0.00/0.01 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.owgEQG62cB true 0.04/0.37 % Computer : n012.cluster.edu 0.04/0.37 % Model : x86_64 x86_64 0.04/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.04/0.37 % Memory : 8046.5625MB 0.04/0.37 % OS : Linux 6.8.0-71-generic 0.04/0.37 % CPULimit : 1440 0.04/0.37 % WCLimit : 180 0.04/0.37 % DateTime : Mon Jul 27 09:11:38 UTC 2026 0.04/0.38 % CPUTime : 0.04/0.38 % Running portfolio for 1440 s 0.04/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.04/0.38 % Number of cores: 8 0.04/0.38 % Python version: Python 3.12.3 0.04/0.38 % Running in HO mode 0.14/14.99 % Total configuration time : 828 0.14/14.99 % Estimated wc time : 1656 0.14/14.99 % Estimated cpu time (8 cpus) : 207.0 0.37/15.07 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.37/15.07 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.37/15.07 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.37/15.07 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.37/15.07 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.37/15.07 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.37/15.07 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.37/15.08 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 0.79/15.33 % Solved by lams/40_c_ic.sh. 0.79/15.33 % done 361 iterations in 0.191s 0.79/15.33 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 0.79/15.33 % SZS output start Refutation 0.79/15.33 thf(setadjoinAx_type, type, setadjoinAx: $o). 0.79/15.33 thf(notdexE_type, type, notdexE: $o). 0.79/15.33 thf(setukpairinjL2_type, type, setukpairinjL2: $o). 0.79/15.33 thf(doubleComplementI1_type, type, doubleComplementI1: $o). 0.79/15.33 thf(setunionAx_type, type, setunionAx: $o). 0.79/15.33 thf(setminusELneg_type, type, setminusELneg: $o). 0.79/15.33 thf(cartprodsndin_type, type, cartprodsndin: $o). 0.79/15.33 thf(ex1E1_type, type, ex1E1: $o). 0.79/15.33 thf(powersetE_type, type, powersetE: $o). 0.79/15.33 thf(sk__181_type, type, sk__181: $i). 0.79/15.33 thf(omegaSAx_type, type, omegaSAx: $o). 0.79/15.33 thf(exuI1_type, type, exuI1: $o). 0.79/15.33 thf(exuI2_type, type, exuI2: $o). 0.79/15.33 thf(notequalI2_type, type, notequalI2: $o). 0.79/15.33 thf(setukpairinjL_type, type, setukpairinjL: $o). 0.79/15.33 thf(kpairiskpair_type, type, kpairiskpair: $o). 0.79/15.33 thf(upairsubunion_type, type, upairsubunion: $o). 0.79/15.33 thf(funcGraphProp3_type, type, funcGraphProp3: $o). 0.79/15.33 thf(cartprodmempaircEq_type, type, cartprodmempaircEq: $o). 0.79/15.33 thf(binintersectTERcontra_type, type, binintersectTERcontra: $o). 0.79/15.33 thf(powerset__Cong_type, type, powerset__Cong: $o). 0.79/15.33 thf(setminusILneg_type, type, setminusILneg: $o). 0.79/15.33 thf(wellorderingAx_type, type, wellorderingAx: $o). 0.79/15.33 thf(ksndpairEq_type, type, ksndpairEq: $o). 0.79/15.33 thf(funcGraphProp2_type, type, funcGraphProp2: $o). 0.79/15.33 thf(setadjoinSub2_type, type, setadjoinSub2: $o). 0.79/15.33 thf(binintersectSubset5_type, type, binintersectSubset5: $o). 0.79/15.33 thf(iftrue_type, type, iftrue: $o). 0.79/15.33 thf(upairinpowunion_type, type, upairinpowunion: $o). 0.79/15.33 thf(ifSingleton_type, type, ifSingleton: $o). 0.79/15.33 thf(doubleComplementSub2_type, type, doubleComplementSub2: $o). 0.79/15.33 thf(setoftrueEq_type, type, setoftrueEq: $o). 0.79/15.33 thf(funcImageSingleton_type, type, funcImageSingleton: $o). 0.79/15.33 thf(inIntersectImpInUnion2_type, type, inIntersectImpInUnion2: $o). 0.79/15.33 thf(dpsetconstrERa_type, type, dpsetconstrERa: $o). 0.79/15.33 thf(lamProp_type, type, lamProp: $o). 0.79/15.33 thf(cartprodpairmemEL_type, type, cartprodpairmemEL: $o). 0.79/15.33 thf(emptyset__Cong_type, type, emptyset__Cong: $o). 0.79/15.33 thf(sk__180_type, type, sk__180: $i). 0.79/15.33 thf(dpsetconstrER_type, type, dpsetconstrER: $o). 0.79/15.33 thf(sepInPowerset_type, type, sepInPowerset: $o). 0.79/15.33 thf(setukpairIR_type, type, setukpairIR: $o). 0.79/15.33 thf(setukpairinjR1_type, type, setukpairinjR1: $o). 0.79/15.33 thf(lam2p_type, type, lam2p: $o). 0.79/15.33 thf(kpair_type, type, kpair: $i > $i > $i). 0.79/15.33 thf(binunionE_type, type, binunionE: $o). 0.79/15.33 thf(setext_type, type, setext: $o). 0.79/15.33 thf(emptyinPowerset_type, type, emptyinPowerset: $o). 0.79/15.33 thf(ubforcartprodlem1_type, type, ubforcartprodlem1: $o). 0.79/15.33 thf(descr__Cong_type, type, descr__Cong: $o). 0.79/15.33 thf(kfstsingleton_type, type, kfstsingleton: $o). 0.79/15.33 thf(binintersectTELcontra_type, type, binintersectTELcontra: $o). 0.79/15.33 thf(doubleComplementEq_type, type, doubleComplementEq: $o). 0.79/15.33 thf(eqbreln_type, type, eqbreln: $o). 0.79/15.33 thf(binintersectSubset1_type, type, binintersectSubset1: $o). 0.79/15.33 thf(complementImpComplementIntersect_type, type, complementImpComplementIntersect: 0.79/15.33 $o). 0.79/15.33 thf(in_type, type, in: $i > $i > $o). 0.79/15.33 thf(binunionT_lem_type, type, binunionT_lem: $o). 0.79/15.33 thf(quantDeMorgan1_type, type, quantDeMorgan1: $o). 0.79/15.33 thf(complementT_lem_type, type, complementT_lem: $o). 0.79/15.33 thf(binunion_type, type, binunion: $i > $i > $i). 0.79/15.33 thf(kpairsurjEq_type, type, kpairsurjEq: $o). 0.79/15.33 thf(setadjoinIR_type, type, setadjoinIR: $o). 0.79/15.33 thf(doubleComplementE1_type, type, doubleComplementE1: $o). 0.79/15.33 thf(beta1_type, type, beta1: $o). 0.79/15.33 thf(setadjoin__Cong_type, type, setadjoin__Cong: $o). 0.79/15.33 thf(powersetTE1_type, type, powersetTE1: $o). 0.79/15.33 thf(symdiffI2_type, type, symdiffI2: $o). 0.79/15.33 thf(iftrueProp2_type, type, iftrueProp2: $o). 0.79/15.33 thf(upairset2IR_type, type, upairset2IR: $o). 0.79/15.33 thf(iffalseProp2_type, type, iffalseProp2: $o). 0.79/15.33 thf(subsetE_type, type, subsetE: $o). 0.79/15.33 thf(prop2set2propI_type, type, prop2set2propI: $o). 0.79/15.33 thf(dsetconstrEL_type, type, dsetconstrEL: $o). 0.79/15.33 thf(setbeta_type, type, setbeta: $o). 0.79/15.33 thf(eqinunit_type, type, eqinunit: $o). 0.79/15.33 thf(upairsetIL_type, type, upairsetIL: $o). 0.79/15.33 thf(powersetI1_type, type, powersetI1: $o). 0.79/15.33 thf(kfstpairEq_type, type, kfstpairEq: $o). 0.79/15.33 thf(binintersectSubset3_type, type, binintersectSubset3: $o). 0.79/15.33 thf(inComplementUnionImpNotIn1_type, type, inComplementUnionImpNotIn1: $o). 0.79/15.33 thf(setminusIRneg_type, type, setminusIRneg: $o). 0.79/15.33 thf(ap2apEq1_type, type, ap2apEq1: $o). 0.79/15.33 thf(powersetAx_type, type, powersetAx: $o). 0.79/15.33 thf(binintersectSubset4_type, type, binintersectSubset4: $o). 0.79/15.33 thf(singletoninpowunion_type, type, singletoninpowunion: $o). 0.79/15.33 thf(binunionTIRcontra_type, type, binunionTIRcontra: $o). 0.79/15.33 thf(powersetI_type, type, powersetI: $o). 0.79/15.33 thf(cartprodmempair_type, type, cartprodmempair: $o). 0.79/15.33 thf(upairsetIR_type, type, upairsetIR: $o). 0.79/15.33 thf(lamp_type, type, lamp: $o). 0.79/15.33 thf(dpsetconstrEL1_type, type, dpsetconstrEL1: $o). 0.79/15.33 thf(inCongP_type, type, inCongP: $o). 0.79/15.33 thf(setadjoinSub_type, type, setadjoinSub: $o). 0.79/15.33 thf(exuE3e_type, type, exuE3e: $o). 0.79/15.33 thf(emptysetE_type, type, emptysetE: $o). 0.79/15.33 thf(binintersectSubset2_type, type, binintersectSubset2: $o). 0.79/15.33 thf(setunionI_type, type, setunionI: $o). 0.79/15.33 thf(setunion__Cong_type, type, setunion__Cong: $o). 0.79/15.33 thf(prop2setI_type, type, prop2setI: $o). 0.79/15.33 thf(singletonsuniq_type, type, singletonsuniq: $o). 0.79/15.33 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o). 0.79/15.33 thf(setminusER_type, type, setminusER: $o). 0.79/15.33 thf(exuE2_type, type, exuE2: $o). 0.79/15.33 thf(emptyset_type, type, emptyset: $i). 0.79/15.33 thf(setukpairinjR11_type, type, setukpairinjR11: $o). 0.79/15.33 thf(ex1I_type, type, ex1I: $o). 0.79/15.33 thf(ex1E2_type, type, ex1E2: $o). 0.79/15.33 thf(setminus_type, type, setminus: $i > $i > $i). 0.79/15.33 thf(setukpairinjL1_type, type, setukpairinjL1: $o). 0.79/15.33 thf(powersetsubset_type, type, powersetsubset: $o). 0.79/15.33 thf(binunionTILcontra_type, type, binunionTILcontra: $o). 0.79/15.33 thf(subPowSU_type, type, subPowSU: $o). 0.79/15.33 thf(notequalI1_type, type, notequalI1: $o). 0.79/15.33 thf(contrasubsetT_type, type, contrasubsetT: $o). 0.79/15.33 thf(notinemptyset_type, type, notinemptyset: $o). 0.79/15.33 thf(lam2lamEq_type, type, lam2lamEq: $o). 0.79/15.33 thf(nonemptyI1_type, type, nonemptyI1: $o). 0.79/15.33 thf(subsetTrans_type, type, subsetTrans: $o). 0.79/15.33 thf(kpairp_type, type, kpairp: $o). 0.79/15.33 thf(setukpairinjR12_type, type, setukpairinjR12: $o). 0.79/15.33 thf(setminusI_type, type, setminusI: $o). 0.79/15.33 thf(binunionIL_type, type, binunionIL: $o). 0.79/15.33 thf(dpsetconstrSub_type, type, dpsetconstrSub: $o). 0.79/15.33 thf(setunionsingleton_type, type, setunionsingleton: $o). 0.79/15.33 thf(subsetE2_type, type, subsetE2: $o). 0.79/15.33 thf(singletonsswitch_type, type, singletonsswitch: $o). 0.79/15.33 thf(ubforcartprodlem3_type, type, ubforcartprodlem3: $o). 0.79/15.33 thf(beta2_type, type, beta2: $o). 0.79/15.33 thf(dpsetconstrI_type, type, dpsetconstrI: $o). 0.79/15.33 thf(setextsub_type, type, setextsub: $o). 0.79/15.33 thf(binunionLsub_type, type, binunionLsub: $o). 0.79/15.33 thf(setunionsingleton1_type, type, setunionsingleton1: $o). 0.79/15.33 thf(binintersect_type, type, binintersect: $i > $i > $i). 0.79/15.33 thf(sk__178_type, type, sk__178: $i). 0.79/15.33 thf(iftrueorfalse_type, type, iftrueorfalse: $o). 0.79/15.33 thf(emptysetsubset_type, type, emptysetsubset: $o). 0.79/15.33 thf(quantDeMorgan3_type, type, quantDeMorgan3: $o). 0.79/15.33 thf(cartprodpairsurjEq_type, type, cartprodpairsurjEq: $o). 0.79/15.33 thf(setOfPairsIsBReln_type, type, setOfPairsIsBReln: $o). 0.79/15.33 thf(setunionE_type, type, setunionE: $o). 0.79/15.33 thf(ksndsingleton_type, type, ksndsingleton: $o). 0.79/15.33 thf(setminusSubset1_type, type, setminusSubset1: $o). 0.79/15.33 thf(powersetT_lem_type, type, powersetT_lem: $o). 0.79/15.33 thf(emptyinunitempty_type, type, emptyinunitempty: $o). 0.79/15.33 thf(binunionIR_type, type, binunionIR: $o). 0.79/15.33 thf(theeq_type, type, theeq: $o). 0.79/15.33 thf(setadjoinE_type, type, setadjoinE: $o). 0.79/15.33 thf(doubleComplementSub1_type, type, doubleComplementSub1: $o). 0.79/15.33 thf(infuncsetfunc_type, type, infuncsetfunc: $o). 0.79/15.33 thf(ap2apEq2_type, type, ap2apEq2: $o). 0.79/15.33 thf(ap2p_type, type, ap2p: $o). 0.79/15.33 thf(setadjoinIL_type, type, setadjoinIL: $o). 0.79/15.33 thf(cartprodsndpairEq_type, type, cartprodsndpairEq: $o). 0.79/15.33 thf(exuE1_type, type, exuE1: $o). 0.79/15.33 thf(ubforcartprodlem2_type, type, ubforcartprodlem2: $o). 0.79/15.33 thf(binintersectRsub_type, type, binintersectRsub: $o). 0.79/15.33 thf(setminusLsub_type, type, setminusLsub: $o). 0.79/15.33 thf(funcextLem_type, type, funcextLem: $o). 0.79/15.33 thf(setukpairinjR_type, type, setukpairinjR: $o). 0.79/15.33 thf(notinsingleton_type, type, notinsingleton: $o). 0.79/15.33 thf(inIntersectImpInIntersectUnions_type, type, inIntersectImpInIntersectUnions: 0.79/15.33 $o). 0.79/15.33 thf(eqimpsubset2_type, type, eqimpsubset2: $o). 0.79/15.33 thf(exuEu_type, type, exuEu: $o). 0.79/15.33 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o). 0.79/15.33 thf(upairsetE_type, type, upairsetE: $o). 0.79/15.33 thf(omega0Ax_type, type, omega0Ax: $o). 0.79/15.33 thf(subsetTI_type, type, subsetTI: $o). 0.79/15.33 thf(notsubsetI_type, type, notsubsetI: $o). 0.79/15.33 thf(contraSubsetComplement_type, type, contraSubsetComplement: $o). 0.79/15.33 thf(sk__179_type, type, sk__179: $i). 0.79/15.33 thf(iffalseProp1_type, type, iffalseProp1: $o). 0.79/15.33 thf(quantDeMorgan4_type, type, quantDeMorgan4: $o). 0.79/15.33 thf(setextAx_type, type, setextAx: $o). 0.79/15.33 thf(cartprodpairmemER_type, type, cartprodpairmemER: $o). 0.79/15.33 thf(powersetE1_type, type, powersetE1: $o). 0.79/15.33 thf(bs114d_type, type, bs114d: $o). 0.79/15.33 thf(contrasubsetT3_type, type, contrasubsetT3: $o). 0.79/15.33 thf(noeltsimpempty_type, type, noeltsimpempty: $o). 0.79/15.33 thf(complementTcontraSubset_type, type, complementTcontraSubset: $o). 0.79/15.33 thf(ifp_type, type, ifp: $o). 0.79/15.33 thf(inIntersectImpInUnion_type, type, inIntersectImpInUnion: $o). 0.79/15.33 thf(powersetTI1_type, type, powersetTI1: $o). 0.79/15.33 thf(binintersectLsub_type, type, binintersectLsub: $o). 0.79/15.33 thf(subsetI1_type, type, subsetI1: $o). 0.79/15.33 thf(symdiffE_type, type, symdiffE: $o). 0.79/15.33 thf(descrp_type, type, descrp: $o). 0.79/15.33 thf(dsetconstr__Cong_type, type, dsetconstr__Cong: $o). 0.79/15.33 thf(foundationAx_type, type, foundationAx: $o). 0.79/15.33 thf(emptysetAx_type, type, emptysetAx: $o). 0.79/15.33 thf(emptyI_type, type, emptyI: $o). 0.79/15.33 thf(setadjoinOr_type, type, setadjoinOr: $o). 0.79/15.33 thf(eta2_type, type, eta2: $o). 0.79/15.33 thf(binintersectEL_type, type, binintersectEL: $o). 0.79/15.33 thf(emptyE1_type, type, emptyE1: $o). 0.79/15.33 thf(emptyInPowerset_type, type, emptyInPowerset: $o). 0.79/15.33 thf(complementTI1_type, type, complementTI1: $o). 0.79/15.33 thf(vacuousDall_type, type, vacuousDall: $o). 0.79/15.33 thf(dsetconstrER_type, type, dsetconstrER: $o). 0.79/15.33 thf(binintersectI_type, type, binintersectI: $o). 0.79/15.33 thf(funcext_type, type, funcext: $o). 0.79/15.33 thf(funcGraphProp4_type, type, funcGraphProp4: $o). 0.79/15.33 thf(cartprodpairin_type, type, cartprodpairin: $o). 0.79/15.33 thf(cartprodmempair1_type, type, cartprodmempair1: $o). 0.79/15.33 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o). 0.79/15.33 thf(brelnall2_type, type, brelnall2: $o). 0.79/15.33 thf(setextT_type, type, setextT: $o). 0.79/15.33 thf(ex1I2_type, type, ex1I2: $o). 0.79/15.33 thf(symdiffI1_type, type, symdiffI1: $o). 0.79/15.33 thf(setukpairinjR2_type, type, setukpairinjR2: $o). 0.79/15.33 thf(dpsetconstrEL2_type, type, dpsetconstrEL2: $o). 0.79/15.33 thf(theprop_type, type, theprop: $o). 0.79/15.33 thf(subsetI2_type, type, subsetI2: $o). 0.79/15.33 thf(complementInPowersetComplementIntersect_type, type, complementInPowersetComplementIntersect: 0.79/15.33 $o). 0.79/15.33 thf(setminusT_lem_type, type, setminusT_lem: $o). 0.79/15.33 thf(symdiffIneg1_type, type, symdiffIneg1: $o). 0.79/15.33 thf(setminusERneg_type, type, setminusERneg: $o). 0.79/15.33 thf(symdiffIneg2_type, type, symdiffIneg2: $o). 0.79/15.33 thf(omega__Cong_type, type, omega__Cong: $o). 0.79/15.33 thf(subsetRefl_type, type, subsetRefl: $o). 0.79/15.33 thf(uniqinunit_type, type, uniqinunit: $o). 0.79/15.33 thf(complementSubsetComplementIntersect_type, type, complementSubsetComplementIntersect: 0.79/15.33 $o). 0.79/15.33 thf(setminusSubset2_type, type, setminusSubset2: $o). 0.79/15.33 thf(prop2setE_type, type, prop2setE: $o). 0.79/15.33 thf(binunionEcases_type, type, binunionEcases: $o). 0.79/15.33 thf(funcinfuncset_type, type, funcinfuncset: $o). 0.79/15.33 thf(complementTE1_type, type, complementTE1: $o). 0.79/15.33 thf(nonemptyI_type, type, nonemptyI: $o). 0.79/15.33 thf(app_type, type, app: $o). 0.79/15.33 thf(disjointsetsI1_type, type, disjointsetsI1: $o). 0.79/15.33 thf(exuE3u_type, type, exuE3u: $o). 0.79/15.33 thf(eta1_type, type, eta1: $o). 0.79/15.33 thf(setminusEL_type, type, setminusEL: $o). 0.79/15.33 thf(cartprodfstin_type, type, cartprodfstin: $o). 0.79/15.33 thf(setunionsingleton2_type, type, setunionsingleton2: $o). 0.79/15.33 thf(sepSubset_type, type, sepSubset: $o). 0.79/15.33 thf(complementTnotintersectT_type, type, complementTnotintersectT: $o). 0.79/15.33 thf(upairset2E_type, type, upairset2E: $o). 0.79/15.33 thf(eqimpsubset1_type, type, eqimpsubset1: $o). 0.79/15.33 thf(exuI3_type, type, exuI3: $o). 0.79/15.33 thf(cartprodfstpairEq_type, type, cartprodfstpairEq: $o). 0.79/15.33 thf(apProp_type, type, apProp: $o). 0.79/15.33 thf(notdallE_type, type, notdallE: $o). 0.79/15.33 thf(iftrueProp1_type, type, iftrueProp1: $o). 0.79/15.33 thf(binintersectER_type, type, binintersectER: $o). 0.79/15.33 thf(brelnall1_type, type, brelnall1: $o). 0.79/15.33 thf(powerset_type, type, powerset: $i > $i). 0.79/15.33 thf(dsetconstrI_type, type, dsetconstrI: $o). 0.79/15.33 thf(funcGraphProp1_type, type, funcGraphProp1: $o). 0.79/15.33 thf(binintersectT_lem_type, type, binintersectT_lem: $o). 0.79/15.33 thf(setadjoin_type, type, setadjoin: $i > $i > $i). 0.79/15.33 thf(exu__Cong_type, type, exu__Cong: $o). 0.79/15.33 thf(intersectInPowersetIntersectUnions_type, type, intersectInPowersetIntersectUnions: 0.79/15.33 $o). 0.79/15.33 thf(quantDeMorgan2_type, type, quantDeMorgan2: $o). 0.79/15.33 thf(contrasubsetT2_type, type, contrasubsetT2: $o). 0.79/15.33 thf(secondinupair_type, type, secondinupair: $o). 0.79/15.33 thf(singletonprop_type, type, singletonprop: $o). 0.79/15.33 thf(singletonsubset_type, type, singletonsubset: $o). 0.79/15.33 thf(contrasubsetT1_type, type, contrasubsetT1: $o). 0.79/15.33 thf(singletoninpowerset_type, type, singletoninpowerset: $o). 0.79/15.33 thf(subsetemptysetimpeq_type, type, subsetemptysetimpeq: $o). 0.79/15.33 thf(replAx_type, type, replAx: $o). 0.79/15.33 thf(upairequniteq_type, type, upairequniteq: $o). 0.79/15.33 thf(nonemptyE1_type, type, nonemptyE1: $o). 0.79/15.33 thf(omegaIndAx_type, type, omegaIndAx: $o). 0.79/15.33 thf(setukpairIL_type, type, setukpairIL: $o). 0.79/15.33 thf(setunionE2_type, type, setunionE2: $o). 0.79/15.33 thf(inPowerset_type, type, inPowerset: $o). 0.79/15.33 thf(iffalse_type, type, iffalse: $o). 0.79/15.33 thf(funcext2_type, type, funcext2: $o). 0.79/15.33 thf(subset_type, type, subset: $i > $i > $o). 0.79/15.33 thf(subbreln_type, type, subbreln: $o). 0.79/15.33 thf(in__Cong_type, type, in__Cong: $o). 0.79/15.33 thf(binunionRsub_type, type, binunionRsub: $o). 0.79/15.33 thf(subset2powerset_type, type, subset2powerset: $o). 0.79/15.33 thf(inComplementUnionImpNotIn1, axiom, inComplementUnionImpNotIn1 = 0.79/15.33 (![A:$i,X:$i]: 0.79/15.33 ( ( in @ X @ ( powerset @ A ) ) => 0.79/15.33 ( ![Y:$i]: 0.79/15.33 ( ( in @ Y @ ( powerset @ A ) ) => 0.79/15.33 ( ![Xx:$i]: 0.79/15.33 ( ( in @ Xx @ A ) => 0.79/15.33 ( ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) ) => 0.79/15.33 ( ~( in @ Xx @ X ) ) ) ) ) ) ) ))). 0.79/15.33 thf('0', plain, 0.79/15.33 (( inComplementUnionImpNotIn1 ) = 0.79/15.33 ( ![X4:$i,X6:$i]: 0.79/15.33 ( ( in @ X6 @ ( powerset @ X4 ) ) => 0.79/15.33 ( ![X8:$i]: 0.79/15.33 ( ( in @ X8 @ ( powerset @ X4 ) ) => 0.79/15.33 ( ![X10:$i]: 0.79/15.33 ( ( in @ X10 @ X4 ) => 0.79/15.33 ( ( in @ X10 @ ( setminus @ X4 @ ( binunion @ X6 @ X8 ) ) ) => 0.79/15.33 ( ~( in @ X10 @ X6 ) ) ) ) ) ) ) ) )), 0.79/15.33 define([status(thm)])). 0.79/15.33 thf(intersectInPowersetIntersectUnions, axiom, 0.79/15.33 intersectInPowersetIntersectUnions = 0.79/15.33 (![A:$i,X:$i]: 0.79/15.33 ( ( in @ X @ ( powerset @ A ) ) => 0.79/15.33 ( ![Y:$i]: 0.79/15.33 ( ( in @ Y @ ( powerset @ A ) ) => 0.79/15.33 ( ![Z:$i]: 0.79/15.33 ( ( in @ Z @ ( powerset @ A ) ) => 0.79/15.33 ( in @ 0.79/15.33 ( binintersect @ X @ Y ) @ 0.79/15.33 ( powerset @ 0.79/15.33 ( binintersect @ ( binunion @ X @ Z ) @ ( binunion @ Y @ Z ) ) ) ) ) ) ) ) ))). 0.79/15.33 thf('1', plain, 0.79/15.33 (( intersectInPowersetIntersectUnions ) = 0.79/15.33 ( ![X4:$i,X6:$i]: 0.79/15.33 ( ( in @ X6 @ ( powerset @ X4 ) ) => 0.79/15.33 ( ![X8:$i]: 0.79/15.33 ( ( in @ X8 @ ( powerset @ X4 ) ) => 0.79/15.33 ( ![X10:$i]: 0.79/15.33 ( ( in @ X10 @ ( powerset @ X4 ) ) => 0.79/15.33 ( in @ 0.79/15.33 ( binintersect @ X6 @ X8 ) @ 0.79/15.33 ( powerset @ 0.79/15.33 ( binintersect @ 0.79/15.33 ( binunion @ X6 @ X10 ) @ ( binunion @ X8 @ X10 ) ) ) ) ) ) ) ) ) )), 0.79/15.33 define([status(thm)])). 0.79/15.33 thf(inIntersectImpInIntersectUnions, axiom, inIntersectImpInIntersectUnions = 0.79/15.33 (![A:$i,X:$i]: 0.79/15.33 ( ( in @ X @ ( powerset @ A ) ) => 0.79/15.33 ( ![Y:$i]: 0.79/15.33 ( ( in @ Y @ ( powerset @ A ) ) => 0.79/15.33 ( ![Z:$i]: 0.79/15.33 ( ( in @ Z @ ( powerset @ A ) ) => 0.79/15.33 ( ![Xx:$i]: 0.79/15.33 ( ( in @ Xx @ A ) => 0.79/15.33 ( ( in @ Xx @ ( binintersect @ X @ Y ) ) => 0.79/15.33 ( in @ 0.79/15.33 Xx @ 0.79/15.33 ( binintersect @ 0.79/15.33 ( binunion @ X @ Z ) @ ( binunion @ Y @ Z ) ) ) ) ) ) ) ) ) ) ))). 0.79/15.33 thf('2', plain, 0.79/15.33 (( inIntersectImpInIntersectUnions ) = 0.79/15.33 ( ![X4:$i,X6:$i]: 0.79/15.33 ( ( in @ X6 @ ( powerset @ X4 ) ) => 0.79/15.33 ( ![X8:$i]: 0.79/15.33 ( ( in @ X8 @ ( powerset @ X4 ) ) => 0.79/15.33 ( ![X10:$i]: 0.79/15.33 ( ( in @ X10 @ ( powerset @ X4 ) ) => 0.79/15.33 ( ![X12:$i]: 0.79/15.33 ( ( in @ X12 @ X4 ) => 0.79/15.33 ( ( in @ X12 @ ( binintersect @ X6 @ X8 ) ) => 0.79/15.33 ( in @ 0.79/15.33 X12 @ 0.79/15.33 ( binintersect @ 0.79/15.33 ( binunion @ X6 @ X10 ) @ ( binunion @ X8 @ X10 ) ) ) ) ) ) ) ) ) ) ) )), 0.79/15.33 define([status(thm)])). 0.79/15.33 thf(inIntersectImpInUnion2, axiom, inIntersectImpInUnion2 = 0.79/15.33 (![A:$i,X:$i]: 0.79/15.33 ( ( in @ X @ ( powerset @ A ) ) => 0.79/15.33 ( ![Y:$i]: 0.79/15.33 ( ( in @ Y @ ( powerset @ A ) ) => 0.79/15.33 ( ![Z:$i]: 0.79/15.33 ( ( in @ Z @ ( powerset @ A ) ) => 0.79/15.33 ( ![Xx:$i]: 0.79/15.33 ( ( in @ Xx @ A ) => 0.79/15.33 ( ( in @ Xx @ ( binintersect @ X @ Y ) ) => 0.79/15.33 ( in @ Xx @ ( binunion @ Y @ Z ) ) ) ) ) ) ) ) ) ))). 0.79/15.33 thf('3', plain, 0.79/15.33 (( inIntersectImpInUnion2 ) = 0.79/15.33 ( ![X4:$i,X6:$i]: 0.79/15.33 ( ( in @ X6 @ ( powerset @ X4 ) ) => 0.79/15.33 ( ![X8:$i]: 0.79/15.33 ( ( in @ X8 @ ( powerset @ X4 ) ) => 0.79/15.33 ( ![X10:$i]: 0.79/15.33 ( ( in @ X10 @ ( powerset @ X4 ) ) => 0.79/15.33 ( ![X12:$i]: 0.79/15.33 ( ( in @ X12 @ X4 ) => 0.79/15.33 ( ( in @ X12 @ ( binintersect @ X6 @ X8 ) ) => 0.79/15.33 ( in @ X12 @ ( binunion @ X8 @ X10 ) ) ) ) ) ) ) ) ) ) )), 0.79/15.33 define([status(thm)])). 0.79/15.33 thf(inIntersectImpInUnion, axiom, inIntersectImpInUnion = 0.79/15.33 (![A:$i,X:$i]: 0.79/15.33 ( ( in @ X @ ( powerset @ A ) ) => 0.79/15.33 ( ![Y:$i]: 0.79/15.33 ( ( in @ Y @ ( powerset @ A ) ) => 0.79/15.33 ( ![Z:$i]: 0.79/15.33 ( ( in @ Z @ ( powerset @ A ) ) => 0.79/15.33 ( ![Xx:$i]: 0.79/15.33 ( ( in @ Xx @ A ) => 0.79/15.33 ( ( in @ Xx @ ( binintersect @ X @ Y ) ) => 0.79/15.33 ( in @ Xx @ ( binunion @ X @ Z ) ) ) ) ) ) ) ) ) ))). 0.79/15.33 thf('4', plain, 0.79/15.33 (( inIntersectImpInUnion ) = 0.79/15.33 ( ![X4:$i,X6:$i]: 0.79/15.33 ( ( in @ X6 @ ( powerset @ X4 ) ) => 0.79/15.33 ( ![X8:$i]: 0.79/15.33 ( ( in @ X8 @ ( powerset @ X4 ) ) => 0.79/15.33 ( ![X10:$i]: 0.79/15.33 ( ( in @ X10 @ ( powerset @ X4 ) ) => 0.79/15.33 ( ![X12:$i]: 0.79/15.33 ( ( in @ X12 @ X4 ) => 0.79/15.33 ( ( in @ X12 @ ( binintersect @ X6 @ X8 ) ) => 0.79/15.33 ( in @ X12 @ ( binunion @ X6 @ X10 ) ) ) ) ) ) ) ) ) ) )), 0.79/15.33 define([status(thm)])). 0.79/15.33 thf(binunionTIRcontra, axiom, binunionTIRcontra = 0.79/15.33 (![A:$i,X:$i]: 0.79/15.33 ( ( in @ X @ ( powerset @ A ) ) => 0.79/15.33 ( ![Y:$i]: 0.79/15.33 ( ( in @ Y @ ( powerset @ A ) ) => 0.79/15.33 ( ![Xx:$i]: 0.79/15.33 ( ( in @ Xx @ A ) => 0.79/15.33 ( ( ~( in @ Xx @ ( binunion @ X @ Y ) ) ) => 0.79/15.33 ( ~( in @ Xx @ Y ) ) ) ) ) ) ) ))). 0.79/15.33 thf('5', plain, 0.79/15.33 (( binunionTIRcontra ) = 0.79/15.33 ( ![X4:$i,X6:$i]: 0.79/15.33 ( ( in @ X6 @ ( powerset @ X4 ) ) => 0.79/15.33 ( ![X8:$i]: 0.79/15.33 ( ( in @ X8 @ ( powerset @ X4 ) ) => 0.79/15.33 ( ![X10:$i]: 0.79/15.33 ( ( in @ X10 @ X4 ) => 0.79/15.33 ( ( ~( in @ X10 @ ( binunion @ X6 @ X8 ) ) ) => 0.79/15.33 ( ~( in @ X10 @ X8 ) ) ) ) ) ) ) ) )), 0.79/15.33 define([status(thm)])). 0.79/15.33 thf(binunionTILcontra, axiom, binunionTILcontra = 0.79/15.33 (![A:$i,X:$i]: 0.79/15.33 ( ( in @ X @ ( powerset @ A ) ) => 0.79/15.33 ( ![Y:$i]: 0.79/15.33 ( ( in @ Y @ ( powerset @ A ) ) => 0.79/15.33 ( ![Xx:$i]: 0.79/15.33 ( ( in @ Xx @ A ) => 0.79/15.33 ( ( ~( in @ Xx @ ( binunion @ X @ Y ) ) ) => 0.79/15.33 ( ~( in @ Xx @ X ) ) ) ) ) ) ) ))). 0.79/15.33 thf('6', plain, 0.79/15.34 (( binunionTILcontra ) = 0.79/15.34 ( ![X4:$i,X6:$i]: 0.79/15.34 ( ( in @ X6 @ ( powerset @ X4 ) ) => 0.79/15.34 ( ![X8:$i]: 0.79/15.34 ( ( in @ X8 @ ( powerset @ X4 ) ) => 0.79/15.34 ( ![X10:$i]: 0.79/15.34 ( ( in @ X10 @ X4 ) => 0.79/15.34 ( ( ~( in @ X10 @ ( binunion @ X6 @ X8 ) ) ) => 0.79/15.34 ( ~( in @ X10 @ X6 ) ) ) ) ) ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(complementTcontraSubset, axiom, complementTcontraSubset = 0.79/15.34 (![A:$i,X:$i]: 0.79/15.34 ( ( in @ X @ ( powerset @ A ) ) => 0.79/15.34 ( ![Y:$i]: 0.79/15.34 ( ( in @ Y @ ( powerset @ A ) ) => 0.79/15.34 ( ( subset @ X @ ( setminus @ A @ Y ) ) => 0.79/15.34 ( subset @ Y @ ( setminus @ A @ X ) ) ) ) ) ))). 0.79/15.34 thf('7', plain, 0.79/15.34 (( complementTcontraSubset ) = 0.79/15.34 ( ![X4:$i,X6:$i]: 0.79/15.34 ( ( in @ X6 @ ( powerset @ X4 ) ) => 0.79/15.34 ( ![X8:$i]: 0.79/15.34 ( ( in @ X8 @ ( powerset @ X4 ) ) => 0.79/15.34 ( ( subset @ X6 @ ( setminus @ X4 @ X8 ) ) => 0.79/15.34 ( subset @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(contraSubsetComplement, axiom, contraSubsetComplement = 0.79/15.34 (![A:$i,X:$i]: 0.79/15.34 ( ( in @ X @ ( powerset @ A ) ) => 0.79/15.34 ( ![Y:$i]: 0.79/15.34 ( ( in @ Y @ ( powerset @ A ) ) => 0.79/15.34 ( ( subset @ X @ ( setminus @ A @ Y ) ) => 0.79/15.34 ( ![Xx:$i]: 0.79/15.34 ( ( in @ Xx @ A ) => 0.79/15.34 ( ( in @ Xx @ Y ) => ( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ) ) ))). 0.79/15.34 thf('8', plain, 0.79/15.34 (( contraSubsetComplement ) = 0.79/15.34 ( ![X4:$i,X6:$i]: 0.79/15.34 ( ( in @ X6 @ ( powerset @ X4 ) ) => 0.79/15.34 ( ![X8:$i]: 0.79/15.34 ( ( in @ X8 @ ( powerset @ X4 ) ) => 0.79/15.34 ( ( subset @ X6 @ ( setminus @ X4 @ X8 ) ) => 0.79/15.34 ( ![X10:$i]: 0.79/15.34 ( ( in @ X10 @ X4 ) => 0.79/15.34 ( ( in @ X10 @ X8 ) => 0.79/15.34 ( in @ X10 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(doubleComplementEq, axiom, doubleComplementEq = 0.79/15.34 (![A:$i,X:$i]: 0.79/15.34 ( ( in @ X @ ( powerset @ A ) ) => 0.79/15.34 ( ( X ) = ( setminus @ A @ ( setminus @ A @ X ) ) ) ))). 0.79/15.34 thf('9', plain, 0.79/15.34 (( doubleComplementEq ) = 0.79/15.34 ( ![X4:$i,X6:$i]: 0.79/15.34 ( ( in @ X6 @ ( powerset @ X4 ) ) => 0.79/15.34 ( ( X6 ) = ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(doubleComplementSub2, axiom, doubleComplementSub2 = 0.79/15.34 (![A:$i,X:$i]: 0.79/15.34 ( ( in @ X @ ( powerset @ A ) ) => 0.79/15.34 ( subset @ ( setminus @ A @ ( setminus @ A @ X ) ) @ X ) ))). 0.79/15.34 thf('10', plain, 0.79/15.34 (( doubleComplementSub2 ) = 0.79/15.34 ( ![X4:$i,X6:$i]: 0.79/15.34 ( ( in @ X6 @ ( powerset @ X4 ) ) => 0.79/15.34 ( subset @ ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) @ X6 ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(doubleComplementSub1, axiom, doubleComplementSub1 = 0.79/15.34 (![A:$i,X:$i]: 0.79/15.34 ( ( in @ X @ ( powerset @ A ) ) => 0.79/15.34 ( subset @ X @ ( setminus @ A @ ( setminus @ A @ X ) ) ) ))). 0.79/15.34 thf('11', plain, 0.79/15.34 (( doubleComplementSub1 ) = 0.79/15.34 ( ![X4:$i,X6:$i]: 0.79/15.34 ( ( in @ X6 @ ( powerset @ X4 ) ) => 0.79/15.34 ( subset @ X6 @ ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(doubleComplementE1, axiom, doubleComplementE1 = 0.79/15.34 (![A:$i,X:$i]: 0.79/15.34 ( ( in @ X @ ( powerset @ A ) ) => 0.79/15.34 ( ![Xx:$i]: 0.79/15.34 ( ( in @ Xx @ A ) => 0.79/15.34 ( ( in @ Xx @ ( setminus @ A @ ( setminus @ A @ X ) ) ) => 0.79/15.34 ( in @ Xx @ X ) ) ) ) ))). 0.79/15.34 thf('12', plain, 0.79/15.34 (( doubleComplementE1 ) = 0.79/15.34 ( ![X4:$i,X6:$i]: 0.79/15.34 ( ( in @ X6 @ ( powerset @ X4 ) ) => 0.79/15.34 ( ![X8:$i]: 0.79/15.34 ( ( in @ X8 @ X4 ) => 0.79/15.34 ( ( in @ X8 @ ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) ) => 0.79/15.34 ( in @ X8 @ X6 ) ) ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(doubleComplementI1, axiom, doubleComplementI1 = 0.79/15.34 (![A:$i,X:$i]: 0.79/15.34 ( ( in @ X @ ( powerset @ A ) ) => 0.79/15.34 ( ![Xx:$i]: 0.79/15.34 ( ( in @ Xx @ A ) => 0.79/15.34 ( ( in @ Xx @ X ) => 0.79/15.34 ( in @ Xx @ ( setminus @ A @ ( setminus @ A @ X ) ) ) ) ) ) ))). 0.79/15.34 thf('13', plain, 0.79/15.34 (( doubleComplementI1 ) = 0.79/15.34 ( ![X4:$i,X6:$i]: 0.79/15.34 ( ( in @ X6 @ ( powerset @ X4 ) ) => 0.79/15.34 ( ![X8:$i]: 0.79/15.34 ( ( in @ X8 @ X4 ) => 0.79/15.34 ( ( in @ X8 @ X6 ) => 0.79/15.34 ( in @ X8 @ ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(contrasubsetT3, axiom, contrasubsetT3 = 0.79/15.34 (![A:$i,X:$i]: 0.79/15.34 ( ( in @ X @ ( powerset @ A ) ) => 0.79/15.34 ( ![Y:$i]: 0.79/15.34 ( ( in @ Y @ ( powerset @ A ) ) => 0.79/15.34 ( ( subset @ ( setminus @ A @ Y ) @ ( setminus @ A @ X ) ) => 0.79/15.34 ( subset @ X @ Y ) ) ) ) ))). 0.79/15.34 thf('14', plain, 0.79/15.34 (( contrasubsetT3 ) = 0.79/15.34 ( ![X4:$i,X6:$i]: 0.79/15.34 ( ( in @ X6 @ ( powerset @ X4 ) ) => 0.79/15.34 ( ![X8:$i]: 0.79/15.34 ( ( in @ X8 @ ( powerset @ X4 ) ) => 0.79/15.34 ( ( subset @ ( setminus @ X4 @ X8 ) @ ( setminus @ X4 @ X6 ) ) => 0.79/15.34 ( subset @ X6 @ X8 ) ) ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(contrasubsetT2, axiom, contrasubsetT2 = 0.79/15.34 (![A:$i,X:$i]: 0.79/15.34 ( ( in @ X @ ( powerset @ A ) ) => 0.79/15.34 ( ![Y:$i]: 0.79/15.34 ( ( in @ Y @ ( powerset @ A ) ) => 0.79/15.34 ( ( subset @ X @ Y ) => 0.79/15.34 ( subset @ ( setminus @ A @ Y ) @ ( setminus @ A @ X ) ) ) ) ) ))). 0.79/15.34 thf('15', plain, 0.79/15.34 (( contrasubsetT2 ) = 0.79/15.34 ( ![X4:$i,X6:$i]: 0.79/15.34 ( ( in @ X6 @ ( powerset @ X4 ) ) => 0.79/15.34 ( ![X8:$i]: 0.79/15.34 ( ( in @ X8 @ ( powerset @ X4 ) ) => 0.79/15.34 ( ( subset @ X6 @ X8 ) => 0.79/15.34 ( subset @ ( setminus @ X4 @ X8 ) @ ( setminus @ X4 @ X6 ) ) ) ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(contrasubsetT, axiom, contrasubsetT = 0.79/15.34 (![A:$i,X:$i]: 0.79/15.34 ( ( in @ X @ ( powerset @ A ) ) => 0.79/15.34 ( ![Y:$i]: 0.79/15.34 ( ( in @ Y @ ( powerset @ A ) ) => 0.79/15.34 ( ![Xx:$i]: 0.79/15.34 ( ( in @ Xx @ A ) => 0.79/15.34 ( ( subset @ X @ ( setminus @ A @ Y ) ) => 0.79/15.34 ( ( in @ Xx @ Y ) => ( ~( in @ Xx @ X ) ) ) ) ) ) ) ) ))). 0.79/15.34 thf('16', plain, 0.79/15.34 (( contrasubsetT ) = 0.79/15.34 ( ![X4:$i,X6:$i]: 0.79/15.34 ( ( in @ X6 @ ( powerset @ X4 ) ) => 0.79/15.34 ( ![X8:$i]: 0.79/15.34 ( ( in @ X8 @ ( powerset @ X4 ) ) => 0.79/15.34 ( ![X10:$i]: 0.79/15.34 ( ( in @ X10 @ X4 ) => 0.79/15.34 ( ( subset @ X6 @ ( setminus @ X4 @ X8 ) ) => 0.79/15.34 ( ( in @ X10 @ X8 ) => ( ~( in @ X10 @ X6 ) ) ) ) ) ) ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(complementTE1, axiom, complementTE1 = 0.79/15.34 (![A:$i,X:$i]: 0.79/15.34 ( ( in @ X @ ( powerset @ A ) ) => 0.79/15.34 ( ![Xx:$i]: 0.79/15.34 ( ( in @ Xx @ A ) => 0.79/15.34 ( ( ~( in @ Xx @ ( setminus @ A @ X ) ) ) => ( in @ Xx @ X ) ) ) ) ))). 0.79/15.34 thf('17', plain, 0.79/15.34 (( complementTE1 ) = 0.79/15.34 ( ![X4:$i,X6:$i]: 0.79/15.34 ( ( in @ X6 @ ( powerset @ X4 ) ) => 0.79/15.34 ( ![X8:$i]: 0.79/15.34 ( ( in @ X8 @ X4 ) => 0.79/15.34 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => ( in @ X8 @ X6 ) ) ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(complementTI1, axiom, complementTI1 = 0.79/15.34 (![A:$i,X:$i]: 0.79/15.34 ( ( in @ X @ ( powerset @ A ) ) => 0.79/15.34 ( ![Xx:$i]: 0.79/15.34 ( ( in @ Xx @ A ) => 0.79/15.34 ( ( in @ Xx @ X ) => ( ~( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ))). 0.79/15.34 thf('18', plain, 0.79/15.34 (( complementTI1 ) = 0.79/15.34 ( ![X4:$i,X6:$i]: 0.79/15.34 ( ( in @ X6 @ ( powerset @ X4 ) ) => 0.79/15.34 ( ![X8:$i]: 0.79/15.34 ( ( in @ X8 @ X4 ) => 0.79/15.34 ( ( in @ X8 @ X6 ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(powersetTE1, axiom, powersetTE1 = 0.79/15.34 (![A:$i,X:$i]: 0.79/15.34 ( ( in @ X @ ( powerset @ A ) ) => 0.79/15.34 ( ![Y:$i]: 0.79/15.34 ( ( in @ Y @ ( powerset @ A ) ) => 0.79/15.34 ( ![Xx:$i]: 0.79/15.34 ( ( in @ Xx @ A ) => 0.79/15.34 ( ( in @ X @ ( powerset @ Y ) ) => 0.79/15.34 ( ( in @ Xx @ X ) => ( in @ Xx @ Y ) ) ) ) ) ) ) ))). 0.79/15.34 thf('19', plain, 0.79/15.34 (( powersetTE1 ) = 0.79/15.34 ( ![X4:$i,X6:$i]: 0.79/15.34 ( ( in @ X6 @ ( powerset @ X4 ) ) => 0.79/15.34 ( ![X8:$i]: 0.79/15.34 ( ( in @ X8 @ ( powerset @ X4 ) ) => 0.79/15.34 ( ![X10:$i]: 0.79/15.34 ( ( in @ X10 @ X4 ) => 0.79/15.34 ( ( in @ X6 @ ( powerset @ X8 ) ) => 0.79/15.34 ( ( in @ X10 @ X6 ) => ( in @ X10 @ X8 ) ) ) ) ) ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(powersetTI1, axiom, powersetTI1 = 0.79/15.34 (![A:$i,X:$i]: 0.79/15.34 ( ( in @ X @ ( powerset @ A ) ) => 0.79/15.34 ( ![Y:$i]: 0.79/15.34 ( ( in @ Y @ ( powerset @ A ) ) => 0.79/15.34 ( ( ![Xx:$i]: 0.79/15.34 ( ( in @ Xx @ A ) => ( ( in @ Xx @ X ) => ( in @ Xx @ Y ) ) ) ) => 0.79/15.34 ( in @ X @ ( powerset @ Y ) ) ) ) ) ))). 0.79/15.34 thf('20', plain, 0.79/15.34 (( powersetTI1 ) = 0.79/15.34 ( ![X4:$i,X6:$i]: 0.79/15.34 ( ( in @ X6 @ ( powerset @ X4 ) ) => 0.79/15.34 ( ![X8:$i]: 0.79/15.34 ( ( in @ X8 @ ( powerset @ X4 ) ) => 0.79/15.34 ( ( ![X10:$i]: 0.79/15.34 ( ( in @ X10 @ X4 ) => 0.79/15.34 ( ( in @ X10 @ X6 ) => ( in @ X10 @ X8 ) ) ) ) => 0.79/15.34 ( in @ X6 @ ( powerset @ X8 ) ) ) ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(setextT, axiom, setextT = 0.79/15.34 (![A:$i,X:$i]: 0.79/15.34 ( ( in @ X @ ( powerset @ A ) ) => 0.79/15.34 ( ![Y:$i]: 0.79/15.34 ( ( in @ Y @ ( powerset @ A ) ) => 0.79/15.34 ( ( ![Xx:$i]: 0.79/15.34 ( ( in @ Xx @ A ) => ( ( in @ Xx @ X ) => ( in @ Xx @ Y ) ) ) ) => 0.79/15.34 ( ( ![Xx:$i]: 0.79/15.34 ( ( in @ Xx @ A ) => ( ( in @ Xx @ Y ) => ( in @ Xx @ X ) ) ) ) => 0.79/15.34 ( ( X ) = ( Y ) ) ) ) ) ) ))). 0.79/15.34 thf('21', plain, 0.79/15.34 (( setextT ) = 0.79/15.34 ( ![X4:$i,X6:$i]: 0.79/15.34 ( ( in @ X6 @ ( powerset @ X4 ) ) => 0.79/15.34 ( ![X8:$i]: 0.79/15.34 ( ( in @ X8 @ ( powerset @ X4 ) ) => 0.79/15.34 ( ( ![X10:$i]: 0.79/15.34 ( ( in @ X10 @ X4 ) => 0.79/15.34 ( ( in @ X10 @ X6 ) => ( in @ X10 @ X8 ) ) ) ) => 0.79/15.34 ( ( ![X12:$i]: 0.79/15.34 ( ( in @ X12 @ X4 ) => 0.79/15.34 ( ( in @ X12 @ X8 ) => ( in @ X12 @ X6 ) ) ) ) => 0.79/15.34 ( ( X6 ) = ( X8 ) ) ) ) ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(complementT_lem, axiom, complementT_lem = 0.79/15.34 (![A:$i,X:$i]: 0.79/15.34 ( ( in @ X @ ( powerset @ A ) ) => 0.79/15.34 ( in @ ( setminus @ A @ X ) @ ( powerset @ A ) ) ))). 0.79/15.34 thf('22', plain, 0.79/15.34 (( complementT_lem ) = 0.79/15.34 ( ![X4:$i,X6:$i]: 0.79/15.34 ( ( in @ X6 @ ( powerset @ X4 ) ) => 0.79/15.34 ( in @ ( setminus @ X4 @ X6 ) @ ( powerset @ X4 ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(setminusT_lem, axiom, setminusT_lem = 0.79/15.34 (![A:$i,X:$i]: 0.79/15.34 ( ( in @ X @ ( powerset @ A ) ) => 0.79/15.34 ( ![Y:$i]: 0.79/15.34 ( ( in @ Y @ ( powerset @ A ) ) => 0.79/15.34 ( in @ ( setminus @ X @ Y ) @ ( powerset @ A ) ) ) ) ))). 0.79/15.34 thf('23', plain, 0.79/15.34 (( setminusT_lem ) = 0.79/15.34 ( ![X4:$i,X6:$i]: 0.79/15.34 ( ( in @ X6 @ ( powerset @ X4 ) ) => 0.79/15.34 ( ![X8:$i]: 0.79/15.34 ( ( in @ X8 @ ( powerset @ X4 ) ) => 0.79/15.34 ( in @ ( setminus @ X6 @ X8 ) @ ( powerset @ X4 ) ) ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(powersetT_lem, axiom, powersetT_lem = 0.79/15.34 (![A:$i,X:$i]: 0.79/15.34 ( ( in @ X @ ( powerset @ A ) ) => 0.79/15.34 ( in @ ( powerset @ X ) @ ( powerset @ ( powerset @ A ) ) ) ))). 0.79/15.34 thf('24', plain, 0.79/15.34 (( powersetT_lem ) = 0.79/15.34 ( ![X4:$i,X6:$i]: 0.79/15.34 ( ( in @ X6 @ ( powerset @ X4 ) ) => 0.79/15.34 ( in @ ( powerset @ X6 ) @ ( powerset @ ( powerset @ X4 ) ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(binunionT_lem, axiom, binunionT_lem = 0.79/15.34 (![A:$i,X:$i]: 0.79/15.34 ( ( in @ X @ ( powerset @ A ) ) => 0.79/15.34 ( ![Y:$i]: 0.79/15.34 ( ( in @ Y @ ( powerset @ A ) ) => 0.79/15.34 ( in @ ( binunion @ X @ Y ) @ ( powerset @ A ) ) ) ) ))). 0.79/15.34 thf('25', plain, 0.79/15.34 (( binunionT_lem ) = 0.79/15.34 ( ![X4:$i,X6:$i]: 0.79/15.34 ( ( in @ X6 @ ( powerset @ X4 ) ) => 0.79/15.34 ( ![X8:$i]: 0.79/15.34 ( ( in @ X8 @ ( powerset @ X4 ) ) => 0.79/15.34 ( in @ ( binunion @ X6 @ X8 ) @ ( powerset @ X4 ) ) ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(ubforcartprodlem3, axiom, ubforcartprodlem3 = 0.79/15.34 (![A:$i,B:$i,Xx:$i]: 0.79/15.34 ( ( in @ Xx @ A ) => 0.79/15.34 ( ![Xy:$i]: 0.79/15.34 ( ( in @ Xy @ B ) => 0.79/15.34 ( in @ 0.79/15.34 ( kpair @ Xx @ Xy ) @ 0.79/15.34 ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ))). 0.79/15.34 thf('26', plain, 0.79/15.34 (( ubforcartprodlem3 ) = 0.79/15.34 ( ![X4:$i,X6:$i,X8:$i]: 0.79/15.34 ( ( in @ X8 @ X4 ) => 0.79/15.34 ( ![X10:$i]: 0.79/15.34 ( ( in @ X10 @ X6 ) => 0.79/15.34 ( in @ 0.79/15.34 ( kpair @ X8 @ X10 ) @ 0.79/15.34 ( powerset @ ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(ubforcartprodlem2, axiom, ubforcartprodlem2 = 0.79/15.34 (![A:$i,B:$i,Xx:$i]: 0.79/15.34 ( ( in @ Xx @ A ) => 0.79/15.34 ( ![Xy:$i]: 0.79/15.34 ( ( in @ Xy @ B ) => 0.79/15.34 ( in @ 0.79/15.34 ( setadjoin @ 0.79/15.34 ( setadjoin @ Xx @ emptyset ) @ 0.79/15.34 ( setadjoin @ 0.79/15.34 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) @ 0.79/15.34 ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ))). 0.79/15.34 thf('27', plain, 0.79/15.34 (( ubforcartprodlem2 ) = 0.79/15.34 ( ![X4:$i,X6:$i,X8:$i]: 0.79/15.34 ( ( in @ X8 @ X4 ) => 0.79/15.34 ( ![X10:$i]: 0.79/15.34 ( ( in @ X10 @ X6 ) => 0.79/15.34 ( in @ 0.79/15.34 ( setadjoin @ 0.79/15.34 ( setadjoin @ X8 @ emptyset ) @ 0.79/15.34 ( setadjoin @ 0.79/15.34 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 0.79/15.34 emptyset ) ) @ 0.79/15.34 ( powerset @ ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(ubforcartprodlem1, axiom, ubforcartprodlem1 = 0.79/15.34 (![A:$i,B:$i,Xx:$i]: 0.79/15.34 ( ( in @ Xx @ A ) => 0.79/15.34 ( ![Xy:$i]: 0.79/15.34 ( ( in @ Xy @ B ) => 0.79/15.34 ( subset @ 0.79/15.34 ( setadjoin @ 0.79/15.34 ( setadjoin @ Xx @ emptyset ) @ 0.79/15.34 ( setadjoin @ 0.79/15.34 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) @ 0.79/15.34 ( powerset @ ( binunion @ A @ B ) ) ) ) ) ))). 0.79/15.34 thf('28', plain, 0.79/15.34 (( ubforcartprodlem1 ) = 0.79/15.34 ( ![X4:$i,X6:$i,X8:$i]: 0.79/15.34 ( ( in @ X8 @ X4 ) => 0.79/15.34 ( ![X10:$i]: 0.79/15.34 ( ( in @ X10 @ X6 ) => 0.79/15.34 ( subset @ 0.79/15.34 ( setadjoin @ 0.79/15.34 ( setadjoin @ X8 @ emptyset ) @ 0.79/15.34 ( setadjoin @ 0.79/15.34 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 0.79/15.34 emptyset ) ) @ 0.79/15.34 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(upairinpowunion, axiom, upairinpowunion = 0.79/15.34 (![A:$i,B:$i,Xx:$i]: 0.79/15.34 ( ( in @ Xx @ A ) => 0.79/15.34 ( ![Xy:$i]: 0.79/15.34 ( ( in @ Xy @ B ) => 0.79/15.34 ( in @ 0.79/15.34 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ 0.79/15.34 ( powerset @ ( binunion @ A @ B ) ) ) ) ) ))). 0.79/15.34 thf('29', plain, 0.79/15.34 (( upairinpowunion ) = 0.79/15.34 ( ![X4:$i,X6:$i,X8:$i]: 0.79/15.34 ( ( in @ X8 @ X4 ) => 0.79/15.34 ( ![X10:$i]: 0.79/15.34 ( ( in @ X10 @ X6 ) => 0.79/15.34 ( in @ 0.79/15.34 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 0.79/15.34 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(upairsubunion, axiom, upairsubunion = 0.79/15.34 (![A:$i,B:$i,Xx:$i]: 0.79/15.34 ( ( in @ Xx @ A ) => 0.79/15.34 ( ![Xy:$i]: 0.79/15.34 ( ( in @ Xy @ B ) => 0.79/15.34 ( subset @ 0.79/15.34 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ 0.79/15.34 ( binunion @ A @ B ) ) ) ) ))). 0.79/15.34 thf('30', plain, 0.79/15.34 (( upairsubunion ) = 0.79/15.34 ( ![X4:$i,X6:$i,X8:$i]: 0.79/15.34 ( ( in @ X8 @ X4 ) => 0.79/15.34 ( ![X10:$i]: 0.79/15.34 ( ( in @ X10 @ X6 ) => 0.79/15.34 ( subset @ 0.79/15.34 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 0.79/15.34 ( binunion @ X4 @ X6 ) ) ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(singletoninpowunion, axiom, singletoninpowunion = 0.79/15.34 (![A:$i,B:$i,Xx:$i]: 0.79/15.34 ( ( in @ Xx @ A ) => 0.79/15.34 ( in @ 0.79/15.34 ( setadjoin @ Xx @ emptyset ) @ ( powerset @ ( binunion @ A @ B ) ) ) ))). 0.79/15.34 thf('31', plain, 0.79/15.34 (( singletoninpowunion ) = 0.79/15.34 ( ![X4:$i,X6:$i,X8:$i]: 0.79/15.34 ( ( in @ X8 @ X4 ) => 0.79/15.34 ( in @ 0.79/15.34 ( setadjoin @ X8 @ emptyset ) @ 0.79/15.34 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(setminusSubset1, axiom, setminusSubset1 = 0.79/15.34 (![A:$i,B:$i]: 0.79/15.34 ( ( ( setminus @ A @ B ) = ( emptyset ) ) => ( subset @ A @ B ) ))). 0.79/15.34 thf('32', plain, 0.79/15.34 (( setminusSubset1 ) = 0.79/15.34 ( ![X4:$i,X6:$i]: 0.79/15.34 ( ( ( setminus @ X4 @ X6 ) = ( emptyset ) ) => ( subset @ X4 @ X6 ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(setminusLsub, axiom, setminusLsub = 0.79/15.34 (![A:$i,B:$i]: ( subset @ ( setminus @ A @ B ) @ A ))). 0.79/15.34 thf('33', plain, 0.79/15.34 (( setminusLsub ) = 0.79/15.34 ( ![X4:$i,X6:$i]: ( subset @ ( setminus @ X4 @ X6 ) @ X4 ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(setminusIRneg, axiom, setminusIRneg = 0.79/15.34 (![A:$i,B:$i,Xx:$i]: 0.79/15.34 ( ( in @ Xx @ B ) => ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 0.79/15.34 thf('34', plain, 0.79/15.34 (( setminusIRneg ) = 0.79/15.34 ( ![X4:$i,X6:$i,X8:$i]: 0.79/15.34 ( ( in @ X8 @ X6 ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(setminusILneg, axiom, setminusILneg = 0.79/15.34 (![A:$i,B:$i,Xx:$i]: 0.79/15.34 ( ( ~( in @ Xx @ A ) ) => ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 0.79/15.34 thf('35', plain, 0.79/15.34 (( setminusILneg ) = 0.79/15.34 ( ![X4:$i,X6:$i,X8:$i]: 0.79/15.34 ( ( ~( in @ X8 @ X4 ) ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(setminusELneg, axiom, setminusELneg = 0.79/15.34 (![A:$i,B:$i,Xx:$i]: 0.79/15.34 ( ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) => 0.79/15.34 ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))). 0.79/15.34 thf('36', plain, 0.79/15.34 (( setminusELneg ) = 0.79/15.34 ( ![X4:$i,X6:$i,X8:$i]: 0.79/15.34 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => 0.79/15.34 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(setminusERneg, axiom, setminusERneg = 0.79/15.34 (![A:$i,B:$i,Xx:$i]: 0.79/15.34 ( ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) => 0.79/15.34 ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))). 0.79/15.34 thf('37', plain, 0.79/15.34 (( setminusERneg ) = 0.79/15.34 ( ![X4:$i,X6:$i,X8:$i]: 0.79/15.34 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => 0.79/15.34 ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(setminusSubset2, axiom, setminusSubset2 = 0.79/15.34 (![A:$i,B:$i]: 0.79/15.34 ( ( subset @ A @ B ) => ( ( setminus @ A @ B ) = ( emptyset ) ) ))). 0.79/15.34 thf('38', plain, 0.79/15.34 (( setminusSubset2 ) = 0.79/15.34 ( ![X4:$i,X6:$i]: 0.79/15.34 ( ( subset @ X4 @ X6 ) => ( ( setminus @ X4 @ X6 ) = ( emptyset ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(setminusER, axiom, setminusER = 0.79/15.34 (![A:$i,B:$i,Xx:$i]: 0.79/15.34 ( ( in @ Xx @ ( setminus @ A @ B ) ) => ( ~( in @ Xx @ B ) ) ))). 0.79/15.34 thf('39', plain, 0.79/15.34 (( setminusER ) = 0.79/15.34 ( ![X4:$i,X6:$i,X8:$i]: 0.79/15.34 ( ( in @ X8 @ ( setminus @ X4 @ X6 ) ) => ( ~( in @ X8 @ X6 ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(setminusEL, axiom, setminusEL = 0.79/15.34 (![A:$i,B:$i,Xx:$i]: 0.79/15.34 ( ( in @ Xx @ ( setminus @ A @ B ) ) => ( in @ Xx @ A ) ))). 0.79/15.34 thf('40', plain, 0.79/15.34 (( setminusEL ) = 0.79/15.34 ( ![X4:$i,X6:$i,X8:$i]: 0.79/15.34 ( ( in @ X8 @ ( setminus @ X4 @ X6 ) ) => ( in @ X8 @ X4 ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(setminusI, axiom, setminusI = 0.79/15.34 (![A:$i,B:$i,Xx:$i]: 0.79/15.34 ( ( in @ Xx @ A ) => 0.79/15.34 ( ( ~( in @ Xx @ B ) ) => ( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 0.79/15.34 thf('41', plain, 0.79/15.34 (( setminusI ) = 0.79/15.34 ( ![X4:$i,X6:$i,X8:$i]: 0.79/15.34 ( ( in @ X8 @ X4 ) => 0.79/15.34 ( ( ~( in @ X8 @ X6 ) ) => ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(bs114d, axiom, bs114d = 0.79/15.34 (![A:$i,B:$i,C:$i]: 0.79/15.34 ( ( binintersect @ A @ ( binunion @ B @ C ) ) = 0.79/15.34 ( binunion @ ( binintersect @ A @ B ) @ ( binintersect @ A @ C ) ) ))). 0.79/15.34 thf('42', plain, 0.79/15.34 (( bs114d ) = 0.79/15.34 ( ![X4:$i,X6:$i,X8:$i]: 0.79/15.34 ( ( binintersect @ X4 @ ( binunion @ X6 @ X8 ) ) = 0.79/15.34 ( binunion @ ( binintersect @ X4 @ X6 ) @ ( binintersect @ X4 @ X8 ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(binunionRsub, axiom, binunionRsub = 0.79/15.34 (![A:$i,B:$i]: ( subset @ B @ ( binunion @ A @ B ) ))). 0.79/15.34 thf('43', plain, 0.79/15.34 (( binunionRsub ) = 0.79/15.34 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( binunion @ X4 @ X6 ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(binunionLsub, axiom, binunionLsub = 0.79/15.34 (![A:$i,B:$i]: ( subset @ A @ ( binunion @ A @ B ) ))). 0.79/15.34 thf('44', plain, 0.79/15.34 (( binunionLsub ) = 0.79/15.34 ( ![X4:$i,X6:$i]: ( subset @ X4 @ ( binunion @ X4 @ X6 ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(binunionE, axiom, binunionE = 0.79/15.34 (![A:$i,B:$i,Xx:$i]: 0.79/15.34 ( ( in @ Xx @ ( binunion @ A @ B ) ) => 0.79/15.34 ( ( in @ Xx @ A ) | ( in @ Xx @ B ) ) ))). 0.79/15.34 thf('45', plain, 0.79/15.34 (( binunionE ) = 0.79/15.34 ( ![X4:$i,X6:$i,X8:$i]: 0.79/15.34 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) => 0.79/15.34 ( ( in @ X8 @ X4 ) | ( in @ X8 @ X6 ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(binunionEcases, axiom, binunionEcases = 0.79/15.34 (![A:$i,B:$i,Xx:$i,Xphi:$o]: 0.79/15.34 ( ( in @ Xx @ ( binunion @ A @ B ) ) => 0.79/15.34 ( ( ( in @ Xx @ A ) => ( Xphi ) ) => 0.79/15.34 ( ( ( in @ Xx @ B ) => ( Xphi ) ) => ( Xphi ) ) ) ))). 0.79/15.34 thf('46', plain, 0.79/15.34 (( binunionEcases ) = 0.79/15.34 ( ![X4:$i,X6:$i,X8:$i,X10:$o]: 0.79/15.34 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) => 0.79/15.34 ( ( ( in @ X8 @ X4 ) => ( X10 ) ) => 0.79/15.34 ( ( ( in @ X8 @ X6 ) => ( X10 ) ) => ( X10 ) ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(binunionIR, axiom, binunionIR = 0.79/15.34 (![A:$i,B:$i,Xx:$i]: 0.79/15.34 ( ( in @ Xx @ B ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))). 0.79/15.34 thf('47', plain, 0.79/15.34 (( binunionIR ) = 0.79/15.34 ( ![X4:$i,X6:$i,X8:$i]: 0.79/15.34 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(binunionIL, axiom, binunionIL = 0.79/15.34 (![A:$i,B:$i,Xx:$i]: 0.79/15.34 ( ( in @ Xx @ A ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))). 0.79/15.34 thf('48', plain, 0.79/15.34 (( binunionIL ) = 0.79/15.34 ( ![X4:$i,X6:$i,X8:$i]: 0.79/15.34 ( ( in @ X8 @ X4 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(inPowerset, axiom, inPowerset = (![A:$i]: ( in @ A @ ( powerset @ A ) ))). 0.79/15.34 thf('49', plain, 0.79/15.34 (( inPowerset ) = ( ![X4:$i]: ( in @ X4 @ ( powerset @ X4 ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(powerset__Cong, axiom, powerset__Cong = 0.79/15.34 (![A:$i,B:$i]: 0.79/15.34 ( ( ( A ) = ( B ) ) => ( ( powerset @ A ) = ( powerset @ B ) ) ))). 0.79/15.34 thf('50', plain, 0.79/15.34 (( powerset__Cong ) = 0.79/15.34 ( ![X4:$i,X6:$i]: 0.79/15.34 ( ( ( X4 ) = ( X6 ) ) => ( ( powerset @ X4 ) = ( powerset @ X6 ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(powersetE, axiom, powersetE = 0.79/15.34 (![A:$i,B:$i,Xx:$i]: 0.79/15.34 ( ( in @ B @ ( powerset @ A ) ) => ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ))). 0.79/15.34 thf('51', plain, 0.79/15.34 (( powersetE ) = 0.79/15.34 ( ![X4:$i,X6:$i,X8:$i]: 0.79/15.34 ( ( in @ X6 @ ( powerset @ X4 ) ) => 0.79/15.34 ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(emptyInPowerset, axiom, emptyInPowerset = 0.79/15.34 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 0.79/15.34 thf('52', plain, 0.79/15.34 (( emptyInPowerset ) = 0.79/15.34 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(emptyinPowerset, axiom, emptyinPowerset = 0.79/15.34 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 0.79/15.34 thf('53', plain, 0.79/15.34 (( emptyinPowerset ) = 0.79/15.34 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(powersetI, axiom, powersetI = 0.79/15.34 (![A:$i,B:$i]: 0.79/15.34 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) => 0.79/15.34 ( in @ B @ ( powerset @ A ) ) ))). 0.79/15.34 thf('54', plain, 0.79/15.34 (( powersetI ) = 0.79/15.34 ( ![X4:$i,X6:$i]: 0.79/15.34 ( ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) => 0.79/15.34 ( in @ X6 @ ( powerset @ X4 ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(powersetAx, axiom, powersetAx = 0.79/15.34 (![A:$i,B:$i]: 0.79/15.34 ( ( in @ B @ ( powerset @ A ) ) <=> 0.79/15.34 ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) ))). 0.79/15.34 thf('55', plain, 0.79/15.34 (( powersetAx ) = 0.79/15.34 ( ![X4:$i,X6:$i]: 0.79/15.34 ( ( in @ X6 @ ( powerset @ X4 ) ) <=> 0.79/15.34 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) )), 0.79/15.34 define([status(thm)])). 0.79/15.34 thf(inComplementUnionImpInComplement1, conjecture, 0.79/15.34 (( setextAx ) => 0.79/15.34 ( ( emptysetAx ) => 0.79/15.34 ( ( setadjoinAx ) => 0.79/15.34 ( ( powersetAx ) => 0.79/15.34 ( ( setunionAx ) => 0.79/15.34 ( ( omega0Ax ) => 0.79/15.34 ( ( omegaSAx ) => 0.79/15.34 ( ( omegaIndAx ) => 0.79/15.34 ( ( replAx ) => 0.79/15.34 ( ( foundationAx ) => 0.79/15.34 ( ( wellorderingAx ) => 0.79/15.34 ( ( descrp ) => 0.79/15.34 ( ( dsetconstrI ) => 0.79/15.34 ( ( dsetconstrEL ) => 0.79/15.34 ( ( dsetconstrER ) => 0.79/15.34 ( ( exuE1 ) => 0.79/15.34 ( ( prop2setE ) => 0.79/15.34 ( ( emptysetE ) => 0.79/15.34 ( ( emptysetimpfalse ) => 0.79/15.34 ( ( notinemptyset ) => 0.79/15.34 ( ( exuE3e ) => 0.79/15.34 ( ( setext ) => 0.79/15.34 ( ( emptyI ) => 0.79/15.34 ( ( noeltsimpempty ) => 0.79/15.34 ( ( setbeta ) => 0.79/15.34 ( ( nonemptyE1 ) => 0.79/15.34 ( ( nonemptyI ) => 0.79/15.34 ( ( nonemptyI1 ) => 0.79/15.34 ( ( setadjoinIL ) => 0.79/15.34 ( ( emptyinunitempty ) => 0.79/15.34 ( ( setadjoinIR ) => 0.79/15.34 ( ( setadjoinE ) => 0.79/15.34 ( ( 0.79/15.34 setadjoinOr ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setoftrueEq ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 powersetI ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 emptyinPowerset ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 emptyInPowerset ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 powersetE ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setunionI ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setunionE ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 subPowSU ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 exuE2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 nonemptyImpWitness ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 uniqinunit ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 notinsingleton ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 eqinunit ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 singletonsswitch ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 upairsetE ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 upairsetIL ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 upairsetIR ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 emptyE1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 vacuousDall ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 quantDeMorgan1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 quantDeMorgan2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 quantDeMorgan3 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 quantDeMorgan4 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 prop2setI ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 prop2set2propI ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 notdexE ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 notdallE ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 exuI1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 exuI3 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 exuI2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 inCongP ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in__Cong ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 exuE3u ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 exu__Cong ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 emptyset__Cong ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setadjoin__Cong ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 powerset__Cong ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setunion__Cong ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 omega__Cong ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 exuEu ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 descr__Cong ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 dsetconstr__Cong ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 subsetI1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 eqimpsubset2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 eqimpsubset1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 subsetI2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 emptysetsubset ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 subsetE ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 subsetE2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 notsubsetI ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 notequalI1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 notequalI2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 subsetRefl ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 subsetTrans ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setadjoinSub ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setadjoinSub2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 subset2powerset ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setextsub ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 subsetemptysetimpeq ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 powersetI1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 powersetE1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 inPowerset ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 powersetsubset ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 sepInPowerset ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 sepSubset ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binunionIL ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 upairset2IR ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binunionIR ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binunionEcases ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binunionE ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binunionLsub ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binunionRsub ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binintersectI ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binintersectSubset5 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binintersectEL ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binintersectLsub ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binintersectSubset2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binintersectSubset3 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binintersectER ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 disjointsetsI1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binintersectRsub ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binintersectSubset4 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binintersectSubset1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 bs114d ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setminusI ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setminusEL ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setminusER ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setminusSubset2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setminusERneg ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setminusELneg ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setminusILneg ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setminusIRneg ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setminusLsub ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setminusSubset1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 symdiffE ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 symdiffI1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 symdiffI2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 symdiffIneg1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 symdiffIneg2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 secondinupair ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setukpairIL ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setukpairIR ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 kpairiskpair ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 kpairp ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 singletonsubset ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 singletoninpowerset ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 singletoninpowunion ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 upairset2E ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 upairsubunion ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 upairinpowunion ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ubforcartprodlem1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ubforcartprodlem2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ubforcartprodlem3 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 cartprodpairin ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 cartprodmempair1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 cartprodmempair ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setunionE2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setunionsingleton1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setunionsingleton2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setunionsingleton ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 singletonprop ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ex1E1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ex1I ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ex1I2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 singletonsuniq ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setukpairinjL1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 kfstsingleton ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 theprop ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 kfstpairEq ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 cartprodfstin ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setukpairinjL2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setukpairinjL ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setukpairinjR11 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setukpairinjR12 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setukpairinjR1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 upairequniteq ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setukpairinjR2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setukpairinjR ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ksndsingleton ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ksndpairEq ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 kpairsurjEq ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 cartprodsndin ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 cartprodpairmemEL ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 cartprodpairmemER ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 cartprodmempaircEq ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 cartprodfstpairEq ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 cartprodsndpairEq ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 cartprodpairsurjEq ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 dpsetconstrI ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 dpsetconstrSub ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setOfPairsIsBReln ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 dpsetconstrERa ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 dpsetconstrEL1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 dpsetconstrEL2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 dpsetconstrER ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 funcImageSingleton ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 apProp ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 app ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 infuncsetfunc ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ap2p ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 funcinfuncset ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 lamProp ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 lamp ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 lam2p ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 brelnall1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 brelnall2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ex1E2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 funcGraphProp1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 funcGraphProp3 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 funcGraphProp2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 funcextLem ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 funcGraphProp4 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 subbreln ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 eqbreln ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 funcext ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 funcext2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ap2apEq1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ap2apEq2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 beta1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 eta1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 lam2lamEq ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 beta2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 eta2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 iffalseProp1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 iffalseProp2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 iftrueProp1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 iftrueProp2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ifSingleton ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ifp ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 theeq ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 iftrue ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 iffalse ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 iftrueorfalse ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binintersectT_lem ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binunionT_lem ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 powersetT_lem ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setminusT_lem ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 complementT_lem ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setextT ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 subsetTI ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 powersetTI1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 powersetTE1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 complementTI1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 complementTE1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binintersectTELcontra ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binintersectTERcontra ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 contrasubsetT ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 contrasubsetT1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 contrasubsetT2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 contrasubsetT3 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 doubleComplementI1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 doubleComplementE1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 doubleComplementSub1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 doubleComplementSub2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 doubleComplementEq ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 complementTnotintersectT ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 complementImpComplementIntersect ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 complementSubsetComplementIntersect ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 complementInPowersetComplementIntersect ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 contraSubsetComplement ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 complementTcontraSubset ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binunionTILcontra ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binunionTIRcontra ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 inIntersectImpInUnion ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 inIntersectImpInUnion2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 inIntersectImpInIntersectUnions ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 intersectInPowersetIntersectUnions ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 inComplementUnionImpNotIn1 ) => 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 A:$i,X:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 A ) ) => 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 Y:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 Y @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 A ) ) => 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 Xx:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 Xx @ A ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 Xx @ 0.79/15.34 ( 0.79/15.34 setminus @ 0.79/15.34 A @ 0.79/15.34 ( 0.79/15.34 binunion @ 0.79/15.34 X @ Y ) ) ) => 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 Xx @ 0.79/15.34 ( 0.79/15.34 setminus @ 0.79/15.34 A @ X ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 0.79/15.34 thf(zf_stmt_0, conjecture, 0.79/15.34 (( setextAx ) => 0.79/15.34 ( ( emptysetAx ) => 0.79/15.34 ( ( setadjoinAx ) => 0.79/15.34 ( ( ![X4:$i,X6:$i]: 0.79/15.34 ( ( in @ X6 @ ( powerset @ X4 ) ) <=> 0.79/15.34 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) ) => 0.79/15.34 ( ( setunionAx ) => 0.79/15.34 ( ( omega0Ax ) => 0.79/15.34 ( ( omegaSAx ) => 0.79/15.34 ( ( omegaIndAx ) => 0.79/15.34 ( ( replAx ) => 0.79/15.34 ( ( foundationAx ) => 0.79/15.34 ( ( wellorderingAx ) => 0.79/15.34 ( ( descrp ) => 0.79/15.34 ( ( dsetconstrI ) => 0.79/15.34 ( ( dsetconstrEL ) => 0.79/15.34 ( ( dsetconstrER ) => 0.79/15.34 ( ( exuE1 ) => 0.79/15.34 ( ( prop2setE ) => 0.79/15.34 ( ( emptysetE ) => 0.79/15.34 ( ( emptysetimpfalse ) => 0.79/15.34 ( ( notinemptyset ) => 0.79/15.34 ( ( exuE3e ) => 0.79/15.34 ( ( setext ) => 0.79/15.34 ( ( emptyI ) => 0.79/15.34 ( ( noeltsimpempty ) => 0.79/15.34 ( ( setbeta ) => 0.79/15.34 ( ( nonemptyE1 ) => 0.79/15.34 ( ( nonemptyI ) => 0.79/15.34 ( ( nonemptyI1 ) => 0.79/15.34 ( ( setadjoinIL ) => 0.79/15.34 ( ( emptyinunitempty ) => 0.79/15.34 ( ( setadjoinIR ) => 0.79/15.34 ( ( setadjoinE ) => 0.79/15.34 ( ( 0.79/15.34 setadjoinOr ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setoftrueEq ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X10:$i, 0.79/15.34 X12:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X14:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X14 @ X12 ) => 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X14 @ X10 ) ) ) => 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X12 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X10 ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X16:$i]: 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 emptyset @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X16 ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X18:$i]: 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 emptyset @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X18 ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X20:$i, 0.79/15.34 X22:$i, 0.79/15.34 X24:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X22 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X20 ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X24 @ X22 ) => 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X24 @ X20 ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setunionI ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setunionE ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 subPowSU ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 exuE2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 nonemptyImpWitness ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 uniqinunit ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 notinsingleton ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 eqinunit ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 singletonsswitch ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 upairsetE ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 upairsetIL ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 upairsetIR ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 emptyE1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 vacuousDall ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 quantDeMorgan1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 quantDeMorgan2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 quantDeMorgan3 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 quantDeMorgan4 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 prop2setI ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 prop2set2propI ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 notdexE ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 notdallE ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 exuI1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 exuI3 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 exuI2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 inCongP ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in__Cong ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 exuE3u ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 exu__Cong ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 emptyset__Cong ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setadjoin__Cong ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X26:$i, 0.79/15.34 X28:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 X26 ) = 0.79/15.34 ( 0.79/15.34 X28 ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X26 ) = 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X28 ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setunion__Cong ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 omega__Cong ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 exuEu ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 descr__Cong ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 dsetconstr__Cong ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 subsetI1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 eqimpsubset2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 eqimpsubset1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 subsetI2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 emptysetsubset ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 subsetE ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 subsetE2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 notsubsetI ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 notequalI1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 notequalI2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 subsetRefl ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 subsetTrans ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setadjoinSub ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setadjoinSub2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 subset2powerset ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setextsub ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 subsetemptysetimpeq ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 powersetI1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 powersetE1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X30:$i]: 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X30 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X30 ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 powersetsubset ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 sepInPowerset ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 sepSubset ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X32:$i, 0.79/15.34 X34:$i, 0.79/15.34 X36:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X36 @ X32 ) => 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X36 @ 0.79/15.34 ( 0.79/15.34 binunion @ 0.79/15.34 X32 @ X34 ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 upairset2IR ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X38:$i, 0.79/15.34 X40:$i, 0.79/15.34 X42:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X42 @ X40 ) => 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X42 @ 0.79/15.34 ( 0.79/15.34 binunion @ 0.79/15.34 X38 @ X40 ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X44:$i, 0.79/15.34 X46:$i, 0.79/15.34 X48:$i, 0.79/15.34 X50:$o]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X48 @ 0.79/15.34 ( 0.79/15.34 binunion @ 0.79/15.34 X44 @ X46 ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X48 @ X44 ) => 0.79/15.34 ( 0.79/15.34 X50 ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X48 @ X46 ) => 0.79/15.34 ( 0.79/15.34 X50 ) ) => 0.79/15.34 ( 0.79/15.34 X50 ) ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X52:$i, 0.79/15.34 X54:$i, 0.79/15.34 X56:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X56 @ 0.79/15.34 ( 0.79/15.34 binunion @ 0.79/15.34 X52 @ X54 ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X56 @ X54 ) | 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X56 @ X52 ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X58:$i, 0.79/15.34 X60:$i]: 0.79/15.34 ( 0.79/15.34 subset @ 0.79/15.34 X58 @ 0.79/15.34 ( 0.79/15.34 binunion @ 0.79/15.34 X58 @ X60 ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X62:$i, 0.79/15.34 X64:$i]: 0.79/15.34 ( 0.79/15.34 subset @ 0.79/15.34 X64 @ 0.79/15.34 ( 0.79/15.34 binunion @ 0.79/15.34 X62 @ X64 ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binintersectI ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binintersectSubset5 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binintersectEL ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binintersectLsub ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binintersectSubset2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binintersectSubset3 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binintersectER ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 disjointsetsI1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binintersectRsub ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binintersectSubset4 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binintersectSubset1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X66:$i, 0.79/15.34 X68:$i, 0.79/15.34 X70:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binintersect 0.79/15.34 @ 0.79/15.34 X66 @ 0.79/15.34 ( 0.79/15.34 binunion @ 0.79/15.34 X68 @ X70 ) ) = 0.79/15.34 ( 0.79/15.34 binunion @ 0.79/15.34 ( 0.79/15.34 binintersect 0.79/15.34 @ 0.79/15.34 X66 @ X68 ) @ 0.79/15.34 ( 0.79/15.34 binintersect 0.79/15.34 @ 0.79/15.34 X66 @ X70 ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X72:$i, 0.79/15.34 X74:$i, 0.79/15.34 X76:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X76 @ X72 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ~( 0.79/15.34 in @ 0.79/15.34 X76 @ X74 ) ) => 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X76 @ 0.79/15.34 ( 0.79/15.34 setminus @ 0.79/15.34 X72 @ X74 ) ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X78:$i, 0.79/15.34 X80:$i, 0.79/15.34 X82:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X82 @ 0.79/15.34 ( 0.79/15.34 setminus @ 0.79/15.34 X78 @ X80 ) ) => 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X82 @ X78 ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X84:$i, 0.79/15.34 X86:$i, 0.79/15.34 X88:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X88 @ 0.79/15.34 ( 0.79/15.34 setminus @ 0.79/15.34 X84 @ X86 ) ) => 0.79/15.34 ( 0.79/15.34 ~( 0.79/15.34 in @ 0.79/15.34 X88 @ X86 ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X90:$i, 0.79/15.34 X92:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 subset @ 0.79/15.34 X90 @ X92 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setminus @ 0.79/15.34 X90 @ X92 ) = 0.79/15.34 ( 0.79/15.34 emptyset ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X94:$i, 0.79/15.34 X96:$i, 0.79/15.34 X98:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ~( 0.79/15.34 in @ 0.79/15.34 X98 @ 0.79/15.34 ( 0.79/15.34 setminus 0.79/15.34 @ 0.79/15.34 X94 @ X96 ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X98 @ X94 ) => 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X98 @ X96 ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X100:$i, 0.79/15.34 X102:$i, 0.79/15.34 X104:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ~( 0.79/15.34 in @ 0.79/15.34 X104 @ 0.79/15.34 ( 0.79/15.34 setminus 0.79/15.34 @ 0.79/15.34 X100 @ 0.79/15.34 X102 ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ~( 0.79/15.34 in @ 0.79/15.34 X104 @ 0.79/15.34 X102 ) ) => 0.79/15.34 ( 0.79/15.34 ~( 0.79/15.34 in @ 0.79/15.34 X104 @ 0.79/15.34 X100 ) ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X106:$i, 0.79/15.34 X108:$i, 0.79/15.34 X110:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ~( 0.79/15.34 in @ 0.79/15.34 X110 @ 0.79/15.34 X106 ) ) => 0.79/15.34 ( 0.79/15.34 ~( 0.79/15.34 in @ 0.79/15.34 X110 @ 0.79/15.34 ( 0.79/15.34 setminus 0.79/15.34 @ 0.79/15.34 X106 @ 0.79/15.34 X108 ) ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X112:$i, 0.79/15.34 X114:$i, 0.79/15.34 X116:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X116 @ 0.79/15.34 X114 ) => 0.79/15.34 ( 0.79/15.34 ~( 0.79/15.34 in @ 0.79/15.34 X116 @ 0.79/15.34 ( 0.79/15.34 setminus 0.79/15.34 @ 0.79/15.34 X112 @ 0.79/15.34 X114 ) ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X118:$i, 0.79/15.34 X120:$i]: 0.79/15.34 ( 0.79/15.34 subset @ 0.79/15.34 ( 0.79/15.34 setminus @ 0.79/15.34 X118 @ 0.79/15.34 X120 ) @ 0.79/15.34 X118 ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X122:$i, 0.79/15.34 X124:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setminus @ 0.79/15.34 X122 @ 0.79/15.34 X124 ) = 0.79/15.34 ( 0.79/15.34 emptyset ) ) => 0.79/15.34 ( 0.79/15.34 subset @ 0.79/15.34 X122 @ 0.79/15.34 X124 ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 symdiffE ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 symdiffI1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 symdiffI2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 symdiffIneg1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 symdiffIneg2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 secondinupair ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setukpairIL ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setukpairIR ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 kpairiskpair ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 kpairp ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 singletonsubset ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 singletoninpowerset ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X126:$i, 0.79/15.34 X128:$i, 0.79/15.34 X130:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X130 @ 0.79/15.34 X126 ) => 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 ( 0.79/15.34 setadjoin 0.79/15.34 @ 0.79/15.34 X130 @ 0.79/15.34 emptyset ) @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 ( 0.79/15.34 binunion @ 0.79/15.34 X126 @ 0.79/15.34 X128 ) ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 upairset2E ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X132:$i, 0.79/15.34 X134:$i, 0.79/15.34 X136:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X136 @ 0.79/15.34 X132 ) => 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X138:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X138 @ 0.79/15.34 X134 ) => 0.79/15.34 ( 0.79/15.34 subset @ 0.79/15.34 ( 0.79/15.34 setadjoin 0.79/15.34 @ 0.79/15.34 X136 @ 0.79/15.34 ( 0.79/15.34 setadjoin 0.79/15.34 @ 0.79/15.34 X138 @ 0.79/15.34 emptyset ) ) @ 0.79/15.34 ( 0.79/15.34 binunion @ 0.79/15.34 X132 @ 0.79/15.34 X134 ) ) ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X140:$i, 0.79/15.34 X142:$i, 0.79/15.34 X144:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X144 @ 0.79/15.34 X140 ) => 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X146:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X146 @ 0.79/15.34 X142 ) => 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 ( 0.79/15.34 setadjoin 0.79/15.34 @ 0.79/15.34 X144 @ 0.79/15.34 ( 0.79/15.34 setadjoin 0.79/15.34 @ 0.79/15.34 X146 @ 0.79/15.34 emptyset ) ) @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 ( 0.79/15.34 binunion @ 0.79/15.34 X140 @ 0.79/15.34 X142 ) ) ) ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X148:$i, 0.79/15.34 X150:$i, 0.79/15.34 X152:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X152 @ 0.79/15.34 X148 ) => 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X154:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X154 @ 0.79/15.34 X150 ) => 0.79/15.34 ( 0.79/15.34 subset @ 0.79/15.34 ( 0.79/15.34 setadjoin 0.79/15.34 @ 0.79/15.34 ( 0.79/15.34 setadjoin 0.79/15.34 @ 0.79/15.34 X152 @ 0.79/15.34 emptyset ) @ 0.79/15.34 ( 0.79/15.34 setadjoin 0.79/15.34 @ 0.79/15.34 ( 0.79/15.34 setadjoin 0.79/15.34 @ 0.79/15.34 X152 @ 0.79/15.34 ( 0.79/15.34 setadjoin 0.79/15.34 @ 0.79/15.34 X154 @ 0.79/15.34 emptyset ) ) @ 0.79/15.34 emptyset ) ) @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 ( 0.79/15.34 binunion @ 0.79/15.34 X148 @ 0.79/15.34 X150 ) ) ) ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X156:$i, 0.79/15.34 X158:$i, 0.79/15.34 X160:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X160 @ 0.79/15.34 X156 ) => 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X162:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X162 @ 0.79/15.34 X158 ) => 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 ( 0.79/15.34 setadjoin 0.79/15.34 @ 0.79/15.34 ( 0.79/15.34 setadjoin 0.79/15.34 @ 0.79/15.34 X160 @ 0.79/15.34 emptyset ) @ 0.79/15.34 ( 0.79/15.34 setadjoin 0.79/15.34 @ 0.79/15.34 ( 0.79/15.34 setadjoin 0.79/15.34 @ 0.79/15.34 X160 @ 0.79/15.34 ( 0.79/15.34 setadjoin 0.79/15.34 @ 0.79/15.34 X162 @ 0.79/15.34 emptyset ) ) @ 0.79/15.34 emptyset ) ) @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 ( 0.79/15.34 binunion @ 0.79/15.34 X156 @ 0.79/15.34 X158 ) ) ) ) ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X164:$i, 0.79/15.34 X166:$i, 0.79/15.34 X168:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X168 @ 0.79/15.34 X164 ) => 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X170:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X170 @ 0.79/15.34 X166 ) => 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 ( 0.79/15.34 kpair @ 0.79/15.34 X168 @ 0.79/15.34 X170 ) @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 ( 0.79/15.34 binunion @ 0.79/15.34 X164 @ 0.79/15.34 X166 ) ) ) ) ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 cartprodpairin ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 cartprodmempair1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 cartprodmempair ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setunionE2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setunionsingleton1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setunionsingleton2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setunionsingleton ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 singletonprop ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ex1E1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ex1I ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ex1I2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 singletonsuniq ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setukpairinjL1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 kfstsingleton ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 theprop ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 kfstpairEq ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 cartprodfstin ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setukpairinjL2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setukpairinjL ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setukpairinjR11 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setukpairinjR12 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setukpairinjR1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 upairequniteq ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setukpairinjR2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setukpairinjR ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ksndsingleton ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ksndpairEq ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 kpairsurjEq ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 cartprodsndin ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 cartprodpairmemEL ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 cartprodpairmemER ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 cartprodmempaircEq ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 cartprodfstpairEq ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 cartprodsndpairEq ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 cartprodpairsurjEq ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 dpsetconstrI ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 dpsetconstrSub ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 setOfPairsIsBReln ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 dpsetconstrERa ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 dpsetconstrEL1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 dpsetconstrEL2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 dpsetconstrER ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 funcImageSingleton ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 apProp ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 app ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 infuncsetfunc ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ap2p ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 funcinfuncset ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 lamProp ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 lamp ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 lam2p ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 brelnall1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 brelnall2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ex1E2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 funcGraphProp1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 funcGraphProp3 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 funcGraphProp2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 funcextLem ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 funcGraphProp4 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 subbreln ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 eqbreln ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 funcext ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 funcext2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ap2apEq1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ap2apEq2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 beta1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 eta1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 lam2lamEq ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 beta2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 eta2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 iffalseProp1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 iffalseProp2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 iftrueProp1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 iftrueProp2 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ifSingleton ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ifp ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 theeq ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 iftrue ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 iffalse ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 iftrueorfalse ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binintersectT_lem ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X172:$i, 0.79/15.34 X174:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X174 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X172 ) ) => 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X176:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X176 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X172 ) ) => 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 ( 0.79/15.34 binunion @ 0.79/15.34 X174 @ 0.79/15.34 X176 ) @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X172 ) ) ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X178:$i, 0.79/15.34 X180:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X180 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X178 ) ) => 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X180 ) @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X178 ) ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X182:$i, 0.79/15.34 X184:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X184 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X182 ) ) => 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X186:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X186 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X182 ) ) => 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 ( 0.79/15.34 setminus @ 0.79/15.34 X184 @ 0.79/15.34 X186 ) @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X182 ) ) ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X188:$i, 0.79/15.34 X190:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X190 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X188 ) ) => 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 ( 0.79/15.34 setminus @ 0.79/15.34 X188 @ 0.79/15.34 X190 ) @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X188 ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X192:$i, 0.79/15.34 X194:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X194 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X192 ) ) => 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X196:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X196 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X192 ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X198:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X198 @ 0.79/15.34 X192 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X198 @ 0.79/15.34 X194 ) => 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X198 @ 0.79/15.34 X196 ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X200:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X200 @ 0.79/15.34 X192 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X200 @ 0.79/15.34 X196 ) => 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X200 @ 0.79/15.34 X194 ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 X194 ) = 0.79/15.34 ( 0.79/15.34 X196 ) ) ) ) ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 subsetTI ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X202:$i, 0.79/15.34 X204:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X204 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X202 ) ) => 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X206:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X206 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X202 ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X208:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X208 @ 0.79/15.34 X202 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X208 @ 0.79/15.34 X204 ) => 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X208 @ 0.79/15.34 X206 ) ) ) ) => 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X204 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X206 ) ) ) ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X210:$i, 0.79/15.34 X212:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X212 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X210 ) ) => 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X214:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X214 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X210 ) ) => 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X216:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X216 @ 0.79/15.34 X210 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X212 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X214 ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X216 @ 0.79/15.34 X212 ) => 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X216 @ 0.79/15.34 X214 ) ) ) ) ) ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X218:$i, 0.79/15.34 X220:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X220 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X218 ) ) => 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X222:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X222 @ 0.79/15.34 X218 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X222 @ 0.79/15.34 X220 ) => 0.79/15.34 ( 0.79/15.34 ~( 0.79/15.34 in @ 0.79/15.34 X222 @ 0.79/15.34 ( 0.79/15.34 setminus 0.79/15.34 @ 0.79/15.34 X218 @ 0.79/15.34 X220 ) ) ) ) ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X224:$i, 0.79/15.34 X226:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X226 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X224 ) ) => 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X228:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X228 @ 0.79/15.34 X224 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ~( 0.79/15.34 in @ 0.79/15.34 X228 @ 0.79/15.34 ( 0.79/15.34 setminus 0.79/15.34 @ 0.79/15.34 X224 @ 0.79/15.34 X226 ) ) ) => 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X228 @ 0.79/15.34 X226 ) ) ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binintersectTELcontra ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 binintersectTERcontra ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X230:$i, 0.79/15.34 X232:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X232 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X230 ) ) => 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X234:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X234 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X230 ) ) => 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X236:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X236 @ 0.79/15.34 X230 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 subset @ 0.79/15.34 X232 @ 0.79/15.34 ( 0.79/15.34 setminus @ 0.79/15.34 X230 @ 0.79/15.34 X234 ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X236 @ 0.79/15.34 X234 ) => 0.79/15.34 ( 0.79/15.34 ~( 0.79/15.34 in @ 0.79/15.34 X236 @ 0.79/15.34 X232 ) ) ) ) ) ) ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 contrasubsetT1 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X238:$i, 0.79/15.34 X240:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X240 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X238 ) ) => 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X242:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X242 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X238 ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 subset @ 0.79/15.34 X240 @ 0.79/15.34 X242 ) => 0.79/15.34 ( 0.79/15.34 subset @ 0.79/15.34 ( 0.79/15.34 setminus @ 0.79/15.34 X238 @ 0.79/15.34 X242 ) @ 0.79/15.34 ( 0.79/15.34 setminus @ 0.79/15.34 X238 @ 0.79/15.34 X240 ) ) ) ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X244:$i, 0.79/15.34 X246:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X246 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X244 ) ) => 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X248:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X248 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X244 ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 subset @ 0.79/15.34 ( 0.79/15.34 setminus @ 0.79/15.34 X244 @ 0.79/15.34 X248 ) @ 0.79/15.34 ( 0.79/15.34 setminus @ 0.79/15.34 X244 @ 0.79/15.34 X246 ) ) => 0.79/15.34 ( 0.79/15.34 subset @ 0.79/15.34 X246 @ 0.79/15.34 X248 ) ) ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X250:$i, 0.79/15.34 X252:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X252 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X250 ) ) => 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X254:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X254 @ 0.79/15.34 X250 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X254 @ 0.79/15.34 X252 ) => 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X254 @ 0.79/15.34 ( 0.79/15.34 setminus @ 0.79/15.34 X250 @ 0.79/15.34 ( 0.79/15.34 setminus @ 0.79/15.34 X250 @ 0.79/15.34 X252 ) ) ) ) ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X256:$i, 0.79/15.34 X258:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X258 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X256 ) ) => 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X260:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X260 @ 0.79/15.34 X256 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X260 @ 0.79/15.34 ( 0.79/15.34 setminus @ 0.79/15.34 X256 @ 0.79/15.34 ( 0.79/15.34 setminus @ 0.79/15.34 X256 @ 0.79/15.34 X258 ) ) ) => 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X260 @ 0.79/15.34 X258 ) ) ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X262:$i, 0.79/15.34 X264:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X264 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X262 ) ) => 0.79/15.34 ( 0.79/15.34 subset @ 0.79/15.34 X264 @ 0.79/15.34 ( 0.79/15.34 setminus @ 0.79/15.34 X262 @ 0.79/15.34 ( 0.79/15.34 setminus @ 0.79/15.34 X262 @ 0.79/15.34 X264 ) ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X266:$i, 0.79/15.34 X268:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X268 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X266 ) ) => 0.79/15.34 ( 0.79/15.34 subset @ 0.79/15.34 ( 0.79/15.34 setminus @ 0.79/15.34 X266 @ 0.79/15.34 ( 0.79/15.34 setminus @ 0.79/15.34 X266 @ 0.79/15.34 X268 ) ) @ 0.79/15.34 X268 ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X270:$i, 0.79/15.34 X272:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X272 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X270 ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 X272 ) = 0.79/15.34 ( 0.79/15.34 setminus @ 0.79/15.34 X270 @ 0.79/15.34 ( 0.79/15.34 setminus @ 0.79/15.34 X270 @ 0.79/15.34 X272 ) ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 complementTnotintersectT ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 complementImpComplementIntersect ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 complementSubsetComplementIntersect ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 complementInPowersetComplementIntersect ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X274:$i, 0.79/15.34 X276:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X276 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X274 ) ) => 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X278:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X278 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X274 ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 subset @ 0.79/15.34 X276 @ 0.79/15.34 ( 0.79/15.34 setminus @ 0.79/15.34 X274 @ 0.79/15.34 X278 ) ) => 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X280:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X280 @ 0.79/15.34 X274 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X280 @ 0.79/15.34 X278 ) => 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X280 @ 0.79/15.34 ( 0.79/15.34 setminus @ 0.79/15.34 X274 @ 0.79/15.34 X276 ) ) ) ) ) ) ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X282:$i, 0.79/15.34 X284:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X284 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X282 ) ) => 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X286:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X286 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X282 ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 subset @ 0.79/15.34 X284 @ 0.79/15.34 ( 0.79/15.34 setminus @ 0.79/15.34 X282 @ 0.79/15.34 X286 ) ) => 0.79/15.34 ( 0.79/15.34 subset @ 0.79/15.34 X286 @ 0.79/15.34 ( 0.79/15.34 setminus @ 0.79/15.34 X282 @ 0.79/15.34 X284 ) ) ) ) ) ) ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X288:$i, 0.79/15.34 X290:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X290 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X288 ) ) => 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X292:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X292 @ 0.79/15.34 ( 0.79/15.34 powerset @ 0.79/15.34 X288 ) ) => 0.79/15.34 ( 0.79/15.34 ![ 0.79/15.34 X294:$i]: 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 in @ 0.79/15.34 X294 @ 0.79/15.34 X288 ) => 0.79/15.34 ( 0.79/15.34 ( 0.79/15.34 ~( 0.79/15.35 in @ 0.79/15.35 X294 @ 0.79/15.35 ( 0.79/15.35 binunion 0.79/15.35 @ 0.79/15.35 X290 @ 0.79/15.35 X292 ) ) ) => 0.79/15.35 ( 0.79/15.35 ~( 0.79/15.35 in @ 0.79/15.35 X294 @ 0.79/15.35 X290 ) ) ) ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X296:$i, 0.79/15.35 X298:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X298 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X296 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X300:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X300 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X296 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X302:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X302 @ 0.79/15.35 X296 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ~( 0.79/15.35 in @ 0.79/15.35 X302 @ 0.79/15.35 ( 0.79/15.35 binunion 0.79/15.35 @ 0.79/15.35 X298 @ 0.79/15.35 X300 ) ) ) => 0.79/15.35 ( 0.79/15.35 ~( 0.79/15.35 in @ 0.79/15.35 X302 @ 0.79/15.35 X300 ) ) ) ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X304:$i, 0.79/15.35 X306:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X306 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X304 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X308:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X308 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X304 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X310:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X310 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X304 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X312:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X312 @ 0.79/15.35 X304 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X312 @ 0.79/15.35 ( 0.79/15.35 binintersect 0.79/15.35 @ 0.79/15.35 X306 @ 0.79/15.35 X308 ) ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X312 @ 0.79/15.35 ( 0.79/15.35 binunion @ 0.79/15.35 X306 @ 0.79/15.35 X310 ) ) ) ) ) ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X314:$i, 0.79/15.35 X316:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X316 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X314 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X318:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X318 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X314 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X320:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X320 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X314 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X322:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X322 @ 0.79/15.35 X314 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X322 @ 0.79/15.35 ( 0.79/15.35 binintersect 0.79/15.35 @ 0.79/15.35 X316 @ 0.79/15.35 X318 ) ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X322 @ 0.79/15.35 ( 0.79/15.35 binunion @ 0.79/15.35 X318 @ 0.79/15.35 X320 ) ) ) ) ) ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X324:$i, 0.79/15.35 X326:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X326 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X324 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X328:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X328 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X324 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X330:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X330 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X324 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X332:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X332 @ 0.79/15.35 X324 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X332 @ 0.79/15.35 ( 0.79/15.35 binintersect 0.79/15.35 @ 0.79/15.35 X326 @ 0.79/15.35 X328 ) ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X332 @ 0.79/15.35 ( 0.79/15.35 binintersect 0.79/15.35 @ 0.79/15.35 ( 0.79/15.35 binunion @ 0.79/15.35 X326 @ 0.79/15.35 X330 ) @ 0.79/15.35 ( 0.79/15.35 binunion @ 0.79/15.35 X328 @ 0.79/15.35 X330 ) ) ) ) ) ) ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X334:$i, 0.79/15.35 X336:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X336 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X334 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X338:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X338 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X334 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X340:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X340 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X334 ) ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 ( 0.79/15.35 binintersect 0.79/15.35 @ 0.79/15.35 X336 @ 0.79/15.35 X338 ) @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 ( 0.79/15.35 binintersect 0.79/15.35 @ 0.79/15.35 ( 0.79/15.35 binunion @ 0.79/15.35 X336 @ 0.79/15.35 X340 ) @ 0.79/15.35 ( 0.79/15.35 binunion @ 0.79/15.35 X338 @ 0.79/15.35 X340 ) ) ) ) ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X342:$i, 0.79/15.35 X344:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X344 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X342 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X346:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X346 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X342 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X348:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X348 @ 0.79/15.35 X342 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X348 @ 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X342 @ 0.79/15.35 ( 0.79/15.35 binunion @ 0.79/15.35 X344 @ 0.79/15.35 X346 ) ) ) => 0.79/15.35 ( 0.79/15.35 ~( 0.79/15.35 in @ 0.79/15.35 X348 @ 0.79/15.35 X344 ) ) ) ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X350:$i, 0.79/15.35 X352:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X352 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X350 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X354:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X354 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X350 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X356:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X356 @ 0.79/15.35 X350 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X356 @ 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X350 @ 0.79/15.35 ( 0.79/15.35 binunion @ 0.79/15.35 X352 @ 0.79/15.35 X354 ) ) ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X356 @ 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X350 @ 0.79/15.35 X352 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 0.79/15.35 thf(zf_stmt_1, type, zip_tseitin_0 : $i > $i > $i > $o). 0.79/15.35 thf(zf_stmt_2, axiom, 0.79/15.35 (![X8:$i,X6:$i,X4:$i]: 0.79/15.35 ( ( zip_tseitin_0 @ X8 @ X6 @ X4 ) <=> 0.79/15.35 ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ))). 0.79/15.35 thf(zf_stmt_3, conjecture, 0.79/15.35 (( setextAx ) => 0.79/15.35 ( ( emptysetAx ) => 0.79/15.35 ( ( setadjoinAx ) => 0.79/15.35 ( ( ![X4:$i,X6:$i]: 0.79/15.35 ( ( in @ X6 @ ( powerset @ X4 ) ) <=> 0.79/15.35 ( ![X8:$i]: ( zip_tseitin_0 @ X8 @ X6 @ X4 ) ) ) ) => 0.79/15.35 ( ( setunionAx ) => 0.79/15.35 ( ( omega0Ax ) => 0.79/15.35 ( ( omegaSAx ) => 0.79/15.35 ( ( omegaIndAx ) => 0.79/15.35 ( ( replAx ) => 0.79/15.35 ( ( foundationAx ) => 0.79/15.35 ( ( wellorderingAx ) => 0.79/15.35 ( ( descrp ) => 0.79/15.35 ( ( dsetconstrI ) => 0.79/15.35 ( ( dsetconstrEL ) => 0.79/15.35 ( ( dsetconstrER ) => 0.79/15.35 ( ( exuE1 ) => 0.79/15.35 ( ( prop2setE ) => 0.79/15.35 ( ( emptysetE ) => 0.79/15.35 ( ( emptysetimpfalse ) => 0.79/15.35 ( ( notinemptyset ) => 0.79/15.35 ( ( exuE3e ) => 0.79/15.35 ( ( setext ) => 0.79/15.35 ( ( emptyI ) => 0.79/15.35 ( ( noeltsimpempty ) => 0.79/15.35 ( ( setbeta ) => 0.79/15.35 ( ( nonemptyE1 ) => 0.79/15.35 ( ( nonemptyI ) => 0.79/15.35 ( ( nonemptyI1 ) => 0.79/15.35 ( ( setadjoinIL ) => 0.79/15.35 ( ( emptyinunitempty ) => 0.79/15.35 ( ( setadjoinIR ) => 0.79/15.35 ( ( setadjoinE ) => 0.79/15.35 ( ( 0.79/15.35 setadjoinOr ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setoftrueEq ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X10:$i, 0.79/15.35 X12:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X14:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X14 @ X12 ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X14 @ X10 ) ) ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X12 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X10 ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X16:$i]: 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 emptyset @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X16 ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X18:$i]: 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 emptyset @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X18 ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X20:$i, 0.79/15.35 X22:$i, 0.79/15.35 X24:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X22 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X20 ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X24 @ X22 ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X24 @ X20 ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setunionI ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setunionE ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 subPowSU ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 exuE2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 nonemptyImpWitness ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 uniqinunit ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 notinsingleton ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 eqinunit ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 singletonsswitch ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 upairsetE ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 upairsetIL ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 upairsetIR ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 emptyE1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 vacuousDall ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 quantDeMorgan1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 quantDeMorgan2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 quantDeMorgan3 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 quantDeMorgan4 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 prop2setI ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 prop2set2propI ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 notdexE ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 notdallE ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 exuI1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 exuI3 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 exuI2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 inCongP ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in__Cong ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 exuE3u ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 exu__Cong ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 emptyset__Cong ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setadjoin__Cong ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X26:$i, 0.79/15.35 X28:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 X26 ) = 0.79/15.35 ( 0.79/15.35 X28 ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X26 ) = 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X28 ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setunion__Cong ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 omega__Cong ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 exuEu ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 descr__Cong ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 dsetconstr__Cong ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 subsetI1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 eqimpsubset2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 eqimpsubset1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 subsetI2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 emptysetsubset ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 subsetE ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 subsetE2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 notsubsetI ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 notequalI1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 notequalI2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 subsetRefl ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 subsetTrans ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setadjoinSub ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setadjoinSub2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 subset2powerset ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setextsub ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 subsetemptysetimpeq ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 powersetI1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 powersetE1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X30:$i]: 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X30 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X30 ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 powersetsubset ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 sepInPowerset ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 sepSubset ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X32:$i, 0.79/15.35 X34:$i, 0.79/15.35 X36:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X36 @ X32 ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X36 @ 0.79/15.35 ( 0.79/15.35 binunion @ 0.79/15.35 X32 @ X34 ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 upairset2IR ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X38:$i, 0.79/15.35 X40:$i, 0.79/15.35 X42:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X42 @ X40 ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X42 @ 0.79/15.35 ( 0.79/15.35 binunion @ 0.79/15.35 X38 @ X40 ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X44:$i, 0.79/15.35 X46:$i, 0.79/15.35 X48:$i, 0.79/15.35 X50:$o]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X48 @ 0.79/15.35 ( 0.79/15.35 binunion @ 0.79/15.35 X44 @ X46 ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X48 @ X44 ) => 0.79/15.35 ( 0.79/15.35 X50 ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X48 @ X46 ) => 0.79/15.35 ( 0.79/15.35 X50 ) ) => 0.79/15.35 ( 0.79/15.35 X50 ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X52:$i, 0.79/15.35 X54:$i, 0.79/15.35 X56:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X56 @ 0.79/15.35 ( 0.79/15.35 binunion @ 0.79/15.35 X52 @ X54 ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X56 @ X52 ) | 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X56 @ X54 ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X58:$i, 0.79/15.35 X60:$i]: 0.79/15.35 ( 0.79/15.35 subset @ 0.79/15.35 X58 @ 0.79/15.35 ( 0.79/15.35 binunion @ 0.79/15.35 X58 @ X60 ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X62:$i, 0.79/15.35 X64:$i]: 0.79/15.35 ( 0.79/15.35 subset @ 0.79/15.35 X64 @ 0.79/15.35 ( 0.79/15.35 binunion @ 0.79/15.35 X62 @ X64 ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 binintersectI ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 binintersectSubset5 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 binintersectEL ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 binintersectLsub ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 binintersectSubset2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 binintersectSubset3 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 binintersectER ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 disjointsetsI1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 binintersectRsub ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 binintersectSubset4 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 binintersectSubset1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X66:$i, 0.79/15.35 X68:$i, 0.79/15.35 X70:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 binintersect 0.79/15.35 @ 0.79/15.35 X66 @ 0.79/15.35 ( 0.79/15.35 binunion @ 0.79/15.35 X68 @ X70 ) ) = 0.79/15.35 ( 0.79/15.35 binunion @ 0.79/15.35 ( 0.79/15.35 binintersect 0.79/15.35 @ 0.79/15.35 X66 @ X68 ) @ 0.79/15.35 ( 0.79/15.35 binintersect 0.79/15.35 @ 0.79/15.35 X66 @ X70 ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X72:$i, 0.79/15.35 X74:$i, 0.79/15.35 X76:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X76 @ X72 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ~( 0.79/15.35 in @ 0.79/15.35 X76 @ X74 ) ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X76 @ 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X72 @ X74 ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X78:$i, 0.79/15.35 X80:$i, 0.79/15.35 X82:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X82 @ 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X78 @ X80 ) ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X82 @ X78 ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X84:$i, 0.79/15.35 X86:$i, 0.79/15.35 X88:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X88 @ 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X84 @ X86 ) ) => 0.79/15.35 ( 0.79/15.35 ~( 0.79/15.35 in @ 0.79/15.35 X88 @ X86 ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X90:$i, 0.79/15.35 X92:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 subset @ 0.79/15.35 X90 @ X92 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X90 @ X92 ) = 0.79/15.35 ( 0.79/15.35 emptyset ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X94:$i, 0.79/15.35 X96:$i, 0.79/15.35 X98:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ~( 0.79/15.35 in @ 0.79/15.35 X98 @ 0.79/15.35 ( 0.79/15.35 setminus 0.79/15.35 @ 0.79/15.35 X94 @ X96 ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X98 @ X94 ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X98 @ X96 ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X100:$i, 0.79/15.35 X102:$i, 0.79/15.35 X104:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ~( 0.79/15.35 in @ 0.79/15.35 X104 @ 0.79/15.35 ( 0.79/15.35 setminus 0.79/15.35 @ 0.79/15.35 X100 @ 0.79/15.35 X102 ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ~( 0.79/15.35 in @ 0.79/15.35 X104 @ 0.79/15.35 X102 ) ) => 0.79/15.35 ( 0.79/15.35 ~( 0.79/15.35 in @ 0.79/15.35 X104 @ 0.79/15.35 X100 ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X106:$i, 0.79/15.35 X108:$i, 0.79/15.35 X110:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ~( 0.79/15.35 in @ 0.79/15.35 X110 @ 0.79/15.35 X106 ) ) => 0.79/15.35 ( 0.79/15.35 ~( 0.79/15.35 in @ 0.79/15.35 X110 @ 0.79/15.35 ( 0.79/15.35 setminus 0.79/15.35 @ 0.79/15.35 X106 @ 0.79/15.35 X108 ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X112:$i, 0.79/15.35 X114:$i, 0.79/15.35 X116:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X116 @ 0.79/15.35 X114 ) => 0.79/15.35 ( 0.79/15.35 ~( 0.79/15.35 in @ 0.79/15.35 X116 @ 0.79/15.35 ( 0.79/15.35 setminus 0.79/15.35 @ 0.79/15.35 X112 @ 0.79/15.35 X114 ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X118:$i, 0.79/15.35 X120:$i]: 0.79/15.35 ( 0.79/15.35 subset @ 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X118 @ 0.79/15.35 X120 ) @ 0.79/15.35 X118 ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X122:$i, 0.79/15.35 X124:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X122 @ 0.79/15.35 X124 ) = 0.79/15.35 ( 0.79/15.35 emptyset ) ) => 0.79/15.35 ( 0.79/15.35 subset @ 0.79/15.35 X122 @ 0.79/15.35 X124 ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 symdiffE ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 symdiffI1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 symdiffI2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 symdiffIneg1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 symdiffIneg2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 secondinupair ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setukpairIL ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setukpairIR ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 kpairiskpair ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 kpairp ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 singletonsubset ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 singletoninpowerset ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X126:$i, 0.79/15.35 X128:$i, 0.79/15.35 X130:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X130 @ 0.79/15.35 X126 ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 ( 0.79/15.35 setadjoin 0.79/15.35 @ 0.79/15.35 X130 @ 0.79/15.35 emptyset ) @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 ( 0.79/15.35 binunion @ 0.79/15.35 X126 @ 0.79/15.35 X128 ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 upairset2E ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X132:$i, 0.79/15.35 X134:$i, 0.79/15.35 X136:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X136 @ 0.79/15.35 X132 ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X138:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X138 @ 0.79/15.35 X134 ) => 0.79/15.35 ( 0.79/15.35 subset @ 0.79/15.35 ( 0.79/15.35 setadjoin 0.79/15.35 @ 0.79/15.35 X136 @ 0.79/15.35 ( 0.79/15.35 setadjoin 0.79/15.35 @ 0.79/15.35 X138 @ 0.79/15.35 emptyset ) ) @ 0.79/15.35 ( 0.79/15.35 binunion @ 0.79/15.35 X132 @ 0.79/15.35 X134 ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X140:$i, 0.79/15.35 X142:$i, 0.79/15.35 X144:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X144 @ 0.79/15.35 X140 ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X146:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X146 @ 0.79/15.35 X142 ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 ( 0.79/15.35 setadjoin 0.79/15.35 @ 0.79/15.35 X144 @ 0.79/15.35 ( 0.79/15.35 setadjoin 0.79/15.35 @ 0.79/15.35 X146 @ 0.79/15.35 emptyset ) ) @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 ( 0.79/15.35 binunion @ 0.79/15.35 X140 @ 0.79/15.35 X142 ) ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X148:$i, 0.79/15.35 X150:$i, 0.79/15.35 X152:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X152 @ 0.79/15.35 X148 ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X154:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X154 @ 0.79/15.35 X150 ) => 0.79/15.35 ( 0.79/15.35 subset @ 0.79/15.35 ( 0.79/15.35 setadjoin 0.79/15.35 @ 0.79/15.35 ( 0.79/15.35 setadjoin 0.79/15.35 @ 0.79/15.35 X152 @ 0.79/15.35 emptyset ) @ 0.79/15.35 ( 0.79/15.35 setadjoin 0.79/15.35 @ 0.79/15.35 ( 0.79/15.35 setadjoin 0.79/15.35 @ 0.79/15.35 X152 @ 0.79/15.35 ( 0.79/15.35 setadjoin 0.79/15.35 @ 0.79/15.35 X154 @ 0.79/15.35 emptyset ) ) @ 0.79/15.35 emptyset ) ) @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 ( 0.79/15.35 binunion @ 0.79/15.35 X148 @ 0.79/15.35 X150 ) ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X156:$i, 0.79/15.35 X158:$i, 0.79/15.35 X160:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X160 @ 0.79/15.35 X156 ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X162:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X162 @ 0.79/15.35 X158 ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 ( 0.79/15.35 setadjoin 0.79/15.35 @ 0.79/15.35 ( 0.79/15.35 setadjoin 0.79/15.35 @ 0.79/15.35 X160 @ 0.79/15.35 emptyset ) @ 0.79/15.35 ( 0.79/15.35 setadjoin 0.79/15.35 @ 0.79/15.35 ( 0.79/15.35 setadjoin 0.79/15.35 @ 0.79/15.35 X160 @ 0.79/15.35 ( 0.79/15.35 setadjoin 0.79/15.35 @ 0.79/15.35 X162 @ 0.79/15.35 emptyset ) ) @ 0.79/15.35 emptyset ) ) @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 ( 0.79/15.35 binunion @ 0.79/15.35 X156 @ 0.79/15.35 X158 ) ) ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X164:$i, 0.79/15.35 X166:$i, 0.79/15.35 X168:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X168 @ 0.79/15.35 X164 ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X170:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X170 @ 0.79/15.35 X166 ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 ( 0.79/15.35 kpair @ 0.79/15.35 X168 @ 0.79/15.35 X170 ) @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 ( 0.79/15.35 binunion @ 0.79/15.35 X164 @ 0.79/15.35 X166 ) ) ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 cartprodpairin ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 cartprodmempair1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 cartprodmempair ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setunionE2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setunionsingleton1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setunionsingleton2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setunionsingleton ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 singletonprop ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ex1E1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ex1I ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ex1I2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 singletonsuniq ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setukpairinjL1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 kfstsingleton ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 theprop ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 kfstpairEq ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 cartprodfstin ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setukpairinjL2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setukpairinjL ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setukpairinjR11 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setukpairinjR12 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setukpairinjR1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 upairequniteq ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setukpairinjR2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setukpairinjR ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ksndsingleton ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ksndpairEq ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 kpairsurjEq ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 cartprodsndin ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 cartprodpairmemEL ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 cartprodpairmemER ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 cartprodmempaircEq ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 cartprodfstpairEq ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 cartprodsndpairEq ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 cartprodpairsurjEq ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 dpsetconstrI ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 dpsetconstrSub ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setOfPairsIsBReln ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 dpsetconstrERa ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 dpsetconstrEL1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 dpsetconstrEL2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 dpsetconstrER ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 funcImageSingleton ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 apProp ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 app ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 infuncsetfunc ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ap2p ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 funcinfuncset ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 lamProp ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 lamp ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 lam2p ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 brelnall1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 brelnall2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ex1E2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 funcGraphProp1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 funcGraphProp3 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 funcGraphProp2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 funcextLem ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 funcGraphProp4 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 subbreln ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 eqbreln ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 funcext ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 funcext2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ap2apEq1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ap2apEq2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 beta1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 eta1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 lam2lamEq ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 beta2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 eta2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 iffalseProp1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 iffalseProp2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 iftrueProp1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 iftrueProp2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ifSingleton ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ifp ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 theeq ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 iftrue ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 iffalse ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 iftrueorfalse ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 binintersectT_lem ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X172:$i, 0.79/15.35 X174:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X174 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X172 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X176:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X176 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X172 ) ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 ( 0.79/15.35 binunion @ 0.79/15.35 X174 @ 0.79/15.35 X176 ) @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X172 ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X178:$i, 0.79/15.35 X180:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X180 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X178 ) ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X180 ) @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X178 ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X182:$i, 0.79/15.35 X184:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X184 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X182 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X186:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X186 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X182 ) ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X184 @ 0.79/15.35 X186 ) @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X182 ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X188:$i, 0.79/15.35 X190:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X190 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X188 ) ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X188 @ 0.79/15.35 X190 ) @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X188 ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X192:$i, 0.79/15.35 X194:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X194 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X192 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X196:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X196 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X192 ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X198:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X198 @ 0.79/15.35 X192 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X198 @ 0.79/15.35 X194 ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X198 @ 0.79/15.35 X196 ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X200:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X200 @ 0.79/15.35 X192 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X200 @ 0.79/15.35 X196 ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X200 @ 0.79/15.35 X194 ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 X194 ) = 0.79/15.35 ( 0.79/15.35 X196 ) ) ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 subsetTI ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X202:$i, 0.79/15.35 X204:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X204 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X202 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X206:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X206 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X202 ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X208:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X208 @ 0.79/15.35 X202 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X208 @ 0.79/15.35 X204 ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X208 @ 0.79/15.35 X206 ) ) ) ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X204 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X206 ) ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X210:$i, 0.79/15.35 X212:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X212 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X210 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X214:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X214 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X210 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X216:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X216 @ 0.79/15.35 X210 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X212 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X214 ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X216 @ 0.79/15.35 X212 ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X216 @ 0.79/15.35 X214 ) ) ) ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X218:$i, 0.79/15.35 X220:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X220 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X218 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X222:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X222 @ 0.79/15.35 X218 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X222 @ 0.79/15.35 X220 ) => 0.79/15.35 ( 0.79/15.35 ~( 0.79/15.35 in @ 0.79/15.35 X222 @ 0.79/15.35 ( 0.79/15.35 setminus 0.79/15.35 @ 0.79/15.35 X218 @ 0.79/15.35 X220 ) ) ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X224:$i, 0.79/15.35 X226:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X226 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X224 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X228:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X228 @ 0.79/15.35 X224 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ~( 0.79/15.35 in @ 0.79/15.35 X228 @ 0.79/15.35 ( 0.79/15.35 setminus 0.79/15.35 @ 0.79/15.35 X224 @ 0.79/15.35 X226 ) ) ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X228 @ 0.79/15.35 X226 ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 binintersectTELcontra ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 binintersectTERcontra ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X230:$i, 0.79/15.35 X232:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X232 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X230 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X234:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X234 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X230 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X236:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X236 @ 0.79/15.35 X230 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 subset @ 0.79/15.35 X232 @ 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X230 @ 0.79/15.35 X234 ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X236 @ 0.79/15.35 X234 ) => 0.79/15.35 ( 0.79/15.35 ~( 0.79/15.35 in @ 0.79/15.35 X236 @ 0.79/15.35 X232 ) ) ) ) ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 contrasubsetT1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X238:$i, 0.79/15.35 X240:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X240 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X238 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X242:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X242 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X238 ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 subset @ 0.79/15.35 X240 @ 0.79/15.35 X242 ) => 0.79/15.35 ( 0.79/15.35 subset @ 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X238 @ 0.79/15.35 X242 ) @ 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X238 @ 0.79/15.35 X240 ) ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X244:$i, 0.79/15.35 X246:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X246 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X244 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X248:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X248 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X244 ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 subset @ 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X244 @ 0.79/15.35 X248 ) @ 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X244 @ 0.79/15.35 X246 ) ) => 0.79/15.35 ( 0.79/15.35 subset @ 0.79/15.35 X246 @ 0.79/15.35 X248 ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X250:$i, 0.79/15.35 X252:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X252 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X250 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X254:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X254 @ 0.79/15.35 X250 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X254 @ 0.79/15.35 X252 ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X254 @ 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X250 @ 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X250 @ 0.79/15.35 X252 ) ) ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X256:$i, 0.79/15.35 X258:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X258 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X256 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X260:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X260 @ 0.79/15.35 X256 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X260 @ 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X256 @ 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X256 @ 0.79/15.35 X258 ) ) ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X260 @ 0.79/15.35 X258 ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X262:$i, 0.79/15.35 X264:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X264 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X262 ) ) => 0.79/15.35 ( 0.79/15.35 subset @ 0.79/15.35 X264 @ 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X262 @ 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X262 @ 0.79/15.35 X264 ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X266:$i, 0.79/15.35 X268:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X268 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X266 ) ) => 0.79/15.35 ( 0.79/15.35 subset @ 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X266 @ 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X266 @ 0.79/15.35 X268 ) ) @ 0.79/15.35 X268 ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X270:$i, 0.79/15.35 X272:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X272 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X270 ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 X272 ) = 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X270 @ 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X270 @ 0.79/15.35 X272 ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 complementTnotintersectT ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 complementImpComplementIntersect ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 complementSubsetComplementIntersect ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 complementInPowersetComplementIntersect ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X274:$i, 0.79/15.35 X276:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X276 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X274 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X278:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X278 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X274 ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 subset @ 0.79/15.35 X276 @ 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X274 @ 0.79/15.35 X278 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X280:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X280 @ 0.79/15.35 X274 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X280 @ 0.79/15.35 X278 ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X280 @ 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X274 @ 0.79/15.35 X276 ) ) ) ) ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X282:$i, 0.79/15.35 X284:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X284 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X282 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X286:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X286 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X282 ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 subset @ 0.79/15.35 X284 @ 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X282 @ 0.79/15.35 X286 ) ) => 0.79/15.35 ( 0.79/15.35 subset @ 0.79/15.35 X286 @ 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X282 @ 0.79/15.35 X284 ) ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X288:$i, 0.79/15.35 X290:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X290 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X288 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X292:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X292 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X288 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X294:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X294 @ 0.79/15.35 X288 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ~( 0.79/15.35 in @ 0.79/15.35 X294 @ 0.79/15.35 ( 0.79/15.35 binunion 0.79/15.35 @ 0.79/15.35 X290 @ 0.79/15.35 X292 ) ) ) => 0.79/15.35 ( 0.79/15.35 ~( 0.79/15.35 in @ 0.79/15.35 X294 @ 0.79/15.35 X290 ) ) ) ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X296:$i, 0.79/15.35 X298:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X298 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X296 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X300:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X300 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X296 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X302:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X302 @ 0.79/15.35 X296 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ~( 0.79/15.35 in @ 0.79/15.35 X302 @ 0.79/15.35 ( 0.79/15.35 binunion 0.79/15.35 @ 0.79/15.35 X298 @ 0.79/15.35 X300 ) ) ) => 0.79/15.35 ( 0.79/15.35 ~( 0.79/15.35 in @ 0.79/15.35 X302 @ 0.79/15.35 X300 ) ) ) ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X304:$i, 0.79/15.35 X306:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X306 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X304 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X308:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X308 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X304 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X310:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X310 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X304 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X312:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X312 @ 0.79/15.35 X304 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X312 @ 0.79/15.35 ( 0.79/15.35 binintersect 0.79/15.35 @ 0.79/15.35 X306 @ 0.79/15.35 X308 ) ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X312 @ 0.79/15.35 ( 0.79/15.35 binunion @ 0.79/15.35 X306 @ 0.79/15.35 X310 ) ) ) ) ) ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X314:$i, 0.79/15.35 X316:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X316 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X314 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X318:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X318 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X314 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X320:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X320 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X314 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X322:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X322 @ 0.79/15.35 X314 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X322 @ 0.79/15.35 ( 0.79/15.35 binintersect 0.79/15.35 @ 0.79/15.35 X316 @ 0.79/15.35 X318 ) ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X322 @ 0.79/15.35 ( 0.79/15.35 binunion @ 0.79/15.35 X318 @ 0.79/15.35 X320 ) ) ) ) ) ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X324:$i, 0.79/15.35 X326:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X326 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X324 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X328:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X328 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X324 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X330:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X330 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X324 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X332:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X332 @ 0.79/15.35 X324 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X332 @ 0.79/15.35 ( 0.79/15.35 binintersect 0.79/15.35 @ 0.79/15.35 X326 @ 0.79/15.35 X328 ) ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X332 @ 0.79/15.35 ( 0.79/15.35 binintersect 0.79/15.35 @ 0.79/15.35 ( 0.79/15.35 binunion @ 0.79/15.35 X326 @ 0.79/15.35 X330 ) @ 0.79/15.35 ( 0.79/15.35 binunion @ 0.79/15.35 X328 @ 0.79/15.35 X330 ) ) ) ) ) ) ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X334:$i, 0.79/15.35 X336:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X336 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X334 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X338:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X338 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X334 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X340:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X340 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X334 ) ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 ( 0.79/15.35 binintersect 0.79/15.35 @ 0.79/15.35 X336 @ 0.79/15.35 X338 ) @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 ( 0.79/15.35 binintersect 0.79/15.35 @ 0.79/15.35 ( 0.79/15.35 binunion @ 0.79/15.35 X336 @ 0.79/15.35 X340 ) @ 0.79/15.35 ( 0.79/15.35 binunion @ 0.79/15.35 X338 @ 0.79/15.35 X340 ) ) ) ) ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X342:$i, 0.79/15.35 X344:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X344 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X342 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X346:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X346 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X342 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X348:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X348 @ 0.79/15.35 X342 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X348 @ 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X342 @ 0.79/15.35 ( 0.79/15.35 binunion @ 0.79/15.35 X344 @ 0.79/15.35 X346 ) ) ) => 0.79/15.35 ( 0.79/15.35 ~( 0.79/15.35 in @ 0.79/15.35 X348 @ 0.79/15.35 X344 ) ) ) ) ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X350:$i, 0.79/15.35 X352:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X352 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X350 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X354:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X354 @ 0.79/15.35 ( 0.79/15.35 powerset @ 0.79/15.35 X350 ) ) => 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X356:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X356 @ 0.79/15.35 X350 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X356 @ 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X350 @ 0.79/15.35 ( 0.79/15.35 binunion @ 0.79/15.35 X352 @ 0.79/15.35 X354 ) ) ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X356 @ 0.79/15.35 ( 0.79/15.35 setminus @ 0.79/15.35 X350 @ 0.79/15.35 X352 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 0.79/15.35 thf(zf_stmt_4, negated_conjecture, 0.79/15.35 (~( ( setextAx ) => 0.79/15.35 ( ( emptysetAx ) => 0.79/15.35 ( ( setadjoinAx ) => 0.79/15.35 ( ( ![X4:$i,X6:$i]: 0.79/15.35 ( ( in @ X6 @ ( powerset @ X4 ) ) <=> 0.79/15.35 ( ![X8:$i]: ( zip_tseitin_0 @ X8 @ X6 @ X4 ) ) ) ) => 0.79/15.35 ( ( setunionAx ) => 0.79/15.35 ( ( omega0Ax ) => 0.79/15.35 ( ( omegaSAx ) => 0.79/15.35 ( ( omegaIndAx ) => 0.79/15.35 ( ( replAx ) => 0.79/15.35 ( ( foundationAx ) => 0.79/15.35 ( ( wellorderingAx ) => 0.79/15.35 ( ( descrp ) => 0.79/15.35 ( ( dsetconstrI ) => 0.79/15.35 ( ( dsetconstrEL ) => 0.79/15.35 ( ( dsetconstrER ) => 0.79/15.35 ( ( exuE1 ) => 0.79/15.35 ( ( prop2setE ) => 0.79/15.35 ( ( emptysetE ) => 0.79/15.35 ( ( emptysetimpfalse ) => 0.79/15.35 ( ( notinemptyset ) => 0.79/15.35 ( ( exuE3e ) => 0.79/15.35 ( ( setext ) => 0.79/15.35 ( ( emptyI ) => 0.79/15.35 ( ( noeltsimpempty ) => 0.79/15.35 ( ( setbeta ) => 0.79/15.35 ( ( nonemptyE1 ) => 0.79/15.35 ( ( nonemptyI ) => 0.79/15.35 ( ( nonemptyI1 ) => 0.79/15.35 ( ( setadjoinIL ) => 0.79/15.35 ( ( emptyinunitempty ) => 0.79/15.35 ( ( setadjoinIR ) => 0.79/15.35 ( ( 0.79/15.35 setadjoinE ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setadjoinOr ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setoftrueEq ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X10:$i, 0.79/15.35 X12:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X14:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X14 @ X12 ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X14 @ X10 ) ) ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X12 @ 0.79/15.35 ( 0.79/15.35 powerset 0.79/15.35 @ 0.79/15.35 X10 ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X16:$i]: 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 emptyset @ 0.79/15.35 ( 0.79/15.35 powerset 0.79/15.35 @ 0.79/15.35 X16 ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X18:$i]: 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 emptyset @ 0.79/15.35 ( 0.79/15.35 powerset 0.79/15.35 @ 0.79/15.35 X18 ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X20:$i, 0.79/15.35 X22:$i, 0.79/15.35 X24:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X22 @ 0.79/15.35 ( 0.79/15.35 powerset 0.79/15.35 @ 0.79/15.35 X20 ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X24 @ X22 ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X24 @ X20 ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setunionI ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setunionE ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 subPowSU ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 exuE2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 nonemptyImpWitness ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 uniqinunit ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 notinsingleton ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 eqinunit ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 singletonsswitch ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 upairsetE ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 upairsetIL ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 upairsetIR ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 emptyE1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 vacuousDall ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 quantDeMorgan1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 quantDeMorgan2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 quantDeMorgan3 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 quantDeMorgan4 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 prop2setI ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 prop2set2propI ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 notdexE ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 notdallE ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 exuI1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 exuI3 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 exuI2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 inCongP ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in__Cong ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 exuE3u ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 exu__Cong ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 emptyset__Cong ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setadjoin__Cong ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X26:$i, 0.79/15.35 X28:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 X26 ) = 0.79/15.35 ( 0.79/15.35 X28 ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 powerset 0.79/15.35 @ 0.79/15.35 X26 ) = 0.79/15.35 ( 0.79/15.35 powerset 0.79/15.35 @ 0.79/15.35 X28 ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setunion__Cong ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 omega__Cong ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 exuEu ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 descr__Cong ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 dsetconstr__Cong ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 subsetI1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 eqimpsubset2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 eqimpsubset1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 subsetI2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 emptysetsubset ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 subsetE ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 subsetE2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 notsubsetI ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 notequalI1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 notequalI2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 subsetRefl ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 subsetTrans ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setadjoinSub ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setadjoinSub2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 subset2powerset ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setextsub ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 subsetemptysetimpeq ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 powersetI1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 powersetE1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X30:$i]: 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X30 @ 0.79/15.35 ( 0.79/15.35 powerset 0.79/15.35 @ 0.79/15.35 X30 ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 powersetsubset ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 sepInPowerset ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 sepSubset ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X32:$i, 0.79/15.35 X34:$i, 0.79/15.35 X36:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X36 @ X32 ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X36 @ 0.79/15.35 ( 0.79/15.35 binunion 0.79/15.35 @ 0.79/15.35 X32 @ X34 ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 upairset2IR ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X38:$i, 0.79/15.35 X40:$i, 0.79/15.35 X42:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X42 @ X40 ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X42 @ 0.79/15.35 ( 0.79/15.35 binunion 0.79/15.35 @ 0.79/15.35 X38 @ X40 ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X44:$i, 0.79/15.35 X46:$i, 0.79/15.35 X48:$i, 0.79/15.35 X50:$o]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X48 @ 0.79/15.35 ( 0.79/15.35 binunion 0.79/15.35 @ 0.79/15.35 X44 @ X46 ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X48 @ X44 ) => 0.79/15.35 ( 0.79/15.35 X50 ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X48 @ X46 ) => 0.79/15.35 ( 0.79/15.35 X50 ) ) => 0.79/15.35 ( 0.79/15.35 X50 ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X52:$i, 0.79/15.35 X54:$i, 0.79/15.35 X56:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X56 @ 0.79/15.35 ( 0.79/15.35 binunion 0.79/15.35 @ 0.79/15.35 X52 @ X54 ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X56 @ X52 ) | 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X56 @ X54 ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X58:$i, 0.79/15.35 X60:$i]: 0.79/15.35 ( 0.79/15.35 subset @ 0.79/15.35 X58 @ 0.79/15.35 ( 0.79/15.35 binunion 0.79/15.35 @ 0.79/15.35 X58 @ X60 ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X62:$i, 0.79/15.35 X64:$i]: 0.79/15.35 ( 0.79/15.35 subset @ 0.79/15.35 X64 @ 0.79/15.35 ( 0.79/15.35 binunion 0.79/15.35 @ 0.79/15.35 X62 @ X64 ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 binintersectI ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 binintersectSubset5 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 binintersectEL ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 binintersectLsub ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 binintersectSubset2 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 binintersectSubset3 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 binintersectER ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 disjointsetsI1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 binintersectRsub ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 binintersectSubset4 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 binintersectSubset1 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X66:$i, 0.79/15.35 X68:$i, 0.79/15.35 X70:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 binintersect 0.79/15.35 @ 0.79/15.35 X66 @ 0.79/15.35 ( 0.79/15.35 binunion 0.79/15.35 @ 0.79/15.35 X68 @ X70 ) ) = 0.79/15.35 ( 0.79/15.35 binunion 0.79/15.35 @ 0.79/15.35 ( 0.79/15.35 binintersect 0.79/15.35 @ 0.79/15.35 X66 @ X68 ) @ 0.79/15.35 ( 0.79/15.35 binintersect 0.79/15.35 @ 0.79/15.35 X66 @ X70 ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X72:$i, 0.79/15.35 X74:$i, 0.79/15.35 X76:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X76 @ X72 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ~ 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X76 @ X74 ) ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X76 @ 0.79/15.35 ( 0.79/15.35 setminus 0.79/15.35 @ 0.79/15.35 X72 @ X74 ) ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X78:$i, 0.79/15.35 X80:$i, 0.79/15.35 X82:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X82 @ 0.79/15.35 ( 0.79/15.35 setminus 0.79/15.35 @ 0.79/15.35 X78 @ X80 ) ) => 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X82 @ X78 ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X84:$i, 0.79/15.35 X86:$i, 0.79/15.35 X88:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X88 @ 0.79/15.35 ( 0.79/15.35 setminus 0.79/15.35 @ 0.79/15.35 X84 @ X86 ) ) => 0.79/15.35 ( 0.79/15.35 ~ 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X88 @ X86 ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X90:$i, 0.79/15.35 X92:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 subset @ 0.79/15.35 X90 @ X92 ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 setminus 0.79/15.35 @ 0.79/15.35 X90 @ X92 ) = 0.79/15.35 ( 0.79/15.35 emptyset ) ) ) ) => 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ![ 0.79/15.35 X94:$i, 0.79/15.35 X96:$i, 0.79/15.35 X98:$i]: 0.79/15.35 ( 0.79/15.35 ( 0.79/15.35 ~ 0.79/15.35 ( 0.79/15.35 in @ 0.79/15.35 X98 @ 0.79/15.35 ( 0.79/15.35 setminus 0.79/15.35 @ 0.79/15.35 X94 @ X96 ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X98 @ X94 ) => 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X98 @ X96 ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X100:$i, 0.79/15.36 X102:$i, 0.79/15.36 X104:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ~ 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X104 @ 0.79/15.36 ( 0.79/15.36 setminus 0.79/15.36 @ 0.79/15.36 X100 @ 0.79/15.36 X102 ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ~ 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X104 @ 0.79/15.36 X102 ) ) => 0.79/15.36 ( 0.79/15.36 ~ 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X104 @ 0.79/15.36 X100 ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X106:$i, 0.79/15.36 X108:$i, 0.79/15.36 X110:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ~ 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X110 @ 0.79/15.36 X106 ) ) => 0.79/15.36 ( 0.79/15.36 ~ 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X110 @ 0.79/15.36 ( 0.79/15.36 setminus 0.79/15.36 @ 0.79/15.36 X106 @ 0.79/15.36 X108 ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X112:$i, 0.79/15.36 X114:$i, 0.79/15.36 X116:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X116 @ 0.79/15.36 X114 ) => 0.79/15.36 ( 0.79/15.36 ~ 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X116 @ 0.79/15.36 ( 0.79/15.36 setminus 0.79/15.36 @ 0.79/15.36 X112 @ 0.79/15.36 X114 ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X118:$i, 0.79/15.36 X120:$i]: 0.79/15.36 ( 0.79/15.36 subset @ 0.79/15.36 ( 0.79/15.36 setminus 0.79/15.36 @ 0.79/15.36 X118 @ 0.79/15.36 X120 ) @ 0.79/15.36 X118 ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X122:$i, 0.79/15.36 X124:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 setminus 0.79/15.36 @ 0.79/15.36 X122 @ 0.79/15.36 X124 ) = 0.79/15.36 ( 0.79/15.36 emptyset ) ) => 0.79/15.36 ( 0.79/15.36 subset @ 0.79/15.36 X122 @ 0.79/15.36 X124 ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 symdiffE ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 symdiffI1 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 symdiffI2 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 symdiffIneg1 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 symdiffIneg2 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 secondinupair ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 setukpairIL ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 setukpairIR ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 kpairiskpair ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 kpairp ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 singletonsubset ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 singletoninpowerset ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X126:$i, 0.79/15.36 X128:$i, 0.79/15.36 X130:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X130 @ 0.79/15.36 X126 ) => 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 ( 0.79/15.36 setadjoin 0.79/15.36 @ 0.79/15.36 X130 @ 0.79/15.36 emptyset ) @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 ( 0.79/15.36 binunion 0.79/15.36 @ 0.79/15.36 X126 @ 0.79/15.36 X128 ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 upairset2E ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X132:$i, 0.79/15.36 X134:$i, 0.79/15.36 X136:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X136 @ 0.79/15.36 X132 ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X138:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X138 @ 0.79/15.36 X134 ) => 0.79/15.36 ( 0.79/15.36 subset @ 0.79/15.36 ( 0.79/15.36 setadjoin 0.79/15.36 @ 0.79/15.36 X136 @ 0.79/15.36 ( 0.79/15.36 setadjoin 0.79/15.36 @ 0.79/15.36 X138 @ 0.79/15.36 emptyset ) ) @ 0.79/15.36 ( 0.79/15.36 binunion 0.79/15.36 @ 0.79/15.36 X132 @ 0.79/15.36 X134 ) ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X140:$i, 0.79/15.36 X142:$i, 0.79/15.36 X144:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X144 @ 0.79/15.36 X140 ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X146:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X146 @ 0.79/15.36 X142 ) => 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 ( 0.79/15.36 setadjoin 0.79/15.36 @ 0.79/15.36 X144 @ 0.79/15.36 ( 0.79/15.36 setadjoin 0.79/15.36 @ 0.79/15.36 X146 @ 0.79/15.36 emptyset ) ) @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 ( 0.79/15.36 binunion 0.79/15.36 @ 0.79/15.36 X140 @ 0.79/15.36 X142 ) ) ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X148:$i, 0.79/15.36 X150:$i, 0.79/15.36 X152:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X152 @ 0.79/15.36 X148 ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X154:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X154 @ 0.79/15.36 X150 ) => 0.79/15.36 ( 0.79/15.36 subset @ 0.79/15.36 ( 0.79/15.36 setadjoin 0.79/15.36 @ 0.79/15.36 ( 0.79/15.36 setadjoin 0.79/15.36 @ 0.79/15.36 X152 @ 0.79/15.36 emptyset ) @ 0.79/15.36 ( 0.79/15.36 setadjoin 0.79/15.36 @ 0.79/15.36 ( 0.79/15.36 setadjoin 0.79/15.36 @ 0.79/15.36 X152 @ 0.79/15.36 ( 0.79/15.36 setadjoin 0.79/15.36 @ 0.79/15.36 X154 @ 0.79/15.36 emptyset ) ) @ 0.79/15.36 emptyset ) ) @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 ( 0.79/15.36 binunion 0.79/15.36 @ 0.79/15.36 X148 @ 0.79/15.36 X150 ) ) ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X156:$i, 0.79/15.36 X158:$i, 0.79/15.36 X160:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X160 @ 0.79/15.36 X156 ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X162:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X162 @ 0.79/15.36 X158 ) => 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 ( 0.79/15.36 setadjoin 0.79/15.36 @ 0.79/15.36 ( 0.79/15.36 setadjoin 0.79/15.36 @ 0.79/15.36 X160 @ 0.79/15.36 emptyset ) @ 0.79/15.36 ( 0.79/15.36 setadjoin 0.79/15.36 @ 0.79/15.36 ( 0.79/15.36 setadjoin 0.79/15.36 @ 0.79/15.36 X160 @ 0.79/15.36 ( 0.79/15.36 setadjoin 0.79/15.36 @ 0.79/15.36 X162 @ 0.79/15.36 emptyset ) ) @ 0.79/15.36 emptyset ) ) @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 ( 0.79/15.36 binunion 0.79/15.36 @ 0.79/15.36 X156 @ 0.79/15.36 X158 ) ) ) ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X164:$i, 0.79/15.36 X166:$i, 0.79/15.36 X168:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X168 @ 0.79/15.36 X164 ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X170:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X170 @ 0.79/15.36 X166 ) => 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 ( 0.79/15.36 kpair @ 0.79/15.36 X168 @ 0.79/15.36 X170 ) @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 ( 0.79/15.36 binunion 0.79/15.36 @ 0.79/15.36 X164 @ 0.79/15.36 X166 ) ) ) ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 cartprodpairin ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 cartprodmempair1 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 cartprodmempair ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 setunionE2 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 setunionsingleton1 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 setunionsingleton2 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 setunionsingleton ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 singletonprop ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ex1E1 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ex1I ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ex1I2 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 singletonsuniq ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 setukpairinjL1 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 kfstsingleton ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 theprop ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 kfstpairEq ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 cartprodfstin ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 setukpairinjL2 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 setukpairinjL ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 setukpairinjR11 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 setukpairinjR12 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 setukpairinjR1 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 upairequniteq ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 setukpairinjR2 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 setukpairinjR ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ksndsingleton ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ksndpairEq ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 kpairsurjEq ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 cartprodsndin ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 cartprodpairmemEL ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 cartprodpairmemER ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 cartprodmempaircEq ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 cartprodfstpairEq ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 cartprodsndpairEq ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 cartprodpairsurjEq ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 dpsetconstrI ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 dpsetconstrSub ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 setOfPairsIsBReln ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 dpsetconstrERa ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 dpsetconstrEL1 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 dpsetconstrEL2 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 dpsetconstrER ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 funcImageSingleton ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 apProp ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 app ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 infuncsetfunc ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ap2p ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 funcinfuncset ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 lamProp ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 lamp ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 lam2p ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 brelnall1 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 brelnall2 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ex1E2 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 funcGraphProp1 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 funcGraphProp3 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 funcGraphProp2 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 funcextLem ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 funcGraphProp4 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 subbreln ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 eqbreln ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 funcext ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 funcext2 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ap2apEq1 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ap2apEq2 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 beta1 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 eta1 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 lam2lamEq ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 beta2 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 eta2 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 iffalseProp1 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 iffalseProp2 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 iftrueProp1 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 iftrueProp2 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ifSingleton ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ifp ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 theeq ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 iftrue ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 iffalse ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 iftrueorfalse ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 binintersectT_lem ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X172:$i, 0.79/15.36 X174:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X174 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X172 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X176:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X176 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X172 ) ) => 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 ( 0.79/15.36 binunion 0.79/15.36 @ 0.79/15.36 X174 @ 0.79/15.36 X176 ) @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X172 ) ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X178:$i, 0.79/15.36 X180:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X180 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X178 ) ) => 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X180 ) @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X178 ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X182:$i, 0.79/15.36 X184:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X184 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X182 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X186:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X186 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X182 ) ) => 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 ( 0.79/15.36 setminus 0.79/15.36 @ 0.79/15.36 X184 @ 0.79/15.36 X186 ) @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X182 ) ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X188:$i, 0.79/15.36 X190:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X190 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X188 ) ) => 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 ( 0.79/15.36 setminus 0.79/15.36 @ 0.79/15.36 X188 @ 0.79/15.36 X190 ) @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X188 ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X192:$i, 0.79/15.36 X194:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X194 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X192 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X196:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X196 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X192 ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X198:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X198 @ 0.79/15.36 X192 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X198 @ 0.79/15.36 X194 ) => 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X198 @ 0.79/15.36 X196 ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X200:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X200 @ 0.79/15.36 X192 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X200 @ 0.79/15.36 X196 ) => 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X200 @ 0.79/15.36 X194 ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 X194 ) = 0.79/15.36 ( 0.79/15.36 X196 ) ) ) ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 subsetTI ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X202:$i, 0.79/15.36 X204:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X204 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X202 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X206:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X206 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X202 ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X208:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X208 @ 0.79/15.36 X202 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X208 @ 0.79/15.36 X204 ) => 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X208 @ 0.79/15.36 X206 ) ) ) ) => 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X204 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X206 ) ) ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X210:$i, 0.79/15.36 X212:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X212 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X210 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X214:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X214 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X210 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X216:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X216 @ 0.79/15.36 X210 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X212 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X214 ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X216 @ 0.79/15.36 X212 ) => 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X216 @ 0.79/15.36 X214 ) ) ) ) ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X218:$i, 0.79/15.36 X220:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X220 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X218 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X222:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X222 @ 0.79/15.36 X218 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X222 @ 0.79/15.36 X220 ) => 0.79/15.36 ( 0.79/15.36 ~ 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X222 @ 0.79/15.36 ( 0.79/15.36 setminus 0.79/15.36 @ 0.79/15.36 X218 @ 0.79/15.36 X220 ) ) ) ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X224:$i, 0.79/15.36 X226:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X226 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X224 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X228:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X228 @ 0.79/15.36 X224 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ~ 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X228 @ 0.79/15.36 ( 0.79/15.36 setminus 0.79/15.36 @ 0.79/15.36 X224 @ 0.79/15.36 X226 ) ) ) => 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X228 @ 0.79/15.36 X226 ) ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 binintersectTELcontra ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 binintersectTERcontra ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X230:$i, 0.79/15.36 X232:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X232 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X230 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X234:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X234 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X230 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X236:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X236 @ 0.79/15.36 X230 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 subset @ 0.79/15.36 X232 @ 0.79/15.36 ( 0.79/15.36 setminus 0.79/15.36 @ 0.79/15.36 X230 @ 0.79/15.36 X234 ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X236 @ 0.79/15.36 X234 ) => 0.79/15.36 ( 0.79/15.36 ~ 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X236 @ 0.79/15.36 X232 ) ) ) ) ) ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 contrasubsetT1 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X238:$i, 0.79/15.36 X240:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X240 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X238 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X242:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X242 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X238 ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 subset @ 0.79/15.36 X240 @ 0.79/15.36 X242 ) => 0.79/15.36 ( 0.79/15.36 subset @ 0.79/15.36 ( 0.79/15.36 setminus 0.79/15.36 @ 0.79/15.36 X238 @ 0.79/15.36 X242 ) @ 0.79/15.36 ( 0.79/15.36 setminus 0.79/15.36 @ 0.79/15.36 X238 @ 0.79/15.36 X240 ) ) ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X244:$i, 0.79/15.36 X246:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X246 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X244 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X248:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X248 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X244 ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 subset @ 0.79/15.36 ( 0.79/15.36 setminus 0.79/15.36 @ 0.79/15.36 X244 @ 0.79/15.36 X248 ) @ 0.79/15.36 ( 0.79/15.36 setminus 0.79/15.36 @ 0.79/15.36 X244 @ 0.79/15.36 X246 ) ) => 0.79/15.36 ( 0.79/15.36 subset @ 0.79/15.36 X246 @ 0.79/15.36 X248 ) ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X250:$i, 0.79/15.36 X252:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X252 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X250 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X254:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X254 @ 0.79/15.36 X250 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X254 @ 0.79/15.36 X252 ) => 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X254 @ 0.79/15.36 ( 0.79/15.36 setminus 0.79/15.36 @ 0.79/15.36 X250 @ 0.79/15.36 ( 0.79/15.36 setminus 0.79/15.36 @ 0.79/15.36 X250 @ 0.79/15.36 X252 ) ) ) ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X256:$i, 0.79/15.36 X258:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X258 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X256 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X260:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X260 @ 0.79/15.36 X256 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X260 @ 0.79/15.36 ( 0.79/15.36 setminus 0.79/15.36 @ 0.79/15.36 X256 @ 0.79/15.36 ( 0.79/15.36 setminus 0.79/15.36 @ 0.79/15.36 X256 @ 0.79/15.36 X258 ) ) ) => 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X260 @ 0.79/15.36 X258 ) ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X262:$i, 0.79/15.36 X264:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X264 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X262 ) ) => 0.79/15.36 ( 0.79/15.36 subset @ 0.79/15.36 X264 @ 0.79/15.36 ( 0.79/15.36 setminus 0.79/15.36 @ 0.79/15.36 X262 @ 0.79/15.36 ( 0.79/15.36 setminus 0.79/15.36 @ 0.79/15.36 X262 @ 0.79/15.36 X264 ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X266:$i, 0.79/15.36 X268:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X268 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X266 ) ) => 0.79/15.36 ( 0.79/15.36 subset @ 0.79/15.36 ( 0.79/15.36 setminus 0.79/15.36 @ 0.79/15.36 X266 @ 0.79/15.36 ( 0.79/15.36 setminus 0.79/15.36 @ 0.79/15.36 X266 @ 0.79/15.36 X268 ) ) @ 0.79/15.36 X268 ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X270:$i, 0.79/15.36 X272:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X272 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X270 ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 X272 ) = 0.79/15.36 ( 0.79/15.36 setminus 0.79/15.36 @ 0.79/15.36 X270 @ 0.79/15.36 ( 0.79/15.36 setminus 0.79/15.36 @ 0.79/15.36 X270 @ 0.79/15.36 X272 ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 complementTnotintersectT ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 complementImpComplementIntersect ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 complementSubsetComplementIntersect ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 complementInPowersetComplementIntersect ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X274:$i, 0.79/15.36 X276:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X276 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X274 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X278:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X278 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X274 ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 subset @ 0.79/15.36 X276 @ 0.79/15.36 ( 0.79/15.36 setminus 0.79/15.36 @ 0.79/15.36 X274 @ 0.79/15.36 X278 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X280:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X280 @ 0.79/15.36 X274 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X280 @ 0.79/15.36 X278 ) => 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X280 @ 0.79/15.36 ( 0.79/15.36 setminus 0.79/15.36 @ 0.79/15.36 X274 @ 0.79/15.36 X276 ) ) ) ) ) ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X282:$i, 0.79/15.36 X284:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X284 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X282 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X286:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X286 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X282 ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 subset @ 0.79/15.36 X284 @ 0.79/15.36 ( 0.79/15.36 setminus 0.79/15.36 @ 0.79/15.36 X282 @ 0.79/15.36 X286 ) ) => 0.79/15.36 ( 0.79/15.36 subset @ 0.79/15.36 X286 @ 0.79/15.36 ( 0.79/15.36 setminus 0.79/15.36 @ 0.79/15.36 X282 @ 0.79/15.36 X284 ) ) ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X288:$i, 0.79/15.36 X290:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X290 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X288 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X292:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X292 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X288 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X294:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X294 @ 0.79/15.36 X288 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ~ 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X294 @ 0.79/15.36 ( 0.79/15.36 binunion 0.79/15.36 @ 0.79/15.36 X290 @ 0.79/15.36 X292 ) ) ) => 0.79/15.36 ( 0.79/15.36 ~ 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X294 @ 0.79/15.36 X290 ) ) ) ) ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X296:$i, 0.79/15.36 X298:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X298 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X296 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X300:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X300 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X296 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X302:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X302 @ 0.79/15.36 X296 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ~ 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X302 @ 0.79/15.36 ( 0.79/15.36 binunion 0.79/15.36 @ 0.79/15.36 X298 @ 0.79/15.36 X300 ) ) ) => 0.79/15.36 ( 0.79/15.36 ~ 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X302 @ 0.79/15.36 X300 ) ) ) ) ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X304:$i, 0.79/15.36 X306:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X306 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X304 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X308:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X308 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X304 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X310:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X310 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X304 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X312:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X312 @ 0.79/15.36 X304 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X312 @ 0.79/15.36 ( 0.79/15.36 binintersect 0.79/15.36 @ 0.79/15.36 X306 @ 0.79/15.36 X308 ) ) => 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X312 @ 0.79/15.36 ( 0.79/15.36 binunion 0.79/15.36 @ 0.79/15.36 X306 @ 0.79/15.36 X310 ) ) ) ) ) ) ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X314:$i, 0.79/15.36 X316:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X316 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X314 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X318:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X318 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X314 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X320:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X320 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X314 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X322:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X322 @ 0.79/15.36 X314 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X322 @ 0.79/15.36 ( 0.79/15.36 binintersect 0.79/15.36 @ 0.79/15.36 X316 @ 0.79/15.36 X318 ) ) => 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X322 @ 0.79/15.36 ( 0.79/15.36 binunion 0.79/15.36 @ 0.79/15.36 X318 @ 0.79/15.36 X320 ) ) ) ) ) ) ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X324:$i, 0.79/15.36 X326:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X326 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X324 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X328:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X328 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X324 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X330:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X330 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X324 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X332:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X332 @ 0.79/15.36 X324 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X332 @ 0.79/15.36 ( 0.79/15.36 binintersect 0.79/15.36 @ 0.79/15.36 X326 @ 0.79/15.36 X328 ) ) => 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X332 @ 0.79/15.36 ( 0.79/15.36 binintersect 0.79/15.36 @ 0.79/15.36 ( 0.79/15.36 binunion 0.79/15.36 @ 0.79/15.36 X326 @ 0.79/15.36 X330 ) @ 0.79/15.36 ( 0.79/15.36 binunion 0.79/15.36 @ 0.79/15.36 X328 @ 0.79/15.36 X330 ) ) ) ) ) ) ) ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X334:$i, 0.79/15.36 X336:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X336 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X334 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X338:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X338 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X334 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X340:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X340 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X334 ) ) => 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 ( 0.79/15.36 binintersect 0.79/15.36 @ 0.79/15.36 X336 @ 0.79/15.36 X338 ) @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 ( 0.79/15.36 binintersect 0.79/15.36 @ 0.79/15.36 ( 0.79/15.36 binunion 0.79/15.36 @ 0.79/15.36 X336 @ 0.79/15.36 X340 ) @ 0.79/15.36 ( 0.79/15.36 binunion 0.79/15.36 @ 0.79/15.36 X338 @ 0.79/15.36 X340 ) ) ) ) ) ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X342:$i, 0.79/15.36 X344:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X344 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X342 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X346:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X346 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X342 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X348:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X348 @ 0.79/15.36 X342 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X348 @ 0.79/15.36 ( 0.79/15.36 setminus 0.79/15.36 @ 0.79/15.36 X342 @ 0.79/15.36 ( 0.79/15.36 binunion 0.79/15.36 @ 0.79/15.36 X344 @ 0.79/15.36 X346 ) ) ) => 0.79/15.36 ( 0.79/15.36 ~ 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X348 @ 0.79/15.36 X344 ) ) ) ) ) ) ) ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X350:$i, 0.79/15.36 X352:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X352 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X350 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X354:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X354 @ 0.79/15.36 ( 0.79/15.36 powerset 0.79/15.36 @ 0.79/15.36 X350 ) ) => 0.79/15.36 ( 0.79/15.36 ![ 0.79/15.36 X356:$i]: 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X356 @ 0.79/15.36 X350 ) => 0.79/15.36 ( 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X356 @ 0.79/15.36 ( 0.79/15.36 setminus 0.79/15.36 @ 0.79/15.36 X350 @ 0.79/15.36 ( 0.79/15.36 binunion 0.79/15.36 @ 0.79/15.36 X352 @ 0.79/15.36 X354 ) ) ) => 0.79/15.36 ( 0.79/15.36 in @ 0.79/15.36 X356 @ 0.79/15.36 ( 0.79/15.36 setminus 0.79/15.36 @ 0.79/15.36 X350 @ 0.79/15.36 X352 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 0.79/15.36 inference('cnf.neg', [status(esa)], [zf_stmt_3])). 0.79/15.36 thf(zip_derived_cl53, plain, 0.79/15.36 (![X4 : $i, X5 : $i, X6 : $i]: 0.79/15.36 ( (in @ X4 @ (binunion @ X5 @ X6)) | ~ (in @ X4 @ X5))), 0.79/15.36 inference('cnf', [status(esa)], [zf_stmt_4])). 0.79/15.36 thf(zip_derived_cl136, plain, 0.79/15.36 ( (in @ sk__181 @ (setminus @ sk__178 @ (binunion @ sk__179 @ sk__180)))), 0.79/15.36 inference('cnf', [status(esa)], [zf_stmt_4])). 0.79/15.36 thf(zip_derived_cl66, plain, 0.79/15.36 (![X26 : $i, X27 : $i, X28 : $i]: 0.79/15.36 (~ (in @ X26 @ (setminus @ X27 @ X28)) | ~ (in @ X26 @ X28))), 0.79/15.36 inference('cnf', [status(esa)], [zf_stmt_4])). 0.79/15.36 thf(zip_derived_cl342, plain, 0.79/15.36 (~ (in @ sk__181 @ (binunion @ sk__179 @ sk__180))), 0.79/15.36 inference('sup-', [status(thm)], [zip_derived_cl136, zip_derived_cl66])). 0.79/15.36 thf(zip_derived_cl355, plain, (~ (in @ sk__181 @ sk__179)), 0.79/15.36 inference('sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl342])). 0.79/15.36 thf(zip_derived_cl138, plain, ( (in @ sk__181 @ sk__178)), 0.79/15.36 inference('cnf', [status(esa)], [zf_stmt_4])). 0.79/15.36 thf(zip_derived_cl65, plain, 0.79/15.36 (![X23 : $i, X24 : $i, X25 : $i]: 0.79/15.36 ( (in @ X23 @ X24) 0.79/15.36 | ~ (in @ X23 @ X25) 0.79/15.36 | (in @ X23 @ (setminus @ X25 @ X24)))), 0.79/15.36 inference('cnf', [status(esa)], [zf_stmt_4])). 0.79/15.36 thf(zip_derived_cl412, plain, 0.79/15.36 (![X0 : $i]: 0.79/15.36 ( (in @ sk__181 @ (setminus @ sk__178 @ X0)) | (in @ sk__181 @ X0))), 0.79/15.36 inference('sup-', [status(thm)], [zip_derived_cl138, zip_derived_cl65])). 0.79/15.36 thf(zip_derived_cl137, plain, 0.79/15.36 (~ (in @ sk__181 @ (setminus @ sk__178 @ sk__179))), 0.79/15.36 inference('cnf', [status(esa)], [zf_stmt_4])). 0.79/15.36 thf(zip_derived_cl581, plain, ( (in @ sk__181 @ sk__179)), 0.79/15.36 inference('sup-', [status(thm)], [zip_derived_cl412, zip_derived_cl137])). 0.79/15.36 thf(zip_derived_cl597, plain, ($false), 0.79/15.36 inference('demod', [status(thm)], [zip_derived_cl355, zip_derived_cl581])). 0.79/15.36 0.79/15.36 % SZS output end Refutation 0.79/15.36 0.79/15.36 0.79/15.36 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 0.79/15.36 % Terminating... 1.16/15.41 % Runner terminated. 1.16/15.43 % Zipperpin 1.5 exiting 1.16/15.43 EOF