0.14/0.16 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.16/0.20 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CNlW8AGUW0 true 0.21/0.43 % Computer : n024.cluster.edu 0.21/0.43 % Model : x86_64 x86_64 0.21/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.21/0.43 % Memory : 8042.1875MB 0.21/0.43 % OS : Linux 3.10.0-693.el7.x86_64 0.21/0.43 % CPULimit : 1920 0.21/0.43 % WCLimit : 240 0.21/0.43 % DateTime : Wed Jul 30 02:05:49 EDT 2025 0.21/0.43 % CPUTime : 0.21/0.43 % Running portfolio for 1920 s 0.21/0.43 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.21/0.43 % Number of cores: 8 0.21/0.43 % Python version: Python 3.6.8 0.21/0.43 % Running in HO mode 0.43/0.73 % Total configuration time : 828 0.43/0.73 % Estimated wc time : 1656 0.43/0.73 % Estimated cpu time (8 cpus) : 207.0 0.44/0.83 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.44/0.83 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.44/0.84 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.44/0.86 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.44/0.87 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.44/0.87 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.44/0.87 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.44/0.88 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 12.52/2.38 % Solved by lams/40_c_ic.sh. 12.52/2.38 % done 843 iterations in 1.442s 12.52/2.38 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 12.52/2.38 % SZS output start Refutation 12.52/2.38 thf(setadjoinAx_type, type, setadjoinAx: $o). 12.52/2.38 thf(notdexE_type, type, notdexE: $o). 12.52/2.38 thf(setukpairinjL2_type, type, setukpairinjL2: $o). 12.52/2.38 thf(doubleComplementI1_type, type, doubleComplementI1: $o). 12.52/2.38 thf(setunionAx_type, type, setunionAx: $o). 12.52/2.38 thf(setminusELneg_type, type, setminusELneg: $o). 12.52/2.38 thf(cartprodsndin_type, type, cartprodsndin: $o). 12.52/2.38 thf(ex1E1_type, type, ex1E1: $o). 12.52/2.38 thf(powersetE_type, type, powersetE: $o). 12.52/2.38 thf(omegaSAx_type, type, omegaSAx: $o). 12.52/2.38 thf(exuI1_type, type, exuI1: $o). 12.52/2.38 thf(exuI2_type, type, exuI2: $o). 12.52/2.38 thf(notequalI2_type, type, notequalI2: $o). 12.52/2.38 thf(setukpairinjL_type, type, setukpairinjL: $o). 12.52/2.38 thf(kpairiskpair_type, type, kpairiskpair: $o). 12.52/2.38 thf(upairsubunion_type, type, upairsubunion: $o). 12.52/2.38 thf(funcGraphProp3_type, type, funcGraphProp3: $o). 12.52/2.38 thf(cartprodmempaircEq_type, type, cartprodmempaircEq: $o). 12.52/2.38 thf(binintersectTERcontra_type, type, binintersectTERcontra: $o). 12.52/2.38 thf(powerset__Cong_type, type, powerset__Cong: $o). 12.52/2.38 thf(setminusILneg_type, type, setminusILneg: $o). 12.52/2.38 thf(wellorderingAx_type, type, wellorderingAx: $o). 12.52/2.38 thf(ksndpairEq_type, type, ksndpairEq: $o). 12.52/2.38 thf(funcGraphProp2_type, type, funcGraphProp2: $o). 12.52/2.38 thf(setadjoinSub2_type, type, setadjoinSub2: $o). 12.52/2.38 thf(binintersectSubset5_type, type, binintersectSubset5: $o). 12.52/2.38 thf(iftrue_type, type, iftrue: $o). 12.52/2.38 thf(upairinpowunion_type, type, upairinpowunion: $o). 12.52/2.38 thf(ifSingleton_type, type, ifSingleton: $o). 12.52/2.38 thf(doubleComplementSub2_type, type, doubleComplementSub2: $o). 12.52/2.38 thf(setoftrueEq_type, type, setoftrueEq: $o). 12.52/2.38 thf(funcImageSingleton_type, type, funcImageSingleton: $o). 12.52/2.38 thf(inIntersectImpInUnion2_type, type, inIntersectImpInUnion2: $o). 12.52/2.38 thf(dpsetconstrERa_type, type, dpsetconstrERa: $o). 12.52/2.38 thf(lamProp_type, type, lamProp: $o). 12.52/2.38 thf(cartprodpairmemEL_type, type, cartprodpairmemEL: $o). 12.52/2.38 thf(emptyset__Cong_type, type, emptyset__Cong: $o). 12.52/2.38 thf(dpsetconstrER_type, type, dpsetconstrER: $o). 12.52/2.38 thf(sepInPowerset_type, type, sepInPowerset: $o). 12.52/2.38 thf(setukpairIR_type, type, setukpairIR: $o). 12.52/2.38 thf(setukpairinjR1_type, type, setukpairinjR1: $o). 12.52/2.38 thf(lam2p_type, type, lam2p: $o). 12.52/2.38 thf(kpair_type, type, kpair: $i > $i > $i). 12.52/2.38 thf(binunionE_type, type, binunionE: $o). 12.52/2.38 thf(setext_type, type, setext: $o). 12.52/2.38 thf(emptyinPowerset_type, type, emptyinPowerset: $o). 12.52/2.38 thf(ubforcartprodlem1_type, type, ubforcartprodlem1: $o). 12.52/2.38 thf(descr__Cong_type, type, descr__Cong: $o). 12.52/2.38 thf(kfstsingleton_type, type, kfstsingleton: $o). 12.52/2.38 thf(binintersectTELcontra_type, type, binintersectTELcontra: $o). 12.52/2.38 thf(doubleComplementEq_type, type, doubleComplementEq: $o). 12.52/2.38 thf(eqbreln_type, type, eqbreln: $o). 12.52/2.38 thf(binintersectSubset1_type, type, binintersectSubset1: $o). 12.52/2.38 thf(complementImpComplementIntersect_type, type, complementImpComplementIntersect: 12.52/2.38 $o). 12.52/2.38 thf(in_type, type, in: $i > $i > $o). 12.52/2.38 thf(binunionT_lem_type, type, binunionT_lem: $o). 12.52/2.38 thf(quantDeMorgan1_type, type, quantDeMorgan1: $o). 12.52/2.38 thf(complementT_lem_type, type, complementT_lem: $o). 12.52/2.38 thf(binunion_type, type, binunion: $i > $i > $i). 12.52/2.38 thf(kpairsurjEq_type, type, kpairsurjEq: $o). 12.52/2.38 thf(setadjoinIR_type, type, setadjoinIR: $o). 12.52/2.38 thf(doubleComplementE1_type, type, doubleComplementE1: $o). 12.52/2.38 thf(beta1_type, type, beta1: $o). 12.52/2.38 thf(setadjoin__Cong_type, type, setadjoin__Cong: $o). 12.52/2.38 thf(powersetTE1_type, type, powersetTE1: $o). 12.52/2.38 thf(symdiffI2_type, type, symdiffI2: $o). 12.52/2.38 thf(iftrueProp2_type, type, iftrueProp2: $o). 12.52/2.38 thf(upairset2IR_type, type, upairset2IR: $o). 12.52/2.38 thf(iffalseProp2_type, type, iffalseProp2: $o). 12.52/2.38 thf(subsetE_type, type, subsetE: $o). 12.52/2.38 thf(prop2set2propI_type, type, prop2set2propI: $o). 12.52/2.38 thf(dsetconstrEL_type, type, dsetconstrEL: $o). 12.52/2.38 thf(setbeta_type, type, setbeta: $o). 12.52/2.38 thf(eqinunit_type, type, eqinunit: $o). 12.52/2.38 thf(upairsetIL_type, type, upairsetIL: $o). 12.52/2.38 thf(powersetI1_type, type, powersetI1: $o). 12.52/2.38 thf(kfstpairEq_type, type, kfstpairEq: $o). 12.52/2.38 thf(binintersectSubset3_type, type, binintersectSubset3: $o). 12.52/2.38 thf(setminusIRneg_type, type, setminusIRneg: $o). 12.52/2.38 thf(ap2apEq1_type, type, ap2apEq1: $o). 12.52/2.38 thf(powersetAx_type, type, powersetAx: $o). 12.52/2.38 thf(binintersectSubset4_type, type, binintersectSubset4: $o). 12.52/2.38 thf(singletoninpowunion_type, type, singletoninpowunion: $o). 12.52/2.38 thf(binunionTIRcontra_type, type, binunionTIRcontra: $o). 12.52/2.38 thf(powersetI_type, type, powersetI: $o). 12.52/2.38 thf(cartprodmempair_type, type, cartprodmempair: $o). 12.52/2.38 thf(upairsetIR_type, type, upairsetIR: $o). 12.52/2.38 thf(lamp_type, type, lamp: $o). 12.52/2.38 thf(dpsetconstrEL1_type, type, dpsetconstrEL1: $o). 12.52/2.38 thf(inCongP_type, type, inCongP: $o). 12.52/2.38 thf(setadjoinSub_type, type, setadjoinSub: $o). 12.52/2.38 thf(exuE3e_type, type, exuE3e: $o). 12.52/2.38 thf(emptysetE_type, type, emptysetE: $o). 12.52/2.38 thf(binintersectSubset2_type, type, binintersectSubset2: $o). 12.52/2.38 thf(setunionI_type, type, setunionI: $o). 12.52/2.38 thf(setunion__Cong_type, type, setunion__Cong: $o). 12.52/2.38 thf(prop2setI_type, type, prop2setI: $o). 12.52/2.38 thf(singletonsuniq_type, type, singletonsuniq: $o). 12.52/2.38 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o). 12.52/2.38 thf(setminusER_type, type, setminusER: $o). 12.52/2.38 thf(exuE2_type, type, exuE2: $o). 12.52/2.38 thf(emptyset_type, type, emptyset: $i). 12.52/2.38 thf(setukpairinjR11_type, type, setukpairinjR11: $o). 12.52/2.38 thf(ex1I_type, type, ex1I: $o). 12.52/2.38 thf(ex1E2_type, type, ex1E2: $o). 12.52/2.38 thf(setminus_type, type, setminus: $i > $i > $i). 12.52/2.38 thf(setukpairinjL1_type, type, setukpairinjL1: $o). 12.52/2.38 thf(powersetsubset_type, type, powersetsubset: $o). 12.52/2.38 thf(binunionTILcontra_type, type, binunionTILcontra: $o). 12.52/2.38 thf(subPowSU_type, type, subPowSU: $o). 12.52/2.38 thf(notequalI1_type, type, notequalI1: $o). 12.52/2.38 thf(contrasubsetT_type, type, contrasubsetT: $o). 12.52/2.38 thf(notinemptyset_type, type, notinemptyset: $o). 12.52/2.38 thf(lam2lamEq_type, type, lam2lamEq: $o). 12.52/2.38 thf(nonemptyI1_type, type, nonemptyI1: $o). 12.52/2.38 thf(subsetTrans_type, type, subsetTrans: $o). 12.52/2.38 thf(kpairp_type, type, kpairp: $o). 12.52/2.38 thf(setukpairinjR12_type, type, setukpairinjR12: $o). 12.52/2.38 thf(setminusI_type, type, setminusI: $o). 12.52/2.38 thf(binunionIL_type, type, binunionIL: $o). 12.52/2.38 thf(dpsetconstrSub_type, type, dpsetconstrSub: $o). 12.52/2.38 thf(setunionsingleton_type, type, setunionsingleton: $o). 12.52/2.38 thf(subsetE2_type, type, subsetE2: $o). 12.52/2.38 thf(singletonsswitch_type, type, singletonsswitch: $o). 12.52/2.38 thf(ubforcartprodlem3_type, type, ubforcartprodlem3: $o). 12.52/2.38 thf(beta2_type, type, beta2: $o). 12.52/2.38 thf(dpsetconstrI_type, type, dpsetconstrI: $o). 12.52/2.38 thf(setextsub_type, type, setextsub: $o). 12.52/2.38 thf(binunionLsub_type, type, binunionLsub: $o). 12.52/2.38 thf(setunionsingleton1_type, type, setunionsingleton1: $o). 12.52/2.38 thf(binintersect_type, type, binintersect: $i > $i > $i). 12.52/2.38 thf(sk__153_type, type, sk__153: $i). 12.52/2.38 thf(iftrueorfalse_type, type, iftrueorfalse: $o). 12.52/2.38 thf(emptysetsubset_type, type, emptysetsubset: $o). 12.52/2.38 thf(quantDeMorgan3_type, type, quantDeMorgan3: $o). 12.52/2.38 thf(cartprodpairsurjEq_type, type, cartprodpairsurjEq: $o). 12.52/2.38 thf(setOfPairsIsBReln_type, type, setOfPairsIsBReln: $o). 12.52/2.38 thf(setunionE_type, type, setunionE: $o). 12.52/2.38 thf(ksndsingleton_type, type, ksndsingleton: $o). 12.52/2.38 thf(setminusSubset1_type, type, setminusSubset1: $o). 12.52/2.38 thf(powersetT_lem_type, type, powersetT_lem: $o). 12.52/2.38 thf(emptyinunitempty_type, type, emptyinunitempty: $o). 12.52/2.38 thf(binunionIR_type, type, binunionIR: $o). 12.52/2.38 thf(theeq_type, type, theeq: $o). 12.52/2.38 thf(setadjoinE_type, type, setadjoinE: $o). 12.52/2.38 thf(doubleComplementSub1_type, type, doubleComplementSub1: $o). 12.52/2.38 thf(sk__154_type, type, sk__154: $i). 12.52/2.38 thf(infuncsetfunc_type, type, infuncsetfunc: $o). 12.52/2.38 thf(ap2apEq2_type, type, ap2apEq2: $o). 12.52/2.38 thf(ap2p_type, type, ap2p: $o). 12.52/2.38 thf(setadjoinIL_type, type, setadjoinIL: $o). 12.52/2.38 thf(cartprodsndpairEq_type, type, cartprodsndpairEq: $o). 12.52/2.38 thf(exuE1_type, type, exuE1: $o). 12.52/2.38 thf(ubforcartprodlem2_type, type, ubforcartprodlem2: $o). 12.52/2.38 thf(binintersectRsub_type, type, binintersectRsub: $o). 12.52/2.38 thf(setminusLsub_type, type, setminusLsub: $o). 12.52/2.38 thf(funcextLem_type, type, funcextLem: $o). 12.52/2.38 thf(setukpairinjR_type, type, setukpairinjR: $o). 12.52/2.38 thf(notinsingleton_type, type, notinsingleton: $o). 12.52/2.38 thf(eqimpsubset2_type, type, eqimpsubset2: $o). 12.52/2.38 thf(exuEu_type, type, exuEu: $o). 12.52/2.38 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o). 12.52/2.38 thf(upairsetE_type, type, upairsetE: $o). 12.52/2.38 thf(omega0Ax_type, type, omega0Ax: $o). 12.52/2.38 thf(subsetTI_type, type, subsetTI: $o). 12.52/2.38 thf(notsubsetI_type, type, notsubsetI: $o). 12.52/2.38 thf(contraSubsetComplement_type, type, contraSubsetComplement: $o). 12.52/2.38 thf(iffalseProp1_type, type, iffalseProp1: $o). 12.52/2.38 thf(quantDeMorgan4_type, type, quantDeMorgan4: $o). 12.52/2.38 thf(setextAx_type, type, setextAx: $o). 12.52/2.38 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o). 12.52/2.38 thf(cartprodpairmemER_type, type, cartprodpairmemER: $o). 12.52/2.38 thf(powersetE1_type, type, powersetE1: $o). 12.52/2.38 thf(bs114d_type, type, bs114d: $o). 12.52/2.38 thf(contrasubsetT3_type, type, contrasubsetT3: $o). 12.52/2.38 thf(noeltsimpempty_type, type, noeltsimpempty: $o). 12.52/2.38 thf(complementTcontraSubset_type, type, complementTcontraSubset: $o). 12.52/2.38 thf(ifp_type, type, ifp: $o). 12.52/2.38 thf(sk__151_type, type, sk__151: $i). 12.52/2.38 thf(inIntersectImpInUnion_type, type, inIntersectImpInUnion: $o). 12.52/2.38 thf(powersetTI1_type, type, powersetTI1: $o). 12.52/2.38 thf(binintersectLsub_type, type, binintersectLsub: $o). 12.52/2.38 thf(subsetI1_type, type, subsetI1: $o). 12.52/2.38 thf(symdiffE_type, type, symdiffE: $o). 12.52/2.38 thf(descrp_type, type, descrp: $o). 12.52/2.38 thf(dsetconstr__Cong_type, type, dsetconstr__Cong: $o). 12.52/2.38 thf(foundationAx_type, type, foundationAx: $o). 12.52/2.38 thf(emptysetAx_type, type, emptysetAx: $o). 12.52/2.38 thf(emptyI_type, type, emptyI: $o). 12.52/2.38 thf(setadjoinOr_type, type, setadjoinOr: $o). 12.52/2.38 thf(eta2_type, type, eta2: $o). 12.52/2.38 thf(binintersectEL_type, type, binintersectEL: $o). 12.52/2.38 thf(emptyE1_type, type, emptyE1: $o). 12.52/2.38 thf(emptyInPowerset_type, type, emptyInPowerset: $o). 12.52/2.38 thf(complementTI1_type, type, complementTI1: $o). 12.52/2.38 thf(sk__152_type, type, sk__152: $i). 12.52/2.38 thf(vacuousDall_type, type, vacuousDall: $o). 12.52/2.38 thf(dsetconstrER_type, type, dsetconstrER: $o). 12.52/2.38 thf(binintersectI_type, type, binintersectI: $o). 12.52/2.38 thf(funcext_type, type, funcext: $o). 12.52/2.38 thf(funcGraphProp4_type, type, funcGraphProp4: $o). 12.52/2.38 thf(cartprodpairin_type, type, cartprodpairin: $o). 12.52/2.38 thf(cartprodmempair1_type, type, cartprodmempair1: $o). 12.52/2.38 thf(brelnall2_type, type, brelnall2: $o). 12.52/2.38 thf(setextT_type, type, setextT: $o). 12.52/2.38 thf(ex1I2_type, type, ex1I2: $o). 12.52/2.38 thf(symdiffI1_type, type, symdiffI1: $o). 12.52/2.38 thf(setukpairinjR2_type, type, setukpairinjR2: $o). 12.52/2.38 thf(dpsetconstrEL2_type, type, dpsetconstrEL2: $o). 12.52/2.38 thf(theprop_type, type, theprop: $o). 12.52/2.38 thf(subsetI2_type, type, subsetI2: $o). 12.52/2.38 thf(complementInPowersetComplementIntersect_type, type, complementInPowersetComplementIntersect: 12.52/2.38 $o). 12.52/2.38 thf(setminusT_lem_type, type, setminusT_lem: $o). 12.52/2.38 thf(symdiffIneg1_type, type, symdiffIneg1: $o). 12.52/2.38 thf(setminusERneg_type, type, setminusERneg: $o). 12.52/2.38 thf(symdiffIneg2_type, type, symdiffIneg2: $o). 12.52/2.38 thf(omega__Cong_type, type, omega__Cong: $o). 12.52/2.38 thf(subsetRefl_type, type, subsetRefl: $o). 12.52/2.38 thf(uniqinunit_type, type, uniqinunit: $o). 12.52/2.38 thf(complementSubsetComplementIntersect_type, type, complementSubsetComplementIntersect: 12.52/2.38 $o). 12.52/2.38 thf(setminusSubset2_type, type, setminusSubset2: $o). 12.52/2.38 thf(prop2setE_type, type, prop2setE: $o). 12.52/2.38 thf(binunionEcases_type, type, binunionEcases: $o). 12.52/2.38 thf(funcinfuncset_type, type, funcinfuncset: $o). 12.52/2.38 thf(complementTE1_type, type, complementTE1: $o). 12.52/2.38 thf(nonemptyI_type, type, nonemptyI: $o). 12.52/2.38 thf(app_type, type, app: $o). 12.52/2.38 thf(disjointsetsI1_type, type, disjointsetsI1: $o). 12.52/2.38 thf(exuE3u_type, type, exuE3u: $o). 12.52/2.38 thf(eta1_type, type, eta1: $o). 12.52/2.38 thf(setminusEL_type, type, setminusEL: $o). 12.52/2.38 thf(cartprodfstin_type, type, cartprodfstin: $o). 12.52/2.38 thf(setunionsingleton2_type, type, setunionsingleton2: $o). 12.52/2.38 thf(sepSubset_type, type, sepSubset: $o). 12.52/2.38 thf(complementTnotintersectT_type, type, complementTnotintersectT: $o). 12.52/2.38 thf(upairset2E_type, type, upairset2E: $o). 12.52/2.38 thf(eqimpsubset1_type, type, eqimpsubset1: $o). 12.52/2.38 thf(exuI3_type, type, exuI3: $o). 12.52/2.38 thf(cartprodfstpairEq_type, type, cartprodfstpairEq: $o). 12.52/2.38 thf(apProp_type, type, apProp: $o). 12.52/2.38 thf(notdallE_type, type, notdallE: $o). 12.52/2.38 thf(iftrueProp1_type, type, iftrueProp1: $o). 12.52/2.38 thf(binintersectER_type, type, binintersectER: $o). 12.52/2.38 thf(brelnall1_type, type, brelnall1: $o). 12.52/2.38 thf(powerset_type, type, powerset: $i > $i). 12.52/2.38 thf(dsetconstrI_type, type, dsetconstrI: $o). 12.52/2.38 thf(funcGraphProp1_type, type, funcGraphProp1: $o). 12.52/2.38 thf(binintersectT_lem_type, type, binintersectT_lem: $o). 12.52/2.38 thf(setadjoin_type, type, setadjoin: $i > $i > $i). 12.52/2.38 thf(exu__Cong_type, type, exu__Cong: $o). 12.52/2.38 thf(quantDeMorgan2_type, type, quantDeMorgan2: $o). 12.52/2.38 thf(contrasubsetT2_type, type, contrasubsetT2: $o). 12.52/2.38 thf(secondinupair_type, type, secondinupair: $o). 12.52/2.38 thf(singletonprop_type, type, singletonprop: $o). 12.52/2.38 thf(singletonsubset_type, type, singletonsubset: $o). 12.52/2.38 thf(contrasubsetT1_type, type, contrasubsetT1: $o). 12.52/2.38 thf(singletoninpowerset_type, type, singletoninpowerset: $o). 12.52/2.38 thf(subsetemptysetimpeq_type, type, subsetemptysetimpeq: $o). 12.52/2.38 thf(replAx_type, type, replAx: $o). 12.52/2.38 thf(upairequniteq_type, type, upairequniteq: $o). 12.52/2.38 thf(nonemptyE1_type, type, nonemptyE1: $o). 12.52/2.38 thf(omegaIndAx_type, type, omegaIndAx: $o). 12.52/2.38 thf(setukpairIL_type, type, setukpairIL: $o). 12.52/2.38 thf(setunionE2_type, type, setunionE2: $o). 12.52/2.38 thf(inPowerset_type, type, inPowerset: $o). 12.52/2.38 thf(iffalse_type, type, iffalse: $o). 12.52/2.38 thf(funcext2_type, type, funcext2: $o). 12.52/2.38 thf(subset_type, type, subset: $i > $i > $o). 12.52/2.38 thf(subbreln_type, type, subbreln: $o). 12.52/2.38 thf(in__Cong_type, type, in__Cong: $o). 12.52/2.38 thf(binunionRsub_type, type, binunionRsub: $o). 12.52/2.38 thf(subset2powerset_type, type, subset2powerset: $o). 12.52/2.38 thf(inIntersectImpInUnion2, axiom, inIntersectImpInUnion2 = 12.52/2.38 (![A:$i,X:$i]: 12.52/2.38 ( ( in @ X @ ( powerset @ A ) ) => 12.52/2.38 ( ![Y:$i]: 12.52/2.38 ( ( in @ Y @ ( powerset @ A ) ) => 12.52/2.38 ( ![Z:$i]: 12.52/2.38 ( ( in @ Z @ ( powerset @ A ) ) => 12.52/2.38 ( ![Xx:$i]: 12.52/2.38 ( ( in @ Xx @ A ) => 12.52/2.38 ( ( in @ Xx @ ( binintersect @ X @ Y ) ) => 12.52/2.38 ( in @ Xx @ ( binunion @ Y @ Z ) ) ) ) ) ) ) ) ) ))). 12.52/2.38 thf('0', plain, 12.52/2.38 (( inIntersectImpInUnion2 ) = 12.52/2.38 ( ![X4:$i,X6:$i]: 12.52/2.38 ( ( in @ X6 @ ( powerset @ X4 ) ) => 12.52/2.38 ( ![X8:$i]: 12.52/2.38 ( ( in @ X8 @ ( powerset @ X4 ) ) => 12.52/2.38 ( ![X10:$i]: 12.52/2.38 ( ( in @ X10 @ ( powerset @ X4 ) ) => 12.52/2.38 ( ![X12:$i]: 12.52/2.38 ( ( in @ X12 @ X4 ) => 12.52/2.38 ( ( in @ X12 @ ( binintersect @ X6 @ X8 ) ) => 12.52/2.38 ( in @ X12 @ ( binunion @ X8 @ X10 ) ) ) ) ) ) ) ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(inIntersectImpInUnion, axiom, inIntersectImpInUnion = 12.52/2.38 (![A:$i,X:$i]: 12.52/2.38 ( ( in @ X @ ( powerset @ A ) ) => 12.52/2.38 ( ![Y:$i]: 12.52/2.38 ( ( in @ Y @ ( powerset @ A ) ) => 12.52/2.38 ( ![Z:$i]: 12.52/2.38 ( ( in @ Z @ ( powerset @ A ) ) => 12.52/2.38 ( ![Xx:$i]: 12.52/2.38 ( ( in @ Xx @ A ) => 12.52/2.38 ( ( in @ Xx @ ( binintersect @ X @ Y ) ) => 12.52/2.38 ( in @ Xx @ ( binunion @ X @ Z ) ) ) ) ) ) ) ) ) ))). 12.52/2.38 thf('1', plain, 12.52/2.38 (( inIntersectImpInUnion ) = 12.52/2.38 ( ![X4:$i,X6:$i]: 12.52/2.38 ( ( in @ X6 @ ( powerset @ X4 ) ) => 12.52/2.38 ( ![X8:$i]: 12.52/2.38 ( ( in @ X8 @ ( powerset @ X4 ) ) => 12.52/2.38 ( ![X10:$i]: 12.52/2.38 ( ( in @ X10 @ ( powerset @ X4 ) ) => 12.52/2.38 ( ![X12:$i]: 12.52/2.38 ( ( in @ X12 @ X4 ) => 12.52/2.38 ( ( in @ X12 @ ( binintersect @ X6 @ X8 ) ) => 12.52/2.38 ( in @ X12 @ ( binunion @ X6 @ X10 ) ) ) ) ) ) ) ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(binunionTIRcontra, axiom, binunionTIRcontra = 12.52/2.38 (![A:$i,X:$i]: 12.52/2.38 ( ( in @ X @ ( powerset @ A ) ) => 12.52/2.38 ( ![Y:$i]: 12.52/2.38 ( ( in @ Y @ ( powerset @ A ) ) => 12.52/2.38 ( ![Xx:$i]: 12.52/2.38 ( ( in @ Xx @ A ) => 12.52/2.38 ( ( ~( in @ Xx @ ( binunion @ X @ Y ) ) ) => 12.52/2.38 ( ~( in @ Xx @ Y ) ) ) ) ) ) ) ))). 12.52/2.38 thf('2', plain, 12.52/2.38 (( binunionTIRcontra ) = 12.52/2.38 ( ![X4:$i,X6:$i]: 12.52/2.38 ( ( in @ X6 @ ( powerset @ X4 ) ) => 12.52/2.38 ( ![X8:$i]: 12.52/2.38 ( ( in @ X8 @ ( powerset @ X4 ) ) => 12.52/2.38 ( ![X10:$i]: 12.52/2.38 ( ( in @ X10 @ X4 ) => 12.52/2.38 ( ( ~( in @ X10 @ ( binunion @ X6 @ X8 ) ) ) => 12.52/2.38 ( ~( in @ X10 @ X8 ) ) ) ) ) ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(binunionTILcontra, axiom, binunionTILcontra = 12.52/2.38 (![A:$i,X:$i]: 12.52/2.38 ( ( in @ X @ ( powerset @ A ) ) => 12.52/2.38 ( ![Y:$i]: 12.52/2.38 ( ( in @ Y @ ( powerset @ A ) ) => 12.52/2.38 ( ![Xx:$i]: 12.52/2.38 ( ( in @ Xx @ A ) => 12.52/2.38 ( ( ~( in @ Xx @ ( binunion @ X @ Y ) ) ) => 12.52/2.38 ( ~( in @ Xx @ X ) ) ) ) ) ) ) ))). 12.52/2.38 thf('3', plain, 12.52/2.38 (( binunionTILcontra ) = 12.52/2.38 ( ![X4:$i,X6:$i]: 12.52/2.38 ( ( in @ X6 @ ( powerset @ X4 ) ) => 12.52/2.38 ( ![X8:$i]: 12.52/2.38 ( ( in @ X8 @ ( powerset @ X4 ) ) => 12.52/2.38 ( ![X10:$i]: 12.52/2.38 ( ( in @ X10 @ X4 ) => 12.52/2.38 ( ( ~( in @ X10 @ ( binunion @ X6 @ X8 ) ) ) => 12.52/2.38 ( ~( in @ X10 @ X6 ) ) ) ) ) ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(complementInPowersetComplementIntersect, axiom, 12.52/2.38 complementInPowersetComplementIntersect = 12.52/2.38 (![A:$i,X:$i]: 12.52/2.38 ( ( in @ X @ ( powerset @ A ) ) => 12.52/2.38 ( ![Y:$i]: 12.52/2.38 ( ( in @ Y @ ( powerset @ A ) ) => 12.52/2.38 ( in @ 12.52/2.38 ( setminus @ A @ X ) @ 12.52/2.38 ( powerset @ ( setminus @ A @ ( binintersect @ X @ Y ) ) ) ) ) ) ))). 12.52/2.38 thf('4', plain, 12.52/2.38 (( complementInPowersetComplementIntersect ) = 12.52/2.38 ( ![X4:$i,X6:$i]: 12.52/2.38 ( ( in @ X6 @ ( powerset @ X4 ) ) => 12.52/2.38 ( ![X8:$i]: 12.52/2.38 ( ( in @ X8 @ ( powerset @ X4 ) ) => 12.52/2.38 ( in @ 12.52/2.38 ( setminus @ X4 @ X6 ) @ 12.52/2.38 ( powerset @ ( setminus @ X4 @ ( binintersect @ X6 @ X8 ) ) ) ) ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(complementSubsetComplementIntersect, axiom, 12.52/2.38 complementSubsetComplementIntersect = 12.52/2.38 (![A:$i,X:$i]: 12.52/2.38 ( ( in @ X @ ( powerset @ A ) ) => 12.52/2.38 ( ![Y:$i]: 12.52/2.38 ( ( in @ Y @ ( powerset @ A ) ) => 12.52/2.38 ( subset @ 12.52/2.38 ( setminus @ A @ X ) @ ( setminus @ A @ ( binintersect @ X @ Y ) ) ) ) ) ))). 12.52/2.38 thf('5', plain, 12.52/2.38 (( complementSubsetComplementIntersect ) = 12.52/2.38 ( ![X4:$i,X6:$i]: 12.52/2.38 ( ( in @ X6 @ ( powerset @ X4 ) ) => 12.52/2.38 ( ![X8:$i]: 12.52/2.38 ( ( in @ X8 @ ( powerset @ X4 ) ) => 12.52/2.38 ( subset @ 12.52/2.38 ( setminus @ X4 @ X6 ) @ 12.52/2.38 ( setminus @ X4 @ ( binintersect @ X6 @ X8 ) ) ) ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(complementImpComplementIntersect, axiom, 12.52/2.38 complementImpComplementIntersect = 12.52/2.38 (![A:$i,X:$i]: 12.52/2.38 ( ( in @ X @ ( powerset @ A ) ) => 12.52/2.38 ( ![Y:$i]: 12.52/2.38 ( ( in @ Y @ ( powerset @ A ) ) => 12.52/2.38 ( ![Xx:$i]: 12.52/2.38 ( ( in @ Xx @ A ) => 12.52/2.38 ( ( in @ Xx @ ( setminus @ A @ X ) ) => 12.52/2.38 ( in @ Xx @ ( setminus @ A @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ))). 12.52/2.38 thf('6', plain, 12.52/2.38 (( complementImpComplementIntersect ) = 12.52/2.38 ( ![X4:$i,X6:$i]: 12.52/2.38 ( ( in @ X6 @ ( powerset @ X4 ) ) => 12.52/2.38 ( ![X8:$i]: 12.52/2.38 ( ( in @ X8 @ ( powerset @ X4 ) ) => 12.52/2.38 ( ![X10:$i]: 12.52/2.38 ( ( in @ X10 @ X4 ) => 12.52/2.38 ( ( in @ X10 @ ( setminus @ X4 @ X6 ) ) => 12.52/2.38 ( in @ 12.52/2.38 X10 @ ( setminus @ X4 @ ( binintersect @ X6 @ X8 ) ) ) ) ) ) ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(complementTnotintersectT, axiom, complementTnotintersectT = 12.52/2.38 (![A:$i,X:$i]: 12.52/2.38 ( ( in @ X @ ( powerset @ A ) ) => 12.52/2.38 ( ![Y:$i]: 12.52/2.38 ( ( in @ Y @ ( powerset @ A ) ) => 12.52/2.38 ( ![Xx:$i]: 12.52/2.38 ( ( in @ Xx @ A ) => 12.52/2.38 ( ( in @ Xx @ ( setminus @ A @ X ) ) => 12.52/2.38 ( ~( in @ Xx @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ))). 12.52/2.38 thf('7', plain, 12.52/2.38 (( complementTnotintersectT ) = 12.52/2.38 ( ![X4:$i,X6:$i]: 12.52/2.38 ( ( in @ X6 @ ( powerset @ X4 ) ) => 12.52/2.38 ( ![X8:$i]: 12.52/2.38 ( ( in @ X8 @ ( powerset @ X4 ) ) => 12.52/2.38 ( ![X10:$i]: 12.52/2.38 ( ( in @ X10 @ X4 ) => 12.52/2.38 ( ( in @ X10 @ ( setminus @ X4 @ X6 ) ) => 12.52/2.38 ( ~( in @ X10 @ ( binintersect @ X6 @ X8 ) ) ) ) ) ) ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(binintersectTERcontra, axiom, binintersectTERcontra = 12.52/2.38 (![A:$i,X:$i]: 12.52/2.38 ( ( in @ X @ ( powerset @ A ) ) => 12.52/2.38 ( ![Y:$i]: 12.52/2.38 ( ( in @ Y @ ( powerset @ A ) ) => 12.52/2.38 ( ![Xx:$i]: 12.52/2.38 ( ( in @ Xx @ A ) => 12.52/2.38 ( ( ~( in @ Xx @ Y ) ) => 12.52/2.38 ( ~( in @ Xx @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ))). 12.52/2.38 thf('8', plain, 12.52/2.38 (( binintersectTERcontra ) = 12.52/2.38 ( ![X4:$i,X6:$i]: 12.52/2.38 ( ( in @ X6 @ ( powerset @ X4 ) ) => 12.52/2.38 ( ![X8:$i]: 12.52/2.38 ( ( in @ X8 @ ( powerset @ X4 ) ) => 12.52/2.38 ( ![X10:$i]: 12.52/2.38 ( ( in @ X10 @ X4 ) => 12.52/2.38 ( ( ~( in @ X10 @ X8 ) ) => 12.52/2.38 ( ~( in @ X10 @ ( binintersect @ X6 @ X8 ) ) ) ) ) ) ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(binintersectTELcontra, axiom, binintersectTELcontra = 12.52/2.38 (![A:$i,X:$i]: 12.52/2.38 ( ( in @ X @ ( powerset @ A ) ) => 12.52/2.38 ( ![Y:$i]: 12.52/2.38 ( ( in @ Y @ ( powerset @ A ) ) => 12.52/2.38 ( ![Xx:$i]: 12.52/2.38 ( ( in @ Xx @ A ) => 12.52/2.38 ( ( ~( in @ Xx @ X ) ) => 12.52/2.38 ( ~( in @ Xx @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ))). 12.52/2.38 thf('9', plain, 12.52/2.38 (( binintersectTELcontra ) = 12.52/2.38 ( ![X4:$i,X6:$i]: 12.52/2.38 ( ( in @ X6 @ ( powerset @ X4 ) ) => 12.52/2.38 ( ![X8:$i]: 12.52/2.38 ( ( in @ X8 @ ( powerset @ X4 ) ) => 12.52/2.38 ( ![X10:$i]: 12.52/2.38 ( ( in @ X10 @ X4 ) => 12.52/2.38 ( ( ~( in @ X10 @ X6 ) ) => 12.52/2.38 ( ~( in @ X10 @ ( binintersect @ X6 @ X8 ) ) ) ) ) ) ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(powersetTE1, axiom, powersetTE1 = 12.52/2.38 (![A:$i,X:$i]: 12.52/2.38 ( ( in @ X @ ( powerset @ A ) ) => 12.52/2.38 ( ![Y:$i]: 12.52/2.38 ( ( in @ Y @ ( powerset @ A ) ) => 12.52/2.38 ( ![Xx:$i]: 12.52/2.38 ( ( in @ Xx @ A ) => 12.52/2.38 ( ( in @ X @ ( powerset @ Y ) ) => 12.52/2.38 ( ( in @ Xx @ X ) => ( in @ Xx @ Y ) ) ) ) ) ) ) ))). 12.52/2.38 thf('10', plain, 12.52/2.38 (( powersetTE1 ) = 12.52/2.38 ( ![X4:$i,X6:$i]: 12.52/2.38 ( ( in @ X6 @ ( powerset @ X4 ) ) => 12.52/2.38 ( ![X8:$i]: 12.52/2.38 ( ( in @ X8 @ ( powerset @ X4 ) ) => 12.52/2.38 ( ![X10:$i]: 12.52/2.38 ( ( in @ X10 @ X4 ) => 12.52/2.38 ( ( in @ X6 @ ( powerset @ X8 ) ) => 12.52/2.38 ( ( in @ X10 @ X6 ) => ( in @ X10 @ X8 ) ) ) ) ) ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(powersetTI1, axiom, powersetTI1 = 12.52/2.38 (![A:$i,X:$i]: 12.52/2.38 ( ( in @ X @ ( powerset @ A ) ) => 12.52/2.38 ( ![Y:$i]: 12.52/2.38 ( ( in @ Y @ ( powerset @ A ) ) => 12.52/2.38 ( ( ![Xx:$i]: 12.52/2.38 ( ( in @ Xx @ A ) => ( ( in @ Xx @ X ) => ( in @ Xx @ Y ) ) ) ) => 12.52/2.38 ( in @ X @ ( powerset @ Y ) ) ) ) ) ))). 12.52/2.38 thf('11', plain, 12.52/2.38 (( powersetTI1 ) = 12.52/2.38 ( ![X4:$i,X6:$i]: 12.52/2.38 ( ( in @ X6 @ ( powerset @ X4 ) ) => 12.52/2.38 ( ![X8:$i]: 12.52/2.38 ( ( in @ X8 @ ( powerset @ X4 ) ) => 12.52/2.38 ( ( ![X10:$i]: 12.52/2.38 ( ( in @ X10 @ X4 ) => 12.52/2.38 ( ( in @ X10 @ X6 ) => ( in @ X10 @ X8 ) ) ) ) => 12.52/2.38 ( in @ X6 @ ( powerset @ X8 ) ) ) ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(setextT, axiom, setextT = 12.52/2.38 (![A:$i,X:$i]: 12.52/2.38 ( ( in @ X @ ( powerset @ A ) ) => 12.52/2.38 ( ![Y:$i]: 12.52/2.38 ( ( in @ Y @ ( powerset @ A ) ) => 12.52/2.38 ( ( ![Xx:$i]: 12.52/2.38 ( ( in @ Xx @ A ) => ( ( in @ Xx @ X ) => ( in @ Xx @ Y ) ) ) ) => 12.52/2.38 ( ( ![Xx:$i]: 12.52/2.38 ( ( in @ Xx @ A ) => ( ( in @ Xx @ Y ) => ( in @ Xx @ X ) ) ) ) => 12.52/2.38 ( ( X ) = ( Y ) ) ) ) ) ) ))). 12.52/2.38 thf('12', plain, 12.52/2.38 (( setextT ) = 12.52/2.38 ( ![X4:$i,X6:$i]: 12.52/2.38 ( ( in @ X6 @ ( powerset @ X4 ) ) => 12.52/2.38 ( ![X8:$i]: 12.52/2.38 ( ( in @ X8 @ ( powerset @ X4 ) ) => 12.52/2.38 ( ( ![X10:$i]: 12.52/2.38 ( ( in @ X10 @ X4 ) => 12.52/2.38 ( ( in @ X10 @ X6 ) => ( in @ X10 @ X8 ) ) ) ) => 12.52/2.38 ( ( ![X12:$i]: 12.52/2.38 ( ( in @ X12 @ X4 ) => 12.52/2.38 ( ( in @ X12 @ X8 ) => ( in @ X12 @ X6 ) ) ) ) => 12.52/2.38 ( ( X6 ) = ( X8 ) ) ) ) ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(powersetT_lem, axiom, powersetT_lem = 12.52/2.38 (![A:$i,X:$i]: 12.52/2.38 ( ( in @ X @ ( powerset @ A ) ) => 12.52/2.38 ( in @ ( powerset @ X ) @ ( powerset @ ( powerset @ A ) ) ) ))). 12.52/2.38 thf('13', plain, 12.52/2.38 (( powersetT_lem ) = 12.52/2.38 ( ![X4:$i,X6:$i]: 12.52/2.38 ( ( in @ X6 @ ( powerset @ X4 ) ) => 12.52/2.38 ( in @ ( powerset @ X6 ) @ ( powerset @ ( powerset @ X4 ) ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(binunionT_lem, axiom, binunionT_lem = 12.52/2.38 (![A:$i,X:$i]: 12.52/2.38 ( ( in @ X @ ( powerset @ A ) ) => 12.52/2.38 ( ![Y:$i]: 12.52/2.38 ( ( in @ Y @ ( powerset @ A ) ) => 12.52/2.38 ( in @ ( binunion @ X @ Y ) @ ( powerset @ A ) ) ) ) ))). 12.52/2.38 thf('14', plain, 12.52/2.38 (( binunionT_lem ) = 12.52/2.38 ( ![X4:$i,X6:$i]: 12.52/2.38 ( ( in @ X6 @ ( powerset @ X4 ) ) => 12.52/2.38 ( ![X8:$i]: 12.52/2.38 ( ( in @ X8 @ ( powerset @ X4 ) ) => 12.52/2.38 ( in @ ( binunion @ X6 @ X8 ) @ ( powerset @ X4 ) ) ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(binintersectT_lem, axiom, binintersectT_lem = 12.52/2.38 (![A:$i,X:$i]: 12.52/2.38 ( ( in @ X @ ( powerset @ A ) ) => 12.52/2.38 ( ![Y:$i]: 12.52/2.38 ( ( in @ Y @ ( powerset @ A ) ) => 12.52/2.38 ( in @ ( binintersect @ X @ Y ) @ ( powerset @ A ) ) ) ) ))). 12.52/2.38 thf('15', plain, 12.52/2.38 (( binintersectT_lem ) = 12.52/2.38 ( ![X4:$i,X6:$i]: 12.52/2.38 ( ( in @ X6 @ ( powerset @ X4 ) ) => 12.52/2.38 ( ![X8:$i]: 12.52/2.38 ( ( in @ X8 @ ( powerset @ X4 ) ) => 12.52/2.38 ( in @ ( binintersect @ X6 @ X8 ) @ ( powerset @ X4 ) ) ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(ubforcartprodlem3, axiom, ubforcartprodlem3 = 12.52/2.38 (![A:$i,B:$i,Xx:$i]: 12.52/2.38 ( ( in @ Xx @ A ) => 12.52/2.38 ( ![Xy:$i]: 12.52/2.38 ( ( in @ Xy @ B ) => 12.52/2.38 ( in @ 12.52/2.38 ( kpair @ Xx @ Xy ) @ 12.52/2.38 ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ))). 12.52/2.38 thf('16', plain, 12.52/2.38 (( ubforcartprodlem3 ) = 12.52/2.38 ( ![X4:$i,X6:$i,X8:$i]: 12.52/2.38 ( ( in @ X8 @ X4 ) => 12.52/2.38 ( ![X10:$i]: 12.52/2.38 ( ( in @ X10 @ X6 ) => 12.52/2.38 ( in @ 12.52/2.38 ( kpair @ X8 @ X10 ) @ 12.52/2.38 ( powerset @ ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(ubforcartprodlem2, axiom, ubforcartprodlem2 = 12.52/2.38 (![A:$i,B:$i,Xx:$i]: 12.52/2.38 ( ( in @ Xx @ A ) => 12.52/2.38 ( ![Xy:$i]: 12.52/2.38 ( ( in @ Xy @ B ) => 12.52/2.38 ( in @ 12.52/2.38 ( setadjoin @ 12.52/2.38 ( setadjoin @ Xx @ emptyset ) @ 12.52/2.38 ( setadjoin @ 12.52/2.38 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) @ 12.52/2.38 ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ))). 12.52/2.38 thf('17', plain, 12.52/2.38 (( ubforcartprodlem2 ) = 12.52/2.38 ( ![X4:$i,X6:$i,X8:$i]: 12.52/2.38 ( ( in @ X8 @ X4 ) => 12.52/2.38 ( ![X10:$i]: 12.52/2.38 ( ( in @ X10 @ X6 ) => 12.52/2.38 ( in @ 12.52/2.38 ( setadjoin @ 12.52/2.38 ( setadjoin @ X8 @ emptyset ) @ 12.52/2.38 ( setadjoin @ 12.52/2.38 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 12.52/2.38 emptyset ) ) @ 12.52/2.38 ( powerset @ ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(ubforcartprodlem1, axiom, ubforcartprodlem1 = 12.52/2.38 (![A:$i,B:$i,Xx:$i]: 12.52/2.38 ( ( in @ Xx @ A ) => 12.52/2.38 ( ![Xy:$i]: 12.52/2.38 ( ( in @ Xy @ B ) => 12.52/2.38 ( subset @ 12.52/2.38 ( setadjoin @ 12.52/2.38 ( setadjoin @ Xx @ emptyset ) @ 12.52/2.38 ( setadjoin @ 12.52/2.38 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) @ 12.52/2.38 ( powerset @ ( binunion @ A @ B ) ) ) ) ) ))). 12.52/2.38 thf('18', plain, 12.52/2.38 (( ubforcartprodlem1 ) = 12.52/2.38 ( ![X4:$i,X6:$i,X8:$i]: 12.52/2.38 ( ( in @ X8 @ X4 ) => 12.52/2.38 ( ![X10:$i]: 12.52/2.38 ( ( in @ X10 @ X6 ) => 12.52/2.38 ( subset @ 12.52/2.38 ( setadjoin @ 12.52/2.38 ( setadjoin @ X8 @ emptyset ) @ 12.52/2.38 ( setadjoin @ 12.52/2.38 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 12.52/2.38 emptyset ) ) @ 12.52/2.38 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(upairinpowunion, axiom, upairinpowunion = 12.52/2.38 (![A:$i,B:$i,Xx:$i]: 12.52/2.38 ( ( in @ Xx @ A ) => 12.52/2.38 ( ![Xy:$i]: 12.52/2.38 ( ( in @ Xy @ B ) => 12.52/2.38 ( in @ 12.52/2.38 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ 12.52/2.38 ( powerset @ ( binunion @ A @ B ) ) ) ) ) ))). 12.52/2.38 thf('19', plain, 12.52/2.38 (( upairinpowunion ) = 12.52/2.38 ( ![X4:$i,X6:$i,X8:$i]: 12.52/2.38 ( ( in @ X8 @ X4 ) => 12.52/2.38 ( ![X10:$i]: 12.52/2.38 ( ( in @ X10 @ X6 ) => 12.52/2.38 ( in @ 12.52/2.38 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 12.52/2.38 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(upairsubunion, axiom, upairsubunion = 12.52/2.38 (![A:$i,B:$i,Xx:$i]: 12.52/2.38 ( ( in @ Xx @ A ) => 12.52/2.38 ( ![Xy:$i]: 12.52/2.38 ( ( in @ Xy @ B ) => 12.52/2.38 ( subset @ 12.52/2.38 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ 12.52/2.38 ( binunion @ A @ B ) ) ) ) ))). 12.52/2.38 thf('20', plain, 12.52/2.38 (( upairsubunion ) = 12.52/2.38 ( ![X4:$i,X6:$i,X8:$i]: 12.52/2.38 ( ( in @ X8 @ X4 ) => 12.52/2.38 ( ![X10:$i]: 12.52/2.38 ( ( in @ X10 @ X6 ) => 12.52/2.38 ( subset @ 12.52/2.38 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 12.52/2.38 ( binunion @ X4 @ X6 ) ) ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(singletoninpowunion, axiom, singletoninpowunion = 12.52/2.38 (![A:$i,B:$i,Xx:$i]: 12.52/2.38 ( ( in @ Xx @ A ) => 12.52/2.38 ( in @ 12.52/2.38 ( setadjoin @ Xx @ emptyset ) @ ( powerset @ ( binunion @ A @ B ) ) ) ))). 12.52/2.38 thf('21', plain, 12.52/2.38 (( singletoninpowunion ) = 12.52/2.38 ( ![X4:$i,X6:$i,X8:$i]: 12.52/2.38 ( ( in @ X8 @ X4 ) => 12.52/2.38 ( in @ 12.52/2.38 ( setadjoin @ X8 @ emptyset ) @ 12.52/2.38 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(bs114d, axiom, bs114d = 12.52/2.38 (![A:$i,B:$i,C:$i]: 12.52/2.38 ( ( binintersect @ A @ ( binunion @ B @ C ) ) = 12.52/2.38 ( binunion @ ( binintersect @ A @ B ) @ ( binintersect @ A @ C ) ) ))). 12.52/2.38 thf('22', plain, 12.52/2.38 (( bs114d ) = 12.52/2.38 ( ![X4:$i,X6:$i,X8:$i]: 12.52/2.38 ( ( binintersect @ X4 @ ( binunion @ X6 @ X8 ) ) = 12.52/2.38 ( binunion @ ( binintersect @ X4 @ X6 ) @ ( binintersect @ X4 @ X8 ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(binintersectSubset1, axiom, binintersectSubset1 = 12.52/2.38 (![A:$i,B:$i]: 12.52/2.38 ( ( ( binintersect @ A @ B ) = ( A ) ) => ( subset @ A @ B ) ))). 12.52/2.38 thf('23', plain, 12.52/2.38 (( binintersectSubset1 ) = 12.52/2.38 ( ![X4:$i,X6:$i]: 12.52/2.38 ( ( ( binintersect @ X4 @ X6 ) = ( X4 ) ) => ( subset @ X4 @ X6 ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(binintersectSubset4, axiom, binintersectSubset4 = 12.52/2.38 (![A:$i,B:$i]: 12.52/2.38 ( ( subset @ B @ A ) => ( ( binintersect @ A @ B ) = ( B ) ) ))). 12.52/2.38 thf('24', plain, 12.52/2.38 (( binintersectSubset4 ) = 12.52/2.38 ( ![X4:$i,X6:$i]: 12.52/2.38 ( ( subset @ X6 @ X4 ) => ( ( binintersect @ X4 @ X6 ) = ( X6 ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(binintersectRsub, axiom, binintersectRsub = 12.52/2.38 (![A:$i,B:$i]: ( subset @ ( binintersect @ A @ B ) @ B ))). 12.52/2.38 thf('25', plain, 12.52/2.38 (( binintersectRsub ) = 12.52/2.38 ( ![X4:$i,X6:$i]: ( subset @ ( binintersect @ X4 @ X6 ) @ X6 ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(disjointsetsI1, axiom, disjointsetsI1 = 12.52/2.38 (![A:$i,B:$i]: 12.52/2.38 ( ( ~( ?[Xx:$i]: ( ( in @ Xx @ B ) & ( in @ Xx @ A ) ) ) ) => 12.52/2.38 ( ( binintersect @ A @ B ) = ( emptyset ) ) ))). 12.52/2.38 thf('26', plain, 12.52/2.38 (( disjointsetsI1 ) = 12.52/2.38 ( ![X4:$i,X6:$i]: 12.52/2.38 ( ( ~( ?[X8:$i]: ( ( in @ X8 @ X6 ) & ( in @ X8 @ X4 ) ) ) ) => 12.52/2.38 ( ( binintersect @ X4 @ X6 ) = ( emptyset ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(binintersectER, axiom, binintersectER = 12.52/2.38 (![A:$i,B:$i,Xx:$i]: 12.52/2.38 ( ( in @ Xx @ ( binintersect @ A @ B ) ) => ( in @ Xx @ B ) ))). 12.52/2.38 thf('27', plain, 12.52/2.38 (( binintersectER ) = 12.52/2.38 ( ![X4:$i,X6:$i,X8:$i]: 12.52/2.38 ( ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) => ( in @ X8 @ X6 ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(binintersectSubset3, axiom, binintersectSubset3 = 12.52/2.38 (![A:$i,B:$i]: 12.52/2.38 ( ( ( binintersect @ A @ B ) = ( B ) ) => ( subset @ B @ A ) ))). 12.52/2.38 thf('28', plain, 12.52/2.38 (( binintersectSubset3 ) = 12.52/2.38 ( ![X4:$i,X6:$i]: 12.52/2.38 ( ( ( binintersect @ X4 @ X6 ) = ( X6 ) ) => ( subset @ X6 @ X4 ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(binintersectSubset2, axiom, binintersectSubset2 = 12.52/2.38 (![A:$i,B:$i]: 12.52/2.38 ( ( subset @ A @ B ) => ( ( binintersect @ A @ B ) = ( A ) ) ))). 12.52/2.38 thf('29', plain, 12.52/2.38 (( binintersectSubset2 ) = 12.52/2.38 ( ![X4:$i,X6:$i]: 12.52/2.38 ( ( subset @ X4 @ X6 ) => ( ( binintersect @ X4 @ X6 ) = ( X4 ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(binintersectLsub, axiom, binintersectLsub = 12.52/2.38 (![A:$i,B:$i]: ( subset @ ( binintersect @ A @ B ) @ A ))). 12.52/2.38 thf('30', plain, 12.52/2.38 (( binintersectLsub ) = 12.52/2.38 ( ![X4:$i,X6:$i]: ( subset @ ( binintersect @ X4 @ X6 ) @ X4 ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(binintersectEL, axiom, binintersectEL = 12.52/2.38 (![A:$i,B:$i,Xx:$i]: 12.52/2.38 ( ( in @ Xx @ ( binintersect @ A @ B ) ) => ( in @ Xx @ A ) ))). 12.52/2.38 thf('31', plain, 12.52/2.38 (( binintersectEL ) = 12.52/2.38 ( ![X4:$i,X6:$i,X8:$i]: 12.52/2.38 ( ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) => ( in @ X8 @ X4 ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(binintersectSubset5, axiom, binintersectSubset5 = 12.52/2.38 (![A:$i,B:$i,C:$i]: 12.52/2.38 ( ( subset @ C @ A ) => 12.52/2.38 ( ( subset @ C @ B ) => ( subset @ C @ ( binintersect @ A @ B ) ) ) ))). 12.52/2.38 thf('32', plain, 12.52/2.38 (( binintersectSubset5 ) = 12.52/2.38 ( ![X4:$i,X6:$i,X8:$i]: 12.52/2.38 ( ( subset @ X8 @ X4 ) => 12.52/2.38 ( ( subset @ X8 @ X6 ) => 12.52/2.38 ( subset @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(binintersectI, axiom, binintersectI = 12.52/2.38 (![A:$i,B:$i,Xx:$i]: 12.52/2.38 ( ( in @ Xx @ A ) => 12.52/2.38 ( ( in @ Xx @ B ) => ( in @ Xx @ ( binintersect @ A @ B ) ) ) ))). 12.52/2.38 thf('33', plain, 12.52/2.38 (( binintersectI ) = 12.52/2.38 ( ![X4:$i,X6:$i,X8:$i]: 12.52/2.38 ( ( in @ X8 @ X4 ) => 12.52/2.38 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(binunionRsub, axiom, binunionRsub = 12.52/2.38 (![A:$i,B:$i]: ( subset @ B @ ( binunion @ A @ B ) ))). 12.52/2.38 thf('34', plain, 12.52/2.38 (( binunionRsub ) = 12.52/2.38 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( binunion @ X4 @ X6 ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(binunionLsub, axiom, binunionLsub = 12.52/2.38 (![A:$i,B:$i]: ( subset @ A @ ( binunion @ A @ B ) ))). 12.52/2.38 thf('35', plain, 12.52/2.38 (( binunionLsub ) = 12.52/2.38 ( ![X4:$i,X6:$i]: ( subset @ X4 @ ( binunion @ X4 @ X6 ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(binunionE, axiom, binunionE = 12.52/2.38 (![A:$i,B:$i,Xx:$i]: 12.52/2.38 ( ( in @ Xx @ ( binunion @ A @ B ) ) => 12.52/2.38 ( ( in @ Xx @ A ) | ( in @ Xx @ B ) ) ))). 12.52/2.38 thf('36', plain, 12.52/2.38 (( binunionE ) = 12.52/2.38 ( ![X4:$i,X6:$i,X8:$i]: 12.52/2.38 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) => 12.52/2.38 ( ( in @ X8 @ X4 ) | ( in @ X8 @ X6 ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(binunionEcases, axiom, binunionEcases = 12.52/2.38 (![A:$i,B:$i,Xx:$i,Xphi:$o]: 12.52/2.38 ( ( in @ Xx @ ( binunion @ A @ B ) ) => 12.52/2.38 ( ( ( in @ Xx @ A ) => ( Xphi ) ) => 12.52/2.38 ( ( ( in @ Xx @ B ) => ( Xphi ) ) => ( Xphi ) ) ) ))). 12.52/2.38 thf('37', plain, 12.52/2.38 (( binunionEcases ) = 12.52/2.38 ( ![X4:$i,X6:$i,X8:$i,X10:$o]: 12.52/2.38 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) => 12.52/2.38 ( ( ( in @ X8 @ X4 ) => ( X10 ) ) => 12.52/2.38 ( ( ( in @ X8 @ X6 ) => ( X10 ) ) => ( X10 ) ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(binunionIR, axiom, binunionIR = 12.52/2.38 (![A:$i,B:$i,Xx:$i]: 12.52/2.38 ( ( in @ Xx @ B ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))). 12.52/2.38 thf('38', plain, 12.52/2.38 (( binunionIR ) = 12.52/2.38 ( ![X4:$i,X6:$i,X8:$i]: 12.52/2.38 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(binunionIL, axiom, binunionIL = 12.52/2.38 (![A:$i,B:$i,Xx:$i]: 12.52/2.38 ( ( in @ Xx @ A ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))). 12.52/2.38 thf('39', plain, 12.52/2.38 (( binunionIL ) = 12.52/2.38 ( ![X4:$i,X6:$i,X8:$i]: 12.52/2.38 ( ( in @ X8 @ X4 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(inPowerset, axiom, inPowerset = (![A:$i]: ( in @ A @ ( powerset @ A ) ))). 12.52/2.38 thf('40', plain, 12.52/2.38 (( inPowerset ) = ( ![X4:$i]: ( in @ X4 @ ( powerset @ X4 ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(powerset__Cong, axiom, powerset__Cong = 12.52/2.38 (![A:$i,B:$i]: 12.52/2.38 ( ( ( A ) = ( B ) ) => ( ( powerset @ A ) = ( powerset @ B ) ) ))). 12.52/2.38 thf('41', plain, 12.52/2.38 (( powerset__Cong ) = 12.52/2.38 ( ![X4:$i,X6:$i]: 12.52/2.38 ( ( ( X4 ) = ( X6 ) ) => ( ( powerset @ X4 ) = ( powerset @ X6 ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(powersetE, axiom, powersetE = 12.52/2.38 (![A:$i,B:$i,Xx:$i]: 12.52/2.38 ( ( in @ B @ ( powerset @ A ) ) => ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ))). 12.52/2.38 thf('42', plain, 12.52/2.38 (( powersetE ) = 12.52/2.38 ( ![X4:$i,X6:$i,X8:$i]: 12.52/2.38 ( ( in @ X6 @ ( powerset @ X4 ) ) => 12.52/2.38 ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(emptyInPowerset, axiom, emptyInPowerset = 12.52/2.38 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 12.52/2.38 thf('43', plain, 12.52/2.38 (( emptyInPowerset ) = 12.52/2.38 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(emptyinPowerset, axiom, emptyinPowerset = 12.52/2.38 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 12.52/2.38 thf('44', plain, 12.52/2.38 (( emptyinPowerset ) = 12.52/2.38 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(powersetI, axiom, powersetI = 12.52/2.38 (![A:$i,B:$i]: 12.52/2.38 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) => 12.52/2.38 ( in @ B @ ( powerset @ A ) ) ))). 12.52/2.38 thf('45', plain, 12.52/2.38 (( powersetI ) = 12.52/2.38 ( ![X4:$i,X6:$i]: 12.52/2.38 ( ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) => 12.52/2.38 ( in @ X6 @ ( powerset @ X4 ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(powersetAx, axiom, powersetAx = 12.52/2.38 (![A:$i,B:$i]: 12.52/2.38 ( ( in @ B @ ( powerset @ A ) ) <=> 12.52/2.38 ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) ))). 12.52/2.38 thf('46', plain, 12.52/2.38 (( powersetAx ) = 12.52/2.38 ( ![X4:$i,X6:$i]: 12.52/2.38 ( ( in @ X6 @ ( powerset @ X4 ) ) <=> 12.52/2.38 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) )), 12.52/2.38 define([status(thm)])). 12.52/2.38 thf(inIntersectImpInIntersectUnions, conjecture, 12.52/2.38 (( setextAx ) => 12.52/2.38 ( ( emptysetAx ) => 12.52/2.38 ( ( setadjoinAx ) => 12.52/2.38 ( ( powersetAx ) => 12.52/2.38 ( ( setunionAx ) => 12.52/2.38 ( ( omega0Ax ) => 12.52/2.38 ( ( omegaSAx ) => 12.52/2.38 ( ( omegaIndAx ) => 12.52/2.38 ( ( replAx ) => 12.52/2.38 ( ( foundationAx ) => 12.52/2.38 ( ( wellorderingAx ) => 12.52/2.38 ( ( descrp ) => 12.52/2.38 ( ( dsetconstrI ) => 12.52/2.38 ( ( dsetconstrEL ) => 12.52/2.38 ( ( dsetconstrER ) => 12.52/2.38 ( ( exuE1 ) => 12.52/2.38 ( ( prop2setE ) => 12.52/2.38 ( ( emptysetE ) => 12.52/2.38 ( ( emptysetimpfalse ) => 12.52/2.38 ( ( notinemptyset ) => 12.52/2.38 ( ( exuE3e ) => 12.52/2.38 ( ( setext ) => 12.52/2.38 ( ( emptyI ) => 12.52/2.38 ( ( noeltsimpempty ) => 12.52/2.38 ( ( setbeta ) => 12.52/2.38 ( ( nonemptyE1 ) => 12.52/2.38 ( ( nonemptyI ) => 12.52/2.38 ( ( nonemptyI1 ) => 12.52/2.38 ( ( setadjoinIL ) => 12.52/2.38 ( ( emptyinunitempty ) => 12.52/2.38 ( ( setadjoinIR ) => 12.52/2.38 ( ( setadjoinE ) => 12.52/2.38 ( ( 12.52/2.38 setadjoinOr ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setoftrueEq ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 powersetI ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 emptyinPowerset ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 emptyInPowerset ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 powersetE ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setunionI ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setunionE ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 subPowSU ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 exuE2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 nonemptyImpWitness ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 uniqinunit ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 notinsingleton ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 eqinunit ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 singletonsswitch ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 upairsetE ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 upairsetIL ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 upairsetIR ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 emptyE1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 vacuousDall ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 quantDeMorgan1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 quantDeMorgan2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 quantDeMorgan3 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 quantDeMorgan4 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 prop2setI ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 prop2set2propI ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 notdexE ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 notdallE ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 exuI1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 exuI3 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 exuI2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 inCongP ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in__Cong ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 exuE3u ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 exu__Cong ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 emptyset__Cong ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setadjoin__Cong ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 powerset__Cong ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setunion__Cong ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 omega__Cong ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 exuEu ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 descr__Cong ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 dsetconstr__Cong ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 subsetI1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 eqimpsubset2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 eqimpsubset1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 subsetI2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 emptysetsubset ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 subsetE ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 subsetE2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 notsubsetI ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 notequalI1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 notequalI2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 subsetRefl ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 subsetTrans ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setadjoinSub ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setadjoinSub2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 subset2powerset ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setextsub ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 subsetemptysetimpeq ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 powersetI1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 powersetE1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 inPowerset ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 powersetsubset ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 sepInPowerset ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 sepSubset ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 binunionIL ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 upairset2IR ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 binunionIR ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 binunionEcases ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 binunionE ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 binunionLsub ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 binunionRsub ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 binintersectI ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 binintersectSubset5 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 binintersectEL ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 binintersectLsub ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 binintersectSubset2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 binintersectSubset3 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 binintersectER ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 disjointsetsI1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 binintersectRsub ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 binintersectSubset4 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 binintersectSubset1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 bs114d ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setminusI ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setminusEL ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setminusER ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setminusSubset2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setminusERneg ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setminusELneg ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setminusILneg ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setminusIRneg ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setminusLsub ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setminusSubset1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 symdiffE ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 symdiffI1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 symdiffI2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 symdiffIneg1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 symdiffIneg2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 secondinupair ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setukpairIL ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setukpairIR ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 kpairiskpair ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 kpairp ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 singletonsubset ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 singletoninpowerset ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 singletoninpowunion ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 upairset2E ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 upairsubunion ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 upairinpowunion ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ubforcartprodlem1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ubforcartprodlem2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ubforcartprodlem3 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 cartprodpairin ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 cartprodmempair1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 cartprodmempair ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setunionE2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setunionsingleton1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setunionsingleton2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setunionsingleton ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 singletonprop ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ex1E1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ex1I ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ex1I2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 singletonsuniq ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setukpairinjL1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 kfstsingleton ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 theprop ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 kfstpairEq ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 cartprodfstin ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setukpairinjL2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setukpairinjL ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setukpairinjR11 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setukpairinjR12 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setukpairinjR1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 upairequniteq ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setukpairinjR2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setukpairinjR ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ksndsingleton ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ksndpairEq ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 kpairsurjEq ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 cartprodsndin ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 cartprodpairmemEL ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 cartprodpairmemER ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 cartprodmempaircEq ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 cartprodfstpairEq ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 cartprodsndpairEq ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 cartprodpairsurjEq ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 dpsetconstrI ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 dpsetconstrSub ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setOfPairsIsBReln ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 dpsetconstrERa ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 dpsetconstrEL1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 dpsetconstrEL2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 dpsetconstrER ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 funcImageSingleton ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 apProp ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 app ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 infuncsetfunc ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ap2p ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 funcinfuncset ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 lamProp ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 lamp ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 lam2p ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 brelnall1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 brelnall2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ex1E2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 funcGraphProp1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 funcGraphProp3 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 funcGraphProp2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 funcextLem ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 funcGraphProp4 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 subbreln ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 eqbreln ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 funcext ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 funcext2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ap2apEq1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ap2apEq2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 beta1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 eta1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 lam2lamEq ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 beta2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 eta2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 iffalseProp1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 iffalseProp2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 iftrueProp1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 iftrueProp2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ifSingleton ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ifp ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 theeq ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 iftrue ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 iffalse ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 iftrueorfalse ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 binintersectT_lem ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 binunionT_lem ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 powersetT_lem ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setminusT_lem ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 complementT_lem ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setextT ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 subsetTI ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 powersetTI1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 powersetTE1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 complementTI1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 complementTE1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 binintersectTELcontra ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 binintersectTERcontra ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 contrasubsetT ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 contrasubsetT1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 contrasubsetT2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 contrasubsetT3 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 doubleComplementI1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 doubleComplementE1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 doubleComplementSub1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 doubleComplementSub2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 doubleComplementEq ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 complementTnotintersectT ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 complementImpComplementIntersect ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 complementSubsetComplementIntersect ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 complementInPowersetComplementIntersect ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 contraSubsetComplement ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 complementTcontraSubset ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 binunionTILcontra ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 binunionTIRcontra ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 inIntersectImpInUnion ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 inIntersectImpInUnion2 ) => 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 A:$i,X:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X @ 12.52/2.38 ( 12.52/2.38 powerset @ 12.52/2.38 A ) ) => 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 Y:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 Y @ 12.52/2.38 ( 12.52/2.38 powerset @ 12.52/2.38 A ) ) => 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 Z:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 Z @ 12.52/2.38 ( 12.52/2.38 powerset @ 12.52/2.38 A ) ) => 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 Xx:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 Xx @ A ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 Xx @ 12.52/2.38 ( 12.52/2.38 binintersect 12.52/2.38 @ 12.52/2.38 X @ Y ) ) => 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 Xx @ 12.52/2.38 ( 12.52/2.38 binintersect 12.52/2.38 @ 12.52/2.38 ( 12.52/2.38 binunion @ 12.52/2.38 X @ Z ) @ 12.52/2.38 ( 12.52/2.38 binunion @ 12.52/2.38 Y @ Z ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 12.52/2.38 thf(zf_stmt_0, conjecture, 12.52/2.38 (( setextAx ) => 12.52/2.38 ( ( emptysetAx ) => 12.52/2.38 ( ( setadjoinAx ) => 12.52/2.38 ( ( ![X4:$i,X6:$i]: 12.52/2.38 ( ( in @ X6 @ ( powerset @ X4 ) ) <=> 12.52/2.38 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) ) => 12.52/2.38 ( ( setunionAx ) => 12.52/2.38 ( ( omega0Ax ) => 12.52/2.38 ( ( omegaSAx ) => 12.52/2.38 ( ( omegaIndAx ) => 12.52/2.38 ( ( replAx ) => 12.52/2.38 ( ( foundationAx ) => 12.52/2.38 ( ( wellorderingAx ) => 12.52/2.38 ( ( descrp ) => 12.52/2.38 ( ( dsetconstrI ) => 12.52/2.38 ( ( dsetconstrEL ) => 12.52/2.38 ( ( dsetconstrER ) => 12.52/2.38 ( ( exuE1 ) => 12.52/2.38 ( ( prop2setE ) => 12.52/2.38 ( ( emptysetE ) => 12.52/2.38 ( ( emptysetimpfalse ) => 12.52/2.38 ( ( notinemptyset ) => 12.52/2.38 ( ( exuE3e ) => 12.52/2.38 ( ( setext ) => 12.52/2.38 ( ( emptyI ) => 12.52/2.38 ( ( noeltsimpempty ) => 12.52/2.38 ( ( setbeta ) => 12.52/2.38 ( ( nonemptyE1 ) => 12.52/2.38 ( ( nonemptyI ) => 12.52/2.38 ( ( nonemptyI1 ) => 12.52/2.38 ( ( setadjoinIL ) => 12.52/2.38 ( ( emptyinunitempty ) => 12.52/2.38 ( ( setadjoinIR ) => 12.52/2.38 ( ( setadjoinE ) => 12.52/2.38 ( ( 12.52/2.38 setadjoinOr ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setoftrueEq ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X10:$i, 12.52/2.38 X12:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X14:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X14 @ X12 ) => 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X14 @ X10 ) ) ) => 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X12 @ 12.52/2.38 ( 12.52/2.38 powerset @ 12.52/2.38 X10 ) ) ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X16:$i]: 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 emptyset @ 12.52/2.38 ( 12.52/2.38 powerset @ 12.52/2.38 X16 ) ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X18:$i]: 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 emptyset @ 12.52/2.38 ( 12.52/2.38 powerset @ 12.52/2.38 X18 ) ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X20:$i, 12.52/2.38 X22:$i, 12.52/2.38 X24:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X22 @ 12.52/2.38 ( 12.52/2.38 powerset @ 12.52/2.38 X20 ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X24 @ X22 ) => 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X24 @ X20 ) ) ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setunionI ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setunionE ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 subPowSU ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 exuE2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 nonemptyImpWitness ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 uniqinunit ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 notinsingleton ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 eqinunit ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 singletonsswitch ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 upairsetE ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 upairsetIL ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 upairsetIR ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 emptyE1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 vacuousDall ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 quantDeMorgan1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 quantDeMorgan2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 quantDeMorgan3 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 quantDeMorgan4 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 prop2setI ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 prop2set2propI ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 notdexE ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 notdallE ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 exuI1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 exuI3 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 exuI2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 inCongP ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in__Cong ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 exuE3u ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 exu__Cong ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 emptyset__Cong ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setadjoin__Cong ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X26:$i, 12.52/2.38 X28:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 X26 ) = 12.52/2.38 ( 12.52/2.38 X28 ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 powerset @ 12.52/2.38 X26 ) = 12.52/2.38 ( 12.52/2.38 powerset @ 12.52/2.38 X28 ) ) ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setunion__Cong ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 omega__Cong ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 exuEu ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 descr__Cong ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 dsetconstr__Cong ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 subsetI1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 eqimpsubset2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 eqimpsubset1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 subsetI2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 emptysetsubset ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 subsetE ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 subsetE2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 notsubsetI ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 notequalI1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 notequalI2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 subsetRefl ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 subsetTrans ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setadjoinSub ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setadjoinSub2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 subset2powerset ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setextsub ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 subsetemptysetimpeq ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 powersetI1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 powersetE1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X30:$i]: 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X30 @ 12.52/2.38 ( 12.52/2.38 powerset @ 12.52/2.38 X30 ) ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 powersetsubset ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 sepInPowerset ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 sepSubset ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X32:$i, 12.52/2.38 X34:$i, 12.52/2.38 X36:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X36 @ X32 ) => 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X36 @ 12.52/2.38 ( 12.52/2.38 binunion @ 12.52/2.38 X32 @ X34 ) ) ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 upairset2IR ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X38:$i, 12.52/2.38 X40:$i, 12.52/2.38 X42:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X42 @ X40 ) => 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X42 @ 12.52/2.38 ( 12.52/2.38 binunion @ 12.52/2.38 X38 @ X40 ) ) ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X44:$i, 12.52/2.38 X46:$i, 12.52/2.38 X48:$i, 12.52/2.38 X50:$o]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X48 @ 12.52/2.38 ( 12.52/2.38 binunion @ 12.52/2.38 X44 @ X46 ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X48 @ X44 ) => 12.52/2.38 ( 12.52/2.38 X50 ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X48 @ X46 ) => 12.52/2.38 ( 12.52/2.38 X50 ) ) => 12.52/2.38 ( 12.52/2.38 X50 ) ) ) ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X52:$i, 12.52/2.38 X54:$i, 12.52/2.38 X56:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X56 @ 12.52/2.38 ( 12.52/2.38 binunion @ 12.52/2.38 X52 @ X54 ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X56 @ X54 ) | 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X56 @ X52 ) ) ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X58:$i, 12.52/2.38 X60:$i]: 12.52/2.38 ( 12.52/2.38 subset @ 12.52/2.38 X58 @ 12.52/2.38 ( 12.52/2.38 binunion @ 12.52/2.38 X58 @ X60 ) ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X62:$i, 12.52/2.38 X64:$i]: 12.52/2.38 ( 12.52/2.38 subset @ 12.52/2.38 X64 @ 12.52/2.38 ( 12.52/2.38 binunion @ 12.52/2.38 X62 @ X64 ) ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X66:$i, 12.52/2.38 X68:$i, 12.52/2.38 X70:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X70 @ X66 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X70 @ X68 ) => 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X70 @ 12.52/2.38 ( 12.52/2.38 binintersect 12.52/2.38 @ 12.52/2.38 X66 @ X68 ) ) ) ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X72:$i, 12.52/2.38 X74:$i, 12.52/2.38 X76:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 subset @ 12.52/2.38 X76 @ X72 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 subset @ 12.52/2.38 X76 @ X74 ) => 12.52/2.38 ( 12.52/2.38 subset @ 12.52/2.38 X76 @ 12.52/2.38 ( 12.52/2.38 binintersect 12.52/2.38 @ 12.52/2.38 X72 @ X74 ) ) ) ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X78:$i, 12.52/2.38 X80:$i, 12.52/2.38 X82:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X82 @ 12.52/2.38 ( 12.52/2.38 binintersect 12.52/2.38 @ 12.52/2.38 X78 @ X80 ) ) => 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X82 @ X78 ) ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X84:$i, 12.52/2.38 X86:$i]: 12.52/2.38 ( 12.52/2.38 subset @ 12.52/2.38 ( 12.52/2.38 binintersect 12.52/2.38 @ 12.52/2.38 X84 @ X86 ) @ 12.52/2.38 X84 ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X88:$i, 12.52/2.38 X90:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 subset @ 12.52/2.38 X88 @ X90 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 binintersect 12.52/2.38 @ 12.52/2.38 X88 @ X90 ) = 12.52/2.38 ( 12.52/2.38 X88 ) ) ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X92:$i, 12.52/2.38 X94:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 binintersect 12.52/2.38 @ 12.52/2.38 X92 @ X94 ) = 12.52/2.38 ( 12.52/2.38 X94 ) ) => 12.52/2.38 ( 12.52/2.38 subset @ 12.52/2.38 X94 @ X92 ) ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X96:$i, 12.52/2.38 X98:$i, 12.52/2.38 X100:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X100 @ 12.52/2.38 ( 12.52/2.38 binintersect 12.52/2.38 @ 12.52/2.38 X96 @ X98 ) ) => 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X100 @ X98 ) ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X102:$i, 12.52/2.38 X104:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ~( 12.52/2.38 ?[ 12.52/2.38 X106:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X106 @ 12.52/2.38 X102 ) & 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X106 @ 12.52/2.38 X104 ) ) ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 binintersect 12.52/2.38 @ 12.52/2.38 X102 @ 12.52/2.38 X104 ) = 12.52/2.38 ( 12.52/2.38 emptyset ) ) ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X108:$i, 12.52/2.38 X110:$i]: 12.52/2.38 ( 12.52/2.38 subset @ 12.52/2.38 ( 12.52/2.38 binintersect 12.52/2.38 @ 12.52/2.38 X108 @ 12.52/2.38 X110 ) @ 12.52/2.38 X110 ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X112:$i, 12.52/2.38 X114:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 subset @ 12.52/2.38 X114 @ 12.52/2.38 X112 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 binintersect 12.52/2.38 @ 12.52/2.38 X112 @ 12.52/2.38 X114 ) = 12.52/2.38 ( 12.52/2.38 X114 ) ) ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X116:$i, 12.52/2.38 X118:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 binintersect 12.52/2.38 @ 12.52/2.38 X116 @ 12.52/2.38 X118 ) = 12.52/2.38 ( 12.52/2.38 X116 ) ) => 12.52/2.38 ( 12.52/2.38 subset @ 12.52/2.38 X116 @ 12.52/2.38 X118 ) ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X120:$i, 12.52/2.38 X122:$i, 12.52/2.38 X124:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 binintersect 12.52/2.38 @ 12.52/2.38 X120 @ 12.52/2.38 ( 12.52/2.38 binunion @ 12.52/2.38 X122 @ 12.52/2.38 X124 ) ) = 12.52/2.38 ( 12.52/2.38 binunion @ 12.52/2.38 ( 12.52/2.38 binintersect 12.52/2.38 @ 12.52/2.38 X120 @ 12.52/2.38 X122 ) @ 12.52/2.38 ( 12.52/2.38 binintersect 12.52/2.38 @ 12.52/2.38 X120 @ 12.52/2.38 X124 ) ) ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setminusI ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setminusEL ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setminusER ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setminusSubset2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setminusERneg ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setminusELneg ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setminusILneg ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setminusIRneg ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setminusLsub ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setminusSubset1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 symdiffE ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 symdiffI1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 symdiffI2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 symdiffIneg1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 symdiffIneg2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 secondinupair ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setukpairIL ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setukpairIR ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 kpairiskpair ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 kpairp ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 singletonsubset ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 singletoninpowerset ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X126:$i, 12.52/2.38 X128:$i, 12.52/2.38 X130:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X130 @ 12.52/2.38 X126 ) => 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 ( 12.52/2.38 setadjoin 12.52/2.38 @ 12.52/2.38 X130 @ 12.52/2.38 emptyset ) @ 12.52/2.38 ( 12.52/2.38 powerset @ 12.52/2.38 ( 12.52/2.38 binunion @ 12.52/2.38 X126 @ 12.52/2.38 X128 ) ) ) ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 upairset2E ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X132:$i, 12.52/2.38 X134:$i, 12.52/2.38 X136:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X136 @ 12.52/2.38 X132 ) => 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X138:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X138 @ 12.52/2.38 X134 ) => 12.52/2.38 ( 12.52/2.38 subset @ 12.52/2.38 ( 12.52/2.38 setadjoin 12.52/2.38 @ 12.52/2.38 X136 @ 12.52/2.38 ( 12.52/2.38 setadjoin 12.52/2.38 @ 12.52/2.38 X138 @ 12.52/2.38 emptyset ) ) @ 12.52/2.38 ( 12.52/2.38 binunion @ 12.52/2.38 X132 @ 12.52/2.38 X134 ) ) ) ) ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X140:$i, 12.52/2.38 X142:$i, 12.52/2.38 X144:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X144 @ 12.52/2.38 X140 ) => 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X146:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X146 @ 12.52/2.38 X142 ) => 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 ( 12.52/2.38 setadjoin 12.52/2.38 @ 12.52/2.38 X144 @ 12.52/2.38 ( 12.52/2.38 setadjoin 12.52/2.38 @ 12.52/2.38 X146 @ 12.52/2.38 emptyset ) ) @ 12.52/2.38 ( 12.52/2.38 powerset @ 12.52/2.38 ( 12.52/2.38 binunion @ 12.52/2.38 X140 @ 12.52/2.38 X142 ) ) ) ) ) ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X148:$i, 12.52/2.38 X150:$i, 12.52/2.38 X152:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X152 @ 12.52/2.38 X148 ) => 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X154:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X154 @ 12.52/2.38 X150 ) => 12.52/2.38 ( 12.52/2.38 subset @ 12.52/2.38 ( 12.52/2.38 setadjoin 12.52/2.38 @ 12.52/2.38 ( 12.52/2.38 setadjoin 12.52/2.38 @ 12.52/2.38 X152 @ 12.52/2.38 emptyset ) @ 12.52/2.38 ( 12.52/2.38 setadjoin 12.52/2.38 @ 12.52/2.38 ( 12.52/2.38 setadjoin 12.52/2.38 @ 12.52/2.38 X152 @ 12.52/2.38 ( 12.52/2.38 setadjoin 12.52/2.38 @ 12.52/2.38 X154 @ 12.52/2.38 emptyset ) ) @ 12.52/2.38 emptyset ) ) @ 12.52/2.38 ( 12.52/2.38 powerset @ 12.52/2.38 ( 12.52/2.38 binunion @ 12.52/2.38 X148 @ 12.52/2.38 X150 ) ) ) ) ) ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X156:$i, 12.52/2.38 X158:$i, 12.52/2.38 X160:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X160 @ 12.52/2.38 X156 ) => 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X162:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X162 @ 12.52/2.38 X158 ) => 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 ( 12.52/2.38 setadjoin 12.52/2.38 @ 12.52/2.38 ( 12.52/2.38 setadjoin 12.52/2.38 @ 12.52/2.38 X160 @ 12.52/2.38 emptyset ) @ 12.52/2.38 ( 12.52/2.38 setadjoin 12.52/2.38 @ 12.52/2.38 ( 12.52/2.38 setadjoin 12.52/2.38 @ 12.52/2.38 X160 @ 12.52/2.38 ( 12.52/2.38 setadjoin 12.52/2.38 @ 12.52/2.38 X162 @ 12.52/2.38 emptyset ) ) @ 12.52/2.38 emptyset ) ) @ 12.52/2.38 ( 12.52/2.38 powerset @ 12.52/2.38 ( 12.52/2.38 powerset @ 12.52/2.38 ( 12.52/2.38 binunion @ 12.52/2.38 X156 @ 12.52/2.38 X158 ) ) ) ) ) ) ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X164:$i, 12.52/2.38 X166:$i, 12.52/2.38 X168:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X168 @ 12.52/2.38 X164 ) => 12.52/2.38 ( 12.52/2.38 ![ 12.52/2.38 X170:$i]: 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 X170 @ 12.52/2.38 X166 ) => 12.52/2.38 ( 12.52/2.38 in @ 12.52/2.38 ( 12.52/2.38 kpair @ 12.52/2.38 X168 @ 12.52/2.38 X170 ) @ 12.52/2.38 ( 12.52/2.38 powerset @ 12.52/2.38 ( 12.52/2.38 powerset @ 12.52/2.38 ( 12.52/2.38 binunion @ 12.52/2.38 X164 @ 12.52/2.38 X166 ) ) ) ) ) ) ) ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 cartprodpairin ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 cartprodmempair1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 cartprodmempair ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setunionE2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setunionsingleton1 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setunionsingleton2 ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 setunionsingleton ) => 12.52/2.38 ( 12.52/2.38 ( 12.52/2.38 singletonprop ) => 12.52/2.38 ( 12.52/2.39 ( 12.52/2.39 ex1E1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ex1I ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ex1I2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 singletonsuniq ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setukpairinjL1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 kfstsingleton ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 theprop ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 kfstpairEq ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 cartprodfstin ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setukpairinjL2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setukpairinjL ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setukpairinjR11 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setukpairinjR12 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setukpairinjR1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 upairequniteq ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setukpairinjR2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setukpairinjR ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ksndsingleton ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ksndpairEq ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 kpairsurjEq ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 cartprodsndin ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 cartprodpairmemEL ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 cartprodpairmemER ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 cartprodmempaircEq ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 cartprodfstpairEq ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 cartprodsndpairEq ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 cartprodpairsurjEq ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 dpsetconstrI ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 dpsetconstrSub ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setOfPairsIsBReln ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 dpsetconstrERa ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 dpsetconstrEL1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 dpsetconstrEL2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 dpsetconstrER ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 funcImageSingleton ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 apProp ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 app ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 infuncsetfunc ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ap2p ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 funcinfuncset ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 lamProp ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 lamp ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 lam2p ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 brelnall1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 brelnall2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ex1E2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 funcGraphProp1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 funcGraphProp3 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 funcGraphProp2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 funcextLem ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 funcGraphProp4 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 subbreln ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 eqbreln ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 funcext ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 funcext2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ap2apEq1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ap2apEq2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 beta1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 eta1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 lam2lamEq ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 beta2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 eta2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 iffalseProp1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 iffalseProp2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 iftrueProp1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 iftrueProp2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ifSingleton ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ifp ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 theeq ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 iftrue ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 iffalse ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 iftrueorfalse ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X172:$i, 12.52/2.39 X174:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X174 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X172 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X176:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X176 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X172 ) ) => 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 ( 12.52/2.39 binintersect 12.52/2.39 @ 12.52/2.39 X174 @ 12.52/2.39 X176 ) @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X172 ) ) ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X178:$i, 12.52/2.39 X180:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X180 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X178 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X182:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X182 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X178 ) ) => 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 ( 12.52/2.39 binunion @ 12.52/2.39 X180 @ 12.52/2.39 X182 ) @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X178 ) ) ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X184:$i, 12.52/2.39 X186:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X186 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X184 ) ) => 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X186 ) @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X184 ) ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setminusT_lem ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 complementT_lem ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X188:$i, 12.52/2.39 X190:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X190 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X188 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X192:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X192 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X188 ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X194:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X194 @ 12.52/2.39 X188 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X194 @ 12.52/2.39 X190 ) => 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X194 @ 12.52/2.39 X192 ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X196:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X196 @ 12.52/2.39 X188 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X196 @ 12.52/2.39 X192 ) => 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X196 @ 12.52/2.39 X190 ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 X190 ) = 12.52/2.39 ( 12.52/2.39 X192 ) ) ) ) ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 subsetTI ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X198:$i, 12.52/2.39 X200:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X200 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X198 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X202:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X202 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X198 ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X204:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X204 @ 12.52/2.39 X198 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X204 @ 12.52/2.39 X200 ) => 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X204 @ 12.52/2.39 X202 ) ) ) ) => 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X200 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X202 ) ) ) ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X206:$i, 12.52/2.39 X208:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X208 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X206 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X210:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X210 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X206 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X212:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X212 @ 12.52/2.39 X206 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X208 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X210 ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X212 @ 12.52/2.39 X208 ) => 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X212 @ 12.52/2.39 X210 ) ) ) ) ) ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 complementTI1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 complementTE1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X214:$i, 12.52/2.39 X216:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X216 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X214 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X218:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X218 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X214 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X220:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X220 @ 12.52/2.39 X214 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ~( 12.52/2.39 in @ 12.52/2.39 X220 @ 12.52/2.39 X216 ) ) => 12.52/2.39 ( 12.52/2.39 ~( 12.52/2.39 in @ 12.52/2.39 X220 @ 12.52/2.39 ( 12.52/2.39 binintersect 12.52/2.39 @ 12.52/2.39 X216 @ 12.52/2.39 X218 ) ) ) ) ) ) ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X222:$i, 12.52/2.39 X224:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X224 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X222 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X226:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X226 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X222 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X228:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X228 @ 12.52/2.39 X222 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ~( 12.52/2.39 in @ 12.52/2.39 X228 @ 12.52/2.39 X226 ) ) => 12.52/2.39 ( 12.52/2.39 ~( 12.52/2.39 in @ 12.52/2.39 X228 @ 12.52/2.39 ( 12.52/2.39 binintersect 12.52/2.39 @ 12.52/2.39 X224 @ 12.52/2.39 X226 ) ) ) ) ) ) ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 contrasubsetT ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 contrasubsetT1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 contrasubsetT2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 contrasubsetT3 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 doubleComplementI1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 doubleComplementE1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 doubleComplementSub1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 doubleComplementSub2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 doubleComplementEq ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X230:$i, 12.52/2.39 X232:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X232 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X230 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X234:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X234 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X230 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X236:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X236 @ 12.52/2.39 X230 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X236 @ 12.52/2.39 ( 12.52/2.39 setminus @ 12.52/2.39 X230 @ 12.52/2.39 X232 ) ) => 12.52/2.39 ( 12.52/2.39 ~( 12.52/2.39 in @ 12.52/2.39 X236 @ 12.52/2.39 ( 12.52/2.39 binintersect 12.52/2.39 @ 12.52/2.39 X232 @ 12.52/2.39 X234 ) ) ) ) ) ) ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X238:$i, 12.52/2.39 X240:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X240 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X238 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X242:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X242 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X238 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X244:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X244 @ 12.52/2.39 X238 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X244 @ 12.52/2.39 ( 12.52/2.39 setminus @ 12.52/2.39 X238 @ 12.52/2.39 X240 ) ) => 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X244 @ 12.52/2.39 ( 12.52/2.39 setminus @ 12.52/2.39 X238 @ 12.52/2.39 ( 12.52/2.39 binintersect 12.52/2.39 @ 12.52/2.39 X240 @ 12.52/2.39 X242 ) ) ) ) ) ) ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X246:$i, 12.52/2.39 X248:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X248 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X246 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X250:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X250 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X246 ) ) => 12.52/2.39 ( 12.52/2.39 subset @ 12.52/2.39 ( 12.52/2.39 setminus @ 12.52/2.39 X246 @ 12.52/2.39 X248 ) @ 12.52/2.39 ( 12.52/2.39 setminus @ 12.52/2.39 X246 @ 12.52/2.39 ( 12.52/2.39 binintersect 12.52/2.39 @ 12.52/2.39 X248 @ 12.52/2.39 X250 ) ) ) ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X252:$i, 12.52/2.39 X254:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X254 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X252 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X256:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X256 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X252 ) ) => 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 ( 12.52/2.39 setminus @ 12.52/2.39 X252 @ 12.52/2.39 X254 ) @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 ( 12.52/2.39 setminus @ 12.52/2.39 X252 @ 12.52/2.39 ( 12.52/2.39 binintersect 12.52/2.39 @ 12.52/2.39 X254 @ 12.52/2.39 X256 ) ) ) ) ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 contraSubsetComplement ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 complementTcontraSubset ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X258:$i, 12.52/2.39 X260:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X260 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X258 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X262:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X262 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X258 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X264:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X264 @ 12.52/2.39 X258 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ~( 12.52/2.39 in @ 12.52/2.39 X264 @ 12.52/2.39 ( 12.52/2.39 binunion 12.52/2.39 @ 12.52/2.39 X260 @ 12.52/2.39 X262 ) ) ) => 12.52/2.39 ( 12.52/2.39 ~( 12.52/2.39 in @ 12.52/2.39 X264 @ 12.52/2.39 X260 ) ) ) ) ) ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X266:$i, 12.52/2.39 X268:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X268 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X266 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X270:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X270 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X266 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X272:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X272 @ 12.52/2.39 X266 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ~( 12.52/2.39 in @ 12.52/2.39 X272 @ 12.52/2.39 ( 12.52/2.39 binunion 12.52/2.39 @ 12.52/2.39 X268 @ 12.52/2.39 X270 ) ) ) => 12.52/2.39 ( 12.52/2.39 ~( 12.52/2.39 in @ 12.52/2.39 X272 @ 12.52/2.39 X270 ) ) ) ) ) ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X274:$i, 12.52/2.39 X276:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X276 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X274 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X278:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X278 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X274 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X280:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X280 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X274 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X282:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X282 @ 12.52/2.39 X274 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X282 @ 12.52/2.39 ( 12.52/2.39 binintersect 12.52/2.39 @ 12.52/2.39 X276 @ 12.52/2.39 X278 ) ) => 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X282 @ 12.52/2.39 ( 12.52/2.39 binunion @ 12.52/2.39 X276 @ 12.52/2.39 X280 ) ) ) ) ) ) ) ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X284:$i, 12.52/2.39 X286:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X286 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X284 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X288:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X288 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X284 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X290:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X290 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X284 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X292:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X292 @ 12.52/2.39 X284 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X292 @ 12.52/2.39 ( 12.52/2.39 binintersect 12.52/2.39 @ 12.52/2.39 X286 @ 12.52/2.39 X288 ) ) => 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X292 @ 12.52/2.39 ( 12.52/2.39 binunion @ 12.52/2.39 X288 @ 12.52/2.39 X290 ) ) ) ) ) ) ) ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X294:$i, 12.52/2.39 X296:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X296 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X294 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X298:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X298 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X294 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X300:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X300 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X294 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X302:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X302 @ 12.52/2.39 X294 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X302 @ 12.52/2.39 ( 12.52/2.39 binintersect 12.52/2.39 @ 12.52/2.39 X296 @ 12.52/2.39 X298 ) ) => 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X302 @ 12.52/2.39 ( 12.52/2.39 binintersect 12.52/2.39 @ 12.52/2.39 ( 12.52/2.39 binunion @ 12.52/2.39 X296 @ 12.52/2.39 X300 ) @ 12.52/2.39 ( 12.52/2.39 binunion @ 12.52/2.39 X298 @ 12.52/2.39 X300 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 12.52/2.39 thf(zf_stmt_1, type, zip_tseitin_0 : $i > $i > $i > $o). 12.52/2.39 thf(zf_stmt_2, axiom, 12.52/2.39 (![X8:$i,X6:$i,X4:$i]: 12.52/2.39 ( ( zip_tseitin_0 @ X8 @ X6 @ X4 ) <=> 12.52/2.39 ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ))). 12.52/2.39 thf(zf_stmt_3, conjecture, 12.52/2.39 (( setextAx ) => 12.52/2.39 ( ( emptysetAx ) => 12.52/2.39 ( ( setadjoinAx ) => 12.52/2.39 ( ( ![X4:$i,X6:$i]: 12.52/2.39 ( ( in @ X6 @ ( powerset @ X4 ) ) <=> 12.52/2.39 ( ![X8:$i]: ( zip_tseitin_0 @ X8 @ X6 @ X4 ) ) ) ) => 12.52/2.39 ( ( setunionAx ) => 12.52/2.39 ( ( omega0Ax ) => 12.52/2.39 ( ( omegaSAx ) => 12.52/2.39 ( ( omegaIndAx ) => 12.52/2.39 ( ( replAx ) => 12.52/2.39 ( ( foundationAx ) => 12.52/2.39 ( ( wellorderingAx ) => 12.52/2.39 ( ( descrp ) => 12.52/2.39 ( ( dsetconstrI ) => 12.52/2.39 ( ( dsetconstrEL ) => 12.52/2.39 ( ( dsetconstrER ) => 12.52/2.39 ( ( exuE1 ) => 12.52/2.39 ( ( prop2setE ) => 12.52/2.39 ( ( emptysetE ) => 12.52/2.39 ( ( emptysetimpfalse ) => 12.52/2.39 ( ( notinemptyset ) => 12.52/2.39 ( ( exuE3e ) => 12.52/2.39 ( ( setext ) => 12.52/2.39 ( ( emptyI ) => 12.52/2.39 ( ( noeltsimpempty ) => 12.52/2.39 ( ( setbeta ) => 12.52/2.39 ( ( nonemptyE1 ) => 12.52/2.39 ( ( nonemptyI ) => 12.52/2.39 ( ( nonemptyI1 ) => 12.52/2.39 ( ( setadjoinIL ) => 12.52/2.39 ( ( emptyinunitempty ) => 12.52/2.39 ( ( setadjoinIR ) => 12.52/2.39 ( ( setadjoinE ) => 12.52/2.39 ( ( 12.52/2.39 setadjoinOr ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setoftrueEq ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X10:$i, 12.52/2.39 X12:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X14:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X14 @ X12 ) => 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X14 @ X10 ) ) ) => 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X12 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X10 ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X16:$i]: 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 emptyset @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X16 ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X18:$i]: 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 emptyset @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X18 ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X20:$i, 12.52/2.39 X22:$i, 12.52/2.39 X24:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X22 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X20 ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X24 @ X22 ) => 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X24 @ X20 ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setunionI ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setunionE ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 subPowSU ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 exuE2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 nonemptyImpWitness ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 uniqinunit ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 notinsingleton ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 eqinunit ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 singletonsswitch ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 upairsetE ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 upairsetIL ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 upairsetIR ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 emptyE1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 vacuousDall ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 quantDeMorgan1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 quantDeMorgan2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 quantDeMorgan3 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 quantDeMorgan4 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 prop2setI ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 prop2set2propI ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 notdexE ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 notdallE ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 exuI1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 exuI3 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 exuI2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 inCongP ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in__Cong ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 exuE3u ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 exu__Cong ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 emptyset__Cong ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setadjoin__Cong ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X26:$i, 12.52/2.39 X28:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 X26 ) = 12.52/2.39 ( 12.52/2.39 X28 ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X26 ) = 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X28 ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setunion__Cong ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 omega__Cong ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 exuEu ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 descr__Cong ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 dsetconstr__Cong ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 subsetI1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 eqimpsubset2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 eqimpsubset1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 subsetI2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 emptysetsubset ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 subsetE ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 subsetE2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 notsubsetI ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 notequalI1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 notequalI2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 subsetRefl ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 subsetTrans ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setadjoinSub ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setadjoinSub2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 subset2powerset ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setextsub ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 subsetemptysetimpeq ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 powersetI1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 powersetE1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X30:$i]: 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X30 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X30 ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 powersetsubset ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 sepInPowerset ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 sepSubset ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X32:$i, 12.52/2.39 X34:$i, 12.52/2.39 X36:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X36 @ X32 ) => 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X36 @ 12.52/2.39 ( 12.52/2.39 binunion @ 12.52/2.39 X32 @ X34 ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 upairset2IR ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X38:$i, 12.52/2.39 X40:$i, 12.52/2.39 X42:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X42 @ X40 ) => 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X42 @ 12.52/2.39 ( 12.52/2.39 binunion @ 12.52/2.39 X38 @ X40 ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X44:$i, 12.52/2.39 X46:$i, 12.52/2.39 X48:$i, 12.52/2.39 X50:$o]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X48 @ 12.52/2.39 ( 12.52/2.39 binunion @ 12.52/2.39 X44 @ X46 ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X48 @ X44 ) => 12.52/2.39 ( 12.52/2.39 X50 ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X48 @ X46 ) => 12.52/2.39 ( 12.52/2.39 X50 ) ) => 12.52/2.39 ( 12.52/2.39 X50 ) ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X52:$i, 12.52/2.39 X54:$i, 12.52/2.39 X56:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X56 @ 12.52/2.39 ( 12.52/2.39 binunion @ 12.52/2.39 X52 @ X54 ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X56 @ X52 ) | 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X56 @ X54 ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X58:$i, 12.52/2.39 X60:$i]: 12.52/2.39 ( 12.52/2.39 subset @ 12.52/2.39 X58 @ 12.52/2.39 ( 12.52/2.39 binunion @ 12.52/2.39 X58 @ X60 ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X62:$i, 12.52/2.39 X64:$i]: 12.52/2.39 ( 12.52/2.39 subset @ 12.52/2.39 X64 @ 12.52/2.39 ( 12.52/2.39 binunion @ 12.52/2.39 X62 @ X64 ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X66:$i, 12.52/2.39 X68:$i, 12.52/2.39 X70:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X70 @ X66 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X70 @ X68 ) => 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X70 @ 12.52/2.39 ( 12.52/2.39 binintersect 12.52/2.39 @ 12.52/2.39 X66 @ X68 ) ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X72:$i, 12.52/2.39 X74:$i, 12.52/2.39 X76:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 subset @ 12.52/2.39 X76 @ X72 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 subset @ 12.52/2.39 X76 @ X74 ) => 12.52/2.39 ( 12.52/2.39 subset @ 12.52/2.39 X76 @ 12.52/2.39 ( 12.52/2.39 binintersect 12.52/2.39 @ 12.52/2.39 X72 @ X74 ) ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X78:$i, 12.52/2.39 X80:$i, 12.52/2.39 X82:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X82 @ 12.52/2.39 ( 12.52/2.39 binintersect 12.52/2.39 @ 12.52/2.39 X78 @ X80 ) ) => 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X82 @ X78 ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X84:$i, 12.52/2.39 X86:$i]: 12.52/2.39 ( 12.52/2.39 subset @ 12.52/2.39 ( 12.52/2.39 binintersect 12.52/2.39 @ 12.52/2.39 X84 @ X86 ) @ 12.52/2.39 X84 ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X88:$i, 12.52/2.39 X90:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 subset @ 12.52/2.39 X88 @ X90 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 binintersect 12.52/2.39 @ 12.52/2.39 X88 @ X90 ) = 12.52/2.39 ( 12.52/2.39 X88 ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X92:$i, 12.52/2.39 X94:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 binintersect 12.52/2.39 @ 12.52/2.39 X92 @ X94 ) = 12.52/2.39 ( 12.52/2.39 X94 ) ) => 12.52/2.39 ( 12.52/2.39 subset @ 12.52/2.39 X94 @ X92 ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X96:$i, 12.52/2.39 X98:$i, 12.52/2.39 X100:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X100 @ 12.52/2.39 ( 12.52/2.39 binintersect 12.52/2.39 @ 12.52/2.39 X96 @ X98 ) ) => 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X100 @ X98 ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X102:$i, 12.52/2.39 X104:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ~( 12.52/2.39 ?[ 12.52/2.39 X106:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X106 @ 12.52/2.39 X104 ) & 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X106 @ 12.52/2.39 X102 ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 binintersect 12.52/2.39 @ 12.52/2.39 X102 @ 12.52/2.39 X104 ) = 12.52/2.39 ( 12.52/2.39 emptyset ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X108:$i, 12.52/2.39 X110:$i]: 12.52/2.39 ( 12.52/2.39 subset @ 12.52/2.39 ( 12.52/2.39 binintersect 12.52/2.39 @ 12.52/2.39 X108 @ 12.52/2.39 X110 ) @ 12.52/2.39 X110 ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X112:$i, 12.52/2.39 X114:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 subset @ 12.52/2.39 X114 @ 12.52/2.39 X112 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 binintersect 12.52/2.39 @ 12.52/2.39 X112 @ 12.52/2.39 X114 ) = 12.52/2.39 ( 12.52/2.39 X114 ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X116:$i, 12.52/2.39 X118:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 binintersect 12.52/2.39 @ 12.52/2.39 X116 @ 12.52/2.39 X118 ) = 12.52/2.39 ( 12.52/2.39 X116 ) ) => 12.52/2.39 ( 12.52/2.39 subset @ 12.52/2.39 X116 @ 12.52/2.39 X118 ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X120:$i, 12.52/2.39 X122:$i, 12.52/2.39 X124:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 binintersect 12.52/2.39 @ 12.52/2.39 X120 @ 12.52/2.39 ( 12.52/2.39 binunion @ 12.52/2.39 X122 @ 12.52/2.39 X124 ) ) = 12.52/2.39 ( 12.52/2.39 binunion @ 12.52/2.39 ( 12.52/2.39 binintersect 12.52/2.39 @ 12.52/2.39 X120 @ 12.52/2.39 X122 ) @ 12.52/2.39 ( 12.52/2.39 binintersect 12.52/2.39 @ 12.52/2.39 X120 @ 12.52/2.39 X124 ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setminusI ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setminusEL ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setminusER ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setminusSubset2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setminusERneg ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setminusELneg ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setminusILneg ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setminusIRneg ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setminusLsub ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setminusSubset1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 symdiffE ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 symdiffI1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 symdiffI2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 symdiffIneg1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 symdiffIneg2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 secondinupair ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setukpairIL ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setukpairIR ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 kpairiskpair ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 kpairp ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 singletonsubset ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 singletoninpowerset ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X126:$i, 12.52/2.39 X128:$i, 12.52/2.39 X130:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X130 @ 12.52/2.39 X126 ) => 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 ( 12.52/2.39 setadjoin 12.52/2.39 @ 12.52/2.39 X130 @ 12.52/2.39 emptyset ) @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 ( 12.52/2.39 binunion @ 12.52/2.39 X126 @ 12.52/2.39 X128 ) ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 upairset2E ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X132:$i, 12.52/2.39 X134:$i, 12.52/2.39 X136:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X136 @ 12.52/2.39 X132 ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X138:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X138 @ 12.52/2.39 X134 ) => 12.52/2.39 ( 12.52/2.39 subset @ 12.52/2.39 ( 12.52/2.39 setadjoin 12.52/2.39 @ 12.52/2.39 X136 @ 12.52/2.39 ( 12.52/2.39 setadjoin 12.52/2.39 @ 12.52/2.39 X138 @ 12.52/2.39 emptyset ) ) @ 12.52/2.39 ( 12.52/2.39 binunion @ 12.52/2.39 X132 @ 12.52/2.39 X134 ) ) ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X140:$i, 12.52/2.39 X142:$i, 12.52/2.39 X144:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X144 @ 12.52/2.39 X140 ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X146:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X146 @ 12.52/2.39 X142 ) => 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 ( 12.52/2.39 setadjoin 12.52/2.39 @ 12.52/2.39 X144 @ 12.52/2.39 ( 12.52/2.39 setadjoin 12.52/2.39 @ 12.52/2.39 X146 @ 12.52/2.39 emptyset ) ) @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 ( 12.52/2.39 binunion @ 12.52/2.39 X140 @ 12.52/2.39 X142 ) ) ) ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X148:$i, 12.52/2.39 X150:$i, 12.52/2.39 X152:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X152 @ 12.52/2.39 X148 ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X154:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X154 @ 12.52/2.39 X150 ) => 12.52/2.39 ( 12.52/2.39 subset @ 12.52/2.39 ( 12.52/2.39 setadjoin 12.52/2.39 @ 12.52/2.39 ( 12.52/2.39 setadjoin 12.52/2.39 @ 12.52/2.39 X152 @ 12.52/2.39 emptyset ) @ 12.52/2.39 ( 12.52/2.39 setadjoin 12.52/2.39 @ 12.52/2.39 ( 12.52/2.39 setadjoin 12.52/2.39 @ 12.52/2.39 X152 @ 12.52/2.39 ( 12.52/2.39 setadjoin 12.52/2.39 @ 12.52/2.39 X154 @ 12.52/2.39 emptyset ) ) @ 12.52/2.39 emptyset ) ) @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 ( 12.52/2.39 binunion @ 12.52/2.39 X148 @ 12.52/2.39 X150 ) ) ) ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X156:$i, 12.52/2.39 X158:$i, 12.52/2.39 X160:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X160 @ 12.52/2.39 X156 ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X162:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X162 @ 12.52/2.39 X158 ) => 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 ( 12.52/2.39 setadjoin 12.52/2.39 @ 12.52/2.39 ( 12.52/2.39 setadjoin 12.52/2.39 @ 12.52/2.39 X160 @ 12.52/2.39 emptyset ) @ 12.52/2.39 ( 12.52/2.39 setadjoin 12.52/2.39 @ 12.52/2.39 ( 12.52/2.39 setadjoin 12.52/2.39 @ 12.52/2.39 X160 @ 12.52/2.39 ( 12.52/2.39 setadjoin 12.52/2.39 @ 12.52/2.39 X162 @ 12.52/2.39 emptyset ) ) @ 12.52/2.39 emptyset ) ) @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 ( 12.52/2.39 binunion @ 12.52/2.39 X156 @ 12.52/2.39 X158 ) ) ) ) ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X164:$i, 12.52/2.39 X166:$i, 12.52/2.39 X168:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X168 @ 12.52/2.39 X164 ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X170:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X170 @ 12.52/2.39 X166 ) => 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 ( 12.52/2.39 kpair @ 12.52/2.39 X168 @ 12.52/2.39 X170 ) @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 ( 12.52/2.39 binunion @ 12.52/2.39 X164 @ 12.52/2.39 X166 ) ) ) ) ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 cartprodpairin ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 cartprodmempair1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 cartprodmempair ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setunionE2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setunionsingleton1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setunionsingleton2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setunionsingleton ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 singletonprop ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ex1E1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ex1I ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ex1I2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 singletonsuniq ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setukpairinjL1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 kfstsingleton ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 theprop ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 kfstpairEq ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 cartprodfstin ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setukpairinjL2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setukpairinjL ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setukpairinjR11 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setukpairinjR12 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setukpairinjR1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 upairequniteq ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setukpairinjR2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setukpairinjR ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ksndsingleton ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ksndpairEq ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 kpairsurjEq ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 cartprodsndin ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 cartprodpairmemEL ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 cartprodpairmemER ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 cartprodmempaircEq ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 cartprodfstpairEq ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 cartprodsndpairEq ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 cartprodpairsurjEq ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 dpsetconstrI ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 dpsetconstrSub ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setOfPairsIsBReln ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 dpsetconstrERa ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 dpsetconstrEL1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 dpsetconstrEL2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 dpsetconstrER ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 funcImageSingleton ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 apProp ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 app ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 infuncsetfunc ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ap2p ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 funcinfuncset ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 lamProp ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 lamp ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 lam2p ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 brelnall1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 brelnall2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ex1E2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 funcGraphProp1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 funcGraphProp3 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 funcGraphProp2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 funcextLem ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 funcGraphProp4 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 subbreln ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 eqbreln ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 funcext ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 funcext2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ap2apEq1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ap2apEq2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 beta1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 eta1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 lam2lamEq ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 beta2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 eta2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 iffalseProp1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 iffalseProp2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 iftrueProp1 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 iftrueProp2 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ifSingleton ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ifp ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 theeq ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 iftrue ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 iffalse ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 iftrueorfalse ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X172:$i, 12.52/2.39 X174:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X174 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X172 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X176:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X176 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X172 ) ) => 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 ( 12.52/2.39 binintersect 12.52/2.39 @ 12.52/2.39 X174 @ 12.52/2.39 X176 ) @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X172 ) ) ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X178:$i, 12.52/2.39 X180:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X180 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X178 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X182:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X182 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X178 ) ) => 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 ( 12.52/2.39 binunion @ 12.52/2.39 X180 @ 12.52/2.39 X182 ) @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X178 ) ) ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X184:$i, 12.52/2.39 X186:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X186 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X184 ) ) => 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X186 ) @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X184 ) ) ) ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 setminusT_lem ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 complementT_lem ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X188:$i, 12.52/2.39 X190:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X190 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X188 ) ) => 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X192:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X192 @ 12.52/2.39 ( 12.52/2.39 powerset @ 12.52/2.39 X188 ) ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 ![ 12.52/2.39 X194:$i]: 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X194 @ 12.52/2.39 X188 ) => 12.52/2.39 ( 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X194 @ 12.52/2.39 X190 ) => 12.52/2.39 ( 12.52/2.39 in @ 12.52/2.39 X194 @ 13.17/2.39 X192 ) ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X196:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X196 @ 13.17/2.39 X188 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X196 @ 13.17/2.39 X192 ) => 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X196 @ 13.17/2.39 X190 ) ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 X190 ) = 13.17/2.39 ( 13.17/2.39 X192 ) ) ) ) ) ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 subsetTI ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X198:$i, 13.17/2.39 X200:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X200 @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 X198 ) ) => 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X202:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X202 @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 X198 ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X204:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X204 @ 13.17/2.39 X198 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X204 @ 13.17/2.39 X200 ) => 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X204 @ 13.17/2.39 X202 ) ) ) ) => 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X200 @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 X202 ) ) ) ) ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X206:$i, 13.17/2.39 X208:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X208 @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 X206 ) ) => 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X210:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X210 @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 X206 ) ) => 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X212:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X212 @ 13.17/2.39 X206 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X208 @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 X210 ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X212 @ 13.17/2.39 X208 ) => 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X212 @ 13.17/2.39 X210 ) ) ) ) ) ) ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 complementTI1 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 complementTE1 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X214:$i, 13.17/2.39 X216:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X216 @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 X214 ) ) => 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X218:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X218 @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 X214 ) ) => 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X220:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X220 @ 13.17/2.39 X214 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ~( 13.17/2.39 in @ 13.17/2.39 X220 @ 13.17/2.39 X216 ) ) => 13.17/2.39 ( 13.17/2.39 ~( 13.17/2.39 in @ 13.17/2.39 X220 @ 13.17/2.39 ( 13.17/2.39 binintersect 13.17/2.39 @ 13.17/2.39 X216 @ 13.17/2.39 X218 ) ) ) ) ) ) ) ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X222:$i, 13.17/2.39 X224:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X224 @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 X222 ) ) => 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X226:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X226 @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 X222 ) ) => 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X228:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X228 @ 13.17/2.39 X222 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ~( 13.17/2.39 in @ 13.17/2.39 X228 @ 13.17/2.39 X226 ) ) => 13.17/2.39 ( 13.17/2.39 ~( 13.17/2.39 in @ 13.17/2.39 X228 @ 13.17/2.39 ( 13.17/2.39 binintersect 13.17/2.39 @ 13.17/2.39 X224 @ 13.17/2.39 X226 ) ) ) ) ) ) ) ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 contrasubsetT ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 contrasubsetT1 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 contrasubsetT2 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 contrasubsetT3 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 doubleComplementI1 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 doubleComplementE1 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 doubleComplementSub1 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 doubleComplementSub2 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 doubleComplementEq ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X230:$i, 13.17/2.39 X232:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X232 @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 X230 ) ) => 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X234:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X234 @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 X230 ) ) => 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X236:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X236 @ 13.17/2.39 X230 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X236 @ 13.17/2.39 ( 13.17/2.39 setminus @ 13.17/2.39 X230 @ 13.17/2.39 X232 ) ) => 13.17/2.39 ( 13.17/2.39 ~( 13.17/2.39 in @ 13.17/2.39 X236 @ 13.17/2.39 ( 13.17/2.39 binintersect 13.17/2.39 @ 13.17/2.39 X232 @ 13.17/2.39 X234 ) ) ) ) ) ) ) ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X238:$i, 13.17/2.39 X240:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X240 @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 X238 ) ) => 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X242:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X242 @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 X238 ) ) => 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X244:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X244 @ 13.17/2.39 X238 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X244 @ 13.17/2.39 ( 13.17/2.39 setminus @ 13.17/2.39 X238 @ 13.17/2.39 X240 ) ) => 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X244 @ 13.17/2.39 ( 13.17/2.39 setminus @ 13.17/2.39 X238 @ 13.17/2.39 ( 13.17/2.39 binintersect 13.17/2.39 @ 13.17/2.39 X240 @ 13.17/2.39 X242 ) ) ) ) ) ) ) ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X246:$i, 13.17/2.39 X248:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X248 @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 X246 ) ) => 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X250:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X250 @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 X246 ) ) => 13.17/2.39 ( 13.17/2.39 subset @ 13.17/2.39 ( 13.17/2.39 setminus @ 13.17/2.39 X246 @ 13.17/2.39 X248 ) @ 13.17/2.39 ( 13.17/2.39 setminus @ 13.17/2.39 X246 @ 13.17/2.39 ( 13.17/2.39 binintersect 13.17/2.39 @ 13.17/2.39 X248 @ 13.17/2.39 X250 ) ) ) ) ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X252:$i, 13.17/2.39 X254:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X254 @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 X252 ) ) => 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X256:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X256 @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 X252 ) ) => 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 ( 13.17/2.39 setminus @ 13.17/2.39 X252 @ 13.17/2.39 X254 ) @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 ( 13.17/2.39 setminus @ 13.17/2.39 X252 @ 13.17/2.39 ( 13.17/2.39 binintersect 13.17/2.39 @ 13.17/2.39 X254 @ 13.17/2.39 X256 ) ) ) ) ) ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 contraSubsetComplement ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 complementTcontraSubset ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X258:$i, 13.17/2.39 X260:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X260 @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 X258 ) ) => 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X262:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X262 @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 X258 ) ) => 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X264:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X264 @ 13.17/2.39 X258 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ~( 13.17/2.39 in @ 13.17/2.39 X264 @ 13.17/2.39 ( 13.17/2.39 binunion 13.17/2.39 @ 13.17/2.39 X260 @ 13.17/2.39 X262 ) ) ) => 13.17/2.39 ( 13.17/2.39 ~( 13.17/2.39 in @ 13.17/2.39 X264 @ 13.17/2.39 X260 ) ) ) ) ) ) ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X266:$i, 13.17/2.39 X268:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X268 @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 X266 ) ) => 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X270:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X270 @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 X266 ) ) => 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X272:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X272 @ 13.17/2.39 X266 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ~( 13.17/2.39 in @ 13.17/2.39 X272 @ 13.17/2.39 ( 13.17/2.39 binunion 13.17/2.39 @ 13.17/2.39 X268 @ 13.17/2.39 X270 ) ) ) => 13.17/2.39 ( 13.17/2.39 ~( 13.17/2.39 in @ 13.17/2.39 X272 @ 13.17/2.39 X270 ) ) ) ) ) ) ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X274:$i, 13.17/2.39 X276:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X276 @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 X274 ) ) => 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X278:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X278 @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 X274 ) ) => 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X280:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X280 @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 X274 ) ) => 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X282:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X282 @ 13.17/2.39 X274 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X282 @ 13.17/2.39 ( 13.17/2.39 binintersect 13.17/2.39 @ 13.17/2.39 X276 @ 13.17/2.39 X278 ) ) => 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X282 @ 13.17/2.39 ( 13.17/2.39 binunion @ 13.17/2.39 X276 @ 13.17/2.39 X280 ) ) ) ) ) ) ) ) ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X284:$i, 13.17/2.39 X286:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X286 @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 X284 ) ) => 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X288:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X288 @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 X284 ) ) => 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X290:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X290 @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 X284 ) ) => 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X292:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X292 @ 13.17/2.39 X284 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X292 @ 13.17/2.39 ( 13.17/2.39 binintersect 13.17/2.39 @ 13.17/2.39 X286 @ 13.17/2.39 X288 ) ) => 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X292 @ 13.17/2.39 ( 13.17/2.39 binunion @ 13.17/2.39 X288 @ 13.17/2.39 X290 ) ) ) ) ) ) ) ) ) ) ) => 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X294:$i, 13.17/2.39 X296:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X296 @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 X294 ) ) => 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X298:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X298 @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 X294 ) ) => 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X300:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X300 @ 13.17/2.39 ( 13.17/2.39 powerset @ 13.17/2.39 X294 ) ) => 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X302:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X302 @ 13.17/2.39 X294 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X302 @ 13.17/2.39 ( 13.17/2.39 binintersect 13.17/2.39 @ 13.17/2.39 X296 @ 13.17/2.39 X298 ) ) => 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X302 @ 13.17/2.39 ( 13.17/2.39 binintersect 13.17/2.39 @ 13.17/2.39 ( 13.17/2.39 binunion @ 13.17/2.39 X296 @ 13.17/2.39 X300 ) @ 13.17/2.39 ( 13.17/2.39 binunion @ 13.17/2.39 X298 @ 13.17/2.39 X300 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 13.17/2.39 thf(zf_stmt_4, negated_conjecture, 13.17/2.39 (~( ( setextAx ) => 13.17/2.39 ( ( emptysetAx ) => 13.17/2.39 ( ( setadjoinAx ) => 13.17/2.39 ( ( ![X4:$i,X6:$i]: 13.17/2.39 ( ( in @ X6 @ ( powerset @ X4 ) ) <=> 13.17/2.39 ( ![X8:$i]: ( zip_tseitin_0 @ X8 @ X6 @ X4 ) ) ) ) => 13.17/2.39 ( ( setunionAx ) => 13.17/2.39 ( ( omega0Ax ) => 13.17/2.39 ( ( omegaSAx ) => 13.17/2.39 ( ( omegaIndAx ) => 13.17/2.39 ( ( replAx ) => 13.17/2.39 ( ( foundationAx ) => 13.17/2.39 ( ( wellorderingAx ) => 13.17/2.39 ( ( descrp ) => 13.17/2.39 ( ( dsetconstrI ) => 13.17/2.39 ( ( dsetconstrEL ) => 13.17/2.39 ( ( dsetconstrER ) => 13.17/2.39 ( ( exuE1 ) => 13.17/2.39 ( ( prop2setE ) => 13.17/2.39 ( ( emptysetE ) => 13.17/2.39 ( ( emptysetimpfalse ) => 13.17/2.39 ( ( notinemptyset ) => 13.17/2.39 ( ( exuE3e ) => 13.17/2.39 ( ( setext ) => 13.17/2.39 ( ( emptyI ) => 13.17/2.39 ( ( noeltsimpempty ) => 13.17/2.39 ( ( setbeta ) => 13.17/2.39 ( ( nonemptyE1 ) => 13.17/2.39 ( ( nonemptyI ) => 13.17/2.39 ( ( nonemptyI1 ) => 13.17/2.39 ( ( setadjoinIL ) => 13.17/2.39 ( ( emptyinunitempty ) => 13.17/2.39 ( ( setadjoinIR ) => 13.17/2.39 ( ( 13.17/2.39 setadjoinE ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 setadjoinOr ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 setoftrueEq ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X10:$i, 13.17/2.39 X12:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X14:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X14 @ X12 ) => 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X14 @ X10 ) ) ) => 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X12 @ 13.17/2.39 ( 13.17/2.39 powerset 13.17/2.39 @ 13.17/2.39 X10 ) ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X16:$i]: 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 emptyset @ 13.17/2.39 ( 13.17/2.39 powerset 13.17/2.39 @ 13.17/2.39 X16 ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X18:$i]: 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 emptyset @ 13.17/2.39 ( 13.17/2.39 powerset 13.17/2.39 @ 13.17/2.39 X18 ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X20:$i, 13.17/2.39 X22:$i, 13.17/2.39 X24:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X22 @ 13.17/2.39 ( 13.17/2.39 powerset 13.17/2.39 @ 13.17/2.39 X20 ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X24 @ X22 ) => 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X24 @ X20 ) ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 setunionI ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 setunionE ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 subPowSU ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 exuE2 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 nonemptyImpWitness ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 uniqinunit ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 notinsingleton ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 eqinunit ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 singletonsswitch ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 upairsetE ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 upairsetIL ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 upairsetIR ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 emptyE1 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 vacuousDall ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 quantDeMorgan1 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 quantDeMorgan2 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 quantDeMorgan3 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 quantDeMorgan4 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 prop2setI ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 prop2set2propI ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 notdexE ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 notdallE ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 exuI1 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 exuI3 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 exuI2 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 inCongP ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in__Cong ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 exuE3u ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 exu__Cong ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 emptyset__Cong ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 setadjoin__Cong ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X26:$i, 13.17/2.39 X28:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 X26 ) = 13.17/2.39 ( 13.17/2.39 X28 ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 powerset 13.17/2.39 @ 13.17/2.39 X26 ) = 13.17/2.39 ( 13.17/2.39 powerset 13.17/2.39 @ 13.17/2.39 X28 ) ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 setunion__Cong ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 omega__Cong ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 exuEu ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 descr__Cong ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 dsetconstr__Cong ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 subsetI1 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 eqimpsubset2 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 eqimpsubset1 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 subsetI2 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 emptysetsubset ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 subsetE ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 subsetE2 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 notsubsetI ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 notequalI1 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 notequalI2 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 subsetRefl ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 subsetTrans ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 setadjoinSub ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 setadjoinSub2 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 subset2powerset ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 setextsub ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 subsetemptysetimpeq ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 powersetI1 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 powersetE1 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X30:$i]: 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X30 @ 13.17/2.39 ( 13.17/2.39 powerset 13.17/2.39 @ 13.17/2.39 X30 ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 powersetsubset ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 sepInPowerset ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 sepSubset ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X32:$i, 13.17/2.39 X34:$i, 13.17/2.39 X36:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X36 @ X32 ) => 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X36 @ 13.17/2.39 ( 13.17/2.39 binunion 13.17/2.39 @ 13.17/2.39 X32 @ X34 ) ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 upairset2IR ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X38:$i, 13.17/2.39 X40:$i, 13.17/2.39 X42:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X42 @ X40 ) => 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X42 @ 13.17/2.39 ( 13.17/2.39 binunion 13.17/2.39 @ 13.17/2.39 X38 @ X40 ) ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X44:$i, 13.17/2.39 X46:$i, 13.17/2.39 X48:$i, 13.17/2.39 X50:$o]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X48 @ 13.17/2.39 ( 13.17/2.39 binunion 13.17/2.39 @ 13.17/2.39 X44 @ X46 ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X48 @ X44 ) => 13.17/2.39 ( 13.17/2.39 X50 ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X48 @ X46 ) => 13.17/2.39 ( 13.17/2.39 X50 ) ) => 13.17/2.39 ( 13.17/2.39 X50 ) ) ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X52:$i, 13.17/2.39 X54:$i, 13.17/2.39 X56:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X56 @ 13.17/2.39 ( 13.17/2.39 binunion 13.17/2.39 @ 13.17/2.39 X52 @ X54 ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X56 @ X52 ) | 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X56 @ X54 ) ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X58:$i, 13.17/2.39 X60:$i]: 13.17/2.39 ( 13.17/2.39 subset @ 13.17/2.39 X58 @ 13.17/2.39 ( 13.17/2.39 binunion 13.17/2.39 @ 13.17/2.39 X58 @ X60 ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X62:$i, 13.17/2.39 X64:$i]: 13.17/2.39 ( 13.17/2.39 subset @ 13.17/2.39 X64 @ 13.17/2.39 ( 13.17/2.39 binunion 13.17/2.39 @ 13.17/2.39 X62 @ X64 ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X66:$i, 13.17/2.39 X68:$i, 13.17/2.39 X70:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X70 @ X66 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X70 @ X68 ) => 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X70 @ 13.17/2.39 ( 13.17/2.39 binintersect 13.17/2.39 @ 13.17/2.39 X66 @ X68 ) ) ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X72:$i, 13.17/2.39 X74:$i, 13.17/2.39 X76:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 subset @ 13.17/2.39 X76 @ X72 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 subset @ 13.17/2.39 X76 @ X74 ) => 13.17/2.39 ( 13.17/2.39 subset @ 13.17/2.39 X76 @ 13.17/2.39 ( 13.17/2.39 binintersect 13.17/2.39 @ 13.17/2.39 X72 @ X74 ) ) ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X78:$i, 13.17/2.39 X80:$i, 13.17/2.39 X82:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X82 @ 13.17/2.39 ( 13.17/2.39 binintersect 13.17/2.39 @ 13.17/2.39 X78 @ X80 ) ) => 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X82 @ X78 ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X84:$i, 13.17/2.39 X86:$i]: 13.17/2.39 ( 13.17/2.39 subset @ 13.17/2.39 ( 13.17/2.39 binintersect 13.17/2.39 @ 13.17/2.39 X84 @ X86 ) @ 13.17/2.39 X84 ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X88:$i, 13.17/2.39 X90:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 subset @ 13.17/2.39 X88 @ X90 ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 binintersect 13.17/2.39 @ 13.17/2.39 X88 @ X90 ) = 13.17/2.39 ( 13.17/2.39 X88 ) ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X92:$i, 13.17/2.39 X94:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 binintersect 13.17/2.39 @ 13.17/2.39 X92 @ X94 ) = 13.17/2.39 ( 13.17/2.39 X94 ) ) => 13.17/2.39 ( 13.17/2.39 subset @ 13.17/2.39 X94 @ X92 ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X96:$i, 13.17/2.39 X98:$i, 13.17/2.39 X100:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X100 @ 13.17/2.39 ( 13.17/2.39 binintersect 13.17/2.39 @ 13.17/2.39 X96 @ X98 ) ) => 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X100 @ 13.17/2.39 X98 ) ) ) => 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ![ 13.17/2.39 X102:$i, 13.17/2.39 X104:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 ~ 13.17/2.39 ( 13.17/2.39 ?[ 13.17/2.39 X106:$i]: 13.17/2.39 ( 13.17/2.39 ( 13.17/2.39 in @ 13.17/2.39 X106 @ 13.17/2.40 X104 ) & 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X106 @ 13.17/2.40 X102 ) ) ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 binintersect 13.17/2.40 @ 13.17/2.40 X102 @ 13.17/2.40 X104 ) = 13.17/2.40 ( 13.17/2.40 emptyset ) ) ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X108:$i, 13.17/2.40 X110:$i]: 13.17/2.40 ( 13.17/2.40 subset @ 13.17/2.40 ( 13.17/2.40 binintersect 13.17/2.40 @ 13.17/2.40 X108 @ 13.17/2.40 X110 ) @ 13.17/2.40 X110 ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X112:$i, 13.17/2.40 X114:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 subset @ 13.17/2.40 X114 @ 13.17/2.40 X112 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 binintersect 13.17/2.40 @ 13.17/2.40 X112 @ 13.17/2.40 X114 ) = 13.17/2.40 ( 13.17/2.40 X114 ) ) ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X116:$i, 13.17/2.40 X118:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 binintersect 13.17/2.40 @ 13.17/2.40 X116 @ 13.17/2.40 X118 ) = 13.17/2.40 ( 13.17/2.40 X116 ) ) => 13.17/2.40 ( 13.17/2.40 subset @ 13.17/2.40 X116 @ 13.17/2.40 X118 ) ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X120:$i, 13.17/2.40 X122:$i, 13.17/2.40 X124:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 binintersect 13.17/2.40 @ 13.17/2.40 X120 @ 13.17/2.40 ( 13.17/2.40 binunion 13.17/2.40 @ 13.17/2.40 X122 @ 13.17/2.40 X124 ) ) = 13.17/2.40 ( 13.17/2.40 binunion 13.17/2.40 @ 13.17/2.40 ( 13.17/2.40 binintersect 13.17/2.40 @ 13.17/2.40 X120 @ 13.17/2.40 X122 ) @ 13.17/2.40 ( 13.17/2.40 binintersect 13.17/2.40 @ 13.17/2.40 X120 @ 13.17/2.40 X124 ) ) ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 setminusI ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 setminusEL ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 setminusER ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 setminusSubset2 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 setminusERneg ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 setminusELneg ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 setminusILneg ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 setminusIRneg ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 setminusLsub ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 setminusSubset1 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 symdiffE ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 symdiffI1 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 symdiffI2 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 symdiffIneg1 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 symdiffIneg2 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 secondinupair ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 setukpairIL ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 setukpairIR ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 kpairiskpair ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 kpairp ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 singletonsubset ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 singletoninpowerset ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X126:$i, 13.17/2.40 X128:$i, 13.17/2.40 X130:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X130 @ 13.17/2.40 X126 ) => 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 ( 13.17/2.40 setadjoin 13.17/2.40 @ 13.17/2.40 X130 @ 13.17/2.40 emptyset ) @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 ( 13.17/2.40 binunion 13.17/2.40 @ 13.17/2.40 X126 @ 13.17/2.40 X128 ) ) ) ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 upairset2E ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X132:$i, 13.17/2.40 X134:$i, 13.17/2.40 X136:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X136 @ 13.17/2.40 X132 ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X138:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X138 @ 13.17/2.40 X134 ) => 13.17/2.40 ( 13.17/2.40 subset @ 13.17/2.40 ( 13.17/2.40 setadjoin 13.17/2.40 @ 13.17/2.40 X136 @ 13.17/2.40 ( 13.17/2.40 setadjoin 13.17/2.40 @ 13.17/2.40 X138 @ 13.17/2.40 emptyset ) ) @ 13.17/2.40 ( 13.17/2.40 binunion 13.17/2.40 @ 13.17/2.40 X132 @ 13.17/2.40 X134 ) ) ) ) ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X140:$i, 13.17/2.40 X142:$i, 13.17/2.40 X144:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X144 @ 13.17/2.40 X140 ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X146:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X146 @ 13.17/2.40 X142 ) => 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 ( 13.17/2.40 setadjoin 13.17/2.40 @ 13.17/2.40 X144 @ 13.17/2.40 ( 13.17/2.40 setadjoin 13.17/2.40 @ 13.17/2.40 X146 @ 13.17/2.40 emptyset ) ) @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 ( 13.17/2.40 binunion 13.17/2.40 @ 13.17/2.40 X140 @ 13.17/2.40 X142 ) ) ) ) ) ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X148:$i, 13.17/2.40 X150:$i, 13.17/2.40 X152:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X152 @ 13.17/2.40 X148 ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X154:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X154 @ 13.17/2.40 X150 ) => 13.17/2.40 ( 13.17/2.40 subset @ 13.17/2.40 ( 13.17/2.40 setadjoin 13.17/2.40 @ 13.17/2.40 ( 13.17/2.40 setadjoin 13.17/2.40 @ 13.17/2.40 X152 @ 13.17/2.40 emptyset ) @ 13.17/2.40 ( 13.17/2.40 setadjoin 13.17/2.40 @ 13.17/2.40 ( 13.17/2.40 setadjoin 13.17/2.40 @ 13.17/2.40 X152 @ 13.17/2.40 ( 13.17/2.40 setadjoin 13.17/2.40 @ 13.17/2.40 X154 @ 13.17/2.40 emptyset ) ) @ 13.17/2.40 emptyset ) ) @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 ( 13.17/2.40 binunion 13.17/2.40 @ 13.17/2.40 X148 @ 13.17/2.40 X150 ) ) ) ) ) ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X156:$i, 13.17/2.40 X158:$i, 13.17/2.40 X160:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X160 @ 13.17/2.40 X156 ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X162:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X162 @ 13.17/2.40 X158 ) => 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 ( 13.17/2.40 setadjoin 13.17/2.40 @ 13.17/2.40 ( 13.17/2.40 setadjoin 13.17/2.40 @ 13.17/2.40 X160 @ 13.17/2.40 emptyset ) @ 13.17/2.40 ( 13.17/2.40 setadjoin 13.17/2.40 @ 13.17/2.40 ( 13.17/2.40 setadjoin 13.17/2.40 @ 13.17/2.40 X160 @ 13.17/2.40 ( 13.17/2.40 setadjoin 13.17/2.40 @ 13.17/2.40 X162 @ 13.17/2.40 emptyset ) ) @ 13.17/2.40 emptyset ) ) @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 ( 13.17/2.40 binunion 13.17/2.40 @ 13.17/2.40 X156 @ 13.17/2.40 X158 ) ) ) ) ) ) ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X164:$i, 13.17/2.40 X166:$i, 13.17/2.40 X168:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X168 @ 13.17/2.40 X164 ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X170:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X170 @ 13.17/2.40 X166 ) => 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 ( 13.17/2.40 kpair @ 13.17/2.40 X168 @ 13.17/2.40 X170 ) @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 ( 13.17/2.40 binunion 13.17/2.40 @ 13.17/2.40 X164 @ 13.17/2.40 X166 ) ) ) ) ) ) ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 cartprodpairin ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 cartprodmempair1 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 cartprodmempair ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 setunionE2 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 setunionsingleton1 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 setunionsingleton2 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 setunionsingleton ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 singletonprop ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ex1E1 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ex1I ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ex1I2 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 singletonsuniq ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 setukpairinjL1 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 kfstsingleton ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 theprop ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 kfstpairEq ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 cartprodfstin ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 setukpairinjL2 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 setukpairinjL ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 setukpairinjR11 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 setukpairinjR12 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 setukpairinjR1 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 upairequniteq ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 setukpairinjR2 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 setukpairinjR ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ksndsingleton ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ksndpairEq ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 kpairsurjEq ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 cartprodsndin ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 cartprodpairmemEL ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 cartprodpairmemER ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 cartprodmempaircEq ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 cartprodfstpairEq ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 cartprodsndpairEq ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 cartprodpairsurjEq ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 dpsetconstrI ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 dpsetconstrSub ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 setOfPairsIsBReln ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 dpsetconstrERa ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 dpsetconstrEL1 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 dpsetconstrEL2 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 dpsetconstrER ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 funcImageSingleton ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 apProp ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 app ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 infuncsetfunc ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ap2p ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 funcinfuncset ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 lamProp ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 lamp ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 lam2p ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 brelnall1 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 brelnall2 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ex1E2 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 funcGraphProp1 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 funcGraphProp3 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 funcGraphProp2 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 funcextLem ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 funcGraphProp4 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 subbreln ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 eqbreln ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 funcext ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 funcext2 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ap2apEq1 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ap2apEq2 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 beta1 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 eta1 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 lam2lamEq ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 beta2 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 eta2 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 iffalseProp1 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 iffalseProp2 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 iftrueProp1 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 iftrueProp2 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ifSingleton ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ifp ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 theeq ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 iftrue ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 iffalse ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 iftrueorfalse ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X172:$i, 13.17/2.40 X174:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X174 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X172 ) ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X176:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X176 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X172 ) ) => 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 ( 13.17/2.40 binintersect 13.17/2.40 @ 13.17/2.40 X174 @ 13.17/2.40 X176 ) @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X172 ) ) ) ) ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X178:$i, 13.17/2.40 X180:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X180 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X178 ) ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X182:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X182 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X178 ) ) => 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 ( 13.17/2.40 binunion 13.17/2.40 @ 13.17/2.40 X180 @ 13.17/2.40 X182 ) @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X178 ) ) ) ) ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X184:$i, 13.17/2.40 X186:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X186 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X184 ) ) => 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X186 ) @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X184 ) ) ) ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 setminusT_lem ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 complementT_lem ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X188:$i, 13.17/2.40 X190:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X190 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X188 ) ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X192:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X192 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X188 ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X194:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X194 @ 13.17/2.40 X188 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X194 @ 13.17/2.40 X190 ) => 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X194 @ 13.17/2.40 X192 ) ) ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X196:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X196 @ 13.17/2.40 X188 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X196 @ 13.17/2.40 X192 ) => 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X196 @ 13.17/2.40 X190 ) ) ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 X190 ) = 13.17/2.40 ( 13.17/2.40 X192 ) ) ) ) ) ) ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 subsetTI ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X198:$i, 13.17/2.40 X200:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X200 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X198 ) ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X202:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X202 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X198 ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X204:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X204 @ 13.17/2.40 X198 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X204 @ 13.17/2.40 X200 ) => 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X204 @ 13.17/2.40 X202 ) ) ) ) => 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X200 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X202 ) ) ) ) ) ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X206:$i, 13.17/2.40 X208:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X208 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X206 ) ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X210:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X210 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X206 ) ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X212:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X212 @ 13.17/2.40 X206 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X208 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X210 ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X212 @ 13.17/2.40 X208 ) => 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X212 @ 13.17/2.40 X210 ) ) ) ) ) ) ) ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 complementTI1 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 complementTE1 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X214:$i, 13.17/2.40 X216:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X216 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X214 ) ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X218:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X218 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X214 ) ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X220:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X220 @ 13.17/2.40 X214 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ~ 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X220 @ 13.17/2.40 X216 ) ) => 13.17/2.40 ( 13.17/2.40 ~ 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X220 @ 13.17/2.40 ( 13.17/2.40 binintersect 13.17/2.40 @ 13.17/2.40 X216 @ 13.17/2.40 X218 ) ) ) ) ) ) ) ) ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X222:$i, 13.17/2.40 X224:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X224 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X222 ) ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X226:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X226 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X222 ) ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X228:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X228 @ 13.17/2.40 X222 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ~ 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X228 @ 13.17/2.40 X226 ) ) => 13.17/2.40 ( 13.17/2.40 ~ 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X228 @ 13.17/2.40 ( 13.17/2.40 binintersect 13.17/2.40 @ 13.17/2.40 X224 @ 13.17/2.40 X226 ) ) ) ) ) ) ) ) ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 contrasubsetT ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 contrasubsetT1 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 contrasubsetT2 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 contrasubsetT3 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 doubleComplementI1 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 doubleComplementE1 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 doubleComplementSub1 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 doubleComplementSub2 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 doubleComplementEq ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X230:$i, 13.17/2.40 X232:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X232 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X230 ) ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X234:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X234 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X230 ) ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X236:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X236 @ 13.17/2.40 X230 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X236 @ 13.17/2.40 ( 13.17/2.40 setminus 13.17/2.40 @ 13.17/2.40 X230 @ 13.17/2.40 X232 ) ) => 13.17/2.40 ( 13.17/2.40 ~ 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X236 @ 13.17/2.40 ( 13.17/2.40 binintersect 13.17/2.40 @ 13.17/2.40 X232 @ 13.17/2.40 X234 ) ) ) ) ) ) ) ) ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X238:$i, 13.17/2.40 X240:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X240 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X238 ) ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X242:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X242 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X238 ) ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X244:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X244 @ 13.17/2.40 X238 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X244 @ 13.17/2.40 ( 13.17/2.40 setminus 13.17/2.40 @ 13.17/2.40 X238 @ 13.17/2.40 X240 ) ) => 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X244 @ 13.17/2.40 ( 13.17/2.40 setminus 13.17/2.40 @ 13.17/2.40 X238 @ 13.17/2.40 ( 13.17/2.40 binintersect 13.17/2.40 @ 13.17/2.40 X240 @ 13.17/2.40 X242 ) ) ) ) ) ) ) ) ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X246:$i, 13.17/2.40 X248:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X248 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X246 ) ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X250:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X250 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X246 ) ) => 13.17/2.40 ( 13.17/2.40 subset @ 13.17/2.40 ( 13.17/2.40 setminus 13.17/2.40 @ 13.17/2.40 X246 @ 13.17/2.40 X248 ) @ 13.17/2.40 ( 13.17/2.40 setminus 13.17/2.40 @ 13.17/2.40 X246 @ 13.17/2.40 ( 13.17/2.40 binintersect 13.17/2.40 @ 13.17/2.40 X248 @ 13.17/2.40 X250 ) ) ) ) ) ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X252:$i, 13.17/2.40 X254:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X254 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X252 ) ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X256:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X256 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X252 ) ) => 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 ( 13.17/2.40 setminus 13.17/2.40 @ 13.17/2.40 X252 @ 13.17/2.40 X254 ) @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 ( 13.17/2.40 setminus 13.17/2.40 @ 13.17/2.40 X252 @ 13.17/2.40 ( 13.17/2.40 binintersect 13.17/2.40 @ 13.17/2.40 X254 @ 13.17/2.40 X256 ) ) ) ) ) ) ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 contraSubsetComplement ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 complementTcontraSubset ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X258:$i, 13.17/2.40 X260:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X260 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X258 ) ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X262:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X262 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X258 ) ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X264:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X264 @ 13.17/2.40 X258 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ~ 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X264 @ 13.17/2.40 ( 13.17/2.40 binunion 13.17/2.40 @ 13.17/2.40 X260 @ 13.17/2.40 X262 ) ) ) => 13.17/2.40 ( 13.17/2.40 ~ 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X264 @ 13.17/2.40 X260 ) ) ) ) ) ) ) ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X266:$i, 13.17/2.40 X268:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X268 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X266 ) ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X270:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X270 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X266 ) ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X272:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X272 @ 13.17/2.40 X266 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ~ 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X272 @ 13.17/2.40 ( 13.17/2.40 binunion 13.17/2.40 @ 13.17/2.40 X268 @ 13.17/2.40 X270 ) ) ) => 13.17/2.40 ( 13.17/2.40 ~ 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X272 @ 13.17/2.40 X270 ) ) ) ) ) ) ) ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X274:$i, 13.17/2.40 X276:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X276 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X274 ) ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X278:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X278 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X274 ) ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X280:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X280 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X274 ) ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X282:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X282 @ 13.17/2.40 X274 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X282 @ 13.17/2.40 ( 13.17/2.40 binintersect 13.17/2.40 @ 13.17/2.40 X276 @ 13.17/2.40 X278 ) ) => 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X282 @ 13.17/2.40 ( 13.17/2.40 binunion 13.17/2.40 @ 13.17/2.40 X276 @ 13.17/2.40 X280 ) ) ) ) ) ) ) ) ) ) ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X284:$i, 13.17/2.40 X286:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X286 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X284 ) ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X288:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X288 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X284 ) ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X290:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X290 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X284 ) ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X292:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X292 @ 13.17/2.40 X284 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X292 @ 13.17/2.40 ( 13.17/2.40 binintersect 13.17/2.40 @ 13.17/2.40 X286 @ 13.17/2.40 X288 ) ) => 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X292 @ 13.17/2.40 ( 13.17/2.40 binunion 13.17/2.40 @ 13.17/2.40 X288 @ 13.17/2.40 X290 ) ) ) ) ) ) ) ) ) ) ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X294:$i, 13.17/2.40 X296:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X296 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X294 ) ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X298:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X298 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X294 ) ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X300:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X300 @ 13.17/2.40 ( 13.17/2.40 powerset 13.17/2.40 @ 13.17/2.40 X294 ) ) => 13.17/2.40 ( 13.17/2.40 ![ 13.17/2.40 X302:$i]: 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X302 @ 13.17/2.40 X294 ) => 13.17/2.40 ( 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X302 @ 13.17/2.40 ( 13.17/2.40 binintersect 13.17/2.40 @ 13.17/2.40 X296 @ 13.17/2.40 X298 ) ) => 13.17/2.40 ( 13.17/2.40 in @ 13.17/2.40 X302 @ 13.17/2.40 ( 13.17/2.40 binintersect 13.17/2.40 @ 13.17/2.40 ( 13.17/2.40 binunion 13.17/2.40 @ 13.17/2.40 X296 @ 13.17/2.40 X300 ) @ 13.17/2.40 ( 13.17/2.40 binunion 13.17/2.40 @ 13.17/2.40 X298 @ 13.17/2.40 X300 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 13.17/2.40 inference('cnf.neg', [status(esa)], [zf_stmt_3])). 13.17/2.40 thf(zip_derived_cl53, plain, 13.17/2.40 (![X4 : $i, X5 : $i, X6 : $i]: 13.17/2.40 ( (in @ X4 @ (binunion @ X5 @ X6)) | ~ (in @ X4 @ X5))), 13.17/2.40 inference('cnf', [status(esa)], [zf_stmt_4])). 13.17/2.40 thf(zip_derived_cl53, plain, 13.17/2.40 (![X4 : $i, X5 : $i, X6 : $i]: 13.17/2.40 ( (in @ X4 @ (binunion @ X5 @ X6)) | ~ (in @ X4 @ X5))), 13.17/2.40 inference('cnf', [status(esa)], [zf_stmt_4])). 13.17/2.40 thf(zip_derived_cl226, plain, 13.17/2.40 (![X122 : $i, X123 : $i, X124 : $i]: 13.17/2.40 (~ (in @ X122 @ X123) 13.17/2.40 | (in @ X122 @ (binintersect @ X124 @ X123)) 13.17/2.40 | ~ (in @ X122 @ X124))), 13.17/2.40 inference('cnf', [status(esa)], [zf_stmt_4])). 13.17/2.40 thf(zip_derived_cl136, plain, 13.17/2.40 (~ (in @ sk__154 @ 13.17/2.40 (binintersect @ (binunion @ sk__151 @ sk__153) @ 13.17/2.40 (binunion @ sk__152 @ sk__153)))), 13.17/2.40 inference('cnf', [status(esa)], [zf_stmt_4])). 13.17/2.40 thf(zip_derived_cl2556, plain, 13.17/2.40 ((~ (in @ sk__154 @ (binunion @ sk__151 @ sk__153)) 13.17/2.40 | ~ (in @ sk__154 @ (binunion @ sk__152 @ sk__153)))), 13.17/2.40 inference('sup-', [status(thm)], [zip_derived_cl226, zip_derived_cl136])). 13.17/2.40 thf(zip_derived_cl2602, plain, 13.17/2.40 ((~ (in @ sk__154 @ sk__151) 13.17/2.40 | ~ (in @ sk__154 @ (binunion @ sk__152 @ sk__153)))), 13.17/2.40 inference('sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl2556])). 13.17/2.40 thf(zip_derived_cl137, plain, 13.17/2.40 ( (in @ sk__154 @ (binintersect @ sk__151 @ sk__152))), 13.17/2.40 inference('cnf', [status(esa)], [zf_stmt_4])). 13.17/2.40 thf(zip_derived_cl225, plain, 13.17/2.40 (![X119 : $i, X120 : $i, X121 : $i]: 13.17/2.40 ( (in @ X119 @ X120) | ~ (in @ X119 @ (binintersect @ X120 @ X121)))), 13.17/2.40 inference('cnf', [status(esa)], [zf_stmt_4])). 13.17/2.40 thf(zip_derived_cl388, plain, ( (in @ sk__154 @ sk__151)), 13.17/2.40 inference('sup-', [status(thm)], [zip_derived_cl137, zip_derived_cl225])). 13.17/2.40 thf(zip_derived_cl2607, plain, 13.17/2.40 (~ (in @ sk__154 @ (binunion @ sk__152 @ sk__153))), 13.17/2.40 inference('demod', [status(thm)], [zip_derived_cl2602, zip_derived_cl388])). 13.17/2.40 thf(zip_derived_cl2612, plain, (~ (in @ sk__154 @ sk__152)), 13.17/2.40 inference('sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl2607])). 13.17/2.40 thf(zip_derived_cl137, plain, 13.17/2.40 ( (in @ sk__154 @ (binintersect @ sk__151 @ sk__152))), 13.17/2.40 inference('cnf', [status(esa)], [zf_stmt_4])). 13.17/2.40 thf(zip_derived_cl223, plain, 13.17/2.40 (![X114 : $i, X115 : $i, X116 : $i]: 13.17/2.40 ( (in @ X114 @ X115) | ~ (in @ X114 @ (binintersect @ X116 @ X115)))), 13.17/2.40 inference('cnf', [status(esa)], [zf_stmt_4])). 13.17/2.40 thf(zip_derived_cl370, plain, ( (in @ sk__154 @ sk__152)), 13.17/2.40 inference('sup-', [status(thm)], [zip_derived_cl137, zip_derived_cl223])). 13.17/2.40 thf(zip_derived_cl2617, plain, ($false), 13.17/2.40 inference('demod', [status(thm)], [zip_derived_cl2612, zip_derived_cl370])). 13.17/2.40 13.17/2.40 % SZS output end Refutation 13.17/2.40 13.17/2.40 13.17/2.40 % Terminating... 13.20/2.51 % Runner terminated. 13.21/2.53 % Zipperpin 1.5 exiting 13.21/2.54 EOF