | DELTA: instantiating (46) with fresh symbols all_997_0, all_997_1, all_997_2
% 275.82/41.97 | gives:
% 275.82/41.97 | (167) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_997_2 &
% 275.82/41.97 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_997_1 & hAPP(all_997_2,
% 275.82/41.97 | all_997_1) = all_997_0 & $i(all_997_0) & $i(all_997_1) &
% 275.82/41.97 | $i(all_997_2) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 275.82/41.97 | (hAPP(all_997_0, v0) = v1) | ~ $i(v0))
% 275.82/41.97 |
% 275.82/41.97 | ALPHA: (167) implies:
% 275.82/41.97 | (168) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_997_1
% 275.82/41.97 |
% 275.82/41.97 | DELTA: instantiating (106) with fresh symbol all_1000_0 gives:
% 275.82/41.97 | (169) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1000_0 &
% 275.82/41.97 | $i(all_1000_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 275.82/41.97 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v0, all_1000_0) =
% 275.82/41.97 | v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] :
% 275.82/41.97 | (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3 & c_RComplete_Onatfloor(v0)
% 275.82/41.97 | = v2 & $i(v3) & $i(v2) &
% 275.82/41.97 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v3)))
% 275.82/41.97 |
% 275.82/41.97 | ALPHA: (169) implies:
% 275.82/41.97 | (170) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1000_0
% 275.82/41.97 |
% 275.82/41.97 | DELTA: instantiating (82) with fresh symbols all_1018_0, all_1018_1 gives:
% 275.82/41.97 | (171) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1018_1 &
% 275.82/41.97 | hAPP(all_1018_1, c_Complex_Oii) = all_1018_0 & $i(all_1018_0) &
% 275.82/41.97 | $i(all_1018_1) & ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(all_1018_0,
% 275.82/41.97 | v0) = v1) | ~ $i(v0) | ? [v2: $i] :
% 275.82/41.97 | (c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v0) = v2 &
% 275.82/41.97 | hAPP(all_1018_0, v1) = v2 & $i(v2)))
% 275.82/41.97 |
% 275.82/41.97 | ALPHA: (171) implies:
% 275.82/41.97 | (172) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1018_1
% 275.82/41.97 |
% 275.82/41.97 | DELTA: instantiating (28) with fresh symbol all_1045_0 gives:
% 275.82/41.97 | (173) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1045_0 &
% 275.82/41.97 | $i(all_1045_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 275.82/41.97 | $i] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_1045_0, v0) = v2) | ~
% 275.82/41.97 | $i(v1) | ~ $i(v0) | ? [v4: $i] : (hAPP(v4, v0) = v3 &
% 275.82/41.97 | hAPP(all_1045_0, v1) = v4 & $i(v4) & $i(v3)))
% 275.82/41.97 |
% 275.82/41.97 | ALPHA: (173) implies:
% 275.82/41.97 | (174) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1045_0
% 275.82/41.97 |
% 275.82/41.97 | DELTA: instantiating (19) with fresh symbols all_1059_0, all_1059_1 gives:
% 275.82/41.97 | (175) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1059_0 &
% 275.82/41.97 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1059_1 &
% 275.82/41.97 | $i(all_1059_0) & $i(all_1059_1) & ! [v0: $i] : ( ~ $i(v0) | ~
% 275.82/41.97 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1059_1, v0) |
% 275.82/41.97 | ? [v1: $i] : ($i(v1) &
% 275.82/41.97 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) &
% 275.82/41.97 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1059_0) &
% 275.82/41.97 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1059_1, v1)))
% 275.82/41.97 |
% 275.82/41.97 | ALPHA: (175) implies:
% 275.82/41.97 | (176) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1059_0
% 275.82/41.97 |
% 275.82/41.97 | DELTA: instantiating (107) with fresh symbol all_1071_0 gives:
% 275.82/41.97 | (177) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1071_0 & $i(all_1071_0)
% 275.82/41.97 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 275.82/41.97 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v3) | ~
% 275.82/41.97 | (c_RComplete_Onatfloor(v1) = v2) | ~ $i(v1) | ~ $i(v0) |
% 275.82/41.97 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v3) | ? [v4:
% 275.82/41.97 | $i] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, all_1071_0) =
% 275.82/41.97 | v4 & $i(v4) & ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,
% 275.82/41.97 | v4, v0)))
% 275.82/41.97 |
% 275.82/41.97 | ALPHA: (177) implies:
% 275.82/41.97 | (178) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1071_0
% 275.82/41.97 |
% 275.82/41.97 | DELTA: instantiating (70) with fresh symbol all_1074_0 gives:
% 275.82/41.97 | (179) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1074_0 &
% 275.82/41.97 | $i(all_1074_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 275.82/41.97 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v4, v0) = v5) | ~
% 275.82/41.97 | (hAPP(v2, v1) = v3) | ~ (hAPP(all_1074_0, v1) = v2) | ~
% 275.82/41.97 | (hAPP(all_1074_0, v0) = v4) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] :
% 275.82/41.97 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v6 &
% 275.82/41.97 | $i(v6) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6,
% 275.82/41.97 | v5)))
% 275.82/41.97 |
% 275.82/41.98 | ALPHA: (179) implies:
% 275.82/41.98 | (180) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1074_0
% 275.82/41.98 |
% 275.82/41.98 | DELTA: instantiating (34) with fresh symbols all_1102_0, all_1102_1 gives:
% 275.82/41.98 | (181) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1102_0 &
% 275.82/41.98 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1102_1 &
% 275.82/41.98 | $i(all_1102_0) & $i(all_1102_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 275.82/41.98 | $i] : ! [v3: $i] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_1102_0,
% 275.82/41.98 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 275.82/41.98 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1102_1, v1) |
% 275.82/41.98 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1102_1, v0) |
% 275.82/41.98 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1102_1, v3))
% 275.82/41.98 |
% 275.82/41.98 | ALPHA: (181) implies:
% 275.82/41.98 | (182) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1102_0
% 275.82/41.98 |
% 275.82/41.98 | DELTA: instantiating (108) with fresh symbol all_1105_0 gives:
% 275.82/41.98 | (183) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1105_0 &
% 275.82/41.98 | $i(all_1105_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 275.82/41.98 | $i] : (v3 = v1 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~
% 275.82/41.98 | (c_RComplete_Onatfloor(v0) = v3) | ~ $i(v1) | ~ $i(v0) | ~
% 275.82/41.98 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) | ?
% 275.82/41.98 | [v4: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2,
% 275.82/41.98 | all_1105_0) = v4 & $i(v4) & ~
% 275.82/41.98 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4)))
% 275.82/41.98 |
% 275.82/41.98 | ALPHA: (183) implies:
% 275.82/41.98 | (184) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1105_0
% 275.82/41.98 |
% 275.82/41.98 | DELTA: instantiating (78) with fresh symbols all_1111_0, all_1111_1 gives:
% 275.82/41.98 | (185) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1111_0 &
% 275.82/41.98 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1111_1 &
% 275.82/41.98 | $i(all_1111_0) & $i(all_1111_1) & ! [v0: any] : ! [v1: $i] : !
% 275.82/41.98 | [v2: $i] : (v0 = all_1111_1 | ~ (hAPP(v1, v0) = v2) | ~
% 275.82/41.98 | (hAPP(all_1111_0, v0) = v1) | ~ $i(v0) |
% 275.82/41.98 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1111_1, v2)) &
% 275.82/41.98 | ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(v0, all_1111_1) = v1) | ~
% 275.82/41.98 | (hAPP(all_1111_0, all_1111_1) = v0) | ~
% 275.82/41.98 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1111_1, v1))
% 275.82/41.98 |
% 275.82/41.98 | ALPHA: (185) implies:
% 275.82/41.98 | (186) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1111_0
% 275.82/41.98 |
% 275.82/41.98 | DELTA: instantiating (95) with fresh symbols all_1114_0, all_1114_1 gives:
% 275.82/41.98 | (187) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1114_0 &
% 275.82/41.98 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1114_1 & $i(all_1114_0)
% 275.82/41.98 | & $i(all_1114_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 275.82/41.98 | (c_RComplete_Onatfloor(v0) = v1) | ~ $i(v0) | ~
% 275.82/41.98 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1114_0, v0)
% 275.82/41.98 | | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_1114_1, v1)) &
% 275.82/41.98 | ! [v0: $i] : ! [v1: $i] : ( ~ (c_RComplete_Onatfloor(v0) = v1) | ~
% 275.82/41.98 | $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,
% 275.82/41.98 | all_1114_1, v1) |
% 275.82/41.98 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1114_0,
% 275.82/41.98 | v0))
% 275.82/41.98 |
% 275.82/41.98 | ALPHA: (187) implies:
% 275.82/41.98 | (188) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1114_1
% 275.82/41.98 | (189) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1114_0
% 275.82/41.98 |
% 275.82/41.98 | DELTA: instantiating (87) with fresh symbols all_1120_0, all_1120_1 gives:
% 275.82/41.98 | (190) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1120_0 &
% 275.82/41.98 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1120_1 & $i(all_1120_0)
% 275.82/41.98 | & $i(all_1120_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 275.82/41.98 | (c_RComplete_Onatceiling(v0) = v1) | ~ $i(v0) | ~
% 275.82/41.98 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, all_1120_0)
% 275.82/41.98 | | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, all_1120_1)) &
% 275.82/41.98 | ! [v0: $i] : ! [v1: $i] : ( ~ (c_RComplete_Onatceiling(v0) = v1) |
% 275.82/41.98 | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1,
% 275.82/41.98 | all_1120_1) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 275.82/41.98 | v0, all_1120_0))
% 275.82/41.98 |
% 275.82/41.98 | ALPHA: (190) implies:
% 275.82/41.98 | (191) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1120_1
% 275.82/41.98 | (192) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1120_0
% 275.82/41.98 |
% 275.82/41.98 | DELTA: instantiating (42) with fresh symbols all_1126_0, all_1126_1,
% 275.82/41.98 | all_1126_2 gives:
% 275.82/41.98 | (193) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1126_1 &
% 275.82/41.98 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1126_0 &
% 275.82/41.98 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1126_2 &
% 275.82/41.98 | $i(all_1126_0) & $i(all_1126_1) & $i(all_1126_2) & ! [v0: any] : !
% 275.82/41.98 | [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = all_1126_0 | v0 =
% 275.82/41.98 | all_1126_2 | ~ (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,
% 275.82/41.98 | v0) = v1) | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_1126_1, v1) =
% 275.82/41.98 | v2) | ~ $i(v0))
% 275.82/41.98 |
% 275.82/41.98 | ALPHA: (193) implies:
% 275.82/41.98 | (194) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1126_0
% 275.82/41.98 | (195) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1126_1
% 275.82/41.98 |
% 275.82/41.98 | DELTA: instantiating (29) with fresh symbols all_1138_0, all_1138_1 gives:
% 275.82/41.98 | (196) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1138_0 &
% 275.82/41.98 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1138_1 &
% 275.82/41.98 | $i(all_1138_0) & $i(all_1138_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 275.82/41.98 | any] : ! [v3: $i] : ! [v4: $i] : (v2 = all_1138_1 | v1 = v0 | ~
% 275.82/41.98 | (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_1138_0,
% 275.82/41.98 | v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0))
% 275.82/41.98 |
% 275.82/41.98 | ALPHA: (196) implies:
% 275.82/41.98 | (197) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1138_0
% 275.82/41.98 |
% 275.82/41.98 | DELTA: instantiating (47) with fresh symbols all_1161_0, all_1161_1,
% 275.82/41.98 | all_1161_2 gives:
% 275.82/41.98 | (198) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1161_2 &
% 275.82/41.98 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1161_1 &
% 275.82/41.98 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1161_0 &
% 275.82/41.98 | $i(all_1161_0) & $i(all_1161_1) & $i(all_1161_2) & ! [v0: any] : !
% 275.82/41.98 | [v1: any] : ! [v2: $i] : (v1 = all_1161_0 | v0 = all_1161_1 | ~
% 275.82/41.98 | (hAPP(v2, v0) = v1) | ~ (hAPP(all_1161_2, v1) = v2) | ~ $i(v1) |
% 275.82/41.98 | ~ $i(v0))
% 275.82/41.98 |
% 275.82/41.98 | ALPHA: (198) implies:
% 275.82/41.98 | (199) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1161_1
% 275.82/41.98 |
% 275.82/41.98 | DELTA: instantiating (8) with fresh symbols all_1164_0, all_1164_1 gives:
% 275.82/41.98 | (200) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 275.82/41.98 | all_1164_1 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) =
% 275.82/41.98 | all_1164_0 & $i(all_1164_0) & $i(all_1164_1) & ! [v0: $i] : ! [v1:
% 275.82/41.98 | $i] : ( ~ (hAPP(all_1164_0, v0) = v1) | ~ $i(v0) | ? [v2: $i] :
% 275.82/41.98 | ? [v3: $i] : ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 275.82/41.98 | v1) = v3 & $i(v3) &
% 275.82/41.98 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3,
% 275.82/41.98 | v_m____)) |
% 275.82/41.98 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v2 &
% 275.82/41.98 | $i(v2) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 275.82/41.98 | v2, all_1164_1))))
% 275.82/41.98 |
% 275.82/41.98 | ALPHA: (200) implies:
% 275.82/41.98 | (201) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1164_0
% 275.82/41.98 | (202) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 275.82/41.98 | all_1164_1
% 275.82/41.98 |
% 275.82/41.98 | DELTA: instantiating (73) with fresh symbols all_1167_0, all_1167_1,
% 275.82/41.98 | all_1167_2, all_1167_3, all_1167_4, all_1167_5 gives:
% 275.82/41.98 | (203) c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, all_1167_3) =
% 275.82/41.98 | all_1167_2 & c_Polynomial_OpCons(tc_Complex_Ocomplex, all_1167_5,
% 275.82/41.98 | all_1167_2) = all_1167_1 &
% 275.82/41.98 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, all_1167_4) =
% 275.82/41.98 | all_1167_3 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1167_4 &
% 275.82/41.98 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1167_5 &
% 275.82/41.98 | c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1167_1) = all_1167_0 &
% 275.82/41.98 | $i(all_1167_0) & $i(all_1167_1) & $i(all_1167_2) & $i(all_1167_3) &
% 275.82/41.98 | $i(all_1167_4) & $i(all_1167_5) & ~
% 275.82/41.98 | c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,
% 275.82/41.98 | tc_Complex_Ocomplex, all_1167_0)
% 275.82/41.98 |
% 275.82/41.98 | ALPHA: (203) implies:
% 275.82/41.98 | (204) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1167_4
% 275.82/41.98 |
% 275.82/41.98 | DELTA: instantiating (74) with fresh symbols all_1175_0, all_1175_1,
% 275.82/41.98 | all_1175_2, all_1175_3, all_1175_4, all_1175_5 gives:
% 275.82/41.98 | (205) c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, all_1175_2) =
% 275.82/41.98 | all_1175_1 & c_Polynomial_OpCons(tc_Complex_Ocomplex, all_1175_3,
% 275.82/41.98 | all_1175_1) = all_1175_0 &
% 275.82/41.98 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, all_1175_5) =
% 275.82/41.98 | all_1175_2 &
% 275.82/41.98 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 275.82/41.98 | all_1175_0) = all_1175_4 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat,
% 275.82/41.98 | v_k____, all_1175_5) = all_1175_4 &
% 275.82/41.98 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1175_5 &
% 275.82/41.98 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1175_3 &
% 275.82/41.98 | $i(all_1175_0) & $i(all_1175_1) & $i(all_1175_2) & $i(all_1175_3) &
% 275.82/41.98 | $i(all_1175_4) & $i(all_1175_5)
% 275.82/41.98 |
% 275.82/41.98 | ALPHA: (205) implies:
% 275.82/41.98 | (206) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1175_5
% 275.82/41.98 | (207) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_1175_5) =
% 275.82/41.98 | all_1175_4
% 275.82/41.98 |
% 275.82/41.98 | DELTA: instantiating (3) with fresh symbols all_1177_0, all_1177_1,
% 275.82/41.98 | all_1177_2, all_1177_3, all_1177_4, all_1177_5 gives:
% 275.82/41.98 | (208) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1177_5 &
% 275.82/41.98 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1177_2) =
% 275.82/41.98 | all_1177_1 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 275.82/41.98 | v_w____) = all_1177_0 & c_RealVector_Oof__real(tc_Complex_Ocomplex,
% 275.82/41.98 | v_t____) = all_1177_4 & hAPP(all_1177_3, v_w____) = all_1177_2 &
% 275.82/41.98 | hAPP(all_1177_5, all_1177_4) = all_1177_3 & $i(all_1177_0) &
% 275.82/41.98 | $i(all_1177_1) & $i(all_1177_2) & $i(all_1177_3) & $i(all_1177_4) &
% 275.82/41.98 | $i(all_1177_5) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 275.82/41.98 | all_1177_1, all_1177_0)
% 275.82/41.98 |
% 275.82/41.98 | ALPHA: (208) implies:
% 275.82/41.98 | (209) hAPP(all_1177_5, all_1177_4) = all_1177_3
% 275.82/41.98 | (210) hAPP(all_1177_3, v_w____) = all_1177_2
% 275.82/41.98 | (211) c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = all_1177_4
% 275.82/41.98 | (212) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1177_5
% 275.82/41.98 |
% 275.82/41.98 | DELTA: instantiating (30) with fresh symbols all_1213_0, all_1213_1 gives:
% 275.82/41.98 | (213) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1213_0 &
% 275.82/41.98 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1213_1 &
% 275.82/41.98 | $i(all_1213_0) & $i(all_1213_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 275.82/41.98 | any] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v2 = all_1213_1 |
% 275.82/41.98 | v1 = v0 | ~ (hAPP(v5, v2) = v4) | ~ (hAPP(v3, v2) = v4) | ~
% 275.82/41.98 | (hAPP(all_1213_0, v1) = v3) | ~ (hAPP(all_1213_0, v0) = v5) | ~
% 275.82/41.98 | $i(v2) | ~ $i(v1) | ~ $i(v0))
% 275.82/41.98 |
% 275.82/41.98 | ALPHA: (213) implies:
% 275.82/41.98 | (214) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1213_0
% 275.82/41.98 |
% 275.82/41.98 | DELTA: instantiating (58) with fresh symbols all_1222_0, all_1222_1 gives:
% 275.82/41.98 | (215) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1222_0 &
% 275.82/41.98 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1222_1 &
% 275.82/41.98 | $i(all_1222_0) & $i(all_1222_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 275.82/41.98 | $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 275.82/41.98 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v3) | ~
% 275.82/41.98 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1222_0, v0) =
% 275.82/41.98 | v2) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v1) =
% 275.82/41.98 | v4) | ~ $i(v1) | ~ $i(v0) | ~
% 275.82/41.98 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, all_1222_0)
% 275.82/41.98 | | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 275.82/41.98 | all_1222_1, v1) | ~
% 275.82/41.98 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) |
% 275.82/41.98 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, all_1222_0))
% 275.82/41.98 |
% 275.82/41.98 | ALPHA: (215) implies:
% 275.82/41.98 | (216) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1222_0
% 275.82/41.98 |
% 275.82/41.98 | DELTA: instantiating (33) with fresh symbols all_1231_0, all_1231_1 gives:
% 275.82/41.98 | (217) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1231_0 &
% 275.82/41.98 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1231_1 &
% 275.82/41.98 | $i(all_1231_0) & $i(all_1231_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 275.82/41.98 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v3, v1) =
% 275.82/41.98 | v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_1231_0, v2) = v3) |
% 275.82/41.98 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 275.82/41.98 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | ~
% 275.82/41.98 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1231_1, v2) |
% 275.82/41.98 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v5))
% 275.82/41.98 |
% 275.82/41.98 | ALPHA: (217) implies:
% 275.82/41.98 | (218) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1231_0
% 275.82/41.98 |
% 275.82/41.98 | DELTA: instantiating (85) with fresh symbols all_1245_0, all_1245_1,
% 275.82/41.98 | all_1245_2 gives:
% 275.82/41.98 | (219) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1245_1 &
% 275.82/41.98 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1245_0 &
% 275.82/41.98 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1245_2 &
% 275.82/41.98 | $i(all_1245_0) & $i(all_1245_1) & $i(all_1245_2) & ! [v0: $i] : !
% 275.82/41.98 | [v1: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0,
% 275.82/41.98 | all_1245_1) = v1) | ~ $i(v0) | ~
% 275.82/41.98 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1245_2, v0)
% 275.82/41.98 | | ? [v2: $i] : ? [v3: $i] : (c_RComplete_Onatceiling(v1) = v2 &
% 275.82/41.98 | c_RComplete_Onatceiling(v0) = v3 &
% 275.82/41.98 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, all_1245_0) = v2 &
% 275.82/41.98 | $i(v3) & $i(v2)))
% 275.82/41.98 |
% 275.82/41.98 | ALPHA: (219) implies:
% 275.82/41.98 | (220) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1245_0
% 275.82/41.98 | (221) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1245_1
% 275.82/41.98 |
% 275.82/41.98 | DELTA: instantiating (63) with fresh symbols all_1248_0, all_1248_1 gives:
% 275.82/41.98 | (222) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1248_0 &
% 275.82/41.98 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1248_1 &
% 275.82/41.98 | $i(all_1248_0) & $i(all_1248_1) & ! [v0: $i] : ! [v1: any] : !
% 275.82/41.98 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 275.82/41.98 | (v1 = all_1248_1 | ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,
% 275.82/41.98 | v1) = v3) | ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0)
% 275.82/41.98 | = v5) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(all_1248_0, v2) = v4) |
% 275.82/41.98 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 275.82/41.98 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v6) | ~
% 275.82/41.98 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 275.82/41.98 | all_1248_1))
% 275.82/41.98 |
% 275.82/41.98 | ALPHA: (222) implies:
% 275.82/41.98 | (223) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1248_0
% 275.82/41.98 |
% 275.82/41.98 | DELTA: instantiating (93) with fresh symbols all_1269_0, all_1269_1,
% 275.82/41.98 | all_1269_2 gives:
% 275.82/41.98 | (224) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1269_1 &
% 275.82/41.98 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1269_0 &
% 275.82/41.98 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1269_2 &
% 275.82/41.98 | $i(all_1269_0) & $i(all_1269_1) & $i(all_1269_2) & ! [v0: $i] : !
% 275.82/41.98 | [v1: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0,
% 275.82/41.98 | all_1269_1) = v1) | ~ $i(v0) | ~
% 275.82/41.98 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1269_2, v0)
% 275.82/41.98 | | ? [v2: $i] : ? [v3: $i] : (c_RComplete_Onatfloor(v1) = v2 &
% 275.82/41.98 | c_RComplete_Onatfloor(v0) = v3 &
% 275.82/41.98 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, all_1269_0) = v2 &
% 275.82/41.98 | $i(v3) & $i(v2)))
% 275.82/41.98 |
% 275.82/41.98 | ALPHA: (224) implies:
% 275.82/41.98 | (225) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1269_0
% 275.82/41.98 | (226) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1269_1
% 275.82/41.98 |
% 275.82/41.98 | DELTA: instantiating (27) with fresh symbol all_1275_0 gives:
% 275.82/41.99 | (227) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1275_0 &
% 275.82/41.99 | $i(all_1275_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 275.82/41.99 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ (hAPP(v5, v0) =
% 275.82/41.99 | v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_1275_0, v4) = v5) |
% 275.82/41.99 | ~ (hAPP(all_1275_0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 275.82/41.99 | ? [v7: $i] : ? [v8: $i] : (hAPP(v7, v0) = v8 & hAPP(v3, v8) = v6
% 275.82/41.99 | & hAPP(all_1275_0, v1) = v7 & $i(v8) & $i(v7) & $i(v6)))
% 275.82/41.99 |
% 275.82/41.99 | ALPHA: (227) implies:
% 275.82/41.99 | (228) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1275_0
% 275.82/41.99 |
% 275.82/41.99 | DELTA: instantiating (57) with fresh symbols all_1284_0, all_1284_1,
% 275.82/41.99 | all_1284_2, all_1284_3, all_1284_4, all_1284_5, all_1284_6 gives:
% 275.82/41.99 | (229) c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, all_1284_0) =
% 275.82/41.99 | all_1284_1 & c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) =
% 275.82/41.99 | all_1284_6 & c_Power_Opower__class_Opower(tc_Complex_Ocomplex) =
% 275.82/41.99 | all_1284_5 & c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) =
% 275.82/41.99 | all_1284_0 & hAPP(all_1284_2, v_a____) = all_1284_1 &
% 275.82/41.99 | hAPP(all_1284_4, v_k____) = all_1284_3 & hAPP(all_1284_5, v_w____) =
% 275.82/41.99 | all_1284_4 & hAPP(all_1284_6, all_1284_3) = all_1284_2 &
% 275.82/41.99 | $i(all_1284_0) & $i(all_1284_1) & $i(all_1284_2) & $i(all_1284_3) &
% 275.82/41.99 | $i(all_1284_4) & $i(all_1284_5) & $i(all_1284_6)
% 275.82/41.99 |
% 275.82/41.99 | ALPHA: (229) implies:
% 275.82/41.99 | (230) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1284_5
% 275.82/41.99 | (231) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1284_6
% 275.82/41.99 |
% 275.82/41.99 | DELTA: instantiating (110) with fresh symbols all_1288_0, all_1288_1 gives:
% 275.82/41.99 | (232) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1288_0 &
% 275.82/41.99 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1288_1 &
% 275.82/41.99 | $i(all_1288_0) & $i(all_1288_1) & ! [v0: $i] : ( ~ $i(v0) | ~
% 275.82/41.99 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1288_1, v0)
% 275.82/41.99 | | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 275.82/41.99 | (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3 &
% 275.82/41.99 | c_RealDef_Oreal(tc_Nat_Onat, v1) = v4 &
% 275.82/41.99 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_1288_0) = v2 &
% 275.82/41.99 | $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 275.82/41.99 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) &
% 275.82/41.99 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4)))
% 275.82/41.99 |
% 275.82/41.99 | ALPHA: (232) implies:
% 275.82/41.99 | (233) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1288_0
% 275.82/41.99 |
% 275.82/41.99 | DELTA: instantiating (11) with fresh symbols all_1291_0, all_1291_1,
% 275.82/41.99 | all_1291_2, all_1291_3, all_1291_4, all_1291_5, all_1291_6 gives:
% 275.82/41.99 | (234) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1291_6 &
% 275.82/41.99 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 275.82/41.99 | all_1291_4 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1291_2
% 275.82/41.99 | & hAPP(all_1291_1, all_1291_4) = all_1291_0 & hAPP(all_1291_5,
% 275.82/41.99 | all_1291_4) = all_1291_3 & hAPP(all_1291_6, all_1291_2) =
% 275.82/41.99 | all_1291_1 & hAPP(all_1291_6, v_t____) = all_1291_5 & $i(all_1291_0)
% 275.82/41.99 | & $i(all_1291_1) & $i(all_1291_2) & $i(all_1291_3) & $i(all_1291_4) &
% 275.82/41.99 | $i(all_1291_5) & $i(all_1291_6) &
% 275.82/41.99 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1291_3,
% 275.82/41.99 | all_1291_0)
% 275.82/41.99 |
% 275.82/41.99 | ALPHA: (234) implies:
% 275.82/41.99 | (235) hAPP(all_1291_6, v_t____) = all_1291_5
% 275.82/41.99 | (236) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1291_2
% 275.82/41.99 | (237) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 275.82/41.99 | all_1291_4
% 275.82/41.99 | (238) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1291_6
% 275.82/41.99 |
% 275.82/41.99 | DELTA: instantiating (99) with fresh symbols all_1295_0, all_1295_1 gives:
% 275.82/41.99 | (239) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1295_1 &
% 275.82/41.99 | c_Power_Opower__class_Opower(tc_Nat_Onat) = all_1295_0 &
% 275.82/41.99 | $i(all_1295_0) & $i(all_1295_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 275.82/41.99 | $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat,
% 275.82/41.99 | v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_1295_1, v2) =
% 275.82/41.99 | v3) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] :
% 275.82/41.99 | (c_RealDef_Oreal(tc_Nat_Onat, v6) = v4 & hAPP(v5, v0) = v6 &
% 275.82/41.99 | hAPP(all_1295_0, v1) = v5 & $i(v6) & $i(v5) & $i(v4)))
% 275.82/41.99 |
% 275.82/41.99 | ALPHA: (239) implies:
% 275.82/41.99 | (240) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1295_1
% 275.82/41.99 |
% 275.82/41.99 | DELTA: instantiating (111) with fresh symbol all_1298_0 gives:
% 275.82/41.99 | (241) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1298_0 &
% 275.82/41.99 | $i(all_1298_0) & ! [v0: $i] : ( ~ $i(v0) | ~
% 275.82/41.99 | class_RealVector_Oreal__normed__vector(v0) | ~
% 275.82/41.99 | class_RealVector_Oreal__algebra__1(v0) | ? [v1: $i] : ($i(v1) & !
% 275.82/41.99 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 275.82/41.99 | (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, v2) = v3) |
% 275.82/41.99 | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(all_1298_0, v3) = v4) | ~
% 275.82/41.99 | $i(v2) | ? [v6: $i] : ? [v7: $i] :
% 275.82/41.99 | (c_RealVector_Onorm__class_Onorm(v0, v6) = v7 &
% 275.82/41.99 | c_RealVector_Oof__real(v0, v2) = v6 & $i(v7) & $i(v6) &
% 275.82/41.99 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7,
% 275.82/41.99 | v5)))))
% 275.82/41.99 |
% 275.82/41.99 | ALPHA: (241) implies:
% 275.82/41.99 | (242) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1298_0
% 275.82/41.99 |
% 275.82/41.99 | DELTA: instantiating (97) with fresh symbols all_1301_0, all_1301_1 gives:
% 275.82/41.99 | (243) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1301_1 &
% 275.82/41.99 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1301_0 & $i(all_1301_0)
% 275.82/41.99 | & $i(all_1301_1) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 275.82/41.99 | $i] : (v3 = v2 | ~ (c_RComplete_Onatceiling(v0) = v2) | ~
% 275.82/41.99 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, all_1301_0) = v3) |
% 275.82/41.99 | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : ? [v5: $i] :
% 275.82/41.99 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v4 & $i(v4) & ( ~
% 275.82/41.99 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v0) |
% 275.82/41.99 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, all_1301_1)
% 275.82/41.99 | = v5 & $i(v5) & ~
% 275.82/41.99 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 275.82/41.99 | v5)))))
% 275.82/41.99 |
% 275.82/41.99 | ALPHA: (243) implies:
% 275.82/41.99 | (244) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1301_0
% 275.82/41.99 | (245) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1301_1
% 275.82/41.99 |
% 275.82/41.99 | DELTA: instantiating (2) with fresh symbols all_1304_0, all_1304_1 gives:
% 275.82/41.99 | (246) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1304_0 &
% 275.82/41.99 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1304_1 &
% 275.82/41.99 | $i(all_1304_0) & $i(all_1304_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 275.82/41.99 | $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 275.82/41.99 | (c_RealVector_Oof__real(tc_Complex_Ocomplex, v1) = v2) | ~
% 275.82/41.99 | (hAPP(v3, v0) = v4) | ~ (hAPP(all_1304_1, v2) = v3) | ~ $i(v1) |
% 275.82/41.99 | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] :
% 275.82/41.99 | (c_RealVector_Oof__real(tc_Complex_Ocomplex, v6) = v4 & hAPP(v5,
% 275.82/41.99 | v0) = v6 & hAPP(all_1304_0, v1) = v5 & $i(v6) & $i(v5) &
% 275.82/41.99 | $i(v4)))
% 275.82/41.99 |
% 275.82/41.99 | ALPHA: (246) implies:
% 275.82/41.99 | (247) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1304_1
% 275.82/41.99 | (248) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1304_0
% 275.82/41.99 |
% 275.82/41.99 | DELTA: instantiating (98) with fresh symbols all_1315_0, all_1315_1 gives:
% 275.82/41.99 | (249) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1315_0 &
% 275.82/41.99 | c_Power_Opower__class_Opower(tc_Nat_Onat) = all_1315_1 &
% 275.82/41.99 | $i(all_1315_0) & $i(all_1315_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 275.82/41.99 | $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat,
% 275.82/41.99 | v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_1315_0, v2) =
% 275.82/41.99 | v3) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] :
% 275.82/41.99 | (c_RealDef_Oreal(tc_Nat_Onat, v6) = v4 & hAPP(v5, v0) = v6 &
% 275.82/41.99 | hAPP(all_1315_1, v1) = v5 & $i(v6) & $i(v5) & $i(v4)))
% 275.82/41.99 |
% 275.82/41.99 | ALPHA: (249) implies:
% 275.82/41.99 | (250) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1315_0
% 275.82/41.99 |
% 275.82/41.99 | DELTA: instantiating (40) with fresh symbol all_1321_0 gives:
% 275.82/41.99 | (251) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1321_0 &
% 275.82/41.99 | $i(all_1321_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 275.82/41.99 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 275.82/41.99 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v6) = v7) | ~
% 275.82/41.99 | (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_1321_0,
% 275.82/41.99 | v2) = v3) | ~ (hAPP(all_1321_0, v1) = v5) | ~ $i(v2) | ~
% 275.82/41.99 | $i(v1) | ~ $i(v0) | ? [v8: $i] : ? [v9: $i] :
% 275.82/41.99 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v8 &
% 275.82/41.99 | hAPP(v9, v0) = v7 & hAPP(all_1321_0, v8) = v9 & $i(v9) & $i(v8) &
% 275.82/41.99 | $i(v7)))
% 275.82/41.99 |
% 275.82/41.99 | ALPHA: (251) implies:
% 275.82/41.99 | (252) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1321_0
% 275.82/41.99 |
% 275.82/41.99 | DELTA: instantiating (112) with fresh symbols all_1327_0, all_1327_1 gives:
% 275.82/41.99 | (253) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1327_0 &
% 275.82/41.99 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1327_1 &
% 275.82/41.99 | $i(all_1327_0) & $i(all_1327_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 275.82/41.99 | $i] : ! [v3: $i] : ( ~ (c_Groups_Osgn__class_Osgn(v1, v0) = v2) |
% 275.82/41.99 | ~ (c_RealVector_Onorm__class_Onorm(v1, v2) = v3) | ~ $i(v1) | ~
% 275.82/41.99 | $i(v0) | ~ class_RealVector_Oreal__normed__vector(v1) | ? [v4:
% 275.82/41.99 | $i] : ((v3 = all_1327_0 | (v4 = v0 &
% 275.82/41.99 | c_Groups_Ozero__class_Ozero(v1) = v0)) & (v3 = all_1327_1 | (
% 275.82/41.99 | ~ (v4 = v0) & c_Groups_Ozero__class_Ozero(v1) = v4 &
% 275.82/41.99 | $i(v4)))))
% 275.82/41.99 |
% 275.82/41.99 | ALPHA: (253) implies:
% 275.82/41.99 | (254) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1327_0
% 275.82/41.99 |
% 275.82/41.99 | DELTA: instantiating (76) with fresh symbols all_1342_0, all_1342_1,
% 275.82/41.99 | all_1342_2, all_1342_3, all_1342_4, all_1342_5, all_1342_6, all_1342_7
% 275.82/41.99 | gives:
% 275.82/41.99 | (255) c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, all_1342_5) =
% 275.82/41.99 | all_1342_4 & c_Polynomial_OpCons(tc_Complex_Ocomplex, all_1342_7,
% 275.82/41.99 | all_1342_4) = all_1342_3 &
% 275.82/41.99 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, all_1342_6) =
% 275.82/41.99 | all_1342_5 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1342_6 &
% 275.82/41.99 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1342_7 &
% 275.82/41.99 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1342_1 &
% 275.82/41.99 | c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1342_3) = all_1342_2 &
% 275.82/41.99 | hAPP(all_1342_2, all_1342_0) = all_1342_1 & $i(all_1342_0) &
% 275.82/41.99 | $i(all_1342_1) & $i(all_1342_2) & $i(all_1342_3) & $i(all_1342_4) &
% 275.82/41.99 | $i(all_1342_5) & $i(all_1342_6) & $i(all_1342_7)
% 275.82/41.99 |
% 275.82/41.99 | ALPHA: (255) implies:
% 275.82/41.99 | (256) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1342_6
% 275.82/41.99 |
% 275.82/41.99 | DELTA: instantiating (100) with fresh symbols all_1344_0, all_1344_1 gives:
% 275.82/41.99 | (257) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1344_0 &
% 275.82/41.99 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1344_1 &
% 275.82/41.99 | $i(all_1344_0) & $i(all_1344_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 275.82/41.99 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 275.82/41.99 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~
% 275.82/41.99 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v4) | ~ (hAPP(v3, v4) = v5) |
% 275.82/41.99 | ~ (hAPP(all_1344_0, v2) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i]
% 275.82/41.99 | : ? [v7: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v7) = v5 & hAPP(v6,
% 275.82/41.99 | v0) = v7 & hAPP(all_1344_1, v1) = v6 & $i(v7) & $i(v6) &
% 275.82/41.99 | $i(v5)))
% 275.82/41.99 |
% 275.82/41.99 | ALPHA: (257) implies:
% 275.82/41.99 | (258) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1344_0
% 275.82/41.99 |
% 275.82/41.99 | DELTA: instantiating (83) with fresh symbols all_1353_0, all_1353_1,
% 275.82/41.99 | all_1353_2, all_1353_3 gives:
% 275.82/41.99 | (259) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 275.82/41.99 | all_1353_2 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 275.82/41.99 | all_1353_3 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) =
% 275.82/41.99 | all_1353_1 & $i(all_1353_0) & $i(all_1353_1) & $i(all_1353_2) &
% 275.82/41.99 | $i(all_1353_3) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 275.82/41.99 | all_1353_3, all_1353_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 275.82/41.99 | (hAPP(all_1353_1, v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i]
% 275.82/41.99 | : ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v3 &
% 275.82/41.99 | $i(v3) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 275.82/41.99 | v3, all_1353_0)) |
% 275.82/41.99 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v2 &
% 275.82/41.99 | $i(v2) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 275.82/41.99 | v2, all_1353_2))))
% 275.82/41.99 |
% 275.82/41.99 | ALPHA: (259) implies:
% 275.82/41.99 | (260) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 275.82/41.99 | all_1353_2
% 275.82/41.99 |
% 275.82/41.99 | DELTA: instantiating (83) with fresh symbols all_1356_0, all_1356_1,
% 275.82/41.99 | all_1356_2, all_1356_3 gives:
% 275.82/41.99 | (261) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 275.82/41.99 | all_1356_2 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 275.82/41.99 | all_1356_3 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) =
% 275.82/41.99 | all_1356_1 & $i(all_1356_0) & $i(all_1356_1) & $i(all_1356_2) &
% 275.82/41.99 | $i(all_1356_3) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 275.82/41.99 | all_1356_3, all_1356_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 275.82/41.99 | (hAPP(all_1356_1, v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i]
% 275.82/41.99 | : ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v3 &
% 275.82/41.99 | $i(v3) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 275.82/41.99 | v3, all_1356_0)) |
% 275.82/41.99 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v2 &
% 275.82/41.99 | $i(v2) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 275.82/41.99 | v2, all_1356_2))))
% 275.82/41.99 |
% 275.82/41.99 | ALPHA: (261) implies:
% 275.82/41.99 | (262) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 275.82/41.99 | all_1356_2
% 275.82/41.99 |
% 275.82/41.99 | DELTA: instantiating (18) with fresh symbols all_1362_0, all_1362_1 gives:
% 275.82/41.99 | (263) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1362_0 &
% 275.82/41.99 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1362_1 &
% 275.82/41.99 | $i(all_1362_0) & $i(all_1362_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 275.82/41.99 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 275.82/41.99 | [v7: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v3, v1) = v4) | ~
% 275.82/41.99 | (c_RealVector_Onorm__class_Onorm(v3, v0) = v6) | ~ (hAPP(v5, v6) =
% 275.82/41.99 | v7) | ~ (hAPP(all_1362_0, v2) = v5) | ~ $i(v3) | ~ $i(v2) | ~
% 275.82/41.99 | $i(v1) | ~ $i(v0) | ~ class_RealVector_Oreal__normed__vector(v3)
% 275.82/41.99 | | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v7) |
% 275.82/41.99 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 275.82/41.99 | all_1362_1) | c_Groups_Ozero__class_Ozero(v3) = v1)
% 275.82/41.99 |
% 275.82/41.99 | ALPHA: (263) implies:
% 275.82/41.99 | (264) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1362_0
% 275.82/41.99 |
% 275.82/41.99 | DELTA: instantiating (9) with fresh symbol all_1374_0 gives:
% 275.82/41.99 | (265) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1374_0 &
% 275.82/41.99 | $i(all_1374_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 275.82/41.99 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 275.82/41.99 | (c_Groups_Otimes__class_Otimes(v2) = v3) | ~
% 275.82/41.99 | (c_RealVector_Oof__real(v2, v1) = v4) | ~
% 275.82/41.99 | (c_RealVector_Oof__real(v2, v0) = v6) | ~ (hAPP(v5, v6) = v7) | ~
% 275.82/41.99 | (hAPP(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 275.82/41.99 | class_RealVector_Oreal__algebra__1(v2) | ? [v8: $i] : ? [v9: $i]
% 275.82/41.99 | : (c_RealVector_Oof__real(v2, v9) = v7 & hAPP(v8, v0) = v9 &
% 275.82/41.99 | hAPP(all_1374_0, v1) = v8 & $i(v9) & $i(v8) & $i(v7)))
% 275.82/41.99 |
% 275.82/41.99 | ALPHA: (265) implies:
% 275.82/41.99 | (266) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1374_0
% 275.82/41.99 |
% 275.82/41.99 | DELTA: instantiating (38) with fresh symbols all_1386_0, all_1386_1,
% 275.82/41.99 | all_1386_2, all_1386_3, all_1386_4, all_1386_5, all_1386_6, all_1386_7
% 275.82/41.99 | gives:
% 275.82/41.99 | (267) c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1386_7,
% 275.82/41.99 | all_1386_1) = all_1386_0 &
% 275.82/41.99 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1386_6 &
% 275.82/41.99 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1386_5 &
% 275.82/41.99 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1386_7 &
% 275.82/41.99 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1386_0 &
% 275.82/41.99 | hAPP(all_1386_2, v_a____) = all_1386_1 & hAPP(all_1386_4, v_k____) =
% 275.82/41.99 | all_1386_3 & hAPP(all_1386_5, v_w____) = all_1386_4 &
% 275.82/41.99 | hAPP(all_1386_6, all_1386_3) = all_1386_2 & $i(all_1386_0) &
% 275.82/41.99 | $i(all_1386_1) & $i(all_1386_2) & $i(all_1386_3) & $i(all_1386_4) &
% 275.82/41.99 | $i(all_1386_5) & $i(all_1386_6) & $i(all_1386_7)
% 275.82/41.99 |
% 275.82/41.99 | ALPHA: (267) implies:
% 275.82/42.00 | (268) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1386_5
% 275.82/42.00 | (269) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1386_6
% 275.82/42.00 |
% 275.82/42.00 | DELTA: instantiating (43) with fresh symbols all_1391_0, all_1391_1 gives:
% 275.82/42.00 | (270) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1391_1 &
% 275.82/42.00 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1391_0 & $i(all_1391_0)
% 275.82/42.00 | & $i(all_1391_1) & ! [v0: $i] : ! [v1: any] : ! [v2: $i] : (v1 =
% 275.82/42.00 | all_1391_0 | ~ (hAPP(v2, v0) = all_1391_0) | ~ (hAPP(all_1391_1,
% 275.82/42.00 | v1) = v2) | ~ $i(v1) | ~ $i(v0)) & ! [v0: any] : ! [v1: $i]
% 275.82/42.00 | : ! [v2: $i] : (v0 = all_1391_0 | ~ (hAPP(v2, v0) = all_1391_0) |
% 275.82/42.00 | ~ (hAPP(all_1391_1, v1) = v2) | ~ $i(v1) | ~ $i(v0)) & ! [v0:
% 275.82/42.00 | $i] : ! [v1: int] : (v1 = all_1391_0 | ~ (hAPP(v0, all_1391_0) =
% 275.82/42.00 | v1) | ~ (hAPP(all_1391_1, all_1391_0) = v0))
% 275.82/42.00 |
% 275.82/42.00 | ALPHA: (270) implies:
% 275.82/42.00 | (271) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1391_0
% 275.82/42.00 |
% 275.82/42.00 | DELTA: instantiating (45) with fresh symbols all_1394_0, all_1394_1 gives:
% 275.82/42.00 | (272) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1394_0 &
% 275.82/42.00 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1394_1 & $i(all_1394_0)
% 275.82/42.00 | & $i(all_1394_1) & ! [v0: $i] : ! [v1: any] : ! [v2: $i] : (v1 =
% 275.82/42.00 | all_1394_1 | ~ (hAPP(v2, v0) = all_1394_1) | ~ (hAPP(all_1394_0,
% 275.82/42.00 | v1) = v2) | ~ $i(v1) | ~ $i(v0)) & ! [v0: any] : ! [v1: $i]
% 275.82/42.00 | : ! [v2: $i] : (v0 = all_1394_1 | ~ (hAPP(v2, v0) = all_1394_1) |
% 275.82/42.00 | ~ (hAPP(all_1394_0, v1) = v2) | ~ $i(v1) | ~ $i(v0)) & ! [v0:
% 275.82/42.00 | $i] : ! [v1: int] : (v1 = all_1394_1 | ~ (hAPP(v0, all_1394_1) =
% 275.82/42.00 | v1) | ~ (hAPP(all_1394_0, all_1394_1) = v0))
% 275.82/42.00 |
% 275.82/42.00 | ALPHA: (272) implies:
% 275.82/42.00 | (273) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1394_1
% 275.82/42.00 |
% 275.82/42.00 | DELTA: instantiating (6) with fresh symbol all_1397_0 gives:
% 275.82/42.00 | (274) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1397_0 &
% 275.82/42.00 | $i(all_1397_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 275.82/42.00 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 275.82/42.00 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ (hAPP(v4, v0) =
% 275.82/42.00 | v5) | ~ (hAPP(all_1397_0, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 275.82/42.00 | $i(v0) | ~ class_RealVector_Oreal__normed__div__algebra(v2) | ?
% 275.82/42.00 | [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 275.82/42.00 | (c_RealVector_Onorm__class_Onorm(v2, v8) = v5 &
% 275.82/42.00 | c_Power_Opower__class_Opower(v2) = v6 & hAPP(v7, v0) = v8 &
% 275.82/42.00 | hAPP(v6, v1) = v7 & $i(v8) & $i(v7) & $i(v6) & $i(v5)))
% 275.82/42.00 |
% 275.82/42.00 | ALPHA: (274) implies:
% 275.82/42.00 | (275) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1397_0
% 275.82/42.00 |
% 275.82/42.00 | DELTA: instantiating (5) with fresh symbol all_1400_0 gives:
% 275.82/42.00 | (276) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1400_0 &
% 275.82/42.00 | $i(all_1400_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 275.82/42.00 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (c_RealVector_Oof__real(v2,
% 275.82/42.00 | v4) = v5) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_1400_0, v1) =
% 275.82/42.00 | v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 275.82/42.00 | class_RealVector_Oreal__algebra__1(v2) | ? [v6: $i] : ? [v7: $i]
% 275.82/42.00 | : ? [v8: $i] : (c_Power_Opower__class_Opower(v2) = v6 &
% 275.82/42.00 | c_RealVector_Oof__real(v2, v1) = v7 & hAPP(v8, v0) = v5 &
% 275.82/42.00 | hAPP(v6, v7) = v8 & $i(v8) & $i(v7) & $i(v6) & $i(v5)))
% 275.82/42.00 |
% 275.82/42.00 | ALPHA: (276) implies:
% 275.82/42.00 | (277) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1400_0
% 275.82/42.00 |
% 275.82/42.00 | DELTA: instantiating (103) with fresh symbol all_1406_0 gives:
% 275.82/42.00 | (278) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1406_0 &
% 275.82/42.00 | $i(all_1406_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 275.82/42.00 | $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~
% 275.82/42.00 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v3) | ~ $i(v1) | ~ $i(v0) |
% 275.82/42.00 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ? [v4: $i]
% 275.82/42.00 | : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, all_1406_0) =
% 275.82/42.00 | v4 & $i(v4) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 275.82/42.00 | v4, v3))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 275.82/42.00 | $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~
% 275.82/42.00 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v3) | ~ $i(v1) | ~ $i(v0) |
% 275.82/42.00 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ? [v4: $i] :
% 275.82/42.00 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, all_1406_0) = v4
% 275.82/42.00 | & $i(v4) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 275.82/42.00 | v4, v3)))
% 275.82/42.00 |
% 275.82/42.00 | ALPHA: (278) implies:
% 275.82/42.00 | (279) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1406_0
% 275.82/42.00 |
% 275.82/42.00 | DELTA: instantiating (104) with fresh symbol all_1409_0 gives:
% 275.82/42.00 | (280) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1409_0 &
% 275.82/42.00 | $i(all_1409_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 275.82/42.00 | $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~
% 275.82/42.00 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v3) | ~ $i(v1) | ~ $i(v0) |
% 275.82/42.00 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | ? [v4:
% 275.82/42.00 | $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3,
% 275.82/42.00 | all_1409_0) = v4 & $i(v4) &
% 275.82/42.00 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v4))) & !
% 275.82/42.00 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 275.82/42.00 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~
% 275.82/42.00 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v3) | ~ $i(v1) | ~ $i(v0) |
% 275.82/42.00 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | ? [v4:
% 275.82/42.00 | $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3,
% 275.82/42.00 | all_1409_0) = v4 & $i(v4) & ~
% 275.82/42.00 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v4)))
% 275.82/42.00 |
% 275.82/42.00 | ALPHA: (280) implies:
% 275.82/42.00 | (281) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1409_0
% 275.82/42.00 |
% 275.82/42.00 | DELTA: instantiating (10) with fresh symbol all_1412_0 gives:
% 275.82/42.00 | (282) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1412_0 &
% 275.82/42.00 | $i(all_1412_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 275.82/42.00 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 275.82/42.00 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~
% 275.82/42.00 | (c_RealVector_Onorm__class_Onorm(v2, v0) = v5) | ~ (hAPP(v4, v5) =
% 275.82/42.00 | v6) | ~ (hAPP(all_1412_0, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 275.82/42.00 | $i(v0) | ~ class_RealVector_Oreal__normed__div__algebra(v2) | ?
% 275.82/42.00 | [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 275.82/42.00 | (c_Groups_Otimes__class_Otimes(v2) = v7 &
% 275.82/42.00 | c_RealVector_Onorm__class_Onorm(v2, v9) = v6 & hAPP(v8, v0) = v9
% 275.82/42.00 | & hAPP(v7, v1) = v8 & $i(v9) & $i(v8) & $i(v7) & $i(v6)))
% 275.82/42.00 |
% 275.82/42.00 | ALPHA: (282) implies:
% 275.82/42.00 | (283) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1412_0
% 275.82/42.00 |
% 275.82/42.00 | DELTA: instantiating (15) with fresh symbol all_1424_0 gives:
% 275.82/42.00 | (284) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1424_0 &
% 275.82/42.00 | $i(all_1424_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 275.82/42.00 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 275.82/42.00 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ (hAPP(v4, v0) =
% 275.82/42.00 | v5) | ~ (hAPP(all_1424_0, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 275.82/42.00 | $i(v0) | ~ class_RealVector_Oreal__normed__algebra__1(v2) | ?
% 275.82/42.00 | [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 275.82/42.00 | (c_RealVector_Onorm__class_Onorm(v2, v8) = v9 &
% 275.82/42.00 | c_Power_Opower__class_Opower(v2) = v6 & hAPP(v7, v0) = v8 &
% 275.82/42.00 | hAPP(v6, v1) = v7 & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 275.82/42.00 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9, v5)))
% 275.82/42.00 |
% 275.82/42.00 | ALPHA: (284) implies:
% 275.82/42.00 | (285) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1424_0
% 275.82/42.00 |
% 275.82/42.00 | DELTA: instantiating (53) with fresh symbols all_1427_0, all_1427_1,
% 275.82/42.00 | all_1427_2, all_1427_3, all_1427_4, all_1427_5, all_1427_6, all_1427_7,
% 275.82/42.00 | all_1427_8 gives:
% 275.82/42.00 | (286) c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1427_8,
% 275.82/42.00 | all_1427_0) = all_1427_5 &
% 275.82/42.00 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1427_7 &
% 275.82/42.00 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1427_6 &
% 275.82/42.00 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1427_8 &
% 275.82/42.00 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1427_5 &
% 275.82/42.00 | hAPP(all_1427_1, v_a____) = all_1427_0 & hAPP(all_1427_3, v_k____) =
% 275.82/42.00 | all_1427_2 & hAPP(all_1427_6, all_1427_4) = all_1427_3 &
% 275.82/42.00 | hAPP(all_1427_7, all_1427_2) = all_1427_1 & $i(all_1427_0) &
% 275.82/42.00 | $i(all_1427_1) & $i(all_1427_2) & $i(all_1427_3) & $i(all_1427_4) &
% 275.82/42.00 | $i(all_1427_5) & $i(all_1427_6) & $i(all_1427_7) & $i(all_1427_8)
% 275.82/42.00 |
% 275.82/42.00 | ALPHA: (286) implies:
% 276.51/42.00 | (287) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1427_6
% 276.51/42.00 | (288) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1427_7
% 276.51/42.00 |
% 276.51/42.00 | DELTA: instantiating (88) with fresh symbols all_1429_0, all_1429_1 gives:
% 276.51/42.00 | (289) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1429_0 &
% 276.51/42.00 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1429_1 &
% 276.51/42.00 | $i(all_1429_0) & $i(all_1429_1) & ! [v0: $i] : ( ~ $i(v0) | ~
% 276.51/42.00 | class_RealVector_Oreal__normed__vector(v0) | ~
% 276.51/42.00 | class_RealVector_Oreal__algebra__1(v0) | ? [v1: $i] : ($i(v1) &
% 276.51/42.00 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1429_1,
% 276.51/42.00 | v1) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (
% 276.51/42.00 | ~ (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, v2) = v3)
% 276.51/42.00 | | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(all_1429_0, v3) = v4) | ~
% 276.51/42.00 | $i(v2) | ? [v6: $i] : ? [v7: $i] :
% 276.51/42.00 | (c_RealVector_Onorm__class_Onorm(v0, v6) = v7 &
% 276.51/42.00 | c_RealVector_Oof__real(v0, v2) = v6 & $i(v7) & $i(v6) &
% 276.51/42.00 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7,
% 276.51/42.00 | v5)))))
% 276.51/42.00 |
% 276.51/42.00 | ALPHA: (289) implies:
% 276.51/42.00 | (290) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1429_0
% 276.51/42.00 |
% 276.51/42.00 | DELTA: instantiating (68) with fresh symbols all_1435_0, all_1435_1 gives:
% 276.51/42.00 | (291) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1435_0 &
% 276.51/42.00 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1435_1 &
% 276.51/42.00 | $i(all_1435_0) & $i(all_1435_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 276.51/42.00 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 276.51/42.00 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 276.51/42.00 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_1435_0) = v6) |
% 276.51/42.00 | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~
% 276.51/42.00 | (c_Power_Opower__class_Opower(v2) = v4) | ~ (hAPP(v8, v0) = v9) |
% 276.51/42.00 | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v7) =
% 276.51/42.00 | v8) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 276.51/42.00 | class_Groups_Omonoid__mult(v2) | ~
% 276.51/42.00 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1435_1, v1) |
% 276.51/42.00 | (hAPP(v5, v1) = v9 & $i(v9)))
% 276.51/42.00 |
% 276.51/42.00 | ALPHA: (291) implies:
% 276.51/42.00 | (292) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1435_0
% 276.51/42.00 |
% 276.51/42.00 | DELTA: instantiating (80) with fresh symbols all_1441_0, all_1441_1 gives:
% 276.52/42.00 | (293) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1441_0 &
% 276.52/42.00 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1441_1 &
% 276.52/42.00 | $i(all_1441_0) & $i(all_1441_1) & ! [v0: $i] : ( ~ $i(v0) | ~
% 276.52/42.00 | class_RealVector_Oreal__normed__vector(v0) | ~
% 276.52/42.00 | class_RealVector_Oreal__algebra__1(v0) | ? [v1: $i] : ($i(v1) &
% 276.52/42.00 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1441_1, v1) &
% 276.52/42.00 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 276.52/42.00 | (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, v2) = v3) |
% 276.52/42.00 | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(all_1441_0, v3) = v4) | ~
% 276.52/42.00 | $i(v2) | ? [v6: $i] : ? [v7: $i] :
% 276.52/42.00 | (c_RealVector_Onorm__class_Onorm(v0, v6) = v7 &
% 276.52/42.00 | c_RealVector_Oof__real(v0, v2) = v6 & $i(v7) & $i(v6) &
% 276.52/42.00 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7,
% 276.52/42.00 | v5)))))
% 276.52/42.00 |
% 276.52/42.00 | ALPHA: (293) implies:
% 276.52/42.00 | (294) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1441_0
% 276.52/42.00 |
% 276.52/42.00 | DELTA: instantiating (54) with fresh symbols all_1450_0, all_1450_1,
% 276.52/42.00 | all_1450_2, all_1450_3, all_1450_4, all_1450_5, all_1450_6, all_1450_7,
% 276.52/42.00 | all_1450_8 gives:
% 276.52/42.00 | (295) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1450_1, v_q____) =
% 276.52/42.00 | all_1450_0 & c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,
% 276.52/42.00 | all_1450_2) = all_1450_1 &
% 276.52/42.00 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 276.52/42.00 | all_1450_0) = all_1450_5 &
% 276.52/42.00 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 276.52/42.00 | v_s____) = all_1450_8 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat,
% 276.52/42.00 | all_1450_7, all_1450_6) = all_1450_5 &
% 276.52/42.00 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_1450_8, v_k____) =
% 276.52/42.00 | all_1450_7 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1450_6 &
% 276.52/42.00 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1450_3 &
% 276.52/42.00 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = all_1450_4 &
% 276.52/42.00 | hAPP(all_1450_4, all_1450_3) = all_1450_2 & $i(all_1450_0) &
% 276.52/42.00 | $i(all_1450_1) & $i(all_1450_2) & $i(all_1450_3) & $i(all_1450_4) &
% 276.52/42.00 | $i(all_1450_5) & $i(all_1450_6) & $i(all_1450_7) & $i(all_1450_8)
% 276.52/42.00 |
% 276.52/42.00 | ALPHA: (295) implies:
% 276.52/42.00 | (296) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1450_6
% 276.52/42.00 |
% 276.52/42.00 | DELTA: instantiating (14) with fresh symbol all_1452_0 gives:
% 276.52/42.00 | (297) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1452_0 &
% 276.52/42.00 | $i(all_1452_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 276.52/42.00 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 276.52/42.00 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~
% 276.52/42.00 | (c_RealVector_Onorm__class_Onorm(v2, v0) = v5) | ~ (hAPP(v4, v5) =
% 276.52/42.00 | v6) | ~ (hAPP(all_1452_0, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 276.52/42.00 | $i(v0) | ~ class_RealVector_Oreal__normed__algebra(v2) | ? [v7:
% 276.52/42.00 | $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] :
% 276.52/42.00 | (c_Groups_Otimes__class_Otimes(v2) = v7 &
% 276.52/42.00 | c_RealVector_Onorm__class_Onorm(v2, v9) = v10 & hAPP(v8, v0) = v9
% 276.52/42.00 | & hAPP(v7, v1) = v8 & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 276.52/42.00 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v6)))
% 276.52/42.00 |
% 276.52/42.00 | ALPHA: (297) implies:
% 276.52/42.00 | (298) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1452_0
% 276.52/42.00 |
% 276.52/42.00 | DELTA: instantiating (102) with fresh symbols all_1455_0, all_1455_1 gives:
% 276.52/42.00 | (299) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1455_1 &
% 276.52/42.00 | c_Power_Opower__class_Opower(tc_Nat_Onat) = all_1455_0 &
% 276.52/42.00 | $i(all_1455_0) & $i(all_1455_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 276.52/42.00 | $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (c_RComplete_Onatfloor(v1) =
% 276.52/42.00 | v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_1455_0, v2) = v3) |
% 276.52/42.00 | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ?
% 276.52/42.00 | [v8: $i] : ((v8 = v4 & c_RComplete_Onatfloor(v7) = v4 & hAPP(v6,
% 276.52/42.00 | v0) = v7 & hAPP(all_1455_1, v1) = v6 & $i(v7) & $i(v6) &
% 276.52/42.00 | $i(v4)) | ( ~ (v5 = v1) & c_RealDef_Oreal(tc_Nat_Onat, v2) = v5
% 276.52/42.00 | & $i(v5))))
% 276.52/42.00 |
% 276.52/42.00 | ALPHA: (299) implies:
% 276.52/42.00 | (300) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1455_1
% 276.52/42.00 |
% 276.52/42.00 | DELTA: instantiating (59) with fresh symbols all_1461_0, all_1461_1,
% 276.52/42.00 | all_1461_2, all_1461_3, all_1461_4, all_1461_5, all_1461_6, all_1461_7,
% 276.52/42.00 | all_1461_8 gives:
% 276.52/42.00 | (301) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1461_4, v_q____) =
% 276.52/42.00 | all_1461_3 & c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,
% 276.52/42.00 | all_1461_6) = all_1461_4 &
% 276.52/42.00 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1461_5 &
% 276.52/42.00 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1461_7 &
% 276.52/42.00 | c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1461_3) = all_1461_2 &
% 276.52/42.00 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = all_1461_8 &
% 276.52/42.00 | hAPP(all_1461_0, all_1461_6) = all_1461_6 & hAPP(all_1461_2,
% 276.52/42.00 | all_1461_7) = all_1461_1 & hAPP(all_1461_5, all_1461_1) =
% 276.52/42.00 | all_1461_0 & hAPP(all_1461_8, all_1461_7) = all_1461_6 &
% 276.52/42.00 | $i(all_1461_0) & $i(all_1461_1) & $i(all_1461_2) & $i(all_1461_3) &
% 276.52/42.00 | $i(all_1461_4) & $i(all_1461_5) & $i(all_1461_6) & $i(all_1461_7) &
% 276.52/42.00 | $i(all_1461_8)
% 276.52/42.00 |
% 276.52/42.00 | ALPHA: (301) implies:
% 276.52/42.00 | (302) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1461_5
% 276.52/42.00 |
% 276.52/42.00 | DELTA: instantiating (92) with fresh symbols all_1474_0, all_1474_1 gives:
% 276.52/42.01 | (303) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1474_0 &
% 276.52/42.01 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1474_1 &
% 276.52/42.01 | $i(all_1474_0) & $i(all_1474_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 276.52/42.01 | $i] : ! [v3: $i] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) |
% 276.52/42.01 | ~ (hAPP(v2, v0) = v3) | ~ $i(v1) | ~ $i(v0) | ~
% 276.52/42.01 | class_RealVector_Oreal__normed__algebra(v1) | ? [v4: $i] : ($i(v4)
% 276.52/42.01 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1474_1, v4)
% 276.52/42.01 | & ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 276.52/42.01 | (c_RealVector_Onorm__class_Onorm(v1, v5) = v6) | ~ (hAPP(v7,
% 276.52/42.01 | v4) = v8) | ~ (hAPP(all_1474_0, v6) = v7) | ~ $i(v5) | ?
% 276.52/42.01 | [v9: $i] : ? [v10: $i] : (c_RealVector_Onorm__class_Onorm(v1,
% 276.52/42.01 | v9) = v10 & hAPP(v3, v5) = v9 & $i(v10) & $i(v9) &
% 276.52/42.01 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10,
% 276.52/42.01 | v8)))))
% 276.52/42.01 |
% 276.52/42.01 | ALPHA: (303) implies:
% 276.52/42.01 | (304) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1474_0
% 276.52/42.01 |
% 276.52/42.01 | DELTA: instantiating (96) with fresh symbols all_1480_0, all_1480_1,
% 276.52/42.01 | all_1480_2 gives:
% 276.52/42.01 | (305) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1480_0 &
% 276.52/42.01 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1480_1 &
% 276.52/42.01 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1480_2 &
% 276.52/42.01 | $i(all_1480_0) & $i(all_1480_1) & $i(all_1480_2) & ! [v0: $i] : !
% 276.52/42.01 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (
% 276.52/42.01 | ~ (c_RComplete_Onatfloor(v1) = v2) | ~ (c_RComplete_Onatfloor(v0)
% 276.52/42.01 | = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(all_1480_1, v2) = v3) |
% 276.52/42.01 | ~ $i(v1) | ~ $i(v0) | ~
% 276.52/42.01 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1480_2, v1)
% 276.52/42.01 | | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 276.52/42.01 | all_1480_2, v0) | ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 276.52/42.01 | (c_RComplete_Onatfloor(v7) = v8 & hAPP(v6, v0) = v7 &
% 276.52/42.01 | hAPP(all_1480_0, v1) = v6 & $i(v8) & $i(v7) & $i(v6) &
% 276.52/42.01 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v8)))
% 276.52/42.01 |
% 276.52/42.01 | ALPHA: (305) implies:
% 276.52/42.01 | (306) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1480_0
% 276.52/42.01 |
% 276.52/42.01 | DELTA: instantiating (56) with fresh symbols all_1483_0, all_1483_1,
% 276.52/42.01 | all_1483_2, all_1483_3, all_1483_4, all_1483_5, all_1483_6, all_1483_7,
% 276.52/42.01 | all_1483_8, all_1483_9 gives:
% 276.52/42.01 | (307) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1483_0,
% 276.52/42.01 | all_1483_9) = all_1483_1 &
% 276.52/42.01 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1483_2,
% 276.52/42.01 | all_1483_9) = all_1483_1 &
% 276.52/42.01 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1483_9,
% 276.52/42.01 | all_1483_3) = all_1483_2 &
% 276.52/42.01 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1483_8 &
% 276.52/42.01 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1483_7 &
% 276.52/42.01 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1483_9 &
% 276.52/42.01 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1483_0 &
% 276.52/42.01 | hAPP(all_1483_4, v_a____) = all_1483_3 & hAPP(all_1483_6, v_k____) =
% 276.52/42.01 | all_1483_5 & hAPP(all_1483_7, v_w____) = all_1483_6 &
% 276.52/42.01 | hAPP(all_1483_8, all_1483_5) = all_1483_4 & $i(all_1483_0) &
% 276.52/42.01 | $i(all_1483_1) & $i(all_1483_2) & $i(all_1483_3) & $i(all_1483_4) &
% 276.52/42.01 | $i(all_1483_5) & $i(all_1483_6) & $i(all_1483_7) & $i(all_1483_8) &
% 276.52/42.01 | $i(all_1483_9)
% 276.52/42.01 |
% 276.52/42.01 | ALPHA: (307) implies:
% 276.52/42.01 | (308) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1483_7
% 276.52/42.01 | (309) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1483_8
% 276.52/42.01 |
% 276.52/42.01 | DELTA: instantiating (91) with fresh symbols all_1485_0, all_1485_1 gives:
% 276.52/42.01 | (310) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1485_0 &
% 276.52/42.01 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1485_1 &
% 276.52/42.01 | $i(all_1485_0) & $i(all_1485_1) & ? [v0: $i] : ! [v1: $i] : ! [v2:
% 276.52/42.01 | $i] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ $i(v1) | ~
% 276.52/42.01 | $i(v0) | ~ class_RealVector_Oreal__normed__algebra(v1) | ? [v3:
% 276.52/42.01 | $i] : ($i(v3) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 276.52/42.01 | all_1485_1, v3) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 276.52/42.01 | [v7: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v1, v4) = v5) |
% 276.52/42.01 | ~ (hAPP(v6, v3) = v7) | ~ (hAPP(all_1485_0, v5) = v6) | ~
% 276.52/42.01 | $i(v4) | ? [v8: $i] : ? [v9: $i] : ? [v10: $i] :
% 276.52/42.01 | (c_RealVector_Onorm__class_Onorm(v1, v9) = v10 & hAPP(v8, v0) =
% 276.52/42.01 | v9 & hAPP(v2, v4) = v8 & $i(v10) & $i(v9) & $i(v8) &
% 276.52/42.01 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10,
% 276.52/42.01 | v7)))))
% 276.52/42.01 |
% 276.52/42.01 | ALPHA: (310) implies:
% 276.52/42.01 | (311) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1485_0
% 276.52/42.01 |
% 276.52/42.01 | DELTA: instantiating (66) with fresh symbols all_1490_0, all_1490_1,
% 276.52/42.01 | all_1490_2 gives:
% 276.52/42.01 | (312) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1490_1 &
% 276.52/42.01 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1490_0 &
% 276.52/42.01 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1490_2 &
% 276.52/42.01 | $i(all_1490_0) & $i(all_1490_1) & $i(all_1490_2) & ! [v0: $i] : !
% 276.52/42.01 | [v1: any] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 276.52/42.01 | (v1 = all_1490_2 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1,
% 276.52/42.01 | all_1490_0) = v2) | ~
% 276.52/42.01 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v4) = v5) | ~
% 276.52/42.01 | (hAPP(v3, v0) = v4) | ~ (hAPP(all_1490_1, v2) = v3) | ~ $i(v1) |
% 276.52/42.01 | ~ $i(v0) | ? [v6: $i] : (hAPP(v6, v0) = v5 & hAPP(all_1490_1, v1)
% 276.52/42.01 | = v6 & $i(v6) & $i(v5))) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 276.52/42.01 | int] : (v2 = all_1490_2 | ~ (hAPP(v1, v0) = v2) | ~
% 276.52/42.01 | (hAPP(all_1490_1, all_1490_2) = v1) | ~ $i(v0))
% 276.52/42.01 |
% 276.52/42.01 | ALPHA: (312) implies:
% 276.52/42.01 | (313) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1490_0
% 276.52/42.01 |
% 276.52/42.01 | DELTA: instantiating (7) with fresh symbol all_1496_0 gives:
% 276.52/42.01 | (314) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1496_0 &
% 276.52/42.01 | $i(all_1496_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 276.52/42.01 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 276.52/42.01 | [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 276.52/42.01 | (c_Groups_Otimes__class_Otimes(v4) = v5) | ~
% 276.52/42.01 | (c_RealVector_Onorm__class_Onorm(v4, v7) = v8) | ~ (hAPP(v9, v0) =
% 276.52/42.01 | v10) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v3) = v6) | ~
% 276.52/42.01 | (hAPP(all_1496_0, v2) = v9) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) |
% 276.52/42.01 | ~ $i(v1) | ~ $i(v0) | ~
% 276.52/42.01 | class_RealVector_Oreal__normed__algebra(v4) |
% 276.52/42.01 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v10) | ? [v11:
% 276.52/42.01 | $i] : ? [v12: $i] : ((c_RealVector_Onorm__class_Onorm(v4, v3) =
% 276.52/42.01 | v11 & $i(v11) & ~
% 276.52/42.01 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v2)) |
% 276.52/42.01 | (c_RealVector_Onorm__class_Onorm(v4, v1) = v12 & $i(v12) & ~
% 276.52/42.01 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v0))))
% 276.52/42.01 |
% 276.52/42.01 | ALPHA: (314) implies:
% 276.52/42.01 | (315) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1496_0
% 276.52/42.01 |
% 276.52/42.01 | DELTA: instantiating (60) with fresh symbols all_1502_0, all_1502_1,
% 276.52/42.01 | all_1502_2, all_1502_3, all_1502_4, all_1502_5, all_1502_6 gives:
% 276.52/42.01 | (316) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1502_2, v_q____) =
% 276.52/42.01 | all_1502_1 & c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,
% 276.52/42.01 | all_1502_3) = all_1502_2 &
% 276.52/42.01 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1502_5 &
% 276.52/42.01 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1502_4 &
% 276.52/42.01 | c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1502_1) = all_1502_0 &
% 276.52/42.01 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = all_1502_6 &
% 276.52/42.01 | hAPP(all_1502_6, all_1502_4) = all_1502_3 & $i(all_1502_0) &
% 276.52/42.01 | $i(all_1502_1) & $i(all_1502_2) & $i(all_1502_3) & $i(all_1502_4) &
% 276.52/42.01 | $i(all_1502_5) & $i(all_1502_6) & ! [v0: $i] : ! [v1: $i] : ( ~
% 276.52/42.01 | (hAPP(all_1502_0, v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i]
% 276.52/42.01 | : (hAPP(v3, all_1502_3) = v2 & hAPP(all_1502_5, v1) = v3 &
% 276.52/42.01 | hAPP(all_1502_6, v0) = v2 & $i(v3) & $i(v2)))
% 276.52/42.01 |
% 276.52/42.01 | ALPHA: (316) implies:
% 276.52/42.01 | (317) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1502_5
% 276.52/42.01 |
% 276.52/42.01 | DELTA: instantiating (25) with fresh symbols all_1505_0, all_1505_1,
% 276.52/42.01 | all_1505_2, all_1505_3, all_1505_4, all_1505_5, all_1505_6, all_1505_7,
% 276.52/42.01 | all_1505_8, all_1505_9 gives:
% 276.52/42.01 | (318) c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_1505_1) =
% 276.52/42.01 | all_1505_0 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____,
% 276.52/42.01 | all_1505_5) = all_1505_4 &
% 276.52/42.01 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1505_9 &
% 276.52/42.01 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 276.52/42.01 | all_1505_7 & c_Power_Opower__class_Opower(tc_RealDef_Oreal) =
% 276.52/42.01 | all_1505_8 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1505_5 &
% 276.52/42.01 | hAPP(all_1505_2, v_m____) = all_1505_1 & hAPP(all_1505_6, all_1505_4)
% 276.52/42.01 | = all_1505_3 & hAPP(all_1505_8, all_1505_7) = all_1505_6 &
% 276.52/42.01 | hAPP(all_1505_9, all_1505_3) = all_1505_2 & $i(all_1505_0) &
% 276.52/42.01 | $i(all_1505_1) & $i(all_1505_2) & $i(all_1505_3) & $i(all_1505_4) &
% 276.52/42.01 | $i(all_1505_5) & $i(all_1505_6) & $i(all_1505_7) & $i(all_1505_8) &
% 276.52/42.01 | $i(all_1505_9) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 276.52/42.01 | v_t____, all_1505_0)
% 276.52/42.01 |
% 276.52/42.01 | ALPHA: (318) implies:
% 276.52/42.01 | (319) hAPP(all_1505_9, all_1505_3) = all_1505_2
% 276.52/42.01 | (320) hAPP(all_1505_8, all_1505_7) = all_1505_6
% 276.52/42.01 | (321) hAPP(all_1505_6, all_1505_4) = all_1505_3
% 276.52/42.01 | (322) hAPP(all_1505_2, v_m____) = all_1505_1
% 276.52/42.01 | (323) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1505_5
% 276.52/42.01 | (324) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1505_8
% 276.52/42.01 | (325) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 276.52/42.01 | all_1505_7
% 276.52/42.01 | (326) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1505_9
% 276.52/42.01 | (327) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_1505_5) =
% 276.52/42.01 | all_1505_4
% 276.52/42.01 |
% 276.52/42.01 | DELTA: instantiating (67) with fresh symbols all_1507_0, all_1507_1,
% 276.52/42.01 | all_1507_2, all_1507_3 gives:
% 276.52/42.01 | (328) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1507_0 &
% 276.52/42.01 | c_Power_Opower__class_Opower(tc_Nat_Onat) = all_1507_2 &
% 276.52/42.01 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1507_1 &
% 276.52/42.01 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1507_3 &
% 276.52/42.01 | $i(all_1507_0) & $i(all_1507_1) & $i(all_1507_2) & $i(all_1507_3) &
% 276.52/42.01 | ! [v0: $i] : ! [v1: any] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 276.52/42.01 | ! [v5: $i] : ! [v6: $i] : (v1 = all_1507_3 | ~
% 276.52/42.01 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_1507_1) = v4) |
% 276.52/42.01 | ~ (hAPP(v3, v5) = v6) | ~ (hAPP(v2, v4) = v5) | ~
% 276.52/42.01 | (hAPP(all_1507_0, v0) = v3) | ~ (hAPP(all_1507_2, v0) = v2) | ~
% 276.52/42.01 | $i(v1) | ~ $i(v0) | (hAPP(v2, v1) = v6 & $i(v6))) & ! [v0: $i] :
% 276.52/42.01 | ! [v1: $i] : ! [v2: int] : (v2 = all_1507_1 | ~ (hAPP(v1,
% 276.52/42.01 | all_1507_3) = v2) | ~ (hAPP(all_1507_2, v0) = v1) | ~ $i(v0))
% 276.52/42.01 |
% 276.52/42.01 | ALPHA: (328) implies:
% 276.52/42.01 | (329) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1507_1
% 276.52/42.01 |
% 276.52/42.01 | DELTA: instantiating (21) with fresh symbols all_1513_0, all_1513_1 gives:
% 276.52/42.01 | (330) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1513_0 &
% 276.52/42.01 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1513_1 &
% 276.52/42.01 | $i(all_1513_0) & $i(all_1513_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 276.52/42.01 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v3, v1) =
% 276.52/42.01 | v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_1513_0, v2) = v3) |
% 276.52/42.01 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 276.52/42.01 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5) | ~
% 276.52/42.01 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1513_1, v2) |
% 276.52/42.01 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0)) & !
% 276.52/42.01 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 276.52/42.01 | [v5: $i] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~
% 276.52/42.01 | (hAPP(all_1513_0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 276.52/42.01 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) | ~
% 276.52/42.01 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1513_1, v2) |
% 276.52/42.01 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5))
% 276.52/42.01 |
% 276.52/42.01 | ALPHA: (330) implies:
% 276.52/42.01 | (331) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1513_0
% 276.52/42.01 |
% 276.52/42.01 | DELTA: instantiating (37) with fresh symbols all_1534_0, all_1534_1,
% 276.52/42.01 | all_1534_2, all_1534_3, all_1534_4, all_1534_5, all_1534_6, all_1534_7,
% 276.52/42.01 | all_1534_8, all_1534_9, all_1534_10 gives:
% 276.52/42.01 | (332) c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_1534_1) =
% 276.52/42.01 | all_1534_0 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____,
% 276.52/42.01 | all_1534_5) = all_1534_4 &
% 276.52/42.01 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1534_9 &
% 276.52/42.01 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 276.52/42.01 | all_1534_7 & c_Power_Opower__class_Opower(tc_RealDef_Oreal) =
% 276.52/42.01 | all_1534_8 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1534_5 &
% 276.52/42.01 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1534_10 &
% 276.52/42.01 | hAPP(all_1534_2, v_m____) = all_1534_1 & hAPP(all_1534_6, all_1534_4)
% 276.52/42.01 | = all_1534_3 & hAPP(all_1534_8, all_1534_7) = all_1534_6 &
% 276.52/42.01 | hAPP(all_1534_9, all_1534_3) = all_1534_2 & $i(all_1534_0) &
% 276.52/42.01 | $i(all_1534_1) & $i(all_1534_2) & $i(all_1534_3) & $i(all_1534_4) &
% 276.52/42.01 | $i(all_1534_5) & $i(all_1534_6) & $i(all_1534_7) & $i(all_1534_8) &
% 276.52/42.01 | $i(all_1534_9) & $i(all_1534_10) &
% 276.52/42.01 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1534_10,
% 276.52/42.01 | all_1534_0)
% 276.52/42.01 |
% 276.52/42.01 | ALPHA: (332) implies:
% 276.52/42.01 | (333) hAPP(all_1534_9, all_1534_3) = all_1534_2
% 276.52/42.01 | (334) hAPP(all_1534_8, all_1534_7) = all_1534_6
% 276.52/42.01 | (335) hAPP(all_1534_6, all_1534_4) = all_1534_3
% 276.52/42.01 | (336) hAPP(all_1534_2, v_m____) = all_1534_1
% 276.52/42.01 | (337) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1534_5
% 276.52/42.01 | (338) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1534_8
% 276.52/42.01 | (339) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 276.52/42.01 | all_1534_7
% 276.52/42.01 | (340) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1534_9
% 276.52/42.01 | (341) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_1534_5) =
% 276.52/42.01 | all_1534_4
% 276.52/42.01 |
% 276.52/42.01 | DELTA: instantiating (109) with fresh symbols all_1536_0, all_1536_1,
% 276.52/42.01 | all_1536_2, all_1536_3 gives:
% 276.52/42.01 | (342) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1536_2 &
% 276.52/42.01 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1536_0 &
% 276.52/42.01 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1536_1 &
% 276.52/42.01 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1536_3 &
% 276.52/42.01 | $i(all_1536_0) & $i(all_1536_1) & $i(all_1536_2) & $i(all_1536_3) &
% 276.52/42.01 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 276.52/42.01 | ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, all_1536_1) =
% 276.52/42.01 | v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_1536_0, v2) = v3) |
% 276.52/42.01 | ~ $i(v1) | ~ $i(v0) | ~
% 276.52/42.01 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1536_3, v1)
% 276.52/42.01 | | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 276.52/42.01 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v5 &
% 276.52/42.01 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v7, all_1536_1) =
% 276.52/42.01 | v8 & hAPP(v6, v1) = v7 & hAPP(all_1536_2, v5) = v6 & $i(v8) &
% 276.52/42.01 | $i(v7) & $i(v6) & $i(v5) &
% 276.52/42.01 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v8, v4)))
% 276.52/42.01 |
% 276.52/42.01 | ALPHA: (342) implies:
% 276.52/42.01 | (343) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1536_1
% 276.52/42.01 | (344) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1536_0
% 276.52/42.01 | (345) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1536_2
% 276.52/42.01 |
% 276.52/42.01 | DELTA: instantiating (90) with fresh symbols all_1539_0, all_1539_1 gives:
% 276.52/42.01 | (346) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1539_0 &
% 276.52/42.01 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1539_1 &
% 276.52/42.01 | $i(all_1539_0) & $i(all_1539_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 276.52/42.01 | (c_Groups_Otimes__class_Otimes(v0) = v1) | ~ $i(v0) | ~
% 276.52/42.01 | class_RealVector_Oreal__normed__algebra(v0) | ? [v2: $i] : ($i(v2)
% 276.52/42.01 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1539_1, v2)
% 276.52/42.01 | & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 276.52/42.01 | $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 276.52/42.01 | (c_RealVector_Onorm__class_Onorm(v0, v4) = v7) | ~
% 276.52/42.01 | (c_RealVector_Onorm__class_Onorm(v0, v3) = v5) | ~ (hAPP(v9,
% 276.52/42.01 | v2) = v10) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(all_1539_0,
% 276.52/42.01 | v8) = v9) | ~ (hAPP(all_1539_0, v5) = v6) | ~ $i(v4) | ~
% 276.52/42.01 | $i(v3) | ? [v11: $i] : ? [v12: $i] : ? [v13: $i] :
% 276.52/42.01 | (c_RealVector_Onorm__class_Onorm(v0, v12) = v13 & hAPP(v11, v4)
% 276.52/42.01 | = v12 & hAPP(v1, v3) = v11 & $i(v13) & $i(v12) & $i(v11) &
% 276.52/42.01 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v13,
% 276.52/42.01 | v10)))))
% 276.52/42.01 |
% 276.52/42.01 | ALPHA: (346) implies:
% 276.52/42.01 | (347) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1539_0
% 276.52/42.01 |
% 276.52/42.01 | DELTA: instantiating (41) with fresh symbols all_1542_0, all_1542_1 gives:
% 276.52/42.02 | (348) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1542_1 &
% 276.52/42.02 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1542_0 &
% 276.52/42.02 | $i(all_1542_0) & $i(all_1542_1) & ! [v0: $i] : ! [v1: any] : !
% 276.52/42.02 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v1 = all_1542_0
% 276.52/42.02 | | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) =
% 276.52/42.02 | all_1542_0) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v1) = v3) |
% 276.52/42.02 | ~ (hAPP(all_1542_1, v1) = v2) | ~ (hAPP(all_1542_1, v0) = v4) | ~
% 276.52/42.02 | $i(v1) | ~ $i(v0)) & ! [v0: any] : ! [v1: $i] : ! [v2: $i] : !
% 276.52/42.02 | [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v0 = all_1542_0 | ~
% 276.52/42.02 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) =
% 276.52/42.02 | all_1542_0) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v1) = v3) |
% 276.52/42.02 | ~ (hAPP(all_1542_1, v1) = v2) | ~ (hAPP(all_1542_1, v0) = v4) | ~
% 276.52/42.02 | $i(v1) | ~ $i(v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] :
% 276.52/42.02 | (v2 = all_1542_0 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 276.52/42.02 | v1, v1) = v2) | ~ (hAPP(v0, all_1542_0) = v1) | ~
% 276.52/42.02 | (hAPP(all_1542_1, all_1542_0) = v0))
% 276.52/42.02 |
% 276.52/42.02 | ALPHA: (348) implies:
% 276.52/42.02 | (349) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1542_1
% 276.52/42.02 |
% 276.52/42.02 | DELTA: instantiating (69) with fresh symbols all_1548_0, all_1548_1 gives:
% 276.52/42.02 | (350) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1548_0 &
% 276.52/42.02 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1548_1 &
% 276.52/42.02 | $i(all_1548_0) & $i(all_1548_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 276.52/42.02 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 276.52/42.02 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 276.52/42.02 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_1548_0) = v7) |
% 276.52/42.02 | ~ (c_Groups_Otimes__class_Otimes(v2) = v5) | ~
% 276.52/42.02 | (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v6, v8) = v9) |
% 276.52/42.02 | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v7) = v8) | ~ (hAPP(v3, v0) =
% 276.52/42.02 | v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 276.52/42.02 | class_Power_Opower(v2) | ? [v10: $i] : ? [v11: $i] : (( ~ (v1 =
% 276.52/42.02 | all_1548_1) | (v11 = v10 & c_Groups_Oone__class_Oone(v2) =
% 276.52/42.02 | v10 & hAPP(v4, all_1548_1) = v10 & $i(v10))) & (v1 =
% 276.52/42.02 | all_1548_1 | (v10 = v9 & hAPP(v4, v1) = v9 & $i(v9)))))
% 276.52/42.02 |
% 276.52/42.02 | ALPHA: (350) implies:
% 276.52/42.02 | (351) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1548_0
% 276.52/42.02 |
% 276.52/42.02 | DELTA: instantiating (20) with fresh symbols all_1551_0, all_1551_1 gives:
% 276.52/42.02 | (352) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1551_0 &
% 276.52/42.02 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1551_1 &
% 276.52/42.02 | $i(all_1551_0) & $i(all_1551_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 276.52/42.02 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 276.52/42.02 | (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_1551_0,
% 276.52/42.02 | v1) = v3) | ~ (hAPP(all_1551_0, v0) = v5) | ~ $i(v2) | ~
% 276.52/42.02 | $i(v1) | ~ $i(v0) | ~
% 276.52/42.02 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v6) | ~
% 276.52/42.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1551_1, v2) |
% 276.52/42.02 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0)) & !
% 276.52/42.02 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 276.52/42.02 | [v5: $i] : ! [v6: $i] : ( ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) =
% 276.52/42.02 | v4) | ~ (hAPP(all_1551_0, v1) = v3) | ~ (hAPP(all_1551_0, v0) =
% 276.52/42.02 | v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 276.52/42.02 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) | ~
% 276.52/42.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1551_1, v2) |
% 276.52/42.02 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v6))
% 276.52/42.02 |
% 276.52/42.02 | ALPHA: (352) implies:
% 276.52/42.02 | (353) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1551_0
% 276.52/42.02 |
% 276.52/42.02 | DELTA: instantiating (35) with fresh symbols all_1554_0, all_1554_1 gives:
% 276.52/42.02 | (354) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1554_0 &
% 276.52/42.02 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1554_1 &
% 276.52/42.02 | $i(all_1554_0) & $i(all_1554_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 276.52/42.02 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 276.52/42.02 | (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_1554_0,
% 276.52/42.02 | v1) = v3) | ~ (hAPP(all_1554_0, v0) = v5) | ~ $i(v2) | ~
% 276.52/42.02 | $i(v1) | ~ $i(v0) | ~
% 276.52/42.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6) | ~
% 276.52/42.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1554_1, v2) |
% 276.52/42.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0)) & ! [v0:
% 276.52/42.02 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 276.52/42.02 | [v5: $i] : ! [v6: $i] : ( ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) =
% 276.52/42.02 | v4) | ~ (hAPP(all_1554_0, v1) = v3) | ~ (hAPP(all_1554_0, v0) =
% 276.52/42.02 | v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 276.52/42.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | ~
% 276.52/42.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1554_1, v2) |
% 276.52/42.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6))
% 276.52/42.02 |
% 276.52/42.02 | ALPHA: (354) implies:
% 276.52/42.02 | (355) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1554_0
% 276.52/42.02 |
% 276.52/42.02 | DELTA: instantiating (23) with fresh symbols all_1560_0, all_1560_1,
% 276.52/42.02 | all_1560_2, all_1560_3, all_1560_4, all_1560_5, all_1560_6, all_1560_7,
% 276.52/42.02 | all_1560_8, all_1560_9, all_1560_10, all_1560_11 gives:
% 276.52/42.02 | (356) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_1560_6) =
% 276.52/42.02 | all_1560_5 & c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) =
% 276.52/42.02 | all_1560_11 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 276.52/42.02 | v_w____) = all_1560_8 &
% 276.52/42.02 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1560_9 &
% 276.52/42.02 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1560_0 &
% 276.52/42.02 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1560_6 &
% 276.52/42.02 | hAPP(all_1560_3, v_m____) = all_1560_2 & hAPP(all_1560_7, all_1560_5)
% 276.52/42.02 | = all_1560_4 & hAPP(all_1560_9, all_1560_8) = all_1560_7 &
% 276.52/42.02 | hAPP(all_1560_10, all_1560_2) = all_1560_1 & hAPP(all_1560_11,
% 276.52/42.02 | all_1560_4) = all_1560_3 & hAPP(all_1560_11, v_t____) = all_1560_10
% 276.52/42.02 | & $i(all_1560_0) & $i(all_1560_1) & $i(all_1560_2) & $i(all_1560_3) &
% 276.52/42.02 | $i(all_1560_4) & $i(all_1560_5) & $i(all_1560_6) & $i(all_1560_7) &
% 276.52/42.02 | $i(all_1560_8) & $i(all_1560_9) & $i(all_1560_10) & $i(all_1560_11) &
% 276.52/42.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1560_1,
% 276.52/42.02 | all_1560_0)
% 276.52/42.02 |
% 276.52/42.02 | ALPHA: (356) implies:
% 276.52/42.02 | (357) hAPP(all_1560_11, v_t____) = all_1560_10
% 276.52/42.02 | (358) hAPP(all_1560_11, all_1560_4) = all_1560_3
% 276.52/42.02 | (359) hAPP(all_1560_10, all_1560_2) = all_1560_1
% 276.52/42.02 | (360) hAPP(all_1560_9, all_1560_8) = all_1560_7
% 276.52/42.02 | (361) hAPP(all_1560_7, all_1560_5) = all_1560_4
% 276.52/42.02 | (362) hAPP(all_1560_3, v_m____) = all_1560_2
% 276.52/42.02 | (363) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1560_6
% 276.52/42.02 | (364) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1560_0
% 276.52/42.02 | (365) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1560_9
% 276.52/42.02 | (366) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 276.52/42.02 | all_1560_8
% 276.52/42.02 | (367) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1560_11
% 276.52/42.02 | (368) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_1560_6) =
% 276.52/42.02 | all_1560_5
% 276.52/42.02 |
% 276.52/42.02 | DELTA: instantiating (71) with fresh symbols all_1565_0, all_1565_1 gives:
% 276.52/42.02 | (369) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1565_0 &
% 276.52/42.02 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1565_1 &
% 276.52/42.02 | $i(all_1565_0) & $i(all_1565_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 276.52/42.02 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 276.52/42.02 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 276.52/42.02 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v3) = v4) | ~
% 276.52/42.02 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v2) = v7) | ~
% 276.52/42.02 | (hAPP(v8, v0) = v9) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(all_1565_0,
% 276.52/42.02 | v7) = v8) | ~ (hAPP(all_1565_0, v4) = v5) | ~ $i(v3) | ~
% 276.52/42.02 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 276.52/42.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1565_1, v3) |
% 276.52/42.02 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1565_1, v2) |
% 276.52/42.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v9) | ? [v10:
% 276.52/42.02 | $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : (hAPP(v12, v0)
% 276.52/42.02 | = v13 & hAPP(v10, v1) = v11 & hAPP(all_1565_0, v3) = v12 &
% 276.52/42.02 | hAPP(all_1565_0, v2) = v10 & $i(v13) & $i(v12) & $i(v11) &
% 276.52/42.02 | $i(v10) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11,
% 276.52/42.02 | v13)))
% 276.52/42.02 |
% 276.52/42.02 | ALPHA: (369) implies:
% 276.52/42.02 | (370) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1565_0
% 276.52/42.02 |
% 276.52/42.02 | DELTA: instantiating (72) with fresh symbols all_1568_0, all_1568_1 gives:
% 276.52/42.02 | (371) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1568_0 &
% 276.52/42.02 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1568_1 &
% 276.52/42.02 | $i(all_1568_0) & $i(all_1568_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 276.52/42.02 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 276.52/42.02 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 276.52/42.02 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v3) = v5) | ~
% 276.52/42.02 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v2) = v8) | ~
% 276.52/42.02 | (hAPP(v7, v8) = v9) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(all_1568_0,
% 276.52/42.02 | v1) = v4) | ~ (hAPP(all_1568_0, v0) = v7) | ~ $i(v3) | ~
% 276.52/42.02 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 276.52/42.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1568_1, v3) |
% 276.52/42.02 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1568_1, v2) |
% 276.52/42.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v9) | ? [v10:
% 276.52/42.02 | $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : (hAPP(v12, v0)
% 276.52/42.02 | = v13 & hAPP(v10, v1) = v11 & hAPP(all_1568_0, v3) = v12 &
% 276.52/42.02 | hAPP(all_1568_0, v2) = v10 & $i(v13) & $i(v12) & $i(v11) &
% 276.52/42.02 | $i(v10) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11,
% 276.52/42.02 | v13)))
% 276.52/42.02 |
% 276.52/42.02 | ALPHA: (371) implies:
% 276.52/42.02 | (372) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1568_0
% 276.52/42.02 |
% 276.52/42.02 | DELTA: instantiating (89) with fresh symbol all_1571_0 gives:
% 276.52/42.02 | (373) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1571_0 &
% 276.52/42.02 | $i(all_1571_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 276.52/42.02 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 276.52/42.02 | (c_RealVector_Onorm__class_Onorm(v3, v4) = v5) | ~ (hAPP(v0, v1) =
% 276.52/42.02 | v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 276.52/42.02 | class_Orderings_Oord(v2) | ~
% 276.52/42.02 | class_RealVector_Oreal__normed__vector(v3) | ? [v6: $i] : ? [v7:
% 276.52/42.02 | $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ($i(v7) &
% 276.52/42.02 | ((c_Groups_Ominus__class_Ominus(v3, v4, v8) = v9 &
% 276.52/42.02 | c_RealVector_Onorm__class_Onorm(v3, v9) = v10 & hAPP(v0, v7)
% 276.52/42.02 | = v8 & $i(v10) & $i(v9) & $i(v8) &
% 276.52/42.02 | c_Orderings_Oord__class_Oless__eq(v2, v1, v7) & ~
% 276.52/42.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10,
% 276.52/42.02 | all_1571_0)) |
% 276.52/42.02 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1571_0, v5)
% 276.52/42.02 | = v6 & $i(v6) & ! [v11: $i] : ! [v12: $i] : ! [v13: $i] :
% 276.52/42.02 | ( ~ (c_RealVector_Onorm__class_Onorm(v3, v12) = v13) | ~
% 276.52/42.02 | (hAPP(v0, v11) = v12) | ~ $i(v11) | ~
% 276.52/42.02 | c_Orderings_Oord__class_Oless__eq(v2, v1, v11) |
% 276.52/42.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13,
% 276.52/42.02 | v6))))))
% 276.52/42.02 |
% 276.52/42.02 | ALPHA: (373) implies:
% 276.52/42.02 | (374) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1571_0
% 276.52/42.02 |
% 276.52/42.02 | DELTA: instantiating (81) with fresh symbols all_1576_0, all_1576_1 gives:
% 276.52/42.02 | (375) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1576_1 &
% 276.52/42.02 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1576_0 &
% 276.52/42.02 | $i(all_1576_0) & $i(all_1576_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 276.52/42.02 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v0, all_1576_0)
% 276.52/42.02 | = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: $i] : ? [v4: $i] : ?
% 276.52/42.02 | [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 276.52/42.02 | (( ~ (v2 = all_1576_1) &
% 276.52/42.02 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v2 &
% 276.52/42.02 | $i(v2)) | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,
% 276.52/42.02 | v0, c_Complex_Oii) = v8 &
% 276.52/42.02 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v8) = v9 &
% 276.52/42.02 | $i(v9) & $i(v8) &
% 276.52/42.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9,
% 276.52/42.02 | all_1576_1)) |
% 276.52/42.02 | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, all_1576_0)
% 276.52/42.02 | = v3 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3)
% 276.52/42.02 | = v4 & $i(v4) & $i(v3) &
% 276.52/42.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4,
% 276.52/42.02 | all_1576_1)) |
% 276.52/42.02 | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0,
% 276.52/42.02 | c_Complex_Oii) = v6 &
% 276.52/42.02 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = v7 &
% 276.52/42.02 | $i(v7) & $i(v6) &
% 276.52/42.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7,
% 276.52/42.02 | all_1576_1)) |
% 276.52/42.02 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v5 &
% 276.52/42.02 | $i(v5) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5,
% 276.52/42.02 | all_1576_1))))
% 276.52/42.02 |
% 276.52/42.02 | ALPHA: (375) implies:
% 276.52/42.02 | (376) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1576_1
% 276.52/42.02 |
% 276.52/42.02 | DELTA: instantiating (48) with fresh symbols all_1579_0, all_1579_1,
% 276.52/42.02 | all_1579_2, all_1579_3, all_1579_4, all_1579_5, all_1579_6, all_1579_7,
% 276.52/42.02 | all_1579_8, all_1579_9, all_1579_10, all_1579_11, all_1579_12 gives:
% 276.52/42.02 | (377) c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_1579_2) =
% 276.52/42.02 | all_1579_1 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____,
% 276.52/42.02 | all_1579_6) = all_1579_5 &
% 276.52/42.02 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1579_10 &
% 276.52/42.02 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 276.52/42.02 | all_1579_8 & c_Power_Opower__class_Opower(tc_RealDef_Oreal) =
% 276.52/42.02 | all_1579_9 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) =
% 276.52/42.02 | all_1579_11 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1579_6 &
% 276.52/42.02 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1579_12 &
% 276.52/42.02 | hAPP(all_1579_3, v_m____) = all_1579_2 & hAPP(all_1579_7, all_1579_5)
% 276.52/42.02 | = all_1579_4 & hAPP(all_1579_9, all_1579_8) = all_1579_7 &
% 276.52/42.02 | hAPP(all_1579_10, all_1579_4) = all_1579_3 & $i(all_1579_0) &
% 276.52/42.02 | $i(all_1579_1) & $i(all_1579_2) & $i(all_1579_3) & $i(all_1579_4) &
% 276.52/42.02 | $i(all_1579_5) & $i(all_1579_6) & $i(all_1579_7) & $i(all_1579_8) &
% 276.52/42.02 | $i(all_1579_9) & $i(all_1579_10) & $i(all_1579_11) & $i(all_1579_12)
% 276.52/42.02 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1579_0,
% 276.52/42.02 | all_1579_1) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 276.52/42.02 | all_1579_0, all_1579_11) &
% 276.52/42.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1579_12,
% 276.52/42.02 | all_1579_0)
% 276.52/42.02 |
% 276.52/42.02 | ALPHA: (377) implies:
% 276.52/42.02 | (378) hAPP(all_1579_10, all_1579_4) = all_1579_3
% 276.52/42.02 | (379) hAPP(all_1579_9, all_1579_8) = all_1579_7
% 276.52/42.02 | (380) hAPP(all_1579_7, all_1579_5) = all_1579_4
% 276.52/42.02 | (381) hAPP(all_1579_3, v_m____) = all_1579_2
% 276.52/42.02 | (382) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1579_6
% 276.52/42.02 | (383) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1579_11
% 276.52/42.02 | (384) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1579_9
% 276.52/42.02 | (385) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 276.52/42.02 | all_1579_8
% 276.52/42.02 | (386) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1579_10
% 276.52/42.02 | (387) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_1579_6) =
% 276.52/42.02 | all_1579_5
% 276.52/42.02 |
% 276.52/42.02 | DELTA: instantiating (77) with fresh symbols all_1590_0, all_1590_1,
% 276.52/42.02 | all_1590_2, all_1590_3, all_1590_4, all_1590_5 gives:
% 276.52/42.02 | (388) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1590_2 &
% 276.52/42.02 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1590_1 &
% 276.52/42.02 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1590_0 &
% 276.52/42.02 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1590_3 &
% 276.52/42.02 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1590_4 &
% 276.52/42.02 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1590_5 &
% 276.52/42.02 | $i(all_1590_0) & $i(all_1590_1) & $i(all_1590_2) & $i(all_1590_3) &
% 276.52/42.02 | $i(all_1590_4) & $i(all_1590_5) & ? [v0: any] : ! [v1: any] : !
% 276.52/42.02 | [v2: $i] : (v1 = all_1590_5 | v0 = all_1590_4 | ~ (hAPP(all_1590_2,
% 276.52/42.02 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] :
% 276.52/42.02 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 276.52/42.02 | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1590_3, v6) =
% 276.52/42.02 | v7 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v7) =
% 276.52/42.02 | v8 & hAPP(v4, v0) = v5 & hAPP(v2, v5) = v6 & hAPP(all_1590_1, v3)
% 276.52/42.02 | = v4 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 276.52/42.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, all_1590_0)))
% 276.52/42.02 |
% 276.52/42.02 | ALPHA: (388) implies:
% 276.52/42.02 | (389) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1590_0
% 276.52/42.02 | (390) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1590_1
% 276.52/42.02 | (391) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1590_2
% 276.52/42.02 |
% 276.52/42.02 | DELTA: instantiating (62) with fresh symbols all_1604_0, all_1604_1,
% 276.52/42.02 | all_1604_2, all_1604_3, all_1604_4, all_1604_5, all_1604_6, all_1604_7,
% 276.52/42.02 | all_1604_8, all_1604_9, all_1604_10 gives:
% 276.52/42.02 | (392) c_Polynomial_OpCons(tc_Complex_Ocomplex, v_a____, v_s____) =
% 276.52/42.02 | all_1604_1 & c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1604_7,
% 276.52/42.02 | v_q____) = all_1604_6 &
% 276.52/42.02 | c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, all_1604_8) =
% 276.52/42.02 | all_1604_7 & c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) =
% 276.52/42.02 | all_1604_3 & c_Power_Opower__class_Opower(tc_Complex_Ocomplex) =
% 276.52/42.02 | all_1604_2 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 276.52/42.02 | all_1604_9 & c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1604_1) =
% 276.52/42.02 | all_1604_0 & c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1604_6) =
% 276.52/42.02 | all_1604_5 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) =
% 276.52/42.02 | all_1604_10 & hAPP(all_1604_5, all_1604_9) = all_1604_4 &
% 276.52/42.02 | hAPP(all_1604_10, all_1604_9) = all_1604_8 & $i(all_1604_0) &
% 276.52/42.02 | $i(all_1604_1) & $i(all_1604_2) & $i(all_1604_3) & $i(all_1604_4) &
% 276.52/42.02 | $i(all_1604_5) & $i(all_1604_6) & $i(all_1604_7) & $i(all_1604_8) &
% 276.52/42.02 | $i(all_1604_9) & $i(all_1604_10) & ! [v0: $i] : ! [v1: $i] : !
% 276.52/42.02 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v3,
% 276.52/42.02 | v4) = v5) | ~ (hAPP(v1, v_k____) = v2) | ~ (hAPP(all_1604_0,
% 276.52/42.02 | v0) = v4) | ~ (hAPP(all_1604_2, v0) = v1) | ~
% 276.52/42.02 | (hAPP(all_1604_3, v2) = v3) | ~ $i(v0) | ? [v6: $i] :
% 276.52/42.02 | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1604_4, v5) =
% 276.52/42.02 | v6 & hAPP(all_1604_5, v0) = v6 & $i(v6)))
% 276.52/42.02 |
% 276.52/42.02 | ALPHA: (392) implies:
% 276.52/42.03 | (393) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1604_2
% 276.52/42.03 | (394) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1604_3
% 276.52/42.03 |
% 276.52/42.03 | DELTA: instantiating (116) with fresh symbols all_1621_0, all_1621_1,
% 276.52/42.03 | all_1621_2, all_1621_3, all_1621_4, all_1621_5, all_1621_6, all_1621_7,
% 276.52/42.03 | all_1621_8, all_1621_9, all_1621_10, all_1621_11, all_1621_12,
% 276.52/42.03 | all_1621_13, all_1621_14, all_1621_15, all_1621_16 gives:
% 276.52/42.03 | (395) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1621_16 &
% 276.52/42.03 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1621_4) =
% 276.52/42.03 | all_1621_3 & c_Power_Opower__class_Opower(tc_RealDef_Oreal) =
% 276.52/42.03 | all_1621_2 & c_Power_Opower__class_Opower(tc_Complex_Ocomplex) =
% 276.52/42.03 | all_1621_15 & c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) =
% 276.52/42.03 | all_1621_14 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) =
% 276.52/42.03 | all_1621_6 & hAPP(all_1621_1, v_k____) = all_1621_0 &
% 276.52/42.03 | hAPP(all_1621_2, v_t____) = all_1621_1 & hAPP(all_1621_6,
% 276.52/42.03 | all_1621_12) = all_1621_5 & hAPP(all_1621_7, all_1621_5) =
% 276.52/42.03 | all_1621_4 & hAPP(all_1621_9, all_1621_12) = all_1621_8 &
% 276.52/42.03 | hAPP(all_1621_11, v_k____) = all_1621_10 & hAPP(all_1621_13, v_w____)
% 276.52/42.03 | = all_1621_12 & hAPP(all_1621_15, all_1621_12) = all_1621_11 &
% 276.52/42.03 | hAPP(all_1621_16, all_1621_8) = all_1621_7 & hAPP(all_1621_16,
% 276.52/42.03 | all_1621_10) = all_1621_9 & hAPP(all_1621_16, all_1621_14) =
% 276.52/42.03 | all_1621_13 & $i(all_1621_0) & $i(all_1621_1) & $i(all_1621_2) &
% 276.52/42.03 | $i(all_1621_3) & $i(all_1621_4) & $i(all_1621_5) & $i(all_1621_6) &
% 276.52/42.03 | $i(all_1621_7) & $i(all_1621_8) & $i(all_1621_9) & $i(all_1621_10) &
% 276.52/42.03 | $i(all_1621_11) & $i(all_1621_12) & $i(all_1621_13) & $i(all_1621_14)
% 276.52/42.03 | & $i(all_1621_15) & $i(all_1621_16) & ~
% 276.52/42.03 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1621_3,
% 276.52/42.03 | all_1621_0)
% 276.52/42.03 |
% 276.52/42.03 | ALPHA: (395) implies:
% 276.52/42.03 | (396) ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1621_3,
% 276.52/42.03 | all_1621_0)
% 276.52/42.03 | (397) $i(all_1621_0)
% 276.52/42.03 | (398) hAPP(all_1621_16, all_1621_14) = all_1621_13
% 276.52/42.03 | (399) hAPP(all_1621_16, all_1621_10) = all_1621_9
% 276.52/42.03 | (400) hAPP(all_1621_16, all_1621_8) = all_1621_7
% 276.52/42.03 | (401) hAPP(all_1621_15, all_1621_12) = all_1621_11
% 276.52/42.03 | (402) hAPP(all_1621_13, v_w____) = all_1621_12
% 276.52/42.03 | (403) hAPP(all_1621_11, v_k____) = all_1621_10
% 276.52/42.03 | (404) hAPP(all_1621_9, all_1621_12) = all_1621_8
% 276.52/42.03 | (405) hAPP(all_1621_7, all_1621_5) = all_1621_4
% 276.52/42.03 | (406) hAPP(all_1621_6, all_1621_12) = all_1621_5
% 276.52/42.03 | (407) hAPP(all_1621_2, v_t____) = all_1621_1
% 276.52/42.03 | (408) hAPP(all_1621_1, v_k____) = all_1621_0
% 276.52/42.03 | (409) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1621_6
% 276.52/42.03 | (410) c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = all_1621_14
% 276.52/42.03 | (411) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1621_15
% 276.52/42.03 | (412) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1621_2
% 276.52/42.03 | (413) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1621_4) =
% 276.52/42.03 | all_1621_3
% 276.52/42.03 | (414) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1621_16
% 276.52/42.03 |
% 276.52/42.03 | DELTA: instantiating (17) with fresh symbols all_1623_0, all_1623_1,
% 276.52/42.03 | all_1623_2, all_1623_3, all_1623_4, all_1623_5, all_1623_6, all_1623_7,
% 276.52/42.03 | all_1623_8, all_1623_9, all_1623_10, all_1623_11, all_1623_12,
% 276.52/42.03 | all_1623_13, all_1623_14, all_1623_15, all_1623_16 gives:
% 276.52/42.03 | (415) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_1623_8) =
% 276.52/42.03 | all_1623_7 & c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) =
% 276.52/42.03 | all_1623_16 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 276.52/42.03 | v_w____) = all_1623_10 &
% 276.52/42.03 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1623_15 &
% 276.52/42.03 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1623_1 &
% 276.52/42.03 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1623_8 &
% 276.52/42.03 | hAPP(all_1623_5, v_m____) = all_1623_4 & hAPP(all_1623_9, all_1623_7)
% 276.52/42.03 | = all_1623_6 & hAPP(all_1623_11, all_1623_4) = all_1623_3 &
% 276.52/42.03 | hAPP(all_1623_12, all_1623_1) = all_1623_0 & hAPP(all_1623_12,
% 276.52/42.03 | all_1623_3) = all_1623_2 & hAPP(all_1623_14, v_k____) = all_1623_13
% 276.52/42.03 | & hAPP(all_1623_15, all_1623_10) = all_1623_9 & hAPP(all_1623_15,
% 276.52/42.03 | v_t____) = all_1623_14 & hAPP(all_1623_16, all_1623_6) = all_1623_5
% 276.52/42.03 | & hAPP(all_1623_16, all_1623_13) = all_1623_12 & hAPP(all_1623_16,
% 276.52/42.03 | v_t____) = all_1623_11 & $i(all_1623_0) & $i(all_1623_1) &
% 276.52/42.03 | $i(all_1623_2) & $i(all_1623_3) & $i(all_1623_4) & $i(all_1623_5) &
% 276.52/42.03 | $i(all_1623_6) & $i(all_1623_7) & $i(all_1623_8) & $i(all_1623_9) &
% 276.52/42.03 | $i(all_1623_10) & $i(all_1623_11) & $i(all_1623_12) & $i(all_1623_13)
% 276.52/42.03 | & $i(all_1623_14) & $i(all_1623_15) & $i(all_1623_16) &
% 276.52/42.03 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1623_2,
% 276.52/42.03 | all_1623_0)
% 276.52/42.03 |
% 276.52/42.03 | ALPHA: (415) implies:
% 276.52/42.03 | (416) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1623_2,
% 276.52/42.03 | all_1623_0)
% 276.52/42.03 | (417) $i(all_1623_0)
% 276.52/42.03 | (418) hAPP(all_1623_16, v_t____) = all_1623_11
% 276.52/42.03 | (419) hAPP(all_1623_16, all_1623_13) = all_1623_12
% 276.52/42.03 | (420) hAPP(all_1623_16, all_1623_6) = all_1623_5
% 276.52/42.03 | (421) hAPP(all_1623_15, v_t____) = all_1623_14
% 276.52/42.03 | (422) hAPP(all_1623_15, all_1623_10) = all_1623_9
% 276.52/42.03 | (423) hAPP(all_1623_14, v_k____) = all_1623_13
% 276.52/42.03 | (424) hAPP(all_1623_12, all_1623_3) = all_1623_2
% 276.52/42.03 | (425) hAPP(all_1623_12, all_1623_1) = all_1623_0
% 276.52/42.03 | (426) hAPP(all_1623_11, all_1623_4) = all_1623_3
% 276.52/42.03 | (427) hAPP(all_1623_9, all_1623_7) = all_1623_6
% 276.52/42.03 | (428) hAPP(all_1623_5, v_m____) = all_1623_4
% 276.52/42.03 | (429) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1623_8
% 276.52/42.03 | (430) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1623_1
% 276.52/42.03 | (431) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1623_15
% 276.52/42.03 | (432) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 276.52/42.03 | all_1623_10
% 276.52/42.03 | (433) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1623_16
% 276.52/42.03 | (434) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_1623_8) =
% 276.52/42.03 | all_1623_7
% 276.52/42.03 |
% 276.52/42.03 | DELTA: instantiating (61) with fresh symbols all_1625_0, all_1625_1,
% 276.52/42.03 | all_1625_2, all_1625_3, all_1625_4, all_1625_5, all_1625_6, all_1625_7
% 276.52/42.03 | gives:
% 276.52/42.03 | (435) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1625_4, v_q____) =
% 276.52/42.03 | all_1625_3 & c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,
% 276.52/42.03 | all_1625_5) = all_1625_4 &
% 276.52/42.03 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1625_5) =
% 276.52/42.03 | all_1625_0 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1625_1
% 276.52/42.03 | & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1625_6 &
% 276.52/42.03 | c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1625_3) = all_1625_2 &
% 276.52/42.03 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = all_1625_7 &
% 276.52/42.03 | hAPP(all_1625_7, all_1625_6) = all_1625_5 & $i(all_1625_0) &
% 276.52/42.03 | $i(all_1625_1) & $i(all_1625_2) & $i(all_1625_3) & $i(all_1625_4) &
% 276.52/42.03 | $i(all_1625_5) & $i(all_1625_6) & $i(all_1625_7) & ! [v0: $i] : !
% 276.52/42.03 | [v1: $i] : ( ~ (hAPP(all_1625_2, v0) = v1) | ~ $i(v0) | ? [v2: $i]
% 276.52/42.03 | : ? [v3: $i] : ? [v4: $i] :
% 276.52/42.03 | ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 276.52/42.03 | hAPP(all_1625_7, v0) = v3 & $i(v4) & $i(v3) &
% 276.52/42.03 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4,
% 276.52/42.03 | all_1625_0)) |
% 276.52/42.03 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 &
% 276.52/42.03 | $i(v2) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2,
% 276.52/42.03 | all_1625_1)))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 276.52/42.03 | (hAPP(all_1625_2, v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i]
% 276.52/42.03 | : ? [v4: $i] :
% 276.52/42.03 | ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 &
% 276.52/42.03 | hAPP(all_1625_7, v0) = v2 & $i(v3) & $i(v2) & ~
% 276.52/42.03 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3,
% 276.52/42.03 | all_1625_0)) |
% 276.52/42.03 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v4 &
% 276.52/42.03 | $i(v4) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4,
% 276.52/42.03 | all_1625_1))))
% 276.52/42.03 |
% 276.52/42.03 | ALPHA: (435) implies:
% 276.52/42.03 | (436) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1625_1
% 276.52/42.03 |
% 276.52/42.03 | DELTA: instantiating (49) with fresh symbols all_1628_0, all_1628_1,
% 276.52/42.03 | all_1628_2, all_1628_3, all_1628_4, all_1628_5, all_1628_6, all_1628_7,
% 276.52/42.03 | all_1628_8, all_1628_9, all_1628_10, all_1628_11, all_1628_12,
% 276.52/42.03 | all_1628_13, all_1628_14, all_1628_15, all_1628_16, all_1628_17,
% 276.52/42.03 | all_1628_18, all_1628_19, all_1628_20, all_1628_21, all_1628_22,
% 276.52/42.03 | all_1628_23 gives:
% 276.52/42.03 | (437) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1628_23,
% 276.52/42.03 | all_1628_20) = all_1628_19 &
% 276.52/42.03 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1628_2, all_1628_1)
% 276.52/42.03 | = all_1628_0 & c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,
% 276.52/42.03 | all_1628_18, all_1628_5) = all_1628_4 &
% 276.52/42.03 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1628_17 &
% 276.52/42.03 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1628_4) =
% 276.52/42.03 | all_1628_3 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 276.52/42.03 | all_1628_5) = all_1628_1 &
% 276.52/42.03 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1628_18) =
% 276.52/42.03 | all_1628_2 & c_Power_Opower__class_Opower(tc_RealDef_Oreal) =
% 276.52/42.03 | all_1628_22 & c_Power_Opower__class_Opower(tc_Complex_Ocomplex) =
% 276.52/42.03 | all_1628_16 & c_RealVector_Oof__real(tc_Complex_Ocomplex,
% 276.52/42.03 | all_1628_19) = all_1628_18 &
% 276.52/42.03 | c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = all_1628_15 &
% 276.52/42.03 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1628_23 &
% 276.52/42.03 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1628_7 &
% 276.52/42.03 | hAPP(all_1628_7, all_1628_13) = all_1628_6 & hAPP(all_1628_8,
% 276.52/42.03 | all_1628_6) = all_1628_5 & hAPP(all_1628_10, all_1628_13) =
% 276.52/42.03 | all_1628_9 & hAPP(all_1628_12, v_k____) = all_1628_11 &
% 276.52/42.03 | hAPP(all_1628_14, v_w____) = all_1628_13 & hAPP(all_1628_16,
% 276.52/42.03 | all_1628_13) = all_1628_12 & hAPP(all_1628_17, all_1628_9) =
% 276.52/42.03 | all_1628_8 & hAPP(all_1628_17, all_1628_11) = all_1628_10 &
% 276.52/42.03 | hAPP(all_1628_17, all_1628_15) = all_1628_14 & hAPP(all_1628_21,
% 276.52/42.03 | v_k____) = all_1628_20 & hAPP(all_1628_22, v_t____) = all_1628_21 &
% 276.52/42.03 | $i(all_1628_0) & $i(all_1628_1) & $i(all_1628_2) & $i(all_1628_3) &
% 276.52/42.03 | $i(all_1628_4) & $i(all_1628_5) & $i(all_1628_6) & $i(all_1628_7) &
% 276.52/42.03 | $i(all_1628_8) & $i(all_1628_9) & $i(all_1628_10) & $i(all_1628_11) &
% 276.52/42.03 | $i(all_1628_12) & $i(all_1628_13) & $i(all_1628_14) & $i(all_1628_15)
% 276.52/42.03 | & $i(all_1628_16) & $i(all_1628_17) & $i(all_1628_18) &
% 276.52/42.03 | $i(all_1628_19) & $i(all_1628_20) & $i(all_1628_21) & $i(all_1628_22)
% 276.52/42.03 | & $i(all_1628_23) &
% 276.52/42.03 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1628_3,
% 276.52/42.03 | all_1628_0)
% 276.52/42.03 |
% 276.52/42.03 | ALPHA: (437) implies:
% 276.52/42.03 | (438) $i(all_1628_1)
% 276.52/42.03 | (439) hAPP(all_1628_22, v_t____) = all_1628_21
% 276.52/42.03 | (440) hAPP(all_1628_21, v_k____) = all_1628_20
% 276.52/42.03 | (441) hAPP(all_1628_17, all_1628_15) = all_1628_14
% 276.52/42.03 | (442) hAPP(all_1628_17, all_1628_11) = all_1628_10
% 276.52/42.03 | (443) hAPP(all_1628_17, all_1628_9) = all_1628_8
% 276.52/42.03 | (444) hAPP(all_1628_16, all_1628_13) = all_1628_12
% 276.52/42.03 | (445) hAPP(all_1628_14, v_w____) = all_1628_13
% 276.52/42.03 | (446) hAPP(all_1628_12, v_k____) = all_1628_11
% 276.52/42.03 | (447) hAPP(all_1628_10, all_1628_13) = all_1628_9
% 276.52/42.03 | (448) hAPP(all_1628_8, all_1628_6) = all_1628_5
% 276.52/42.03 | (449) hAPP(all_1628_7, all_1628_13) = all_1628_6
% 276.52/42.03 | (450) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1628_7
% 276.52/42.03 | (451) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1628_23
% 276.52/42.03 | (452) c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = all_1628_15
% 276.52/42.03 | (453) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1628_16
% 276.52/42.03 | (454) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1628_22
% 276.52/42.03 | (455) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1628_5) =
% 276.52/42.03 | all_1628_1
% 276.52/42.03 | (456) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1628_17
% 276.52/42.03 |
% 276.52/42.03 | DELTA: instantiating (52) with fresh symbols all_1636_0, all_1636_1,
% 276.52/42.03 | all_1636_2, all_1636_3, all_1636_4, all_1636_5, all_1636_6, all_1636_7,
% 276.52/42.03 | all_1636_8, all_1636_9, all_1636_10, all_1636_11, all_1636_12,
% 276.52/42.03 | all_1636_13, all_1636_14, all_1636_15, all_1636_16, all_1636_17,
% 276.52/42.03 | all_1636_18, all_1636_19, all_1636_20, all_1636_21, all_1636_22,
% 276.52/42.03 | all_1636_23, all_1636_24 gives:
% 276.52/42.03 | (457) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1636_8,
% 276.52/42.03 | all_1636_5) = all_1636_4 &
% 276.52/42.03 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1636_3,
% 276.52/42.03 | all_1636_0) = all_1636_9 &
% 276.52/42.03 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1636_24,
% 276.52/42.03 | all_1636_10) = all_1636_9 &
% 276.52/42.03 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____,
% 276.52/42.03 | all_1636_12) = all_1636_11 &
% 276.52/42.03 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1636_23 &
% 276.52/42.03 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1636_7 &
% 276.52/42.03 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1636_22 &
% 276.52/42.03 | c_RealVector_Oof__real(tc_Complex_Ocomplex, all_1636_4) = all_1636_3
% 276.52/42.03 | & c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = all_1636_21
% 276.52/42.03 | & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1636_8 &
% 276.52/42.03 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1636_24 &
% 276.52/42.03 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1636_14 &
% 276.52/42.03 | hAPP(all_1636_1, all_1636_13) = all_1636_0 & hAPP(all_1636_6,
% 276.52/42.03 | v_k____) = all_1636_5 & hAPP(all_1636_7, v_t____) = all_1636_6 &
% 276.52/42.03 | hAPP(all_1636_14, all_1636_19) = all_1636_13 & hAPP(all_1636_15,
% 276.52/42.03 | all_1636_13) = all_1636_12 & hAPP(all_1636_16, all_1636_11) =
% 276.52/42.03 | all_1636_10 & hAPP(all_1636_16, all_1636_19) = all_1636_2 &
% 276.52/42.03 | hAPP(all_1636_18, v_k____) = all_1636_17 & hAPP(all_1636_20, v_w____)
% 276.52/42.03 | = all_1636_19 & hAPP(all_1636_22, all_1636_19) = all_1636_18 &
% 276.52/42.03 | hAPP(all_1636_23, all_1636_2) = all_1636_1 & hAPP(all_1636_23,
% 276.52/42.03 | all_1636_17) = all_1636_16 & hAPP(all_1636_23, all_1636_19) =
% 276.52/42.03 | all_1636_15 & hAPP(all_1636_23, all_1636_21) = all_1636_20 &
% 276.52/42.03 | $i(all_1636_0) & $i(all_1636_1) & $i(all_1636_2) & $i(all_1636_3) &
% 276.52/42.03 | $i(all_1636_4) & $i(all_1636_5) & $i(all_1636_6) & $i(all_1636_7) &
% 276.52/42.03 | $i(all_1636_8) & $i(all_1636_9) & $i(all_1636_10) & $i(all_1636_11) &
% 276.52/42.03 | $i(all_1636_12) & $i(all_1636_13) & $i(all_1636_14) & $i(all_1636_15)
% 276.52/42.03 | & $i(all_1636_16) & $i(all_1636_17) & $i(all_1636_18) &
% 276.52/42.03 | $i(all_1636_19) & $i(all_1636_20) & $i(all_1636_21) & $i(all_1636_22)
% 276.52/42.03 | & $i(all_1636_23) & $i(all_1636_24)
% 276.52/42.03 |
% 276.52/42.03 | ALPHA: (457) implies:
% 276.52/42.03 | (458) hAPP(all_1636_23, all_1636_21) = all_1636_20
% 276.52/42.03 | (459) hAPP(all_1636_23, all_1636_17) = all_1636_16
% 276.52/42.03 | (460) hAPP(all_1636_23, all_1636_2) = all_1636_1
% 276.52/42.03 | (461) hAPP(all_1636_22, all_1636_19) = all_1636_18
% 276.52/42.03 | (462) hAPP(all_1636_20, v_w____) = all_1636_19
% 276.52/42.03 | (463) hAPP(all_1636_18, v_k____) = all_1636_17
% 276.52/42.03 | (464) hAPP(all_1636_16, all_1636_19) = all_1636_2
% 276.52/42.03 | (465) hAPP(all_1636_14, all_1636_19) = all_1636_13
% 276.52/42.03 | (466) hAPP(all_1636_7, v_t____) = all_1636_6
% 276.52/42.03 | (467) hAPP(all_1636_6, v_k____) = all_1636_5
% 276.52/42.03 | (468) hAPP(all_1636_1, all_1636_13) = all_1636_0
% 276.52/42.03 | (469) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1636_14
% 276.52/42.03 | (470) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1636_8
% 276.52/42.03 | (471) c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = all_1636_21
% 276.52/42.03 | (472) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1636_22
% 276.52/42.03 | (473) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1636_7
% 276.52/42.03 | (474) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1636_23
% 276.52/42.03 |
% 276.52/42.03 | DELTA: instantiating (84) with fresh symbols all_1638_0, all_1638_1,
% 276.52/42.03 | all_1638_2, all_1638_3, all_1638_4, all_1638_5, all_1638_6, all_1638_7,
% 276.52/42.03 | all_1638_8, all_1638_9, all_1638_10, all_1638_11, all_1638_12,
% 276.52/42.03 | all_1638_13, all_1638_14, all_1638_15, all_1638_16, all_1638_17,
% 276.52/42.03 | all_1638_18 gives:
% 276.52/42.03 | (475) ~ (all_1638_5 = all_1638_18) & ~ (all_1638_6 = all_1638_17) &
% 276.52/42.03 | c_Polynomial_OpCons(tc_Complex_Ocomplex, all_1638_5, all_1638_4) =
% 276.52/42.03 | all_1638_1 & c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1638_13,
% 276.52/42.03 | v_q____) = all_1638_12 &
% 276.52/42.03 | c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, all_1638_14) =
% 276.52/42.03 | all_1638_13 &
% 276.52/42.03 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 276.52/42.03 | all_1638_4) = all_1638_3 &
% 276.52/42.03 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 276.52/42.03 | all_1638_12) = all_1638_11 &
% 276.52/42.03 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_1638_2, all_1638_16) =
% 276.52/42.03 | all_1638_11 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_1638_3,
% 276.52/42.03 | all_1638_6) = all_1638_2 &
% 276.52/42.03 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1638_8 &
% 276.52/42.03 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1638_7 &
% 276.52/42.03 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1638_16 &
% 276.52/42.03 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1638_17 &
% 276.52/42.03 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1638_18 &
% 276.52/42.03 | c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1638_1) = all_1638_0 &
% 276.52/42.03 | c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1638_12) = all_1638_10 &
% 276.52/42.03 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = all_1638_15 &
% 276.52/42.03 | hAPP(all_1638_10, all_1638_18) = all_1638_9 & hAPP(all_1638_15,
% 276.52/42.03 | all_1638_18) = all_1638_14 & $i(all_1638_0) & $i(all_1638_1) &
% 276.52/42.03 | $i(all_1638_2) & $i(all_1638_3) & $i(all_1638_4) & $i(all_1638_5) &
% 276.52/42.03 | $i(all_1638_6) & $i(all_1638_7) & $i(all_1638_8) & $i(all_1638_9) &
% 276.52/42.03 | $i(all_1638_10) & $i(all_1638_11) & $i(all_1638_12) & $i(all_1638_13)
% 276.52/42.03 | & $i(all_1638_14) & $i(all_1638_15) & $i(all_1638_16) &
% 276.52/42.03 | $i(all_1638_17) & $i(all_1638_18) & ! [v0: $i] : ! [v1: $i] : ( ~
% 276.52/42.03 | (hAPP(all_1638_10, v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3:
% 276.52/42.03 | $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 276.52/42.03 | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1638_9, v6) =
% 276.52/42.03 | v1 & hAPP(v4, v5) = v6 & hAPP(v2, all_1638_6) = v3 &
% 276.52/42.03 | hAPP(all_1638_0, v0) = v5 & hAPP(all_1638_7, v0) = v2 &
% 276.52/42.03 | hAPP(all_1638_8, v3) = v4 & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 276.52/42.03 | $i(v2) & $i(v1)))
% 276.52/42.03 |
% 276.52/42.03 | ALPHA: (475) implies:
% 276.52/42.03 | (476) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1638_16
% 276.52/42.03 | (477) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1638_7
% 276.52/42.03 | (478) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1638_8
% 276.52/42.03 |
% 276.52/42.03 | DELTA: instantiating (50) with fresh symbols all_1641_0, all_1641_1,
% 276.52/42.03 | all_1641_2, all_1641_3, all_1641_4, all_1641_5, all_1641_6, all_1641_7,
% 276.52/42.03 | all_1641_8, all_1641_9, all_1641_10, all_1641_11, all_1641_12,
% 276.52/42.03 | all_1641_13, all_1641_14, all_1641_15, all_1641_16, all_1641_17,
% 276.52/42.03 | all_1641_18, all_1641_19, all_1641_20, all_1641_21, all_1641_22,
% 276.52/42.03 | all_1641_23, all_1641_24, all_1641_25, all_1641_26 gives:
% 276.52/42.04 | (479) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1641_9,
% 276.52/42.04 | all_1641_6) = all_1641_5 &
% 276.52/42.04 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1641_4,
% 276.52/42.04 | all_1641_1) = all_1641_0 &
% 276.52/42.04 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1641_26,
% 276.52/42.04 | all_1641_12) = all_1641_11 &
% 276.52/42.04 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____,
% 276.52/42.04 | all_1641_14) = all_1641_13 &
% 276.52/42.04 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1641_25 &
% 276.52/42.04 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1641_0) =
% 276.52/42.04 | all_1641_10 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 276.52/42.04 | all_1641_11) = all_1641_10 &
% 276.52/42.04 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1641_8 &
% 276.52/42.04 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1641_24 &
% 276.52/42.04 | c_RealVector_Oof__real(tc_Complex_Ocomplex, all_1641_5) = all_1641_4
% 276.52/42.04 | & c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = all_1641_23
% 276.52/42.04 | & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1641_9 &
% 276.52/42.04 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1641_26 &
% 276.52/42.04 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1641_16 &
% 276.52/42.04 | hAPP(all_1641_2, all_1641_15) = all_1641_1 & hAPP(all_1641_7,
% 276.52/42.04 | v_k____) = all_1641_6 & hAPP(all_1641_8, v_t____) = all_1641_7 &
% 276.52/42.04 | hAPP(all_1641_16, all_1641_21) = all_1641_15 & hAPP(all_1641_17,
% 276.52/42.04 | all_1641_15) = all_1641_14 & hAPP(all_1641_18, all_1641_13) =
% 276.52/42.04 | all_1641_12 & hAPP(all_1641_18, all_1641_21) = all_1641_3 &
% 276.52/42.04 | hAPP(all_1641_20, v_k____) = all_1641_19 & hAPP(all_1641_22, v_w____)
% 276.52/42.04 | = all_1641_21 & hAPP(all_1641_24, all_1641_21) = all_1641_20 &
% 276.52/42.04 | hAPP(all_1641_25, all_1641_3) = all_1641_2 & hAPP(all_1641_25,
% 276.52/42.04 | all_1641_19) = all_1641_18 & hAPP(all_1641_25, all_1641_21) =
% 276.52/42.04 | all_1641_17 & hAPP(all_1641_25, all_1641_23) = all_1641_22 &
% 276.52/42.04 | $i(all_1641_0) & $i(all_1641_1) & $i(all_1641_2) & $i(all_1641_3) &
% 276.52/42.04 | $i(all_1641_4) & $i(all_1641_5) & $i(all_1641_6) & $i(all_1641_7) &
% 276.52/42.04 | $i(all_1641_8) & $i(all_1641_9) & $i(all_1641_10) & $i(all_1641_11) &
% 276.52/42.04 | $i(all_1641_12) & $i(all_1641_13) & $i(all_1641_14) & $i(all_1641_15)
% 276.52/42.04 | & $i(all_1641_16) & $i(all_1641_17) & $i(all_1641_18) &
% 276.52/42.04 | $i(all_1641_19) & $i(all_1641_20) & $i(all_1641_21) & $i(all_1641_22)
% 276.52/42.04 | & $i(all_1641_23) & $i(all_1641_24) & $i(all_1641_25) &
% 276.52/42.04 | $i(all_1641_26)
% 276.52/42.04 |
% 276.52/42.04 | ALPHA: (479) implies:
% 276.52/42.04 | (480) hAPP(all_1641_25, all_1641_23) = all_1641_22
% 276.52/42.04 | (481) hAPP(all_1641_25, all_1641_19) = all_1641_18
% 276.52/42.04 | (482) hAPP(all_1641_25, all_1641_3) = all_1641_2
% 276.52/42.04 | (483) hAPP(all_1641_24, all_1641_21) = all_1641_20
% 276.52/42.04 | (484) hAPP(all_1641_22, v_w____) = all_1641_21
% 276.52/42.04 | (485) hAPP(all_1641_20, v_k____) = all_1641_19
% 276.52/42.04 | (486) hAPP(all_1641_18, all_1641_21) = all_1641_3
% 276.52/42.04 | (487) hAPP(all_1641_16, all_1641_21) = all_1641_15
% 276.52/42.04 | (488) hAPP(all_1641_8, v_t____) = all_1641_7
% 276.52/42.04 | (489) hAPP(all_1641_7, v_k____) = all_1641_6
% 276.52/42.04 | (490) hAPP(all_1641_2, all_1641_15) = all_1641_1
% 276.52/42.04 | (491) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1641_16
% 276.52/42.04 | (492) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1641_9
% 276.52/42.04 | (493) c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = all_1641_23
% 276.52/42.04 | (494) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1641_24
% 276.52/42.04 | (495) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1641_8
% 276.52/42.04 | (496) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1641_25
% 276.52/42.04 |
% 276.52/42.04 | DELTA: instantiating (55) with fresh symbols all_1643_0, all_1643_1,
% 276.52/42.04 | all_1643_2, all_1643_3, all_1643_4, all_1643_5, all_1643_6, all_1643_7,
% 276.52/42.04 | all_1643_8, all_1643_9, all_1643_10, all_1643_11, all_1643_12,
% 276.52/42.04 | all_1643_13, all_1643_14, all_1643_15, all_1643_16, all_1643_17,
% 276.52/42.04 | all_1643_18, all_1643_19, all_1643_20, all_1643_21, all_1643_22,
% 276.52/42.04 | all_1643_23, all_1643_24, all_1643_25, all_1643_26, all_1643_27 gives:
% 276.52/42.04 | (497) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1643_6) = all_1643_5
% 276.52/42.04 | & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1643_10,
% 276.52/42.04 | all_1643_7) = all_1643_6 &
% 276.52/42.04 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1643_5, all_1643_1)
% 276.52/42.04 | = all_1643_0 & c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,
% 276.52/42.04 | all_1643_27, all_1643_13) = all_1643_12 &
% 276.52/42.04 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____,
% 276.52/42.04 | all_1643_15) = all_1643_14 &
% 276.52/42.04 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1643_26 &
% 276.52/42.04 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1643_2) =
% 276.52/42.04 | all_1643_1 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 276.52/42.04 | all_1643_12) = all_1643_11 &
% 276.52/42.04 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1643_9 &
% 276.52/42.04 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1643_25 &
% 276.52/42.04 | c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = all_1643_24 &
% 276.52/42.04 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1643_10 &
% 276.52/42.04 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1643_27 &
% 276.52/42.04 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1643_17 &
% 276.52/42.04 | hAPP(all_1643_3, all_1643_16) = all_1643_2 & hAPP(all_1643_8,
% 276.52/42.04 | v_k____) = all_1643_7 & hAPP(all_1643_9, v_t____) = all_1643_8 &
% 276.52/42.04 | hAPP(all_1643_17, all_1643_22) = all_1643_16 & hAPP(all_1643_18,
% 276.52/42.04 | all_1643_16) = all_1643_15 & hAPP(all_1643_19, all_1643_14) =
% 276.52/42.04 | all_1643_13 & hAPP(all_1643_19, all_1643_22) = all_1643_4 &
% 276.52/42.04 | hAPP(all_1643_21, v_k____) = all_1643_20 & hAPP(all_1643_23, v_w____)
% 276.52/42.04 | = all_1643_22 & hAPP(all_1643_25, all_1643_22) = all_1643_21 &
% 276.52/42.04 | hAPP(all_1643_26, all_1643_4) = all_1643_3 & hAPP(all_1643_26,
% 276.52/42.04 | all_1643_20) = all_1643_19 & hAPP(all_1643_26, all_1643_22) =
% 276.52/42.04 | all_1643_18 & hAPP(all_1643_26, all_1643_24) = all_1643_23 &
% 276.52/42.04 | $i(all_1643_0) & $i(all_1643_1) & $i(all_1643_2) & $i(all_1643_3) &
% 276.52/42.04 | $i(all_1643_4) & $i(all_1643_5) & $i(all_1643_6) & $i(all_1643_7) &
% 276.52/42.04 | $i(all_1643_8) & $i(all_1643_9) & $i(all_1643_10) & $i(all_1643_11) &
% 276.52/42.04 | $i(all_1643_12) & $i(all_1643_13) & $i(all_1643_14) & $i(all_1643_15)
% 276.52/42.04 | & $i(all_1643_16) & $i(all_1643_17) & $i(all_1643_18) &
% 276.52/42.04 | $i(all_1643_19) & $i(all_1643_20) & $i(all_1643_21) & $i(all_1643_22)
% 276.52/42.04 | & $i(all_1643_23) & $i(all_1643_24) & $i(all_1643_25) &
% 276.52/42.04 | $i(all_1643_26) & $i(all_1643_27) &
% 276.52/42.04 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1643_11,
% 276.52/42.04 | all_1643_0)
% 276.52/42.04 |
% 276.52/42.04 | ALPHA: (497) implies:
% 276.52/42.04 | (498) hAPP(all_1643_26, all_1643_24) = all_1643_23
% 276.52/42.04 | (499) hAPP(all_1643_26, all_1643_20) = all_1643_19
% 276.52/42.04 | (500) hAPP(all_1643_26, all_1643_4) = all_1643_3
% 276.52/42.04 | (501) hAPP(all_1643_25, all_1643_22) = all_1643_21
% 276.52/42.04 | (502) hAPP(all_1643_23, v_w____) = all_1643_22
% 276.52/42.04 | (503) hAPP(all_1643_21, v_k____) = all_1643_20
% 276.52/42.04 | (504) hAPP(all_1643_19, all_1643_22) = all_1643_4
% 276.52/42.04 | (505) hAPP(all_1643_17, all_1643_22) = all_1643_16
% 276.52/42.04 | (506) hAPP(all_1643_9, v_t____) = all_1643_8
% 276.52/42.04 | (507) hAPP(all_1643_8, v_k____) = all_1643_7
% 276.52/42.04 | (508) hAPP(all_1643_3, all_1643_16) = all_1643_2
% 276.52/42.04 | (509) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1643_17
% 276.52/42.04 | (510) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1643_10
% 276.52/42.04 | (511) c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = all_1643_24
% 276.52/42.04 | (512) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1643_25
% 276.52/42.04 | (513) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1643_9
% 276.52/42.04 | (514) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1643_2) =
% 276.52/42.04 | all_1643_1
% 276.52/42.04 | (515) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1643_26
% 276.52/42.04 |
% 276.52/42.04 | DELTA: instantiating (39) with fresh symbols all_1645_0, all_1645_1,
% 276.52/42.04 | all_1645_2, all_1645_3, all_1645_4, all_1645_5, all_1645_6, all_1645_7,
% 276.52/42.04 | all_1645_8, all_1645_9, all_1645_10, all_1645_11, all_1645_12,
% 276.52/42.04 | all_1645_13, all_1645_14, all_1645_15, all_1645_16, all_1645_17,
% 276.52/42.04 | all_1645_18, all_1645_19, all_1645_20, all_1645_21, all_1645_22,
% 276.52/42.04 | all_1645_23, all_1645_24, all_1645_25, all_1645_26, all_1645_27 gives:
% 276.52/42.04 | (516) c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1645_3,
% 276.52/42.04 | all_1645_0) = all_1645_12 &
% 276.52/42.04 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1645_27,
% 276.52/42.04 | all_1645_4) = all_1645_3 &
% 276.52/42.04 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1645_27,
% 276.52/42.04 | all_1645_13) = all_1645_12 &
% 276.52/42.04 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____,
% 276.52/42.04 | all_1645_15) = all_1645_14 &
% 276.52/42.04 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1645_26 &
% 276.52/42.04 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1645_25 &
% 276.52/42.04 | c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = all_1645_24 &
% 276.52/42.04 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1645_27 &
% 276.52/42.04 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1645_17 &
% 276.52/42.04 | hAPP(all_1645_1, all_1645_16) = all_1645_0 & hAPP(all_1645_6,
% 276.52/42.04 | v_a____) = all_1645_5 & hAPP(all_1645_8, v_k____) = all_1645_7 &
% 276.52/42.04 | hAPP(all_1645_9, all_1645_5) = all_1645_4 & hAPP(all_1645_11,
% 276.52/42.04 | v_k____) = all_1645_10 & hAPP(all_1645_17, all_1645_22) =
% 276.52/42.04 | all_1645_16 & hAPP(all_1645_18, all_1645_16) = all_1645_15 &
% 276.52/42.04 | hAPP(all_1645_19, all_1645_14) = all_1645_13 & hAPP(all_1645_19,
% 276.52/42.04 | all_1645_22) = all_1645_2 & hAPP(all_1645_21, v_k____) =
% 276.52/42.04 | all_1645_20 & hAPP(all_1645_23, v_w____) = all_1645_22 &
% 276.52/42.04 | hAPP(all_1645_25, all_1645_22) = all_1645_21 & hAPP(all_1645_25,
% 276.52/42.04 | all_1645_24) = all_1645_11 & hAPP(all_1645_25, v_w____) =
% 276.52/42.04 | all_1645_8 & hAPP(all_1645_26, all_1645_2) = all_1645_1 &
% 276.52/42.04 | hAPP(all_1645_26, all_1645_7) = all_1645_6 & hAPP(all_1645_26,
% 276.52/42.04 | all_1645_10) = all_1645_9 & hAPP(all_1645_26, all_1645_20) =
% 276.52/42.04 | all_1645_19 & hAPP(all_1645_26, all_1645_22) = all_1645_18 &
% 276.52/42.04 | hAPP(all_1645_26, all_1645_24) = all_1645_23 & $i(all_1645_0) &
% 276.52/42.04 | $i(all_1645_1) & $i(all_1645_2) & $i(all_1645_3) & $i(all_1645_4) &
% 276.52/42.04 | $i(all_1645_5) & $i(all_1645_6) & $i(all_1645_7) & $i(all_1645_8) &
% 276.52/42.04 | $i(all_1645_9) & $i(all_1645_10) & $i(all_1645_11) & $i(all_1645_12)
% 276.52/42.04 | & $i(all_1645_13) & $i(all_1645_14) & $i(all_1645_15) &
% 276.52/42.04 | $i(all_1645_16) & $i(all_1645_17) & $i(all_1645_18) & $i(all_1645_19)
% 276.52/42.04 | & $i(all_1645_20) & $i(all_1645_21) & $i(all_1645_22) &
% 276.52/42.04 | $i(all_1645_23) & $i(all_1645_24) & $i(all_1645_25) & $i(all_1645_26)
% 276.52/42.04 | & $i(all_1645_27)
% 276.52/42.04 |
% 276.52/42.04 | ALPHA: (516) implies:
% 276.52/42.04 | (517) hAPP(all_1645_26, all_1645_24) = all_1645_23
% 276.52/42.04 | (518) hAPP(all_1645_26, all_1645_20) = all_1645_19
% 276.52/42.04 | (519) hAPP(all_1645_26, all_1645_2) = all_1645_1
% 276.52/42.04 | (520) hAPP(all_1645_25, all_1645_22) = all_1645_21
% 276.52/42.04 | (521) hAPP(all_1645_23, v_w____) = all_1645_22
% 276.52/42.04 | (522) hAPP(all_1645_21, v_k____) = all_1645_20
% 276.52/42.04 | (523) hAPP(all_1645_19, all_1645_22) = all_1645_2
% 276.52/42.04 | (524) hAPP(all_1645_17, all_1645_22) = all_1645_16
% 276.52/42.04 | (525) hAPP(all_1645_1, all_1645_16) = all_1645_0
% 276.52/42.04 | (526) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1645_17
% 276.52/42.04 | (527) c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = all_1645_24
% 276.52/42.04 | (528) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1645_25
% 276.52/42.04 | (529) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1645_26
% 276.52/42.04 |
% 276.52/42.04 | DELTA: instantiating (16) with fresh symbols all_1647_0, all_1647_1,
% 276.52/42.04 | all_1647_2, all_1647_3, all_1647_4, all_1647_5, all_1647_6, all_1647_7,
% 276.52/42.04 | all_1647_8, all_1647_9, all_1647_10, all_1647_11, all_1647_12,
% 276.52/42.04 | all_1647_13, all_1647_14, all_1647_15, all_1647_16, all_1647_17,
% 276.52/42.04 | all_1647_18, all_1647_19, all_1647_20, all_1647_21, all_1647_22,
% 276.52/42.04 | all_1647_23, all_1647_24, all_1647_25, all_1647_26, all_1647_27,
% 276.52/42.04 | all_1647_28 gives:
% 276.52/42.04 | (530) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_1647_6) =
% 276.52/42.04 | all_1647_5 & c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) =
% 276.52/42.04 | all_1647_14 & c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) =
% 276.52/42.04 | all_1647_28 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 276.52/42.04 | all_1647_16) = all_1647_15 &
% 276.52/42.04 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 276.52/42.04 | all_1647_8 & c_Power_Opower__class_Opower(tc_RealDef_Oreal) =
% 276.52/42.04 | all_1647_13 & c_Power_Opower__class_Opower(tc_Complex_Ocomplex) =
% 276.52/42.04 | all_1647_27 & c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) =
% 276.52/42.04 | all_1647_26 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1647_6 &
% 276.52/42.04 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1647_18 &
% 276.52/42.04 | hAPP(all_1647_3, v_m____) = all_1647_2 & hAPP(all_1647_7, all_1647_5)
% 276.52/42.04 | = all_1647_4 & hAPP(all_1647_9, all_1647_2) = all_1647_1 &
% 276.52/42.04 | hAPP(all_1647_10, all_1647_1) = all_1647_0 & hAPP(all_1647_12,
% 276.52/42.04 | v_k____) = all_1647_11 & hAPP(all_1647_13, all_1647_8) = all_1647_7
% 276.52/42.04 | & hAPP(all_1647_13, v_t____) = all_1647_12 & hAPP(all_1647_14,
% 276.52/42.04 | all_1647_4) = all_1647_3 & hAPP(all_1647_14, all_1647_11) =
% 276.52/42.04 | all_1647_10 & hAPP(all_1647_14, v_t____) = all_1647_9 &
% 276.52/42.04 | hAPP(all_1647_18, all_1647_24) = all_1647_17 & hAPP(all_1647_19,
% 276.52/42.04 | all_1647_17) = all_1647_16 & hAPP(all_1647_21, all_1647_24) =
% 276.52/42.04 | all_1647_20 & hAPP(all_1647_23, v_k____) = all_1647_22 &
% 276.52/42.04 | hAPP(all_1647_25, v_w____) = all_1647_24 & hAPP(all_1647_27,
% 276.52/42.04 | all_1647_24) = all_1647_23 & hAPP(all_1647_28, all_1647_20) =
% 276.52/42.04 | all_1647_19 & hAPP(all_1647_28, all_1647_22) = all_1647_21 &
% 276.52/42.04 | hAPP(all_1647_28, all_1647_26) = all_1647_25 & $i(all_1647_0) &
% 276.52/42.04 | $i(all_1647_1) & $i(all_1647_2) & $i(all_1647_3) & $i(all_1647_4) &
% 276.52/42.04 | $i(all_1647_5) & $i(all_1647_6) & $i(all_1647_7) & $i(all_1647_8) &
% 276.52/42.04 | $i(all_1647_9) & $i(all_1647_10) & $i(all_1647_11) & $i(all_1647_12)
% 276.52/42.04 | & $i(all_1647_13) & $i(all_1647_14) & $i(all_1647_15) &
% 276.52/42.04 | $i(all_1647_16) & $i(all_1647_17) & $i(all_1647_18) & $i(all_1647_19)
% 276.52/42.04 | & $i(all_1647_20) & $i(all_1647_21) & $i(all_1647_22) &
% 276.52/42.04 | $i(all_1647_23) & $i(all_1647_24) & $i(all_1647_25) & $i(all_1647_26)
% 276.52/42.04 | & $i(all_1647_27) & $i(all_1647_28) &
% 276.52/42.04 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1647_15,
% 276.52/42.04 | all_1647_0)
% 276.52/42.04 |
% 276.52/42.04 | ALPHA: (530) implies:
% 276.52/42.04 | (531) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1647_15,
% 276.52/42.04 | all_1647_0)
% 276.52/42.04 | (532) $i(all_1647_0)
% 276.52/42.04 | (533) hAPP(all_1647_28, all_1647_26) = all_1647_25
% 276.52/42.04 | (534) hAPP(all_1647_28, all_1647_22) = all_1647_21
% 276.52/42.04 | (535) hAPP(all_1647_28, all_1647_20) = all_1647_19
% 276.52/42.04 | (536) hAPP(all_1647_27, all_1647_24) = all_1647_23
% 276.52/42.04 | (537) hAPP(all_1647_25, v_w____) = all_1647_24
% 276.52/42.04 | (538) hAPP(all_1647_23, v_k____) = all_1647_22
% 276.52/42.04 | (539) hAPP(all_1647_21, all_1647_24) = all_1647_20
% 276.52/42.04 | (540) hAPP(all_1647_19, all_1647_17) = all_1647_16
% 276.52/42.04 | (541) hAPP(all_1647_18, all_1647_24) = all_1647_17
% 276.52/42.04 | (542) hAPP(all_1647_14, v_t____) = all_1647_9
% 276.52/42.04 | (543) hAPP(all_1647_14, all_1647_11) = all_1647_10
% 276.52/42.04 | (544) hAPP(all_1647_14, all_1647_4) = all_1647_3
% 276.52/42.04 | (545) hAPP(all_1647_13, v_t____) = all_1647_12
% 276.52/42.04 | (546) hAPP(all_1647_13, all_1647_8) = all_1647_7
% 276.52/42.04 | (547) hAPP(all_1647_12, v_k____) = all_1647_11
% 276.52/42.04 | (548) hAPP(all_1647_10, all_1647_1) = all_1647_0
% 276.52/42.04 | (549) hAPP(all_1647_9, all_1647_2) = all_1647_1
% 276.52/42.04 | (550) hAPP(all_1647_7, all_1647_5) = all_1647_4
% 276.52/42.04 | (551) hAPP(all_1647_3, v_m____) = all_1647_2
% 276.52/42.04 | (552) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1647_18
% 276.52/42.04 | (553) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1647_6
% 276.52/42.04 | (554) c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = all_1647_26
% 276.52/42.04 | (555) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1647_27
% 276.52/42.04 | (556) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1647_13
% 276.52/42.04 | (557) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 276.52/42.04 | all_1647_8
% 276.52/42.04 | (558) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1647_16) =
% 276.52/42.04 | all_1647_15
% 276.52/42.04 | (559) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1647_28
% 276.52/42.04 | (560) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1647_14
% 276.52/42.04 | (561) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_1647_6) =
% 276.52/42.04 | all_1647_5
% 276.52/42.04 |
% 276.52/42.04 | DELTA: instantiating (24) with fresh symbols all_1649_0, all_1649_1,
% 276.52/42.04 | all_1649_2, all_1649_3, all_1649_4, all_1649_5, all_1649_6, all_1649_7,
% 276.52/42.04 | all_1649_8, all_1649_9, all_1649_10, all_1649_11, all_1649_12,
% 276.52/42.04 | all_1649_13, all_1649_14, all_1649_15, all_1649_16, all_1649_17,
% 276.52/42.04 | all_1649_18, all_1649_19, all_1649_20, all_1649_21, all_1649_22,
% 276.52/42.04 | all_1649_23, all_1649_24, all_1649_25, all_1649_26, all_1649_27,
% 276.52/42.04 | all_1649_28 gives:
% 276.52/42.04 | (562) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_1649_6) =
% 276.52/42.04 | all_1649_5 & c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) =
% 276.52/42.04 | all_1649_14 & c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) =
% 276.52/42.04 | all_1649_28 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 276.52/42.04 | all_1649_16) = all_1649_15 &
% 276.52/42.04 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1649_17) =
% 276.52/42.04 | all_1649_2 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 276.52/42.04 | v_w____) = all_1649_8 &
% 276.52/42.04 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1649_13 &
% 276.52/42.04 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1649_27 &
% 276.52/42.04 | c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = all_1649_26 &
% 276.52/42.04 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1649_6 &
% 276.52/42.04 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1649_18 &
% 276.52/42.04 | hAPP(all_1649_3, all_1649_2) = all_1649_1 & hAPP(all_1649_7,
% 276.52/42.04 | all_1649_5) = all_1649_4 & hAPP(all_1649_9, all_1649_1) =
% 276.52/42.04 | all_1649_0 & hAPP(all_1649_10, all_1649_0) = all_1649_15 &
% 276.52/42.04 | hAPP(all_1649_12, v_k____) = all_1649_11 & hAPP(all_1649_13,
% 276.52/42.04 | all_1649_8) = all_1649_7 & hAPP(all_1649_13, v_t____) = all_1649_12
% 276.52/42.04 | & hAPP(all_1649_14, all_1649_4) = all_1649_3 & hAPP(all_1649_14,
% 276.52/42.04 | all_1649_11) = all_1649_10 & hAPP(all_1649_14, v_t____) =
% 276.52/42.04 | all_1649_9 & hAPP(all_1649_18, all_1649_24) = all_1649_17 &
% 276.52/42.04 | hAPP(all_1649_19, all_1649_17) = all_1649_16 & hAPP(all_1649_21,
% 276.52/42.04 | all_1649_24) = all_1649_20 & hAPP(all_1649_23, v_k____) =
% 276.52/42.04 | all_1649_22 & hAPP(all_1649_25, v_w____) = all_1649_24 &
% 276.52/42.04 | hAPP(all_1649_27, all_1649_24) = all_1649_23 & hAPP(all_1649_28,
% 276.52/42.04 | all_1649_20) = all_1649_19 & hAPP(all_1649_28, all_1649_22) =
% 276.52/42.04 | all_1649_21 & hAPP(all_1649_28, all_1649_26) = all_1649_25 &
% 276.52/42.04 | $i(all_1649_0) & $i(all_1649_1) & $i(all_1649_2) & $i(all_1649_3) &
% 276.52/42.04 | $i(all_1649_4) & $i(all_1649_5) & $i(all_1649_6) & $i(all_1649_7) &
% 276.52/42.04 | $i(all_1649_8) & $i(all_1649_9) & $i(all_1649_10) & $i(all_1649_11) &
% 276.52/42.04 | $i(all_1649_12) & $i(all_1649_13) & $i(all_1649_14) & $i(all_1649_15)
% 276.52/42.04 | & $i(all_1649_16) & $i(all_1649_17) & $i(all_1649_18) &
% 276.52/42.04 | $i(all_1649_19) & $i(all_1649_20) & $i(all_1649_21) & $i(all_1649_22)
% 276.52/42.04 | & $i(all_1649_23) & $i(all_1649_24) & $i(all_1649_25) &
% 276.52/42.04 | $i(all_1649_26) & $i(all_1649_27) & $i(all_1649_28)
% 276.52/42.04 |
% 276.52/42.04 | ALPHA: (562) implies:
% 276.52/42.04 | (563) hAPP(all_1649_28, all_1649_26) = all_1649_25
% 276.52/42.04 | (564) hAPP(all_1649_28, all_1649_22) = all_1649_21
% 276.52/42.04 | (565) hAPP(all_1649_28, all_1649_20) = all_1649_19
% 276.52/42.04 | (566) hAPP(all_1649_27, all_1649_24) = all_1649_23
% 276.52/42.04 | (567) hAPP(all_1649_25, v_w____) = all_1649_24
% 276.52/42.04 | (568) hAPP(all_1649_23, v_k____) = all_1649_22
% 276.52/42.04 | (569) hAPP(all_1649_21, all_1649_24) = all_1649_20
% 276.52/42.04 | (570) hAPP(all_1649_19, all_1649_17) = all_1649_16
% 276.52/42.04 | (571) hAPP(all_1649_18, all_1649_24) = all_1649_17
% 276.52/42.04 | (572) hAPP(all_1649_14, v_t____) = all_1649_9
% 276.52/42.04 | (573) hAPP(all_1649_14, all_1649_11) = all_1649_10
% 276.52/42.04 | (574) hAPP(all_1649_14, all_1649_4) = all_1649_3
% 276.52/42.04 | (575) hAPP(all_1649_13, v_t____) = all_1649_12
% 276.52/42.04 | (576) hAPP(all_1649_13, all_1649_8) = all_1649_7
% 276.52/42.04 | (577) hAPP(all_1649_12, v_k____) = all_1649_11
% 276.52/42.04 | (578) hAPP(all_1649_7, all_1649_5) = all_1649_4
% 276.52/42.04 | (579) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1649_18
% 276.52/42.04 | (580) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1649_6
% 276.52/42.04 | (581) c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = all_1649_26
% 276.52/42.04 | (582) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1649_27
% 276.52/42.04 | (583) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1649_13
% 276.52/42.04 | (584) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 276.52/42.04 | all_1649_8
% 276.52/42.04 | (585) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1649_16) =
% 276.52/42.04 | all_1649_15
% 276.52/42.04 | (586) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1649_28
% 276.52/42.04 | (587) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1649_14
% 276.52/42.04 | (588) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_1649_6) =
% 276.52/42.04 | all_1649_5
% 276.52/42.04 |
% 276.52/42.04 | DELTA: instantiating (51) with fresh symbols all_1651_0, all_1651_1,
% 276.52/42.04 | all_1651_2, all_1651_3, all_1651_4, all_1651_5, all_1651_6, all_1651_7,
% 276.52/42.04 | all_1651_8, all_1651_9, all_1651_10, all_1651_11, all_1651_12,
% 276.52/42.04 | all_1651_13, all_1651_14, all_1651_15, all_1651_16, all_1651_17,
% 276.52/42.04 | all_1651_18, all_1651_19, all_1651_20, all_1651_21, all_1651_22,
% 276.52/42.04 | all_1651_23, all_1651_24, all_1651_25, all_1651_26, all_1651_27,
% 276.52/42.04 | all_1651_28, all_1651_29 gives:
% 276.52/42.05 | (589) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1651_5,
% 276.52/42.05 | all_1651_2) = all_1651_1 &
% 276.52/42.05 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1651_0,
% 276.52/42.05 | all_1651_7) = all_1651_6 &
% 276.52/42.05 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1651_17,
% 276.52/42.05 | all_1651_7) = all_1651_6 &
% 276.52/42.05 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1651_29,
% 276.52/42.05 | all_1651_18) = all_1651_17 &
% 276.52/42.05 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1651_28 &
% 276.52/42.05 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1651_4 &
% 276.52/42.05 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1651_27 &
% 276.52/42.05 | c_RealVector_Oof__real(tc_Complex_Ocomplex, all_1651_1) = all_1651_0
% 276.52/42.05 | & c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = all_1651_26
% 276.52/42.05 | & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1651_5 &
% 276.52/42.05 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1651_29 &
% 276.52/42.05 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1651_9 &
% 276.52/42.05 | hAPP(all_1651_3, v_k____) = all_1651_2 & hAPP(all_1651_4, v_t____) =
% 276.52/42.05 | all_1651_3 & hAPP(all_1651_9, all_1651_15) = all_1651_8 &
% 276.52/42.05 | hAPP(all_1651_10, all_1651_8) = all_1651_7 & hAPP(all_1651_12,
% 276.52/42.05 | all_1651_15) = all_1651_11 & hAPP(all_1651_14, v_k____) =
% 276.52/42.05 | all_1651_13 & hAPP(all_1651_16, v_w____) = all_1651_15 &
% 276.52/42.05 | hAPP(all_1651_20, v_a____) = all_1651_19 & hAPP(all_1651_22, v_k____)
% 276.52/42.05 | = all_1651_21 & hAPP(all_1651_23, all_1651_19) = all_1651_18 &
% 276.52/42.05 | hAPP(all_1651_25, v_k____) = all_1651_24 & hAPP(all_1651_27,
% 276.52/42.05 | all_1651_15) = all_1651_14 & hAPP(all_1651_27, all_1651_26) =
% 276.52/42.05 | all_1651_25 & hAPP(all_1651_27, v_w____) = all_1651_22 &
% 276.52/42.05 | hAPP(all_1651_28, all_1651_11) = all_1651_10 & hAPP(all_1651_28,
% 276.52/42.05 | all_1651_13) = all_1651_12 & hAPP(all_1651_28, all_1651_21) =
% 276.52/42.05 | all_1651_20 & hAPP(all_1651_28, all_1651_24) = all_1651_23 &
% 276.52/42.05 | hAPP(all_1651_28, all_1651_26) = all_1651_16 & $i(all_1651_0) &
% 276.52/42.05 | $i(all_1651_1) & $i(all_1651_2) & $i(all_1651_3) & $i(all_1651_4) &
% 276.52/42.05 | $i(all_1651_5) & $i(all_1651_6) & $i(all_1651_7) & $i(all_1651_8) &
% 276.52/42.05 | $i(all_1651_9) & $i(all_1651_10) & $i(all_1651_11) & $i(all_1651_12)
% 276.52/42.05 | & $i(all_1651_13) & $i(all_1651_14) & $i(all_1651_15) &
% 276.52/42.05 | $i(all_1651_16) & $i(all_1651_17) & $i(all_1651_18) & $i(all_1651_19)
% 276.52/42.05 | & $i(all_1651_20) & $i(all_1651_21) & $i(all_1651_22) &
% 276.52/42.05 | $i(all_1651_23) & $i(all_1651_24) & $i(all_1651_25) & $i(all_1651_26)
% 276.52/42.05 | & $i(all_1651_27) & $i(all_1651_28) & $i(all_1651_29)
% 276.52/42.05 |
% 276.52/42.05 | ALPHA: (589) implies:
% 276.52/42.05 | (590) hAPP(all_1651_28, all_1651_26) = all_1651_16
% 276.52/42.05 | (591) hAPP(all_1651_28, all_1651_13) = all_1651_12
% 276.52/42.05 | (592) hAPP(all_1651_28, all_1651_11) = all_1651_10
% 276.52/42.05 | (593) hAPP(all_1651_27, all_1651_15) = all_1651_14
% 276.52/42.05 | (594) hAPP(all_1651_16, v_w____) = all_1651_15
% 276.52/42.05 | (595) hAPP(all_1651_14, v_k____) = all_1651_13
% 276.52/42.05 | (596) hAPP(all_1651_12, all_1651_15) = all_1651_11
% 276.52/42.05 | (597) hAPP(all_1651_10, all_1651_8) = all_1651_7
% 276.52/42.05 | (598) hAPP(all_1651_9, all_1651_15) = all_1651_8
% 276.52/42.05 | (599) hAPP(all_1651_4, v_t____) = all_1651_3
% 276.52/42.05 | (600) hAPP(all_1651_3, v_k____) = all_1651_2
% 276.52/42.05 | (601) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1651_9
% 276.52/42.05 | (602) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1651_5
% 276.52/42.05 | (603) c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = all_1651_26
% 276.52/42.05 | (604) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1651_27
% 276.52/42.05 | (605) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1651_4
% 276.52/42.05 | (606) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1651_28
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (121) with all_1621_6, all_1628_7, v_s____,
% 276.52/42.05 | tc_Complex_Ocomplex, simplifying with (409), (450) gives:
% 276.52/42.05 | (607) all_1628_7 = all_1621_6
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (121) with all_1628_7, all_1636_14, v_s____,
% 276.52/42.05 | tc_Complex_Ocomplex, simplifying with (450), (469) gives:
% 276.52/42.05 | (608) all_1636_14 = all_1628_7
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (121) with all_1636_14, all_1641_16, v_s____,
% 276.52/42.05 | tc_Complex_Ocomplex, simplifying with (469), (491) gives:
% 276.52/42.05 | (609) all_1641_16 = all_1636_14
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (121) with all_1641_16, all_1643_17, v_s____,
% 276.52/42.05 | tc_Complex_Ocomplex, simplifying with (491), (509) gives:
% 276.52/42.05 | (610) all_1643_17 = all_1641_16
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (121) with all_1643_17, all_1645_17, v_s____,
% 276.52/42.05 | tc_Complex_Ocomplex, simplifying with (509), (526) gives:
% 276.52/42.05 | (611) all_1645_17 = all_1643_17
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (121) with all_1645_17, all_1647_18, v_s____,
% 276.52/42.05 | tc_Complex_Ocomplex, simplifying with (526), (552) gives:
% 276.52/42.05 | (612) all_1647_18 = all_1645_17
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (121) with all_1647_18, all_1649_18, v_s____,
% 276.52/42.05 | tc_Complex_Ocomplex, simplifying with (552), (579) gives:
% 276.52/42.05 | (613) all_1649_18 = all_1647_18
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (121) with all_1649_18, all_1651_9, v_s____,
% 276.52/42.05 | tc_Complex_Ocomplex, simplifying with (579), (601) gives:
% 276.52/42.05 | (614) all_1651_9 = all_1649_18
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (121) with all_1164_0, all_1651_9, v_s____,
% 276.52/42.05 | tc_Complex_Ocomplex, simplifying with (201), (601) gives:
% 276.52/42.05 | (615) all_1651_9 = all_1164_0
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_793_1, all_915_1, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (128), (144) gives:
% 276.52/42.05 | (616) all_915_1 = all_793_1
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_1071_0, all_1114_1, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (178), (188) gives:
% 276.52/42.05 | (617) all_1114_1 = all_1071_0
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_963_0, all_1114_1, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (153), (188) gives:
% 276.52/42.05 | (618) all_1114_1 = all_963_0
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_1071_0, all_1120_1, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (178), (191) gives:
% 276.52/42.05 | (619) all_1120_1 = all_1071_0
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_963_0, all_1175_5, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (153), (206) gives:
% 276.52/42.05 | (620) all_1175_5 = all_963_0
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_915_1, all_1175_5, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (144), (206) gives:
% 276.52/42.05 | (621) all_1175_5 = all_915_1
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_1167_4, all_1269_0, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (204), (225) gives:
% 276.52/42.05 | (622) all_1269_0 = all_1167_4
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_1175_5, all_1301_0, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (206), (244) gives:
% 276.52/42.05 | (623) all_1301_0 = all_1175_5
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_1288_0, all_1342_6, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (233), (256) gives:
% 276.52/42.05 | (624) all_1342_6 = all_1288_0
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_1269_0, all_1342_6, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (225), (256) gives:
% 276.52/42.05 | (625) all_1342_6 = all_1269_0
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_1161_1, all_1342_6, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (199), (256) gives:
% 276.52/42.05 | (626) all_1342_6 = all_1161_1
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_1120_1, all_1342_6, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (191), (256) gives:
% 276.52/42.05 | (627) all_1342_6 = all_1120_1
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_1269_0, all_1391_0, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (225), (271) gives:
% 276.52/42.05 | (628) all_1391_0 = all_1269_0
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_930_0, all_1391_0, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (149), (271) gives:
% 276.52/42.05 | (629) all_1391_0 = all_930_0
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_1301_0, all_1394_1, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (244), (273) gives:
% 276.52/42.05 | (630) all_1394_1 = all_1301_0
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_1394_1, all_1435_0, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (273), (292) gives:
% 276.52/42.05 | (631) all_1435_0 = all_1394_1
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_1435_0, all_1450_6, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (292), (296) gives:
% 276.52/42.05 | (632) all_1450_6 = all_1435_0
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_1269_0, all_1490_0, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (225), (313) gives:
% 276.52/42.05 | (633) all_1490_0 = all_1269_0
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_1175_5, all_1505_5, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (206), (323) gives:
% 276.52/42.05 | (634) all_1505_5 = all_1175_5
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_887_2, all_1505_5, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (137), (323) gives:
% 276.52/42.05 | (635) all_1505_5 = all_887_2
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_1490_0, all_1507_1, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (313), (329) gives:
% 276.52/42.05 | (636) all_1507_1 = all_1490_0
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_1114_1, all_1534_5, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (188), (337) gives:
% 276.52/42.05 | (637) all_1534_5 = all_1114_1
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_1534_5, all_1548_0, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (337), (351) gives:
% 276.52/42.05 | (638) all_1548_0 = all_1534_5
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_1507_1, all_1560_6, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (329), (363) gives:
% 276.52/42.05 | (639) all_1560_6 = all_1507_1
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_1548_0, all_1579_6, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (351), (382) gives:
% 276.52/42.05 | (640) all_1579_6 = all_1548_0
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_1450_6, all_1623_8, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (296), (429) gives:
% 276.52/42.05 | (641) all_1623_8 = all_1450_6
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_957_0, all_1623_8, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (151), (429) gives:
% 276.52/42.05 | (642) all_1623_8 = all_957_0
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_1579_6, all_1638_16, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (382), (476) gives:
% 276.52/42.05 | (643) all_1638_16 = all_1579_6
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_1560_6, all_1647_6, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (363), (553) gives:
% 276.52/42.05 | (644) all_1647_6 = all_1560_6
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_1245_0, all_1647_6, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (220), (553) gives:
% 276.52/42.05 | (645) all_1647_6 = all_1245_0
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_1638_16, all_1649_6, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (476), (580) gives:
% 276.52/42.05 | (646) all_1649_6 = all_1638_16
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_997_1, all_1649_6, tc_Nat_Onat,
% 276.52/42.05 | simplifying with (168), (580) gives:
% 276.52/42.05 | (647) all_1649_6 = all_997_1
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_819_1, all_829_1, tc_RealDef_Oreal,
% 276.52/42.05 | simplifying with (133), (135) gives:
% 276.52/42.05 | (648) all_829_1 = all_819_1
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_793_0, all_829_1, tc_RealDef_Oreal,
% 276.52/42.05 | simplifying with (129), (135) gives:
% 276.52/42.05 | (649) all_829_1 = all_793_0
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_819_1, all_907_0, tc_RealDef_Oreal,
% 276.52/42.05 | simplifying with (133), (140) gives:
% 276.52/42.05 | (650) all_907_0 = all_819_1
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_907_0, all_910_0, tc_RealDef_Oreal,
% 276.52/42.05 | simplifying with (140), (142) gives:
% 276.52/42.05 | (651) all_910_0 = all_907_0
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_829_1, all_983_1, tc_RealDef_Oreal,
% 276.52/42.05 | simplifying with (135), (157) gives:
% 276.52/42.05 | (652) all_983_1 = all_829_1
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_798_0, all_983_1, tc_RealDef_Oreal,
% 276.52/42.05 | simplifying with (131), (157) gives:
% 276.52/42.05 | (653) all_983_1 = all_798_0
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_983_1, all_1000_0, tc_RealDef_Oreal,
% 276.52/42.05 | simplifying with (157), (170) gives:
% 276.52/42.05 | (654) all_1000_0 = all_983_1
% 276.52/42.05 |
% 276.52/42.05 | GROUND_INST: instantiating (117) with all_1114_0, all_1126_0,
% 276.52/42.05 | tc_RealDef_Oreal, simplifying with (189), (194) gives:
% 276.52/42.05 | (655) all_1126_0 = all_1114_0
% 276.52/42.05 |
% 276.52/42.06 | GROUND_INST: instantiating (117) with all_744_0, all_1291_2, tc_RealDef_Oreal,
% 276.52/42.06 | simplifying with (126), (236) gives:
% 276.52/42.06 | (656) all_1291_2 = all_744_0
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (117) with all_1291_2, all_1301_1,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (236), (245) gives:
% 276.52/42.06 | (657) all_1301_1 = all_1291_2
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (117) with all_1120_0, all_1301_1,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (192), (245) gives:
% 276.52/42.06 | (658) all_1301_1 = all_1120_0
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (117) with all_1301_1, all_1409_0,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (245), (281) gives:
% 276.52/42.06 | (659) all_1409_0 = all_1301_1
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (117) with all_1269_1, all_1409_0,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (226), (281) gives:
% 276.52/42.06 | (660) all_1409_0 = all_1269_1
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (117) with all_1222_0, all_1409_0,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (216), (281) gives:
% 276.52/42.06 | (661) all_1409_0 = all_1222_0
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (117) with all_1120_0, all_1536_1,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (192), (343) gives:
% 276.52/42.06 | (662) all_1536_1 = all_1120_0
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (117) with all_1059_0, all_1536_1,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (176), (343) gives:
% 276.52/42.06 | (663) all_1536_1 = all_1059_0
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (117) with all_1536_1, all_1560_0,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (343), (364) gives:
% 276.52/42.06 | (664) all_1560_0 = all_1536_1
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (117) with all_1126_0, all_1571_0,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (194), (374) gives:
% 276.52/42.06 | (665) all_1571_0 = all_1126_0
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (117) with all_1327_0, all_1576_1,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (254), (376) gives:
% 276.52/42.06 | (666) all_1576_1 = all_1327_0
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (117) with all_1301_1, all_1576_1,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (245), (376) gives:
% 276.52/42.06 | (667) all_1576_1 = all_1301_1
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (117) with all_1245_1, all_1576_1,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (221), (376) gives:
% 276.52/42.06 | (668) all_1576_1 = all_1245_1
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (117) with all_1571_0, all_1579_11,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (374), (383) gives:
% 276.52/42.06 | (669) all_1579_11 = all_1571_0
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (117) with all_1059_0, all_1590_0,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (176), (389) gives:
% 276.52/42.06 | (670) all_1590_0 = all_1059_0
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (117) with all_1536_1, all_1623_1,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (343), (430) gives:
% 276.52/42.06 | (671) all_1623_1 = all_1536_1
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (117) with all_910_0, all_1623_1, tc_RealDef_Oreal,
% 276.52/42.06 | simplifying with (142), (430) gives:
% 276.52/42.06 | (672) all_1623_1 = all_910_0
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (117) with all_1590_0, all_1625_1,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (389), (436) gives:
% 276.52/42.06 | (673) all_1625_1 = all_1590_0
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (117) with all_986_0, all_1625_1, tc_RealDef_Oreal,
% 276.52/42.06 | simplifying with (160), (436) gives:
% 276.52/42.06 | (674) all_1625_1 = all_986_0
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (117) with all_1560_0, all_1628_23,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (364), (451) gives:
% 276.52/42.06 | (675) all_1628_23 = all_1560_0
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (117) with all_992_0, all_1628_23,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (162), (451) gives:
% 276.52/42.06 | (676) all_1628_23 = all_992_0
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (117) with all_1590_0, all_1636_8,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (389), (470) gives:
% 276.52/42.06 | (677) all_1636_8 = all_1590_0
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (117) with all_1406_0, all_1636_8,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (279), (470) gives:
% 276.52/42.06 | (678) all_1636_8 = all_1406_0
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (117) with all_1579_11, all_1641_9,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (383), (492) gives:
% 276.52/42.06 | (679) all_1641_9 = all_1579_11
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (117) with all_924_0, all_1641_9, tc_RealDef_Oreal,
% 276.52/42.06 | simplifying with (147), (492) gives:
% 276.52/42.06 | (680) all_1641_9 = all_924_0
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (117) with all_1623_1, all_1643_10,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (430), (510) gives:
% 276.52/42.06 | (681) all_1643_10 = all_1623_1
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (117) with all_978_3, all_1643_10,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (155), (510) gives:
% 276.52/42.06 | (682) all_1643_10 = all_978_3
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (117) with all_1114_0, all_1651_5,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (189), (602) gives:
% 276.52/42.06 | (683) all_1651_5 = all_1114_0
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (117) with all_1105_0, all_1651_5,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (184), (602) gives:
% 276.52/42.06 | (684) all_1651_5 = all_1105_0
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (117) with all_1000_0, all_1651_5,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (170), (602) gives:
% 276.52/42.06 | (685) all_1651_5 = all_1000_0
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (122) with all_1177_4, all_1628_15, v_t____,
% 276.52/42.06 | tc_Complex_Ocomplex, simplifying with (211), (452) gives:
% 276.52/42.06 | (686) all_1628_15 = all_1177_4
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (122) with all_1628_15, all_1641_23, v_t____,
% 276.52/42.06 | tc_Complex_Ocomplex, simplifying with (452), (493) gives:
% 276.52/42.06 | (687) all_1641_23 = all_1628_15
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (122) with all_1621_14, all_1641_23, v_t____,
% 276.52/42.06 | tc_Complex_Ocomplex, simplifying with (410), (493) gives:
% 276.52/42.06 | (688) all_1641_23 = all_1621_14
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (122) with all_1641_23, all_1643_24, v_t____,
% 276.52/42.06 | tc_Complex_Ocomplex, simplifying with (493), (511) gives:
% 276.52/42.06 | (689) all_1643_24 = all_1641_23
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (122) with all_1643_24, all_1645_24, v_t____,
% 276.52/42.06 | tc_Complex_Ocomplex, simplifying with (511), (527) gives:
% 276.52/42.06 | (690) all_1645_24 = all_1643_24
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (122) with all_1645_24, all_1647_26, v_t____,
% 276.52/42.06 | tc_Complex_Ocomplex, simplifying with (527), (554) gives:
% 276.52/42.06 | (691) all_1647_26 = all_1645_24
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (122) with all_1647_26, all_1649_26, v_t____,
% 276.52/42.06 | tc_Complex_Ocomplex, simplifying with (554), (581) gives:
% 276.52/42.06 | (692) all_1649_26 = all_1647_26
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (122) with all_1649_26, all_1651_26, v_t____,
% 276.52/42.06 | tc_Complex_Ocomplex, simplifying with (581), (603) gives:
% 276.52/42.06 | (693) all_1651_26 = all_1649_26
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (122) with all_1636_21, all_1651_26, v_t____,
% 276.52/42.06 | tc_Complex_Ocomplex, simplifying with (471), (603) gives:
% 276.52/42.06 | (694) all_1651_26 = all_1636_21
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1284_5, all_1386_5,
% 276.52/42.06 | tc_Complex_Ocomplex, simplifying with (230), (268) gives:
% 276.52/42.06 | (695) all_1386_5 = all_1284_5
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1386_5, all_1427_6,
% 276.52/42.06 | tc_Complex_Ocomplex, simplifying with (268), (287) gives:
% 276.52/42.06 | (696) all_1427_6 = all_1386_5
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1427_6, all_1483_7,
% 276.52/42.06 | tc_Complex_Ocomplex, simplifying with (287), (308) gives:
% 276.52/42.06 | (697) all_1483_7 = all_1427_6
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1483_7, all_1590_1,
% 276.52/42.06 | tc_Complex_Ocomplex, simplifying with (308), (390) gives:
% 276.52/42.06 | (698) all_1590_1 = all_1483_7
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1590_1, all_1604_2,
% 276.52/42.06 | tc_Complex_Ocomplex, simplifying with (390), (393) gives:
% 276.52/42.06 | (699) all_1604_2 = all_1590_1
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1628_16, all_1636_22,
% 276.52/42.06 | tc_Complex_Ocomplex, simplifying with (453), (472) gives:
% 276.52/42.06 | (700) all_1636_22 = all_1628_16
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1636_22, all_1638_7,
% 276.52/42.06 | tc_Complex_Ocomplex, simplifying with (472), (477) gives:
% 276.52/42.06 | (701) all_1638_7 = all_1636_22
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1638_7, all_1641_24,
% 276.52/42.06 | tc_Complex_Ocomplex, simplifying with (477), (494) gives:
% 276.52/42.06 | (702) all_1641_24 = all_1638_7
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1641_24, all_1643_25,
% 276.52/42.06 | tc_Complex_Ocomplex, simplifying with (494), (512) gives:
% 276.52/42.06 | (703) all_1643_25 = all_1641_24
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1643_25, all_1645_25,
% 276.52/42.06 | tc_Complex_Ocomplex, simplifying with (512), (528) gives:
% 276.52/42.06 | (704) all_1645_25 = all_1643_25
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1628_16, all_1647_27,
% 276.52/42.06 | tc_Complex_Ocomplex, simplifying with (453), (555) gives:
% 276.52/42.06 | (705) all_1647_27 = all_1628_16
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1621_15, all_1647_27,
% 276.52/42.06 | tc_Complex_Ocomplex, simplifying with (411), (555) gives:
% 276.52/42.06 | (706) all_1647_27 = all_1621_15
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1604_2, all_1647_27,
% 276.52/42.06 | tc_Complex_Ocomplex, simplifying with (393), (555) gives:
% 276.52/42.06 | (707) all_1647_27 = all_1604_2
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1645_25, all_1649_27,
% 276.52/42.06 | tc_Complex_Ocomplex, simplifying with (528), (582) gives:
% 276.52/42.06 | (708) all_1649_27 = all_1645_25
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1649_27, all_1651_27,
% 276.52/42.06 | tc_Complex_Ocomplex, simplifying with (582), (604) gives:
% 276.52/42.06 | (709) all_1651_27 = all_1649_27
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1304_1, all_1651_27,
% 276.52/42.06 | tc_Complex_Ocomplex, simplifying with (247), (604) gives:
% 276.52/42.06 | (710) all_1651_27 = all_1304_1
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1304_0, all_1315_0,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (248), (250) gives:
% 276.52/42.06 | (711) all_1315_0 = all_1304_0
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1315_0, all_1397_0,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (250), (275) gives:
% 276.52/42.06 | (712) all_1397_0 = all_1315_0
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1397_0, all_1400_0,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (275), (277) gives:
% 276.52/42.06 | (713) all_1400_0 = all_1397_0
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1400_0, all_1424_0,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (277), (285) gives:
% 276.52/42.06 | (714) all_1424_0 = all_1400_0
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1424_0, all_1455_1,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (285), (300) gives:
% 276.52/42.06 | (715) all_1455_1 = all_1424_0
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1455_1, all_1505_8,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (300), (324) gives:
% 276.52/42.06 | (716) all_1505_8 = all_1455_1
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1505_8, all_1534_8,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (324), (338) gives:
% 276.52/42.06 | (717) all_1534_8 = all_1505_8
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1534_8, all_1536_0,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (338), (344) gives:
% 276.52/42.06 | (718) all_1536_0 = all_1534_8
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1304_0, all_1560_9,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (248), (365) gives:
% 276.52/42.06 | (719) all_1560_9 = all_1304_0
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1536_0, all_1579_9,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (344), (384) gives:
% 276.52/42.06 | (720) all_1579_9 = all_1536_0
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1579_9, all_1621_2,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (384), (412) gives:
% 276.52/42.06 | (721) all_1621_2 = all_1579_9
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1621_2, all_1623_15,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (412), (431) gives:
% 276.52/42.06 | (722) all_1623_15 = all_1621_2
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1623_15, all_1628_22,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (431), (454) gives:
% 276.52/42.06 | (723) all_1628_22 = all_1623_15
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1560_9, all_1641_8,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (365), (495) gives:
% 276.52/42.06 | (724) all_1641_8 = all_1560_9
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1641_8, all_1647_13,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (495), (556) gives:
% 276.52/42.06 | (725) all_1647_13 = all_1641_8
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_995_2, all_1647_13,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (166), (556) gives:
% 276.52/42.06 | (726) all_1647_13 = all_995_2
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1643_9, all_1649_13,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (513), (583) gives:
% 276.52/42.06 | (727) all_1649_13 = all_1643_9
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1636_7, all_1649_13,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (473), (583) gives:
% 276.52/42.06 | (728) all_1649_13 = all_1636_7
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1628_22, all_1649_13,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (454), (583) gives:
% 276.52/42.06 | (729) all_1649_13 = all_1628_22
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1643_9, all_1651_4,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (513), (605) gives:
% 276.52/42.06 | (730) all_1651_4 = all_1643_9
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (118) with all_1295_1, all_1651_4,
% 276.52/42.06 | tc_RealDef_Oreal, simplifying with (240), (605) gives:
% 276.52/42.06 | (731) all_1651_4 = all_1295_1
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (123) with all_1356_2, all_1505_7, v_w____,
% 276.52/42.06 | tc_Complex_Ocomplex, simplifying with (262), (325) gives:
% 276.52/42.06 | (732) all_1505_7 = all_1356_2
% 276.52/42.06 |
% 276.52/42.06 | GROUND_INST: instantiating (123) with all_1505_7, all_1534_7, v_w____,
% 276.52/42.06 | tc_Complex_Ocomplex, simplifying with (325), (339) gives:
% 276.52/42.07 | (733) all_1534_7 = all_1505_7
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (123) with all_1534_7, all_1560_8, v_w____,
% 276.52/42.07 | tc_Complex_Ocomplex, simplifying with (339), (366) gives:
% 276.52/42.07 | (734) all_1560_8 = all_1534_7
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (123) with all_1560_8, all_1579_8, v_w____,
% 276.52/42.07 | tc_Complex_Ocomplex, simplifying with (366), (385) gives:
% 276.52/42.07 | (735) all_1579_8 = all_1560_8
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (123) with all_1579_8, all_1623_10, v_w____,
% 276.52/42.07 | tc_Complex_Ocomplex, simplifying with (385), (432) gives:
% 276.52/42.07 | (736) all_1623_10 = all_1579_8
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (123) with all_1356_2, all_1647_8, v_w____,
% 276.52/42.07 | tc_Complex_Ocomplex, simplifying with (262), (557) gives:
% 276.52/42.07 | (737) all_1647_8 = all_1356_2
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (123) with all_1353_2, all_1647_8, v_w____,
% 276.52/42.07 | tc_Complex_Ocomplex, simplifying with (260), (557) gives:
% 276.52/42.07 | (738) all_1647_8 = all_1353_2
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (123) with all_1164_1, all_1647_8, v_w____,
% 276.52/42.07 | tc_Complex_Ocomplex, simplifying with (202), (557) gives:
% 276.52/42.07 | (739) all_1647_8 = all_1164_1
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (123) with all_1623_10, all_1649_8, v_w____,
% 276.52/42.07 | tc_Complex_Ocomplex, simplifying with (432), (584) gives:
% 276.52/42.07 | (740) all_1649_8 = all_1623_10
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (123) with all_1291_4, all_1649_8, v_w____,
% 276.52/42.07 | tc_Complex_Ocomplex, simplifying with (237), (584) gives:
% 276.52/42.07 | (741) all_1649_8 = all_1291_4
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1386_6, all_1461_5,
% 276.52/42.07 | tc_Complex_Ocomplex, simplifying with (269), (302) gives:
% 276.52/42.07 | (742) all_1461_5 = all_1386_6
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1284_6, all_1461_5,
% 276.52/42.07 | tc_Complex_Ocomplex, simplifying with (231), (302) gives:
% 276.52/42.07 | (743) all_1461_5 = all_1284_6
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1590_2, all_1604_3,
% 276.52/42.07 | tc_Complex_Ocomplex, simplifying with (391), (394) gives:
% 276.52/42.07 | (744) all_1604_3 = all_1590_2
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1604_3, all_1636_23,
% 276.52/42.07 | tc_Complex_Ocomplex, simplifying with (394), (474) gives:
% 276.52/42.07 | (745) all_1636_23 = all_1604_3
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1018_1, all_1636_23,
% 276.52/42.07 | tc_Complex_Ocomplex, simplifying with (172), (474) gives:
% 276.52/42.07 | (746) all_1636_23 = all_1018_1
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1628_17, all_1638_8,
% 276.52/42.07 | tc_Complex_Ocomplex, simplifying with (456), (478) gives:
% 276.52/42.07 | (747) all_1638_8 = all_1628_17
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1628_17, all_1641_25,
% 276.52/42.07 | tc_Complex_Ocomplex, simplifying with (456), (496) gives:
% 276.52/42.07 | (748) all_1641_25 = all_1628_17
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1461_5, all_1641_25,
% 276.52/42.07 | tc_Complex_Ocomplex, simplifying with (302), (496) gives:
% 276.52/42.07 | (749) all_1641_25 = all_1461_5
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1590_2, all_1643_26,
% 276.52/42.07 | tc_Complex_Ocomplex, simplifying with (391), (515) gives:
% 276.52/42.07 | (750) all_1643_26 = all_1590_2
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1483_8, all_1643_26,
% 276.52/42.07 | tc_Complex_Ocomplex, simplifying with (309), (515) gives:
% 276.52/42.07 | (751) all_1643_26 = all_1483_8
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1386_6, all_1643_26,
% 276.52/42.07 | tc_Complex_Ocomplex, simplifying with (269), (515) gives:
% 276.52/42.07 | (752) all_1643_26 = all_1386_6
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1641_25, all_1647_28,
% 276.52/42.07 | tc_Complex_Ocomplex, simplifying with (496), (559) gives:
% 276.52/42.07 | (753) all_1647_28 = all_1641_25
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1427_7, all_1647_28,
% 276.52/42.07 | tc_Complex_Ocomplex, simplifying with (288), (559) gives:
% 276.52/42.07 | (754) all_1647_28 = all_1427_7
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1628_17, all_1649_28,
% 276.52/42.07 | tc_Complex_Ocomplex, simplifying with (456), (586) gives:
% 276.52/42.07 | (755) all_1649_28 = all_1628_17
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1621_16, all_1649_28,
% 276.52/42.07 | tc_Complex_Ocomplex, simplifying with (414), (586) gives:
% 276.52/42.07 | (756) all_1649_28 = all_1621_16
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1177_5, all_1649_28,
% 276.52/42.07 | tc_Complex_Ocomplex, simplifying with (212), (586) gives:
% 276.52/42.07 | (757) all_1649_28 = all_1177_5
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1645_26, all_1651_28,
% 276.52/42.07 | tc_Complex_Ocomplex, simplifying with (529), (606) gives:
% 276.52/42.07 | (758) all_1651_28 = all_1645_26
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1638_8, all_1651_28,
% 276.52/42.07 | tc_Complex_Ocomplex, simplifying with (478), (606) gives:
% 276.52/42.07 | (759) all_1651_28 = all_1638_8
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1502_5, all_1651_28,
% 276.52/42.07 | tc_Complex_Ocomplex, simplifying with (317), (606) gives:
% 276.52/42.07 | (760) all_1651_28 = all_1502_5
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1045_0, all_1102_0,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (174), (182) gives:
% 276.52/42.07 | (761) all_1102_0 = all_1045_0
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_983_2, all_1102_0, tc_RealDef_Oreal,
% 276.52/42.07 | simplifying with (158), (182) gives:
% 276.52/42.07 | (762) all_1102_0 = all_983_2
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1102_0, all_1111_0,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (182), (186) gives:
% 276.52/42.07 | (763) all_1111_0 = all_1102_0
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1213_0, all_1231_0,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (214), (218) gives:
% 276.52/42.07 | (764) all_1231_0 = all_1213_0
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1231_0, all_1248_0,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (218), (223) gives:
% 276.52/42.07 | (765) all_1248_0 = all_1231_0
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1248_0, all_1275_0,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (223), (228) gives:
% 276.52/42.07 | (766) all_1275_0 = all_1248_0
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1298_0, all_1321_0,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (242), (252) gives:
% 276.52/42.07 | (767) all_1321_0 = all_1298_0
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1321_0, all_1344_0,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (252), (258) gives:
% 276.52/42.07 | (768) all_1344_0 = all_1321_0
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1213_0, all_1412_0,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (214), (283) gives:
% 276.52/42.07 | (769) all_1412_0 = all_1213_0
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1298_0, all_1474_0,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (242), (304) gives:
% 276.52/42.07 | (770) all_1474_0 = all_1298_0
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1291_6, all_1474_0,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (238), (304) gives:
% 276.52/42.07 | (771) all_1474_0 = all_1291_6
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1275_0, all_1474_0,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (228), (304) gives:
% 276.52/42.07 | (772) all_1474_0 = all_1275_0
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1480_0, all_1485_0,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (306), (311) gives:
% 276.52/42.07 | (773) all_1485_0 = all_1480_0
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1452_0, all_1485_0,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (298), (311) gives:
% 276.52/42.07 | (774) all_1485_0 = all_1452_0
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1480_0, all_1496_0,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (306), (315) gives:
% 276.52/42.07 | (775) all_1496_0 = all_1480_0
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1496_0, all_1505_9,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (315), (326) gives:
% 276.52/42.07 | (776) all_1505_9 = all_1496_0
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1536_2, all_1539_0,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (345), (347) gives:
% 276.52/42.07 | (777) all_1539_0 = all_1536_2
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1474_0, all_1539_0,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (304), (347) gives:
% 276.52/42.07 | (778) all_1539_0 = all_1474_0
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1429_0, all_1539_0,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (290), (347) gives:
% 276.52/42.07 | (779) all_1539_0 = all_1429_0
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1534_9, all_1542_1,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (340), (349) gives:
% 276.52/42.07 | (780) all_1542_1 = all_1534_9
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1344_0, all_1551_0,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (258), (353) gives:
% 276.52/42.07 | (781) all_1551_0 = all_1344_0
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1542_1, all_1554_0,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (349), (355) gives:
% 276.52/42.07 | (782) all_1554_0 = all_1542_1
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1551_0, all_1560_11,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (353), (367) gives:
% 276.52/42.07 | (783) all_1560_11 = all_1551_0
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1362_0, all_1560_11,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (264), (367) gives:
% 276.52/42.07 | (784) all_1560_11 = all_1362_0
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1554_0, all_1565_0,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (355), (370) gives:
% 276.52/42.07 | (785) all_1565_0 = all_1554_0
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1074_0, all_1565_0,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (180), (370) gives:
% 276.52/42.07 | (786) all_1565_0 = all_1074_0
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1485_0, all_1568_0,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (311), (372) gives:
% 276.52/42.07 | (787) all_1568_0 = all_1485_0
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1441_0, all_1568_0,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (294), (372) gives:
% 276.52/42.07 | (788) all_1568_0 = all_1441_0
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1412_0, all_1579_10,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (283), (386) gives:
% 276.52/42.07 | (789) all_1579_10 = all_1412_0
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1126_1, all_1579_10,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (195), (386) gives:
% 276.52/42.07 | (790) all_1579_10 = all_1126_1
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1111_0, all_1579_10,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (186), (386) gives:
% 276.52/42.07 | (791) all_1579_10 = all_1111_0
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1534_9, all_1623_16,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (340), (433) gives:
% 276.52/42.07 | (792) all_1623_16 = all_1534_9
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1513_0, all_1623_16,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (331), (433) gives:
% 276.52/42.07 | (793) all_1623_16 = all_1513_0
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1505_9, all_1623_16,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (326), (433) gives:
% 276.52/42.07 | (794) all_1623_16 = all_1505_9
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1551_0, all_1647_14,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (353), (560) gives:
% 276.52/42.07 | (795) all_1647_14 = all_1551_0
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1485_0, all_1647_14,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (311), (560) gives:
% 276.52/42.07 | (796) all_1647_14 = all_1485_0
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1374_0, all_1647_14,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (266), (560) gives:
% 276.52/42.07 | (797) all_1647_14 = all_1374_0
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1412_0, all_1649_14,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (283), (587) gives:
% 276.52/42.07 | (798) all_1649_14 = all_1412_0
% 276.52/42.07 |
% 276.52/42.07 | GROUND_INST: instantiating (119) with all_1138_0, all_1649_14,
% 276.52/42.07 | tc_RealDef_Oreal, simplifying with (197), (587) gives:
% 276.52/42.07 | (799) all_1649_14 = all_1138_0
% 276.52/42.07 |
% 276.52/42.07 | COMBINE_EQS: (730), (731) imply:
% 276.52/42.07 | (800) all_1643_9 = all_1295_1
% 276.52/42.07 |
% 276.52/42.07 | SIMP: (800) implies:
% 276.52/42.07 | (801) all_1643_9 = all_1295_1
% 276.52/42.07 |
% 276.52/42.07 | COMBINE_EQS: (683), (684) imply:
% 276.52/42.07 | (802) all_1114_0 = all_1105_0
% 276.52/42.07 |
% 276.52/42.07 | SIMP: (802) implies:
% 276.52/42.07 | (803) all_1114_0 = all_1105_0
% 276.52/42.07 |
% 276.52/42.07 | COMBINE_EQS: (684), (685) imply:
% 276.52/42.07 | (804) all_1105_0 = all_1000_0
% 276.52/42.07 |
% 276.52/42.07 | COMBINE_EQS: (614), (615) imply:
% 276.52/42.07 | (805) all_1649_18 = all_1164_0
% 276.52/42.07 |
% 276.52/42.07 | SIMP: (805) implies:
% 276.52/42.07 | (806) all_1649_18 = all_1164_0
% 276.52/42.07 |
% 276.52/42.07 | COMBINE_EQS: (693), (694) imply:
% 276.52/42.07 | (807) all_1649_26 = all_1636_21
% 276.52/42.07 |
% 276.52/42.07 | SIMP: (807) implies:
% 276.52/42.07 | (808) all_1649_26 = all_1636_21
% 276.52/42.07 |
% 276.52/42.07 | COMBINE_EQS: (709), (710) imply:
% 276.52/42.07 | (809) all_1649_27 = all_1304_1
% 276.52/42.07 |
% 276.52/42.07 | SIMP: (809) implies:
% 276.52/42.07 | (810) all_1649_27 = all_1304_1
% 276.52/42.07 |
% 276.52/42.07 | COMBINE_EQS: (758), (760) imply:
% 276.52/42.07 | (811) all_1645_26 = all_1502_5
% 276.52/42.07 |
% 276.52/42.07 | COMBINE_EQS: (758), (759) imply:
% 276.52/42.07 | (812) all_1645_26 = all_1638_8
% 276.52/42.07 |
% 276.52/42.07 | COMBINE_EQS: (646), (647) imply:
% 276.52/42.07 | (813) all_1638_16 = all_997_1
% 276.52/42.07 |
% 276.52/42.07 | SIMP: (813) implies:
% 276.52/42.07 | (814) all_1638_16 = all_997_1
% 276.52/42.07 |
% 276.52/42.07 | COMBINE_EQS: (740), (741) imply:
% 276.52/42.07 | (815) all_1623_10 = all_1291_4
% 276.52/42.07 |
% 276.52/42.07 | SIMP: (815) implies:
% 276.52/42.07 | (816) all_1623_10 = all_1291_4
% 276.52/42.07 |
% 276.52/42.07 | COMBINE_EQS: (727), (728) imply:
% 276.52/42.07 | (817) all_1643_9 = all_1636_7
% 276.52/42.07 |
% 276.52/42.07 | SIMP: (817) implies:
% 276.52/42.07 | (818) all_1643_9 = all_1636_7
% 276.52/42.07 |
% 276.52/42.07 | COMBINE_EQS: (728), (729) imply:
% 276.52/42.07 | (819) all_1636_7 = all_1628_22
% 276.52/42.07 |
% 276.52/42.07 | COMBINE_EQS: (798), (799) imply:
% 276.52/42.07 | (820) all_1412_0 = all_1138_0
% 276.52/42.07 |
% 276.52/42.07 | SIMP: (820) implies:
% 276.52/42.07 | (821) all_1412_0 = all_1138_0
% 276.52/42.07 |
% 276.52/42.07 | COMBINE_EQS: (613), (806) imply:
% 276.52/42.07 | (822) all_1647_18 = all_1164_0
% 276.52/42.07 |
% 276.52/42.07 | SIMP: (822) implies:
% 276.52/42.07 | (823) all_1647_18 = all_1164_0
% 276.52/42.07 |
% 276.52/42.07 | COMBINE_EQS: (692), (808) imply:
% 276.52/42.07 | (824) all_1647_26 = all_1636_21
% 276.52/42.07 |
% 276.52/42.07 | SIMP: (824) implies:
% 276.52/42.07 | (825) all_1647_26 = all_1636_21
% 276.52/42.07 |
% 276.52/42.07 | COMBINE_EQS: (708), (810) imply:
% 276.52/42.07 | (826) all_1645_25 = all_1304_1
% 276.52/42.07 |
% 276.52/42.07 | SIMP: (826) implies:
% 276.52/42.07 | (827) all_1645_25 = all_1304_1
% 276.52/42.07 |
% 276.52/42.07 | COMBINE_EQS: (755), (756) imply:
% 276.52/42.07 | (828) all_1628_17 = all_1621_16
% 276.52/42.07 |
% 276.52/42.07 | SIMP: (828) implies:
% 276.52/42.07 | (829) all_1628_17 = all_1621_16
% 276.52/42.07 |
% 276.52/42.07 | COMBINE_EQS: (756), (757) imply:
% 276.52/42.07 | (830) all_1621_16 = all_1177_5
% 276.52/42.07 |
% 276.52/42.07 | COMBINE_EQS: (644), (645) imply:
% 276.52/42.07 | (831) all_1560_6 = all_1245_0
% 276.52/42.07 |
% 276.52/42.07 | SIMP: (831) implies:
% 276.52/42.08 | (832) all_1560_6 = all_1245_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (737), (738) imply:
% 276.52/42.08 | (833) all_1356_2 = all_1353_2
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (833) implies:
% 276.52/42.08 | (834) all_1356_2 = all_1353_2
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (738), (739) imply:
% 276.52/42.08 | (835) all_1353_2 = all_1164_1
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (725), (726) imply:
% 276.52/42.08 | (836) all_1641_8 = all_995_2
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (836) implies:
% 276.52/42.08 | (837) all_1641_8 = all_995_2
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (795), (797) imply:
% 276.52/42.08 | (838) all_1551_0 = all_1374_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (838) implies:
% 276.52/42.08 | (839) all_1551_0 = all_1374_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (796), (797) imply:
% 276.52/42.08 | (840) all_1485_0 = all_1374_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (840) implies:
% 276.52/42.08 | (841) all_1485_0 = all_1374_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (612), (823) imply:
% 276.52/42.08 | (842) all_1645_17 = all_1164_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (842) implies:
% 276.52/42.08 | (843) all_1645_17 = all_1164_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (691), (825) imply:
% 276.52/42.08 | (844) all_1645_24 = all_1636_21
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (844) implies:
% 276.52/42.08 | (845) all_1645_24 = all_1636_21
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (706), (707) imply:
% 276.52/42.08 | (846) all_1621_15 = all_1604_2
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (705), (706) imply:
% 276.52/42.08 | (847) all_1628_16 = all_1621_15
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (847) implies:
% 276.52/42.08 | (848) all_1628_16 = all_1621_15
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (753), (754) imply:
% 276.52/42.08 | (849) all_1641_25 = all_1427_7
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (849) implies:
% 276.52/42.08 | (850) all_1641_25 = all_1427_7
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (611), (843) imply:
% 276.52/42.08 | (851) all_1643_17 = all_1164_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (851) implies:
% 276.52/42.08 | (852) all_1643_17 = all_1164_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (690), (845) imply:
% 276.52/42.08 | (853) all_1643_24 = all_1636_21
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (853) implies:
% 276.52/42.08 | (854) all_1643_24 = all_1636_21
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (704), (827) imply:
% 276.52/42.08 | (855) all_1643_25 = all_1304_1
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (855) implies:
% 276.52/42.08 | (856) all_1643_25 = all_1304_1
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (811), (812) imply:
% 276.52/42.08 | (857) all_1638_8 = all_1502_5
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (857) implies:
% 276.52/42.08 | (858) all_1638_8 = all_1502_5
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (801), (818) imply:
% 276.52/42.08 | (859) all_1636_7 = all_1295_1
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (859) implies:
% 276.52/42.08 | (860) all_1636_7 = all_1295_1
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (681), (682) imply:
% 276.52/42.08 | (861) all_1623_1 = all_978_3
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (861) implies:
% 276.52/42.08 | (862) all_1623_1 = all_978_3
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (610), (852) imply:
% 276.52/42.08 | (863) all_1641_16 = all_1164_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (863) implies:
% 276.52/42.08 | (864) all_1641_16 = all_1164_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (689), (854) imply:
% 276.52/42.08 | (865) all_1641_23 = all_1636_21
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (865) implies:
% 276.52/42.08 | (866) all_1641_23 = all_1636_21
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (703), (856) imply:
% 276.52/42.08 | (867) all_1641_24 = all_1304_1
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (867) implies:
% 276.52/42.08 | (868) all_1641_24 = all_1304_1
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (750), (751) imply:
% 276.52/42.08 | (869) all_1590_2 = all_1483_8
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (869) implies:
% 276.52/42.08 | (870) all_1590_2 = all_1483_8
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (751), (752) imply:
% 276.52/42.08 | (871) all_1483_8 = all_1386_6
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (724), (837) imply:
% 276.52/42.08 | (872) all_1560_9 = all_995_2
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (872) implies:
% 276.52/42.08 | (873) all_1560_9 = all_995_2
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (679), (680) imply:
% 276.52/42.08 | (874) all_1579_11 = all_924_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (874) implies:
% 276.52/42.08 | (875) all_1579_11 = all_924_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (609), (864) imply:
% 276.52/42.08 | (876) all_1636_14 = all_1164_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (876) implies:
% 276.52/42.08 | (877) all_1636_14 = all_1164_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (687), (866) imply:
% 276.52/42.08 | (878) all_1636_21 = all_1628_15
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (688), (866) imply:
% 276.52/42.08 | (879) all_1636_21 = all_1621_14
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (702), (868) imply:
% 276.52/42.08 | (880) all_1638_7 = all_1304_1
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (880) implies:
% 276.52/42.08 | (881) all_1638_7 = all_1304_1
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (749), (850) imply:
% 276.52/42.08 | (882) all_1461_5 = all_1427_7
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (882) implies:
% 276.52/42.08 | (883) all_1461_5 = all_1427_7
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (748), (850) imply:
% 276.52/42.08 | (884) all_1628_17 = all_1427_7
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (884) implies:
% 276.52/42.08 | (885) all_1628_17 = all_1427_7
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (701), (881) imply:
% 276.52/42.08 | (886) all_1636_22 = all_1304_1
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (886) implies:
% 276.52/42.08 | (887) all_1636_22 = all_1304_1
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (747), (858) imply:
% 276.52/42.08 | (888) all_1628_17 = all_1502_5
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (888) implies:
% 276.52/42.08 | (889) all_1628_17 = all_1502_5
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (643), (814) imply:
% 276.52/42.08 | (890) all_1579_6 = all_997_1
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (890) implies:
% 276.52/42.08 | (891) all_1579_6 = all_997_1
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (819), (860) imply:
% 276.52/42.08 | (892) all_1628_22 = all_1295_1
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (892) implies:
% 276.52/42.08 | (893) all_1628_22 = all_1295_1
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (677), (678) imply:
% 276.52/42.08 | (894) all_1590_0 = all_1406_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (894) implies:
% 276.52/42.08 | (895) all_1590_0 = all_1406_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (608), (877) imply:
% 276.52/42.08 | (896) all_1628_7 = all_1164_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (896) implies:
% 276.52/42.08 | (897) all_1628_7 = all_1164_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (878), (879) imply:
% 276.52/42.08 | (898) all_1628_15 = all_1621_14
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (898) implies:
% 276.52/42.08 | (899) all_1628_15 = all_1621_14
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (700), (887) imply:
% 276.52/42.08 | (900) all_1628_16 = all_1304_1
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (900) implies:
% 276.52/42.08 | (901) all_1628_16 = all_1304_1
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (745), (746) imply:
% 276.52/42.08 | (902) all_1604_3 = all_1018_1
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (902) implies:
% 276.52/42.08 | (903) all_1604_3 = all_1018_1
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (607), (897) imply:
% 276.52/42.08 | (904) all_1621_6 = all_1164_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (904) implies:
% 276.52/42.08 | (905) all_1621_6 = all_1164_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (686), (899) imply:
% 276.52/42.08 | (906) all_1621_14 = all_1177_4
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (848), (901) imply:
% 276.52/42.08 | (907) all_1621_15 = all_1304_1
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (907) implies:
% 276.52/42.08 | (908) all_1621_15 = all_1304_1
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (829), (889) imply:
% 276.52/42.08 | (909) all_1621_16 = all_1502_5
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (909) implies:
% 276.52/42.08 | (910) all_1621_16 = all_1502_5
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (885), (889) imply:
% 276.52/42.08 | (911) all_1502_5 = all_1427_7
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (723), (893) imply:
% 276.52/42.08 | (912) all_1623_15 = all_1295_1
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (912) implies:
% 276.52/42.08 | (913) all_1623_15 = all_1295_1
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (675), (676) imply:
% 276.52/42.08 | (914) all_1560_0 = all_992_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (914) implies:
% 276.52/42.08 | (915) all_1560_0 = all_992_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (673), (674) imply:
% 276.52/42.08 | (916) all_1590_0 = all_986_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (916) implies:
% 276.52/42.08 | (917) all_1590_0 = all_986_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (672), (862) imply:
% 276.52/42.08 | (918) all_978_3 = all_910_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (671), (862) imply:
% 276.52/42.08 | (919) all_1536_1 = all_978_3
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (919) implies:
% 276.52/42.08 | (920) all_1536_1 = all_978_3
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (641), (642) imply:
% 276.52/42.08 | (921) all_1450_6 = all_957_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (921) implies:
% 276.52/42.08 | (922) all_1450_6 = all_957_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (736), (816) imply:
% 276.52/42.08 | (923) all_1579_8 = all_1291_4
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (923) implies:
% 276.52/42.08 | (924) all_1579_8 = all_1291_4
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (722), (913) imply:
% 276.52/42.08 | (925) all_1621_2 = all_1295_1
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (925) implies:
% 276.52/42.08 | (926) all_1621_2 = all_1295_1
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (792), (793) imply:
% 276.52/42.08 | (927) all_1534_9 = all_1513_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (927) implies:
% 276.52/42.08 | (928) all_1534_9 = all_1513_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (793), (794) imply:
% 276.52/42.08 | (929) all_1513_0 = all_1505_9
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (721), (926) imply:
% 276.52/42.08 | (930) all_1579_9 = all_1295_1
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (930) implies:
% 276.52/42.08 | (931) all_1579_9 = all_1295_1
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (846), (908) imply:
% 276.52/42.08 | (932) all_1604_2 = all_1304_1
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (932) implies:
% 276.52/42.08 | (933) all_1604_2 = all_1304_1
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (830), (910) imply:
% 276.52/42.08 | (934) all_1502_5 = all_1177_5
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (934) implies:
% 276.52/42.08 | (935) all_1502_5 = all_1177_5
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (699), (933) imply:
% 276.52/42.08 | (936) all_1590_1 = all_1304_1
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (936) implies:
% 276.52/42.08 | (937) all_1590_1 = all_1304_1
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (744), (903) imply:
% 276.52/42.08 | (938) all_1590_2 = all_1018_1
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (938) implies:
% 276.52/42.08 | (939) all_1590_2 = all_1018_1
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (670), (895) imply:
% 276.52/42.08 | (940) all_1406_0 = all_1059_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (895), (917) imply:
% 276.52/42.08 | (941) all_1406_0 = all_986_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (698), (937) imply:
% 276.52/42.08 | (942) all_1483_7 = all_1304_1
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (942) implies:
% 276.52/42.08 | (943) all_1483_7 = all_1304_1
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (870), (939) imply:
% 276.52/42.08 | (944) all_1483_8 = all_1018_1
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (944) implies:
% 276.52/42.08 | (945) all_1483_8 = all_1018_1
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (640), (891) imply:
% 276.52/42.08 | (946) all_1548_0 = all_997_1
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (946) implies:
% 276.52/42.08 | (947) all_1548_0 = all_997_1
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (735), (924) imply:
% 276.52/42.08 | (948) all_1560_8 = all_1291_4
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (948) implies:
% 276.52/42.08 | (949) all_1560_8 = all_1291_4
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (720), (931) imply:
% 276.52/42.08 | (950) all_1536_0 = all_1295_1
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (950) implies:
% 276.52/42.08 | (951) all_1536_0 = all_1295_1
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (790), (791) imply:
% 276.52/42.08 | (952) all_1126_1 = all_1111_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (789), (790) imply:
% 276.52/42.08 | (953) all_1412_0 = all_1126_1
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (953) implies:
% 276.52/42.08 | (954) all_1412_0 = all_1126_1
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (669), (875) imply:
% 276.52/42.08 | (955) all_1571_0 = all_924_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (955) implies:
% 276.52/42.08 | (956) all_1571_0 = all_924_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (666), (668) imply:
% 276.52/42.08 | (957) all_1327_0 = all_1245_1
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (666), (667) imply:
% 276.52/42.08 | (958) all_1327_0 = all_1301_1
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (665), (956) imply:
% 276.52/42.08 | (959) all_1126_0 = all_924_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (959) implies:
% 276.52/42.08 | (960) all_1126_0 = all_924_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (787), (788) imply:
% 276.52/42.08 | (961) all_1485_0 = all_1441_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (961) implies:
% 276.52/42.08 | (962) all_1485_0 = all_1441_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (785), (786) imply:
% 276.52/42.08 | (963) all_1554_0 = all_1074_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (963) implies:
% 276.52/42.08 | (964) all_1554_0 = all_1074_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (664), (915) imply:
% 276.52/42.08 | (965) all_1536_1 = all_992_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (965) implies:
% 276.52/42.08 | (966) all_1536_1 = all_992_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (639), (832) imply:
% 276.52/42.08 | (967) all_1507_1 = all_1245_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (967) implies:
% 276.52/42.08 | (968) all_1507_1 = all_1245_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (734), (949) imply:
% 276.52/42.08 | (969) all_1534_7 = all_1291_4
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (969) implies:
% 276.52/42.08 | (970) all_1534_7 = all_1291_4
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (719), (873) imply:
% 276.52/42.08 | (971) all_1304_0 = all_995_2
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (971) implies:
% 276.52/42.08 | (972) all_1304_0 = all_995_2
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (783), (784) imply:
% 276.52/42.08 | (973) all_1551_0 = all_1362_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (973) implies:
% 276.52/42.08 | (974) all_1551_0 = all_1362_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (782), (964) imply:
% 276.52/42.08 | (975) all_1542_1 = all_1074_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (975) implies:
% 276.52/42.08 | (976) all_1542_1 = all_1074_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (781), (974) imply:
% 276.52/42.08 | (977) all_1362_0 = all_1344_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (839), (974) imply:
% 276.52/42.08 | (978) all_1374_0 = all_1362_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (978) implies:
% 276.52/42.08 | (979) all_1374_0 = all_1362_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (638), (947) imply:
% 276.52/42.08 | (980) all_1534_5 = all_997_1
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (980) implies:
% 276.52/42.08 | (981) all_1534_5 = all_997_1
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (780), (976) imply:
% 276.52/42.08 | (982) all_1534_9 = all_1074_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (982) implies:
% 276.52/42.08 | (983) all_1534_9 = all_1074_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (777), (779) imply:
% 276.52/42.08 | (984) all_1536_2 = all_1429_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (777), (778) imply:
% 276.52/42.08 | (985) all_1536_2 = all_1474_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (718), (951) imply:
% 276.52/42.08 | (986) all_1534_8 = all_1295_1
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (986) implies:
% 276.52/42.08 | (987) all_1534_8 = all_1295_1
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (663), (966) imply:
% 276.52/42.08 | (988) all_1059_0 = all_992_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (988) implies:
% 276.52/42.08 | (989) all_1059_0 = all_992_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (920), (966) imply:
% 276.52/42.08 | (990) all_992_0 = all_978_3
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (662), (966) imply:
% 276.52/42.08 | (991) all_1120_0 = all_992_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (991) implies:
% 276.52/42.08 | (992) all_1120_0 = all_992_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (984), (985) imply:
% 276.52/42.08 | (993) all_1474_0 = all_1429_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (993) implies:
% 276.52/42.08 | (994) all_1474_0 = all_1429_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (637), (981) imply:
% 276.52/42.08 | (995) all_1114_1 = all_997_1
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (995) implies:
% 276.52/42.08 | (996) all_1114_1 = all_997_1
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (733), (970) imply:
% 276.52/42.08 | (997) all_1505_7 = all_1291_4
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (997) implies:
% 276.52/42.08 | (998) all_1505_7 = all_1291_4
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (717), (987) imply:
% 276.52/42.08 | (999) all_1505_8 = all_1295_1
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (999) implies:
% 276.52/42.08 | (1000) all_1505_8 = all_1295_1
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (928), (983) imply:
% 276.52/42.08 | (1001) all_1513_0 = all_1074_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (1001) implies:
% 276.52/42.08 | (1002) all_1513_0 = all_1074_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (929), (1002) imply:
% 276.52/42.08 | (1003) all_1505_9 = all_1074_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (1003) implies:
% 276.52/42.08 | (1004) all_1505_9 = all_1074_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (636), (968) imply:
% 276.52/42.08 | (1005) all_1490_0 = all_1245_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (1005) implies:
% 276.52/42.08 | (1006) all_1490_0 = all_1245_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (634), (635) imply:
% 276.52/42.08 | (1007) all_1175_5 = all_887_2
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (1007) implies:
% 276.52/42.08 | (1008) all_1175_5 = all_887_2
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (732), (998) imply:
% 276.52/42.08 | (1009) all_1356_2 = all_1291_4
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (1009) implies:
% 276.52/42.08 | (1010) all_1356_2 = all_1291_4
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (716), (1000) imply:
% 276.52/42.08 | (1011) all_1455_1 = all_1295_1
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (1011) implies:
% 276.52/42.08 | (1012) all_1455_1 = all_1295_1
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (776), (1004) imply:
% 276.52/42.08 | (1013) all_1496_0 = all_1074_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (1013) implies:
% 276.52/42.08 | (1014) all_1496_0 = all_1074_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (911), (935) imply:
% 276.52/42.08 | (1015) all_1427_7 = all_1177_5
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (1015) implies:
% 276.52/42.08 | (1016) all_1427_7 = all_1177_5
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (775), (1014) imply:
% 276.52/42.08 | (1017) all_1480_0 = all_1074_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (1017) implies:
% 276.52/42.08 | (1018) all_1480_0 = all_1074_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (633), (1006) imply:
% 276.52/42.08 | (1019) all_1269_0 = all_1245_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (1019) implies:
% 276.52/42.08 | (1020) all_1269_0 = all_1245_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (774), (962) imply:
% 276.52/42.08 | (1021) all_1452_0 = all_1441_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (773), (774) imply:
% 276.52/42.08 | (1022) all_1480_0 = all_1452_0
% 276.52/42.08 |
% 276.52/42.08 | SIMP: (1022) implies:
% 276.52/42.08 | (1023) all_1480_0 = all_1452_0
% 276.52/42.08 |
% 276.52/42.08 | COMBINE_EQS: (774), (841) imply:
% 276.52/42.09 | (1024) all_1452_0 = all_1374_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (697), (943) imply:
% 276.52/42.09 | (1025) all_1427_6 = all_1304_1
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1025) implies:
% 276.52/42.09 | (1026) all_1427_6 = all_1304_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (871), (945) imply:
% 276.52/42.09 | (1027) all_1386_6 = all_1018_1
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1027) implies:
% 276.52/42.09 | (1028) all_1386_6 = all_1018_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1018), (1023) imply:
% 276.52/42.09 | (1029) all_1452_0 = all_1074_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1029) implies:
% 276.52/42.09 | (1030) all_1452_0 = all_1074_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (772), (994) imply:
% 276.52/42.09 | (1031) all_1429_0 = all_1275_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (770), (994) imply:
% 276.52/42.09 | (1032) all_1429_0 = all_1298_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (771), (994) imply:
% 276.52/42.09 | (1033) all_1429_0 = all_1291_6
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (742), (743) imply:
% 276.52/42.09 | (1034) all_1386_6 = all_1284_6
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1034) implies:
% 276.52/42.09 | (1035) all_1386_6 = all_1284_6
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (743), (883) imply:
% 276.52/42.09 | (1036) all_1427_7 = all_1284_6
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1036) implies:
% 276.52/42.09 | (1037) all_1427_7 = all_1284_6
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (715), (1012) imply:
% 276.52/42.09 | (1038) all_1424_0 = all_1295_1
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1038) implies:
% 276.52/42.09 | (1039) all_1424_0 = all_1295_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1021), (1024) imply:
% 276.52/42.09 | (1040) all_1441_0 = all_1374_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1021), (1030) imply:
% 276.52/42.09 | (1041) all_1441_0 = all_1074_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (632), (922) imply:
% 276.52/42.09 | (1042) all_1435_0 = all_957_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1042) implies:
% 276.52/42.09 | (1043) all_1435_0 = all_957_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1040), (1041) imply:
% 276.52/42.09 | (1044) all_1374_0 = all_1074_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1044) implies:
% 276.52/42.09 | (1045) all_1374_0 = all_1074_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (631), (1043) imply:
% 276.52/42.09 | (1046) all_1394_1 = all_957_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1046) implies:
% 276.52/42.09 | (1047) all_1394_1 = all_957_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1032), (1033) imply:
% 276.52/42.09 | (1048) all_1298_0 = all_1291_6
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1048) implies:
% 276.52/42.09 | (1049) all_1298_0 = all_1291_6
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1031), (1033) imply:
% 276.52/42.09 | (1050) all_1291_6 = all_1275_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (696), (1026) imply:
% 276.52/42.09 | (1051) all_1386_5 = all_1304_1
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1051) implies:
% 276.52/42.09 | (1052) all_1386_5 = all_1304_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1016), (1037) imply:
% 276.52/42.09 | (1053) all_1284_6 = all_1177_5
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1053) implies:
% 276.52/42.09 | (1054) all_1284_6 = all_1177_5
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (714), (1039) imply:
% 276.52/42.09 | (1055) all_1400_0 = all_1295_1
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1055) implies:
% 276.52/42.09 | (1056) all_1400_0 = all_1295_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (769), (821) imply:
% 276.52/42.09 | (1057) all_1213_0 = all_1138_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1057) implies:
% 276.52/42.09 | (1058) all_1213_0 = all_1138_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (821), (954) imply:
% 276.52/42.09 | (1059) all_1138_0 = all_1126_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (659), (660) imply:
% 276.52/42.09 | (1060) all_1301_1 = all_1269_1
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1060) implies:
% 276.52/42.09 | (1061) all_1301_1 = all_1269_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (660), (661) imply:
% 276.52/42.09 | (1062) all_1269_1 = all_1222_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (940), (941) imply:
% 276.52/42.09 | (1063) all_1059_0 = all_986_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1063) implies:
% 276.52/42.09 | (1064) all_1059_0 = all_986_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (713), (1056) imply:
% 276.52/42.09 | (1065) all_1397_0 = all_1295_1
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1065) implies:
% 276.52/42.09 | (1066) all_1397_0 = all_1295_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (712), (1066) imply:
% 276.52/42.09 | (1067) all_1315_0 = all_1295_1
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1067) implies:
% 276.52/42.09 | (1068) all_1315_0 = all_1295_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (630), (1047) imply:
% 276.52/42.09 | (1069) all_1301_0 = all_957_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1069) implies:
% 276.52/42.09 | (1070) all_1301_0 = all_957_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (628), (629) imply:
% 276.52/42.09 | (1071) all_1269_0 = all_930_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1071) implies:
% 276.52/42.09 | (1072) all_1269_0 = all_930_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (695), (1052) imply:
% 276.52/42.09 | (1073) all_1304_1 = all_1284_5
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1028), (1035) imply:
% 276.52/42.09 | (1074) all_1284_6 = all_1018_1
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1074) implies:
% 276.52/42.09 | (1075) all_1284_6 = all_1018_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (979), (1045) imply:
% 276.52/42.09 | (1076) all_1362_0 = all_1074_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1076) implies:
% 276.52/42.09 | (1077) all_1362_0 = all_1074_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (977), (1077) imply:
% 276.52/42.09 | (1078) all_1344_0 = all_1074_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1078) implies:
% 276.52/42.09 | (1079) all_1344_0 = all_1074_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (834), (1010) imply:
% 276.52/42.09 | (1080) all_1353_2 = all_1291_4
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1080) implies:
% 276.52/42.09 | (1081) all_1353_2 = all_1291_4
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (835), (1081) imply:
% 276.52/42.09 | (1082) all_1291_4 = all_1164_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (768), (1079) imply:
% 276.52/42.09 | (1083) all_1321_0 = all_1074_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1083) implies:
% 276.52/42.09 | (1084) all_1321_0 = all_1074_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (624), (625) imply:
% 276.52/42.09 | (1085) all_1288_0 = all_1269_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (624), (626) imply:
% 276.52/42.09 | (1086) all_1288_0 = all_1161_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (624), (627) imply:
% 276.52/42.09 | (1087) all_1288_0 = all_1120_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (957), (958) imply:
% 276.52/42.09 | (1088) all_1301_1 = all_1245_1
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1088) implies:
% 276.52/42.09 | (1089) all_1301_1 = all_1245_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (767), (1084) imply:
% 276.52/42.09 | (1090) all_1298_0 = all_1074_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1090) implies:
% 276.52/42.09 | (1091) all_1298_0 = all_1074_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (711), (1068) imply:
% 276.52/42.09 | (1092) all_1304_0 = all_1295_1
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1092) implies:
% 276.52/42.09 | (1093) all_1304_0 = all_1295_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (972), (1093) imply:
% 276.52/42.09 | (1094) all_1295_1 = all_995_2
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (623), (1070) imply:
% 276.52/42.09 | (1095) all_1175_5 = all_957_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1095) implies:
% 276.52/42.09 | (1096) all_1175_5 = all_957_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (658), (1089) imply:
% 276.52/42.09 | (1097) all_1245_1 = all_1120_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1061), (1089) imply:
% 276.52/42.09 | (1098) all_1269_1 = all_1245_1
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1098) implies:
% 276.52/42.09 | (1099) all_1269_1 = all_1245_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (657), (1089) imply:
% 276.52/42.09 | (1100) all_1291_2 = all_1245_1
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1100) implies:
% 276.52/42.09 | (1101) all_1291_2 = all_1245_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1049), (1091) imply:
% 276.52/42.09 | (1102) all_1291_6 = all_1074_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1102) implies:
% 276.52/42.09 | (1103) all_1291_6 = all_1074_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (656), (1101) imply:
% 276.52/42.09 | (1104) all_1245_1 = all_744_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1104) implies:
% 276.52/42.09 | (1105) all_1245_1 = all_744_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1050), (1103) imply:
% 276.52/42.09 | (1106) all_1275_0 = all_1074_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1106) implies:
% 276.52/42.09 | (1107) all_1275_0 = all_1074_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1086), (1087) imply:
% 276.52/42.09 | (1108) all_1161_1 = all_1120_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1085), (1086) imply:
% 276.52/42.09 | (1109) all_1269_0 = all_1161_1
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1109) implies:
% 276.52/42.09 | (1110) all_1269_0 = all_1161_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1054), (1075) imply:
% 276.52/42.09 | (1111) all_1177_5 = all_1018_1
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1111) implies:
% 276.52/42.09 | (1112) all_1177_5 = all_1018_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (766), (1107) imply:
% 276.52/42.09 | (1113) all_1248_0 = all_1074_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1113) implies:
% 276.52/42.09 | (1114) all_1248_0 = all_1074_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1020), (1110) imply:
% 276.52/42.09 | (1115) all_1245_0 = all_1161_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (622), (1020) imply:
% 276.52/42.09 | (1116) all_1245_0 = all_1167_4
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1020), (1072) imply:
% 276.52/42.09 | (1117) all_1245_0 = all_930_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1062), (1099) imply:
% 276.52/42.09 | (1118) all_1245_1 = all_1222_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1118) implies:
% 276.52/42.09 | (1119) all_1245_1 = all_1222_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (765), (1114) imply:
% 276.52/42.09 | (1120) all_1231_0 = all_1074_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1120) implies:
% 276.52/42.09 | (1121) all_1231_0 = all_1074_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1116), (1117) imply:
% 276.52/42.09 | (1122) all_1167_4 = all_930_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1115), (1116) imply:
% 276.52/42.09 | (1123) all_1167_4 = all_1161_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1105), (1119) imply:
% 276.52/42.09 | (1124) all_1222_0 = all_744_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1097), (1119) imply:
% 276.52/42.09 | (1125) all_1222_0 = all_1120_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (764), (1121) imply:
% 276.52/42.09 | (1126) all_1213_0 = all_1074_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1126) implies:
% 276.52/42.09 | (1127) all_1213_0 = all_1074_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1124), (1125) imply:
% 276.52/42.09 | (1128) all_1120_0 = all_744_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1128) implies:
% 276.52/42.09 | (1129) all_1120_0 = all_744_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1058), (1127) imply:
% 276.52/42.09 | (1130) all_1138_0 = all_1074_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1130) implies:
% 276.52/42.09 | (1131) all_1138_0 = all_1074_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (621), (1096) imply:
% 276.52/42.09 | (1132) all_957_0 = all_915_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1008), (1096) imply:
% 276.52/42.09 | (1133) all_957_0 = all_887_2
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (620), (1096) imply:
% 276.52/42.09 | (1134) all_963_0 = all_957_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1134) implies:
% 276.52/42.09 | (1135) all_963_0 = all_957_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1122), (1123) imply:
% 276.52/42.09 | (1136) all_1161_1 = all_930_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1136) implies:
% 276.52/42.09 | (1137) all_1161_1 = all_930_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1108), (1137) imply:
% 276.52/42.09 | (1138) all_1120_1 = all_930_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1138) implies:
% 276.52/42.09 | (1139) all_1120_1 = all_930_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1059), (1131) imply:
% 276.52/42.09 | (1140) all_1126_1 = all_1074_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1140) implies:
% 276.52/42.09 | (1141) all_1126_1 = all_1074_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (655), (960) imply:
% 276.52/42.09 | (1142) all_1114_0 = all_924_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1142) implies:
% 276.52/42.09 | (1143) all_1114_0 = all_924_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (952), (1141) imply:
% 276.52/42.09 | (1144) all_1111_0 = all_1074_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1144) implies:
% 276.52/42.09 | (1145) all_1111_0 = all_1074_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (992), (1129) imply:
% 276.52/42.09 | (1146) all_992_0 = all_744_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1146) implies:
% 276.52/42.09 | (1147) all_992_0 = all_744_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (619), (1139) imply:
% 276.52/42.09 | (1148) all_1071_0 = all_930_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1148) implies:
% 276.52/42.09 | (1149) all_1071_0 = all_930_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (803), (1143) imply:
% 276.52/42.09 | (1150) all_1105_0 = all_924_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1150) implies:
% 276.52/42.09 | (1151) all_1105_0 = all_924_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (618), (996) imply:
% 276.52/42.09 | (1152) all_997_1 = all_963_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (617), (996) imply:
% 276.52/42.09 | (1153) all_1071_0 = all_997_1
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1153) implies:
% 276.52/42.09 | (1154) all_1071_0 = all_997_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (763), (1145) imply:
% 276.52/42.09 | (1155) all_1102_0 = all_1074_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1155) implies:
% 276.52/42.09 | (1156) all_1102_0 = all_1074_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (804), (1151) imply:
% 276.52/42.09 | (1157) all_1000_0 = all_924_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1157) implies:
% 276.52/42.09 | (1158) all_1000_0 = all_924_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (762), (1156) imply:
% 276.52/42.09 | (1159) all_1074_0 = all_983_2
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (761), (1156) imply:
% 276.52/42.09 | (1160) all_1074_0 = all_1045_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1159), (1160) imply:
% 276.52/42.09 | (1161) all_1045_0 = all_983_2
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1161) implies:
% 276.52/42.09 | (1162) all_1045_0 = all_983_2
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1149), (1154) imply:
% 276.52/42.09 | (1163) all_997_1 = all_930_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1163) implies:
% 276.52/42.09 | (1164) all_997_1 = all_930_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (989), (1064) imply:
% 276.52/42.09 | (1165) all_992_0 = all_986_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1165) implies:
% 276.52/42.09 | (1166) all_992_0 = all_986_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (654), (1158) imply:
% 276.52/42.09 | (1167) all_983_1 = all_924_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1167) implies:
% 276.52/42.09 | (1168) all_983_1 = all_924_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1152), (1164) imply:
% 276.52/42.09 | (1169) all_963_0 = all_930_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1169) implies:
% 276.52/42.09 | (1170) all_963_0 = all_930_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (990), (1166) imply:
% 276.52/42.09 | (1171) all_986_0 = all_978_3
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1147), (1166) imply:
% 276.52/42.09 | (1172) all_986_0 = all_744_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1171), (1172) imply:
% 276.52/42.09 | (1173) all_978_3 = all_744_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1173) implies:
% 276.52/42.09 | (1174) all_978_3 = all_744_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (653), (1168) imply:
% 276.52/42.09 | (1175) all_924_0 = all_798_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (652), (1168) imply:
% 276.52/42.09 | (1176) all_924_0 = all_829_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (918), (1174) imply:
% 276.52/42.09 | (1177) all_910_0 = all_744_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1177) implies:
% 276.52/42.09 | (1178) all_910_0 = all_744_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1135), (1170) imply:
% 276.52/42.09 | (1179) all_957_0 = all_930_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1179) implies:
% 276.52/42.09 | (1180) all_957_0 = all_930_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1132), (1180) imply:
% 276.52/42.09 | (1181) all_930_0 = all_915_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1133), (1180) imply:
% 276.52/42.09 | (1182) all_930_0 = all_887_2
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1181), (1182) imply:
% 276.52/42.09 | (1183) all_915_1 = all_887_2
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1183) implies:
% 276.52/42.09 | (1184) all_915_1 = all_887_2
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1175), (1176) imply:
% 276.52/42.09 | (1185) all_829_1 = all_798_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1185) implies:
% 276.52/42.09 | (1186) all_829_1 = all_798_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (616), (1184) imply:
% 276.52/42.09 | (1187) all_887_2 = all_793_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (651), (1178) imply:
% 276.52/42.09 | (1188) all_907_0 = all_744_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1188) implies:
% 276.52/42.09 | (1189) all_907_0 = all_744_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (650), (1189) imply:
% 276.52/42.09 | (1190) all_819_1 = all_744_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1190) implies:
% 276.52/42.09 | (1191) all_819_1 = all_744_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (648), (1186) imply:
% 276.52/42.09 | (1192) all_819_1 = all_798_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1192) implies:
% 276.52/42.09 | (1193) all_819_1 = all_798_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (649), (1186) imply:
% 276.52/42.09 | (1194) all_798_0 = all_793_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1191), (1193) imply:
% 276.52/42.09 | (1195) all_798_0 = all_744_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1195) implies:
% 276.52/42.09 | (1196) all_798_0 = all_744_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1194), (1196) imply:
% 276.52/42.09 | (1197) all_793_0 = all_744_0
% 276.52/42.09 |
% 276.52/42.09 | SIMP: (1197) implies:
% 276.52/42.09 | (1198) all_793_0 = all_744_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1182), (1187) imply:
% 276.52/42.09 | (1199) all_930_0 = all_793_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1180), (1199) imply:
% 276.52/42.09 | (1200) all_957_0 = all_793_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1164), (1199) imply:
% 276.52/42.09 | (1201) all_997_1 = all_793_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1141), (1159) imply:
% 276.52/42.09 | (1202) all_1126_1 = all_983_2
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1131), (1159) imply:
% 276.52/42.09 | (1203) all_1138_0 = all_983_2
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1122), (1199) imply:
% 276.52/42.09 | (1204) all_1167_4 = all_793_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1096), (1200) imply:
% 276.52/42.09 | (1205) all_1175_5 = all_793_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1116), (1204) imply:
% 276.52/42.09 | (1206) all_1245_0 = all_793_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1103), (1159) imply:
% 276.52/42.09 | (1207) all_1291_6 = all_983_2
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1077), (1159) imply:
% 276.52/42.09 | (1208) all_1362_0 = all_983_2
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1045), (1159) imply:
% 276.52/42.09 | (1209) all_1374_0 = all_983_2
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1016), (1112) imply:
% 276.52/42.09 | (1210) all_1427_7 = all_1018_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (935), (1112) imply:
% 276.52/42.09 | (1211) all_1502_5 = all_1018_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1004), (1159) imply:
% 276.52/42.09 | (1212) all_1505_9 = all_983_2
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1000), (1094) imply:
% 276.52/42.09 | (1213) all_1505_8 = all_995_2
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (998), (1082) imply:
% 276.52/42.09 | (1214) all_1505_7 = all_1164_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (635), (1187) imply:
% 276.52/42.09 | (1215) all_1505_5 = all_793_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (1002), (1159) imply:
% 276.52/42.09 | (1216) all_1513_0 = all_983_2
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (983), (1159) imply:
% 276.52/42.09 | (1217) all_1534_9 = all_983_2
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (987), (1094) imply:
% 276.52/42.09 | (1218) all_1534_8 = all_995_2
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (970), (1082) imply:
% 276.52/42.09 | (1219) all_1534_7 = all_1164_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (981), (1201) imply:
% 276.52/42.09 | (1220) all_1534_5 = all_793_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (784), (1208) imply:
% 276.52/42.09 | (1221) all_1560_11 = all_983_2
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (949), (1082) imply:
% 276.52/42.09 | (1222) all_1560_8 = all_1164_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (832), (1206) imply:
% 276.52/42.09 | (1223) all_1560_6 = all_793_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (790), (1202) imply:
% 276.52/42.09 | (1224) all_1579_10 = all_983_2
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (931), (1094) imply:
% 276.52/42.09 | (1225) all_1579_9 = all_995_2
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (924), (1082) imply:
% 276.52/42.09 | (1226) all_1579_8 = all_1164_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (891), (1201) imply:
% 276.52/42.09 | (1227) all_1579_6 = all_793_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (830), (1112) imply:
% 276.52/42.09 | (1228) all_1621_16 = all_1018_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (908), (1073) imply:
% 276.52/42.09 | (1229) all_1621_15 = all_1284_5
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (926), (1094) imply:
% 276.52/42.09 | (1230) all_1621_2 = all_995_2
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (793), (1216) imply:
% 276.52/42.09 | (1231) all_1623_16 = all_983_2
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (913), (1094) imply:
% 276.52/42.09 | (1232) all_1623_15 = all_995_2
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (816), (1082) imply:
% 276.52/42.09 | (1233) all_1623_10 = all_1164_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (642), (1200) imply:
% 276.52/42.09 | (1234) all_1623_8 = all_793_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (862), (1174) imply:
% 276.52/42.09 | (1235) all_1623_1 = all_744_0
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (893), (1094) imply:
% 276.52/42.09 | (1236) all_1628_22 = all_995_2
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (889), (1211) imply:
% 276.52/42.09 | (1237) all_1628_17 = all_1018_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (901), (1073) imply:
% 276.52/42.09 | (1238) all_1628_16 = all_1284_5
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (887), (1073) imply:
% 276.52/42.09 | (1239) all_1636_22 = all_1284_5
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (879), (906) imply:
% 276.52/42.09 | (1240) all_1636_21 = all_1177_4
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (860), (1094) imply:
% 276.52/42.09 | (1241) all_1636_7 = all_995_2
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (850), (1210) imply:
% 276.52/42.09 | (1242) all_1641_25 = all_1018_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (868), (1073) imply:
% 276.52/42.09 | (1243) all_1641_24 = all_1284_5
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (866), (1240) imply:
% 276.52/42.09 | (1244) all_1641_23 = all_1177_4
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (751), (945) imply:
% 276.52/42.09 | (1245) all_1643_26 = all_1018_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (856), (1073) imply:
% 276.52/42.09 | (1246) all_1643_25 = all_1284_5
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (854), (1240) imply:
% 276.52/42.09 | (1247) all_1643_24 = all_1177_4
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (801), (1094) imply:
% 276.52/42.09 | (1248) all_1643_9 = all_995_2
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (811), (1211) imply:
% 276.52/42.09 | (1249) all_1645_26 = all_1018_1
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (827), (1073) imply:
% 276.52/42.09 | (1250) all_1645_25 = all_1284_5
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (845), (1240) imply:
% 276.52/42.09 | (1251) all_1645_24 = all_1177_4
% 276.52/42.09 |
% 276.52/42.09 | COMBINE_EQS: (754), (1210) imply:
% 276.52/42.10 | (1252) all_1647_28 = all_1018_1
% 276.52/42.10 |
% 276.52/42.10 | COMBINE_EQS: (706), (1229) imply:
% 276.52/42.10 | (1253) all_1647_27 = all_1284_5
% 276.52/42.10 |
% 276.52/42.10 | COMBINE_EQS: (825), (1240) imply:
% 276.52/42.10 | (1254) all_1647_26 = all_1177_4
% 276.52/42.10 |
% 276.52/42.10 | COMBINE_EQS: (797), (1209) imply:
% 276.52/42.10 | (1255) all_1647_14 = all_983_2
% 276.52/42.10 |
% 276.52/42.10 | COMBINE_EQS: (645), (1206) imply:
% 276.52/42.10 | (1256) all_1647_6 = all_793_1
% 276.52/42.10 |
% 276.52/42.10 | COMBINE_EQS: (756), (1228) imply:
% 276.52/42.10 | (1257) all_1649_28 = all_1018_1
% 276.52/42.10 |
% 276.52/42.10 | COMBINE_EQS: (810), (1073) imply:
% 276.52/42.10 | (1258) all_1649_27 = all_1284_5
% 276.52/42.10 |
% 276.52/42.10 | COMBINE_EQS: (808), (1240) imply:
% 276.52/42.10 | (1259) all_1649_26 = all_1177_4
% 276.52/42.10 |
% 276.52/42.10 | COMBINE_EQS: (799), (1203) imply:
% 276.52/42.10 | (1260) all_1649_14 = all_983_2
% 276.52/42.10 |
% 276.52/42.10 | COMBINE_EQS: (728), (1241) imply:
% 276.52/42.10 | (1261) all_1649_13 = all_995_2
% 276.52/42.10 |
% 276.52/42.10 | COMBINE_EQS: (741), (1082) imply:
% 276.52/42.10 | (1262) all_1649_8 = all_1164_1
% 276.52/42.10 |
% 276.52/42.10 | COMBINE_EQS: (647), (1201) imply:
% 276.52/42.10 | (1263) all_1649_6 = all_793_1
% 276.52/42.10 |
% 276.52/42.10 | COMBINE_EQS: (758), (1249) imply:
% 276.52/42.10 | (1264) all_1651_28 = all_1018_1
% 276.52/42.10 |
% 276.52/42.10 | COMBINE_EQS: (710), (1073) imply:
% 276.52/42.10 | (1265) all_1651_27 = all_1284_5
% 276.52/42.10 |
% 276.52/42.10 | COMBINE_EQS: (694), (1240) imply:
% 276.52/42.10 | (1266) all_1651_26 = all_1177_4
% 276.52/42.10 |
% 276.52/42.10 | COMBINE_EQS: (731), (1094) imply:
% 276.52/42.10 | (1267) all_1651_4 = all_995_2
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (588), (1263) imply:
% 276.52/42.10 | (1268) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_793_1) =
% 276.52/42.10 | all_1649_5
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (561), (1256) imply:
% 276.52/42.10 | (1269) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_793_1) =
% 276.52/42.10 | all_1647_5
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (434), (1234) imply:
% 276.52/42.10 | (1270) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_793_1) =
% 276.52/42.10 | all_1623_7
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (387), (1227) imply:
% 276.52/42.10 | (1271) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_793_1) =
% 276.52/42.10 | all_1579_5
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (368), (1223) imply:
% 276.52/42.10 | (1272) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_793_1) =
% 276.52/42.10 | all_1560_5
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (341), (1220) imply:
% 276.52/42.10 | (1273) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_793_1) =
% 276.52/42.10 | all_1534_4
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (327), (1215) imply:
% 276.52/42.10 | (1274) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_793_1) =
% 276.52/42.10 | all_1505_4
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (207), (1205) imply:
% 276.52/42.10 | (1275) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_793_1) =
% 276.52/42.10 | all_1175_4
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (145), (616) imply:
% 276.52/42.10 | (1276) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_793_1) =
% 276.52/42.10 | all_915_0
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (138), (1187) imply:
% 276.52/42.10 | (1277) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_793_1) =
% 276.52/42.10 | all_887_1
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (599), (1267) imply:
% 276.52/42.10 | (1278) hAPP(all_995_2, v_t____) = all_1651_3
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (598), (615) imply:
% 276.52/42.10 | (1279) hAPP(all_1164_0, all_1651_15) = all_1651_8
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (593), (1265) imply:
% 276.52/42.10 | (1280) hAPP(all_1284_5, all_1651_15) = all_1651_14
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (592), (1264) imply:
% 276.52/42.10 | (1281) hAPP(all_1018_1, all_1651_11) = all_1651_10
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (591), (1264) imply:
% 276.52/42.10 | (1282) hAPP(all_1018_1, all_1651_13) = all_1651_12
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (590), (1264), (1266) imply:
% 276.52/42.10 | (1283) hAPP(all_1018_1, all_1177_4) = all_1651_16
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (576), (1261), (1262) imply:
% 276.52/42.10 | (1284) hAPP(all_995_2, all_1164_1) = all_1649_7
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (575), (1261) imply:
% 276.52/42.10 | (1285) hAPP(all_995_2, v_t____) = all_1649_12
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (574), (1260) imply:
% 276.52/42.10 | (1286) hAPP(all_983_2, all_1649_4) = all_1649_3
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (573), (1260) imply:
% 276.52/42.10 | (1287) hAPP(all_983_2, all_1649_11) = all_1649_10
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (572), (1260) imply:
% 276.52/42.10 | (1288) hAPP(all_983_2, v_t____) = all_1649_9
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (571), (806) imply:
% 276.52/42.10 | (1289) hAPP(all_1164_0, all_1649_24) = all_1649_17
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (566), (1258) imply:
% 276.52/42.10 | (1290) hAPP(all_1284_5, all_1649_24) = all_1649_23
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (565), (1257) imply:
% 276.52/42.10 | (1291) hAPP(all_1018_1, all_1649_20) = all_1649_19
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (564), (1257) imply:
% 276.52/42.10 | (1292) hAPP(all_1018_1, all_1649_22) = all_1649_21
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (563), (1257), (1259) imply:
% 276.52/42.10 | (1293) hAPP(all_1018_1, all_1177_4) = all_1649_25
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (546), (726), (739) imply:
% 276.52/42.10 | (1294) hAPP(all_995_2, all_1164_1) = all_1647_7
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (545), (726) imply:
% 276.52/42.10 | (1295) hAPP(all_995_2, v_t____) = all_1647_12
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (544), (1255) imply:
% 276.52/42.10 | (1296) hAPP(all_983_2, all_1647_4) = all_1647_3
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (543), (1255) imply:
% 276.52/42.10 | (1297) hAPP(all_983_2, all_1647_11) = all_1647_10
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (542), (1255) imply:
% 276.52/42.10 | (1298) hAPP(all_983_2, v_t____) = all_1647_9
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (541), (823) imply:
% 276.52/42.10 | (1299) hAPP(all_1164_0, all_1647_24) = all_1647_17
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (536), (1253) imply:
% 276.52/42.10 | (1300) hAPP(all_1284_5, all_1647_24) = all_1647_23
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (535), (1252) imply:
% 276.52/42.10 | (1301) hAPP(all_1018_1, all_1647_20) = all_1647_19
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (534), (1252) imply:
% 276.52/42.10 | (1302) hAPP(all_1018_1, all_1647_22) = all_1647_21
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (533), (1252), (1254) imply:
% 276.52/42.10 | (1303) hAPP(all_1018_1, all_1177_4) = all_1647_25
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (524), (843) imply:
% 276.52/42.10 | (1304) hAPP(all_1164_0, all_1645_22) = all_1645_16
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (520), (1250) imply:
% 276.52/42.10 | (1305) hAPP(all_1284_5, all_1645_22) = all_1645_21
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (519), (1249) imply:
% 276.52/42.10 | (1306) hAPP(all_1018_1, all_1645_2) = all_1645_1
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (518), (1249) imply:
% 276.52/42.10 | (1307) hAPP(all_1018_1, all_1645_20) = all_1645_19
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (517), (1249), (1251) imply:
% 276.52/42.10 | (1308) hAPP(all_1018_1, all_1177_4) = all_1645_23
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (506), (1248) imply:
% 276.52/42.10 | (1309) hAPP(all_995_2, v_t____) = all_1643_8
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (505), (852) imply:
% 276.52/42.10 | (1310) hAPP(all_1164_0, all_1643_22) = all_1643_16
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (501), (1246) imply:
% 276.52/42.10 | (1311) hAPP(all_1284_5, all_1643_22) = all_1643_21
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (500), (1245) imply:
% 276.52/42.10 | (1312) hAPP(all_1018_1, all_1643_4) = all_1643_3
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (499), (1245) imply:
% 276.52/42.10 | (1313) hAPP(all_1018_1, all_1643_20) = all_1643_19
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (498), (1245), (1247) imply:
% 276.52/42.10 | (1314) hAPP(all_1018_1, all_1177_4) = all_1643_23
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (488), (837) imply:
% 276.52/42.10 | (1315) hAPP(all_995_2, v_t____) = all_1641_7
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (487), (864) imply:
% 276.52/42.10 | (1316) hAPP(all_1164_0, all_1641_21) = all_1641_15
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (483), (1243) imply:
% 276.52/42.10 | (1317) hAPP(all_1284_5, all_1641_21) = all_1641_20
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (482), (1242) imply:
% 276.52/42.10 | (1318) hAPP(all_1018_1, all_1641_3) = all_1641_2
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (481), (1242) imply:
% 276.52/42.10 | (1319) hAPP(all_1018_1, all_1641_19) = all_1641_18
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (480), (1242), (1244) imply:
% 276.52/42.10 | (1320) hAPP(all_1018_1, all_1177_4) = all_1641_22
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (466), (1241) imply:
% 276.52/42.10 | (1321) hAPP(all_995_2, v_t____) = all_1636_6
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (465), (877) imply:
% 276.52/42.10 | (1322) hAPP(all_1164_0, all_1636_19) = all_1636_13
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (461), (1239) imply:
% 276.52/42.10 | (1323) hAPP(all_1284_5, all_1636_19) = all_1636_18
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (460), (746) imply:
% 276.52/42.10 | (1324) hAPP(all_1018_1, all_1636_2) = all_1636_1
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (459), (746) imply:
% 276.52/42.10 | (1325) hAPP(all_1018_1, all_1636_17) = all_1636_16
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (458), (746), (1240) imply:
% 276.52/42.10 | (1326) hAPP(all_1018_1, all_1177_4) = all_1636_20
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (449), (897) imply:
% 276.52/42.10 | (1327) hAPP(all_1164_0, all_1628_13) = all_1628_6
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (444), (1238) imply:
% 276.52/42.10 | (1328) hAPP(all_1284_5, all_1628_13) = all_1628_12
% 276.52/42.10 |
% 276.52/42.10 | REDUCE: (443), (1237) imply:
% 276.52/42.10 | (1329) hAPP(all_1018_1, all_1628_9) = all_1628_8
% 276.52/42.10 |
% 276.97/42.10 | REDUCE: (442), (1237) imply:
% 276.97/42.10 | (1330) hAPP(all_1018_1, all_1628_11) = all_1628_10
% 276.97/42.10 |
% 276.97/42.10 | REDUCE: (441), (686), (1237) imply:
% 276.97/42.10 | (1331) hAPP(all_1018_1, all_1177_4) = all_1628_14
% 276.97/42.10 |
% 276.97/42.10 | REDUCE: (439), (1236) imply:
% 276.97/42.10 | (1332) hAPP(all_995_2, v_t____) = all_1628_21
% 276.97/42.10 |
% 276.97/42.10 | REDUCE: (425), (1235) imply:
% 276.97/42.10 | (1333) hAPP(all_1623_12, all_744_0) = all_1623_0
% 276.97/42.10 |
% 276.97/42.10 | REDUCE: (422), (1232), (1233) imply:
% 276.97/42.10 | (1334) hAPP(all_995_2, all_1164_1) = all_1623_9
% 276.97/42.10 |
% 276.97/42.10 | REDUCE: (421), (1232) imply:
% 276.97/42.10 | (1335) hAPP(all_995_2, v_t____) = all_1623_14
% 276.97/42.10 |
% 276.97/42.10 | REDUCE: (420), (1231) imply:
% 276.97/42.10 | (1336) hAPP(all_983_2, all_1623_6) = all_1623_5
% 276.97/42.10 |
% 276.97/42.10 | REDUCE: (419), (1231) imply:
% 276.97/42.10 | (1337) hAPP(all_983_2, all_1623_13) = all_1623_12
% 276.97/42.10 |
% 276.97/42.10 | REDUCE: (418), (1231) imply:
% 276.97/42.10 | (1338) hAPP(all_983_2, v_t____) = all_1623_11
% 276.97/42.10 |
% 276.97/42.10 | REDUCE: (407), (1230) imply:
% 276.97/42.10 | (1339) hAPP(all_995_2, v_t____) = all_1621_1
% 276.97/42.10 |
% 276.97/42.10 | REDUCE: (406), (905) imply:
% 276.97/42.10 | (1340) hAPP(all_1164_0, all_1621_12) = all_1621_5
% 276.97/42.10 |
% 276.97/42.10 | REDUCE: (401), (1229) imply:
% 276.97/42.10 | (1341) hAPP(all_1284_5, all_1621_12) = all_1621_11
% 276.97/42.10 |
% 276.97/42.10 | REDUCE: (400), (1228) imply:
% 276.97/42.10 | (1342) hAPP(all_1018_1, all_1621_8) = all_1621_7
% 276.97/42.10 |
% 276.97/42.10 | REDUCE: (399), (1228) imply:
% 276.97/42.10 | (1343) hAPP(all_1018_1, all_1621_10) = all_1621_9
% 276.97/42.10 |
% 276.97/42.10 | REDUCE: (398), (906), (1228) imply:
% 276.97/42.10 | (1344) hAPP(all_1018_1, all_1177_4) = all_1621_13
% 276.97/42.10 |
% 276.97/42.10 | REDUCE: (379), (1225), (1226) imply:
% 276.97/42.10 | (1345) hAPP(all_995_2, all_1164_1) = all_1579_7
% 276.97/42.10 |
% 276.97/42.10 | REDUCE: (378), (1224) imply:
% 276.97/42.10 | (1346) hAPP(all_983_2, all_1579_4) = all_1579_3
% 276.97/42.10 |
% 276.97/42.10 | REDUCE: (360), (873), (1222) imply:
% 276.97/42.10 | (1347) hAPP(all_995_2, all_1164_1) = all_1560_7
% 276.97/42.10 |
% 276.97/42.10 | REDUCE: (358), (1221) imply:
% 276.97/42.10 | (1348) hAPP(all_983_2, all_1560_4) = all_1560_3
% 276.97/42.10 |
% 276.97/42.10 | REDUCE: (357), (1221) imply:
% 276.97/42.10 | (1349) hAPP(all_983_2, v_t____) = all_1560_10
% 276.97/42.10 |
% 276.97/42.10 | REDUCE: (334), (1218), (1219) imply:
% 276.97/42.10 | (1350) hAPP(all_995_2, all_1164_1) = all_1534_6
% 276.97/42.10 |
% 276.97/42.10 | REDUCE: (333), (1217) imply:
% 276.97/42.10 | (1351) hAPP(all_983_2, all_1534_3) = all_1534_2
% 276.97/42.10 |
% 276.97/42.10 | REDUCE: (320), (1213), (1214) imply:
% 276.97/42.10 | (1352) hAPP(all_995_2, all_1164_1) = all_1505_6
% 276.97/42.10 |
% 276.97/42.10 | REDUCE: (319), (1212) imply:
% 276.97/42.10 | (1353) hAPP(all_983_2, all_1505_3) = all_1505_2
% 276.97/42.10 |
% 276.97/42.10 | REDUCE: (235), (1207) imply:
% 276.97/42.10 | (1354) hAPP(all_983_2, v_t____) = all_1291_5
% 276.97/42.10 |
% 276.97/42.10 | REDUCE: (209), (1112) imply:
% 276.97/42.10 | (1355) hAPP(all_1018_1, all_1177_4) = all_1177_3
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (120) with all_1560_10, all_1623_11, v_t____,
% 276.97/42.10 | all_983_2, simplifying with (1338), (1349) gives:
% 276.97/42.10 | (1356) all_1623_11 = all_1560_10
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (120) with all_1647_9, all_1649_9, v_t____,
% 276.97/42.10 | all_983_2, simplifying with (1288), (1298) gives:
% 276.97/42.10 | (1357) all_1649_9 = all_1647_9
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (120) with all_1623_11, all_1649_9, v_t____,
% 276.97/42.10 | all_983_2, simplifying with (1288), (1338) gives:
% 276.97/42.10 | (1358) all_1649_9 = all_1623_11
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (120) with all_1291_5, all_1649_9, v_t____,
% 276.97/42.10 | all_983_2, simplifying with (1288), (1354) gives:
% 276.97/42.10 | (1359) all_1649_9 = all_1291_5
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (120) with all_995_1, all_1636_6, v_t____,
% 276.97/42.10 | all_995_2, simplifying with (164), (1321) gives:
% 276.97/42.10 | (1360) all_1636_6 = all_995_1
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (120) with all_1628_21, all_1636_6, v_t____,
% 276.97/42.10 | all_995_2, simplifying with (1321), (1332) gives:
% 276.97/42.10 | (1361) all_1636_6 = all_1628_21
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (120) with all_1636_6, all_1641_7, v_t____,
% 276.97/42.10 | all_995_2, simplifying with (1315), (1321) gives:
% 276.97/42.10 | (1362) all_1641_7 = all_1636_6
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (120) with all_1641_7, all_1643_8, v_t____,
% 276.97/42.10 | all_995_2, simplifying with (1309), (1315) gives:
% 276.97/42.10 | (1363) all_1643_8 = all_1641_7
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (120) with all_1628_21, all_1647_12, v_t____,
% 276.97/42.10 | all_995_2, simplifying with (1295), (1332) gives:
% 276.97/42.10 | (1364) all_1647_12 = all_1628_21
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (120) with all_1647_12, all_1649_12, v_t____,
% 276.97/42.10 | all_995_2, simplifying with (1285), (1295) gives:
% 276.97/42.10 | (1365) all_1649_12 = all_1647_12
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (120) with all_1621_1, all_1649_12, v_t____,
% 276.97/42.10 | all_995_2, simplifying with (1285), (1339) gives:
% 276.97/42.10 | (1366) all_1649_12 = all_1621_1
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (120) with all_1643_8, all_1651_3, v_t____,
% 276.97/42.10 | all_995_2, simplifying with (1278), (1309) gives:
% 276.97/42.10 | (1367) all_1651_3 = all_1643_8
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (120) with all_1623_14, all_1651_3, v_t____,
% 276.97/42.10 | all_995_2, simplifying with (1278), (1335) gives:
% 276.97/42.10 | (1368) all_1651_3 = all_1623_14
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (120) with all_1560_7, all_1579_7, all_1164_1,
% 276.97/42.10 | all_995_2, simplifying with (1345), (1347) gives:
% 276.97/42.10 | (1369) all_1579_7 = all_1560_7
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (120) with all_1560_7, all_1623_9, all_1164_1,
% 276.97/42.10 | all_995_2, simplifying with (1334), (1347) gives:
% 276.97/42.10 | (1370) all_1623_9 = all_1560_7
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (120) with all_1579_7, all_1647_7, all_1164_1,
% 276.97/42.10 | all_995_2, simplifying with (1294), (1345) gives:
% 276.97/42.10 | (1371) all_1647_7 = all_1579_7
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (120) with all_1534_6, all_1647_7, all_1164_1,
% 276.97/42.10 | all_995_2, simplifying with (1294), (1350) gives:
% 276.97/42.10 | (1372) all_1647_7 = all_1534_6
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (120) with all_1623_9, all_1649_7, all_1164_1,
% 276.97/42.10 | all_995_2, simplifying with (1284), (1334) gives:
% 276.97/42.10 | (1373) all_1649_7 = all_1623_9
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (120) with all_1505_6, all_1649_7, all_1164_1,
% 276.97/42.10 | all_995_2, simplifying with (1284), (1352) gives:
% 276.97/42.10 | (1374) all_1649_7 = all_1505_6
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (120) with all_1621_13, all_1628_14, all_1177_4,
% 276.97/42.10 | all_1018_1, simplifying with (1331), (1344) gives:
% 276.97/42.10 | (1375) all_1628_14 = all_1621_13
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (120) with all_1628_14, all_1643_23, all_1177_4,
% 276.97/42.10 | all_1018_1, simplifying with (1314), (1331) gives:
% 276.97/42.10 | (1376) all_1643_23 = all_1628_14
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (120) with all_1645_23, all_1647_25, all_1177_4,
% 276.97/42.10 | all_1018_1, simplifying with (1303), (1308) gives:
% 276.97/42.10 | (1377) all_1647_25 = all_1645_23
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (120) with all_1643_23, all_1647_25, all_1177_4,
% 276.97/42.10 | all_1018_1, simplifying with (1303), (1314) gives:
% 276.97/42.10 | (1378) all_1647_25 = all_1643_23
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (120) with all_1641_22, all_1647_25, all_1177_4,
% 276.97/42.10 | all_1018_1, simplifying with (1303), (1320) gives:
% 276.97/42.10 | (1379) all_1647_25 = all_1641_22
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (120) with all_1643_23, all_1649_25, all_1177_4,
% 276.97/42.10 | all_1018_1, simplifying with (1293), (1314) gives:
% 276.97/42.10 | (1380) all_1649_25 = all_1643_23
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (120) with all_1636_20, all_1649_25, all_1177_4,
% 276.97/42.10 | all_1018_1, simplifying with (1293), (1326) gives:
% 276.97/42.10 | (1381) all_1649_25 = all_1636_20
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (120) with all_1645_23, all_1651_16, all_1177_4,
% 276.97/42.10 | all_1018_1, simplifying with (1283), (1308) gives:
% 276.97/42.10 | (1382) all_1651_16 = all_1645_23
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (120) with all_1177_3, all_1651_16, all_1177_4,
% 276.97/42.10 | all_1018_1, simplifying with (1283), (1355) gives:
% 276.97/42.10 | (1383) all_1651_16 = all_1177_3
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (124) with all_1175_4, all_1534_4, all_793_1,
% 276.97/42.10 | v_k____, tc_Nat_Onat, simplifying with (1273), (1275) gives:
% 276.97/42.10 | (1384) all_1534_4 = all_1175_4
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (124) with all_915_0, all_1534_4, all_793_1,
% 276.97/42.10 | v_k____, tc_Nat_Onat, simplifying with (1273), (1276) gives:
% 276.97/42.10 | (1385) all_1534_4 = all_915_0
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (124) with all_887_1, all_1579_5, all_793_1,
% 276.97/42.10 | v_k____, tc_Nat_Onat, simplifying with (1271), (1277) gives:
% 276.97/42.10 | (1386) all_1579_5 = all_887_1
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (124) with all_1623_7, all_1647_5, all_793_1,
% 276.97/42.10 | v_k____, tc_Nat_Onat, simplifying with (1269), (1270) gives:
% 276.97/42.10 | (1387) all_1647_5 = all_1623_7
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (124) with all_1505_4, all_1647_5, all_793_1,
% 276.97/42.10 | v_k____, tc_Nat_Onat, simplifying with (1269), (1274) gives:
% 276.97/42.10 | (1388) all_1647_5 = all_1505_4
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (124) with all_1623_7, all_1649_5, all_793_1,
% 276.97/42.10 | v_k____, tc_Nat_Onat, simplifying with (1268), (1270) gives:
% 276.97/42.10 | (1389) all_1649_5 = all_1623_7
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (124) with all_1579_5, all_1649_5, all_793_1,
% 276.97/42.10 | v_k____, tc_Nat_Onat, simplifying with (1268), (1271) gives:
% 276.97/42.10 | (1390) all_1649_5 = all_1579_5
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (124) with all_1560_5, all_1649_5, all_793_1,
% 276.97/42.10 | v_k____, tc_Nat_Onat, simplifying with (1268), (1272) gives:
% 276.97/42.10 | (1391) all_1649_5 = all_1560_5
% 276.97/42.10 |
% 276.97/42.10 | GROUND_INST: instantiating (124) with all_1175_4, all_1649_5, all_793_1,
% 276.97/42.10 | v_k____, tc_Nat_Onat, simplifying with (1268), (1275) gives:
% 276.97/42.10 | (1392) all_1649_5 = all_1175_4
% 276.97/42.10 |
% 276.97/42.10 | COMBINE_EQS: (1367), (1368) imply:
% 276.97/42.10 | (1393) all_1643_8 = all_1623_14
% 276.97/42.10 |
% 276.97/42.10 | SIMP: (1393) implies:
% 276.97/42.10 | (1394) all_1643_8 = all_1623_14
% 276.97/42.10 |
% 276.97/42.10 | COMBINE_EQS: (1382), (1383) imply:
% 276.97/42.10 | (1395) all_1645_23 = all_1177_3
% 276.97/42.10 |
% 276.97/42.10 | SIMP: (1395) implies:
% 276.97/42.10 | (1396) all_1645_23 = all_1177_3
% 276.97/42.10 |
% 276.97/42.10 | COMBINE_EQS: (1390), (1391) imply:
% 276.97/42.10 | (1397) all_1579_5 = all_1560_5
% 276.97/42.10 |
% 276.97/42.10 | SIMP: (1397) implies:
% 276.97/42.10 | (1398) all_1579_5 = all_1560_5
% 276.97/42.10 |
% 276.97/42.10 | COMBINE_EQS: (1389), (1391) imply:
% 276.97/42.10 | (1399) all_1623_7 = all_1560_5
% 276.97/42.10 |
% 276.97/42.10 | SIMP: (1399) implies:
% 276.97/42.10 | (1400) all_1623_7 = all_1560_5
% 276.97/42.10 |
% 276.97/42.10 | COMBINE_EQS: (1391), (1392) imply:
% 276.97/42.10 | (1401) all_1560_5 = all_1175_4
% 276.97/42.10 |
% 276.97/42.10 | COMBINE_EQS: (1373), (1374) imply:
% 276.97/42.10 | (1402) all_1623_9 = all_1505_6
% 276.97/42.10 |
% 276.97/42.10 | SIMP: (1402) implies:
% 276.97/42.10 | (1403) all_1623_9 = all_1505_6
% 276.97/42.10 |
% 276.97/42.10 | COMBINE_EQS: (1357), (1359) imply:
% 276.97/42.10 | (1404) all_1647_9 = all_1291_5
% 276.97/42.10 |
% 276.97/42.10 | COMBINE_EQS: (1357), (1358) imply:
% 276.97/42.10 | (1405) all_1647_9 = all_1623_11
% 276.97/42.10 |
% 276.97/42.10 | COMBINE_EQS: (1365), (1366) imply:
% 276.97/42.10 | (1406) all_1647_12 = all_1621_1
% 276.97/42.10 |
% 276.97/42.11 | SIMP: (1406) implies:
% 276.97/42.11 | (1407) all_1647_12 = all_1621_1
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1380), (1381) imply:
% 276.97/42.11 | (1408) all_1643_23 = all_1636_20
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1408) implies:
% 276.97/42.11 | (1409) all_1643_23 = all_1636_20
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1387), (1388) imply:
% 276.97/42.11 | (1410) all_1623_7 = all_1505_4
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1410) implies:
% 276.97/42.11 | (1411) all_1623_7 = all_1505_4
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1371), (1372) imply:
% 276.97/42.11 | (1412) all_1579_7 = all_1534_6
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1412) implies:
% 276.97/42.11 | (1413) all_1579_7 = all_1534_6
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1404), (1405) imply:
% 276.97/42.11 | (1414) all_1623_11 = all_1291_5
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1414) implies:
% 276.97/42.11 | (1415) all_1623_11 = all_1291_5
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1364), (1407) imply:
% 276.97/42.11 | (1416) all_1628_21 = all_1621_1
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1416) implies:
% 276.97/42.11 | (1417) all_1628_21 = all_1621_1
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1378), (1379) imply:
% 276.97/42.11 | (1418) all_1643_23 = all_1641_22
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1418) implies:
% 276.97/42.11 | (1419) all_1643_23 = all_1641_22
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1377), (1379) imply:
% 276.97/42.11 | (1420) all_1645_23 = all_1641_22
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1420) implies:
% 276.97/42.11 | (1421) all_1645_23 = all_1641_22
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1396), (1421) imply:
% 276.97/42.11 | (1422) all_1641_22 = all_1177_3
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1422) implies:
% 276.97/42.11 | (1423) all_1641_22 = all_1177_3
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1363), (1394) imply:
% 276.97/42.11 | (1424) all_1641_7 = all_1623_14
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1424) implies:
% 276.97/42.11 | (1425) all_1641_7 = all_1623_14
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1409), (1419) imply:
% 276.97/42.11 | (1426) all_1641_22 = all_1636_20
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1426) implies:
% 276.97/42.11 | (1427) all_1641_22 = all_1636_20
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1376), (1409) imply:
% 276.97/42.11 | (1428) all_1636_20 = all_1628_14
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1362), (1425) imply:
% 276.97/42.11 | (1429) all_1636_6 = all_1623_14
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1429) implies:
% 276.97/42.11 | (1430) all_1636_6 = all_1623_14
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1423), (1427) imply:
% 276.97/42.11 | (1431) all_1636_20 = all_1177_3
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1431) implies:
% 276.97/42.11 | (1432) all_1636_20 = all_1177_3
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1361), (1430) imply:
% 276.97/42.11 | (1433) all_1628_21 = all_1623_14
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1433) implies:
% 276.97/42.11 | (1434) all_1628_21 = all_1623_14
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1360), (1430) imply:
% 276.97/42.11 | (1435) all_1623_14 = all_995_1
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1428), (1432) imply:
% 276.97/42.11 | (1436) all_1628_14 = all_1177_3
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1436) implies:
% 276.97/42.11 | (1437) all_1628_14 = all_1177_3
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1375), (1437) imply:
% 276.97/42.11 | (1438) all_1621_13 = all_1177_3
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1417), (1434) imply:
% 276.97/42.11 | (1439) all_1623_14 = all_1621_1
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1439) implies:
% 276.97/42.11 | (1440) all_1623_14 = all_1621_1
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1400), (1411) imply:
% 276.97/42.11 | (1441) all_1560_5 = all_1505_4
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1441) implies:
% 276.97/42.11 | (1442) all_1560_5 = all_1505_4
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1370), (1403) imply:
% 276.97/42.11 | (1443) all_1560_7 = all_1505_6
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1443) implies:
% 276.97/42.11 | (1444) all_1560_7 = all_1505_6
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1356), (1415) imply:
% 276.97/42.11 | (1445) all_1560_10 = all_1291_5
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1445) implies:
% 276.97/42.11 | (1446) all_1560_10 = all_1291_5
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1435), (1440) imply:
% 276.97/42.11 | (1447) all_1621_1 = all_995_1
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1386), (1398) imply:
% 276.97/42.11 | (1448) all_1560_5 = all_887_1
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1448) implies:
% 276.97/42.11 | (1449) all_1560_5 = all_887_1
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1369), (1413) imply:
% 276.97/42.11 | (1450) all_1560_7 = all_1534_6
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1450) implies:
% 276.97/42.11 | (1451) all_1560_7 = all_1534_6
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1401), (1442) imply:
% 276.97/42.11 | (1452) all_1505_4 = all_1175_4
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1442), (1449) imply:
% 276.97/42.11 | (1453) all_1505_4 = all_887_1
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1444), (1451) imply:
% 276.97/42.11 | (1454) all_1534_6 = all_1505_6
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1454) implies:
% 276.97/42.11 | (1455) all_1534_6 = all_1505_6
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1384), (1385) imply:
% 276.97/42.11 | (1456) all_1175_4 = all_915_0
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1456) implies:
% 276.97/42.11 | (1457) all_1175_4 = all_915_0
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1452), (1453) imply:
% 276.97/42.11 | (1458) all_1175_4 = all_887_1
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1458) implies:
% 276.97/42.11 | (1459) all_1175_4 = all_887_1
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1457), (1459) imply:
% 276.97/42.11 | (1460) all_915_0 = all_887_1
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1460) implies:
% 276.97/42.11 | (1461) all_915_0 = all_887_1
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1385), (1461) imply:
% 276.97/42.11 | (1462) all_1534_4 = all_887_1
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1413), (1455) imply:
% 276.97/42.11 | (1463) all_1579_7 = all_1505_6
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1411), (1453) imply:
% 276.97/42.11 | (1464) all_1623_7 = all_887_1
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1417), (1447) imply:
% 276.97/42.11 | (1465) all_1628_21 = all_995_1
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1425), (1435) imply:
% 276.97/42.11 | (1466) all_1641_7 = all_995_1
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1409), (1432) imply:
% 276.97/42.11 | (1467) all_1643_23 = all_1177_3
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1394), (1435) imply:
% 276.97/42.11 | (1468) all_1643_8 = all_995_1
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1379), (1423) imply:
% 276.97/42.11 | (1469) all_1647_25 = all_1177_3
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1407), (1447) imply:
% 276.97/42.11 | (1470) all_1647_12 = all_995_1
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1372), (1455) imply:
% 276.97/42.11 | (1471) all_1647_7 = all_1505_6
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1388), (1453) imply:
% 276.97/42.11 | (1472) all_1647_5 = all_887_1
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1381), (1432) imply:
% 276.97/42.11 | (1473) all_1649_25 = all_1177_3
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1366), (1447) imply:
% 276.97/42.11 | (1474) all_1649_12 = all_995_1
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1391), (1449) imply:
% 276.97/42.11 | (1475) all_1649_5 = all_887_1
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1368), (1435) imply:
% 276.97/42.11 | (1476) all_1651_3 = all_995_1
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (600), (1476) imply:
% 276.97/42.11 | (1477) hAPP(all_995_1, v_k____) = all_1651_2
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (594), (1383) imply:
% 276.97/42.11 | (1478) hAPP(all_1177_3, v_w____) = all_1651_15
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (578), (1374), (1475) imply:
% 276.97/42.11 | (1479) hAPP(all_1505_6, all_887_1) = all_1649_4
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (577), (1474) imply:
% 276.97/42.11 | (1480) hAPP(all_995_1, v_k____) = all_1649_11
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (567), (1473) imply:
% 276.97/42.11 | (1481) hAPP(all_1177_3, v_w____) = all_1649_24
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (550), (1471), (1472) imply:
% 276.97/42.11 | (1482) hAPP(all_1505_6, all_887_1) = all_1647_4
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (549), (1404) imply:
% 276.97/42.11 | (1483) hAPP(all_1291_5, all_1647_2) = all_1647_1
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (547), (1470) imply:
% 276.97/42.11 | (1484) hAPP(all_995_1, v_k____) = all_1647_11
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (537), (1469) imply:
% 276.97/42.11 | (1485) hAPP(all_1177_3, v_w____) = all_1647_24
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (521), (1396) imply:
% 276.97/42.11 | (1486) hAPP(all_1177_3, v_w____) = all_1645_22
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (507), (1468) imply:
% 276.97/42.11 | (1487) hAPP(all_995_1, v_k____) = all_1643_7
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (502), (1467) imply:
% 276.97/42.11 | (1488) hAPP(all_1177_3, v_w____) = all_1643_22
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (489), (1466) imply:
% 276.97/42.11 | (1489) hAPP(all_995_1, v_k____) = all_1641_6
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (484), (1423) imply:
% 276.97/42.11 | (1490) hAPP(all_1177_3, v_w____) = all_1641_21
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (467), (1360) imply:
% 276.97/42.11 | (1491) hAPP(all_995_1, v_k____) = all_1636_5
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (462), (1432) imply:
% 276.97/42.11 | (1492) hAPP(all_1177_3, v_w____) = all_1636_19
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (445), (1437) imply:
% 276.97/42.11 | (1493) hAPP(all_1177_3, v_w____) = all_1628_13
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (440), (1465) imply:
% 276.97/42.11 | (1494) hAPP(all_995_1, v_k____) = all_1628_20
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (427), (1403), (1464) imply:
% 276.97/42.11 | (1495) hAPP(all_1505_6, all_887_1) = all_1623_6
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (426), (1415) imply:
% 276.97/42.11 | (1496) hAPP(all_1291_5, all_1623_4) = all_1623_3
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (423), (1435) imply:
% 276.97/42.11 | (1497) hAPP(all_995_1, v_k____) = all_1623_13
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (408), (1447) imply:
% 276.97/42.11 | (1498) hAPP(all_995_1, v_k____) = all_1621_0
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (402), (1438) imply:
% 276.97/42.11 | (1499) hAPP(all_1177_3, v_w____) = all_1621_12
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (380), (1386), (1463) imply:
% 276.97/42.11 | (1500) hAPP(all_1505_6, all_887_1) = all_1579_4
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (361), (1444), (1449) imply:
% 276.97/42.11 | (1501) hAPP(all_1505_6, all_887_1) = all_1560_4
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (359), (1446) imply:
% 276.97/42.11 | (1502) hAPP(all_1291_5, all_1560_2) = all_1560_1
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (335), (1455), (1462) imply:
% 276.97/42.11 | (1503) hAPP(all_1505_6, all_887_1) = all_1534_3
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (321), (1453) imply:
% 276.97/42.11 | (1504) hAPP(all_1505_6, all_887_1) = all_1505_3
% 276.97/42.11 |
% 276.97/42.11 | GROUND_INST: instantiating (120) with all_995_0, all_1628_20, v_k____,
% 276.97/42.11 | all_995_1, simplifying with (165), (1494) gives:
% 276.97/42.11 | (1505) all_1628_20 = all_995_0
% 276.97/42.11 |
% 276.97/42.11 | GROUND_INST: instantiating (120) with all_1621_0, all_1628_20, v_k____,
% 276.97/42.11 | all_995_1, simplifying with (1494), (1498) gives:
% 276.97/42.11 | (1506) all_1628_20 = all_1621_0
% 276.97/42.11 |
% 276.97/42.11 | GROUND_INST: instantiating (120) with all_1628_20, all_1636_5, v_k____,
% 276.97/42.11 | all_995_1, simplifying with (1491), (1494) gives:
% 276.97/42.11 | (1507) all_1636_5 = all_1628_20
% 276.97/42.11 |
% 276.97/42.11 | GROUND_INST: instantiating (120) with all_1643_7, all_1647_11, v_k____,
% 276.97/42.11 | all_995_1, simplifying with (1484), (1487) gives:
% 276.97/42.11 | (1508) all_1647_11 = all_1643_7
% 276.97/42.11 |
% 276.97/42.11 | GROUND_INST: instantiating (120) with all_1636_5, all_1647_11, v_k____,
% 276.97/42.11 | all_995_1, simplifying with (1484), (1491) gives:
% 276.97/42.11 | (1509) all_1647_11 = all_1636_5
% 276.97/42.11 |
% 276.97/42.11 | GROUND_INST: instantiating (120) with all_1647_11, all_1649_11, v_k____,
% 276.97/42.11 | all_995_1, simplifying with (1480), (1484) gives:
% 276.97/42.11 | (1510) all_1649_11 = all_1647_11
% 276.97/42.11 |
% 276.97/42.11 | GROUND_INST: instantiating (120) with all_1641_6, all_1649_11, v_k____,
% 276.97/42.11 | all_995_1, simplifying with (1480), (1489) gives:
% 276.97/42.11 | (1511) all_1649_11 = all_1641_6
% 276.97/42.11 |
% 276.97/42.11 | GROUND_INST: instantiating (120) with all_1643_7, all_1651_2, v_k____,
% 276.97/42.11 | all_995_1, simplifying with (1477), (1487) gives:
% 276.97/42.11 | (1512) all_1651_2 = all_1643_7
% 276.97/42.11 |
% 276.97/42.11 | GROUND_INST: instantiating (120) with all_1623_13, all_1651_2, v_k____,
% 276.97/42.11 | all_995_1, simplifying with (1477), (1497) gives:
% 276.97/42.11 | (1513) all_1651_2 = all_1623_13
% 276.97/42.11 |
% 276.97/42.11 | GROUND_INST: instantiating (120) with all_1177_2, all_1643_22, v_w____,
% 276.97/42.11 | all_1177_3, simplifying with (210), (1488) gives:
% 276.97/42.11 | (1514) all_1643_22 = all_1177_2
% 276.97/42.11 |
% 276.97/42.11 | GROUND_INST: instantiating (120) with all_1628_13, all_1643_22, v_w____,
% 276.97/42.11 | all_1177_3, simplifying with (1488), (1493) gives:
% 276.97/42.11 | (1515) all_1643_22 = all_1628_13
% 276.97/42.11 |
% 276.97/42.11 | GROUND_INST: instantiating (120) with all_1645_22, all_1647_24, v_w____,
% 276.97/42.11 | all_1177_3, simplifying with (1485), (1486) gives:
% 276.97/42.11 | (1516) all_1647_24 = all_1645_22
% 276.97/42.11 |
% 276.97/42.11 | GROUND_INST: instantiating (120) with all_1621_12, all_1647_24, v_w____,
% 276.97/42.11 | all_1177_3, simplifying with (1485), (1499) gives:
% 276.97/42.11 | (1517) all_1647_24 = all_1621_12
% 276.97/42.11 |
% 276.97/42.11 | GROUND_INST: instantiating (120) with all_1645_22, all_1649_24, v_w____,
% 276.97/42.11 | all_1177_3, simplifying with (1481), (1486) gives:
% 276.97/42.11 | (1518) all_1649_24 = all_1645_22
% 276.97/42.11 |
% 276.97/42.11 | GROUND_INST: instantiating (120) with all_1636_19, all_1649_24, v_w____,
% 276.97/42.11 | all_1177_3, simplifying with (1481), (1492) gives:
% 276.97/42.11 | (1519) all_1649_24 = all_1636_19
% 276.97/42.11 |
% 276.97/42.11 | GROUND_INST: instantiating (120) with all_1628_13, all_1649_24, v_w____,
% 276.97/42.11 | all_1177_3, simplifying with (1481), (1493) gives:
% 276.97/42.11 | (1520) all_1649_24 = all_1628_13
% 276.97/42.11 |
% 276.97/42.11 | GROUND_INST: instantiating (120) with all_1645_22, all_1651_15, v_w____,
% 276.97/42.11 | all_1177_3, simplifying with (1478), (1486) gives:
% 276.97/42.11 | (1521) all_1651_15 = all_1645_22
% 276.97/42.11 |
% 276.97/42.11 | GROUND_INST: instantiating (120) with all_1641_21, all_1651_15, v_w____,
% 276.97/42.11 | all_1177_3, simplifying with (1478), (1490) gives:
% 276.97/42.11 | (1522) all_1651_15 = all_1641_21
% 276.97/42.11 |
% 276.97/42.11 | GROUND_INST: instantiating (120) with all_1560_4, all_1623_6, all_887_1,
% 276.97/42.11 | all_1505_6, simplifying with (1495), (1501) gives:
% 276.97/42.11 | (1523) all_1623_6 = all_1560_4
% 276.97/42.11 |
% 276.97/42.11 | GROUND_INST: instantiating (120) with all_1623_6, all_1647_4, all_887_1,
% 276.97/42.11 | all_1505_6, simplifying with (1482), (1495) gives:
% 276.97/42.11 | (1524) all_1647_4 = all_1623_6
% 276.97/42.11 |
% 276.97/42.11 | GROUND_INST: instantiating (120) with all_1579_4, all_1647_4, all_887_1,
% 276.97/42.11 | all_1505_6, simplifying with (1482), (1500) gives:
% 276.97/42.11 | (1525) all_1647_4 = all_1579_4
% 276.97/42.11 |
% 276.97/42.11 | GROUND_INST: instantiating (120) with all_1534_3, all_1647_4, all_887_1,
% 276.97/42.11 | all_1505_6, simplifying with (1482), (1503) gives:
% 276.97/42.11 | (1526) all_1647_4 = all_1534_3
% 276.97/42.11 |
% 276.97/42.11 | GROUND_INST: instantiating (120) with all_1623_6, all_1649_4, all_887_1,
% 276.97/42.11 | all_1505_6, simplifying with (1479), (1495) gives:
% 276.97/42.11 | (1527) all_1649_4 = all_1623_6
% 276.97/42.11 |
% 276.97/42.11 | GROUND_INST: instantiating (120) with all_1505_3, all_1649_4, all_887_1,
% 276.97/42.11 | all_1505_6, simplifying with (1479), (1504) gives:
% 276.97/42.11 | (1528) all_1649_4 = all_1505_3
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1512), (1513) imply:
% 276.97/42.11 | (1529) all_1643_7 = all_1623_13
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1529) implies:
% 276.97/42.11 | (1530) all_1643_7 = all_1623_13
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1521), (1522) imply:
% 276.97/42.11 | (1531) all_1645_22 = all_1641_21
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1531) implies:
% 276.97/42.11 | (1532) all_1645_22 = all_1641_21
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1527), (1528) imply:
% 276.97/42.11 | (1533) all_1623_6 = all_1505_3
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1533) implies:
% 276.97/42.11 | (1534) all_1623_6 = all_1505_3
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1510), (1511) imply:
% 276.97/42.11 | (1535) all_1647_11 = all_1641_6
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1535) implies:
% 276.97/42.11 | (1536) all_1647_11 = all_1641_6
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1519), (1520) imply:
% 276.97/42.11 | (1537) all_1636_19 = all_1628_13
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1518), (1519) imply:
% 276.97/42.11 | (1538) all_1645_22 = all_1636_19
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1538) implies:
% 276.97/42.11 | (1539) all_1645_22 = all_1636_19
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1524), (1525) imply:
% 276.97/42.11 | (1540) all_1623_6 = all_1579_4
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1540) implies:
% 276.97/42.11 | (1541) all_1623_6 = all_1579_4
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1525), (1526) imply:
% 276.97/42.11 | (1542) all_1579_4 = all_1534_3
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1508), (1536) imply:
% 276.97/42.11 | (1543) all_1643_7 = all_1641_6
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1543) implies:
% 276.97/42.11 | (1544) all_1643_7 = all_1641_6
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1509), (1536) imply:
% 276.97/42.11 | (1545) all_1641_6 = all_1636_5
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1516), (1517) imply:
% 276.97/42.11 | (1546) all_1645_22 = all_1621_12
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1546) implies:
% 276.97/42.11 | (1547) all_1645_22 = all_1621_12
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1532), (1539) imply:
% 276.97/42.11 | (1548) all_1641_21 = all_1636_19
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1532), (1547) imply:
% 276.97/42.11 | (1549) all_1641_21 = all_1621_12
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1530), (1544) imply:
% 276.97/42.11 | (1550) all_1641_6 = all_1623_13
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1550) implies:
% 276.97/42.11 | (1551) all_1641_6 = all_1623_13
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1514), (1515) imply:
% 276.97/42.11 | (1552) all_1628_13 = all_1177_2
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1552) implies:
% 276.97/42.11 | (1553) all_1628_13 = all_1177_2
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1545), (1551) imply:
% 276.97/42.11 | (1554) all_1636_5 = all_1623_13
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1554) implies:
% 276.97/42.11 | (1555) all_1636_5 = all_1623_13
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1548), (1549) imply:
% 276.97/42.11 | (1556) all_1636_19 = all_1621_12
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1556) implies:
% 276.97/42.11 | (1557) all_1636_19 = all_1621_12
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1507), (1555) imply:
% 276.97/42.11 | (1558) all_1628_20 = all_1623_13
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1558) implies:
% 276.97/42.11 | (1559) all_1628_20 = all_1623_13
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1537), (1557) imply:
% 276.97/42.11 | (1560) all_1628_13 = all_1621_12
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1560) implies:
% 276.97/42.11 | (1561) all_1628_13 = all_1621_12
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1553), (1561) imply:
% 276.97/42.11 | (1562) all_1621_12 = all_1177_2
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1506), (1559) imply:
% 276.97/42.11 | (1563) all_1623_13 = all_1621_0
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1505), (1559) imply:
% 276.97/42.11 | (1564) all_1623_13 = all_995_0
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1523), (1541) imply:
% 276.97/42.11 | (1565) all_1579_4 = all_1560_4
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1565) implies:
% 276.97/42.11 | (1566) all_1579_4 = all_1560_4
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1523), (1534) imply:
% 276.97/42.11 | (1567) all_1560_4 = all_1505_3
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1563), (1564) imply:
% 276.97/42.11 | (1568) all_1621_0 = all_995_0
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1568) implies:
% 276.97/42.11 | (1569) all_1621_0 = all_995_0
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1542), (1566) imply:
% 276.97/42.11 | (1570) all_1560_4 = all_1534_3
% 276.97/42.11 |
% 276.97/42.11 | SIMP: (1570) implies:
% 276.97/42.11 | (1571) all_1560_4 = all_1534_3
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1567), (1571) imply:
% 276.97/42.11 | (1572) all_1534_3 = all_1505_3
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1542), (1572) imply:
% 276.97/42.11 | (1573) all_1579_4 = all_1505_3
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1557), (1562) imply:
% 276.97/42.11 | (1574) all_1636_19 = all_1177_2
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1549), (1562) imply:
% 276.97/42.11 | (1575) all_1641_21 = all_1177_2
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1551), (1564) imply:
% 276.97/42.11 | (1576) all_1641_6 = all_995_0
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1532), (1575) imply:
% 276.97/42.11 | (1577) all_1645_22 = all_1177_2
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1517), (1562) imply:
% 276.97/42.11 | (1578) all_1647_24 = all_1177_2
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1536), (1576) imply:
% 276.97/42.11 | (1579) all_1647_11 = all_995_0
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1525), (1573) imply:
% 276.97/42.11 | (1580) all_1647_4 = all_1505_3
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1519), (1574) imply:
% 276.97/42.11 | (1581) all_1649_24 = all_1177_2
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1511), (1576) imply:
% 276.97/42.11 | (1582) all_1649_11 = all_995_0
% 276.97/42.11 |
% 276.97/42.11 | COMBINE_EQS: (1522), (1575) imply:
% 276.97/42.11 | (1583) all_1651_15 = all_1177_2
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (596), (1583) imply:
% 276.97/42.11 | (1584) hAPP(all_1651_12, all_1177_2) = all_1651_11
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (569), (1581) imply:
% 276.97/42.11 | (1585) hAPP(all_1649_21, all_1177_2) = all_1649_20
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (539), (1578) imply:
% 276.97/42.11 | (1586) hAPP(all_1647_21, all_1177_2) = all_1647_20
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (523), (1577) imply:
% 276.97/42.11 | (1587) hAPP(all_1645_19, all_1177_2) = all_1645_2
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (504), (1514) imply:
% 276.97/42.11 | (1588) hAPP(all_1643_19, all_1177_2) = all_1643_4
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (486), (1575) imply:
% 276.97/42.11 | (1589) hAPP(all_1641_18, all_1177_2) = all_1641_3
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (464), (1574) imply:
% 276.97/42.11 | (1590) hAPP(all_1636_16, all_1177_2) = all_1636_2
% 276.97/42.11 |
% 276.97/42.11 | REDUCE: (447), (1553) imply:
% 276.97/42.12 | (1591) hAPP(all_1628_10, all_1177_2) = all_1628_9
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (404), (1562) imply:
% 276.97/42.12 | (1592) hAPP(all_1621_9, all_1177_2) = all_1621_8
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1280), (1583) imply:
% 276.97/42.12 | (1593) hAPP(all_1284_5, all_1177_2) = all_1651_14
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1290), (1581) imply:
% 276.97/42.12 | (1594) hAPP(all_1284_5, all_1177_2) = all_1649_23
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1300), (1578) imply:
% 276.97/42.12 | (1595) hAPP(all_1284_5, all_1177_2) = all_1647_23
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1305), (1577) imply:
% 276.97/42.12 | (1596) hAPP(all_1284_5, all_1177_2) = all_1645_21
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1311), (1514) imply:
% 276.97/42.12 | (1597) hAPP(all_1284_5, all_1177_2) = all_1643_21
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1317), (1575) imply:
% 276.97/42.12 | (1598) hAPP(all_1284_5, all_1177_2) = all_1641_20
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1323), (1574) imply:
% 276.97/42.12 | (1599) hAPP(all_1284_5, all_1177_2) = all_1636_18
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1328), (1553) imply:
% 276.97/42.12 | (1600) hAPP(all_1284_5, all_1177_2) = all_1628_12
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1341), (1562) imply:
% 276.97/42.12 | (1601) hAPP(all_1284_5, all_1177_2) = all_1621_11
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1279), (1583) imply:
% 276.97/42.12 | (1602) hAPP(all_1164_0, all_1177_2) = all_1651_8
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1289), (1581) imply:
% 276.97/42.12 | (1603) hAPP(all_1164_0, all_1177_2) = all_1649_17
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1299), (1578) imply:
% 276.97/42.12 | (1604) hAPP(all_1164_0, all_1177_2) = all_1647_17
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1304), (1577) imply:
% 276.97/42.12 | (1605) hAPP(all_1164_0, all_1177_2) = all_1645_16
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1310), (1514) imply:
% 276.97/42.12 | (1606) hAPP(all_1164_0, all_1177_2) = all_1643_16
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1316), (1575) imply:
% 276.97/42.12 | (1607) hAPP(all_1164_0, all_1177_2) = all_1641_15
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1322), (1574) imply:
% 276.97/42.12 | (1608) hAPP(all_1164_0, all_1177_2) = all_1636_13
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1327), (1553) imply:
% 276.97/42.12 | (1609) hAPP(all_1164_0, all_1177_2) = all_1628_6
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1340), (1562) imply:
% 276.97/42.12 | (1610) hAPP(all_1164_0, all_1177_2) = all_1621_5
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1286), (1528) imply:
% 276.97/42.12 | (1611) hAPP(all_983_2, all_1505_3) = all_1649_3
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1287), (1582) imply:
% 276.97/42.12 | (1612) hAPP(all_983_2, all_995_0) = all_1649_10
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1296), (1580) imply:
% 276.97/42.12 | (1613) hAPP(all_983_2, all_1505_3) = all_1647_3
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1297), (1579) imply:
% 276.97/42.12 | (1614) hAPP(all_983_2, all_995_0) = all_1647_10
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1336), (1534) imply:
% 276.97/42.12 | (1615) hAPP(all_983_2, all_1505_3) = all_1623_5
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1337), (1564) imply:
% 276.97/42.12 | (1616) hAPP(all_983_2, all_995_0) = all_1623_12
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1346), (1573) imply:
% 276.97/42.12 | (1617) hAPP(all_983_2, all_1505_3) = all_1579_3
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1348), (1567) imply:
% 276.97/42.12 | (1618) hAPP(all_983_2, all_1505_3) = all_1560_3
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1351), (1572) imply:
% 276.97/42.12 | (1619) hAPP(all_983_2, all_1505_3) = all_1534_2
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (397), (1569) imply:
% 276.97/42.12 | (1620) $i(all_995_0)
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (396), (1569) imply:
% 276.97/42.12 | (1621) ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1621_3,
% 276.97/42.12 | all_995_0)
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1647_10, all_1649_10, all_995_0,
% 276.97/42.12 | all_983_2, simplifying with (1612), (1614) gives:
% 276.97/42.12 | (1622) all_1649_10 = all_1647_10
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1623_12, all_1649_10, all_995_0,
% 276.97/42.12 | all_983_2, simplifying with (1612), (1616) gives:
% 276.97/42.12 | (1623) all_1649_10 = all_1623_12
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1505_2, all_1560_3, all_1505_3,
% 276.97/42.12 | all_983_2, simplifying with (1353), (1618) gives:
% 276.97/42.12 | (1624) all_1560_3 = all_1505_2
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1560_3, all_1579_3, all_1505_3,
% 276.97/42.12 | all_983_2, simplifying with (1617), (1618) gives:
% 276.97/42.12 | (1625) all_1579_3 = all_1560_3
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1579_3, all_1623_5, all_1505_3,
% 276.97/42.12 | all_983_2, simplifying with (1615), (1617) gives:
% 276.97/42.12 | (1626) all_1623_5 = all_1579_3
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1623_5, all_1647_3, all_1505_3,
% 276.97/42.12 | all_983_2, simplifying with (1613), (1615) gives:
% 276.97/42.12 | (1627) all_1647_3 = all_1623_5
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1647_3, all_1649_3, all_1505_3,
% 276.97/42.12 | all_983_2, simplifying with (1611), (1613) gives:
% 276.97/42.12 | (1628) all_1649_3 = all_1647_3
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1534_2, all_1649_3, all_1505_3,
% 276.97/42.12 | all_983_2, simplifying with (1611), (1619) gives:
% 276.97/42.12 | (1629) all_1649_3 = all_1534_2
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1641_15, all_1643_16, all_1177_2,
% 276.97/42.12 | all_1164_0, simplifying with (1606), (1607) gives:
% 276.97/42.12 | (1630) all_1643_16 = all_1641_15
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1636_13, all_1643_16, all_1177_2,
% 276.97/42.12 | all_1164_0, simplifying with (1606), (1608) gives:
% 276.97/42.12 | (1631) all_1643_16 = all_1636_13
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1643_16, all_1647_17, all_1177_2,
% 276.97/42.12 | all_1164_0, simplifying with (1604), (1606) gives:
% 276.97/42.12 | (1632) all_1647_17 = all_1643_16
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1645_16, all_1649_17, all_1177_2,
% 276.97/42.12 | all_1164_0, simplifying with (1603), (1605) gives:
% 276.97/42.12 | (1633) all_1649_17 = all_1645_16
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1643_16, all_1649_17, all_1177_2,
% 276.97/42.12 | all_1164_0, simplifying with (1603), (1606) gives:
% 276.97/42.12 | (1634) all_1649_17 = all_1643_16
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1621_5, all_1649_17, all_1177_2,
% 276.97/42.12 | all_1164_0, simplifying with (1603), (1610) gives:
% 276.97/42.12 | (1635) all_1649_17 = all_1621_5
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1647_17, all_1651_8, all_1177_2,
% 276.97/42.12 | all_1164_0, simplifying with (1602), (1604) gives:
% 276.97/42.12 | (1636) all_1651_8 = all_1647_17
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1628_6, all_1651_8, all_1177_2,
% 276.97/42.12 | all_1164_0, simplifying with (1602), (1609) gives:
% 276.97/42.12 | (1637) all_1651_8 = all_1628_6
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1643_21, all_1645_21, all_1177_2,
% 276.97/42.12 | all_1284_5, simplifying with (1596), (1597) gives:
% 276.97/42.12 | (1638) all_1645_21 = all_1643_21
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1641_20, all_1645_21, all_1177_2,
% 276.97/42.12 | all_1284_5, simplifying with (1596), (1598) gives:
% 276.97/42.12 | (1639) all_1645_21 = all_1641_20
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1636_18, all_1645_21, all_1177_2,
% 276.97/42.12 | all_1284_5, simplifying with (1596), (1599) gives:
% 276.97/42.12 | (1640) all_1645_21 = all_1636_18
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1645_21, all_1647_23, all_1177_2,
% 276.97/42.12 | all_1284_5, simplifying with (1595), (1596) gives:
% 276.97/42.12 | (1641) all_1647_23 = all_1645_21
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1636_18, all_1649_23, all_1177_2,
% 276.97/42.12 | all_1284_5, simplifying with (1594), (1599) gives:
% 276.97/42.12 | (1642) all_1649_23 = all_1636_18
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1621_11, all_1649_23, all_1177_2,
% 276.97/42.12 | all_1284_5, simplifying with (1594), (1601) gives:
% 276.97/42.12 | (1643) all_1649_23 = all_1621_11
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1647_23, all_1651_14, all_1177_2,
% 276.97/42.12 | all_1284_5, simplifying with (1593), (1595) gives:
% 276.97/42.12 | (1644) all_1651_14 = all_1647_23
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1628_12, all_1651_14, all_1177_2,
% 276.97/42.12 | all_1284_5, simplifying with (1593), (1600) gives:
% 276.97/42.12 | (1645) all_1651_14 = all_1628_12
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1636), (1637) imply:
% 276.97/42.12 | (1646) all_1647_17 = all_1628_6
% 276.97/42.12 |
% 276.97/42.12 | SIMP: (1646) implies:
% 276.97/42.12 | (1647) all_1647_17 = all_1628_6
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1644), (1645) imply:
% 276.97/42.12 | (1648) all_1647_23 = all_1628_12
% 276.97/42.12 |
% 276.97/42.12 | SIMP: (1648) implies:
% 276.97/42.12 | (1649) all_1647_23 = all_1628_12
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1628), (1629) imply:
% 276.97/42.12 | (1650) all_1647_3 = all_1534_2
% 276.97/42.12 |
% 276.97/42.12 | SIMP: (1650) implies:
% 276.97/42.12 | (1651) all_1647_3 = all_1534_2
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1622), (1623) imply:
% 276.97/42.12 | (1652) all_1647_10 = all_1623_12
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1633), (1635) imply:
% 276.97/42.12 | (1653) all_1645_16 = all_1621_5
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1633), (1634) imply:
% 276.97/42.12 | (1654) all_1645_16 = all_1643_16
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1642), (1643) imply:
% 276.97/42.12 | (1655) all_1636_18 = all_1621_11
% 276.97/42.12 |
% 276.97/42.12 | SIMP: (1655) implies:
% 276.97/42.12 | (1656) all_1636_18 = all_1621_11
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1627), (1651) imply:
% 276.97/42.12 | (1657) all_1623_5 = all_1534_2
% 276.97/42.12 |
% 276.97/42.12 | SIMP: (1657) implies:
% 276.97/42.12 | (1658) all_1623_5 = all_1534_2
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1632), (1647) imply:
% 276.97/42.12 | (1659) all_1643_16 = all_1628_6
% 276.97/42.12 |
% 276.97/42.12 | SIMP: (1659) implies:
% 276.97/42.12 | (1660) all_1643_16 = all_1628_6
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1641), (1649) imply:
% 276.97/42.12 | (1661) all_1645_21 = all_1628_12
% 276.97/42.12 |
% 276.97/42.12 | SIMP: (1661) implies:
% 276.97/42.12 | (1662) all_1645_21 = all_1628_12
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1653), (1654) imply:
% 276.97/42.12 | (1663) all_1643_16 = all_1621_5
% 276.97/42.12 |
% 276.97/42.12 | SIMP: (1663) implies:
% 276.97/42.12 | (1664) all_1643_16 = all_1621_5
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1638), (1640) imply:
% 276.97/42.12 | (1665) all_1643_21 = all_1636_18
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1638), (1639) imply:
% 276.97/42.12 | (1666) all_1643_21 = all_1641_20
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1638), (1662) imply:
% 276.97/42.12 | (1667) all_1643_21 = all_1628_12
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1630), (1664) imply:
% 276.97/42.12 | (1668) all_1641_15 = all_1621_5
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1630), (1631) imply:
% 276.97/42.12 | (1669) all_1641_15 = all_1636_13
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1630), (1660) imply:
% 276.97/42.12 | (1670) all_1641_15 = all_1628_6
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1665), (1666) imply:
% 276.97/42.12 | (1671) all_1641_20 = all_1636_18
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1666), (1667) imply:
% 276.97/42.12 | (1672) all_1641_20 = all_1628_12
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1669), (1670) imply:
% 276.97/42.12 | (1673) all_1636_13 = all_1628_6
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1668), (1669) imply:
% 276.97/42.12 | (1674) all_1636_13 = all_1621_5
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1671), (1672) imply:
% 276.97/42.12 | (1675) all_1636_18 = all_1628_12
% 276.97/42.12 |
% 276.97/42.12 | SIMP: (1675) implies:
% 276.97/42.12 | (1676) all_1636_18 = all_1628_12
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1673), (1674) imply:
% 276.97/42.12 | (1677) all_1628_6 = all_1621_5
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1656), (1676) imply:
% 276.97/42.12 | (1678) all_1628_12 = all_1621_11
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1626), (1658) imply:
% 276.97/42.12 | (1679) all_1579_3 = all_1534_2
% 276.97/42.12 |
% 276.97/42.12 | SIMP: (1679) implies:
% 276.97/42.12 | (1680) all_1579_3 = all_1534_2
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1625), (1680) imply:
% 276.97/42.12 | (1681) all_1560_3 = all_1534_2
% 276.97/42.12 |
% 276.97/42.12 | SIMP: (1681) implies:
% 276.97/42.12 | (1682) all_1560_3 = all_1534_2
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1624), (1682) imply:
% 276.97/42.12 | (1683) all_1534_2 = all_1505_2
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1680), (1683) imply:
% 276.97/42.12 | (1684) all_1579_3 = all_1505_2
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1658), (1683) imply:
% 276.97/42.12 | (1685) all_1623_5 = all_1505_2
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1672), (1678) imply:
% 276.97/42.12 | (1686) all_1641_20 = all_1621_11
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1666), (1686) imply:
% 276.97/42.12 | (1687) all_1643_21 = all_1621_11
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1638), (1687) imply:
% 276.97/42.12 | (1688) all_1645_21 = all_1621_11
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1649), (1678) imply:
% 276.97/42.12 | (1689) all_1647_23 = all_1621_11
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1647), (1677) imply:
% 276.97/42.12 | (1690) all_1647_17 = all_1621_5
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1651), (1683) imply:
% 276.97/42.12 | (1691) all_1647_3 = all_1505_2
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1645), (1678) imply:
% 276.97/42.12 | (1692) all_1651_14 = all_1621_11
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1637), (1677) imply:
% 276.97/42.12 | (1693) all_1651_8 = all_1621_5
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (597), (1693) imply:
% 276.97/42.12 | (1694) hAPP(all_1651_10, all_1621_5) = all_1651_7
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (595), (1692) imply:
% 276.97/42.12 | (1695) hAPP(all_1621_11, v_k____) = all_1651_13
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (570), (1635) imply:
% 276.97/42.12 | (1696) hAPP(all_1649_19, all_1621_5) = all_1649_16
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (568), (1643) imply:
% 276.97/42.12 | (1697) hAPP(all_1621_11, v_k____) = all_1649_22
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (551), (1691) imply:
% 276.97/42.12 | (1698) hAPP(all_1505_2, v_m____) = all_1647_2
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (548), (1652) imply:
% 276.97/42.12 | (1699) hAPP(all_1623_12, all_1647_1) = all_1647_0
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (540), (1690) imply:
% 276.97/42.12 | (1700) hAPP(all_1647_19, all_1621_5) = all_1647_16
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (538), (1689) imply:
% 276.97/42.12 | (1701) hAPP(all_1621_11, v_k____) = all_1647_22
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (525), (1653) imply:
% 276.97/42.12 | (1702) hAPP(all_1645_1, all_1621_5) = all_1645_0
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (522), (1688) imply:
% 276.97/42.12 | (1703) hAPP(all_1621_11, v_k____) = all_1645_20
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (508), (1664) imply:
% 276.97/42.12 | (1704) hAPP(all_1643_3, all_1621_5) = all_1643_2
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (503), (1687) imply:
% 276.97/42.12 | (1705) hAPP(all_1621_11, v_k____) = all_1643_20
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (490), (1668) imply:
% 276.97/42.12 | (1706) hAPP(all_1641_2, all_1621_5) = all_1641_1
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (485), (1686) imply:
% 276.97/42.12 | (1707) hAPP(all_1621_11, v_k____) = all_1641_19
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (468), (1674) imply:
% 276.97/42.12 | (1708) hAPP(all_1636_1, all_1621_5) = all_1636_0
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (463), (1656) imply:
% 276.97/42.12 | (1709) hAPP(all_1621_11, v_k____) = all_1636_17
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (448), (1677) imply:
% 276.97/42.12 | (1710) hAPP(all_1628_8, all_1621_5) = all_1628_5
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (446), (1678) imply:
% 276.97/42.12 | (1711) hAPP(all_1621_11, v_k____) = all_1628_11
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (428), (1685) imply:
% 276.97/42.12 | (1712) hAPP(all_1505_2, v_m____) = all_1623_4
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (381), (1684) imply:
% 276.97/42.12 | (1713) hAPP(all_1505_2, v_m____) = all_1579_2
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (362), (1624) imply:
% 276.97/42.12 | (1714) hAPP(all_1505_2, v_m____) = all_1560_2
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (336), (1683) imply:
% 276.97/42.12 | (1715) hAPP(all_1505_2, v_m____) = all_1534_1
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1579_2, all_1623_4, v_m____,
% 276.97/42.12 | all_1505_2, simplifying with (1712), (1713) gives:
% 276.97/42.12 | (1716) all_1623_4 = all_1579_2
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1534_1, all_1623_4, v_m____,
% 276.97/42.12 | all_1505_2, simplifying with (1712), (1715) gives:
% 276.97/42.12 | (1717) all_1623_4 = all_1534_1
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1505_1, all_1647_2, v_m____,
% 276.97/42.12 | all_1505_2, simplifying with (322), (1698) gives:
% 276.97/42.12 | (1718) all_1647_2 = all_1505_1
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1579_2, all_1647_2, v_m____,
% 276.97/42.12 | all_1505_2, simplifying with (1698), (1713) gives:
% 276.97/42.12 | (1719) all_1647_2 = all_1579_2
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1560_2, all_1647_2, v_m____,
% 276.97/42.12 | all_1505_2, simplifying with (1698), (1714) gives:
% 276.97/42.12 | (1720) all_1647_2 = all_1560_2
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1621_10, all_1643_20, v_k____,
% 276.97/42.12 | all_1621_11, simplifying with (403), (1705) gives:
% 276.97/42.12 | (1721) all_1643_20 = all_1621_10
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1641_19, all_1643_20, v_k____,
% 276.97/42.12 | all_1621_11, simplifying with (1705), (1707) gives:
% 276.97/42.12 | (1722) all_1643_20 = all_1641_19
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1645_20, all_1649_22, v_k____,
% 276.97/42.12 | all_1621_11, simplifying with (1697), (1703) gives:
% 276.97/42.12 | (1723) all_1649_22 = all_1645_20
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1641_19, all_1649_22, v_k____,
% 276.97/42.12 | all_1621_11, simplifying with (1697), (1707) gives:
% 276.97/42.12 | (1724) all_1649_22 = all_1641_19
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1636_17, all_1649_22, v_k____,
% 276.97/42.12 | all_1621_11, simplifying with (1697), (1709) gives:
% 276.97/42.12 | (1725) all_1649_22 = all_1636_17
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1628_11, all_1649_22, v_k____,
% 276.97/42.12 | all_1621_11, simplifying with (1697), (1711) gives:
% 276.97/42.12 | (1726) all_1649_22 = all_1628_11
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1649_22, all_1651_13, v_k____,
% 276.97/42.12 | all_1621_11, simplifying with (1695), (1697) gives:
% 276.97/42.12 | (1727) all_1651_13 = all_1649_22
% 276.97/42.12 |
% 276.97/42.12 | GROUND_INST: instantiating (120) with all_1647_22, all_1651_13, v_k____,
% 276.97/42.12 | all_1621_11, simplifying with (1695), (1701) gives:
% 276.97/42.12 | (1728) all_1651_13 = all_1647_22
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1727), (1728) imply:
% 276.97/42.12 | (1729) all_1649_22 = all_1647_22
% 276.97/42.12 |
% 276.97/42.12 | SIMP: (1729) implies:
% 276.97/42.12 | (1730) all_1649_22 = all_1647_22
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1726), (1730) imply:
% 276.97/42.12 | (1731) all_1647_22 = all_1628_11
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1725), (1730) imply:
% 276.97/42.12 | (1732) all_1647_22 = all_1636_17
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1723), (1730) imply:
% 276.97/42.12 | (1733) all_1647_22 = all_1645_20
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1724), (1730) imply:
% 276.97/42.12 | (1734) all_1647_22 = all_1641_19
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1719), (1720) imply:
% 276.97/42.12 | (1735) all_1579_2 = all_1560_2
% 276.97/42.12 |
% 276.97/42.12 | SIMP: (1735) implies:
% 276.97/42.12 | (1736) all_1579_2 = all_1560_2
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1718), (1720) imply:
% 276.97/42.12 | (1737) all_1560_2 = all_1505_1
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1732), (1733) imply:
% 276.97/42.12 | (1738) all_1645_20 = all_1636_17
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1731), (1733) imply:
% 276.97/42.12 | (1739) all_1645_20 = all_1628_11
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1733), (1734) imply:
% 276.97/42.12 | (1740) all_1645_20 = all_1641_19
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1738), (1739) imply:
% 276.97/42.12 | (1741) all_1636_17 = all_1628_11
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1738), (1740) imply:
% 276.97/42.12 | (1742) all_1641_19 = all_1636_17
% 276.97/42.12 |
% 276.97/42.12 | SIMP: (1742) implies:
% 276.97/42.12 | (1743) all_1641_19 = all_1636_17
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1721), (1722) imply:
% 276.97/42.12 | (1744) all_1641_19 = all_1621_10
% 276.97/42.12 |
% 276.97/42.12 | SIMP: (1744) implies:
% 276.97/42.12 | (1745) all_1641_19 = all_1621_10
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1743), (1745) imply:
% 276.97/42.12 | (1746) all_1636_17 = all_1621_10
% 276.97/42.12 |
% 276.97/42.12 | SIMP: (1746) implies:
% 276.97/42.12 | (1747) all_1636_17 = all_1621_10
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1741), (1747) imply:
% 276.97/42.12 | (1748) all_1628_11 = all_1621_10
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1716), (1717) imply:
% 276.97/42.12 | (1749) all_1579_2 = all_1534_1
% 276.97/42.12 |
% 276.97/42.12 | SIMP: (1749) implies:
% 276.97/42.12 | (1750) all_1579_2 = all_1534_1
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1736), (1750) imply:
% 276.97/42.12 | (1751) all_1560_2 = all_1534_1
% 276.97/42.12 |
% 276.97/42.12 | SIMP: (1751) implies:
% 276.97/42.12 | (1752) all_1560_2 = all_1534_1
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1737), (1752) imply:
% 276.97/42.12 | (1753) all_1534_1 = all_1505_1
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1717), (1753) imply:
% 276.97/42.12 | (1754) all_1623_4 = all_1505_1
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1738), (1747) imply:
% 276.97/42.12 | (1755) all_1645_20 = all_1621_10
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1733), (1755) imply:
% 276.97/42.12 | (1756) all_1647_22 = all_1621_10
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1730), (1756) imply:
% 276.97/42.12 | (1757) all_1649_22 = all_1621_10
% 276.97/42.12 |
% 276.97/42.12 | COMBINE_EQS: (1728), (1756) imply:
% 276.97/42.12 | (1758) all_1651_13 = all_1621_10
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1483), (1718) imply:
% 276.97/42.12 | (1759) hAPP(all_1291_5, all_1505_1) = all_1647_1
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1496), (1754) imply:
% 276.97/42.12 | (1760) hAPP(all_1291_5, all_1505_1) = all_1623_3
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1502), (1737) imply:
% 276.97/42.12 | (1761) hAPP(all_1291_5, all_1505_1) = all_1560_1
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1282), (1758) imply:
% 276.97/42.12 | (1762) hAPP(all_1018_1, all_1621_10) = all_1651_12
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1292), (1757) imply:
% 276.97/42.12 | (1763) hAPP(all_1018_1, all_1621_10) = all_1649_21
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1302), (1756) imply:
% 276.97/42.12 | (1764) hAPP(all_1018_1, all_1621_10) = all_1647_21
% 276.97/42.12 |
% 276.97/42.12 | REDUCE: (1307), (1755) imply:
% 276.97/42.12 | (1765) hAPP(all_1018_1, all_1621_10) = all_1645_19
% 276.97/42.12 |
% 276.97/42.13 | REDUCE: (1313), (1721) imply:
% 276.97/42.13 | (1766) hAPP(all_1018_1, all_1621_10) = all_1643_19
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (1319), (1745) imply:
% 276.97/42.13 | (1767) hAPP(all_1018_1, all_1621_10) = all_1641_18
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (1325), (1747) imply:
% 276.97/42.13 | (1768) hAPP(all_1018_1, all_1621_10) = all_1636_16
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (1330), (1748) imply:
% 276.97/42.13 | (1769) hAPP(all_1018_1, all_1621_10) = all_1628_10
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1636_16, all_1641_18, all_1621_10,
% 276.97/42.13 | all_1018_1, simplifying with (1767), (1768) gives:
% 276.97/42.13 | (1770) all_1641_18 = all_1636_16
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1636_16, all_1643_19, all_1621_10,
% 276.97/42.13 | all_1018_1, simplifying with (1766), (1768) gives:
% 276.97/42.13 | (1771) all_1643_19 = all_1636_16
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1643_19, all_1647_21, all_1621_10,
% 276.97/42.13 | all_1018_1, simplifying with (1764), (1766) gives:
% 276.97/42.13 | (1772) all_1647_21 = all_1643_19
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1628_10, all_1647_21, all_1621_10,
% 276.97/42.13 | all_1018_1, simplifying with (1764), (1769) gives:
% 276.97/42.13 | (1773) all_1647_21 = all_1628_10
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1621_9, all_1649_21, all_1621_10,
% 276.97/42.13 | all_1018_1, simplifying with (1343), (1763) gives:
% 276.97/42.13 | (1774) all_1649_21 = all_1621_9
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1641_18, all_1649_21, all_1621_10,
% 276.97/42.13 | all_1018_1, simplifying with (1763), (1767) gives:
% 276.97/42.13 | (1775) all_1649_21 = all_1641_18
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1649_21, all_1651_12, all_1621_10,
% 276.97/42.13 | all_1018_1, simplifying with (1762), (1763) gives:
% 276.97/42.13 | (1776) all_1651_12 = all_1649_21
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1645_19, all_1651_12, all_1621_10,
% 276.97/42.13 | all_1018_1, simplifying with (1762), (1765) gives:
% 276.97/42.13 | (1777) all_1651_12 = all_1645_19
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1623_3, all_1647_1, all_1505_1,
% 276.97/42.13 | all_1291_5, simplifying with (1759), (1760) gives:
% 276.97/42.13 | (1778) all_1647_1 = all_1623_3
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1560_1, all_1647_1, all_1505_1,
% 276.97/42.13 | all_1291_5, simplifying with (1759), (1761) gives:
% 276.97/42.13 | (1779) all_1647_1 = all_1560_1
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1776), (1777) imply:
% 276.97/42.13 | (1780) all_1649_21 = all_1645_19
% 276.97/42.13 |
% 276.97/42.13 | SIMP: (1780) implies:
% 276.97/42.13 | (1781) all_1649_21 = all_1645_19
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1774), (1781) imply:
% 276.97/42.13 | (1782) all_1645_19 = all_1621_9
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1775), (1781) imply:
% 276.97/42.13 | (1783) all_1645_19 = all_1641_18
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1778), (1779) imply:
% 276.97/42.13 | (1784) all_1623_3 = all_1560_1
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1772), (1773) imply:
% 276.97/42.13 | (1785) all_1643_19 = all_1628_10
% 276.97/42.13 |
% 276.97/42.13 | SIMP: (1785) implies:
% 276.97/42.13 | (1786) all_1643_19 = all_1628_10
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1782), (1783) imply:
% 276.97/42.13 | (1787) all_1641_18 = all_1621_9
% 276.97/42.13 |
% 276.97/42.13 | SIMP: (1787) implies:
% 276.97/42.13 | (1788) all_1641_18 = all_1621_9
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1771), (1786) imply:
% 276.97/42.13 | (1789) all_1636_16 = all_1628_10
% 276.97/42.13 |
% 276.97/42.13 | SIMP: (1789) implies:
% 276.97/42.13 | (1790) all_1636_16 = all_1628_10
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1770), (1788) imply:
% 276.97/42.13 | (1791) all_1636_16 = all_1621_9
% 276.97/42.13 |
% 276.97/42.13 | SIMP: (1791) implies:
% 276.97/42.13 | (1792) all_1636_16 = all_1621_9
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1790), (1792) imply:
% 276.97/42.13 | (1793) all_1628_10 = all_1621_9
% 276.97/42.13 |
% 276.97/42.13 | SIMP: (1793) implies:
% 276.97/42.13 | (1794) all_1628_10 = all_1621_9
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1786), (1794) imply:
% 276.97/42.13 | (1795) all_1643_19 = all_1621_9
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1773), (1794) imply:
% 276.97/42.13 | (1796) all_1647_21 = all_1621_9
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1777), (1782) imply:
% 276.97/42.13 | (1797) all_1651_12 = all_1621_9
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (1584), (1797) imply:
% 276.97/42.13 | (1798) hAPP(all_1621_9, all_1177_2) = all_1651_11
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (1585), (1774) imply:
% 276.97/42.13 | (1799) hAPP(all_1621_9, all_1177_2) = all_1649_20
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (1586), (1796) imply:
% 276.97/42.13 | (1800) hAPP(all_1621_9, all_1177_2) = all_1647_20
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (1587), (1782) imply:
% 276.97/42.13 | (1801) hAPP(all_1621_9, all_1177_2) = all_1645_2
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (1588), (1795) imply:
% 276.97/42.13 | (1802) hAPP(all_1621_9, all_1177_2) = all_1643_4
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (1589), (1788) imply:
% 276.97/42.13 | (1803) hAPP(all_1621_9, all_1177_2) = all_1641_3
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (1590), (1792) imply:
% 276.97/42.13 | (1804) hAPP(all_1621_9, all_1177_2) = all_1636_2
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (1591), (1794) imply:
% 276.97/42.13 | (1805) hAPP(all_1621_9, all_1177_2) = all_1628_9
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (1699), (1779) imply:
% 276.97/42.13 | (1806) hAPP(all_1623_12, all_1560_1) = all_1647_0
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (424), (1784) imply:
% 276.97/42.13 | (1807) hAPP(all_1623_12, all_1560_1) = all_1623_2
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1636_2, all_1641_3, all_1177_2,
% 276.97/42.13 | all_1621_9, simplifying with (1803), (1804) gives:
% 276.97/42.13 | (1808) all_1641_3 = all_1636_2
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1621_8, all_1643_4, all_1177_2,
% 276.97/42.13 | all_1621_9, simplifying with (1592), (1802) gives:
% 276.97/42.13 | (1809) all_1643_4 = all_1621_8
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1636_2, all_1643_4, all_1177_2,
% 276.97/42.13 | all_1621_9, simplifying with (1802), (1804) gives:
% 276.97/42.13 | (1810) all_1643_4 = all_1636_2
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1641_3, all_1647_20, all_1177_2,
% 276.97/42.13 | all_1621_9, simplifying with (1800), (1803) gives:
% 276.97/42.13 | (1811) all_1647_20 = all_1641_3
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1628_9, all_1647_20, all_1177_2,
% 276.97/42.13 | all_1621_9, simplifying with (1800), (1805) gives:
% 276.97/42.13 | (1812) all_1647_20 = all_1628_9
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1647_20, all_1649_20, all_1177_2,
% 276.97/42.13 | all_1621_9, simplifying with (1799), (1800) gives:
% 276.97/42.13 | (1813) all_1649_20 = all_1647_20
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1649_20, all_1651_11, all_1177_2,
% 276.97/42.13 | all_1621_9, simplifying with (1798), (1799) gives:
% 276.97/42.13 | (1814) all_1651_11 = all_1649_20
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1645_2, all_1651_11, all_1177_2,
% 276.97/42.13 | all_1621_9, simplifying with (1798), (1801) gives:
% 276.97/42.13 | (1815) all_1651_11 = all_1645_2
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1623_2, all_1647_0, all_1560_1,
% 276.97/42.13 | all_1623_12, simplifying with (1806), (1807) gives:
% 276.97/42.13 | (1816) all_1647_0 = all_1623_2
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1814), (1815) imply:
% 276.97/42.13 | (1817) all_1649_20 = all_1645_2
% 276.97/42.13 |
% 276.97/42.13 | SIMP: (1817) implies:
% 276.97/42.13 | (1818) all_1649_20 = all_1645_2
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1813), (1818) imply:
% 276.97/42.13 | (1819) all_1647_20 = all_1645_2
% 276.97/42.13 |
% 276.97/42.13 | SIMP: (1819) implies:
% 276.97/42.13 | (1820) all_1647_20 = all_1645_2
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1811), (1820) imply:
% 276.97/42.13 | (1821) all_1645_2 = all_1641_3
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1812), (1820) imply:
% 276.97/42.13 | (1822) all_1645_2 = all_1628_9
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1821), (1822) imply:
% 276.97/42.13 | (1823) all_1641_3 = all_1628_9
% 276.97/42.13 |
% 276.97/42.13 | SIMP: (1823) implies:
% 276.97/42.13 | (1824) all_1641_3 = all_1628_9
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1809), (1810) imply:
% 276.97/42.13 | (1825) all_1636_2 = all_1621_8
% 276.97/42.13 |
% 276.97/42.13 | SIMP: (1825) implies:
% 276.97/42.13 | (1826) all_1636_2 = all_1621_8
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1808), (1824) imply:
% 276.97/42.13 | (1827) all_1636_2 = all_1628_9
% 276.97/42.13 |
% 276.97/42.13 | SIMP: (1827) implies:
% 276.97/42.13 | (1828) all_1636_2 = all_1628_9
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1826), (1828) imply:
% 276.97/42.13 | (1829) all_1628_9 = all_1621_8
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1824), (1829) imply:
% 276.97/42.13 | (1830) all_1641_3 = all_1621_8
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1822), (1829) imply:
% 276.97/42.13 | (1831) all_1645_2 = all_1621_8
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1820), (1831) imply:
% 276.97/42.13 | (1832) all_1647_20 = all_1621_8
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1818), (1831) imply:
% 276.97/42.13 | (1833) all_1649_20 = all_1621_8
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1815), (1831) imply:
% 276.97/42.13 | (1834) all_1651_11 = all_1621_8
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (1281), (1834) imply:
% 276.97/42.13 | (1835) hAPP(all_1018_1, all_1621_8) = all_1651_10
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (1291), (1833) imply:
% 276.97/42.13 | (1836) hAPP(all_1018_1, all_1621_8) = all_1649_19
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (1301), (1832) imply:
% 276.97/42.13 | (1837) hAPP(all_1018_1, all_1621_8) = all_1647_19
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (1306), (1831) imply:
% 276.97/42.13 | (1838) hAPP(all_1018_1, all_1621_8) = all_1645_1
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (1312), (1809) imply:
% 276.97/42.13 | (1839) hAPP(all_1018_1, all_1621_8) = all_1643_3
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (1318), (1830) imply:
% 276.97/42.13 | (1840) hAPP(all_1018_1, all_1621_8) = all_1641_2
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (1324), (1826) imply:
% 276.97/42.13 | (1841) hAPP(all_1018_1, all_1621_8) = all_1636_1
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (1329), (1829) imply:
% 276.97/42.13 | (1842) hAPP(all_1018_1, all_1621_8) = all_1628_8
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (532), (1816) imply:
% 276.97/42.13 | (1843) $i(all_1623_2)
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (531), (1816) imply:
% 276.97/42.13 | (1844) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1647_15,
% 276.97/42.13 | all_1623_2)
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1621_7, all_1641_2, all_1621_8,
% 276.97/42.13 | all_1018_1, simplifying with (1342), (1840) gives:
% 276.97/42.13 | (1845) all_1641_2 = all_1621_7
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1628_8, all_1641_2, all_1621_8,
% 276.97/42.13 | all_1018_1, simplifying with (1840), (1842) gives:
% 276.97/42.13 | (1846) all_1641_2 = all_1628_8
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1641_2, all_1643_3, all_1621_8,
% 276.97/42.13 | all_1018_1, simplifying with (1839), (1840) gives:
% 276.97/42.13 | (1847) all_1643_3 = all_1641_2
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1643_3, all_1647_19, all_1621_8,
% 276.97/42.13 | all_1018_1, simplifying with (1837), (1839) gives:
% 276.97/42.13 | (1848) all_1647_19 = all_1643_3
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1636_1, all_1647_19, all_1621_8,
% 276.97/42.13 | all_1018_1, simplifying with (1837), (1841) gives:
% 276.97/42.13 | (1849) all_1647_19 = all_1636_1
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1647_19, all_1649_19, all_1621_8,
% 276.97/42.13 | all_1018_1, simplifying with (1836), (1837) gives:
% 276.97/42.13 | (1850) all_1649_19 = all_1647_19
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1649_19, all_1651_10, all_1621_8,
% 276.97/42.13 | all_1018_1, simplifying with (1835), (1836) gives:
% 276.97/42.13 | (1851) all_1651_10 = all_1649_19
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1645_1, all_1651_10, all_1621_8,
% 276.97/42.13 | all_1018_1, simplifying with (1835), (1838) gives:
% 276.97/42.13 | (1852) all_1651_10 = all_1645_1
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1851), (1852) imply:
% 276.97/42.13 | (1853) all_1649_19 = all_1645_1
% 276.97/42.13 |
% 276.97/42.13 | SIMP: (1853) implies:
% 276.97/42.13 | (1854) all_1649_19 = all_1645_1
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1850), (1854) imply:
% 276.97/42.13 | (1855) all_1647_19 = all_1645_1
% 276.97/42.13 |
% 276.97/42.13 | SIMP: (1855) implies:
% 276.97/42.13 | (1856) all_1647_19 = all_1645_1
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1849), (1856) imply:
% 276.97/42.13 | (1857) all_1645_1 = all_1636_1
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1848), (1856) imply:
% 276.97/42.13 | (1858) all_1645_1 = all_1643_3
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1857), (1858) imply:
% 276.97/42.13 | (1859) all_1643_3 = all_1636_1
% 276.97/42.13 |
% 276.97/42.13 | SIMP: (1859) implies:
% 276.97/42.13 | (1860) all_1643_3 = all_1636_1
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1847), (1860) imply:
% 276.97/42.13 | (1861) all_1641_2 = all_1636_1
% 276.97/42.13 |
% 276.97/42.13 | SIMP: (1861) implies:
% 276.97/42.13 | (1862) all_1641_2 = all_1636_1
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1845), (1862) imply:
% 276.97/42.13 | (1863) all_1636_1 = all_1621_7
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1846), (1862) imply:
% 276.97/42.13 | (1864) all_1636_1 = all_1628_8
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1863), (1864) imply:
% 276.97/42.13 | (1865) all_1628_8 = all_1621_7
% 276.97/42.13 |
% 276.97/42.13 | SIMP: (1865) implies:
% 276.97/42.13 | (1866) all_1628_8 = all_1621_7
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1860), (1863) imply:
% 276.97/42.13 | (1867) all_1643_3 = all_1621_7
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1857), (1863) imply:
% 276.97/42.13 | (1868) all_1645_1 = all_1621_7
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1856), (1868) imply:
% 276.97/42.13 | (1869) all_1647_19 = all_1621_7
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1854), (1868) imply:
% 276.97/42.13 | (1870) all_1649_19 = all_1621_7
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1852), (1868) imply:
% 276.97/42.13 | (1871) all_1651_10 = all_1621_7
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (1694), (1871) imply:
% 276.97/42.13 | (1872) hAPP(all_1621_7, all_1621_5) = all_1651_7
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (1696), (1870) imply:
% 276.97/42.13 | (1873) hAPP(all_1621_7, all_1621_5) = all_1649_16
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (1700), (1869) imply:
% 276.97/42.13 | (1874) hAPP(all_1621_7, all_1621_5) = all_1647_16
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (1702), (1868) imply:
% 276.97/42.13 | (1875) hAPP(all_1621_7, all_1621_5) = all_1645_0
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (1704), (1867) imply:
% 276.97/42.13 | (1876) hAPP(all_1621_7, all_1621_5) = all_1643_2
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (1706), (1845) imply:
% 276.97/42.13 | (1877) hAPP(all_1621_7, all_1621_5) = all_1641_1
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (1708), (1863) imply:
% 276.97/42.13 | (1878) hAPP(all_1621_7, all_1621_5) = all_1636_0
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (1710), (1866) imply:
% 276.97/42.13 | (1879) hAPP(all_1621_7, all_1621_5) = all_1628_5
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1621_4, all_1641_1, all_1621_5,
% 276.97/42.13 | all_1621_7, simplifying with (405), (1877) gives:
% 276.97/42.13 | (1880) all_1641_1 = all_1621_4
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1636_0, all_1641_1, all_1621_5,
% 276.97/42.13 | all_1621_7, simplifying with (1877), (1878) gives:
% 276.97/42.13 | (1881) all_1641_1 = all_1636_0
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1636_0, all_1643_2, all_1621_5,
% 276.97/42.13 | all_1621_7, simplifying with (1876), (1878) gives:
% 276.97/42.13 | (1882) all_1643_2 = all_1636_0
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1643_2, all_1647_16, all_1621_5,
% 276.97/42.13 | all_1621_7, simplifying with (1874), (1876) gives:
% 276.97/42.13 | (1883) all_1647_16 = all_1643_2
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1628_5, all_1647_16, all_1621_5,
% 276.97/42.13 | all_1621_7, simplifying with (1874), (1879) gives:
% 276.97/42.13 | (1884) all_1647_16 = all_1628_5
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1647_16, all_1649_16, all_1621_5,
% 276.97/42.13 | all_1621_7, simplifying with (1873), (1874) gives:
% 276.97/42.13 | (1885) all_1649_16 = all_1647_16
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1649_16, all_1651_7, all_1621_5,
% 276.97/42.13 | all_1621_7, simplifying with (1872), (1873) gives:
% 276.97/42.13 | (1886) all_1651_7 = all_1649_16
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (120) with all_1645_0, all_1651_7, all_1621_5,
% 276.97/42.13 | all_1621_7, simplifying with (1872), (1875) gives:
% 276.97/42.13 | (1887) all_1651_7 = all_1645_0
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1886), (1887) imply:
% 276.97/42.13 | (1888) all_1649_16 = all_1645_0
% 276.97/42.13 |
% 276.97/42.13 | SIMP: (1888) implies:
% 276.97/42.13 | (1889) all_1649_16 = all_1645_0
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1885), (1889) imply:
% 276.97/42.13 | (1890) all_1647_16 = all_1645_0
% 276.97/42.13 |
% 276.97/42.13 | SIMP: (1890) implies:
% 276.97/42.13 | (1891) all_1647_16 = all_1645_0
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1883), (1891) imply:
% 276.97/42.13 | (1892) all_1645_0 = all_1643_2
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1884), (1891) imply:
% 276.97/42.13 | (1893) all_1645_0 = all_1628_5
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1892), (1893) imply:
% 276.97/42.13 | (1894) all_1643_2 = all_1628_5
% 276.97/42.13 |
% 276.97/42.13 | SIMP: (1894) implies:
% 276.97/42.13 | (1895) all_1643_2 = all_1628_5
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1882), (1895) imply:
% 276.97/42.13 | (1896) all_1636_0 = all_1628_5
% 276.97/42.13 |
% 276.97/42.13 | SIMP: (1896) implies:
% 276.97/42.13 | (1897) all_1636_0 = all_1628_5
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1880), (1881) imply:
% 276.97/42.13 | (1898) all_1636_0 = all_1621_4
% 276.97/42.13 |
% 276.97/42.13 | SIMP: (1898) implies:
% 276.97/42.13 | (1899) all_1636_0 = all_1621_4
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1897), (1899) imply:
% 276.97/42.13 | (1900) all_1628_5 = all_1621_4
% 276.97/42.13 |
% 276.97/42.13 | SIMP: (1900) implies:
% 276.97/42.13 | (1901) all_1628_5 = all_1621_4
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1895), (1901) imply:
% 276.97/42.13 | (1902) all_1643_2 = all_1621_4
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1893), (1901) imply:
% 276.97/42.13 | (1903) all_1645_0 = all_1621_4
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1891), (1903) imply:
% 276.97/42.13 | (1904) all_1647_16 = all_1621_4
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1889), (1903) imply:
% 276.97/42.13 | (1905) all_1649_16 = all_1621_4
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (585), (1905) imply:
% 276.97/42.13 | (1906) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1621_4) =
% 276.97/42.13 | all_1649_15
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (558), (1904) imply:
% 276.97/42.13 | (1907) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1621_4) =
% 276.97/42.13 | all_1647_15
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (514), (1902) imply:
% 276.97/42.13 | (1908) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1621_4) =
% 276.97/42.13 | all_1643_1
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (455), (1901) imply:
% 276.97/42.13 | (1909) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1621_4) =
% 276.97/42.13 | all_1628_1
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (123) with all_1628_1, all_1643_1, all_1621_4,
% 276.97/42.13 | tc_Complex_Ocomplex, simplifying with (1908), (1909) gives:
% 276.97/42.13 | (1910) all_1643_1 = all_1628_1
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (123) with all_1621_3, all_1649_15, all_1621_4,
% 276.97/42.13 | tc_Complex_Ocomplex, simplifying with (413), (1906) gives:
% 276.97/42.13 | (1911) all_1649_15 = all_1621_3
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (123) with all_1647_15, all_1649_15, all_1621_4,
% 276.97/42.13 | tc_Complex_Ocomplex, simplifying with (1906), (1907) gives:
% 276.97/42.13 | (1912) all_1649_15 = all_1647_15
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (123) with all_1643_1, all_1649_15, all_1621_4,
% 276.97/42.13 | tc_Complex_Ocomplex, simplifying with (1906), (1908) gives:
% 276.97/42.13 | (1913) all_1649_15 = all_1643_1
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1911), (1912) imply:
% 276.97/42.13 | (1914) all_1647_15 = all_1621_3
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1912), (1913) imply:
% 276.97/42.13 | (1915) all_1647_15 = all_1643_1
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1914), (1915) imply:
% 276.97/42.13 | (1916) all_1643_1 = all_1621_3
% 276.97/42.13 |
% 276.97/42.13 | SIMP: (1916) implies:
% 276.97/42.13 | (1917) all_1643_1 = all_1621_3
% 276.97/42.13 |
% 276.97/42.13 | COMBINE_EQS: (1910), (1917) imply:
% 276.97/42.13 | (1918) all_1628_1 = all_1621_3
% 276.97/42.13 |
% 276.97/42.13 | SIMP: (1918) implies:
% 276.97/42.13 | (1919) all_1628_1 = all_1621_3
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (438), (1919) imply:
% 276.97/42.13 | (1920) $i(all_1621_3)
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (1844), (1914) imply:
% 276.97/42.13 | (1921) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1621_3,
% 276.97/42.13 | all_1623_2)
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating (fact_xt1_I7_J) with all_1621_3, all_1623_0,
% 276.97/42.13 | all_1623_2, tc_RealDef_Oreal, simplifying with (114), (115),
% 276.97/42.13 | (416), (417), (1843), (1920), (1921) gives:
% 276.97/42.13 | (1922) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1621_3,
% 276.97/42.13 | all_1623_0)
% 276.97/42.13 |
% 276.97/42.13 | GROUND_INST: instantiating
% 276.97/42.13 | (fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J)
% 276.97/42.13 | with all_995_0, tc_RealDef_Oreal, all_983_2, all_1623_12,
% 276.97/42.13 | all_744_0, all_1623_0, simplifying with (113), (115), (126),
% 276.97/42.13 | (158), (1333), (1616), (1620) gives:
% 276.97/42.13 | (1923) all_1623_0 = all_995_0
% 276.97/42.13 |
% 276.97/42.13 | REDUCE: (1922), (1923) imply:
% 276.97/42.13 | (1924) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1621_3,
% 276.97/42.13 | all_995_0)
% 276.97/42.13 |
% 276.97/42.13 | PRED_UNIFY: (1621), (1924) imply:
% 276.97/42.13 | (1925) $false
% 276.97/42.13 |
% 276.97/42.14 | CLOSE: (1925) is inconsistent.
% 276.97/42.14 |
% 276.97/42.14 End of proof
% 276.97/42.14 % SZS output end Proof for theBenchmark
% 276.97/42.14
% 276.97/42.14 41511ms
%------------------------------------------------------------------------------