0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.08 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xS0U3DyXmm true 0.12/0.39 % Computer : n004.cluster.edu 0.12/0.39 % Model : x86_64 x86_64 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.39 % Memory : 8046.5625MB 0.12/0.39 % OS : Linux 6.8.0-71-generic 0.12/0.39 % CPULimit : 1440 0.12/0.39 % WCLimit : 180 0.12/0.39 % DateTime : Mon Jul 27 14:20:23 UTC 2026 0.12/0.40 % CPUTime : 0.12/0.40 % Running portfolio for 1440 s 0.12/0.40 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.12/0.40 % Number of cores: 8 0.12/0.40 % Python version: Python 3.12.3 0.12/0.41 % Running in HO mode 0.32/0.70 % Total configuration time : 828 0.32/0.70 % Estimated wc time : 1656 0.32/0.70 % Estimated cpu time (8 cpus) : 207.0 0.32/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.32/0.82 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.32/0.83 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.32/0.83 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.32/0.83 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.32/0.83 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.32/0.83 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.32/0.88 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 221.92/30.88 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 271.50/40.50 % Solved by lams/40_c_ic.sh. 271.50/40.50 % done 2691 iterations in 39.594s 271.50/40.50 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 271.50/40.50 % SZS output start Refutation 271.50/40.50 thf(setadjoinAx_type, type, setadjoinAx: $o). 271.50/40.50 thf(cartprodfstpairEq_type, type, cartprodfstpairEq: $o). 271.50/40.50 thf(notdexE_type, type, notdexE: $o). 271.50/40.50 thf(setunionAx_type, type, setunionAx: $o). 271.50/40.50 thf(setminusELneg_type, type, setminusELneg: $o). 271.50/40.50 thf(funcGraphProp1_type, type, funcGraphProp1: $o). 271.50/40.50 thf(beta1_type, type, beta1: $o). 271.50/40.50 thf(powersetE_type, type, powersetE: $o). 271.50/40.50 thf(doubleComplementE1_type, type, doubleComplementE1: $o). 271.50/40.50 thf(omegaSAx_type, type, omegaSAx: $o). 271.50/40.50 thf(doubleComplementI1_type, type, doubleComplementI1: $o). 271.50/40.50 thf(exuI1_type, type, exuI1: $o). 271.50/40.50 thf(binunionTEcontra_type, type, binunionTEcontra: $o). 271.50/40.50 thf(exuI2_type, type, exuI2: $o). 271.50/40.50 thf(notequalI2_type, type, notequalI2: $o). 271.50/40.50 thf(kfstsingleton_type, type, kfstsingleton: $o). 271.50/40.50 thf(demorgan1b_type, type, demorgan1b: $o). 271.50/40.50 thf(kpairiskpair_type, type, kpairiskpair: $o). 271.50/40.50 thf(demorgan2a_type, type, demorgan2a: $o). 271.50/40.50 thf(subsetTI_type, type, subsetTI: $o). 271.50/40.50 thf(upairsubunion_type, type, upairsubunion: $o). 271.50/40.50 thf(binintersectT_lem_type, type, binintersectT_lem: $o). 271.50/40.50 thf(funcGraphProp4_type, type, funcGraphProp4: $o). 271.50/40.50 thf(powerset__Cong_type, type, powerset__Cong: $o). 271.50/40.50 thf(complementImpComplementIntersect_type, type, complementImpComplementIntersect: 271.50/40.50 $o). 271.50/40.50 thf(setukpairinjR2_type, type, setukpairinjR2: $o). 271.50/40.50 thf(singletonsuniq_type, type, singletonsuniq: $o). 271.50/40.50 thf(binunionT_lem_type, type, binunionT_lem: $o). 271.50/40.50 thf(inIntersectImpInUnion2_type, type, inIntersectImpInUnion2: $o). 271.50/40.50 thf(setminusILneg_type, type, setminusILneg: $o). 271.50/40.50 thf(complementTcontraSubset_type, type, complementTcontraSubset: $o). 271.50/40.50 thf(funcinfuncset_type, type, funcinfuncset: $o). 271.50/40.50 thf(wellorderingAx_type, type, wellorderingAx: $o). 271.50/40.50 thf(kpairsurjEq_type, type, kpairsurjEq: $o). 271.50/40.50 thf(setadjoinSub2_type, type, setadjoinSub2: $o). 271.50/40.50 thf(binintersectSubset5_type, type, binintersectSubset5: $o). 271.50/40.50 thf(brelnall1_type, type, brelnall1: $o). 271.50/40.50 thf(upairinpowunion_type, type, upairinpowunion: $o). 271.50/40.50 thf(doubleComplementEq_type, type, doubleComplementEq: $o). 271.50/40.50 thf(setoftrueEq_type, type, setoftrueEq: $o). 271.50/40.50 thf(complementT_lem_type, type, complementT_lem: $o). 271.50/40.50 thf(funcextLem_type, type, funcextLem: $o). 271.50/40.50 thf(sk__84_type, type, sk__84: $i > $i > $i). 271.50/40.50 thf(iftrueorfalse_type, type, iftrueorfalse: $o). 271.50/40.50 thf(emptyset__Cong_type, type, emptyset__Cong: $o). 271.50/40.50 thf(funcImageSingleton_type, type, funcImageSingleton: $o). 271.50/40.50 thf(cartprodmempaircEq_type, type, cartprodmempaircEq: $o). 271.50/40.50 thf(demorgan2b2_type, type, demorgan2b2: $o). 271.50/40.50 thf(demorgan2b_type, type, demorgan2b: $o). 271.50/40.50 thf(dpsetconstrI_type, type, dpsetconstrI: $o). 271.50/40.50 thf(ex1E1_type, type, ex1E1: $o). 271.50/40.50 thf(sepInPowerset_type, type, sepInPowerset: $o). 271.50/40.50 thf(setukpairIR_type, type, setukpairIR: $o). 271.50/40.50 thf(kpair_type, type, kpair: $i > $i > $i). 271.50/40.50 thf(binunionE_type, type, binunionE: $o). 271.50/40.50 thf(setext_type, type, setext: $o). 271.50/40.50 thf(lam2p_type, type, lam2p: $o). 271.50/40.50 thf(emptyinPowerset_type, type, emptyinPowerset: $o). 271.50/40.50 thf(breln1_type, type, breln1: $i > $i > $o). 271.50/40.50 thf(ubforcartprodlem1_type, type, ubforcartprodlem1: $o). 271.50/40.50 thf(binintersectTERcontra_type, type, binintersectTERcontra: $o). 271.50/40.50 thf(theeq_type, type, theeq: $o). 271.50/40.50 thf(descr__Cong_type, type, descr__Cong: $o). 271.50/40.50 thf(theprop_type, type, theprop: $o). 271.50/40.50 thf(complementInPowersetComplementIntersect_type, type, complementInPowersetComplementIntersect: 271.50/40.50 $o). 271.50/40.50 thf(complementTnotintersectT_type, type, complementTnotintersectT: $o). 271.50/40.50 thf(binintersectSubset1_type, type, binintersectSubset1: $o). 271.50/40.50 thf(infuncsetfunc_type, type, infuncsetfunc: $o). 271.50/40.50 thf(in_type, type, in: $i > $i > $o). 271.50/40.50 thf(lamProp_type, type, lamProp: $o). 271.50/40.50 thf(cartprodsndpairEq_type, type, cartprodsndpairEq: $o). 271.50/40.50 thf(quantDeMorgan1_type, type, quantDeMorgan1: $o). 271.50/40.50 thf(setextT_type, type, setextT: $o). 271.50/40.50 thf(setukpairinjL2_type, type, setukpairinjL2: $o). 271.50/40.50 thf(binunion_type, type, binunion: $i > $i > $i). 271.50/40.50 thf(setOfPairsIsBReln_type, type, setOfPairsIsBReln: $o). 271.50/40.50 thf(setadjoinIR_type, type, setadjoinIR: $o). 271.50/40.50 thf(funcGraphProp3_type, type, funcGraphProp3: $o). 271.50/40.50 thf(sk__82_type, type, sk__82: ($i > $o) > $i > $i > $i). 271.50/40.50 thf(ap2p_type, type, ap2p: $o). 271.50/40.50 thf(eqbreln_type, type, eqbreln: $o). 271.50/40.50 thf(setadjoin__Cong_type, type, setadjoin__Cong: $o). 271.50/40.50 thf(ksndpairEq_type, type, ksndpairEq: $o). 271.50/40.50 thf(ex1I2_type, type, ex1I2: $o). 271.50/40.50 thf(dpsetconstrEL2_type, type, dpsetconstrEL2: $o). 271.50/40.50 thf(woz1_1_type, type, woz1_1: $o). 271.50/40.50 thf(demorgan1_type, type, demorgan1: $o). 271.50/40.50 thf(binintersectTELcontra_type, type, binintersectTELcontra: $o). 271.50/40.50 thf(symdiffI2_type, type, symdiffI2: $o). 271.50/40.50 thf(upairset2IR_type, type, upairset2IR: $o). 271.50/40.50 thf(subsetE_type, type, subsetE: $o). 271.50/40.50 thf(prop2set2propI_type, type, prop2set2propI: $o). 271.50/40.50 thf(doubleComplementSub1_type, type, doubleComplementSub1: $o). 271.50/40.50 thf(dsetconstrEL_type, type, dsetconstrEL: $o). 271.50/40.50 thf(setbeta_type, type, setbeta: $o). 271.50/40.50 thf(binunionTE_type, type, binunionTE: $o). 271.50/40.50 thf(eqinunit_type, type, eqinunit: $o). 271.50/40.50 thf(upairsetIL_type, type, upairsetIL: $o). 271.50/40.50 thf(powersetI1_type, type, powersetI1: $o). 271.50/40.50 thf(cartprodfstin_type, type, cartprodfstin: $o). 271.50/40.50 thf(iftrueProp1_type, type, iftrueProp1: $o). 271.50/40.50 thf(powersetTE1_type, type, powersetTE1: $o). 271.50/40.50 thf(binintersectSubset3_type, type, binintersectSubset3: $o). 271.50/40.50 thf(app_type, type, app: $o). 271.50/40.50 thf(ksndsingleton_type, type, ksndsingleton: $o). 271.50/40.50 thf(setminusIRneg_type, type, setminusIRneg: $o). 271.50/40.50 thf(inComplementUnionImpInComplement1_type, type, inComplementUnionImpInComplement1: 271.50/40.50 $o). 271.50/40.50 thf(powersetAx_type, type, powersetAx: $o). 271.50/40.50 thf(lamp_type, type, lamp: $o). 271.50/40.50 thf(binintersectSubset4_type, type, binintersectSubset4: $o). 271.50/40.50 thf(ifSingleton_type, type, ifSingleton: $o). 271.50/40.50 thf(iffalse_type, type, iffalse: $o). 271.50/40.50 thf(singletoninpowunion_type, type, singletoninpowunion: $o). 271.50/40.50 thf(inIntersectImpInUnion_type, type, inIntersectImpInUnion: $o). 271.50/40.50 thf(powersetI_type, type, powersetI: $o). 271.50/40.50 thf(cartprodmempair_type, type, cartprodmempair: $o). 271.50/40.50 thf(upairsetIR_type, type, upairsetIR: $o). 271.50/40.50 thf(cartprodpairsurjEq_type, type, cartprodpairsurjEq: $o). 271.50/40.50 thf(cartprodpairmemEL_type, type, cartprodpairmemEL: $o). 271.50/40.50 thf(funcext2_type, type, funcext2: $o). 271.50/40.50 thf(inCongP_type, type, inCongP: $o). 271.50/40.50 thf(setukpairinjR11_type, type, setukpairinjR11: $o). 271.50/40.50 thf(setadjoinSub_type, type, setadjoinSub: $o). 271.50/40.50 thf(exuE3e_type, type, exuE3e: $o). 271.50/40.50 thf(emptysetE_type, type, emptysetE: $o). 271.50/40.50 thf(binintersectSubset2_type, type, binintersectSubset2: $o). 271.50/40.50 thf(setunionI_type, type, setunionI: $o). 271.50/40.50 thf(setunion__Cong_type, type, setunion__Cong: $o). 271.50/40.50 thf(prop2setI_type, type, prop2setI: $o). 271.50/40.50 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o). 271.50/40.50 thf(setminusER_type, type, setminusER: $o). 271.50/40.50 thf(exuE2_type, type, exuE2: $o). 271.50/40.50 thf(dpsetconstrEL1_type, type, dpsetconstrEL1: $o). 271.50/40.50 thf(emptyset_type, type, emptyset: $i). 271.50/40.50 thf(setukpairinjR12_type, type, setukpairinjR12: $o). 271.50/40.50 thf(binunionTILcontra_type, type, binunionTILcontra: $o). 271.50/40.50 thf(complementTI1_type, type, complementTI1: $o). 271.50/40.50 thf(inComplementUnionImpNotIn1_type, type, inComplementUnionImpNotIn1: $o). 271.50/40.50 thf(breln_type, type, breln: $i > $i > $i > $o). 271.50/40.50 thf(dpsetconstrER_type, type, dpsetconstrER: $o). 271.50/40.50 thf(powersetsubset_type, type, powersetsubset: $o). 271.50/40.50 thf(upairequniteq_type, type, upairequniteq: $o). 271.50/40.50 thf(woz1_4_type, type, woz1_4: $o). 271.50/40.50 thf(subPowSU_type, type, subPowSU: $o). 271.50/40.50 thf(notequalI1_type, type, notequalI1: $o). 271.50/40.50 thf(notinemptyset_type, type, notinemptyset: $o). 271.50/40.50 thf(nonemptyI1_type, type, nonemptyI1: $o). 271.50/40.50 thf(subsetTrans_type, type, subsetTrans: $o). 271.50/40.50 thf(setukpairinjR_type, type, setukpairinjR: $o). 271.50/40.50 thf(kpairp_type, type, kpairp: $o). 271.50/40.50 thf(setukpairinjR1_type, type, setukpairinjR1: $o). 271.50/40.50 thf(setminusI_type, type, setminusI: $o). 271.50/40.50 thf(eta1_type, type, eta1: $o). 271.50/40.50 thf(binunionIL_type, type, binunionIL: $o). 271.50/40.50 thf(setukpairinjL1_type, type, setukpairinjL1: $o). 271.50/40.50 thf(setunionsingleton_type, type, setunionsingleton: $o). 271.50/40.50 thf(contrasubsetT1_type, type, contrasubsetT1: $o). 271.50/40.50 thf(subsetE2_type, type, subsetE2: $o). 271.50/40.50 thf(singletonsswitch_type, type, singletonsswitch: $o). 271.50/40.50 thf(ubforcartprodlem3_type, type, ubforcartprodlem3: $o). 271.50/40.50 thf(eta2_type, type, eta2: $o). 271.50/40.50 thf(contrasubsetT3_type, type, contrasubsetT3: $o). 271.50/40.50 thf(setextsub_type, type, setextsub: $o). 271.50/40.50 thf(binunionLsub_type, type, binunionLsub: $o). 271.50/40.50 thf(setunionsingleton1_type, type, setunionsingleton1: $o). 271.50/40.50 thf(emptysetsubset_type, type, emptysetsubset: $o). 271.50/40.50 thf(sk__77_type, type, sk__77: $i). 271.50/40.50 thf(quantDeMorgan3_type, type, quantDeMorgan3: $o). 271.50/40.50 thf(setunionE_type, type, setunionE: $o). 271.50/40.50 thf(setminusSubset1_type, type, setminusSubset1: $o). 271.50/40.50 thf(setminusT_lem_type, type, setminusT_lem: $o). 271.50/40.50 thf(emptyinunitempty_type, type, emptyinunitempty: $o). 271.50/40.50 thf(binunionIR_type, type, binunionIR: $o). 271.50/40.50 thf(iftrue_type, type, iftrue: $o). 271.50/40.50 thf(setadjoinE_type, type, setadjoinE: $o). 271.50/40.50 thf(doubleComplementSub2_type, type, doubleComplementSub2: $o). 271.50/40.50 thf(woz1_5_type, type, woz1_5: $o). 271.50/40.50 thf(cartprodpairmemER_type, type, cartprodpairmemER: $o). 271.50/40.50 thf(beta2_type, type, beta2: $o). 271.50/40.50 thf(complementSubsetComplementIntersect_type, type, complementSubsetComplementIntersect: 271.50/40.50 $o). 271.50/40.50 thf(brelnall2_type, type, brelnall2: $o). 271.50/40.50 thf(setadjoinIL_type, type, setadjoinIL: $o). 271.50/40.50 thf(exuE1_type, type, exuE1: $o). 271.50/40.50 thf(ubforcartprodlem2_type, type, ubforcartprodlem2: $o). 271.50/40.50 thf(binintersectRsub_type, type, binintersectRsub: $o). 271.50/40.50 thf(ifp_type, type, ifp: $o). 271.50/40.50 thf(setminusLsub_type, type, setminusLsub: $o). 271.50/40.50 thf(woz1_3_type, type, woz1_3: $o). 271.50/40.50 thf(notinsingleton_type, type, notinsingleton: $o). 271.50/40.50 thf(dpsetconstr_type, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i). 271.50/40.50 thf(eqimpsubset2_type, type, eqimpsubset2: $o). 271.50/40.50 thf(exuEu_type, type, exuEu: $o). 271.50/40.50 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o). 271.50/40.50 thf(upairsetE_type, type, upairsetE: $o). 271.50/40.50 thf(omega0Ax_type, type, omega0Ax: $o). 271.50/40.50 thf(complementTE1_type, type, complementTE1: $o). 271.50/40.50 thf(contrasubsetT2_type, type, contrasubsetT2: $o). 271.50/40.50 thf(notsubsetI_type, type, notsubsetI: $o). 271.50/40.50 thf(intersectInPowersetIntersectUnions_type, type, intersectInPowersetIntersectUnions: 271.50/40.50 $o). 271.50/40.50 thf(quantDeMorgan4_type, type, quantDeMorgan4: $o). 271.50/40.50 thf(setextAx_type, type, setextAx: $o). 271.50/40.50 thf(setOfPairsIsBReln1_type, type, setOfPairsIsBReln1: $o). 271.50/40.50 thf(breln1SetBreln1_type, type, breln1SetBreln1: $o). 271.50/40.50 thf(powersetE1_type, type, powersetE1: $o). 271.50/40.50 thf(bs114d_type, type, bs114d: $o). 271.50/40.50 thf(breln1all2_type, type, breln1all2: $o). 271.50/40.50 thf(woz13rule0_type, type, woz13rule0: $o). 271.50/40.50 thf(noeltsimpempty_type, type, noeltsimpempty: $o). 271.50/40.50 thf(contraSubsetComplement_type, type, contraSubsetComplement: $o). 271.50/40.50 thf(woz1_2_type, type, woz1_2: $o). 271.50/40.50 thf(binintersectLsub_type, type, binintersectLsub: $o). 271.50/40.50 thf(subsetI1_type, type, subsetI1: $o). 271.50/40.50 thf(symdiffE_type, type, symdiffE: $o). 271.50/40.50 thf(descrp_type, type, descrp: $o). 271.50/40.50 thf(dsetconstr__Cong_type, type, dsetconstr__Cong: $o). 271.50/40.50 thf(foundationAx_type, type, foundationAx: $o). 271.50/40.50 thf(emptysetAx_type, type, emptysetAx: $o). 271.50/40.50 thf(emptyI_type, type, emptyI: $o). 271.50/40.50 thf(setadjoinOr_type, type, setadjoinOr: $o). 271.50/40.50 thf(binintersectEL_type, type, binintersectEL: $o). 271.50/40.50 thf(emptyE1_type, type, emptyE1: $o). 271.50/40.50 thf(emptyInPowerset_type, type, emptyInPowerset: $o). 271.50/40.50 thf(demorgan2_type, type, demorgan2: $o). 271.50/40.50 thf(vacuousDall_type, type, vacuousDall: $o). 271.50/40.50 thf(dsetconstrER_type, type, dsetconstrER: $o). 271.50/40.50 thf(funcGraphProp2_type, type, funcGraphProp2: $o). 271.50/40.50 thf(ex1E2_type, type, ex1E2: $o). 271.50/40.50 thf(binintersectI_type, type, binintersectI: $o). 271.50/40.50 thf(woz13rule3_type, type, woz13rule3: $o). 271.50/40.50 thf(iffalseProp2_type, type, iffalseProp2: $o). 271.50/40.50 thf(woz13rule2_type, type, woz13rule2: $o). 271.50/40.50 thf(cartprodpairin_type, type, cartprodpairin: $o). 271.50/40.50 thf(lam2lamEq_type, type, lam2lamEq: $o). 271.50/40.50 thf(choice2fnsingleton_type, type, choice2fnsingleton: $o). 271.50/40.50 thf(apProp_type, type, apProp: $o). 271.50/40.50 thf(dpsetconstrSub_type, type, dpsetconstrSub: $o). 271.50/40.50 thf(cartprodmempair1_type, type, cartprodmempair1: $o). 271.50/40.50 thf(iffalseProp1_type, type, iffalseProp1: $o). 271.50/40.50 thf(demorgan2a2_type, type, demorgan2a2: $o). 271.50/40.50 thf(powersetT_lem_type, type, powersetT_lem: $o). 271.50/40.50 thf(symdiffI1_type, type, symdiffI1: $o). 271.50/40.50 thf(kfstpairEq_type, type, kfstpairEq: $o). 271.50/40.50 thf(subsetI2_type, type, subsetI2: $o). 271.50/40.50 thf(sk__76_type, type, sk__76: $i). 271.50/40.50 thf(symdiffIneg1_type, type, symdiffIneg1: $o). 271.50/40.50 thf(setminusERneg_type, type, setminusERneg: $o). 271.50/40.50 thf(symdiffIneg2_type, type, symdiffIneg2: $o). 271.50/40.50 thf(omega__Cong_type, type, omega__Cong: $o). 271.50/40.50 thf(subsetRefl_type, type, subsetRefl: $o). 271.50/40.50 thf(uniqinunit_type, type, uniqinunit: $o). 271.50/40.50 thf(setminusSubset2_type, type, setminusSubset2: $o). 271.50/40.50 thf(prop2setE_type, type, prop2setE: $o). 271.50/40.50 thf(binunionEcases_type, type, binunionEcases: $o). 271.50/40.50 thf(sk__81_type, type, sk__81: ($i > $o) > $i > $i > $i). 271.50/40.50 thf(inIntersectImpInIntersectUnions_type, type, inIntersectImpInIntersectUnions: 271.50/40.50 $o). 271.50/40.50 thf(nonemptyI_type, type, nonemptyI: $o). 271.50/40.50 thf(sk__78_type, type, sk__78: $i). 271.50/40.50 thf(binunionTIRcontra_type, type, binunionTIRcontra: $o). 271.50/40.50 thf(disjointsetsI1_type, type, disjointsetsI1: $o). 271.50/40.50 thf(exuE3u_type, type, exuE3u: $o). 271.50/40.50 thf(setminusEL_type, type, setminusEL: $o). 271.50/40.50 thf(woz13rule4_type, type, woz13rule4: $o). 271.50/40.50 thf(breln1all1_type, type, breln1all1: $o). 271.50/40.50 thf(setunionsingleton2_type, type, setunionsingleton2: $o). 271.50/40.50 thf(sepSubset_type, type, sepSubset: $o). 271.50/40.50 thf(upairset2E_type, type, upairset2E: $o). 271.50/40.50 thf(eqimpsubset1_type, type, eqimpsubset1: $o). 271.50/40.50 thf(woz13rule1_type, type, woz13rule1: $o). 271.50/40.50 thf(exuI3_type, type, exuI3: $o). 271.50/40.50 thf(notdallE_type, type, notdallE: $o). 271.50/40.50 thf(demorgan1a_type, type, demorgan1a: $o). 271.50/40.50 thf(binintersectER_type, type, binintersectER: $o). 271.50/40.50 thf(powerset_type, type, powerset: $i > $i). 271.50/40.50 thf(ap2apEq2_type, type, ap2apEq2: $o). 271.50/40.50 thf(dsetconstrI_type, type, dsetconstrI: $o). 271.50/40.50 thf(subbreln_type, type, subbreln: $o). 271.50/40.50 thf(exu__Cong_type, type, exu__Cong: $o). 271.50/40.50 thf(iftrueProp2_type, type, iftrueProp2: $o). 271.50/40.50 thf(cartprodsndin_type, type, cartprodsndin: $o). 271.50/40.50 thf(contrasubsetT_type, type, contrasubsetT: $o). 271.50/40.50 thf(powersetTI1_type, type, powersetTI1: $o). 271.50/40.50 thf(funcext_type, type, funcext: $o). 271.50/40.50 thf(quantDeMorgan2_type, type, quantDeMorgan2: $o). 271.50/40.50 thf(ex1I_type, type, ex1I: $o). 271.50/40.50 thf(secondinupair_type, type, secondinupair: $o). 271.50/40.50 thf(singletonprop_type, type, singletonprop: $o). 271.50/40.50 thf(singletonsubset_type, type, singletonsubset: $o). 271.50/40.50 thf(singletoninpowerset_type, type, singletoninpowerset: $o). 271.50/40.50 thf(subsetemptysetimpeq_type, type, subsetemptysetimpeq: $o). 271.50/40.50 thf(replAx_type, type, replAx: $o). 271.50/40.50 thf(nonemptyE1_type, type, nonemptyE1: $o). 271.50/40.50 thf(omegaIndAx_type, type, omegaIndAx: $o). 271.50/40.50 thf(setukpairIL_type, type, setukpairIL: $o). 271.50/40.50 thf(setunionE2_type, type, setunionE2: $o). 271.50/40.50 thf(inPowerset_type, type, inPowerset: $o). 271.50/40.50 thf(demorgan2a1_type, type, demorgan2a1: $o). 271.50/40.50 thf(subset_type, type, subset: $i > $i > $o). 271.50/40.50 thf(complementUnionInPowersetComplement_type, type, complementUnionInPowersetComplement: 271.50/40.50 $o). 271.50/40.50 thf(in__Cong_type, type, in__Cong: $o). 271.50/40.50 thf(dpsetconstrERa_type, type, dpsetconstrERa: $o). 271.50/40.50 thf(setukpairinjL_type, type, setukpairinjL: $o). 271.50/40.50 thf(binunionRsub_type, type, binunionRsub: $o). 271.50/40.50 thf(subset2powerset_type, type, subset2powerset: $o). 271.50/40.50 thf(ap2apEq1_type, type, ap2apEq1: $o). 271.50/40.50 thf(breln1all1, axiom, breln1all1 = 271.50/40.50 (![A:$i,R:$i]: 271.50/40.50 ( ( breln1 @ A @ R ) => 271.50/40.50 ( ![Xphi:( $i > $o )]: 271.50/40.50 ( ( ![Xx:$i]: 271.50/40.50 ( ( in @ Xx @ A ) => 271.50/40.50 ( ![Xy:$i]: 271.50/40.50 ( ( in @ Xy @ A ) => 271.50/40.50 ( ( in @ ( kpair @ Xx @ Xy ) @ R ) => 271.50/40.50 ( Xphi @ ( kpair @ Xx @ Xy ) ) ) ) ) ) ) => 271.50/40.50 ( ![Xx:$i]: ( ( in @ Xx @ R ) => ( Xphi @ Xx ) ) ) ) ) ))). 271.50/40.50 thf('0', plain, 271.50/40.50 (( breln1all1 ) = 271.50/40.50 ( ![X4:$i,X6:$i]: 271.50/40.50 ( ( breln1 @ X4 @ X6 ) => 271.50/40.50 ( ![X8:( $i > $o )]: 271.50/40.50 ( ( ![X10:$i]: 271.50/40.50 ( ( in @ X10 @ X4 ) => 271.50/40.50 ( ![X12:$i]: 271.50/40.50 ( ( in @ X12 @ X4 ) => 271.50/40.50 ( ( in @ ( kpair @ X10 @ X12 ) @ X6 ) => 271.50/40.50 ( X8 @ ( kpair @ X10 @ X12 ) ) ) ) ) ) ) => 271.50/40.50 ( ![X14:$i]: ( ( in @ X14 @ X6 ) => ( X8 @ X14 ) ) ) ) ) ) )), 271.50/40.50 define([status(thm)])). 271.50/40.50 thf(setOfPairsIsBReln1, axiom, setOfPairsIsBReln1 = 271.50/40.50 (![A:$i,Xphi:( $i > $i > $o )]: 271.50/40.50 ( breln1 @ 271.50/40.50 A @ ( dpsetconstr @ A @ A @ ( ^[Xx:$i,Xy:$i]: ( Xphi @ Xx @ Xy ) ) ) ))). 271.50/40.50 thf('1', plain, 271.50/40.50 (( setOfPairsIsBReln1 ) = 271.50/40.50 ( ![X4:$i,X6:( $i > $i > $o )]: 271.50/40.50 ( breln1 @ 271.50/40.50 X4 @ 271.50/40.50 ( dpsetconstr @ X4 @ X4 @ ( ^[V_1:$i,V_2:$i]: ( X6 @ V_1 @ V_2 ) ) ) ) )), 271.50/40.50 define([status(thm)])). 271.50/40.50 thf(breln1all2, axiom, breln1all2 = 271.50/40.50 (![A:$i,R:$i]: 271.50/40.50 ( ( breln1 @ A @ R ) => 271.50/40.50 ( ![Xphi:( $i > $o )]: 271.50/40.50 ( ( ![Xx:$i]: 271.50/40.50 ( ( in @ Xx @ A ) => 271.50/40.50 ( ![Xy:$i]: 271.50/40.50 ( ( in @ Xy @ A ) => 271.50/40.50 ( ( in @ ( kpair @ Xx @ Xy ) @ R ) => 271.50/40.50 ( Xphi @ ( kpair @ Xx @ Xy ) ) ) ) ) ) ) => 271.50/40.50 ( ![Xx:$i]: ( ( in @ Xx @ R ) => ( Xphi @ Xx ) ) ) ) ) ))). 271.50/40.50 thf('2', plain, 271.50/40.50 (( breln1all2 ) = 271.50/40.50 ( ![X4:$i,X6:$i]: 271.50/40.50 ( ( breln1 @ X4 @ X6 ) => 271.50/40.50 ( ![X8:( $i > $o )]: 271.50/40.50 ( ( ![X10:$i]: 271.50/40.50 ( ( in @ X10 @ X4 ) => 271.50/40.50 ( ![X12:$i]: 271.50/40.50 ( ( in @ X12 @ X4 ) => 271.50/40.50 ( ( in @ ( kpair @ X10 @ X12 ) @ X6 ) => 271.50/40.50 ( X8 @ ( kpair @ X10 @ X12 ) ) ) ) ) ) ) => 271.50/40.50 ( ![X14:$i]: ( ( in @ X14 @ X6 ) => ( X8 @ X14 ) ) ) ) ) ) )), 271.50/40.50 define([status(thm)])). 271.50/40.50 thf(breln1, axiom,(( breln1 ) = (^[A:$i,R:$i]: ( breln @ A @ A @ R )))). 271.50/40.50 thf('3', plain, (( breln1 ) = ( ^[A:$i,R:$i]: ( breln @ A @ A @ R ) )), 271.50/40.50 inference('simplify_rw_rule', [status(thm)], [breln1])). 271.50/40.50 thf('4', plain, 271.50/40.50 (( breln1 ) = ( ^[V_1:$i,V_2:$i]: ( breln @ V_1 @ V_1 @ V_2 ) )), 271.50/40.50 define([status(thm)])). 271.50/40.50 thf(contrasubsetT1, axiom, contrasubsetT1 = 271.50/40.50 (![A:$i,X:$i]: 271.50/40.50 ( ( in @ X @ ( powerset @ A ) ) => 271.50/40.50 ( ![Y:$i]: 271.50/40.50 ( ( in @ Y @ ( powerset @ A ) ) => 271.50/40.50 ( ![Xx:$i]: 271.50/40.50 ( ( in @ Xx @ A ) => 271.50/40.50 ( ( subset @ X @ Y ) => 271.50/40.50 ( ( ~( in @ Xx @ Y ) ) => ( ~( in @ Xx @ X ) ) ) ) ) ) ) ) ))). 271.50/40.50 thf('5', plain, 271.50/40.50 (( contrasubsetT1 ) = 271.50/40.50 ( ![X4:$i,X6:$i]: 271.50/40.50 ( ( in @ X6 @ ( powerset @ X4 ) ) => 271.50/40.50 ( ![X8:$i]: 271.50/40.50 ( ( in @ X8 @ ( powerset @ X4 ) ) => 271.50/40.50 ( ![X10:$i]: 271.50/40.50 ( ( in @ X10 @ X4 ) => 271.50/40.50 ( ( subset @ X6 @ X8 ) => 271.50/40.50 ( ( ~( in @ X10 @ X8 ) ) => ( ~( in @ X10 @ X6 ) ) ) ) ) ) ) ) ) )), 271.50/40.50 define([status(thm)])). 271.50/40.50 thf(subsetTI, axiom, subsetTI = 271.50/40.50 (![A:$i,X:$i]: 271.50/40.50 ( ( in @ X @ ( powerset @ A ) ) => 271.50/40.50 ( ![Y:$i]: 271.50/40.50 ( ( in @ Y @ ( powerset @ A ) ) => 271.50/40.50 ( ( ![Xx:$i]: 271.50/40.50 ( ( in @ Xx @ A ) => ( ( in @ Xx @ X ) => ( in @ Xx @ Y ) ) ) ) => 271.50/40.50 ( subset @ X @ Y ) ) ) ) ))). 271.50/40.50 thf('6', plain, 271.50/40.50 (( subsetTI ) = 271.50/40.50 ( ![X4:$i,X6:$i]: 271.50/40.50 ( ( in @ X6 @ ( powerset @ X4 ) ) => 271.50/40.50 ( ![X8:$i]: 271.50/40.50 ( ( in @ X8 @ ( powerset @ X4 ) ) => 271.50/40.50 ( ( ![X10:$i]: 271.50/40.50 ( ( in @ X10 @ X4 ) => 271.50/40.50 ( ( in @ X10 @ X6 ) => ( in @ X10 @ X8 ) ) ) ) => 271.50/40.50 ( subset @ X6 @ X8 ) ) ) ) ) )), 271.50/40.50 define([status(thm)])). 271.50/40.50 thf(cartprodmempaircEq, axiom, cartprodmempaircEq = 271.50/40.50 (![A:$i,B:$i,Xx:$i]: 271.50/40.50 ( ( in @ Xx @ A ) => 271.50/40.50 ( ![Xy:$i]: 271.50/40.50 ( ( in @ Xy @ B ) => ( ( kpair @ Xx @ Xy ) = ( kpair @ Xx @ Xy ) ) ) ) ))). 271.50/40.50 thf('7', plain, 271.50/40.50 (( cartprodmempaircEq ) = 271.50/40.50 ( ![X4:$i,X6:$i,X8:$i]: 271.50/40.50 ( ( in @ X8 @ X4 ) => 271.50/40.50 ( ![X10:$i]: 271.50/40.50 ( ( in @ X10 @ X6 ) => 271.50/40.50 ( ( kpair @ X8 @ X10 ) = ( kpair @ X8 @ X10 ) ) ) ) ) )), 271.50/40.50 define([status(thm)])). 271.50/40.50 thf(setukpairinjR, axiom, setukpairinjR = 271.50/40.50 (![Xx:$i,Xy:$i,Xz:$i,Xu:$i]: 271.50/40.50 ( ( ( kpair @ Xx @ Xy ) = ( kpair @ Xz @ Xu ) ) => ( ( Xy ) = ( Xu ) ) ))). 271.50/40.50 thf('8', plain, 271.50/40.50 (( setukpairinjR ) = 271.50/40.50 ( ![X4:$i,X6:$i,X8:$i,X10:$i]: 271.50/40.50 ( ( ( kpair @ X4 @ X6 ) = ( kpair @ X8 @ X10 ) ) => 271.50/40.50 ( ( X6 ) = ( X10 ) ) ) )), 271.50/40.50 define([status(thm)])). 271.50/40.50 thf(setukpairinjL, axiom, setukpairinjL = 271.50/40.50 (![Xx:$i,Xy:$i,Xz:$i,Xu:$i]: 271.50/40.50 ( ( ( kpair @ Xx @ Xy ) = ( kpair @ Xz @ Xu ) ) => ( ( Xx ) = ( Xz ) ) ))). 271.50/40.50 thf('9', plain, 271.50/40.50 (( setukpairinjL ) = 271.50/40.50 ( ![X4:$i,X6:$i,X8:$i,X10:$i]: 271.50/40.50 ( ( ( kpair @ X4 @ X6 ) = ( kpair @ X8 @ X10 ) ) => 271.50/40.50 ( ( X4 ) = ( X8 ) ) ) )), 271.50/40.50 define([status(thm)])). 271.50/40.50 thf(ubforcartprodlem3, axiom, ubforcartprodlem3 = 271.50/40.50 (![A:$i,B:$i,Xx:$i]: 271.50/40.50 ( ( in @ Xx @ A ) => 271.50/40.50 ( ![Xy:$i]: 271.50/40.50 ( ( in @ Xy @ B ) => 271.50/40.50 ( in @ 271.50/40.50 ( kpair @ Xx @ Xy ) @ 271.50/40.50 ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ))). 271.50/40.50 thf('10', plain, 271.50/40.50 (( ubforcartprodlem3 ) = 271.50/40.50 ( ![X4:$i,X6:$i,X8:$i]: 271.50/40.50 ( ( in @ X8 @ X4 ) => 271.50/40.50 ( ![X10:$i]: 271.50/40.50 ( ( in @ X10 @ X6 ) => 271.50/40.50 ( in @ 271.50/40.50 ( kpair @ X8 @ X10 ) @ 271.50/40.50 ( powerset @ ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) ) )), 271.50/40.50 define([status(thm)])). 271.50/40.50 thf(powersetsubset, axiom, powersetsubset = 271.50/40.50 (![A:$i,B:$i]: 271.50/40.50 ( ( subset @ A @ B ) => ( subset @ ( powerset @ A ) @ ( powerset @ B ) ) ))). 271.50/40.50 thf('11', plain, 271.50/40.50 (( powersetsubset ) = 271.50/40.50 ( ![X4:$i,X6:$i]: 271.50/40.50 ( ( subset @ X4 @ X6 ) => 271.50/40.50 ( subset @ ( powerset @ X4 ) @ ( powerset @ X6 ) ) ) )), 271.50/40.50 define([status(thm)])). 271.50/40.50 thf(powersetE1, axiom, powersetE1 = 271.50/40.50 (![A:$i,B:$i]: ( ( in @ B @ ( powerset @ A ) ) => ( subset @ B @ A ) ))). 271.50/40.50 thf('12', plain, 271.50/40.50 (( powersetE1 ) = 271.50/40.50 ( ![X4:$i,X6:$i]: 271.50/40.50 ( ( in @ X6 @ ( powerset @ X4 ) ) => ( subset @ X6 @ X4 ) ) )), 271.50/40.50 define([status(thm)])). 271.50/40.50 thf(powersetI1, axiom, powersetI1 = 271.50/40.50 (![A:$i,B:$i]: ( ( subset @ B @ A ) => ( in @ B @ ( powerset @ A ) ) ))). 271.50/40.50 thf('13', plain, 271.50/40.50 (( powersetI1 ) = 271.50/40.50 ( ![X4:$i,X6:$i]: 271.50/40.50 ( ( subset @ X6 @ X4 ) => ( in @ X6 @ ( powerset @ X4 ) ) ) )), 271.50/40.50 define([status(thm)])). 271.50/40.50 thf(subsetemptysetimpeq, axiom, subsetemptysetimpeq = 271.50/40.50 (![A:$i]: ( ( subset @ A @ emptyset ) => ( ( A ) = ( emptyset ) ) ))). 271.50/40.50 thf('14', plain, 271.50/40.50 (( subsetemptysetimpeq ) = 271.50/40.50 ( ![X4:$i]: ( ( subset @ X4 @ emptyset ) => ( ( X4 ) = ( emptyset ) ) ) )), 271.50/40.50 define([status(thm)])). 271.50/40.50 thf(setextsub, axiom, setextsub = 271.50/40.50 (![A:$i,B:$i]: 271.50/40.50 ( ( subset @ A @ B ) => ( ( subset @ B @ A ) => ( ( A ) = ( B ) ) ) ))). 271.50/40.50 thf('15', plain, 271.50/40.50 (( setextsub ) = 271.50/40.50 ( ![X4:$i,X6:$i]: 271.50/40.50 ( ( subset @ X4 @ X6 ) => 271.50/40.50 ( ( subset @ X6 @ X4 ) => ( ( X4 ) = ( X6 ) ) ) ) )), 271.50/40.50 define([status(thm)])). 271.50/40.50 thf(subset2powerset, axiom, subset2powerset = 271.50/40.50 (![A:$i,B:$i]: ( ( subset @ A @ B ) => ( in @ A @ ( powerset @ B ) ) ))). 271.50/40.50 thf('16', plain, 271.50/40.50 (( subset2powerset ) = 271.50/40.50 ( ![X4:$i,X6:$i]: 271.50/40.50 ( ( subset @ X4 @ X6 ) => ( in @ X4 @ ( powerset @ X6 ) ) ) )), 271.50/40.50 define([status(thm)])). 271.50/40.50 thf(subsetTrans, axiom, subsetTrans = 271.50/40.50 (![A:$i,B:$i,C:$i]: 271.50/40.50 ( ( subset @ A @ B ) => ( ( subset @ B @ C ) => ( subset @ A @ C ) ) ))). 271.50/40.50 thf('17', plain, 271.50/40.50 (( subsetTrans ) = 271.50/40.50 ( ![X4:$i,X6:$i,X8:$i]: 271.50/40.50 ( ( subset @ X4 @ X6 ) => 271.50/40.50 ( ( subset @ X6 @ X8 ) => ( subset @ X4 @ X8 ) ) ) )), 271.50/40.50 define([status(thm)])). 271.50/40.50 thf(subsetRefl, axiom, subsetRefl = (![A:$i]: ( subset @ A @ A ))). 271.50/40.50 thf('18', plain, (( subsetRefl ) = ( ![X4:$i]: ( subset @ X4 @ X4 ) )), 271.50/40.50 define([status(thm)])). 271.50/40.50 thf(notequalI1, axiom, notequalI1 = 271.50/40.50 (![A:$i,B:$i]: ( ( ~( subset @ A @ B ) ) => ( ( A ) != ( B ) ) ))). 271.50/40.50 thf('19', plain, 271.50/40.50 (( notequalI1 ) = 271.50/40.50 ( ![X4:$i,X6:$i]: ( ( ~( subset @ X4 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) )), 271.50/40.50 define([status(thm)])). 271.50/40.50 thf(notsubsetI, axiom, notsubsetI = 271.50/40.50 (![A:$i,B:$i,Xx:$i]: 271.50/40.50 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ~( subset @ A @ B ) ) ) ))). 271.50/40.50 thf('20', plain, 271.50/40.50 (( notsubsetI ) = 271.50/40.50 ( ![X4:$i,X6:$i,X8:$i]: 271.50/40.50 ( ( in @ X8 @ X4 ) => 271.50/40.50 ( ( ~( in @ X8 @ X6 ) ) => ( ~( subset @ X4 @ X6 ) ) ) ) )), 271.50/40.50 define([status(thm)])). 271.50/40.50 thf(subsetE2, axiom, subsetE2 = 271.50/40.50 (![A:$i,B:$i,Xx:$i]: 271.50/40.50 ( ( subset @ A @ B ) => ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))). 271.50/40.50 thf('21', plain, 271.50/40.50 (( subsetE2 ) = 271.50/40.50 ( ![X4:$i,X6:$i,X8:$i]: 271.50/40.50 ( ( subset @ X4 @ X6 ) => 271.50/40.50 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )), 271.50/40.50 define([status(thm)])). 271.50/40.50 thf(subsetE, axiom, subsetE = 271.50/40.50 (![A:$i,B:$i,Xx:$i]: 271.50/40.50 ( ( subset @ A @ B ) => ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))). 271.50/40.50 thf('22', plain, 271.50/40.50 (( subsetE ) = 271.50/40.50 ( ![X4:$i,X6:$i,X8:$i]: 271.50/40.50 ( ( subset @ X4 @ X6 ) => ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )), 271.50/40.50 define([status(thm)])). 271.50/40.50 thf(emptysetsubset, axiom, emptysetsubset = 271.50/40.50 (![A:$i]: ( subset @ emptyset @ A ))). 271.50/40.50 thf('23', plain, 271.50/40.50 (( emptysetsubset ) = ( ![X4:$i]: ( subset @ emptyset @ X4 ) )), 271.50/40.50 define([status(thm)])). 271.50/40.50 thf(subsetI2, axiom, subsetI2 = 271.50/40.50 (![A:$i,B:$i]: 271.50/40.50 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 271.50/40.50 ( subset @ A @ B ) ))). 271.50/40.50 thf('24', plain, 271.50/40.50 (( subsetI2 ) = 271.50/40.50 ( ![X4:$i,X6:$i]: 271.50/40.50 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 271.50/40.50 ( subset @ X4 @ X6 ) ) )), 271.50/40.50 define([status(thm)])). 271.50/40.50 thf(eqimpsubset1, axiom, eqimpsubset1 = 271.50/40.50 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ A @ B ) ))). 271.50/40.50 thf('25', plain, 271.50/40.50 (( eqimpsubset1 ) = 271.50/40.50 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X4 @ X6 ) ) )), 271.50/40.50 define([status(thm)])). 271.50/40.50 thf(eqimpsubset2, axiom, eqimpsubset2 = 271.50/40.50 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ B @ A ) ))). 271.50/40.50 thf('26', plain, 271.50/40.50 (( eqimpsubset2 ) = 271.50/40.50 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X6 @ X4 ) ) )), 271.50/40.50 define([status(thm)])). 271.50/40.50 thf(subsetI1, axiom, subsetI1 = 271.50/40.50 (![A:$i,B:$i]: 271.50/40.50 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 271.50/40.50 ( subset @ A @ B ) ))). 271.50/40.50 thf('27', plain, 271.50/40.50 (( subsetI1 ) = 271.50/40.50 ( ![X4:$i,X6:$i]: 271.50/40.50 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 271.50/40.50 ( subset @ X4 @ X6 ) ) )), 271.50/40.50 define([status(thm)])). 271.50/40.50 thf(subbreln1, conjecture, 271.50/40.50 (( setextAx ) => 271.50/40.50 ( ( emptysetAx ) => 271.50/40.50 ( ( setadjoinAx ) => 271.50/40.50 ( ( powersetAx ) => 271.50/40.50 ( ( setunionAx ) => 271.50/40.50 ( ( omega0Ax ) => 271.50/40.50 ( ( omegaSAx ) => 271.50/40.50 ( ( omegaIndAx ) => 271.50/40.50 ( ( replAx ) => 271.50/40.50 ( ( foundationAx ) => 271.50/40.50 ( ( wellorderingAx ) => 271.50/40.50 ( ( descrp ) => 271.50/40.50 ( ( dsetconstrI ) => 271.50/40.50 ( ( dsetconstrEL ) => 271.50/40.50 ( ( dsetconstrER ) => 271.50/40.50 ( ( exuE1 ) => 271.50/40.50 ( ( prop2setE ) => 271.50/40.50 ( ( emptysetE ) => 271.50/40.50 ( ( emptysetimpfalse ) => 271.50/40.50 ( ( notinemptyset ) => 271.50/40.50 ( ( exuE3e ) => 271.50/40.50 ( ( setext ) => 271.50/40.50 ( ( emptyI ) => 271.50/40.50 ( ( noeltsimpempty ) => 271.50/40.50 ( ( setbeta ) => 271.50/40.50 ( ( nonemptyE1 ) => 271.50/40.50 ( ( nonemptyI ) => 271.50/40.50 ( ( nonemptyI1 ) => 271.50/40.50 ( ( setadjoinIL ) => 271.50/40.50 ( ( emptyinunitempty ) => 271.50/40.50 ( ( setadjoinIR ) => 271.50/40.50 ( ( setadjoinE ) => 271.50/40.50 ( ( 271.50/40.50 setadjoinOr ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setoftrueEq ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 powersetI ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 emptyinPowerset ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 emptyInPowerset ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 powersetE ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setunionI ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setunionE ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 subPowSU ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 exuE2 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 nonemptyImpWitness ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 uniqinunit ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 notinsingleton ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 eqinunit ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 singletonsswitch ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 upairsetE ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 upairsetIL ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 upairsetIR ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 emptyE1 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 vacuousDall ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 quantDeMorgan1 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 quantDeMorgan2 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 quantDeMorgan3 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 quantDeMorgan4 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 prop2setI ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 prop2set2propI ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 notdexE ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 notdallE ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 exuI1 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 exuI3 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 exuI2 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 inCongP ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 in__Cong ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 exuE3u ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 exu__Cong ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 emptyset__Cong ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setadjoin__Cong ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 powerset__Cong ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setunion__Cong ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 omega__Cong ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 exuEu ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 descr__Cong ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 dsetconstr__Cong ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 subsetI1 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 eqimpsubset2 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 eqimpsubset1 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 subsetI2 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 emptysetsubset ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 subsetE ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 subsetE2 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 notsubsetI ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 notequalI1 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 notequalI2 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 subsetRefl ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 subsetTrans ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setadjoinSub ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setadjoinSub2 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 subset2powerset ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setextsub ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 subsetemptysetimpeq ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 powersetI1 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 powersetE1 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 inPowerset ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 powersetsubset ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 sepInPowerset ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 sepSubset ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 binunionIL ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 upairset2IR ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 binunionIR ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 binunionEcases ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 binunionE ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 binunionLsub ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 binunionRsub ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 binintersectI ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 binintersectSubset5 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 binintersectEL ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 binintersectLsub ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 binintersectSubset2 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 binintersectSubset3 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 binintersectER ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 disjointsetsI1 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 binintersectRsub ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 binintersectSubset4 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 binintersectSubset1 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 bs114d ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setminusI ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setminusEL ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setminusER ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setminusSubset2 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setminusERneg ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setminusELneg ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setminusILneg ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setminusIRneg ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setminusLsub ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setminusSubset1 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 symdiffE ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 symdiffI1 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 symdiffI2 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 symdiffIneg1 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 symdiffIneg2 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 secondinupair ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setukpairIL ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setukpairIR ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 kpairiskpair ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 kpairp ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 singletonsubset ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 singletoninpowerset ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 singletoninpowunion ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 upairset2E ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 upairsubunion ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 upairinpowunion ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 ubforcartprodlem1 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 ubforcartprodlem2 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 ubforcartprodlem3 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 cartprodpairin ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 cartprodmempair1 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 cartprodmempair ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setunionE2 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setunionsingleton1 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setunionsingleton2 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setunionsingleton ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 singletonprop ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 ex1E1 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 ex1I ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 ex1I2 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 singletonsuniq ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setukpairinjL1 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 kfstsingleton ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 theprop ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 kfstpairEq ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 cartprodfstin ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setukpairinjL2 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setukpairinjL ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setukpairinjR11 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setukpairinjR12 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setukpairinjR1 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 upairequniteq ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setukpairinjR2 ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setukpairinjR ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 ksndsingleton ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 ksndpairEq ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 kpairsurjEq ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 cartprodsndin ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 cartprodpairmemEL ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 cartprodpairmemER ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 cartprodmempaircEq ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 cartprodfstpairEq ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 cartprodsndpairEq ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 cartprodpairsurjEq ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 dpsetconstrI ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 dpsetconstrSub ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.50 setOfPairsIsBReln ) => 271.50/40.50 ( 271.50/40.50 ( 271.50/40.51 dpsetconstrERa ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 dpsetconstrEL1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 dpsetconstrEL2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 dpsetconstrER ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 funcImageSingleton ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 apProp ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 app ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 infuncsetfunc ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ap2p ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 funcinfuncset ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 lamProp ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 lamp ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 lam2p ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 brelnall1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 brelnall2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ex1E2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 funcGraphProp1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 funcGraphProp3 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 funcGraphProp2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 funcextLem ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 funcGraphProp4 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 subbreln ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 eqbreln ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 funcext ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 funcext2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ap2apEq1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ap2apEq2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 beta1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 eta1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 lam2lamEq ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 beta2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 eta2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 iffalseProp1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 iffalseProp2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 iftrueProp1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 iftrueProp2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ifSingleton ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ifp ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 theeq ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 iftrue ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 iffalse ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 iftrueorfalse ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binintersectT_lem ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binunionT_lem ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 powersetT_lem ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setminusT_lem ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 complementT_lem ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setextT ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 subsetTI ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 powersetTI1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 powersetTE1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 complementTI1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 complementTE1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binintersectTELcontra ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binintersectTERcontra ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 contrasubsetT ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 contrasubsetT1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 contrasubsetT2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 contrasubsetT3 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 doubleComplementI1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 doubleComplementE1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 doubleComplementSub1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 doubleComplementSub2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 doubleComplementEq ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 complementTnotintersectT ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 complementImpComplementIntersect ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 complementSubsetComplementIntersect ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 complementInPowersetComplementIntersect ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 contraSubsetComplement ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 complementTcontraSubset ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binunionTILcontra ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binunionTIRcontra ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 inIntersectImpInUnion ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 inIntersectImpInUnion2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 inIntersectImpInIntersectUnions ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 intersectInPowersetIntersectUnions ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 inComplementUnionImpNotIn1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 inComplementUnionImpInComplement1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binunionTE ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binunionTEcontra ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 demorgan2a1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 complementUnionInPowersetComplement ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 demorgan2a2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 demorgan1a ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 demorgan1b ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 demorgan1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 demorgan2a ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 demorgan2b2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 demorgan2b ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 demorgan2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 woz13rule0 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 woz13rule1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 woz13rule2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 woz13rule3 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 woz13rule4 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 woz1_1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 woz1_2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 woz1_3 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 woz1_4 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 woz1_5 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 breln1all2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 breln1SetBreln1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 choice2fnsingleton ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setOfPairsIsBReln1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 breln1all1 ) => 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 A:$i,R:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 breln1 @ 271.50/40.51 A @ R ) => 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 S:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 breln1 @ 271.50/40.51 A @ S ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 Xx:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 Xx @ A ) => 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 Xy:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 Xy @ A ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 ( 271.50/40.51 kpair @ 271.50/40.51 Xx @ Xy ) @ 271.50/40.51 R ) => 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 ( 271.50/40.51 kpair @ 271.50/40.51 Xx @ Xy ) @ 271.50/40.51 S ) ) ) ) ) ) => 271.50/40.51 ( 271.50/40.51 subset @ 271.50/40.51 R @ S ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 271.50/40.51 thf(zf_stmt_0, conjecture, 271.50/40.51 (( setextAx ) => 271.50/40.51 ( ( emptysetAx ) => 271.50/40.51 ( ( setadjoinAx ) => 271.50/40.51 ( ( powersetAx ) => 271.50/40.51 ( ( setunionAx ) => 271.50/40.51 ( ( omega0Ax ) => 271.50/40.51 ( ( omegaSAx ) => 271.50/40.51 ( ( omegaIndAx ) => 271.50/40.51 ( ( replAx ) => 271.50/40.51 ( ( foundationAx ) => 271.50/40.51 ( ( wellorderingAx ) => 271.50/40.51 ( ( descrp ) => 271.50/40.51 ( ( dsetconstrI ) => 271.50/40.51 ( ( dsetconstrEL ) => 271.50/40.51 ( ( dsetconstrER ) => 271.50/40.51 ( ( exuE1 ) => 271.50/40.51 ( ( prop2setE ) => 271.50/40.51 ( ( emptysetE ) => 271.50/40.51 ( ( emptysetimpfalse ) => 271.50/40.51 ( ( notinemptyset ) => 271.50/40.51 ( ( exuE3e ) => 271.50/40.51 ( ( setext ) => 271.50/40.51 ( ( emptyI ) => 271.50/40.51 ( ( noeltsimpempty ) => 271.50/40.51 ( ( setbeta ) => 271.50/40.51 ( ( nonemptyE1 ) => 271.50/40.51 ( ( nonemptyI ) => 271.50/40.51 ( ( nonemptyI1 ) => 271.50/40.51 ( ( setadjoinIL ) => 271.50/40.51 ( ( emptyinunitempty ) => 271.50/40.51 ( ( setadjoinIR ) => 271.50/40.51 ( ( setadjoinE ) => 271.50/40.51 ( ( 271.50/40.51 setadjoinOr ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setoftrueEq ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 powersetI ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 emptyinPowerset ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 emptyInPowerset ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 powersetE ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setunionI ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setunionE ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 subPowSU ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 exuE2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 nonemptyImpWitness ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 uniqinunit ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 notinsingleton ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 eqinunit ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 singletonsswitch ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 upairsetE ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 upairsetIL ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 upairsetIR ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 emptyE1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 vacuousDall ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 quantDeMorgan1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 quantDeMorgan2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 quantDeMorgan3 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 quantDeMorgan4 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 prop2setI ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 prop2set2propI ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 notdexE ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 notdallE ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 exuI1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 exuI3 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 exuI2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 inCongP ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in__Cong ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 exuE3u ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 exu__Cong ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 emptyset__Cong ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setadjoin__Cong ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 powerset__Cong ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setunion__Cong ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 omega__Cong ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 exuEu ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 descr__Cong ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 dsetconstr__Cong ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X4:$i, 271.50/40.51 X6:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X8:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X8 @ X4 ) => 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X8 @ X6 ) ) ) => 271.50/40.51 ( 271.50/40.51 subset @ 271.50/40.51 X4 @ X6 ) ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X10:$i, 271.50/40.51 X12:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 X10 ) = 271.50/40.51 ( 271.50/40.51 X12 ) ) => 271.50/40.51 ( 271.50/40.51 subset @ 271.50/40.51 X12 @ X10 ) ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X14:$i, 271.50/40.51 X16:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 X14 ) = 271.50/40.51 ( 271.50/40.51 X16 ) ) => 271.50/40.51 ( 271.50/40.51 subset @ 271.50/40.51 X14 @ X16 ) ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X18:$i, 271.50/40.51 X20:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X22:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X22 @ X18 ) => 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X22 @ X20 ) ) ) => 271.50/40.51 ( 271.50/40.51 subset @ 271.50/40.51 X18 @ X20 ) ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X24:$i]: 271.50/40.51 ( 271.50/40.51 subset @ 271.50/40.51 emptyset @ 271.50/40.51 X24 ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X26:$i, 271.50/40.51 X28:$i, 271.50/40.51 X30:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 subset @ 271.50/40.51 X26 @ X28 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X30 @ X26 ) => 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X30 @ X28 ) ) ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X32:$i, 271.50/40.51 X34:$i, 271.50/40.51 X36:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 subset @ 271.50/40.51 X32 @ X34 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ~( 271.50/40.51 in @ 271.50/40.51 X36 @ X34 ) ) => 271.50/40.51 ( 271.50/40.51 ~( 271.50/40.51 in @ 271.50/40.51 X36 @ X32 ) ) ) ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X38:$i, 271.50/40.51 X40:$i, 271.50/40.51 X42:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X42 @ X38 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ~( 271.50/40.51 in @ 271.50/40.51 X42 @ X40 ) ) => 271.50/40.51 ( 271.50/40.51 ~( 271.50/40.51 subset @ 271.50/40.51 X38 @ X40 ) ) ) ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X44:$i, 271.50/40.51 X46:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ~( 271.50/40.51 subset @ 271.50/40.51 X44 @ X46 ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 X44 ) != 271.50/40.51 ( 271.50/40.51 X46 ) ) ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 notequalI2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X48:$i]: 271.50/40.51 ( 271.50/40.51 subset @ 271.50/40.51 X48 @ X48 ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X50:$i, 271.50/40.51 X52:$i, 271.50/40.51 X54:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 subset @ 271.50/40.51 X50 @ X52 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 subset @ 271.50/40.51 X52 @ X54 ) => 271.50/40.51 ( 271.50/40.51 subset @ 271.50/40.51 X50 @ X54 ) ) ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setadjoinSub ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setadjoinSub2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X56:$i, 271.50/40.51 X58:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 subset @ 271.50/40.51 X56 @ X58 ) => 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X56 @ 271.50/40.51 ( 271.50/40.51 powerset @ 271.50/40.51 X58 ) ) ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X60:$i, 271.50/40.51 X62:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 subset @ 271.50/40.51 X60 @ X62 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 subset @ 271.50/40.51 X62 @ X60 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 X60 ) = 271.50/40.51 ( 271.50/40.51 X62 ) ) ) ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X64:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 subset @ 271.50/40.51 X64 @ 271.50/40.51 emptyset ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 X64 ) = 271.50/40.51 ( 271.50/40.51 emptyset ) ) ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X66:$i, 271.50/40.51 X68:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 subset @ 271.50/40.51 X68 @ X66 ) => 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X68 @ 271.50/40.51 ( 271.50/40.51 powerset @ 271.50/40.51 X66 ) ) ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X70:$i, 271.50/40.51 X72:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X72 @ 271.50/40.51 ( 271.50/40.51 powerset @ 271.50/40.51 X70 ) ) => 271.50/40.51 ( 271.50/40.51 subset @ 271.50/40.51 X72 @ X70 ) ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 inPowerset ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X74:$i, 271.50/40.51 X76:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 subset @ 271.50/40.51 X74 @ X76 ) => 271.50/40.51 ( 271.50/40.51 subset @ 271.50/40.51 ( 271.50/40.51 powerset @ 271.50/40.51 X74 ) @ 271.50/40.51 ( 271.50/40.51 powerset @ 271.50/40.51 X76 ) ) ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 sepInPowerset ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 sepSubset ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binunionIL ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 upairset2IR ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binunionIR ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binunionEcases ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binunionE ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binunionLsub ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binunionRsub ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binintersectI ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binintersectSubset5 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binintersectEL ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binintersectLsub ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binintersectSubset2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binintersectSubset3 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binintersectER ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 disjointsetsI1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binintersectRsub ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binintersectSubset4 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binintersectSubset1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 bs114d ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setminusI ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setminusEL ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setminusER ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setminusSubset2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setminusERneg ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setminusELneg ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setminusILneg ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setminusIRneg ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setminusLsub ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setminusSubset1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 symdiffE ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 symdiffI1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 symdiffI2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 symdiffIneg1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 symdiffIneg2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 secondinupair ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setukpairIL ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setukpairIR ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 kpairiskpair ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 kpairp ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 singletonsubset ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 singletoninpowerset ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 singletoninpowunion ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 upairset2E ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 upairsubunion ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 upairinpowunion ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ubforcartprodlem1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ubforcartprodlem2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X78:$i, 271.50/40.51 X80:$i, 271.50/40.51 X82:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X82 @ X78 ) => 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X84:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X84 @ X80 ) => 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 ( 271.50/40.51 kpair @ 271.50/40.51 X82 @ X84 ) @ 271.50/40.51 ( 271.50/40.51 powerset @ 271.50/40.51 ( 271.50/40.51 powerset @ 271.50/40.51 ( 271.50/40.51 binunion @ 271.50/40.51 X78 @ X80 ) ) ) ) ) ) ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 cartprodpairin ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 cartprodmempair1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 cartprodmempair ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setunionE2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setunionsingleton1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setunionsingleton2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setunionsingleton ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 singletonprop ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ex1E1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ex1I ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ex1I2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 singletonsuniq ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setukpairinjL1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 kfstsingleton ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 theprop ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 kfstpairEq ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 cartprodfstin ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setukpairinjL2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X86:$i, 271.50/40.51 X88:$i, 271.50/40.51 X90:$i, 271.50/40.51 X92:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 kpair @ 271.50/40.51 X86 @ X88 ) = 271.50/40.51 ( 271.50/40.51 kpair @ 271.50/40.51 X90 @ X92 ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 X86 ) = 271.50/40.51 ( 271.50/40.51 X90 ) ) ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setukpairinjR11 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setukpairinjR12 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setukpairinjR1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 upairequniteq ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setukpairinjR2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X94:$i, 271.50/40.51 X96:$i, 271.50/40.51 X98:$i, 271.50/40.51 X100:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 kpair @ 271.50/40.51 X94 @ X96 ) = 271.50/40.51 ( 271.50/40.51 kpair @ 271.50/40.51 X98 @ X100 ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 X96 ) = 271.50/40.51 ( 271.50/40.51 X100 ) ) ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ksndsingleton ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ksndpairEq ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 kpairsurjEq ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 cartprodsndin ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 cartprodpairmemEL ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 cartprodpairmemER ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X102:$i, 271.50/40.51 X104:$i, 271.50/40.51 X106:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X106 @ 271.50/40.51 X102 ) => 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X108:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X108 @ 271.50/40.51 X104 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 kpair @ 271.50/40.51 X106 @ 271.50/40.51 X108 ) = 271.50/40.51 ( 271.50/40.51 kpair @ 271.50/40.51 X106 @ 271.50/40.51 X108 ) ) ) ) ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 cartprodfstpairEq ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 cartprodsndpairEq ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 cartprodpairsurjEq ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 dpsetconstrI ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 dpsetconstrSub ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setOfPairsIsBReln ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 dpsetconstrERa ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 dpsetconstrEL1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 dpsetconstrEL2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 dpsetconstrER ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 funcImageSingleton ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 apProp ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 app ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 infuncsetfunc ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ap2p ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 funcinfuncset ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 lamProp ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 lamp ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 lam2p ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 brelnall1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 brelnall2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ex1E2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 funcGraphProp1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 funcGraphProp3 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 funcGraphProp2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 funcextLem ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 funcGraphProp4 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 subbreln ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 eqbreln ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 funcext ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 funcext2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ap2apEq1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ap2apEq2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 beta1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 eta1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 lam2lamEq ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 beta2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 eta2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 iffalseProp1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 iffalseProp2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 iftrueProp1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 iftrueProp2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ifSingleton ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ifp ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 theeq ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 iftrue ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 iffalse ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 iftrueorfalse ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binintersectT_lem ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binunionT_lem ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 powersetT_lem ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setminusT_lem ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 complementT_lem ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setextT ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X110:$i, 271.50/40.51 X112:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X112 @ 271.50/40.51 ( 271.50/40.51 powerset @ 271.50/40.51 X110 ) ) => 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X114:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X114 @ 271.50/40.51 ( 271.50/40.51 powerset @ 271.50/40.51 X110 ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X116:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X116 @ 271.50/40.51 X110 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X116 @ 271.50/40.51 X112 ) => 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X116 @ 271.50/40.51 X114 ) ) ) ) => 271.50/40.51 ( 271.50/40.51 subset @ 271.50/40.51 X112 @ 271.50/40.51 X114 ) ) ) ) ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 powersetTI1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 powersetTE1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 complementTI1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 complementTE1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binintersectTELcontra ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binintersectTERcontra ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 contrasubsetT ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X118:$i, 271.50/40.51 X120:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X120 @ 271.50/40.51 ( 271.50/40.51 powerset @ 271.50/40.51 X118 ) ) => 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X122:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X122 @ 271.50/40.51 ( 271.50/40.51 powerset @ 271.50/40.51 X118 ) ) => 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X124:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X124 @ 271.50/40.51 X118 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 subset @ 271.50/40.51 X120 @ 271.50/40.51 X122 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ~( 271.50/40.51 in @ 271.50/40.51 X124 @ 271.50/40.51 X122 ) ) => 271.50/40.51 ( 271.50/40.51 ~( 271.50/40.51 in @ 271.50/40.51 X124 @ 271.50/40.51 X120 ) ) ) ) ) ) ) ) ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 contrasubsetT2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 contrasubsetT3 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 doubleComplementI1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 doubleComplementE1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 doubleComplementSub1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 doubleComplementSub2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 doubleComplementEq ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 complementTnotintersectT ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 complementImpComplementIntersect ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 complementSubsetComplementIntersect ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 complementInPowersetComplementIntersect ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 contraSubsetComplement ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 complementTcontraSubset ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binunionTILcontra ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binunionTIRcontra ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 inIntersectImpInUnion ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 inIntersectImpInUnion2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 inIntersectImpInIntersectUnions ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 intersectInPowersetIntersectUnions ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 inComplementUnionImpNotIn1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 inComplementUnionImpInComplement1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binunionTE ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 binunionTEcontra ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 demorgan2a1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 complementUnionInPowersetComplement ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 demorgan2a2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 demorgan1a ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 demorgan1b ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 demorgan1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 demorgan2a ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 demorgan2b2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 demorgan2b ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 demorgan2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 woz13rule0 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 woz13rule1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 woz13rule2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 woz13rule3 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 woz13rule4 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 woz1_1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 woz1_2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 woz1_3 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 woz1_4 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 woz1_5 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X126:$i, 271.50/40.51 X128:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 breln @ 271.50/40.51 X126 @ 271.50/40.51 X126 @ 271.50/40.51 X128 ) => 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X130:( 271.50/40.51 $i > $o )]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X132:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X132 @ 271.50/40.51 X126 ) => 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X134:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X134 @ 271.50/40.51 X126 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 ( 271.50/40.51 kpair @ 271.50/40.51 X132 @ 271.50/40.51 X134 ) @ 271.50/40.51 X128 ) => 271.50/40.51 ( 271.50/40.51 X130 @ 271.50/40.51 ( 271.50/40.51 kpair @ 271.50/40.51 X132 @ 271.50/40.51 X134 ) ) ) ) ) ) ) => 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X136:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X136 @ 271.50/40.51 X128 ) => 271.50/40.51 ( 271.50/40.51 X130 @ 271.50/40.51 X136 ) ) ) ) ) ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 breln1SetBreln1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 choice2fnsingleton ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X138:$i, 271.50/40.51 X140:( 271.50/40.51 $i > $i > 271.50/40.51 $o )]: 271.50/40.51 ( 271.50/40.51 breln @ 271.50/40.51 X138 @ 271.50/40.51 X138 @ 271.50/40.51 ( 271.50/40.51 dpsetconstr 271.50/40.51 @ 271.50/40.51 X138 @ 271.50/40.51 X138 @ 271.50/40.51 ( 271.50/40.51 ^[ 271.50/40.51 V_1:$i, 271.50/40.51 V_2:$i]: 271.50/40.51 ( 271.50/40.51 X140 @ 271.50/40.51 V_1 @ V_2 ) ) ) ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X142:$i, 271.50/40.51 X144:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 breln @ 271.50/40.51 X142 @ 271.50/40.51 X142 @ 271.50/40.51 X144 ) => 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X146:( 271.50/40.51 $i > $o )]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X148:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X148 @ 271.50/40.51 X142 ) => 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X150:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X150 @ 271.50/40.51 X142 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 ( 271.50/40.51 kpair @ 271.50/40.51 X148 @ 271.50/40.51 X150 ) @ 271.50/40.51 X144 ) => 271.50/40.51 ( 271.50/40.51 X146 @ 271.50/40.51 ( 271.50/40.51 kpair @ 271.50/40.51 X148 @ 271.50/40.51 X150 ) ) ) ) ) ) ) => 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X152:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X152 @ 271.50/40.51 X144 ) => 271.50/40.51 ( 271.50/40.51 X146 @ 271.50/40.51 X152 ) ) ) ) ) ) ) => 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X154:$i, 271.50/40.51 X156:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 breln @ 271.50/40.51 X154 @ 271.50/40.51 X154 @ 271.50/40.51 X156 ) => 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X158:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 breln @ 271.50/40.51 X154 @ 271.50/40.51 X154 @ 271.50/40.51 X158 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X160:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X160 @ 271.50/40.51 X154 ) => 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X162:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X162 @ 271.50/40.51 X154 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 ( 271.50/40.51 kpair @ 271.50/40.51 X160 @ 271.50/40.51 X162 ) @ 271.50/40.51 X156 ) => 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 ( 271.50/40.51 kpair @ 271.50/40.51 X160 @ 271.50/40.51 X162 ) @ 271.50/40.51 X158 ) ) ) ) ) ) => 271.50/40.51 ( 271.50/40.51 subset @ 271.50/40.51 X156 @ 271.50/40.51 X158 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 271.50/40.51 thf(zf_stmt_1, negated_conjecture, 271.50/40.51 (~( ( setextAx ) => 271.50/40.51 ( ( emptysetAx ) => 271.50/40.51 ( ( setadjoinAx ) => 271.50/40.51 ( ( powersetAx ) => 271.50/40.51 ( ( setunionAx ) => 271.50/40.51 ( ( omega0Ax ) => 271.50/40.51 ( ( omegaSAx ) => 271.50/40.51 ( ( omegaIndAx ) => 271.50/40.51 ( ( replAx ) => 271.50/40.51 ( ( foundationAx ) => 271.50/40.51 ( ( wellorderingAx ) => 271.50/40.51 ( ( descrp ) => 271.50/40.51 ( ( dsetconstrI ) => 271.50/40.51 ( ( dsetconstrEL ) => 271.50/40.51 ( ( dsetconstrER ) => 271.50/40.51 ( ( exuE1 ) => 271.50/40.51 ( ( prop2setE ) => 271.50/40.51 ( ( emptysetE ) => 271.50/40.51 ( ( emptysetimpfalse ) => 271.50/40.51 ( ( notinemptyset ) => 271.50/40.51 ( ( exuE3e ) => 271.50/40.51 ( ( setext ) => 271.50/40.51 ( ( emptyI ) => 271.50/40.51 ( ( noeltsimpempty ) => 271.50/40.51 ( ( setbeta ) => 271.50/40.51 ( ( nonemptyE1 ) => 271.50/40.51 ( ( nonemptyI ) => 271.50/40.51 ( ( nonemptyI1 ) => 271.50/40.51 ( ( setadjoinIL ) => 271.50/40.51 ( ( emptyinunitempty ) => 271.50/40.51 ( ( setadjoinIR ) => 271.50/40.51 ( ( 271.50/40.51 setadjoinE ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setadjoinOr ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setoftrueEq ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 powersetI ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 emptyinPowerset ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 emptyInPowerset ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 powersetE ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setunionI ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setunionE ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 subPowSU ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 exuE2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 nonemptyImpWitness ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 uniqinunit ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 notinsingleton ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 eqinunit ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 singletonsswitch ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 upairsetE ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 upairsetIL ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 upairsetIR ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 emptyE1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 vacuousDall ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 quantDeMorgan1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 quantDeMorgan2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 quantDeMorgan3 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 quantDeMorgan4 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 prop2setI ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 prop2set2propI ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 notdexE ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 notdallE ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 exuI1 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 exuI3 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 exuI2 ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 inCongP ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in__Cong ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 exuE3u ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 exu__Cong ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 emptyset__Cong ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setadjoin__Cong ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 powerset__Cong ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 setunion__Cong ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 omega__Cong ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 exuEu ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 descr__Cong ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 dsetconstr__Cong ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X4:$i, 271.50/40.51 X6:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X8:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X8 @ X4 ) => 271.50/40.51 ( 271.50/40.51 in @ 271.50/40.51 X8 @ X6 ) ) ) => 271.50/40.51 ( 271.50/40.51 subset @ 271.50/40.51 X4 @ X6 ) ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X10:$i, 271.50/40.51 X12:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 X10 ) = 271.50/40.51 ( 271.50/40.51 X12 ) ) => 271.50/40.51 ( 271.50/40.51 subset @ 271.50/40.51 X12 @ X10 ) ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X14:$i, 271.50/40.51 X16:$i]: 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 X14 ) = 271.50/40.51 ( 271.50/40.51 X16 ) ) => 271.50/40.51 ( 271.50/40.51 subset @ 271.50/40.51 X14 @ X16 ) ) ) => 271.50/40.51 ( 271.50/40.51 ( 271.50/40.51 ![ 271.50/40.51 X18:$i, 293.37/40.51 X20:$i]: 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 ![ 293.37/40.51 X22:$i]: 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 in @ 293.37/40.51 X22 @ X18 ) => 293.37/40.51 ( 293.37/40.51 in @ 293.37/40.51 X22 @ X20 ) ) ) => 293.37/40.51 ( 293.37/40.51 subset @ 293.37/40.51 X18 @ X20 ) ) ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 ![ 293.37/40.51 X24:$i]: 293.37/40.51 ( 293.37/40.51 subset @ 293.37/40.51 emptyset @ 293.37/40.51 X24 ) ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 ![ 293.37/40.51 X26:$i, 293.37/40.51 X28:$i, 293.37/40.51 X30:$i]: 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 subset @ 293.37/40.51 X26 @ X28 ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 in @ 293.37/40.51 X30 @ X26 ) => 293.37/40.51 ( 293.37/40.51 in @ 293.37/40.51 X30 @ X28 ) ) ) ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 ![ 293.37/40.51 X32:$i, 293.37/40.51 X34:$i, 293.37/40.51 X36:$i]: 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 subset @ 293.37/40.51 X32 @ X34 ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 ~ 293.37/40.51 ( 293.37/40.51 in @ 293.37/40.51 X36 @ X34 ) ) => 293.37/40.51 ( 293.37/40.51 ~ 293.37/40.51 ( 293.37/40.51 in @ 293.37/40.51 X36 @ X32 ) ) ) ) ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 ![ 293.37/40.51 X38:$i, 293.37/40.51 X40:$i, 293.37/40.51 X42:$i]: 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 in @ 293.37/40.51 X42 @ X38 ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 ~ 293.37/40.51 ( 293.37/40.51 in @ 293.37/40.51 X42 @ X40 ) ) => 293.37/40.51 ( 293.37/40.51 ~ 293.37/40.51 ( 293.37/40.51 subset @ 293.37/40.51 X38 @ X40 ) ) ) ) ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 ![ 293.37/40.51 X44:$i, 293.37/40.51 X46:$i]: 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 ~ 293.37/40.51 ( 293.37/40.51 subset @ 293.37/40.51 X44 @ X46 ) ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 X44 ) != 293.37/40.51 ( 293.37/40.51 X46 ) ) ) ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 notequalI2 ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 ![ 293.37/40.51 X48:$i]: 293.37/40.51 ( 293.37/40.51 subset @ 293.37/40.51 X48 @ X48 ) ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 ![ 293.37/40.51 X50:$i, 293.37/40.51 X52:$i, 293.37/40.51 X54:$i]: 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 subset @ 293.37/40.51 X50 @ X52 ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 subset @ 293.37/40.51 X52 @ X54 ) => 293.37/40.51 ( 293.37/40.51 subset @ 293.37/40.51 X50 @ X54 ) ) ) ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 setadjoinSub ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 setadjoinSub2 ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 ![ 293.37/40.51 X56:$i, 293.37/40.51 X58:$i]: 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 subset @ 293.37/40.51 X56 @ X58 ) => 293.37/40.51 ( 293.37/40.51 in @ 293.37/40.51 X56 @ 293.37/40.51 ( 293.37/40.51 powerset 293.37/40.51 @ 293.37/40.51 X58 ) ) ) ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 ![ 293.37/40.51 X60:$i, 293.37/40.51 X62:$i]: 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 subset @ 293.37/40.51 X60 @ X62 ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 subset @ 293.37/40.51 X62 @ X60 ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 X60 ) = 293.37/40.51 ( 293.37/40.51 X62 ) ) ) ) ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 ![ 293.37/40.51 X64:$i]: 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 subset @ 293.37/40.51 X64 @ 293.37/40.51 emptyset ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 X64 ) = 293.37/40.51 ( 293.37/40.51 emptyset ) ) ) ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 ![ 293.37/40.51 X66:$i, 293.37/40.51 X68:$i]: 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 subset @ 293.37/40.51 X68 @ X66 ) => 293.37/40.51 ( 293.37/40.51 in @ 293.37/40.51 X68 @ 293.37/40.51 ( 293.37/40.51 powerset 293.37/40.51 @ 293.37/40.51 X66 ) ) ) ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 ![ 293.37/40.51 X70:$i, 293.37/40.51 X72:$i]: 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 in @ 293.37/40.51 X72 @ 293.37/40.51 ( 293.37/40.51 powerset 293.37/40.51 @ 293.37/40.51 X70 ) ) => 293.37/40.51 ( 293.37/40.51 subset @ 293.37/40.51 X72 @ X70 ) ) ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 inPowerset ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 ![ 293.37/40.51 X74:$i, 293.37/40.51 X76:$i]: 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 subset @ 293.37/40.51 X74 @ X76 ) => 293.37/40.51 ( 293.37/40.51 subset @ 293.37/40.51 ( 293.37/40.51 powerset 293.37/40.51 @ 293.37/40.51 X74 ) @ 293.37/40.51 ( 293.37/40.51 powerset 293.37/40.51 @ 293.37/40.51 X76 ) ) ) ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 sepInPowerset ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 sepSubset ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 binunionIL ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 upairset2IR ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 binunionIR ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 binunionEcases ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 binunionE ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 binunionLsub ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 binunionRsub ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 binintersectI ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 binintersectSubset5 ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 binintersectEL ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 binintersectLsub ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 binintersectSubset2 ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 binintersectSubset3 ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 binintersectER ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 disjointsetsI1 ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 binintersectRsub ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 binintersectSubset4 ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 binintersectSubset1 ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 bs114d ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 setminusI ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 setminusEL ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 setminusER ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 setminusSubset2 ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 setminusERneg ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 setminusELneg ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 setminusILneg ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 setminusIRneg ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 setminusLsub ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 setminusSubset1 ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 symdiffE ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 symdiffI1 ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 symdiffI2 ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 symdiffIneg1 ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 symdiffIneg2 ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 secondinupair ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 setukpairIL ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 setukpairIR ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 kpairiskpair ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 kpairp ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 singletonsubset ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 singletoninpowerset ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 singletoninpowunion ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 upairset2E ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 upairsubunion ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 upairinpowunion ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 ubforcartprodlem1 ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 ubforcartprodlem2 ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 ![ 293.37/40.51 X78:$i, 293.37/40.51 X80:$i, 293.37/40.51 X82:$i]: 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 in @ 293.37/40.51 X82 @ X78 ) => 293.37/40.51 ( 293.37/40.51 ![ 293.37/40.51 X84:$i]: 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 in @ 293.37/40.51 X84 @ X80 ) => 293.37/40.51 ( 293.37/40.51 in @ 293.37/40.51 ( 293.37/40.51 kpair @ 293.37/40.51 X82 @ X84 ) @ 293.37/40.51 ( 293.37/40.51 powerset 293.37/40.51 @ 293.37/40.51 ( 293.37/40.51 powerset 293.37/40.51 @ 293.37/40.51 ( 293.37/40.51 binunion 293.37/40.51 @ 293.37/40.51 X78 @ X80 ) ) ) ) ) ) ) ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 cartprodpairin ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 cartprodmempair1 ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 cartprodmempair ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 setunionE2 ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 setunionsingleton1 ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 setunionsingleton2 ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 setunionsingleton ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 singletonprop ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 ex1E1 ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 ex1I ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 ex1I2 ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 singletonsuniq ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 setukpairinjL1 ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 kfstsingleton ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 theprop ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 kfstpairEq ) => 293.37/40.51 ( 293.37/40.51 ( 293.37/40.51 cartprodfstin ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 setukpairinjL2 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 ![ 293.37/40.52 X86:$i, 293.37/40.52 X88:$i, 293.37/40.52 X90:$i, 293.37/40.52 X92:$i]: 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 kpair @ 293.37/40.52 X86 @ X88 ) = 293.37/40.52 ( 293.37/40.52 kpair @ 293.37/40.52 X90 @ X92 ) ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 X86 ) = 293.37/40.52 ( 293.37/40.52 X90 ) ) ) ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 setukpairinjR11 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 setukpairinjR12 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 setukpairinjR1 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 upairequniteq ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 setukpairinjR2 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 ![ 293.37/40.52 X94:$i, 293.37/40.52 X96:$i, 293.37/40.52 X98:$i, 293.37/40.52 X100:$i]: 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 kpair @ 293.37/40.52 X94 @ X96 ) = 293.37/40.52 ( 293.37/40.52 kpair @ 293.37/40.52 X98 @ 293.37/40.52 X100 ) ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 X96 ) = 293.37/40.52 ( 293.37/40.52 X100 ) ) ) ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 ksndsingleton ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 ksndpairEq ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 kpairsurjEq ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 cartprodsndin ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 cartprodpairmemEL ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 cartprodpairmemER ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 ![ 293.37/40.52 X102:$i, 293.37/40.52 X104:$i, 293.37/40.52 X106:$i]: 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 in @ 293.37/40.52 X106 @ 293.37/40.52 X102 ) => 293.37/40.52 ( 293.37/40.52 ![ 293.37/40.52 X108:$i]: 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 in @ 293.37/40.52 X108 @ 293.37/40.52 X104 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 kpair @ 293.37/40.52 X106 @ 293.37/40.52 X108 ) = 293.37/40.52 ( 293.37/40.52 kpair @ 293.37/40.52 X106 @ 293.37/40.52 X108 ) ) ) ) ) ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 cartprodfstpairEq ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 cartprodsndpairEq ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 cartprodpairsurjEq ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 dpsetconstrI ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 dpsetconstrSub ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 setOfPairsIsBReln ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 dpsetconstrERa ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 dpsetconstrEL1 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 dpsetconstrEL2 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 dpsetconstrER ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 funcImageSingleton ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 apProp ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 app ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 infuncsetfunc ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 ap2p ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 funcinfuncset ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 lamProp ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 lamp ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 lam2p ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 brelnall1 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 brelnall2 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 ex1E2 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 funcGraphProp1 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 funcGraphProp3 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 funcGraphProp2 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 funcextLem ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 funcGraphProp4 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 subbreln ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 eqbreln ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 funcext ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 funcext2 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 ap2apEq1 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 ap2apEq2 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 beta1 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 eta1 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 lam2lamEq ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 beta2 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 eta2 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 iffalseProp1 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 iffalseProp2 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 iftrueProp1 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 iftrueProp2 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 ifSingleton ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 ifp ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 theeq ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 iftrue ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 iffalse ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 iftrueorfalse ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 binintersectT_lem ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 binunionT_lem ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 powersetT_lem ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 setminusT_lem ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 complementT_lem ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 setextT ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 ![ 293.37/40.52 X110:$i, 293.37/40.52 X112:$i]: 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 in @ 293.37/40.52 X112 @ 293.37/40.52 ( 293.37/40.52 powerset 293.37/40.52 @ 293.37/40.52 X110 ) ) => 293.37/40.52 ( 293.37/40.52 ![ 293.37/40.52 X114:$i]: 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 in @ 293.37/40.52 X114 @ 293.37/40.52 ( 293.37/40.52 powerset 293.37/40.52 @ 293.37/40.52 X110 ) ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 ![ 293.37/40.52 X116:$i]: 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 in @ 293.37/40.52 X116 @ 293.37/40.52 X110 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 in @ 293.37/40.52 X116 @ 293.37/40.52 X112 ) => 293.37/40.52 ( 293.37/40.52 in @ 293.37/40.52 X116 @ 293.37/40.52 X114 ) ) ) ) => 293.37/40.52 ( 293.37/40.52 subset @ 293.37/40.52 X112 @ 293.37/40.52 X114 ) ) ) ) ) ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 powersetTI1 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 powersetTE1 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 complementTI1 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 complementTE1 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 binintersectTELcontra ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 binintersectTERcontra ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 contrasubsetT ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 ![ 293.37/40.52 X118:$i, 293.37/40.52 X120:$i]: 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 in @ 293.37/40.52 X120 @ 293.37/40.52 ( 293.37/40.52 powerset 293.37/40.52 @ 293.37/40.52 X118 ) ) => 293.37/40.52 ( 293.37/40.52 ![ 293.37/40.52 X122:$i]: 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 in @ 293.37/40.52 X122 @ 293.37/40.52 ( 293.37/40.52 powerset 293.37/40.52 @ 293.37/40.52 X118 ) ) => 293.37/40.52 ( 293.37/40.52 ![ 293.37/40.52 X124:$i]: 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 in @ 293.37/40.52 X124 @ 293.37/40.52 X118 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 subset @ 293.37/40.52 X120 @ 293.37/40.52 X122 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 ~ 293.37/40.52 ( 293.37/40.52 in @ 293.37/40.52 X124 @ 293.37/40.52 X122 ) ) => 293.37/40.52 ( 293.37/40.52 ~ 293.37/40.52 ( 293.37/40.52 in @ 293.37/40.52 X124 @ 293.37/40.52 X120 ) ) ) ) ) ) ) ) ) ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 contrasubsetT2 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 contrasubsetT3 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 doubleComplementI1 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 doubleComplementE1 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 doubleComplementSub1 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 doubleComplementSub2 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 doubleComplementEq ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 complementTnotintersectT ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 complementImpComplementIntersect ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 complementSubsetComplementIntersect ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 complementInPowersetComplementIntersect ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 contraSubsetComplement ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 complementTcontraSubset ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 binunionTILcontra ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 binunionTIRcontra ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 inIntersectImpInUnion ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 inIntersectImpInUnion2 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 inIntersectImpInIntersectUnions ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 intersectInPowersetIntersectUnions ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 inComplementUnionImpNotIn1 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 inComplementUnionImpInComplement1 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 binunionTE ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 binunionTEcontra ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 demorgan2a1 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 complementUnionInPowersetComplement ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 demorgan2a2 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 demorgan1a ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 demorgan1b ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 demorgan1 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 demorgan2a ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 demorgan2b2 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 demorgan2b ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 demorgan2 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 woz13rule0 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 woz13rule1 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 woz13rule2 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 woz13rule3 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 woz13rule4 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 woz1_1 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 woz1_2 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 woz1_3 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 woz1_4 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 woz1_5 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 ![ 293.37/40.52 X126:$i, 293.37/40.52 X128:$i]: 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 breln @ 293.37/40.52 X126 @ 293.37/40.52 X126 @ 293.37/40.52 X128 ) => 293.37/40.52 ( 293.37/40.52 ![ 293.37/40.52 X130:( 293.37/40.52 $i > $o )]: 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 ![ 293.37/40.52 X132:$i]: 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 in @ 293.37/40.52 X132 @ 293.37/40.52 X126 ) => 293.37/40.52 ( 293.37/40.52 ![ 293.37/40.52 X134:$i]: 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 in @ 293.37/40.52 X134 @ 293.37/40.52 X126 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 in @ 293.37/40.52 ( 293.37/40.52 kpair @ 293.37/40.52 X132 @ 293.37/40.52 X134 ) @ 293.37/40.52 X128 ) => 293.37/40.52 ( 293.37/40.52 X130 @ 293.37/40.52 ( 293.37/40.52 kpair @ 293.37/40.52 X132 @ 293.37/40.52 X134 ) ) ) ) ) ) ) => 293.37/40.52 ( 293.37/40.52 ![ 293.37/40.52 X136:$i]: 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 in @ 293.37/40.52 X136 @ 293.37/40.52 X128 ) => 293.37/40.52 ( 293.37/40.52 X130 @ 293.37/40.52 X136 ) ) ) ) ) ) ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 breln1SetBreln1 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 choice2fnsingleton ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 ![ 293.37/40.52 X138:$i, 293.37/40.52 X140:( 293.37/40.52 $i > $i > 293.37/40.52 $o )]: 293.37/40.52 ( 293.37/40.52 breln @ 293.37/40.52 X138 @ 293.37/40.52 X138 @ 293.37/40.52 ( 293.37/40.52 dpsetconstr 293.37/40.52 @ 293.37/40.52 X138 @ 293.37/40.52 X138 @ 293.37/40.52 ( 293.37/40.52 ^[ 293.37/40.52 V_1:$i, 293.37/40.52 V_2:$i]: 293.37/40.52 ( 293.37/40.52 X140 @ 293.37/40.52 V_1 @ V_2 ) ) ) ) ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 ![ 293.37/40.52 X142:$i, 293.37/40.52 X144:$i]: 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 breln @ 293.37/40.52 X142 @ 293.37/40.52 X142 @ 293.37/40.52 X144 ) => 293.37/40.52 ( 293.37/40.52 ![ 293.37/40.52 X146:( 293.37/40.52 $i > $o )]: 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 ![ 293.37/40.52 X148:$i]: 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 in @ 293.37/40.52 X148 @ 293.37/40.52 X142 ) => 293.37/40.52 ( 293.37/40.52 ![ 293.37/40.52 X150:$i]: 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 in @ 293.37/40.52 X150 @ 293.37/40.52 X142 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 in @ 293.37/40.52 ( 293.37/40.52 kpair @ 293.37/40.52 X148 @ 293.37/40.52 X150 ) @ 293.37/40.52 X144 ) => 293.37/40.52 ( 293.37/40.52 X146 @ 293.37/40.52 ( 293.37/40.52 kpair @ 293.37/40.52 X148 @ 293.37/40.52 X150 ) ) ) ) ) ) ) => 293.37/40.52 ( 293.37/40.52 ![ 293.37/40.52 X152:$i]: 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 in @ 293.37/40.52 X152 @ 293.37/40.52 X144 ) => 293.37/40.52 ( 293.37/40.52 X146 @ 293.37/40.52 X152 ) ) ) ) ) ) ) => 293.37/40.52 ( 293.37/40.52 ![ 293.37/40.52 X154:$i, 293.37/40.52 X156:$i]: 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 breln @ 293.37/40.52 X154 @ 293.37/40.52 X154 @ 293.37/40.52 X156 ) => 293.37/40.52 ( 293.37/40.52 ![ 293.37/40.52 X158:$i]: 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 breln @ 293.37/40.52 X154 @ 293.37/40.52 X154 @ 293.37/40.52 X158 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 ![ 293.37/40.52 X160:$i]: 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 in @ 293.37/40.52 X160 @ 293.37/40.52 X154 ) => 293.37/40.52 ( 293.37/40.52 ![ 293.37/40.52 X162:$i]: 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 in @ 293.37/40.52 X162 @ 293.37/40.52 X154 ) => 293.37/40.52 ( 293.37/40.52 ( 293.37/40.52 in @ 293.37/40.52 ( 293.37/40.52 kpair @ 293.37/40.52 X160 @ 293.37/40.52 X162 ) @ 293.37/40.52 X156 ) => 293.37/40.52 ( 293.37/40.52 in @ 293.37/40.52 ( 293.37/40.52 kpair @ 293.37/40.52 X160 @ 293.37/40.52 X162 ) @ 293.37/40.52 X158 ) ) ) ) ) ) => 293.37/40.52 ( 293.37/40.52 subset @ 293.37/40.52 X156 @ 293.37/40.52 X158 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 293.37/40.52 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 293.37/40.52 thf(zip_derived_cl155, plain, (~ (subset @ sk__77 @ sk__78)), 293.37/40.52 inference('cnf', [status(esa)], [zf_stmt_1])). 293.37/40.52 thf(zip_derived_cl40, plain, 293.37/40.52 (![X2 : $i, X3 : $i]: 293.37/40.52 ( (subset @ X2 @ X3) | (in @ (sk__84 @ X3 @ X2) @ X2))), 293.37/40.52 inference('cnf', [status(esa)], [zf_stmt_1])). 293.37/40.52 thf(zip_derived_cl157, plain, ( (breln @ sk__76 @ sk__76 @ sk__77)), 293.37/40.52 inference('cnf', [status(esa)], [zf_stmt_1])). 293.37/40.52 thf(zip_derived_cl146, plain, 293.37/40.52 (![X32 : $i > $o, X33 : $i, X34 : $i, X35 : $i]: 293.37/40.52 (~ (X32 @ 293.37/40.52 (kpair @ (sk__81 @ X32 @ X33 @ X34) @ (sk__82 @ X32 @ X33 @ X34))) 293.37/40.52 | (X32 @ X35) 293.37/40.52 | ~ (in @ X35 @ X33) 293.37/40.52 | ~ (breln @ X34 @ X34 @ X33))), 293.37/40.52 inference('cnf', [status(esa)], [zf_stmt_1])). 293.37/40.52 thf(zip_derived_cl667, plain, 293.37/40.52 (![X0 : $i, X1 : $i > $o]: 293.37/40.52 (~ (in @ X0 @ sk__77) 293.37/40.52 | (X1 @ X0) 293.37/40.52 | ~ (X1 @ 293.37/40.52 (kpair @ (sk__81 @ X1 @ sk__77 @ sk__76) @ 293.37/40.52 (sk__82 @ X1 @ sk__77 @ sk__76))))), 293.37/40.52 inference('sup-', [status(thm)], [zip_derived_cl157, zip_derived_cl146])). 293.37/40.52 thf(zip_derived_cl156, plain, 293.37/40.52 (![X40 : $i, X41 : $i]: 293.37/40.52 (~ (in @ X40 @ sk__76) 293.37/40.52 | (in @ (kpair @ X41 @ X40) @ sk__78) 293.37/40.52 | ~ (in @ (kpair @ X41 @ X40) @ sk__77) 293.37/40.52 | ~ (in @ X41 @ sk__76))), 293.37/40.52 inference('cnf', [status(esa)], [zf_stmt_1])). 293.37/40.52 thf(zip_derived_cl667, plain, 293.37/40.52 (![X0 : $i, X1 : $i > $o]: 293.37/40.52 (~ (in @ X0 @ sk__77) 293.37/40.52 | (X1 @ X0) 293.37/40.52 | ~ (X1 @ 293.37/40.52 (kpair @ (sk__81 @ X1 @ sk__77 @ sk__76) @ 293.37/40.52 (sk__82 @ X1 @ sk__77 @ sk__76))))), 293.37/40.52 inference('sup-', [status(thm)], [zip_derived_cl157, zip_derived_cl146])). 293.37/40.52 thf(zip_derived_cl6289, plain, 293.37/40.52 (![X0 : $i]: 293.37/40.52 (~ (in @ 293.37/40.52 (sk__81 @ 293.37/40.52 (^[Y0 : $i]: (in @ Y0 @ ((^[Y1 : $i]: (sk__78)) @ Y0))) @ 293.37/40.52 sk__77 @ sk__76) @ 293.37/40.52 sk__76) 293.37/40.52 | ~ (in @ 293.37/40.52 (kpair @ 293.37/40.52 (sk__81 @ 293.37/40.52 (^[Y0 : $i]: (in @ Y0 @ ((^[Y1 : $i]: (sk__78)) @ Y0))) @ 293.37/40.52 sk__77 @ sk__76) @ 293.37/40.52 (sk__82 @ 293.37/40.52 (^[Y0 : $i]: (in @ Y0 @ ((^[Y1 : $i]: (sk__78)) @ Y0))) @ 293.37/40.52 sk__77 @ sk__76)) @ 293.37/40.52 sk__77) 293.37/40.52 | ~ (in @ 293.37/40.52 (sk__82 @ 293.37/40.52 (^[Y0 : $i]: (in @ Y0 @ ((^[Y1 : $i]: (sk__78)) @ Y0))) @ 293.37/40.52 sk__77 @ sk__76) @ 293.37/40.52 sk__76) 293.37/40.52 | ((^[Y0 : $i]: 293.37/40.52 (in @ ((^[Y1 : $i]: (Y1)) @ Y0) @ 293.37/40.52 ((^[Y1 : $i]: (sk__78)) @ Y0))) @ 293.37/40.52 X0) 293.37/40.52 | ~ (in @ X0 @ sk__77))), 293.37/40.52 inference('sup-', [status(thm)], [zip_derived_cl156, zip_derived_cl667])). 293.37/40.52 thf(zip_derived_cl6605, plain, 293.37/40.52 (![X0 : $i]: 293.37/40.52 (~ (in @ 293.37/40.52 (sk__81 @ (^[Y0 : $i]: (in @ Y0 @ sk__78)) @ sk__77 @ sk__76) @ 293.37/40.52 sk__76) 293.37/40.52 | ~ (in @ 293.37/40.52 (kpair @ 293.37/40.52 (sk__81 @ (^[Y0 : $i]: (in @ Y0 @ sk__78)) @ sk__77 @ sk__76) @ 293.37/40.52 (sk__82 @ (^[Y0 : $i]: (in @ Y0 @ sk__78)) @ sk__77 @ sk__76)) @ 293.37/40.52 sk__77) 293.37/40.52 | ~ (in @ 293.37/40.52 (sk__82 @ (^[Y0 : $i]: (in @ Y0 @ sk__78)) @ sk__77 @ sk__76) @ 293.37/40.52 sk__76) 293.37/40.52 | (in @ X0 @ sk__78) 293.37/40.52 | ~ (in @ X0 @ sk__77))), 293.37/40.52 inference('ho_norm', [status(thm)], [zip_derived_cl6289])). 293.37/40.52 thf(zip_derived_cl157, plain, ( (breln @ sk__76 @ sk__76 @ sk__77)), 293.37/40.52 inference('cnf', [status(esa)], [zf_stmt_1])). 293.37/40.52 thf(zip_derived_cl148, plain, 293.37/40.52 (![X32 : $i > $o, X33 : $i, X34 : $i, X35 : $i]: 293.37/40.52 ( (in @ (sk__81 @ X32 @ X33 @ X34) @ X34) 293.37/40.52 | (X32 @ X35) 293.37/40.52 | ~ (in @ X35 @ X33) 293.37/40.52 | ~ (breln @ X34 @ X34 @ X33))), 293.37/40.52 inference('cnf', [status(esa)], [zf_stmt_1])). 293.37/40.52 thf(zip_derived_cl784, plain, 293.37/40.52 (![X0 : $i, X1 : $i > $o]: 293.37/40.52 (~ (in @ X0 @ sk__77) 293.37/40.52 | (X1 @ X0) 293.37/40.52 | (in @ (sk__81 @ X1 @ sk__77 @ sk__76) @ sk__76))), 293.37/40.52 inference('sup-', [status(thm)], [zip_derived_cl157, zip_derived_cl148])). 293.37/40.52 thf(zip_derived_cl8683, plain, 293.37/40.52 (![X0 : $i]: 293.37/40.52 (~ (in @ X0 @ sk__77) 293.37/40.52 | (in @ X0 @ sk__78) 293.37/40.52 | ~ (in @ 293.37/40.52 (sk__82 @ (^[Y0 : $i]: (in @ Y0 @ sk__78)) @ sk__77 @ sk__76) @ 293.37/40.52 sk__76) 293.37/40.52 | ~ (in @ 293.37/40.52 (kpair @ 293.37/40.52 (sk__81 @ (^[Y0 : $i]: (in @ Y0 @ sk__78)) @ sk__77 @ sk__76) @ 293.37/40.52 (sk__82 @ (^[Y0 : $i]: (in @ Y0 @ sk__78)) @ sk__77 @ sk__76)) @ 293.37/40.52 sk__77))), 293.37/40.52 inference('clc', [status(thm)], [zip_derived_cl6605, zip_derived_cl784])). 293.37/40.52 thf(zip_derived_cl157, plain, ( (breln @ sk__76 @ sk__76 @ sk__77)), 293.37/40.52 inference('cnf', [status(esa)], [zf_stmt_1])). 293.37/40.52 thf(zip_derived_cl145, plain, 293.37/40.52 (![X32 : $i > $o, X33 : $i, X34 : $i, X35 : $i]: 293.37/40.52 ( (in @ (sk__82 @ X32 @ X33 @ X34) @ X34) 293.37/40.52 | (X32 @ X35) 293.37/40.52 | ~ (in @ X35 @ X33) 293.37/40.52 | ~ (breln @ X34 @ X34 @ X33))), 293.37/40.52 inference('cnf', [status(esa)], [zf_stmt_1])). 293.37/40.52 thf(zip_derived_cl516, plain, 293.37/40.52 (![X0 : $i, X1 : $i > $o]: 293.37/40.52 (~ (in @ X0 @ sk__77) 293.37/40.52 | (X1 @ X0) 293.37/40.52 | (in @ (sk__82 @ X1 @ sk__77 @ sk__76) @ sk__76))), 293.37/40.52 inference('sup-', [status(thm)], [zip_derived_cl157, zip_derived_cl145])). 293.37/40.52 thf(zip_derived_cl8684, plain, 293.37/40.52 (![X0 : $i]: 293.37/40.52 (~ (in @ 293.37/40.52 (kpair @ 293.37/40.52 (sk__81 @ (^[Y0 : $i]: (in @ Y0 @ sk__78)) @ sk__77 @ sk__76) @ 293.37/40.52 (sk__82 @ (^[Y0 : $i]: (in @ Y0 @ sk__78)) @ sk__77 @ sk__76)) @ 293.37/40.52 sk__77) 293.37/40.52 | (in @ X0 @ sk__78) 293.37/40.52 | ~ (in @ X0 @ sk__77))), 293.37/40.52 inference('clc', [status(thm)], [zip_derived_cl8683, zip_derived_cl516])). 293.37/40.52 thf(zip_derived_cl8775, plain, 293.37/40.52 (![X0 : $i]: 293.37/40.52 (~ ((^[Y0 : $i]: 293.37/40.52 (in @ ((^[Y1 : $i]: (Y1)) @ Y0) @ ((^[Y1 : $i]: (sk__77)) @ Y0))) @ 293.37/40.52 (kpair @ 293.37/40.52 (sk__81 @ 293.37/40.52 (^[Y0 : $i]: 293.37/40.52 (in @ ((^[Y1 : $i]: (Y1)) @ Y0) @ 293.37/40.52 ((^[Y1 : $i]: (sk__77)) @ Y0))) @ 293.37/40.52 sk__77 @ sk__76) @ 293.37/40.52 (sk__82 @ 293.37/40.52 (^[Y0 : $i]: 293.37/40.52 (in @ ((^[Y1 : $i]: (Y1)) @ Y0) @ 293.37/40.52 ((^[Y1 : $i]: (sk__77)) @ Y0))) @ 293.37/40.52 sk__77 @ sk__76))) 293.37/40.52 | ~ (in @ 293.37/40.52 (kpair @ 293.37/40.52 (sk__81 @ (^[Y0 : $i]: (in @ Y0 @ sk__78)) @ sk__77 @ sk__76) @ 293.37/40.52 (sk__82 @ (^[Y0 : $i]: (in @ Y0 @ sk__78)) @ sk__77 @ sk__76)) @ 293.37/40.52 sk__77) 293.37/40.52 | ~ (in @ X0 @ sk__77) 293.37/40.52 | (in @ X0 @ sk__78))), 293.37/40.52 inference('sup-', [status(thm)], [zip_derived_cl667, zip_derived_cl8684])). 293.37/40.52 thf(zip_derived_cl8788, plain, 293.37/40.52 (![X0 : $i]: 293.37/40.52 (~ (in @ 293.37/40.52 (kpair @ 293.37/40.52 (sk__81 @ (^[Y0 : $i]: (in @ Y0 @ sk__77)) @ sk__77 @ sk__76) @ 293.37/40.52 (sk__82 @ (^[Y0 : $i]: (in @ Y0 @ sk__77)) @ sk__77 @ sk__76)) @ 293.37/40.52 sk__77) 293.37/40.52 | ~ (in @ 293.37/40.52 (kpair @ 293.37/40.52 (sk__81 @ (^[Y0 : $i]: (in @ Y0 @ sk__78)) @ sk__77 @ sk__76) @ 293.37/40.52 (sk__82 @ (^[Y0 : $i]: (in @ Y0 @ sk__78)) @ sk__77 @ sk__76)) @ 293.37/40.52 sk__77) 293.37/40.52 | ~ (in @ X0 @ sk__77) 293.37/40.52 | (in @ X0 @ sk__78))), 293.37/40.52 inference('ho_norm', [status(thm)], [zip_derived_cl8775])). 293.37/40.52 thf(zip_derived_cl8684, plain, 293.37/40.52 (![X0 : $i]: 293.37/40.52 (~ (in @ 293.37/40.52 (kpair @ 293.37/40.52 (sk__81 @ (^[Y0 : $i]: (in @ Y0 @ sk__78)) @ sk__77 @ sk__76) @ 293.37/40.52 (sk__82 @ (^[Y0 : $i]: (in @ Y0 @ sk__78)) @ sk__77 @ sk__76)) @ 293.37/40.52 sk__77) 293.37/40.52 | (in @ X0 @ sk__78) 293.37/40.52 | ~ (in @ X0 @ sk__77))), 293.37/40.52 inference('clc', [status(thm)], [zip_derived_cl8683, zip_derived_cl516])). 293.37/40.52 thf(zip_derived_cl12286, plain, 293.37/40.52 (![X0 : $i]: 293.37/40.52 ( (in @ X0 @ sk__78) 293.37/40.52 | ~ (in @ X0 @ sk__77) 293.37/40.52 | ~ (in @ 293.37/40.52 (kpair @ 293.37/40.52 (sk__81 @ (^[Y0 : $i]: (in @ Y0 @ sk__78)) @ sk__77 @ sk__76) @ 293.37/40.52 (sk__82 @ (^[Y0 : $i]: (in @ Y0 @ sk__78)) @ sk__77 @ sk__76)) @ 293.37/40.52 sk__77))), 293.37/40.52 inference('clc', [status(thm)], [zip_derived_cl8788, zip_derived_cl8684])). 293.37/40.52 thf(zip_derived_cl157, plain, ( (breln @ sk__76 @ sk__76 @ sk__77)), 293.37/40.52 inference('cnf', [status(esa)], [zf_stmt_1])). 293.37/40.52 thf(zip_derived_cl147, plain, 293.37/40.52 (![X32 : $i > $o, X33 : $i, X34 : $i, X35 : $i]: 293.37/40.52 ( (in @ 293.37/40.52 (kpair @ (sk__81 @ X32 @ X33 @ X34) @ (sk__82 @ X32 @ X33 @ X34)) @ 293.37/40.52 X33) 293.37/40.52 | (X32 @ X35) 293.37/40.52 | ~ (in @ X35 @ X33) 293.37/40.52 | ~ (breln @ X34 @ X34 @ X33))), 293.37/40.52 inference('cnf', [status(esa)], [zf_stmt_1])). 293.37/40.52 thf(zip_derived_cl738, plain, 293.37/40.52 (![X0 : $i, X1 : $i > $o]: 293.37/40.52 (~ (in @ X0 @ sk__77) 293.37/40.52 | (X1 @ X0) 293.37/40.52 | (in @ 293.37/40.52 (kpair @ (sk__81 @ X1 @ sk__77 @ sk__76) @ 293.37/40.52 (sk__82 @ X1 @ sk__77 @ sk__76)) @ 293.37/40.52 sk__77))), 293.37/40.52 inference('sup-', [status(thm)], [zip_derived_cl157, zip_derived_cl147])). 293.37/40.52 thf(zip_derived_cl12287, plain, 293.37/40.52 (![X0 : $i]: (~ (in @ X0 @ sk__77) | (in @ X0 @ sk__78))), 293.37/40.52 inference('clc', [status(thm)], [zip_derived_cl12286, zip_derived_cl738])). 293.37/40.52 thf(zip_derived_cl39, plain, 293.37/40.52 (![X2 : $i, X3 : $i]: 293.37/40.52 ( (subset @ X2 @ X3) | ~ (in @ (sk__84 @ X3 @ X2) @ X3))), 293.37/40.52 inference('cnf', [status(esa)], [zf_stmt_1])). 293.37/40.52 thf(zip_derived_cl12288, plain, 293.37/40.52 (![X0 : $i]: 293.37/40.52 (~ (in @ (sk__84 @ sk__78 @ X0) @ sk__77) | (subset @ X0 @ sk__78))), 293.37/40.52 inference('sup-', [status(thm)], [zip_derived_cl12287, zip_derived_cl39])). 293.37/40.52 thf(zip_derived_cl17364, plain, 293.37/40.52 (( (subset @ sk__77 @ sk__78) | (subset @ sk__77 @ sk__78))), 293.37/40.52 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl12288])). 293.37/40.52 thf(zip_derived_cl17378, plain, ( (subset @ sk__77 @ sk__78)), 293.37/40.52 inference('simplify', [status(thm)], [zip_derived_cl17364])). 293.37/40.52 thf(zip_derived_cl17380, plain, ($false), 293.37/40.52 inference('demod', [status(thm)], 293.37/40.52 [zip_derived_cl155, zip_derived_cl17378])). 293.37/40.52 293.37/40.52 % SZS output end Refutation 293.37/40.52 293.37/40.52 293.37/40.52 % Terminating... 293.37/40.57 % Runner terminated. 293.37/40.59 % Zipperpin 1.5 exiting 293.37/40.60 EOF