%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU718^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PzUZOpGe0l true
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:55:56 PM UTC 2025
% Result : Theorem 1.51s 0.97s
% Output : Refutation 1.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU718^1 : TPTP v9.2.0. Released v3.7.0.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PzUZOpGe0l true
% 0.11/0.33 % Computer : n010.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Oct 1 16:07:08 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.34 % Python version: Python 3.6.8
% 0.11/0.34 % Running in HO mode
% 0.20/0.65 % Total configuration time : 828
% 0.20/0.65 % Estimated wc time : 1656
% 0.20/0.65 % Estimated cpu time (8 cpus) : 207.0
% 1.19/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.19/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.19/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.32/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.32/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.32/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.32/0.81 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.32/0.81 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.51/0.97 % Solved by lams/40_c_ic.sh.
% 1.51/0.97 % done 260 iterations in 0.183s
% 1.51/0.97 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.51/0.97 % SZS output start Refutation
% 1.51/0.97 thf(setadjoinAx_type, type, setadjoinAx: $o).
% 1.51/0.97 thf(notdexE_type, type, notdexE: $o).
% 1.51/0.97 thf(setukpairinjL2_type, type, setukpairinjL2: $o).
% 1.51/0.97 thf(setunionAx_type, type, setunionAx: $o).
% 1.51/0.97 thf(setminusELneg_type, type, setminusELneg: $o).
% 1.51/0.97 thf(cartprodsndin_type, type, cartprodsndin: $o).
% 1.51/0.97 thf(ex1E1_type, type, ex1E1: $o).
% 1.51/0.97 thf(powersetE_type, type, powersetE: $o).
% 1.51/0.97 thf(omegaSAx_type, type, omegaSAx: $o).
% 1.51/0.97 thf(exuI1_type, type, exuI1: $o).
% 1.51/0.97 thf(exuI2_type, type, exuI2: $o).
% 1.51/0.97 thf(notequalI2_type, type, notequalI2: $o).
% 1.51/0.97 thf(setukpairinjL_type, type, setukpairinjL: $o).
% 1.51/0.97 thf(kpairiskpair_type, type, kpairiskpair: $o).
% 1.51/0.97 thf(upairsubunion_type, type, upairsubunion: $o).
% 1.51/0.97 thf(funcGraphProp3_type, type, funcGraphProp3: $o).
% 1.51/0.97 thf(cartprodmempaircEq_type, type, cartprodmempaircEq: $o).
% 1.51/0.97 thf(powerset__Cong_type, type, powerset__Cong: $o).
% 1.51/0.97 thf(setminusILneg_type, type, setminusILneg: $o).
% 1.51/0.97 thf(wellorderingAx_type, type, wellorderingAx: $o).
% 1.51/0.97 thf(ksndpairEq_type, type, ksndpairEq: $o).
% 1.51/0.97 thf(funcGraphProp2_type, type, funcGraphProp2: $o).
% 1.51/0.97 thf(setadjoinSub2_type, type, setadjoinSub2: $o).
% 1.51/0.97 thf(binintersectSubset5_type, type, binintersectSubset5: $o).
% 1.51/0.97 thf(iftrue_type, type, iftrue: $o).
% 1.51/0.97 thf(upairinpowunion_type, type, upairinpowunion: $o).
% 1.51/0.97 thf(ifSingleton_type, type, ifSingleton: $o).
% 1.51/0.97 thf(setoftrueEq_type, type, setoftrueEq: $o).
% 1.51/0.97 thf(funcImageSingleton_type, type, funcImageSingleton: $o).
% 1.51/0.97 thf(dpsetconstrERa_type, type, dpsetconstrERa: $o).
% 1.51/0.97 thf(lamProp_type, type, lamProp: $o).
% 1.51/0.97 thf(cartprodpairmemEL_type, type, cartprodpairmemEL: $o).
% 1.51/0.97 thf(emptyset__Cong_type, type, emptyset__Cong: $o).
% 1.51/0.97 thf(dpsetconstrER_type, type, dpsetconstrER: $o).
% 1.51/0.97 thf(sepInPowerset_type, type, sepInPowerset: $o).
% 1.51/0.97 thf(setukpairIR_type, type, setukpairIR: $o).
% 1.51/0.97 thf(setukpairinjR1_type, type, setukpairinjR1: $o).
% 1.51/0.97 thf(lam2p_type, type, lam2p: $o).
% 1.51/0.97 thf(binunionE_type, type, binunionE: $o).
% 1.51/0.97 thf(setext_type, type, setext: $o).
% 1.51/0.97 thf(emptyinPowerset_type, type, emptyinPowerset: $o).
% 1.51/0.97 thf(ubforcartprodlem1_type, type, ubforcartprodlem1: $o).
% 1.51/0.97 thf(descr__Cong_type, type, descr__Cong: $o).
% 1.51/0.97 thf(kfstsingleton_type, type, kfstsingleton: $o).
% 1.51/0.97 thf(eqbreln_type, type, eqbreln: $o).
% 1.51/0.97 thf(binintersectSubset1_type, type, binintersectSubset1: $o).
% 1.51/0.97 thf(in_type, type, in: $i > $i > $o).
% 1.51/0.97 thf(binunionT_lem_type, type, binunionT_lem: $o).
% 1.51/0.97 thf(quantDeMorgan1_type, type, quantDeMorgan1: $o).
% 1.51/0.97 thf(complementT_lem_type, type, complementT_lem: $o).
% 1.51/0.97 thf(kpairsurjEq_type, type, kpairsurjEq: $o).
% 1.51/0.97 thf(setadjoinIR_type, type, setadjoinIR: $o).
% 1.51/0.97 thf(beta1_type, type, beta1: $o).
% 1.51/0.97 thf(setadjoin__Cong_type, type, setadjoin__Cong: $o).
% 1.51/0.97 thf(sk__45_type, type, sk__45: $i).
% 1.51/0.97 thf(symdiffI2_type, type, symdiffI2: $o).
% 1.51/0.97 thf(iftrueProp2_type, type, iftrueProp2: $o).
% 1.51/0.97 thf(upairset2IR_type, type, upairset2IR: $o).
% 1.51/0.97 thf(iffalseProp2_type, type, iffalseProp2: $o).
% 1.51/0.97 thf(subsetE_type, type, subsetE: $o).
% 1.51/0.97 thf(prop2set2propI_type, type, prop2set2propI: $o).
% 1.51/0.97 thf(dsetconstrEL_type, type, dsetconstrEL: $o).
% 1.51/0.97 thf(setbeta_type, type, setbeta: $o).
% 1.51/0.97 thf(eqinunit_type, type, eqinunit: $o).
% 1.51/0.97 thf(upairsetIL_type, type, upairsetIL: $o).
% 1.51/0.97 thf(powersetI1_type, type, powersetI1: $o).
% 1.51/0.97 thf(kfstpairEq_type, type, kfstpairEq: $o).
% 1.51/0.97 thf(binintersectSubset3_type, type, binintersectSubset3: $o).
% 1.51/0.97 thf(setminusIRneg_type, type, setminusIRneg: $o).
% 1.51/0.97 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o).
% 1.51/0.97 thf(ap2apEq1_type, type, ap2apEq1: $o).
% 1.51/0.97 thf(powersetAx_type, type, powersetAx: $o).
% 1.51/0.97 thf(binintersectSubset4_type, type, binintersectSubset4: $o).
% 1.51/0.97 thf(singletoninpowunion_type, type, singletoninpowunion: $o).
% 1.51/0.97 thf(powersetI_type, type, powersetI: $o).
% 1.51/0.97 thf(cartprodmempair_type, type, cartprodmempair: $o).
% 1.51/0.97 thf(upairsetIR_type, type, upairsetIR: $o).
% 1.51/0.97 thf(lamp_type, type, lamp: $o).
% 1.51/0.97 thf(dpsetconstrEL1_type, type, dpsetconstrEL1: $o).
% 1.51/0.97 thf(inCongP_type, type, inCongP: $o).
% 1.51/0.97 thf(setadjoinSub_type, type, setadjoinSub: $o).
% 1.51/0.97 thf(exuE3e_type, type, exuE3e: $o).
% 1.51/0.97 thf(emptysetE_type, type, emptysetE: $o).
% 1.51/0.97 thf(binintersectSubset2_type, type, binintersectSubset2: $o).
% 1.51/0.97 thf(setunionI_type, type, setunionI: $o).
% 1.51/0.97 thf(setunion__Cong_type, type, setunion__Cong: $o).
% 1.51/0.97 thf(prop2setI_type, type, prop2setI: $o).
% 1.51/0.97 thf(singletonsuniq_type, type, singletonsuniq: $o).
% 1.51/0.97 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o).
% 1.51/0.97 thf(setminusER_type, type, setminusER: $o).
% 1.51/0.97 thf(exuE2_type, type, exuE2: $o).
% 1.51/0.97 thf(emptyset_type, type, emptyset: $i).
% 1.51/0.97 thf(setukpairinjR11_type, type, setukpairinjR11: $o).
% 1.51/0.97 thf(ex1I_type, type, ex1I: $o).
% 1.51/0.97 thf(ex1E2_type, type, ex1E2: $o).
% 1.51/0.97 thf(setukpairinjL1_type, type, setukpairinjL1: $o).
% 1.51/0.97 thf(powersetsubset_type, type, powersetsubset: $o).
% 1.51/0.97 thf(subPowSU_type, type, subPowSU: $o).
% 1.51/0.97 thf(notequalI1_type, type, notequalI1: $o).
% 1.51/0.97 thf(notinemptyset_type, type, notinemptyset: $o).
% 1.51/0.97 thf(lam2lamEq_type, type, lam2lamEq: $o).
% 1.51/0.97 thf(nonemptyI1_type, type, nonemptyI1: $o).
% 1.51/0.97 thf(subsetTrans_type, type, subsetTrans: $o).
% 1.51/0.97 thf(kpairp_type, type, kpairp: $o).
% 1.51/0.97 thf(setukpairinjR12_type, type, setukpairinjR12: $o).
% 1.51/0.97 thf(setminusI_type, type, setminusI: $o).
% 1.51/0.97 thf(binunionIL_type, type, binunionIL: $o).
% 1.51/0.97 thf(dpsetconstrSub_type, type, dpsetconstrSub: $o).
% 1.51/0.97 thf(setunionsingleton_type, type, setunionsingleton: $o).
% 1.51/0.97 thf(subsetE2_type, type, subsetE2: $o).
% 1.51/0.97 thf(singletonsswitch_type, type, singletonsswitch: $o).
% 1.51/0.97 thf(ubforcartprodlem3_type, type, ubforcartprodlem3: $o).
% 1.51/0.97 thf(beta2_type, type, beta2: $o).
% 1.51/0.97 thf(dpsetconstrI_type, type, dpsetconstrI: $o).
% 1.51/0.97 thf(setextsub_type, type, setextsub: $o).
% 1.51/0.97 thf(binunionLsub_type, type, binunionLsub: $o).
% 1.51/0.97 thf(setunionsingleton1_type, type, setunionsingleton1: $o).
% 1.51/0.97 thf(iftrueorfalse_type, type, iftrueorfalse: $o).
% 1.51/0.97 thf(emptysetsubset_type, type, emptysetsubset: $o).
% 1.51/0.97 thf(quantDeMorgan3_type, type, quantDeMorgan3: $o).
% 1.51/0.97 thf(cartprodpairsurjEq_type, type, cartprodpairsurjEq: $o).
% 1.51/0.97 thf(setOfPairsIsBReln_type, type, setOfPairsIsBReln: $o).
% 1.51/0.97 thf(setunionE_type, type, setunionE: $o).
% 1.51/0.97 thf(ksndsingleton_type, type, ksndsingleton: $o).
% 1.51/0.97 thf(setminusSubset1_type, type, setminusSubset1: $o).
% 1.51/0.97 thf(powersetT_lem_type, type, powersetT_lem: $o).
% 1.51/0.97 thf(emptyinunitempty_type, type, emptyinunitempty: $o).
% 1.51/0.97 thf(binunionIR_type, type, binunionIR: $o).
% 1.51/0.97 thf(theeq_type, type, theeq: $o).
% 1.51/0.97 thf(setadjoinE_type, type, setadjoinE: $o).
% 1.51/0.97 thf(infuncsetfunc_type, type, infuncsetfunc: $o).
% 1.51/0.97 thf(ap2apEq2_type, type, ap2apEq2: $o).
% 1.51/0.97 thf(ap2p_type, type, ap2p: $o).
% 1.51/0.97 thf(setadjoinIL_type, type, setadjoinIL: $o).
% 1.51/0.97 thf(cartprodsndpairEq_type, type, cartprodsndpairEq: $o).
% 1.51/0.97 thf(exuE1_type, type, exuE1: $o).
% 1.51/0.97 thf(ubforcartprodlem2_type, type, ubforcartprodlem2: $o).
% 1.51/0.97 thf(binintersectRsub_type, type, binintersectRsub: $o).
% 1.51/0.97 thf(setminusLsub_type, type, setminusLsub: $o).
% 1.51/0.97 thf(funcextLem_type, type, funcextLem: $o).
% 1.51/0.97 thf(setukpairinjR_type, type, setukpairinjR: $o).
% 1.51/0.97 thf(notinsingleton_type, type, notinsingleton: $o).
% 1.51/0.97 thf(eqimpsubset2_type, type, eqimpsubset2: $o).
% 1.51/0.97 thf(exuEu_type, type, exuEu: $o).
% 1.51/0.97 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o).
% 1.51/0.97 thf(upairsetE_type, type, upairsetE: $o).
% 1.51/0.97 thf(omega0Ax_type, type, omega0Ax: $o).
% 1.51/0.97 thf(subsetTI_type, type, subsetTI: $o).
% 1.51/0.97 thf(notsubsetI_type, type, notsubsetI: $o).
% 1.51/0.97 thf(iffalseProp1_type, type, iffalseProp1: $o).
% 1.51/0.97 thf(quantDeMorgan4_type, type, quantDeMorgan4: $o).
% 1.51/0.97 thf(setextAx_type, type, setextAx: $o).
% 1.51/0.97 thf(cartprodpairmemER_type, type, cartprodpairmemER: $o).
% 1.51/0.97 thf(powersetE1_type, type, powersetE1: $o).
% 1.51/0.97 thf(bs114d_type, type, bs114d: $o).
% 1.51/0.97 thf(noeltsimpempty_type, type, noeltsimpempty: $o).
% 1.51/0.97 thf(ifp_type, type, ifp: $o).
% 1.51/0.97 thf(powersetTI1_type, type, powersetTI1: $o).
% 1.51/0.97 thf(binintersectLsub_type, type, binintersectLsub: $o).
% 1.51/0.97 thf(subsetI1_type, type, subsetI1: $o).
% 1.51/0.97 thf(symdiffE_type, type, symdiffE: $o).
% 1.51/0.97 thf(descrp_type, type, descrp: $o).
% 1.51/0.97 thf(dsetconstr__Cong_type, type, dsetconstr__Cong: $o).
% 1.51/0.97 thf(foundationAx_type, type, foundationAx: $o).
% 1.51/0.97 thf(emptysetAx_type, type, emptysetAx: $o).
% 1.51/0.97 thf(emptyI_type, type, emptyI: $o).
% 1.51/0.97 thf(setadjoinOr_type, type, setadjoinOr: $o).
% 1.51/0.97 thf(eta2_type, type, eta2: $o).
% 1.51/0.97 thf(binintersectEL_type, type, binintersectEL: $o).
% 1.51/0.97 thf(emptyE1_type, type, emptyE1: $o).
% 1.51/0.97 thf(sk__46_type, type, sk__46: $i).
% 1.51/0.97 thf(emptyInPowerset_type, type, emptyInPowerset: $o).
% 1.51/0.97 thf(vacuousDall_type, type, vacuousDall: $o).
% 1.51/0.97 thf(dsetconstrER_type, type, dsetconstrER: $o).
% 1.51/0.97 thf(binintersectI_type, type, binintersectI: $o).
% 1.51/0.97 thf(sk__47_type, type, sk__47: $i).
% 1.51/0.97 thf(funcext_type, type, funcext: $o).
% 1.51/0.97 thf(funcGraphProp4_type, type, funcGraphProp4: $o).
% 1.51/0.97 thf(cartprodpairin_type, type, cartprodpairin: $o).
% 1.51/0.97 thf(cartprodmempair1_type, type, cartprodmempair1: $o).
% 1.51/0.97 thf(brelnall2_type, type, brelnall2: $o).
% 1.51/0.97 thf(setextT_type, type, setextT: $o).
% 1.51/0.97 thf(ex1I2_type, type, ex1I2: $o).
% 1.51/0.97 thf(symdiffI1_type, type, symdiffI1: $o).
% 1.51/0.97 thf(setukpairinjR2_type, type, setukpairinjR2: $o).
% 1.51/0.97 thf(dpsetconstrEL2_type, type, dpsetconstrEL2: $o).
% 1.51/0.97 thf(theprop_type, type, theprop: $o).
% 1.51/0.97 thf(subsetI2_type, type, subsetI2: $o).
% 1.51/0.97 thf(setminusT_lem_type, type, setminusT_lem: $o).
% 1.51/0.97 thf(symdiffIneg1_type, type, symdiffIneg1: $o).
% 1.51/0.97 thf(setminusERneg_type, type, setminusERneg: $o).
% 1.51/0.97 thf(symdiffIneg2_type, type, symdiffIneg2: $o).
% 1.51/0.97 thf(omega__Cong_type, type, omega__Cong: $o).
% 1.51/0.97 thf(subsetRefl_type, type, subsetRefl: $o).
% 1.51/0.97 thf(uniqinunit_type, type, uniqinunit: $o).
% 1.51/0.97 thf(setminusSubset2_type, type, setminusSubset2: $o).
% 1.51/0.97 thf(prop2setE_type, type, prop2setE: $o).
% 1.51/0.97 thf(binunionEcases_type, type, binunionEcases: $o).
% 1.51/0.97 thf(funcinfuncset_type, type, funcinfuncset: $o).
% 1.51/0.97 thf(nonemptyI_type, type, nonemptyI: $o).
% 1.51/0.97 thf(app_type, type, app: $o).
% 1.51/0.97 thf(disjointsetsI1_type, type, disjointsetsI1: $o).
% 1.51/0.97 thf(exuE3u_type, type, exuE3u: $o).
% 1.51/0.97 thf(eta1_type, type, eta1: $o).
% 1.51/0.97 thf(setminusEL_type, type, setminusEL: $o).
% 1.51/0.97 thf(cartprodfstin_type, type, cartprodfstin: $o).
% 1.51/0.97 thf(setunionsingleton2_type, type, setunionsingleton2: $o).
% 1.51/0.97 thf(sepSubset_type, type, sepSubset: $o).
% 1.51/0.97 thf(upairset2E_type, type, upairset2E: $o).
% 1.51/0.97 thf(eqimpsubset1_type, type, eqimpsubset1: $o).
% 1.51/0.97 thf(exuI3_type, type, exuI3: $o).
% 1.51/0.97 thf(cartprodfstpairEq_type, type, cartprodfstpairEq: $o).
% 1.51/0.97 thf(apProp_type, type, apProp: $o).
% 1.51/0.97 thf(notdallE_type, type, notdallE: $o).
% 1.51/0.97 thf(iftrueProp1_type, type, iftrueProp1: $o).
% 1.51/0.97 thf(binintersectER_type, type, binintersectER: $o).
% 1.51/0.97 thf(brelnall1_type, type, brelnall1: $o).
% 1.51/0.97 thf(powerset_type, type, powerset: $i > $i).
% 1.51/0.97 thf(dsetconstrI_type, type, dsetconstrI: $o).
% 1.51/0.97 thf(funcGraphProp1_type, type, funcGraphProp1: $o).
% 1.51/0.97 thf(binintersectT_lem_type, type, binintersectT_lem: $o).
% 1.51/0.97 thf(setadjoin_type, type, setadjoin: $i > $i > $i).
% 1.51/0.97 thf(exu__Cong_type, type, exu__Cong: $o).
% 1.51/0.97 thf(quantDeMorgan2_type, type, quantDeMorgan2: $o).
% 1.51/0.97 thf(secondinupair_type, type, secondinupair: $o).
% 1.51/0.97 thf(singletonprop_type, type, singletonprop: $o).
% 1.51/0.97 thf(singletonsubset_type, type, singletonsubset: $o).
% 1.51/0.97 thf(singletoninpowerset_type, type, singletoninpowerset: $o).
% 1.51/0.97 thf(subsetemptysetimpeq_type, type, subsetemptysetimpeq: $o).
% 1.51/0.97 thf(replAx_type, type, replAx: $o).
% 1.51/0.97 thf(upairequniteq_type, type, upairequniteq: $o).
% 1.51/0.97 thf(nonemptyE1_type, type, nonemptyE1: $o).
% 1.51/0.97 thf(omegaIndAx_type, type, omegaIndAx: $o).
% 1.51/0.97 thf(setukpairIL_type, type, setukpairIL: $o).
% 1.51/0.97 thf(setunionE2_type, type, setunionE2: $o).
% 1.51/0.97 thf(inPowerset_type, type, inPowerset: $o).
% 1.51/0.97 thf(iffalse_type, type, iffalse: $o).
% 1.51/0.97 thf(funcext2_type, type, funcext2: $o).
% 1.51/0.97 thf(subset_type, type, subset: $i > $i > $o).
% 1.51/0.97 thf(subbreln_type, type, subbreln: $o).
% 1.51/0.97 thf(in__Cong_type, type, in__Cong: $o).
% 1.51/0.97 thf(binunionRsub_type, type, binunionRsub: $o).
% 1.51/0.97 thf(subset2powerset_type, type, subset2powerset: $o).
% 1.51/0.97 thf(powersetTI1, axiom, powersetTI1 =
% 1.51/0.97 (![A:$i,X:$i]:
% 1.51/0.97 ( ( in @ X @ ( powerset @ A ) ) =>
% 1.51/0.97 ( ![Y:$i]:
% 1.51/0.97 ( ( in @ Y @ ( powerset @ A ) ) =>
% 1.51/0.97 ( ( ![Xx:$i]:
% 1.51/0.97 ( ( in @ Xx @ A ) => ( ( in @ Xx @ X ) => ( in @ Xx @ Y ) ) ) ) =>
% 1.51/0.97 ( in @ X @ ( powerset @ Y ) ) ) ) ) ))).
% 1.51/0.97 thf('0', plain,
% 1.51/0.97 (( powersetTI1 ) =
% 1.51/0.97 ( ![X4:$i,X6:$i]:
% 1.51/0.97 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 1.51/0.97 ( ![X8:$i]:
% 1.51/0.97 ( ( in @ X8 @ ( powerset @ X4 ) ) =>
% 1.51/0.97 ( ( ![X10:$i]:
% 1.51/0.97 ( ( in @ X10 @ X4 ) =>
% 1.51/0.97 ( ( in @ X10 @ X6 ) => ( in @ X10 @ X8 ) ) ) ) =>
% 1.51/0.97 ( in @ X6 @ ( powerset @ X8 ) ) ) ) ) ) )),
% 1.51/0.97 define([status(thm)])).
% 1.51/0.97 thf(subsetTI, axiom, subsetTI =
% 1.51/0.97 (![A:$i,X:$i]:
% 1.51/0.97 ( ( in @ X @ ( powerset @ A ) ) =>
% 1.51/0.97 ( ![Y:$i]:
% 1.51/0.97 ( ( in @ Y @ ( powerset @ A ) ) =>
% 1.51/0.97 ( ( ![Xx:$i]:
% 1.51/0.97 ( ( in @ Xx @ A ) => ( ( in @ Xx @ X ) => ( in @ Xx @ Y ) ) ) ) =>
% 1.51/0.97 ( subset @ X @ Y ) ) ) ) ))).
% 1.51/0.97 thf('1', plain,
% 1.51/0.97 (( subsetTI ) =
% 1.51/0.97 ( ![X4:$i,X6:$i]:
% 1.51/0.97 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 1.51/0.97 ( ![X8:$i]:
% 1.51/0.97 ( ( in @ X8 @ ( powerset @ X4 ) ) =>
% 1.51/0.97 ( ( ![X10:$i]:
% 1.51/0.97 ( ( in @ X10 @ X4 ) =>
% 1.51/0.97 ( ( in @ X10 @ X6 ) => ( in @ X10 @ X8 ) ) ) ) =>
% 1.51/0.97 ( subset @ X6 @ X8 ) ) ) ) ) )),
% 1.51/0.97 define([status(thm)])).
% 1.51/0.97 thf(setextT, axiom, setextT =
% 1.51/0.97 (![A:$i,X:$i]:
% 1.51/0.97 ( ( in @ X @ ( powerset @ A ) ) =>
% 1.51/0.97 ( ![Y:$i]:
% 1.51/0.97 ( ( in @ Y @ ( powerset @ A ) ) =>
% 1.51/0.97 ( ( ![Xx:$i]:
% 1.51/0.97 ( ( in @ Xx @ A ) => ( ( in @ Xx @ X ) => ( in @ Xx @ Y ) ) ) ) =>
% 1.51/0.97 ( ( ![Xx:$i]:
% 1.51/0.97 ( ( in @ Xx @ A ) => ( ( in @ Xx @ Y ) => ( in @ Xx @ X ) ) ) ) =>
% 1.51/0.97 ( ( X ) = ( Y ) ) ) ) ) ) ))).
% 1.51/0.97 thf('2', plain,
% 1.51/0.97 (( setextT ) =
% 1.51/0.97 ( ![X4:$i,X6:$i]:
% 1.51/0.97 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 1.51/0.97 ( ![X8:$i]:
% 1.51/0.97 ( ( in @ X8 @ ( powerset @ X4 ) ) =>
% 1.51/0.97 ( ( ![X10:$i]:
% 1.51/0.97 ( ( in @ X10 @ X4 ) =>
% 1.51/0.97 ( ( in @ X10 @ X6 ) => ( in @ X10 @ X8 ) ) ) ) =>
% 1.51/0.97 ( ( ![X12:$i]:
% 1.51/0.97 ( ( in @ X12 @ X4 ) =>
% 1.51/0.97 ( ( in @ X12 @ X8 ) => ( in @ X12 @ X6 ) ) ) ) =>
% 1.51/0.97 ( ( X6 ) = ( X8 ) ) ) ) ) ) ) )),
% 1.51/0.97 define([status(thm)])).
% 1.51/0.97 thf(powersetT_lem, axiom, powersetT_lem =
% 1.51/0.97 (![A:$i,X:$i]:
% 1.51/0.97 ( ( in @ X @ ( powerset @ A ) ) =>
% 1.51/0.97 ( in @ ( powerset @ X ) @ ( powerset @ ( powerset @ A ) ) ) ))).
% 1.51/0.97 thf('3', plain,
% 1.51/0.97 (( powersetT_lem ) =
% 1.51/0.97 ( ![X4:$i,X6:$i]:
% 1.51/0.97 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 1.51/0.97 ( in @ ( powerset @ X6 ) @ ( powerset @ ( powerset @ X4 ) ) ) ) )),
% 1.51/0.97 define([status(thm)])).
% 1.51/0.97 thf(singletoninpowerset, axiom, singletoninpowerset =
% 1.51/0.97 (![A:$i,Xx:$i]:
% 1.51/0.97 ( ( in @ Xx @ A ) =>
% 1.51/0.97 ( in @ ( setadjoin @ Xx @ emptyset ) @ ( powerset @ A ) ) ))).
% 1.51/0.97 thf('4', plain,
% 1.51/0.97 (( singletoninpowerset ) =
% 1.51/0.97 ( ![X4:$i,X6:$i]:
% 1.51/0.97 ( ( in @ X6 @ X4 ) =>
% 1.51/0.97 ( in @ ( setadjoin @ X6 @ emptyset ) @ ( powerset @ X4 ) ) ) )),
% 1.51/0.97 define([status(thm)])).
% 1.51/0.97 thf(powersetsubset, axiom, powersetsubset =
% 1.51/0.97 (![A:$i,B:$i]:
% 1.51/0.97 ( ( subset @ A @ B ) => ( subset @ ( powerset @ A ) @ ( powerset @ B ) ) ))).
% 1.51/0.97 thf('5', plain,
% 1.51/0.97 (( powersetsubset ) =
% 1.51/0.97 ( ![X4:$i,X6:$i]:
% 1.51/0.97 ( ( subset @ X4 @ X6 ) =>
% 1.51/0.97 ( subset @ ( powerset @ X4 ) @ ( powerset @ X6 ) ) ) )),
% 1.51/0.97 define([status(thm)])).
% 1.51/0.97 thf(inPowerset, axiom, inPowerset = (![A:$i]: ( in @ A @ ( powerset @ A ) ))).
% 1.51/0.97 thf('6', plain,
% 1.51/0.97 (( inPowerset ) = ( ![X4:$i]: ( in @ X4 @ ( powerset @ X4 ) ) )),
% 1.51/0.97 define([status(thm)])).
% 1.51/0.97 thf(powersetE1, axiom, powersetE1 =
% 1.51/0.97 (![A:$i,B:$i]: ( ( in @ B @ ( powerset @ A ) ) => ( subset @ B @ A ) ))).
% 1.51/0.97 thf('7', plain,
% 1.51/0.97 (( powersetE1 ) =
% 1.51/0.97 ( ![X4:$i,X6:$i]:
% 1.51/0.97 ( ( in @ X6 @ ( powerset @ X4 ) ) => ( subset @ X6 @ X4 ) ) )),
% 1.51/0.97 define([status(thm)])).
% 1.51/0.97 thf(powersetI1, axiom, powersetI1 =
% 1.51/0.97 (![A:$i,B:$i]: ( ( subset @ B @ A ) => ( in @ B @ ( powerset @ A ) ) ))).
% 1.51/0.97 thf('8', plain,
% 1.51/0.97 (( powersetI1 ) =
% 1.51/0.97 ( ![X4:$i,X6:$i]:
% 1.51/0.97 ( ( subset @ X6 @ X4 ) => ( in @ X6 @ ( powerset @ X4 ) ) ) )),
% 1.51/0.97 define([status(thm)])).
% 1.51/0.97 thf(subset2powerset, axiom, subset2powerset =
% 1.51/0.97 (![A:$i,B:$i]: ( ( subset @ A @ B ) => ( in @ A @ ( powerset @ B ) ) ))).
% 1.51/0.97 thf('9', plain,
% 1.51/0.97 (( subset2powerset ) =
% 1.51/0.97 ( ![X4:$i,X6:$i]:
% 1.51/0.97 ( ( subset @ X4 @ X6 ) => ( in @ X4 @ ( powerset @ X6 ) ) ) )),
% 1.51/0.97 define([status(thm)])).
% 1.51/0.97 thf(powerset__Cong, axiom, powerset__Cong =
% 1.51/0.97 (![A:$i,B:$i]:
% 1.51/0.97 ( ( ( A ) = ( B ) ) => ( ( powerset @ A ) = ( powerset @ B ) ) ))).
% 1.51/0.97 thf('10', plain,
% 1.51/0.97 (( powerset__Cong ) =
% 1.51/0.97 ( ![X4:$i,X6:$i]:
% 1.51/0.97 ( ( ( X4 ) = ( X6 ) ) => ( ( powerset @ X4 ) = ( powerset @ X6 ) ) ) )),
% 1.51/0.97 define([status(thm)])).
% 1.51/0.97 thf(powersetE, axiom, powersetE =
% 1.51/0.97 (![A:$i,B:$i,Xx:$i]:
% 1.51/0.97 ( ( in @ B @ ( powerset @ A ) ) => ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ))).
% 1.51/0.97 thf('11', plain,
% 1.51/0.97 (( powersetE ) =
% 1.51/0.97 ( ![X4:$i,X6:$i,X8:$i]:
% 1.51/0.97 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 1.51/0.97 ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) )),
% 1.51/0.97 define([status(thm)])).
% 1.51/0.97 thf(emptyInPowerset, axiom, emptyInPowerset =
% 1.51/0.97 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))).
% 1.51/0.97 thf('12', plain,
% 1.51/0.97 (( emptyInPowerset ) =
% 1.51/0.97 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )),
% 1.51/0.97 define([status(thm)])).
% 1.51/0.97 thf(emptyinPowerset, axiom, emptyinPowerset =
% 1.51/0.97 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))).
% 1.51/0.97 thf('13', plain,
% 1.51/0.97 (( emptyinPowerset ) =
% 1.51/0.97 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )),
% 1.51/0.97 define([status(thm)])).
% 1.51/0.97 thf(powersetI, axiom, powersetI =
% 1.51/0.97 (![A:$i,B:$i]:
% 1.51/0.97 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) =>
% 1.51/0.97 ( in @ B @ ( powerset @ A ) ) ))).
% 1.51/0.97 thf('14', plain,
% 1.51/0.97 (( powersetI ) =
% 1.51/0.97 ( ![X4:$i,X6:$i]:
% 1.51/0.97 ( ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) =>
% 1.51/0.97 ( in @ X6 @ ( powerset @ X4 ) ) ) )),
% 1.51/0.97 define([status(thm)])).
% 1.51/0.97 thf(powersetAx, axiom, powersetAx =
% 1.51/0.97 (![A:$i,B:$i]:
% 1.51/0.97 ( ( in @ B @ ( powerset @ A ) ) <=>
% 1.51/0.97 ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) ))).
% 1.51/0.97 thf('15', plain,
% 1.51/0.97 (( powersetAx ) =
% 1.51/0.97 ( ![X4:$i,X6:$i]:
% 1.51/0.97 ( ( in @ X6 @ ( powerset @ X4 ) ) <=>
% 1.51/0.97 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) )),
% 1.51/0.97 define([status(thm)])).
% 1.51/0.97 thf(powersetTE1, conjecture,
% 1.51/0.97 (( setextAx ) =>
% 1.51/0.97 ( ( emptysetAx ) =>
% 1.51/0.97 ( ( setadjoinAx ) =>
% 1.51/0.97 ( ( powersetAx ) =>
% 1.51/0.97 ( ( setunionAx ) =>
% 1.51/0.97 ( ( omega0Ax ) =>
% 1.51/0.97 ( ( omegaSAx ) =>
% 1.51/0.97 ( ( omegaIndAx ) =>
% 1.51/0.97 ( ( replAx ) =>
% 1.51/0.97 ( ( foundationAx ) =>
% 1.51/0.97 ( ( wellorderingAx ) =>
% 1.51/0.97 ( ( descrp ) =>
% 1.51/0.97 ( ( dsetconstrI ) =>
% 1.51/0.97 ( ( dsetconstrEL ) =>
% 1.51/0.97 ( ( dsetconstrER ) =>
% 1.51/0.97 ( ( exuE1 ) =>
% 1.51/0.97 ( ( prop2setE ) =>
% 1.51/0.97 ( ( emptysetE ) =>
% 1.51/0.97 ( ( emptysetimpfalse ) =>
% 1.51/0.97 ( ( notinemptyset ) =>
% 1.51/0.97 ( ( exuE3e ) =>
% 1.51/0.97 ( ( setext ) =>
% 1.51/0.97 ( ( emptyI ) =>
% 1.51/0.97 ( ( noeltsimpempty ) =>
% 1.51/0.97 ( ( setbeta ) =>
% 1.51/0.97 ( ( nonemptyE1 ) =>
% 1.51/0.97 ( ( nonemptyI ) =>
% 1.51/0.97 ( ( nonemptyI1 ) =>
% 1.51/0.97 ( ( setadjoinIL ) =>
% 1.51/0.97 ( ( emptyinunitempty ) =>
% 1.51/0.97 ( ( setadjoinIR ) =>
% 1.51/0.97 ( ( setadjoinE ) =>
% 1.51/0.97 ( (
% 1.51/0.97 setadjoinOr ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setoftrueEq ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 powersetI ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 emptyinPowerset ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 emptyInPowerset ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 powersetE ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setunionI ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setunionE ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 subPowSU ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 exuE2 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 nonemptyImpWitness ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 uniqinunit ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 notinsingleton ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 eqinunit ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 singletonsswitch ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 upairsetE ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 upairsetIL ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 upairsetIR ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 emptyE1 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 vacuousDall ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 quantDeMorgan1 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 quantDeMorgan2 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 quantDeMorgan3 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 quantDeMorgan4 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 prop2setI ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 prop2set2propI ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 notdexE ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 notdallE ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 exuI1 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 exuI3 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 exuI2 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 inCongP ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 in__Cong ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 exuE3u ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 exu__Cong ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 emptyset__Cong ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setadjoin__Cong ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 powerset__Cong ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setunion__Cong ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 omega__Cong ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 exuEu ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 descr__Cong ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 dsetconstr__Cong ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 subsetI1 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 eqimpsubset2 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 eqimpsubset1 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 subsetI2 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 emptysetsubset ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 subsetE ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 subsetE2 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 notsubsetI ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 notequalI1 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 notequalI2 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 subsetRefl ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 subsetTrans ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setadjoinSub ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setadjoinSub2 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 subset2powerset ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setextsub ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 subsetemptysetimpeq ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 powersetI1 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 powersetE1 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 inPowerset ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 powersetsubset ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 sepInPowerset ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 sepSubset ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 binunionIL ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 upairset2IR ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 binunionIR ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 binunionEcases ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 binunionE ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 binunionLsub ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 binunionRsub ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 binintersectI ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 binintersectSubset5 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 binintersectEL ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 binintersectLsub ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 binintersectSubset2 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 binintersectSubset3 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 binintersectER ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 disjointsetsI1 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 binintersectRsub ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 binintersectSubset4 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 binintersectSubset1 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 bs114d ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setminusI ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setminusEL ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setminusER ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setminusSubset2 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setminusERneg ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setminusELneg ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setminusILneg ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setminusIRneg ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setminusLsub ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setminusSubset1 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 symdiffE ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 symdiffI1 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 symdiffI2 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 symdiffIneg1 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 symdiffIneg2 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 secondinupair ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setukpairIL ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setukpairIR ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 kpairiskpair ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 kpairp ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 singletonsubset ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 singletoninpowerset ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 singletoninpowunion ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 upairset2E ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 upairsubunion ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 upairinpowunion ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 ubforcartprodlem1 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 ubforcartprodlem2 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 ubforcartprodlem3 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 cartprodpairin ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 cartprodmempair1 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 cartprodmempair ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setunionE2 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setunionsingleton1 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setunionsingleton2 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setunionsingleton ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 singletonprop ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 ex1E1 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 ex1I ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 ex1I2 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 singletonsuniq ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setukpairinjL1 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 kfstsingleton ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 theprop ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 kfstpairEq ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 cartprodfstin ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setukpairinjL2 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setukpairinjL ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setukpairinjR11 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setukpairinjR12 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setukpairinjR1 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 upairequniteq ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setukpairinjR2 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setukpairinjR ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 ksndsingleton ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 ksndpairEq ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 kpairsurjEq ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 cartprodsndin ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 cartprodpairmemEL ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 cartprodpairmemER ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 cartprodmempaircEq ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 cartprodfstpairEq ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 cartprodsndpairEq ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 cartprodpairsurjEq ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 dpsetconstrI ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 dpsetconstrSub ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setOfPairsIsBReln ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 dpsetconstrERa ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 dpsetconstrEL1 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 dpsetconstrEL2 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 dpsetconstrER ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 funcImageSingleton ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 apProp ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 app ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 infuncsetfunc ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 ap2p ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 funcinfuncset ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 lamProp ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 lamp ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 lam2p ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 brelnall1 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 brelnall2 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 ex1E2 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 funcGraphProp1 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 funcGraphProp3 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 funcGraphProp2 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 funcextLem ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 funcGraphProp4 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 subbreln ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 eqbreln ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 funcext ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 funcext2 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 ap2apEq1 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 ap2apEq2 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 beta1 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 eta1 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 lam2lamEq ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 beta2 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 eta2 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 iffalseProp1 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 iffalseProp2 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 iftrueProp1 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 iftrueProp2 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 ifSingleton ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 ifp ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 theeq ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 iftrue ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 iffalse ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 iftrueorfalse ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 binintersectT_lem ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 binunionT_lem ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 powersetT_lem ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setminusT_lem ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 complementT_lem ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setextT ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 subsetTI ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 powersetTI1 ) =>
% 1.51/0.97 (
% 1.51/0.97 ![
% 1.51/0.97 A:$i,X:$i]:
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 in @
% 1.51/0.97 X @
% 1.51/0.97 (
% 1.51/0.97 powerset @
% 1.51/0.97 A ) ) =>
% 1.51/0.97 (
% 1.51/0.97 ![
% 1.51/0.97 Y:$i]:
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 in @
% 1.51/0.97 Y @
% 1.51/0.97 (
% 1.51/0.97 powerset @
% 1.51/0.97 A ) ) =>
% 1.51/0.97 (
% 1.51/0.97 ![
% 1.51/0.97 Xx:$i]:
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 in @
% 1.51/0.97 Xx @ A ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 in @
% 1.51/0.97 X @
% 1.51/0.97 (
% 1.51/0.97 powerset @
% 1.51/0.97 Y ) ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 in @
% 1.51/0.97 Xx @ X ) =>
% 1.51/0.97 (
% 1.51/0.97 in @
% 1.51/0.97 Xx @ Y ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 1.51/0.97 thf(zf_stmt_0, conjecture,
% 1.51/0.97 (( setextAx ) =>
% 1.51/0.97 ( ( emptysetAx ) =>
% 1.51/0.97 ( ( setadjoinAx ) =>
% 1.51/0.97 ( ( ![X4:$i,X6:$i]:
% 1.51/0.97 ( ( in @ X6 @ ( powerset @ X4 ) ) <=>
% 1.51/0.97 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) ) =>
% 1.51/0.97 ( ( setunionAx ) =>
% 1.51/0.97 ( ( omega0Ax ) =>
% 1.51/0.97 ( ( omegaSAx ) =>
% 1.51/0.97 ( ( omegaIndAx ) =>
% 1.51/0.97 ( ( replAx ) =>
% 1.51/0.97 ( ( foundationAx ) =>
% 1.51/0.97 ( ( wellorderingAx ) =>
% 1.51/0.97 ( ( descrp ) =>
% 1.51/0.97 ( ( dsetconstrI ) =>
% 1.51/0.97 ( ( dsetconstrEL ) =>
% 1.51/0.97 ( ( dsetconstrER ) =>
% 1.51/0.97 ( ( exuE1 ) =>
% 1.51/0.97 ( ( prop2setE ) =>
% 1.51/0.97 ( ( emptysetE ) =>
% 1.51/0.97 ( ( emptysetimpfalse ) =>
% 1.51/0.97 ( ( notinemptyset ) =>
% 1.51/0.97 ( ( exuE3e ) =>
% 1.51/0.97 ( ( setext ) =>
% 1.51/0.97 ( ( emptyI ) =>
% 1.51/0.97 ( ( noeltsimpempty ) =>
% 1.51/0.97 ( ( setbeta ) =>
% 1.51/0.97 ( ( nonemptyE1 ) =>
% 1.51/0.97 ( ( nonemptyI ) =>
% 1.51/0.97 ( ( nonemptyI1 ) =>
% 1.51/0.97 ( ( setadjoinIL ) =>
% 1.51/0.97 ( ( emptyinunitempty ) =>
% 1.51/0.97 ( ( setadjoinIR ) =>
% 1.51/0.97 ( ( setadjoinE ) =>
% 1.51/0.97 ( (
% 1.51/0.97 setadjoinOr ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setoftrueEq ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 ![
% 1.51/0.97 X10:$i,
% 1.51/0.97 X12:$i]:
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 ![
% 1.51/0.97 X14:$i]:
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 in @
% 1.51/0.97 X14 @ X12 ) =>
% 1.51/0.97 (
% 1.51/0.97 in @
% 1.51/0.97 X14 @ X10 ) ) ) =>
% 1.51/0.97 (
% 1.51/0.97 in @
% 1.51/0.97 X12 @
% 1.51/0.97 (
% 1.51/0.97 powerset @
% 1.51/0.97 X10 ) ) ) ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 ![
% 1.51/0.97 X16:$i]:
% 1.51/0.97 (
% 1.51/0.97 in @
% 1.51/0.97 emptyset @
% 1.51/0.97 (
% 1.51/0.97 powerset @
% 1.51/0.97 X16 ) ) ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 ![
% 1.51/0.97 X18:$i]:
% 1.51/0.97 (
% 1.51/0.97 in @
% 1.51/0.97 emptyset @
% 1.51/0.97 (
% 1.51/0.97 powerset @
% 1.51/0.97 X18 ) ) ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 ![
% 1.51/0.97 X20:$i,
% 1.51/0.97 X22:$i,
% 1.51/0.97 X24:$i]:
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 in @
% 1.51/0.97 X22 @
% 1.51/0.97 (
% 1.51/0.97 powerset @
% 1.51/0.97 X20 ) ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 in @
% 1.51/0.97 X24 @ X22 ) =>
% 1.51/0.97 (
% 1.51/0.97 in @
% 1.51/0.97 X24 @ X20 ) ) ) ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setunionI ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setunionE ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 subPowSU ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 exuE2 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 nonemptyImpWitness ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 uniqinunit ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 notinsingleton ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 eqinunit ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 singletonsswitch ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 upairsetE ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 upairsetIL ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 upairsetIR ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 emptyE1 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 vacuousDall ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 quantDeMorgan1 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 quantDeMorgan2 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 quantDeMorgan3 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 quantDeMorgan4 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 prop2setI ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 prop2set2propI ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 notdexE ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 notdallE ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 exuI1 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 exuI3 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 exuI2 ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 inCongP ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 in__Cong ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 exuE3u ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 exu__Cong ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 emptyset__Cong ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.97 setadjoin__Cong ) =>
% 1.51/0.97 (
% 1.51/0.97 (
% 1.51/0.98 ![
% 1.51/0.98 X26:$i,
% 1.51/0.98 X28:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 X26 ) =
% 1.51/0.98 (
% 1.51/0.98 X28 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X26 ) =
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X28 ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setunion__Cong ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 omega__Cong ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 exuEu ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 descr__Cong ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 dsetconstr__Cong ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subsetI1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 eqimpsubset2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 eqimpsubset1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subsetI2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 emptysetsubset ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subsetE ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subsetE2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 notsubsetI ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 notequalI1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 notequalI2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subsetRefl ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subsetTrans ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setadjoinSub ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setadjoinSub2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X30:$i,
% 1.51/0.98 X32:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subset @
% 1.51/0.98 X30 @ X32 ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X30 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X32 ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setextsub ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subsetemptysetimpeq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X34:$i,
% 1.51/0.98 X36:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subset @
% 1.51/0.98 X36 @ X34 ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X36 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X34 ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X38:$i,
% 1.51/0.98 X40:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X40 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X38 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 subset @
% 1.51/0.98 X40 @ X38 ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X42:$i]:
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X42 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X42 ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X44:$i,
% 1.51/0.98 X46:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subset @
% 1.51/0.98 X44 @ X46 ) =>
% 1.51/0.98 (
% 1.51/0.98 subset @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X44 ) @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X46 ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 sepInPowerset ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 sepSubset ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binunionIL ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 upairset2IR ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binunionIR ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binunionEcases ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binunionE ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binunionLsub ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binunionRsub ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectI ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectSubset5 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectEL ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectLsub ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectSubset2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectSubset3 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectER ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 disjointsetsI1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectRsub ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectSubset4 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectSubset1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 bs114d ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusI ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusEL ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusER ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusSubset2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusERneg ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusELneg ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusILneg ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusIRneg ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusLsub ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusSubset1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 symdiffE ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 symdiffI1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 symdiffI2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 symdiffIneg1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 symdiffIneg2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 secondinupair ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setukpairIL ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setukpairIR ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 kpairiskpair ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 kpairp ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 singletonsubset ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X48:$i,
% 1.51/0.98 X50:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X50 @ X48 ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 (
% 1.51/0.98 setadjoin
% 1.51/0.98 @
% 1.51/0.98 X50 @
% 1.51/0.98 emptyset ) @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X48 ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 singletoninpowunion ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 upairset2E ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 upairsubunion ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 upairinpowunion ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ubforcartprodlem1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ubforcartprodlem2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ubforcartprodlem3 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 cartprodpairin ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 cartprodmempair1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 cartprodmempair ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setunionE2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setunionsingleton1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setunionsingleton2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setunionsingleton ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 singletonprop ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ex1E1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ex1I ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ex1I2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 singletonsuniq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setukpairinjL1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 kfstsingleton ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 theprop ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 kfstpairEq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 cartprodfstin ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setukpairinjL2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setukpairinjL ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setukpairinjR11 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setukpairinjR12 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setukpairinjR1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 upairequniteq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setukpairinjR2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setukpairinjR ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ksndsingleton ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ksndpairEq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 kpairsurjEq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 cartprodsndin ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 cartprodpairmemEL ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 cartprodpairmemER ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 cartprodmempaircEq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 cartprodfstpairEq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 cartprodsndpairEq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 cartprodpairsurjEq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 dpsetconstrI ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 dpsetconstrSub ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setOfPairsIsBReln ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 dpsetconstrERa ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 dpsetconstrEL1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 dpsetconstrEL2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 dpsetconstrER ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 funcImageSingleton ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 apProp ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 app ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 infuncsetfunc ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ap2p ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 funcinfuncset ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 lamProp ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 lamp ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 lam2p ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 brelnall1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 brelnall2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ex1E2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 funcGraphProp1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 funcGraphProp3 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 funcGraphProp2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 funcextLem ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 funcGraphProp4 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subbreln ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 eqbreln ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 funcext ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 funcext2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ap2apEq1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ap2apEq2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 beta1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 eta1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 lam2lamEq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 beta2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 eta2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 iffalseProp1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 iffalseProp2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 iftrueProp1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 iftrueProp2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ifSingleton ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ifp ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 theeq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 iftrue ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 iffalse ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 iftrueorfalse ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectT_lem ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binunionT_lem ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X52:$i,
% 1.51/0.98 X54:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X54 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X52 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X54 ) @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X52 ) ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusT_lem ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 complementT_lem ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X56:$i,
% 1.51/0.98 X58:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X58 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X56 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X60:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X60 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X56 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X62:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X62 @ X56 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X62 @ X58 ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X62 @ X60 ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X64:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X64 @ X56 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X64 @ X60 ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X64 @ X58 ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 X58 ) =
% 1.51/0.98 (
% 1.51/0.98 X60 ) ) ) ) ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X66:$i,
% 1.51/0.98 X68:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X68 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X66 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X70:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X70 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X66 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X72:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X72 @ X66 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X72 @ X68 ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X72 @ X70 ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 subset @
% 1.51/0.98 X68 @ X70 ) ) ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X74:$i,
% 1.51/0.98 X76:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X76 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X74 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X78:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X78 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X74 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X80:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X80 @ X74 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X80 @ X76 ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X80 @ X78 ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X76 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X78 ) ) ) ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X82:$i,
% 1.51/0.98 X84:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X84 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X82 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X86:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X86 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X82 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X88:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X88 @ X82 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X84 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X86 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X88 @ X84 ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X88 @ X86 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 1.51/0.98 thf(zf_stmt_1, type, zip_tseitin_0 : $i > $i > $i > $o).
% 1.51/0.98 thf(zf_stmt_2, axiom,
% 1.51/0.98 (![X8:$i,X6:$i,X4:$i]:
% 1.51/0.98 ( ( zip_tseitin_0 @ X8 @ X6 @ X4 ) <=>
% 1.51/0.98 ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ))).
% 1.51/0.98 thf(zf_stmt_3, conjecture,
% 1.51/0.98 (( setextAx ) =>
% 1.51/0.98 ( ( emptysetAx ) =>
% 1.51/0.98 ( ( setadjoinAx ) =>
% 1.51/0.98 ( ( ![X4:$i,X6:$i]:
% 1.51/0.98 ( ( in @ X6 @ ( powerset @ X4 ) ) <=>
% 1.51/0.98 ( ![X8:$i]: ( zip_tseitin_0 @ X8 @ X6 @ X4 ) ) ) ) =>
% 1.51/0.98 ( ( setunionAx ) =>
% 1.51/0.98 ( ( omega0Ax ) =>
% 1.51/0.98 ( ( omegaSAx ) =>
% 1.51/0.98 ( ( omegaIndAx ) =>
% 1.51/0.98 ( ( replAx ) =>
% 1.51/0.98 ( ( foundationAx ) =>
% 1.51/0.98 ( ( wellorderingAx ) =>
% 1.51/0.98 ( ( descrp ) =>
% 1.51/0.98 ( ( dsetconstrI ) =>
% 1.51/0.98 ( ( dsetconstrEL ) =>
% 1.51/0.98 ( ( dsetconstrER ) =>
% 1.51/0.98 ( ( exuE1 ) =>
% 1.51/0.98 ( ( prop2setE ) =>
% 1.51/0.98 ( ( emptysetE ) =>
% 1.51/0.98 ( ( emptysetimpfalse ) =>
% 1.51/0.98 ( ( notinemptyset ) =>
% 1.51/0.98 ( ( exuE3e ) =>
% 1.51/0.98 ( ( setext ) =>
% 1.51/0.98 ( ( emptyI ) =>
% 1.51/0.98 ( ( noeltsimpempty ) =>
% 1.51/0.98 ( ( setbeta ) =>
% 1.51/0.98 ( ( nonemptyE1 ) =>
% 1.51/0.98 ( ( nonemptyI ) =>
% 1.51/0.98 ( ( nonemptyI1 ) =>
% 1.51/0.98 ( ( setadjoinIL ) =>
% 1.51/0.98 ( ( emptyinunitempty ) =>
% 1.51/0.98 ( ( setadjoinIR ) =>
% 1.51/0.98 ( ( setadjoinE ) =>
% 1.51/0.98 ( (
% 1.51/0.98 setadjoinOr ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setoftrueEq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X10:$i,
% 1.51/0.98 X12:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X14:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X14 @ X12 ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X14 @ X10 ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X12 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X10 ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X16:$i]:
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 emptyset @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X16 ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X18:$i]:
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 emptyset @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X18 ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X20:$i,
% 1.51/0.98 X22:$i,
% 1.51/0.98 X24:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X22 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X20 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X24 @ X22 ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X24 @ X20 ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setunionI ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setunionE ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subPowSU ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 exuE2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 nonemptyImpWitness ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 uniqinunit ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 notinsingleton ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 eqinunit ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 singletonsswitch ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 upairsetE ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 upairsetIL ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 upairsetIR ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 emptyE1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 vacuousDall ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 quantDeMorgan1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 quantDeMorgan2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 quantDeMorgan3 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 quantDeMorgan4 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 prop2setI ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 prop2set2propI ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 notdexE ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 notdallE ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 exuI1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 exuI3 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 exuI2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 inCongP ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in__Cong ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 exuE3u ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 exu__Cong ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 emptyset__Cong ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setadjoin__Cong ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X26:$i,
% 1.51/0.98 X28:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 X26 ) =
% 1.51/0.98 (
% 1.51/0.98 X28 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X26 ) =
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X28 ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setunion__Cong ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 omega__Cong ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 exuEu ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 descr__Cong ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 dsetconstr__Cong ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subsetI1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 eqimpsubset2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 eqimpsubset1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subsetI2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 emptysetsubset ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subsetE ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subsetE2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 notsubsetI ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 notequalI1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 notequalI2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subsetRefl ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subsetTrans ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setadjoinSub ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setadjoinSub2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X30:$i,
% 1.51/0.98 X32:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subset @
% 1.51/0.98 X30 @ X32 ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X30 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X32 ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setextsub ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subsetemptysetimpeq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X34:$i,
% 1.51/0.98 X36:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subset @
% 1.51/0.98 X36 @ X34 ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X36 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X34 ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X38:$i,
% 1.51/0.98 X40:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X40 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X38 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 subset @
% 1.51/0.98 X40 @ X38 ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X42:$i]:
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X42 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X42 ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X44:$i,
% 1.51/0.98 X46:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subset @
% 1.51/0.98 X44 @ X46 ) =>
% 1.51/0.98 (
% 1.51/0.98 subset @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X44 ) @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X46 ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 sepInPowerset ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 sepSubset ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binunionIL ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 upairset2IR ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binunionIR ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binunionEcases ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binunionE ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binunionLsub ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binunionRsub ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectI ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectSubset5 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectEL ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectLsub ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectSubset2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectSubset3 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectER ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 disjointsetsI1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectRsub ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectSubset4 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectSubset1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 bs114d ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusI ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusEL ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusER ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusSubset2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusERneg ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusELneg ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusILneg ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusIRneg ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusLsub ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusSubset1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 symdiffE ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 symdiffI1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 symdiffI2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 symdiffIneg1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 symdiffIneg2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 secondinupair ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setukpairIL ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setukpairIR ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 kpairiskpair ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 kpairp ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 singletonsubset ) =>
% 1.51/0.98 (
% 1.51/0.98 (
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% 1.51/0.98 (
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% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 (
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% 1.51/0.98 @
% 1.51/0.98 X50 @
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% 1.51/0.98 (
% 1.51/0.98 (
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% 1.51/0.98 (
% 1.51/0.98 (
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% 1.51/0.98 (
% 1.51/0.98 (
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% 1.51/0.98 (
% 1.51/0.98 (
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% 1.51/0.98 (
% 1.51/0.98 (
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% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ubforcartprodlem2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
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% 1.51/0.98 (
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% 1.51/0.98 (
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% 1.51/0.98 (
% 1.51/0.98 (
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% 1.51/0.98 (
% 1.51/0.98 (
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% 1.51/0.98 (
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% 1.51/0.98 (
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% 1.51/0.98 (
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% 1.51/0.98 (
% 1.51/0.98 (
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% 1.51/0.98 (
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% 1.51/0.98 (
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% 1.51/0.98 (
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% 1.51/0.98 (
% 1.51/0.98 (
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% 1.51/0.98 (
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% 1.51/0.98 (
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% 1.51/0.98 (
% 1.51/0.98 (
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% 1.51/0.98 (
% 1.51/0.98 (
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% 1.51/0.98 (
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% 1.51/0.98 (
% 1.51/0.98 (
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% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 cartprodpairmemER ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 cartprodmempaircEq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 cartprodfstpairEq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 cartprodsndpairEq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 cartprodpairsurjEq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 dpsetconstrI ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 dpsetconstrSub ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setOfPairsIsBReln ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 dpsetconstrERa ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 dpsetconstrEL1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 dpsetconstrEL2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 dpsetconstrER ) =>
% 1.51/0.98 (
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% 1.51/0.98 app ) =>
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% 1.51/0.98 (
% 1.51/0.98 infuncsetfunc ) =>
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% 1.51/0.98 (
% 1.51/0.98 ap2p ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 funcinfuncset ) =>
% 1.51/0.98 (
% 1.51/0.98 (
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% 1.51/0.98 (
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% 1.51/0.98 (
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% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 brelnall1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 brelnall2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
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% 1.51/0.98 (
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% 1.51/0.98 (
% 1.51/0.98 (
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% 1.51/0.98 (
% 1.51/0.98 (
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% 1.51/0.98 (
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% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 eqbreln ) =>
% 1.51/0.98 (
% 1.51/0.98 (
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% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 funcext2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
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% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ap2apEq2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 beta1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 eta1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 lam2lamEq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 beta2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 eta2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 iffalseProp1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 iffalseProp2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 iftrueProp1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 iftrueProp2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
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% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ifp ) =>
% 1.51/0.98 (
% 1.51/0.98 (
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% 1.51/0.98 (
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% 1.51/0.98 (
% 1.51/0.98 (
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% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 iftrueorfalse ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectT_lem ) =>
% 1.51/0.98 (
% 1.51/0.98 (
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% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X52:$i,
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% 1.51/0.98 (
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% 1.51/0.98 in @
% 1.51/0.98 X54 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X52 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X54 ) @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X52 ) ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusT_lem ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 complementT_lem ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X56:$i,
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% 1.51/0.98 (
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% 1.51/0.98 in @
% 1.51/0.98 X58 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
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% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X60:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X60 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X56 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X62:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X62 @ X56 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X62 @ X58 ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X62 @ X60 ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X64:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
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% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X64 @ X60 ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X64 @ X58 ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 X58 ) =
% 1.51/0.98 (
% 1.51/0.98 X60 ) ) ) ) ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X66:$i,
% 1.51/0.98 X68:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X68 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X66 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X70:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X70 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X66 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X72:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
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% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X72 @ X68 ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X72 @ X70 ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 subset @
% 1.51/0.98 X68 @ X70 ) ) ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X74:$i,
% 1.51/0.98 X76:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X76 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X74 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X78:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X78 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X74 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X80:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X80 @ X74 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X80 @ X76 ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X80 @ X78 ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X76 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X78 ) ) ) ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X82:$i,
% 1.51/0.98 X84:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X84 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X82 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X86:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X86 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X82 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X88:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X88 @ X82 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X84 @
% 1.51/0.98 (
% 1.51/0.98 powerset @
% 1.51/0.98 X86 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X88 @ X84 ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X88 @ X86 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 1.51/0.98 thf(zf_stmt_4, negated_conjecture,
% 1.51/0.98 (~( ( setextAx ) =>
% 1.51/0.98 ( ( emptysetAx ) =>
% 1.51/0.98 ( ( setadjoinAx ) =>
% 1.51/0.98 ( ( ![X4:$i,X6:$i]:
% 1.51/0.98 ( ( in @ X6 @ ( powerset @ X4 ) ) <=>
% 1.51/0.98 ( ![X8:$i]: ( zip_tseitin_0 @ X8 @ X6 @ X4 ) ) ) ) =>
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% 1.51/0.98 ( ( omega0Ax ) =>
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% 1.51/0.98 ( ( omegaIndAx ) =>
% 1.51/0.98 ( ( replAx ) =>
% 1.51/0.98 ( ( foundationAx ) =>
% 1.51/0.98 ( ( wellorderingAx ) =>
% 1.51/0.98 ( ( descrp ) =>
% 1.51/0.98 ( ( dsetconstrI ) =>
% 1.51/0.98 ( ( dsetconstrEL ) =>
% 1.51/0.98 ( ( dsetconstrER ) =>
% 1.51/0.98 ( ( exuE1 ) =>
% 1.51/0.98 ( ( prop2setE ) =>
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% 1.51/0.98 ( ( noeltsimpempty ) =>
% 1.51/0.98 ( ( setbeta ) =>
% 1.51/0.98 ( ( nonemptyE1 ) =>
% 1.51/0.98 ( ( nonemptyI ) =>
% 1.51/0.98 ( ( nonemptyI1 ) =>
% 1.51/0.98 ( ( setadjoinIL ) =>
% 1.51/0.98 ( ( emptyinunitempty ) =>
% 1.51/0.98 ( ( setadjoinIR ) =>
% 1.51/0.98 ( (
% 1.51/0.98 setadjoinE ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setadjoinOr ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setoftrueEq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X10:$i,
% 1.51/0.98 X12:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X14:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X14 @ X12 ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X14 @ X10 ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X12 @
% 1.51/0.98 (
% 1.51/0.98 powerset
% 1.51/0.98 @
% 1.51/0.98 X10 ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X16:$i]:
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 emptyset @
% 1.51/0.98 (
% 1.51/0.98 powerset
% 1.51/0.98 @
% 1.51/0.98 X16 ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X18:$i]:
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 emptyset @
% 1.51/0.98 (
% 1.51/0.98 powerset
% 1.51/0.98 @
% 1.51/0.98 X18 ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X20:$i,
% 1.51/0.98 X22:$i,
% 1.51/0.98 X24:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X22 @
% 1.51/0.98 (
% 1.51/0.98 powerset
% 1.51/0.98 @
% 1.51/0.98 X20 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X24 @ X22 ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X24 @ X20 ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setunionI ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setunionE ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subPowSU ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 exuE2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 nonemptyImpWitness ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 uniqinunit ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 notinsingleton ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 eqinunit ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 singletonsswitch ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 upairsetE ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 upairsetIL ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 upairsetIR ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 emptyE1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 vacuousDall ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 quantDeMorgan1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 quantDeMorgan2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 quantDeMorgan3 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 quantDeMorgan4 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 prop2setI ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 prop2set2propI ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 notdexE ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 notdallE ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 exuI1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 exuI3 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 exuI2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 inCongP ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in__Cong ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 exuE3u ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 exu__Cong ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 emptyset__Cong ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setadjoin__Cong ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X26:$i,
% 1.51/0.98 X28:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 X26 ) =
% 1.51/0.98 (
% 1.51/0.98 X28 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 powerset
% 1.51/0.98 @
% 1.51/0.98 X26 ) =
% 1.51/0.98 (
% 1.51/0.98 powerset
% 1.51/0.98 @
% 1.51/0.98 X28 ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setunion__Cong ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 omega__Cong ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 exuEu ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 descr__Cong ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 dsetconstr__Cong ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subsetI1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 eqimpsubset2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 eqimpsubset1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subsetI2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 emptysetsubset ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subsetE ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subsetE2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 notsubsetI ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 notequalI1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 notequalI2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subsetRefl ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subsetTrans ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setadjoinSub ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setadjoinSub2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X30:$i,
% 1.51/0.98 X32:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subset @
% 1.51/0.98 X30 @ X32 ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X30 @
% 1.51/0.98 (
% 1.51/0.98 powerset
% 1.51/0.98 @
% 1.51/0.98 X32 ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setextsub ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subsetemptysetimpeq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X34:$i,
% 1.51/0.98 X36:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subset @
% 1.51/0.98 X36 @ X34 ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X36 @
% 1.51/0.98 (
% 1.51/0.98 powerset
% 1.51/0.98 @
% 1.51/0.98 X34 ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X38:$i,
% 1.51/0.98 X40:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X40 @
% 1.51/0.98 (
% 1.51/0.98 powerset
% 1.51/0.98 @
% 1.51/0.98 X38 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 subset @
% 1.51/0.98 X40 @ X38 ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X42:$i]:
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X42 @
% 1.51/0.98 (
% 1.51/0.98 powerset
% 1.51/0.98 @
% 1.51/0.98 X42 ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X44:$i,
% 1.51/0.98 X46:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subset @
% 1.51/0.98 X44 @ X46 ) =>
% 1.51/0.98 (
% 1.51/0.98 subset @
% 1.51/0.98 (
% 1.51/0.98 powerset
% 1.51/0.98 @
% 1.51/0.98 X44 ) @
% 1.51/0.98 (
% 1.51/0.98 powerset
% 1.51/0.98 @
% 1.51/0.98 X46 ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 sepInPowerset ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 sepSubset ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binunionIL ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 upairset2IR ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binunionIR ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binunionEcases ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binunionE ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binunionLsub ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binunionRsub ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectI ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectSubset5 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectEL ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectLsub ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectSubset2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectSubset3 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectER ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 disjointsetsI1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectRsub ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectSubset4 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectSubset1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 bs114d ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusI ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusEL ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusER ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusSubset2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusERneg ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusELneg ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusILneg ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusIRneg ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusLsub ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusSubset1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 symdiffE ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 symdiffI1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 symdiffI2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 symdiffIneg1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 symdiffIneg2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 secondinupair ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setukpairIL ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setukpairIR ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 kpairiskpair ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 kpairp ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 singletonsubset ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X48:$i,
% 1.51/0.98 X50:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X50 @ X48 ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 (
% 1.51/0.98 setadjoin
% 1.51/0.98 @
% 1.51/0.98 X50 @
% 1.51/0.98 emptyset ) @
% 1.51/0.98 (
% 1.51/0.98 powerset
% 1.51/0.98 @
% 1.51/0.98 X48 ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 singletoninpowunion ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 upairset2E ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 upairsubunion ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 upairinpowunion ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ubforcartprodlem1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ubforcartprodlem2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ubforcartprodlem3 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 cartprodpairin ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 cartprodmempair1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 cartprodmempair ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setunionE2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setunionsingleton1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setunionsingleton2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setunionsingleton ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 singletonprop ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ex1E1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ex1I ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ex1I2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 singletonsuniq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setukpairinjL1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 kfstsingleton ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 theprop ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 kfstpairEq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 cartprodfstin ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setukpairinjL2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setukpairinjL ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setukpairinjR11 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setukpairinjR12 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setukpairinjR1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 upairequniteq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setukpairinjR2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setukpairinjR ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ksndsingleton ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ksndpairEq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 kpairsurjEq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 cartprodsndin ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 cartprodpairmemEL ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 cartprodpairmemER ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 cartprodmempaircEq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 cartprodfstpairEq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 cartprodsndpairEq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 cartprodpairsurjEq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 dpsetconstrI ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 dpsetconstrSub ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setOfPairsIsBReln ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 dpsetconstrERa ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 dpsetconstrEL1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 dpsetconstrEL2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 dpsetconstrER ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 funcImageSingleton ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 apProp ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 app ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 infuncsetfunc ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ap2p ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 funcinfuncset ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 lamProp ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 lamp ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 lam2p ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 brelnall1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 brelnall2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ex1E2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 funcGraphProp1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 funcGraphProp3 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 funcGraphProp2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 funcextLem ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 funcGraphProp4 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 subbreln ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 eqbreln ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 funcext ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 funcext2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ap2apEq1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ap2apEq2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 beta1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 eta1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 lam2lamEq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 beta2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 eta2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 iffalseProp1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 iffalseProp2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 iftrueProp1 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 iftrueProp2 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ifSingleton ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ifp ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 theeq ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 iftrue ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 iffalse ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 iftrueorfalse ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binintersectT_lem ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 binunionT_lem ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X52:$i,
% 1.51/0.98 X54:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X54 @
% 1.51/0.98 (
% 1.51/0.98 powerset
% 1.51/0.98 @
% 1.51/0.98 X52 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 (
% 1.51/0.98 powerset
% 1.51/0.98 @
% 1.51/0.98 X54 ) @
% 1.51/0.98 (
% 1.51/0.98 powerset
% 1.51/0.98 @
% 1.51/0.98 (
% 1.51/0.98 powerset
% 1.51/0.98 @
% 1.51/0.98 X52 ) ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 setminusT_lem ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 complementT_lem ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X56:$i,
% 1.51/0.98 X58:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X58 @
% 1.51/0.98 (
% 1.51/0.98 powerset
% 1.51/0.98 @
% 1.51/0.98 X56 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X60:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X60 @
% 1.51/0.98 (
% 1.51/0.98 powerset
% 1.51/0.98 @
% 1.51/0.98 X56 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X62:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X62 @ X56 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X62 @ X58 ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X62 @ X60 ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X64:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X64 @ X56 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X64 @ X60 ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X64 @ X58 ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 X58 ) =
% 1.51/0.98 (
% 1.51/0.98 X60 ) ) ) ) ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X66:$i,
% 1.51/0.98 X68:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X68 @
% 1.51/0.98 (
% 1.51/0.98 powerset
% 1.51/0.98 @
% 1.51/0.98 X66 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X70:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X70 @
% 1.51/0.98 (
% 1.51/0.98 powerset
% 1.51/0.98 @
% 1.51/0.98 X66 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X72:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X72 @ X66 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X72 @ X68 ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X72 @ X70 ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 subset @
% 1.51/0.98 X68 @ X70 ) ) ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X74:$i,
% 1.51/0.98 X76:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X76 @
% 1.51/0.98 (
% 1.51/0.98 powerset
% 1.51/0.98 @
% 1.51/0.98 X74 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X78:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X78 @
% 1.51/0.98 (
% 1.51/0.98 powerset
% 1.51/0.98 @
% 1.51/0.98 X74 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X80:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X80 @ X74 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X80 @ X76 ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X80 @ X78 ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X76 @
% 1.51/0.98 (
% 1.51/0.98 powerset
% 1.51/0.98 @
% 1.51/0.98 X78 ) ) ) ) ) ) ) =>
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X82:$i,
% 1.51/0.98 X84:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X84 @
% 1.51/0.98 (
% 1.51/0.98 powerset
% 1.51/0.98 @
% 1.51/0.98 X82 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X86:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X86 @
% 1.51/0.98 (
% 1.51/0.98 powerset
% 1.51/0.98 @
% 1.51/0.98 X82 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 ![
% 1.51/0.98 X88:$i]:
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X88 @ X82 ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X84 @
% 1.51/0.98 (
% 1.51/0.98 powerset
% 1.51/0.98 @
% 1.51/0.98 X86 ) ) =>
% 1.51/0.98 (
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X88 @ X84 ) =>
% 1.51/0.98 (
% 1.51/0.98 in @
% 1.51/0.98 X88 @ X86 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )),
% 1.51/0.98 inference('cnf.neg', [status(esa)], [zf_stmt_3])).
% 1.51/0.98 thf(zip_derived_cl124, plain, ( (in @ sk__45 @ (powerset @ sk__46))),
% 1.51/0.98 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.51/0.98 thf(zip_derived_cl237, plain,
% 1.51/0.98 (![X27 : $i, X28 : $i, X29 : $i]:
% 1.51/0.98 (~ (in @ X27 @ (powerset @ X28))
% 1.51/0.98 | (in @ X29 @ X28)
% 1.51/0.98 | ~ (in @ X29 @ X27))),
% 1.51/0.98 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.51/0.98 thf(zip_derived_cl309, plain,
% 1.51/0.98 (![X0 : $i]: (~ (in @ X0 @ sk__45) | (in @ X0 @ sk__46))),
% 1.51/0.98 inference('sup-', [status(thm)], [zip_derived_cl124, zip_derived_cl237])).
% 1.51/0.98 thf(zip_derived_cl125, plain, (~ (in @ sk__47 @ sk__46)),
% 1.51/0.98 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.51/0.98 thf(zip_derived_cl362, plain, (~ (in @ sk__47 @ sk__45)),
% 1.51/0.98 inference('sup-', [status(thm)], [zip_derived_cl309, zip_derived_cl125])).
% 1.51/0.98 thf(zip_derived_cl126, plain, ( (in @ sk__47 @ sk__45)),
% 1.51/0.98 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.51/0.98 thf(zip_derived_cl372, plain, ($false),
% 1.51/0.98 inference('demod', [status(thm)], [zip_derived_cl362, zip_derived_cl126])).
% 1.51/0.98
% 1.51/0.98 % SZS output end Refutation
% 1.51/0.98
% 1.51/0.98
% 1.51/0.98 % Terminating...
% 1.84/1.11 % Runner terminated.
% 1.88/1.14 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------