0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6zfVio5H3N true 0.14/0.36 % Computer : n024.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 1440 0.14/0.36 % WCLimit : 180 0.14/0.36 % DateTime : Mon Jul 3 09:12:53 EDT 2023 0.14/0.36 % CPUTime : 0.14/0.36 % Running portfolio for 1440 s 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.14/0.36 % Number of cores: 8 0.14/0.37 % Python version: Python 3.6.8 0.14/0.37 % Running in HO mode 0.54/0.67 % Total configuration time : 828 0.54/0.67 % Estimated wc time : 1656 0.54/0.67 % Estimated cpu time (8 cpus) : 207.0 0.54/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.54/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.54/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.54/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.54/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.54/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.55/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.55/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 73.58/9.92 % Solved by lams/40_c_ic.sh. 73.58/9.92 % done 5584 iterations in 9.117s 73.58/9.92 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 73.58/9.92 % SZS output start Refutation 73.58/9.92 thf(setadjoinAx_type, type, setadjoinAx: $o). 73.58/9.92 thf(notdexE_type, type, notdexE: $o). 73.58/9.92 thf(setukpairinjL2_type, type, setukpairinjL2: $o). 73.58/9.92 thf(setunionAx_type, type, setunionAx: $o). 73.58/9.92 thf(setminusELneg_type, type, setminusELneg: $o). 73.58/9.92 thf(cartprodsndin_type, type, cartprodsndin: $o). 73.58/9.92 thf(ex1E1_type, type, ex1E1: $o). 73.58/9.92 thf(powersetE_type, type, powersetE: $o). 73.58/9.92 thf(omegaSAx_type, type, omegaSAx: $o). 73.58/9.92 thf(exuI1_type, type, exuI1: $o). 73.58/9.92 thf(exuI2_type, type, exuI2: $o). 73.58/9.92 thf(notequalI2_type, type, notequalI2: $o). 73.58/9.92 thf(setukpairinjL_type, type, setukpairinjL: $o). 73.58/9.92 thf(sk__136_type, type, sk__136: $i). 73.58/9.92 thf(kpairiskpair_type, type, kpairiskpair: $o). 73.58/9.92 thf(upairsubunion_type, type, upairsubunion: $o). 73.58/9.92 thf(funcGraphProp3_type, type, funcGraphProp3: $o). 73.58/9.92 thf(cartprodmempaircEq_type, type, cartprodmempaircEq: $o). 73.58/9.92 thf(binintersectTERcontra_type, type, binintersectTERcontra: $o). 73.58/9.92 thf(powerset__Cong_type, type, powerset__Cong: $o). 73.58/9.92 thf(sk__135_type, type, sk__135: $i). 73.58/9.92 thf(sk__134_type, type, sk__134: $i). 73.58/9.92 thf(setminusILneg_type, type, setminusILneg: $o). 73.58/9.92 thf(wellorderingAx_type, type, wellorderingAx: $o). 73.58/9.92 thf(ksndpairEq_type, type, ksndpairEq: $o). 73.58/9.92 thf(funcGraphProp2_type, type, funcGraphProp2: $o). 73.58/9.92 thf(setadjoinSub2_type, type, setadjoinSub2: $o). 73.58/9.92 thf(binintersectSubset5_type, type, binintersectSubset5: $o). 73.58/9.92 thf(iftrue_type, type, iftrue: $o). 73.58/9.92 thf(upairinpowunion_type, type, upairinpowunion: $o). 73.58/9.92 thf(ifSingleton_type, type, ifSingleton: $o). 73.58/9.92 thf(setoftrueEq_type, type, setoftrueEq: $o). 73.58/9.92 thf(sk__130_type, type, sk__130: $i > $i > $i). 73.58/9.92 thf(funcImageSingleton_type, type, funcImageSingleton: $o). 73.58/9.92 thf(dpsetconstrERa_type, type, dpsetconstrERa: $o). 73.58/9.92 thf(lamProp_type, type, lamProp: $o). 73.58/9.92 thf(cartprodpairmemEL_type, type, cartprodpairmemEL: $o). 73.58/9.92 thf(emptyset__Cong_type, type, emptyset__Cong: $o). 73.58/9.92 thf(dpsetconstrER_type, type, dpsetconstrER: $o). 73.58/9.92 thf(sepInPowerset_type, type, sepInPowerset: $o). 73.58/9.92 thf(setukpairIR_type, type, setukpairIR: $o). 73.58/9.92 thf(setukpairinjR1_type, type, setukpairinjR1: $o). 73.58/9.92 thf(lam2p_type, type, lam2p: $o). 73.58/9.92 thf(binunionE_type, type, binunionE: $o). 73.58/9.92 thf(setext_type, type, setext: $o). 73.58/9.92 thf(emptyinPowerset_type, type, emptyinPowerset: $o). 73.58/9.92 thf(ubforcartprodlem1_type, type, ubforcartprodlem1: $o). 73.58/9.92 thf(descr__Cong_type, type, descr__Cong: $o). 73.58/9.92 thf(kfstsingleton_type, type, kfstsingleton: $o). 73.58/9.92 thf(binintersectTELcontra_type, type, binintersectTELcontra: $o). 73.58/9.92 thf(eqbreln_type, type, eqbreln: $o). 73.58/9.92 thf(binintersectSubset1_type, type, binintersectSubset1: $o). 73.58/9.92 thf(in_type, type, in: $i > $i > $o). 73.58/9.92 thf(binunionT_lem_type, type, binunionT_lem: $o). 73.58/9.92 thf(quantDeMorgan1_type, type, quantDeMorgan1: $o). 73.58/9.92 thf(complementT_lem_type, type, complementT_lem: $o). 73.58/9.92 thf(kpairsurjEq_type, type, kpairsurjEq: $o). 73.58/9.92 thf(setadjoinIR_type, type, setadjoinIR: $o). 73.58/9.92 thf(beta1_type, type, beta1: $o). 73.58/9.92 thf(setadjoin__Cong_type, type, setadjoin__Cong: $o). 73.58/9.92 thf(powersetTE1_type, type, powersetTE1: $o). 73.58/9.92 thf(symdiffI2_type, type, symdiffI2: $o). 73.58/9.92 thf(iftrueProp2_type, type, iftrueProp2: $o). 73.58/9.92 thf(upairset2IR_type, type, upairset2IR: $o). 73.58/9.92 thf(iffalseProp2_type, type, iffalseProp2: $o). 73.58/9.92 thf(subsetE_type, type, subsetE: $o). 73.58/9.92 thf(prop2set2propI_type, type, prop2set2propI: $o). 73.58/9.92 thf(dsetconstrEL_type, type, dsetconstrEL: $o). 73.58/9.92 thf(setbeta_type, type, setbeta: $o). 73.58/9.92 thf(eqinunit_type, type, eqinunit: $o). 73.58/9.92 thf(upairsetIL_type, type, upairsetIL: $o). 73.58/9.92 thf(powersetI1_type, type, powersetI1: $o). 73.58/9.92 thf(kfstpairEq_type, type, kfstpairEq: $o). 73.58/9.92 thf(binintersectSubset3_type, type, binintersectSubset3: $o). 73.58/9.92 thf(setminusIRneg_type, type, setminusIRneg: $o). 73.58/9.92 thf(ap2apEq1_type, type, ap2apEq1: $o). 73.58/9.92 thf(powersetAx_type, type, powersetAx: $o). 73.58/9.92 thf(binintersectSubset4_type, type, binintersectSubset4: $o). 73.58/9.92 thf(singletoninpowunion_type, type, singletoninpowunion: $o). 73.58/9.92 thf(powersetI_type, type, powersetI: $o). 73.58/9.92 thf(cartprodmempair_type, type, cartprodmempair: $o). 73.58/9.92 thf(upairsetIR_type, type, upairsetIR: $o). 73.58/9.92 thf(lamp_type, type, lamp: $o). 73.58/9.92 thf(dpsetconstrEL1_type, type, dpsetconstrEL1: $o). 73.58/9.92 thf(inCongP_type, type, inCongP: $o). 73.58/9.92 thf(setadjoinSub_type, type, setadjoinSub: $o). 73.58/9.92 thf(exuE3e_type, type, exuE3e: $o). 73.58/9.92 thf(emptysetE_type, type, emptysetE: $o). 73.58/9.92 thf(binintersectSubset2_type, type, binintersectSubset2: $o). 73.58/9.92 thf(setunionI_type, type, setunionI: $o). 73.58/9.92 thf(setunion__Cong_type, type, setunion__Cong: $o). 73.58/9.92 thf(prop2setI_type, type, prop2setI: $o). 73.58/9.92 thf(singletonsuniq_type, type, singletonsuniq: $o). 73.58/9.92 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o). 73.58/9.92 thf(setminusER_type, type, setminusER: $o). 73.58/9.92 thf(exuE2_type, type, exuE2: $o). 73.58/9.92 thf(emptyset_type, type, emptyset: $i). 73.58/9.92 thf(setukpairinjR11_type, type, setukpairinjR11: $o). 73.58/9.92 thf(ex1I_type, type, ex1I: $o). 73.58/9.92 thf(ex1E2_type, type, ex1E2: $o). 73.58/9.92 thf(setminus_type, type, setminus: $i > $i > $i). 73.58/9.92 thf(setukpairinjL1_type, type, setukpairinjL1: $o). 73.58/9.92 thf(powersetsubset_type, type, powersetsubset: $o). 73.58/9.92 thf(subPowSU_type, type, subPowSU: $o). 73.58/9.92 thf(notequalI1_type, type, notequalI1: $o). 73.58/9.92 thf(contrasubsetT_type, type, contrasubsetT: $o). 73.58/9.92 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o). 73.58/9.92 thf(notinemptyset_type, type, notinemptyset: $o). 73.58/9.92 thf(lam2lamEq_type, type, lam2lamEq: $o). 73.58/9.92 thf(nonemptyI1_type, type, nonemptyI1: $o). 73.58/9.92 thf(subsetTrans_type, type, subsetTrans: $o). 73.58/9.92 thf(kpairp_type, type, kpairp: $o). 73.58/9.92 thf(setukpairinjR12_type, type, setukpairinjR12: $o). 73.58/9.92 thf(setminusI_type, type, setminusI: $o). 73.58/9.92 thf(binunionIL_type, type, binunionIL: $o). 73.58/9.92 thf(dpsetconstrSub_type, type, dpsetconstrSub: $o). 73.58/9.92 thf(setunionsingleton_type, type, setunionsingleton: $o). 73.58/9.92 thf(subsetE2_type, type, subsetE2: $o). 73.58/9.92 thf(singletonsswitch_type, type, singletonsswitch: $o). 73.58/9.92 thf(ubforcartprodlem3_type, type, ubforcartprodlem3: $o). 73.58/9.92 thf(beta2_type, type, beta2: $o). 73.58/9.92 thf(dpsetconstrI_type, type, dpsetconstrI: $o). 73.58/9.92 thf(setextsub_type, type, setextsub: $o). 73.58/9.92 thf(binunionLsub_type, type, binunionLsub: $o). 73.58/9.92 thf(setunionsingleton1_type, type, setunionsingleton1: $o). 73.58/9.92 thf(iftrueorfalse_type, type, iftrueorfalse: $o). 73.58/9.92 thf(emptysetsubset_type, type, emptysetsubset: $o). 73.58/9.92 thf(quantDeMorgan3_type, type, quantDeMorgan3: $o). 73.58/9.92 thf(cartprodpairsurjEq_type, type, cartprodpairsurjEq: $o). 73.58/9.92 thf(setOfPairsIsBReln_type, type, setOfPairsIsBReln: $o). 73.58/9.92 thf(setunionE_type, type, setunionE: $o). 73.58/9.92 thf(ksndsingleton_type, type, ksndsingleton: $o). 73.58/9.92 thf(setminusSubset1_type, type, setminusSubset1: $o). 73.58/9.92 thf(powersetT_lem_type, type, powersetT_lem: $o). 73.58/9.92 thf(emptyinunitempty_type, type, emptyinunitempty: $o). 73.58/9.92 thf(binunionIR_type, type, binunionIR: $o). 73.58/9.92 thf(theeq_type, type, theeq: $o). 73.58/9.92 thf(setadjoinE_type, type, setadjoinE: $o). 73.58/9.92 thf(infuncsetfunc_type, type, infuncsetfunc: $o). 73.58/9.92 thf(ap2apEq2_type, type, ap2apEq2: $o). 73.58/9.92 thf(ap2p_type, type, ap2p: $o). 73.58/9.92 thf(setadjoinIL_type, type, setadjoinIL: $o). 73.58/9.92 thf(cartprodsndpairEq_type, type, cartprodsndpairEq: $o). 73.58/9.92 thf(exuE1_type, type, exuE1: $o). 73.58/9.92 thf(ubforcartprodlem2_type, type, ubforcartprodlem2: $o). 73.58/9.92 thf(binintersectRsub_type, type, binintersectRsub: $o). 73.58/9.92 thf(setminusLsub_type, type, setminusLsub: $o). 73.58/9.92 thf(funcextLem_type, type, funcextLem: $o). 73.58/9.92 thf(setukpairinjR_type, type, setukpairinjR: $o). 73.58/9.92 thf(notinsingleton_type, type, notinsingleton: $o). 73.58/9.92 thf(eqimpsubset2_type, type, eqimpsubset2: $o). 73.58/9.92 thf(exuEu_type, type, exuEu: $o). 73.58/9.92 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o). 73.58/9.92 thf(upairsetE_type, type, upairsetE: $o). 73.58/9.92 thf(omega0Ax_type, type, omega0Ax: $o). 73.58/9.92 thf(subsetTI_type, type, subsetTI: $o). 73.58/9.92 thf(notsubsetI_type, type, notsubsetI: $o). 73.58/9.92 thf(iffalseProp1_type, type, iffalseProp1: $o). 73.58/9.92 thf(quantDeMorgan4_type, type, quantDeMorgan4: $o). 73.58/9.92 thf(setextAx_type, type, setextAx: $o). 73.58/9.92 thf(cartprodpairmemER_type, type, cartprodpairmemER: $o). 73.58/9.92 thf(powersetE1_type, type, powersetE1: $o). 73.58/9.92 thf(bs114d_type, type, bs114d: $o). 73.58/9.92 thf(noeltsimpempty_type, type, noeltsimpempty: $o). 73.58/9.92 thf(ifp_type, type, ifp: $o). 73.58/9.92 thf(powersetTI1_type, type, powersetTI1: $o). 73.58/9.92 thf(binintersectLsub_type, type, binintersectLsub: $o). 73.58/9.92 thf(subsetI1_type, type, subsetI1: $o). 73.58/9.92 thf(symdiffE_type, type, symdiffE: $o). 73.58/9.92 thf(descrp_type, type, descrp: $o). 73.58/9.92 thf(dsetconstr__Cong_type, type, dsetconstr__Cong: $o). 73.58/9.92 thf(foundationAx_type, type, foundationAx: $o). 73.58/9.92 thf(emptysetAx_type, type, emptysetAx: $o). 73.58/9.92 thf(emptyI_type, type, emptyI: $o). 73.58/9.92 thf(setadjoinOr_type, type, setadjoinOr: $o). 73.58/9.92 thf(eta2_type, type, eta2: $o). 73.58/9.92 thf(binintersectEL_type, type, binintersectEL: $o). 73.58/9.92 thf(emptyE1_type, type, emptyE1: $o). 73.58/9.92 thf(emptyInPowerset_type, type, emptyInPowerset: $o). 73.58/9.92 thf(complementTI1_type, type, complementTI1: $o). 73.58/9.92 thf(vacuousDall_type, type, vacuousDall: $o). 73.58/9.92 thf(dsetconstrER_type, type, dsetconstrER: $o). 73.58/9.92 thf(binintersectI_type, type, binintersectI: $o). 73.58/9.92 thf(funcext_type, type, funcext: $o). 73.58/9.92 thf(funcGraphProp4_type, type, funcGraphProp4: $o). 73.58/9.92 thf(cartprodpairin_type, type, cartprodpairin: $o). 73.58/9.92 thf(cartprodmempair1_type, type, cartprodmempair1: $o). 73.58/9.92 thf(brelnall2_type, type, brelnall2: $o). 73.58/9.92 thf(setextT_type, type, setextT: $o). 73.58/9.92 thf(ex1I2_type, type, ex1I2: $o). 73.58/9.92 thf(symdiffI1_type, type, symdiffI1: $o). 73.58/9.92 thf(setukpairinjR2_type, type, setukpairinjR2: $o). 73.58/9.92 thf(dpsetconstrEL2_type, type, dpsetconstrEL2: $o). 73.58/9.93 thf(theprop_type, type, theprop: $o). 73.58/9.93 thf(subsetI2_type, type, subsetI2: $o). 73.58/9.93 thf(setminusT_lem_type, type, setminusT_lem: $o). 73.58/9.93 thf(symdiffIneg1_type, type, symdiffIneg1: $o). 73.58/9.93 thf(setminusERneg_type, type, setminusERneg: $o). 73.58/9.93 thf(symdiffIneg2_type, type, symdiffIneg2: $o). 73.58/9.93 thf(omega__Cong_type, type, omega__Cong: $o). 73.58/9.93 thf(subsetRefl_type, type, subsetRefl: $o). 73.58/9.93 thf(uniqinunit_type, type, uniqinunit: $o). 73.58/9.93 thf(setminusSubset2_type, type, setminusSubset2: $o). 73.58/9.93 thf(prop2setE_type, type, prop2setE: $o). 73.58/9.93 thf(binunionEcases_type, type, binunionEcases: $o). 73.58/9.93 thf(funcinfuncset_type, type, funcinfuncset: $o). 73.58/9.93 thf(complementTE1_type, type, complementTE1: $o). 73.58/9.93 thf(nonemptyI_type, type, nonemptyI: $o). 73.58/9.93 thf(app_type, type, app: $o). 73.58/9.93 thf(disjointsetsI1_type, type, disjointsetsI1: $o). 73.58/9.93 thf(exuE3u_type, type, exuE3u: $o). 73.58/9.93 thf(eta1_type, type, eta1: $o). 73.58/9.93 thf(setminusEL_type, type, setminusEL: $o). 73.58/9.93 thf(cartprodfstin_type, type, cartprodfstin: $o). 73.58/9.93 thf(setunionsingleton2_type, type, setunionsingleton2: $o). 73.58/9.93 thf(sepSubset_type, type, sepSubset: $o). 73.58/9.93 thf(upairset2E_type, type, upairset2E: $o). 73.58/9.93 thf(eqimpsubset1_type, type, eqimpsubset1: $o). 73.58/9.93 thf(exuI3_type, type, exuI3: $o). 73.58/9.93 thf(cartprodfstpairEq_type, type, cartprodfstpairEq: $o). 73.58/9.93 thf(apProp_type, type, apProp: $o). 73.58/9.93 thf(notdallE_type, type, notdallE: $o). 73.58/9.93 thf(iftrueProp1_type, type, iftrueProp1: $o). 73.58/9.93 thf(binintersectER_type, type, binintersectER: $o). 73.58/9.93 thf(brelnall1_type, type, brelnall1: $o). 73.58/9.93 thf(powerset_type, type, powerset: $i > $i). 73.58/9.93 thf(dsetconstrI_type, type, dsetconstrI: $o). 73.58/9.93 thf(funcGraphProp1_type, type, funcGraphProp1: $o). 73.58/9.93 thf(binintersectT_lem_type, type, binintersectT_lem: $o). 73.58/9.93 thf(setadjoin_type, type, setadjoin: $i > $i > $i). 73.58/9.93 thf(exu__Cong_type, type, exu__Cong: $o). 73.58/9.93 thf(quantDeMorgan2_type, type, quantDeMorgan2: $o). 73.58/9.93 thf(contrasubsetT2_type, type, contrasubsetT2: $o). 73.58/9.93 thf(secondinupair_type, type, secondinupair: $o). 73.58/9.93 thf(singletonprop_type, type, singletonprop: $o). 73.58/9.93 thf(singletonsubset_type, type, singletonsubset: $o). 73.58/9.93 thf(contrasubsetT1_type, type, contrasubsetT1: $o). 73.58/9.93 thf(singletoninpowerset_type, type, singletoninpowerset: $o). 73.58/9.93 thf(subsetemptysetimpeq_type, type, subsetemptysetimpeq: $o). 73.58/9.93 thf(replAx_type, type, replAx: $o). 73.58/9.93 thf(upairequniteq_type, type, upairequniteq: $o). 73.58/9.93 thf(nonemptyE1_type, type, nonemptyE1: $o). 73.58/9.93 thf(omegaIndAx_type, type, omegaIndAx: $o). 73.58/9.93 thf(setukpairIL_type, type, setukpairIL: $o). 73.58/9.93 thf(setunionE2_type, type, setunionE2: $o). 73.58/9.93 thf(inPowerset_type, type, inPowerset: $o). 73.58/9.93 thf(iffalse_type, type, iffalse: $o). 73.58/9.93 thf(funcext2_type, type, funcext2: $o). 73.58/9.93 thf(subset_type, type, subset: $i > $i > $o). 73.58/9.93 thf(subbreln_type, type, subbreln: $o). 73.58/9.93 thf(in__Cong_type, type, in__Cong: $o). 73.58/9.93 thf(binunionRsub_type, type, binunionRsub: $o). 73.58/9.93 thf(subset2powerset_type, type, subset2powerset: $o). 73.58/9.93 thf(contrasubsetT2, axiom, contrasubsetT2 = 73.58/9.93 (![A:$i,X:$i]: 73.58/9.93 ( ( in @ X @ ( powerset @ A ) ) => 73.58/9.93 ( ![Y:$i]: 73.58/9.93 ( ( in @ Y @ ( powerset @ A ) ) => 73.58/9.93 ( ( subset @ X @ Y ) => 73.58/9.93 ( subset @ ( setminus @ A @ Y ) @ ( setminus @ A @ X ) ) ) ) ) ))). 73.58/9.93 thf('0', plain, 73.58/9.93 (( contrasubsetT2 ) = 73.58/9.93 ( ![X4:$i,X6:$i]: 73.58/9.93 ( ( in @ X6 @ ( powerset @ X4 ) ) => 73.58/9.93 ( ![X8:$i]: 73.58/9.93 ( ( in @ X8 @ ( powerset @ X4 ) ) => 73.58/9.93 ( ( subset @ X6 @ X8 ) => 73.58/9.93 ( subset @ ( setminus @ X4 @ X8 ) @ ( setminus @ X4 @ X6 ) ) ) ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(contrasubsetT1, axiom, contrasubsetT1 = 73.58/9.93 (![A:$i,X:$i]: 73.58/9.93 ( ( in @ X @ ( powerset @ A ) ) => 73.58/9.93 ( ![Y:$i]: 73.58/9.93 ( ( in @ Y @ ( powerset @ A ) ) => 73.58/9.93 ( ![Xx:$i]: 73.58/9.93 ( ( in @ Xx @ A ) => 73.58/9.93 ( ( subset @ X @ Y ) => 73.58/9.93 ( ( ~( in @ Xx @ Y ) ) => ( ~( in @ Xx @ X ) ) ) ) ) ) ) ) ))). 73.58/9.93 thf('1', plain, 73.58/9.93 (( contrasubsetT1 ) = 73.58/9.93 ( ![X4:$i,X6:$i]: 73.58/9.93 ( ( in @ X6 @ ( powerset @ X4 ) ) => 73.58/9.93 ( ![X8:$i]: 73.58/9.93 ( ( in @ X8 @ ( powerset @ X4 ) ) => 73.58/9.93 ( ![X10:$i]: 73.58/9.93 ( ( in @ X10 @ X4 ) => 73.58/9.93 ( ( subset @ X6 @ X8 ) => 73.58/9.93 ( ( ~( in @ X10 @ X8 ) ) => ( ~( in @ X10 @ X6 ) ) ) ) ) ) ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(contrasubsetT, axiom, contrasubsetT = 73.58/9.93 (![A:$i,X:$i]: 73.58/9.93 ( ( in @ X @ ( powerset @ A ) ) => 73.58/9.93 ( ![Y:$i]: 73.58/9.93 ( ( in @ Y @ ( powerset @ A ) ) => 73.58/9.93 ( ![Xx:$i]: 73.58/9.93 ( ( in @ Xx @ A ) => 73.58/9.93 ( ( subset @ X @ ( setminus @ A @ Y ) ) => 73.58/9.93 ( ( in @ Xx @ Y ) => ( ~( in @ Xx @ X ) ) ) ) ) ) ) ) ))). 73.58/9.93 thf('2', plain, 73.58/9.93 (( contrasubsetT ) = 73.58/9.93 ( ![X4:$i,X6:$i]: 73.58/9.93 ( ( in @ X6 @ ( powerset @ X4 ) ) => 73.58/9.93 ( ![X8:$i]: 73.58/9.93 ( ( in @ X8 @ ( powerset @ X4 ) ) => 73.58/9.93 ( ![X10:$i]: 73.58/9.93 ( ( in @ X10 @ X4 ) => 73.58/9.93 ( ( subset @ X6 @ ( setminus @ X4 @ X8 ) ) => 73.58/9.93 ( ( in @ X10 @ X8 ) => ( ~( in @ X10 @ X6 ) ) ) ) ) ) ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(complementTE1, axiom, complementTE1 = 73.58/9.93 (![A:$i,X:$i]: 73.58/9.93 ( ( in @ X @ ( powerset @ A ) ) => 73.58/9.93 ( ![Xx:$i]: 73.58/9.93 ( ( in @ Xx @ A ) => 73.58/9.93 ( ( ~( in @ Xx @ ( setminus @ A @ X ) ) ) => ( in @ Xx @ X ) ) ) ) ))). 73.58/9.93 thf('3', plain, 73.58/9.93 (( complementTE1 ) = 73.58/9.93 ( ![X4:$i,X6:$i]: 73.58/9.93 ( ( in @ X6 @ ( powerset @ X4 ) ) => 73.58/9.93 ( ![X8:$i]: 73.58/9.93 ( ( in @ X8 @ X4 ) => 73.58/9.93 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => ( in @ X8 @ X6 ) ) ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(complementTI1, axiom, complementTI1 = 73.58/9.93 (![A:$i,X:$i]: 73.58/9.93 ( ( in @ X @ ( powerset @ A ) ) => 73.58/9.93 ( ![Xx:$i]: 73.58/9.93 ( ( in @ Xx @ A ) => 73.58/9.93 ( ( in @ Xx @ X ) => ( ~( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ))). 73.58/9.93 thf('4', plain, 73.58/9.93 (( complementTI1 ) = 73.58/9.93 ( ![X4:$i,X6:$i]: 73.58/9.93 ( ( in @ X6 @ ( powerset @ X4 ) ) => 73.58/9.93 ( ![X8:$i]: 73.58/9.93 ( ( in @ X8 @ X4 ) => 73.58/9.93 ( ( in @ X8 @ X6 ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(powersetTE1, axiom, powersetTE1 = 73.58/9.93 (![A:$i,X:$i]: 73.58/9.93 ( ( in @ X @ ( powerset @ A ) ) => 73.58/9.93 ( ![Y:$i]: 73.58/9.93 ( ( in @ Y @ ( powerset @ A ) ) => 73.58/9.93 ( ![Xx:$i]: 73.58/9.93 ( ( in @ Xx @ A ) => 73.58/9.93 ( ( in @ X @ ( powerset @ Y ) ) => 73.58/9.93 ( ( in @ Xx @ X ) => ( in @ Xx @ Y ) ) ) ) ) ) ) ))). 73.58/9.93 thf('5', plain, 73.58/9.93 (( powersetTE1 ) = 73.58/9.93 ( ![X4:$i,X6:$i]: 73.58/9.93 ( ( in @ X6 @ ( powerset @ X4 ) ) => 73.58/9.93 ( ![X8:$i]: 73.58/9.93 ( ( in @ X8 @ ( powerset @ X4 ) ) => 73.58/9.93 ( ![X10:$i]: 73.58/9.93 ( ( in @ X10 @ X4 ) => 73.58/9.93 ( ( in @ X6 @ ( powerset @ X8 ) ) => 73.58/9.93 ( ( in @ X10 @ X6 ) => ( in @ X10 @ X8 ) ) ) ) ) ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(powersetTI1, axiom, powersetTI1 = 73.58/9.93 (![A:$i,X:$i]: 73.58/9.93 ( ( in @ X @ ( powerset @ A ) ) => 73.58/9.93 ( ![Y:$i]: 73.58/9.93 ( ( in @ Y @ ( powerset @ A ) ) => 73.58/9.93 ( ( ![Xx:$i]: 73.58/9.93 ( ( in @ Xx @ A ) => ( ( in @ Xx @ X ) => ( in @ Xx @ Y ) ) ) ) => 73.58/9.93 ( in @ X @ ( powerset @ Y ) ) ) ) ) ))). 73.58/9.93 thf('6', plain, 73.58/9.93 (( powersetTI1 ) = 73.58/9.93 ( ![X4:$i,X6:$i]: 73.58/9.93 ( ( in @ X6 @ ( powerset @ X4 ) ) => 73.58/9.93 ( ![X8:$i]: 73.58/9.93 ( ( in @ X8 @ ( powerset @ X4 ) ) => 73.58/9.93 ( ( ![X10:$i]: 73.58/9.93 ( ( in @ X10 @ X4 ) => 73.58/9.93 ( ( in @ X10 @ X6 ) => ( in @ X10 @ X8 ) ) ) ) => 73.58/9.93 ( in @ X6 @ ( powerset @ X8 ) ) ) ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(subsetTI, axiom, subsetTI = 73.58/9.93 (![A:$i,X:$i]: 73.58/9.93 ( ( in @ X @ ( powerset @ A ) ) => 73.58/9.93 ( ![Y:$i]: 73.58/9.93 ( ( in @ Y @ ( powerset @ A ) ) => 73.58/9.93 ( ( ![Xx:$i]: 73.58/9.93 ( ( in @ Xx @ A ) => ( ( in @ Xx @ X ) => ( in @ Xx @ Y ) ) ) ) => 73.58/9.93 ( subset @ X @ Y ) ) ) ) ))). 73.58/9.93 thf('7', plain, 73.58/9.93 (( subsetTI ) = 73.58/9.93 ( ![X4:$i,X6:$i]: 73.58/9.93 ( ( in @ X6 @ ( powerset @ X4 ) ) => 73.58/9.93 ( ![X8:$i]: 73.58/9.93 ( ( in @ X8 @ ( powerset @ X4 ) ) => 73.58/9.93 ( ( ![X10:$i]: 73.58/9.93 ( ( in @ X10 @ X4 ) => 73.58/9.93 ( ( in @ X10 @ X6 ) => ( in @ X10 @ X8 ) ) ) ) => 73.58/9.93 ( subset @ X6 @ X8 ) ) ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(setextT, axiom, setextT = 73.58/9.93 (![A:$i,X:$i]: 73.58/9.93 ( ( in @ X @ ( powerset @ A ) ) => 73.58/9.93 ( ![Y:$i]: 73.58/9.93 ( ( in @ Y @ ( powerset @ A ) ) => 73.58/9.93 ( ( ![Xx:$i]: 73.58/9.93 ( ( in @ Xx @ A ) => ( ( in @ Xx @ X ) => ( in @ Xx @ Y ) ) ) ) => 73.58/9.93 ( ( ![Xx:$i]: 73.58/9.93 ( ( in @ Xx @ A ) => ( ( in @ Xx @ Y ) => ( in @ Xx @ X ) ) ) ) => 73.58/9.93 ( ( X ) = ( Y ) ) ) ) ) ) ))). 73.58/9.93 thf('8', plain, 73.58/9.93 (( setextT ) = 73.58/9.93 ( ![X4:$i,X6:$i]: 73.58/9.93 ( ( in @ X6 @ ( powerset @ X4 ) ) => 73.58/9.93 ( ![X8:$i]: 73.58/9.93 ( ( in @ X8 @ ( powerset @ X4 ) ) => 73.58/9.93 ( ( ![X10:$i]: 73.58/9.93 ( ( in @ X10 @ X4 ) => 73.58/9.93 ( ( in @ X10 @ X6 ) => ( in @ X10 @ X8 ) ) ) ) => 73.58/9.93 ( ( ![X12:$i]: 73.58/9.93 ( ( in @ X12 @ X4 ) => 73.58/9.93 ( ( in @ X12 @ X8 ) => ( in @ X12 @ X6 ) ) ) ) => 73.58/9.93 ( ( X6 ) = ( X8 ) ) ) ) ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(complementT_lem, axiom, complementT_lem = 73.58/9.93 (![A:$i,X:$i]: 73.58/9.93 ( ( in @ X @ ( powerset @ A ) ) => 73.58/9.93 ( in @ ( setminus @ A @ X ) @ ( powerset @ A ) ) ))). 73.58/9.93 thf('9', plain, 73.58/9.93 (( complementT_lem ) = 73.58/9.93 ( ![X4:$i,X6:$i]: 73.58/9.93 ( ( in @ X6 @ ( powerset @ X4 ) ) => 73.58/9.93 ( in @ ( setminus @ X4 @ X6 ) @ ( powerset @ X4 ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(setminusT_lem, axiom, setminusT_lem = 73.58/9.93 (![A:$i,X:$i]: 73.58/9.93 ( ( in @ X @ ( powerset @ A ) ) => 73.58/9.93 ( ![Y:$i]: 73.58/9.93 ( ( in @ Y @ ( powerset @ A ) ) => 73.58/9.93 ( in @ ( setminus @ X @ Y ) @ ( powerset @ A ) ) ) ) ))). 73.58/9.93 thf('10', plain, 73.58/9.93 (( setminusT_lem ) = 73.58/9.93 ( ![X4:$i,X6:$i]: 73.58/9.93 ( ( in @ X6 @ ( powerset @ X4 ) ) => 73.58/9.93 ( ![X8:$i]: 73.58/9.93 ( ( in @ X8 @ ( powerset @ X4 ) ) => 73.58/9.93 ( in @ ( setminus @ X6 @ X8 ) @ ( powerset @ X4 ) ) ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(powersetT_lem, axiom, powersetT_lem = 73.58/9.93 (![A:$i,X:$i]: 73.58/9.93 ( ( in @ X @ ( powerset @ A ) ) => 73.58/9.93 ( in @ ( powerset @ X ) @ ( powerset @ ( powerset @ A ) ) ) ))). 73.58/9.93 thf('11', plain, 73.58/9.93 (( powersetT_lem ) = 73.58/9.93 ( ![X4:$i,X6:$i]: 73.58/9.93 ( ( in @ X6 @ ( powerset @ X4 ) ) => 73.58/9.93 ( in @ ( powerset @ X6 ) @ ( powerset @ ( powerset @ X4 ) ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(singletoninpowerset, axiom, singletoninpowerset = 73.58/9.93 (![A:$i,Xx:$i]: 73.58/9.93 ( ( in @ Xx @ A ) => 73.58/9.93 ( in @ ( setadjoin @ Xx @ emptyset ) @ ( powerset @ A ) ) ))). 73.58/9.93 thf('12', plain, 73.58/9.93 (( singletoninpowerset ) = 73.58/9.93 ( ![X4:$i,X6:$i]: 73.58/9.93 ( ( in @ X6 @ X4 ) => 73.58/9.93 ( in @ ( setadjoin @ X6 @ emptyset ) @ ( powerset @ X4 ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(singletonsubset, axiom, singletonsubset = 73.58/9.93 (![A:$i,Xx:$i]: 73.58/9.93 ( ( in @ Xx @ A ) => ( subset @ ( setadjoin @ Xx @ emptyset ) @ A ) ))). 73.58/9.93 thf('13', plain, 73.58/9.93 (( singletonsubset ) = 73.58/9.93 ( ![X4:$i,X6:$i]: 73.58/9.93 ( ( in @ X6 @ X4 ) => ( subset @ ( setadjoin @ X6 @ emptyset ) @ X4 ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(setminusSubset1, axiom, setminusSubset1 = 73.58/9.93 (![A:$i,B:$i]: 73.58/9.93 ( ( ( setminus @ A @ B ) = ( emptyset ) ) => ( subset @ A @ B ) ))). 73.58/9.93 thf('14', plain, 73.58/9.93 (( setminusSubset1 ) = 73.58/9.93 ( ![X4:$i,X6:$i]: 73.58/9.93 ( ( ( setminus @ X4 @ X6 ) = ( emptyset ) ) => ( subset @ X4 @ X6 ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(setminusLsub, axiom, setminusLsub = 73.58/9.93 (![A:$i,B:$i]: ( subset @ ( setminus @ A @ B ) @ A ))). 73.58/9.93 thf('15', plain, 73.58/9.93 (( setminusLsub ) = 73.58/9.93 ( ![X4:$i,X6:$i]: ( subset @ ( setminus @ X4 @ X6 ) @ X4 ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(setminusIRneg, axiom, setminusIRneg = 73.58/9.93 (![A:$i,B:$i,Xx:$i]: 73.58/9.93 ( ( in @ Xx @ B ) => ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 73.58/9.93 thf('16', plain, 73.58/9.93 (( setminusIRneg ) = 73.58/9.93 ( ![X4:$i,X6:$i,X8:$i]: 73.58/9.93 ( ( in @ X8 @ X6 ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(setminusILneg, axiom, setminusILneg = 73.58/9.93 (![A:$i,B:$i,Xx:$i]: 73.58/9.93 ( ( ~( in @ Xx @ A ) ) => ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 73.58/9.93 thf('17', plain, 73.58/9.93 (( setminusILneg ) = 73.58/9.93 ( ![X4:$i,X6:$i,X8:$i]: 73.58/9.93 ( ( ~( in @ X8 @ X4 ) ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(setminusELneg, axiom, setminusELneg = 73.58/9.93 (![A:$i,B:$i,Xx:$i]: 73.58/9.93 ( ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) => 73.58/9.93 ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))). 73.58/9.93 thf('18', plain, 73.58/9.93 (( setminusELneg ) = 73.58/9.93 ( ![X4:$i,X6:$i,X8:$i]: 73.58/9.93 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => 73.58/9.93 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(setminusERneg, axiom, setminusERneg = 73.58/9.93 (![A:$i,B:$i,Xx:$i]: 73.58/9.93 ( ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) => 73.58/9.93 ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))). 73.58/9.93 thf('19', plain, 73.58/9.93 (( setminusERneg ) = 73.58/9.93 ( ![X4:$i,X6:$i,X8:$i]: 73.58/9.93 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => 73.58/9.93 ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(setminusSubset2, axiom, setminusSubset2 = 73.58/9.93 (![A:$i,B:$i]: 73.58/9.93 ( ( subset @ A @ B ) => ( ( setminus @ A @ B ) = ( emptyset ) ) ))). 73.58/9.93 thf('20', plain, 73.58/9.93 (( setminusSubset2 ) = 73.58/9.93 ( ![X4:$i,X6:$i]: 73.58/9.93 ( ( subset @ X4 @ X6 ) => ( ( setminus @ X4 @ X6 ) = ( emptyset ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(setminusER, axiom, setminusER = 73.58/9.93 (![A:$i,B:$i,Xx:$i]: 73.58/9.93 ( ( in @ Xx @ ( setminus @ A @ B ) ) => ( ~( in @ Xx @ B ) ) ))). 73.58/9.93 thf('21', plain, 73.58/9.93 (( setminusER ) = 73.58/9.93 ( ![X4:$i,X6:$i,X8:$i]: 73.58/9.93 ( ( in @ X8 @ ( setminus @ X4 @ X6 ) ) => ( ~( in @ X8 @ X6 ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(setminusEL, axiom, setminusEL = 73.58/9.93 (![A:$i,B:$i,Xx:$i]: 73.58/9.93 ( ( in @ Xx @ ( setminus @ A @ B ) ) => ( in @ Xx @ A ) ))). 73.58/9.93 thf('22', plain, 73.58/9.93 (( setminusEL ) = 73.58/9.93 ( ![X4:$i,X6:$i,X8:$i]: 73.58/9.93 ( ( in @ X8 @ ( setminus @ X4 @ X6 ) ) => ( in @ X8 @ X4 ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(setminusI, axiom, setminusI = 73.58/9.93 (![A:$i,B:$i,Xx:$i]: 73.58/9.93 ( ( in @ Xx @ A ) => 73.58/9.93 ( ( ~( in @ Xx @ B ) ) => ( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 73.58/9.93 thf('23', plain, 73.58/9.93 (( setminusI ) = 73.58/9.93 ( ![X4:$i,X6:$i,X8:$i]: 73.58/9.93 ( ( in @ X8 @ X4 ) => 73.58/9.93 ( ( ~( in @ X8 @ X6 ) ) => ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(powersetsubset, axiom, powersetsubset = 73.58/9.93 (![A:$i,B:$i]: 73.58/9.93 ( ( subset @ A @ B ) => ( subset @ ( powerset @ A ) @ ( powerset @ B ) ) ))). 73.58/9.93 thf('24', plain, 73.58/9.93 (( powersetsubset ) = 73.58/9.93 ( ![X4:$i,X6:$i]: 73.58/9.93 ( ( subset @ X4 @ X6 ) => 73.58/9.93 ( subset @ ( powerset @ X4 ) @ ( powerset @ X6 ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(inPowerset, axiom, inPowerset = (![A:$i]: ( in @ A @ ( powerset @ A ) ))). 73.58/9.93 thf('25', plain, 73.58/9.93 (( inPowerset ) = ( ![X4:$i]: ( in @ X4 @ ( powerset @ X4 ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(powersetE1, axiom, powersetE1 = 73.58/9.93 (![A:$i,B:$i]: ( ( in @ B @ ( powerset @ A ) ) => ( subset @ B @ A ) ))). 73.58/9.93 thf('26', plain, 73.58/9.93 (( powersetE1 ) = 73.58/9.93 ( ![X4:$i,X6:$i]: 73.58/9.93 ( ( in @ X6 @ ( powerset @ X4 ) ) => ( subset @ X6 @ X4 ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(powersetI1, axiom, powersetI1 = 73.58/9.93 (![A:$i,B:$i]: ( ( subset @ B @ A ) => ( in @ B @ ( powerset @ A ) ) ))). 73.58/9.93 thf('27', plain, 73.58/9.93 (( powersetI1 ) = 73.58/9.93 ( ![X4:$i,X6:$i]: 73.58/9.93 ( ( subset @ X6 @ X4 ) => ( in @ X6 @ ( powerset @ X4 ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(subsetemptysetimpeq, axiom, subsetemptysetimpeq = 73.58/9.93 (![A:$i]: ( ( subset @ A @ emptyset ) => ( ( A ) = ( emptyset ) ) ))). 73.58/9.93 thf('28', plain, 73.58/9.93 (( subsetemptysetimpeq ) = 73.58/9.93 ( ![X4:$i]: ( ( subset @ X4 @ emptyset ) => ( ( X4 ) = ( emptyset ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(setextsub, axiom, setextsub = 73.58/9.93 (![A:$i,B:$i]: 73.58/9.93 ( ( subset @ A @ B ) => ( ( subset @ B @ A ) => ( ( A ) = ( B ) ) ) ))). 73.58/9.93 thf('29', plain, 73.58/9.93 (( setextsub ) = 73.58/9.93 ( ![X4:$i,X6:$i]: 73.58/9.93 ( ( subset @ X4 @ X6 ) => 73.58/9.93 ( ( subset @ X6 @ X4 ) => ( ( X4 ) = ( X6 ) ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(subset2powerset, axiom, subset2powerset = 73.58/9.93 (![A:$i,B:$i]: ( ( subset @ A @ B ) => ( in @ A @ ( powerset @ B ) ) ))). 73.58/9.93 thf('30', plain, 73.58/9.93 (( subset2powerset ) = 73.58/9.93 ( ![X4:$i,X6:$i]: 73.58/9.93 ( ( subset @ X4 @ X6 ) => ( in @ X4 @ ( powerset @ X6 ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(setadjoinSub2, axiom, setadjoinSub2 = 73.58/9.93 (![A:$i,Xx:$i,B:$i]: 73.58/9.93 ( ( subset @ A @ B ) => ( subset @ A @ ( setadjoin @ Xx @ B ) ) ))). 73.58/9.93 thf('31', plain, 73.58/9.93 (( setadjoinSub2 ) = 73.58/9.93 ( ![X4:$i,X6:$i,X8:$i]: 73.58/9.93 ( ( subset @ X4 @ X8 ) => ( subset @ X4 @ ( setadjoin @ X6 @ X8 ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(setadjoinSub, axiom, setadjoinSub = 73.58/9.93 (![Xx:$i,A:$i]: ( subset @ A @ ( setadjoin @ Xx @ A ) ))). 73.58/9.93 thf('32', plain, 73.58/9.93 (( setadjoinSub ) = 73.58/9.93 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( setadjoin @ X4 @ X6 ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(subsetTrans, axiom, subsetTrans = 73.58/9.93 (![A:$i,B:$i,C:$i]: 73.58/9.93 ( ( subset @ A @ B ) => ( ( subset @ B @ C ) => ( subset @ A @ C ) ) ))). 73.58/9.93 thf('33', plain, 73.58/9.93 (( subsetTrans ) = 73.58/9.93 ( ![X4:$i,X6:$i,X8:$i]: 73.58/9.93 ( ( subset @ X4 @ X6 ) => 73.58/9.93 ( ( subset @ X6 @ X8 ) => ( subset @ X4 @ X8 ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(subsetRefl, axiom, subsetRefl = (![A:$i]: ( subset @ A @ A ))). 73.58/9.93 thf('34', plain, (( subsetRefl ) = ( ![X4:$i]: ( subset @ X4 @ X4 ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(notequalI1, axiom, notequalI1 = 73.58/9.93 (![A:$i,B:$i]: ( ( ~( subset @ A @ B ) ) => ( ( A ) != ( B ) ) ))). 73.58/9.93 thf('35', plain, 73.58/9.93 (( notequalI1 ) = 73.58/9.93 ( ![X4:$i,X6:$i]: ( ( ~( subset @ X4 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(notsubsetI, axiom, notsubsetI = 73.58/9.93 (![A:$i,B:$i,Xx:$i]: 73.58/9.93 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ~( subset @ A @ B ) ) ) ))). 73.58/9.93 thf('36', plain, 73.58/9.93 (( notsubsetI ) = 73.58/9.93 ( ![X4:$i,X6:$i,X8:$i]: 73.58/9.93 ( ( in @ X8 @ X4 ) => 73.58/9.93 ( ( ~( in @ X8 @ X6 ) ) => ( ~( subset @ X4 @ X6 ) ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(subsetE2, axiom, subsetE2 = 73.58/9.93 (![A:$i,B:$i,Xx:$i]: 73.58/9.93 ( ( subset @ A @ B ) => ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))). 73.58/9.93 thf('37', plain, 73.58/9.93 (( subsetE2 ) = 73.58/9.93 ( ![X4:$i,X6:$i,X8:$i]: 73.58/9.93 ( ( subset @ X4 @ X6 ) => 73.58/9.93 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(subsetE, axiom, subsetE = 73.58/9.93 (![A:$i,B:$i,Xx:$i]: 73.58/9.93 ( ( subset @ A @ B ) => ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))). 73.58/9.93 thf('38', plain, 73.58/9.93 (( subsetE ) = 73.58/9.93 ( ![X4:$i,X6:$i,X8:$i]: 73.58/9.93 ( ( subset @ X4 @ X6 ) => ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(emptysetsubset, axiom, emptysetsubset = 73.58/9.93 (![A:$i]: ( subset @ emptyset @ A ))). 73.58/9.93 thf('39', plain, 73.58/9.93 (( emptysetsubset ) = ( ![X4:$i]: ( subset @ emptyset @ X4 ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(subsetI2, axiom, subsetI2 = 73.58/9.93 (![A:$i,B:$i]: 73.58/9.93 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 73.58/9.93 ( subset @ A @ B ) ))). 73.58/9.93 thf('40', plain, 73.58/9.93 (( subsetI2 ) = 73.58/9.93 ( ![X4:$i,X6:$i]: 73.58/9.93 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 73.58/9.93 ( subset @ X4 @ X6 ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(eqimpsubset1, axiom, eqimpsubset1 = 73.58/9.93 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ A @ B ) ))). 73.58/9.93 thf('41', plain, 73.58/9.93 (( eqimpsubset1 ) = 73.58/9.93 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X4 @ X6 ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(eqimpsubset2, axiom, eqimpsubset2 = 73.58/9.93 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ B @ A ) ))). 73.58/9.93 thf('42', plain, 73.58/9.93 (( eqimpsubset2 ) = 73.58/9.93 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X6 @ X4 ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(subsetI1, axiom, subsetI1 = 73.58/9.93 (![A:$i,B:$i]: 73.58/9.93 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 73.58/9.93 ( subset @ A @ B ) ))). 73.58/9.93 thf('43', plain, 73.58/9.93 (( subsetI1 ) = 73.58/9.93 ( ![X4:$i,X6:$i]: 73.58/9.93 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 73.58/9.93 ( subset @ X4 @ X6 ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(powerset__Cong, axiom, powerset__Cong = 73.58/9.93 (![A:$i,B:$i]: 73.58/9.93 ( ( ( A ) = ( B ) ) => ( ( powerset @ A ) = ( powerset @ B ) ) ))). 73.58/9.93 thf('44', plain, 73.58/9.93 (( powerset__Cong ) = 73.58/9.93 ( ![X4:$i,X6:$i]: 73.58/9.93 ( ( ( X4 ) = ( X6 ) ) => ( ( powerset @ X4 ) = ( powerset @ X6 ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(powersetE, axiom, powersetE = 73.58/9.93 (![A:$i,B:$i,Xx:$i]: 73.58/9.93 ( ( in @ B @ ( powerset @ A ) ) => ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ))). 73.58/9.93 thf('45', plain, 73.58/9.93 (( powersetE ) = 73.58/9.93 ( ![X4:$i,X6:$i,X8:$i]: 73.58/9.93 ( ( in @ X6 @ ( powerset @ X4 ) ) => 73.58/9.93 ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(emptyInPowerset, axiom, emptyInPowerset = 73.58/9.93 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 73.58/9.93 thf('46', plain, 73.58/9.93 (( emptyInPowerset ) = 73.58/9.93 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(emptyinPowerset, axiom, emptyinPowerset = 73.58/9.93 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 73.58/9.93 thf('47', plain, 73.58/9.93 (( emptyinPowerset ) = 73.58/9.93 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(powersetI, axiom, powersetI = 73.58/9.93 (![A:$i,B:$i]: 73.58/9.93 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) => 73.58/9.93 ( in @ B @ ( powerset @ A ) ) ))). 73.58/9.93 thf('48', plain, 73.58/9.93 (( powersetI ) = 73.58/9.93 ( ![X4:$i,X6:$i]: 73.58/9.93 ( ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) => 73.58/9.93 ( in @ X6 @ ( powerset @ X4 ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(powersetAx, axiom, powersetAx = 73.58/9.93 (![A:$i,B:$i]: 73.58/9.93 ( ( in @ B @ ( powerset @ A ) ) <=> 73.58/9.93 ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) ))). 73.58/9.93 thf('49', plain, 73.58/9.93 (( powersetAx ) = 73.58/9.93 ( ![X4:$i,X6:$i]: 73.58/9.93 ( ( in @ X6 @ ( powerset @ X4 ) ) <=> 73.58/9.93 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) )), 73.58/9.93 define([status(thm)])). 73.58/9.93 thf(contrasubsetT3, conjecture, 73.58/9.93 (( setextAx ) => 73.58/9.93 ( ( emptysetAx ) => 73.58/9.93 ( ( setadjoinAx ) => 73.58/9.93 ( ( powersetAx ) => 73.58/9.93 ( ( setunionAx ) => 73.58/9.93 ( ( omega0Ax ) => 73.58/9.93 ( ( omegaSAx ) => 73.58/9.93 ( ( omegaIndAx ) => 73.58/9.93 ( ( replAx ) => 73.58/9.93 ( ( foundationAx ) => 73.58/9.93 ( ( wellorderingAx ) => 73.58/9.93 ( ( descrp ) => 73.58/9.93 ( ( dsetconstrI ) => 73.58/9.93 ( ( dsetconstrEL ) => 73.58/9.93 ( ( dsetconstrER ) => 73.58/9.93 ( ( exuE1 ) => 73.58/9.93 ( ( prop2setE ) => 73.58/9.93 ( ( emptysetE ) => 73.58/9.93 ( ( emptysetimpfalse ) => 73.58/9.93 ( ( notinemptyset ) => 73.58/9.93 ( ( exuE3e ) => 73.58/9.93 ( ( setext ) => 73.58/9.93 ( ( emptyI ) => 73.58/9.93 ( ( noeltsimpempty ) => 73.58/9.93 ( ( setbeta ) => 73.58/9.93 ( ( nonemptyE1 ) => 73.58/9.93 ( ( nonemptyI ) => 73.58/9.93 ( ( nonemptyI1 ) => 73.58/9.93 ( ( setadjoinIL ) => 73.58/9.93 ( ( emptyinunitempty ) => 73.58/9.93 ( ( setadjoinIR ) => 73.58/9.93 ( ( setadjoinE ) => 73.58/9.93 ( ( 73.58/9.93 setadjoinOr ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setoftrueEq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 powersetI ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 emptyinPowerset ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 emptyInPowerset ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 powersetE ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setunionI ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setunionE ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subPowSU ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 exuE2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 nonemptyImpWitness ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 uniqinunit ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 notinsingleton ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 eqinunit ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 singletonsswitch ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairsetE ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairsetIL ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairsetIR ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 emptyE1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 vacuousDall ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 quantDeMorgan1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 quantDeMorgan2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 quantDeMorgan3 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 quantDeMorgan4 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 prop2setI ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 prop2set2propI ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 notdexE ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 notdallE ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 exuI1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 exuI3 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 exuI2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 inCongP ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 exuE3u ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 exu__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 emptyset__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setadjoin__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 powerset__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setunion__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 omega__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 exuEu ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 descr__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 dsetconstr__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subsetI1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 eqimpsubset2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 eqimpsubset1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subsetI2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 emptysetsubset ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subsetE ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subsetE2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 notsubsetI ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 notequalI1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 notequalI2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subsetRefl ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subsetTrans ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setadjoinSub ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setadjoinSub2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset2powerset ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setextsub ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subsetemptysetimpeq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 powersetI1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 powersetE1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 inPowerset ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 powersetsubset ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 sepInPowerset ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 sepSubset ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binunionIL ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairset2IR ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binunionIR ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binunionEcases ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binunionE ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binunionLsub ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binunionRsub ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectI ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectSubset5 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectEL ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectLsub ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectSubset2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectSubset3 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectER ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 disjointsetsI1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectRsub ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectSubset4 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectSubset1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 bs114d ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setminusI ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setminusEL ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setminusER ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setminusSubset2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setminusERneg ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setminusELneg ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setminusILneg ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setminusIRneg ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setminusLsub ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setminusSubset1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 symdiffE ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 symdiffI1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 symdiffI2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 symdiffIneg1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 symdiffIneg2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 secondinupair ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairIL ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairIR ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 kpairiskpair ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 kpairp ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 singletonsubset ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 singletoninpowerset ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 singletoninpowunion ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairset2E ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairsubunion ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairinpowunion ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ubforcartprodlem1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ubforcartprodlem2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ubforcartprodlem3 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodpairin ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodmempair1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodmempair ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setunionE2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setunionsingleton1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setunionsingleton2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setunionsingleton ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 singletonprop ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ex1E1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ex1I ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ex1I2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 singletonsuniq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjL1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 kfstsingleton ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 theprop ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 kfstpairEq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodfstin ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjL2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjL ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjR11 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjR12 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjR1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairequniteq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjR2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjR ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ksndsingleton ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ksndpairEq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 kpairsurjEq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodsndin ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodpairmemEL ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodpairmemER ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodmempaircEq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodfstpairEq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodsndpairEq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodpairsurjEq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 dpsetconstrI ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 dpsetconstrSub ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setOfPairsIsBReln ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 dpsetconstrERa ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 dpsetconstrEL1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 dpsetconstrEL2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 dpsetconstrER ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 funcImageSingleton ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 apProp ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 app ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 infuncsetfunc ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ap2p ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 funcinfuncset ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 lamProp ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 lamp ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 lam2p ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 brelnall1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 brelnall2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ex1E2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 funcGraphProp1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 funcGraphProp3 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 funcGraphProp2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 funcextLem ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 funcGraphProp4 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subbreln ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 eqbreln ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 funcext ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 funcext2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ap2apEq1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ap2apEq2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 beta1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 eta1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 lam2lamEq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 beta2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 eta2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 iffalseProp1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 iffalseProp2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 iftrueProp1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 iftrueProp2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ifSingleton ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ifp ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 theeq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 iftrue ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 iffalse ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 iftrueorfalse ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectT_lem ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binunionT_lem ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 powersetT_lem ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setminusT_lem ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 complementT_lem ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setextT ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subsetTI ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 powersetTI1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 powersetTE1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 complementTI1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 complementTE1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectTELcontra ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectTERcontra ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 contrasubsetT ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 contrasubsetT1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 contrasubsetT2 ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 A:$i,X:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 A ) ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 Y:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 Y @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 A ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 ( 73.58/9.93 setminus @ 73.58/9.93 A @ Y ) @ 73.58/9.93 ( 73.58/9.93 setminus @ 73.58/9.93 A @ X ) ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X @ Y ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 73.58/9.93 thf(zf_stmt_0, conjecture, 73.58/9.93 (( setextAx ) => 73.58/9.93 ( ( emptysetAx ) => 73.58/9.93 ( ( setadjoinAx ) => 73.58/9.93 ( ( ![X4:$i,X6:$i]: 73.58/9.93 ( ( in @ X6 @ ( powerset @ X4 ) ) <=> 73.58/9.93 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) ) => 73.58/9.93 ( ( setunionAx ) => 73.58/9.93 ( ( omega0Ax ) => 73.58/9.93 ( ( omegaSAx ) => 73.58/9.93 ( ( omegaIndAx ) => 73.58/9.93 ( ( replAx ) => 73.58/9.93 ( ( foundationAx ) => 73.58/9.93 ( ( wellorderingAx ) => 73.58/9.93 ( ( descrp ) => 73.58/9.93 ( ( dsetconstrI ) => 73.58/9.93 ( ( dsetconstrEL ) => 73.58/9.93 ( ( dsetconstrER ) => 73.58/9.93 ( ( exuE1 ) => 73.58/9.93 ( ( prop2setE ) => 73.58/9.93 ( ( emptysetE ) => 73.58/9.93 ( ( emptysetimpfalse ) => 73.58/9.93 ( ( notinemptyset ) => 73.58/9.93 ( ( exuE3e ) => 73.58/9.93 ( ( setext ) => 73.58/9.93 ( ( emptyI ) => 73.58/9.93 ( ( noeltsimpempty ) => 73.58/9.93 ( ( setbeta ) => 73.58/9.93 ( ( nonemptyE1 ) => 73.58/9.93 ( ( nonemptyI ) => 73.58/9.93 ( ( nonemptyI1 ) => 73.58/9.93 ( ( setadjoinIL ) => 73.58/9.93 ( ( emptyinunitempty ) => 73.58/9.93 ( ( setadjoinIR ) => 73.58/9.93 ( ( setadjoinE ) => 73.58/9.93 ( ( 73.58/9.93 setadjoinOr ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setoftrueEq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X10:$i, 73.58/9.93 X12:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X14:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X14 @ X12 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X14 @ X10 ) ) ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X12 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X10 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X16:$i]: 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 emptyset @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X16 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X18:$i]: 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 emptyset @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X18 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X20:$i, 73.58/9.93 X22:$i, 73.58/9.93 X24:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X22 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X20 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X24 @ X22 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X24 @ X20 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setunionI ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setunionE ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subPowSU ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 exuE2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 nonemptyImpWitness ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 uniqinunit ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 notinsingleton ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 eqinunit ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 singletonsswitch ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairsetE ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairsetIL ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairsetIR ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 emptyE1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 vacuousDall ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 quantDeMorgan1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 quantDeMorgan2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 quantDeMorgan3 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 quantDeMorgan4 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 prop2setI ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 prop2set2propI ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 notdexE ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 notdallE ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 exuI1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 exuI3 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 exuI2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 inCongP ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 exuE3u ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 exu__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 emptyset__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setadjoin__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X26:$i, 73.58/9.93 X28:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 X26 ) = 73.58/9.93 ( 73.58/9.93 X28 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X26 ) = 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X28 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setunion__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 omega__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 exuEu ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 descr__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 dsetconstr__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X30:$i, 73.58/9.93 X32:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X34:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X34 @ X30 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X34 @ X32 ) ) ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X30 @ X32 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X36:$i, 73.58/9.93 X38:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 X36 ) = 73.58/9.93 ( 73.58/9.93 X38 ) ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X38 @ X36 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X40:$i, 73.58/9.93 X42:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 X40 ) = 73.58/9.93 ( 73.58/9.93 X42 ) ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X40 @ X42 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X44:$i, 73.58/9.93 X46:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X48:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X48 @ X44 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X48 @ X46 ) ) ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X44 @ X46 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X50:$i]: 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 emptyset @ 73.58/9.93 X50 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X52:$i, 73.58/9.93 X54:$i, 73.58/9.93 X56:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X52 @ X54 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X56 @ X52 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X56 @ X54 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X58:$i, 73.58/9.93 X60:$i, 73.58/9.93 X62:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X58 @ X60 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X62 @ X60 ) ) => 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X62 @ X58 ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X64:$i, 73.58/9.93 X66:$i, 73.58/9.93 X68:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X68 @ X64 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X68 @ X66 ) ) => 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 subset @ 73.58/9.93 X64 @ X66 ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X70:$i, 73.58/9.93 X72:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 subset @ 73.58/9.93 X70 @ X72 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 X70 ) != 73.58/9.93 ( 73.58/9.93 X72 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 notequalI2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X74:$i]: 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X74 @ X74 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X76:$i, 73.58/9.93 X78:$i, 73.58/9.93 X80:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X76 @ X78 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X78 @ X80 ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X76 @ X80 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X82:$i, 73.58/9.93 X84:$i]: 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X84 @ 73.58/9.93 ( 73.58/9.93 setadjoin 73.58/9.93 @ 73.58/9.93 X82 @ X84 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X86:$i, 73.58/9.93 X88:$i, 73.58/9.93 X90:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X86 @ X90 ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X86 @ 73.58/9.93 ( 73.58/9.93 setadjoin 73.58/9.93 @ 73.58/9.93 X88 @ X90 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X92:$i, 73.58/9.93 X94:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X92 @ X94 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X92 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X94 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X96:$i, 73.58/9.93 X98:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X96 @ X98 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X98 @ X96 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 X96 ) = 73.58/9.93 ( 73.58/9.93 X98 ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X100:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X100 @ 73.58/9.93 emptyset ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 X100 ) = 73.58/9.93 ( 73.58/9.93 emptyset ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X102:$i, 73.58/9.93 X104:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X104 @ 73.58/9.93 X102 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X104 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X102 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X106:$i, 73.58/9.93 X108:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X108 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X106 ) ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X108 @ 73.58/9.93 X106 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X110:$i]: 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X110 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X110 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X112:$i, 73.58/9.93 X114:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X112 @ 73.58/9.93 X114 ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X112 ) @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X114 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 sepInPowerset ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 sepSubset ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binunionIL ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairset2IR ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binunionIR ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binunionEcases ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binunionE ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binunionLsub ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binunionRsub ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectI ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectSubset5 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectEL ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectLsub ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectSubset2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectSubset3 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectER ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 disjointsetsI1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectRsub ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectSubset4 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectSubset1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 bs114d ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X116:$i, 73.58/9.93 X118:$i, 73.58/9.93 X120:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X120 @ 73.58/9.93 X116 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X120 @ 73.58/9.93 X118 ) ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X120 @ 73.58/9.93 ( 73.58/9.93 setminus @ 73.58/9.93 X116 @ 73.58/9.93 X118 ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X122:$i, 73.58/9.93 X124:$i, 73.58/9.93 X126:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X126 @ 73.58/9.93 ( 73.58/9.93 setminus @ 73.58/9.93 X122 @ 73.58/9.93 X124 ) ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X126 @ 73.58/9.93 X122 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X128:$i, 73.58/9.93 X130:$i, 73.58/9.93 X132:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X132 @ 73.58/9.93 ( 73.58/9.93 setminus @ 73.58/9.93 X128 @ 73.58/9.93 X130 ) ) => 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X132 @ 73.58/9.93 X130 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X134:$i, 73.58/9.93 X136:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X134 @ 73.58/9.93 X136 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setminus @ 73.58/9.93 X134 @ 73.58/9.93 X136 ) = 73.58/9.93 ( 73.58/9.93 emptyset ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X138:$i, 73.58/9.93 X140:$i, 73.58/9.93 X142:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X142 @ 73.58/9.93 ( 73.58/9.93 setminus 73.58/9.93 @ 73.58/9.93 X138 @ 73.58/9.93 X140 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X142 @ 73.58/9.93 X138 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X142 @ 73.58/9.93 X140 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X144:$i, 73.58/9.93 X146:$i, 73.58/9.93 X148:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X148 @ 73.58/9.93 ( 73.58/9.93 setminus 73.58/9.93 @ 73.58/9.93 X144 @ 73.58/9.93 X146 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X148 @ 73.58/9.93 X146 ) ) => 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X148 @ 73.58/9.93 X144 ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X150:$i, 73.58/9.93 X152:$i, 73.58/9.93 X154:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X154 @ 73.58/9.93 X150 ) ) => 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X154 @ 73.58/9.93 ( 73.58/9.93 setminus 73.58/9.93 @ 73.58/9.93 X150 @ 73.58/9.93 X152 ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X156:$i, 73.58/9.93 X158:$i, 73.58/9.93 X160:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X160 @ 73.58/9.93 X158 ) => 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X160 @ 73.58/9.93 ( 73.58/9.93 setminus 73.58/9.93 @ 73.58/9.93 X156 @ 73.58/9.93 X158 ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X162:$i, 73.58/9.93 X164:$i]: 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 ( 73.58/9.93 setminus @ 73.58/9.93 X162 @ 73.58/9.93 X164 ) @ 73.58/9.93 X162 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X166:$i, 73.58/9.93 X168:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setminus @ 73.58/9.93 X166 @ 73.58/9.93 X168 ) = 73.58/9.93 ( 73.58/9.93 emptyset ) ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X166 @ 73.58/9.93 X168 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 symdiffE ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 symdiffI1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 symdiffI2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 symdiffIneg1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 symdiffIneg2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 secondinupair ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairIL ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairIR ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 kpairiskpair ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 kpairp ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X170:$i, 73.58/9.93 X172:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X172 @ 73.58/9.93 X170 ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 ( 73.58/9.93 setadjoin 73.58/9.93 @ 73.58/9.93 X172 @ 73.58/9.93 emptyset ) @ 73.58/9.93 X170 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X174:$i, 73.58/9.93 X176:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X176 @ 73.58/9.93 X174 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 ( 73.58/9.93 setadjoin 73.58/9.93 @ 73.58/9.93 X176 @ 73.58/9.93 emptyset ) @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X174 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 singletoninpowunion ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairset2E ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairsubunion ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairinpowunion ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ubforcartprodlem1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ubforcartprodlem2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ubforcartprodlem3 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodpairin ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodmempair1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodmempair ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setunionE2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setunionsingleton1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setunionsingleton2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setunionsingleton ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 singletonprop ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ex1E1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ex1I ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ex1I2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 singletonsuniq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjL1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 kfstsingleton ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 theprop ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 kfstpairEq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodfstin ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjL2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjL ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjR11 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjR12 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjR1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairequniteq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjR2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjR ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ksndsingleton ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ksndpairEq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 kpairsurjEq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodsndin ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodpairmemEL ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodpairmemER ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodmempaircEq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodfstpairEq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodsndpairEq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodpairsurjEq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 dpsetconstrI ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 dpsetconstrSub ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setOfPairsIsBReln ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 dpsetconstrERa ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 dpsetconstrEL1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 dpsetconstrEL2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 dpsetconstrER ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 funcImageSingleton ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 apProp ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 app ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 infuncsetfunc ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ap2p ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 funcinfuncset ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 lamProp ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 lamp ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 lam2p ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 brelnall1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 brelnall2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ex1E2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 funcGraphProp1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 funcGraphProp3 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 funcGraphProp2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 funcextLem ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 funcGraphProp4 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subbreln ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 eqbreln ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 funcext ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 funcext2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ap2apEq1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ap2apEq2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 beta1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 eta1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 lam2lamEq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 beta2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 eta2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 iffalseProp1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 iffalseProp2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 iftrueProp1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 iftrueProp2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ifSingleton ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ifp ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 theeq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 iftrue ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 iffalse ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 iftrueorfalse ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectT_lem ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binunionT_lem ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X178:$i, 73.58/9.93 X180:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X180 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X178 ) ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X180 ) @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X178 ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X182:$i, 73.58/9.93 X184:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X184 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X182 ) ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X186:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X186 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X182 ) ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 ( 73.58/9.93 setminus @ 73.58/9.93 X184 @ 73.58/9.93 X186 ) @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X182 ) ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X188:$i, 73.58/9.93 X190:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X190 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X188 ) ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 ( 73.58/9.93 setminus @ 73.58/9.93 X188 @ 73.58/9.93 X190 ) @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X188 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X192:$i, 73.58/9.93 X194:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X194 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X192 ) ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X196:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X196 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X192 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X198:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X198 @ 73.58/9.93 X192 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X198 @ 73.58/9.93 X194 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X198 @ 73.58/9.93 X196 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X200:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X200 @ 73.58/9.93 X192 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X200 @ 73.58/9.93 X196 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X200 @ 73.58/9.93 X194 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 X194 ) = 73.58/9.93 ( 73.58/9.93 X196 ) ) ) ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X202:$i, 73.58/9.93 X204:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X204 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X202 ) ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X206:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X206 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X202 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X208:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X208 @ 73.58/9.93 X202 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X208 @ 73.58/9.93 X204 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X208 @ 73.58/9.93 X206 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X204 @ 73.58/9.93 X206 ) ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X210:$i, 73.58/9.93 X212:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X212 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X210 ) ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X214:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X214 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X210 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X216:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X216 @ 73.58/9.93 X210 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X216 @ 73.58/9.93 X212 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X216 @ 73.58/9.93 X214 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X212 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X214 ) ) ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X218:$i, 73.58/9.93 X220:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X220 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X218 ) ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X222:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X222 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X218 ) ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X224:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X224 @ 73.58/9.93 X218 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X220 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X222 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X224 @ 73.58/9.93 X220 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X224 @ 73.58/9.93 X222 ) ) ) ) ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X226:$i, 73.58/9.93 X228:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X228 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X226 ) ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X230:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X230 @ 73.58/9.93 X226 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X230 @ 73.58/9.93 X228 ) => 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X230 @ 73.58/9.93 ( 73.58/9.93 setminus 73.58/9.93 @ 73.58/9.93 X226 @ 73.58/9.93 X228 ) ) ) ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X232:$i, 73.58/9.93 X234:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X234 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X232 ) ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X236:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X236 @ 73.58/9.93 X232 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X236 @ 73.58/9.93 ( 73.58/9.93 setminus 73.58/9.93 @ 73.58/9.93 X232 @ 73.58/9.93 X234 ) ) ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X236 @ 73.58/9.93 X234 ) ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectTELcontra ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectTERcontra ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X238:$i, 73.58/9.93 X240:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X240 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X238 ) ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X242:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X242 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X238 ) ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X244:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X244 @ 73.58/9.93 X238 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X240 @ 73.58/9.93 ( 73.58/9.93 setminus @ 73.58/9.93 X238 @ 73.58/9.93 X242 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X244 @ 73.58/9.93 X242 ) => 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X244 @ 73.58/9.93 X240 ) ) ) ) ) ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X246:$i, 73.58/9.93 X248:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X248 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X246 ) ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X250:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X250 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X246 ) ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X252:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X252 @ 73.58/9.93 X246 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X248 @ 73.58/9.93 X250 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X252 @ 73.58/9.93 X250 ) ) => 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X252 @ 73.58/9.93 X248 ) ) ) ) ) ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X254:$i, 73.58/9.93 X256:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X256 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X254 ) ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X258:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X258 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X254 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X256 @ 73.58/9.93 X258 ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 ( 73.58/9.93 setminus @ 73.58/9.93 X254 @ 73.58/9.93 X258 ) @ 73.58/9.93 ( 73.58/9.93 setminus @ 73.58/9.93 X254 @ 73.58/9.93 X256 ) ) ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X260:$i, 73.58/9.93 X262:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X262 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X260 ) ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X264:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X264 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X260 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 ( 73.58/9.93 setminus @ 73.58/9.93 X260 @ 73.58/9.93 X264 ) @ 73.58/9.93 ( 73.58/9.93 setminus @ 73.58/9.93 X260 @ 73.58/9.93 X262 ) ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X262 @ 73.58/9.93 X264 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 73.58/9.93 thf(zf_stmt_1, type, zip_tseitin_0 : $i > $i > $i > $o). 73.58/9.93 thf(zf_stmt_2, axiom, 73.58/9.93 (![X8:$i,X6:$i,X4:$i]: 73.58/9.93 ( ( zip_tseitin_0 @ X8 @ X6 @ X4 ) <=> 73.58/9.93 ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ))). 73.58/9.93 thf(zf_stmt_3, conjecture, 73.58/9.93 (( setextAx ) => 73.58/9.93 ( ( emptysetAx ) => 73.58/9.93 ( ( setadjoinAx ) => 73.58/9.93 ( ( ![X4:$i,X6:$i]: 73.58/9.93 ( ( in @ X6 @ ( powerset @ X4 ) ) <=> 73.58/9.93 ( ![X8:$i]: ( zip_tseitin_0 @ X8 @ X6 @ X4 ) ) ) ) => 73.58/9.93 ( ( setunionAx ) => 73.58/9.93 ( ( omega0Ax ) => 73.58/9.93 ( ( omegaSAx ) => 73.58/9.93 ( ( omegaIndAx ) => 73.58/9.93 ( ( replAx ) => 73.58/9.93 ( ( foundationAx ) => 73.58/9.93 ( ( wellorderingAx ) => 73.58/9.93 ( ( descrp ) => 73.58/9.93 ( ( dsetconstrI ) => 73.58/9.93 ( ( dsetconstrEL ) => 73.58/9.93 ( ( dsetconstrER ) => 73.58/9.93 ( ( exuE1 ) => 73.58/9.93 ( ( prop2setE ) => 73.58/9.93 ( ( emptysetE ) => 73.58/9.93 ( ( emptysetimpfalse ) => 73.58/9.93 ( ( notinemptyset ) => 73.58/9.93 ( ( exuE3e ) => 73.58/9.93 ( ( setext ) => 73.58/9.93 ( ( emptyI ) => 73.58/9.93 ( ( noeltsimpempty ) => 73.58/9.93 ( ( setbeta ) => 73.58/9.93 ( ( nonemptyE1 ) => 73.58/9.93 ( ( nonemptyI ) => 73.58/9.93 ( ( nonemptyI1 ) => 73.58/9.93 ( ( setadjoinIL ) => 73.58/9.93 ( ( emptyinunitempty ) => 73.58/9.93 ( ( setadjoinIR ) => 73.58/9.93 ( ( setadjoinE ) => 73.58/9.93 ( ( 73.58/9.93 setadjoinOr ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setoftrueEq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X10:$i, 73.58/9.93 X12:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X14:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X14 @ X12 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X14 @ X10 ) ) ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X12 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X10 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X16:$i]: 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 emptyset @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X16 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X18:$i]: 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 emptyset @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X18 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X20:$i, 73.58/9.93 X22:$i, 73.58/9.93 X24:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X22 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X20 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X24 @ X22 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X24 @ X20 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setunionI ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setunionE ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subPowSU ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 exuE2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 nonemptyImpWitness ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 uniqinunit ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 notinsingleton ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 eqinunit ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 singletonsswitch ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairsetE ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairsetIL ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairsetIR ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 emptyE1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 vacuousDall ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 quantDeMorgan1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 quantDeMorgan2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 quantDeMorgan3 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 quantDeMorgan4 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 prop2setI ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 prop2set2propI ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 notdexE ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 notdallE ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 exuI1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 exuI3 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 exuI2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 inCongP ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 exuE3u ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 exu__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 emptyset__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setadjoin__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X26:$i, 73.58/9.93 X28:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 X26 ) = 73.58/9.93 ( 73.58/9.93 X28 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X26 ) = 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X28 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setunion__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 omega__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 exuEu ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 descr__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 dsetconstr__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X30:$i, 73.58/9.93 X32:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X34:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X34 @ X30 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X34 @ X32 ) ) ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X30 @ X32 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X36:$i, 73.58/9.93 X38:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 X36 ) = 73.58/9.93 ( 73.58/9.93 X38 ) ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X38 @ X36 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X40:$i, 73.58/9.93 X42:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 X40 ) = 73.58/9.93 ( 73.58/9.93 X42 ) ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X40 @ X42 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X44:$i, 73.58/9.93 X46:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X48:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X48 @ X44 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X48 @ X46 ) ) ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X44 @ X46 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X50:$i]: 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 emptyset @ 73.58/9.93 X50 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X52:$i, 73.58/9.93 X54:$i, 73.58/9.93 X56:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X52 @ X54 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X56 @ X52 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X56 @ X54 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X58:$i, 73.58/9.93 X60:$i, 73.58/9.93 X62:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X58 @ X60 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X62 @ X60 ) ) => 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X62 @ X58 ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X64:$i, 73.58/9.93 X66:$i, 73.58/9.93 X68:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X68 @ X64 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X68 @ X66 ) ) => 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 subset @ 73.58/9.93 X64 @ X66 ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X70:$i, 73.58/9.93 X72:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 subset @ 73.58/9.93 X70 @ X72 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 X70 ) != 73.58/9.93 ( 73.58/9.93 X72 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 notequalI2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X74:$i]: 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X74 @ X74 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X76:$i, 73.58/9.93 X78:$i, 73.58/9.93 X80:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X76 @ X78 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X78 @ X80 ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X76 @ X80 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X82:$i, 73.58/9.93 X84:$i]: 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X84 @ 73.58/9.93 ( 73.58/9.93 setadjoin 73.58/9.93 @ 73.58/9.93 X82 @ X84 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X86:$i, 73.58/9.93 X88:$i, 73.58/9.93 X90:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X86 @ X90 ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X86 @ 73.58/9.93 ( 73.58/9.93 setadjoin 73.58/9.93 @ 73.58/9.93 X88 @ X90 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X92:$i, 73.58/9.93 X94:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X92 @ X94 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X92 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X94 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X96:$i, 73.58/9.93 X98:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X96 @ X98 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X98 @ X96 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 X96 ) = 73.58/9.93 ( 73.58/9.93 X98 ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X100:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X100 @ 73.58/9.93 emptyset ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 X100 ) = 73.58/9.93 ( 73.58/9.93 emptyset ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X102:$i, 73.58/9.93 X104:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X104 @ 73.58/9.93 X102 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X104 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X102 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X106:$i, 73.58/9.93 X108:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X108 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X106 ) ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X108 @ 73.58/9.93 X106 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X110:$i]: 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X110 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X110 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X112:$i, 73.58/9.93 X114:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X112 @ 73.58/9.93 X114 ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X112 ) @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X114 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 sepInPowerset ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 sepSubset ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binunionIL ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairset2IR ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binunionIR ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binunionEcases ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binunionE ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binunionLsub ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binunionRsub ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectI ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectSubset5 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectEL ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectLsub ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectSubset2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectSubset3 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectER ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 disjointsetsI1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectRsub ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectSubset4 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectSubset1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 bs114d ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X116:$i, 73.58/9.93 X118:$i, 73.58/9.93 X120:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X120 @ 73.58/9.93 X116 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X120 @ 73.58/9.93 X118 ) ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X120 @ 73.58/9.93 ( 73.58/9.93 setminus @ 73.58/9.93 X116 @ 73.58/9.93 X118 ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X122:$i, 73.58/9.93 X124:$i, 73.58/9.93 X126:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X126 @ 73.58/9.93 ( 73.58/9.93 setminus @ 73.58/9.93 X122 @ 73.58/9.93 X124 ) ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X126 @ 73.58/9.93 X122 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X128:$i, 73.58/9.93 X130:$i, 73.58/9.93 X132:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X132 @ 73.58/9.93 ( 73.58/9.93 setminus @ 73.58/9.93 X128 @ 73.58/9.93 X130 ) ) => 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X132 @ 73.58/9.93 X130 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X134:$i, 73.58/9.93 X136:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X134 @ 73.58/9.93 X136 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setminus @ 73.58/9.93 X134 @ 73.58/9.93 X136 ) = 73.58/9.93 ( 73.58/9.93 emptyset ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X138:$i, 73.58/9.93 X140:$i, 73.58/9.93 X142:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X142 @ 73.58/9.93 ( 73.58/9.93 setminus 73.58/9.93 @ 73.58/9.93 X138 @ 73.58/9.93 X140 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X142 @ 73.58/9.93 X138 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X142 @ 73.58/9.93 X140 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X144:$i, 73.58/9.93 X146:$i, 73.58/9.93 X148:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X148 @ 73.58/9.93 ( 73.58/9.93 setminus 73.58/9.93 @ 73.58/9.93 X144 @ 73.58/9.93 X146 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X148 @ 73.58/9.93 X146 ) ) => 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X148 @ 73.58/9.93 X144 ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X150:$i, 73.58/9.93 X152:$i, 73.58/9.93 X154:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X154 @ 73.58/9.93 X150 ) ) => 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X154 @ 73.58/9.93 ( 73.58/9.93 setminus 73.58/9.93 @ 73.58/9.93 X150 @ 73.58/9.93 X152 ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X156:$i, 73.58/9.93 X158:$i, 73.58/9.93 X160:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X160 @ 73.58/9.93 X158 ) => 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X160 @ 73.58/9.93 ( 73.58/9.93 setminus 73.58/9.93 @ 73.58/9.93 X156 @ 73.58/9.93 X158 ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X162:$i, 73.58/9.93 X164:$i]: 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 ( 73.58/9.93 setminus @ 73.58/9.93 X162 @ 73.58/9.93 X164 ) @ 73.58/9.93 X162 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X166:$i, 73.58/9.93 X168:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setminus @ 73.58/9.93 X166 @ 73.58/9.93 X168 ) = 73.58/9.93 ( 73.58/9.93 emptyset ) ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X166 @ 73.58/9.93 X168 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 symdiffE ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 symdiffI1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 symdiffI2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 symdiffIneg1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 symdiffIneg2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 secondinupair ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairIL ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairIR ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 kpairiskpair ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 kpairp ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X170:$i, 73.58/9.93 X172:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X172 @ 73.58/9.93 X170 ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 ( 73.58/9.93 setadjoin 73.58/9.93 @ 73.58/9.93 X172 @ 73.58/9.93 emptyset ) @ 73.58/9.93 X170 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X174:$i, 73.58/9.93 X176:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X176 @ 73.58/9.93 X174 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 ( 73.58/9.93 setadjoin 73.58/9.93 @ 73.58/9.93 X176 @ 73.58/9.93 emptyset ) @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X174 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 singletoninpowunion ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairset2E ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairsubunion ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairinpowunion ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ubforcartprodlem1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ubforcartprodlem2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ubforcartprodlem3 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodpairin ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodmempair1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodmempair ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setunionE2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setunionsingleton1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setunionsingleton2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setunionsingleton ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 singletonprop ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ex1E1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ex1I ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ex1I2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 singletonsuniq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjL1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 kfstsingleton ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 theprop ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 kfstpairEq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodfstin ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjL2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjL ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjR11 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjR12 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjR1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairequniteq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjR2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjR ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ksndsingleton ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ksndpairEq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 kpairsurjEq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodsndin ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodpairmemEL ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodpairmemER ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodmempaircEq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodfstpairEq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodsndpairEq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodpairsurjEq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 dpsetconstrI ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 dpsetconstrSub ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setOfPairsIsBReln ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 dpsetconstrERa ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 dpsetconstrEL1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 dpsetconstrEL2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 dpsetconstrER ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 funcImageSingleton ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 apProp ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 app ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 infuncsetfunc ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ap2p ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 funcinfuncset ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 lamProp ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 lamp ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 lam2p ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 brelnall1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 brelnall2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ex1E2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 funcGraphProp1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 funcGraphProp3 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 funcGraphProp2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 funcextLem ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 funcGraphProp4 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subbreln ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 eqbreln ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 funcext ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 funcext2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ap2apEq1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ap2apEq2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 beta1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 eta1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 lam2lamEq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 beta2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 eta2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 iffalseProp1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 iffalseProp2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 iftrueProp1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 iftrueProp2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ifSingleton ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ifp ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 theeq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 iftrue ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 iffalse ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 iftrueorfalse ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectT_lem ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binunionT_lem ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X178:$i, 73.58/9.93 X180:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X180 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X178 ) ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X180 ) @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X178 ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X182:$i, 73.58/9.93 X184:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X184 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X182 ) ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X186:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X186 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X182 ) ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 ( 73.58/9.93 setminus @ 73.58/9.93 X184 @ 73.58/9.93 X186 ) @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X182 ) ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X188:$i, 73.58/9.93 X190:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X190 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X188 ) ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 ( 73.58/9.93 setminus @ 73.58/9.93 X188 @ 73.58/9.93 X190 ) @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X188 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X192:$i, 73.58/9.93 X194:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X194 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X192 ) ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X196:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X196 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X192 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X198:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X198 @ 73.58/9.93 X192 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X198 @ 73.58/9.93 X194 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X198 @ 73.58/9.93 X196 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X200:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X200 @ 73.58/9.93 X192 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X200 @ 73.58/9.93 X196 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X200 @ 73.58/9.93 X194 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 X194 ) = 73.58/9.93 ( 73.58/9.93 X196 ) ) ) ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X202:$i, 73.58/9.93 X204:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X204 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X202 ) ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X206:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X206 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X202 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X208:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X208 @ 73.58/9.93 X202 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X208 @ 73.58/9.93 X204 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X208 @ 73.58/9.93 X206 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X204 @ 73.58/9.93 X206 ) ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X210:$i, 73.58/9.93 X212:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X212 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X210 ) ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X214:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X214 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X210 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X216:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X216 @ 73.58/9.93 X210 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X216 @ 73.58/9.93 X212 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X216 @ 73.58/9.93 X214 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X212 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X214 ) ) ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X218:$i, 73.58/9.93 X220:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X220 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X218 ) ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X222:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X222 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X218 ) ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X224:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X224 @ 73.58/9.93 X218 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X220 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X222 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X224 @ 73.58/9.93 X220 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X224 @ 73.58/9.93 X222 ) ) ) ) ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X226:$i, 73.58/9.93 X228:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X228 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X226 ) ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X230:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X230 @ 73.58/9.93 X226 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X230 @ 73.58/9.93 X228 ) => 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X230 @ 73.58/9.93 ( 73.58/9.93 setminus 73.58/9.93 @ 73.58/9.93 X226 @ 73.58/9.93 X228 ) ) ) ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X232:$i, 73.58/9.93 X234:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X234 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X232 ) ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X236:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X236 @ 73.58/9.93 X232 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X236 @ 73.58/9.93 ( 73.58/9.93 setminus 73.58/9.93 @ 73.58/9.93 X232 @ 73.58/9.93 X234 ) ) ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X236 @ 73.58/9.93 X234 ) ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectTELcontra ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectTERcontra ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X238:$i, 73.58/9.93 X240:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X240 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X238 ) ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X242:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X242 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X238 ) ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X244:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X244 @ 73.58/9.93 X238 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X240 @ 73.58/9.93 ( 73.58/9.93 setminus @ 73.58/9.93 X238 @ 73.58/9.93 X242 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X244 @ 73.58/9.93 X242 ) => 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X244 @ 73.58/9.93 X240 ) ) ) ) ) ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X246:$i, 73.58/9.93 X248:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X248 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X246 ) ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X250:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X250 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X246 ) ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X252:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X252 @ 73.58/9.93 X246 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X248 @ 73.58/9.93 X250 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X252 @ 73.58/9.93 X250 ) ) => 73.58/9.93 ( 73.58/9.93 ~( 73.58/9.93 in @ 73.58/9.93 X252 @ 73.58/9.93 X248 ) ) ) ) ) ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X254:$i, 73.58/9.93 X256:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X256 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X254 ) ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X258:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X258 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X254 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X256 @ 73.58/9.93 X258 ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 ( 73.58/9.93 setminus @ 73.58/9.93 X254 @ 73.58/9.93 X258 ) @ 73.58/9.93 ( 73.58/9.93 setminus @ 73.58/9.93 X254 @ 73.58/9.93 X256 ) ) ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X260:$i, 73.58/9.93 X262:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X262 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X260 ) ) => 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X264:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X264 @ 73.58/9.93 ( 73.58/9.93 powerset @ 73.58/9.93 X260 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 ( 73.58/9.93 setminus @ 73.58/9.93 X260 @ 73.58/9.93 X264 ) @ 73.58/9.93 ( 73.58/9.93 setminus @ 73.58/9.93 X260 @ 73.58/9.93 X262 ) ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X262 @ 73.58/9.93 X264 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 73.58/9.93 thf(zf_stmt_4, negated_conjecture, 73.58/9.93 (~( ( setextAx ) => 73.58/9.93 ( ( emptysetAx ) => 73.58/9.93 ( ( setadjoinAx ) => 73.58/9.93 ( ( ![X4:$i,X6:$i]: 73.58/9.93 ( ( in @ X6 @ ( powerset @ X4 ) ) <=> 73.58/9.93 ( ![X8:$i]: ( zip_tseitin_0 @ X8 @ X6 @ X4 ) ) ) ) => 73.58/9.93 ( ( setunionAx ) => 73.58/9.93 ( ( omega0Ax ) => 73.58/9.93 ( ( omegaSAx ) => 73.58/9.93 ( ( omegaIndAx ) => 73.58/9.93 ( ( replAx ) => 73.58/9.93 ( ( foundationAx ) => 73.58/9.93 ( ( wellorderingAx ) => 73.58/9.93 ( ( descrp ) => 73.58/9.93 ( ( dsetconstrI ) => 73.58/9.93 ( ( dsetconstrEL ) => 73.58/9.93 ( ( dsetconstrER ) => 73.58/9.93 ( ( exuE1 ) => 73.58/9.93 ( ( prop2setE ) => 73.58/9.93 ( ( emptysetE ) => 73.58/9.93 ( ( emptysetimpfalse ) => 73.58/9.93 ( ( notinemptyset ) => 73.58/9.93 ( ( exuE3e ) => 73.58/9.93 ( ( setext ) => 73.58/9.93 ( ( emptyI ) => 73.58/9.93 ( ( noeltsimpempty ) => 73.58/9.93 ( ( setbeta ) => 73.58/9.93 ( ( nonemptyE1 ) => 73.58/9.93 ( ( nonemptyI ) => 73.58/9.93 ( ( nonemptyI1 ) => 73.58/9.93 ( ( setadjoinIL ) => 73.58/9.93 ( ( emptyinunitempty ) => 73.58/9.93 ( ( setadjoinIR ) => 73.58/9.93 ( ( 73.58/9.93 setadjoinE ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setadjoinOr ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setoftrueEq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X10:$i, 73.58/9.93 X12:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X14:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X14 @ X12 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X14 @ X10 ) ) ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X12 @ 73.58/9.93 ( 73.58/9.93 powerset 73.58/9.93 @ 73.58/9.93 X10 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X16:$i]: 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 emptyset @ 73.58/9.93 ( 73.58/9.93 powerset 73.58/9.93 @ 73.58/9.93 X16 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X18:$i]: 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 emptyset @ 73.58/9.93 ( 73.58/9.93 powerset 73.58/9.93 @ 73.58/9.93 X18 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X20:$i, 73.58/9.93 X22:$i, 73.58/9.93 X24:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X22 @ 73.58/9.93 ( 73.58/9.93 powerset 73.58/9.93 @ 73.58/9.93 X20 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X24 @ X22 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X24 @ X20 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setunionI ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setunionE ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subPowSU ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 exuE2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 nonemptyImpWitness ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 uniqinunit ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 notinsingleton ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 eqinunit ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 singletonsswitch ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairsetE ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairsetIL ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairsetIR ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 emptyE1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 vacuousDall ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 quantDeMorgan1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 quantDeMorgan2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 quantDeMorgan3 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 quantDeMorgan4 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 prop2setI ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 prop2set2propI ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 notdexE ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 notdallE ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 exuI1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 exuI3 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 exuI2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 inCongP ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 exuE3u ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 exu__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 emptyset__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setadjoin__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X26:$i, 73.58/9.93 X28:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 X26 ) = 73.58/9.93 ( 73.58/9.93 X28 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 powerset 73.58/9.93 @ 73.58/9.93 X26 ) = 73.58/9.93 ( 73.58/9.93 powerset 73.58/9.93 @ 73.58/9.93 X28 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setunion__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 omega__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 exuEu ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 descr__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 dsetconstr__Cong ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X30:$i, 73.58/9.93 X32:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X34:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X34 @ X30 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X34 @ X32 ) ) ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X30 @ X32 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X36:$i, 73.58/9.93 X38:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 X36 ) = 73.58/9.93 ( 73.58/9.93 X38 ) ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X38 @ X36 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X40:$i, 73.58/9.93 X42:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 X40 ) = 73.58/9.93 ( 73.58/9.93 X42 ) ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X40 @ X42 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X44:$i, 73.58/9.93 X46:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X48:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X48 @ X44 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X48 @ X46 ) ) ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X44 @ X46 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X50:$i]: 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 emptyset @ 73.58/9.93 X50 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X52:$i, 73.58/9.93 X54:$i, 73.58/9.93 X56:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X52 @ X54 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X56 @ X52 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X56 @ X54 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X58:$i, 73.58/9.93 X60:$i, 73.58/9.93 X62:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X58 @ X60 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ~ 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X62 @ X60 ) ) => 73.58/9.93 ( 73.58/9.93 ~ 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X62 @ X58 ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X64:$i, 73.58/9.93 X66:$i, 73.58/9.93 X68:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X68 @ X64 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ~ 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X68 @ X66 ) ) => 73.58/9.93 ( 73.58/9.93 ~ 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X64 @ X66 ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X70:$i, 73.58/9.93 X72:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ~ 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X70 @ X72 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 X70 ) != 73.58/9.93 ( 73.58/9.93 X72 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 notequalI2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X74:$i]: 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X74 @ X74 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X76:$i, 73.58/9.93 X78:$i, 73.58/9.93 X80:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X76 @ X78 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X78 @ X80 ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X76 @ X80 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X82:$i, 73.58/9.93 X84:$i]: 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X84 @ 73.58/9.93 ( 73.58/9.93 setadjoin 73.58/9.93 @ 73.58/9.93 X82 @ X84 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X86:$i, 73.58/9.93 X88:$i, 73.58/9.93 X90:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X86 @ X90 ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X86 @ 73.58/9.93 ( 73.58/9.93 setadjoin 73.58/9.93 @ 73.58/9.93 X88 @ X90 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X92:$i, 73.58/9.93 X94:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X92 @ X94 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X92 @ 73.58/9.93 ( 73.58/9.93 powerset 73.58/9.93 @ 73.58/9.93 X94 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X96:$i, 73.58/9.93 X98:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X96 @ X98 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X98 @ X96 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 X96 ) = 73.58/9.93 ( 73.58/9.93 X98 ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X100:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X100 @ 73.58/9.93 emptyset ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 X100 ) = 73.58/9.93 ( 73.58/9.93 emptyset ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X102:$i, 73.58/9.93 X104:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X104 @ 73.58/9.93 X102 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X104 @ 73.58/9.93 ( 73.58/9.93 powerset 73.58/9.93 @ 73.58/9.93 X102 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X106:$i, 73.58/9.93 X108:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X108 @ 73.58/9.93 ( 73.58/9.93 powerset 73.58/9.93 @ 73.58/9.93 X106 ) ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X108 @ 73.58/9.93 X106 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X110:$i]: 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X110 @ 73.58/9.93 ( 73.58/9.93 powerset 73.58/9.93 @ 73.58/9.93 X110 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X112:$i, 73.58/9.93 X114:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X112 @ 73.58/9.93 X114 ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 ( 73.58/9.93 powerset 73.58/9.93 @ 73.58/9.93 X112 ) @ 73.58/9.93 ( 73.58/9.93 powerset 73.58/9.93 @ 73.58/9.93 X114 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 sepInPowerset ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 sepSubset ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binunionIL ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairset2IR ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binunionIR ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binunionEcases ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binunionE ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binunionLsub ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binunionRsub ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectI ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectSubset5 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectEL ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectLsub ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectSubset2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectSubset3 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectER ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 disjointsetsI1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectRsub ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectSubset4 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 binintersectSubset1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 bs114d ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X116:$i, 73.58/9.93 X118:$i, 73.58/9.93 X120:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X120 @ 73.58/9.93 X116 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ~ 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X120 @ 73.58/9.93 X118 ) ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X120 @ 73.58/9.93 ( 73.58/9.93 setminus 73.58/9.93 @ 73.58/9.93 X116 @ 73.58/9.93 X118 ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X122:$i, 73.58/9.93 X124:$i, 73.58/9.93 X126:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X126 @ 73.58/9.93 ( 73.58/9.93 setminus 73.58/9.93 @ 73.58/9.93 X122 @ 73.58/9.93 X124 ) ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X126 @ 73.58/9.93 X122 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X128:$i, 73.58/9.93 X130:$i, 73.58/9.93 X132:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X132 @ 73.58/9.93 ( 73.58/9.93 setminus 73.58/9.93 @ 73.58/9.93 X128 @ 73.58/9.93 X130 ) ) => 73.58/9.93 ( 73.58/9.93 ~ 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X132 @ 73.58/9.93 X130 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X134:$i, 73.58/9.93 X136:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X134 @ 73.58/9.93 X136 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setminus 73.58/9.93 @ 73.58/9.93 X134 @ 73.58/9.93 X136 ) = 73.58/9.93 ( 73.58/9.93 emptyset ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X138:$i, 73.58/9.93 X140:$i, 73.58/9.93 X142:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ~ 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X142 @ 73.58/9.93 ( 73.58/9.93 setminus 73.58/9.93 @ 73.58/9.93 X138 @ 73.58/9.93 X140 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X142 @ 73.58/9.93 X138 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X142 @ 73.58/9.93 X140 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X144:$i, 73.58/9.93 X146:$i, 73.58/9.93 X148:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ~ 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X148 @ 73.58/9.93 ( 73.58/9.93 setminus 73.58/9.93 @ 73.58/9.93 X144 @ 73.58/9.93 X146 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ~ 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X148 @ 73.58/9.93 X146 ) ) => 73.58/9.93 ( 73.58/9.93 ~ 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X148 @ 73.58/9.93 X144 ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X150:$i, 73.58/9.93 X152:$i, 73.58/9.93 X154:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ~ 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X154 @ 73.58/9.93 X150 ) ) => 73.58/9.93 ( 73.58/9.93 ~ 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X154 @ 73.58/9.93 ( 73.58/9.93 setminus 73.58/9.93 @ 73.58/9.93 X150 @ 73.58/9.93 X152 ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X156:$i, 73.58/9.93 X158:$i, 73.58/9.93 X160:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X160 @ 73.58/9.93 X158 ) => 73.58/9.93 ( 73.58/9.93 ~ 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X160 @ 73.58/9.93 ( 73.58/9.93 setminus 73.58/9.93 @ 73.58/9.93 X156 @ 73.58/9.93 X158 ) ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X162:$i, 73.58/9.93 X164:$i]: 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 ( 73.58/9.93 setminus 73.58/9.93 @ 73.58/9.93 X162 @ 73.58/9.93 X164 ) @ 73.58/9.93 X162 ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X166:$i, 73.58/9.93 X168:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setminus 73.58/9.93 @ 73.58/9.93 X166 @ 73.58/9.93 X168 ) = 73.58/9.93 ( 73.58/9.93 emptyset ) ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 X166 @ 73.58/9.93 X168 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 symdiffE ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 symdiffI1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 symdiffI2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 symdiffIneg1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 symdiffIneg2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 secondinupair ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairIL ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairIR ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 kpairiskpair ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 kpairp ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X170:$i, 73.58/9.93 X172:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X172 @ 73.58/9.93 X170 ) => 73.58/9.93 ( 73.58/9.93 subset @ 73.58/9.93 ( 73.58/9.93 setadjoin 73.58/9.93 @ 73.58/9.93 X172 @ 73.58/9.93 emptyset ) @ 73.58/9.93 X170 ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ![ 73.58/9.93 X174:$i, 73.58/9.93 X176:$i]: 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 X176 @ 73.58/9.93 X174 ) => 73.58/9.93 ( 73.58/9.93 in @ 73.58/9.93 ( 73.58/9.93 setadjoin 73.58/9.93 @ 73.58/9.93 X176 @ 73.58/9.93 emptyset ) @ 73.58/9.93 ( 73.58/9.93 powerset 73.58/9.93 @ 73.58/9.93 X174 ) ) ) ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 singletoninpowunion ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairset2E ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairsubunion ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairinpowunion ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ubforcartprodlem1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ubforcartprodlem2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ubforcartprodlem3 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodpairin ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodmempair1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodmempair ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setunionE2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setunionsingleton1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setunionsingleton2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setunionsingleton ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 singletonprop ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ex1E1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ex1I ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ex1I2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 singletonsuniq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjL1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 kfstsingleton ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 theprop ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 kfstpairEq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 cartprodfstin ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjL2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjL ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjR11 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjR12 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjR1 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 upairequniteq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjR2 ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 setukpairinjR ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ksndsingleton ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 ksndpairEq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.93 kpairsurjEq ) => 73.58/9.93 ( 73.58/9.93 ( 73.58/9.94 cartprodsndin ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 cartprodpairmemEL ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 cartprodpairmemER ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 cartprodmempaircEq ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 cartprodfstpairEq ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 cartprodsndpairEq ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 cartprodpairsurjEq ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 dpsetconstrI ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 dpsetconstrSub ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 setOfPairsIsBReln ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 dpsetconstrERa ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 dpsetconstrEL1 ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 dpsetconstrEL2 ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 dpsetconstrER ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 funcImageSingleton ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 apProp ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 app ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 infuncsetfunc ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 ap2p ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 funcinfuncset ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 lamProp ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 lamp ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 lam2p ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 brelnall1 ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 brelnall2 ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 ex1E2 ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 funcGraphProp1 ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 funcGraphProp3 ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 funcGraphProp2 ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 funcextLem ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 funcGraphProp4 ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 subbreln ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 eqbreln ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 funcext ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 funcext2 ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 ap2apEq1 ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 ap2apEq2 ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 beta1 ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 eta1 ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 lam2lamEq ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 beta2 ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 eta2 ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 iffalseProp1 ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 iffalseProp2 ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 iftrueProp1 ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 iftrueProp2 ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 ifSingleton ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 ifp ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 theeq ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 iftrue ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 iffalse ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 iftrueorfalse ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 binintersectT_lem ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 binunionT_lem ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 ![ 73.58/9.94 X178:$i, 73.58/9.94 X180:$i]: 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X180 @ 73.58/9.94 ( 73.58/9.94 powerset 73.58/9.94 @ 73.58/9.94 X178 ) ) => 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 ( 73.58/9.94 powerset 73.58/9.94 @ 73.58/9.94 X180 ) @ 73.58/9.94 ( 73.58/9.94 powerset 73.58/9.94 @ 73.58/9.94 ( 73.58/9.94 powerset 73.58/9.94 @ 73.58/9.94 X178 ) ) ) ) ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 ![ 73.58/9.94 X182:$i, 73.58/9.94 X184:$i]: 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X184 @ 73.58/9.94 ( 73.58/9.94 powerset 73.58/9.94 @ 73.58/9.94 X182 ) ) => 73.58/9.94 ( 73.58/9.94 ![ 73.58/9.94 X186:$i]: 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X186 @ 73.58/9.94 ( 73.58/9.94 powerset 73.58/9.94 @ 73.58/9.94 X182 ) ) => 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 ( 73.58/9.94 setminus 73.58/9.94 @ 73.58/9.94 X184 @ 73.58/9.94 X186 ) @ 73.58/9.94 ( 73.58/9.94 powerset 73.58/9.94 @ 73.58/9.94 X182 ) ) ) ) ) ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 ![ 73.58/9.94 X188:$i, 73.58/9.94 X190:$i]: 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X190 @ 73.58/9.94 ( 73.58/9.94 powerset 73.58/9.94 @ 73.58/9.94 X188 ) ) => 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 ( 73.58/9.94 setminus 73.58/9.94 @ 73.58/9.94 X188 @ 73.58/9.94 X190 ) @ 73.58/9.94 ( 73.58/9.94 powerset 73.58/9.94 @ 73.58/9.94 X188 ) ) ) ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 ![ 73.58/9.94 X192:$i, 73.58/9.94 X194:$i]: 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X194 @ 73.58/9.94 ( 73.58/9.94 powerset 73.58/9.94 @ 73.58/9.94 X192 ) ) => 73.58/9.94 ( 73.58/9.94 ![ 73.58/9.94 X196:$i]: 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X196 @ 73.58/9.94 ( 73.58/9.94 powerset 73.58/9.94 @ 73.58/9.94 X192 ) ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 ![ 73.58/9.94 X198:$i]: 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X198 @ 73.58/9.94 X192 ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X198 @ 73.58/9.94 X194 ) => 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X198 @ 73.58/9.94 X196 ) ) ) ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 ![ 73.58/9.94 X200:$i]: 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X200 @ 73.58/9.94 X192 ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X200 @ 73.58/9.94 X196 ) => 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X200 @ 73.58/9.94 X194 ) ) ) ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 X194 ) = 73.58/9.94 ( 73.58/9.94 X196 ) ) ) ) ) ) ) ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 ![ 73.58/9.94 X202:$i, 73.58/9.94 X204:$i]: 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X204 @ 73.58/9.94 ( 73.58/9.94 powerset 73.58/9.94 @ 73.58/9.94 X202 ) ) => 73.58/9.94 ( 73.58/9.94 ![ 73.58/9.94 X206:$i]: 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X206 @ 73.58/9.94 ( 73.58/9.94 powerset 73.58/9.94 @ 73.58/9.94 X202 ) ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 ![ 73.58/9.94 X208:$i]: 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X208 @ 73.58/9.94 X202 ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X208 @ 73.58/9.94 X204 ) => 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X208 @ 73.58/9.94 X206 ) ) ) ) => 73.58/9.94 ( 73.58/9.94 subset @ 73.58/9.94 X204 @ 73.58/9.94 X206 ) ) ) ) ) ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 ![ 73.58/9.94 X210:$i, 73.58/9.94 X212:$i]: 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X212 @ 73.58/9.94 ( 73.58/9.94 powerset 73.58/9.94 @ 73.58/9.94 X210 ) ) => 73.58/9.94 ( 73.58/9.94 ![ 73.58/9.94 X214:$i]: 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X214 @ 73.58/9.94 ( 73.58/9.94 powerset 73.58/9.94 @ 73.58/9.94 X210 ) ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 ![ 73.58/9.94 X216:$i]: 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X216 @ 73.58/9.94 X210 ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X216 @ 73.58/9.94 X212 ) => 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X216 @ 73.58/9.94 X214 ) ) ) ) => 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X212 @ 73.58/9.94 ( 73.58/9.94 powerset 73.58/9.94 @ 73.58/9.94 X214 ) ) ) ) ) ) ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 ![ 73.58/9.94 X218:$i, 73.58/9.94 X220:$i]: 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X220 @ 73.58/9.94 ( 73.58/9.94 powerset 73.58/9.94 @ 73.58/9.94 X218 ) ) => 73.58/9.94 ( 73.58/9.94 ![ 73.58/9.94 X222:$i]: 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X222 @ 73.58/9.94 ( 73.58/9.94 powerset 73.58/9.94 @ 73.58/9.94 X218 ) ) => 73.58/9.94 ( 73.58/9.94 ![ 73.58/9.94 X224:$i]: 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X224 @ 73.58/9.94 X218 ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X220 @ 73.58/9.94 ( 73.58/9.94 powerset 73.58/9.94 @ 73.58/9.94 X222 ) ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X224 @ 73.58/9.94 X220 ) => 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X224 @ 73.58/9.94 X222 ) ) ) ) ) ) ) ) ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 ![ 73.58/9.94 X226:$i, 73.58/9.94 X228:$i]: 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X228 @ 73.58/9.94 ( 73.58/9.94 powerset 73.58/9.94 @ 73.58/9.94 X226 ) ) => 73.58/9.94 ( 73.58/9.94 ![ 73.58/9.94 X230:$i]: 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X230 @ 73.58/9.94 X226 ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X230 @ 73.58/9.94 X228 ) => 73.58/9.94 ( 73.58/9.94 ~ 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X230 @ 73.58/9.94 ( 73.58/9.94 setminus 73.58/9.94 @ 73.58/9.94 X226 @ 73.58/9.94 X228 ) ) ) ) ) ) ) ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 ![ 73.58/9.94 X232:$i, 73.58/9.94 X234:$i]: 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X234 @ 73.58/9.94 ( 73.58/9.94 powerset 73.58/9.94 @ 73.58/9.94 X232 ) ) => 73.58/9.94 ( 73.58/9.94 ![ 73.58/9.94 X236:$i]: 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X236 @ 73.58/9.94 X232 ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 ~ 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X236 @ 73.58/9.94 ( 73.58/9.94 setminus 73.58/9.94 @ 73.58/9.94 X232 @ 73.58/9.94 X234 ) ) ) => 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X236 @ 73.58/9.94 X234 ) ) ) ) ) ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 binintersectTELcontra ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 binintersectTERcontra ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 ![ 73.58/9.94 X238:$i, 73.58/9.94 X240:$i]: 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X240 @ 73.58/9.94 ( 73.58/9.94 powerset 73.58/9.94 @ 73.58/9.94 X238 ) ) => 73.58/9.94 ( 73.58/9.94 ![ 73.58/9.94 X242:$i]: 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X242 @ 73.58/9.94 ( 73.58/9.94 powerset 73.58/9.94 @ 73.58/9.94 X238 ) ) => 73.58/9.94 ( 73.58/9.94 ![ 73.58/9.94 X244:$i]: 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X244 @ 73.58/9.94 X238 ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 subset @ 73.58/9.94 X240 @ 73.58/9.94 ( 73.58/9.94 setminus 73.58/9.94 @ 73.58/9.94 X238 @ 73.58/9.94 X242 ) ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X244 @ 73.58/9.94 X242 ) => 73.58/9.94 ( 73.58/9.94 ~ 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X244 @ 73.58/9.94 X240 ) ) ) ) ) ) ) ) ) ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 ![ 73.58/9.94 X246:$i, 73.58/9.94 X248:$i]: 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X248 @ 73.58/9.94 ( 73.58/9.94 powerset 73.58/9.94 @ 73.58/9.94 X246 ) ) => 73.58/9.94 ( 73.58/9.94 ![ 73.58/9.94 X250:$i]: 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X250 @ 73.58/9.94 ( 73.58/9.94 powerset 73.58/9.94 @ 73.58/9.94 X246 ) ) => 73.58/9.94 ( 73.58/9.94 ![ 73.58/9.94 X252:$i]: 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X252 @ 73.58/9.94 X246 ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 subset @ 73.58/9.94 X248 @ 73.58/9.94 X250 ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 ~ 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X252 @ 73.58/9.94 X250 ) ) => 73.58/9.94 ( 73.58/9.94 ~ 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X252 @ 73.58/9.94 X248 ) ) ) ) ) ) ) ) ) ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 ![ 73.58/9.94 X254:$i, 73.58/9.94 X256:$i]: 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X256 @ 73.58/9.94 ( 73.58/9.94 powerset 73.58/9.94 @ 73.58/9.94 X254 ) ) => 73.58/9.94 ( 73.58/9.94 ![ 73.58/9.94 X258:$i]: 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X258 @ 73.58/9.94 ( 73.58/9.94 powerset 73.58/9.94 @ 73.58/9.94 X254 ) ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 subset @ 73.58/9.94 X256 @ 73.58/9.94 X258 ) => 73.58/9.94 ( 73.58/9.94 subset @ 73.58/9.94 ( 73.58/9.94 setminus 73.58/9.94 @ 73.58/9.94 X254 @ 73.58/9.94 X258 ) @ 73.58/9.94 ( 73.58/9.94 setminus 73.58/9.94 @ 73.58/9.94 X254 @ 73.58/9.94 X256 ) ) ) ) ) ) ) => 73.58/9.94 ( 73.58/9.94 ![ 73.58/9.94 X260:$i, 73.58/9.94 X262:$i]: 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X262 @ 73.58/9.94 ( 73.58/9.94 powerset 73.58/9.94 @ 73.58/9.94 X260 ) ) => 73.58/9.94 ( 73.58/9.94 ![ 73.58/9.94 X264:$i]: 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 in @ 73.58/9.94 X264 @ 73.58/9.94 ( 73.58/9.94 powerset 73.58/9.94 @ 73.58/9.94 X260 ) ) => 73.58/9.94 ( 73.58/9.94 ( 73.58/9.94 subset @ 73.58/9.94 ( 73.58/9.94 setminus 73.58/9.94 @ 73.58/9.94 X260 @ 73.58/9.94 X264 ) @ 73.58/9.94 ( 73.58/9.94 setminus 73.58/9.94 @ 73.58/9.94 X260 @ 73.58/9.94 X262 ) ) => 73.58/9.94 ( 73.58/9.94 subset @ 73.58/9.94 X262 @ 73.58/9.94 X264 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 73.58/9.94 inference('cnf.neg', [status(esa)], [zf_stmt_3])). 73.58/9.94 thf(zip_derived_cl225, plain, 73.58/9.94 (![X110 : $i, X111 : $i]: 73.58/9.94 ( (subset @ X110 @ X111) | ~ (in @ (sk__130 @ X111 @ X110) @ X111))), 73.58/9.94 inference('cnf', [status(esa)], [zf_stmt_4])). 73.58/9.94 thf(zip_derived_cl202, plain, 73.58/9.94 (![X83 : $i, X84 : $i, X85 : $i]: 73.58/9.94 (~ (in @ X83 @ X84) 73.58/9.94 | (in @ X83 @ X85) 73.58/9.94 | (in @ X83 @ (setminus @ X84 @ X85)))), 73.58/9.94 inference('cnf', [status(esa)], [zf_stmt_4])). 73.58/9.94 thf(zip_derived_cl130, plain, 73.58/9.94 ( (subset @ (setminus @ sk__134 @ sk__136) @ 73.58/9.94 (setminus @ sk__134 @ sk__135))), 73.58/9.94 inference('cnf', [status(esa)], [zf_stmt_4])). 73.58/9.94 thf(zip_derived_cl133, plain, 73.58/9.94 (![X60 : $i, X61 : $i, X62 : $i, X63 : $i]: 73.58/9.94 (~ (in @ X60 @ (powerset @ X61)) 73.58/9.94 | ~ (subset @ X62 @ (setminus @ X61 @ X60)) 73.58/9.94 | ~ (in @ X63 @ X62) 73.58/9.94 | ~ (in @ X63 @ X60) 73.58/9.94 | ~ (in @ X63 @ X61) 73.58/9.94 | ~ (in @ X62 @ (powerset @ X61)))), 73.58/9.94 inference('cnf', [status(esa)], [zf_stmt_4])). 73.58/9.94 thf(zip_derived_cl245, plain, 73.58/9.94 (![X114 : $i, X115 : $i, X116 : $i]: 73.58/9.94 (~ (in @ X114 @ (powerset @ X115)) 73.58/9.94 | (in @ X116 @ X115) 73.58/9.94 | ~ (in @ X116 @ X114))), 73.58/9.94 inference('cnf', [status(esa)], [zf_stmt_4])). 73.58/9.94 thf(zip_derived_cl1039, plain, 73.58/9.94 (![X60 : $i, X61 : $i, X62 : $i, X63 : $i]: 73.58/9.94 (~ (in @ X62 @ (powerset @ X61)) 73.58/9.94 | ~ (in @ X63 @ X60) 73.58/9.94 | ~ (in @ X63 @ X62) 73.58/9.94 | ~ (subset @ X62 @ (setminus @ X61 @ X60)) 73.58/9.94 | ~ (in @ X60 @ (powerset @ X61)))), 73.58/9.94 inference('clc', [status(thm)], [zip_derived_cl133, zip_derived_cl245])). 73.58/9.94 thf(zip_derived_cl1044, plain, 73.58/9.94 (![X0 : $i]: 73.58/9.94 (~ (in @ sk__135 @ (powerset @ sk__134)) 73.58/9.94 | ~ (in @ X0 @ (setminus @ sk__134 @ sk__136)) 73.58/9.94 | ~ (in @ X0 @ sk__135) 73.58/9.94 | ~ (in @ (setminus @ sk__134 @ sk__136) @ (powerset @ sk__134)))), 73.58/9.94 inference('sup-', [status(thm)], [zip_derived_cl130, zip_derived_cl1039])). 73.58/9.94 thf(zip_derived_cl131, plain, ( (in @ sk__135 @ (powerset @ sk__134))), 73.58/9.94 inference('cnf', [status(esa)], [zf_stmt_4])). 73.58/9.94 thf(zip_derived_cl51, plain, 73.58/9.94 (![X21 : $i, X22 : $i]: 73.58/9.94 ( (in @ X21 @ (powerset @ X22)) | ~ (subset @ X21 @ X22))), 73.58/9.94 inference('cnf', [status(esa)], [zf_stmt_4])). 73.58/9.94 thf(zip_derived_cl200, plain, 73.58/9.94 (![X78 : $i, X79 : $i]: (subset @ (setminus @ X78 @ X79) @ X78)), 73.58/9.94 inference('cnf', [status(esa)], [zf_stmt_4])). 73.58/9.94 thf(zip_derived_cl338, plain, 73.58/9.94 (![X0 : $i, X1 : $i]: (in @ (setminus @ X0 @ X1) @ (powerset @ X0))), 73.58/9.94 inference('sup+', [status(thm)], [zip_derived_cl51, zip_derived_cl200])). 73.58/9.94 thf(zip_derived_cl1062, plain, 73.58/9.94 (![X0 : $i]: 73.58/9.94 (~ (in @ X0 @ (setminus @ sk__134 @ sk__136)) | ~ (in @ X0 @ sk__135))), 73.58/9.94 inference('demod', [status(thm)], 73.58/9.94 [zip_derived_cl1044, zip_derived_cl131, zip_derived_cl338])). 73.58/9.94 thf(zip_derived_cl226, plain, 73.58/9.94 (![X110 : $i, X111 : $i]: 73.58/9.94 ( (subset @ X110 @ X111) | (in @ (sk__130 @ X111 @ X110) @ X110))), 73.58/9.94 inference('cnf', [status(esa)], [zf_stmt_4])). 73.58/9.94 thf(zip_derived_cl129, plain, (~ (subset @ sk__135 @ sk__136)), 73.58/9.94 inference('cnf', [status(esa)], [zf_stmt_4])). 73.58/9.94 thf(zip_derived_cl131, plain, ( (in @ sk__135 @ (powerset @ sk__134))), 73.58/9.94 inference('cnf', [status(esa)], [zf_stmt_4])). 73.58/9.94 thf(zip_derived_cl245, plain, 73.58/9.94 (![X114 : $i, X115 : $i, X116 : $i]: 73.58/9.94 (~ (in @ X114 @ (powerset @ X115)) 73.58/9.94 | (in @ X116 @ X115) 73.58/9.94 | ~ (in @ X116 @ X114))), 73.58/9.94 inference('cnf', [status(esa)], [zf_stmt_4])). 73.58/9.94 thf(zip_derived_cl637, plain, 73.58/9.94 (![X0 : $i]: (~ (in @ X0 @ sk__135) | (in @ X0 @ sk__134))), 73.58/9.94 inference('sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl245])). 73.58/9.94 thf(zip_derived_cl31425, plain, ($false), 73.58/9.94 inference('eprover', [status(thm)], 73.58/9.94 [zip_derived_cl225, zip_derived_cl202, zip_derived_cl1062, 73.58/9.94 zip_derived_cl226, zip_derived_cl129, zip_derived_cl637])). 73.58/9.94 73.58/9.94 % SZS output end Refutation 73.58/9.94 73.58/9.94 73.58/9.94 % Terminating... 73.58/9.94 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s 73.58/10.00 % Runner terminated. 73.58/10.00 % Zipperpin 1.5 exiting 73.58/10.01 EOF