0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.17 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.oZXVgAXQQO true 0.17/0.38 % Computer : n006.cluster.edu 0.17/0.38 % Model : x86_64 x86_64 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.17/0.38 % Memory : 8042.1875MB 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64 0.17/0.38 % CPULimit : 1440 0.17/0.38 % WCLimit : 180 0.17/0.38 % DateTime : Mon Jul 3 05:11:51 EDT 2023 0.17/0.38 % CPUTime : 0.17/0.38 % Running portfolio for 1440 s 0.17/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.17/0.39 % Number of cores: 8 0.17/0.39 % Python version: Python 3.6.8 0.17/0.39 % Running in HO mode 0.53/0.71 % Total configuration time : 828 0.53/0.71 % Estimated wc time : 1656 0.53/0.71 % Estimated cpu time (8 cpus) : 207.0 0.59/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.59/0.77 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.59/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.59/0.78 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.59/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.60/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.60/0.82 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.60/0.84 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 19.37/3.13 % Solved by lams/40_c_ic.sh. 19.37/3.13 % done 1719 iterations in 2.262s 19.37/3.13 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 19.37/3.13 % SZS output start Refutation 19.37/3.13 thf(setadjoinAx_type, type, setadjoinAx: $o). 19.37/3.13 thf(notdexE_type, type, notdexE: $o). 19.37/3.13 thf(setukpairinjL2_type, type, setukpairinjL2: $o). 19.37/3.13 thf(doubleComplementI1_type, type, doubleComplementI1: $o). 19.37/3.13 thf(setunionAx_type, type, setunionAx: $o). 19.37/3.13 thf(setminusELneg_type, type, setminusELneg: $o). 19.37/3.13 thf(cartprodsndin_type, type, cartprodsndin: $o). 19.37/3.13 thf(ex1E1_type, type, ex1E1: $o). 19.37/3.13 thf(powersetE_type, type, powersetE: $o). 19.37/3.13 thf(omegaSAx_type, type, omegaSAx: $o). 19.37/3.13 thf(exuI1_type, type, exuI1: $o). 19.37/3.13 thf(exuI2_type, type, exuI2: $o). 19.37/3.13 thf(notequalI2_type, type, notequalI2: $o). 19.37/3.13 thf(setukpairinjL_type, type, setukpairinjL: $o). 19.37/3.13 thf(kpairiskpair_type, type, kpairiskpair: $o). 19.37/3.13 thf(upairsubunion_type, type, upairsubunion: $o). 19.37/3.13 thf(funcGraphProp3_type, type, funcGraphProp3: $o). 19.37/3.13 thf(binunionTE_type, type, binunionTE: $o). 19.37/3.13 thf(cartprodmempaircEq_type, type, cartprodmempaircEq: $o). 19.37/3.13 thf(binintersectTERcontra_type, type, binintersectTERcontra: $o). 19.37/3.13 thf(powerset__Cong_type, type, powerset__Cong: $o). 19.37/3.13 thf(setminusILneg_type, type, setminusILneg: $o). 19.37/3.13 thf(wellorderingAx_type, type, wellorderingAx: $o). 19.37/3.13 thf(ksndpairEq_type, type, ksndpairEq: $o). 19.37/3.13 thf(funcGraphProp2_type, type, funcGraphProp2: $o). 19.37/3.13 thf(setadjoinSub2_type, type, setadjoinSub2: $o). 19.37/3.13 thf(binintersectSubset5_type, type, binintersectSubset5: $o). 19.37/3.13 thf(iftrue_type, type, iftrue: $o). 19.37/3.13 thf(upairinpowunion_type, type, upairinpowunion: $o). 19.37/3.13 thf(ifSingleton_type, type, ifSingleton: $o). 19.37/3.13 thf(doubleComplementSub2_type, type, doubleComplementSub2: $o). 19.37/3.13 thf(setoftrueEq_type, type, setoftrueEq: $o). 19.37/3.13 thf(funcImageSingleton_type, type, funcImageSingleton: $o). 19.37/3.13 thf(inIntersectImpInUnion2_type, type, inIntersectImpInUnion2: $o). 19.37/3.13 thf(dpsetconstrERa_type, type, dpsetconstrERa: $o). 19.37/3.13 thf(lamProp_type, type, lamProp: $o). 19.37/3.13 thf(cartprodpairmemEL_type, type, cartprodpairmemEL: $o). 19.37/3.13 thf(emptyset__Cong_type, type, emptyset__Cong: $o). 19.37/3.13 thf(dpsetconstrER_type, type, dpsetconstrER: $o). 19.37/3.13 thf(sepInPowerset_type, type, sepInPowerset: $o). 19.37/3.13 thf(setukpairIR_type, type, setukpairIR: $o). 19.37/3.13 thf(setukpairinjR1_type, type, setukpairinjR1: $o). 19.37/3.13 thf(lam2p_type, type, lam2p: $o). 19.37/3.13 thf(kpair_type, type, kpair: $i > $i > $i). 19.37/3.13 thf(binunionE_type, type, binunionE: $o). 19.37/3.13 thf(setext_type, type, setext: $o). 19.37/3.13 thf(emptyinPowerset_type, type, emptyinPowerset: $o). 19.37/3.13 thf(ubforcartprodlem1_type, type, ubforcartprodlem1: $o). 19.37/3.13 thf(descr__Cong_type, type, descr__Cong: $o). 19.37/3.13 thf(kfstsingleton_type, type, kfstsingleton: $o). 19.37/3.13 thf(binintersectTELcontra_type, type, binintersectTELcontra: $o). 19.37/3.13 thf(doubleComplementEq_type, type, doubleComplementEq: $o). 19.37/3.13 thf(eqbreln_type, type, eqbreln: $o). 19.37/3.13 thf(binintersectSubset1_type, type, binintersectSubset1: $o). 19.37/3.13 thf(inComplementUnionImpInComplement1_type, type, inComplementUnionImpInComplement1: 19.37/3.13 $o). 19.37/3.13 thf(complementImpComplementIntersect_type, type, complementImpComplementIntersect: 19.37/3.13 $o). 19.37/3.13 thf(in_type, type, in: $i > $i > $o). 19.37/3.13 thf(binunionT_lem_type, type, binunionT_lem: $o). 19.37/3.13 thf(quantDeMorgan1_type, type, quantDeMorgan1: $o). 19.37/3.13 thf(complementT_lem_type, type, complementT_lem: $o). 19.37/3.13 thf(binunion_type, type, binunion: $i > $i > $i). 19.37/3.13 thf(kpairsurjEq_type, type, kpairsurjEq: $o). 19.37/3.13 thf(setadjoinIR_type, type, setadjoinIR: $o). 19.37/3.13 thf(doubleComplementE1_type, type, doubleComplementE1: $o). 19.37/3.13 thf(beta1_type, type, beta1: $o). 19.37/3.13 thf(setadjoin__Cong_type, type, setadjoin__Cong: $o). 19.37/3.13 thf(powersetTE1_type, type, powersetTE1: $o). 19.37/3.13 thf(symdiffI2_type, type, symdiffI2: $o). 19.37/3.13 thf(iftrueProp2_type, type, iftrueProp2: $o). 19.37/3.13 thf(upairset2IR_type, type, upairset2IR: $o). 19.37/3.13 thf(iffalseProp2_type, type, iffalseProp2: $o). 19.37/3.13 thf(subsetE_type, type, subsetE: $o). 19.37/3.13 thf(prop2set2propI_type, type, prop2set2propI: $o). 19.37/3.13 thf(dsetconstrEL_type, type, dsetconstrEL: $o). 19.37/3.13 thf(setbeta_type, type, setbeta: $o). 19.37/3.13 thf(eqinunit_type, type, eqinunit: $o). 19.37/3.13 thf(upairsetIL_type, type, upairsetIL: $o). 19.37/3.13 thf(powersetI1_type, type, powersetI1: $o). 19.37/3.13 thf(kfstpairEq_type, type, kfstpairEq: $o). 19.37/3.13 thf(binintersectSubset3_type, type, binintersectSubset3: $o). 19.37/3.13 thf(inComplementUnionImpNotIn1_type, type, inComplementUnionImpNotIn1: $o). 19.37/3.13 thf(setminusIRneg_type, type, setminusIRneg: $o). 19.37/3.13 thf(ap2apEq1_type, type, ap2apEq1: $o). 19.37/3.13 thf(powersetAx_type, type, powersetAx: $o). 19.37/3.13 thf(binintersectSubset4_type, type, binintersectSubset4: $o). 19.37/3.13 thf(singletoninpowunion_type, type, singletoninpowunion: $o). 19.37/3.13 thf(binunionTIRcontra_type, type, binunionTIRcontra: $o). 19.37/3.13 thf(powersetI_type, type, powersetI: $o). 19.37/3.13 thf(cartprodmempair_type, type, cartprodmempair: $o). 19.37/3.13 thf(upairsetIR_type, type, upairsetIR: $o). 19.37/3.13 thf(sk__220_type, type, sk__220: $i). 19.37/3.13 thf(lamp_type, type, lamp: $o). 19.37/3.13 thf(dpsetconstrEL1_type, type, dpsetconstrEL1: $o). 19.37/3.13 thf(inCongP_type, type, inCongP: $o). 19.37/3.13 thf(setadjoinSub_type, type, setadjoinSub: $o). 19.37/3.13 thf(exuE3e_type, type, exuE3e: $o). 19.37/3.13 thf(emptysetE_type, type, emptysetE: $o). 19.37/3.13 thf(binintersectSubset2_type, type, binintersectSubset2: $o). 19.37/3.13 thf(setunionI_type, type, setunionI: $o). 19.37/3.13 thf(setunion__Cong_type, type, setunion__Cong: $o). 19.37/3.13 thf(prop2setI_type, type, prop2setI: $o). 19.37/3.13 thf(singletonsuniq_type, type, singletonsuniq: $o). 19.37/3.13 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o). 19.37/3.13 thf(setminusER_type, type, setminusER: $o). 19.37/3.13 thf(exuE2_type, type, exuE2: $o). 19.37/3.13 thf(emptyset_type, type, emptyset: $i). 19.37/3.13 thf(setukpairinjR11_type, type, setukpairinjR11: $o). 19.37/3.13 thf(ex1I_type, type, ex1I: $o). 19.37/3.13 thf(ex1E2_type, type, ex1E2: $o). 19.37/3.13 thf(setminus_type, type, setminus: $i > $i > $i). 19.37/3.13 thf(setukpairinjL1_type, type, setukpairinjL1: $o). 19.37/3.13 thf(powersetsubset_type, type, powersetsubset: $o). 19.37/3.13 thf(binunionTILcontra_type, type, binunionTILcontra: $o). 19.37/3.13 thf(subPowSU_type, type, subPowSU: $o). 19.37/3.13 thf(notequalI1_type, type, notequalI1: $o). 19.37/3.13 thf(contrasubsetT_type, type, contrasubsetT: $o). 19.37/3.13 thf(notinemptyset_type, type, notinemptyset: $o). 19.37/3.13 thf(lam2lamEq_type, type, lam2lamEq: $o). 19.37/3.13 thf(nonemptyI1_type, type, nonemptyI1: $o). 19.37/3.13 thf(subsetTrans_type, type, subsetTrans: $o). 19.37/3.13 thf(kpairp_type, type, kpairp: $o). 19.37/3.13 thf(setukpairinjR12_type, type, setukpairinjR12: $o). 19.37/3.13 thf(setminusI_type, type, setminusI: $o). 19.37/3.13 thf(binunionIL_type, type, binunionIL: $o). 19.37/3.13 thf(dpsetconstrSub_type, type, dpsetconstrSub: $o). 19.37/3.13 thf(setunionsingleton_type, type, setunionsingleton: $o). 19.37/3.13 thf(subsetE2_type, type, subsetE2: $o). 19.37/3.13 thf(singletonsswitch_type, type, singletonsswitch: $o). 19.37/3.13 thf(sk__221_type, type, sk__221: $i). 19.37/3.13 thf(ubforcartprodlem3_type, type, ubforcartprodlem3: $o). 19.37/3.13 thf(beta2_type, type, beta2: $o). 19.37/3.13 thf(dpsetconstrI_type, type, dpsetconstrI: $o). 19.37/3.13 thf(setextsub_type, type, setextsub: $o). 19.37/3.13 thf(binunionLsub_type, type, binunionLsub: $o). 19.37/3.13 thf(setunionsingleton1_type, type, setunionsingleton1: $o). 19.37/3.13 thf(binintersect_type, type, binintersect: $i > $i > $i). 19.37/3.13 thf(demorgan2a2_type, type, demorgan2a2: $o). 19.37/3.13 thf(complementUnionInPowersetComplement_type, type, complementUnionInPowersetComplement: 19.37/3.13 $o). 19.37/3.13 thf(iftrueorfalse_type, type, iftrueorfalse: $o). 19.37/3.13 thf(emptysetsubset_type, type, emptysetsubset: $o). 19.37/3.13 thf(quantDeMorgan3_type, type, quantDeMorgan3: $o). 19.37/3.13 thf(cartprodpairsurjEq_type, type, cartprodpairsurjEq: $o). 19.37/3.13 thf(setOfPairsIsBReln_type, type, setOfPairsIsBReln: $o). 19.37/3.13 thf(setunionE_type, type, setunionE: $o). 19.37/3.13 thf(ksndsingleton_type, type, ksndsingleton: $o). 19.37/3.13 thf(setminusSubset1_type, type, setminusSubset1: $o). 19.37/3.13 thf(powersetT_lem_type, type, powersetT_lem: $o). 19.37/3.13 thf(emptyinunitempty_type, type, emptyinunitempty: $o). 19.37/3.13 thf(binunionIR_type, type, binunionIR: $o). 19.37/3.13 thf(theeq_type, type, theeq: $o). 19.37/3.13 thf(setadjoinE_type, type, setadjoinE: $o). 19.37/3.13 thf(doubleComplementSub1_type, type, doubleComplementSub1: $o). 19.37/3.13 thf(infuncsetfunc_type, type, infuncsetfunc: $o). 19.37/3.13 thf(ap2apEq2_type, type, ap2apEq2: $o). 19.37/3.13 thf(ap2p_type, type, ap2p: $o). 19.37/3.13 thf(setadjoinIL_type, type, setadjoinIL: $o). 19.37/3.13 thf(cartprodsndpairEq_type, type, cartprodsndpairEq: $o). 19.37/3.13 thf(exuE1_type, type, exuE1: $o). 19.37/3.13 thf(ubforcartprodlem2_type, type, ubforcartprodlem2: $o). 19.37/3.13 thf(binintersectRsub_type, type, binintersectRsub: $o). 19.37/3.13 thf(setminusLsub_type, type, setminusLsub: $o). 19.37/3.13 thf(funcextLem_type, type, funcextLem: $o). 19.37/3.13 thf(setukpairinjR_type, type, setukpairinjR: $o). 19.37/3.13 thf(notinsingleton_type, type, notinsingleton: $o). 19.37/3.13 thf(inIntersectImpInIntersectUnions_type, type, inIntersectImpInIntersectUnions: 19.37/3.13 $o). 19.37/3.13 thf(eqimpsubset2_type, type, eqimpsubset2: $o). 19.37/3.13 thf(exuEu_type, type, exuEu: $o). 19.37/3.13 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o). 19.37/3.13 thf(upairsetE_type, type, upairsetE: $o). 19.37/3.13 thf(omega0Ax_type, type, omega0Ax: $o). 19.37/3.13 thf(subsetTI_type, type, subsetTI: $o). 19.37/3.13 thf(notsubsetI_type, type, notsubsetI: $o). 19.37/3.13 thf(contraSubsetComplement_type, type, contraSubsetComplement: $o). 19.37/3.13 thf(iffalseProp1_type, type, iffalseProp1: $o). 19.37/3.13 thf(quantDeMorgan4_type, type, quantDeMorgan4: $o). 19.37/3.13 thf(setextAx_type, type, setextAx: $o). 19.37/3.13 thf(cartprodpairmemER_type, type, cartprodpairmemER: $o). 19.37/3.13 thf(powersetE1_type, type, powersetE1: $o). 19.37/3.13 thf(bs114d_type, type, bs114d: $o). 19.37/3.13 thf(contrasubsetT3_type, type, contrasubsetT3: $o). 19.37/3.13 thf(noeltsimpempty_type, type, noeltsimpempty: $o). 19.37/3.13 thf(complementTcontraSubset_type, type, complementTcontraSubset: $o). 19.37/3.13 thf(ifp_type, type, ifp: $o). 19.37/3.13 thf(sk__222_type, type, sk__222: $i). 19.37/3.13 thf(inIntersectImpInUnion_type, type, inIntersectImpInUnion: $o). 19.37/3.13 thf(powersetTI1_type, type, powersetTI1: $o). 19.37/3.13 thf(binintersectLsub_type, type, binintersectLsub: $o). 19.37/3.13 thf(subsetI1_type, type, subsetI1: $o). 19.37/3.13 thf(symdiffE_type, type, symdiffE: $o). 19.37/3.13 thf(descrp_type, type, descrp: $o). 19.37/3.13 thf(dsetconstr__Cong_type, type, dsetconstr__Cong: $o). 19.37/3.13 thf(foundationAx_type, type, foundationAx: $o). 19.37/3.13 thf(emptysetAx_type, type, emptysetAx: $o). 19.37/3.13 thf(emptyI_type, type, emptyI: $o). 19.37/3.13 thf(setadjoinOr_type, type, setadjoinOr: $o). 19.37/3.13 thf(eta2_type, type, eta2: $o). 19.37/3.13 thf(binintersectEL_type, type, binintersectEL: $o). 19.37/3.13 thf(emptyE1_type, type, emptyE1: $o). 19.37/3.13 thf(emptyInPowerset_type, type, emptyInPowerset: $o). 19.37/3.13 thf(complementTI1_type, type, complementTI1: $o). 19.37/3.13 thf(vacuousDall_type, type, vacuousDall: $o). 19.37/3.13 thf(dsetconstrER_type, type, dsetconstrER: $o). 19.37/3.13 thf(binintersectI_type, type, binintersectI: $o). 19.37/3.13 thf(funcext_type, type, funcext: $o). 19.37/3.13 thf(funcGraphProp4_type, type, funcGraphProp4: $o). 19.37/3.13 thf(cartprodpairin_type, type, cartprodpairin: $o). 19.37/3.13 thf(cartprodmempair1_type, type, cartprodmempair1: $o). 19.37/3.13 thf(brelnall2_type, type, brelnall2: $o). 19.37/3.13 thf(setextT_type, type, setextT: $o). 19.37/3.13 thf(ex1I2_type, type, ex1I2: $o). 19.37/3.13 thf(symdiffI1_type, type, symdiffI1: $o). 19.37/3.13 thf(setukpairinjR2_type, type, setukpairinjR2: $o). 19.37/3.13 thf(dpsetconstrEL2_type, type, dpsetconstrEL2: $o). 19.37/3.13 thf(theprop_type, type, theprop: $o). 19.37/3.13 thf(subsetI2_type, type, subsetI2: $o). 19.37/3.13 thf(complementInPowersetComplementIntersect_type, type, complementInPowersetComplementIntersect: 19.37/3.13 $o). 19.37/3.13 thf(setminusT_lem_type, type, setminusT_lem: $o). 19.37/3.13 thf(symdiffIneg1_type, type, symdiffIneg1: $o). 19.37/3.13 thf(setminusERneg_type, type, setminusERneg: $o). 19.37/3.13 thf(symdiffIneg2_type, type, symdiffIneg2: $o). 19.37/3.13 thf(omega__Cong_type, type, omega__Cong: $o). 19.37/3.13 thf(subsetRefl_type, type, subsetRefl: $o). 19.37/3.13 thf(uniqinunit_type, type, uniqinunit: $o). 19.37/3.13 thf(complementSubsetComplementIntersect_type, type, complementSubsetComplementIntersect: 19.37/3.13 $o). 19.37/3.13 thf(setminusSubset2_type, type, setminusSubset2: $o). 19.37/3.13 thf(prop2setE_type, type, prop2setE: $o). 19.37/3.13 thf(binunionEcases_type, type, binunionEcases: $o). 19.37/3.14 thf(funcinfuncset_type, type, funcinfuncset: $o). 19.37/3.14 thf(complementTE1_type, type, complementTE1: $o). 19.37/3.14 thf(nonemptyI_type, type, nonemptyI: $o). 19.37/3.14 thf(app_type, type, app: $o). 19.37/3.14 thf(disjointsetsI1_type, type, disjointsetsI1: $o). 19.37/3.14 thf(demorgan2a1_type, type, demorgan2a1: $o). 19.37/3.14 thf(exuE3u_type, type, exuE3u: $o). 19.37/3.14 thf(eta1_type, type, eta1: $o). 19.37/3.14 thf(setminusEL_type, type, setminusEL: $o). 19.37/3.14 thf(cartprodfstin_type, type, cartprodfstin: $o). 19.37/3.14 thf(setunionsingleton2_type, type, setunionsingleton2: $o). 19.37/3.14 thf(sepSubset_type, type, sepSubset: $o). 19.37/3.14 thf(complementTnotintersectT_type, type, complementTnotintersectT: $o). 19.37/3.14 thf(upairset2E_type, type, upairset2E: $o). 19.37/3.14 thf(eqimpsubset1_type, type, eqimpsubset1: $o). 19.37/3.14 thf(exuI3_type, type, exuI3: $o). 19.37/3.14 thf(cartprodfstpairEq_type, type, cartprodfstpairEq: $o). 19.37/3.14 thf(apProp_type, type, apProp: $o). 19.37/3.14 thf(notdallE_type, type, notdallE: $o). 19.37/3.14 thf(iftrueProp1_type, type, iftrueProp1: $o). 19.37/3.14 thf(binintersectER_type, type, binintersectER: $o). 19.37/3.14 thf(brelnall1_type, type, brelnall1: $o). 19.37/3.14 thf(powerset_type, type, powerset: $i > $i). 19.37/3.14 thf(binunionTEcontra_type, type, binunionTEcontra: $o). 19.37/3.14 thf(dsetconstrI_type, type, dsetconstrI: $o). 19.37/3.14 thf(funcGraphProp1_type, type, funcGraphProp1: $o). 19.37/3.14 thf(binintersectT_lem_type, type, binintersectT_lem: $o). 19.37/3.14 thf(setadjoin_type, type, setadjoin: $i > $i > $i). 19.37/3.14 thf(exu__Cong_type, type, exu__Cong: $o). 19.37/3.14 thf(intersectInPowersetIntersectUnions_type, type, intersectInPowersetIntersectUnions: 19.37/3.14 $o). 19.37/3.14 thf(sk__223_type, type, sk__223: $i). 19.37/3.14 thf(quantDeMorgan2_type, type, quantDeMorgan2: $o). 19.37/3.14 thf(contrasubsetT2_type, type, contrasubsetT2: $o). 19.37/3.14 thf(secondinupair_type, type, secondinupair: $o). 19.37/3.14 thf(singletonprop_type, type, singletonprop: $o). 19.37/3.14 thf(singletonsubset_type, type, singletonsubset: $o). 19.37/3.14 thf(contrasubsetT1_type, type, contrasubsetT1: $o). 19.37/3.14 thf(singletoninpowerset_type, type, singletoninpowerset: $o). 19.37/3.14 thf(subsetemptysetimpeq_type, type, subsetemptysetimpeq: $o). 19.37/3.14 thf(replAx_type, type, replAx: $o). 19.37/3.14 thf(upairequniteq_type, type, upairequniteq: $o). 19.37/3.14 thf(nonemptyE1_type, type, nonemptyE1: $o). 19.37/3.14 thf(omegaIndAx_type, type, omegaIndAx: $o). 19.37/3.14 thf(setukpairIL_type, type, setukpairIL: $o). 19.37/3.14 thf(setunionE2_type, type, setunionE2: $o). 19.37/3.14 thf(inPowerset_type, type, inPowerset: $o). 19.37/3.14 thf(iffalse_type, type, iffalse: $o). 19.37/3.14 thf(funcext2_type, type, funcext2: $o). 19.37/3.14 thf(subset_type, type, subset: $i > $i > $o). 19.37/3.14 thf(subbreln_type, type, subbreln: $o). 19.37/3.14 thf(in__Cong_type, type, in__Cong: $o). 19.37/3.14 thf(binunionRsub_type, type, binunionRsub: $o). 19.37/3.14 thf(subset2powerset_type, type, subset2powerset: $o). 19.37/3.14 thf(demorgan2a2, axiom, demorgan2a2 = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ![Y:$i]: 19.37/3.14 ( ( in @ Y @ ( powerset @ A ) ) => 19.37/3.14 ( ![Xx:$i]: 19.37/3.14 ( ( in @ Xx @ A ) => 19.37/3.14 ( ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) ) => 19.37/3.14 ( in @ Xx @ ( setminus @ A @ Y ) ) ) ) ) ) ) ))). 19.37/3.14 thf('0', plain, 19.37/3.14 (( demorgan2a2 ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X10:$i]: 19.37/3.14 ( ( in @ X10 @ X4 ) => 19.37/3.14 ( ( in @ X10 @ ( setminus @ X4 @ ( binunion @ X6 @ X8 ) ) ) => 19.37/3.14 ( in @ X10 @ ( setminus @ X4 @ X8 ) ) ) ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(complementUnionInPowersetComplement, axiom, 19.37/3.14 complementUnionInPowersetComplement = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ![Y:$i]: 19.37/3.14 ( ( in @ Y @ ( powerset @ A ) ) => 19.37/3.14 ( in @ 19.37/3.14 ( setminus @ A @ ( binunion @ X @ Y ) ) @ 19.37/3.14 ( powerset @ ( setminus @ A @ X ) ) ) ) ) ))). 19.37/3.14 thf('1', plain, 19.37/3.14 (( complementUnionInPowersetComplement ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( powerset @ X4 ) ) => 19.37/3.14 ( in @ 19.37/3.14 ( setminus @ X4 @ ( binunion @ X6 @ X8 ) ) @ 19.37/3.14 ( powerset @ ( setminus @ X4 @ X6 ) ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(demorgan2a1, axiom, demorgan2a1 = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ![Y:$i]: 19.37/3.14 ( ( in @ Y @ ( powerset @ A ) ) => 19.37/3.14 ( ![Xx:$i]: 19.37/3.14 ( ( in @ Xx @ A ) => 19.37/3.14 ( ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) ) => 19.37/3.14 ( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ) ))). 19.37/3.14 thf('2', plain, 19.37/3.14 (( demorgan2a1 ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X10:$i]: 19.37/3.14 ( ( in @ X10 @ X4 ) => 19.37/3.14 ( ( in @ X10 @ ( setminus @ X4 @ ( binunion @ X6 @ X8 ) ) ) => 19.37/3.14 ( in @ X10 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(binunionTEcontra, axiom, binunionTEcontra = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ![Y:$i]: 19.37/3.14 ( ( in @ Y @ ( powerset @ A ) ) => 19.37/3.14 ( ![Xx:$i]: 19.37/3.14 ( ( in @ Xx @ A ) => 19.37/3.14 ( ( ~( in @ Xx @ X ) ) => 19.37/3.14 ( ( ~( in @ Xx @ Y ) ) => 19.37/3.14 ( ~( in @ Xx @ ( binunion @ X @ Y ) ) ) ) ) ) ) ) ) ))). 19.37/3.14 thf('3', plain, 19.37/3.14 (( binunionTEcontra ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X10:$i]: 19.37/3.14 ( ( in @ X10 @ X4 ) => 19.37/3.14 ( ( ~( in @ X10 @ X6 ) ) => 19.37/3.14 ( ( ~( in @ X10 @ X8 ) ) => 19.37/3.14 ( ~( in @ X10 @ ( binunion @ X6 @ X8 ) ) ) ) ) ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(binunionTE, axiom, binunionTE = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ![Y:$i]: 19.37/3.14 ( ( in @ Y @ ( powerset @ A ) ) => 19.37/3.14 ( ![Xphi:$o,Xx:$i]: 19.37/3.14 ( ( in @ Xx @ A ) => 19.37/3.14 ( ( in @ Xx @ ( binunion @ X @ Y ) ) => 19.37/3.14 ( ( ( in @ Xx @ X ) => ( Xphi ) ) => 19.37/3.14 ( ( ( in @ Xx @ Y ) => ( Xphi ) ) => ( Xphi ) ) ) ) ) ) ) ) ))). 19.37/3.14 thf('4', plain, 19.37/3.14 (( binunionTE ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X10:$o,X12:$i]: 19.37/3.14 ( ( in @ X12 @ X4 ) => 19.37/3.14 ( ( in @ X12 @ ( binunion @ X6 @ X8 ) ) => 19.37/3.14 ( ( ( in @ X12 @ X6 ) => ( X10 ) ) => 19.37/3.14 ( ( ( in @ X12 @ X8 ) => ( X10 ) ) => ( X10 ) ) ) ) ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(inComplementUnionImpInComplement1, axiom, 19.37/3.14 inComplementUnionImpInComplement1 = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ![Y:$i]: 19.37/3.14 ( ( in @ Y @ ( powerset @ A ) ) => 19.37/3.14 ( ![Xx:$i]: 19.37/3.14 ( ( in @ Xx @ A ) => 19.37/3.14 ( ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) ) => 19.37/3.14 ( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ) ))). 19.37/3.14 thf('5', plain, 19.37/3.14 (( inComplementUnionImpInComplement1 ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X10:$i]: 19.37/3.14 ( ( in @ X10 @ X4 ) => 19.37/3.14 ( ( in @ X10 @ ( setminus @ X4 @ ( binunion @ X6 @ X8 ) ) ) => 19.37/3.14 ( in @ X10 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(inComplementUnionImpNotIn1, axiom, inComplementUnionImpNotIn1 = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ![Y:$i]: 19.37/3.14 ( ( in @ Y @ ( powerset @ A ) ) => 19.37/3.14 ( ![Xx:$i]: 19.37/3.14 ( ( in @ Xx @ A ) => 19.37/3.14 ( ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) ) => 19.37/3.14 ( ~( in @ Xx @ X ) ) ) ) ) ) ) ))). 19.37/3.14 thf('6', plain, 19.37/3.14 (( inComplementUnionImpNotIn1 ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X10:$i]: 19.37/3.14 ( ( in @ X10 @ X4 ) => 19.37/3.14 ( ( in @ X10 @ ( setminus @ X4 @ ( binunion @ X6 @ X8 ) ) ) => 19.37/3.14 ( ~( in @ X10 @ X6 ) ) ) ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(intersectInPowersetIntersectUnions, axiom, 19.37/3.14 intersectInPowersetIntersectUnions = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ![Y:$i]: 19.37/3.14 ( ( in @ Y @ ( powerset @ A ) ) => 19.37/3.14 ( ![Z:$i]: 19.37/3.14 ( ( in @ Z @ ( powerset @ A ) ) => 19.37/3.14 ( in @ 19.37/3.14 ( binintersect @ X @ Y ) @ 19.37/3.14 ( powerset @ 19.37/3.14 ( binintersect @ ( binunion @ X @ Z ) @ ( binunion @ Y @ Z ) ) ) ) ) ) ) ) ))). 19.37/3.14 thf('7', plain, 19.37/3.14 (( intersectInPowersetIntersectUnions ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X10:$i]: 19.37/3.14 ( ( in @ X10 @ ( powerset @ X4 ) ) => 19.37/3.14 ( in @ 19.37/3.14 ( binintersect @ X6 @ X8 ) @ 19.37/3.14 ( powerset @ 19.37/3.14 ( binintersect @ 19.37/3.14 ( binunion @ X6 @ X10 ) @ ( binunion @ X8 @ X10 ) ) ) ) ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(inIntersectImpInIntersectUnions, axiom, inIntersectImpInIntersectUnions = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ![Y:$i]: 19.37/3.14 ( ( in @ Y @ ( powerset @ A ) ) => 19.37/3.14 ( ![Z:$i]: 19.37/3.14 ( ( in @ Z @ ( powerset @ A ) ) => 19.37/3.14 ( ![Xx:$i]: 19.37/3.14 ( ( in @ Xx @ A ) => 19.37/3.14 ( ( in @ Xx @ ( binintersect @ X @ Y ) ) => 19.37/3.14 ( in @ 19.37/3.14 Xx @ 19.37/3.14 ( binintersect @ 19.37/3.14 ( binunion @ X @ Z ) @ ( binunion @ Y @ Z ) ) ) ) ) ) ) ) ) ) ))). 19.37/3.14 thf('8', plain, 19.37/3.14 (( inIntersectImpInIntersectUnions ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X10:$i]: 19.37/3.14 ( ( in @ X10 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X12:$i]: 19.37/3.14 ( ( in @ X12 @ X4 ) => 19.37/3.14 ( ( in @ X12 @ ( binintersect @ X6 @ X8 ) ) => 19.37/3.14 ( in @ 19.37/3.14 X12 @ 19.37/3.14 ( binintersect @ 19.37/3.14 ( binunion @ X6 @ X10 ) @ ( binunion @ X8 @ X10 ) ) ) ) ) ) ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(inIntersectImpInUnion2, axiom, inIntersectImpInUnion2 = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ![Y:$i]: 19.37/3.14 ( ( in @ Y @ ( powerset @ A ) ) => 19.37/3.14 ( ![Z:$i]: 19.37/3.14 ( ( in @ Z @ ( powerset @ A ) ) => 19.37/3.14 ( ![Xx:$i]: 19.37/3.14 ( ( in @ Xx @ A ) => 19.37/3.14 ( ( in @ Xx @ ( binintersect @ X @ Y ) ) => 19.37/3.14 ( in @ Xx @ ( binunion @ Y @ Z ) ) ) ) ) ) ) ) ) ))). 19.37/3.14 thf('9', plain, 19.37/3.14 (( inIntersectImpInUnion2 ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X10:$i]: 19.37/3.14 ( ( in @ X10 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X12:$i]: 19.37/3.14 ( ( in @ X12 @ X4 ) => 19.37/3.14 ( ( in @ X12 @ ( binintersect @ X6 @ X8 ) ) => 19.37/3.14 ( in @ X12 @ ( binunion @ X8 @ X10 ) ) ) ) ) ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(inIntersectImpInUnion, axiom, inIntersectImpInUnion = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ![Y:$i]: 19.37/3.14 ( ( in @ Y @ ( powerset @ A ) ) => 19.37/3.14 ( ![Z:$i]: 19.37/3.14 ( ( in @ Z @ ( powerset @ A ) ) => 19.37/3.14 ( ![Xx:$i]: 19.37/3.14 ( ( in @ Xx @ A ) => 19.37/3.14 ( ( in @ Xx @ ( binintersect @ X @ Y ) ) => 19.37/3.14 ( in @ Xx @ ( binunion @ X @ Z ) ) ) ) ) ) ) ) ) ))). 19.37/3.14 thf('10', plain, 19.37/3.14 (( inIntersectImpInUnion ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X10:$i]: 19.37/3.14 ( ( in @ X10 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X12:$i]: 19.37/3.14 ( ( in @ X12 @ X4 ) => 19.37/3.14 ( ( in @ X12 @ ( binintersect @ X6 @ X8 ) ) => 19.37/3.14 ( in @ X12 @ ( binunion @ X6 @ X10 ) ) ) ) ) ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(binunionTIRcontra, axiom, binunionTIRcontra = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ![Y:$i]: 19.37/3.14 ( ( in @ Y @ ( powerset @ A ) ) => 19.37/3.14 ( ![Xx:$i]: 19.37/3.14 ( ( in @ Xx @ A ) => 19.37/3.14 ( ( ~( in @ Xx @ ( binunion @ X @ Y ) ) ) => 19.37/3.14 ( ~( in @ Xx @ Y ) ) ) ) ) ) ) ))). 19.37/3.14 thf('11', plain, 19.37/3.14 (( binunionTIRcontra ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X10:$i]: 19.37/3.14 ( ( in @ X10 @ X4 ) => 19.37/3.14 ( ( ~( in @ X10 @ ( binunion @ X6 @ X8 ) ) ) => 19.37/3.14 ( ~( in @ X10 @ X8 ) ) ) ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(binunionTILcontra, axiom, binunionTILcontra = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ![Y:$i]: 19.37/3.14 ( ( in @ Y @ ( powerset @ A ) ) => 19.37/3.14 ( ![Xx:$i]: 19.37/3.14 ( ( in @ Xx @ A ) => 19.37/3.14 ( ( ~( in @ Xx @ ( binunion @ X @ Y ) ) ) => 19.37/3.14 ( ~( in @ Xx @ X ) ) ) ) ) ) ) ))). 19.37/3.14 thf('12', plain, 19.37/3.14 (( binunionTILcontra ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X10:$i]: 19.37/3.14 ( ( in @ X10 @ X4 ) => 19.37/3.14 ( ( ~( in @ X10 @ ( binunion @ X6 @ X8 ) ) ) => 19.37/3.14 ( ~( in @ X10 @ X6 ) ) ) ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(complementTcontraSubset, axiom, complementTcontraSubset = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ![Y:$i]: 19.37/3.14 ( ( in @ Y @ ( powerset @ A ) ) => 19.37/3.14 ( ( subset @ X @ ( setminus @ A @ Y ) ) => 19.37/3.14 ( subset @ Y @ ( setminus @ A @ X ) ) ) ) ) ))). 19.37/3.14 thf('13', plain, 19.37/3.14 (( complementTcontraSubset ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ( subset @ X6 @ ( setminus @ X4 @ X8 ) ) => 19.37/3.14 ( subset @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(contraSubsetComplement, axiom, contraSubsetComplement = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ![Y:$i]: 19.37/3.14 ( ( in @ Y @ ( powerset @ A ) ) => 19.37/3.14 ( ( subset @ X @ ( setminus @ A @ Y ) ) => 19.37/3.14 ( ![Xx:$i]: 19.37/3.14 ( ( in @ Xx @ A ) => 19.37/3.14 ( ( in @ Xx @ Y ) => ( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ) ) ))). 19.37/3.14 thf('14', plain, 19.37/3.14 (( contraSubsetComplement ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ( subset @ X6 @ ( setminus @ X4 @ X8 ) ) => 19.37/3.14 ( ![X10:$i]: 19.37/3.14 ( ( in @ X10 @ X4 ) => 19.37/3.14 ( ( in @ X10 @ X8 ) => 19.37/3.14 ( in @ X10 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(complementInPowersetComplementIntersect, axiom, 19.37/3.14 complementInPowersetComplementIntersect = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ![Y:$i]: 19.37/3.14 ( ( in @ Y @ ( powerset @ A ) ) => 19.37/3.14 ( in @ 19.37/3.14 ( setminus @ A @ X ) @ 19.37/3.14 ( powerset @ ( setminus @ A @ ( binintersect @ X @ Y ) ) ) ) ) ) ))). 19.37/3.14 thf('15', plain, 19.37/3.14 (( complementInPowersetComplementIntersect ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( powerset @ X4 ) ) => 19.37/3.14 ( in @ 19.37/3.14 ( setminus @ X4 @ X6 ) @ 19.37/3.14 ( powerset @ ( setminus @ X4 @ ( binintersect @ X6 @ X8 ) ) ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(complementSubsetComplementIntersect, axiom, 19.37/3.14 complementSubsetComplementIntersect = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ![Y:$i]: 19.37/3.14 ( ( in @ Y @ ( powerset @ A ) ) => 19.37/3.14 ( subset @ 19.37/3.14 ( setminus @ A @ X ) @ ( setminus @ A @ ( binintersect @ X @ Y ) ) ) ) ) ))). 19.37/3.14 thf('16', plain, 19.37/3.14 (( complementSubsetComplementIntersect ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( powerset @ X4 ) ) => 19.37/3.14 ( subset @ 19.37/3.14 ( setminus @ X4 @ X6 ) @ 19.37/3.14 ( setminus @ X4 @ ( binintersect @ X6 @ X8 ) ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(complementImpComplementIntersect, axiom, 19.37/3.14 complementImpComplementIntersect = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ![Y:$i]: 19.37/3.14 ( ( in @ Y @ ( powerset @ A ) ) => 19.37/3.14 ( ![Xx:$i]: 19.37/3.14 ( ( in @ Xx @ A ) => 19.37/3.14 ( ( in @ Xx @ ( setminus @ A @ X ) ) => 19.37/3.14 ( in @ Xx @ ( setminus @ A @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ))). 19.37/3.14 thf('17', plain, 19.37/3.14 (( complementImpComplementIntersect ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X10:$i]: 19.37/3.14 ( ( in @ X10 @ X4 ) => 19.37/3.14 ( ( in @ X10 @ ( setminus @ X4 @ X6 ) ) => 19.37/3.14 ( in @ 19.37/3.14 X10 @ ( setminus @ X4 @ ( binintersect @ X6 @ X8 ) ) ) ) ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(complementTnotintersectT, axiom, complementTnotintersectT = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ![Y:$i]: 19.37/3.14 ( ( in @ Y @ ( powerset @ A ) ) => 19.37/3.14 ( ![Xx:$i]: 19.37/3.14 ( ( in @ Xx @ A ) => 19.37/3.14 ( ( in @ Xx @ ( setminus @ A @ X ) ) => 19.37/3.14 ( ~( in @ Xx @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ))). 19.37/3.14 thf('18', plain, 19.37/3.14 (( complementTnotintersectT ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X10:$i]: 19.37/3.14 ( ( in @ X10 @ X4 ) => 19.37/3.14 ( ( in @ X10 @ ( setminus @ X4 @ X6 ) ) => 19.37/3.14 ( ~( in @ X10 @ ( binintersect @ X6 @ X8 ) ) ) ) ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(doubleComplementEq, axiom, doubleComplementEq = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ( X ) = ( setminus @ A @ ( setminus @ A @ X ) ) ) ))). 19.37/3.14 thf('19', plain, 19.37/3.14 (( doubleComplementEq ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ( X6 ) = ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(doubleComplementSub2, axiom, doubleComplementSub2 = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( subset @ ( setminus @ A @ ( setminus @ A @ X ) ) @ X ) ))). 19.37/3.14 thf('20', plain, 19.37/3.14 (( doubleComplementSub2 ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( subset @ ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) @ X6 ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(doubleComplementSub1, axiom, doubleComplementSub1 = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( subset @ X @ ( setminus @ A @ ( setminus @ A @ X ) ) ) ))). 19.37/3.14 thf('21', plain, 19.37/3.14 (( doubleComplementSub1 ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( subset @ X6 @ ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(doubleComplementE1, axiom, doubleComplementE1 = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ![Xx:$i]: 19.37/3.14 ( ( in @ Xx @ A ) => 19.37/3.14 ( ( in @ Xx @ ( setminus @ A @ ( setminus @ A @ X ) ) ) => 19.37/3.14 ( in @ Xx @ X ) ) ) ) ))). 19.37/3.14 thf('22', plain, 19.37/3.14 (( doubleComplementE1 ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X8:$i]: 19.37/3.14 ( ( in @ X8 @ X4 ) => 19.37/3.14 ( ( in @ X8 @ ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) ) => 19.37/3.14 ( in @ X8 @ X6 ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(doubleComplementI1, axiom, doubleComplementI1 = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ![Xx:$i]: 19.37/3.14 ( ( in @ Xx @ A ) => 19.37/3.14 ( ( in @ Xx @ X ) => 19.37/3.14 ( in @ Xx @ ( setminus @ A @ ( setminus @ A @ X ) ) ) ) ) ) ))). 19.37/3.14 thf('23', plain, 19.37/3.14 (( doubleComplementI1 ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X8:$i]: 19.37/3.14 ( ( in @ X8 @ X4 ) => 19.37/3.14 ( ( in @ X8 @ X6 ) => 19.37/3.14 ( in @ X8 @ ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(contrasubsetT3, axiom, contrasubsetT3 = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ![Y:$i]: 19.37/3.14 ( ( in @ Y @ ( powerset @ A ) ) => 19.37/3.14 ( ( subset @ ( setminus @ A @ Y ) @ ( setminus @ A @ X ) ) => 19.37/3.14 ( subset @ X @ Y ) ) ) ) ))). 19.37/3.14 thf('24', plain, 19.37/3.14 (( contrasubsetT3 ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ( subset @ ( setminus @ X4 @ X8 ) @ ( setminus @ X4 @ X6 ) ) => 19.37/3.14 ( subset @ X6 @ X8 ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(contrasubsetT2, axiom, contrasubsetT2 = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ![Y:$i]: 19.37/3.14 ( ( in @ Y @ ( powerset @ A ) ) => 19.37/3.14 ( ( subset @ X @ Y ) => 19.37/3.14 ( subset @ ( setminus @ A @ Y ) @ ( setminus @ A @ X ) ) ) ) ) ))). 19.37/3.14 thf('25', plain, 19.37/3.14 (( contrasubsetT2 ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ( subset @ X6 @ X8 ) => 19.37/3.14 ( subset @ ( setminus @ X4 @ X8 ) @ ( setminus @ X4 @ X6 ) ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(contrasubsetT, axiom, contrasubsetT = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ![Y:$i]: 19.37/3.14 ( ( in @ Y @ ( powerset @ A ) ) => 19.37/3.14 ( ![Xx:$i]: 19.37/3.14 ( ( in @ Xx @ A ) => 19.37/3.14 ( ( subset @ X @ ( setminus @ A @ Y ) ) => 19.37/3.14 ( ( in @ Xx @ Y ) => ( ~( in @ Xx @ X ) ) ) ) ) ) ) ) ))). 19.37/3.14 thf('26', plain, 19.37/3.14 (( contrasubsetT ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X10:$i]: 19.37/3.14 ( ( in @ X10 @ X4 ) => 19.37/3.14 ( ( subset @ X6 @ ( setminus @ X4 @ X8 ) ) => 19.37/3.14 ( ( in @ X10 @ X8 ) => ( ~( in @ X10 @ X6 ) ) ) ) ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(binintersectTERcontra, axiom, binintersectTERcontra = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ![Y:$i]: 19.37/3.14 ( ( in @ Y @ ( powerset @ A ) ) => 19.37/3.14 ( ![Xx:$i]: 19.37/3.14 ( ( in @ Xx @ A ) => 19.37/3.14 ( ( ~( in @ Xx @ Y ) ) => 19.37/3.14 ( ~( in @ Xx @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ))). 19.37/3.14 thf('27', plain, 19.37/3.14 (( binintersectTERcontra ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X10:$i]: 19.37/3.14 ( ( in @ X10 @ X4 ) => 19.37/3.14 ( ( ~( in @ X10 @ X8 ) ) => 19.37/3.14 ( ~( in @ X10 @ ( binintersect @ X6 @ X8 ) ) ) ) ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(binintersectTELcontra, axiom, binintersectTELcontra = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ![Y:$i]: 19.37/3.14 ( ( in @ Y @ ( powerset @ A ) ) => 19.37/3.14 ( ![Xx:$i]: 19.37/3.14 ( ( in @ Xx @ A ) => 19.37/3.14 ( ( ~( in @ Xx @ X ) ) => 19.37/3.14 ( ~( in @ Xx @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ))). 19.37/3.14 thf('28', plain, 19.37/3.14 (( binintersectTELcontra ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X10:$i]: 19.37/3.14 ( ( in @ X10 @ X4 ) => 19.37/3.14 ( ( ~( in @ X10 @ X6 ) ) => 19.37/3.14 ( ~( in @ X10 @ ( binintersect @ X6 @ X8 ) ) ) ) ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(complementTE1, axiom, complementTE1 = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ![Xx:$i]: 19.37/3.14 ( ( in @ Xx @ A ) => 19.37/3.14 ( ( ~( in @ Xx @ ( setminus @ A @ X ) ) ) => ( in @ Xx @ X ) ) ) ) ))). 19.37/3.14 thf('29', plain, 19.37/3.14 (( complementTE1 ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X8:$i]: 19.37/3.14 ( ( in @ X8 @ X4 ) => 19.37/3.14 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => ( in @ X8 @ X6 ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(complementTI1, axiom, complementTI1 = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ![Xx:$i]: 19.37/3.14 ( ( in @ Xx @ A ) => 19.37/3.14 ( ( in @ Xx @ X ) => ( ~( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ))). 19.37/3.14 thf('30', plain, 19.37/3.14 (( complementTI1 ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X8:$i]: 19.37/3.14 ( ( in @ X8 @ X4 ) => 19.37/3.14 ( ( in @ X8 @ X6 ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(complementT_lem, axiom, complementT_lem = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( in @ ( setminus @ A @ X ) @ ( powerset @ A ) ) ))). 19.37/3.14 thf('31', plain, 19.37/3.14 (( complementT_lem ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( in @ ( setminus @ X4 @ X6 ) @ ( powerset @ X4 ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(setminusT_lem, axiom, setminusT_lem = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ![Y:$i]: 19.37/3.14 ( ( in @ Y @ ( powerset @ A ) ) => 19.37/3.14 ( in @ ( setminus @ X @ Y ) @ ( powerset @ A ) ) ) ) ))). 19.37/3.14 thf('32', plain, 19.37/3.14 (( setminusT_lem ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( powerset @ X4 ) ) => 19.37/3.14 ( in @ ( setminus @ X6 @ X8 ) @ ( powerset @ X4 ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(binunionT_lem, axiom, binunionT_lem = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ![Y:$i]: 19.37/3.14 ( ( in @ Y @ ( powerset @ A ) ) => 19.37/3.14 ( in @ ( binunion @ X @ Y ) @ ( powerset @ A ) ) ) ) ))). 19.37/3.14 thf('33', plain, 19.37/3.14 (( binunionT_lem ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( powerset @ X4 ) ) => 19.37/3.14 ( in @ ( binunion @ X6 @ X8 ) @ ( powerset @ X4 ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(binintersectT_lem, axiom, binintersectT_lem = 19.37/3.14 (![A:$i,X:$i]: 19.37/3.14 ( ( in @ X @ ( powerset @ A ) ) => 19.37/3.14 ( ![Y:$i]: 19.37/3.14 ( ( in @ Y @ ( powerset @ A ) ) => 19.37/3.14 ( in @ ( binintersect @ X @ Y ) @ ( powerset @ A ) ) ) ) ))). 19.37/3.14 thf('34', plain, 19.37/3.14 (( binintersectT_lem ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( in @ X6 @ ( powerset @ X4 ) ) => 19.37/3.14 ( ![X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( powerset @ X4 ) ) => 19.37/3.14 ( in @ ( binintersect @ X6 @ X8 ) @ ( powerset @ X4 ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(ubforcartprodlem3, axiom, ubforcartprodlem3 = 19.37/3.14 (![A:$i,B:$i,Xx:$i]: 19.37/3.14 ( ( in @ Xx @ A ) => 19.37/3.14 ( ![Xy:$i]: 19.37/3.14 ( ( in @ Xy @ B ) => 19.37/3.14 ( in @ 19.37/3.14 ( kpair @ Xx @ Xy ) @ 19.37/3.14 ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ))). 19.37/3.14 thf('35', plain, 19.37/3.14 (( ubforcartprodlem3 ) = 19.37/3.14 ( ![X4:$i,X6:$i,X8:$i]: 19.37/3.14 ( ( in @ X8 @ X4 ) => 19.37/3.14 ( ![X10:$i]: 19.37/3.14 ( ( in @ X10 @ X6 ) => 19.37/3.14 ( in @ 19.37/3.14 ( kpair @ X8 @ X10 ) @ 19.37/3.14 ( powerset @ ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(ubforcartprodlem2, axiom, ubforcartprodlem2 = 19.37/3.14 (![A:$i,B:$i,Xx:$i]: 19.37/3.14 ( ( in @ Xx @ A ) => 19.37/3.14 ( ![Xy:$i]: 19.37/3.14 ( ( in @ Xy @ B ) => 19.37/3.14 ( in @ 19.37/3.14 ( setadjoin @ 19.37/3.14 ( setadjoin @ Xx @ emptyset ) @ 19.37/3.14 ( setadjoin @ 19.37/3.14 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) @ 19.37/3.14 ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ))). 19.37/3.14 thf('36', plain, 19.37/3.14 (( ubforcartprodlem2 ) = 19.37/3.14 ( ![X4:$i,X6:$i,X8:$i]: 19.37/3.14 ( ( in @ X8 @ X4 ) => 19.37/3.14 ( ![X10:$i]: 19.37/3.14 ( ( in @ X10 @ X6 ) => 19.37/3.14 ( in @ 19.37/3.14 ( setadjoin @ 19.37/3.14 ( setadjoin @ X8 @ emptyset ) @ 19.37/3.14 ( setadjoin @ 19.37/3.14 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 19.37/3.14 emptyset ) ) @ 19.37/3.14 ( powerset @ ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(ubforcartprodlem1, axiom, ubforcartprodlem1 = 19.37/3.14 (![A:$i,B:$i,Xx:$i]: 19.37/3.14 ( ( in @ Xx @ A ) => 19.37/3.14 ( ![Xy:$i]: 19.37/3.14 ( ( in @ Xy @ B ) => 19.37/3.14 ( subset @ 19.37/3.14 ( setadjoin @ 19.37/3.14 ( setadjoin @ Xx @ emptyset ) @ 19.37/3.14 ( setadjoin @ 19.37/3.14 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) @ 19.37/3.14 ( powerset @ ( binunion @ A @ B ) ) ) ) ) ))). 19.37/3.14 thf('37', plain, 19.37/3.14 (( ubforcartprodlem1 ) = 19.37/3.14 ( ![X4:$i,X6:$i,X8:$i]: 19.37/3.14 ( ( in @ X8 @ X4 ) => 19.37/3.14 ( ![X10:$i]: 19.37/3.14 ( ( in @ X10 @ X6 ) => 19.37/3.14 ( subset @ 19.37/3.14 ( setadjoin @ 19.37/3.14 ( setadjoin @ X8 @ emptyset ) @ 19.37/3.14 ( setadjoin @ 19.37/3.14 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 19.37/3.14 emptyset ) ) @ 19.37/3.14 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(upairinpowunion, axiom, upairinpowunion = 19.37/3.14 (![A:$i,B:$i,Xx:$i]: 19.37/3.14 ( ( in @ Xx @ A ) => 19.37/3.14 ( ![Xy:$i]: 19.37/3.14 ( ( in @ Xy @ B ) => 19.37/3.14 ( in @ 19.37/3.14 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ 19.37/3.14 ( powerset @ ( binunion @ A @ B ) ) ) ) ) ))). 19.37/3.14 thf('38', plain, 19.37/3.14 (( upairinpowunion ) = 19.37/3.14 ( ![X4:$i,X6:$i,X8:$i]: 19.37/3.14 ( ( in @ X8 @ X4 ) => 19.37/3.14 ( ![X10:$i]: 19.37/3.14 ( ( in @ X10 @ X6 ) => 19.37/3.14 ( in @ 19.37/3.14 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 19.37/3.14 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(upairsubunion, axiom, upairsubunion = 19.37/3.14 (![A:$i,B:$i,Xx:$i]: 19.37/3.14 ( ( in @ Xx @ A ) => 19.37/3.14 ( ![Xy:$i]: 19.37/3.14 ( ( in @ Xy @ B ) => 19.37/3.14 ( subset @ 19.37/3.14 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ 19.37/3.14 ( binunion @ A @ B ) ) ) ) ))). 19.37/3.14 thf('39', plain, 19.37/3.14 (( upairsubunion ) = 19.37/3.14 ( ![X4:$i,X6:$i,X8:$i]: 19.37/3.14 ( ( in @ X8 @ X4 ) => 19.37/3.14 ( ![X10:$i]: 19.37/3.14 ( ( in @ X10 @ X6 ) => 19.37/3.14 ( subset @ 19.37/3.14 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 19.37/3.14 ( binunion @ X4 @ X6 ) ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(singletoninpowunion, axiom, singletoninpowunion = 19.37/3.14 (![A:$i,B:$i,Xx:$i]: 19.37/3.14 ( ( in @ Xx @ A ) => 19.37/3.14 ( in @ 19.37/3.14 ( setadjoin @ Xx @ emptyset ) @ ( powerset @ ( binunion @ A @ B ) ) ) ))). 19.37/3.14 thf('40', plain, 19.37/3.14 (( singletoninpowunion ) = 19.37/3.14 ( ![X4:$i,X6:$i,X8:$i]: 19.37/3.14 ( ( in @ X8 @ X4 ) => 19.37/3.14 ( in @ 19.37/3.14 ( setadjoin @ X8 @ emptyset ) @ 19.37/3.14 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(setminusSubset1, axiom, setminusSubset1 = 19.37/3.14 (![A:$i,B:$i]: 19.37/3.14 ( ( ( setminus @ A @ B ) = ( emptyset ) ) => ( subset @ A @ B ) ))). 19.37/3.14 thf('41', plain, 19.37/3.14 (( setminusSubset1 ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( ( setminus @ X4 @ X6 ) = ( emptyset ) ) => ( subset @ X4 @ X6 ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(setminusLsub, axiom, setminusLsub = 19.37/3.14 (![A:$i,B:$i]: ( subset @ ( setminus @ A @ B ) @ A ))). 19.37/3.14 thf('42', plain, 19.37/3.14 (( setminusLsub ) = 19.37/3.14 ( ![X4:$i,X6:$i]: ( subset @ ( setminus @ X4 @ X6 ) @ X4 ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(setminusIRneg, axiom, setminusIRneg = 19.37/3.14 (![A:$i,B:$i,Xx:$i]: 19.37/3.14 ( ( in @ Xx @ B ) => ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 19.37/3.14 thf('43', plain, 19.37/3.14 (( setminusIRneg ) = 19.37/3.14 ( ![X4:$i,X6:$i,X8:$i]: 19.37/3.14 ( ( in @ X8 @ X6 ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(setminusILneg, axiom, setminusILneg = 19.37/3.14 (![A:$i,B:$i,Xx:$i]: 19.37/3.14 ( ( ~( in @ Xx @ A ) ) => ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 19.37/3.14 thf('44', plain, 19.37/3.14 (( setminusILneg ) = 19.37/3.14 ( ![X4:$i,X6:$i,X8:$i]: 19.37/3.14 ( ( ~( in @ X8 @ X4 ) ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(setminusELneg, axiom, setminusELneg = 19.37/3.14 (![A:$i,B:$i,Xx:$i]: 19.37/3.14 ( ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) => 19.37/3.14 ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))). 19.37/3.14 thf('45', plain, 19.37/3.14 (( setminusELneg ) = 19.37/3.14 ( ![X4:$i,X6:$i,X8:$i]: 19.37/3.14 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => 19.37/3.14 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(setminusERneg, axiom, setminusERneg = 19.37/3.14 (![A:$i,B:$i,Xx:$i]: 19.37/3.14 ( ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) => 19.37/3.14 ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))). 19.37/3.14 thf('46', plain, 19.37/3.14 (( setminusERneg ) = 19.37/3.14 ( ![X4:$i,X6:$i,X8:$i]: 19.37/3.14 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => 19.37/3.14 ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(setminusSubset2, axiom, setminusSubset2 = 19.37/3.14 (![A:$i,B:$i]: 19.37/3.14 ( ( subset @ A @ B ) => ( ( setminus @ A @ B ) = ( emptyset ) ) ))). 19.37/3.14 thf('47', plain, 19.37/3.14 (( setminusSubset2 ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( subset @ X4 @ X6 ) => ( ( setminus @ X4 @ X6 ) = ( emptyset ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(setminusER, axiom, setminusER = 19.37/3.14 (![A:$i,B:$i,Xx:$i]: 19.37/3.14 ( ( in @ Xx @ ( setminus @ A @ B ) ) => ( ~( in @ Xx @ B ) ) ))). 19.37/3.14 thf('48', plain, 19.37/3.14 (( setminusER ) = 19.37/3.14 ( ![X4:$i,X6:$i,X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( setminus @ X4 @ X6 ) ) => ( ~( in @ X8 @ X6 ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(setminusEL, axiom, setminusEL = 19.37/3.14 (![A:$i,B:$i,Xx:$i]: 19.37/3.14 ( ( in @ Xx @ ( setminus @ A @ B ) ) => ( in @ Xx @ A ) ))). 19.37/3.14 thf('49', plain, 19.37/3.14 (( setminusEL ) = 19.37/3.14 ( ![X4:$i,X6:$i,X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( setminus @ X4 @ X6 ) ) => ( in @ X8 @ X4 ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(setminusI, axiom, setminusI = 19.37/3.14 (![A:$i,B:$i,Xx:$i]: 19.37/3.14 ( ( in @ Xx @ A ) => 19.37/3.14 ( ( ~( in @ Xx @ B ) ) => ( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 19.37/3.14 thf('50', plain, 19.37/3.14 (( setminusI ) = 19.37/3.14 ( ![X4:$i,X6:$i,X8:$i]: 19.37/3.14 ( ( in @ X8 @ X4 ) => 19.37/3.14 ( ( ~( in @ X8 @ X6 ) ) => ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(bs114d, axiom, bs114d = 19.37/3.14 (![A:$i,B:$i,C:$i]: 19.37/3.14 ( ( binintersect @ A @ ( binunion @ B @ C ) ) = 19.37/3.14 ( binunion @ ( binintersect @ A @ B ) @ ( binintersect @ A @ C ) ) ))). 19.37/3.14 thf('51', plain, 19.37/3.14 (( bs114d ) = 19.37/3.14 ( ![X4:$i,X6:$i,X8:$i]: 19.37/3.14 ( ( binintersect @ X4 @ ( binunion @ X6 @ X8 ) ) = 19.37/3.14 ( binunion @ ( binintersect @ X4 @ X6 ) @ ( binintersect @ X4 @ X8 ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(binintersectSubset1, axiom, binintersectSubset1 = 19.37/3.14 (![A:$i,B:$i]: 19.37/3.14 ( ( ( binintersect @ A @ B ) = ( A ) ) => ( subset @ A @ B ) ))). 19.37/3.14 thf('52', plain, 19.37/3.14 (( binintersectSubset1 ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( ( binintersect @ X4 @ X6 ) = ( X4 ) ) => ( subset @ X4 @ X6 ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(binintersectSubset4, axiom, binintersectSubset4 = 19.37/3.14 (![A:$i,B:$i]: 19.37/3.14 ( ( subset @ B @ A ) => ( ( binintersect @ A @ B ) = ( B ) ) ))). 19.37/3.14 thf('53', plain, 19.37/3.14 (( binintersectSubset4 ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( subset @ X6 @ X4 ) => ( ( binintersect @ X4 @ X6 ) = ( X6 ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(binintersectRsub, axiom, binintersectRsub = 19.37/3.14 (![A:$i,B:$i]: ( subset @ ( binintersect @ A @ B ) @ B ))). 19.37/3.14 thf('54', plain, 19.37/3.14 (( binintersectRsub ) = 19.37/3.14 ( ![X4:$i,X6:$i]: ( subset @ ( binintersect @ X4 @ X6 ) @ X6 ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(disjointsetsI1, axiom, disjointsetsI1 = 19.37/3.14 (![A:$i,B:$i]: 19.37/3.14 ( ( ~( ?[Xx:$i]: ( ( in @ Xx @ B ) & ( in @ Xx @ A ) ) ) ) => 19.37/3.14 ( ( binintersect @ A @ B ) = ( emptyset ) ) ))). 19.37/3.14 thf('55', plain, 19.37/3.14 (( disjointsetsI1 ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( ~( ?[X8:$i]: ( ( in @ X8 @ X6 ) & ( in @ X8 @ X4 ) ) ) ) => 19.37/3.14 ( ( binintersect @ X4 @ X6 ) = ( emptyset ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(binintersectER, axiom, binintersectER = 19.37/3.14 (![A:$i,B:$i,Xx:$i]: 19.37/3.14 ( ( in @ Xx @ ( binintersect @ A @ B ) ) => ( in @ Xx @ B ) ))). 19.37/3.14 thf('56', plain, 19.37/3.14 (( binintersectER ) = 19.37/3.14 ( ![X4:$i,X6:$i,X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) => ( in @ X8 @ X6 ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(binintersectSubset3, axiom, binintersectSubset3 = 19.37/3.14 (![A:$i,B:$i]: 19.37/3.14 ( ( ( binintersect @ A @ B ) = ( B ) ) => ( subset @ B @ A ) ))). 19.37/3.14 thf('57', plain, 19.37/3.14 (( binintersectSubset3 ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( ( binintersect @ X4 @ X6 ) = ( X6 ) ) => ( subset @ X6 @ X4 ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(binintersectSubset2, axiom, binintersectSubset2 = 19.37/3.14 (![A:$i,B:$i]: 19.37/3.14 ( ( subset @ A @ B ) => ( ( binintersect @ A @ B ) = ( A ) ) ))). 19.37/3.14 thf('58', plain, 19.37/3.14 (( binintersectSubset2 ) = 19.37/3.14 ( ![X4:$i,X6:$i]: 19.37/3.14 ( ( subset @ X4 @ X6 ) => ( ( binintersect @ X4 @ X6 ) = ( X4 ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(binintersectLsub, axiom, binintersectLsub = 19.37/3.14 (![A:$i,B:$i]: ( subset @ ( binintersect @ A @ B ) @ A ))). 19.37/3.14 thf('59', plain, 19.37/3.14 (( binintersectLsub ) = 19.37/3.14 ( ![X4:$i,X6:$i]: ( subset @ ( binintersect @ X4 @ X6 ) @ X4 ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(binintersectEL, axiom, binintersectEL = 19.37/3.14 (![A:$i,B:$i,Xx:$i]: 19.37/3.14 ( ( in @ Xx @ ( binintersect @ A @ B ) ) => ( in @ Xx @ A ) ))). 19.37/3.14 thf('60', plain, 19.37/3.14 (( binintersectEL ) = 19.37/3.14 ( ![X4:$i,X6:$i,X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) => ( in @ X8 @ X4 ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(binintersectSubset5, axiom, binintersectSubset5 = 19.37/3.14 (![A:$i,B:$i,C:$i]: 19.37/3.14 ( ( subset @ C @ A ) => 19.37/3.14 ( ( subset @ C @ B ) => ( subset @ C @ ( binintersect @ A @ B ) ) ) ))). 19.37/3.14 thf('61', plain, 19.37/3.14 (( binintersectSubset5 ) = 19.37/3.14 ( ![X4:$i,X6:$i,X8:$i]: 19.37/3.14 ( ( subset @ X8 @ X4 ) => 19.37/3.14 ( ( subset @ X8 @ X6 ) => 19.37/3.14 ( subset @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(binintersectI, axiom, binintersectI = 19.37/3.14 (![A:$i,B:$i,Xx:$i]: 19.37/3.14 ( ( in @ Xx @ A ) => 19.37/3.14 ( ( in @ Xx @ B ) => ( in @ Xx @ ( binintersect @ A @ B ) ) ) ))). 19.37/3.14 thf('62', plain, 19.37/3.14 (( binintersectI ) = 19.37/3.14 ( ![X4:$i,X6:$i,X8:$i]: 19.37/3.14 ( ( in @ X8 @ X4 ) => 19.37/3.14 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(binunionRsub, axiom, binunionRsub = 19.37/3.14 (![A:$i,B:$i]: ( subset @ B @ ( binunion @ A @ B ) ))). 19.37/3.14 thf('63', plain, 19.37/3.14 (( binunionRsub ) = 19.37/3.14 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( binunion @ X4 @ X6 ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(binunionLsub, axiom, binunionLsub = 19.37/3.14 (![A:$i,B:$i]: ( subset @ A @ ( binunion @ A @ B ) ))). 19.37/3.14 thf('64', plain, 19.37/3.14 (( binunionLsub ) = 19.37/3.14 ( ![X4:$i,X6:$i]: ( subset @ X4 @ ( binunion @ X4 @ X6 ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(binunionE, axiom, binunionE = 19.37/3.14 (![A:$i,B:$i,Xx:$i]: 19.37/3.14 ( ( in @ Xx @ ( binunion @ A @ B ) ) => 19.37/3.14 ( ( in @ Xx @ A ) | ( in @ Xx @ B ) ) ))). 19.37/3.14 thf('65', plain, 19.37/3.14 (( binunionE ) = 19.37/3.14 ( ![X4:$i,X6:$i,X8:$i]: 19.37/3.14 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) => 19.37/3.14 ( ( in @ X8 @ X4 ) | ( in @ X8 @ X6 ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(binunionEcases, axiom, binunionEcases = 19.37/3.14 (![A:$i,B:$i,Xx:$i,Xphi:$o]: 19.37/3.14 ( ( in @ Xx @ ( binunion @ A @ B ) ) => 19.37/3.14 ( ( ( in @ Xx @ A ) => ( Xphi ) ) => 19.37/3.14 ( ( ( in @ Xx @ B ) => ( Xphi ) ) => ( Xphi ) ) ) ))). 19.37/3.14 thf('66', plain, 19.37/3.14 (( binunionEcases ) = 19.37/3.14 ( ![X4:$i,X6:$i,X8:$i,X10:$o]: 19.37/3.14 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) => 19.37/3.14 ( ( ( in @ X8 @ X4 ) => ( X10 ) ) => 19.37/3.14 ( ( ( in @ X8 @ X6 ) => ( X10 ) ) => ( X10 ) ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(binunionIR, axiom, binunionIR = 19.37/3.14 (![A:$i,B:$i,Xx:$i]: 19.37/3.14 ( ( in @ Xx @ B ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))). 19.37/3.14 thf('67', plain, 19.37/3.14 (( binunionIR ) = 19.37/3.14 ( ![X4:$i,X6:$i,X8:$i]: 19.37/3.14 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(binunionIL, axiom, binunionIL = 19.37/3.14 (![A:$i,B:$i,Xx:$i]: 19.37/3.14 ( ( in @ Xx @ A ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))). 19.37/3.14 thf('68', plain, 19.37/3.14 (( binunionIL ) = 19.37/3.14 ( ![X4:$i,X6:$i,X8:$i]: 19.37/3.14 ( ( in @ X8 @ X4 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )), 19.37/3.14 define([status(thm)])). 19.37/3.14 thf(demorgan1a, conjecture, 19.37/3.14 (( setextAx ) => 19.37/3.14 ( ( emptysetAx ) => 19.37/3.14 ( ( setadjoinAx ) => 19.37/3.14 ( ( powersetAx ) => 19.37/3.14 ( ( setunionAx ) => 19.37/3.14 ( ( omega0Ax ) => 19.37/3.14 ( ( omegaSAx ) => 19.37/3.14 ( ( omegaIndAx ) => 19.37/3.14 ( ( replAx ) => 19.37/3.14 ( ( foundationAx ) => 19.37/3.14 ( ( wellorderingAx ) => 19.37/3.14 ( ( descrp ) => 19.37/3.14 ( ( dsetconstrI ) => 19.37/3.14 ( ( dsetconstrEL ) => 19.37/3.14 ( ( dsetconstrER ) => 19.37/3.14 ( ( exuE1 ) => 19.37/3.14 ( ( prop2setE ) => 19.37/3.14 ( ( emptysetE ) => 19.37/3.14 ( ( emptysetimpfalse ) => 19.37/3.14 ( ( notinemptyset ) => 19.37/3.14 ( ( exuE3e ) => 19.37/3.14 ( ( setext ) => 19.37/3.14 ( ( emptyI ) => 19.37/3.14 ( ( noeltsimpempty ) => 19.37/3.14 ( ( setbeta ) => 19.37/3.14 ( ( nonemptyE1 ) => 19.37/3.14 ( ( nonemptyI ) => 19.37/3.14 ( ( nonemptyI1 ) => 19.37/3.14 ( ( setadjoinIL ) => 19.37/3.14 ( ( emptyinunitempty ) => 19.37/3.14 ( ( setadjoinIR ) => 19.37/3.14 ( ( setadjoinE ) => 19.37/3.14 ( ( 19.37/3.14 setadjoinOr ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setoftrueEq ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 powersetI ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 emptyinPowerset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 emptyInPowerset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 powersetE ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setunionI ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setunionE ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subPowSU ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 exuE2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 nonemptyImpWitness ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 uniqinunit ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 notinsingleton ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 eqinunit ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 singletonsswitch ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 upairsetE ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 upairsetIL ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 upairsetIR ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 emptyE1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 vacuousDall ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 quantDeMorgan1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 quantDeMorgan2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 quantDeMorgan3 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 quantDeMorgan4 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 prop2setI ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 prop2set2propI ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 notdexE ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 notdallE ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 exuI1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 exuI3 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 exuI2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 inCongP ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in__Cong ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 exuE3u ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 exu__Cong ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 emptyset__Cong ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setadjoin__Cong ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 powerset__Cong ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setunion__Cong ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 omega__Cong ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 exuEu ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 descr__Cong ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 dsetconstr__Cong ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subsetI1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 eqimpsubset2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 eqimpsubset1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subsetI2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 emptysetsubset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subsetE ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subsetE2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 notsubsetI ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 notequalI1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 notequalI2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subsetRefl ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subsetTrans ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setadjoinSub ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setadjoinSub2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subset2powerset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setextsub ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subsetemptysetimpeq ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 powersetI1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 powersetE1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 inPowerset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 powersetsubset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 sepInPowerset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 sepSubset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binunionIL ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 upairset2IR ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binunionIR ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binunionEcases ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binunionE ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binunionLsub ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binunionRsub ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binintersectI ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binintersectSubset5 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binintersectEL ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binintersectLsub ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binintersectSubset2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binintersectSubset3 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binintersectER ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 disjointsetsI1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binintersectRsub ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binintersectSubset4 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binintersectSubset1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 bs114d ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setminusI ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setminusEL ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setminusER ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setminusSubset2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setminusERneg ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setminusELneg ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setminusILneg ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setminusIRneg ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setminusLsub ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setminusSubset1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 symdiffE ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 symdiffI1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 symdiffI2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 symdiffIneg1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 symdiffIneg2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 secondinupair ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setukpairIL ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setukpairIR ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 kpairiskpair ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 kpairp ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 singletonsubset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 singletoninpowerset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 singletoninpowunion ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 upairset2E ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 upairsubunion ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 upairinpowunion ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ubforcartprodlem1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ubforcartprodlem2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ubforcartprodlem3 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 cartprodpairin ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 cartprodmempair1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 cartprodmempair ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setunionE2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setunionsingleton1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setunionsingleton2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setunionsingleton ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 singletonprop ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ex1E1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ex1I ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ex1I2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 singletonsuniq ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setukpairinjL1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 kfstsingleton ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 theprop ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 kfstpairEq ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 cartprodfstin ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setukpairinjL2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setukpairinjL ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setukpairinjR11 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setukpairinjR12 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setukpairinjR1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 upairequniteq ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setukpairinjR2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setukpairinjR ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ksndsingleton ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ksndpairEq ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 kpairsurjEq ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 cartprodsndin ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 cartprodpairmemEL ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 cartprodpairmemER ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 cartprodmempaircEq ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 cartprodfstpairEq ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 cartprodsndpairEq ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 cartprodpairsurjEq ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 dpsetconstrI ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 dpsetconstrSub ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setOfPairsIsBReln ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 dpsetconstrERa ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 dpsetconstrEL1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 dpsetconstrEL2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 dpsetconstrER ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 funcImageSingleton ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 apProp ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 app ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 infuncsetfunc ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ap2p ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 funcinfuncset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 lamProp ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 lamp ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 lam2p ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 brelnall1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 brelnall2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ex1E2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 funcGraphProp1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 funcGraphProp3 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 funcGraphProp2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 funcextLem ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 funcGraphProp4 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subbreln ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 eqbreln ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 funcext ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 funcext2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ap2apEq1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ap2apEq2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 beta1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 eta1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 lam2lamEq ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 beta2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 eta2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 iffalseProp1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 iffalseProp2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 iftrueProp1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 iftrueProp2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ifSingleton ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ifp ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 theeq ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 iftrue ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 iffalse ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 iftrueorfalse ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binintersectT_lem ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binunionT_lem ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 powersetT_lem ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setminusT_lem ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 complementT_lem ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setextT ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subsetTI ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 powersetTI1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 powersetTE1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 complementTI1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 complementTE1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binintersectTELcontra ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binintersectTERcontra ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 contrasubsetT ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 contrasubsetT1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 contrasubsetT2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 contrasubsetT3 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 doubleComplementI1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 doubleComplementE1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 doubleComplementSub1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 doubleComplementSub2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 doubleComplementEq ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 complementTnotintersectT ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 complementImpComplementIntersect ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 complementSubsetComplementIntersect ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 complementInPowersetComplementIntersect ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 contraSubsetComplement ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 complementTcontraSubset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binunionTILcontra ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binunionTIRcontra ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 inIntersectImpInUnion ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 inIntersectImpInUnion2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 inIntersectImpInIntersectUnions ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 intersectInPowersetIntersectUnions ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 inComplementUnionImpNotIn1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 inComplementUnionImpInComplement1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binunionTE ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binunionTEcontra ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 demorgan2a1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 complementUnionInPowersetComplement ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 demorgan2a2 ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 A:$i,X:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 A ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 Y:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 Y @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 A ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 Xx:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 Xx @ A ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 Xx @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 A @ 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X @ Y ) ) ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 Xx @ 19.37/3.14 ( 19.37/3.14 binunion @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 A @ X ) @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 A @ Y ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 19.37/3.14 thf(zf_stmt_0, conjecture, 19.37/3.14 (( setextAx ) => 19.37/3.14 ( ( emptysetAx ) => 19.37/3.14 ( ( setadjoinAx ) => 19.37/3.14 ( ( powersetAx ) => 19.37/3.14 ( ( setunionAx ) => 19.37/3.14 ( ( omega0Ax ) => 19.37/3.14 ( ( omegaSAx ) => 19.37/3.14 ( ( omegaIndAx ) => 19.37/3.14 ( ( replAx ) => 19.37/3.14 ( ( foundationAx ) => 19.37/3.14 ( ( wellorderingAx ) => 19.37/3.14 ( ( descrp ) => 19.37/3.14 ( ( dsetconstrI ) => 19.37/3.14 ( ( dsetconstrEL ) => 19.37/3.14 ( ( dsetconstrER ) => 19.37/3.14 ( ( exuE1 ) => 19.37/3.14 ( ( prop2setE ) => 19.37/3.14 ( ( emptysetE ) => 19.37/3.14 ( ( emptysetimpfalse ) => 19.37/3.14 ( ( notinemptyset ) => 19.37/3.14 ( ( exuE3e ) => 19.37/3.14 ( ( setext ) => 19.37/3.14 ( ( emptyI ) => 19.37/3.14 ( ( noeltsimpempty ) => 19.37/3.14 ( ( setbeta ) => 19.37/3.14 ( ( nonemptyE1 ) => 19.37/3.14 ( ( nonemptyI ) => 19.37/3.14 ( ( nonemptyI1 ) => 19.37/3.14 ( ( setadjoinIL ) => 19.37/3.14 ( ( emptyinunitempty ) => 19.37/3.14 ( ( setadjoinIR ) => 19.37/3.14 ( ( setadjoinE ) => 19.37/3.14 ( ( 19.37/3.14 setadjoinOr ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setoftrueEq ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 powersetI ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 emptyinPowerset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 emptyInPowerset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 powersetE ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setunionI ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setunionE ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subPowSU ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 exuE2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 nonemptyImpWitness ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 uniqinunit ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 notinsingleton ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 eqinunit ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 singletonsswitch ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 upairsetE ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 upairsetIL ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 upairsetIR ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 emptyE1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 vacuousDall ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 quantDeMorgan1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 quantDeMorgan2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 quantDeMorgan3 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 quantDeMorgan4 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 prop2setI ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 prop2set2propI ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 notdexE ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 notdallE ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 exuI1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 exuI3 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 exuI2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 inCongP ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in__Cong ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 exuE3u ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 exu__Cong ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 emptyset__Cong ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setadjoin__Cong ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 powerset__Cong ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setunion__Cong ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 omega__Cong ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 exuEu ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 descr__Cong ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 dsetconstr__Cong ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subsetI1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 eqimpsubset2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 eqimpsubset1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subsetI2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 emptysetsubset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subsetE ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subsetE2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 notsubsetI ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 notequalI1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 notequalI2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subsetRefl ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subsetTrans ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setadjoinSub ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setadjoinSub2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subset2powerset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setextsub ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subsetemptysetimpeq ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 powersetI1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 powersetE1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 inPowerset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 powersetsubset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 sepInPowerset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 sepSubset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X4:$i, 19.37/3.14 X6:$i, 19.37/3.14 X8:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X8 @ X4 ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X8 @ 19.37/3.14 ( 19.37/3.14 binunion @ 19.37/3.14 X4 @ X6 ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 upairset2IR ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X10:$i, 19.37/3.14 X12:$i, 19.37/3.14 X14:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X14 @ X12 ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X14 @ 19.37/3.14 ( 19.37/3.14 binunion @ 19.37/3.14 X10 @ X12 ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X16:$i, 19.37/3.14 X18:$i, 19.37/3.14 X20:$i, 19.37/3.14 X22:$o]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X20 @ 19.37/3.14 ( 19.37/3.14 binunion @ 19.37/3.14 X16 @ X18 ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X20 @ X16 ) => 19.37/3.14 ( 19.37/3.14 X22 ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X20 @ X18 ) => 19.37/3.14 ( 19.37/3.14 X22 ) ) => 19.37/3.14 ( 19.37/3.14 X22 ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X24:$i, 19.37/3.14 X26:$i, 19.37/3.14 X28:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X28 @ 19.37/3.14 ( 19.37/3.14 binunion @ 19.37/3.14 X24 @ X26 ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X28 @ X24 ) | 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X28 @ X26 ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X30:$i, 19.37/3.14 X32:$i]: 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 X30 @ 19.37/3.14 ( 19.37/3.14 binunion @ 19.37/3.14 X30 @ X32 ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X34:$i, 19.37/3.14 X36:$i]: 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 X36 @ 19.37/3.14 ( 19.37/3.14 binunion @ 19.37/3.14 X34 @ X36 ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X38:$i, 19.37/3.14 X40:$i, 19.37/3.14 X42:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X42 @ X38 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X42 @ X40 ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X42 @ 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X38 @ X40 ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X44:$i, 19.37/3.14 X46:$i, 19.37/3.14 X48:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 X48 @ X44 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 X48 @ X46 ) => 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 X48 @ 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X44 @ X46 ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X50:$i, 19.37/3.14 X52:$i, 19.37/3.14 X54:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X54 @ 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X50 @ X52 ) ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X54 @ X50 ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X56:$i, 19.37/3.14 X58:$i]: 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X56 @ X58 ) @ 19.37/3.14 X56 ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X60:$i, 19.37/3.14 X62:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 X60 @ X62 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X60 @ X62 ) = 19.37/3.14 ( 19.37/3.14 X60 ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X64:$i, 19.37/3.14 X66:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X64 @ X66 ) = 19.37/3.14 ( 19.37/3.14 X66 ) ) => 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 X66 @ X64 ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X68:$i, 19.37/3.14 X70:$i, 19.37/3.14 X72:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X72 @ 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X68 @ X70 ) ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X72 @ X70 ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X74:$i, 19.37/3.14 X76:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ~( 19.37/3.14 ?[ 19.37/3.14 X78:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X78 @ X76 ) & 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X78 @ X74 ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X74 @ X76 ) = 19.37/3.14 ( 19.37/3.14 emptyset ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X80:$i, 19.37/3.14 X82:$i]: 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X80 @ X82 ) @ 19.37/3.14 X82 ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X84:$i, 19.37/3.14 X86:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 X86 @ X84 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X84 @ X86 ) = 19.37/3.14 ( 19.37/3.14 X86 ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X88:$i, 19.37/3.14 X90:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X88 @ X90 ) = 19.37/3.14 ( 19.37/3.14 X88 ) ) => 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 X88 @ X90 ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X92:$i, 19.37/3.14 X94:$i, 19.37/3.14 X96:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X92 @ 19.37/3.14 ( 19.37/3.14 binunion @ 19.37/3.14 X94 @ X96 ) ) = 19.37/3.14 ( 19.37/3.14 binunion @ 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X92 @ X94 ) @ 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X92 @ X96 ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X98:$i, 19.37/3.14 X100:$i, 19.37/3.14 X102:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X102 @ X98 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ~( 19.37/3.14 in @ 19.37/3.14 X102 @ 19.37/3.14 X100 ) ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X102 @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X98 @ X100 ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X104:$i, 19.37/3.14 X106:$i, 19.37/3.14 X108:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X108 @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X104 @ 19.37/3.14 X106 ) ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X108 @ 19.37/3.14 X104 ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X110:$i, 19.37/3.14 X112:$i, 19.37/3.14 X114:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X114 @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X110 @ 19.37/3.14 X112 ) ) => 19.37/3.14 ( 19.37/3.14 ~( 19.37/3.14 in @ 19.37/3.14 X114 @ 19.37/3.14 X112 ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X116:$i, 19.37/3.14 X118:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 X116 @ 19.37/3.14 X118 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X116 @ 19.37/3.14 X118 ) = 19.37/3.14 ( 19.37/3.14 emptyset ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X120:$i, 19.37/3.14 X122:$i, 19.37/3.14 X124:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ~( 19.37/3.14 in @ 19.37/3.14 X124 @ 19.37/3.14 ( 19.37/3.14 setminus 19.37/3.14 @ 19.37/3.14 X120 @ 19.37/3.14 X122 ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X124 @ 19.37/3.14 X120 ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X124 @ 19.37/3.14 X122 ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X126:$i, 19.37/3.14 X128:$i, 19.37/3.14 X130:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ~( 19.37/3.14 in @ 19.37/3.14 X130 @ 19.37/3.14 ( 19.37/3.14 setminus 19.37/3.14 @ 19.37/3.14 X126 @ 19.37/3.14 X128 ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ~( 19.37/3.14 in @ 19.37/3.14 X130 @ 19.37/3.14 X128 ) ) => 19.37/3.14 ( 19.37/3.14 ~( 19.37/3.14 in @ 19.37/3.14 X130 @ 19.37/3.14 X126 ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X132:$i, 19.37/3.14 X134:$i, 19.37/3.14 X136:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ~( 19.37/3.14 in @ 19.37/3.14 X136 @ 19.37/3.14 X132 ) ) => 19.37/3.14 ( 19.37/3.14 ~( 19.37/3.14 in @ 19.37/3.14 X136 @ 19.37/3.14 ( 19.37/3.14 setminus 19.37/3.14 @ 19.37/3.14 X132 @ 19.37/3.14 X134 ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X138:$i, 19.37/3.14 X140:$i, 19.37/3.14 X142:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X142 @ 19.37/3.14 X140 ) => 19.37/3.14 ( 19.37/3.14 ~( 19.37/3.14 in @ 19.37/3.14 X142 @ 19.37/3.14 ( 19.37/3.14 setminus 19.37/3.14 @ 19.37/3.14 X138 @ 19.37/3.14 X140 ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X144:$i, 19.37/3.14 X146:$i]: 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X144 @ 19.37/3.14 X146 ) @ 19.37/3.14 X144 ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X148:$i, 19.37/3.14 X150:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X148 @ 19.37/3.14 X150 ) = 19.37/3.14 ( 19.37/3.14 emptyset ) ) => 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 X148 @ 19.37/3.14 X150 ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 symdiffE ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 symdiffI1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 symdiffI2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 symdiffIneg1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 symdiffIneg2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 secondinupair ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setukpairIL ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setukpairIR ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 kpairiskpair ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 kpairp ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 singletonsubset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 singletoninpowerset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X152:$i, 19.37/3.14 X154:$i, 19.37/3.14 X156:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X156 @ 19.37/3.14 X152 ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 ( 19.37/3.14 setadjoin 19.37/3.14 @ 19.37/3.14 X156 @ 19.37/3.14 emptyset ) @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 ( 19.37/3.14 binunion @ 19.37/3.14 X152 @ 19.37/3.14 X154 ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 upairset2E ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X158:$i, 19.37/3.14 X160:$i, 19.37/3.14 X162:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X162 @ 19.37/3.14 X158 ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X164:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X164 @ 19.37/3.14 X160 ) => 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 ( 19.37/3.14 setadjoin 19.37/3.14 @ 19.37/3.14 X162 @ 19.37/3.14 ( 19.37/3.14 setadjoin 19.37/3.14 @ 19.37/3.14 X164 @ 19.37/3.14 emptyset ) ) @ 19.37/3.14 ( 19.37/3.14 binunion @ 19.37/3.14 X158 @ 19.37/3.14 X160 ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X166:$i, 19.37/3.14 X168:$i, 19.37/3.14 X170:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X170 @ 19.37/3.14 X166 ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X172:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X172 @ 19.37/3.14 X168 ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 ( 19.37/3.14 setadjoin 19.37/3.14 @ 19.37/3.14 X170 @ 19.37/3.14 ( 19.37/3.14 setadjoin 19.37/3.14 @ 19.37/3.14 X172 @ 19.37/3.14 emptyset ) ) @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 ( 19.37/3.14 binunion @ 19.37/3.14 X166 @ 19.37/3.14 X168 ) ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X174:$i, 19.37/3.14 X176:$i, 19.37/3.14 X178:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X178 @ 19.37/3.14 X174 ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X180:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X180 @ 19.37/3.14 X176 ) => 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 ( 19.37/3.14 setadjoin 19.37/3.14 @ 19.37/3.14 ( 19.37/3.14 setadjoin 19.37/3.14 @ 19.37/3.14 X178 @ 19.37/3.14 emptyset ) @ 19.37/3.14 ( 19.37/3.14 setadjoin 19.37/3.14 @ 19.37/3.14 ( 19.37/3.14 setadjoin 19.37/3.14 @ 19.37/3.14 X178 @ 19.37/3.14 ( 19.37/3.14 setadjoin 19.37/3.14 @ 19.37/3.14 X180 @ 19.37/3.14 emptyset ) ) @ 19.37/3.14 emptyset ) ) @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 ( 19.37/3.14 binunion @ 19.37/3.14 X174 @ 19.37/3.14 X176 ) ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X182:$i, 19.37/3.14 X184:$i, 19.37/3.14 X186:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X186 @ 19.37/3.14 X182 ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X188:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X188 @ 19.37/3.14 X184 ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 ( 19.37/3.14 setadjoin 19.37/3.14 @ 19.37/3.14 ( 19.37/3.14 setadjoin 19.37/3.14 @ 19.37/3.14 X186 @ 19.37/3.14 emptyset ) @ 19.37/3.14 ( 19.37/3.14 setadjoin 19.37/3.14 @ 19.37/3.14 ( 19.37/3.14 setadjoin 19.37/3.14 @ 19.37/3.14 X186 @ 19.37/3.14 ( 19.37/3.14 setadjoin 19.37/3.14 @ 19.37/3.14 X188 @ 19.37/3.14 emptyset ) ) @ 19.37/3.14 emptyset ) ) @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 ( 19.37/3.14 binunion @ 19.37/3.14 X182 @ 19.37/3.14 X184 ) ) ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X190:$i, 19.37/3.14 X192:$i, 19.37/3.14 X194:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X194 @ 19.37/3.14 X190 ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X196:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X196 @ 19.37/3.14 X192 ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 ( 19.37/3.14 kpair @ 19.37/3.14 X194 @ 19.37/3.14 X196 ) @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 ( 19.37/3.14 binunion @ 19.37/3.14 X190 @ 19.37/3.14 X192 ) ) ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 cartprodpairin ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 cartprodmempair1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 cartprodmempair ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setunionE2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setunionsingleton1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setunionsingleton2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setunionsingleton ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 singletonprop ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ex1E1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ex1I ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ex1I2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 singletonsuniq ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setukpairinjL1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 kfstsingleton ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 theprop ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 kfstpairEq ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 cartprodfstin ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setukpairinjL2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setukpairinjL ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setukpairinjR11 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setukpairinjR12 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setukpairinjR1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 upairequniteq ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setukpairinjR2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setukpairinjR ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ksndsingleton ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ksndpairEq ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 kpairsurjEq ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 cartprodsndin ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 cartprodpairmemEL ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 cartprodpairmemER ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 cartprodmempaircEq ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 cartprodfstpairEq ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 cartprodsndpairEq ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 cartprodpairsurjEq ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 dpsetconstrI ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 dpsetconstrSub ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setOfPairsIsBReln ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 dpsetconstrERa ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 dpsetconstrEL1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 dpsetconstrEL2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 dpsetconstrER ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 funcImageSingleton ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 apProp ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 app ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 infuncsetfunc ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ap2p ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 funcinfuncset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 lamProp ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 lamp ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 lam2p ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 brelnall1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 brelnall2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ex1E2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 funcGraphProp1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 funcGraphProp3 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 funcGraphProp2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 funcextLem ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 funcGraphProp4 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subbreln ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 eqbreln ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 funcext ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 funcext2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ap2apEq1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ap2apEq2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 beta1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 eta1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 lam2lamEq ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 beta2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 eta2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 iffalseProp1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 iffalseProp2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 iftrueProp1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 iftrueProp2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ifSingleton ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ifp ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 theeq ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 iftrue ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 iffalse ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 iftrueorfalse ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X198:$i, 19.37/3.14 X200:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X200 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X198 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X202:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X202 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X198 ) ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X200 @ 19.37/3.14 X202 ) @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X198 ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X204:$i, 19.37/3.14 X206:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X206 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X204 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X208:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X208 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X204 ) ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 ( 19.37/3.14 binunion @ 19.37/3.14 X206 @ 19.37/3.14 X208 ) @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X204 ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 powersetT_lem ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X210:$i, 19.37/3.14 X212:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X212 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X210 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X214:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X214 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X210 ) ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X212 @ 19.37/3.14 X214 ) @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X210 ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X216:$i, 19.37/3.14 X218:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X218 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X216 ) ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X216 @ 19.37/3.14 X218 ) @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X216 ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setextT ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subsetTI ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 powersetTI1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 powersetTE1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X220:$i, 19.37/3.14 X222:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X222 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X220 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X224:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X224 @ 19.37/3.14 X220 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X224 @ 19.37/3.14 X222 ) => 19.37/3.14 ( 19.37/3.14 ~( 19.37/3.14 in @ 19.37/3.14 X224 @ 19.37/3.14 ( 19.37/3.14 setminus 19.37/3.14 @ 19.37/3.14 X220 @ 19.37/3.14 X222 ) ) ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X226:$i, 19.37/3.14 X228:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X228 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X226 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X230:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X230 @ 19.37/3.14 X226 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ~( 19.37/3.14 in @ 19.37/3.14 X230 @ 19.37/3.14 ( 19.37/3.14 setminus 19.37/3.14 @ 19.37/3.14 X226 @ 19.37/3.14 X228 ) ) ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X230 @ 19.37/3.14 X228 ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X232:$i, 19.37/3.14 X234:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X234 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X232 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X236:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X236 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X232 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X238:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X238 @ 19.37/3.14 X232 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ~( 19.37/3.14 in @ 19.37/3.14 X238 @ 19.37/3.14 X234 ) ) => 19.37/3.14 ( 19.37/3.14 ~( 19.37/3.14 in @ 19.37/3.14 X238 @ 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X234 @ 19.37/3.14 X236 ) ) ) ) ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X240:$i, 19.37/3.14 X242:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X242 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X240 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X244:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X244 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X240 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X246:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X246 @ 19.37/3.14 X240 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ~( 19.37/3.14 in @ 19.37/3.14 X246 @ 19.37/3.14 X244 ) ) => 19.37/3.14 ( 19.37/3.14 ~( 19.37/3.14 in @ 19.37/3.14 X246 @ 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X242 @ 19.37/3.14 X244 ) ) ) ) ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X248:$i, 19.37/3.14 X250:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X250 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X248 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X252:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X252 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X248 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X254:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X254 @ 19.37/3.14 X248 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 X250 @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X248 @ 19.37/3.14 X252 ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X254 @ 19.37/3.14 X252 ) => 19.37/3.14 ( 19.37/3.14 ~( 19.37/3.14 in @ 19.37/3.14 X254 @ 19.37/3.14 X250 ) ) ) ) ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 contrasubsetT1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X256:$i, 19.37/3.14 X258:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X258 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X256 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X260:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X260 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X256 ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 X258 @ 19.37/3.14 X260 ) => 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X256 @ 19.37/3.14 X260 ) @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X256 @ 19.37/3.14 X258 ) ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X262:$i, 19.37/3.14 X264:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X264 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X262 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X266:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X266 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X262 ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X262 @ 19.37/3.14 X266 ) @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X262 @ 19.37/3.14 X264 ) ) => 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 X264 @ 19.37/3.14 X266 ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X268:$i, 19.37/3.14 X270:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X270 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X268 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X272:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X272 @ 19.37/3.14 X268 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X272 @ 19.37/3.14 X270 ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X272 @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X268 @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X268 @ 19.37/3.14 X270 ) ) ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X274:$i, 19.37/3.14 X276:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X276 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X274 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X278:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X278 @ 19.37/3.14 X274 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X278 @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X274 @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X274 @ 19.37/3.14 X276 ) ) ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X278 @ 19.37/3.14 X276 ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X280:$i, 19.37/3.14 X282:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X282 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X280 ) ) => 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 X282 @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X280 @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X280 @ 19.37/3.14 X282 ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X284:$i, 19.37/3.14 X286:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X286 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X284 ) ) => 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X284 @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X284 @ 19.37/3.14 X286 ) ) @ 19.37/3.14 X286 ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X288:$i, 19.37/3.14 X290:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X290 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X288 ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 X290 ) = 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X288 @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X288 @ 19.37/3.14 X290 ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X292:$i, 19.37/3.14 X294:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X294 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X292 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X296:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X296 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X292 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X298:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X298 @ 19.37/3.14 X292 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X298 @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X292 @ 19.37/3.14 X294 ) ) => 19.37/3.14 ( 19.37/3.14 ~( 19.37/3.14 in @ 19.37/3.14 X298 @ 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X294 @ 19.37/3.14 X296 ) ) ) ) ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X300:$i, 19.37/3.14 X302:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X302 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X300 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X304:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X304 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X300 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X306:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X306 @ 19.37/3.14 X300 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X306 @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X300 @ 19.37/3.14 X302 ) ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X306 @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X300 @ 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X302 @ 19.37/3.14 X304 ) ) ) ) ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X308:$i, 19.37/3.14 X310:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X310 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X308 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X312:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X312 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X308 ) ) => 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X308 @ 19.37/3.14 X310 ) @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X308 @ 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X310 @ 19.37/3.14 X312 ) ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X314:$i, 19.37/3.14 X316:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X316 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X314 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X318:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X318 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X314 ) ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X314 @ 19.37/3.14 X316 ) @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X314 @ 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X316 @ 19.37/3.14 X318 ) ) ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X320:$i, 19.37/3.14 X322:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X322 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X320 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X324:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X324 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X320 ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 X322 @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X320 @ 19.37/3.14 X324 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X326:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X326 @ 19.37/3.14 X320 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X326 @ 19.37/3.14 X324 ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X326 @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X320 @ 19.37/3.14 X322 ) ) ) ) ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X328:$i, 19.37/3.14 X330:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X330 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X328 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X332:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X332 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X328 ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 X330 @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X328 @ 19.37/3.14 X332 ) ) => 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 X332 @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X328 @ 19.37/3.14 X330 ) ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X334:$i, 19.37/3.14 X336:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X336 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X334 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X338:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X338 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X334 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X340:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X340 @ 19.37/3.14 X334 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ~( 19.37/3.14 in @ 19.37/3.14 X340 @ 19.37/3.14 ( 19.37/3.14 binunion 19.37/3.14 @ 19.37/3.14 X336 @ 19.37/3.14 X338 ) ) ) => 19.37/3.14 ( 19.37/3.14 ~( 19.37/3.14 in @ 19.37/3.14 X340 @ 19.37/3.14 X336 ) ) ) ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X342:$i, 19.37/3.14 X344:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X344 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X342 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X346:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X346 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X342 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X348:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X348 @ 19.37/3.14 X342 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ~( 19.37/3.14 in @ 19.37/3.14 X348 @ 19.37/3.14 ( 19.37/3.14 binunion 19.37/3.14 @ 19.37/3.14 X344 @ 19.37/3.14 X346 ) ) ) => 19.37/3.14 ( 19.37/3.14 ~( 19.37/3.14 in @ 19.37/3.14 X348 @ 19.37/3.14 X346 ) ) ) ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X350:$i, 19.37/3.14 X352:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X352 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X350 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X354:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X354 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X350 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X356:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X356 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X350 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X358:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X358 @ 19.37/3.14 X350 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X358 @ 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X352 @ 19.37/3.14 X354 ) ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X358 @ 19.37/3.14 ( 19.37/3.14 binunion @ 19.37/3.14 X352 @ 19.37/3.14 X356 ) ) ) ) ) ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X360:$i, 19.37/3.14 X362:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X362 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X360 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X364:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X364 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X360 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X366:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X366 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X360 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X368:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X368 @ 19.37/3.14 X360 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X368 @ 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X362 @ 19.37/3.14 X364 ) ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X368 @ 19.37/3.14 ( 19.37/3.14 binunion @ 19.37/3.14 X364 @ 19.37/3.14 X366 ) ) ) ) ) ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X370:$i, 19.37/3.14 X372:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X372 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X370 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X374:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X374 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X370 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X376:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X376 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X370 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X378:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X378 @ 19.37/3.14 X370 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X378 @ 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X372 @ 19.37/3.14 X374 ) ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X378 @ 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 ( 19.37/3.14 binunion @ 19.37/3.14 X372 @ 19.37/3.14 X376 ) @ 19.37/3.14 ( 19.37/3.14 binunion @ 19.37/3.14 X374 @ 19.37/3.14 X376 ) ) ) ) ) ) ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X380:$i, 19.37/3.14 X382:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X382 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X380 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X384:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X384 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X380 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X386:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X386 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X380 ) ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X382 @ 19.37/3.14 X384 ) @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 ( 19.37/3.14 binunion @ 19.37/3.14 X382 @ 19.37/3.14 X386 ) @ 19.37/3.14 ( 19.37/3.14 binunion @ 19.37/3.14 X384 @ 19.37/3.14 X386 ) ) ) ) ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X388:$i, 19.37/3.14 X390:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X390 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X388 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X392:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X392 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X388 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X394:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X394 @ 19.37/3.14 X388 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X394 @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X388 @ 19.37/3.14 ( 19.37/3.14 binunion @ 19.37/3.14 X390 @ 19.37/3.14 X392 ) ) ) => 19.37/3.14 ( 19.37/3.14 ~( 19.37/3.14 in @ 19.37/3.14 X394 @ 19.37/3.14 X390 ) ) ) ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X396:$i, 19.37/3.14 X398:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X398 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X396 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X400:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X400 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X396 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X402:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X402 @ 19.37/3.14 X396 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X402 @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X396 @ 19.37/3.14 ( 19.37/3.14 binunion @ 19.37/3.14 X398 @ 19.37/3.14 X400 ) ) ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X402 @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X396 @ 19.37/3.14 X398 ) ) ) ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X404:$i, 19.37/3.14 X406:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X406 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X404 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X408:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X408 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X404 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X410:$o, 19.37/3.14 X412:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X412 @ 19.37/3.14 X404 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X412 @ 19.37/3.14 ( 19.37/3.14 binunion @ 19.37/3.14 X406 @ 19.37/3.14 X408 ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X412 @ 19.37/3.14 X406 ) => 19.37/3.14 ( 19.37/3.14 X410 ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X412 @ 19.37/3.14 X408 ) => 19.37/3.14 ( 19.37/3.14 X410 ) ) => 19.37/3.14 ( 19.37/3.14 X410 ) ) ) ) ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X414:$i, 19.37/3.14 X416:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X416 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X414 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X418:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X418 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X414 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X420:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X420 @ 19.37/3.14 X414 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ~( 19.37/3.14 in @ 19.37/3.14 X420 @ 19.37/3.14 X416 ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ~( 19.37/3.14 in @ 19.37/3.14 X420 @ 19.37/3.14 X418 ) ) => 19.37/3.14 ( 19.37/3.14 ~( 19.37/3.14 in @ 19.37/3.14 X420 @ 19.37/3.14 ( 19.37/3.14 binunion 19.37/3.14 @ 19.37/3.14 X416 @ 19.37/3.14 X418 ) ) ) ) ) ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X422:$i, 19.37/3.14 X424:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X424 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X422 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X426:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X426 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X422 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X428:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X428 @ 19.37/3.14 X422 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X428 @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X422 @ 19.37/3.14 ( 19.37/3.14 binunion @ 19.37/3.14 X424 @ 19.37/3.14 X426 ) ) ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X428 @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X422 @ 19.37/3.14 X424 ) ) ) ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X430:$i, 19.37/3.14 X432:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X432 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X430 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X434:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X434 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X430 ) ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X430 @ 19.37/3.14 ( 19.37/3.14 binunion @ 19.37/3.14 X432 @ 19.37/3.14 X434 ) ) @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X430 @ 19.37/3.14 X432 ) ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X436:$i, 19.37/3.14 X438:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X438 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X436 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X440:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X440 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X436 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X442:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X442 @ 19.37/3.14 X436 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X442 @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X436 @ 19.37/3.14 ( 19.37/3.14 binunion @ 19.37/3.14 X438 @ 19.37/3.14 X440 ) ) ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X442 @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X436 @ 19.37/3.14 X440 ) ) ) ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X444:$i, 19.37/3.14 X446:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X446 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X444 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X448:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X448 @ 19.37/3.14 ( 19.37/3.14 powerset @ 19.37/3.14 X444 ) ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X450:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X450 @ 19.37/3.14 X444 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X450 @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X444 @ 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X446 @ 19.37/3.14 X448 ) ) ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X450 @ 19.37/3.14 ( 19.37/3.14 binunion @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X444 @ 19.37/3.14 X446 ) @ 19.37/3.14 ( 19.37/3.14 setminus @ 19.37/3.14 X444 @ 19.37/3.14 X448 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 19.37/3.14 thf(zf_stmt_1, negated_conjecture, 19.37/3.14 (~( ( setextAx ) => 19.37/3.14 ( ( emptysetAx ) => 19.37/3.14 ( ( setadjoinAx ) => 19.37/3.14 ( ( powersetAx ) => 19.37/3.14 ( ( setunionAx ) => 19.37/3.14 ( ( omega0Ax ) => 19.37/3.14 ( ( omegaSAx ) => 19.37/3.14 ( ( omegaIndAx ) => 19.37/3.14 ( ( replAx ) => 19.37/3.14 ( ( foundationAx ) => 19.37/3.14 ( ( wellorderingAx ) => 19.37/3.14 ( ( descrp ) => 19.37/3.14 ( ( dsetconstrI ) => 19.37/3.14 ( ( dsetconstrEL ) => 19.37/3.14 ( ( dsetconstrER ) => 19.37/3.14 ( ( exuE1 ) => 19.37/3.14 ( ( prop2setE ) => 19.37/3.14 ( ( emptysetE ) => 19.37/3.14 ( ( emptysetimpfalse ) => 19.37/3.14 ( ( notinemptyset ) => 19.37/3.14 ( ( exuE3e ) => 19.37/3.14 ( ( setext ) => 19.37/3.14 ( ( emptyI ) => 19.37/3.14 ( ( noeltsimpempty ) => 19.37/3.14 ( ( setbeta ) => 19.37/3.14 ( ( nonemptyE1 ) => 19.37/3.14 ( ( nonemptyI ) => 19.37/3.14 ( ( nonemptyI1 ) => 19.37/3.14 ( ( setadjoinIL ) => 19.37/3.14 ( ( emptyinunitempty ) => 19.37/3.14 ( ( setadjoinIR ) => 19.37/3.14 ( ( 19.37/3.14 setadjoinE ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setadjoinOr ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setoftrueEq ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 powersetI ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 emptyinPowerset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 emptyInPowerset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 powersetE ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setunionI ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setunionE ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subPowSU ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 exuE2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 nonemptyImpWitness ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 uniqinunit ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 notinsingleton ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 eqinunit ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 singletonsswitch ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 upairsetE ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 upairsetIL ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 upairsetIR ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 emptyE1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 vacuousDall ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 quantDeMorgan1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 quantDeMorgan2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 quantDeMorgan3 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 quantDeMorgan4 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 prop2setI ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 prop2set2propI ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 notdexE ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 notdallE ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 exuI1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 exuI3 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 exuI2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 inCongP ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in__Cong ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 exuE3u ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 exu__Cong ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 emptyset__Cong ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setadjoin__Cong ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 powerset__Cong ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setunion__Cong ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 omega__Cong ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 exuEu ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 descr__Cong ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 dsetconstr__Cong ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subsetI1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 eqimpsubset2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 eqimpsubset1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subsetI2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 emptysetsubset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subsetE ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subsetE2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 notsubsetI ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 notequalI1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 notequalI2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subsetRefl ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subsetTrans ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setadjoinSub ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setadjoinSub2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subset2powerset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setextsub ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subsetemptysetimpeq ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 powersetI1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 powersetE1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 inPowerset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 powersetsubset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 sepInPowerset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 sepSubset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X4:$i, 19.37/3.14 X6:$i, 19.37/3.14 X8:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X8 @ X4 ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X8 @ 19.37/3.14 ( 19.37/3.14 binunion 19.37/3.14 @ 19.37/3.14 X4 @ X6 ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 upairset2IR ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X10:$i, 19.37/3.14 X12:$i, 19.37/3.14 X14:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X14 @ X12 ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X14 @ 19.37/3.14 ( 19.37/3.14 binunion 19.37/3.14 @ 19.37/3.14 X10 @ X12 ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X16:$i, 19.37/3.14 X18:$i, 19.37/3.14 X20:$i, 19.37/3.14 X22:$o]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X20 @ 19.37/3.14 ( 19.37/3.14 binunion 19.37/3.14 @ 19.37/3.14 X16 @ X18 ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X20 @ X16 ) => 19.37/3.14 ( 19.37/3.14 X22 ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X20 @ X18 ) => 19.37/3.14 ( 19.37/3.14 X22 ) ) => 19.37/3.14 ( 19.37/3.14 X22 ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X24:$i, 19.37/3.14 X26:$i, 19.37/3.14 X28:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X28 @ 19.37/3.14 ( 19.37/3.14 binunion 19.37/3.14 @ 19.37/3.14 X24 @ X26 ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X28 @ X24 ) | 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X28 @ X26 ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X30:$i, 19.37/3.14 X32:$i]: 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 X30 @ 19.37/3.14 ( 19.37/3.14 binunion 19.37/3.14 @ 19.37/3.14 X30 @ X32 ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X34:$i, 19.37/3.14 X36:$i]: 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 X36 @ 19.37/3.14 ( 19.37/3.14 binunion 19.37/3.14 @ 19.37/3.14 X34 @ X36 ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X38:$i, 19.37/3.14 X40:$i, 19.37/3.14 X42:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X42 @ X38 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X42 @ X40 ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X42 @ 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X38 @ X40 ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X44:$i, 19.37/3.14 X46:$i, 19.37/3.14 X48:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 X48 @ X44 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 X48 @ X46 ) => 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 X48 @ 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X44 @ X46 ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X50:$i, 19.37/3.14 X52:$i, 19.37/3.14 X54:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X54 @ 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X50 @ X52 ) ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X54 @ X50 ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X56:$i, 19.37/3.14 X58:$i]: 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X56 @ X58 ) @ 19.37/3.14 X56 ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X60:$i, 19.37/3.14 X62:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 X60 @ X62 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X60 @ X62 ) = 19.37/3.14 ( 19.37/3.14 X60 ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X64:$i, 19.37/3.14 X66:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X64 @ X66 ) = 19.37/3.14 ( 19.37/3.14 X66 ) ) => 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 X66 @ X64 ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X68:$i, 19.37/3.14 X70:$i, 19.37/3.14 X72:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X72 @ 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X68 @ X70 ) ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X72 @ X70 ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X74:$i, 19.37/3.14 X76:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ~ 19.37/3.14 ( 19.37/3.14 ?[ 19.37/3.14 X78:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X78 @ X76 ) & 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X78 @ X74 ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X74 @ X76 ) = 19.37/3.14 ( 19.37/3.14 emptyset ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X80:$i, 19.37/3.14 X82:$i]: 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X80 @ X82 ) @ 19.37/3.14 X82 ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X84:$i, 19.37/3.14 X86:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 X86 @ X84 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X84 @ X86 ) = 19.37/3.14 ( 19.37/3.14 X86 ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X88:$i, 19.37/3.14 X90:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X88 @ X90 ) = 19.37/3.14 ( 19.37/3.14 X88 ) ) => 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 X88 @ X90 ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X92:$i, 19.37/3.14 X94:$i, 19.37/3.14 X96:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X92 @ 19.37/3.14 ( 19.37/3.14 binunion 19.37/3.14 @ 19.37/3.14 X94 @ X96 ) ) = 19.37/3.14 ( 19.37/3.14 binunion 19.37/3.14 @ 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X92 @ X94 ) @ 19.37/3.14 ( 19.37/3.14 binintersect 19.37/3.14 @ 19.37/3.14 X92 @ X96 ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X98:$i, 19.37/3.14 X100:$i, 19.37/3.14 X102:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X102 @ 19.37/3.14 X98 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ~ 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X102 @ 19.37/3.14 X100 ) ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X102 @ 19.37/3.14 ( 19.37/3.14 setminus 19.37/3.14 @ 19.37/3.14 X98 @ 19.37/3.14 X100 ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X104:$i, 19.37/3.14 X106:$i, 19.37/3.14 X108:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X108 @ 19.37/3.14 ( 19.37/3.14 setminus 19.37/3.14 @ 19.37/3.14 X104 @ 19.37/3.14 X106 ) ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X108 @ 19.37/3.14 X104 ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X110:$i, 19.37/3.14 X112:$i, 19.37/3.14 X114:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X114 @ 19.37/3.14 ( 19.37/3.14 setminus 19.37/3.14 @ 19.37/3.14 X110 @ 19.37/3.14 X112 ) ) => 19.37/3.14 ( 19.37/3.14 ~ 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X114 @ 19.37/3.14 X112 ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X116:$i, 19.37/3.14 X118:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 X116 @ 19.37/3.14 X118 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setminus 19.37/3.14 @ 19.37/3.14 X116 @ 19.37/3.14 X118 ) = 19.37/3.14 ( 19.37/3.14 emptyset ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X120:$i, 19.37/3.14 X122:$i, 19.37/3.14 X124:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ~ 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X124 @ 19.37/3.14 ( 19.37/3.14 setminus 19.37/3.14 @ 19.37/3.14 X120 @ 19.37/3.14 X122 ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X124 @ 19.37/3.14 X120 ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X124 @ 19.37/3.14 X122 ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X126:$i, 19.37/3.14 X128:$i, 19.37/3.14 X130:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ~ 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X130 @ 19.37/3.14 ( 19.37/3.14 setminus 19.37/3.14 @ 19.37/3.14 X126 @ 19.37/3.14 X128 ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ~ 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X130 @ 19.37/3.14 X128 ) ) => 19.37/3.14 ( 19.37/3.14 ~ 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X130 @ 19.37/3.14 X126 ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X132:$i, 19.37/3.14 X134:$i, 19.37/3.14 X136:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ~ 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X136 @ 19.37/3.14 X132 ) ) => 19.37/3.14 ( 19.37/3.14 ~ 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X136 @ 19.37/3.14 ( 19.37/3.14 setminus 19.37/3.14 @ 19.37/3.14 X132 @ 19.37/3.14 X134 ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X138:$i, 19.37/3.14 X140:$i, 19.37/3.14 X142:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X142 @ 19.37/3.14 X140 ) => 19.37/3.14 ( 19.37/3.14 ~ 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X142 @ 19.37/3.14 ( 19.37/3.14 setminus 19.37/3.14 @ 19.37/3.14 X138 @ 19.37/3.14 X140 ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X144:$i, 19.37/3.14 X146:$i]: 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 ( 19.37/3.14 setminus 19.37/3.14 @ 19.37/3.14 X144 @ 19.37/3.14 X146 ) @ 19.37/3.14 X144 ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X148:$i, 19.37/3.14 X150:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setminus 19.37/3.14 @ 19.37/3.14 X148 @ 19.37/3.14 X150 ) = 19.37/3.14 ( 19.37/3.14 emptyset ) ) => 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 X148 @ 19.37/3.14 X150 ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 symdiffE ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 symdiffI1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 symdiffI2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 symdiffIneg1 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 symdiffIneg2 ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 secondinupair ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setukpairIL ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 setukpairIR ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 kpairiskpair ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 kpairp ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 singletonsubset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 singletoninpowerset ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X152:$i, 19.37/3.14 X154:$i, 19.37/3.14 X156:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X156 @ 19.37/3.14 X152 ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 ( 19.37/3.14 setadjoin 19.37/3.14 @ 19.37/3.14 X156 @ 19.37/3.14 emptyset ) @ 19.37/3.14 ( 19.37/3.14 powerset 19.37/3.14 @ 19.37/3.14 ( 19.37/3.14 binunion 19.37/3.14 @ 19.37/3.14 X152 @ 19.37/3.14 X154 ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 upairset2E ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X158:$i, 19.37/3.14 X160:$i, 19.37/3.14 X162:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X162 @ 19.37/3.14 X158 ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X164:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X164 @ 19.37/3.14 X160 ) => 19.37/3.14 ( 19.37/3.14 subset @ 19.37/3.14 ( 19.37/3.14 setadjoin 19.37/3.14 @ 19.37/3.14 X162 @ 19.37/3.14 ( 19.37/3.14 setadjoin 19.37/3.14 @ 19.37/3.14 X164 @ 19.37/3.14 emptyset ) ) @ 19.37/3.14 ( 19.37/3.14 binunion 19.37/3.14 @ 19.37/3.14 X158 @ 19.37/3.14 X160 ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X166:$i, 19.37/3.14 X168:$i, 19.37/3.14 X170:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X170 @ 19.37/3.14 X166 ) => 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X172:$i]: 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 X172 @ 19.37/3.14 X168 ) => 19.37/3.14 ( 19.37/3.14 in @ 19.37/3.14 ( 19.37/3.14 setadjoin 19.37/3.14 @ 19.37/3.14 X170 @ 19.37/3.14 ( 19.37/3.14 setadjoin 19.37/3.14 @ 19.37/3.14 X172 @ 19.37/3.14 emptyset ) ) @ 19.37/3.14 ( 19.37/3.14 powerset 19.37/3.14 @ 19.37/3.14 ( 19.37/3.14 binunion 19.37/3.14 @ 19.37/3.14 X166 @ 19.37/3.14 X168 ) ) ) ) ) ) ) => 19.37/3.14 ( 19.37/3.14 ( 19.37/3.14 ![ 19.37/3.14 X174:$i, 19.37/3.14 X176:$i, 19.37/3.14 X178:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X178 @ 19.37/3.15 X174 ) => 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X180:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X180 @ 19.37/3.15 X176 ) => 19.37/3.15 ( 19.37/3.15 subset @ 19.37/3.15 ( 19.37/3.15 setadjoin 19.37/3.15 @ 19.37/3.15 ( 19.37/3.15 setadjoin 19.37/3.15 @ 19.37/3.15 X178 @ 19.37/3.15 emptyset ) @ 19.37/3.15 ( 19.37/3.15 setadjoin 19.37/3.15 @ 19.37/3.15 ( 19.37/3.15 setadjoin 19.37/3.15 @ 19.37/3.15 X178 @ 19.37/3.15 ( 19.37/3.15 setadjoin 19.37/3.15 @ 19.37/3.15 X180 @ 19.37/3.15 emptyset ) ) @ 19.37/3.15 emptyset ) ) @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 ( 19.37/3.15 binunion 19.37/3.15 @ 19.37/3.15 X174 @ 19.37/3.15 X176 ) ) ) ) ) ) ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X182:$i, 19.37/3.15 X184:$i, 19.37/3.15 X186:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X186 @ 19.37/3.15 X182 ) => 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X188:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X188 @ 19.37/3.15 X184 ) => 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 ( 19.37/3.15 setadjoin 19.37/3.15 @ 19.37/3.15 ( 19.37/3.15 setadjoin 19.37/3.15 @ 19.37/3.15 X186 @ 19.37/3.15 emptyset ) @ 19.37/3.15 ( 19.37/3.15 setadjoin 19.37/3.15 @ 19.37/3.15 ( 19.37/3.15 setadjoin 19.37/3.15 @ 19.37/3.15 X186 @ 19.37/3.15 ( 19.37/3.15 setadjoin 19.37/3.15 @ 19.37/3.15 X188 @ 19.37/3.15 emptyset ) ) @ 19.37/3.15 emptyset ) ) @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 ( 19.37/3.15 binunion 19.37/3.15 @ 19.37/3.15 X182 @ 19.37/3.15 X184 ) ) ) ) ) ) ) ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X190:$i, 19.37/3.15 X192:$i, 19.37/3.15 X194:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X194 @ 19.37/3.15 X190 ) => 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X196:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X196 @ 19.37/3.15 X192 ) => 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 ( 19.37/3.15 kpair @ 19.37/3.15 X194 @ 19.37/3.15 X196 ) @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 ( 19.37/3.15 binunion 19.37/3.15 @ 19.37/3.15 X190 @ 19.37/3.15 X192 ) ) ) ) ) ) ) ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 cartprodpairin ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 cartprodmempair1 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 cartprodmempair ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 setunionE2 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 setunionsingleton1 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 setunionsingleton2 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 setunionsingleton ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 singletonprop ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ex1E1 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ex1I ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ex1I2 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 singletonsuniq ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 setukpairinjL1 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 kfstsingleton ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 theprop ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 kfstpairEq ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 cartprodfstin ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 setukpairinjL2 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 setukpairinjL ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 setukpairinjR11 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 setukpairinjR12 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 setukpairinjR1 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 upairequniteq ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 setukpairinjR2 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 setukpairinjR ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ksndsingleton ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ksndpairEq ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 kpairsurjEq ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 cartprodsndin ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 cartprodpairmemEL ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 cartprodpairmemER ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 cartprodmempaircEq ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 cartprodfstpairEq ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 cartprodsndpairEq ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 cartprodpairsurjEq ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 dpsetconstrI ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 dpsetconstrSub ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 setOfPairsIsBReln ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 dpsetconstrERa ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 dpsetconstrEL1 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 dpsetconstrEL2 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 dpsetconstrER ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 funcImageSingleton ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 apProp ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 app ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 infuncsetfunc ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ap2p ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 funcinfuncset ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 lamProp ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 lamp ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 lam2p ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 brelnall1 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 brelnall2 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ex1E2 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 funcGraphProp1 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 funcGraphProp3 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 funcGraphProp2 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 funcextLem ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 funcGraphProp4 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 subbreln ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 eqbreln ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 funcext ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 funcext2 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ap2apEq1 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ap2apEq2 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 beta1 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 eta1 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 lam2lamEq ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 beta2 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 eta2 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 iffalseProp1 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 iffalseProp2 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 iftrueProp1 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 iftrueProp2 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ifSingleton ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ifp ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 theeq ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 iftrue ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 iffalse ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 iftrueorfalse ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X198:$i, 19.37/3.15 X200:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X200 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X198 ) ) => 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X202:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X202 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X198 ) ) => 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 ( 19.37/3.15 binintersect 19.37/3.15 @ 19.37/3.15 X200 @ 19.37/3.15 X202 ) @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X198 ) ) ) ) ) ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X204:$i, 19.37/3.15 X206:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X206 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X204 ) ) => 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X208:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X208 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X204 ) ) => 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 ( 19.37/3.15 binunion 19.37/3.15 @ 19.37/3.15 X206 @ 19.37/3.15 X208 ) @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X204 ) ) ) ) ) ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 powersetT_lem ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X210:$i, 19.37/3.15 X212:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X212 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X210 ) ) => 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X214:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X214 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X210 ) ) => 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 ( 19.37/3.15 setminus 19.37/3.15 @ 19.37/3.15 X212 @ 19.37/3.15 X214 ) @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X210 ) ) ) ) ) ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X216:$i, 19.37/3.15 X218:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X218 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X216 ) ) => 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 ( 19.37/3.15 setminus 19.37/3.15 @ 19.37/3.15 X216 @ 19.37/3.15 X218 ) @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X216 ) ) ) ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 setextT ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 subsetTI ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 powersetTI1 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 powersetTE1 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X220:$i, 19.37/3.15 X222:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X222 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X220 ) ) => 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X224:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X224 @ 19.37/3.15 X220 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X224 @ 19.37/3.15 X222 ) => 19.37/3.15 ( 19.37/3.15 ~ 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X224 @ 19.37/3.15 ( 19.37/3.15 setminus 19.37/3.15 @ 19.37/3.15 X220 @ 19.37/3.15 X222 ) ) ) ) ) ) ) ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X226:$i, 19.37/3.15 X228:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X228 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X226 ) ) => 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X230:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X230 @ 19.37/3.15 X226 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ~ 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X230 @ 19.37/3.15 ( 19.37/3.15 setminus 19.37/3.15 @ 19.37/3.15 X226 @ 19.37/3.15 X228 ) ) ) => 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X230 @ 19.37/3.15 X228 ) ) ) ) ) ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X232:$i, 19.37/3.15 X234:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X234 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X232 ) ) => 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X236:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X236 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X232 ) ) => 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X238:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X238 @ 19.37/3.15 X232 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ~ 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X238 @ 19.37/3.15 X234 ) ) => 19.37/3.15 ( 19.37/3.15 ~ 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X238 @ 19.37/3.15 ( 19.37/3.15 binintersect 19.37/3.15 @ 19.37/3.15 X234 @ 19.37/3.15 X236 ) ) ) ) ) ) ) ) ) ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X240:$i, 19.37/3.15 X242:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X242 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X240 ) ) => 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X244:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X244 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X240 ) ) => 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X246:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X246 @ 19.37/3.15 X240 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ~ 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X246 @ 19.37/3.15 X244 ) ) => 19.37/3.15 ( 19.37/3.15 ~ 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X246 @ 19.37/3.15 ( 19.37/3.15 binintersect 19.37/3.15 @ 19.37/3.15 X242 @ 19.37/3.15 X244 ) ) ) ) ) ) ) ) ) ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X248:$i, 19.37/3.15 X250:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X250 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X248 ) ) => 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X252:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X252 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X248 ) ) => 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X254:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X254 @ 19.37/3.15 X248 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 subset @ 19.37/3.15 X250 @ 19.37/3.15 ( 19.37/3.15 setminus 19.37/3.15 @ 19.37/3.15 X248 @ 19.37/3.15 X252 ) ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X254 @ 19.37/3.15 X252 ) => 19.37/3.15 ( 19.37/3.15 ~ 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X254 @ 19.37/3.15 X250 ) ) ) ) ) ) ) ) ) ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 contrasubsetT1 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X256:$i, 19.37/3.15 X258:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X258 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X256 ) ) => 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X260:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X260 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X256 ) ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 subset @ 19.37/3.15 X258 @ 19.37/3.15 X260 ) => 19.37/3.15 ( 19.37/3.15 subset @ 19.37/3.15 ( 19.37/3.15 setminus 19.37/3.15 @ 19.37/3.15 X256 @ 19.37/3.15 X260 ) @ 19.37/3.15 ( 19.37/3.15 setminus 19.37/3.15 @ 19.37/3.15 X256 @ 19.37/3.15 X258 ) ) ) ) ) ) ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X262:$i, 19.37/3.15 X264:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X264 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X262 ) ) => 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X266:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X266 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X262 ) ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 subset @ 19.37/3.15 ( 19.37/3.15 setminus 19.37/3.15 @ 19.37/3.15 X262 @ 19.37/3.15 X266 ) @ 19.37/3.15 ( 19.37/3.15 setminus 19.37/3.15 @ 19.37/3.15 X262 @ 19.37/3.15 X264 ) ) => 19.37/3.15 ( 19.37/3.15 subset @ 19.37/3.15 X264 @ 19.37/3.15 X266 ) ) ) ) ) ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X268:$i, 19.37/3.15 X270:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X270 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X268 ) ) => 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X272:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X272 @ 19.37/3.15 X268 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X272 @ 19.37/3.15 X270 ) => 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X272 @ 19.37/3.15 ( 19.37/3.15 setminus 19.37/3.15 @ 19.37/3.15 X268 @ 19.37/3.15 ( 19.37/3.15 setminus 19.37/3.15 @ 19.37/3.15 X268 @ 19.37/3.15 X270 ) ) ) ) ) ) ) ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X274:$i, 19.37/3.15 X276:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X276 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X274 ) ) => 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X278:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X278 @ 19.37/3.15 X274 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X278 @ 19.37/3.15 ( 19.37/3.15 setminus 19.37/3.15 @ 19.37/3.15 X274 @ 19.37/3.15 ( 19.37/3.15 setminus 19.37/3.15 @ 19.37/3.15 X274 @ 19.37/3.15 X276 ) ) ) => 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X278 @ 19.37/3.15 X276 ) ) ) ) ) ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X280:$i, 19.37/3.15 X282:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X282 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X280 ) ) => 19.37/3.15 ( 19.37/3.15 subset @ 19.37/3.15 X282 @ 19.37/3.15 ( 19.37/3.15 setminus 19.37/3.15 @ 19.37/3.15 X280 @ 19.37/3.15 ( 19.37/3.15 setminus 19.37/3.15 @ 19.37/3.15 X280 @ 19.37/3.15 X282 ) ) ) ) ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X284:$i, 19.37/3.15 X286:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X286 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X284 ) ) => 19.37/3.15 ( 19.37/3.15 subset @ 19.37/3.15 ( 19.37/3.15 setminus 19.37/3.15 @ 19.37/3.15 X284 @ 19.37/3.15 ( 19.37/3.15 setminus 19.37/3.15 @ 19.37/3.15 X284 @ 19.37/3.15 X286 ) ) @ 19.37/3.15 X286 ) ) ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X288:$i, 19.37/3.15 X290:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X290 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X288 ) ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 X290 ) = 19.37/3.15 ( 19.37/3.15 setminus 19.37/3.15 @ 19.37/3.15 X288 @ 19.37/3.15 ( 19.37/3.15 setminus 19.37/3.15 @ 19.37/3.15 X288 @ 19.37/3.15 X290 ) ) ) ) ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X292:$i, 19.37/3.15 X294:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X294 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X292 ) ) => 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X296:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X296 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X292 ) ) => 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X298:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X298 @ 19.37/3.15 X292 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X298 @ 19.37/3.15 ( 19.37/3.15 setminus 19.37/3.15 @ 19.37/3.15 X292 @ 19.37/3.15 X294 ) ) => 19.37/3.15 ( 19.37/3.15 ~ 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X298 @ 19.37/3.15 ( 19.37/3.15 binintersect 19.37/3.15 @ 19.37/3.15 X294 @ 19.37/3.15 X296 ) ) ) ) ) ) ) ) ) ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X300:$i, 19.37/3.15 X302:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X302 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X300 ) ) => 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X304:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X304 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X300 ) ) => 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X306:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X306 @ 19.37/3.15 X300 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X306 @ 19.37/3.15 ( 19.37/3.15 setminus 19.37/3.15 @ 19.37/3.15 X300 @ 19.37/3.15 X302 ) ) => 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X306 @ 19.37/3.15 ( 19.37/3.15 setminus 19.37/3.15 @ 19.37/3.15 X300 @ 19.37/3.15 ( 19.37/3.15 binintersect 19.37/3.15 @ 19.37/3.15 X302 @ 19.37/3.15 X304 ) ) ) ) ) ) ) ) ) ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X308:$i, 19.37/3.15 X310:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X310 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X308 ) ) => 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X312:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X312 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X308 ) ) => 19.37/3.15 ( 19.37/3.15 subset @ 19.37/3.15 ( 19.37/3.15 setminus 19.37/3.15 @ 19.37/3.15 X308 @ 19.37/3.15 X310 ) @ 19.37/3.15 ( 19.37/3.15 setminus 19.37/3.15 @ 19.37/3.15 X308 @ 19.37/3.15 ( 19.37/3.15 binintersect 19.37/3.15 @ 19.37/3.15 X310 @ 19.37/3.15 X312 ) ) ) ) ) ) ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X314:$i, 19.37/3.15 X316:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X316 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X314 ) ) => 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X318:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X318 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X314 ) ) => 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 ( 19.37/3.15 setminus 19.37/3.15 @ 19.37/3.15 X314 @ 19.37/3.15 X316 ) @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 ( 19.37/3.15 setminus 19.37/3.15 @ 19.37/3.15 X314 @ 19.37/3.15 ( 19.37/3.15 binintersect 19.37/3.15 @ 19.37/3.15 X316 @ 19.37/3.15 X318 ) ) ) ) ) ) ) ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X320:$i, 19.37/3.15 X322:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X322 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X320 ) ) => 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X324:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X324 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X320 ) ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 subset @ 19.37/3.15 X322 @ 19.37/3.15 ( 19.37/3.15 setminus 19.37/3.15 @ 19.37/3.15 X320 @ 19.37/3.15 X324 ) ) => 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X326:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X326 @ 19.37/3.15 X320 ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X326 @ 19.37/3.15 X324 ) => 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X326 @ 19.37/3.15 ( 19.37/3.15 setminus 19.37/3.15 @ 19.37/3.15 X320 @ 19.37/3.15 X322 ) ) ) ) ) ) ) ) ) ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X328:$i, 19.37/3.15 X330:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X330 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X328 ) ) => 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X332:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.15 X332 @ 19.37/3.15 ( 19.37/3.15 powerset 19.37/3.15 @ 19.37/3.15 X328 ) ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 subset @ 19.37/3.15 X330 @ 19.37/3.15 ( 19.37/3.15 setminus 19.37/3.15 @ 19.37/3.15 X328 @ 19.37/3.15 X332 ) ) => 19.37/3.15 ( 19.37/3.15 subset @ 19.37/3.15 X332 @ 19.37/3.15 ( 19.37/3.15 setminus 19.37/3.15 @ 19.37/3.15 X328 @ 19.37/3.15 X330 ) ) ) ) ) ) ) => 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 ![ 19.37/3.15 X334:$i, 19.37/3.15 X336:$i]: 19.37/3.15 ( 19.37/3.15 ( 19.37/3.15 in @ 19.37/3.16 X336 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X334 ) ) => 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X338:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X338 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X334 ) ) => 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X340:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X340 @ 19.37/3.16 X334 ) => 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 ~ 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X340 @ 19.37/3.16 ( 19.37/3.16 binunion 19.37/3.16 @ 19.37/3.16 X336 @ 19.37/3.16 X338 ) ) ) => 19.37/3.16 ( 19.37/3.16 ~ 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X340 @ 19.37/3.16 X336 ) ) ) ) ) ) ) ) ) => 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X342:$i, 19.37/3.16 X344:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X344 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X342 ) ) => 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X346:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X346 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X342 ) ) => 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X348:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X348 @ 19.37/3.16 X342 ) => 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 ~ 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X348 @ 19.37/3.16 ( 19.37/3.16 binunion 19.37/3.16 @ 19.37/3.16 X344 @ 19.37/3.16 X346 ) ) ) => 19.37/3.16 ( 19.37/3.16 ~ 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X348 @ 19.37/3.16 X346 ) ) ) ) ) ) ) ) ) => 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X350:$i, 19.37/3.16 X352:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X352 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X350 ) ) => 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X354:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X354 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X350 ) ) => 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X356:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X356 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X350 ) ) => 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X358:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X358 @ 19.37/3.16 X350 ) => 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X358 @ 19.37/3.16 ( 19.37/3.16 binintersect 19.37/3.16 @ 19.37/3.16 X352 @ 19.37/3.16 X354 ) ) => 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X358 @ 19.37/3.16 ( 19.37/3.16 binunion 19.37/3.16 @ 19.37/3.16 X352 @ 19.37/3.16 X356 ) ) ) ) ) ) ) ) ) ) ) => 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X360:$i, 19.37/3.16 X362:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X362 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X360 ) ) => 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X364:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X364 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X360 ) ) => 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X366:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X366 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X360 ) ) => 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X368:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X368 @ 19.37/3.16 X360 ) => 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X368 @ 19.37/3.16 ( 19.37/3.16 binintersect 19.37/3.16 @ 19.37/3.16 X362 @ 19.37/3.16 X364 ) ) => 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X368 @ 19.37/3.16 ( 19.37/3.16 binunion 19.37/3.16 @ 19.37/3.16 X364 @ 19.37/3.16 X366 ) ) ) ) ) ) ) ) ) ) ) => 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X370:$i, 19.37/3.16 X372:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X372 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X370 ) ) => 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X374:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X374 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X370 ) ) => 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X376:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X376 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X370 ) ) => 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X378:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X378 @ 19.37/3.16 X370 ) => 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X378 @ 19.37/3.16 ( 19.37/3.16 binintersect 19.37/3.16 @ 19.37/3.16 X372 @ 19.37/3.16 X374 ) ) => 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X378 @ 19.37/3.16 ( 19.37/3.16 binintersect 19.37/3.16 @ 19.37/3.16 ( 19.37/3.16 binunion 19.37/3.16 @ 19.37/3.16 X372 @ 19.37/3.16 X376 ) @ 19.37/3.16 ( 19.37/3.16 binunion 19.37/3.16 @ 19.37/3.16 X374 @ 19.37/3.16 X376 ) ) ) ) ) ) ) ) ) ) ) ) => 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X380:$i, 19.37/3.16 X382:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X382 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X380 ) ) => 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X384:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X384 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X380 ) ) => 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X386:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X386 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X380 ) ) => 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 ( 19.37/3.16 binintersect 19.37/3.16 @ 19.37/3.16 X382 @ 19.37/3.16 X384 ) @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 ( 19.37/3.16 binintersect 19.37/3.16 @ 19.37/3.16 ( 19.37/3.16 binunion 19.37/3.16 @ 19.37/3.16 X382 @ 19.37/3.16 X386 ) @ 19.37/3.16 ( 19.37/3.16 binunion 19.37/3.16 @ 19.37/3.16 X384 @ 19.37/3.16 X386 ) ) ) ) ) ) ) ) ) ) => 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X388:$i, 19.37/3.16 X390:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X390 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X388 ) ) => 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X392:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X392 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X388 ) ) => 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X394:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X394 @ 19.37/3.16 X388 ) => 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X394 @ 19.37/3.16 ( 19.37/3.16 setminus 19.37/3.16 @ 19.37/3.16 X388 @ 19.37/3.16 ( 19.37/3.16 binunion 19.37/3.16 @ 19.37/3.16 X390 @ 19.37/3.16 X392 ) ) ) => 19.37/3.16 ( 19.37/3.16 ~ 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X394 @ 19.37/3.16 X390 ) ) ) ) ) ) ) ) ) => 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X396:$i, 19.37/3.16 X398:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X398 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X396 ) ) => 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X400:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X400 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X396 ) ) => 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X402:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X402 @ 19.37/3.16 X396 ) => 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X402 @ 19.37/3.16 ( 19.37/3.16 setminus 19.37/3.16 @ 19.37/3.16 X396 @ 19.37/3.16 ( 19.37/3.16 binunion 19.37/3.16 @ 19.37/3.16 X398 @ 19.37/3.16 X400 ) ) ) => 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X402 @ 19.37/3.16 ( 19.37/3.16 setminus 19.37/3.16 @ 19.37/3.16 X396 @ 19.37/3.16 X398 ) ) ) ) ) ) ) ) ) => 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X404:$i, 19.37/3.16 X406:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X406 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X404 ) ) => 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X408:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X408 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X404 ) ) => 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X410:$o, 19.37/3.16 X412:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X412 @ 19.37/3.16 X404 ) => 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X412 @ 19.37/3.16 ( 19.37/3.16 binunion 19.37/3.16 @ 19.37/3.16 X406 @ 19.37/3.16 X408 ) ) => 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X412 @ 19.37/3.16 X406 ) => 19.37/3.16 ( 19.37/3.16 X410 ) ) => 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X412 @ 19.37/3.16 X408 ) => 19.37/3.16 ( 19.37/3.16 X410 ) ) => 19.37/3.16 ( 19.37/3.16 X410 ) ) ) ) ) ) ) ) ) ) => 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X414:$i, 19.37/3.16 X416:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X416 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X414 ) ) => 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X418:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X418 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X414 ) ) => 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X420:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X420 @ 19.37/3.16 X414 ) => 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 ~ 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X420 @ 19.37/3.16 X416 ) ) => 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 ~ 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X420 @ 19.37/3.16 X418 ) ) => 19.37/3.16 ( 19.37/3.16 ~ 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X420 @ 19.37/3.16 ( 19.37/3.16 binunion 19.37/3.16 @ 19.37/3.16 X416 @ 19.37/3.16 X418 ) ) ) ) ) ) ) ) ) ) ) => 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X422:$i, 19.37/3.16 X424:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X424 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X422 ) ) => 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X426:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X426 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X422 ) ) => 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X428:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X428 @ 19.37/3.16 X422 ) => 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X428 @ 19.37/3.16 ( 19.37/3.16 setminus 19.37/3.16 @ 19.37/3.16 X422 @ 19.37/3.16 ( 19.37/3.16 binunion 19.37/3.16 @ 19.37/3.16 X424 @ 19.37/3.16 X426 ) ) ) => 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X428 @ 19.37/3.16 ( 19.37/3.16 setminus 19.37/3.16 @ 19.37/3.16 X422 @ 19.37/3.16 X424 ) ) ) ) ) ) ) ) ) => 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X430:$i, 19.37/3.16 X432:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X432 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X430 ) ) => 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X434:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X434 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X430 ) ) => 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 ( 19.37/3.16 setminus 19.37/3.16 @ 19.37/3.16 X430 @ 19.37/3.16 ( 19.37/3.16 binunion 19.37/3.16 @ 19.37/3.16 X432 @ 19.37/3.16 X434 ) ) @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 ( 19.37/3.16 setminus 19.37/3.16 @ 19.37/3.16 X430 @ 19.37/3.16 X432 ) ) ) ) ) ) ) => 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X436:$i, 19.37/3.16 X438:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X438 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X436 ) ) => 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X440:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X440 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X436 ) ) => 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X442:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X442 @ 19.37/3.16 X436 ) => 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X442 @ 19.37/3.16 ( 19.37/3.16 setminus 19.37/3.16 @ 19.37/3.16 X436 @ 19.37/3.16 ( 19.37/3.16 binunion 19.37/3.16 @ 19.37/3.16 X438 @ 19.37/3.16 X440 ) ) ) => 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X442 @ 19.37/3.16 ( 19.37/3.16 setminus 19.37/3.16 @ 19.37/3.16 X436 @ 19.37/3.16 X440 ) ) ) ) ) ) ) ) ) => 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X444:$i, 19.37/3.16 X446:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X446 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X444 ) ) => 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X448:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X448 @ 19.37/3.16 ( 19.37/3.16 powerset 19.37/3.16 @ 19.37/3.16 X444 ) ) => 19.37/3.16 ( 19.37/3.16 ![ 19.37/3.16 X450:$i]: 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X450 @ 19.37/3.16 X444 ) => 19.37/3.16 ( 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X450 @ 19.37/3.16 ( 19.37/3.16 setminus 19.37/3.16 @ 19.37/3.16 X444 @ 19.37/3.16 ( 19.37/3.16 binintersect 19.37/3.16 @ 19.37/3.16 X446 @ 19.37/3.16 X448 ) ) ) => 19.37/3.16 ( 19.37/3.16 in @ 19.37/3.16 X450 @ 19.37/3.16 ( 19.37/3.16 binunion 19.37/3.16 @ 19.37/3.16 ( 19.37/3.16 setminus 19.37/3.16 @ 19.37/3.16 X444 @ 19.37/3.16 X446 ) @ 19.37/3.16 ( 19.37/3.16 setminus 19.37/3.16 @ 19.37/3.16 X444 @ 19.37/3.16 X448 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 19.37/3.16 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 19.37/3.16 thf(zip_derived_cl223, plain, 19.37/3.16 (![X210 : $i, X211 : $i, X212 : $i]: 19.37/3.16 (~ (in @ X210 @ X211) 19.37/3.16 | (in @ X210 @ (binintersect @ X212 @ X211)) 19.37/3.16 | ~ (in @ X210 @ X212))), 19.37/3.16 inference('cnf', [status(esa)], [zf_stmt_1])). 19.37/3.16 thf(zip_derived_cl139, plain, 19.37/3.16 ( (in @ sk__223 @ 19.37/3.16 (setminus @ sk__220 @ (binintersect @ sk__221 @ sk__222)))), 19.37/3.16 inference('cnf', [status(esa)], [zf_stmt_1])). 19.37/3.16 thf(zip_derived_cl63, plain, 19.37/3.16 (![X33 : $i, X34 : $i, X35 : $i]: 19.37/3.16 (~ (in @ X33 @ (setminus @ X34 @ X35)) | ~ (in @ X33 @ X35))), 19.37/3.16 inference('cnf', [status(esa)], [zf_stmt_1])). 19.37/3.16 thf(zip_derived_cl300, plain, 19.37/3.16 (~ (in @ sk__223 @ (binintersect @ sk__221 @ sk__222))), 19.37/3.16 inference('sup-', [status(thm)], [zip_derived_cl139, zip_derived_cl63])). 19.37/3.16 thf(zip_derived_cl4524, plain, 19.37/3.16 ((~ (in @ sk__223 @ sk__221) | ~ (in @ sk__223 @ sk__222))), 19.37/3.16 inference('sup-', [status(thm)], [zip_derived_cl223, zip_derived_cl300])). 19.37/3.16 thf(zip_derived_cl141, plain, ( (in @ sk__223 @ sk__220)), 19.37/3.16 inference('cnf', [status(esa)], [zf_stmt_1])). 19.37/3.16 thf(zip_derived_cl62, plain, 19.37/3.16 (![X30 : $i, X31 : $i, X32 : $i]: 19.37/3.16 ( (in @ X30 @ X31) 19.37/3.16 | ~ (in @ X30 @ X32) 19.37/3.16 | (in @ X30 @ (setminus @ X32 @ X31)))), 19.37/3.16 inference('cnf', [status(esa)], [zf_stmt_1])). 19.37/3.16 thf(zip_derived_cl488, plain, 19.37/3.16 (![X0 : $i]: 19.37/3.16 ( (in @ sk__223 @ (setminus @ sk__220 @ X0)) | (in @ sk__223 @ X0))), 19.37/3.16 inference('sup-', [status(thm)], [zip_derived_cl141, zip_derived_cl62])). 19.37/3.16 thf(zip_derived_cl49, plain, 19.37/3.16 (![X0 : $i, X1 : $i, X2 : $i]: 19.37/3.16 ( (in @ X0 @ (binunion @ X1 @ X2)) | ~ (in @ X0 @ X1))), 19.37/3.16 inference('cnf', [status(esa)], [zf_stmt_1])). 19.37/3.16 thf(zip_derived_cl140, plain, 19.37/3.16 (~ (in @ sk__223 @ 19.37/3.16 (binunion @ (setminus @ sk__220 @ sk__221) @ 19.37/3.16 (setminus @ sk__220 @ sk__222)))), 19.37/3.16 inference('cnf', [status(esa)], [zf_stmt_1])). 19.37/3.16 thf(zip_derived_cl419, plain, 19.37/3.16 (~ (in @ sk__223 @ (setminus @ sk__220 @ sk__221))), 19.37/3.16 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl140])). 19.37/3.16 thf(zip_derived_cl8211, plain, ( (in @ sk__223 @ sk__221)), 19.37/3.16 inference('sup-', [status(thm)], [zip_derived_cl488, zip_derived_cl419])). 19.37/3.16 thf(zip_derived_cl8272, plain, (~ (in @ sk__223 @ sk__222)), 19.37/3.16 inference('demod', [status(thm)], 19.37/3.16 [zip_derived_cl4524, zip_derived_cl8211])). 19.37/3.16 thf(zip_derived_cl488, plain, 19.37/3.16 (![X0 : $i]: 19.37/3.16 ( (in @ sk__223 @ (setminus @ sk__220 @ X0)) | (in @ sk__223 @ X0))), 19.37/3.16 inference('sup-', [status(thm)], [zip_derived_cl141, zip_derived_cl62])). 19.37/3.16 thf(zip_derived_cl50, plain, 19.37/3.16 (![X3 : $i, X4 : $i, X5 : $i]: 19.37/3.16 ( (in @ X3 @ (binunion @ X4 @ X5)) | ~ (in @ X3 @ X5))), 19.37/3.16 inference('cnf', [status(esa)], [zf_stmt_1])). 19.37/3.16 thf(zip_derived_cl140, plain, 19.37/3.16 (~ (in @ sk__223 @ 19.37/3.16 (binunion @ (setminus @ sk__220 @ sk__221) @ 19.37/3.16 (setminus @ sk__220 @ sk__222)))), 19.37/3.16 inference('cnf', [status(esa)], [zf_stmt_1])). 19.37/3.16 thf(zip_derived_cl418, plain, 19.37/3.16 (~ (in @ sk__223 @ (setminus @ sk__220 @ sk__222))), 19.37/3.16 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl140])). 19.37/3.16 thf(zip_derived_cl8212, plain, ( (in @ sk__223 @ sk__222)), 19.37/3.16 inference('sup-', [status(thm)], [zip_derived_cl488, zip_derived_cl418])). 19.37/3.16 thf(zip_derived_cl8281, plain, ($false), 19.37/3.16 inference('demod', [status(thm)], 19.37/3.16 [zip_derived_cl8272, zip_derived_cl8212])). 19.37/3.16 19.37/3.16 % SZS output end Refutation 19.37/3.16 19.37/3.16 19.37/3.16 % Terminating... 20.13/3.25 % Runner terminated. 20.13/3.27 % Zipperpin 1.5 exiting 20.13/3.27 EOF