%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU724^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tASJing4Fb true
% Computer : n004.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 04:55:58 PM UTC 2025
% Result : Theorem 0.60s 0.94s
% Output : Refutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU724^1 : TPTP v9.2.0. Released v3.7.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tASJing4Fb true
% 0.15/0.35 % Computer : n004.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Oct 1 16:02:38 EDT 2025
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in HO mode
% 0.58/0.68 % Total configuration time : 828
% 0.58/0.68 % Estimated wc time : 1656
% 0.58/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.60/0.83 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.60/0.94 % Solved by lams/40_c_ic.sh.
% 0.60/0.94 % done 256 iterations in 0.104s
% 0.60/0.94 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.60/0.94 % SZS output start Refutation
% 0.60/0.94 thf(setadjoinAx_type, type, setadjoinAx: $o).
% 0.60/0.94 thf(notdexE_type, type, notdexE: $o).
% 0.60/0.94 thf(setukpairinjL2_type, type, setukpairinjL2: $o).
% 0.60/0.94 thf(setunionAx_type, type, setunionAx: $o).
% 0.60/0.94 thf(setminusELneg_type, type, setminusELneg: $o).
% 0.60/0.94 thf(cartprodsndin_type, type, cartprodsndin: $o).
% 0.60/0.94 thf(ex1E1_type, type, ex1E1: $o).
% 0.60/0.94 thf(powersetE_type, type, powersetE: $o).
% 0.60/0.94 thf(omegaSAx_type, type, omegaSAx: $o).
% 0.60/0.94 thf(exuI1_type, type, exuI1: $o).
% 0.60/0.94 thf(exuI2_type, type, exuI2: $o).
% 0.60/0.94 thf(notequalI2_type, type, notequalI2: $o).
% 0.60/0.94 thf(setukpairinjL_type, type, setukpairinjL: $o).
% 0.60/0.94 thf(kpairiskpair_type, type, kpairiskpair: $o).
% 0.60/0.94 thf(upairsubunion_type, type, upairsubunion: $o).
% 0.60/0.94 thf(funcGraphProp3_type, type, funcGraphProp3: $o).
% 0.60/0.94 thf(cartprodmempaircEq_type, type, cartprodmempaircEq: $o).
% 0.60/0.94 thf(binintersectTERcontra_type, type, binintersectTERcontra: $o).
% 0.60/0.94 thf(powerset__Cong_type, type, powerset__Cong: $o).
% 0.60/0.94 thf(setminusILneg_type, type, setminusILneg: $o).
% 0.60/0.94 thf(wellorderingAx_type, type, wellorderingAx: $o).
% 0.60/0.94 thf(ksndpairEq_type, type, ksndpairEq: $o).
% 0.60/0.94 thf(funcGraphProp2_type, type, funcGraphProp2: $o).
% 0.60/0.94 thf(setadjoinSub2_type, type, setadjoinSub2: $o).
% 0.60/0.94 thf(binintersectSubset5_type, type, binintersectSubset5: $o).
% 0.60/0.94 thf(iftrue_type, type, iftrue: $o).
% 0.60/0.94 thf(upairinpowunion_type, type, upairinpowunion: $o).
% 0.60/0.94 thf(ifSingleton_type, type, ifSingleton: $o).
% 0.60/0.94 thf(setoftrueEq_type, type, setoftrueEq: $o).
% 0.60/0.94 thf(funcImageSingleton_type, type, funcImageSingleton: $o).
% 0.60/0.94 thf(dpsetconstrERa_type, type, dpsetconstrERa: $o).
% 0.60/0.94 thf(lamProp_type, type, lamProp: $o).
% 0.60/0.94 thf(cartprodpairmemEL_type, type, cartprodpairmemEL: $o).
% 0.60/0.94 thf(emptyset__Cong_type, type, emptyset__Cong: $o).
% 0.60/0.94 thf(dpsetconstrER_type, type, dpsetconstrER: $o).
% 0.60/0.94 thf(sepInPowerset_type, type, sepInPowerset: $o).
% 0.60/0.94 thf(setukpairIR_type, type, setukpairIR: $o).
% 0.60/0.94 thf(setukpairinjR1_type, type, setukpairinjR1: $o).
% 0.60/0.94 thf(lam2p_type, type, lam2p: $o).
% 0.60/0.94 thf(binunionE_type, type, binunionE: $o).
% 0.60/0.94 thf(setext_type, type, setext: $o).
% 0.60/0.94 thf(emptyinPowerset_type, type, emptyinPowerset: $o).
% 0.60/0.94 thf(ubforcartprodlem1_type, type, ubforcartprodlem1: $o).
% 0.60/0.94 thf(descr__Cong_type, type, descr__Cong: $o).
% 0.60/0.94 thf(kfstsingleton_type, type, kfstsingleton: $o).
% 0.60/0.94 thf(binintersectTELcontra_type, type, binintersectTELcontra: $o).
% 0.60/0.94 thf(eqbreln_type, type, eqbreln: $o).
% 0.60/0.94 thf(binintersectSubset1_type, type, binintersectSubset1: $o).
% 0.60/0.94 thf(in_type, type, in: $i > $i > $o).
% 0.60/0.94 thf(binunionT_lem_type, type, binunionT_lem: $o).
% 0.60/0.94 thf(quantDeMorgan1_type, type, quantDeMorgan1: $o).
% 0.60/0.94 thf(complementT_lem_type, type, complementT_lem: $o).
% 0.60/0.94 thf(kpairsurjEq_type, type, kpairsurjEq: $o).
% 0.60/0.94 thf(setadjoinIR_type, type, setadjoinIR: $o).
% 0.60/0.94 thf(beta1_type, type, beta1: $o).
% 0.60/0.94 thf(setadjoin__Cong_type, type, setadjoin__Cong: $o).
% 0.60/0.94 thf(powersetTE1_type, type, powersetTE1: $o).
% 0.60/0.94 thf(symdiffI2_type, type, symdiffI2: $o).
% 0.60/0.94 thf(iftrueProp2_type, type, iftrueProp2: $o).
% 0.60/0.94 thf(upairset2IR_type, type, upairset2IR: $o).
% 0.60/0.94 thf(iffalseProp2_type, type, iffalseProp2: $o).
% 0.60/0.94 thf(subsetE_type, type, subsetE: $o).
% 0.60/0.94 thf(prop2set2propI_type, type, prop2set2propI: $o).
% 0.60/0.94 thf(dsetconstrEL_type, type, dsetconstrEL: $o).
% 0.60/0.94 thf(setbeta_type, type, setbeta: $o).
% 0.60/0.94 thf(eqinunit_type, type, eqinunit: $o).
% 0.60/0.94 thf(upairsetIL_type, type, upairsetIL: $o).
% 0.60/0.94 thf(powersetI1_type, type, powersetI1: $o).
% 0.60/0.94 thf(kfstpairEq_type, type, kfstpairEq: $o).
% 0.60/0.94 thf(binintersectSubset3_type, type, binintersectSubset3: $o).
% 0.60/0.94 thf(setminusIRneg_type, type, setminusIRneg: $o).
% 0.60/0.94 thf(ap2apEq1_type, type, ap2apEq1: $o).
% 0.60/0.94 thf(powersetAx_type, type, powersetAx: $o).
% 0.60/0.94 thf(binintersectSubset4_type, type, binintersectSubset4: $o).
% 0.60/0.94 thf(singletoninpowunion_type, type, singletoninpowunion: $o).
% 0.60/0.94 thf(powersetI_type, type, powersetI: $o).
% 0.60/0.94 thf(cartprodmempair_type, type, cartprodmempair: $o).
% 0.60/0.94 thf(upairsetIR_type, type, upairsetIR: $o).
% 0.60/0.94 thf(lamp_type, type, lamp: $o).
% 0.60/0.94 thf(dpsetconstrEL1_type, type, dpsetconstrEL1: $o).
% 0.60/0.94 thf(inCongP_type, type, inCongP: $o).
% 0.60/0.94 thf(setadjoinSub_type, type, setadjoinSub: $o).
% 0.60/0.94 thf(exuE3e_type, type, exuE3e: $o).
% 0.60/0.94 thf(emptysetE_type, type, emptysetE: $o).
% 0.60/0.94 thf(binintersectSubset2_type, type, binintersectSubset2: $o).
% 0.60/0.94 thf(setunionI_type, type, setunionI: $o).
% 0.60/0.94 thf(setunion__Cong_type, type, setunion__Cong: $o).
% 0.60/0.94 thf(prop2setI_type, type, prop2setI: $o).
% 0.60/0.94 thf(singletonsuniq_type, type, singletonsuniq: $o).
% 0.60/0.94 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o).
% 0.60/0.94 thf(setminusER_type, type, setminusER: $o).
% 0.60/0.94 thf(exuE2_type, type, exuE2: $o).
% 0.60/0.94 thf(emptyset_type, type, emptyset: $i).
% 0.60/0.94 thf(setukpairinjR11_type, type, setukpairinjR11: $o).
% 0.60/0.94 thf(ex1I_type, type, ex1I: $o).
% 0.60/0.94 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o).
% 0.60/0.94 thf(ex1E2_type, type, ex1E2: $o).
% 0.60/0.94 thf(setukpairinjL1_type, type, setukpairinjL1: $o).
% 0.60/0.94 thf(powersetsubset_type, type, powersetsubset: $o).
% 0.60/0.94 thf(subPowSU_type, type, subPowSU: $o).
% 0.60/0.94 thf(notequalI1_type, type, notequalI1: $o).
% 0.60/0.94 thf(contrasubsetT_type, type, contrasubsetT: $o).
% 0.60/0.94 thf(notinemptyset_type, type, notinemptyset: $o).
% 0.60/0.94 thf(lam2lamEq_type, type, lam2lamEq: $o).
% 0.60/0.94 thf(nonemptyI1_type, type, nonemptyI1: $o).
% 0.60/0.94 thf(subsetTrans_type, type, subsetTrans: $o).
% 0.60/0.94 thf(kpairp_type, type, kpairp: $o).
% 0.60/0.94 thf(setukpairinjR12_type, type, setukpairinjR12: $o).
% 0.60/0.94 thf(setminusI_type, type, setminusI: $o).
% 0.60/0.94 thf(binunionIL_type, type, binunionIL: $o).
% 0.60/0.94 thf(dpsetconstrSub_type, type, dpsetconstrSub: $o).
% 0.60/0.94 thf(setunionsingleton_type, type, setunionsingleton: $o).
% 0.60/0.94 thf(subsetE2_type, type, subsetE2: $o).
% 0.60/0.94 thf(singletonsswitch_type, type, singletonsswitch: $o).
% 0.60/0.94 thf(ubforcartprodlem3_type, type, ubforcartprodlem3: $o).
% 0.60/0.94 thf(beta2_type, type, beta2: $o).
% 0.60/0.94 thf(dpsetconstrI_type, type, dpsetconstrI: $o).
% 0.60/0.94 thf(setextsub_type, type, setextsub: $o).
% 0.60/0.94 thf(binunionLsub_type, type, binunionLsub: $o).
% 0.60/0.94 thf(setunionsingleton1_type, type, setunionsingleton1: $o).
% 0.60/0.94 thf(iftrueorfalse_type, type, iftrueorfalse: $o).
% 0.60/0.94 thf(emptysetsubset_type, type, emptysetsubset: $o).
% 0.60/0.94 thf(quantDeMorgan3_type, type, quantDeMorgan3: $o).
% 0.60/0.94 thf(cartprodpairsurjEq_type, type, cartprodpairsurjEq: $o).
% 0.60/0.94 thf(setOfPairsIsBReln_type, type, setOfPairsIsBReln: $o).
% 0.60/0.94 thf(setunionE_type, type, setunionE: $o).
% 0.60/0.94 thf(ksndsingleton_type, type, ksndsingleton: $o).
% 0.60/0.94 thf(setminusSubset1_type, type, setminusSubset1: $o).
% 0.60/0.94 thf(powersetT_lem_type, type, powersetT_lem: $o).
% 0.60/0.94 thf(emptyinunitempty_type, type, emptyinunitempty: $o).
% 0.60/0.94 thf(binunionIR_type, type, binunionIR: $o).
% 0.60/0.94 thf(theeq_type, type, theeq: $o).
% 0.60/0.94 thf(setadjoinE_type, type, setadjoinE: $o).
% 0.60/0.94 thf(infuncsetfunc_type, type, infuncsetfunc: $o).
% 0.60/0.94 thf(ap2apEq2_type, type, ap2apEq2: $o).
% 0.60/0.94 thf(ap2p_type, type, ap2p: $o).
% 0.60/0.94 thf(setadjoinIL_type, type, setadjoinIL: $o).
% 0.60/0.94 thf(cartprodsndpairEq_type, type, cartprodsndpairEq: $o).
% 0.60/0.94 thf(exuE1_type, type, exuE1: $o).
% 0.60/0.94 thf(ubforcartprodlem2_type, type, ubforcartprodlem2: $o).
% 0.60/0.94 thf(binintersectRsub_type, type, binintersectRsub: $o).
% 0.60/0.94 thf(sk__88_type, type, sk__88: $i).
% 0.60/0.94 thf(setminusLsub_type, type, setminusLsub: $o).
% 0.60/0.94 thf(funcextLem_type, type, funcextLem: $o).
% 0.60/0.94 thf(setukpairinjR_type, type, setukpairinjR: $o).
% 0.60/0.94 thf(notinsingleton_type, type, notinsingleton: $o).
% 0.60/0.94 thf(eqimpsubset2_type, type, eqimpsubset2: $o).
% 0.60/0.94 thf(exuEu_type, type, exuEu: $o).
% 0.60/0.94 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o).
% 0.60/0.94 thf(upairsetE_type, type, upairsetE: $o).
% 0.60/0.94 thf(omega0Ax_type, type, omega0Ax: $o).
% 0.60/0.94 thf(subsetTI_type, type, subsetTI: $o).
% 0.60/0.94 thf(notsubsetI_type, type, notsubsetI: $o).
% 0.60/0.94 thf(iffalseProp1_type, type, iffalseProp1: $o).
% 0.60/0.94 thf(quantDeMorgan4_type, type, quantDeMorgan4: $o).
% 0.60/0.94 thf(setextAx_type, type, setextAx: $o).
% 0.60/0.94 thf(cartprodpairmemER_type, type, cartprodpairmemER: $o).
% 0.60/0.94 thf(powersetE1_type, type, powersetE1: $o).
% 0.60/0.94 thf(bs114d_type, type, bs114d: $o).
% 0.60/0.94 thf(noeltsimpempty_type, type, noeltsimpempty: $o).
% 0.60/0.94 thf(ifp_type, type, ifp: $o).
% 0.60/0.94 thf(powersetTI1_type, type, powersetTI1: $o).
% 0.60/0.94 thf(binintersectLsub_type, type, binintersectLsub: $o).
% 0.60/0.94 thf(subsetI1_type, type, subsetI1: $o).
% 0.60/0.94 thf(symdiffE_type, type, symdiffE: $o).
% 0.60/0.94 thf(descrp_type, type, descrp: $o).
% 0.60/0.94 thf(sk__86_type, type, sk__86: $i).
% 0.60/0.94 thf(dsetconstr__Cong_type, type, dsetconstr__Cong: $o).
% 0.60/0.94 thf(foundationAx_type, type, foundationAx: $o).
% 0.60/0.94 thf(emptysetAx_type, type, emptysetAx: $o).
% 0.60/0.94 thf(emptyI_type, type, emptyI: $o).
% 0.60/0.94 thf(setadjoinOr_type, type, setadjoinOr: $o).
% 0.60/0.94 thf(eta2_type, type, eta2: $o).
% 0.60/0.94 thf(binintersectEL_type, type, binintersectEL: $o).
% 0.60/0.94 thf(emptyE1_type, type, emptyE1: $o).
% 0.60/0.94 thf(emptyInPowerset_type, type, emptyInPowerset: $o).
% 0.60/0.94 thf(complementTI1_type, type, complementTI1: $o).
% 0.60/0.94 thf(vacuousDall_type, type, vacuousDall: $o).
% 0.60/0.94 thf(dsetconstrER_type, type, dsetconstrER: $o).
% 0.60/0.94 thf(binintersectI_type, type, binintersectI: $o).
% 0.60/0.94 thf(funcext_type, type, funcext: $o).
% 0.60/0.94 thf(funcGraphProp4_type, type, funcGraphProp4: $o).
% 0.60/0.94 thf(cartprodpairin_type, type, cartprodpairin: $o).
% 0.60/0.94 thf(cartprodmempair1_type, type, cartprodmempair1: $o).
% 0.60/0.94 thf(brelnall2_type, type, brelnall2: $o).
% 0.60/0.94 thf(setextT_type, type, setextT: $o).
% 0.60/0.94 thf(ex1I2_type, type, ex1I2: $o).
% 0.60/0.94 thf(symdiffI1_type, type, symdiffI1: $o).
% 0.60/0.94 thf(setukpairinjR2_type, type, setukpairinjR2: $o).
% 0.60/0.94 thf(dpsetconstrEL2_type, type, dpsetconstrEL2: $o).
% 0.60/0.94 thf(theprop_type, type, theprop: $o).
% 0.60/0.94 thf(subsetI2_type, type, subsetI2: $o).
% 0.60/0.94 thf(setminusT_lem_type, type, setminusT_lem: $o).
% 0.60/0.94 thf(symdiffIneg1_type, type, symdiffIneg1: $o).
% 0.60/0.94 thf(setminusERneg_type, type, setminusERneg: $o).
% 0.60/0.94 thf(symdiffIneg2_type, type, symdiffIneg2: $o).
% 0.60/0.94 thf(omega__Cong_type, type, omega__Cong: $o).
% 0.60/0.94 thf(subsetRefl_type, type, subsetRefl: $o).
% 0.60/0.94 thf(uniqinunit_type, type, uniqinunit: $o).
% 0.60/0.94 thf(sk__87_type, type, sk__87: $i).
% 0.60/0.94 thf(setminusSubset2_type, type, setminusSubset2: $o).
% 0.60/0.94 thf(prop2setE_type, type, prop2setE: $o).
% 0.60/0.94 thf(binunionEcases_type, type, binunionEcases: $o).
% 0.60/0.94 thf(funcinfuncset_type, type, funcinfuncset: $o).
% 0.60/0.94 thf(complementTE1_type, type, complementTE1: $o).
% 0.60/0.94 thf(nonemptyI_type, type, nonemptyI: $o).
% 0.60/0.94 thf(app_type, type, app: $o).
% 0.60/0.94 thf(disjointsetsI1_type, type, disjointsetsI1: $o).
% 0.60/0.94 thf(exuE3u_type, type, exuE3u: $o).
% 0.60/0.94 thf(eta1_type, type, eta1: $o).
% 0.60/0.94 thf(setminusEL_type, type, setminusEL: $o).
% 0.60/0.94 thf(cartprodfstin_type, type, cartprodfstin: $o).
% 0.60/0.94 thf(setunionsingleton2_type, type, setunionsingleton2: $o).
% 0.60/0.94 thf(sepSubset_type, type, sepSubset: $o).
% 0.60/0.94 thf(upairset2E_type, type, upairset2E: $o).
% 0.60/0.94 thf(eqimpsubset1_type, type, eqimpsubset1: $o).
% 0.60/0.94 thf(exuI3_type, type, exuI3: $o).
% 0.60/0.94 thf(cartprodfstpairEq_type, type, cartprodfstpairEq: $o).
% 0.60/0.94 thf(apProp_type, type, apProp: $o).
% 0.60/0.94 thf(notdallE_type, type, notdallE: $o).
% 0.60/0.94 thf(iftrueProp1_type, type, iftrueProp1: $o).
% 0.60/0.94 thf(binintersectER_type, type, binintersectER: $o).
% 0.60/0.94 thf(brelnall1_type, type, brelnall1: $o).
% 0.60/0.94 thf(powerset_type, type, powerset: $i > $i).
% 0.60/0.94 thf(dsetconstrI_type, type, dsetconstrI: $o).
% 0.60/0.94 thf(funcGraphProp1_type, type, funcGraphProp1: $o).
% 0.60/0.94 thf(binintersectT_lem_type, type, binintersectT_lem: $o).
% 0.60/0.94 thf(setadjoin_type, type, setadjoin: $i > $i > $i).
% 0.60/0.94 thf(exu__Cong_type, type, exu__Cong: $o).
% 0.60/0.94 thf(quantDeMorgan2_type, type, quantDeMorgan2: $o).
% 0.60/0.94 thf(secondinupair_type, type, secondinupair: $o).
% 0.60/0.94 thf(singletonprop_type, type, singletonprop: $o).
% 0.60/0.94 thf(singletonsubset_type, type, singletonsubset: $o).
% 0.60/0.94 thf(singletoninpowerset_type, type, singletoninpowerset: $o).
% 0.60/0.94 thf(subsetemptysetimpeq_type, type, subsetemptysetimpeq: $o).
% 0.60/0.94 thf(replAx_type, type, replAx: $o).
% 0.60/0.94 thf(upairequniteq_type, type, upairequniteq: $o).
% 0.60/0.94 thf(nonemptyE1_type, type, nonemptyE1: $o).
% 0.60/0.94 thf(omegaIndAx_type, type, omegaIndAx: $o).
% 0.60/0.94 thf(setukpairIL_type, type, setukpairIL: $o).
% 0.60/0.94 thf(setunionE2_type, type, setunionE2: $o).
% 0.60/0.94 thf(inPowerset_type, type, inPowerset: $o).
% 0.60/0.94 thf(iffalse_type, type, iffalse: $o).
% 0.60/0.94 thf(funcext2_type, type, funcext2: $o).
% 0.60/0.94 thf(subset_type, type, subset: $i > $i > $o).
% 0.60/0.94 thf(subbreln_type, type, subbreln: $o).
% 0.60/0.94 thf(in__Cong_type, type, in__Cong: $o).
% 0.60/0.94 thf(binunionRsub_type, type, binunionRsub: $o).
% 0.60/0.94 thf(subset2powerset_type, type, subset2powerset: $o).
% 0.60/0.94 thf(powersetTE1, axiom, powersetTE1 =
% 0.60/0.94 (![A:$i,X:$i]:
% 0.60/0.94 ( ( in @ X @ ( powerset @ A ) ) =>
% 0.60/0.94 ( ![Y:$i]:
% 0.60/0.94 ( ( in @ Y @ ( powerset @ A ) ) =>
% 0.60/0.94 ( ![Xx:$i]:
% 0.60/0.94 ( ( in @ Xx @ A ) =>
% 0.60/0.94 ( ( in @ X @ ( powerset @ Y ) ) =>
% 0.60/0.94 ( ( in @ Xx @ X ) => ( in @ Xx @ Y ) ) ) ) ) ) ) ))).
% 0.60/0.94 thf('0', plain,
% 0.60/0.94 (( powersetTE1 ) =
% 0.60/0.94 ( ![X4:$i,X6:$i]:
% 0.60/0.94 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.60/0.94 ( ![X8:$i]:
% 0.60/0.94 ( ( in @ X8 @ ( powerset @ X4 ) ) =>
% 0.60/0.94 ( ![X10:$i]:
% 0.60/0.94 ( ( in @ X10 @ X4 ) =>
% 0.60/0.94 ( ( in @ X6 @ ( powerset @ X8 ) ) =>
% 0.60/0.94 ( ( in @ X10 @ X6 ) => ( in @ X10 @ X8 ) ) ) ) ) ) ) ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(powersetTI1, axiom, powersetTI1 =
% 0.60/0.94 (![A:$i,X:$i]:
% 0.60/0.94 ( ( in @ X @ ( powerset @ A ) ) =>
% 0.60/0.94 ( ![Y:$i]:
% 0.60/0.94 ( ( in @ Y @ ( powerset @ A ) ) =>
% 0.60/0.94 ( ( ![Xx:$i]:
% 0.60/0.94 ( ( in @ Xx @ A ) => ( ( in @ Xx @ X ) => ( in @ Xx @ Y ) ) ) ) =>
% 0.60/0.94 ( in @ X @ ( powerset @ Y ) ) ) ) ) ))).
% 0.60/0.94 thf('1', plain,
% 0.60/0.94 (( powersetTI1 ) =
% 0.60/0.94 ( ![X4:$i,X6:$i]:
% 0.60/0.94 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.60/0.94 ( ![X8:$i]:
% 0.60/0.94 ( ( in @ X8 @ ( powerset @ X4 ) ) =>
% 0.60/0.94 ( ( ![X10:$i]:
% 0.60/0.94 ( ( in @ X10 @ X4 ) =>
% 0.60/0.94 ( ( in @ X10 @ X6 ) => ( in @ X10 @ X8 ) ) ) ) =>
% 0.60/0.94 ( in @ X6 @ ( powerset @ X8 ) ) ) ) ) ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(subsetTI, axiom, subsetTI =
% 0.60/0.94 (![A:$i,X:$i]:
% 0.60/0.94 ( ( in @ X @ ( powerset @ A ) ) =>
% 0.60/0.94 ( ![Y:$i]:
% 0.60/0.94 ( ( in @ Y @ ( powerset @ A ) ) =>
% 0.60/0.94 ( ( ![Xx:$i]:
% 0.60/0.94 ( ( in @ Xx @ A ) => ( ( in @ Xx @ X ) => ( in @ Xx @ Y ) ) ) ) =>
% 0.60/0.94 ( subset @ X @ Y ) ) ) ) ))).
% 0.60/0.94 thf('2', plain,
% 0.60/0.94 (( subsetTI ) =
% 0.60/0.94 ( ![X4:$i,X6:$i]:
% 0.60/0.94 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.60/0.94 ( ![X8:$i]:
% 0.60/0.94 ( ( in @ X8 @ ( powerset @ X4 ) ) =>
% 0.60/0.94 ( ( ![X10:$i]:
% 0.60/0.94 ( ( in @ X10 @ X4 ) =>
% 0.60/0.94 ( ( in @ X10 @ X6 ) => ( in @ X10 @ X8 ) ) ) ) =>
% 0.60/0.94 ( subset @ X6 @ X8 ) ) ) ) ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(setextT, axiom, setextT =
% 0.60/0.94 (![A:$i,X:$i]:
% 0.60/0.94 ( ( in @ X @ ( powerset @ A ) ) =>
% 0.60/0.94 ( ![Y:$i]:
% 0.60/0.94 ( ( in @ Y @ ( powerset @ A ) ) =>
% 0.60/0.94 ( ( ![Xx:$i]:
% 0.60/0.94 ( ( in @ Xx @ A ) => ( ( in @ Xx @ X ) => ( in @ Xx @ Y ) ) ) ) =>
% 0.60/0.94 ( ( ![Xx:$i]:
% 0.60/0.94 ( ( in @ Xx @ A ) => ( ( in @ Xx @ Y ) => ( in @ Xx @ X ) ) ) ) =>
% 0.60/0.94 ( ( X ) = ( Y ) ) ) ) ) ) ))).
% 0.60/0.94 thf('3', plain,
% 0.60/0.94 (( setextT ) =
% 0.60/0.94 ( ![X4:$i,X6:$i]:
% 0.60/0.94 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.60/0.94 ( ![X8:$i]:
% 0.60/0.94 ( ( in @ X8 @ ( powerset @ X4 ) ) =>
% 0.60/0.94 ( ( ![X10:$i]:
% 0.60/0.94 ( ( in @ X10 @ X4 ) =>
% 0.60/0.94 ( ( in @ X10 @ X6 ) => ( in @ X10 @ X8 ) ) ) ) =>
% 0.60/0.94 ( ( ![X12:$i]:
% 0.60/0.94 ( ( in @ X12 @ X4 ) =>
% 0.60/0.94 ( ( in @ X12 @ X8 ) => ( in @ X12 @ X6 ) ) ) ) =>
% 0.60/0.94 ( ( X6 ) = ( X8 ) ) ) ) ) ) ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(powersetT_lem, axiom, powersetT_lem =
% 0.60/0.94 (![A:$i,X:$i]:
% 0.60/0.94 ( ( in @ X @ ( powerset @ A ) ) =>
% 0.60/0.94 ( in @ ( powerset @ X ) @ ( powerset @ ( powerset @ A ) ) ) ))).
% 0.60/0.94 thf('4', plain,
% 0.60/0.94 (( powersetT_lem ) =
% 0.60/0.94 ( ![X4:$i,X6:$i]:
% 0.60/0.94 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.60/0.94 ( in @ ( powerset @ X6 ) @ ( powerset @ ( powerset @ X4 ) ) ) ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(singletoninpowerset, axiom, singletoninpowerset =
% 0.60/0.94 (![A:$i,Xx:$i]:
% 0.60/0.94 ( ( in @ Xx @ A ) =>
% 0.60/0.94 ( in @ ( setadjoin @ Xx @ emptyset ) @ ( powerset @ A ) ) ))).
% 0.60/0.94 thf('5', plain,
% 0.60/0.94 (( singletoninpowerset ) =
% 0.60/0.94 ( ![X4:$i,X6:$i]:
% 0.60/0.94 ( ( in @ X6 @ X4 ) =>
% 0.60/0.94 ( in @ ( setadjoin @ X6 @ emptyset ) @ ( powerset @ X4 ) ) ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(singletonsubset, axiom, singletonsubset =
% 0.60/0.94 (![A:$i,Xx:$i]:
% 0.60/0.94 ( ( in @ Xx @ A ) => ( subset @ ( setadjoin @ Xx @ emptyset ) @ A ) ))).
% 0.60/0.94 thf('6', plain,
% 0.60/0.94 (( singletonsubset ) =
% 0.60/0.94 ( ![X4:$i,X6:$i]:
% 0.60/0.94 ( ( in @ X6 @ X4 ) => ( subset @ ( setadjoin @ X6 @ emptyset ) @ X4 ) ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(powersetsubset, axiom, powersetsubset =
% 0.60/0.94 (![A:$i,B:$i]:
% 0.60/0.94 ( ( subset @ A @ B ) => ( subset @ ( powerset @ A ) @ ( powerset @ B ) ) ))).
% 0.60/0.94 thf('7', plain,
% 0.60/0.94 (( powersetsubset ) =
% 0.60/0.94 ( ![X4:$i,X6:$i]:
% 0.60/0.94 ( ( subset @ X4 @ X6 ) =>
% 0.60/0.94 ( subset @ ( powerset @ X4 ) @ ( powerset @ X6 ) ) ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(inPowerset, axiom, inPowerset = (![A:$i]: ( in @ A @ ( powerset @ A ) ))).
% 0.60/0.94 thf('8', plain,
% 0.60/0.94 (( inPowerset ) = ( ![X4:$i]: ( in @ X4 @ ( powerset @ X4 ) ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(powersetE1, axiom, powersetE1 =
% 0.60/0.94 (![A:$i,B:$i]: ( ( in @ B @ ( powerset @ A ) ) => ( subset @ B @ A ) ))).
% 0.60/0.94 thf('9', plain,
% 0.60/0.94 (( powersetE1 ) =
% 0.60/0.94 ( ![X4:$i,X6:$i]:
% 0.60/0.94 ( ( in @ X6 @ ( powerset @ X4 ) ) => ( subset @ X6 @ X4 ) ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(powersetI1, axiom, powersetI1 =
% 0.60/0.94 (![A:$i,B:$i]: ( ( subset @ B @ A ) => ( in @ B @ ( powerset @ A ) ) ))).
% 0.60/0.94 thf('10', plain,
% 0.60/0.94 (( powersetI1 ) =
% 0.60/0.94 ( ![X4:$i,X6:$i]:
% 0.60/0.94 ( ( subset @ X6 @ X4 ) => ( in @ X6 @ ( powerset @ X4 ) ) ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(subsetemptysetimpeq, axiom, subsetemptysetimpeq =
% 0.60/0.94 (![A:$i]: ( ( subset @ A @ emptyset ) => ( ( A ) = ( emptyset ) ) ))).
% 0.60/0.94 thf('11', plain,
% 0.60/0.94 (( subsetemptysetimpeq ) =
% 0.60/0.94 ( ![X4:$i]: ( ( subset @ X4 @ emptyset ) => ( ( X4 ) = ( emptyset ) ) ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(setextsub, axiom, setextsub =
% 0.60/0.94 (![A:$i,B:$i]:
% 0.60/0.94 ( ( subset @ A @ B ) => ( ( subset @ B @ A ) => ( ( A ) = ( B ) ) ) ))).
% 0.60/0.94 thf('12', plain,
% 0.60/0.94 (( setextsub ) =
% 0.60/0.94 ( ![X4:$i,X6:$i]:
% 0.60/0.94 ( ( subset @ X4 @ X6 ) =>
% 0.60/0.94 ( ( subset @ X6 @ X4 ) => ( ( X4 ) = ( X6 ) ) ) ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(subset2powerset, axiom, subset2powerset =
% 0.60/0.94 (![A:$i,B:$i]: ( ( subset @ A @ B ) => ( in @ A @ ( powerset @ B ) ) ))).
% 0.60/0.94 thf('13', plain,
% 0.60/0.94 (( subset2powerset ) =
% 0.60/0.94 ( ![X4:$i,X6:$i]:
% 0.60/0.94 ( ( subset @ X4 @ X6 ) => ( in @ X4 @ ( powerset @ X6 ) ) ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(setadjoinSub2, axiom, setadjoinSub2 =
% 0.60/0.94 (![A:$i,Xx:$i,B:$i]:
% 0.60/0.94 ( ( subset @ A @ B ) => ( subset @ A @ ( setadjoin @ Xx @ B ) ) ))).
% 0.60/0.94 thf('14', plain,
% 0.60/0.94 (( setadjoinSub2 ) =
% 0.60/0.94 ( ![X4:$i,X6:$i,X8:$i]:
% 0.60/0.94 ( ( subset @ X4 @ X8 ) => ( subset @ X4 @ ( setadjoin @ X6 @ X8 ) ) ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(setadjoinSub, axiom, setadjoinSub =
% 0.60/0.94 (![Xx:$i,A:$i]: ( subset @ A @ ( setadjoin @ Xx @ A ) ))).
% 0.60/0.94 thf('15', plain,
% 0.60/0.94 (( setadjoinSub ) =
% 0.60/0.94 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( setadjoin @ X4 @ X6 ) ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(subsetTrans, axiom, subsetTrans =
% 0.60/0.94 (![A:$i,B:$i,C:$i]:
% 0.60/0.94 ( ( subset @ A @ B ) => ( ( subset @ B @ C ) => ( subset @ A @ C ) ) ))).
% 0.60/0.94 thf('16', plain,
% 0.60/0.94 (( subsetTrans ) =
% 0.60/0.94 ( ![X4:$i,X6:$i,X8:$i]:
% 0.60/0.94 ( ( subset @ X4 @ X6 ) =>
% 0.60/0.94 ( ( subset @ X6 @ X8 ) => ( subset @ X4 @ X8 ) ) ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(subsetRefl, axiom, subsetRefl = (![A:$i]: ( subset @ A @ A ))).
% 0.60/0.94 thf('17', plain, (( subsetRefl ) = ( ![X4:$i]: ( subset @ X4 @ X4 ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(notequalI1, axiom, notequalI1 =
% 0.60/0.94 (![A:$i,B:$i]: ( ( ~( subset @ A @ B ) ) => ( ( A ) != ( B ) ) ))).
% 0.60/0.94 thf('18', plain,
% 0.60/0.94 (( notequalI1 ) =
% 0.60/0.94 ( ![X4:$i,X6:$i]: ( ( ~( subset @ X4 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(notsubsetI, axiom, notsubsetI =
% 0.60/0.94 (![A:$i,B:$i,Xx:$i]:
% 0.60/0.94 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ~( subset @ A @ B ) ) ) ))).
% 0.60/0.94 thf('19', plain,
% 0.60/0.94 (( notsubsetI ) =
% 0.60/0.94 ( ![X4:$i,X6:$i,X8:$i]:
% 0.60/0.94 ( ( in @ X8 @ X4 ) =>
% 0.60/0.94 ( ( ~( in @ X8 @ X6 ) ) => ( ~( subset @ X4 @ X6 ) ) ) ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(subsetE2, axiom, subsetE2 =
% 0.60/0.94 (![A:$i,B:$i,Xx:$i]:
% 0.60/0.94 ( ( subset @ A @ B ) => ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))).
% 0.60/0.94 thf('20', plain,
% 0.60/0.94 (( subsetE2 ) =
% 0.60/0.94 ( ![X4:$i,X6:$i,X8:$i]:
% 0.60/0.94 ( ( subset @ X4 @ X6 ) =>
% 0.60/0.94 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(subsetE, axiom, subsetE =
% 0.60/0.94 (![A:$i,B:$i,Xx:$i]:
% 0.60/0.94 ( ( subset @ A @ B ) => ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))).
% 0.60/0.94 thf('21', plain,
% 0.60/0.94 (( subsetE ) =
% 0.60/0.94 ( ![X4:$i,X6:$i,X8:$i]:
% 0.60/0.94 ( ( subset @ X4 @ X6 ) => ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(emptysetsubset, axiom, emptysetsubset =
% 0.60/0.94 (![A:$i]: ( subset @ emptyset @ A ))).
% 0.60/0.94 thf('22', plain,
% 0.60/0.94 (( emptysetsubset ) = ( ![X4:$i]: ( subset @ emptyset @ X4 ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(subsetI2, axiom, subsetI2 =
% 0.60/0.94 (![A:$i,B:$i]:
% 0.60/0.94 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) =>
% 0.60/0.94 ( subset @ A @ B ) ))).
% 0.60/0.94 thf('23', plain,
% 0.60/0.94 (( subsetI2 ) =
% 0.60/0.94 ( ![X4:$i,X6:$i]:
% 0.60/0.94 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) =>
% 0.60/0.94 ( subset @ X4 @ X6 ) ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(eqimpsubset1, axiom, eqimpsubset1 =
% 0.60/0.94 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ A @ B ) ))).
% 0.60/0.94 thf('24', plain,
% 0.60/0.94 (( eqimpsubset1 ) =
% 0.60/0.94 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X4 @ X6 ) ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(eqimpsubset2, axiom, eqimpsubset2 =
% 0.60/0.94 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ B @ A ) ))).
% 0.60/0.94 thf('25', plain,
% 0.60/0.94 (( eqimpsubset2 ) =
% 0.60/0.94 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X6 @ X4 ) ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(subsetI1, axiom, subsetI1 =
% 0.60/0.94 (![A:$i,B:$i]:
% 0.60/0.94 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) =>
% 0.60/0.94 ( subset @ A @ B ) ))).
% 0.60/0.94 thf('26', plain,
% 0.60/0.94 (( subsetI1 ) =
% 0.60/0.94 ( ![X4:$i,X6:$i]:
% 0.60/0.94 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) =>
% 0.60/0.94 ( subset @ X4 @ X6 ) ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(powerset__Cong, axiom, powerset__Cong =
% 0.60/0.94 (![A:$i,B:$i]:
% 0.60/0.94 ( ( ( A ) = ( B ) ) => ( ( powerset @ A ) = ( powerset @ B ) ) ))).
% 0.60/0.94 thf('27', plain,
% 0.60/0.94 (( powerset__Cong ) =
% 0.60/0.94 ( ![X4:$i,X6:$i]:
% 0.60/0.94 ( ( ( X4 ) = ( X6 ) ) => ( ( powerset @ X4 ) = ( powerset @ X6 ) ) ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(powersetE, axiom, powersetE =
% 0.60/0.94 (![A:$i,B:$i,Xx:$i]:
% 0.60/0.94 ( ( in @ B @ ( powerset @ A ) ) => ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ))).
% 0.60/0.94 thf('28', plain,
% 0.60/0.94 (( powersetE ) =
% 0.60/0.94 ( ![X4:$i,X6:$i,X8:$i]:
% 0.60/0.94 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.60/0.94 ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(emptyInPowerset, axiom, emptyInPowerset =
% 0.60/0.94 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))).
% 0.60/0.94 thf('29', plain,
% 0.60/0.94 (( emptyInPowerset ) =
% 0.60/0.94 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(emptyinPowerset, axiom, emptyinPowerset =
% 0.60/0.94 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))).
% 0.60/0.94 thf('30', plain,
% 0.60/0.94 (( emptyinPowerset ) =
% 0.60/0.94 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(powersetI, axiom, powersetI =
% 0.60/0.94 (![A:$i,B:$i]:
% 0.60/0.94 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) =>
% 0.60/0.94 ( in @ B @ ( powerset @ A ) ) ))).
% 0.60/0.94 thf('31', plain,
% 0.60/0.94 (( powersetI ) =
% 0.60/0.94 ( ![X4:$i,X6:$i]:
% 0.60/0.94 ( ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) =>
% 0.60/0.94 ( in @ X6 @ ( powerset @ X4 ) ) ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(powersetAx, axiom, powersetAx =
% 0.60/0.94 (![A:$i,B:$i]:
% 0.60/0.94 ( ( in @ B @ ( powerset @ A ) ) <=>
% 0.60/0.94 ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) ))).
% 0.60/0.94 thf('32', plain,
% 0.60/0.94 (( powersetAx ) =
% 0.60/0.94 ( ![X4:$i,X6:$i]:
% 0.60/0.94 ( ( in @ X6 @ ( powerset @ X4 ) ) <=>
% 0.60/0.94 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) )),
% 0.60/0.94 define([status(thm)])).
% 0.60/0.94 thf(contrasubsetT1, conjecture,
% 0.60/0.94 (( setextAx ) =>
% 0.60/0.94 ( ( emptysetAx ) =>
% 0.60/0.94 ( ( setadjoinAx ) =>
% 0.60/0.94 ( ( powersetAx ) =>
% 0.60/0.94 ( ( setunionAx ) =>
% 0.60/0.94 ( ( omega0Ax ) =>
% 0.60/0.94 ( ( omegaSAx ) =>
% 0.60/0.94 ( ( omegaIndAx ) =>
% 0.60/0.94 ( ( replAx ) =>
% 0.60/0.94 ( ( foundationAx ) =>
% 0.60/0.94 ( ( wellorderingAx ) =>
% 0.60/0.94 ( ( descrp ) =>
% 0.60/0.94 ( ( dsetconstrI ) =>
% 0.60/0.94 ( ( dsetconstrEL ) =>
% 0.60/0.94 ( ( dsetconstrER ) =>
% 0.60/0.94 ( ( exuE1 ) =>
% 0.60/0.94 ( ( prop2setE ) =>
% 0.60/0.94 ( ( emptysetE ) =>
% 0.60/0.94 ( ( emptysetimpfalse ) =>
% 0.60/0.94 ( ( notinemptyset ) =>
% 0.60/0.94 ( ( exuE3e ) =>
% 0.60/0.94 ( ( setext ) =>
% 0.60/0.94 ( ( emptyI ) =>
% 0.60/0.94 ( ( noeltsimpempty ) =>
% 0.60/0.94 ( ( setbeta ) =>
% 0.60/0.94 ( ( nonemptyE1 ) =>
% 0.60/0.94 ( ( nonemptyI ) =>
% 0.60/0.94 ( ( nonemptyI1 ) =>
% 0.60/0.94 ( ( setadjoinIL ) =>
% 0.60/0.94 ( ( emptyinunitempty ) =>
% 0.60/0.94 ( ( setadjoinIR ) =>
% 0.60/0.94 ( ( setadjoinE ) =>
% 0.60/0.94 ( (
% 0.60/0.94 setadjoinOr ) =>
% 0.60/0.94 (
% 0.60/0.94 (
% 0.60/0.94 setoftrueEq ) =>
% 0.60/0.94 (
% 0.60/0.94 (
% 0.60/0.94 powersetI ) =>
% 0.60/0.94 (
% 0.60/0.95 (
% 0.60/0.95 emptyinPowerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 emptyInPowerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powersetE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunionI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunionE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subPowSU ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuE2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 nonemptyImpWitness ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 uniqinunit ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notinsingleton ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 eqinunit ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletonsswitch ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsetE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsetIL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsetIR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 emptyE1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 vacuousDall ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan4 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 prop2setI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 prop2set2propI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notdexE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notdallE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuI3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuI2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 inCongP ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuE3u ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exu__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 emptyset__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setadjoin__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powerset__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunion__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 omega__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuEu ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 descr__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dsetconstr__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 eqimpsubset2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 eqimpsubset1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetI2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 emptysetsubset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetE2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notsubsetI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notequalI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notequalI2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetRefl ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetTrans ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setadjoinSub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setadjoinSub2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset2powerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setextsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetemptysetimpeq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powersetI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powersetE1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 inPowerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powersetsubset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 sepInPowerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 sepSubset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionIL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairset2IR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionIR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionEcases ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionLsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionRsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset5 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectEL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectLsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectER ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 disjointsetsI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectRsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset4 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 bs114d ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusEL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusER ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusSubset2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusERneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusELneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusILneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusIRneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusLsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusSubset1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffI2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffIneg1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffIneg2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 secondinupair ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairIL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairIR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 kpairiskpair ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 kpairp ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletonsubset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletoninpowerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletoninpowunion ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairset2E ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsubunion ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairinpowunion ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ubforcartprodlem1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ubforcartprodlem2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ubforcartprodlem3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodpairin ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodmempair1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodmempair ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunionE2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunionsingleton1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunionsingleton2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunionsingleton ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletonprop ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ex1E1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ex1I ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ex1I2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletonsuniq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjL1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 kfstsingleton ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 theprop ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 kfstpairEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodfstin ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjL2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjR11 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjR12 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjR1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairequniteq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjR2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ksndsingleton ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ksndpairEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 kpairsurjEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodsndin ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodpairmemEL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodpairmemER ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodmempaircEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodfstpairEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodsndpairEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodpairsurjEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dpsetconstrI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dpsetconstrSub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setOfPairsIsBReln ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dpsetconstrERa ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dpsetconstrEL1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dpsetconstrEL2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dpsetconstrER ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcImageSingleton ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 apProp ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 app ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 infuncsetfunc ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ap2p ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcinfuncset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 lamProp ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 lamp ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 lam2p ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 brelnall1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 brelnall2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ex1E2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcGraphProp1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcGraphProp3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcGraphProp2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcextLem ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcGraphProp4 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subbreln ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 eqbreln ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcext ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcext2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ap2apEq1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ap2apEq2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 beta1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 eta1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 lam2lamEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 beta2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 eta2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 iffalseProp1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 iffalseProp2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 iftrueProp1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 iftrueProp2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ifSingleton ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ifp ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 theeq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 iftrue ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 iffalse ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 iftrueorfalse ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectT_lem ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionT_lem ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powersetT_lem ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusT_lem ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 complementT_lem ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setextT ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subsetTI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powersetTI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powersetTE1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 complementTI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 complementTE1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectTELcontra ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectTERcontra ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 contrasubsetT ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 A:$i,X:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 A ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 Y:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 Y @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 A ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 Xx:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 Xx @ A ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X @ Y ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ~(
% 0.60/0.95 in @
% 0.60/0.95 Xx @ Y ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ~(
% 0.60/0.95 in @
% 0.60/0.95 Xx @ X ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.60/0.95 thf(zf_stmt_0, conjecture,
% 0.60/0.95 (( setextAx ) =>
% 0.60/0.95 ( ( emptysetAx ) =>
% 0.60/0.95 ( ( setadjoinAx ) =>
% 0.60/0.95 ( ( ![X4:$i,X6:$i]:
% 0.60/0.95 ( ( in @ X6 @ ( powerset @ X4 ) ) <=>
% 0.60/0.95 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) ) =>
% 0.60/0.95 ( ( setunionAx ) =>
% 0.60/0.95 ( ( omega0Ax ) =>
% 0.60/0.95 ( ( omegaSAx ) =>
% 0.60/0.95 ( ( omegaIndAx ) =>
% 0.60/0.95 ( ( replAx ) =>
% 0.60/0.95 ( ( foundationAx ) =>
% 0.60/0.95 ( ( wellorderingAx ) =>
% 0.60/0.95 ( ( descrp ) =>
% 0.60/0.95 ( ( dsetconstrI ) =>
% 0.60/0.95 ( ( dsetconstrEL ) =>
% 0.60/0.95 ( ( dsetconstrER ) =>
% 0.60/0.95 ( ( exuE1 ) =>
% 0.60/0.95 ( ( prop2setE ) =>
% 0.60/0.95 ( ( emptysetE ) =>
% 0.60/0.95 ( ( emptysetimpfalse ) =>
% 0.60/0.95 ( ( notinemptyset ) =>
% 0.60/0.95 ( ( exuE3e ) =>
% 0.60/0.95 ( ( setext ) =>
% 0.60/0.95 ( ( emptyI ) =>
% 0.60/0.95 ( ( noeltsimpempty ) =>
% 0.60/0.95 ( ( setbeta ) =>
% 0.60/0.95 ( ( nonemptyE1 ) =>
% 0.60/0.95 ( ( nonemptyI ) =>
% 0.60/0.95 ( ( nonemptyI1 ) =>
% 0.60/0.95 ( ( setadjoinIL ) =>
% 0.60/0.95 ( ( emptyinunitempty ) =>
% 0.60/0.95 ( ( setadjoinIR ) =>
% 0.60/0.95 ( ( setadjoinE ) =>
% 0.60/0.95 ( (
% 0.60/0.95 setadjoinOr ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setoftrueEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X10:$i,
% 0.60/0.95 X12:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X14:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X14 @ X12 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X14 @ X10 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X12 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X10 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X16:$i]:
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 emptyset @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X16 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X18:$i]:
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 emptyset @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X18 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X20:$i,
% 0.60/0.95 X22:$i,
% 0.60/0.95 X24:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X22 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X20 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X24 @ X22 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X24 @ X20 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunionI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunionE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subPowSU ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuE2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 nonemptyImpWitness ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 uniqinunit ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notinsingleton ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 eqinunit ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletonsswitch ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsetE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsetIL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsetIR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 emptyE1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 vacuousDall ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan4 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 prop2setI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 prop2set2propI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notdexE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notdallE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuI3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuI2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 inCongP ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuE3u ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exu__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 emptyset__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setadjoin__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X26:$i,
% 0.60/0.95 X28:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 X26 ) =
% 0.60/0.95 (
% 0.60/0.95 X28 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X26 ) =
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X28 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunion__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 omega__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuEu ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 descr__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dsetconstr__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X30:$i,
% 0.60/0.95 X32:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X34:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X34 @ X30 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X34 @ X32 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X30 @ X32 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X36:$i,
% 0.60/0.95 X38:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 X36 ) =
% 0.60/0.95 (
% 0.60/0.95 X38 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X38 @ X36 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X40:$i,
% 0.60/0.95 X42:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 X40 ) =
% 0.60/0.95 (
% 0.60/0.95 X42 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X40 @ X42 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X44:$i,
% 0.60/0.95 X46:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X48:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X48 @ X44 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X48 @ X46 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X44 @ X46 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X50:$i]:
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 emptyset @
% 0.60/0.95 X50 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X52:$i,
% 0.60/0.95 X54:$i,
% 0.60/0.95 X56:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X52 @ X54 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X56 @ X52 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X56 @ X54 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X58:$i,
% 0.60/0.95 X60:$i,
% 0.60/0.95 X62:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X58 @ X60 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ~(
% 0.60/0.95 in @
% 0.60/0.95 X62 @ X60 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ~(
% 0.60/0.95 in @
% 0.60/0.95 X62 @ X58 ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X64:$i,
% 0.60/0.95 X66:$i,
% 0.60/0.95 X68:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X68 @ X64 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ~(
% 0.60/0.95 in @
% 0.60/0.95 X68 @ X66 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ~(
% 0.60/0.95 subset @
% 0.60/0.95 X64 @ X66 ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X70:$i,
% 0.60/0.95 X72:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ~(
% 0.60/0.95 subset @
% 0.60/0.95 X70 @ X72 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 X70 ) !=
% 0.60/0.95 (
% 0.60/0.95 X72 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notequalI2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X74:$i]:
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X74 @ X74 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X76:$i,
% 0.60/0.95 X78:$i,
% 0.60/0.95 X80:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X76 @ X78 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X78 @ X80 ) =>
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X76 @ X80 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X82:$i,
% 0.60/0.95 X84:$i]:
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X84 @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 X82 @ X84 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X86:$i,
% 0.60/0.95 X88:$i,
% 0.60/0.95 X90:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X86 @ X90 ) =>
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X86 @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 X88 @ X90 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X92:$i,
% 0.60/0.95 X94:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X92 @ X94 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X92 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X94 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X96:$i,
% 0.60/0.95 X98:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X96 @ X98 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X98 @ X96 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 X96 ) =
% 0.60/0.95 (
% 0.60/0.95 X98 ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X100:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X100 @
% 0.60/0.95 emptyset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 X100 ) =
% 0.60/0.95 (
% 0.60/0.95 emptyset ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X102:$i,
% 0.60/0.95 X104:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X104 @
% 0.60/0.95 X102 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X104 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X102 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X106:$i,
% 0.60/0.95 X108:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X108 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X106 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X108 @
% 0.60/0.95 X106 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X110:$i]:
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X110 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X110 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X112:$i,
% 0.60/0.95 X114:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X112 @
% 0.60/0.95 X114 ) =>
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X112 ) @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X114 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 sepInPowerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 sepSubset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionIL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairset2IR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionIR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionEcases ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionLsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionRsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset5 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectEL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectLsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectER ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 disjointsetsI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectRsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset4 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 bs114d ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusEL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusER ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusSubset2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusERneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusELneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusILneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusIRneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusLsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusSubset1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffI2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffIneg1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffIneg2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 secondinupair ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairIL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairIR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 kpairiskpair ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 kpairp ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X116:$i,
% 0.60/0.95 X118:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X118 @
% 0.60/0.95 X116 ) =>
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 X118 @
% 0.60/0.95 emptyset ) @
% 0.60/0.95 X116 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X120:$i,
% 0.60/0.95 X122:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X122 @
% 0.60/0.95 X120 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 X122 @
% 0.60/0.95 emptyset ) @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X120 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletoninpowunion ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairset2E ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsubunion ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairinpowunion ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ubforcartprodlem1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ubforcartprodlem2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ubforcartprodlem3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodpairin ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodmempair1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodmempair ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunionE2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunionsingleton1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunionsingleton2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunionsingleton ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletonprop ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ex1E1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ex1I ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ex1I2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletonsuniq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjL1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 kfstsingleton ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 theprop ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 kfstpairEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodfstin ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjL2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjR11 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjR12 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjR1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairequniteq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjR2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ksndsingleton ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ksndpairEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 kpairsurjEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodsndin ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodpairmemEL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodpairmemER ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodmempaircEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodfstpairEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodsndpairEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodpairsurjEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dpsetconstrI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dpsetconstrSub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setOfPairsIsBReln ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dpsetconstrERa ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dpsetconstrEL1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dpsetconstrEL2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dpsetconstrER ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcImageSingleton ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 apProp ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 app ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 infuncsetfunc ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ap2p ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcinfuncset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 lamProp ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 lamp ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 lam2p ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 brelnall1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 brelnall2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ex1E2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcGraphProp1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcGraphProp3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcGraphProp2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcextLem ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcGraphProp4 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subbreln ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 eqbreln ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcext ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcext2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ap2apEq1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ap2apEq2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 beta1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 eta1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 lam2lamEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 beta2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 eta2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 iffalseProp1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 iffalseProp2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 iftrueProp1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 iftrueProp2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ifSingleton ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ifp ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 theeq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 iftrue ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 iffalse ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 iftrueorfalse ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectT_lem ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionT_lem ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X124:$i,
% 0.60/0.95 X126:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X126 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X124 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X126 ) @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X124 ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusT_lem ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 complementT_lem ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X128:$i,
% 0.60/0.95 X130:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X130 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X128 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X132:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X132 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X128 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X134:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X134 @
% 0.60/0.95 X128 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X134 @
% 0.60/0.95 X130 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X134 @
% 0.60/0.95 X132 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X136:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X136 @
% 0.60/0.95 X128 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X136 @
% 0.60/0.95 X132 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X136 @
% 0.60/0.95 X130 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 X130 ) =
% 0.60/0.95 (
% 0.60/0.95 X132 ) ) ) ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X138:$i,
% 0.60/0.95 X140:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X140 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X138 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X142:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X142 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X138 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X144:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X144 @
% 0.60/0.95 X138 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X144 @
% 0.60/0.95 X140 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X144 @
% 0.60/0.95 X142 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X140 @
% 0.60/0.95 X142 ) ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X146:$i,
% 0.60/0.95 X148:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X148 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X146 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X150:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X150 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X146 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X152:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X152 @
% 0.60/0.95 X146 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X152 @
% 0.60/0.95 X148 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X152 @
% 0.60/0.95 X150 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X148 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X150 ) ) ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X154:$i,
% 0.60/0.95 X156:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X156 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X154 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X158:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X158 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X154 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X160:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X160 @
% 0.60/0.95 X154 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X156 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X158 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X160 @
% 0.60/0.95 X156 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X160 @
% 0.60/0.95 X158 ) ) ) ) ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 complementTI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 complementTE1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectTELcontra ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectTERcontra ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 contrasubsetT ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X162:$i,
% 0.60/0.95 X164:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X164 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X162 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X166:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X166 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X162 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X168:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X168 @
% 0.60/0.95 X162 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X164 @
% 0.60/0.95 X166 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ~(
% 0.60/0.95 in @
% 0.60/0.95 X168 @
% 0.60/0.95 X166 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ~(
% 0.60/0.95 in @
% 0.60/0.95 X168 @
% 0.60/0.95 X164 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.60/0.95 thf(zf_stmt_1, type, zip_tseitin_0 : $i > $i > $i > $o).
% 0.60/0.95 thf(zf_stmt_2, axiom,
% 0.60/0.95 (![X8:$i,X6:$i,X4:$i]:
% 0.60/0.95 ( ( zip_tseitin_0 @ X8 @ X6 @ X4 ) <=>
% 0.60/0.95 ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ))).
% 0.60/0.95 thf(zf_stmt_3, conjecture,
% 0.60/0.95 (( setextAx ) =>
% 0.60/0.95 ( ( emptysetAx ) =>
% 0.60/0.95 ( ( setadjoinAx ) =>
% 0.60/0.95 ( ( ![X4:$i,X6:$i]:
% 0.60/0.95 ( ( in @ X6 @ ( powerset @ X4 ) ) <=>
% 0.60/0.95 ( ![X8:$i]: ( zip_tseitin_0 @ X8 @ X6 @ X4 ) ) ) ) =>
% 0.60/0.95 ( ( setunionAx ) =>
% 0.60/0.95 ( ( omega0Ax ) =>
% 0.60/0.95 ( ( omegaSAx ) =>
% 0.60/0.95 ( ( omegaIndAx ) =>
% 0.60/0.95 ( ( replAx ) =>
% 0.60/0.95 ( ( foundationAx ) =>
% 0.60/0.95 ( ( wellorderingAx ) =>
% 0.60/0.95 ( ( descrp ) =>
% 0.60/0.95 ( ( dsetconstrI ) =>
% 0.60/0.95 ( ( dsetconstrEL ) =>
% 0.60/0.95 ( ( dsetconstrER ) =>
% 0.60/0.95 ( ( exuE1 ) =>
% 0.60/0.95 ( ( prop2setE ) =>
% 0.60/0.95 ( ( emptysetE ) =>
% 0.60/0.95 ( ( emptysetimpfalse ) =>
% 0.60/0.95 ( ( notinemptyset ) =>
% 0.60/0.95 ( ( exuE3e ) =>
% 0.60/0.95 ( ( setext ) =>
% 0.60/0.95 ( ( emptyI ) =>
% 0.60/0.95 ( ( noeltsimpempty ) =>
% 0.60/0.95 ( ( setbeta ) =>
% 0.60/0.95 ( ( nonemptyE1 ) =>
% 0.60/0.95 ( ( nonemptyI ) =>
% 0.60/0.95 ( ( nonemptyI1 ) =>
% 0.60/0.95 ( ( setadjoinIL ) =>
% 0.60/0.95 ( ( emptyinunitempty ) =>
% 0.60/0.95 ( ( setadjoinIR ) =>
% 0.60/0.95 ( ( setadjoinE ) =>
% 0.60/0.95 ( (
% 0.60/0.95 setadjoinOr ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setoftrueEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X10:$i,
% 0.60/0.95 X12:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X14:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X14 @ X12 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X14 @ X10 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X12 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X10 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X16:$i]:
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 emptyset @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X16 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X18:$i]:
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 emptyset @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X18 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X20:$i,
% 0.60/0.95 X22:$i,
% 0.60/0.95 X24:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X22 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X20 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X24 @ X22 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X24 @ X20 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunionI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunionE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subPowSU ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuE2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 nonemptyImpWitness ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 uniqinunit ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notinsingleton ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 eqinunit ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletonsswitch ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsetE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsetIL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsetIR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 emptyE1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 vacuousDall ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan4 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 prop2setI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 prop2set2propI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notdexE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notdallE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuI3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuI2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 inCongP ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuE3u ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exu__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 emptyset__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setadjoin__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X26:$i,
% 0.60/0.95 X28:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 X26 ) =
% 0.60/0.95 (
% 0.60/0.95 X28 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X26 ) =
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X28 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunion__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 omega__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuEu ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 descr__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dsetconstr__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X30:$i,
% 0.60/0.95 X32:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X34:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X34 @ X30 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X34 @ X32 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X30 @ X32 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X36:$i,
% 0.60/0.95 X38:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 X36 ) =
% 0.60/0.95 (
% 0.60/0.95 X38 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X38 @ X36 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X40:$i,
% 0.60/0.95 X42:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 X40 ) =
% 0.60/0.95 (
% 0.60/0.95 X42 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X40 @ X42 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X44:$i,
% 0.60/0.95 X46:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X48:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X48 @ X44 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X48 @ X46 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X44 @ X46 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X50:$i]:
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 emptyset @
% 0.60/0.95 X50 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X52:$i,
% 0.60/0.95 X54:$i,
% 0.60/0.95 X56:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X52 @ X54 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X56 @ X52 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X56 @ X54 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X58:$i,
% 0.60/0.95 X60:$i,
% 0.60/0.95 X62:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X58 @ X60 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ~(
% 0.60/0.95 in @
% 0.60/0.95 X62 @ X60 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ~(
% 0.60/0.95 in @
% 0.60/0.95 X62 @ X58 ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X64:$i,
% 0.60/0.95 X66:$i,
% 0.60/0.95 X68:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X68 @ X64 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ~(
% 0.60/0.95 in @
% 0.60/0.95 X68 @ X66 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ~(
% 0.60/0.95 subset @
% 0.60/0.95 X64 @ X66 ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X70:$i,
% 0.60/0.95 X72:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ~(
% 0.60/0.95 subset @
% 0.60/0.95 X70 @ X72 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 X70 ) !=
% 0.60/0.95 (
% 0.60/0.95 X72 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notequalI2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X74:$i]:
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X74 @ X74 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X76:$i,
% 0.60/0.95 X78:$i,
% 0.60/0.95 X80:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X76 @ X78 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X78 @ X80 ) =>
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X76 @ X80 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X82:$i,
% 0.60/0.95 X84:$i]:
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X84 @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 X82 @ X84 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X86:$i,
% 0.60/0.95 X88:$i,
% 0.60/0.95 X90:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X86 @ X90 ) =>
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X86 @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 X88 @ X90 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X92:$i,
% 0.60/0.95 X94:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X92 @ X94 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X92 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X94 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X96:$i,
% 0.60/0.95 X98:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X96 @ X98 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X98 @ X96 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 X96 ) =
% 0.60/0.95 (
% 0.60/0.95 X98 ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X100:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X100 @
% 0.60/0.95 emptyset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 X100 ) =
% 0.60/0.95 (
% 0.60/0.95 emptyset ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X102:$i,
% 0.60/0.95 X104:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X104 @
% 0.60/0.95 X102 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X104 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X102 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X106:$i,
% 0.60/0.95 X108:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X108 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X106 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X108 @
% 0.60/0.95 X106 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X110:$i]:
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X110 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X110 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X112:$i,
% 0.60/0.95 X114:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X112 @
% 0.60/0.95 X114 ) =>
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X112 ) @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X114 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 sepInPowerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 sepSubset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionIL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairset2IR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionIR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionEcases ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionLsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionRsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset5 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectEL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectLsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectER ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 disjointsetsI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectRsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset4 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 bs114d ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusEL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusER ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusSubset2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusERneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusELneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusILneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusIRneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusLsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusSubset1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffI2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffIneg1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffIneg2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 secondinupair ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairIL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairIR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 kpairiskpair ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 kpairp ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X116:$i,
% 0.60/0.95 X118:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X118 @
% 0.60/0.95 X116 ) =>
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 X118 @
% 0.60/0.95 emptyset ) @
% 0.60/0.95 X116 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X120:$i,
% 0.60/0.95 X122:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X122 @
% 0.60/0.95 X120 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 X122 @
% 0.60/0.95 emptyset ) @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X120 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletoninpowunion ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairset2E ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsubunion ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairinpowunion ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ubforcartprodlem1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ubforcartprodlem2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ubforcartprodlem3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodpairin ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodmempair1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodmempair ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunionE2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunionsingleton1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunionsingleton2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunionsingleton ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletonprop ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ex1E1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ex1I ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ex1I2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletonsuniq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjL1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 kfstsingleton ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 theprop ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 kfstpairEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodfstin ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjL2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjR11 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjR12 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjR1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairequniteq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjR2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ksndsingleton ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ksndpairEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 kpairsurjEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodsndin ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodpairmemEL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodpairmemER ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodmempaircEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodfstpairEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodsndpairEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodpairsurjEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dpsetconstrI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dpsetconstrSub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setOfPairsIsBReln ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dpsetconstrERa ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dpsetconstrEL1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dpsetconstrEL2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dpsetconstrER ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcImageSingleton ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 apProp ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 app ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 infuncsetfunc ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ap2p ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcinfuncset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 lamProp ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 lamp ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 lam2p ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 brelnall1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 brelnall2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ex1E2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcGraphProp1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcGraphProp3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcGraphProp2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcextLem ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcGraphProp4 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subbreln ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 eqbreln ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcext ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcext2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ap2apEq1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ap2apEq2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 beta1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 eta1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 lam2lamEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 beta2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 eta2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 iffalseProp1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 iffalseProp2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 iftrueProp1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 iftrueProp2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ifSingleton ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ifp ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 theeq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 iftrue ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 iffalse ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 iftrueorfalse ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectT_lem ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionT_lem ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X124:$i,
% 0.60/0.95 X126:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X126 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X124 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X126 ) @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X124 ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusT_lem ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 complementT_lem ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X128:$i,
% 0.60/0.95 X130:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X130 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X128 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X132:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X132 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X128 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X134:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X134 @
% 0.60/0.95 X128 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X134 @
% 0.60/0.95 X130 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X134 @
% 0.60/0.95 X132 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X136:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X136 @
% 0.60/0.95 X128 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X136 @
% 0.60/0.95 X132 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X136 @
% 0.60/0.95 X130 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 X130 ) =
% 0.60/0.95 (
% 0.60/0.95 X132 ) ) ) ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X138:$i,
% 0.60/0.95 X140:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X140 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X138 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X142:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X142 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X138 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X144:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X144 @
% 0.60/0.95 X138 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X144 @
% 0.60/0.95 X140 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X144 @
% 0.60/0.95 X142 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X140 @
% 0.60/0.95 X142 ) ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X146:$i,
% 0.60/0.95 X148:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X148 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X146 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X150:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X150 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X146 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X152:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X152 @
% 0.60/0.95 X146 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X152 @
% 0.60/0.95 X148 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X152 @
% 0.60/0.95 X150 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X148 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X150 ) ) ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X154:$i,
% 0.60/0.95 X156:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X156 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X154 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X158:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X158 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X154 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X160:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X160 @
% 0.60/0.95 X154 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X156 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X158 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X160 @
% 0.60/0.95 X156 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X160 @
% 0.60/0.95 X158 ) ) ) ) ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 complementTI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 complementTE1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectTELcontra ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectTERcontra ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 contrasubsetT ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X162:$i,
% 0.60/0.95 X164:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X164 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X162 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X166:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X166 @
% 0.60/0.95 (
% 0.60/0.95 powerset @
% 0.60/0.95 X162 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X168:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X168 @
% 0.60/0.95 X162 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X164 @
% 0.60/0.95 X166 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ~(
% 0.60/0.95 in @
% 0.60/0.95 X168 @
% 0.60/0.95 X166 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ~(
% 0.60/0.95 in @
% 0.60/0.95 X168 @
% 0.60/0.95 X164 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.60/0.95 thf(zf_stmt_4, negated_conjecture,
% 0.60/0.95 (~( ( setextAx ) =>
% 0.60/0.95 ( ( emptysetAx ) =>
% 0.60/0.95 ( ( setadjoinAx ) =>
% 0.60/0.95 ( ( ![X4:$i,X6:$i]:
% 0.60/0.95 ( ( in @ X6 @ ( powerset @ X4 ) ) <=>
% 0.60/0.95 ( ![X8:$i]: ( zip_tseitin_0 @ X8 @ X6 @ X4 ) ) ) ) =>
% 0.60/0.95 ( ( setunionAx ) =>
% 0.60/0.95 ( ( omega0Ax ) =>
% 0.60/0.95 ( ( omegaSAx ) =>
% 0.60/0.95 ( ( omegaIndAx ) =>
% 0.60/0.95 ( ( replAx ) =>
% 0.60/0.95 ( ( foundationAx ) =>
% 0.60/0.95 ( ( wellorderingAx ) =>
% 0.60/0.95 ( ( descrp ) =>
% 0.60/0.95 ( ( dsetconstrI ) =>
% 0.60/0.95 ( ( dsetconstrEL ) =>
% 0.60/0.95 ( ( dsetconstrER ) =>
% 0.60/0.95 ( ( exuE1 ) =>
% 0.60/0.95 ( ( prop2setE ) =>
% 0.60/0.95 ( ( emptysetE ) =>
% 0.60/0.95 ( ( emptysetimpfalse ) =>
% 0.60/0.95 ( ( notinemptyset ) =>
% 0.60/0.95 ( ( exuE3e ) =>
% 0.60/0.95 ( ( setext ) =>
% 0.60/0.95 ( ( emptyI ) =>
% 0.60/0.95 ( ( noeltsimpempty ) =>
% 0.60/0.95 ( ( setbeta ) =>
% 0.60/0.95 ( ( nonemptyE1 ) =>
% 0.60/0.95 ( ( nonemptyI ) =>
% 0.60/0.95 ( ( nonemptyI1 ) =>
% 0.60/0.95 ( ( setadjoinIL ) =>
% 0.60/0.95 ( ( emptyinunitempty ) =>
% 0.60/0.95 ( ( setadjoinIR ) =>
% 0.60/0.95 ( (
% 0.60/0.95 setadjoinE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setadjoinOr ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setoftrueEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X10:$i,
% 0.60/0.95 X12:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X14:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X14 @ X12 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X14 @ X10 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X12 @
% 0.60/0.95 (
% 0.60/0.95 powerset
% 0.60/0.95 @
% 0.60/0.95 X10 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X16:$i]:
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 emptyset @
% 0.60/0.95 (
% 0.60/0.95 powerset
% 0.60/0.95 @
% 0.60/0.95 X16 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X18:$i]:
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 emptyset @
% 0.60/0.95 (
% 0.60/0.95 powerset
% 0.60/0.95 @
% 0.60/0.95 X18 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X20:$i,
% 0.60/0.95 X22:$i,
% 0.60/0.95 X24:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X22 @
% 0.60/0.95 (
% 0.60/0.95 powerset
% 0.60/0.95 @
% 0.60/0.95 X20 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X24 @ X22 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X24 @ X20 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunionI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunionE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subPowSU ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuE2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 nonemptyImpWitness ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 uniqinunit ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notinsingleton ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 eqinunit ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletonsswitch ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsetE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsetIL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsetIR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 emptyE1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 vacuousDall ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 quantDeMorgan4 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 prop2setI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 prop2set2propI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notdexE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notdallE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuI3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuI2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 inCongP ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuE3u ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exu__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 emptyset__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setadjoin__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X26:$i,
% 0.60/0.95 X28:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 X26 ) =
% 0.60/0.95 (
% 0.60/0.95 X28 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 powerset
% 0.60/0.95 @
% 0.60/0.95 X26 ) =
% 0.60/0.95 (
% 0.60/0.95 powerset
% 0.60/0.95 @
% 0.60/0.95 X28 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunion__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 omega__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 exuEu ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 descr__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dsetconstr__Cong ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X30:$i,
% 0.60/0.95 X32:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X34:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X34 @ X30 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X34 @ X32 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X30 @ X32 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X36:$i,
% 0.60/0.95 X38:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 X36 ) =
% 0.60/0.95 (
% 0.60/0.95 X38 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X38 @ X36 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X40:$i,
% 0.60/0.95 X42:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 X40 ) =
% 0.60/0.95 (
% 0.60/0.95 X42 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X40 @ X42 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X44:$i,
% 0.60/0.95 X46:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X48:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X48 @ X44 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X48 @ X46 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X44 @ X46 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X50:$i]:
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 emptyset @
% 0.60/0.95 X50 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X52:$i,
% 0.60/0.95 X54:$i,
% 0.60/0.95 X56:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X52 @ X54 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X56 @ X52 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X56 @ X54 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X58:$i,
% 0.60/0.95 X60:$i,
% 0.60/0.95 X62:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X58 @ X60 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ~
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X62 @ X60 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ~
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X62 @ X58 ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X64:$i,
% 0.60/0.95 X66:$i,
% 0.60/0.95 X68:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X68 @ X64 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ~
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X68 @ X66 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ~
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X64 @ X66 ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X70:$i,
% 0.60/0.95 X72:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ~
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X70 @ X72 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 X70 ) !=
% 0.60/0.95 (
% 0.60/0.95 X72 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 notequalI2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X74:$i]:
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X74 @ X74 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X76:$i,
% 0.60/0.95 X78:$i,
% 0.60/0.95 X80:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X76 @ X78 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X78 @ X80 ) =>
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X76 @ X80 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X82:$i,
% 0.60/0.95 X84:$i]:
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X84 @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 X82 @ X84 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X86:$i,
% 0.60/0.95 X88:$i,
% 0.60/0.95 X90:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X86 @ X90 ) =>
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X86 @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 X88 @ X90 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X92:$i,
% 0.60/0.95 X94:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X92 @ X94 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X92 @
% 0.60/0.95 (
% 0.60/0.95 powerset
% 0.60/0.95 @
% 0.60/0.95 X94 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X96:$i,
% 0.60/0.95 X98:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X96 @ X98 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X98 @ X96 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 X96 ) =
% 0.60/0.95 (
% 0.60/0.95 X98 ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X100:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X100 @
% 0.60/0.95 emptyset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 X100 ) =
% 0.60/0.95 (
% 0.60/0.95 emptyset ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X102:$i,
% 0.60/0.95 X104:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X104 @
% 0.60/0.95 X102 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X104 @
% 0.60/0.95 (
% 0.60/0.95 powerset
% 0.60/0.95 @
% 0.60/0.95 X102 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X106:$i,
% 0.60/0.95 X108:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X108 @
% 0.60/0.95 (
% 0.60/0.95 powerset
% 0.60/0.95 @
% 0.60/0.95 X106 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X108 @
% 0.60/0.95 X106 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X110:$i]:
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X110 @
% 0.60/0.95 (
% 0.60/0.95 powerset
% 0.60/0.95 @
% 0.60/0.95 X110 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X112:$i,
% 0.60/0.95 X114:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X112 @
% 0.60/0.95 X114 ) =>
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 (
% 0.60/0.95 powerset
% 0.60/0.95 @
% 0.60/0.95 X112 ) @
% 0.60/0.95 (
% 0.60/0.95 powerset
% 0.60/0.95 @
% 0.60/0.95 X114 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 sepInPowerset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 sepSubset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionIL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairset2IR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionIR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionEcases ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionLsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionRsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset5 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectEL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectLsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectER ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 disjointsetsI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectRsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset4 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectSubset1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 bs114d ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusEL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusER ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusSubset2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusERneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusELneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusILneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusIRneg ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusLsub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusSubset1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffE ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffI2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffIneg1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 symdiffIneg2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 secondinupair ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairIL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairIR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 kpairiskpair ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 kpairp ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X116:$i,
% 0.60/0.95 X118:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X118 @
% 0.60/0.95 X116 ) =>
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 X118 @
% 0.60/0.95 emptyset ) @
% 0.60/0.95 X116 ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X120:$i,
% 0.60/0.95 X122:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X122 @
% 0.60/0.95 X120 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 (
% 0.60/0.95 setadjoin
% 0.60/0.95 @
% 0.60/0.95 X122 @
% 0.60/0.95 emptyset ) @
% 0.60/0.95 (
% 0.60/0.95 powerset
% 0.60/0.95 @
% 0.60/0.95 X120 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletoninpowunion ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairset2E ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairsubunion ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairinpowunion ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ubforcartprodlem1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ubforcartprodlem2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ubforcartprodlem3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodpairin ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodmempair1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodmempair ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunionE2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunionsingleton1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunionsingleton2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setunionsingleton ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletonprop ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ex1E1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ex1I ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ex1I2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 singletonsuniq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjL1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 kfstsingleton ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 theprop ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 kfstpairEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodfstin ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjL2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjR11 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjR12 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjR1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 upairequniteq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjR2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setukpairinjR ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ksndsingleton ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ksndpairEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 kpairsurjEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodsndin ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodpairmemEL ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodpairmemER ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodmempaircEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodfstpairEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodsndpairEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 cartprodpairsurjEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dpsetconstrI ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dpsetconstrSub ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setOfPairsIsBReln ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dpsetconstrERa ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dpsetconstrEL1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dpsetconstrEL2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 dpsetconstrER ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcImageSingleton ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 apProp ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 app ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 infuncsetfunc ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ap2p ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcinfuncset ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 lamProp ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 lamp ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 lam2p ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 brelnall1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 brelnall2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ex1E2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcGraphProp1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcGraphProp3 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcGraphProp2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcextLem ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcGraphProp4 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subbreln ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 eqbreln ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcext ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 funcext2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ap2apEq1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ap2apEq2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 beta1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 eta1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 lam2lamEq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 beta2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 eta2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 iffalseProp1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 iffalseProp2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 iftrueProp1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 iftrueProp2 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ifSingleton ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ifp ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 theeq ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 iftrue ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 iffalse ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 iftrueorfalse ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectT_lem ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binunionT_lem ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X124:$i,
% 0.60/0.95 X126:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X126 @
% 0.60/0.95 (
% 0.60/0.95 powerset
% 0.60/0.95 @
% 0.60/0.95 X124 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 (
% 0.60/0.95 powerset
% 0.60/0.95 @
% 0.60/0.95 X126 ) @
% 0.60/0.95 (
% 0.60/0.95 powerset
% 0.60/0.95 @
% 0.60/0.95 (
% 0.60/0.95 powerset
% 0.60/0.95 @
% 0.60/0.95 X124 ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 setminusT_lem ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 complementT_lem ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X128:$i,
% 0.60/0.95 X130:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X130 @
% 0.60/0.95 (
% 0.60/0.95 powerset
% 0.60/0.95 @
% 0.60/0.95 X128 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X132:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X132 @
% 0.60/0.95 (
% 0.60/0.95 powerset
% 0.60/0.95 @
% 0.60/0.95 X128 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X134:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X134 @
% 0.60/0.95 X128 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X134 @
% 0.60/0.95 X130 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X134 @
% 0.60/0.95 X132 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X136:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X136 @
% 0.60/0.95 X128 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X136 @
% 0.60/0.95 X132 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X136 @
% 0.60/0.95 X130 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 X130 ) =
% 0.60/0.95 (
% 0.60/0.95 X132 ) ) ) ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X138:$i,
% 0.60/0.95 X140:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X140 @
% 0.60/0.95 (
% 0.60/0.95 powerset
% 0.60/0.95 @
% 0.60/0.95 X138 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X142:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X142 @
% 0.60/0.95 (
% 0.60/0.95 powerset
% 0.60/0.95 @
% 0.60/0.95 X138 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X144:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X144 @
% 0.60/0.95 X138 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X144 @
% 0.60/0.95 X140 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X144 @
% 0.60/0.95 X142 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X140 @
% 0.60/0.95 X142 ) ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X146:$i,
% 0.60/0.95 X148:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X148 @
% 0.60/0.95 (
% 0.60/0.95 powerset
% 0.60/0.95 @
% 0.60/0.95 X146 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X150:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X150 @
% 0.60/0.95 (
% 0.60/0.95 powerset
% 0.60/0.95 @
% 0.60/0.95 X146 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X152:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X152 @
% 0.60/0.95 X146 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X152 @
% 0.60/0.95 X148 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X152 @
% 0.60/0.95 X150 ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X148 @
% 0.60/0.95 (
% 0.60/0.95 powerset
% 0.60/0.95 @
% 0.60/0.95 X150 ) ) ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X154:$i,
% 0.60/0.95 X156:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X156 @
% 0.60/0.95 (
% 0.60/0.95 powerset
% 0.60/0.95 @
% 0.60/0.95 X154 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X158:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X158 @
% 0.60/0.95 (
% 0.60/0.95 powerset
% 0.60/0.95 @
% 0.60/0.95 X154 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X160:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X160 @
% 0.60/0.95 X154 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X156 @
% 0.60/0.95 (
% 0.60/0.95 powerset
% 0.60/0.95 @
% 0.60/0.95 X158 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X160 @
% 0.60/0.95 X156 ) =>
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X160 @
% 0.60/0.95 X158 ) ) ) ) ) ) ) ) ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 complementTI1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 complementTE1 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectTELcontra ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 binintersectTERcontra ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 contrasubsetT ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X162:$i,
% 0.60/0.95 X164:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X164 @
% 0.60/0.95 (
% 0.60/0.95 powerset
% 0.60/0.95 @
% 0.60/0.95 X162 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X166:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X166 @
% 0.60/0.95 (
% 0.60/0.95 powerset
% 0.60/0.95 @
% 0.60/0.95 X162 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ![
% 0.60/0.95 X168:$i]:
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X168 @
% 0.60/0.95 X162 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 subset @
% 0.60/0.95 X164 @
% 0.60/0.95 X166 ) =>
% 0.60/0.95 (
% 0.60/0.95 (
% 0.60/0.95 ~
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X168 @
% 0.60/0.95 X166 ) ) =>
% 0.60/0.95 (
% 0.60/0.95 ~
% 0.60/0.95 (
% 0.60/0.95 in @
% 0.60/0.95 X168 @
% 0.60/0.95 X164 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )),
% 0.60/0.95 inference('cnf.neg', [status(esa)], [zf_stmt_3])).
% 0.60/0.95 thf(zip_derived_cl128, plain, ( (subset @ sk__86 @ sk__87)),
% 0.60/0.95 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.60/0.95 thf(zip_derived_cl45, plain,
% 0.60/0.95 (![X7 : $i, X8 : $i, X9 : $i]:
% 0.60/0.95 (~ (subset @ X7 @ X8) | (in @ X9 @ X8) | ~ (in @ X9 @ X7))),
% 0.60/0.95 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.60/0.95 thf(zip_derived_cl297, plain,
% 0.60/0.95 (![X0 : $i]: (~ (in @ X0 @ sk__86) | (in @ X0 @ sk__87))),
% 0.60/0.95 inference('sup-', [status(thm)], [zip_derived_cl128, zip_derived_cl45])).
% 0.60/0.95 thf(zip_derived_cl130, plain, (~ (in @ sk__88 @ sk__87)),
% 0.60/0.95 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.60/0.95 thf(zip_derived_cl378, plain, (~ (in @ sk__88 @ sk__86)),
% 0.60/0.95 inference('sup-', [status(thm)], [zip_derived_cl297, zip_derived_cl130])).
% 0.60/0.95 thf(zip_derived_cl129, plain, ( (in @ sk__88 @ sk__86)),
% 0.60/0.95 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.60/0.95 thf(zip_derived_cl386, plain, ($false),
% 0.60/0.95 inference('demod', [status(thm)], [zip_derived_cl378, zip_derived_cl129])).
% 0.60/0.95
% 0.60/0.95 % SZS output end Refutation
% 0.60/0.95
% 0.60/0.95
% 0.60/0.95 % Terminating...
% 1.58/1.04 % Runner terminated.
% 1.63/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------