0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.16 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KZrf1YgohR true 0.15/0.37 % Computer : n016.cluster.edu 0.15/0.37 % Model : x86_64 x86_64 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.37 % Memory : 8042.1875MB 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.37 % CPULimit : 1440 0.15/0.37 % WCLimit : 180 0.15/0.37 % DateTime : Thu Jul 4 09:07:09 EDT 2024 0.15/0.37 % CPUTime : 0.15/0.37 % Running portfolio for 1440 s 0.15/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.15/0.37 % Number of cores: 8 0.15/0.37 % Python version: Python 3.6.8 0.15/0.37 % Running in HO mode 0.56/0.70 % Total configuration time : 828 0.56/0.70 % Estimated wc time : 1656 0.56/0.70 % Estimated cpu time (8 cpus) : 207.0 0.58/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.58/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.58/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.58/0.78 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.58/0.78 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.58/0.79 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.58/0.81 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.58/0.81 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 11.96/2.15 % Solved by lams/40_c_ic.sh. 11.96/2.15 % done 1399 iterations in 1.336s 11.96/2.15 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 11.96/2.15 % SZS output start Refutation 11.96/2.15 thf(setadjoinAx_type, type, setadjoinAx: $o). 11.96/2.15 thf(notdexE_type, type, notdexE: $o). 11.96/2.15 thf(setukpairinjL2_type, type, setukpairinjL2: $o). 11.96/2.15 thf(setunionAx_type, type, setunionAx: $o). 11.96/2.15 thf(setminusELneg_type, type, setminusELneg: $o). 11.96/2.15 thf(cartprodsndin_type, type, cartprodsndin: $o). 11.96/2.15 thf(ex1E1_type, type, ex1E1: $o). 11.96/2.15 thf(powersetE_type, type, powersetE: $o). 11.96/2.15 thf(omegaSAx_type, type, omegaSAx: $o). 11.96/2.15 thf(exuI1_type, type, exuI1: $o). 11.96/2.15 thf(exuI2_type, type, exuI2: $o). 11.96/2.15 thf(notequalI2_type, type, notequalI2: $o). 11.96/2.15 thf(setukpairinjL_type, type, setukpairinjL: $o). 11.96/2.15 thf(kpairiskpair_type, type, kpairiskpair: $o). 11.96/2.15 thf(upairsubunion_type, type, upairsubunion: $o). 11.96/2.15 thf(funcGraphProp3_type, type, funcGraphProp3: $o). 11.96/2.15 thf(cartprodmempaircEq_type, type, cartprodmempaircEq: $o). 11.96/2.15 thf(powerset__Cong_type, type, powerset__Cong: $o). 11.96/2.15 thf(setminusILneg_type, type, setminusILneg: $o). 11.96/2.15 thf(wellorderingAx_type, type, wellorderingAx: $o). 11.96/2.15 thf(ksndpairEq_type, type, ksndpairEq: $o). 11.96/2.15 thf(funcGraphProp2_type, type, funcGraphProp2: $o). 11.96/2.15 thf(setadjoinSub2_type, type, setadjoinSub2: $o). 11.96/2.15 thf(binintersectSubset5_type, type, binintersectSubset5: $o). 11.96/2.15 thf(iftrue_type, type, iftrue: $o). 11.96/2.15 thf(upairinpowunion_type, type, upairinpowunion: $o). 11.96/2.15 thf(ifSingleton_type, type, ifSingleton: $o). 11.96/2.15 thf(setoftrueEq_type, type, setoftrueEq: $o). 11.96/2.15 thf(funcImageSingleton_type, type, funcImageSingleton: $o). 11.96/2.15 thf(dpsetconstrERa_type, type, dpsetconstrERa: $o). 11.96/2.15 thf(lamProp_type, type, lamProp: $o). 11.96/2.15 thf(cartprodpairmemEL_type, type, cartprodpairmemEL: $o). 11.96/2.15 thf(emptyset__Cong_type, type, emptyset__Cong: $o). 11.96/2.15 thf(dpsetconstrER_type, type, dpsetconstrER: $o). 11.96/2.15 thf(sepInPowerset_type, type, sepInPowerset: $o). 11.96/2.15 thf(setukpairIR_type, type, setukpairIR: $o). 11.96/2.15 thf(setukpairinjR1_type, type, setukpairinjR1: $o). 11.96/2.15 thf(lam2p_type, type, lam2p: $o). 11.96/2.15 thf(binunionE_type, type, binunionE: $o). 11.96/2.15 thf(setext_type, type, setext: $o). 11.96/2.15 thf(emptyinPowerset_type, type, emptyinPowerset: $o). 11.96/2.15 thf(ubforcartprodlem1_type, type, ubforcartprodlem1: $o). 11.96/2.15 thf(descr__Cong_type, type, descr__Cong: $o). 11.96/2.15 thf(kfstsingleton_type, type, kfstsingleton: $o). 11.96/2.15 thf(eqbreln_type, type, eqbreln: $o). 11.96/2.15 thf(binintersectSubset1_type, type, binintersectSubset1: $o). 11.96/2.15 thf(in_type, type, in: $i > $i > $o). 11.96/2.15 thf(binunionT_lem_type, type, binunionT_lem: $o). 11.96/2.15 thf(quantDeMorgan1_type, type, quantDeMorgan1: $o). 11.96/2.15 thf(complementT_lem_type, type, complementT_lem: $o). 11.96/2.15 thf(sk__76_type, type, sk__76: $i > $i > $i). 11.96/2.15 thf(kpairsurjEq_type, type, kpairsurjEq: $o). 11.96/2.15 thf(setadjoinIR_type, type, setadjoinIR: $o). 11.96/2.15 thf(beta1_type, type, beta1: $o). 11.96/2.15 thf(setadjoin__Cong_type, type, setadjoin__Cong: $o). 11.96/2.15 thf(symdiffI2_type, type, symdiffI2: $o). 11.96/2.15 thf(iftrueProp2_type, type, iftrueProp2: $o). 11.96/2.15 thf(upairset2IR_type, type, upairset2IR: $o). 11.96/2.15 thf(iffalseProp2_type, type, iffalseProp2: $o). 11.96/2.15 thf(subsetE_type, type, subsetE: $o). 11.96/2.15 thf(prop2set2propI_type, type, prop2set2propI: $o). 11.96/2.15 thf(dsetconstrEL_type, type, dsetconstrEL: $o). 11.96/2.15 thf(setbeta_type, type, setbeta: $o). 11.96/2.15 thf(eqinunit_type, type, eqinunit: $o). 11.96/2.15 thf(upairsetIL_type, type, upairsetIL: $o). 11.96/2.15 thf(powersetI1_type, type, powersetI1: $o). 11.96/2.15 thf(kfstpairEq_type, type, kfstpairEq: $o). 11.96/2.15 thf(binintersectSubset3_type, type, binintersectSubset3: $o). 11.96/2.15 thf(setminusIRneg_type, type, setminusIRneg: $o). 11.96/2.15 thf(ap2apEq1_type, type, ap2apEq1: $o). 11.96/2.15 thf(powersetAx_type, type, powersetAx: $o). 11.96/2.15 thf(binintersectSubset4_type, type, binintersectSubset4: $o). 11.96/2.15 thf(singletoninpowunion_type, type, singletoninpowunion: $o). 11.96/2.15 thf(powersetI_type, type, powersetI: $o). 11.96/2.15 thf(cartprodmempair_type, type, cartprodmempair: $o). 11.96/2.15 thf(upairsetIR_type, type, upairsetIR: $o). 11.96/2.15 thf(lamp_type, type, lamp: $o). 11.96/2.15 thf(dpsetconstrEL1_type, type, dpsetconstrEL1: $o). 11.96/2.15 thf(inCongP_type, type, inCongP: $o). 11.96/2.15 thf(setadjoinSub_type, type, setadjoinSub: $o). 11.96/2.15 thf(exuE3e_type, type, exuE3e: $o). 11.96/2.15 thf(emptysetE_type, type, emptysetE: $o). 11.96/2.15 thf(binintersectSubset2_type, type, binintersectSubset2: $o). 11.96/2.15 thf(setunionI_type, type, setunionI: $o). 11.96/2.15 thf(setunion__Cong_type, type, setunion__Cong: $o). 11.96/2.15 thf(prop2setI_type, type, prop2setI: $o). 11.96/2.15 thf(singletonsuniq_type, type, singletonsuniq: $o). 11.96/2.15 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o). 11.96/2.15 thf(setminusER_type, type, setminusER: $o). 11.96/2.15 thf(exuE2_type, type, exuE2: $o). 11.96/2.15 thf(emptyset_type, type, emptyset: $i). 11.96/2.15 thf(setukpairinjR11_type, type, setukpairinjR11: $o). 11.96/2.15 thf(ex1I_type, type, ex1I: $o). 11.96/2.15 thf(ex1E2_type, type, ex1E2: $o). 11.96/2.15 thf(setukpairinjL1_type, type, setukpairinjL1: $o). 11.96/2.15 thf(powersetsubset_type, type, powersetsubset: $o). 11.96/2.15 thf(subPowSU_type, type, subPowSU: $o). 11.96/2.15 thf(notequalI1_type, type, notequalI1: $o). 11.96/2.15 thf(notinemptyset_type, type, notinemptyset: $o). 11.96/2.15 thf(lam2lamEq_type, type, lam2lamEq: $o). 11.96/2.15 thf(nonemptyI1_type, type, nonemptyI1: $o). 11.96/2.15 thf(subsetTrans_type, type, subsetTrans: $o). 11.96/2.15 thf(kpairp_type, type, kpairp: $o). 11.96/2.15 thf(setukpairinjR12_type, type, setukpairinjR12: $o). 11.96/2.15 thf(setminusI_type, type, setminusI: $o). 11.96/2.15 thf(binunionIL_type, type, binunionIL: $o). 11.96/2.15 thf(dpsetconstrSub_type, type, dpsetconstrSub: $o). 11.96/2.15 thf(setunionsingleton_type, type, setunionsingleton: $o). 11.96/2.15 thf(subsetE2_type, type, subsetE2: $o). 11.96/2.15 thf(singletonsswitch_type, type, singletonsswitch: $o). 11.96/2.15 thf(ubforcartprodlem3_type, type, ubforcartprodlem3: $o). 11.96/2.15 thf(beta2_type, type, beta2: $o). 11.96/2.15 thf(dpsetconstrI_type, type, dpsetconstrI: $o). 11.96/2.15 thf(setextsub_type, type, setextsub: $o). 11.96/2.15 thf(binunionLsub_type, type, binunionLsub: $o). 11.96/2.15 thf(setunionsingleton1_type, type, setunionsingleton1: $o). 11.96/2.15 thf(iftrueorfalse_type, type, iftrueorfalse: $o). 11.96/2.15 thf(emptysetsubset_type, type, emptysetsubset: $o). 11.96/2.15 thf(quantDeMorgan3_type, type, quantDeMorgan3: $o). 11.96/2.15 thf(cartprodpairsurjEq_type, type, cartprodpairsurjEq: $o). 11.96/2.15 thf(setOfPairsIsBReln_type, type, setOfPairsIsBReln: $o). 11.96/2.15 thf(setunionE_type, type, setunionE: $o). 11.96/2.15 thf(ksndsingleton_type, type, ksndsingleton: $o). 11.96/2.15 thf(setminusSubset1_type, type, setminusSubset1: $o). 11.96/2.15 thf(powersetT_lem_type, type, powersetT_lem: $o). 11.96/2.15 thf(emptyinunitempty_type, type, emptyinunitempty: $o). 11.96/2.15 thf(binunionIR_type, type, binunionIR: $o). 11.96/2.15 thf(theeq_type, type, theeq: $o). 11.96/2.15 thf(setadjoinE_type, type, setadjoinE: $o). 11.96/2.15 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o). 11.96/2.15 thf(infuncsetfunc_type, type, infuncsetfunc: $o). 11.96/2.15 thf(ap2apEq2_type, type, ap2apEq2: $o). 11.96/2.15 thf(ap2p_type, type, ap2p: $o). 11.96/2.15 thf(setadjoinIL_type, type, setadjoinIL: $o). 11.96/2.15 thf(cartprodsndpairEq_type, type, cartprodsndpairEq: $o). 11.96/2.15 thf(exuE1_type, type, exuE1: $o). 11.96/2.15 thf(ubforcartprodlem2_type, type, ubforcartprodlem2: $o). 11.96/2.15 thf(binintersectRsub_type, type, binintersectRsub: $o). 11.96/2.15 thf(setminusLsub_type, type, setminusLsub: $o). 11.96/2.15 thf(funcextLem_type, type, funcextLem: $o). 11.96/2.15 thf(setukpairinjR_type, type, setukpairinjR: $o). 11.96/2.15 thf(notinsingleton_type, type, notinsingleton: $o). 11.96/2.15 thf(eqimpsubset2_type, type, eqimpsubset2: $o). 11.96/2.15 thf(exuEu_type, type, exuEu: $o). 11.96/2.15 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o). 11.96/2.15 thf(sk__72_type, type, sk__72: $i). 11.96/2.15 thf(upairsetE_type, type, upairsetE: $o). 11.96/2.15 thf(omega0Ax_type, type, omega0Ax: $o). 11.96/2.15 thf(notsubsetI_type, type, notsubsetI: $o). 11.96/2.15 thf(iffalseProp1_type, type, iffalseProp1: $o). 11.96/2.15 thf(quantDeMorgan4_type, type, quantDeMorgan4: $o). 11.96/2.15 thf(setextAx_type, type, setextAx: $o). 11.96/2.15 thf(cartprodpairmemER_type, type, cartprodpairmemER: $o). 11.96/2.15 thf(sk__73_type, type, sk__73: $i). 11.96/2.15 thf(powersetE1_type, type, powersetE1: $o). 11.96/2.15 thf(bs114d_type, type, bs114d: $o). 11.96/2.15 thf(noeltsimpempty_type, type, noeltsimpempty: $o). 11.96/2.15 thf(ifp_type, type, ifp: $o). 11.96/2.15 thf(binintersectLsub_type, type, binintersectLsub: $o). 11.96/2.15 thf(subsetI1_type, type, subsetI1: $o). 11.96/2.15 thf(symdiffE_type, type, symdiffE: $o). 11.96/2.15 thf(descrp_type, type, descrp: $o). 11.96/2.15 thf(dsetconstr__Cong_type, type, dsetconstr__Cong: $o). 11.96/2.15 thf(foundationAx_type, type, foundationAx: $o). 11.96/2.15 thf(emptysetAx_type, type, emptysetAx: $o). 11.96/2.15 thf(emptyI_type, type, emptyI: $o). 11.96/2.15 thf(setadjoinOr_type, type, setadjoinOr: $o). 11.96/2.15 thf(eta2_type, type, eta2: $o). 11.96/2.15 thf(binintersectEL_type, type, binintersectEL: $o). 11.96/2.15 thf(emptyE1_type, type, emptyE1: $o). 11.96/2.15 thf(emptyInPowerset_type, type, emptyInPowerset: $o). 11.96/2.15 thf(vacuousDall_type, type, vacuousDall: $o). 11.96/2.15 thf(dsetconstrER_type, type, dsetconstrER: $o). 11.96/2.15 thf(binintersectI_type, type, binintersectI: $o). 11.96/2.15 thf(funcext_type, type, funcext: $o). 11.96/2.15 thf(funcGraphProp4_type, type, funcGraphProp4: $o). 11.96/2.15 thf(sk__74_type, type, sk__74: $i). 11.96/2.15 thf(cartprodpairin_type, type, cartprodpairin: $o). 11.96/2.15 thf(cartprodmempair1_type, type, cartprodmempair1: $o). 11.96/2.15 thf(brelnall2_type, type, brelnall2: $o). 11.96/2.15 thf(setextT_type, type, setextT: $o). 11.96/2.15 thf(ex1I2_type, type, ex1I2: $o). 11.96/2.15 thf(symdiffI1_type, type, symdiffI1: $o). 11.96/2.15 thf(setukpairinjR2_type, type, setukpairinjR2: $o). 11.96/2.15 thf(dpsetconstrEL2_type, type, dpsetconstrEL2: $o). 11.96/2.15 thf(theprop_type, type, theprop: $o). 11.96/2.15 thf(subsetI2_type, type, subsetI2: $o). 11.96/2.15 thf(setminusT_lem_type, type, setminusT_lem: $o). 11.96/2.15 thf(symdiffIneg1_type, type, symdiffIneg1: $o). 11.96/2.15 thf(setminusERneg_type, type, setminusERneg: $o). 11.96/2.15 thf(symdiffIneg2_type, type, symdiffIneg2: $o). 11.96/2.15 thf(omega__Cong_type, type, omega__Cong: $o). 11.96/2.15 thf(subsetRefl_type, type, subsetRefl: $o). 11.96/2.15 thf(uniqinunit_type, type, uniqinunit: $o). 11.96/2.15 thf(setminusSubset2_type, type, setminusSubset2: $o). 11.96/2.15 thf(prop2setE_type, type, prop2setE: $o). 11.96/2.15 thf(binunionEcases_type, type, binunionEcases: $o). 11.96/2.15 thf(funcinfuncset_type, type, funcinfuncset: $o). 11.96/2.15 thf(nonemptyI_type, type, nonemptyI: $o). 11.96/2.15 thf(app_type, type, app: $o). 11.96/2.15 thf(disjointsetsI1_type, type, disjointsetsI1: $o). 11.96/2.15 thf(exuE3u_type, type, exuE3u: $o). 11.96/2.15 thf(eta1_type, type, eta1: $o). 11.96/2.15 thf(setminusEL_type, type, setminusEL: $o). 11.96/2.15 thf(cartprodfstin_type, type, cartprodfstin: $o). 11.96/2.15 thf(setunionsingleton2_type, type, setunionsingleton2: $o). 11.96/2.15 thf(sepSubset_type, type, sepSubset: $o). 11.96/2.15 thf(upairset2E_type, type, upairset2E: $o). 11.96/2.15 thf(eqimpsubset1_type, type, eqimpsubset1: $o). 11.96/2.15 thf(exuI3_type, type, exuI3: $o). 11.96/2.15 thf(cartprodfstpairEq_type, type, cartprodfstpairEq: $o). 11.96/2.15 thf(apProp_type, type, apProp: $o). 11.96/2.15 thf(notdallE_type, type, notdallE: $o). 11.96/2.15 thf(iftrueProp1_type, type, iftrueProp1: $o). 11.96/2.15 thf(binintersectER_type, type, binintersectER: $o). 11.96/2.15 thf(brelnall1_type, type, brelnall1: $o). 11.96/2.15 thf(powerset_type, type, powerset: $i > $i). 11.96/2.15 thf(dsetconstrI_type, type, dsetconstrI: $o). 11.96/2.15 thf(funcGraphProp1_type, type, funcGraphProp1: $o). 11.96/2.15 thf(binintersectT_lem_type, type, binintersectT_lem: $o). 11.96/2.15 thf(setadjoin_type, type, setadjoin: $i > $i > $i). 11.96/2.15 thf(exu__Cong_type, type, exu__Cong: $o). 11.96/2.15 thf(quantDeMorgan2_type, type, quantDeMorgan2: $o). 11.96/2.15 thf(secondinupair_type, type, secondinupair: $o). 11.96/2.15 thf(singletonprop_type, type, singletonprop: $o). 11.96/2.15 thf(singletonsubset_type, type, singletonsubset: $o). 11.96/2.15 thf(singletoninpowerset_type, type, singletoninpowerset: $o). 11.96/2.15 thf(subsetemptysetimpeq_type, type, subsetemptysetimpeq: $o). 11.96/2.15 thf(replAx_type, type, replAx: $o). 11.96/2.15 thf(upairequniteq_type, type, upairequniteq: $o). 11.96/2.15 thf(nonemptyE1_type, type, nonemptyE1: $o). 11.96/2.15 thf(omegaIndAx_type, type, omegaIndAx: $o). 11.96/2.15 thf(setukpairIL_type, type, setukpairIL: $o). 11.96/2.15 thf(setunionE2_type, type, setunionE2: $o). 11.96/2.15 thf(inPowerset_type, type, inPowerset: $o). 11.96/2.15 thf(iffalse_type, type, iffalse: $o). 11.96/2.15 thf(funcext2_type, type, funcext2: $o). 11.96/2.15 thf(subset_type, type, subset: $i > $i > $o). 11.96/2.15 thf(subbreln_type, type, subbreln: $o). 11.96/2.15 thf(in__Cong_type, type, in__Cong: $o). 11.96/2.15 thf(binunionRsub_type, type, binunionRsub: $o). 11.96/2.15 thf(subset2powerset_type, type, subset2powerset: $o). 11.96/2.15 thf(setextT, axiom, setextT = 11.96/2.15 (![A:$i,X:$i]: 11.96/2.15 ( ( in @ X @ ( powerset @ A ) ) => 11.96/2.15 ( ![Y:$i]: 11.96/2.15 ( ( in @ Y @ ( powerset @ A ) ) => 11.96/2.15 ( ( ![Xx:$i]: 11.96/2.15 ( ( in @ Xx @ A ) => ( ( in @ Xx @ X ) => ( in @ Xx @ Y ) ) ) ) => 11.96/2.15 ( ( ![Xx:$i]: 11.96/2.15 ( ( in @ Xx @ A ) => ( ( in @ Xx @ Y ) => ( in @ Xx @ X ) ) ) ) => 11.96/2.15 ( ( X ) = ( Y ) ) ) ) ) ) ))). 11.96/2.15 thf('0', plain, 11.96/2.15 (( setextT ) = 11.96/2.15 ( ![X4:$i,X6:$i]: 11.96/2.15 ( ( in @ X6 @ ( powerset @ X4 ) ) => 11.96/2.15 ( ![X8:$i]: 11.96/2.15 ( ( in @ X8 @ ( powerset @ X4 ) ) => 11.96/2.15 ( ( ![X10:$i]: 11.96/2.15 ( ( in @ X10 @ X4 ) => 11.96/2.15 ( ( in @ X10 @ X6 ) => ( in @ X10 @ X8 ) ) ) ) => 11.96/2.15 ( ( ![X12:$i]: 11.96/2.15 ( ( in @ X12 @ X4 ) => 11.96/2.15 ( ( in @ X12 @ X8 ) => ( in @ X12 @ X6 ) ) ) ) => 11.96/2.15 ( ( X6 ) = ( X8 ) ) ) ) ) ) ) )), 11.96/2.15 define([status(thm)])). 11.96/2.15 thf(powersetT_lem, axiom, powersetT_lem = 11.96/2.15 (![A:$i,X:$i]: 11.96/2.15 ( ( in @ X @ ( powerset @ A ) ) => 11.96/2.15 ( in @ ( powerset @ X ) @ ( powerset @ ( powerset @ A ) ) ) ))). 11.96/2.15 thf('1', plain, 11.96/2.15 (( powersetT_lem ) = 11.96/2.15 ( ![X4:$i,X6:$i]: 11.96/2.15 ( ( in @ X6 @ ( powerset @ X4 ) ) => 11.96/2.15 ( in @ ( powerset @ X6 ) @ ( powerset @ ( powerset @ X4 ) ) ) ) )), 11.96/2.15 define([status(thm)])). 11.96/2.15 thf(singletoninpowerset, axiom, singletoninpowerset = 11.96/2.15 (![A:$i,Xx:$i]: 11.96/2.15 ( ( in @ Xx @ A ) => 11.96/2.15 ( in @ ( setadjoin @ Xx @ emptyset ) @ ( powerset @ A ) ) ))). 11.96/2.15 thf('2', plain, 11.96/2.15 (( singletoninpowerset ) = 11.96/2.15 ( ![X4:$i,X6:$i]: 11.96/2.15 ( ( in @ X6 @ X4 ) => 11.96/2.15 ( in @ ( setadjoin @ X6 @ emptyset ) @ ( powerset @ X4 ) ) ) )), 11.96/2.15 define([status(thm)])). 11.96/2.15 thf(singletonsubset, axiom, singletonsubset = 11.96/2.15 (![A:$i,Xx:$i]: 11.96/2.15 ( ( in @ Xx @ A ) => ( subset @ ( setadjoin @ Xx @ emptyset ) @ A ) ))). 11.96/2.15 thf('3', plain, 11.96/2.15 (( singletonsubset ) = 11.96/2.15 ( ![X4:$i,X6:$i]: 11.96/2.15 ( ( in @ X6 @ X4 ) => ( subset @ ( setadjoin @ X6 @ emptyset ) @ X4 ) ) )), 11.96/2.15 define([status(thm)])). 11.96/2.15 thf(powersetsubset, axiom, powersetsubset = 11.96/2.15 (![A:$i,B:$i]: 11.96/2.15 ( ( subset @ A @ B ) => ( subset @ ( powerset @ A ) @ ( powerset @ B ) ) ))). 11.96/2.15 thf('4', plain, 11.96/2.15 (( powersetsubset ) = 11.96/2.15 ( ![X4:$i,X6:$i]: 11.96/2.15 ( ( subset @ X4 @ X6 ) => 11.96/2.15 ( subset @ ( powerset @ X4 ) @ ( powerset @ X6 ) ) ) )), 11.96/2.15 define([status(thm)])). 11.96/2.15 thf(inPowerset, axiom, inPowerset = (![A:$i]: ( in @ A @ ( powerset @ A ) ))). 11.96/2.15 thf('5', plain, 11.96/2.15 (( inPowerset ) = ( ![X4:$i]: ( in @ X4 @ ( powerset @ X4 ) ) )), 11.96/2.15 define([status(thm)])). 11.96/2.15 thf(powersetE1, axiom, powersetE1 = 11.96/2.15 (![A:$i,B:$i]: ( ( in @ B @ ( powerset @ A ) ) => ( subset @ B @ A ) ))). 11.96/2.15 thf('6', plain, 11.96/2.15 (( powersetE1 ) = 11.96/2.15 ( ![X4:$i,X6:$i]: 11.96/2.15 ( ( in @ X6 @ ( powerset @ X4 ) ) => ( subset @ X6 @ X4 ) ) )), 11.96/2.15 define([status(thm)])). 11.96/2.15 thf(powersetI1, axiom, powersetI1 = 11.96/2.15 (![A:$i,B:$i]: ( ( subset @ B @ A ) => ( in @ B @ ( powerset @ A ) ) ))). 11.96/2.15 thf('7', plain, 11.96/2.15 (( powersetI1 ) = 11.96/2.15 ( ![X4:$i,X6:$i]: 11.96/2.15 ( ( subset @ X6 @ X4 ) => ( in @ X6 @ ( powerset @ X4 ) ) ) )), 11.96/2.15 define([status(thm)])). 11.96/2.15 thf(subsetemptysetimpeq, axiom, subsetemptysetimpeq = 11.96/2.15 (![A:$i]: ( ( subset @ A @ emptyset ) => ( ( A ) = ( emptyset ) ) ))). 11.96/2.15 thf('8', plain, 11.96/2.15 (( subsetemptysetimpeq ) = 11.96/2.15 ( ![X4:$i]: ( ( subset @ X4 @ emptyset ) => ( ( X4 ) = ( emptyset ) ) ) )), 11.96/2.15 define([status(thm)])). 11.96/2.15 thf(setextsub, axiom, setextsub = 11.96/2.15 (![A:$i,B:$i]: 11.96/2.15 ( ( subset @ A @ B ) => ( ( subset @ B @ A ) => ( ( A ) = ( B ) ) ) ))). 11.96/2.15 thf('9', plain, 11.96/2.15 (( setextsub ) = 11.96/2.15 ( ![X4:$i,X6:$i]: 11.96/2.15 ( ( subset @ X4 @ X6 ) => 11.96/2.15 ( ( subset @ X6 @ X4 ) => ( ( X4 ) = ( X6 ) ) ) ) )), 11.96/2.15 define([status(thm)])). 11.96/2.15 thf(subset2powerset, axiom, subset2powerset = 11.96/2.15 (![A:$i,B:$i]: ( ( subset @ A @ B ) => ( in @ A @ ( powerset @ B ) ) ))). 11.96/2.15 thf('10', plain, 11.96/2.15 (( subset2powerset ) = 11.96/2.15 ( ![X4:$i,X6:$i]: 11.96/2.15 ( ( subset @ X4 @ X6 ) => ( in @ X4 @ ( powerset @ X6 ) ) ) )), 11.96/2.15 define([status(thm)])). 11.96/2.15 thf(setadjoinSub2, axiom, setadjoinSub2 = 11.96/2.15 (![A:$i,Xx:$i,B:$i]: 11.96/2.15 ( ( subset @ A @ B ) => ( subset @ A @ ( setadjoin @ Xx @ B ) ) ))). 11.96/2.15 thf('11', plain, 11.96/2.15 (( setadjoinSub2 ) = 11.96/2.15 ( ![X4:$i,X6:$i,X8:$i]: 11.96/2.15 ( ( subset @ X4 @ X8 ) => ( subset @ X4 @ ( setadjoin @ X6 @ X8 ) ) ) )), 11.96/2.15 define([status(thm)])). 11.96/2.15 thf(setadjoinSub, axiom, setadjoinSub = 11.96/2.15 (![Xx:$i,A:$i]: ( subset @ A @ ( setadjoin @ Xx @ A ) ))). 11.96/2.15 thf('12', plain, 11.96/2.15 (( setadjoinSub ) = 11.96/2.15 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( setadjoin @ X4 @ X6 ) ) )), 11.96/2.15 define([status(thm)])). 11.96/2.15 thf(subsetTrans, axiom, subsetTrans = 11.96/2.15 (![A:$i,B:$i,C:$i]: 11.96/2.15 ( ( subset @ A @ B ) => ( ( subset @ B @ C ) => ( subset @ A @ C ) ) ))). 11.96/2.15 thf('13', plain, 11.96/2.15 (( subsetTrans ) = 11.96/2.15 ( ![X4:$i,X6:$i,X8:$i]: 11.96/2.15 ( ( subset @ X4 @ X6 ) => 11.96/2.15 ( ( subset @ X6 @ X8 ) => ( subset @ X4 @ X8 ) ) ) )), 11.96/2.15 define([status(thm)])). 11.96/2.15 thf(subsetRefl, axiom, subsetRefl = (![A:$i]: ( subset @ A @ A ))). 11.96/2.15 thf('14', plain, (( subsetRefl ) = ( ![X4:$i]: ( subset @ X4 @ X4 ) )), 11.96/2.15 define([status(thm)])). 11.96/2.15 thf(notequalI1, axiom, notequalI1 = 11.96/2.15 (![A:$i,B:$i]: ( ( ~( subset @ A @ B ) ) => ( ( A ) != ( B ) ) ))). 11.96/2.15 thf('15', plain, 11.96/2.15 (( notequalI1 ) = 11.96/2.15 ( ![X4:$i,X6:$i]: ( ( ~( subset @ X4 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) )), 11.96/2.15 define([status(thm)])). 11.96/2.15 thf(notsubsetI, axiom, notsubsetI = 11.96/2.15 (![A:$i,B:$i,Xx:$i]: 11.96/2.15 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ~( subset @ A @ B ) ) ) ))). 11.96/2.15 thf('16', plain, 11.96/2.15 (( notsubsetI ) = 11.96/2.15 ( ![X4:$i,X6:$i,X8:$i]: 11.96/2.15 ( ( in @ X8 @ X4 ) => 11.96/2.15 ( ( ~( in @ X8 @ X6 ) ) => ( ~( subset @ X4 @ X6 ) ) ) ) )), 11.96/2.15 define([status(thm)])). 11.96/2.15 thf(subsetE2, axiom, subsetE2 = 11.96/2.15 (![A:$i,B:$i,Xx:$i]: 11.96/2.15 ( ( subset @ A @ B ) => ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))). 11.96/2.15 thf('17', plain, 11.96/2.15 (( subsetE2 ) = 11.96/2.15 ( ![X4:$i,X6:$i,X8:$i]: 11.96/2.15 ( ( subset @ X4 @ X6 ) => 11.96/2.15 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )), 11.96/2.15 define([status(thm)])). 11.96/2.15 thf(subsetE, axiom, subsetE = 11.96/2.15 (![A:$i,B:$i,Xx:$i]: 11.96/2.15 ( ( subset @ A @ B ) => ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))). 11.96/2.15 thf('18', plain, 11.96/2.15 (( subsetE ) = 11.96/2.15 ( ![X4:$i,X6:$i,X8:$i]: 11.96/2.15 ( ( subset @ X4 @ X6 ) => ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )), 11.96/2.15 define([status(thm)])). 11.96/2.15 thf(emptysetsubset, axiom, emptysetsubset = 11.96/2.15 (![A:$i]: ( subset @ emptyset @ A ))). 11.96/2.15 thf('19', plain, 11.96/2.15 (( emptysetsubset ) = ( ![X4:$i]: ( subset @ emptyset @ X4 ) )), 11.96/2.15 define([status(thm)])). 11.96/2.15 thf(subsetI2, axiom, subsetI2 = 11.96/2.15 (![A:$i,B:$i]: 11.96/2.15 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 11.96/2.15 ( subset @ A @ B ) ))). 11.96/2.15 thf('20', plain, 11.96/2.15 (( subsetI2 ) = 11.96/2.15 ( ![X4:$i,X6:$i]: 11.96/2.15 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 11.96/2.15 ( subset @ X4 @ X6 ) ) )), 11.96/2.15 define([status(thm)])). 11.96/2.15 thf(eqimpsubset1, axiom, eqimpsubset1 = 11.96/2.15 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ A @ B ) ))). 11.96/2.15 thf('21', plain, 11.96/2.15 (( eqimpsubset1 ) = 11.96/2.15 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X4 @ X6 ) ) )), 11.96/2.15 define([status(thm)])). 11.96/2.15 thf(eqimpsubset2, axiom, eqimpsubset2 = 11.96/2.15 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ B @ A ) ))). 11.96/2.15 thf('22', plain, 11.96/2.15 (( eqimpsubset2 ) = 11.96/2.15 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X6 @ X4 ) ) )), 11.96/2.15 define([status(thm)])). 11.96/2.15 thf(subsetI1, axiom, subsetI1 = 11.96/2.15 (![A:$i,B:$i]: 11.96/2.15 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 11.96/2.15 ( subset @ A @ B ) ))). 11.96/2.15 thf('23', plain, 11.96/2.15 (( subsetI1 ) = 11.96/2.15 ( ![X4:$i,X6:$i]: 11.96/2.15 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 11.96/2.15 ( subset @ X4 @ X6 ) ) )), 11.96/2.15 define([status(thm)])). 11.96/2.15 thf(powerset__Cong, axiom, powerset__Cong = 11.96/2.15 (![A:$i,B:$i]: 11.96/2.15 ( ( ( A ) = ( B ) ) => ( ( powerset @ A ) = ( powerset @ B ) ) ))). 11.96/2.15 thf('24', plain, 11.96/2.15 (( powerset__Cong ) = 11.96/2.15 ( ![X4:$i,X6:$i]: 11.96/2.15 ( ( ( X4 ) = ( X6 ) ) => ( ( powerset @ X4 ) = ( powerset @ X6 ) ) ) )), 11.96/2.15 define([status(thm)])). 11.96/2.15 thf(powersetE, axiom, powersetE = 11.96/2.15 (![A:$i,B:$i,Xx:$i]: 11.96/2.15 ( ( in @ B @ ( powerset @ A ) ) => ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ))). 11.96/2.15 thf('25', plain, 11.96/2.15 (( powersetE ) = 11.96/2.15 ( ![X4:$i,X6:$i,X8:$i]: 11.96/2.15 ( ( in @ X6 @ ( powerset @ X4 ) ) => 11.96/2.15 ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) )), 11.96/2.15 define([status(thm)])). 11.96/2.15 thf(emptyInPowerset, axiom, emptyInPowerset = 11.96/2.15 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 11.96/2.15 thf('26', plain, 11.96/2.15 (( emptyInPowerset ) = 11.96/2.15 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 11.96/2.15 define([status(thm)])). 11.96/2.15 thf(emptyinPowerset, axiom, emptyinPowerset = 11.96/2.15 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 11.96/2.15 thf('27', plain, 11.96/2.15 (( emptyinPowerset ) = 11.96/2.15 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 11.96/2.15 define([status(thm)])). 11.96/2.15 thf(powersetI, axiom, powersetI = 11.96/2.15 (![A:$i,B:$i]: 11.96/2.15 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) => 11.96/2.15 ( in @ B @ ( powerset @ A ) ) ))). 11.96/2.15 thf('28', plain, 11.96/2.15 (( powersetI ) = 11.96/2.15 ( ![X4:$i,X6:$i]: 11.96/2.15 ( ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) => 11.96/2.15 ( in @ X6 @ ( powerset @ X4 ) ) ) )), 11.96/2.15 define([status(thm)])). 11.96/2.15 thf(powersetAx, axiom, powersetAx = 11.96/2.15 (![A:$i,B:$i]: 11.96/2.15 ( ( in @ B @ ( powerset @ A ) ) <=> 11.96/2.15 ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) ))). 11.96/2.15 thf('29', plain, 11.96/2.15 (( powersetAx ) = 11.96/2.15 ( ![X4:$i,X6:$i]: 11.96/2.15 ( ( in @ X6 @ ( powerset @ X4 ) ) <=> 11.96/2.15 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) )), 11.96/2.15 define([status(thm)])). 11.96/2.15 thf(subsetTI, conjecture, 11.96/2.15 (( setextAx ) => 11.96/2.15 ( ( emptysetAx ) => 11.96/2.15 ( ( setadjoinAx ) => 11.96/2.15 ( ( powersetAx ) => 11.96/2.15 ( ( setunionAx ) => 11.96/2.15 ( ( omega0Ax ) => 11.96/2.15 ( ( omegaSAx ) => 11.96/2.15 ( ( omegaIndAx ) => 11.96/2.15 ( ( replAx ) => 11.96/2.15 ( ( foundationAx ) => 11.96/2.15 ( ( wellorderingAx ) => 11.96/2.15 ( ( descrp ) => 11.96/2.15 ( ( dsetconstrI ) => 11.96/2.15 ( ( dsetconstrEL ) => 11.96/2.15 ( ( dsetconstrER ) => 11.96/2.15 ( ( exuE1 ) => 11.96/2.15 ( ( prop2setE ) => 11.96/2.15 ( ( emptysetE ) => 11.96/2.15 ( ( emptysetimpfalse ) => 11.96/2.15 ( ( notinemptyset ) => 11.96/2.15 ( ( exuE3e ) => 11.96/2.15 ( ( setext ) => 11.96/2.15 ( ( emptyI ) => 11.96/2.15 ( ( noeltsimpempty ) => 11.96/2.15 ( ( setbeta ) => 11.96/2.15 ( ( nonemptyE1 ) => 11.96/2.15 ( ( nonemptyI ) => 11.96/2.15 ( ( nonemptyI1 ) => 11.96/2.15 ( ( setadjoinIL ) => 11.96/2.15 ( ( emptyinunitempty ) => 11.96/2.15 ( ( setadjoinIR ) => 11.96/2.15 ( ( setadjoinE ) => 11.96/2.15 ( ( 11.96/2.15 setadjoinOr ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setoftrueEq ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 powersetI ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 emptyinPowerset ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 emptyInPowerset ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 powersetE ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setunionI ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setunionE ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 subPowSU ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 exuE2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 nonemptyImpWitness ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 uniqinunit ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 notinsingleton ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 eqinunit ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 singletonsswitch ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 upairsetE ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 upairsetIL ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 upairsetIR ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 emptyE1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 vacuousDall ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 quantDeMorgan1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 quantDeMorgan2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 quantDeMorgan3 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 quantDeMorgan4 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 prop2setI ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 prop2set2propI ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 notdexE ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 notdallE ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 exuI1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 exuI3 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 exuI2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 inCongP ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 in__Cong ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 exuE3u ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 exu__Cong ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 emptyset__Cong ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setadjoin__Cong ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 powerset__Cong ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setunion__Cong ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 omega__Cong ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 exuEu ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 descr__Cong ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 dsetconstr__Cong ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 subsetI1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 eqimpsubset2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 eqimpsubset1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 subsetI2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 emptysetsubset ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 subsetE ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 subsetE2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 notsubsetI ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 notequalI1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 notequalI2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 subsetRefl ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 subsetTrans ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setadjoinSub ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setadjoinSub2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 subset2powerset ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setextsub ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 subsetemptysetimpeq ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 powersetI1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 powersetE1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 inPowerset ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 powersetsubset ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 sepInPowerset ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 sepSubset ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binunionIL ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 upairset2IR ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binunionIR ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binunionEcases ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binunionE ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binunionLsub ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binunionRsub ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binintersectI ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binintersectSubset5 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binintersectEL ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binintersectLsub ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binintersectSubset2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binintersectSubset3 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binintersectER ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 disjointsetsI1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binintersectRsub ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binintersectSubset4 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binintersectSubset1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 bs114d ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setminusI ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setminusEL ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setminusER ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setminusSubset2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setminusERneg ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setminusELneg ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setminusILneg ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setminusIRneg ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setminusLsub ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setminusSubset1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 symdiffE ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 symdiffI1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 symdiffI2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 symdiffIneg1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 symdiffIneg2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 secondinupair ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setukpairIL ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setukpairIR ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 kpairiskpair ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 kpairp ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 singletonsubset ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 singletoninpowerset ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 singletoninpowunion ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 upairset2E ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 upairsubunion ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 upairinpowunion ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ubforcartprodlem1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ubforcartprodlem2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ubforcartprodlem3 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 cartprodpairin ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 cartprodmempair1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 cartprodmempair ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setunionE2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setunionsingleton1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setunionsingleton2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setunionsingleton ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 singletonprop ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ex1E1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ex1I ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ex1I2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 singletonsuniq ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setukpairinjL1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 kfstsingleton ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 theprop ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 kfstpairEq ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 cartprodfstin ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setukpairinjL2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setukpairinjL ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setukpairinjR11 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setukpairinjR12 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setukpairinjR1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 upairequniteq ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setukpairinjR2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setukpairinjR ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ksndsingleton ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ksndpairEq ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 kpairsurjEq ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 cartprodsndin ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 cartprodpairmemEL ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 cartprodpairmemER ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 cartprodmempaircEq ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 cartprodfstpairEq ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 cartprodsndpairEq ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 cartprodpairsurjEq ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 dpsetconstrI ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 dpsetconstrSub ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setOfPairsIsBReln ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 dpsetconstrERa ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 dpsetconstrEL1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 dpsetconstrEL2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 dpsetconstrER ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 funcImageSingleton ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 apProp ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 app ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 infuncsetfunc ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ap2p ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 funcinfuncset ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 lamProp ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 lamp ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 lam2p ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 brelnall1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 brelnall2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ex1E2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 funcGraphProp1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 funcGraphProp3 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 funcGraphProp2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 funcextLem ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 funcGraphProp4 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 subbreln ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 eqbreln ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 funcext ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 funcext2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ap2apEq1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ap2apEq2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 beta1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 eta1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 lam2lamEq ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 beta2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 eta2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 iffalseProp1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 iffalseProp2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 iftrueProp1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 iftrueProp2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ifSingleton ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ifp ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 theeq ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 iftrue ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 iffalse ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 iftrueorfalse ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binintersectT_lem ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binunionT_lem ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 powersetT_lem ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setminusT_lem ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 complementT_lem ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setextT ) => 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 A:$i,X:$i]: 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 in @ 11.96/2.15 X @ 11.96/2.15 ( 11.96/2.15 powerset @ 11.96/2.15 A ) ) => 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 Y:$i]: 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 in @ 11.96/2.15 Y @ 11.96/2.15 ( 11.96/2.15 powerset @ 11.96/2.15 A ) ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 Xx:$i]: 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 in @ 11.96/2.15 Xx @ A ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 in @ 11.96/2.15 Xx @ X ) => 11.96/2.15 ( 11.96/2.15 in @ 11.96/2.15 Xx @ Y ) ) ) ) => 11.96/2.15 ( 11.96/2.15 subset @ 11.96/2.15 X @ Y ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 11.96/2.15 thf(zf_stmt_0, conjecture, 11.96/2.15 (( setextAx ) => 11.96/2.15 ( ( emptysetAx ) => 11.96/2.15 ( ( setadjoinAx ) => 11.96/2.15 ( ( ![X4:$i,X6:$i]: 11.96/2.15 ( ( in @ X6 @ ( powerset @ X4 ) ) <=> 11.96/2.15 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) ) => 11.96/2.15 ( ( setunionAx ) => 11.96/2.15 ( ( omega0Ax ) => 11.96/2.15 ( ( omegaSAx ) => 11.96/2.15 ( ( omegaIndAx ) => 11.96/2.15 ( ( replAx ) => 11.96/2.15 ( ( foundationAx ) => 11.96/2.15 ( ( wellorderingAx ) => 11.96/2.15 ( ( descrp ) => 11.96/2.15 ( ( dsetconstrI ) => 11.96/2.15 ( ( dsetconstrEL ) => 11.96/2.15 ( ( dsetconstrER ) => 11.96/2.15 ( ( exuE1 ) => 11.96/2.15 ( ( prop2setE ) => 11.96/2.15 ( ( emptysetE ) => 11.96/2.15 ( ( emptysetimpfalse ) => 11.96/2.15 ( ( notinemptyset ) => 11.96/2.15 ( ( exuE3e ) => 11.96/2.15 ( ( setext ) => 11.96/2.15 ( ( emptyI ) => 11.96/2.15 ( ( noeltsimpempty ) => 11.96/2.15 ( ( setbeta ) => 11.96/2.15 ( ( nonemptyE1 ) => 11.96/2.15 ( ( nonemptyI ) => 11.96/2.15 ( ( nonemptyI1 ) => 11.96/2.15 ( ( setadjoinIL ) => 11.96/2.15 ( ( emptyinunitempty ) => 11.96/2.15 ( ( setadjoinIR ) => 11.96/2.15 ( ( setadjoinE ) => 11.96/2.15 ( ( 11.96/2.15 setadjoinOr ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setoftrueEq ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 X10:$i, 11.96/2.15 X12:$i]: 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 X14:$i]: 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 in @ 11.96/2.15 X14 @ X12 ) => 11.96/2.15 ( 11.96/2.15 in @ 11.96/2.15 X14 @ X10 ) ) ) => 11.96/2.15 ( 11.96/2.15 in @ 11.96/2.15 X12 @ 11.96/2.15 ( 11.96/2.15 powerset @ 11.96/2.15 X10 ) ) ) ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 X16:$i]: 11.96/2.15 ( 11.96/2.15 in @ 11.96/2.15 emptyset @ 11.96/2.15 ( 11.96/2.15 powerset @ 11.96/2.15 X16 ) ) ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 X18:$i]: 11.96/2.15 ( 11.96/2.15 in @ 11.96/2.15 emptyset @ 11.96/2.15 ( 11.96/2.15 powerset @ 11.96/2.15 X18 ) ) ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 X20:$i, 11.96/2.15 X22:$i, 11.96/2.15 X24:$i]: 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 in @ 11.96/2.15 X22 @ 11.96/2.15 ( 11.96/2.15 powerset @ 11.96/2.15 X20 ) ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 in @ 11.96/2.15 X24 @ X22 ) => 11.96/2.15 ( 11.96/2.15 in @ 11.96/2.15 X24 @ X20 ) ) ) ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setunionI ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setunionE ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 subPowSU ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 exuE2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 nonemptyImpWitness ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 uniqinunit ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 notinsingleton ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 eqinunit ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 singletonsswitch ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 upairsetE ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 upairsetIL ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 upairsetIR ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 emptyE1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 vacuousDall ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 quantDeMorgan1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 quantDeMorgan2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 quantDeMorgan3 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 quantDeMorgan4 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 prop2setI ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 prop2set2propI ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 notdexE ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 notdallE ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 exuI1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 exuI3 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 exuI2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 inCongP ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 in__Cong ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 exuE3u ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 exu__Cong ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 emptyset__Cong ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setadjoin__Cong ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 X26:$i, 11.96/2.15 X28:$i]: 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 X26 ) = 11.96/2.15 ( 11.96/2.15 X28 ) ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 powerset @ 11.96/2.15 X26 ) = 11.96/2.15 ( 11.96/2.15 powerset @ 11.96/2.15 X28 ) ) ) ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setunion__Cong ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 omega__Cong ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 exuEu ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 descr__Cong ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 dsetconstr__Cong ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 X30:$i, 11.96/2.15 X32:$i]: 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 X34:$i]: 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 in @ 11.96/2.15 X34 @ X30 ) => 11.96/2.15 ( 11.96/2.15 in @ 11.96/2.15 X34 @ X32 ) ) ) => 11.96/2.15 ( 11.96/2.15 subset @ 11.96/2.15 X30 @ X32 ) ) ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 X36:$i, 11.96/2.15 X38:$i]: 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 X36 ) = 11.96/2.15 ( 11.96/2.15 X38 ) ) => 11.96/2.15 ( 11.96/2.15 subset @ 11.96/2.15 X38 @ X36 ) ) ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 X40:$i, 11.96/2.15 X42:$i]: 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 X40 ) = 11.96/2.15 ( 11.96/2.15 X42 ) ) => 11.96/2.15 ( 11.96/2.15 subset @ 11.96/2.15 X40 @ X42 ) ) ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 X44:$i, 11.96/2.15 X46:$i]: 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 X48:$i]: 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 in @ 11.96/2.15 X48 @ X44 ) => 11.96/2.15 ( 11.96/2.15 in @ 11.96/2.15 X48 @ X46 ) ) ) => 11.96/2.15 ( 11.96/2.15 subset @ 11.96/2.15 X44 @ X46 ) ) ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 X50:$i]: 11.96/2.15 ( 11.96/2.15 subset @ 11.96/2.15 emptyset @ 11.96/2.15 X50 ) ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 X52:$i, 11.96/2.15 X54:$i, 11.96/2.15 X56:$i]: 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 subset @ 11.96/2.15 X52 @ X54 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 in @ 11.96/2.15 X56 @ X52 ) => 11.96/2.15 ( 11.96/2.15 in @ 11.96/2.15 X56 @ X54 ) ) ) ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 X58:$i, 11.96/2.15 X60:$i, 11.96/2.15 X62:$i]: 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 subset @ 11.96/2.15 X58 @ X60 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ~( 11.96/2.15 in @ 11.96/2.15 X62 @ X60 ) ) => 11.96/2.15 ( 11.96/2.15 ~( 11.96/2.15 in @ 11.96/2.15 X62 @ X58 ) ) ) ) ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 X64:$i, 11.96/2.15 X66:$i, 11.96/2.15 X68:$i]: 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 in @ 11.96/2.15 X68 @ X64 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ~( 11.96/2.15 in @ 11.96/2.15 X68 @ X66 ) ) => 11.96/2.15 ( 11.96/2.15 ~( 11.96/2.15 subset @ 11.96/2.15 X64 @ X66 ) ) ) ) ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 X70:$i, 11.96/2.15 X72:$i]: 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ~( 11.96/2.15 subset @ 11.96/2.15 X70 @ X72 ) ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 X70 ) != 11.96/2.15 ( 11.96/2.15 X72 ) ) ) ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 notequalI2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 X74:$i]: 11.96/2.15 ( 11.96/2.15 subset @ 11.96/2.15 X74 @ X74 ) ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 X76:$i, 11.96/2.15 X78:$i, 11.96/2.15 X80:$i]: 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 subset @ 11.96/2.15 X76 @ X78 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 subset @ 11.96/2.15 X78 @ X80 ) => 11.96/2.15 ( 11.96/2.15 subset @ 11.96/2.15 X76 @ X80 ) ) ) ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 X82:$i, 11.96/2.15 X84:$i]: 11.96/2.15 ( 11.96/2.15 subset @ 11.96/2.15 X84 @ 11.96/2.15 ( 11.96/2.15 setadjoin 11.96/2.15 @ 11.96/2.15 X82 @ X84 ) ) ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 X86:$i, 11.96/2.15 X88:$i, 11.96/2.15 X90:$i]: 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 subset @ 11.96/2.15 X86 @ X90 ) => 11.96/2.15 ( 11.96/2.15 subset @ 11.96/2.15 X86 @ 11.96/2.15 ( 11.96/2.15 setadjoin 11.96/2.15 @ 11.96/2.15 X88 @ X90 ) ) ) ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 X92:$i, 11.96/2.15 X94:$i]: 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 subset @ 11.96/2.15 X92 @ X94 ) => 11.96/2.15 ( 11.96/2.15 in @ 11.96/2.15 X92 @ 11.96/2.15 ( 11.96/2.15 powerset @ 11.96/2.15 X94 ) ) ) ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 X96:$i, 11.96/2.15 X98:$i]: 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 subset @ 11.96/2.15 X96 @ X98 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 subset @ 11.96/2.15 X98 @ X96 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 X96 ) = 11.96/2.15 ( 11.96/2.15 X98 ) ) ) ) ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 X100:$i]: 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 subset @ 11.96/2.15 X100 @ 11.96/2.15 emptyset ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 X100 ) = 11.96/2.15 ( 11.96/2.15 emptyset ) ) ) ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 X102:$i, 11.96/2.15 X104:$i]: 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 subset @ 11.96/2.15 X104 @ 11.96/2.15 X102 ) => 11.96/2.15 ( 11.96/2.15 in @ 11.96/2.15 X104 @ 11.96/2.15 ( 11.96/2.15 powerset @ 11.96/2.15 X102 ) ) ) ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 X106:$i, 11.96/2.15 X108:$i]: 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 in @ 11.96/2.15 X108 @ 11.96/2.15 ( 11.96/2.15 powerset @ 11.96/2.15 X106 ) ) => 11.96/2.15 ( 11.96/2.15 subset @ 11.96/2.15 X108 @ 11.96/2.15 X106 ) ) ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 X110:$i]: 11.96/2.15 ( 11.96/2.15 in @ 11.96/2.15 X110 @ 11.96/2.15 ( 11.96/2.15 powerset @ 11.96/2.15 X110 ) ) ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 X112:$i, 11.96/2.15 X114:$i]: 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 subset @ 11.96/2.15 X112 @ 11.96/2.15 X114 ) => 11.96/2.15 ( 11.96/2.15 subset @ 11.96/2.15 ( 11.96/2.15 powerset @ 11.96/2.15 X112 ) @ 11.96/2.15 ( 11.96/2.15 powerset @ 11.96/2.15 X114 ) ) ) ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 sepInPowerset ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 sepSubset ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binunionIL ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 upairset2IR ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binunionIR ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binunionEcases ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binunionE ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binunionLsub ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binunionRsub ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binintersectI ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binintersectSubset5 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binintersectEL ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binintersectLsub ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binintersectSubset2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binintersectSubset3 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binintersectER ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 disjointsetsI1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binintersectRsub ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binintersectSubset4 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 binintersectSubset1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 bs114d ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setminusI ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setminusEL ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setminusER ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setminusSubset2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setminusERneg ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setminusELneg ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setminusILneg ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setminusIRneg ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setminusLsub ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setminusSubset1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 symdiffE ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 symdiffI1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 symdiffI2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 symdiffIneg1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 symdiffIneg2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 secondinupair ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setukpairIL ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setukpairIR ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 kpairiskpair ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 kpairp ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 X116:$i, 11.96/2.15 X118:$i]: 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 in @ 11.96/2.15 X118 @ 11.96/2.15 X116 ) => 11.96/2.15 ( 11.96/2.15 subset @ 11.96/2.15 ( 11.96/2.15 setadjoin 11.96/2.15 @ 11.96/2.15 X118 @ 11.96/2.15 emptyset ) @ 11.96/2.15 X116 ) ) ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ![ 11.96/2.15 X120:$i, 11.96/2.15 X122:$i]: 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 in @ 11.96/2.15 X122 @ 11.96/2.15 X120 ) => 11.96/2.15 ( 11.96/2.15 in @ 11.96/2.15 ( 11.96/2.15 setadjoin 11.96/2.15 @ 11.96/2.15 X122 @ 11.96/2.15 emptyset ) @ 11.96/2.15 ( 11.96/2.15 powerset @ 11.96/2.15 X120 ) ) ) ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 singletoninpowunion ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 upairset2E ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 upairsubunion ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 upairinpowunion ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ubforcartprodlem1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ubforcartprodlem2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ubforcartprodlem3 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 cartprodpairin ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 cartprodmempair1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 cartprodmempair ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setunionE2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setunionsingleton1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setunionsingleton2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setunionsingleton ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 singletonprop ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ex1E1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ex1I ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ex1I2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 singletonsuniq ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setukpairinjL1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 kfstsingleton ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 theprop ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 kfstpairEq ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 cartprodfstin ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setukpairinjL2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setukpairinjL ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setukpairinjR11 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setukpairinjR12 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setukpairinjR1 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 upairequniteq ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setukpairinjR2 ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 setukpairinjR ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ksndsingleton ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 ksndpairEq ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 kpairsurjEq ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 cartprodsndin ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 cartprodpairmemEL ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.15 cartprodpairmemER ) => 11.96/2.15 ( 11.96/2.15 ( 11.96/2.16 cartprodmempaircEq ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 cartprodfstpairEq ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 cartprodsndpairEq ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 cartprodpairsurjEq ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 dpsetconstrI ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 dpsetconstrSub ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setOfPairsIsBReln ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 dpsetconstrERa ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 dpsetconstrEL1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 dpsetconstrEL2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 dpsetconstrER ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 funcImageSingleton ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 apProp ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 app ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 infuncsetfunc ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ap2p ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 funcinfuncset ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 lamProp ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 lamp ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 lam2p ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 brelnall1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 brelnall2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ex1E2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 funcGraphProp1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 funcGraphProp3 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 funcGraphProp2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 funcextLem ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 funcGraphProp4 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 subbreln ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 eqbreln ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 funcext ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 funcext2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ap2apEq1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ap2apEq2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 beta1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 eta1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 lam2lamEq ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 beta2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 eta2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 iffalseProp1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 iffalseProp2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 iftrueProp1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 iftrueProp2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ifSingleton ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ifp ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 theeq ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 iftrue ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 iffalse ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 iftrueorfalse ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binintersectT_lem ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binunionT_lem ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X124:$i, 11.96/2.16 X126:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X126 @ 11.96/2.16 ( 11.96/2.16 powerset @ 11.96/2.16 X124 ) ) => 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 ( 11.96/2.16 powerset @ 11.96/2.16 X126 ) @ 11.96/2.16 ( 11.96/2.16 powerset @ 11.96/2.16 ( 11.96/2.16 powerset @ 11.96/2.16 X124 ) ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setminusT_lem ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 complementT_lem ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X128:$i, 11.96/2.16 X130:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X130 @ 11.96/2.16 ( 11.96/2.16 powerset @ 11.96/2.16 X128 ) ) => 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X132:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X132 @ 11.96/2.16 ( 11.96/2.16 powerset @ 11.96/2.16 X128 ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X134:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X134 @ 11.96/2.16 X128 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X134 @ 11.96/2.16 X130 ) => 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X134 @ 11.96/2.16 X132 ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X136:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X136 @ 11.96/2.16 X128 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X136 @ 11.96/2.16 X132 ) => 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X136 @ 11.96/2.16 X130 ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 X130 ) = 11.96/2.16 ( 11.96/2.16 X132 ) ) ) ) ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X138:$i, 11.96/2.16 X140:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X140 @ 11.96/2.16 ( 11.96/2.16 powerset @ 11.96/2.16 X138 ) ) => 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X142:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X142 @ 11.96/2.16 ( 11.96/2.16 powerset @ 11.96/2.16 X138 ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X144:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X144 @ 11.96/2.16 X138 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X144 @ 11.96/2.16 X140 ) => 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X144 @ 11.96/2.16 X142 ) ) ) ) => 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X140 @ 11.96/2.16 X142 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 11.96/2.16 thf(zf_stmt_1, type, zip_tseitin_0 : $i > $i > $i > $o). 11.96/2.16 thf(zf_stmt_2, axiom, 11.96/2.16 (![X8:$i,X6:$i,X4:$i]: 11.96/2.16 ( ( zip_tseitin_0 @ X8 @ X6 @ X4 ) <=> 11.96/2.16 ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ))). 11.96/2.16 thf(zf_stmt_3, conjecture, 11.96/2.16 (( setextAx ) => 11.96/2.16 ( ( emptysetAx ) => 11.96/2.16 ( ( setadjoinAx ) => 11.96/2.16 ( ( ![X4:$i,X6:$i]: 11.96/2.16 ( ( in @ X6 @ ( powerset @ X4 ) ) <=> 11.96/2.16 ( ![X8:$i]: ( zip_tseitin_0 @ X8 @ X6 @ X4 ) ) ) ) => 11.96/2.16 ( ( setunionAx ) => 11.96/2.16 ( ( omega0Ax ) => 11.96/2.16 ( ( omegaSAx ) => 11.96/2.16 ( ( omegaIndAx ) => 11.96/2.16 ( ( replAx ) => 11.96/2.16 ( ( foundationAx ) => 11.96/2.16 ( ( wellorderingAx ) => 11.96/2.16 ( ( descrp ) => 11.96/2.16 ( ( dsetconstrI ) => 11.96/2.16 ( ( dsetconstrEL ) => 11.96/2.16 ( ( dsetconstrER ) => 11.96/2.16 ( ( exuE1 ) => 11.96/2.16 ( ( prop2setE ) => 11.96/2.16 ( ( emptysetE ) => 11.96/2.16 ( ( emptysetimpfalse ) => 11.96/2.16 ( ( notinemptyset ) => 11.96/2.16 ( ( exuE3e ) => 11.96/2.16 ( ( setext ) => 11.96/2.16 ( ( emptyI ) => 11.96/2.16 ( ( noeltsimpempty ) => 11.96/2.16 ( ( setbeta ) => 11.96/2.16 ( ( nonemptyE1 ) => 11.96/2.16 ( ( nonemptyI ) => 11.96/2.16 ( ( nonemptyI1 ) => 11.96/2.16 ( ( setadjoinIL ) => 11.96/2.16 ( ( emptyinunitempty ) => 11.96/2.16 ( ( setadjoinIR ) => 11.96/2.16 ( ( setadjoinE ) => 11.96/2.16 ( ( 11.96/2.16 setadjoinOr ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setoftrueEq ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X10:$i, 11.96/2.16 X12:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X14:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X14 @ X12 ) => 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X14 @ X10 ) ) ) => 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X12 @ 11.96/2.16 ( 11.96/2.16 powerset @ 11.96/2.16 X10 ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X16:$i]: 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 emptyset @ 11.96/2.16 ( 11.96/2.16 powerset @ 11.96/2.16 X16 ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X18:$i]: 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 emptyset @ 11.96/2.16 ( 11.96/2.16 powerset @ 11.96/2.16 X18 ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X20:$i, 11.96/2.16 X22:$i, 11.96/2.16 X24:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X22 @ 11.96/2.16 ( 11.96/2.16 powerset @ 11.96/2.16 X20 ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X24 @ X22 ) => 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X24 @ X20 ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setunionI ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setunionE ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 subPowSU ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 exuE2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 nonemptyImpWitness ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 uniqinunit ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 notinsingleton ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 eqinunit ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 singletonsswitch ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 upairsetE ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 upairsetIL ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 upairsetIR ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 emptyE1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 vacuousDall ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 quantDeMorgan1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 quantDeMorgan2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 quantDeMorgan3 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 quantDeMorgan4 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 prop2setI ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 prop2set2propI ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 notdexE ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 notdallE ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 exuI1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 exuI3 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 exuI2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 inCongP ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in__Cong ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 exuE3u ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 exu__Cong ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 emptyset__Cong ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setadjoin__Cong ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X26:$i, 11.96/2.16 X28:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 X26 ) = 11.96/2.16 ( 11.96/2.16 X28 ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 powerset @ 11.96/2.16 X26 ) = 11.96/2.16 ( 11.96/2.16 powerset @ 11.96/2.16 X28 ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setunion__Cong ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 omega__Cong ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 exuEu ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 descr__Cong ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 dsetconstr__Cong ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X30:$i, 11.96/2.16 X32:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X34:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X34 @ X30 ) => 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X34 @ X32 ) ) ) => 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X30 @ X32 ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X36:$i, 11.96/2.16 X38:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 X36 ) = 11.96/2.16 ( 11.96/2.16 X38 ) ) => 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X38 @ X36 ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X40:$i, 11.96/2.16 X42:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 X40 ) = 11.96/2.16 ( 11.96/2.16 X42 ) ) => 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X40 @ X42 ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X44:$i, 11.96/2.16 X46:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X48:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X48 @ X44 ) => 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X48 @ X46 ) ) ) => 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X44 @ X46 ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X50:$i]: 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 emptyset @ 11.96/2.16 X50 ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X52:$i, 11.96/2.16 X54:$i, 11.96/2.16 X56:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X52 @ X54 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X56 @ X52 ) => 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X56 @ X54 ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X58:$i, 11.96/2.16 X60:$i, 11.96/2.16 X62:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X58 @ X60 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ~( 11.96/2.16 in @ 11.96/2.16 X62 @ X60 ) ) => 11.96/2.16 ( 11.96/2.16 ~( 11.96/2.16 in @ 11.96/2.16 X62 @ X58 ) ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X64:$i, 11.96/2.16 X66:$i, 11.96/2.16 X68:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X68 @ X64 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ~( 11.96/2.16 in @ 11.96/2.16 X68 @ X66 ) ) => 11.96/2.16 ( 11.96/2.16 ~( 11.96/2.16 subset @ 11.96/2.16 X64 @ X66 ) ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X70:$i, 11.96/2.16 X72:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ~( 11.96/2.16 subset @ 11.96/2.16 X70 @ X72 ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 X70 ) != 11.96/2.16 ( 11.96/2.16 X72 ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 notequalI2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X74:$i]: 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X74 @ X74 ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X76:$i, 11.96/2.16 X78:$i, 11.96/2.16 X80:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X76 @ X78 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X78 @ X80 ) => 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X76 @ X80 ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X82:$i, 11.96/2.16 X84:$i]: 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X84 @ 11.96/2.16 ( 11.96/2.16 setadjoin 11.96/2.16 @ 11.96/2.16 X82 @ X84 ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X86:$i, 11.96/2.16 X88:$i, 11.96/2.16 X90:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X86 @ X90 ) => 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X86 @ 11.96/2.16 ( 11.96/2.16 setadjoin 11.96/2.16 @ 11.96/2.16 X88 @ X90 ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X92:$i, 11.96/2.16 X94:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X92 @ X94 ) => 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X92 @ 11.96/2.16 ( 11.96/2.16 powerset @ 11.96/2.16 X94 ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X96:$i, 11.96/2.16 X98:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X96 @ X98 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X98 @ X96 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 X96 ) = 11.96/2.16 ( 11.96/2.16 X98 ) ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X100:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X100 @ 11.96/2.16 emptyset ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 X100 ) = 11.96/2.16 ( 11.96/2.16 emptyset ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X102:$i, 11.96/2.16 X104:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X104 @ 11.96/2.16 X102 ) => 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X104 @ 11.96/2.16 ( 11.96/2.16 powerset @ 11.96/2.16 X102 ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X106:$i, 11.96/2.16 X108:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X108 @ 11.96/2.16 ( 11.96/2.16 powerset @ 11.96/2.16 X106 ) ) => 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X108 @ 11.96/2.16 X106 ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X110:$i]: 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X110 @ 11.96/2.16 ( 11.96/2.16 powerset @ 11.96/2.16 X110 ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X112:$i, 11.96/2.16 X114:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X112 @ 11.96/2.16 X114 ) => 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 ( 11.96/2.16 powerset @ 11.96/2.16 X112 ) @ 11.96/2.16 ( 11.96/2.16 powerset @ 11.96/2.16 X114 ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 sepInPowerset ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 sepSubset ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binunionIL ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 upairset2IR ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binunionIR ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binunionEcases ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binunionE ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binunionLsub ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binunionRsub ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binintersectI ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binintersectSubset5 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binintersectEL ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binintersectLsub ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binintersectSubset2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binintersectSubset3 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binintersectER ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 disjointsetsI1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binintersectRsub ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binintersectSubset4 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binintersectSubset1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 bs114d ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setminusI ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setminusEL ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setminusER ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setminusSubset2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setminusERneg ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setminusELneg ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setminusILneg ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setminusIRneg ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setminusLsub ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setminusSubset1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 symdiffE ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 symdiffI1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 symdiffI2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 symdiffIneg1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 symdiffIneg2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 secondinupair ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setukpairIL ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setukpairIR ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 kpairiskpair ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 kpairp ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X116:$i, 11.96/2.16 X118:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X118 @ 11.96/2.16 X116 ) => 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 ( 11.96/2.16 setadjoin 11.96/2.16 @ 11.96/2.16 X118 @ 11.96/2.16 emptyset ) @ 11.96/2.16 X116 ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X120:$i, 11.96/2.16 X122:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X122 @ 11.96/2.16 X120 ) => 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 ( 11.96/2.16 setadjoin 11.96/2.16 @ 11.96/2.16 X122 @ 11.96/2.16 emptyset ) @ 11.96/2.16 ( 11.96/2.16 powerset @ 11.96/2.16 X120 ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 singletoninpowunion ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 upairset2E ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 upairsubunion ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 upairinpowunion ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ubforcartprodlem1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ubforcartprodlem2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ubforcartprodlem3 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 cartprodpairin ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 cartprodmempair1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 cartprodmempair ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setunionE2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setunionsingleton1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setunionsingleton2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setunionsingleton ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 singletonprop ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ex1E1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ex1I ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ex1I2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 singletonsuniq ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setukpairinjL1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 kfstsingleton ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 theprop ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 kfstpairEq ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 cartprodfstin ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setukpairinjL2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setukpairinjL ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setukpairinjR11 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setukpairinjR12 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setukpairinjR1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 upairequniteq ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setukpairinjR2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setukpairinjR ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ksndsingleton ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ksndpairEq ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 kpairsurjEq ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 cartprodsndin ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 cartprodpairmemEL ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 cartprodpairmemER ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 cartprodmempaircEq ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 cartprodfstpairEq ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 cartprodsndpairEq ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 cartprodpairsurjEq ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 dpsetconstrI ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 dpsetconstrSub ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setOfPairsIsBReln ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 dpsetconstrERa ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 dpsetconstrEL1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 dpsetconstrEL2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 dpsetconstrER ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 funcImageSingleton ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 apProp ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 app ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 infuncsetfunc ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ap2p ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 funcinfuncset ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 lamProp ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 lamp ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 lam2p ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 brelnall1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 brelnall2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ex1E2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 funcGraphProp1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 funcGraphProp3 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 funcGraphProp2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 funcextLem ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 funcGraphProp4 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 subbreln ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 eqbreln ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 funcext ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 funcext2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ap2apEq1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ap2apEq2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 beta1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 eta1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 lam2lamEq ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 beta2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 eta2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 iffalseProp1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 iffalseProp2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 iftrueProp1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 iftrueProp2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ifSingleton ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ifp ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 theeq ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 iftrue ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 iffalse ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 iftrueorfalse ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binintersectT_lem ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binunionT_lem ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X124:$i, 11.96/2.16 X126:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X126 @ 11.96/2.16 ( 11.96/2.16 powerset @ 11.96/2.16 X124 ) ) => 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 ( 11.96/2.16 powerset @ 11.96/2.16 X126 ) @ 11.96/2.16 ( 11.96/2.16 powerset @ 11.96/2.16 ( 11.96/2.16 powerset @ 11.96/2.16 X124 ) ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setminusT_lem ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 complementT_lem ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X128:$i, 11.96/2.16 X130:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X130 @ 11.96/2.16 ( 11.96/2.16 powerset @ 11.96/2.16 X128 ) ) => 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X132:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X132 @ 11.96/2.16 ( 11.96/2.16 powerset @ 11.96/2.16 X128 ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X134:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X134 @ 11.96/2.16 X128 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X134 @ 11.96/2.16 X130 ) => 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X134 @ 11.96/2.16 X132 ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X136:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X136 @ 11.96/2.16 X128 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X136 @ 11.96/2.16 X132 ) => 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X136 @ 11.96/2.16 X130 ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 X130 ) = 11.96/2.16 ( 11.96/2.16 X132 ) ) ) ) ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X138:$i, 11.96/2.16 X140:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X140 @ 11.96/2.16 ( 11.96/2.16 powerset @ 11.96/2.16 X138 ) ) => 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X142:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X142 @ 11.96/2.16 ( 11.96/2.16 powerset @ 11.96/2.16 X138 ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X144:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X144 @ 11.96/2.16 X138 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X144 @ 11.96/2.16 X140 ) => 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X144 @ 11.96/2.16 X142 ) ) ) ) => 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X140 @ 11.96/2.16 X142 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 11.96/2.16 thf(zf_stmt_4, negated_conjecture, 11.96/2.16 (~( ( setextAx ) => 11.96/2.16 ( ( emptysetAx ) => 11.96/2.16 ( ( setadjoinAx ) => 11.96/2.16 ( ( ![X4:$i,X6:$i]: 11.96/2.16 ( ( in @ X6 @ ( powerset @ X4 ) ) <=> 11.96/2.16 ( ![X8:$i]: ( zip_tseitin_0 @ X8 @ X6 @ X4 ) ) ) ) => 11.96/2.16 ( ( setunionAx ) => 11.96/2.16 ( ( omega0Ax ) => 11.96/2.16 ( ( omegaSAx ) => 11.96/2.16 ( ( omegaIndAx ) => 11.96/2.16 ( ( replAx ) => 11.96/2.16 ( ( foundationAx ) => 11.96/2.16 ( ( wellorderingAx ) => 11.96/2.16 ( ( descrp ) => 11.96/2.16 ( ( dsetconstrI ) => 11.96/2.16 ( ( dsetconstrEL ) => 11.96/2.16 ( ( dsetconstrER ) => 11.96/2.16 ( ( exuE1 ) => 11.96/2.16 ( ( prop2setE ) => 11.96/2.16 ( ( emptysetE ) => 11.96/2.16 ( ( emptysetimpfalse ) => 11.96/2.16 ( ( notinemptyset ) => 11.96/2.16 ( ( exuE3e ) => 11.96/2.16 ( ( setext ) => 11.96/2.16 ( ( emptyI ) => 11.96/2.16 ( ( noeltsimpempty ) => 11.96/2.16 ( ( setbeta ) => 11.96/2.16 ( ( nonemptyE1 ) => 11.96/2.16 ( ( nonemptyI ) => 11.96/2.16 ( ( nonemptyI1 ) => 11.96/2.16 ( ( setadjoinIL ) => 11.96/2.16 ( ( emptyinunitempty ) => 11.96/2.16 ( ( setadjoinIR ) => 11.96/2.16 ( ( 11.96/2.16 setadjoinE ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setadjoinOr ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setoftrueEq ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X10:$i, 11.96/2.16 X12:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X14:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X14 @ X12 ) => 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X14 @ X10 ) ) ) => 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X12 @ 11.96/2.16 ( 11.96/2.16 powerset 11.96/2.16 @ 11.96/2.16 X10 ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X16:$i]: 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 emptyset @ 11.96/2.16 ( 11.96/2.16 powerset 11.96/2.16 @ 11.96/2.16 X16 ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X18:$i]: 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 emptyset @ 11.96/2.16 ( 11.96/2.16 powerset 11.96/2.16 @ 11.96/2.16 X18 ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X20:$i, 11.96/2.16 X22:$i, 11.96/2.16 X24:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X22 @ 11.96/2.16 ( 11.96/2.16 powerset 11.96/2.16 @ 11.96/2.16 X20 ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X24 @ X22 ) => 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X24 @ X20 ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setunionI ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setunionE ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 subPowSU ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 exuE2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 nonemptyImpWitness ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 uniqinunit ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 notinsingleton ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 eqinunit ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 singletonsswitch ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 upairsetE ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 upairsetIL ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 upairsetIR ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 emptyE1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 vacuousDall ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 quantDeMorgan1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 quantDeMorgan2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 quantDeMorgan3 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 quantDeMorgan4 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 prop2setI ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 prop2set2propI ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 notdexE ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 notdallE ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 exuI1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 exuI3 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 exuI2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 inCongP ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in__Cong ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 exuE3u ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 exu__Cong ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 emptyset__Cong ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setadjoin__Cong ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X26:$i, 11.96/2.16 X28:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 X26 ) = 11.96/2.16 ( 11.96/2.16 X28 ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 powerset 11.96/2.16 @ 11.96/2.16 X26 ) = 11.96/2.16 ( 11.96/2.16 powerset 11.96/2.16 @ 11.96/2.16 X28 ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setunion__Cong ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 omega__Cong ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 exuEu ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 descr__Cong ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 dsetconstr__Cong ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X30:$i, 11.96/2.16 X32:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X34:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X34 @ X30 ) => 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X34 @ X32 ) ) ) => 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X30 @ X32 ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X36:$i, 11.96/2.16 X38:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 X36 ) = 11.96/2.16 ( 11.96/2.16 X38 ) ) => 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X38 @ X36 ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X40:$i, 11.96/2.16 X42:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 X40 ) = 11.96/2.16 ( 11.96/2.16 X42 ) ) => 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X40 @ X42 ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X44:$i, 11.96/2.16 X46:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X48:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X48 @ X44 ) => 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X48 @ X46 ) ) ) => 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X44 @ X46 ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X50:$i]: 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 emptyset @ 11.96/2.16 X50 ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X52:$i, 11.96/2.16 X54:$i, 11.96/2.16 X56:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X52 @ X54 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X56 @ X52 ) => 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X56 @ X54 ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X58:$i, 11.96/2.16 X60:$i, 11.96/2.16 X62:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X58 @ X60 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ~ 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X62 @ X60 ) ) => 11.96/2.16 ( 11.96/2.16 ~ 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X62 @ X58 ) ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X64:$i, 11.96/2.16 X66:$i, 11.96/2.16 X68:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X68 @ X64 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ~ 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X68 @ X66 ) ) => 11.96/2.16 ( 11.96/2.16 ~ 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X64 @ X66 ) ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X70:$i, 11.96/2.16 X72:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ~ 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X70 @ X72 ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 X70 ) != 11.96/2.16 ( 11.96/2.16 X72 ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 notequalI2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X74:$i]: 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X74 @ X74 ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X76:$i, 11.96/2.16 X78:$i, 11.96/2.16 X80:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X76 @ X78 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X78 @ X80 ) => 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X76 @ X80 ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X82:$i, 11.96/2.16 X84:$i]: 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X84 @ 11.96/2.16 ( 11.96/2.16 setadjoin 11.96/2.16 @ 11.96/2.16 X82 @ X84 ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X86:$i, 11.96/2.16 X88:$i, 11.96/2.16 X90:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X86 @ X90 ) => 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X86 @ 11.96/2.16 ( 11.96/2.16 setadjoin 11.96/2.16 @ 11.96/2.16 X88 @ X90 ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X92:$i, 11.96/2.16 X94:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X92 @ X94 ) => 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X92 @ 11.96/2.16 ( 11.96/2.16 powerset 11.96/2.16 @ 11.96/2.16 X94 ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X96:$i, 11.96/2.16 X98:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X96 @ X98 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X98 @ X96 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 X96 ) = 11.96/2.16 ( 11.96/2.16 X98 ) ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X100:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X100 @ 11.96/2.16 emptyset ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 X100 ) = 11.96/2.16 ( 11.96/2.16 emptyset ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X102:$i, 11.96/2.16 X104:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X104 @ 11.96/2.16 X102 ) => 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X104 @ 11.96/2.16 ( 11.96/2.16 powerset 11.96/2.16 @ 11.96/2.16 X102 ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X106:$i, 11.96/2.16 X108:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X108 @ 11.96/2.16 ( 11.96/2.16 powerset 11.96/2.16 @ 11.96/2.16 X106 ) ) => 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X108 @ 11.96/2.16 X106 ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X110:$i]: 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X110 @ 11.96/2.16 ( 11.96/2.16 powerset 11.96/2.16 @ 11.96/2.16 X110 ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X112:$i, 11.96/2.16 X114:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X112 @ 11.96/2.16 X114 ) => 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 ( 11.96/2.16 powerset 11.96/2.16 @ 11.96/2.16 X112 ) @ 11.96/2.16 ( 11.96/2.16 powerset 11.96/2.16 @ 11.96/2.16 X114 ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 sepInPowerset ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 sepSubset ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binunionIL ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 upairset2IR ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binunionIR ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binunionEcases ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binunionE ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binunionLsub ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binunionRsub ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binintersectI ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binintersectSubset5 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binintersectEL ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binintersectLsub ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binintersectSubset2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binintersectSubset3 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binintersectER ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 disjointsetsI1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binintersectRsub ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binintersectSubset4 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binintersectSubset1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 bs114d ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setminusI ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setminusEL ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setminusER ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setminusSubset2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setminusERneg ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setminusELneg ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setminusILneg ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setminusIRneg ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setminusLsub ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setminusSubset1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 symdiffE ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 symdiffI1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 symdiffI2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 symdiffIneg1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 symdiffIneg2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 secondinupair ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setukpairIL ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setukpairIR ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 kpairiskpair ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 kpairp ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X116:$i, 11.96/2.16 X118:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X118 @ 11.96/2.16 X116 ) => 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 ( 11.96/2.16 setadjoin 11.96/2.16 @ 11.96/2.16 X118 @ 11.96/2.16 emptyset ) @ 11.96/2.16 X116 ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X120:$i, 11.96/2.16 X122:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X122 @ 11.96/2.16 X120 ) => 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 ( 11.96/2.16 setadjoin 11.96/2.16 @ 11.96/2.16 X122 @ 11.96/2.16 emptyset ) @ 11.96/2.16 ( 11.96/2.16 powerset 11.96/2.16 @ 11.96/2.16 X120 ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 singletoninpowunion ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 upairset2E ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 upairsubunion ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 upairinpowunion ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ubforcartprodlem1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ubforcartprodlem2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ubforcartprodlem3 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 cartprodpairin ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 cartprodmempair1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 cartprodmempair ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setunionE2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setunionsingleton1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setunionsingleton2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setunionsingleton ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 singletonprop ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ex1E1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ex1I ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ex1I2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 singletonsuniq ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setukpairinjL1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 kfstsingleton ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 theprop ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 kfstpairEq ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 cartprodfstin ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setukpairinjL2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setukpairinjL ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setukpairinjR11 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setukpairinjR12 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setukpairinjR1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 upairequniteq ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setukpairinjR2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setukpairinjR ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ksndsingleton ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ksndpairEq ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 kpairsurjEq ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 cartprodsndin ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 cartprodpairmemEL ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 cartprodpairmemER ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 cartprodmempaircEq ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 cartprodfstpairEq ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 cartprodsndpairEq ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 cartprodpairsurjEq ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 dpsetconstrI ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 dpsetconstrSub ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setOfPairsIsBReln ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 dpsetconstrERa ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 dpsetconstrEL1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 dpsetconstrEL2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 dpsetconstrER ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 funcImageSingleton ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 apProp ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 app ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 infuncsetfunc ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ap2p ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 funcinfuncset ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 lamProp ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 lamp ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 lam2p ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 brelnall1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 brelnall2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ex1E2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 funcGraphProp1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 funcGraphProp3 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 funcGraphProp2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 funcextLem ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 funcGraphProp4 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 subbreln ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 eqbreln ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 funcext ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 funcext2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ap2apEq1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ap2apEq2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 beta1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 eta1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 lam2lamEq ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 beta2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 eta2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 iffalseProp1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 iffalseProp2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 iftrueProp1 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 iftrueProp2 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ifSingleton ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ifp ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 theeq ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 iftrue ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 iffalse ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 iftrueorfalse ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binintersectT_lem ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 binunionT_lem ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X124:$i, 11.96/2.16 X126:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X126 @ 11.96/2.16 ( 11.96/2.16 powerset 11.96/2.16 @ 11.96/2.16 X124 ) ) => 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 ( 11.96/2.16 powerset 11.96/2.16 @ 11.96/2.16 X126 ) @ 11.96/2.16 ( 11.96/2.16 powerset 11.96/2.16 @ 11.96/2.16 ( 11.96/2.16 powerset 11.96/2.16 @ 11.96/2.16 X124 ) ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 setminusT_lem ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 complementT_lem ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X128:$i, 11.96/2.16 X130:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X130 @ 11.96/2.16 ( 11.96/2.16 powerset 11.96/2.16 @ 11.96/2.16 X128 ) ) => 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X132:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X132 @ 11.96/2.16 ( 11.96/2.16 powerset 11.96/2.16 @ 11.96/2.16 X128 ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X134:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X134 @ 11.96/2.16 X128 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X134 @ 11.96/2.16 X130 ) => 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X134 @ 11.96/2.16 X132 ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X136:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X136 @ 11.96/2.16 X128 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X136 @ 11.96/2.16 X132 ) => 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X136 @ 11.96/2.16 X130 ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 X130 ) = 11.96/2.16 ( 11.96/2.16 X132 ) ) ) ) ) ) ) ) => 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X138:$i, 11.96/2.16 X140:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X140 @ 11.96/2.16 ( 11.96/2.16 powerset 11.96/2.16 @ 11.96/2.16 X138 ) ) => 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X142:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X142 @ 11.96/2.16 ( 11.96/2.16 powerset 11.96/2.16 @ 11.96/2.16 X138 ) ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 ![ 11.96/2.16 X144:$i]: 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X144 @ 11.96/2.16 X138 ) => 11.96/2.16 ( 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X144 @ 11.96/2.16 X140 ) => 11.96/2.16 ( 11.96/2.16 in @ 11.96/2.16 X144 @ 11.96/2.16 X142 ) ) ) ) => 11.96/2.16 ( 11.96/2.16 subset @ 11.96/2.16 X140 @ 11.96/2.16 X142 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 11.96/2.16 inference('cnf.neg', [status(esa)], [zf_stmt_3])). 11.96/2.16 thf(zip_derived_cl202, plain, 11.96/2.16 (![X36 : $i, X37 : $i]: 11.96/2.16 ( (subset @ X36 @ X37) | ~ (in @ X36 @ (powerset @ X37)))), 11.96/2.16 inference('cnf', [status(esa)], [zf_stmt_4])). 11.96/2.16 thf(zip_derived_cl122, plain, (~ (subset @ sk__73 @ sk__74)), 11.96/2.16 inference('cnf', [status(esa)], [zf_stmt_4])). 11.96/2.16 thf(zip_derived_cl314, plain, (~ (in @ sk__73 @ (powerset @ sk__74))), 11.96/2.16 inference('sup-', [status(thm)], [zip_derived_cl202, zip_derived_cl122])). 11.96/2.16 thf(zip_derived_cl21, plain, 11.96/2.16 (![X0 : $i, X1 : $i]: 11.96/2.16 ( (in @ X0 @ (powerset @ X1)) | (in @ (sk__76 @ X0 @ X1) @ X0))), 11.96/2.16 inference('cnf', [status(esa)], [zf_stmt_4])). 11.96/2.16 thf(zip_derived_cl123, plain, 11.96/2.16 (![X28 : $i]: 11.96/2.16 (~ (in @ X28 @ sk__73) | (in @ X28 @ sk__74) | ~ (in @ X28 @ sk__72))), 11.96/2.16 inference('cnf', [status(esa)], [zf_stmt_4])). 11.96/2.16 thf(zip_derived_cl20, plain, 11.96/2.16 (![X0 : $i, X1 : $i]: 11.96/2.16 ( (in @ X0 @ (powerset @ X1)) | ~ (in @ (sk__76 @ X0 @ X1) @ X1))), 11.96/2.16 inference('cnf', [status(esa)], [zf_stmt_4])). 11.96/2.16 thf(zip_derived_cl538, plain, 11.96/2.16 (![X0 : $i]: 11.96/2.16 (~ (in @ (sk__76 @ X0 @ sk__74) @ sk__72) 11.96/2.16 | ~ (in @ (sk__76 @ X0 @ sk__74) @ sk__73) 11.96/2.16 | (in @ X0 @ (powerset @ sk__74)))), 11.96/2.16 inference('sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl20])). 11.96/2.16 thf(zip_derived_cl124, plain, ( (in @ sk__73 @ (powerset @ sk__72))), 11.96/2.16 inference('cnf', [status(esa)], [zf_stmt_4])). 11.96/2.16 thf(zip_derived_cl231, plain, 11.96/2.16 (![X56 : $i, X57 : $i, X58 : $i]: 11.96/2.16 (~ (in @ X56 @ (powerset @ X57)) 11.96/2.16 | (in @ X58 @ X57) 11.96/2.16 | ~ (in @ X58 @ X56))), 11.96/2.16 inference('cnf', [status(esa)], [zf_stmt_4])). 11.96/2.16 thf(zip_derived_cl586, plain, 11.96/2.16 (![X0 : $i]: (~ (in @ X0 @ sk__73) | (in @ X0 @ sk__72))), 11.96/2.16 inference('sup-', [status(thm)], [zip_derived_cl124, zip_derived_cl231])). 11.96/2.16 thf(zip_derived_cl4798, plain, 11.96/2.16 (![X0 : $i]: 11.96/2.16 ( (in @ X0 @ (powerset @ sk__74)) 11.96/2.16 | ~ (in @ (sk__76 @ X0 @ sk__74) @ sk__73))), 11.96/2.16 inference('clc', [status(thm)], [zip_derived_cl538, zip_derived_cl586])). 11.96/2.16 thf(zip_derived_cl4803, plain, 11.96/2.16 (( (in @ sk__73 @ (powerset @ sk__74)) 11.96/2.16 | (in @ sk__73 @ (powerset @ sk__74)))), 11.96/2.16 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl4798])). 11.96/2.16 thf(zip_derived_cl4814, plain, ( (in @ sk__73 @ (powerset @ sk__74))), 11.96/2.16 inference('simplify', [status(thm)], [zip_derived_cl4803])). 11.96/2.16 thf(zip_derived_cl4819, plain, ($false), 11.96/2.16 inference('demod', [status(thm)], [zip_derived_cl314, zip_derived_cl4814])). 11.96/2.16 11.96/2.16 % SZS output end Refutation 11.96/2.16 11.96/2.16 11.96/2.16 % Terminating... 11.96/2.22 % Runner terminated. 11.96/2.22 % Zipperpin 1.5 exiting 11.96/2.23 EOF