0.11/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2MI2fTCFqV true 0.15/0.36 % Computer : n026.cluster.edu 0.15/0.36 % Model : x86_64 x86_64 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.36 % Memory : 8042.1875MB 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.36 % CPULimit : 1200 0.15/0.36 % WCLimit : 120 0.15/0.36 % DateTime : Tue Jul 13 15:37:59 EDT 2021 0.15/0.36 % CPUTime : 0.15/0.36 % Running portfolio for 120 s 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.15/0.36 % Number of cores: 8 0.15/0.37 % Python version: Python 3.6.8 0.15/0.37 % Running in HO mode 0.54/0.66 % Total configuration time : 828 0.54/0.66 % Estimated wc time : 983 0.54/0.66 % Estimated cpu time (8 cpus) : 122.875 0.55/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 47s 0.55/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 47s 0.55/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 47s 0.55/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 18s 0.55/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 41s 0.55/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 24s 0.55/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 53s 0.55/0.76 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 35s 39.49/5.60 % Solved by lams/40_c_ic.sh. 39.49/5.60 % running E: timeout 27 /export/starexec/sandbox2/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox2/tmp/tmp.2MI2fTCFqV/e_input35b6af --cpu-limit=25 --auto-schedule -s -p 39.49/5.60 % done 3614 iterations in 4.799s 39.49/5.60 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 39.49/5.60 % SZS output start Refutation 39.49/5.60 thf(setadjoin_type, type, setadjoin: $i > $i > $i). 39.49/5.60 thf(binintersectER_type, type, binintersectER: $o). 39.49/5.60 thf(setadjoinSub_type, type, setadjoinSub: $o). 39.49/5.60 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o). 39.49/5.60 thf(vacuousDall_type, type, vacuousDall: $o). 39.49/5.60 thf(setadjoinIR_type, type, setadjoinIR: $o). 39.49/5.60 thf(powersetTI1_type, type, powersetTI1: $o). 39.49/5.60 thf(funcGraphProp1_type, type, funcGraphProp1: $o). 39.49/5.60 thf(funcext_type, type, funcext: $o). 39.49/5.60 thf(cartprodpairmemEL_type, type, cartprodpairmemEL: $o). 39.49/5.60 thf(doubleComplementI1_type, type, doubleComplementI1: $o). 39.49/5.60 thf(omega0Ax_type, type, omega0Ax: $o). 39.49/5.60 thf(subsetE_type, type, subsetE: $o). 39.49/5.60 thf(contrasubsetT3_type, type, contrasubsetT3: $o). 39.49/5.60 thf(binintersectSubset3_type, type, binintersectSubset3: $o). 39.49/5.60 thf(setminusER_type, type, setminusER: $o). 39.49/5.60 thf(setukpairinjL1_type, type, setukpairinjL1: $o). 39.49/5.60 thf(iftrue_type, type, iftrue: $o). 39.49/5.60 thf(lamProp_type, type, lamProp: $o). 39.49/5.60 thf(eqbreln_type, type, eqbreln: $o). 39.49/5.60 thf(binunionE_type, type, binunionE: $o). 39.49/5.60 thf(setadjoinSub2_type, type, setadjoinSub2: $o). 39.49/5.60 thf(powersetE_type, type, powersetE: $o). 39.49/5.60 thf(upairequniteq_type, type, upairequniteq: $o). 39.49/5.60 thf(binunionRsub_type, type, binunionRsub: $o). 39.49/5.60 thf(binintersectT_lem_type, type, binintersectT_lem: $o). 39.49/5.60 thf(dpsetconstrSub_type, type, dpsetconstrSub: $o). 39.49/5.60 thf(cartprodpairmemER_type, type, cartprodpairmemER: $o). 39.49/5.60 thf(quantDeMorgan3_type, type, quantDeMorgan3: $o). 39.49/5.60 thf(powerset__Cong_type, type, powerset__Cong: $o). 39.49/5.60 thf(singletonprop_type, type, singletonprop: $o). 39.49/5.60 thf(beta1_type, type, beta1: $o). 39.49/5.60 thf(setOfPairsIsBReln_type, type, setOfPairsIsBReln: $o). 39.49/5.60 thf(setminusT_lem_type, type, setminusT_lem: $o). 39.49/5.60 thf(omegaIndAx_type, type, omegaIndAx: $o). 39.49/5.60 thf(uniqinunit_type, type, uniqinunit: $o). 39.49/5.60 thf(dsetconstr__Cong_type, type, dsetconstr__Cong: $o). 39.49/5.60 thf(exu__Cong_type, type, exu__Cong: $o). 39.49/5.60 thf(subset2powerset_type, type, subset2powerset: $o). 39.49/5.60 thf(setoftrueEq_type, type, setoftrueEq: $o). 39.49/5.60 thf(dpsetconstrEL2_type, type, dpsetconstrEL2: $o). 39.49/5.60 thf(lam2p_type, type, lam2p: $o). 39.49/5.60 thf(iftrueProp1_type, type, iftrueProp1: $o). 39.49/5.60 thf(upairsetIL_type, type, upairsetIL: $o). 39.49/5.60 thf(disjointsetsI1_type, type, disjointsetsI1: $o). 39.49/5.60 thf(ksndpairEq_type, type, ksndpairEq: $o). 39.49/5.60 thf(emptyI_type, type, emptyI: $o). 39.49/5.60 thf(setukpairIL_type, type, setukpairIL: $o). 39.49/5.60 thf(dpsetconstrERa_type, type, dpsetconstrERa: $o). 39.49/5.60 thf(iftrueProp2_type, type, iftrueProp2: $o). 39.49/5.60 thf(funcImageSingleton_type, type, funcImageSingleton: $o). 39.49/5.60 thf(exuI3_type, type, exuI3: $o). 39.49/5.60 thf(emptysetAx_type, type, emptysetAx: $o). 39.49/5.60 thf(setukpairIR_type, type, setukpairIR: $o). 39.49/5.60 thf(funcinfuncset_type, type, funcinfuncset: $o). 39.49/5.60 thf(emptyInPowerset_type, type, emptyInPowerset: $o). 39.49/5.60 thf(cartprodfstin_type, type, cartprodfstin: $o). 39.49/5.60 thf(setadjoinIL_type, type, setadjoinIL: $o). 39.49/5.60 thf(upairsubunion_type, type, upairsubunion: $o). 39.49/5.60 thf(contrasubsetT1_type, type, contrasubsetT1: $o). 39.49/5.60 thf(theeq_type, type, theeq: $o). 39.49/5.60 thf(emptyinunitempty_type, type, emptyinunitempty: $o). 39.49/5.60 thf(upairsetIR_type, type, upairsetIR: $o). 39.49/5.60 thf(funcextLem_type, type, funcextLem: $o). 39.49/5.60 thf(infuncsetfunc_type, type, infuncsetfunc: $o). 39.49/5.60 thf(setukpairinjR11_type, type, setukpairinjR11: $o). 39.49/5.60 thf(ubforcartprodlem3_type, type, ubforcartprodlem3: $o). 39.49/5.60 thf(emptyset__Cong_type, type, emptyset__Cong: $o). 39.49/5.60 thf(ksndsingleton_type, type, ksndsingleton: $o). 39.49/5.60 thf(setminusI_type, type, setminusI: $o). 39.49/5.60 thf(ap2p_type, type, ap2p: $o). 39.49/5.60 thf(complementTE1_type, type, complementTE1: $o). 39.49/5.60 thf(cartprodmempaircEq_type, type, cartprodmempaircEq: $o). 39.49/5.60 thf(setukpairinjR2_type, type, setukpairinjR2: $o). 39.49/5.60 thf(descrp_type, type, descrp: $o). 39.49/5.60 thf(binintersectI_type, type, binintersectI: $o). 39.49/5.60 thf(nonemptyI1_type, type, nonemptyI1: $o). 39.49/5.60 thf(doubleComplementE1_type, type, doubleComplementE1: $o). 39.49/5.60 thf(emptysetsubset_type, type, emptysetsubset: $o). 39.49/5.60 thf(setunionAx_type, type, setunionAx: $o). 39.49/5.60 thf(notsubsetI_type, type, notsubsetI: $o). 39.49/5.60 thf(singletonsuniq_type, type, singletonsuniq: $o). 39.49/5.60 thf(dpsetconstrEL1_type, type, dpsetconstrEL1: $o). 39.49/5.60 thf(binintersectSubset5_type, type, binintersectSubset5: $o). 39.49/5.60 thf(upairset2IR_type, type, upairset2IR: $o). 39.49/5.60 thf(binunionLsub_type, type, binunionLsub: $o). 39.49/5.60 thf(subsetRefl_type, type, subsetRefl: $o). 39.49/5.60 thf(kfstpairEq_type, type, kfstpairEq: $o). 39.49/5.60 thf(powerset_type, type, powerset: $i > $i). 39.49/5.60 thf(setukpairinjR1_type, type, setukpairinjR1: $o). 39.49/5.60 thf(beta2_type, type, beta2: $o). 39.49/5.60 thf(nonemptyI_type, type, nonemptyI: $o). 39.49/5.60 thf(emptysetE_type, type, emptysetE: $o). 39.49/5.60 thf(sepInPowerset_type, type, sepInPowerset: $o). 39.49/5.60 thf(iftrueorfalse_type, type, iftrueorfalse: $o). 39.49/5.60 thf(cartprodsndin_type, type, cartprodsndin: $o). 39.49/5.60 thf(cartprodmempair1_type, type, cartprodmempair1: $o). 39.49/5.60 thf(ap2apEq2_type, type, ap2apEq2: $o). 39.49/5.60 thf(subsetemptysetimpeq_type, type, subsetemptysetimpeq: $o). 39.49/5.60 thf(powersetI_type, type, powersetI: $o). 39.49/5.60 thf(exuE2_type, type, exuE2: $o). 39.49/5.60 thf(exuE3e_type, type, exuE3e: $o). 39.49/5.60 thf(setminusSubset1_type, type, setminusSubset1: $o). 39.49/5.60 thf(notequalI2_type, type, notequalI2: $o). 39.49/5.60 thf(descr__Cong_type, type, descr__Cong: $o). 39.49/5.60 thf(iffalseProp1_type, type, iffalseProp1: $o). 39.49/5.60 thf(setextAx_type, type, setextAx: $o). 39.49/5.60 thf(quantDeMorgan1_type, type, quantDeMorgan1: $o). 39.49/5.60 thf(eqinunit_type, type, eqinunit: $o). 39.49/5.60 thf(cartprodpairsurjEq_type, type, cartprodpairsurjEq: $o). 39.49/5.60 thf(symdiffE_type, type, symdiffE: $o). 39.49/5.60 thf(upairinpowunion_type, type, upairinpowunion: $o). 39.49/5.60 thf(binintersectTERcontra_type, type, binintersectTERcontra: $o). 39.49/5.60 thf(binintersectSubset1_type, type, binintersectSubset1: $o). 39.49/5.60 thf(powersetAx_type, type, powersetAx: $o). 39.49/5.60 thf(upairset2E_type, type, upairset2E: $o). 39.49/5.60 thf(theprop_type, type, theprop: $o). 39.49/5.60 thf(subsetI2_type, type, subsetI2: $o). 39.49/5.60 thf(symdiffI1_type, type, symdiffI1: $o). 39.49/5.60 thf(setminus_type, type, setminus: $i > $i > $i). 39.49/5.60 thf(eta2_type, type, eta2: $o). 39.49/5.60 thf(subsetI1_type, type, subsetI1: $o). 39.49/5.60 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o). 39.49/5.60 thf(replAx_type, type, replAx: $o). 39.49/5.60 thf(subPowSU_type, type, subPowSU: $o). 39.49/5.60 thf(setunionE_type, type, setunionE: $o). 39.49/5.60 thf(complementT_lem_type, type, complementT_lem: $o). 39.49/5.60 thf(contrasubsetT2_type, type, contrasubsetT2: $o). 39.49/5.60 thf(brelnall2_type, type, brelnall2: $o). 39.49/5.60 thf(setunionsingleton_type, type, setunionsingleton: $o). 39.49/5.60 thf(setunion__Cong_type, type, setunion__Cong: $o). 39.49/5.60 thf(lamp_type, type, lamp: $o). 39.49/5.60 thf(iffalse_type, type, iffalse: $o). 39.49/5.60 thf(bs114d_type, type, bs114d: $o). 39.49/5.60 thf(setminusSubset2_type, type, setminusSubset2: $o). 39.49/5.60 thf(powersetE1_type, type, powersetE1: $o). 39.49/5.60 thf(ubforcartprodlem2_type, type, ubforcartprodlem2: $o). 39.49/5.60 thf(powersetT_lem_type, type, powersetT_lem: $o). 39.49/5.60 thf(omegaSAx_type, type, omegaSAx: $o). 39.49/5.60 thf(funcGraphProp4_type, type, funcGraphProp4: $o). 39.49/5.60 thf(contrasubsetT_type, type, contrasubsetT: $o). 39.49/5.60 thf(setext_type, type, setext: $o). 39.49/5.60 thf(setextT_type, type, setextT: $o). 39.49/5.60 thf(notequalI1_type, type, notequalI1: $o). 39.49/5.60 thf(setextsub_type, type, setextsub: $o). 39.49/5.60 thf(setukpairinjL2_type, type, setukpairinjL2: $o). 39.49/5.60 thf(kpairp_type, type, kpairp: $o). 39.49/5.60 thf(setukpairinjR_type, type, setukpairinjR: $o). 39.49/5.60 thf(omega__Cong_type, type, omega__Cong: $o). 39.49/5.60 thf(symdiffI2_type, type, symdiffI2: $o). 39.49/5.60 thf(apProp_type, type, apProp: $o). 39.49/5.60 thf(complementTI1_type, type, complementTI1: $o). 39.49/5.60 thf(setbeta_type, type, setbeta: $o). 39.49/5.60 thf(dsetconstrER_type, type, dsetconstrER: $o). 39.49/5.60 thf(binintersectTELcontra_type, type, binintersectTELcontra: $o). 39.49/5.60 thf(app_type, type, app: $o). 39.49/5.60 thf(nonemptyE1_type, type, nonemptyE1: $o). 39.49/5.60 thf(binunionIL_type, type, binunionIL: $o). 39.49/5.60 thf(prop2setE_type, type, prop2setE: $o). 39.49/5.60 thf(prop2set2propI_type, type, prop2set2propI: $o). 39.49/5.60 thf(notdallE_type, type, notdallE: $o). 39.49/5.60 thf(eqimpsubset1_type, type, eqimpsubset1: $o). 39.49/5.60 thf(exuEu_type, type, exuEu: $o). 39.49/5.60 thf(singletoninpowerset_type, type, singletoninpowerset: $o). 39.49/5.60 thf(notinsingleton_type, type, notinsingleton: $o). 39.49/5.60 thf(upairsetE_type, type, upairsetE: $o). 39.49/5.60 thf(emptyE1_type, type, emptyE1: $o). 39.49/5.60 thf(funcGraphProp3_type, type, funcGraphProp3: $o). 39.49/5.60 thf(emptyinPowerset_type, type, emptyinPowerset: $o). 39.49/5.60 thf(cartprodmempair_type, type, cartprodmempair: $o). 39.49/5.60 thf(binunionEcases_type, type, binunionEcases: $o). 39.49/5.60 thf(symdiffIneg1_type, type, symdiffIneg1: $o). 39.49/5.60 thf(binintersectSubset4_type, type, binintersectSubset4: $o). 39.49/5.60 thf(ex1I_type, type, ex1I: $o). 39.49/5.60 thf(ex1E1_type, type, ex1E1: $o). 39.49/5.60 thf(wellorderingAx_type, type, wellorderingAx: $o). 39.49/5.60 thf(singletoninpowunion_type, type, singletoninpowunion: $o). 39.49/5.60 thf(binintersectLsub_type, type, binintersectLsub: $o). 39.49/5.60 thf(binintersectRsub_type, type, binintersectRsub: $o). 39.49/5.60 thf(powersetsubset_type, type, powersetsubset: $o). 39.49/5.60 thf(emptyset_type, type, emptyset: $i). 39.49/5.60 thf(ubforcartprodlem1_type, type, ubforcartprodlem1: $o). 39.49/5.60 thf(noeltsimpempty_type, type, noeltsimpempty: $o). 39.49/5.60 thf(exuE1_type, type, exuE1: $o). 39.49/5.60 thf(inPowerset_type, type, inPowerset: $o). 39.49/5.60 thf(ifSingleton_type, type, ifSingleton: $o). 39.49/5.60 thf(in_type, type, in: $i > $i > $o). 39.49/5.60 thf(brelnall1_type, type, brelnall1: $o). 39.49/5.60 thf(cartprodpairin_type, type, cartprodpairin: $o). 39.49/5.60 thf(setunionI_type, type, setunionI: $o). 39.49/5.60 thf(in__Cong_type, type, in__Cong: $o). 39.49/5.60 thf(setadjoinE_type, type, setadjoinE: $o). 39.49/5.60 thf(subsetTrans_type, type, subsetTrans: $o). 39.49/5.60 thf(dsetconstrEL_type, type, dsetconstrEL: $o). 39.49/5.60 thf(powersetTE1_type, type, powersetTE1: $o). 39.49/5.60 thf(symdiffIneg2_type, type, symdiffIneg2: $o). 39.49/5.60 thf(setminusIRneg_type, type, setminusIRneg: $o). 39.49/5.60 thf(setminusELneg_type, type, setminusELneg: $o). 39.49/5.60 thf(foundationAx_type, type, foundationAx: $o). 39.49/5.60 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o). 39.49/5.60 thf(sepSubset_type, type, sepSubset: $o). 39.49/5.60 thf(exuE3u_type, type, exuE3u: $o). 39.49/5.60 thf(kpairiskpair_type, type, kpairiskpair: $o). 39.49/5.60 thf(funcGraphProp2_type, type, funcGraphProp2: $o). 39.49/5.60 thf(binunionT_lem_type, type, binunionT_lem: $o). 39.49/5.60 thf(dpsetconstrI_type, type, dpsetconstrI: $o). 39.49/5.60 thf(subsetTI_type, type, subsetTI: $o). 39.49/5.60 thf(setadjoinOr_type, type, setadjoinOr: $o). 39.49/5.60 thf(exuI1_type, type, exuI1: $o). 39.49/5.60 thf(doubleComplementSub1_type, type, doubleComplementSub1: $o). 39.49/5.60 thf(setukpairinjR12_type, type, setukpairinjR12: $o). 39.49/5.60 thf(quantDeMorgan2_type, type, quantDeMorgan2: $o). 39.49/5.60 thf(binunionIR_type, type, binunionIR: $o). 39.49/5.60 thf(inCongP_type, type, inCongP: $o). 39.49/5.60 thf(setminusLsub_type, type, setminusLsub: $o). 39.49/5.60 thf(binintersectSubset2_type, type, binintersectSubset2: $o). 39.49/5.60 thf(setadjoin__Cong_type, type, setadjoin__Cong: $o). 39.49/5.60 thf(eqimpsubset2_type, type, eqimpsubset2: $o). 39.49/5.60 thf(setukpairinjL_type, type, setukpairinjL: $o). 39.49/5.60 thf(subbreln_type, type, subbreln: $o). 39.49/5.60 thf(setminusERneg_type, type, setminusERneg: $o). 39.49/5.60 thf(ifp_type, type, ifp: $o). 39.49/5.60 thf(eta1_type, type, eta1: $o). 39.49/5.60 thf(exuI2_type, type, exuI2: $o). 39.49/5.60 thf(powersetI1_type, type, powersetI1: $o). 39.49/5.60 thf(kpairsurjEq_type, type, kpairsurjEq: $o). 39.49/5.60 thf(iffalseProp2_type, type, iffalseProp2: $o). 39.49/5.60 thf(setunionsingleton1_type, type, setunionsingleton1: $o). 39.49/5.60 thf(dpsetconstrER_type, type, dpsetconstrER: $o). 39.49/5.60 thf(setminusILneg_type, type, setminusILneg: $o). 39.49/5.60 thf(dsetconstrI_type, type, dsetconstrI: $o). 39.49/5.60 thf(ex1I2_type, type, ex1I2: $o). 39.49/5.60 thf(funcext2_type, type, funcext2: $o). 39.49/5.60 thf(setminusEL_type, type, setminusEL: $o). 39.49/5.60 thf(singletonsubset_type, type, singletonsubset: $o). 39.49/5.60 thf(kfstsingleton_type, type, kfstsingleton: $o). 39.49/5.60 thf(secondinupair_type, type, secondinupair: $o). 39.49/5.60 thf(cartprodsndpairEq_type, type, cartprodsndpairEq: $o). 39.49/5.60 thf(lam2lamEq_type, type, lam2lamEq: $o). 39.49/5.60 thf(ex1E2_type, type, ex1E2: $o). 39.49/5.60 thf(subsetE2_type, type, subsetE2: $o). 39.49/5.60 thf(singletonsswitch_type, type, singletonsswitch: $o). 39.49/5.60 thf(sk__146_type, type, sk__146: $i). 39.49/5.60 thf(binintersectEL_type, type, binintersectEL: $o). 39.49/5.60 thf(setadjoinAx_type, type, setadjoinAx: $o). 39.49/5.60 thf(quantDeMorgan4_type, type, quantDeMorgan4: $o). 39.49/5.60 thf(notinemptyset_type, type, notinemptyset: $o). 39.49/5.60 thf(prop2setI_type, type, prop2setI: $o). 39.49/5.60 thf(ap2apEq1_type, type, ap2apEq1: $o). 39.49/5.60 thf(setunionsingleton2_type, type, setunionsingleton2: $o). 39.49/5.60 thf(setunionE2_type, type, setunionE2: $o). 39.49/5.60 thf(sk__145_type, type, sk__145: $i). 39.49/5.60 thf(cartprodfstpairEq_type, type, cartprodfstpairEq: $o). 39.49/5.60 thf(subset_type, type, subset: $i > $i > $o). 39.49/5.60 thf(notdexE_type, type, notdexE: $o). 39.49/5.60 thf(doubleComplementSub1, axiom, doubleComplementSub1 = 39.49/5.60 (![A:$i,X:$i]: 39.49/5.60 ( ( in @ X @ ( powerset @ A ) ) => 39.49/5.60 ( subset @ X @ ( setminus @ A @ ( setminus @ A @ X ) ) ) ))). 39.49/5.60 thf('0', plain, 39.49/5.60 (( doubleComplementSub1 ) = 39.49/5.60 ( ![X4:$i,X6:$i]: 39.49/5.60 ( ( in @ X6 @ ( powerset @ X4 ) ) => 39.49/5.60 ( subset @ X6 @ ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) ) ) )), 39.49/5.60 define([status(thm)])). 39.49/5.60 thf(doubleComplementE1, axiom, doubleComplementE1 = 39.49/5.60 (![A:$i,X:$i]: 39.49/5.60 ( ( in @ X @ ( powerset @ A ) ) => 39.49/5.60 ( ![Xx:$i]: 39.49/5.60 ( ( in @ Xx @ A ) => 39.49/5.60 ( ( in @ Xx @ ( setminus @ A @ ( setminus @ A @ X ) ) ) => 39.49/5.60 ( in @ Xx @ X ) ) ) ) ))). 39.49/5.60 thf('1', plain, 39.49/5.60 (( doubleComplementE1 ) = 39.49/5.60 ( ![X4:$i,X6:$i]: 39.49/5.60 ( ( in @ X6 @ ( powerset @ X4 ) ) => 39.49/5.60 ( ![X8:$i]: 39.49/5.60 ( ( in @ X8 @ X4 ) => 39.49/5.60 ( ( in @ X8 @ ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) ) => 39.49/5.60 ( in @ X8 @ X6 ) ) ) ) ) )), 39.49/5.60 define([status(thm)])). 39.49/5.60 thf(doubleComplementI1, axiom, doubleComplementI1 = 39.49/5.60 (![A:$i,X:$i]: 39.49/5.60 ( ( in @ X @ ( powerset @ A ) ) => 39.49/5.60 ( ![Xx:$i]: 39.49/5.60 ( ( in @ Xx @ A ) => 39.49/5.60 ( ( in @ Xx @ X ) => 39.49/5.60 ( in @ Xx @ ( setminus @ A @ ( setminus @ A @ X ) ) ) ) ) ) ))). 39.49/5.60 thf('2', plain, 39.49/5.60 (( doubleComplementI1 ) = 39.49/5.60 ( ![X4:$i,X6:$i]: 39.49/5.60 ( ( in @ X6 @ ( powerset @ X4 ) ) => 39.49/5.60 ( ![X8:$i]: 39.49/5.60 ( ( in @ X8 @ X4 ) => 39.49/5.60 ( ( in @ X8 @ X6 ) => 39.49/5.60 ( in @ X8 @ ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) ) )), 39.49/5.60 define([status(thm)])). 39.49/5.60 thf(contrasubsetT3, axiom, contrasubsetT3 = 39.49/5.60 (![A:$i,X:$i]: 39.49/5.60 ( ( in @ X @ ( powerset @ A ) ) => 39.49/5.60 ( ![Y:$i]: 39.49/5.60 ( ( in @ Y @ ( powerset @ A ) ) => 39.49/5.60 ( ( subset @ ( setminus @ A @ Y ) @ ( setminus @ A @ X ) ) => 39.49/5.60 ( subset @ X @ Y ) ) ) ) ))). 39.49/5.60 thf('3', plain, 39.49/5.60 (( contrasubsetT3 ) = 39.49/5.60 ( ![X4:$i,X6:$i]: 39.49/5.60 ( ( in @ X6 @ ( powerset @ X4 ) ) => 39.49/5.60 ( ![X8:$i]: 39.49/5.60 ( ( in @ X8 @ ( powerset @ X4 ) ) => 39.49/5.60 ( ( subset @ ( setminus @ X4 @ X8 ) @ ( setminus @ X4 @ X6 ) ) => 39.49/5.60 ( subset @ X6 @ X8 ) ) ) ) ) )), 39.49/5.60 define([status(thm)])). 39.49/5.60 thf(contrasubsetT2, axiom, contrasubsetT2 = 39.49/5.60 (![A:$i,X:$i]: 39.49/5.60 ( ( in @ X @ ( powerset @ A ) ) => 39.49/5.60 ( ![Y:$i]: 39.49/5.60 ( ( in @ Y @ ( powerset @ A ) ) => 39.49/5.60 ( ( subset @ X @ Y ) => 39.49/5.60 ( subset @ ( setminus @ A @ Y ) @ ( setminus @ A @ X ) ) ) ) ) ))). 39.49/5.60 thf('4', plain, 39.49/5.60 (( contrasubsetT2 ) = 39.49/5.60 ( ![X4:$i,X6:$i]: 39.49/5.60 ( ( in @ X6 @ ( powerset @ X4 ) ) => 39.49/5.60 ( ![X8:$i]: 39.49/5.60 ( ( in @ X8 @ ( powerset @ X4 ) ) => 39.49/5.60 ( ( subset @ X6 @ X8 ) => 39.49/5.60 ( subset @ ( setminus @ X4 @ X8 ) @ ( setminus @ X4 @ X6 ) ) ) ) ) ) )), 39.49/5.60 define([status(thm)])). 39.49/5.60 thf(contrasubsetT1, axiom, contrasubsetT1 = 39.49/5.60 (![A:$i,X:$i]: 39.49/5.60 ( ( in @ X @ ( powerset @ A ) ) => 39.49/5.60 ( ![Y:$i]: 39.49/5.60 ( ( in @ Y @ ( powerset @ A ) ) => 39.49/5.60 ( ![Xx:$i]: 39.49/5.60 ( ( in @ Xx @ A ) => 39.49/5.60 ( ( subset @ X @ Y ) => 39.49/5.60 ( ( ~( in @ Xx @ Y ) ) => ( ~( in @ Xx @ X ) ) ) ) ) ) ) ) ))). 39.49/5.60 thf('5', plain, 39.49/5.60 (( contrasubsetT1 ) = 39.49/5.60 ( ![X4:$i,X6:$i]: 39.49/5.60 ( ( in @ X6 @ ( powerset @ X4 ) ) => 39.49/5.60 ( ![X8:$i]: 39.49/5.60 ( ( in @ X8 @ ( powerset @ X4 ) ) => 39.49/5.60 ( ![X10:$i]: 39.49/5.60 ( ( in @ X10 @ X4 ) => 39.49/5.60 ( ( subset @ X6 @ X8 ) => 39.49/5.60 ( ( ~( in @ X10 @ X8 ) ) => ( ~( in @ X10 @ X6 ) ) ) ) ) ) ) ) ) )), 39.49/5.60 define([status(thm)])). 39.49/5.60 thf(contrasubsetT, axiom, contrasubsetT = 39.49/5.60 (![A:$i,X:$i]: 39.49/5.60 ( ( in @ X @ ( powerset @ A ) ) => 39.49/5.60 ( ![Y:$i]: 39.49/5.60 ( ( in @ Y @ ( powerset @ A ) ) => 39.49/5.60 ( ![Xx:$i]: 39.49/5.60 ( ( in @ Xx @ A ) => 39.49/5.60 ( ( subset @ X @ ( setminus @ A @ Y ) ) => 39.49/5.60 ( ( in @ Xx @ Y ) => ( ~( in @ Xx @ X ) ) ) ) ) ) ) ) ))). 39.49/5.60 thf('6', plain, 39.49/5.60 (( contrasubsetT ) = 39.49/5.60 ( ![X4:$i,X6:$i]: 39.49/5.60 ( ( in @ X6 @ ( powerset @ X4 ) ) => 39.49/5.60 ( ![X8:$i]: 39.49/5.60 ( ( in @ X8 @ ( powerset @ X4 ) ) => 39.49/5.60 ( ![X10:$i]: 39.49/5.60 ( ( in @ X10 @ X4 ) => 39.49/5.60 ( ( subset @ X6 @ ( setminus @ X4 @ X8 ) ) => 39.49/5.60 ( ( in @ X10 @ X8 ) => ( ~( in @ X10 @ X6 ) ) ) ) ) ) ) ) ) )), 39.49/5.60 define([status(thm)])). 39.49/5.60 thf(complementTE1, axiom, complementTE1 = 39.49/5.60 (![A:$i,X:$i]: 39.49/5.60 ( ( in @ X @ ( powerset @ A ) ) => 39.49/5.60 ( ![Xx:$i]: 39.49/5.60 ( ( in @ Xx @ A ) => 39.49/5.60 ( ( ~( in @ Xx @ ( setminus @ A @ X ) ) ) => ( in @ Xx @ X ) ) ) ) ))). 39.49/5.60 thf('7', plain, 39.49/5.60 (( complementTE1 ) = 39.49/5.60 ( ![X4:$i,X6:$i]: 39.49/5.60 ( ( in @ X6 @ ( powerset @ X4 ) ) => 39.49/5.60 ( ![X8:$i]: 39.49/5.60 ( ( in @ X8 @ X4 ) => 39.49/5.60 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => ( in @ X8 @ X6 ) ) ) ) ) )), 39.49/5.60 define([status(thm)])). 39.49/5.60 thf(complementTI1, axiom, complementTI1 = 39.49/5.60 (![A:$i,X:$i]: 39.49/5.60 ( ( in @ X @ ( powerset @ A ) ) => 39.49/5.60 ( ![Xx:$i]: 39.49/5.60 ( ( in @ Xx @ A ) => 39.49/5.60 ( ( in @ Xx @ X ) => ( ~( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ))). 39.49/5.60 thf('8', plain, 39.49/5.60 (( complementTI1 ) = 39.49/5.60 ( ![X4:$i,X6:$i]: 39.49/5.60 ( ( in @ X6 @ ( powerset @ X4 ) ) => 39.49/5.60 ( ![X8:$i]: 39.49/5.60 ( ( in @ X8 @ X4 ) => 39.49/5.60 ( ( in @ X8 @ X6 ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) ) )), 39.49/5.60 define([status(thm)])). 39.49/5.60 thf(powersetTE1, axiom, powersetTE1 = 39.49/5.60 (![A:$i,X:$i]: 39.49/5.60 ( ( in @ X @ ( powerset @ A ) ) => 39.49/5.60 ( ![Y:$i]: 39.49/5.60 ( ( in @ Y @ ( powerset @ A ) ) => 39.49/5.60 ( ![Xx:$i]: 39.49/5.60 ( ( in @ Xx @ A ) => 39.49/5.60 ( ( in @ X @ ( powerset @ Y ) ) => 39.49/5.60 ( ( in @ Xx @ X ) => ( in @ Xx @ Y ) ) ) ) ) ) ) ))). 39.49/5.60 thf('9', plain, 39.49/5.60 (( powersetTE1 ) = 39.49/5.60 ( ![X4:$i,X6:$i]: 39.49/5.60 ( ( in @ X6 @ ( powerset @ X4 ) ) => 39.49/5.60 ( ![X8:$i]: 39.49/5.60 ( ( in @ X8 @ ( powerset @ X4 ) ) => 39.49/5.60 ( ![X10:$i]: 39.49/5.60 ( ( in @ X10 @ X4 ) => 39.49/5.60 ( ( in @ X6 @ ( powerset @ X8 ) ) => 39.49/5.60 ( ( in @ X10 @ X6 ) => ( in @ X10 @ X8 ) ) ) ) ) ) ) ) )), 39.49/5.60 define([status(thm)])). 39.49/5.60 thf(powersetTI1, axiom, powersetTI1 = 39.49/5.60 (![A:$i,X:$i]: 39.49/5.60 ( ( in @ X @ ( powerset @ A ) ) => 39.49/5.60 ( ![Y:$i]: 39.49/5.60 ( ( in @ Y @ ( powerset @ A ) ) => 39.49/5.61 ( ( ![Xx:$i]: 39.49/5.61 ( ( in @ Xx @ A ) => ( ( in @ Xx @ X ) => ( in @ Xx @ Y ) ) ) ) => 39.49/5.61 ( in @ X @ ( powerset @ Y ) ) ) ) ) ))). 39.49/5.61 thf('10', plain, 39.49/5.61 (( powersetTI1 ) = 39.49/5.61 ( ![X4:$i,X6:$i]: 39.49/5.61 ( ( in @ X6 @ ( powerset @ X4 ) ) => 39.49/5.61 ( ![X8:$i]: 39.49/5.61 ( ( in @ X8 @ ( powerset @ X4 ) ) => 39.49/5.61 ( ( ![X10:$i]: 39.49/5.61 ( ( in @ X10 @ X4 ) => 39.49/5.61 ( ( in @ X10 @ X6 ) => ( in @ X10 @ X8 ) ) ) ) => 39.49/5.61 ( in @ X6 @ ( powerset @ X8 ) ) ) ) ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(subsetTI, axiom, subsetTI = 39.49/5.61 (![A:$i,X:$i]: 39.49/5.61 ( ( in @ X @ ( powerset @ A ) ) => 39.49/5.61 ( ![Y:$i]: 39.49/5.61 ( ( in @ Y @ ( powerset @ A ) ) => 39.49/5.61 ( ( ![Xx:$i]: 39.49/5.61 ( ( in @ Xx @ A ) => ( ( in @ Xx @ X ) => ( in @ Xx @ Y ) ) ) ) => 39.49/5.61 ( subset @ X @ Y ) ) ) ) ))). 39.49/5.61 thf('11', plain, 39.49/5.61 (( subsetTI ) = 39.49/5.61 ( ![X4:$i,X6:$i]: 39.49/5.61 ( ( in @ X6 @ ( powerset @ X4 ) ) => 39.49/5.61 ( ![X8:$i]: 39.49/5.61 ( ( in @ X8 @ ( powerset @ X4 ) ) => 39.49/5.61 ( ( ![X10:$i]: 39.49/5.61 ( ( in @ X10 @ X4 ) => 39.49/5.61 ( ( in @ X10 @ X6 ) => ( in @ X10 @ X8 ) ) ) ) => 39.49/5.61 ( subset @ X6 @ X8 ) ) ) ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(setextT, axiom, setextT = 39.49/5.61 (![A:$i,X:$i]: 39.49/5.61 ( ( in @ X @ ( powerset @ A ) ) => 39.49/5.61 ( ![Y:$i]: 39.49/5.61 ( ( in @ Y @ ( powerset @ A ) ) => 39.49/5.61 ( ( ![Xx:$i]: 39.49/5.61 ( ( in @ Xx @ A ) => ( ( in @ Xx @ X ) => ( in @ Xx @ Y ) ) ) ) => 39.49/5.61 ( ( ![Xx:$i]: 39.49/5.61 ( ( in @ Xx @ A ) => ( ( in @ Xx @ Y ) => ( in @ Xx @ X ) ) ) ) => 39.49/5.61 ( ( X ) = ( Y ) ) ) ) ) ) ))). 39.49/5.61 thf('12', plain, 39.49/5.61 (( setextT ) = 39.49/5.61 ( ![X4:$i,X6:$i]: 39.49/5.61 ( ( in @ X6 @ ( powerset @ X4 ) ) => 39.49/5.61 ( ![X8:$i]: 39.49/5.61 ( ( in @ X8 @ ( powerset @ X4 ) ) => 39.49/5.61 ( ( ![X10:$i]: 39.49/5.61 ( ( in @ X10 @ X4 ) => 39.49/5.61 ( ( in @ X10 @ X6 ) => ( in @ X10 @ X8 ) ) ) ) => 39.49/5.61 ( ( ![X12:$i]: 39.49/5.61 ( ( in @ X12 @ X4 ) => 39.49/5.61 ( ( in @ X12 @ X8 ) => ( in @ X12 @ X6 ) ) ) ) => 39.49/5.61 ( ( X6 ) = ( X8 ) ) ) ) ) ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(complementT_lem, axiom, complementT_lem = 39.49/5.61 (![A:$i,X:$i]: 39.49/5.61 ( ( in @ X @ ( powerset @ A ) ) => 39.49/5.61 ( in @ ( setminus @ A @ X ) @ ( powerset @ A ) ) ))). 39.49/5.61 thf('13', plain, 39.49/5.61 (( complementT_lem ) = 39.49/5.61 ( ![X4:$i,X6:$i]: 39.49/5.61 ( ( in @ X6 @ ( powerset @ X4 ) ) => 39.49/5.61 ( in @ ( setminus @ X4 @ X6 ) @ ( powerset @ X4 ) ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(setminusT_lem, axiom, setminusT_lem = 39.49/5.61 (![A:$i,X:$i]: 39.49/5.61 ( ( in @ X @ ( powerset @ A ) ) => 39.49/5.61 ( ![Y:$i]: 39.49/5.61 ( ( in @ Y @ ( powerset @ A ) ) => 39.49/5.61 ( in @ ( setminus @ X @ Y ) @ ( powerset @ A ) ) ) ) ))). 39.49/5.61 thf('14', plain, 39.49/5.61 (( setminusT_lem ) = 39.49/5.61 ( ![X4:$i,X6:$i]: 39.49/5.61 ( ( in @ X6 @ ( powerset @ X4 ) ) => 39.49/5.61 ( ![X8:$i]: 39.49/5.61 ( ( in @ X8 @ ( powerset @ X4 ) ) => 39.49/5.61 ( in @ ( setminus @ X6 @ X8 ) @ ( powerset @ X4 ) ) ) ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(powersetT_lem, axiom, powersetT_lem = 39.49/5.61 (![A:$i,X:$i]: 39.49/5.61 ( ( in @ X @ ( powerset @ A ) ) => 39.49/5.61 ( in @ ( powerset @ X ) @ ( powerset @ ( powerset @ A ) ) ) ))). 39.49/5.61 thf('15', plain, 39.49/5.61 (( powersetT_lem ) = 39.49/5.61 ( ![X4:$i,X6:$i]: 39.49/5.61 ( ( in @ X6 @ ( powerset @ X4 ) ) => 39.49/5.61 ( in @ ( powerset @ X6 ) @ ( powerset @ ( powerset @ X4 ) ) ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(singletoninpowerset, axiom, singletoninpowerset = 39.49/5.61 (![A:$i,Xx:$i]: 39.49/5.61 ( ( in @ Xx @ A ) => 39.49/5.61 ( in @ ( setadjoin @ Xx @ emptyset ) @ ( powerset @ A ) ) ))). 39.49/5.61 thf('16', plain, 39.49/5.61 (( singletoninpowerset ) = 39.49/5.61 ( ![X4:$i,X6:$i]: 39.49/5.61 ( ( in @ X6 @ X4 ) => 39.49/5.61 ( in @ ( setadjoin @ X6 @ emptyset ) @ ( powerset @ X4 ) ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(singletonsubset, axiom, singletonsubset = 39.49/5.61 (![A:$i,Xx:$i]: 39.49/5.61 ( ( in @ Xx @ A ) => ( subset @ ( setadjoin @ Xx @ emptyset ) @ A ) ))). 39.49/5.61 thf('17', plain, 39.49/5.61 (( singletonsubset ) = 39.49/5.61 ( ![X4:$i,X6:$i]: 39.49/5.61 ( ( in @ X6 @ X4 ) => ( subset @ ( setadjoin @ X6 @ emptyset ) @ X4 ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(setminusSubset1, axiom, setminusSubset1 = 39.49/5.61 (![A:$i,B:$i]: 39.49/5.61 ( ( ( setminus @ A @ B ) = ( emptyset ) ) => ( subset @ A @ B ) ))). 39.49/5.61 thf('18', plain, 39.49/5.61 (( setminusSubset1 ) = 39.49/5.61 ( ![X4:$i,X6:$i]: 39.49/5.61 ( ( ( setminus @ X4 @ X6 ) = ( emptyset ) ) => ( subset @ X4 @ X6 ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(setminusLsub, axiom, setminusLsub = 39.49/5.61 (![A:$i,B:$i]: ( subset @ ( setminus @ A @ B ) @ A ))). 39.49/5.61 thf('19', plain, 39.49/5.61 (( setminusLsub ) = 39.49/5.61 ( ![X4:$i,X6:$i]: ( subset @ ( setminus @ X4 @ X6 ) @ X4 ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(setminusIRneg, axiom, setminusIRneg = 39.49/5.61 (![A:$i,B:$i,Xx:$i]: 39.49/5.61 ( ( in @ Xx @ B ) => ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 39.49/5.61 thf('20', plain, 39.49/5.61 (( setminusIRneg ) = 39.49/5.61 ( ![X4:$i,X6:$i,X8:$i]: 39.49/5.61 ( ( in @ X8 @ X6 ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(setminusILneg, axiom, setminusILneg = 39.49/5.61 (![A:$i,B:$i,Xx:$i]: 39.49/5.61 ( ( ~( in @ Xx @ A ) ) => ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 39.49/5.61 thf('21', plain, 39.49/5.61 (( setminusILneg ) = 39.49/5.61 ( ![X4:$i,X6:$i,X8:$i]: 39.49/5.61 ( ( ~( in @ X8 @ X4 ) ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(setminusELneg, axiom, setminusELneg = 39.49/5.61 (![A:$i,B:$i,Xx:$i]: 39.49/5.61 ( ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) => 39.49/5.61 ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))). 39.49/5.61 thf('22', plain, 39.49/5.61 (( setminusELneg ) = 39.49/5.61 ( ![X4:$i,X6:$i,X8:$i]: 39.49/5.61 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => 39.49/5.61 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(setminusERneg, axiom, setminusERneg = 39.49/5.61 (![A:$i,B:$i,Xx:$i]: 39.49/5.61 ( ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) => 39.49/5.61 ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))). 39.49/5.61 thf('23', plain, 39.49/5.61 (( setminusERneg ) = 39.49/5.61 ( ![X4:$i,X6:$i,X8:$i]: 39.49/5.61 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => 39.49/5.61 ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(setminusSubset2, axiom, setminusSubset2 = 39.49/5.61 (![A:$i,B:$i]: 39.49/5.61 ( ( subset @ A @ B ) => ( ( setminus @ A @ B ) = ( emptyset ) ) ))). 39.49/5.61 thf('24', plain, 39.49/5.61 (( setminusSubset2 ) = 39.49/5.61 ( ![X4:$i,X6:$i]: 39.49/5.61 ( ( subset @ X4 @ X6 ) => ( ( setminus @ X4 @ X6 ) = ( emptyset ) ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(setminusER, axiom, setminusER = 39.49/5.61 (![A:$i,B:$i,Xx:$i]: 39.49/5.61 ( ( in @ Xx @ ( setminus @ A @ B ) ) => ( ~( in @ Xx @ B ) ) ))). 39.49/5.61 thf('25', plain, 39.49/5.61 (( setminusER ) = 39.49/5.61 ( ![X4:$i,X6:$i,X8:$i]: 39.49/5.61 ( ( in @ X8 @ ( setminus @ X4 @ X6 ) ) => ( ~( in @ X8 @ X6 ) ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(setminusEL, axiom, setminusEL = 39.49/5.61 (![A:$i,B:$i,Xx:$i]: 39.49/5.61 ( ( in @ Xx @ ( setminus @ A @ B ) ) => ( in @ Xx @ A ) ))). 39.49/5.61 thf('26', plain, 39.49/5.61 (( setminusEL ) = 39.49/5.61 ( ![X4:$i,X6:$i,X8:$i]: 39.49/5.61 ( ( in @ X8 @ ( setminus @ X4 @ X6 ) ) => ( in @ X8 @ X4 ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(setminusI, axiom, setminusI = 39.49/5.61 (![A:$i,B:$i,Xx:$i]: 39.49/5.61 ( ( in @ Xx @ A ) => 39.49/5.61 ( ( ~( in @ Xx @ B ) ) => ( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 39.49/5.61 thf('27', plain, 39.49/5.61 (( setminusI ) = 39.49/5.61 ( ![X4:$i,X6:$i,X8:$i]: 39.49/5.61 ( ( in @ X8 @ X4 ) => 39.49/5.61 ( ( ~( in @ X8 @ X6 ) ) => ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(powersetsubset, axiom, powersetsubset = 39.49/5.61 (![A:$i,B:$i]: 39.49/5.61 ( ( subset @ A @ B ) => ( subset @ ( powerset @ A ) @ ( powerset @ B ) ) ))). 39.49/5.61 thf('28', plain, 39.49/5.61 (( powersetsubset ) = 39.49/5.61 ( ![X4:$i,X6:$i]: 39.49/5.61 ( ( subset @ X4 @ X6 ) => 39.49/5.61 ( subset @ ( powerset @ X4 ) @ ( powerset @ X6 ) ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(inPowerset, axiom, inPowerset = (![A:$i]: ( in @ A @ ( powerset @ A ) ))). 39.49/5.61 thf('29', plain, 39.49/5.61 (( inPowerset ) = ( ![X4:$i]: ( in @ X4 @ ( powerset @ X4 ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(powersetE1, axiom, powersetE1 = 39.49/5.61 (![A:$i,B:$i]: ( ( in @ B @ ( powerset @ A ) ) => ( subset @ B @ A ) ))). 39.49/5.61 thf('30', plain, 39.49/5.61 (( powersetE1 ) = 39.49/5.61 ( ![X4:$i,X6:$i]: 39.49/5.61 ( ( in @ X6 @ ( powerset @ X4 ) ) => ( subset @ X6 @ X4 ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(powersetI1, axiom, powersetI1 = 39.49/5.61 (![A:$i,B:$i]: ( ( subset @ B @ A ) => ( in @ B @ ( powerset @ A ) ) ))). 39.49/5.61 thf('31', plain, 39.49/5.61 (( powersetI1 ) = 39.49/5.61 ( ![X4:$i,X6:$i]: 39.49/5.61 ( ( subset @ X6 @ X4 ) => ( in @ X6 @ ( powerset @ X4 ) ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(subsetemptysetimpeq, axiom, subsetemptysetimpeq = 39.49/5.61 (![A:$i]: ( ( subset @ A @ emptyset ) => ( ( A ) = ( emptyset ) ) ))). 39.49/5.61 thf('32', plain, 39.49/5.61 (( subsetemptysetimpeq ) = 39.49/5.61 ( ![X4:$i]: ( ( subset @ X4 @ emptyset ) => ( ( X4 ) = ( emptyset ) ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(setextsub, axiom, setextsub = 39.49/5.61 (![A:$i,B:$i]: 39.49/5.61 ( ( subset @ A @ B ) => ( ( subset @ B @ A ) => ( ( A ) = ( B ) ) ) ))). 39.49/5.61 thf('33', plain, 39.49/5.61 (( setextsub ) = 39.49/5.61 ( ![X4:$i,X6:$i]: 39.49/5.61 ( ( subset @ X4 @ X6 ) => 39.49/5.61 ( ( subset @ X6 @ X4 ) => ( ( X4 ) = ( X6 ) ) ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(subset2powerset, axiom, subset2powerset = 39.49/5.61 (![A:$i,B:$i]: ( ( subset @ A @ B ) => ( in @ A @ ( powerset @ B ) ) ))). 39.49/5.61 thf('34', plain, 39.49/5.61 (( subset2powerset ) = 39.49/5.61 ( ![X4:$i,X6:$i]: 39.49/5.61 ( ( subset @ X4 @ X6 ) => ( in @ X4 @ ( powerset @ X6 ) ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(setadjoinSub2, axiom, setadjoinSub2 = 39.49/5.61 (![A:$i,Xx:$i,B:$i]: 39.49/5.61 ( ( subset @ A @ B ) => ( subset @ A @ ( setadjoin @ Xx @ B ) ) ))). 39.49/5.61 thf('35', plain, 39.49/5.61 (( setadjoinSub2 ) = 39.49/5.61 ( ![X4:$i,X6:$i,X8:$i]: 39.49/5.61 ( ( subset @ X4 @ X8 ) => ( subset @ X4 @ ( setadjoin @ X6 @ X8 ) ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(setadjoinSub, axiom, setadjoinSub = 39.49/5.61 (![Xx:$i,A:$i]: ( subset @ A @ ( setadjoin @ Xx @ A ) ))). 39.49/5.61 thf('36', plain, 39.49/5.61 (( setadjoinSub ) = 39.49/5.61 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( setadjoin @ X4 @ X6 ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(subsetTrans, axiom, subsetTrans = 39.49/5.61 (![A:$i,B:$i,C:$i]: 39.49/5.61 ( ( subset @ A @ B ) => ( ( subset @ B @ C ) => ( subset @ A @ C ) ) ))). 39.49/5.61 thf('37', plain, 39.49/5.61 (( subsetTrans ) = 39.49/5.61 ( ![X4:$i,X6:$i,X8:$i]: 39.49/5.61 ( ( subset @ X4 @ X6 ) => 39.49/5.61 ( ( subset @ X6 @ X8 ) => ( subset @ X4 @ X8 ) ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(subsetRefl, axiom, subsetRefl = (![A:$i]: ( subset @ A @ A ))). 39.49/5.61 thf('38', plain, (( subsetRefl ) = ( ![X4:$i]: ( subset @ X4 @ X4 ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(notequalI1, axiom, notequalI1 = 39.49/5.61 (![A:$i,B:$i]: ( ( ~( subset @ A @ B ) ) => ( ( A ) != ( B ) ) ))). 39.49/5.61 thf('39', plain, 39.49/5.61 (( notequalI1 ) = 39.49/5.61 ( ![X4:$i,X6:$i]: ( ( ~( subset @ X4 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(notsubsetI, axiom, notsubsetI = 39.49/5.61 (![A:$i,B:$i,Xx:$i]: 39.49/5.61 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ~( subset @ A @ B ) ) ) ))). 39.49/5.61 thf('40', plain, 39.49/5.61 (( notsubsetI ) = 39.49/5.61 ( ![X4:$i,X6:$i,X8:$i]: 39.49/5.61 ( ( in @ X8 @ X4 ) => 39.49/5.61 ( ( ~( in @ X8 @ X6 ) ) => ( ~( subset @ X4 @ X6 ) ) ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(subsetE2, axiom, subsetE2 = 39.49/5.61 (![A:$i,B:$i,Xx:$i]: 39.49/5.61 ( ( subset @ A @ B ) => ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))). 39.49/5.61 thf('41', plain, 39.49/5.61 (( subsetE2 ) = 39.49/5.61 ( ![X4:$i,X6:$i,X8:$i]: 39.49/5.61 ( ( subset @ X4 @ X6 ) => 39.49/5.61 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(subsetE, axiom, subsetE = 39.49/5.61 (![A:$i,B:$i,Xx:$i]: 39.49/5.61 ( ( subset @ A @ B ) => ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))). 39.49/5.61 thf('42', plain, 39.49/5.61 (( subsetE ) = 39.49/5.61 ( ![X4:$i,X6:$i,X8:$i]: 39.49/5.61 ( ( subset @ X4 @ X6 ) => ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(emptysetsubset, axiom, emptysetsubset = 39.49/5.61 (![A:$i]: ( subset @ emptyset @ A ))). 39.49/5.61 thf('43', plain, 39.49/5.61 (( emptysetsubset ) = ( ![X4:$i]: ( subset @ emptyset @ X4 ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(subsetI2, axiom, subsetI2 = 39.49/5.61 (![A:$i,B:$i]: 39.49/5.61 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 39.49/5.61 ( subset @ A @ B ) ))). 39.49/5.61 thf('44', plain, 39.49/5.61 (( subsetI2 ) = 39.49/5.61 ( ![X4:$i,X6:$i]: 39.49/5.61 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 39.49/5.61 ( subset @ X4 @ X6 ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(eqimpsubset1, axiom, eqimpsubset1 = 39.49/5.61 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ A @ B ) ))). 39.49/5.61 thf('45', plain, 39.49/5.61 (( eqimpsubset1 ) = 39.49/5.61 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X4 @ X6 ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(eqimpsubset2, axiom, eqimpsubset2 = 39.49/5.61 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ B @ A ) ))). 39.49/5.61 thf('46', plain, 39.49/5.61 (( eqimpsubset2 ) = 39.49/5.61 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X6 @ X4 ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(subsetI1, axiom, subsetI1 = 39.49/5.61 (![A:$i,B:$i]: 39.49/5.61 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 39.49/5.61 ( subset @ A @ B ) ))). 39.49/5.61 thf('47', plain, 39.49/5.61 (( subsetI1 ) = 39.49/5.61 ( ![X4:$i,X6:$i]: 39.49/5.61 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 39.49/5.61 ( subset @ X4 @ X6 ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(powerset__Cong, axiom, powerset__Cong = 39.49/5.61 (![A:$i,B:$i]: 39.49/5.61 ( ( ( A ) = ( B ) ) => ( ( powerset @ A ) = ( powerset @ B ) ) ))). 39.49/5.61 thf('48', plain, 39.49/5.61 (( powerset__Cong ) = 39.49/5.61 ( ![X4:$i,X6:$i]: 39.49/5.61 ( ( ( X4 ) = ( X6 ) ) => ( ( powerset @ X4 ) = ( powerset @ X6 ) ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(powersetE, axiom, powersetE = 39.49/5.61 (![A:$i,B:$i,Xx:$i]: 39.49/5.61 ( ( in @ B @ ( powerset @ A ) ) => ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ))). 39.49/5.61 thf('49', plain, 39.49/5.61 (( powersetE ) = 39.49/5.61 ( ![X4:$i,X6:$i,X8:$i]: 39.49/5.61 ( ( in @ X6 @ ( powerset @ X4 ) ) => 39.49/5.61 ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(emptyInPowerset, axiom, emptyInPowerset = 39.49/5.61 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 39.49/5.61 thf('50', plain, 39.49/5.61 (( emptyInPowerset ) = 39.49/5.61 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(emptyinPowerset, axiom, emptyinPowerset = 39.49/5.61 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 39.49/5.61 thf('51', plain, 39.49/5.61 (( emptyinPowerset ) = 39.49/5.61 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(powersetI, axiom, powersetI = 39.49/5.61 (![A:$i,B:$i]: 39.49/5.61 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) => 39.49/5.61 ( in @ B @ ( powerset @ A ) ) ))). 39.49/5.61 thf('52', plain, 39.49/5.61 (( powersetI ) = 39.49/5.61 ( ![X4:$i,X6:$i]: 39.49/5.61 ( ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) => 39.49/5.61 ( in @ X6 @ ( powerset @ X4 ) ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(powersetAx, axiom, powersetAx = 39.49/5.61 (![A:$i,B:$i]: 39.49/5.61 ( ( in @ B @ ( powerset @ A ) ) <=> 39.49/5.61 ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) ))). 39.49/5.61 thf('53', plain, 39.49/5.61 (( powersetAx ) = 39.49/5.61 ( ![X4:$i,X6:$i]: 39.49/5.61 ( ( in @ X6 @ ( powerset @ X4 ) ) <=> 39.49/5.61 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) )), 39.49/5.61 define([status(thm)])). 39.49/5.61 thf(doubleComplementSub2, conjecture, 39.49/5.61 (( setextAx ) => 39.49/5.61 ( ( emptysetAx ) => 39.49/5.61 ( ( setadjoinAx ) => 39.49/5.61 ( ( powersetAx ) => 39.49/5.61 ( ( setunionAx ) => 39.49/5.61 ( ( omega0Ax ) => 39.49/5.61 ( ( omegaSAx ) => 39.49/5.61 ( ( omegaIndAx ) => 39.49/5.61 ( ( replAx ) => 39.49/5.61 ( ( foundationAx ) => 39.49/5.61 ( ( wellorderingAx ) => 39.49/5.61 ( ( descrp ) => 39.49/5.61 ( ( dsetconstrI ) => 39.49/5.61 ( ( dsetconstrEL ) => 39.49/5.61 ( ( dsetconstrER ) => 39.49/5.61 ( ( exuE1 ) => 39.49/5.61 ( ( prop2setE ) => 39.49/5.61 ( ( emptysetE ) => 39.49/5.61 ( ( emptysetimpfalse ) => 39.49/5.61 ( ( notinemptyset ) => 39.49/5.61 ( ( exuE3e ) => 39.49/5.61 ( ( setext ) => 39.49/5.61 ( ( emptyI ) => 39.49/5.61 ( ( noeltsimpempty ) => 39.49/5.61 ( ( setbeta ) => 39.49/5.61 ( ( nonemptyE1 ) => 39.49/5.61 ( ( nonemptyI ) => 39.49/5.61 ( ( nonemptyI1 ) => 39.49/5.61 ( ( setadjoinIL ) => 39.49/5.61 ( ( emptyinunitempty ) => 39.49/5.61 ( ( setadjoinIR ) => 39.49/5.61 ( ( setadjoinE ) => 39.49/5.61 ( ( 39.49/5.61 setadjoinOr ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setoftrueEq ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 powersetI ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 emptyinPowerset ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 emptyInPowerset ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 powersetE ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setunionI ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setunionE ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 subPowSU ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 exuE2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 nonemptyImpWitness ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 uniqinunit ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 notinsingleton ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 eqinunit ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 singletonsswitch ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 upairsetE ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 upairsetIL ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 upairsetIR ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 emptyE1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 vacuousDall ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 quantDeMorgan1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 quantDeMorgan2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 quantDeMorgan3 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 quantDeMorgan4 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 prop2setI ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 prop2set2propI ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 notdexE ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 notdallE ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 exuI1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 exuI3 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 exuI2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 inCongP ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 in__Cong ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 exuE3u ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 exu__Cong ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 emptyset__Cong ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setadjoin__Cong ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 powerset__Cong ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setunion__Cong ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 omega__Cong ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 exuEu ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 descr__Cong ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 dsetconstr__Cong ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 subsetI1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 eqimpsubset2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 eqimpsubset1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 subsetI2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 emptysetsubset ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 subsetE ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 subsetE2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 notsubsetI ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 notequalI1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 notequalI2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 subsetRefl ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 subsetTrans ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setadjoinSub ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setadjoinSub2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 subset2powerset ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setextsub ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 subsetemptysetimpeq ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 powersetI1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 powersetE1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 inPowerset ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 powersetsubset ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 sepInPowerset ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 sepSubset ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 binunionIL ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 upairset2IR ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 binunionIR ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 binunionEcases ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 binunionE ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 binunionLsub ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 binunionRsub ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 binintersectI ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 binintersectSubset5 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 binintersectEL ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 binintersectLsub ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 binintersectSubset2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 binintersectSubset3 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 binintersectER ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 disjointsetsI1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 binintersectRsub ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 binintersectSubset4 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 binintersectSubset1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 bs114d ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setminusI ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setminusEL ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setminusER ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setminusSubset2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setminusERneg ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setminusELneg ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setminusILneg ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setminusIRneg ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setminusLsub ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setminusSubset1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 symdiffE ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 symdiffI1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 symdiffI2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 symdiffIneg1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 symdiffIneg2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 secondinupair ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setukpairIL ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setukpairIR ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 kpairiskpair ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 kpairp ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 singletonsubset ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 singletoninpowerset ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 singletoninpowunion ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 upairset2E ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 upairsubunion ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 upairinpowunion ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 ubforcartprodlem1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 ubforcartprodlem2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 ubforcartprodlem3 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 cartprodpairin ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 cartprodmempair1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 cartprodmempair ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setunionE2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setunionsingleton1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setunionsingleton2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setunionsingleton ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 singletonprop ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 ex1E1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 ex1I ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 ex1I2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 singletonsuniq ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setukpairinjL1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 kfstsingleton ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 theprop ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 kfstpairEq ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 cartprodfstin ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setukpairinjL2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setukpairinjL ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setukpairinjR11 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setukpairinjR12 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setukpairinjR1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 upairequniteq ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setukpairinjR2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setukpairinjR ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 ksndsingleton ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 ksndpairEq ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 kpairsurjEq ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 cartprodsndin ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 cartprodpairmemEL ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 cartprodpairmemER ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 cartprodmempaircEq ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 cartprodfstpairEq ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 cartprodsndpairEq ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 cartprodpairsurjEq ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 dpsetconstrI ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 dpsetconstrSub ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setOfPairsIsBReln ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 dpsetconstrERa ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 dpsetconstrEL1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 dpsetconstrEL2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 dpsetconstrER ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 funcImageSingleton ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 apProp ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 app ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 infuncsetfunc ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 ap2p ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 funcinfuncset ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 lamProp ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 lamp ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 lam2p ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 brelnall1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 brelnall2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 ex1E2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 funcGraphProp1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 funcGraphProp3 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 funcGraphProp2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 funcextLem ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 funcGraphProp4 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 subbreln ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 eqbreln ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 funcext ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 funcext2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 ap2apEq1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 ap2apEq2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 beta1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 eta1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 lam2lamEq ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 beta2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 eta2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 iffalseProp1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 iffalseProp2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 iftrueProp1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 iftrueProp2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 ifSingleton ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 ifp ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 theeq ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 iftrue ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 iffalse ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 iftrueorfalse ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 binintersectT_lem ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 binunionT_lem ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 powersetT_lem ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setminusT_lem ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 complementT_lem ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setextT ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 subsetTI ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 powersetTI1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 powersetTE1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 complementTI1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 complementTE1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 binintersectTELcontra ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 binintersectTERcontra ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 contrasubsetT ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 contrasubsetT1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 contrasubsetT2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 contrasubsetT3 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 doubleComplementI1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 doubleComplementE1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 doubleComplementSub1 ) => 39.49/5.61 ( 39.49/5.61 ![ 39.49/5.61 A:$i,X:$i]: 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 in @ 39.49/5.61 X @ 39.49/5.61 ( 39.49/5.61 powerset @ 39.49/5.61 A ) ) => 39.49/5.61 ( 39.49/5.61 subset @ 39.49/5.61 ( 39.49/5.61 setminus @ 39.49/5.61 A @ 39.49/5.61 ( 39.49/5.61 setminus @ 39.49/5.61 A @ X ) ) @ 39.49/5.61 X ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 39.49/5.61 thf(zf_stmt_0, conjecture, 39.49/5.61 (( setextAx ) => 39.49/5.61 ( ( emptysetAx ) => 39.49/5.61 ( ( setadjoinAx ) => 39.49/5.61 ( ( ![X4:$i,X6:$i]: 39.49/5.61 ( ( in @ X6 @ ( powerset @ X4 ) ) <=> 39.49/5.61 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) ) => 39.49/5.61 ( ( setunionAx ) => 39.49/5.61 ( ( omega0Ax ) => 39.49/5.61 ( ( omegaSAx ) => 39.49/5.61 ( ( omegaIndAx ) => 39.49/5.61 ( ( replAx ) => 39.49/5.61 ( ( foundationAx ) => 39.49/5.61 ( ( wellorderingAx ) => 39.49/5.61 ( ( descrp ) => 39.49/5.61 ( ( dsetconstrI ) => 39.49/5.61 ( ( dsetconstrEL ) => 39.49/5.61 ( ( dsetconstrER ) => 39.49/5.61 ( ( exuE1 ) => 39.49/5.61 ( ( prop2setE ) => 39.49/5.61 ( ( emptysetE ) => 39.49/5.61 ( ( emptysetimpfalse ) => 39.49/5.61 ( ( notinemptyset ) => 39.49/5.61 ( ( exuE3e ) => 39.49/5.61 ( ( setext ) => 39.49/5.61 ( ( emptyI ) => 39.49/5.61 ( ( noeltsimpempty ) => 39.49/5.61 ( ( setbeta ) => 39.49/5.61 ( ( nonemptyE1 ) => 39.49/5.61 ( ( nonemptyI ) => 39.49/5.61 ( ( nonemptyI1 ) => 39.49/5.61 ( ( setadjoinIL ) => 39.49/5.61 ( ( emptyinunitempty ) => 39.49/5.61 ( ( setadjoinIR ) => 39.49/5.61 ( ( setadjoinE ) => 39.49/5.61 ( ( 39.49/5.61 setadjoinOr ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setoftrueEq ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 ![ 39.49/5.61 X10:$i, 39.49/5.61 X12:$i]: 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 ![ 39.49/5.61 X14:$i]: 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 in @ 39.49/5.61 X14 @ X12 ) => 39.49/5.61 ( 39.49/5.61 in @ 39.49/5.61 X14 @ X10 ) ) ) => 39.49/5.61 ( 39.49/5.61 in @ 39.49/5.61 X12 @ 39.49/5.61 ( 39.49/5.61 powerset @ 39.49/5.61 X10 ) ) ) ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 ![ 39.49/5.61 X16:$i]: 39.49/5.61 ( 39.49/5.61 in @ 39.49/5.61 emptyset @ 39.49/5.61 ( 39.49/5.61 powerset @ 39.49/5.61 X16 ) ) ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 ![ 39.49/5.61 X18:$i]: 39.49/5.61 ( 39.49/5.61 in @ 39.49/5.61 emptyset @ 39.49/5.61 ( 39.49/5.61 powerset @ 39.49/5.61 X18 ) ) ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 ![ 39.49/5.61 X20:$i, 39.49/5.61 X22:$i, 39.49/5.61 X24:$i]: 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 in @ 39.49/5.61 X22 @ 39.49/5.61 ( 39.49/5.61 powerset @ 39.49/5.61 X20 ) ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 in @ 39.49/5.61 X24 @ X22 ) => 39.49/5.61 ( 39.49/5.61 in @ 39.49/5.61 X24 @ X20 ) ) ) ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setunionI ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setunionE ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 subPowSU ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 exuE2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 nonemptyImpWitness ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 uniqinunit ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 notinsingleton ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 eqinunit ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 singletonsswitch ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 upairsetE ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 upairsetIL ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 upairsetIR ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 emptyE1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 vacuousDall ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 quantDeMorgan1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 quantDeMorgan2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 quantDeMorgan3 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 quantDeMorgan4 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 prop2setI ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 prop2set2propI ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 notdexE ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 notdallE ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 exuI1 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 exuI3 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 exuI2 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 inCongP ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 in__Cong ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 exuE3u ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 exu__Cong ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 emptyset__Cong ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setadjoin__Cong ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 ![ 39.49/5.61 X26:$i, 39.49/5.61 X28:$i]: 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 X26 ) = 39.49/5.61 ( 39.49/5.61 X28 ) ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 powerset @ 39.49/5.61 X26 ) = 39.49/5.61 ( 39.49/5.61 powerset @ 39.49/5.61 X28 ) ) ) ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 setunion__Cong ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 omega__Cong ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 exuEu ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 descr__Cong ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 dsetconstr__Cong ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 ![ 39.49/5.61 X30:$i, 39.49/5.61 X32:$i]: 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 ![ 39.49/5.61 X34:$i]: 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 in @ 39.49/5.61 X34 @ X30 ) => 39.49/5.61 ( 39.49/5.61 in @ 39.49/5.61 X34 @ X32 ) ) ) => 39.49/5.61 ( 39.49/5.61 subset @ 39.49/5.61 X30 @ X32 ) ) ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 ![ 39.49/5.61 X36:$i, 39.49/5.61 X38:$i]: 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 X36 ) = 39.49/5.61 ( 39.49/5.61 X38 ) ) => 39.49/5.61 ( 39.49/5.61 subset @ 39.49/5.61 X38 @ X36 ) ) ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 ![ 39.49/5.61 X40:$i, 39.49/5.61 X42:$i]: 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 X40 ) = 39.49/5.61 ( 39.49/5.61 X42 ) ) => 39.49/5.61 ( 39.49/5.61 subset @ 39.49/5.61 X40 @ X42 ) ) ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 ![ 39.49/5.61 X44:$i, 39.49/5.61 X46:$i]: 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 ![ 39.49/5.61 X48:$i]: 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 in @ 39.49/5.61 X48 @ X44 ) => 39.49/5.61 ( 39.49/5.61 in @ 39.49/5.61 X48 @ X46 ) ) ) => 39.49/5.61 ( 39.49/5.61 subset @ 39.49/5.61 X44 @ X46 ) ) ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 ![ 39.49/5.61 X50:$i]: 39.49/5.61 ( 39.49/5.61 subset @ 39.49/5.61 emptyset @ 39.49/5.61 X50 ) ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 ![ 39.49/5.61 X52:$i, 39.49/5.61 X54:$i, 39.49/5.61 X56:$i]: 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 subset @ 39.49/5.61 X52 @ X54 ) => 39.49/5.61 ( 39.49/5.61 ( 39.49/5.61 in @ 39.49/5.61 X56 @ X52 ) => 39.49/5.61 ( 39.49/5.61 in @ 39.49/5.61 X56 @ X54 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X58:$i, 39.75/5.61 X60:$i, 39.75/5.61 X62:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X58 @ X60 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X62 @ X60 ) ) => 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X62 @ X58 ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X64:$i, 39.75/5.61 X66:$i, 39.75/5.61 X68:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X68 @ X64 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X68 @ X66 ) ) => 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 subset @ 39.75/5.61 X64 @ X66 ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X70:$i, 39.75/5.61 X72:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 subset @ 39.75/5.61 X70 @ X72 ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 X70 ) != 39.75/5.61 ( 39.75/5.61 X72 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 notequalI2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X74:$i]: 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X74 @ X74 ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X76:$i, 39.75/5.61 X78:$i, 39.75/5.61 X80:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X76 @ X78 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X78 @ X80 ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X76 @ X80 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X82:$i, 39.75/5.61 X84:$i]: 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X84 @ 39.75/5.61 ( 39.75/5.61 setadjoin 39.75/5.61 @ 39.75/5.61 X82 @ X84 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X86:$i, 39.75/5.61 X88:$i, 39.75/5.61 X90:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X86 @ X90 ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X86 @ 39.75/5.61 ( 39.75/5.61 setadjoin 39.75/5.61 @ 39.75/5.61 X88 @ X90 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X92:$i, 39.75/5.61 X94:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X92 @ X94 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X92 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X94 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X96:$i, 39.75/5.61 X98:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X96 @ X98 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X98 @ X96 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 X96 ) = 39.75/5.61 ( 39.75/5.61 X98 ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X100:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X100 @ 39.75/5.61 emptyset ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 X100 ) = 39.75/5.61 ( 39.75/5.61 emptyset ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X102:$i, 39.75/5.61 X104:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X104 @ 39.75/5.61 X102 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X104 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X102 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X106:$i, 39.75/5.61 X108:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X108 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X106 ) ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X108 @ 39.75/5.61 X106 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X110:$i]: 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X110 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X110 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X112:$i, 39.75/5.61 X114:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X112 @ 39.75/5.61 X114 ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X112 ) @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X114 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 sepInPowerset ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 sepSubset ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binunionIL ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 upairset2IR ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binunionIR ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binunionEcases ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binunionE ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binunionLsub ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binunionRsub ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectI ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectSubset5 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectEL ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectLsub ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectSubset2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectSubset3 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectER ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 disjointsetsI1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectRsub ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectSubset4 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectSubset1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 bs114d ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X116:$i, 39.75/5.61 X118:$i, 39.75/5.61 X120:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X120 @ 39.75/5.61 X116 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X120 @ 39.75/5.61 X118 ) ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X120 @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X116 @ 39.75/5.61 X118 ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X122:$i, 39.75/5.61 X124:$i, 39.75/5.61 X126:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X126 @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X122 @ 39.75/5.61 X124 ) ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X126 @ 39.75/5.61 X122 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X128:$i, 39.75/5.61 X130:$i, 39.75/5.61 X132:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X132 @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X128 @ 39.75/5.61 X130 ) ) => 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X132 @ 39.75/5.61 X130 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X134:$i, 39.75/5.61 X136:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X134 @ 39.75/5.61 X136 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X134 @ 39.75/5.61 X136 ) = 39.75/5.61 ( 39.75/5.61 emptyset ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X138:$i, 39.75/5.61 X140:$i, 39.75/5.61 X142:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X142 @ 39.75/5.61 ( 39.75/5.61 setminus 39.75/5.61 @ 39.75/5.61 X138 @ 39.75/5.61 X140 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X142 @ 39.75/5.61 X138 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X142 @ 39.75/5.61 X140 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X144:$i, 39.75/5.61 X146:$i, 39.75/5.61 X148:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X148 @ 39.75/5.61 ( 39.75/5.61 setminus 39.75/5.61 @ 39.75/5.61 X144 @ 39.75/5.61 X146 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X148 @ 39.75/5.61 X146 ) ) => 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X148 @ 39.75/5.61 X144 ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X150:$i, 39.75/5.61 X152:$i, 39.75/5.61 X154:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X154 @ 39.75/5.61 X150 ) ) => 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X154 @ 39.75/5.61 ( 39.75/5.61 setminus 39.75/5.61 @ 39.75/5.61 X150 @ 39.75/5.61 X152 ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X156:$i, 39.75/5.61 X158:$i, 39.75/5.61 X160:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X160 @ 39.75/5.61 X158 ) => 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X160 @ 39.75/5.61 ( 39.75/5.61 setminus 39.75/5.61 @ 39.75/5.61 X156 @ 39.75/5.61 X158 ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X162:$i, 39.75/5.61 X164:$i]: 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X162 @ 39.75/5.61 X164 ) @ 39.75/5.61 X162 ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X166:$i, 39.75/5.61 X168:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X166 @ 39.75/5.61 X168 ) = 39.75/5.61 ( 39.75/5.61 emptyset ) ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X166 @ 39.75/5.61 X168 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 symdiffE ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 symdiffI1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 symdiffI2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 symdiffIneg1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 symdiffIneg2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 secondinupair ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setukpairIL ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setukpairIR ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 kpairiskpair ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 kpairp ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X170:$i, 39.75/5.61 X172:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X172 @ 39.75/5.61 X170 ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 ( 39.75/5.61 setadjoin 39.75/5.61 @ 39.75/5.61 X172 @ 39.75/5.61 emptyset ) @ 39.75/5.61 X170 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X174:$i, 39.75/5.61 X176:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X176 @ 39.75/5.61 X174 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 ( 39.75/5.61 setadjoin 39.75/5.61 @ 39.75/5.61 X176 @ 39.75/5.61 emptyset ) @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X174 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 singletoninpowunion ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 upairset2E ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 upairsubunion ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 upairinpowunion ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ubforcartprodlem1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ubforcartprodlem2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ubforcartprodlem3 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 cartprodpairin ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 cartprodmempair1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 cartprodmempair ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setunionE2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setunionsingleton1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setunionsingleton2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setunionsingleton ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 singletonprop ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ex1E1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ex1I ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ex1I2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 singletonsuniq ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setukpairinjL1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 kfstsingleton ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 theprop ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 kfstpairEq ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 cartprodfstin ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setukpairinjL2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setukpairinjL ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setukpairinjR11 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setukpairinjR12 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setukpairinjR1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 upairequniteq ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setukpairinjR2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setukpairinjR ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ksndsingleton ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ksndpairEq ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 kpairsurjEq ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 cartprodsndin ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 cartprodpairmemEL ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 cartprodpairmemER ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 cartprodmempaircEq ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 cartprodfstpairEq ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 cartprodsndpairEq ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 cartprodpairsurjEq ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 dpsetconstrI ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 dpsetconstrSub ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setOfPairsIsBReln ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 dpsetconstrERa ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 dpsetconstrEL1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 dpsetconstrEL2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 dpsetconstrER ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 funcImageSingleton ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 apProp ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 app ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 infuncsetfunc ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ap2p ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 funcinfuncset ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 lamProp ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 lamp ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 lam2p ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 brelnall1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 brelnall2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ex1E2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 funcGraphProp1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 funcGraphProp3 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 funcGraphProp2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 funcextLem ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 funcGraphProp4 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subbreln ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 eqbreln ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 funcext ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 funcext2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ap2apEq1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ap2apEq2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 beta1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 eta1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 lam2lamEq ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 beta2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 eta2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 iffalseProp1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 iffalseProp2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 iftrueProp1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 iftrueProp2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ifSingleton ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ifp ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 theeq ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 iftrue ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 iffalse ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 iftrueorfalse ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectT_lem ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binunionT_lem ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X178:$i, 39.75/5.61 X180:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X180 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X178 ) ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X180 ) @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X178 ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X182:$i, 39.75/5.61 X184:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X184 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X182 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X186:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X186 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X182 ) ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X184 @ 39.75/5.61 X186 ) @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X182 ) ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X188:$i, 39.75/5.61 X190:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X190 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X188 ) ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X188 @ 39.75/5.61 X190 ) @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X188 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X192:$i, 39.75/5.61 X194:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X194 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X192 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X196:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X196 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X192 ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X198:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X198 @ 39.75/5.61 X192 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X198 @ 39.75/5.61 X194 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X198 @ 39.75/5.61 X196 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X200:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X200 @ 39.75/5.61 X192 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X200 @ 39.75/5.61 X196 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X200 @ 39.75/5.61 X194 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 X194 ) = 39.75/5.61 ( 39.75/5.61 X196 ) ) ) ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X202:$i, 39.75/5.61 X204:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X204 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X202 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X206:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X206 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X202 ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X208:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X208 @ 39.75/5.61 X202 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X208 @ 39.75/5.61 X204 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X208 @ 39.75/5.61 X206 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X204 @ 39.75/5.61 X206 ) ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X210:$i, 39.75/5.61 X212:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X212 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X210 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X214:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X214 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X210 ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X216:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X216 @ 39.75/5.61 X210 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X216 @ 39.75/5.61 X212 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X216 @ 39.75/5.61 X214 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X212 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X214 ) ) ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X218:$i, 39.75/5.61 X220:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X220 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X218 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X222:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X222 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X218 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X224:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X224 @ 39.75/5.61 X218 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X220 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X222 ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X224 @ 39.75/5.61 X220 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X224 @ 39.75/5.61 X222 ) ) ) ) ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X226:$i, 39.75/5.61 X228:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X228 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X226 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X230:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X230 @ 39.75/5.61 X226 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X230 @ 39.75/5.61 X228 ) => 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X230 @ 39.75/5.61 ( 39.75/5.61 setminus 39.75/5.61 @ 39.75/5.61 X226 @ 39.75/5.61 X228 ) ) ) ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X232:$i, 39.75/5.61 X234:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X234 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X232 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X236:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X236 @ 39.75/5.61 X232 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X236 @ 39.75/5.61 ( 39.75/5.61 setminus 39.75/5.61 @ 39.75/5.61 X232 @ 39.75/5.61 X234 ) ) ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X236 @ 39.75/5.61 X234 ) ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectTELcontra ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectTERcontra ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X238:$i, 39.75/5.61 X240:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X240 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X238 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X242:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X242 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X238 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X244:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X244 @ 39.75/5.61 X238 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X240 @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X238 @ 39.75/5.61 X242 ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X244 @ 39.75/5.61 X242 ) => 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X244 @ 39.75/5.61 X240 ) ) ) ) ) ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X246:$i, 39.75/5.61 X248:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X248 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X246 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X250:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X250 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X246 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X252:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X252 @ 39.75/5.61 X246 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X248 @ 39.75/5.61 X250 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X252 @ 39.75/5.61 X250 ) ) => 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X252 @ 39.75/5.61 X248 ) ) ) ) ) ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X254:$i, 39.75/5.61 X256:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X256 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X254 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X258:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X258 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X254 ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X256 @ 39.75/5.61 X258 ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X254 @ 39.75/5.61 X258 ) @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X254 @ 39.75/5.61 X256 ) ) ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X260:$i, 39.75/5.61 X262:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X262 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X260 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X264:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X264 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X260 ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X260 @ 39.75/5.61 X264 ) @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X260 @ 39.75/5.61 X262 ) ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X262 @ 39.75/5.61 X264 ) ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X266:$i, 39.75/5.61 X268:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X268 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X266 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X270:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X270 @ 39.75/5.61 X266 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X270 @ 39.75/5.61 X268 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X270 @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X266 @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X266 @ 39.75/5.61 X268 ) ) ) ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X272:$i, 39.75/5.61 X274:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X274 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X272 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X276:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X276 @ 39.75/5.61 X272 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X276 @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X272 @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X272 @ 39.75/5.61 X274 ) ) ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X276 @ 39.75/5.61 X274 ) ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X278:$i, 39.75/5.61 X280:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X280 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X278 ) ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X280 @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X278 @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X278 @ 39.75/5.61 X280 ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X282:$i, 39.75/5.61 X284:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X284 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X282 ) ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X282 @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X282 @ 39.75/5.61 X284 ) ) @ 39.75/5.61 X284 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 39.75/5.61 thf(zf_stmt_1, type, zip_tseitin_0 : $i > $i > $i > $o). 39.75/5.61 thf(zf_stmt_2, axiom, 39.75/5.61 (![X8:$i,X6:$i,X4:$i]: 39.75/5.61 ( ( zip_tseitin_0 @ X8 @ X6 @ X4 ) <=> 39.75/5.61 ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ))). 39.75/5.61 thf(zf_stmt_3, conjecture, 39.75/5.61 (( setextAx ) => 39.75/5.61 ( ( emptysetAx ) => 39.75/5.61 ( ( setadjoinAx ) => 39.75/5.61 ( ( ![X4:$i,X6:$i]: 39.75/5.61 ( ( in @ X6 @ ( powerset @ X4 ) ) <=> 39.75/5.61 ( ![X8:$i]: ( zip_tseitin_0 @ X8 @ X6 @ X4 ) ) ) ) => 39.75/5.61 ( ( setunionAx ) => 39.75/5.61 ( ( omega0Ax ) => 39.75/5.61 ( ( omegaSAx ) => 39.75/5.61 ( ( omegaIndAx ) => 39.75/5.61 ( ( replAx ) => 39.75/5.61 ( ( foundationAx ) => 39.75/5.61 ( ( wellorderingAx ) => 39.75/5.61 ( ( descrp ) => 39.75/5.61 ( ( dsetconstrI ) => 39.75/5.61 ( ( dsetconstrEL ) => 39.75/5.61 ( ( dsetconstrER ) => 39.75/5.61 ( ( exuE1 ) => 39.75/5.61 ( ( prop2setE ) => 39.75/5.61 ( ( emptysetE ) => 39.75/5.61 ( ( emptysetimpfalse ) => 39.75/5.61 ( ( notinemptyset ) => 39.75/5.61 ( ( exuE3e ) => 39.75/5.61 ( ( setext ) => 39.75/5.61 ( ( emptyI ) => 39.75/5.61 ( ( noeltsimpempty ) => 39.75/5.61 ( ( setbeta ) => 39.75/5.61 ( ( nonemptyE1 ) => 39.75/5.61 ( ( nonemptyI ) => 39.75/5.61 ( ( nonemptyI1 ) => 39.75/5.61 ( ( setadjoinIL ) => 39.75/5.61 ( ( emptyinunitempty ) => 39.75/5.61 ( ( setadjoinIR ) => 39.75/5.61 ( ( setadjoinE ) => 39.75/5.61 ( ( 39.75/5.61 setadjoinOr ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setoftrueEq ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X10:$i, 39.75/5.61 X12:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X14:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X14 @ X12 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X14 @ X10 ) ) ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X12 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X10 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X16:$i]: 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 emptyset @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X16 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X18:$i]: 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 emptyset @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X18 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X20:$i, 39.75/5.61 X22:$i, 39.75/5.61 X24:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X22 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X20 ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X24 @ X22 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X24 @ X20 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setunionI ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setunionE ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subPowSU ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 exuE2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 nonemptyImpWitness ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 uniqinunit ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 notinsingleton ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 eqinunit ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 singletonsswitch ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 upairsetE ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 upairsetIL ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 upairsetIR ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 emptyE1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 vacuousDall ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 quantDeMorgan1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 quantDeMorgan2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 quantDeMorgan3 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 quantDeMorgan4 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 prop2setI ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 prop2set2propI ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 notdexE ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 notdallE ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 exuI1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 exuI3 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 exuI2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 inCongP ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in__Cong ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 exuE3u ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 exu__Cong ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 emptyset__Cong ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setadjoin__Cong ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X26:$i, 39.75/5.61 X28:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 X26 ) = 39.75/5.61 ( 39.75/5.61 X28 ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X26 ) = 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X28 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setunion__Cong ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 omega__Cong ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 exuEu ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 descr__Cong ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 dsetconstr__Cong ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X30:$i, 39.75/5.61 X32:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X34:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X34 @ X30 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X34 @ X32 ) ) ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X30 @ X32 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X36:$i, 39.75/5.61 X38:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 X36 ) = 39.75/5.61 ( 39.75/5.61 X38 ) ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X38 @ X36 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X40:$i, 39.75/5.61 X42:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 X40 ) = 39.75/5.61 ( 39.75/5.61 X42 ) ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X40 @ X42 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X44:$i, 39.75/5.61 X46:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X48:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X48 @ X44 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X48 @ X46 ) ) ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X44 @ X46 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X50:$i]: 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 emptyset @ 39.75/5.61 X50 ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X52:$i, 39.75/5.61 X54:$i, 39.75/5.61 X56:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X52 @ X54 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X56 @ X52 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X56 @ X54 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X58:$i, 39.75/5.61 X60:$i, 39.75/5.61 X62:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X58 @ X60 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X62 @ X60 ) ) => 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X62 @ X58 ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X64:$i, 39.75/5.61 X66:$i, 39.75/5.61 X68:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X68 @ X64 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X68 @ X66 ) ) => 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 subset @ 39.75/5.61 X64 @ X66 ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X70:$i, 39.75/5.61 X72:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 subset @ 39.75/5.61 X70 @ X72 ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 X70 ) != 39.75/5.61 ( 39.75/5.61 X72 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 notequalI2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X74:$i]: 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X74 @ X74 ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X76:$i, 39.75/5.61 X78:$i, 39.75/5.61 X80:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X76 @ X78 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X78 @ X80 ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X76 @ X80 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X82:$i, 39.75/5.61 X84:$i]: 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X84 @ 39.75/5.61 ( 39.75/5.61 setadjoin 39.75/5.61 @ 39.75/5.61 X82 @ X84 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X86:$i, 39.75/5.61 X88:$i, 39.75/5.61 X90:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X86 @ X90 ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X86 @ 39.75/5.61 ( 39.75/5.61 setadjoin 39.75/5.61 @ 39.75/5.61 X88 @ X90 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X92:$i, 39.75/5.61 X94:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X92 @ X94 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X92 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X94 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X96:$i, 39.75/5.61 X98:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X96 @ X98 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X98 @ X96 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 X96 ) = 39.75/5.61 ( 39.75/5.61 X98 ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X100:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X100 @ 39.75/5.61 emptyset ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 X100 ) = 39.75/5.61 ( 39.75/5.61 emptyset ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X102:$i, 39.75/5.61 X104:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X104 @ 39.75/5.61 X102 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X104 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X102 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X106:$i, 39.75/5.61 X108:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X108 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X106 ) ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X108 @ 39.75/5.61 X106 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X110:$i]: 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X110 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X110 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X112:$i, 39.75/5.61 X114:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X112 @ 39.75/5.61 X114 ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X112 ) @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X114 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 sepInPowerset ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 sepSubset ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binunionIL ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 upairset2IR ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binunionIR ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binunionEcases ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binunionE ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binunionLsub ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binunionRsub ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectI ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectSubset5 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectEL ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectLsub ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectSubset2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectSubset3 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectER ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 disjointsetsI1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectRsub ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectSubset4 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectSubset1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 bs114d ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X116:$i, 39.75/5.61 X118:$i, 39.75/5.61 X120:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X120 @ 39.75/5.61 X116 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X120 @ 39.75/5.61 X118 ) ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X120 @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X116 @ 39.75/5.61 X118 ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X122:$i, 39.75/5.61 X124:$i, 39.75/5.61 X126:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X126 @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X122 @ 39.75/5.61 X124 ) ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X126 @ 39.75/5.61 X122 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X128:$i, 39.75/5.61 X130:$i, 39.75/5.61 X132:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X132 @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X128 @ 39.75/5.61 X130 ) ) => 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X132 @ 39.75/5.61 X130 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X134:$i, 39.75/5.61 X136:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X134 @ 39.75/5.61 X136 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X134 @ 39.75/5.61 X136 ) = 39.75/5.61 ( 39.75/5.61 emptyset ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X138:$i, 39.75/5.61 X140:$i, 39.75/5.61 X142:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X142 @ 39.75/5.61 ( 39.75/5.61 setminus 39.75/5.61 @ 39.75/5.61 X138 @ 39.75/5.61 X140 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X142 @ 39.75/5.61 X138 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X142 @ 39.75/5.61 X140 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X144:$i, 39.75/5.61 X146:$i, 39.75/5.61 X148:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X148 @ 39.75/5.61 ( 39.75/5.61 setminus 39.75/5.61 @ 39.75/5.61 X144 @ 39.75/5.61 X146 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X148 @ 39.75/5.61 X146 ) ) => 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X148 @ 39.75/5.61 X144 ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X150:$i, 39.75/5.61 X152:$i, 39.75/5.61 X154:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X154 @ 39.75/5.61 X150 ) ) => 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X154 @ 39.75/5.61 ( 39.75/5.61 setminus 39.75/5.61 @ 39.75/5.61 X150 @ 39.75/5.61 X152 ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X156:$i, 39.75/5.61 X158:$i, 39.75/5.61 X160:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X160 @ 39.75/5.61 X158 ) => 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X160 @ 39.75/5.61 ( 39.75/5.61 setminus 39.75/5.61 @ 39.75/5.61 X156 @ 39.75/5.61 X158 ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X162:$i, 39.75/5.61 X164:$i]: 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X162 @ 39.75/5.61 X164 ) @ 39.75/5.61 X162 ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X166:$i, 39.75/5.61 X168:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X166 @ 39.75/5.61 X168 ) = 39.75/5.61 ( 39.75/5.61 emptyset ) ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X166 @ 39.75/5.61 X168 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 symdiffE ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 symdiffI1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 symdiffI2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 symdiffIneg1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 symdiffIneg2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 secondinupair ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setukpairIL ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setukpairIR ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 kpairiskpair ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 kpairp ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X170:$i, 39.75/5.61 X172:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X172 @ 39.75/5.61 X170 ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 ( 39.75/5.61 setadjoin 39.75/5.61 @ 39.75/5.61 X172 @ 39.75/5.61 emptyset ) @ 39.75/5.61 X170 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X174:$i, 39.75/5.61 X176:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X176 @ 39.75/5.61 X174 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 ( 39.75/5.61 setadjoin 39.75/5.61 @ 39.75/5.61 X176 @ 39.75/5.61 emptyset ) @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X174 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 singletoninpowunion ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 upairset2E ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 upairsubunion ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 upairinpowunion ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ubforcartprodlem1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ubforcartprodlem2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ubforcartprodlem3 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 cartprodpairin ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 cartprodmempair1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 cartprodmempair ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setunionE2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setunionsingleton1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setunionsingleton2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setunionsingleton ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 singletonprop ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ex1E1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ex1I ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ex1I2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 singletonsuniq ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setukpairinjL1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 kfstsingleton ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 theprop ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 kfstpairEq ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 cartprodfstin ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setukpairinjL2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setukpairinjL ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setukpairinjR11 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setukpairinjR12 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setukpairinjR1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 upairequniteq ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setukpairinjR2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setukpairinjR ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ksndsingleton ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ksndpairEq ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 kpairsurjEq ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 cartprodsndin ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 cartprodpairmemEL ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 cartprodpairmemER ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 cartprodmempaircEq ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 cartprodfstpairEq ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 cartprodsndpairEq ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 cartprodpairsurjEq ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 dpsetconstrI ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 dpsetconstrSub ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setOfPairsIsBReln ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 dpsetconstrERa ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 dpsetconstrEL1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 dpsetconstrEL2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 dpsetconstrER ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 funcImageSingleton ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 apProp ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 app ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 infuncsetfunc ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ap2p ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 funcinfuncset ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 lamProp ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 lamp ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 lam2p ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 brelnall1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 brelnall2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ex1E2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 funcGraphProp1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 funcGraphProp3 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 funcGraphProp2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 funcextLem ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 funcGraphProp4 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subbreln ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 eqbreln ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 funcext ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 funcext2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ap2apEq1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ap2apEq2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 beta1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 eta1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 lam2lamEq ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 beta2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 eta2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 iffalseProp1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 iffalseProp2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 iftrueProp1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 iftrueProp2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ifSingleton ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ifp ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 theeq ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 iftrue ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 iffalse ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 iftrueorfalse ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectT_lem ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binunionT_lem ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X178:$i, 39.75/5.61 X180:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X180 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X178 ) ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X180 ) @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X178 ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X182:$i, 39.75/5.61 X184:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X184 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X182 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X186:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X186 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X182 ) ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X184 @ 39.75/5.61 X186 ) @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X182 ) ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X188:$i, 39.75/5.61 X190:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X190 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X188 ) ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X188 @ 39.75/5.61 X190 ) @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X188 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X192:$i, 39.75/5.61 X194:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X194 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X192 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X196:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X196 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X192 ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X198:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X198 @ 39.75/5.61 X192 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X198 @ 39.75/5.61 X194 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X198 @ 39.75/5.61 X196 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X200:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X200 @ 39.75/5.61 X192 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X200 @ 39.75/5.61 X196 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X200 @ 39.75/5.61 X194 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 X194 ) = 39.75/5.61 ( 39.75/5.61 X196 ) ) ) ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X202:$i, 39.75/5.61 X204:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X204 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X202 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X206:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X206 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X202 ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X208:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X208 @ 39.75/5.61 X202 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X208 @ 39.75/5.61 X204 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X208 @ 39.75/5.61 X206 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X204 @ 39.75/5.61 X206 ) ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X210:$i, 39.75/5.61 X212:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X212 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X210 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X214:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X214 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X210 ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X216:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X216 @ 39.75/5.61 X210 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X216 @ 39.75/5.61 X212 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X216 @ 39.75/5.61 X214 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X212 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X214 ) ) ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X218:$i, 39.75/5.61 X220:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X220 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X218 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X222:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X222 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X218 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X224:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X224 @ 39.75/5.61 X218 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X220 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X222 ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X224 @ 39.75/5.61 X220 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X224 @ 39.75/5.61 X222 ) ) ) ) ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X226:$i, 39.75/5.61 X228:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X228 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X226 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X230:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X230 @ 39.75/5.61 X226 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X230 @ 39.75/5.61 X228 ) => 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X230 @ 39.75/5.61 ( 39.75/5.61 setminus 39.75/5.61 @ 39.75/5.61 X226 @ 39.75/5.61 X228 ) ) ) ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X232:$i, 39.75/5.61 X234:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X234 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X232 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X236:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X236 @ 39.75/5.61 X232 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X236 @ 39.75/5.61 ( 39.75/5.61 setminus 39.75/5.61 @ 39.75/5.61 X232 @ 39.75/5.61 X234 ) ) ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X236 @ 39.75/5.61 X234 ) ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectTELcontra ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectTERcontra ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X238:$i, 39.75/5.61 X240:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X240 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X238 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X242:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X242 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X238 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X244:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X244 @ 39.75/5.61 X238 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X240 @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X238 @ 39.75/5.61 X242 ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X244 @ 39.75/5.61 X242 ) => 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X244 @ 39.75/5.61 X240 ) ) ) ) ) ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X246:$i, 39.75/5.61 X248:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X248 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X246 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X250:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X250 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X246 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X252:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X252 @ 39.75/5.61 X246 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X248 @ 39.75/5.61 X250 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X252 @ 39.75/5.61 X250 ) ) => 39.75/5.61 ( 39.75/5.61 ~( 39.75/5.61 in @ 39.75/5.61 X252 @ 39.75/5.61 X248 ) ) ) ) ) ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X254:$i, 39.75/5.61 X256:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X256 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X254 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X258:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X258 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X254 ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X256 @ 39.75/5.61 X258 ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X254 @ 39.75/5.61 X258 ) @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X254 @ 39.75/5.61 X256 ) ) ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X260:$i, 39.75/5.61 X262:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X262 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X260 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X264:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X264 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X260 ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X260 @ 39.75/5.61 X264 ) @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X260 @ 39.75/5.61 X262 ) ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X262 @ 39.75/5.61 X264 ) ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X266:$i, 39.75/5.61 X268:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X268 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X266 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X270:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X270 @ 39.75/5.61 X266 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X270 @ 39.75/5.61 X268 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X270 @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X266 @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X266 @ 39.75/5.61 X268 ) ) ) ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X272:$i, 39.75/5.61 X274:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X274 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X272 ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X276:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X276 @ 39.75/5.61 X272 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X276 @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X272 @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X272 @ 39.75/5.61 X274 ) ) ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X276 @ 39.75/5.61 X274 ) ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X278:$i, 39.75/5.61 X280:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X280 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X278 ) ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X280 @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X278 @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X278 @ 39.75/5.61 X280 ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X282:$i, 39.75/5.61 X284:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X284 @ 39.75/5.61 ( 39.75/5.61 powerset @ 39.75/5.61 X282 ) ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X282 @ 39.75/5.61 ( 39.75/5.61 setminus @ 39.75/5.61 X282 @ 39.75/5.61 X284 ) ) @ 39.75/5.61 X284 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 39.75/5.61 thf(zf_stmt_4, negated_conjecture, 39.75/5.61 (~( ( setextAx ) => 39.75/5.61 ( ( emptysetAx ) => 39.75/5.61 ( ( setadjoinAx ) => 39.75/5.61 ( ( ![X4:$i,X6:$i]: 39.75/5.61 ( ( in @ X6 @ ( powerset @ X4 ) ) <=> 39.75/5.61 ( ![X8:$i]: ( zip_tseitin_0 @ X8 @ X6 @ X4 ) ) ) ) => 39.75/5.61 ( ( setunionAx ) => 39.75/5.61 ( ( omega0Ax ) => 39.75/5.61 ( ( omegaSAx ) => 39.75/5.61 ( ( omegaIndAx ) => 39.75/5.61 ( ( replAx ) => 39.75/5.61 ( ( foundationAx ) => 39.75/5.61 ( ( wellorderingAx ) => 39.75/5.61 ( ( descrp ) => 39.75/5.61 ( ( dsetconstrI ) => 39.75/5.61 ( ( dsetconstrEL ) => 39.75/5.61 ( ( dsetconstrER ) => 39.75/5.61 ( ( exuE1 ) => 39.75/5.61 ( ( prop2setE ) => 39.75/5.61 ( ( emptysetE ) => 39.75/5.61 ( ( emptysetimpfalse ) => 39.75/5.61 ( ( notinemptyset ) => 39.75/5.61 ( ( exuE3e ) => 39.75/5.61 ( ( setext ) => 39.75/5.61 ( ( emptyI ) => 39.75/5.61 ( ( noeltsimpempty ) => 39.75/5.61 ( ( setbeta ) => 39.75/5.61 ( ( nonemptyE1 ) => 39.75/5.61 ( ( nonemptyI ) => 39.75/5.61 ( ( nonemptyI1 ) => 39.75/5.61 ( ( setadjoinIL ) => 39.75/5.61 ( ( emptyinunitempty ) => 39.75/5.61 ( ( setadjoinIR ) => 39.75/5.61 ( ( 39.75/5.61 setadjoinE ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setadjoinOr ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setoftrueEq ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X10:$i, 39.75/5.61 X12:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X14:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X14 @ X12 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X14 @ X10 ) ) ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X12 @ 39.75/5.61 ( 39.75/5.61 powerset 39.75/5.61 @ 39.75/5.61 X10 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X16:$i]: 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 emptyset @ 39.75/5.61 ( 39.75/5.61 powerset 39.75/5.61 @ 39.75/5.61 X16 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X18:$i]: 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 emptyset @ 39.75/5.61 ( 39.75/5.61 powerset 39.75/5.61 @ 39.75/5.61 X18 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X20:$i, 39.75/5.61 X22:$i, 39.75/5.61 X24:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X22 @ 39.75/5.61 ( 39.75/5.61 powerset 39.75/5.61 @ 39.75/5.61 X20 ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X24 @ X22 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X24 @ X20 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setunionI ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setunionE ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subPowSU ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 exuE2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 nonemptyImpWitness ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 uniqinunit ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 notinsingleton ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 eqinunit ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 singletonsswitch ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 upairsetE ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 upairsetIL ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 upairsetIR ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 emptyE1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 vacuousDall ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 quantDeMorgan1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 quantDeMorgan2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 quantDeMorgan3 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 quantDeMorgan4 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 prop2setI ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 prop2set2propI ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 notdexE ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 notdallE ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 exuI1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 exuI3 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 exuI2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 inCongP ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in__Cong ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 exuE3u ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 exu__Cong ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 emptyset__Cong ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setadjoin__Cong ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X26:$i, 39.75/5.61 X28:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 X26 ) = 39.75/5.61 ( 39.75/5.61 X28 ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 powerset 39.75/5.61 @ 39.75/5.61 X26 ) = 39.75/5.61 ( 39.75/5.61 powerset 39.75/5.61 @ 39.75/5.61 X28 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setunion__Cong ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 omega__Cong ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 exuEu ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 descr__Cong ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 dsetconstr__Cong ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X30:$i, 39.75/5.61 X32:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X34:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X34 @ X30 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X34 @ X32 ) ) ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X30 @ X32 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X36:$i, 39.75/5.61 X38:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 X36 ) = 39.75/5.61 ( 39.75/5.61 X38 ) ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X38 @ X36 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X40:$i, 39.75/5.61 X42:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 X40 ) = 39.75/5.61 ( 39.75/5.61 X42 ) ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X40 @ X42 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X44:$i, 39.75/5.61 X46:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X48:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X48 @ X44 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X48 @ X46 ) ) ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X44 @ X46 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X50:$i]: 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 emptyset @ 39.75/5.61 X50 ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X52:$i, 39.75/5.61 X54:$i, 39.75/5.61 X56:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X52 @ X54 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X56 @ X52 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X56 @ X54 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X58:$i, 39.75/5.61 X60:$i, 39.75/5.61 X62:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X58 @ X60 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ~ 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X62 @ X60 ) ) => 39.75/5.61 ( 39.75/5.61 ~ 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X62 @ X58 ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X64:$i, 39.75/5.61 X66:$i, 39.75/5.61 X68:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X68 @ X64 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ~ 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X68 @ X66 ) ) => 39.75/5.61 ( 39.75/5.61 ~ 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X64 @ X66 ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X70:$i, 39.75/5.61 X72:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ~ 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X70 @ X72 ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 X70 ) != 39.75/5.61 ( 39.75/5.61 X72 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 notequalI2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X74:$i]: 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X74 @ X74 ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X76:$i, 39.75/5.61 X78:$i, 39.75/5.61 X80:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X76 @ X78 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X78 @ X80 ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X76 @ X80 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X82:$i, 39.75/5.61 X84:$i]: 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X84 @ 39.75/5.61 ( 39.75/5.61 setadjoin 39.75/5.61 @ 39.75/5.61 X82 @ X84 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X86:$i, 39.75/5.61 X88:$i, 39.75/5.61 X90:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X86 @ X90 ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X86 @ 39.75/5.61 ( 39.75/5.61 setadjoin 39.75/5.61 @ 39.75/5.61 X88 @ X90 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X92:$i, 39.75/5.61 X94:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X92 @ X94 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X92 @ 39.75/5.61 ( 39.75/5.61 powerset 39.75/5.61 @ 39.75/5.61 X94 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X96:$i, 39.75/5.61 X98:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X96 @ X98 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X98 @ X96 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 X96 ) = 39.75/5.61 ( 39.75/5.61 X98 ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X100:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X100 @ 39.75/5.61 emptyset ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 X100 ) = 39.75/5.61 ( 39.75/5.61 emptyset ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X102:$i, 39.75/5.61 X104:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X104 @ 39.75/5.61 X102 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X104 @ 39.75/5.61 ( 39.75/5.61 powerset 39.75/5.61 @ 39.75/5.61 X102 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X106:$i, 39.75/5.61 X108:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X108 @ 39.75/5.61 ( 39.75/5.61 powerset 39.75/5.61 @ 39.75/5.61 X106 ) ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X108 @ 39.75/5.61 X106 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X110:$i]: 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X110 @ 39.75/5.61 ( 39.75/5.61 powerset 39.75/5.61 @ 39.75/5.61 X110 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X112:$i, 39.75/5.61 X114:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X112 @ 39.75/5.61 X114 ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 ( 39.75/5.61 powerset 39.75/5.61 @ 39.75/5.61 X112 ) @ 39.75/5.61 ( 39.75/5.61 powerset 39.75/5.61 @ 39.75/5.61 X114 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 sepInPowerset ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 sepSubset ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binunionIL ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 upairset2IR ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binunionIR ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binunionEcases ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binunionE ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binunionLsub ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binunionRsub ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectI ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectSubset5 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectEL ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectLsub ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectSubset2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectSubset3 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectER ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 disjointsetsI1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectRsub ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectSubset4 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 binintersectSubset1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 bs114d ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X116:$i, 39.75/5.61 X118:$i, 39.75/5.61 X120:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X120 @ 39.75/5.61 X116 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ~ 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X120 @ 39.75/5.61 X118 ) ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X120 @ 39.75/5.61 ( 39.75/5.61 setminus 39.75/5.61 @ 39.75/5.61 X116 @ 39.75/5.61 X118 ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X122:$i, 39.75/5.61 X124:$i, 39.75/5.61 X126:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X126 @ 39.75/5.61 ( 39.75/5.61 setminus 39.75/5.61 @ 39.75/5.61 X122 @ 39.75/5.61 X124 ) ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X126 @ 39.75/5.61 X122 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X128:$i, 39.75/5.61 X130:$i, 39.75/5.61 X132:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X132 @ 39.75/5.61 ( 39.75/5.61 setminus 39.75/5.61 @ 39.75/5.61 X128 @ 39.75/5.61 X130 ) ) => 39.75/5.61 ( 39.75/5.61 ~ 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X132 @ 39.75/5.61 X130 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X134:$i, 39.75/5.61 X136:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X134 @ 39.75/5.61 X136 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setminus 39.75/5.61 @ 39.75/5.61 X134 @ 39.75/5.61 X136 ) = 39.75/5.61 ( 39.75/5.61 emptyset ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X138:$i, 39.75/5.61 X140:$i, 39.75/5.61 X142:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ~ 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X142 @ 39.75/5.61 ( 39.75/5.61 setminus 39.75/5.61 @ 39.75/5.61 X138 @ 39.75/5.61 X140 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X142 @ 39.75/5.61 X138 ) => 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X142 @ 39.75/5.61 X140 ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X144:$i, 39.75/5.61 X146:$i, 39.75/5.61 X148:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ~ 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X148 @ 39.75/5.61 ( 39.75/5.61 setminus 39.75/5.61 @ 39.75/5.61 X144 @ 39.75/5.61 X146 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ~ 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X148 @ 39.75/5.61 X146 ) ) => 39.75/5.61 ( 39.75/5.61 ~ 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X148 @ 39.75/5.61 X144 ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X150:$i, 39.75/5.61 X152:$i, 39.75/5.61 X154:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ~ 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X154 @ 39.75/5.61 X150 ) ) => 39.75/5.61 ( 39.75/5.61 ~ 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X154 @ 39.75/5.61 ( 39.75/5.61 setminus 39.75/5.61 @ 39.75/5.61 X150 @ 39.75/5.61 X152 ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X156:$i, 39.75/5.61 X158:$i, 39.75/5.61 X160:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X160 @ 39.75/5.61 X158 ) => 39.75/5.61 ( 39.75/5.61 ~ 39.75/5.61 ( 39.75/5.61 in @ 39.75/5.61 X160 @ 39.75/5.61 ( 39.75/5.61 setminus 39.75/5.61 @ 39.75/5.61 X156 @ 39.75/5.61 X158 ) ) ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X162:$i, 39.75/5.61 X164:$i]: 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 ( 39.75/5.61 setminus 39.75/5.61 @ 39.75/5.61 X162 @ 39.75/5.61 X164 ) @ 39.75/5.61 X162 ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ![ 39.75/5.61 X166:$i, 39.75/5.61 X168:$i]: 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 setminus 39.75/5.61 @ 39.75/5.61 X166 @ 39.75/5.61 X168 ) = 39.75/5.61 ( 39.75/5.61 emptyset ) ) => 39.75/5.61 ( 39.75/5.61 subset @ 39.75/5.61 X166 @ 39.75/5.61 X168 ) ) ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 symdiffE ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 symdiffI1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 symdiffI2 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 symdiffIneg1 ) => 39.75/5.61 ( 39.75/5.61 ( 39.75/5.61 symdiffIneg2 ) => 39.75/5.61 ( 39.75/5.62 ( 39.75/5.62 secondinupair ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 setukpairIL ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 setukpairIR ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 kpairiskpair ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 kpairp ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X170:$i, 39.75/5.62 X172:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X172 @ 39.75/5.62 X170 ) => 39.75/5.62 ( 39.75/5.62 subset @ 39.75/5.62 ( 39.75/5.62 setadjoin 39.75/5.62 @ 39.75/5.62 X172 @ 39.75/5.62 emptyset ) @ 39.75/5.62 X170 ) ) ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X174:$i, 39.75/5.62 X176:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X176 @ 39.75/5.62 X174 ) => 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 ( 39.75/5.62 setadjoin 39.75/5.62 @ 39.75/5.62 X176 @ 39.75/5.62 emptyset ) @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X174 ) ) ) ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 singletoninpowunion ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 upairset2E ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 upairsubunion ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 upairinpowunion ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ubforcartprodlem1 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ubforcartprodlem2 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ubforcartprodlem3 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 cartprodpairin ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 cartprodmempair1 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 cartprodmempair ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 setunionE2 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 setunionsingleton1 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 setunionsingleton2 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 setunionsingleton ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 singletonprop ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ex1E1 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ex1I ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ex1I2 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 singletonsuniq ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 setukpairinjL1 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 kfstsingleton ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 theprop ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 kfstpairEq ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 cartprodfstin ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 setukpairinjL2 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 setukpairinjL ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 setukpairinjR11 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 setukpairinjR12 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 setukpairinjR1 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 upairequniteq ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 setukpairinjR2 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 setukpairinjR ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ksndsingleton ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ksndpairEq ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 kpairsurjEq ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 cartprodsndin ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 cartprodpairmemEL ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 cartprodpairmemER ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 cartprodmempaircEq ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 cartprodfstpairEq ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 cartprodsndpairEq ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 cartprodpairsurjEq ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 dpsetconstrI ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 dpsetconstrSub ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 setOfPairsIsBReln ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 dpsetconstrERa ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 dpsetconstrEL1 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 dpsetconstrEL2 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 dpsetconstrER ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 funcImageSingleton ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 apProp ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 app ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 infuncsetfunc ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ap2p ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 funcinfuncset ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 lamProp ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 lamp ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 lam2p ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 brelnall1 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 brelnall2 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ex1E2 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 funcGraphProp1 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 funcGraphProp3 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 funcGraphProp2 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 funcextLem ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 funcGraphProp4 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 subbreln ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 eqbreln ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 funcext ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 funcext2 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ap2apEq1 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ap2apEq2 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 beta1 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 eta1 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 lam2lamEq ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 beta2 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 eta2 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 iffalseProp1 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 iffalseProp2 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 iftrueProp1 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 iftrueProp2 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ifSingleton ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ifp ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 theeq ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 iftrue ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 iffalse ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 iftrueorfalse ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 binintersectT_lem ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 binunionT_lem ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X178:$i, 39.75/5.62 X180:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X180 @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X178 ) ) => 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X180 ) @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X178 ) ) ) ) ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X182:$i, 39.75/5.62 X184:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X184 @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X182 ) ) => 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X186:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X186 @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X182 ) ) => 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 ( 39.75/5.62 setminus 39.75/5.62 @ 39.75/5.62 X184 @ 39.75/5.62 X186 ) @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X182 ) ) ) ) ) ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X188:$i, 39.75/5.62 X190:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X190 @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X188 ) ) => 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 ( 39.75/5.62 setminus 39.75/5.62 @ 39.75/5.62 X188 @ 39.75/5.62 X190 ) @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X188 ) ) ) ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X192:$i, 39.75/5.62 X194:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X194 @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X192 ) ) => 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X196:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X196 @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X192 ) ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X198:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X198 @ 39.75/5.62 X192 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X198 @ 39.75/5.62 X194 ) => 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X198 @ 39.75/5.62 X196 ) ) ) ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X200:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X200 @ 39.75/5.62 X192 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X200 @ 39.75/5.62 X196 ) => 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X200 @ 39.75/5.62 X194 ) ) ) ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 X194 ) = 39.75/5.62 ( 39.75/5.62 X196 ) ) ) ) ) ) ) ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X202:$i, 39.75/5.62 X204:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X204 @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X202 ) ) => 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X206:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X206 @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X202 ) ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X208:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X208 @ 39.75/5.62 X202 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X208 @ 39.75/5.62 X204 ) => 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X208 @ 39.75/5.62 X206 ) ) ) ) => 39.75/5.62 ( 39.75/5.62 subset @ 39.75/5.62 X204 @ 39.75/5.62 X206 ) ) ) ) ) ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X210:$i, 39.75/5.62 X212:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X212 @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X210 ) ) => 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X214:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X214 @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X210 ) ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X216:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X216 @ 39.75/5.62 X210 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X216 @ 39.75/5.62 X212 ) => 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X216 @ 39.75/5.62 X214 ) ) ) ) => 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X212 @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X214 ) ) ) ) ) ) ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X218:$i, 39.75/5.62 X220:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X220 @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X218 ) ) => 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X222:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X222 @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X218 ) ) => 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X224:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X224 @ 39.75/5.62 X218 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X220 @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X222 ) ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X224 @ 39.75/5.62 X220 ) => 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X224 @ 39.75/5.62 X222 ) ) ) ) ) ) ) ) ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X226:$i, 39.75/5.62 X228:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X228 @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X226 ) ) => 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X230:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X230 @ 39.75/5.62 X226 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X230 @ 39.75/5.62 X228 ) => 39.75/5.62 ( 39.75/5.62 ~ 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X230 @ 39.75/5.62 ( 39.75/5.62 setminus 39.75/5.62 @ 39.75/5.62 X226 @ 39.75/5.62 X228 ) ) ) ) ) ) ) ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X232:$i, 39.75/5.62 X234:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X234 @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X232 ) ) => 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X236:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X236 @ 39.75/5.62 X232 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ~ 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X236 @ 39.75/5.62 ( 39.75/5.62 setminus 39.75/5.62 @ 39.75/5.62 X232 @ 39.75/5.62 X234 ) ) ) => 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X236 @ 39.75/5.62 X234 ) ) ) ) ) ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 binintersectTELcontra ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 binintersectTERcontra ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X238:$i, 39.75/5.62 X240:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X240 @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X238 ) ) => 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X242:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X242 @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X238 ) ) => 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X244:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X244 @ 39.75/5.62 X238 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 subset @ 39.75/5.62 X240 @ 39.75/5.62 ( 39.75/5.62 setminus 39.75/5.62 @ 39.75/5.62 X238 @ 39.75/5.62 X242 ) ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X244 @ 39.75/5.62 X242 ) => 39.75/5.62 ( 39.75/5.62 ~ 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X244 @ 39.75/5.62 X240 ) ) ) ) ) ) ) ) ) ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X246:$i, 39.75/5.62 X248:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X248 @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X246 ) ) => 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X250:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X250 @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X246 ) ) => 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X252:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X252 @ 39.75/5.62 X246 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 subset @ 39.75/5.62 X248 @ 39.75/5.62 X250 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ~ 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X252 @ 39.75/5.62 X250 ) ) => 39.75/5.62 ( 39.75/5.62 ~ 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X252 @ 39.75/5.62 X248 ) ) ) ) ) ) ) ) ) ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X254:$i, 39.75/5.62 X256:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X256 @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X254 ) ) => 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X258:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X258 @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X254 ) ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 subset @ 39.75/5.62 X256 @ 39.75/5.62 X258 ) => 39.75/5.62 ( 39.75/5.62 subset @ 39.75/5.62 ( 39.75/5.62 setminus 39.75/5.62 @ 39.75/5.62 X254 @ 39.75/5.62 X258 ) @ 39.75/5.62 ( 39.75/5.62 setminus 39.75/5.62 @ 39.75/5.62 X254 @ 39.75/5.62 X256 ) ) ) ) ) ) ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X260:$i, 39.75/5.62 X262:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X262 @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X260 ) ) => 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X264:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X264 @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X260 ) ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 subset @ 39.75/5.62 ( 39.75/5.62 setminus 39.75/5.62 @ 39.75/5.62 X260 @ 39.75/5.62 X264 ) @ 39.75/5.62 ( 39.75/5.62 setminus 39.75/5.62 @ 39.75/5.62 X260 @ 39.75/5.62 X262 ) ) => 39.75/5.62 ( 39.75/5.62 subset @ 39.75/5.62 X262 @ 39.75/5.62 X264 ) ) ) ) ) ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X266:$i, 39.75/5.62 X268:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X268 @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X266 ) ) => 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X270:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X270 @ 39.75/5.62 X266 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X270 @ 39.75/5.62 X268 ) => 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X270 @ 39.75/5.62 ( 39.75/5.62 setminus 39.75/5.62 @ 39.75/5.62 X266 @ 39.75/5.62 ( 39.75/5.62 setminus 39.75/5.62 @ 39.75/5.62 X266 @ 39.75/5.62 X268 ) ) ) ) ) ) ) ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X272:$i, 39.75/5.62 X274:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X274 @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X272 ) ) => 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X276:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X276 @ 39.75/5.62 X272 ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X276 @ 39.75/5.62 ( 39.75/5.62 setminus 39.75/5.62 @ 39.75/5.62 X272 @ 39.75/5.62 ( 39.75/5.62 setminus 39.75/5.62 @ 39.75/5.62 X272 @ 39.75/5.62 X274 ) ) ) => 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X276 @ 39.75/5.62 X274 ) ) ) ) ) ) => 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X278:$i, 39.75/5.62 X280:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X280 @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X278 ) ) => 39.75/5.62 ( 39.75/5.62 subset @ 39.75/5.62 X280 @ 39.75/5.62 ( 39.75/5.62 setminus 39.75/5.62 @ 39.75/5.62 X278 @ 39.75/5.62 ( 39.75/5.62 setminus 39.75/5.62 @ 39.75/5.62 X278 @ 39.75/5.62 X280 ) ) ) ) ) => 39.75/5.62 ( 39.75/5.62 ![ 39.75/5.62 X282:$i, 39.75/5.62 X284:$i]: 39.75/5.62 ( 39.75/5.62 ( 39.75/5.62 in @ 39.75/5.62 X284 @ 39.75/5.62 ( 39.75/5.62 powerset 39.75/5.62 @ 39.75/5.62 X282 ) ) => 39.75/5.62 ( 39.75/5.62 subset @ 39.75/5.62 ( 39.75/5.62 setminus 39.75/5.62 @ 39.75/5.62 X282 @ 39.75/5.62 ( 39.75/5.62 setminus 39.75/5.62 @ 39.75/5.62 X282 @ 39.75/5.62 X284 ) ) @ 39.75/5.62 X284 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 39.75/5.62 inference('cnf.neg', [status(esa)], [zf_stmt_3])). 39.75/5.62 thf(zip_derived_cl131, plain, ( (in @ sk__146 @ (powerset @ sk__145))), 39.75/5.62 inference('cnf', [status(esa)], [zf_stmt_4])). 39.75/5.62 thf(zip_derived_cl130, plain, 39.75/5.62 (~ (subset @ (setminus @ sk__145 @ (setminus @ sk__145 @ sk__146)) @ 39.75/5.62 sk__146)), 39.75/5.62 inference('cnf', [status(esa)], [zf_stmt_4])). 39.75/5.62 thf(zip_derived_cl132, plain, 39.75/5.62 (![X63 : $i, X64 : $i]: 39.75/5.62 ( (subset @ X63 @ (setminus @ X64 @ (setminus @ X64 @ X63))) 39.75/5.62 | ~ (in @ X63 @ (powerset @ X64)))), 39.75/5.62 inference('cnf', [status(esa)], [zf_stmt_4])). 39.75/5.62 thf(zip_derived_cl128, plain, 39.75/5.62 (![X57 : $i, X58 : $i, X59 : $i]: 39.75/5.62 (~ (in @ X57 @ (powerset @ X58)) 39.75/5.62 | (subset @ X59 @ X57) 39.75/5.62 | ~ (subset @ (setminus @ X58 @ X57) @ (setminus @ X58 @ X59)) 39.75/5.62 | ~ (in @ X59 @ (powerset @ X58)))), 39.75/5.62 inference('cnf', [status(esa)], [zf_stmt_4])). 39.75/5.62 thf(zip_derived_cl1001, plain, 39.75/5.62 (![X0 : $i, X1 : $i]: 39.75/5.62 (~ (in @ (setminus @ X1 @ X0) @ (powerset @ X1)) 39.75/5.62 | ~ (in @ (setminus @ X1 @ (setminus @ X1 @ X0)) @ (powerset @ X1)) 39.75/5.62 | (subset @ (setminus @ X1 @ (setminus @ X1 @ X0)) @ X0) 39.75/5.62 | ~ (in @ X0 @ (powerset @ X1)))), 39.75/5.62 inference('sup-', [status(thm)], [zip_derived_cl132, zip_derived_cl128])). 39.75/5.62 thf(zip_derived_cl51, plain, 39.75/5.62 (![X21 : $i, X22 : $i]: 39.75/5.62 ( (in @ X21 @ (powerset @ X22)) | ~ (subset @ X21 @ X22))), 39.75/5.62 inference('cnf', [status(esa)], [zf_stmt_4])). 39.75/5.62 thf(zip_derived_cl202, plain, 39.75/5.62 (![X89 : $i, X90 : $i]: (subset @ (setminus @ X89 @ X90) @ X89)), 39.75/5.62 inference('cnf', [status(esa)], [zf_stmt_4])). 39.75/5.62 thf(zip_derived_cl348, plain, 39.75/5.62 (![X0 : $i, X1 : $i]: (in @ (setminus @ X0 @ X1) @ (powerset @ X0))), 39.75/5.62 inference('sup+', [status(thm)], [zip_derived_cl51, zip_derived_cl202])). 39.75/5.62 thf(zip_derived_cl348, plain, 39.75/5.62 (![X0 : $i, X1 : $i]: (in @ (setminus @ X0 @ X1) @ (powerset @ X0))), 39.75/5.62 inference('sup+', [status(thm)], [zip_derived_cl51, zip_derived_cl202])). 39.75/5.62 thf(zip_derived_cl1035, plain, 39.75/5.62 (![X0 : $i, X1 : $i]: 39.75/5.62 ( (subset @ (setminus @ X1 @ (setminus @ X1 @ X0)) @ X0) 39.75/5.62 | ~ (in @ X0 @ (powerset @ X1)))), 39.75/5.62 inference('demod', [status(thm)], 39.75/5.62 [zip_derived_cl1001, zip_derived_cl348, zip_derived_cl348])). 39.75/5.62 thf(zip_derived_cl17331, plain, ($false), 39.75/5.62 inference('eprover', [status(thm)], 39.75/5.62 [zip_derived_cl131, zip_derived_cl130, zip_derived_cl1035])). 39.75/5.62 39.75/5.62 % SZS output end Refutation 39.75/5.62 39.75/5.62 39.75/5.62 % Terminating... 39.91/5.70 % Runner terminated. 39.91/5.71 % Zipperpin 1.5 exiting 39.91/5.71 EOF