%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU744^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IVLIEsXAmu true
% Computer : n002.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 04:56:05 PM UTC 2025
% Result : Theorem 0.57s 1.02s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU744^1 : TPTP v9.2.0. Released v3.7.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IVLIEsXAmu true
% 0.14/0.34 % Computer : n002.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 16:10:38 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.54/0.68 % Total configuration time : 828
% 0.54/0.68 % Estimated wc time : 1656
% 0.54/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.80 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.81 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.81 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/1.02 % Solved by lams/40_c_ic.sh.
% 0.57/1.02 % done 240 iterations in 0.166s
% 0.57/1.02 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/1.02 % SZS output start Refutation
% 0.57/1.02 thf(setadjoinAx_type, type, setadjoinAx: $o).
% 0.57/1.02 thf(notdexE_type, type, notdexE: $o).
% 0.57/1.02 thf(setukpairinjL2_type, type, setukpairinjL2: $o).
% 0.57/1.02 thf(doubleComplementI1_type, type, doubleComplementI1: $o).
% 0.57/1.02 thf(setunionAx_type, type, setunionAx: $o).
% 0.57/1.02 thf(setminusELneg_type, type, setminusELneg: $o).
% 0.57/1.02 thf(cartprodsndin_type, type, cartprodsndin: $o).
% 0.57/1.02 thf(ex1E1_type, type, ex1E1: $o).
% 0.57/1.02 thf(powersetE_type, type, powersetE: $o).
% 0.57/1.02 thf(omegaSAx_type, type, omegaSAx: $o).
% 0.57/1.02 thf(exuI1_type, type, exuI1: $o).
% 0.57/1.02 thf(exuI2_type, type, exuI2: $o).
% 0.57/1.02 thf(notequalI2_type, type, notequalI2: $o).
% 0.57/1.02 thf(setukpairinjL_type, type, setukpairinjL: $o).
% 0.57/1.02 thf(kpairiskpair_type, type, kpairiskpair: $o).
% 0.57/1.02 thf(sk__176_type, type, sk__176: $i).
% 0.57/1.02 thf(upairsubunion_type, type, upairsubunion: $o).
% 0.57/1.02 thf(funcGraphProp3_type, type, funcGraphProp3: $o).
% 0.57/1.02 thf(cartprodmempaircEq_type, type, cartprodmempaircEq: $o).
% 0.57/1.02 thf(binintersectTERcontra_type, type, binintersectTERcontra: $o).
% 0.57/1.02 thf(powerset__Cong_type, type, powerset__Cong: $o).
% 0.57/1.02 thf(setminusILneg_type, type, setminusILneg: $o).
% 0.57/1.02 thf(wellorderingAx_type, type, wellorderingAx: $o).
% 0.57/1.02 thf(ksndpairEq_type, type, ksndpairEq: $o).
% 0.57/1.02 thf(funcGraphProp2_type, type, funcGraphProp2: $o).
% 0.57/1.02 thf(setadjoinSub2_type, type, setadjoinSub2: $o).
% 0.57/1.02 thf(binintersectSubset5_type, type, binintersectSubset5: $o).
% 0.57/1.02 thf(iftrue_type, type, iftrue: $o).
% 0.57/1.02 thf(upairinpowunion_type, type, upairinpowunion: $o).
% 0.57/1.02 thf(ifSingleton_type, type, ifSingleton: $o).
% 0.57/1.02 thf(doubleComplementSub2_type, type, doubleComplementSub2: $o).
% 0.57/1.02 thf(setoftrueEq_type, type, setoftrueEq: $o).
% 0.57/1.02 thf(funcImageSingleton_type, type, funcImageSingleton: $o).
% 0.57/1.02 thf(inIntersectImpInUnion2_type, type, inIntersectImpInUnion2: $o).
% 0.57/1.02 thf(dpsetconstrERa_type, type, dpsetconstrERa: $o).
% 0.57/1.02 thf(lamProp_type, type, lamProp: $o).
% 0.57/1.02 thf(cartprodpairmemEL_type, type, cartprodpairmemEL: $o).
% 0.57/1.02 thf(emptyset__Cong_type, type, emptyset__Cong: $o).
% 0.57/1.02 thf(dpsetconstrER_type, type, dpsetconstrER: $o).
% 0.57/1.02 thf(sepInPowerset_type, type, sepInPowerset: $o).
% 0.57/1.02 thf(setukpairIR_type, type, setukpairIR: $o).
% 0.57/1.02 thf(setukpairinjR1_type, type, setukpairinjR1: $o).
% 0.57/1.02 thf(lam2p_type, type, lam2p: $o).
% 0.57/1.02 thf(kpair_type, type, kpair: $i > $i > $i).
% 0.57/1.02 thf(binunionE_type, type, binunionE: $o).
% 0.57/1.02 thf(setext_type, type, setext: $o).
% 0.57/1.02 thf(emptyinPowerset_type, type, emptyinPowerset: $o).
% 0.57/1.02 thf(ubforcartprodlem1_type, type, ubforcartprodlem1: $o).
% 0.57/1.02 thf(descr__Cong_type, type, descr__Cong: $o).
% 0.57/1.02 thf(kfstsingleton_type, type, kfstsingleton: $o).
% 0.57/1.02 thf(binintersectTELcontra_type, type, binintersectTELcontra: $o).
% 0.57/1.02 thf(doubleComplementEq_type, type, doubleComplementEq: $o).
% 0.57/1.02 thf(eqbreln_type, type, eqbreln: $o).
% 0.57/1.02 thf(binintersectSubset1_type, type, binintersectSubset1: $o).
% 0.57/1.02 thf(complementImpComplementIntersect_type, type, complementImpComplementIntersect:
% 0.57/1.02 $o).
% 0.57/1.02 thf(in_type, type, in: $i > $i > $o).
% 0.57/1.02 thf(binunionT_lem_type, type, binunionT_lem: $o).
% 0.57/1.02 thf(quantDeMorgan1_type, type, quantDeMorgan1: $o).
% 0.57/1.02 thf(complementT_lem_type, type, complementT_lem: $o).
% 0.57/1.02 thf(binunion_type, type, binunion: $i > $i > $i).
% 0.57/1.02 thf(kpairsurjEq_type, type, kpairsurjEq: $o).
% 0.57/1.02 thf(setadjoinIR_type, type, setadjoinIR: $o).
% 0.57/1.02 thf(doubleComplementE1_type, type, doubleComplementE1: $o).
% 0.57/1.02 thf(beta1_type, type, beta1: $o).
% 0.57/1.02 thf(setadjoin__Cong_type, type, setadjoin__Cong: $o).
% 0.57/1.02 thf(powersetTE1_type, type, powersetTE1: $o).
% 0.57/1.02 thf(symdiffI2_type, type, symdiffI2: $o).
% 0.57/1.02 thf(iftrueProp2_type, type, iftrueProp2: $o).
% 0.57/1.02 thf(upairset2IR_type, type, upairset2IR: $o).
% 0.57/1.02 thf(iffalseProp2_type, type, iffalseProp2: $o).
% 0.57/1.02 thf(subsetE_type, type, subsetE: $o).
% 0.57/1.02 thf(prop2set2propI_type, type, prop2set2propI: $o).
% 0.57/1.02 thf(dsetconstrEL_type, type, dsetconstrEL: $o).
% 0.57/1.02 thf(setbeta_type, type, setbeta: $o).
% 0.57/1.02 thf(eqinunit_type, type, eqinunit: $o).
% 0.57/1.02 thf(upairsetIL_type, type, upairsetIL: $o).
% 0.57/1.02 thf(powersetI1_type, type, powersetI1: $o).
% 0.57/1.02 thf(kfstpairEq_type, type, kfstpairEq: $o).
% 0.57/1.02 thf(binintersectSubset3_type, type, binintersectSubset3: $o).
% 0.57/1.02 thf(setminusIRneg_type, type, setminusIRneg: $o).
% 0.57/1.02 thf(ap2apEq1_type, type, ap2apEq1: $o).
% 0.57/1.02 thf(powersetAx_type, type, powersetAx: $o).
% 0.57/1.02 thf(binintersectSubset4_type, type, binintersectSubset4: $o).
% 0.57/1.02 thf(singletoninpowunion_type, type, singletoninpowunion: $o).
% 0.57/1.02 thf(binunionTIRcontra_type, type, binunionTIRcontra: $o).
% 0.57/1.02 thf(powersetI_type, type, powersetI: $o).
% 0.57/1.02 thf(cartprodmempair_type, type, cartprodmempair: $o).
% 0.57/1.02 thf(upairsetIR_type, type, upairsetIR: $o).
% 0.57/1.02 thf(lamp_type, type, lamp: $o).
% 0.57/1.02 thf(dpsetconstrEL1_type, type, dpsetconstrEL1: $o).
% 0.57/1.02 thf(inCongP_type, type, inCongP: $o).
% 0.57/1.02 thf(setadjoinSub_type, type, setadjoinSub: $o).
% 0.57/1.02 thf(exuE3e_type, type, exuE3e: $o).
% 0.57/1.02 thf(emptysetE_type, type, emptysetE: $o).
% 0.57/1.02 thf(binintersectSubset2_type, type, binintersectSubset2: $o).
% 0.57/1.02 thf(setunionI_type, type, setunionI: $o).
% 0.57/1.02 thf(setunion__Cong_type, type, setunion__Cong: $o).
% 0.57/1.02 thf(prop2setI_type, type, prop2setI: $o).
% 0.57/1.02 thf(singletonsuniq_type, type, singletonsuniq: $o).
% 0.57/1.02 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o).
% 0.57/1.02 thf(setminusER_type, type, setminusER: $o).
% 0.57/1.02 thf(exuE2_type, type, exuE2: $o).
% 0.57/1.02 thf(emptyset_type, type, emptyset: $i).
% 0.57/1.02 thf(setukpairinjR11_type, type, setukpairinjR11: $o).
% 0.57/1.02 thf(ex1I_type, type, ex1I: $o).
% 0.57/1.02 thf(ex1E2_type, type, ex1E2: $o).
% 0.57/1.02 thf(setminus_type, type, setminus: $i > $i > $i).
% 0.57/1.02 thf(setukpairinjL1_type, type, setukpairinjL1: $o).
% 0.57/1.02 thf(powersetsubset_type, type, powersetsubset: $o).
% 0.57/1.02 thf(binunionTILcontra_type, type, binunionTILcontra: $o).
% 0.57/1.02 thf(subPowSU_type, type, subPowSU: $o).
% 0.57/1.02 thf(notequalI1_type, type, notequalI1: $o).
% 0.57/1.02 thf(contrasubsetT_type, type, contrasubsetT: $o).
% 0.57/1.02 thf(notinemptyset_type, type, notinemptyset: $o).
% 0.57/1.02 thf(lam2lamEq_type, type, lam2lamEq: $o).
% 0.57/1.02 thf(nonemptyI1_type, type, nonemptyI1: $o).
% 0.57/1.02 thf(sk__174_type, type, sk__174: $i).
% 0.57/1.02 thf(subsetTrans_type, type, subsetTrans: $o).
% 0.57/1.02 thf(kpairp_type, type, kpairp: $o).
% 0.57/1.02 thf(setukpairinjR12_type, type, setukpairinjR12: $o).
% 0.57/1.02 thf(setminusI_type, type, setminusI: $o).
% 0.57/1.02 thf(binunionIL_type, type, binunionIL: $o).
% 0.57/1.02 thf(dpsetconstrSub_type, type, dpsetconstrSub: $o).
% 0.57/1.02 thf(setunionsingleton_type, type, setunionsingleton: $o).
% 0.57/1.02 thf(subsetE2_type, type, subsetE2: $o).
% 0.57/1.02 thf(singletonsswitch_type, type, singletonsswitch: $o).
% 0.57/1.02 thf(ubforcartprodlem3_type, type, ubforcartprodlem3: $o).
% 0.57/1.02 thf(beta2_type, type, beta2: $o).
% 0.57/1.02 thf(dpsetconstrI_type, type, dpsetconstrI: $o).
% 0.57/1.02 thf(setextsub_type, type, setextsub: $o).
% 0.57/1.02 thf(binunionLsub_type, type, binunionLsub: $o).
% 0.57/1.02 thf(setunionsingleton1_type, type, setunionsingleton1: $o).
% 0.57/1.02 thf(binintersect_type, type, binintersect: $i > $i > $i).
% 0.57/1.02 thf(iftrueorfalse_type, type, iftrueorfalse: $o).
% 0.57/1.02 thf(emptysetsubset_type, type, emptysetsubset: $o).
% 0.57/1.02 thf(quantDeMorgan3_type, type, quantDeMorgan3: $o).
% 0.57/1.02 thf(cartprodpairsurjEq_type, type, cartprodpairsurjEq: $o).
% 0.57/1.02 thf(setOfPairsIsBReln_type, type, setOfPairsIsBReln: $o).
% 0.57/1.02 thf(setunionE_type, type, setunionE: $o).
% 0.57/1.02 thf(ksndsingleton_type, type, ksndsingleton: $o).
% 0.57/1.02 thf(setminusSubset1_type, type, setminusSubset1: $o).
% 0.57/1.02 thf(sk__175_type, type, sk__175: $i).
% 0.57/1.02 thf(powersetT_lem_type, type, powersetT_lem: $o).
% 0.57/1.02 thf(emptyinunitempty_type, type, emptyinunitempty: $o).
% 0.57/1.02 thf(binunionIR_type, type, binunionIR: $o).
% 0.57/1.02 thf(theeq_type, type, theeq: $o).
% 0.57/1.02 thf(setadjoinE_type, type, setadjoinE: $o).
% 0.57/1.02 thf(doubleComplementSub1_type, type, doubleComplementSub1: $o).
% 0.57/1.02 thf(infuncsetfunc_type, type, infuncsetfunc: $o).
% 0.57/1.02 thf(ap2apEq2_type, type, ap2apEq2: $o).
% 0.57/1.02 thf(ap2p_type, type, ap2p: $o).
% 0.57/1.02 thf(setadjoinIL_type, type, setadjoinIL: $o).
% 0.57/1.02 thf(cartprodsndpairEq_type, type, cartprodsndpairEq: $o).
% 0.57/1.02 thf(exuE1_type, type, exuE1: $o).
% 0.57/1.02 thf(ubforcartprodlem2_type, type, ubforcartprodlem2: $o).
% 0.57/1.02 thf(binintersectRsub_type, type, binintersectRsub: $o).
% 0.57/1.02 thf(setminusLsub_type, type, setminusLsub: $o).
% 0.57/1.02 thf(funcextLem_type, type, funcextLem: $o).
% 0.57/1.02 thf(setukpairinjR_type, type, setukpairinjR: $o).
% 0.57/1.02 thf(notinsingleton_type, type, notinsingleton: $o).
% 0.57/1.02 thf(inIntersectImpInIntersectUnions_type, type, inIntersectImpInIntersectUnions:
% 0.57/1.02 $o).
% 0.57/1.02 thf(eqimpsubset2_type, type, eqimpsubset2: $o).
% 0.57/1.02 thf(exuEu_type, type, exuEu: $o).
% 0.57/1.02 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o).
% 0.57/1.02 thf(upairsetE_type, type, upairsetE: $o).
% 0.57/1.02 thf(omega0Ax_type, type, omega0Ax: $o).
% 0.57/1.02 thf(subsetTI_type, type, subsetTI: $o).
% 0.57/1.02 thf(notsubsetI_type, type, notsubsetI: $o).
% 0.57/1.02 thf(contraSubsetComplement_type, type, contraSubsetComplement: $o).
% 0.57/1.02 thf(iffalseProp1_type, type, iffalseProp1: $o).
% 0.57/1.02 thf(quantDeMorgan4_type, type, quantDeMorgan4: $o).
% 0.57/1.02 thf(setextAx_type, type, setextAx: $o).
% 0.57/1.02 thf(cartprodpairmemER_type, type, cartprodpairmemER: $o).
% 0.57/1.02 thf(powersetE1_type, type, powersetE1: $o).
% 0.57/1.02 thf(bs114d_type, type, bs114d: $o).
% 0.57/1.02 thf(contrasubsetT3_type, type, contrasubsetT3: $o).
% 0.57/1.02 thf(noeltsimpempty_type, type, noeltsimpempty: $o).
% 0.57/1.02 thf(complementTcontraSubset_type, type, complementTcontraSubset: $o).
% 0.57/1.02 thf(ifp_type, type, ifp: $o).
% 0.57/1.02 thf(inIntersectImpInUnion_type, type, inIntersectImpInUnion: $o).
% 0.57/1.02 thf(powersetTI1_type, type, powersetTI1: $o).
% 0.57/1.02 thf(sk__177_type, type, sk__177: $i).
% 0.57/1.02 thf(binintersectLsub_type, type, binintersectLsub: $o).
% 0.57/1.02 thf(subsetI1_type, type, subsetI1: $o).
% 0.57/1.02 thf(symdiffE_type, type, symdiffE: $o).
% 0.57/1.02 thf(descrp_type, type, descrp: $o).
% 0.57/1.02 thf(dsetconstr__Cong_type, type, dsetconstr__Cong: $o).
% 0.57/1.02 thf(foundationAx_type, type, foundationAx: $o).
% 0.57/1.02 thf(emptysetAx_type, type, emptysetAx: $o).
% 0.57/1.02 thf(emptyI_type, type, emptyI: $o).
% 0.57/1.02 thf(setadjoinOr_type, type, setadjoinOr: $o).
% 0.57/1.02 thf(eta2_type, type, eta2: $o).
% 0.57/1.02 thf(binintersectEL_type, type, binintersectEL: $o).
% 0.57/1.02 thf(emptyE1_type, type, emptyE1: $o).
% 0.57/1.02 thf(emptyInPowerset_type, type, emptyInPowerset: $o).
% 0.57/1.02 thf(complementTI1_type, type, complementTI1: $o).
% 0.57/1.02 thf(vacuousDall_type, type, vacuousDall: $o).
% 0.57/1.02 thf(dsetconstrER_type, type, dsetconstrER: $o).
% 0.57/1.02 thf(binintersectI_type, type, binintersectI: $o).
% 0.57/1.02 thf(funcext_type, type, funcext: $o).
% 0.57/1.02 thf(funcGraphProp4_type, type, funcGraphProp4: $o).
% 0.57/1.02 thf(cartprodpairin_type, type, cartprodpairin: $o).
% 0.57/1.02 thf(cartprodmempair1_type, type, cartprodmempair1: $o).
% 0.57/1.02 thf(brelnall2_type, type, brelnall2: $o).
% 0.57/1.02 thf(setextT_type, type, setextT: $o).
% 0.57/1.02 thf(ex1I2_type, type, ex1I2: $o).
% 0.57/1.02 thf(symdiffI1_type, type, symdiffI1: $o).
% 0.57/1.02 thf(setukpairinjR2_type, type, setukpairinjR2: $o).
% 0.57/1.02 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o).
% 0.57/1.02 thf(dpsetconstrEL2_type, type, dpsetconstrEL2: $o).
% 0.57/1.02 thf(theprop_type, type, theprop: $o).
% 0.57/1.02 thf(subsetI2_type, type, subsetI2: $o).
% 0.57/1.02 thf(complementInPowersetComplementIntersect_type, type, complementInPowersetComplementIntersect:
% 0.57/1.02 $o).
% 0.57/1.02 thf(setminusT_lem_type, type, setminusT_lem: $o).
% 0.57/1.02 thf(symdiffIneg1_type, type, symdiffIneg1: $o).
% 0.57/1.02 thf(setminusERneg_type, type, setminusERneg: $o).
% 0.57/1.02 thf(symdiffIneg2_type, type, symdiffIneg2: $o).
% 0.57/1.02 thf(omega__Cong_type, type, omega__Cong: $o).
% 0.57/1.02 thf(subsetRefl_type, type, subsetRefl: $o).
% 0.57/1.02 thf(uniqinunit_type, type, uniqinunit: $o).
% 0.57/1.02 thf(complementSubsetComplementIntersect_type, type, complementSubsetComplementIntersect:
% 0.57/1.02 $o).
% 0.57/1.02 thf(setminusSubset2_type, type, setminusSubset2: $o).
% 0.57/1.02 thf(prop2setE_type, type, prop2setE: $o).
% 0.57/1.02 thf(binunionEcases_type, type, binunionEcases: $o).
% 0.57/1.02 thf(funcinfuncset_type, type, funcinfuncset: $o).
% 0.57/1.02 thf(complementTE1_type, type, complementTE1: $o).
% 0.57/1.02 thf(nonemptyI_type, type, nonemptyI: $o).
% 0.57/1.02 thf(app_type, type, app: $o).
% 0.57/1.02 thf(disjointsetsI1_type, type, disjointsetsI1: $o).
% 0.57/1.02 thf(exuE3u_type, type, exuE3u: $o).
% 0.57/1.02 thf(eta1_type, type, eta1: $o).
% 0.57/1.02 thf(setminusEL_type, type, setminusEL: $o).
% 0.57/1.02 thf(cartprodfstin_type, type, cartprodfstin: $o).
% 0.57/1.02 thf(setunionsingleton2_type, type, setunionsingleton2: $o).
% 0.57/1.02 thf(sepSubset_type, type, sepSubset: $o).
% 0.57/1.02 thf(complementTnotintersectT_type, type, complementTnotintersectT: $o).
% 0.57/1.02 thf(upairset2E_type, type, upairset2E: $o).
% 0.57/1.02 thf(eqimpsubset1_type, type, eqimpsubset1: $o).
% 0.57/1.02 thf(exuI3_type, type, exuI3: $o).
% 0.57/1.02 thf(cartprodfstpairEq_type, type, cartprodfstpairEq: $o).
% 0.57/1.02 thf(apProp_type, type, apProp: $o).
% 0.57/1.02 thf(notdallE_type, type, notdallE: $o).
% 0.57/1.02 thf(iftrueProp1_type, type, iftrueProp1: $o).
% 0.57/1.02 thf(binintersectER_type, type, binintersectER: $o).
% 0.57/1.02 thf(brelnall1_type, type, brelnall1: $o).
% 0.57/1.02 thf(powerset_type, type, powerset: $i > $i).
% 0.57/1.02 thf(dsetconstrI_type, type, dsetconstrI: $o).
% 0.57/1.02 thf(funcGraphProp1_type, type, funcGraphProp1: $o).
% 0.57/1.02 thf(binintersectT_lem_type, type, binintersectT_lem: $o).
% 0.57/1.02 thf(setadjoin_type, type, setadjoin: $i > $i > $i).
% 0.57/1.02 thf(exu__Cong_type, type, exu__Cong: $o).
% 0.57/1.02 thf(intersectInPowersetIntersectUnions_type, type, intersectInPowersetIntersectUnions:
% 0.57/1.02 $o).
% 0.57/1.02 thf(quantDeMorgan2_type, type, quantDeMorgan2: $o).
% 0.57/1.02 thf(contrasubsetT2_type, type, contrasubsetT2: $o).
% 0.57/1.02 thf(secondinupair_type, type, secondinupair: $o).
% 0.57/1.02 thf(singletonprop_type, type, singletonprop: $o).
% 0.57/1.02 thf(singletonsubset_type, type, singletonsubset: $o).
% 0.57/1.02 thf(contrasubsetT1_type, type, contrasubsetT1: $o).
% 0.57/1.02 thf(singletoninpowerset_type, type, singletoninpowerset: $o).
% 0.57/1.02 thf(subsetemptysetimpeq_type, type, subsetemptysetimpeq: $o).
% 0.57/1.02 thf(replAx_type, type, replAx: $o).
% 0.57/1.02 thf(upairequniteq_type, type, upairequniteq: $o).
% 0.57/1.02 thf(nonemptyE1_type, type, nonemptyE1: $o).
% 0.57/1.02 thf(omegaIndAx_type, type, omegaIndAx: $o).
% 0.57/1.02 thf(setukpairIL_type, type, setukpairIL: $o).
% 0.57/1.02 thf(setunionE2_type, type, setunionE2: $o).
% 0.57/1.02 thf(inPowerset_type, type, inPowerset: $o).
% 0.57/1.02 thf(iffalse_type, type, iffalse: $o).
% 0.57/1.02 thf(funcext2_type, type, funcext2: $o).
% 0.57/1.02 thf(subset_type, type, subset: $i > $i > $o).
% 0.57/1.02 thf(subbreln_type, type, subbreln: $o).
% 0.57/1.02 thf(in__Cong_type, type, in__Cong: $o).
% 0.57/1.02 thf(binunionRsub_type, type, binunionRsub: $o).
% 0.57/1.02 thf(subset2powerset_type, type, subset2powerset: $o).
% 0.57/1.02 thf(intersectInPowersetIntersectUnions, axiom,
% 0.57/1.02 intersectInPowersetIntersectUnions =
% 0.57/1.02 (![A:$i,X:$i]:
% 0.57/1.02 ( ( in @ X @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ![Y:$i]:
% 0.57/1.02 ( ( in @ Y @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ![Z:$i]:
% 0.57/1.02 ( ( in @ Z @ ( powerset @ A ) ) =>
% 0.57/1.02 ( in @
% 0.57/1.02 ( binintersect @ X @ Y ) @
% 0.57/1.02 ( powerset @
% 0.57/1.02 ( binintersect @ ( binunion @ X @ Z ) @ ( binunion @ Y @ Z ) ) ) ) ) ) ) ) ))).
% 0.57/1.02 thf('0', plain,
% 0.57/1.02 (( intersectInPowersetIntersectUnions ) =
% 0.57/1.02 ( ![X4:$i,X6:$i]:
% 0.57/1.02 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ![X8:$i]:
% 0.57/1.02 ( ( in @ X8 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ![X10:$i]:
% 0.57/1.02 ( ( in @ X10 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( in @
% 0.57/1.02 ( binintersect @ X6 @ X8 ) @
% 0.57/1.02 ( powerset @
% 0.57/1.02 ( binintersect @
% 0.57/1.02 ( binunion @ X6 @ X10 ) @ ( binunion @ X8 @ X10 ) ) ) ) ) ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(inIntersectImpInIntersectUnions, axiom, inIntersectImpInIntersectUnions =
% 0.57/1.02 (![A:$i,X:$i]:
% 0.57/1.02 ( ( in @ X @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ![Y:$i]:
% 0.57/1.02 ( ( in @ Y @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ![Z:$i]:
% 0.57/1.02 ( ( in @ Z @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ![Xx:$i]:
% 0.57/1.02 ( ( in @ Xx @ A ) =>
% 0.57/1.02 ( ( in @ Xx @ ( binintersect @ X @ Y ) ) =>
% 0.57/1.02 ( in @
% 0.57/1.02 Xx @
% 0.57/1.02 ( binintersect @
% 0.57/1.02 ( binunion @ X @ Z ) @ ( binunion @ Y @ Z ) ) ) ) ) ) ) ) ) ) ))).
% 0.57/1.02 thf('1', plain,
% 0.57/1.02 (( inIntersectImpInIntersectUnions ) =
% 0.57/1.02 ( ![X4:$i,X6:$i]:
% 0.57/1.02 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ![X8:$i]:
% 0.57/1.02 ( ( in @ X8 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ![X10:$i]:
% 0.57/1.02 ( ( in @ X10 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ![X12:$i]:
% 0.57/1.02 ( ( in @ X12 @ X4 ) =>
% 0.57/1.02 ( ( in @ X12 @ ( binintersect @ X6 @ X8 ) ) =>
% 0.57/1.02 ( in @
% 0.57/1.02 X12 @
% 0.57/1.02 ( binintersect @
% 0.57/1.02 ( binunion @ X6 @ X10 ) @ ( binunion @ X8 @ X10 ) ) ) ) ) ) ) ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(inIntersectImpInUnion2, axiom, inIntersectImpInUnion2 =
% 0.57/1.02 (![A:$i,X:$i]:
% 0.57/1.02 ( ( in @ X @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ![Y:$i]:
% 0.57/1.02 ( ( in @ Y @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ![Z:$i]:
% 0.57/1.02 ( ( in @ Z @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ![Xx:$i]:
% 0.57/1.02 ( ( in @ Xx @ A ) =>
% 0.57/1.02 ( ( in @ Xx @ ( binintersect @ X @ Y ) ) =>
% 0.57/1.02 ( in @ Xx @ ( binunion @ Y @ Z ) ) ) ) ) ) ) ) ) ))).
% 0.57/1.02 thf('2', plain,
% 0.57/1.02 (( inIntersectImpInUnion2 ) =
% 0.57/1.02 ( ![X4:$i,X6:$i]:
% 0.57/1.02 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ![X8:$i]:
% 0.57/1.02 ( ( in @ X8 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ![X10:$i]:
% 0.57/1.02 ( ( in @ X10 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ![X12:$i]:
% 0.57/1.02 ( ( in @ X12 @ X4 ) =>
% 0.57/1.02 ( ( in @ X12 @ ( binintersect @ X6 @ X8 ) ) =>
% 0.57/1.02 ( in @ X12 @ ( binunion @ X8 @ X10 ) ) ) ) ) ) ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(inIntersectImpInUnion, axiom, inIntersectImpInUnion =
% 0.57/1.02 (![A:$i,X:$i]:
% 0.57/1.02 ( ( in @ X @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ![Y:$i]:
% 0.57/1.02 ( ( in @ Y @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ![Z:$i]:
% 0.57/1.02 ( ( in @ Z @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ![Xx:$i]:
% 0.57/1.02 ( ( in @ Xx @ A ) =>
% 0.57/1.02 ( ( in @ Xx @ ( binintersect @ X @ Y ) ) =>
% 0.57/1.02 ( in @ Xx @ ( binunion @ X @ Z ) ) ) ) ) ) ) ) ) ))).
% 0.57/1.02 thf('3', plain,
% 0.57/1.02 (( inIntersectImpInUnion ) =
% 0.57/1.02 ( ![X4:$i,X6:$i]:
% 0.57/1.02 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ![X8:$i]:
% 0.57/1.02 ( ( in @ X8 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ![X10:$i]:
% 0.57/1.02 ( ( in @ X10 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ![X12:$i]:
% 0.57/1.02 ( ( in @ X12 @ X4 ) =>
% 0.57/1.02 ( ( in @ X12 @ ( binintersect @ X6 @ X8 ) ) =>
% 0.57/1.02 ( in @ X12 @ ( binunion @ X6 @ X10 ) ) ) ) ) ) ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(binunionTIRcontra, axiom, binunionTIRcontra =
% 0.57/1.02 (![A:$i,X:$i]:
% 0.57/1.02 ( ( in @ X @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ![Y:$i]:
% 0.57/1.02 ( ( in @ Y @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ![Xx:$i]:
% 0.57/1.02 ( ( in @ Xx @ A ) =>
% 0.57/1.02 ( ( ~( in @ Xx @ ( binunion @ X @ Y ) ) ) =>
% 0.57/1.02 ( ~( in @ Xx @ Y ) ) ) ) ) ) ) ))).
% 0.57/1.02 thf('4', plain,
% 0.57/1.02 (( binunionTIRcontra ) =
% 0.57/1.02 ( ![X4:$i,X6:$i]:
% 0.57/1.02 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ![X8:$i]:
% 0.57/1.02 ( ( in @ X8 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ![X10:$i]:
% 0.57/1.02 ( ( in @ X10 @ X4 ) =>
% 0.57/1.02 ( ( ~( in @ X10 @ ( binunion @ X6 @ X8 ) ) ) =>
% 0.57/1.02 ( ~( in @ X10 @ X8 ) ) ) ) ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(binunionTILcontra, axiom, binunionTILcontra =
% 0.57/1.02 (![A:$i,X:$i]:
% 0.57/1.02 ( ( in @ X @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ![Y:$i]:
% 0.57/1.02 ( ( in @ Y @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ![Xx:$i]:
% 0.57/1.02 ( ( in @ Xx @ A ) =>
% 0.57/1.02 ( ( ~( in @ Xx @ ( binunion @ X @ Y ) ) ) =>
% 0.57/1.02 ( ~( in @ Xx @ X ) ) ) ) ) ) ) ))).
% 0.57/1.02 thf('5', plain,
% 0.57/1.02 (( binunionTILcontra ) =
% 0.57/1.02 ( ![X4:$i,X6:$i]:
% 0.57/1.02 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ![X8:$i]:
% 0.57/1.02 ( ( in @ X8 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ![X10:$i]:
% 0.57/1.02 ( ( in @ X10 @ X4 ) =>
% 0.57/1.02 ( ( ~( in @ X10 @ ( binunion @ X6 @ X8 ) ) ) =>
% 0.57/1.02 ( ~( in @ X10 @ X6 ) ) ) ) ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(complementTcontraSubset, axiom, complementTcontraSubset =
% 0.57/1.02 (![A:$i,X:$i]:
% 0.57/1.02 ( ( in @ X @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ![Y:$i]:
% 0.57/1.02 ( ( in @ Y @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ( subset @ X @ ( setminus @ A @ Y ) ) =>
% 0.57/1.02 ( subset @ Y @ ( setminus @ A @ X ) ) ) ) ) ))).
% 0.57/1.02 thf('6', plain,
% 0.57/1.02 (( complementTcontraSubset ) =
% 0.57/1.02 ( ![X4:$i,X6:$i]:
% 0.57/1.02 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ![X8:$i]:
% 0.57/1.02 ( ( in @ X8 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ( subset @ X6 @ ( setminus @ X4 @ X8 ) ) =>
% 0.57/1.02 ( subset @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(contraSubsetComplement, axiom, contraSubsetComplement =
% 0.57/1.02 (![A:$i,X:$i]:
% 0.57/1.02 ( ( in @ X @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ![Y:$i]:
% 0.57/1.02 ( ( in @ Y @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ( subset @ X @ ( setminus @ A @ Y ) ) =>
% 0.57/1.02 ( ![Xx:$i]:
% 0.57/1.02 ( ( in @ Xx @ A ) =>
% 0.57/1.02 ( ( in @ Xx @ Y ) => ( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ) ) ))).
% 0.57/1.02 thf('7', plain,
% 0.57/1.02 (( contraSubsetComplement ) =
% 0.57/1.02 ( ![X4:$i,X6:$i]:
% 0.57/1.02 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ![X8:$i]:
% 0.57/1.02 ( ( in @ X8 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ( subset @ X6 @ ( setminus @ X4 @ X8 ) ) =>
% 0.57/1.02 ( ![X10:$i]:
% 0.57/1.02 ( ( in @ X10 @ X4 ) =>
% 0.57/1.02 ( ( in @ X10 @ X8 ) =>
% 0.57/1.02 ( in @ X10 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(doubleComplementEq, axiom, doubleComplementEq =
% 0.57/1.02 (![A:$i,X:$i]:
% 0.57/1.02 ( ( in @ X @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ( X ) = ( setminus @ A @ ( setminus @ A @ X ) ) ) ))).
% 0.57/1.02 thf('8', plain,
% 0.57/1.02 (( doubleComplementEq ) =
% 0.57/1.02 ( ![X4:$i,X6:$i]:
% 0.57/1.02 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ( X6 ) = ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(doubleComplementSub2, axiom, doubleComplementSub2 =
% 0.57/1.02 (![A:$i,X:$i]:
% 0.57/1.02 ( ( in @ X @ ( powerset @ A ) ) =>
% 0.57/1.02 ( subset @ ( setminus @ A @ ( setminus @ A @ X ) ) @ X ) ))).
% 0.57/1.02 thf('9', plain,
% 0.57/1.02 (( doubleComplementSub2 ) =
% 0.57/1.02 ( ![X4:$i,X6:$i]:
% 0.57/1.02 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( subset @ ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) @ X6 ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(doubleComplementSub1, axiom, doubleComplementSub1 =
% 0.57/1.02 (![A:$i,X:$i]:
% 0.57/1.02 ( ( in @ X @ ( powerset @ A ) ) =>
% 0.57/1.02 ( subset @ X @ ( setminus @ A @ ( setminus @ A @ X ) ) ) ))).
% 0.57/1.02 thf('10', plain,
% 0.57/1.02 (( doubleComplementSub1 ) =
% 0.57/1.02 ( ![X4:$i,X6:$i]:
% 0.57/1.02 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( subset @ X6 @ ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(doubleComplementE1, axiom, doubleComplementE1 =
% 0.57/1.02 (![A:$i,X:$i]:
% 0.57/1.02 ( ( in @ X @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ![Xx:$i]:
% 0.57/1.02 ( ( in @ Xx @ A ) =>
% 0.57/1.02 ( ( in @ Xx @ ( setminus @ A @ ( setminus @ A @ X ) ) ) =>
% 0.57/1.02 ( in @ Xx @ X ) ) ) ) ))).
% 0.57/1.02 thf('11', plain,
% 0.57/1.02 (( doubleComplementE1 ) =
% 0.57/1.02 ( ![X4:$i,X6:$i]:
% 0.57/1.02 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ![X8:$i]:
% 0.57/1.02 ( ( in @ X8 @ X4 ) =>
% 0.57/1.02 ( ( in @ X8 @ ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) ) =>
% 0.57/1.02 ( in @ X8 @ X6 ) ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(doubleComplementI1, axiom, doubleComplementI1 =
% 0.57/1.02 (![A:$i,X:$i]:
% 0.57/1.02 ( ( in @ X @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ![Xx:$i]:
% 0.57/1.02 ( ( in @ Xx @ A ) =>
% 0.57/1.02 ( ( in @ Xx @ X ) =>
% 0.57/1.02 ( in @ Xx @ ( setminus @ A @ ( setminus @ A @ X ) ) ) ) ) ) ))).
% 0.57/1.02 thf('12', plain,
% 0.57/1.02 (( doubleComplementI1 ) =
% 0.57/1.02 ( ![X4:$i,X6:$i]:
% 0.57/1.02 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ![X8:$i]:
% 0.57/1.02 ( ( in @ X8 @ X4 ) =>
% 0.57/1.02 ( ( in @ X8 @ X6 ) =>
% 0.57/1.02 ( in @ X8 @ ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(contrasubsetT3, axiom, contrasubsetT3 =
% 0.57/1.02 (![A:$i,X:$i]:
% 0.57/1.02 ( ( in @ X @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ![Y:$i]:
% 0.57/1.02 ( ( in @ Y @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ( subset @ ( setminus @ A @ Y ) @ ( setminus @ A @ X ) ) =>
% 0.57/1.02 ( subset @ X @ Y ) ) ) ) ))).
% 0.57/1.02 thf('13', plain,
% 0.57/1.02 (( contrasubsetT3 ) =
% 0.57/1.02 ( ![X4:$i,X6:$i]:
% 0.57/1.02 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ![X8:$i]:
% 0.57/1.02 ( ( in @ X8 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ( subset @ ( setminus @ X4 @ X8 ) @ ( setminus @ X4 @ X6 ) ) =>
% 0.57/1.02 ( subset @ X6 @ X8 ) ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(contrasubsetT2, axiom, contrasubsetT2 =
% 0.57/1.02 (![A:$i,X:$i]:
% 0.57/1.02 ( ( in @ X @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ![Y:$i]:
% 0.57/1.02 ( ( in @ Y @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ( subset @ X @ Y ) =>
% 0.57/1.02 ( subset @ ( setminus @ A @ Y ) @ ( setminus @ A @ X ) ) ) ) ) ))).
% 0.57/1.02 thf('14', plain,
% 0.57/1.02 (( contrasubsetT2 ) =
% 0.57/1.02 ( ![X4:$i,X6:$i]:
% 0.57/1.02 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ![X8:$i]:
% 0.57/1.02 ( ( in @ X8 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ( subset @ X6 @ X8 ) =>
% 0.57/1.02 ( subset @ ( setminus @ X4 @ X8 ) @ ( setminus @ X4 @ X6 ) ) ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(contrasubsetT, axiom, contrasubsetT =
% 0.57/1.02 (![A:$i,X:$i]:
% 0.57/1.02 ( ( in @ X @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ![Y:$i]:
% 0.57/1.02 ( ( in @ Y @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ![Xx:$i]:
% 0.57/1.02 ( ( in @ Xx @ A ) =>
% 0.57/1.02 ( ( subset @ X @ ( setminus @ A @ Y ) ) =>
% 0.57/1.02 ( ( in @ Xx @ Y ) => ( ~( in @ Xx @ X ) ) ) ) ) ) ) ) ))).
% 0.57/1.02 thf('15', plain,
% 0.57/1.02 (( contrasubsetT ) =
% 0.57/1.02 ( ![X4:$i,X6:$i]:
% 0.57/1.02 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ![X8:$i]:
% 0.57/1.02 ( ( in @ X8 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ![X10:$i]:
% 0.57/1.02 ( ( in @ X10 @ X4 ) =>
% 0.57/1.02 ( ( subset @ X6 @ ( setminus @ X4 @ X8 ) ) =>
% 0.57/1.02 ( ( in @ X10 @ X8 ) => ( ~( in @ X10 @ X6 ) ) ) ) ) ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(complementTE1, axiom, complementTE1 =
% 0.57/1.02 (![A:$i,X:$i]:
% 0.57/1.02 ( ( in @ X @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ![Xx:$i]:
% 0.57/1.02 ( ( in @ Xx @ A ) =>
% 0.57/1.02 ( ( ~( in @ Xx @ ( setminus @ A @ X ) ) ) => ( in @ Xx @ X ) ) ) ) ))).
% 0.57/1.02 thf('16', plain,
% 0.57/1.02 (( complementTE1 ) =
% 0.57/1.02 ( ![X4:$i,X6:$i]:
% 0.57/1.02 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ![X8:$i]:
% 0.57/1.02 ( ( in @ X8 @ X4 ) =>
% 0.57/1.02 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => ( in @ X8 @ X6 ) ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(complementTI1, axiom, complementTI1 =
% 0.57/1.02 (![A:$i,X:$i]:
% 0.57/1.02 ( ( in @ X @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ![Xx:$i]:
% 0.57/1.02 ( ( in @ Xx @ A ) =>
% 0.57/1.02 ( ( in @ Xx @ X ) => ( ~( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ))).
% 0.57/1.02 thf('17', plain,
% 0.57/1.02 (( complementTI1 ) =
% 0.57/1.02 ( ![X4:$i,X6:$i]:
% 0.57/1.02 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ![X8:$i]:
% 0.57/1.02 ( ( in @ X8 @ X4 ) =>
% 0.57/1.02 ( ( in @ X8 @ X6 ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(powersetTE1, axiom, powersetTE1 =
% 0.57/1.02 (![A:$i,X:$i]:
% 0.57/1.02 ( ( in @ X @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ![Y:$i]:
% 0.57/1.02 ( ( in @ Y @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ![Xx:$i]:
% 0.57/1.02 ( ( in @ Xx @ A ) =>
% 0.57/1.02 ( ( in @ X @ ( powerset @ Y ) ) =>
% 0.57/1.02 ( ( in @ Xx @ X ) => ( in @ Xx @ Y ) ) ) ) ) ) ) ))).
% 0.57/1.02 thf('18', plain,
% 0.57/1.02 (( powersetTE1 ) =
% 0.57/1.02 ( ![X4:$i,X6:$i]:
% 0.57/1.02 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ![X8:$i]:
% 0.57/1.02 ( ( in @ X8 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ![X10:$i]:
% 0.57/1.02 ( ( in @ X10 @ X4 ) =>
% 0.57/1.02 ( ( in @ X6 @ ( powerset @ X8 ) ) =>
% 0.57/1.02 ( ( in @ X10 @ X6 ) => ( in @ X10 @ X8 ) ) ) ) ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(powersetTI1, axiom, powersetTI1 =
% 0.57/1.02 (![A:$i,X:$i]:
% 0.57/1.02 ( ( in @ X @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ![Y:$i]:
% 0.57/1.02 ( ( in @ Y @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ( ![Xx:$i]:
% 0.57/1.02 ( ( in @ Xx @ A ) => ( ( in @ Xx @ X ) => ( in @ Xx @ Y ) ) ) ) =>
% 0.57/1.02 ( in @ X @ ( powerset @ Y ) ) ) ) ) ))).
% 0.57/1.02 thf('19', plain,
% 0.57/1.02 (( powersetTI1 ) =
% 0.57/1.02 ( ![X4:$i,X6:$i]:
% 0.57/1.02 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ![X8:$i]:
% 0.57/1.02 ( ( in @ X8 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ( ![X10:$i]:
% 0.57/1.02 ( ( in @ X10 @ X4 ) =>
% 0.57/1.02 ( ( in @ X10 @ X6 ) => ( in @ X10 @ X8 ) ) ) ) =>
% 0.57/1.02 ( in @ X6 @ ( powerset @ X8 ) ) ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(setextT, axiom, setextT =
% 0.57/1.02 (![A:$i,X:$i]:
% 0.57/1.02 ( ( in @ X @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ![Y:$i]:
% 0.57/1.02 ( ( in @ Y @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ( ![Xx:$i]:
% 0.57/1.02 ( ( in @ Xx @ A ) => ( ( in @ Xx @ X ) => ( in @ Xx @ Y ) ) ) ) =>
% 0.57/1.02 ( ( ![Xx:$i]:
% 0.57/1.02 ( ( in @ Xx @ A ) => ( ( in @ Xx @ Y ) => ( in @ Xx @ X ) ) ) ) =>
% 0.57/1.02 ( ( X ) = ( Y ) ) ) ) ) ) ))).
% 0.57/1.02 thf('20', plain,
% 0.57/1.02 (( setextT ) =
% 0.57/1.02 ( ![X4:$i,X6:$i]:
% 0.57/1.02 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ![X8:$i]:
% 0.57/1.02 ( ( in @ X8 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ( ![X10:$i]:
% 0.57/1.02 ( ( in @ X10 @ X4 ) =>
% 0.57/1.02 ( ( in @ X10 @ X6 ) => ( in @ X10 @ X8 ) ) ) ) =>
% 0.57/1.02 ( ( ![X12:$i]:
% 0.57/1.02 ( ( in @ X12 @ X4 ) =>
% 0.57/1.02 ( ( in @ X12 @ X8 ) => ( in @ X12 @ X6 ) ) ) ) =>
% 0.57/1.02 ( ( X6 ) = ( X8 ) ) ) ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(complementT_lem, axiom, complementT_lem =
% 0.57/1.02 (![A:$i,X:$i]:
% 0.57/1.02 ( ( in @ X @ ( powerset @ A ) ) =>
% 0.57/1.02 ( in @ ( setminus @ A @ X ) @ ( powerset @ A ) ) ))).
% 0.57/1.02 thf('21', plain,
% 0.57/1.02 (( complementT_lem ) =
% 0.57/1.02 ( ![X4:$i,X6:$i]:
% 0.57/1.02 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( in @ ( setminus @ X4 @ X6 ) @ ( powerset @ X4 ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(setminusT_lem, axiom, setminusT_lem =
% 0.57/1.02 (![A:$i,X:$i]:
% 0.57/1.02 ( ( in @ X @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ![Y:$i]:
% 0.57/1.02 ( ( in @ Y @ ( powerset @ A ) ) =>
% 0.57/1.02 ( in @ ( setminus @ X @ Y ) @ ( powerset @ A ) ) ) ) ))).
% 0.57/1.02 thf('22', plain,
% 0.57/1.02 (( setminusT_lem ) =
% 0.57/1.02 ( ![X4:$i,X6:$i]:
% 0.57/1.02 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ![X8:$i]:
% 0.57/1.02 ( ( in @ X8 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( in @ ( setminus @ X6 @ X8 ) @ ( powerset @ X4 ) ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(powersetT_lem, axiom, powersetT_lem =
% 0.57/1.02 (![A:$i,X:$i]:
% 0.57/1.02 ( ( in @ X @ ( powerset @ A ) ) =>
% 0.57/1.02 ( in @ ( powerset @ X ) @ ( powerset @ ( powerset @ A ) ) ) ))).
% 0.57/1.02 thf('23', plain,
% 0.57/1.02 (( powersetT_lem ) =
% 0.57/1.02 ( ![X4:$i,X6:$i]:
% 0.57/1.02 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( in @ ( powerset @ X6 ) @ ( powerset @ ( powerset @ X4 ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(binunionT_lem, axiom, binunionT_lem =
% 0.57/1.02 (![A:$i,X:$i]:
% 0.57/1.02 ( ( in @ X @ ( powerset @ A ) ) =>
% 0.57/1.02 ( ![Y:$i]:
% 0.57/1.02 ( ( in @ Y @ ( powerset @ A ) ) =>
% 0.57/1.02 ( in @ ( binunion @ X @ Y ) @ ( powerset @ A ) ) ) ) ))).
% 0.57/1.02 thf('24', plain,
% 0.57/1.02 (( binunionT_lem ) =
% 0.57/1.02 ( ![X4:$i,X6:$i]:
% 0.57/1.02 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( ![X8:$i]:
% 0.57/1.02 ( ( in @ X8 @ ( powerset @ X4 ) ) =>
% 0.57/1.02 ( in @ ( binunion @ X6 @ X8 ) @ ( powerset @ X4 ) ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(ubforcartprodlem3, axiom, ubforcartprodlem3 =
% 0.57/1.02 (![A:$i,B:$i,Xx:$i]:
% 0.57/1.02 ( ( in @ Xx @ A ) =>
% 0.57/1.02 ( ![Xy:$i]:
% 0.57/1.02 ( ( in @ Xy @ B ) =>
% 0.57/1.02 ( in @
% 0.57/1.02 ( kpair @ Xx @ Xy ) @
% 0.57/1.02 ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ))).
% 0.57/1.02 thf('25', plain,
% 0.57/1.02 (( ubforcartprodlem3 ) =
% 0.57/1.02 ( ![X4:$i,X6:$i,X8:$i]:
% 0.57/1.02 ( ( in @ X8 @ X4 ) =>
% 0.57/1.02 ( ![X10:$i]:
% 0.57/1.02 ( ( in @ X10 @ X6 ) =>
% 0.57/1.02 ( in @
% 0.57/1.02 ( kpair @ X8 @ X10 ) @
% 0.57/1.02 ( powerset @ ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(ubforcartprodlem2, axiom, ubforcartprodlem2 =
% 0.57/1.02 (![A:$i,B:$i,Xx:$i]:
% 0.57/1.02 ( ( in @ Xx @ A ) =>
% 0.57/1.02 ( ![Xy:$i]:
% 0.57/1.02 ( ( in @ Xy @ B ) =>
% 0.57/1.02 ( in @
% 0.57/1.02 ( setadjoin @
% 0.57/1.02 ( setadjoin @ Xx @ emptyset ) @
% 0.57/1.02 ( setadjoin @
% 0.57/1.02 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) @
% 0.57/1.02 ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ))).
% 0.57/1.02 thf('26', plain,
% 0.57/1.02 (( ubforcartprodlem2 ) =
% 0.57/1.02 ( ![X4:$i,X6:$i,X8:$i]:
% 0.57/1.02 ( ( in @ X8 @ X4 ) =>
% 0.57/1.02 ( ![X10:$i]:
% 0.57/1.02 ( ( in @ X10 @ X6 ) =>
% 0.57/1.02 ( in @
% 0.57/1.02 ( setadjoin @
% 0.57/1.02 ( setadjoin @ X8 @ emptyset ) @
% 0.57/1.02 ( setadjoin @
% 0.57/1.02 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @
% 0.57/1.02 emptyset ) ) @
% 0.57/1.02 ( powerset @ ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(ubforcartprodlem1, axiom, ubforcartprodlem1 =
% 0.57/1.02 (![A:$i,B:$i,Xx:$i]:
% 0.57/1.02 ( ( in @ Xx @ A ) =>
% 0.57/1.02 ( ![Xy:$i]:
% 0.57/1.02 ( ( in @ Xy @ B ) =>
% 0.57/1.02 ( subset @
% 0.57/1.02 ( setadjoin @
% 0.57/1.02 ( setadjoin @ Xx @ emptyset ) @
% 0.57/1.02 ( setadjoin @
% 0.57/1.02 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) @
% 0.57/1.02 ( powerset @ ( binunion @ A @ B ) ) ) ) ) ))).
% 0.57/1.02 thf('27', plain,
% 0.57/1.02 (( ubforcartprodlem1 ) =
% 0.57/1.02 ( ![X4:$i,X6:$i,X8:$i]:
% 0.57/1.02 ( ( in @ X8 @ X4 ) =>
% 0.57/1.02 ( ![X10:$i]:
% 0.57/1.02 ( ( in @ X10 @ X6 ) =>
% 0.57/1.02 ( subset @
% 0.57/1.02 ( setadjoin @
% 0.57/1.02 ( setadjoin @ X8 @ emptyset ) @
% 0.57/1.02 ( setadjoin @
% 0.57/1.02 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @
% 0.57/1.02 emptyset ) ) @
% 0.57/1.02 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(upairinpowunion, axiom, upairinpowunion =
% 0.57/1.02 (![A:$i,B:$i,Xx:$i]:
% 0.57/1.02 ( ( in @ Xx @ A ) =>
% 0.57/1.02 ( ![Xy:$i]:
% 0.57/1.02 ( ( in @ Xy @ B ) =>
% 0.57/1.02 ( in @
% 0.57/1.02 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @
% 0.57/1.02 ( powerset @ ( binunion @ A @ B ) ) ) ) ) ))).
% 0.57/1.02 thf('28', plain,
% 0.57/1.02 (( upairinpowunion ) =
% 0.57/1.02 ( ![X4:$i,X6:$i,X8:$i]:
% 0.57/1.02 ( ( in @ X8 @ X4 ) =>
% 0.57/1.02 ( ![X10:$i]:
% 0.57/1.02 ( ( in @ X10 @ X6 ) =>
% 0.57/1.02 ( in @
% 0.57/1.02 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @
% 0.57/1.02 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(upairsubunion, axiom, upairsubunion =
% 0.57/1.02 (![A:$i,B:$i,Xx:$i]:
% 0.57/1.02 ( ( in @ Xx @ A ) =>
% 0.57/1.02 ( ![Xy:$i]:
% 0.57/1.02 ( ( in @ Xy @ B ) =>
% 0.57/1.02 ( subset @
% 0.57/1.02 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @
% 0.57/1.02 ( binunion @ A @ B ) ) ) ) ))).
% 0.57/1.02 thf('29', plain,
% 0.57/1.02 (( upairsubunion ) =
% 0.57/1.02 ( ![X4:$i,X6:$i,X8:$i]:
% 0.57/1.02 ( ( in @ X8 @ X4 ) =>
% 0.57/1.02 ( ![X10:$i]:
% 0.57/1.02 ( ( in @ X10 @ X6 ) =>
% 0.57/1.02 ( subset @
% 0.57/1.02 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @
% 0.57/1.02 ( binunion @ X4 @ X6 ) ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(singletoninpowunion, axiom, singletoninpowunion =
% 0.57/1.02 (![A:$i,B:$i,Xx:$i]:
% 0.57/1.02 ( ( in @ Xx @ A ) =>
% 0.57/1.02 ( in @
% 0.57/1.02 ( setadjoin @ Xx @ emptyset ) @ ( powerset @ ( binunion @ A @ B ) ) ) ))).
% 0.57/1.02 thf('30', plain,
% 0.57/1.02 (( singletoninpowunion ) =
% 0.57/1.02 ( ![X4:$i,X6:$i,X8:$i]:
% 0.57/1.02 ( ( in @ X8 @ X4 ) =>
% 0.57/1.02 ( in @
% 0.57/1.02 ( setadjoin @ X8 @ emptyset ) @
% 0.57/1.02 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(setminusSubset1, axiom, setminusSubset1 =
% 0.57/1.02 (![A:$i,B:$i]:
% 0.57/1.02 ( ( ( setminus @ A @ B ) = ( emptyset ) ) => ( subset @ A @ B ) ))).
% 0.57/1.02 thf('31', plain,
% 0.57/1.02 (( setminusSubset1 ) =
% 0.57/1.02 ( ![X4:$i,X6:$i]:
% 0.57/1.02 ( ( ( setminus @ X4 @ X6 ) = ( emptyset ) ) => ( subset @ X4 @ X6 ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(setminusLsub, axiom, setminusLsub =
% 0.57/1.02 (![A:$i,B:$i]: ( subset @ ( setminus @ A @ B ) @ A ))).
% 0.57/1.02 thf('32', plain,
% 0.57/1.02 (( setminusLsub ) =
% 0.57/1.02 ( ![X4:$i,X6:$i]: ( subset @ ( setminus @ X4 @ X6 ) @ X4 ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(setminusIRneg, axiom, setminusIRneg =
% 0.57/1.02 (![A:$i,B:$i,Xx:$i]:
% 0.57/1.02 ( ( in @ Xx @ B ) => ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) ))).
% 0.57/1.02 thf('33', plain,
% 0.57/1.02 (( setminusIRneg ) =
% 0.57/1.02 ( ![X4:$i,X6:$i,X8:$i]:
% 0.57/1.02 ( ( in @ X8 @ X6 ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(setminusILneg, axiom, setminusILneg =
% 0.57/1.02 (![A:$i,B:$i,Xx:$i]:
% 0.57/1.02 ( ( ~( in @ Xx @ A ) ) => ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) ))).
% 0.57/1.02 thf('34', plain,
% 0.57/1.02 (( setminusILneg ) =
% 0.57/1.02 ( ![X4:$i,X6:$i,X8:$i]:
% 0.57/1.02 ( ( ~( in @ X8 @ X4 ) ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(setminusELneg, axiom, setminusELneg =
% 0.57/1.02 (![A:$i,B:$i,Xx:$i]:
% 0.57/1.02 ( ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) =>
% 0.57/1.02 ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))).
% 0.57/1.02 thf('35', plain,
% 0.57/1.02 (( setminusELneg ) =
% 0.57/1.02 ( ![X4:$i,X6:$i,X8:$i]:
% 0.57/1.02 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) =>
% 0.57/1.02 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.02 thf(setminusERneg, axiom, setminusERneg =
% 0.57/1.02 (![A:$i,B:$i,Xx:$i]:
% 0.57/1.02 ( ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) =>
% 0.57/1.02 ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))).
% 0.57/1.02 thf('36', plain,
% 0.57/1.02 (( setminusERneg ) =
% 0.57/1.02 ( ![X4:$i,X6:$i,X8:$i]:
% 0.57/1.02 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) =>
% 0.57/1.02 ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )),
% 0.57/1.02 define([status(thm)])).
% 0.57/1.03 thf(setminusSubset2, axiom, setminusSubset2 =
% 0.57/1.03 (![A:$i,B:$i]:
% 0.57/1.03 ( ( subset @ A @ B ) => ( ( setminus @ A @ B ) = ( emptyset ) ) ))).
% 0.57/1.03 thf('37', plain,
% 0.57/1.03 (( setminusSubset2 ) =
% 0.57/1.03 ( ![X4:$i,X6:$i]:
% 0.57/1.03 ( ( subset @ X4 @ X6 ) => ( ( setminus @ X4 @ X6 ) = ( emptyset ) ) ) )),
% 0.57/1.03 define([status(thm)])).
% 0.57/1.03 thf(setminusER, axiom, setminusER =
% 0.57/1.03 (![A:$i,B:$i,Xx:$i]:
% 0.57/1.03 ( ( in @ Xx @ ( setminus @ A @ B ) ) => ( ~( in @ Xx @ B ) ) ))).
% 0.57/1.03 thf('38', plain,
% 0.57/1.03 (( setminusER ) =
% 0.57/1.03 ( ![X4:$i,X6:$i,X8:$i]:
% 0.57/1.03 ( ( in @ X8 @ ( setminus @ X4 @ X6 ) ) => ( ~( in @ X8 @ X6 ) ) ) )),
% 0.57/1.03 define([status(thm)])).
% 0.57/1.03 thf(setminusEL, axiom, setminusEL =
% 0.57/1.03 (![A:$i,B:$i,Xx:$i]:
% 0.57/1.03 ( ( in @ Xx @ ( setminus @ A @ B ) ) => ( in @ Xx @ A ) ))).
% 0.57/1.03 thf('39', plain,
% 0.57/1.03 (( setminusEL ) =
% 0.57/1.03 ( ![X4:$i,X6:$i,X8:$i]:
% 0.57/1.03 ( ( in @ X8 @ ( setminus @ X4 @ X6 ) ) => ( in @ X8 @ X4 ) ) )),
% 0.57/1.03 define([status(thm)])).
% 0.57/1.03 thf(setminusI, axiom, setminusI =
% 0.57/1.03 (![A:$i,B:$i,Xx:$i]:
% 0.57/1.03 ( ( in @ Xx @ A ) =>
% 0.57/1.03 ( ( ~( in @ Xx @ B ) ) => ( in @ Xx @ ( setminus @ A @ B ) ) ) ))).
% 0.57/1.03 thf('40', plain,
% 0.57/1.03 (( setminusI ) =
% 0.57/1.03 ( ![X4:$i,X6:$i,X8:$i]:
% 0.57/1.03 ( ( in @ X8 @ X4 ) =>
% 0.57/1.03 ( ( ~( in @ X8 @ X6 ) ) => ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )),
% 0.57/1.03 define([status(thm)])).
% 0.57/1.03 thf(bs114d, axiom, bs114d =
% 0.57/1.03 (![A:$i,B:$i,C:$i]:
% 0.57/1.03 ( ( binintersect @ A @ ( binunion @ B @ C ) ) =
% 0.57/1.03 ( binunion @ ( binintersect @ A @ B ) @ ( binintersect @ A @ C ) ) ))).
% 0.57/1.03 thf('41', plain,
% 0.57/1.03 (( bs114d ) =
% 0.57/1.03 ( ![X4:$i,X6:$i,X8:$i]:
% 0.57/1.03 ( ( binintersect @ X4 @ ( binunion @ X6 @ X8 ) ) =
% 0.57/1.03 ( binunion @ ( binintersect @ X4 @ X6 ) @ ( binintersect @ X4 @ X8 ) ) ) )),
% 0.57/1.03 define([status(thm)])).
% 0.57/1.03 thf(binunionRsub, axiom, binunionRsub =
% 0.57/1.03 (![A:$i,B:$i]: ( subset @ B @ ( binunion @ A @ B ) ))).
% 0.57/1.03 thf('42', plain,
% 0.57/1.03 (( binunionRsub ) =
% 0.57/1.03 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( binunion @ X4 @ X6 ) ) )),
% 0.57/1.03 define([status(thm)])).
% 0.57/1.03 thf(binunionLsub, axiom, binunionLsub =
% 0.57/1.03 (![A:$i,B:$i]: ( subset @ A @ ( binunion @ A @ B ) ))).
% 0.57/1.03 thf('43', plain,
% 0.57/1.03 (( binunionLsub ) =
% 0.57/1.03 ( ![X4:$i,X6:$i]: ( subset @ X4 @ ( binunion @ X4 @ X6 ) ) )),
% 0.57/1.03 define([status(thm)])).
% 0.57/1.03 thf(binunionE, axiom, binunionE =
% 0.57/1.03 (![A:$i,B:$i,Xx:$i]:
% 0.57/1.03 ( ( in @ Xx @ ( binunion @ A @ B ) ) =>
% 0.57/1.03 ( ( in @ Xx @ A ) | ( in @ Xx @ B ) ) ))).
% 0.57/1.03 thf('44', plain,
% 0.57/1.03 (( binunionE ) =
% 0.57/1.03 ( ![X4:$i,X6:$i,X8:$i]:
% 0.57/1.03 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) =>
% 0.57/1.03 ( ( in @ X8 @ X4 ) | ( in @ X8 @ X6 ) ) ) )),
% 0.57/1.03 define([status(thm)])).
% 0.57/1.03 thf(binunionEcases, axiom, binunionEcases =
% 0.57/1.03 (![A:$i,B:$i,Xx:$i,Xphi:$o]:
% 0.57/1.03 ( ( in @ Xx @ ( binunion @ A @ B ) ) =>
% 0.57/1.03 ( ( ( in @ Xx @ A ) => ( Xphi ) ) =>
% 0.57/1.03 ( ( ( in @ Xx @ B ) => ( Xphi ) ) => ( Xphi ) ) ) ))).
% 0.57/1.03 thf('45', plain,
% 0.57/1.03 (( binunionEcases ) =
% 0.57/1.03 ( ![X4:$i,X6:$i,X8:$i,X10:$o]:
% 0.57/1.03 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) =>
% 0.57/1.03 ( ( ( in @ X8 @ X4 ) => ( X10 ) ) =>
% 0.57/1.03 ( ( ( in @ X8 @ X6 ) => ( X10 ) ) => ( X10 ) ) ) ) )),
% 0.57/1.03 define([status(thm)])).
% 0.57/1.03 thf(binunionIR, axiom, binunionIR =
% 0.57/1.03 (![A:$i,B:$i,Xx:$i]:
% 0.57/1.03 ( ( in @ Xx @ B ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))).
% 0.57/1.03 thf('46', plain,
% 0.57/1.03 (( binunionIR ) =
% 0.57/1.03 ( ![X4:$i,X6:$i,X8:$i]:
% 0.57/1.03 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )),
% 0.57/1.03 define([status(thm)])).
% 0.57/1.03 thf(binunionIL, axiom, binunionIL =
% 0.57/1.03 (![A:$i,B:$i,Xx:$i]:
% 0.57/1.03 ( ( in @ Xx @ A ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))).
% 0.57/1.03 thf('47', plain,
% 0.57/1.03 (( binunionIL ) =
% 0.57/1.03 ( ![X4:$i,X6:$i,X8:$i]:
% 0.57/1.03 ( ( in @ X8 @ X4 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )),
% 0.57/1.03 define([status(thm)])).
% 0.57/1.03 thf(inPowerset, axiom, inPowerset = (![A:$i]: ( in @ A @ ( powerset @ A ) ))).
% 0.57/1.03 thf('48', plain,
% 0.57/1.03 (( inPowerset ) = ( ![X4:$i]: ( in @ X4 @ ( powerset @ X4 ) ) )),
% 0.57/1.03 define([status(thm)])).
% 0.57/1.03 thf(powerset__Cong, axiom, powerset__Cong =
% 0.57/1.03 (![A:$i,B:$i]:
% 0.57/1.03 ( ( ( A ) = ( B ) ) => ( ( powerset @ A ) = ( powerset @ B ) ) ))).
% 0.57/1.03 thf('49', plain,
% 0.57/1.03 (( powerset__Cong ) =
% 0.57/1.03 ( ![X4:$i,X6:$i]:
% 0.57/1.03 ( ( ( X4 ) = ( X6 ) ) => ( ( powerset @ X4 ) = ( powerset @ X6 ) ) ) )),
% 0.57/1.03 define([status(thm)])).
% 0.57/1.03 thf(powersetE, axiom, powersetE =
% 0.57/1.03 (![A:$i,B:$i,Xx:$i]:
% 0.57/1.03 ( ( in @ B @ ( powerset @ A ) ) => ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ))).
% 0.57/1.03 thf('50', plain,
% 0.57/1.03 (( powersetE ) =
% 0.57/1.03 ( ![X4:$i,X6:$i,X8:$i]:
% 0.57/1.03 ( ( in @ X6 @ ( powerset @ X4 ) ) =>
% 0.57/1.03 ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) )),
% 0.57/1.03 define([status(thm)])).
% 0.57/1.03 thf(emptyInPowerset, axiom, emptyInPowerset =
% 0.57/1.03 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))).
% 0.57/1.03 thf('51', plain,
% 0.57/1.03 (( emptyInPowerset ) =
% 0.57/1.03 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )),
% 0.57/1.03 define([status(thm)])).
% 0.57/1.03 thf(emptyinPowerset, axiom, emptyinPowerset =
% 0.57/1.03 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))).
% 0.57/1.03 thf('52', plain,
% 0.57/1.03 (( emptyinPowerset ) =
% 0.57/1.03 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )),
% 0.57/1.03 define([status(thm)])).
% 0.57/1.03 thf(powersetI, axiom, powersetI =
% 0.57/1.03 (![A:$i,B:$i]:
% 0.57/1.03 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) =>
% 0.57/1.03 ( in @ B @ ( powerset @ A ) ) ))).
% 0.57/1.03 thf('53', plain,
% 0.57/1.03 (( powersetI ) =
% 0.57/1.03 ( ![X4:$i,X6:$i]:
% 0.57/1.03 ( ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) =>
% 0.57/1.03 ( in @ X6 @ ( powerset @ X4 ) ) ) )),
% 0.57/1.03 define([status(thm)])).
% 0.57/1.03 thf(powersetAx, axiom, powersetAx =
% 0.57/1.03 (![A:$i,B:$i]:
% 0.57/1.03 ( ( in @ B @ ( powerset @ A ) ) <=>
% 0.57/1.03 ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) ))).
% 0.57/1.03 thf('54', plain,
% 0.57/1.03 (( powersetAx ) =
% 0.57/1.03 ( ![X4:$i,X6:$i]:
% 0.57/1.03 ( ( in @ X6 @ ( powerset @ X4 ) ) <=>
% 0.57/1.03 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) )),
% 0.57/1.03 define([status(thm)])).
% 0.57/1.03 thf(inComplementUnionImpNotIn1, conjecture,
% 0.57/1.03 (( setextAx ) =>
% 0.57/1.03 ( ( emptysetAx ) =>
% 0.57/1.03 ( ( setadjoinAx ) =>
% 0.57/1.03 ( ( powersetAx ) =>
% 0.57/1.03 ( ( setunionAx ) =>
% 0.57/1.03 ( ( omega0Ax ) =>
% 0.57/1.03 ( ( omegaSAx ) =>
% 0.57/1.03 ( ( omegaIndAx ) =>
% 0.57/1.03 ( ( replAx ) =>
% 0.57/1.03 ( ( foundationAx ) =>
% 0.57/1.03 ( ( wellorderingAx ) =>
% 0.57/1.03 ( ( descrp ) =>
% 0.57/1.03 ( ( dsetconstrI ) =>
% 0.57/1.03 ( ( dsetconstrEL ) =>
% 0.57/1.03 ( ( dsetconstrER ) =>
% 0.57/1.03 ( ( exuE1 ) =>
% 0.57/1.03 ( ( prop2setE ) =>
% 0.57/1.03 ( ( emptysetE ) =>
% 0.57/1.03 ( ( emptysetimpfalse ) =>
% 0.57/1.03 ( ( notinemptyset ) =>
% 0.57/1.03 ( ( exuE3e ) =>
% 0.57/1.03 ( ( setext ) =>
% 0.57/1.03 ( ( emptyI ) =>
% 0.57/1.03 ( ( noeltsimpempty ) =>
% 0.57/1.03 ( ( setbeta ) =>
% 0.57/1.03 ( ( nonemptyE1 ) =>
% 0.57/1.03 ( ( nonemptyI ) =>
% 0.57/1.03 ( ( nonemptyI1 ) =>
% 0.57/1.03 ( ( setadjoinIL ) =>
% 0.57/1.03 ( ( emptyinunitempty ) =>
% 0.57/1.03 ( ( setadjoinIR ) =>
% 0.57/1.03 ( ( setadjoinE ) =>
% 0.57/1.03 ( (
% 0.57/1.03 setadjoinOr ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setoftrueEq ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 powersetI ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 emptyinPowerset ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 emptyInPowerset ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 powersetE ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setunionI ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setunionE ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 subPowSU ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 exuE2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 nonemptyImpWitness ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 uniqinunit ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 notinsingleton ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 eqinunit ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 singletonsswitch ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 upairsetE ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 upairsetIL ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 upairsetIR ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 emptyE1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 vacuousDall ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 quantDeMorgan1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 quantDeMorgan2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 quantDeMorgan3 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 quantDeMorgan4 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 prop2setI ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 prop2set2propI ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 notdexE ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 notdallE ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 exuI1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 exuI3 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 exuI2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 inCongP ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in__Cong ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 exuE3u ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 exu__Cong ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 emptyset__Cong ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setadjoin__Cong ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 powerset__Cong ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setunion__Cong ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 omega__Cong ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 exuEu ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 descr__Cong ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 dsetconstr__Cong ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 subsetI1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 eqimpsubset2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 eqimpsubset1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 subsetI2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 emptysetsubset ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 subsetE ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 subsetE2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 notsubsetI ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 notequalI1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 notequalI2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 subsetRefl ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 subsetTrans ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setadjoinSub ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setadjoinSub2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 subset2powerset ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setextsub ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 subsetemptysetimpeq ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 powersetI1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 powersetE1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 inPowerset ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 powersetsubset ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 sepInPowerset ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 sepSubset ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binunionIL ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 upairset2IR ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binunionIR ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binunionEcases ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binunionE ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binunionLsub ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binunionRsub ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binintersectI ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binintersectSubset5 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binintersectEL ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binintersectLsub ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binintersectSubset2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binintersectSubset3 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binintersectER ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 disjointsetsI1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binintersectRsub ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binintersectSubset4 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binintersectSubset1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 bs114d ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setminusI ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setminusEL ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setminusER ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setminusSubset2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setminusERneg ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setminusELneg ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setminusILneg ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setminusIRneg ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setminusLsub ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setminusSubset1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 symdiffE ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 symdiffI1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 symdiffI2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 symdiffIneg1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 symdiffIneg2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 secondinupair ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setukpairIL ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setukpairIR ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 kpairiskpair ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 kpairp ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 singletonsubset ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 singletoninpowerset ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 singletoninpowunion ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 upairset2E ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 upairsubunion ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 upairinpowunion ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ubforcartprodlem1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ubforcartprodlem2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ubforcartprodlem3 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 cartprodpairin ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 cartprodmempair1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 cartprodmempair ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setunionE2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setunionsingleton1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setunionsingleton2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setunionsingleton ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 singletonprop ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ex1E1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ex1I ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ex1I2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 singletonsuniq ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setukpairinjL1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 kfstsingleton ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 theprop ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 kfstpairEq ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 cartprodfstin ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setukpairinjL2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setukpairinjL ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setukpairinjR11 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setukpairinjR12 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setukpairinjR1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 upairequniteq ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setukpairinjR2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setukpairinjR ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ksndsingleton ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ksndpairEq ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 kpairsurjEq ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 cartprodsndin ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 cartprodpairmemEL ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 cartprodpairmemER ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 cartprodmempaircEq ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 cartprodfstpairEq ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 cartprodsndpairEq ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 cartprodpairsurjEq ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 dpsetconstrI ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 dpsetconstrSub ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setOfPairsIsBReln ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 dpsetconstrERa ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 dpsetconstrEL1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 dpsetconstrEL2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 dpsetconstrER ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 funcImageSingleton ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 apProp ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 app ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 infuncsetfunc ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ap2p ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 funcinfuncset ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 lamProp ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 lamp ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 lam2p ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 brelnall1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 brelnall2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ex1E2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 funcGraphProp1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 funcGraphProp3 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 funcGraphProp2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 funcextLem ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 funcGraphProp4 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 subbreln ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 eqbreln ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 funcext ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 funcext2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ap2apEq1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ap2apEq2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 beta1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 eta1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 lam2lamEq ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 beta2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 eta2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 iffalseProp1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 iffalseProp2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 iftrueProp1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 iftrueProp2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ifSingleton ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ifp ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 theeq ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 iftrue ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 iffalse ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 iftrueorfalse ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binintersectT_lem ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binunionT_lem ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 powersetT_lem ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setminusT_lem ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 complementT_lem ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setextT ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 subsetTI ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 powersetTI1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 powersetTE1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 complementTI1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 complementTE1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binintersectTELcontra ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binintersectTERcontra ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 contrasubsetT ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 contrasubsetT1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 contrasubsetT2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 contrasubsetT3 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 doubleComplementI1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 doubleComplementE1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 doubleComplementSub1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 doubleComplementSub2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 doubleComplementEq ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 complementTnotintersectT ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 complementImpComplementIntersect ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 complementSubsetComplementIntersect ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 complementInPowersetComplementIntersect ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 contraSubsetComplement ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 complementTcontraSubset ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binunionTILcontra ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binunionTIRcontra ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 inIntersectImpInUnion ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 inIntersectImpInUnion2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 inIntersectImpInIntersectUnions ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 intersectInPowersetIntersectUnions ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 A:$i,X:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 A ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 Y:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 Y @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 A ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 Xx:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 Xx @ A ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 Xx @
% 0.57/1.03 (
% 0.57/1.03 setminus @
% 0.57/1.03 A @
% 0.57/1.03 (
% 0.57/1.03 binunion @
% 0.57/1.03 X @ Y ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ~(
% 0.57/1.03 in @
% 0.57/1.03 Xx @ X ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.57/1.03 thf(zf_stmt_0, conjecture,
% 0.57/1.03 (( setextAx ) =>
% 0.57/1.03 ( ( emptysetAx ) =>
% 0.57/1.03 ( ( setadjoinAx ) =>
% 0.57/1.03 ( ( ![X4:$i,X6:$i]:
% 0.57/1.03 ( ( in @ X6 @ ( powerset @ X4 ) ) <=>
% 0.57/1.03 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) ) =>
% 0.57/1.03 ( ( setunionAx ) =>
% 0.57/1.03 ( ( omega0Ax ) =>
% 0.57/1.03 ( ( omegaSAx ) =>
% 0.57/1.03 ( ( omegaIndAx ) =>
% 0.57/1.03 ( ( replAx ) =>
% 0.57/1.03 ( ( foundationAx ) =>
% 0.57/1.03 ( ( wellorderingAx ) =>
% 0.57/1.03 ( ( descrp ) =>
% 0.57/1.03 ( ( dsetconstrI ) =>
% 0.57/1.03 ( ( dsetconstrEL ) =>
% 0.57/1.03 ( ( dsetconstrER ) =>
% 0.57/1.03 ( ( exuE1 ) =>
% 0.57/1.03 ( ( prop2setE ) =>
% 0.57/1.03 ( ( emptysetE ) =>
% 0.57/1.03 ( ( emptysetimpfalse ) =>
% 0.57/1.03 ( ( notinemptyset ) =>
% 0.57/1.03 ( ( exuE3e ) =>
% 0.57/1.03 ( ( setext ) =>
% 0.57/1.03 ( ( emptyI ) =>
% 0.57/1.03 ( ( noeltsimpempty ) =>
% 0.57/1.03 ( ( setbeta ) =>
% 0.57/1.03 ( ( nonemptyE1 ) =>
% 0.57/1.03 ( ( nonemptyI ) =>
% 0.57/1.03 ( ( nonemptyI1 ) =>
% 0.57/1.03 ( ( setadjoinIL ) =>
% 0.57/1.03 ( ( emptyinunitempty ) =>
% 0.57/1.03 ( ( setadjoinIR ) =>
% 0.57/1.03 ( ( setadjoinE ) =>
% 0.57/1.03 ( (
% 0.57/1.03 setadjoinOr ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setoftrueEq ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X10:$i,
% 0.57/1.03 X12:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X14:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X14 @ X12 ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X14 @ X10 ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X12 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X10 ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X16:$i]:
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 emptyset @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X16 ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X18:$i]:
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 emptyset @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X18 ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X20:$i,
% 0.57/1.03 X22:$i,
% 0.57/1.03 X24:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X22 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X20 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X24 @ X22 ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X24 @ X20 ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setunionI ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setunionE ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 subPowSU ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 exuE2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 nonemptyImpWitness ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 uniqinunit ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 notinsingleton ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 eqinunit ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 singletonsswitch ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 upairsetE ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 upairsetIL ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 upairsetIR ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 emptyE1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 vacuousDall ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 quantDeMorgan1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 quantDeMorgan2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 quantDeMorgan3 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 quantDeMorgan4 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 prop2setI ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 prop2set2propI ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 notdexE ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 notdallE ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 exuI1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 exuI3 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 exuI2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 inCongP ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in__Cong ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 exuE3u ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 exu__Cong ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 emptyset__Cong ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setadjoin__Cong ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X26:$i,
% 0.57/1.03 X28:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 X26 ) =
% 0.57/1.03 (
% 0.57/1.03 X28 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X26 ) =
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X28 ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setunion__Cong ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 omega__Cong ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 exuEu ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 descr__Cong ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 dsetconstr__Cong ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 subsetI1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 eqimpsubset2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 eqimpsubset1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 subsetI2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 emptysetsubset ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 subsetE ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 subsetE2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 notsubsetI ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 notequalI1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 notequalI2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 subsetRefl ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 subsetTrans ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setadjoinSub ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setadjoinSub2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 subset2powerset ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setextsub ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 subsetemptysetimpeq ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 powersetI1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 powersetE1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X30:$i]:
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X30 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X30 ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 powersetsubset ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 sepInPowerset ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 sepSubset ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X32:$i,
% 0.57/1.03 X34:$i,
% 0.57/1.03 X36:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X36 @ X32 ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X36 @
% 0.57/1.03 (
% 0.57/1.03 binunion @
% 0.57/1.03 X32 @ X34 ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 upairset2IR ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X38:$i,
% 0.57/1.03 X40:$i,
% 0.57/1.03 X42:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X42 @ X40 ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X42 @
% 0.57/1.03 (
% 0.57/1.03 binunion @
% 0.57/1.03 X38 @ X40 ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X44:$i,
% 0.57/1.03 X46:$i,
% 0.57/1.03 X48:$i,
% 0.57/1.03 X50:$o]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X48 @
% 0.57/1.03 (
% 0.57/1.03 binunion @
% 0.57/1.03 X44 @ X46 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X48 @ X44 ) =>
% 0.57/1.03 (
% 0.57/1.03 X50 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X48 @ X46 ) =>
% 0.57/1.03 (
% 0.57/1.03 X50 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 X50 ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X52:$i,
% 0.57/1.03 X54:$i,
% 0.57/1.03 X56:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X56 @
% 0.57/1.03 (
% 0.57/1.03 binunion @
% 0.57/1.03 X52 @ X54 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X56 @ X54 ) |
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X56 @ X52 ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X58:$i,
% 0.57/1.03 X60:$i]:
% 0.57/1.03 (
% 0.57/1.03 subset @
% 0.57/1.03 X58 @
% 0.57/1.03 (
% 0.57/1.03 binunion @
% 0.57/1.03 X58 @ X60 ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X62:$i,
% 0.57/1.03 X64:$i]:
% 0.57/1.03 (
% 0.57/1.03 subset @
% 0.57/1.03 X64 @
% 0.57/1.03 (
% 0.57/1.03 binunion @
% 0.57/1.03 X62 @ X64 ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binintersectI ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binintersectSubset5 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binintersectEL ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binintersectLsub ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binintersectSubset2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binintersectSubset3 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binintersectER ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 disjointsetsI1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binintersectRsub ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binintersectSubset4 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binintersectSubset1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X66:$i,
% 0.57/1.03 X68:$i,
% 0.57/1.03 X70:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binintersect
% 0.57/1.03 @
% 0.57/1.03 X66 @
% 0.57/1.03 (
% 0.57/1.03 binunion @
% 0.57/1.03 X68 @ X70 ) ) =
% 0.57/1.03 (
% 0.57/1.03 binunion @
% 0.57/1.03 (
% 0.57/1.03 binintersect
% 0.57/1.03 @
% 0.57/1.03 X66 @ X68 ) @
% 0.57/1.03 (
% 0.57/1.03 binintersect
% 0.57/1.03 @
% 0.57/1.03 X66 @ X70 ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X72:$i,
% 0.57/1.03 X74:$i,
% 0.57/1.03 X76:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X76 @ X72 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ~(
% 0.57/1.03 in @
% 0.57/1.03 X76 @ X74 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X76 @
% 0.57/1.03 (
% 0.57/1.03 setminus @
% 0.57/1.03 X72 @ X74 ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X78:$i,
% 0.57/1.03 X80:$i,
% 0.57/1.03 X82:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X82 @
% 0.57/1.03 (
% 0.57/1.03 setminus @
% 0.57/1.03 X78 @ X80 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X82 @ X78 ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X84:$i,
% 0.57/1.03 X86:$i,
% 0.57/1.03 X88:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X88 @
% 0.57/1.03 (
% 0.57/1.03 setminus @
% 0.57/1.03 X84 @ X86 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ~(
% 0.57/1.03 in @
% 0.57/1.03 X88 @ X86 ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X90:$i,
% 0.57/1.03 X92:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 subset @
% 0.57/1.03 X90 @ X92 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setminus @
% 0.57/1.03 X90 @ X92 ) =
% 0.57/1.03 (
% 0.57/1.03 emptyset ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X94:$i,
% 0.57/1.03 X96:$i,
% 0.57/1.03 X98:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ~(
% 0.57/1.03 in @
% 0.57/1.03 X98 @
% 0.57/1.03 (
% 0.57/1.03 setminus
% 0.57/1.03 @
% 0.57/1.03 X94 @ X96 ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X98 @ X94 ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X98 @ X96 ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X100:$i,
% 0.57/1.03 X102:$i,
% 0.57/1.03 X104:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ~(
% 0.57/1.03 in @
% 0.57/1.03 X104 @
% 0.57/1.03 (
% 0.57/1.03 setminus
% 0.57/1.03 @
% 0.57/1.03 X100 @
% 0.57/1.03 X102 ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ~(
% 0.57/1.03 in @
% 0.57/1.03 X104 @
% 0.57/1.03 X102 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ~(
% 0.57/1.03 in @
% 0.57/1.03 X104 @
% 0.57/1.03 X100 ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X106:$i,
% 0.57/1.03 X108:$i,
% 0.57/1.03 X110:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ~(
% 0.57/1.03 in @
% 0.57/1.03 X110 @
% 0.57/1.03 X106 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ~(
% 0.57/1.03 in @
% 0.57/1.03 X110 @
% 0.57/1.03 (
% 0.57/1.03 setminus
% 0.57/1.03 @
% 0.57/1.03 X106 @
% 0.57/1.03 X108 ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X112:$i,
% 0.57/1.03 X114:$i,
% 0.57/1.03 X116:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X116 @
% 0.57/1.03 X114 ) =>
% 0.57/1.03 (
% 0.57/1.03 ~(
% 0.57/1.03 in @
% 0.57/1.03 X116 @
% 0.57/1.03 (
% 0.57/1.03 setminus
% 0.57/1.03 @
% 0.57/1.03 X112 @
% 0.57/1.03 X114 ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X118:$i,
% 0.57/1.03 X120:$i]:
% 0.57/1.03 (
% 0.57/1.03 subset @
% 0.57/1.03 (
% 0.57/1.03 setminus @
% 0.57/1.03 X118 @
% 0.57/1.03 X120 ) @
% 0.57/1.03 X118 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X122:$i,
% 0.57/1.03 X124:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setminus @
% 0.57/1.03 X122 @
% 0.57/1.03 X124 ) =
% 0.57/1.03 (
% 0.57/1.03 emptyset ) ) =>
% 0.57/1.03 (
% 0.57/1.03 subset @
% 0.57/1.03 X122 @
% 0.57/1.03 X124 ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 symdiffE ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 symdiffI1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 symdiffI2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 symdiffIneg1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 symdiffIneg2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 secondinupair ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setukpairIL ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setukpairIR ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 kpairiskpair ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 kpairp ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 singletonsubset ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 singletoninpowerset ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X126:$i,
% 0.57/1.03 X128:$i,
% 0.57/1.03 X130:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X130 @
% 0.57/1.03 X126 ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 (
% 0.57/1.03 setadjoin
% 0.57/1.03 @
% 0.57/1.03 X130 @
% 0.57/1.03 emptyset ) @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 (
% 0.57/1.03 binunion @
% 0.57/1.03 X126 @
% 0.57/1.03 X128 ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 upairset2E ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X132:$i,
% 0.57/1.03 X134:$i,
% 0.57/1.03 X136:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X136 @
% 0.57/1.03 X132 ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X138:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X138 @
% 0.57/1.03 X134 ) =>
% 0.57/1.03 (
% 0.57/1.03 subset @
% 0.57/1.03 (
% 0.57/1.03 setadjoin
% 0.57/1.03 @
% 0.57/1.03 X136 @
% 0.57/1.03 (
% 0.57/1.03 setadjoin
% 0.57/1.03 @
% 0.57/1.03 X138 @
% 0.57/1.03 emptyset ) ) @
% 0.57/1.03 (
% 0.57/1.03 binunion @
% 0.57/1.03 X132 @
% 0.57/1.03 X134 ) ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X140:$i,
% 0.57/1.03 X142:$i,
% 0.57/1.03 X144:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X144 @
% 0.57/1.03 X140 ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X146:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X146 @
% 0.57/1.03 X142 ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 (
% 0.57/1.03 setadjoin
% 0.57/1.03 @
% 0.57/1.03 X144 @
% 0.57/1.03 (
% 0.57/1.03 setadjoin
% 0.57/1.03 @
% 0.57/1.03 X146 @
% 0.57/1.03 emptyset ) ) @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 (
% 0.57/1.03 binunion @
% 0.57/1.03 X140 @
% 0.57/1.03 X142 ) ) ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X148:$i,
% 0.57/1.03 X150:$i,
% 0.57/1.03 X152:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X152 @
% 0.57/1.03 X148 ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X154:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X154 @
% 0.57/1.03 X150 ) =>
% 0.57/1.03 (
% 0.57/1.03 subset @
% 0.57/1.03 (
% 0.57/1.03 setadjoin
% 0.57/1.03 @
% 0.57/1.03 (
% 0.57/1.03 setadjoin
% 0.57/1.03 @
% 0.57/1.03 X152 @
% 0.57/1.03 emptyset ) @
% 0.57/1.03 (
% 0.57/1.03 setadjoin
% 0.57/1.03 @
% 0.57/1.03 (
% 0.57/1.03 setadjoin
% 0.57/1.03 @
% 0.57/1.03 X152 @
% 0.57/1.03 (
% 0.57/1.03 setadjoin
% 0.57/1.03 @
% 0.57/1.03 X154 @
% 0.57/1.03 emptyset ) ) @
% 0.57/1.03 emptyset ) ) @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 (
% 0.57/1.03 binunion @
% 0.57/1.03 X148 @
% 0.57/1.03 X150 ) ) ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X156:$i,
% 0.57/1.03 X158:$i,
% 0.57/1.03 X160:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X160 @
% 0.57/1.03 X156 ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X162:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X162 @
% 0.57/1.03 X158 ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 (
% 0.57/1.03 setadjoin
% 0.57/1.03 @
% 0.57/1.03 (
% 0.57/1.03 setadjoin
% 0.57/1.03 @
% 0.57/1.03 X160 @
% 0.57/1.03 emptyset ) @
% 0.57/1.03 (
% 0.57/1.03 setadjoin
% 0.57/1.03 @
% 0.57/1.03 (
% 0.57/1.03 setadjoin
% 0.57/1.03 @
% 0.57/1.03 X160 @
% 0.57/1.03 (
% 0.57/1.03 setadjoin
% 0.57/1.03 @
% 0.57/1.03 X162 @
% 0.57/1.03 emptyset ) ) @
% 0.57/1.03 emptyset ) ) @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 (
% 0.57/1.03 binunion @
% 0.57/1.03 X156 @
% 0.57/1.03 X158 ) ) ) ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X164:$i,
% 0.57/1.03 X166:$i,
% 0.57/1.03 X168:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X168 @
% 0.57/1.03 X164 ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X170:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X170 @
% 0.57/1.03 X166 ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 (
% 0.57/1.03 kpair @
% 0.57/1.03 X168 @
% 0.57/1.03 X170 ) @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 (
% 0.57/1.03 binunion @
% 0.57/1.03 X164 @
% 0.57/1.03 X166 ) ) ) ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 cartprodpairin ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 cartprodmempair1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 cartprodmempair ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setunionE2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setunionsingleton1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setunionsingleton2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setunionsingleton ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 singletonprop ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ex1E1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ex1I ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ex1I2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 singletonsuniq ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setukpairinjL1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 kfstsingleton ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 theprop ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 kfstpairEq ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 cartprodfstin ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setukpairinjL2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setukpairinjL ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setukpairinjR11 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setukpairinjR12 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setukpairinjR1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 upairequniteq ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setukpairinjR2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setukpairinjR ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ksndsingleton ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ksndpairEq ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 kpairsurjEq ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 cartprodsndin ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 cartprodpairmemEL ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 cartprodpairmemER ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 cartprodmempaircEq ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 cartprodfstpairEq ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 cartprodsndpairEq ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 cartprodpairsurjEq ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 dpsetconstrI ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 dpsetconstrSub ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setOfPairsIsBReln ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 dpsetconstrERa ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 dpsetconstrEL1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 dpsetconstrEL2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 dpsetconstrER ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 funcImageSingleton ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 apProp ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 app ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 infuncsetfunc ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ap2p ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 funcinfuncset ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 lamProp ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 lamp ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 lam2p ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 brelnall1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 brelnall2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ex1E2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 funcGraphProp1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 funcGraphProp3 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 funcGraphProp2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 funcextLem ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 funcGraphProp4 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 subbreln ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 eqbreln ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 funcext ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 funcext2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ap2apEq1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ap2apEq2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 beta1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 eta1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 lam2lamEq ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 beta2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 eta2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 iffalseProp1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 iffalseProp2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 iftrueProp1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 iftrueProp2 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ifSingleton ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ifp ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 theeq ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 iftrue ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 iffalse ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 iftrueorfalse ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binintersectT_lem ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X172:$i,
% 0.57/1.03 X174:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X174 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X172 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X176:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X176 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X172 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 (
% 0.57/1.03 binunion @
% 0.57/1.03 X174 @
% 0.57/1.03 X176 ) @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X172 ) ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X178:$i,
% 0.57/1.03 X180:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X180 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X178 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X180 ) @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X178 ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X182:$i,
% 0.57/1.03 X184:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X184 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X182 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X186:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X186 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X182 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 (
% 0.57/1.03 setminus @
% 0.57/1.03 X184 @
% 0.57/1.03 X186 ) @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X182 ) ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X188:$i,
% 0.57/1.03 X190:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X190 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X188 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 (
% 0.57/1.03 setminus @
% 0.57/1.03 X188 @
% 0.57/1.03 X190 ) @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X188 ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X192:$i,
% 0.57/1.03 X194:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X194 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X192 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X196:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X196 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X192 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X198:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X198 @
% 0.57/1.03 X192 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X198 @
% 0.57/1.03 X194 ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X198 @
% 0.57/1.03 X196 ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X200:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X200 @
% 0.57/1.03 X192 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X200 @
% 0.57/1.03 X196 ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X200 @
% 0.57/1.03 X194 ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 X194 ) =
% 0.57/1.03 (
% 0.57/1.03 X196 ) ) ) ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 subsetTI ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X202:$i,
% 0.57/1.03 X204:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X204 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X202 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X206:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X206 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X202 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X208:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X208 @
% 0.57/1.03 X202 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X208 @
% 0.57/1.03 X204 ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X208 @
% 0.57/1.03 X206 ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X204 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X206 ) ) ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X210:$i,
% 0.57/1.03 X212:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X212 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X210 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X214:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X214 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X210 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X216:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X216 @
% 0.57/1.03 X210 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X212 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X214 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X216 @
% 0.57/1.03 X212 ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X216 @
% 0.57/1.03 X214 ) ) ) ) ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X218:$i,
% 0.57/1.03 X220:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X220 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X218 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X222:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X222 @
% 0.57/1.03 X218 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X222 @
% 0.57/1.03 X220 ) =>
% 0.57/1.03 (
% 0.57/1.03 ~(
% 0.57/1.03 in @
% 0.57/1.03 X222 @
% 0.57/1.03 (
% 0.57/1.03 setminus
% 0.57/1.03 @
% 0.57/1.03 X218 @
% 0.57/1.03 X220 ) ) ) ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X224:$i,
% 0.57/1.03 X226:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X226 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X224 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X228:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X228 @
% 0.57/1.03 X224 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ~(
% 0.57/1.03 in @
% 0.57/1.03 X228 @
% 0.57/1.03 (
% 0.57/1.03 setminus
% 0.57/1.03 @
% 0.57/1.03 X224 @
% 0.57/1.03 X226 ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X228 @
% 0.57/1.03 X226 ) ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binintersectTELcontra ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 binintersectTERcontra ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X230:$i,
% 0.57/1.03 X232:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X232 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X230 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X234:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X234 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X230 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X236:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X236 @
% 0.57/1.03 X230 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 subset @
% 0.57/1.03 X232 @
% 0.57/1.03 (
% 0.57/1.03 setminus @
% 0.57/1.03 X230 @
% 0.57/1.03 X234 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X236 @
% 0.57/1.03 X234 ) =>
% 0.57/1.03 (
% 0.57/1.03 ~(
% 0.57/1.03 in @
% 0.57/1.03 X236 @
% 0.57/1.03 X232 ) ) ) ) ) ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 contrasubsetT1 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X238:$i,
% 0.57/1.03 X240:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X240 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X238 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X242:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X242 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X238 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 subset @
% 0.57/1.03 X240 @
% 0.57/1.03 X242 ) =>
% 0.57/1.03 (
% 0.57/1.03 subset @
% 0.57/1.03 (
% 0.57/1.03 setminus @
% 0.57/1.03 X238 @
% 0.57/1.03 X242 ) @
% 0.57/1.03 (
% 0.57/1.03 setminus @
% 0.57/1.03 X238 @
% 0.57/1.03 X240 ) ) ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X244:$i,
% 0.57/1.03 X246:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X246 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X244 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X248:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X248 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X244 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 subset @
% 0.57/1.03 (
% 0.57/1.03 setminus @
% 0.57/1.03 X244 @
% 0.57/1.03 X248 ) @
% 0.57/1.03 (
% 0.57/1.03 setminus @
% 0.57/1.03 X244 @
% 0.57/1.03 X246 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 subset @
% 0.57/1.03 X246 @
% 0.57/1.03 X248 ) ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X250:$i,
% 0.57/1.03 X252:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X252 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X250 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X254:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X254 @
% 0.57/1.03 X250 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X254 @
% 0.57/1.03 X252 ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X254 @
% 0.57/1.03 (
% 0.57/1.03 setminus @
% 0.57/1.03 X250 @
% 0.57/1.03 (
% 0.57/1.03 setminus @
% 0.57/1.03 X250 @
% 0.57/1.03 X252 ) ) ) ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X256:$i,
% 0.57/1.03 X258:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X258 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X256 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X260:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X260 @
% 0.57/1.03 X256 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X260 @
% 0.57/1.03 (
% 0.57/1.03 setminus @
% 0.57/1.03 X256 @
% 0.57/1.03 (
% 0.57/1.03 setminus @
% 0.57/1.03 X256 @
% 0.57/1.03 X258 ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X260 @
% 0.57/1.03 X258 ) ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X262:$i,
% 0.57/1.03 X264:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X264 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X262 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 subset @
% 0.57/1.03 X264 @
% 0.57/1.03 (
% 0.57/1.03 setminus @
% 0.57/1.03 X262 @
% 0.57/1.03 (
% 0.57/1.03 setminus @
% 0.57/1.03 X262 @
% 0.57/1.03 X264 ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X266:$i,
% 0.57/1.03 X268:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X268 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X266 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 subset @
% 0.57/1.03 (
% 0.57/1.03 setminus @
% 0.57/1.03 X266 @
% 0.57/1.03 (
% 0.57/1.03 setminus @
% 0.57/1.03 X266 @
% 0.57/1.03 X268 ) ) @
% 0.57/1.03 X268 ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X270:$i,
% 0.57/1.03 X272:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X272 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X270 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 X272 ) =
% 0.57/1.03 (
% 0.57/1.03 setminus @
% 0.57/1.03 X270 @
% 0.57/1.03 (
% 0.57/1.03 setminus @
% 0.57/1.03 X270 @
% 0.57/1.03 X272 ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 complementTnotintersectT ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 complementImpComplementIntersect ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 complementSubsetComplementIntersect ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 complementInPowersetComplementIntersect ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X274:$i,
% 0.57/1.03 X276:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X276 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X274 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X278:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X278 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X274 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 subset @
% 0.57/1.03 X276 @
% 0.57/1.03 (
% 0.57/1.03 setminus @
% 0.57/1.03 X274 @
% 0.57/1.03 X278 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X280:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X280 @
% 0.57/1.03 X274 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X280 @
% 0.57/1.03 X278 ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X280 @
% 0.57/1.03 (
% 0.57/1.03 setminus @
% 0.57/1.03 X274 @
% 0.57/1.03 X276 ) ) ) ) ) ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X282:$i,
% 0.57/1.03 X284:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X284 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X282 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X286:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X286 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X282 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 subset @
% 0.57/1.03 X284 @
% 0.57/1.03 (
% 0.57/1.03 setminus @
% 0.57/1.03 X282 @
% 0.57/1.03 X286 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 subset @
% 0.57/1.03 X286 @
% 0.57/1.03 (
% 0.57/1.03 setminus @
% 0.57/1.03 X282 @
% 0.57/1.03 X284 ) ) ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X288:$i,
% 0.57/1.03 X290:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X290 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X288 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X292:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X292 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X288 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X294:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X294 @
% 0.57/1.03 X288 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ~(
% 0.57/1.03 in @
% 0.57/1.03 X294 @
% 0.57/1.03 (
% 0.57/1.03 binunion
% 0.57/1.03 @
% 0.57/1.03 X290 @
% 0.57/1.03 X292 ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ~(
% 0.57/1.03 in @
% 0.57/1.03 X294 @
% 0.57/1.03 X290 ) ) ) ) ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X296:$i,
% 0.57/1.03 X298:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X298 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X296 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X300:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X300 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X296 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X302:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X302 @
% 0.57/1.03 X296 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ~(
% 0.57/1.03 in @
% 0.57/1.03 X302 @
% 0.57/1.03 (
% 0.57/1.03 binunion
% 0.57/1.03 @
% 0.57/1.03 X298 @
% 0.57/1.03 X300 ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ~(
% 0.57/1.03 in @
% 0.57/1.03 X302 @
% 0.57/1.03 X300 ) ) ) ) ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X304:$i,
% 0.57/1.03 X306:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X306 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X304 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X308:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X308 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X304 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X310:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X310 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X304 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X312:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X312 @
% 0.57/1.03 X304 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X312 @
% 0.57/1.03 (
% 0.57/1.03 binintersect
% 0.57/1.03 @
% 0.57/1.03 X306 @
% 0.57/1.03 X308 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X312 @
% 0.57/1.03 (
% 0.57/1.03 binunion @
% 0.57/1.03 X306 @
% 0.57/1.03 X310 ) ) ) ) ) ) ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X314:$i,
% 0.57/1.03 X316:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X316 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X314 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X318:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X318 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X314 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X320:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X320 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X314 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X322:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X322 @
% 0.57/1.03 X314 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X322 @
% 0.57/1.03 (
% 0.57/1.03 binintersect
% 0.57/1.03 @
% 0.57/1.03 X316 @
% 0.57/1.03 X318 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X322 @
% 0.57/1.03 (
% 0.57/1.03 binunion @
% 0.57/1.03 X318 @
% 0.57/1.03 X320 ) ) ) ) ) ) ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X324:$i,
% 0.57/1.03 X326:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X326 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X324 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X328:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X328 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X324 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X330:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X330 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X324 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X332:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X332 @
% 0.57/1.03 X324 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X332 @
% 0.57/1.03 (
% 0.57/1.03 binintersect
% 0.57/1.03 @
% 0.57/1.03 X326 @
% 0.57/1.03 X328 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X332 @
% 0.57/1.03 (
% 0.57/1.03 binintersect
% 0.57/1.03 @
% 0.57/1.03 (
% 0.57/1.03 binunion @
% 0.57/1.03 X326 @
% 0.57/1.03 X330 ) @
% 0.57/1.03 (
% 0.57/1.03 binunion @
% 0.57/1.03 X328 @
% 0.57/1.03 X330 ) ) ) ) ) ) ) ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X334:$i,
% 0.57/1.03 X336:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X336 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X334 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X338:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X338 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X334 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X340:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X340 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X334 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 (
% 0.57/1.03 binintersect
% 0.57/1.03 @
% 0.57/1.03 X336 @
% 0.57/1.03 X338 ) @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 (
% 0.57/1.03 binintersect
% 0.57/1.03 @
% 0.57/1.03 (
% 0.57/1.03 binunion @
% 0.57/1.03 X336 @
% 0.57/1.03 X340 ) @
% 0.57/1.03 (
% 0.57/1.03 binunion @
% 0.57/1.03 X338 @
% 0.57/1.03 X340 ) ) ) ) ) ) ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X342:$i,
% 0.57/1.03 X344:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X344 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X342 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X346:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X346 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X342 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X348:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X348 @
% 0.57/1.03 X342 ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X348 @
% 0.57/1.03 (
% 0.57/1.03 setminus @
% 0.57/1.03 X342 @
% 0.57/1.03 (
% 0.57/1.03 binunion @
% 0.57/1.03 X344 @
% 0.57/1.03 X346 ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 ~(
% 0.57/1.03 in @
% 0.57/1.03 X348 @
% 0.57/1.03 X344 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.57/1.03 thf(zf_stmt_1, type, zip_tseitin_0 : $i > $i > $i > $o).
% 0.57/1.03 thf(zf_stmt_2, axiom,
% 0.57/1.03 (![X8:$i,X6:$i,X4:$i]:
% 0.57/1.03 ( ( zip_tseitin_0 @ X8 @ X6 @ X4 ) <=>
% 0.57/1.03 ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ))).
% 0.57/1.03 thf(zf_stmt_3, conjecture,
% 0.57/1.03 (( setextAx ) =>
% 0.57/1.03 ( ( emptysetAx ) =>
% 0.57/1.03 ( ( setadjoinAx ) =>
% 0.57/1.03 ( ( ![X4:$i,X6:$i]:
% 0.57/1.03 ( ( in @ X6 @ ( powerset @ X4 ) ) <=>
% 0.57/1.03 ( ![X8:$i]: ( zip_tseitin_0 @ X8 @ X6 @ X4 ) ) ) ) =>
% 0.57/1.03 ( ( setunionAx ) =>
% 0.57/1.03 ( ( omega0Ax ) =>
% 0.57/1.03 ( ( omegaSAx ) =>
% 0.57/1.03 ( ( omegaIndAx ) =>
% 0.57/1.03 ( ( replAx ) =>
% 0.57/1.03 ( ( foundationAx ) =>
% 0.57/1.03 ( ( wellorderingAx ) =>
% 0.57/1.03 ( ( descrp ) =>
% 0.57/1.03 ( ( dsetconstrI ) =>
% 0.57/1.03 ( ( dsetconstrEL ) =>
% 0.57/1.03 ( ( dsetconstrER ) =>
% 0.57/1.03 ( ( exuE1 ) =>
% 0.57/1.03 ( ( prop2setE ) =>
% 0.57/1.03 ( ( emptysetE ) =>
% 0.57/1.03 ( ( emptysetimpfalse ) =>
% 0.57/1.03 ( ( notinemptyset ) =>
% 0.57/1.03 ( ( exuE3e ) =>
% 0.57/1.03 ( ( setext ) =>
% 0.57/1.03 ( ( emptyI ) =>
% 0.57/1.03 ( ( noeltsimpempty ) =>
% 0.57/1.03 ( ( setbeta ) =>
% 0.57/1.03 ( ( nonemptyE1 ) =>
% 0.57/1.03 ( ( nonemptyI ) =>
% 0.57/1.03 ( ( nonemptyI1 ) =>
% 0.57/1.03 ( ( setadjoinIL ) =>
% 0.57/1.03 ( ( emptyinunitempty ) =>
% 0.57/1.03 ( ( setadjoinIR ) =>
% 0.57/1.03 ( ( setadjoinE ) =>
% 0.57/1.03 ( (
% 0.57/1.03 setadjoinOr ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setoftrueEq ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X10:$i,
% 0.57/1.03 X12:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X14:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X14 @ X12 ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X14 @ X10 ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X12 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X10 ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X16:$i]:
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 emptyset @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X16 ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X18:$i]:
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 emptyset @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X18 ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 ![
% 0.57/1.03 X20:$i,
% 0.57/1.03 X22:$i,
% 0.57/1.03 X24:$i]:
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X22 @
% 0.57/1.03 (
% 0.57/1.03 powerset @
% 0.57/1.03 X20 ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X24 @ X22 ) =>
% 0.57/1.03 (
% 0.57/1.03 in @
% 0.57/1.03 X24 @ X20 ) ) ) ) =>
% 0.57/1.03 (
% 0.57/1.03 (
% 0.57/1.03 setunionI ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setunionE ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 subPowSU ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 exuE2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 nonemptyImpWitness ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 uniqinunit ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 notinsingleton ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 eqinunit ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 singletonsswitch ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 upairsetE ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 upairsetIL ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 upairsetIR ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 emptyE1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 vacuousDall ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 quantDeMorgan1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 quantDeMorgan2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 quantDeMorgan3 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 quantDeMorgan4 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 prop2setI ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 prop2set2propI ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 notdexE ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 notdallE ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 exuI1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 exuI3 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 exuI2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 inCongP ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in__Cong ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 exuE3u ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 exu__Cong ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 emptyset__Cong ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setadjoin__Cong ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X26:$i,
% 0.57/1.04 X28:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 X26 ) =
% 0.57/1.04 (
% 0.57/1.04 X28 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X26 ) =
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X28 ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setunion__Cong ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 omega__Cong ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 exuEu ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 descr__Cong ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 dsetconstr__Cong ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 subsetI1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 eqimpsubset2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 eqimpsubset1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 subsetI2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 emptysetsubset ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 subsetE ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 subsetE2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 notsubsetI ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 notequalI1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 notequalI2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 subsetRefl ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 subsetTrans ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setadjoinSub ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setadjoinSub2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 subset2powerset ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setextsub ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 subsetemptysetimpeq ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 powersetI1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 powersetE1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X30:$i]:
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X30 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X30 ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 powersetsubset ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 sepInPowerset ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 sepSubset ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X32:$i,
% 0.57/1.04 X34:$i,
% 0.57/1.04 X36:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X36 @ X32 ) =>
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X36 @
% 0.57/1.04 (
% 0.57/1.04 binunion @
% 0.57/1.04 X32 @ X34 ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 upairset2IR ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X38:$i,
% 0.57/1.04 X40:$i,
% 0.57/1.04 X42:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X42 @ X40 ) =>
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X42 @
% 0.57/1.04 (
% 0.57/1.04 binunion @
% 0.57/1.04 X38 @ X40 ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X44:$i,
% 0.57/1.04 X46:$i,
% 0.57/1.04 X48:$i,
% 0.57/1.04 X50:$o]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X48 @
% 0.57/1.04 (
% 0.57/1.04 binunion @
% 0.57/1.04 X44 @ X46 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X48 @ X44 ) =>
% 0.57/1.04 (
% 0.57/1.04 X50 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X48 @ X46 ) =>
% 0.57/1.04 (
% 0.57/1.04 X50 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 X50 ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X52:$i,
% 0.57/1.04 X54:$i,
% 0.57/1.04 X56:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X56 @
% 0.57/1.04 (
% 0.57/1.04 binunion @
% 0.57/1.04 X52 @ X54 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X56 @ X52 ) |
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X56 @ X54 ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X58:$i,
% 0.57/1.04 X60:$i]:
% 0.57/1.04 (
% 0.57/1.04 subset @
% 0.57/1.04 X58 @
% 0.57/1.04 (
% 0.57/1.04 binunion @
% 0.57/1.04 X58 @ X60 ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X62:$i,
% 0.57/1.04 X64:$i]:
% 0.57/1.04 (
% 0.57/1.04 subset @
% 0.57/1.04 X64 @
% 0.57/1.04 (
% 0.57/1.04 binunion @
% 0.57/1.04 X62 @ X64 ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 binintersectI ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 binintersectSubset5 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 binintersectEL ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 binintersectLsub ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 binintersectSubset2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 binintersectSubset3 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 binintersectER ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 disjointsetsI1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 binintersectRsub ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 binintersectSubset4 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 binintersectSubset1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X66:$i,
% 0.57/1.04 X68:$i,
% 0.57/1.04 X70:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 binintersect
% 0.57/1.04 @
% 0.57/1.04 X66 @
% 0.57/1.04 (
% 0.57/1.04 binunion @
% 0.57/1.04 X68 @ X70 ) ) =
% 0.57/1.04 (
% 0.57/1.04 binunion @
% 0.57/1.04 (
% 0.57/1.04 binintersect
% 0.57/1.04 @
% 0.57/1.04 X66 @ X68 ) @
% 0.57/1.04 (
% 0.57/1.04 binintersect
% 0.57/1.04 @
% 0.57/1.04 X66 @ X70 ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X72:$i,
% 0.57/1.04 X74:$i,
% 0.57/1.04 X76:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X76 @ X72 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ~(
% 0.57/1.04 in @
% 0.57/1.04 X76 @ X74 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X76 @
% 0.57/1.04 (
% 0.57/1.04 setminus @
% 0.57/1.04 X72 @ X74 ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X78:$i,
% 0.57/1.04 X80:$i,
% 0.57/1.04 X82:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X82 @
% 0.57/1.04 (
% 0.57/1.04 setminus @
% 0.57/1.04 X78 @ X80 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X82 @ X78 ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X84:$i,
% 0.57/1.04 X86:$i,
% 0.57/1.04 X88:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X88 @
% 0.57/1.04 (
% 0.57/1.04 setminus @
% 0.57/1.04 X84 @ X86 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ~(
% 0.57/1.04 in @
% 0.57/1.04 X88 @ X86 ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X90:$i,
% 0.57/1.04 X92:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 subset @
% 0.57/1.04 X90 @ X92 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setminus @
% 0.57/1.04 X90 @ X92 ) =
% 0.57/1.04 (
% 0.57/1.04 emptyset ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X94:$i,
% 0.57/1.04 X96:$i,
% 0.57/1.04 X98:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ~(
% 0.57/1.04 in @
% 0.57/1.04 X98 @
% 0.57/1.04 (
% 0.57/1.04 setminus
% 0.57/1.04 @
% 0.57/1.04 X94 @ X96 ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X98 @ X94 ) =>
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X98 @ X96 ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X100:$i,
% 0.57/1.04 X102:$i,
% 0.57/1.04 X104:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ~(
% 0.57/1.04 in @
% 0.57/1.04 X104 @
% 0.57/1.04 (
% 0.57/1.04 setminus
% 0.57/1.04 @
% 0.57/1.04 X100 @
% 0.57/1.04 X102 ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ~(
% 0.57/1.04 in @
% 0.57/1.04 X104 @
% 0.57/1.04 X102 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ~(
% 0.57/1.04 in @
% 0.57/1.04 X104 @
% 0.57/1.04 X100 ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X106:$i,
% 0.57/1.04 X108:$i,
% 0.57/1.04 X110:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ~(
% 0.57/1.04 in @
% 0.57/1.04 X110 @
% 0.57/1.04 X106 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ~(
% 0.57/1.04 in @
% 0.57/1.04 X110 @
% 0.57/1.04 (
% 0.57/1.04 setminus
% 0.57/1.04 @
% 0.57/1.04 X106 @
% 0.57/1.04 X108 ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X112:$i,
% 0.57/1.04 X114:$i,
% 0.57/1.04 X116:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X116 @
% 0.57/1.04 X114 ) =>
% 0.57/1.04 (
% 0.57/1.04 ~(
% 0.57/1.04 in @
% 0.57/1.04 X116 @
% 0.57/1.04 (
% 0.57/1.04 setminus
% 0.57/1.04 @
% 0.57/1.04 X112 @
% 0.57/1.04 X114 ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X118:$i,
% 0.57/1.04 X120:$i]:
% 0.57/1.04 (
% 0.57/1.04 subset @
% 0.57/1.04 (
% 0.57/1.04 setminus @
% 0.57/1.04 X118 @
% 0.57/1.04 X120 ) @
% 0.57/1.04 X118 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X122:$i,
% 0.57/1.04 X124:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setminus @
% 0.57/1.04 X122 @
% 0.57/1.04 X124 ) =
% 0.57/1.04 (
% 0.57/1.04 emptyset ) ) =>
% 0.57/1.04 (
% 0.57/1.04 subset @
% 0.57/1.04 X122 @
% 0.57/1.04 X124 ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 symdiffE ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 symdiffI1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 symdiffI2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 symdiffIneg1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 symdiffIneg2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 secondinupair ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setukpairIL ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setukpairIR ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 kpairiskpair ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 kpairp ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 singletonsubset ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 singletoninpowerset ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X126:$i,
% 0.57/1.04 X128:$i,
% 0.57/1.04 X130:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X130 @
% 0.57/1.04 X126 ) =>
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 (
% 0.57/1.04 setadjoin
% 0.57/1.04 @
% 0.57/1.04 X130 @
% 0.57/1.04 emptyset ) @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 (
% 0.57/1.04 binunion @
% 0.57/1.04 X126 @
% 0.57/1.04 X128 ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 upairset2E ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X132:$i,
% 0.57/1.04 X134:$i,
% 0.57/1.04 X136:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X136 @
% 0.57/1.04 X132 ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X138:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X138 @
% 0.57/1.04 X134 ) =>
% 0.57/1.04 (
% 0.57/1.04 subset @
% 0.57/1.04 (
% 0.57/1.04 setadjoin
% 0.57/1.04 @
% 0.57/1.04 X136 @
% 0.57/1.04 (
% 0.57/1.04 setadjoin
% 0.57/1.04 @
% 0.57/1.04 X138 @
% 0.57/1.04 emptyset ) ) @
% 0.57/1.04 (
% 0.57/1.04 binunion @
% 0.57/1.04 X132 @
% 0.57/1.04 X134 ) ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X140:$i,
% 0.57/1.04 X142:$i,
% 0.57/1.04 X144:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X144 @
% 0.57/1.04 X140 ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X146:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X146 @
% 0.57/1.04 X142 ) =>
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 (
% 0.57/1.04 setadjoin
% 0.57/1.04 @
% 0.57/1.04 X144 @
% 0.57/1.04 (
% 0.57/1.04 setadjoin
% 0.57/1.04 @
% 0.57/1.04 X146 @
% 0.57/1.04 emptyset ) ) @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 (
% 0.57/1.04 binunion @
% 0.57/1.04 X140 @
% 0.57/1.04 X142 ) ) ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X148:$i,
% 0.57/1.04 X150:$i,
% 0.57/1.04 X152:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X152 @
% 0.57/1.04 X148 ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X154:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X154 @
% 0.57/1.04 X150 ) =>
% 0.57/1.04 (
% 0.57/1.04 subset @
% 0.57/1.04 (
% 0.57/1.04 setadjoin
% 0.57/1.04 @
% 0.57/1.04 (
% 0.57/1.04 setadjoin
% 0.57/1.04 @
% 0.57/1.04 X152 @
% 0.57/1.04 emptyset ) @
% 0.57/1.04 (
% 0.57/1.04 setadjoin
% 0.57/1.04 @
% 0.57/1.04 (
% 0.57/1.04 setadjoin
% 0.57/1.04 @
% 0.57/1.04 X152 @
% 0.57/1.04 (
% 0.57/1.04 setadjoin
% 0.57/1.04 @
% 0.57/1.04 X154 @
% 0.57/1.04 emptyset ) ) @
% 0.57/1.04 emptyset ) ) @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 (
% 0.57/1.04 binunion @
% 0.57/1.04 X148 @
% 0.57/1.04 X150 ) ) ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X156:$i,
% 0.57/1.04 X158:$i,
% 0.57/1.04 X160:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X160 @
% 0.57/1.04 X156 ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X162:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X162 @
% 0.57/1.04 X158 ) =>
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 (
% 0.57/1.04 setadjoin
% 0.57/1.04 @
% 0.57/1.04 (
% 0.57/1.04 setadjoin
% 0.57/1.04 @
% 0.57/1.04 X160 @
% 0.57/1.04 emptyset ) @
% 0.57/1.04 (
% 0.57/1.04 setadjoin
% 0.57/1.04 @
% 0.57/1.04 (
% 0.57/1.04 setadjoin
% 0.57/1.04 @
% 0.57/1.04 X160 @
% 0.57/1.04 (
% 0.57/1.04 setadjoin
% 0.57/1.04 @
% 0.57/1.04 X162 @
% 0.57/1.04 emptyset ) ) @
% 0.57/1.04 emptyset ) ) @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 (
% 0.57/1.04 binunion @
% 0.57/1.04 X156 @
% 0.57/1.04 X158 ) ) ) ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X164:$i,
% 0.57/1.04 X166:$i,
% 0.57/1.04 X168:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X168 @
% 0.57/1.04 X164 ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X170:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X170 @
% 0.57/1.04 X166 ) =>
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 (
% 0.57/1.04 kpair @
% 0.57/1.04 X168 @
% 0.57/1.04 X170 ) @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 (
% 0.57/1.04 binunion @
% 0.57/1.04 X164 @
% 0.57/1.04 X166 ) ) ) ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 cartprodpairin ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 cartprodmempair1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 cartprodmempair ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setunionE2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setunionsingleton1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setunionsingleton2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setunionsingleton ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 singletonprop ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ex1E1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ex1I ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ex1I2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 singletonsuniq ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setukpairinjL1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 kfstsingleton ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 theprop ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 kfstpairEq ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 cartprodfstin ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setukpairinjL2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setukpairinjL ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setukpairinjR11 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setukpairinjR12 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setukpairinjR1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 upairequniteq ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setukpairinjR2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setukpairinjR ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ksndsingleton ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ksndpairEq ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 kpairsurjEq ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 cartprodsndin ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 cartprodpairmemEL ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 cartprodpairmemER ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 cartprodmempaircEq ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 cartprodfstpairEq ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 cartprodsndpairEq ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 cartprodpairsurjEq ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 dpsetconstrI ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 dpsetconstrSub ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setOfPairsIsBReln ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 dpsetconstrERa ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 dpsetconstrEL1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 dpsetconstrEL2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 dpsetconstrER ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 funcImageSingleton ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 apProp ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 app ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 infuncsetfunc ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ap2p ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 funcinfuncset ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 lamProp ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 lamp ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 lam2p ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 brelnall1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 brelnall2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ex1E2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 funcGraphProp1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 funcGraphProp3 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 funcGraphProp2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 funcextLem ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 funcGraphProp4 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 subbreln ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 eqbreln ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 funcext ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 funcext2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ap2apEq1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ap2apEq2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 beta1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 eta1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 lam2lamEq ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 beta2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 eta2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 iffalseProp1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 iffalseProp2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 iftrueProp1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 iftrueProp2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ifSingleton ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ifp ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 theeq ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 iftrue ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 iffalse ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 iftrueorfalse ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 binintersectT_lem ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X172:$i,
% 0.57/1.04 X174:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X174 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X172 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X176:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X176 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X172 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 (
% 0.57/1.04 binunion @
% 0.57/1.04 X174 @
% 0.57/1.04 X176 ) @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X172 ) ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X178:$i,
% 0.57/1.04 X180:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X180 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X178 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X180 ) @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X178 ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X182:$i,
% 0.57/1.04 X184:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X184 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X182 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X186:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X186 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X182 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 (
% 0.57/1.04 setminus @
% 0.57/1.04 X184 @
% 0.57/1.04 X186 ) @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X182 ) ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X188:$i,
% 0.57/1.04 X190:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X190 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X188 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 (
% 0.57/1.04 setminus @
% 0.57/1.04 X188 @
% 0.57/1.04 X190 ) @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X188 ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X192:$i,
% 0.57/1.04 X194:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X194 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X192 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X196:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X196 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X192 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X198:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X198 @
% 0.57/1.04 X192 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X198 @
% 0.57/1.04 X194 ) =>
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X198 @
% 0.57/1.04 X196 ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X200:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X200 @
% 0.57/1.04 X192 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X200 @
% 0.57/1.04 X196 ) =>
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X200 @
% 0.57/1.04 X194 ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 X194 ) =
% 0.57/1.04 (
% 0.57/1.04 X196 ) ) ) ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 subsetTI ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X202:$i,
% 0.57/1.04 X204:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X204 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X202 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X206:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X206 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X202 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X208:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X208 @
% 0.57/1.04 X202 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X208 @
% 0.57/1.04 X204 ) =>
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X208 @
% 0.57/1.04 X206 ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X204 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X206 ) ) ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X210:$i,
% 0.57/1.04 X212:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X212 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X210 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X214:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X214 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X210 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X216:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X216 @
% 0.57/1.04 X210 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X212 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X214 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X216 @
% 0.57/1.04 X212 ) =>
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X216 @
% 0.57/1.04 X214 ) ) ) ) ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X218:$i,
% 0.57/1.04 X220:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X220 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X218 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X222:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X222 @
% 0.57/1.04 X218 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X222 @
% 0.57/1.04 X220 ) =>
% 0.57/1.04 (
% 0.57/1.04 ~(
% 0.57/1.04 in @
% 0.57/1.04 X222 @
% 0.57/1.04 (
% 0.57/1.04 setminus
% 0.57/1.04 @
% 0.57/1.04 X218 @
% 0.57/1.04 X220 ) ) ) ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X224:$i,
% 0.57/1.04 X226:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X226 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X224 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X228:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X228 @
% 0.57/1.04 X224 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ~(
% 0.57/1.04 in @
% 0.57/1.04 X228 @
% 0.57/1.04 (
% 0.57/1.04 setminus
% 0.57/1.04 @
% 0.57/1.04 X224 @
% 0.57/1.04 X226 ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X228 @
% 0.57/1.04 X226 ) ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 binintersectTELcontra ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 binintersectTERcontra ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X230:$i,
% 0.57/1.04 X232:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X232 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X230 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X234:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X234 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X230 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X236:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X236 @
% 0.57/1.04 X230 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 subset @
% 0.57/1.04 X232 @
% 0.57/1.04 (
% 0.57/1.04 setminus @
% 0.57/1.04 X230 @
% 0.57/1.04 X234 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X236 @
% 0.57/1.04 X234 ) =>
% 0.57/1.04 (
% 0.57/1.04 ~(
% 0.57/1.04 in @
% 0.57/1.04 X236 @
% 0.57/1.04 X232 ) ) ) ) ) ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 contrasubsetT1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X238:$i,
% 0.57/1.04 X240:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X240 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X238 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X242:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X242 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X238 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 subset @
% 0.57/1.04 X240 @
% 0.57/1.04 X242 ) =>
% 0.57/1.04 (
% 0.57/1.04 subset @
% 0.57/1.04 (
% 0.57/1.04 setminus @
% 0.57/1.04 X238 @
% 0.57/1.04 X242 ) @
% 0.57/1.04 (
% 0.57/1.04 setminus @
% 0.57/1.04 X238 @
% 0.57/1.04 X240 ) ) ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X244:$i,
% 0.57/1.04 X246:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X246 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X244 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X248:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X248 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X244 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 subset @
% 0.57/1.04 (
% 0.57/1.04 setminus @
% 0.57/1.04 X244 @
% 0.57/1.04 X248 ) @
% 0.57/1.04 (
% 0.57/1.04 setminus @
% 0.57/1.04 X244 @
% 0.57/1.04 X246 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 subset @
% 0.57/1.04 X246 @
% 0.57/1.04 X248 ) ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X250:$i,
% 0.57/1.04 X252:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X252 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X250 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X254:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X254 @
% 0.57/1.04 X250 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X254 @
% 0.57/1.04 X252 ) =>
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X254 @
% 0.57/1.04 (
% 0.57/1.04 setminus @
% 0.57/1.04 X250 @
% 0.57/1.04 (
% 0.57/1.04 setminus @
% 0.57/1.04 X250 @
% 0.57/1.04 X252 ) ) ) ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X256:$i,
% 0.57/1.04 X258:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X258 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X256 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X260:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X260 @
% 0.57/1.04 X256 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X260 @
% 0.57/1.04 (
% 0.57/1.04 setminus @
% 0.57/1.04 X256 @
% 0.57/1.04 (
% 0.57/1.04 setminus @
% 0.57/1.04 X256 @
% 0.57/1.04 X258 ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X260 @
% 0.57/1.04 X258 ) ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X262:$i,
% 0.57/1.04 X264:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X264 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X262 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 subset @
% 0.57/1.04 X264 @
% 0.57/1.04 (
% 0.57/1.04 setminus @
% 0.57/1.04 X262 @
% 0.57/1.04 (
% 0.57/1.04 setminus @
% 0.57/1.04 X262 @
% 0.57/1.04 X264 ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X266:$i,
% 0.57/1.04 X268:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X268 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X266 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 subset @
% 0.57/1.04 (
% 0.57/1.04 setminus @
% 0.57/1.04 X266 @
% 0.57/1.04 (
% 0.57/1.04 setminus @
% 0.57/1.04 X266 @
% 0.57/1.04 X268 ) ) @
% 0.57/1.04 X268 ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X270:$i,
% 0.57/1.04 X272:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X272 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X270 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 X272 ) =
% 0.57/1.04 (
% 0.57/1.04 setminus @
% 0.57/1.04 X270 @
% 0.57/1.04 (
% 0.57/1.04 setminus @
% 0.57/1.04 X270 @
% 0.57/1.04 X272 ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 complementTnotintersectT ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 complementImpComplementIntersect ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 complementSubsetComplementIntersect ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 complementInPowersetComplementIntersect ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X274:$i,
% 0.57/1.04 X276:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X276 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X274 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X278:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X278 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X274 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 subset @
% 0.57/1.04 X276 @
% 0.57/1.04 (
% 0.57/1.04 setminus @
% 0.57/1.04 X274 @
% 0.57/1.04 X278 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X280:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X280 @
% 0.57/1.04 X274 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X280 @
% 0.57/1.04 X278 ) =>
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X280 @
% 0.57/1.04 (
% 0.57/1.04 setminus @
% 0.57/1.04 X274 @
% 0.57/1.04 X276 ) ) ) ) ) ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X282:$i,
% 0.57/1.04 X284:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X284 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X282 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X286:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X286 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X282 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 subset @
% 0.57/1.04 X284 @
% 0.57/1.04 (
% 0.57/1.04 setminus @
% 0.57/1.04 X282 @
% 0.57/1.04 X286 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 subset @
% 0.57/1.04 X286 @
% 0.57/1.04 (
% 0.57/1.04 setminus @
% 0.57/1.04 X282 @
% 0.57/1.04 X284 ) ) ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X288:$i,
% 0.57/1.04 X290:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X290 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X288 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X292:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X292 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X288 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X294:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X294 @
% 0.57/1.04 X288 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ~(
% 0.57/1.04 in @
% 0.57/1.04 X294 @
% 0.57/1.04 (
% 0.57/1.04 binunion
% 0.57/1.04 @
% 0.57/1.04 X290 @
% 0.57/1.04 X292 ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ~(
% 0.57/1.04 in @
% 0.57/1.04 X294 @
% 0.57/1.04 X290 ) ) ) ) ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X296:$i,
% 0.57/1.04 X298:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X298 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X296 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X300:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X300 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X296 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X302:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X302 @
% 0.57/1.04 X296 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ~(
% 0.57/1.04 in @
% 0.57/1.04 X302 @
% 0.57/1.04 (
% 0.57/1.04 binunion
% 0.57/1.04 @
% 0.57/1.04 X298 @
% 0.57/1.04 X300 ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ~(
% 0.57/1.04 in @
% 0.57/1.04 X302 @
% 0.57/1.04 X300 ) ) ) ) ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X304:$i,
% 0.57/1.04 X306:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X306 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X304 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X308:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X308 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X304 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X310:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X310 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X304 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X312:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X312 @
% 0.57/1.04 X304 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X312 @
% 0.57/1.04 (
% 0.57/1.04 binintersect
% 0.57/1.04 @
% 0.57/1.04 X306 @
% 0.57/1.04 X308 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X312 @
% 0.57/1.04 (
% 0.57/1.04 binunion @
% 0.57/1.04 X306 @
% 0.57/1.04 X310 ) ) ) ) ) ) ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X314:$i,
% 0.57/1.04 X316:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X316 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X314 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X318:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X318 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X314 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X320:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X320 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X314 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X322:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X322 @
% 0.57/1.04 X314 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X322 @
% 0.57/1.04 (
% 0.57/1.04 binintersect
% 0.57/1.04 @
% 0.57/1.04 X316 @
% 0.57/1.04 X318 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X322 @
% 0.57/1.04 (
% 0.57/1.04 binunion @
% 0.57/1.04 X318 @
% 0.57/1.04 X320 ) ) ) ) ) ) ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X324:$i,
% 0.57/1.04 X326:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X326 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X324 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X328:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X328 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X324 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X330:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X330 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X324 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X332:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X332 @
% 0.57/1.04 X324 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X332 @
% 0.57/1.04 (
% 0.57/1.04 binintersect
% 0.57/1.04 @
% 0.57/1.04 X326 @
% 0.57/1.04 X328 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X332 @
% 0.57/1.04 (
% 0.57/1.04 binintersect
% 0.57/1.04 @
% 0.57/1.04 (
% 0.57/1.04 binunion @
% 0.57/1.04 X326 @
% 0.57/1.04 X330 ) @
% 0.57/1.04 (
% 0.57/1.04 binunion @
% 0.57/1.04 X328 @
% 0.57/1.04 X330 ) ) ) ) ) ) ) ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X334:$i,
% 0.57/1.04 X336:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X336 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X334 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X338:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X338 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X334 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X340:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X340 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X334 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 (
% 0.57/1.04 binintersect
% 0.57/1.04 @
% 0.57/1.04 X336 @
% 0.57/1.04 X338 ) @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 (
% 0.57/1.04 binintersect
% 0.57/1.04 @
% 0.57/1.04 (
% 0.57/1.04 binunion @
% 0.57/1.04 X336 @
% 0.57/1.04 X340 ) @
% 0.57/1.04 (
% 0.57/1.04 binunion @
% 0.57/1.04 X338 @
% 0.57/1.04 X340 ) ) ) ) ) ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X342:$i,
% 0.57/1.04 X344:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X344 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X342 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X346:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X346 @
% 0.57/1.04 (
% 0.57/1.04 powerset @
% 0.57/1.04 X342 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X348:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X348 @
% 0.57/1.04 X342 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X348 @
% 0.57/1.04 (
% 0.57/1.04 setminus @
% 0.57/1.04 X342 @
% 0.57/1.04 (
% 0.57/1.04 binunion @
% 0.57/1.04 X344 @
% 0.57/1.04 X346 ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 ~(
% 0.57/1.04 in @
% 0.57/1.04 X348 @
% 0.57/1.04 X344 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.57/1.04 thf(zf_stmt_4, negated_conjecture,
% 0.57/1.04 (~( ( setextAx ) =>
% 0.57/1.04 ( ( emptysetAx ) =>
% 0.57/1.04 ( ( setadjoinAx ) =>
% 0.57/1.04 ( ( ![X4:$i,X6:$i]:
% 0.57/1.04 ( ( in @ X6 @ ( powerset @ X4 ) ) <=>
% 0.57/1.04 ( ![X8:$i]: ( zip_tseitin_0 @ X8 @ X6 @ X4 ) ) ) ) =>
% 0.57/1.04 ( ( setunionAx ) =>
% 0.57/1.04 ( ( omega0Ax ) =>
% 0.57/1.04 ( ( omegaSAx ) =>
% 0.57/1.04 ( ( omegaIndAx ) =>
% 0.57/1.04 ( ( replAx ) =>
% 0.57/1.04 ( ( foundationAx ) =>
% 0.57/1.04 ( ( wellorderingAx ) =>
% 0.57/1.04 ( ( descrp ) =>
% 0.57/1.04 ( ( dsetconstrI ) =>
% 0.57/1.04 ( ( dsetconstrEL ) =>
% 0.57/1.04 ( ( dsetconstrER ) =>
% 0.57/1.04 ( ( exuE1 ) =>
% 0.57/1.04 ( ( prop2setE ) =>
% 0.57/1.04 ( ( emptysetE ) =>
% 0.57/1.04 ( ( emptysetimpfalse ) =>
% 0.57/1.04 ( ( notinemptyset ) =>
% 0.57/1.04 ( ( exuE3e ) =>
% 0.57/1.04 ( ( setext ) =>
% 0.57/1.04 ( ( emptyI ) =>
% 0.57/1.04 ( ( noeltsimpempty ) =>
% 0.57/1.04 ( ( setbeta ) =>
% 0.57/1.04 ( ( nonemptyE1 ) =>
% 0.57/1.04 ( ( nonemptyI ) =>
% 0.57/1.04 ( ( nonemptyI1 ) =>
% 0.57/1.04 ( ( setadjoinIL ) =>
% 0.57/1.04 ( ( emptyinunitempty ) =>
% 0.57/1.04 ( ( setadjoinIR ) =>
% 0.57/1.04 ( (
% 0.57/1.04 setadjoinE ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setadjoinOr ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setoftrueEq ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X10:$i,
% 0.57/1.04 X12:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X14:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X14 @ X12 ) =>
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X14 @ X10 ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X12 @
% 0.57/1.04 (
% 0.57/1.04 powerset
% 0.57/1.04 @
% 0.57/1.04 X10 ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X16:$i]:
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 emptyset @
% 0.57/1.04 (
% 0.57/1.04 powerset
% 0.57/1.04 @
% 0.57/1.04 X16 ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X18:$i]:
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 emptyset @
% 0.57/1.04 (
% 0.57/1.04 powerset
% 0.57/1.04 @
% 0.57/1.04 X18 ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X20:$i,
% 0.57/1.04 X22:$i,
% 0.57/1.04 X24:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X22 @
% 0.57/1.04 (
% 0.57/1.04 powerset
% 0.57/1.04 @
% 0.57/1.04 X20 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X24 @ X22 ) =>
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X24 @ X20 ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setunionI ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setunionE ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 subPowSU ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 exuE2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 nonemptyImpWitness ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 uniqinunit ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 notinsingleton ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 eqinunit ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 singletonsswitch ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 upairsetE ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 upairsetIL ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 upairsetIR ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 emptyE1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 vacuousDall ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 quantDeMorgan1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 quantDeMorgan2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 quantDeMorgan3 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 quantDeMorgan4 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 prop2setI ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 prop2set2propI ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 notdexE ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 notdallE ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 exuI1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 exuI3 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 exuI2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 inCongP ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in__Cong ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 exuE3u ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 exu__Cong ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 emptyset__Cong ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setadjoin__Cong ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X26:$i,
% 0.57/1.04 X28:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 X26 ) =
% 0.57/1.04 (
% 0.57/1.04 X28 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 powerset
% 0.57/1.04 @
% 0.57/1.04 X26 ) =
% 0.57/1.04 (
% 0.57/1.04 powerset
% 0.57/1.04 @
% 0.57/1.04 X28 ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setunion__Cong ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 omega__Cong ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 exuEu ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 descr__Cong ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 dsetconstr__Cong ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 subsetI1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 eqimpsubset2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 eqimpsubset1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 subsetI2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 emptysetsubset ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 subsetE ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 subsetE2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 notsubsetI ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 notequalI1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 notequalI2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 subsetRefl ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 subsetTrans ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setadjoinSub ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setadjoinSub2 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 subset2powerset ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 setextsub ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 subsetemptysetimpeq ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 powersetI1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 powersetE1 ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X30:$i]:
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X30 @
% 0.57/1.04 (
% 0.57/1.04 powerset
% 0.57/1.04 @
% 0.57/1.04 X30 ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 powersetsubset ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 sepInPowerset ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 sepSubset ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X32:$i,
% 0.57/1.04 X34:$i,
% 0.57/1.04 X36:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X36 @ X32 ) =>
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X36 @
% 0.57/1.04 (
% 0.57/1.04 binunion
% 0.57/1.04 @
% 0.57/1.04 X32 @ X34 ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 upairset2IR ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X38:$i,
% 0.57/1.04 X40:$i,
% 0.57/1.04 X42:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X42 @ X40 ) =>
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X42 @
% 0.57/1.04 (
% 0.57/1.04 binunion
% 0.57/1.04 @
% 0.57/1.04 X38 @ X40 ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X44:$i,
% 0.57/1.04 X46:$i,
% 0.57/1.04 X48:$i,
% 0.57/1.04 X50:$o]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X48 @
% 0.57/1.04 (
% 0.57/1.04 binunion
% 0.57/1.04 @
% 0.57/1.04 X44 @ X46 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X48 @ X44 ) =>
% 0.57/1.04 (
% 0.57/1.04 X50 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X48 @ X46 ) =>
% 0.57/1.04 (
% 0.57/1.04 X50 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 X50 ) ) ) ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 ![
% 0.57/1.04 X52:$i,
% 0.57/1.04 X54:$i,
% 0.57/1.04 X56:$i]:
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X56 @
% 0.57/1.04 (
% 0.57/1.04 binunion
% 0.57/1.04 @
% 0.57/1.04 X52 @ X54 ) ) =>
% 0.57/1.04 (
% 0.57/1.04 (
% 0.57/1.04 in @
% 0.57/1.04 X56 @ X52 ) |
% 0.57/1.04 (
% 0.57/1.05 in @
% 0.57/1.05 X56 @ X54 ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X58:$i,
% 0.57/1.05 X60:$i]:
% 0.57/1.05 (
% 0.57/1.05 subset @
% 0.57/1.05 X58 @
% 0.57/1.05 (
% 0.57/1.05 binunion
% 0.57/1.05 @
% 0.57/1.05 X58 @ X60 ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X62:$i,
% 0.57/1.05 X64:$i]:
% 0.57/1.05 (
% 0.57/1.05 subset @
% 0.57/1.05 X64 @
% 0.57/1.05 (
% 0.57/1.05 binunion
% 0.57/1.05 @
% 0.57/1.05 X62 @ X64 ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 binintersectI ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 binintersectSubset5 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 binintersectEL ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 binintersectLsub ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 binintersectSubset2 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 binintersectSubset3 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 binintersectER ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 disjointsetsI1 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 binintersectRsub ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 binintersectSubset4 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 binintersectSubset1 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X66:$i,
% 0.57/1.05 X68:$i,
% 0.57/1.05 X70:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 binintersect
% 0.57/1.05 @
% 0.57/1.05 X66 @
% 0.57/1.05 (
% 0.57/1.05 binunion
% 0.57/1.05 @
% 0.57/1.05 X68 @ X70 ) ) =
% 0.57/1.05 (
% 0.57/1.05 binunion
% 0.57/1.05 @
% 0.57/1.05 (
% 0.57/1.05 binintersect
% 0.57/1.05 @
% 0.57/1.05 X66 @ X68 ) @
% 0.57/1.05 (
% 0.57/1.05 binintersect
% 0.57/1.05 @
% 0.57/1.05 X66 @ X70 ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X72:$i,
% 0.57/1.05 X74:$i,
% 0.57/1.05 X76:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X76 @ X72 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ~
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X76 @ X74 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X76 @
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X72 @ X74 ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X78:$i,
% 0.57/1.05 X80:$i,
% 0.57/1.05 X82:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X82 @
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X78 @ X80 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X82 @ X78 ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X84:$i,
% 0.57/1.05 X86:$i,
% 0.57/1.05 X88:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X88 @
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X84 @ X86 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ~
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X88 @ X86 ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X90:$i,
% 0.57/1.05 X92:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 subset @
% 0.57/1.05 X90 @ X92 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X90 @ X92 ) =
% 0.57/1.05 (
% 0.57/1.05 emptyset ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X94:$i,
% 0.57/1.05 X96:$i,
% 0.57/1.05 X98:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ~
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X98 @
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X94 @ X96 ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X98 @ X94 ) =>
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X98 @ X96 ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X100:$i,
% 0.57/1.05 X102:$i,
% 0.57/1.05 X104:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ~
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X104 @
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X100 @
% 0.57/1.05 X102 ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ~
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X104 @
% 0.57/1.05 X102 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ~
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X104 @
% 0.57/1.05 X100 ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X106:$i,
% 0.57/1.05 X108:$i,
% 0.57/1.05 X110:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ~
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X110 @
% 0.57/1.05 X106 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ~
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X110 @
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X106 @
% 0.57/1.05 X108 ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X112:$i,
% 0.57/1.05 X114:$i,
% 0.57/1.05 X116:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X116 @
% 0.57/1.05 X114 ) =>
% 0.57/1.05 (
% 0.57/1.05 ~
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X116 @
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X112 @
% 0.57/1.05 X114 ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X118:$i,
% 0.57/1.05 X120:$i]:
% 0.57/1.05 (
% 0.57/1.05 subset @
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X118 @
% 0.57/1.05 X120 ) @
% 0.57/1.05 X118 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X122:$i,
% 0.57/1.05 X124:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X122 @
% 0.57/1.05 X124 ) =
% 0.57/1.05 (
% 0.57/1.05 emptyset ) ) =>
% 0.57/1.05 (
% 0.57/1.05 subset @
% 0.57/1.05 X122 @
% 0.57/1.05 X124 ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 symdiffE ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 symdiffI1 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 symdiffI2 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 symdiffIneg1 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 symdiffIneg2 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 secondinupair ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 setukpairIL ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 setukpairIR ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 kpairiskpair ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 kpairp ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 singletonsubset ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 singletoninpowerset ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X126:$i,
% 0.57/1.05 X128:$i,
% 0.57/1.05 X130:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X130 @
% 0.57/1.05 X126 ) =>
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 (
% 0.57/1.05 setadjoin
% 0.57/1.05 @
% 0.57/1.05 X130 @
% 0.57/1.05 emptyset ) @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 (
% 0.57/1.05 binunion
% 0.57/1.05 @
% 0.57/1.05 X126 @
% 0.57/1.05 X128 ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 upairset2E ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X132:$i,
% 0.57/1.05 X134:$i,
% 0.57/1.05 X136:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X136 @
% 0.57/1.05 X132 ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X138:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X138 @
% 0.57/1.05 X134 ) =>
% 0.57/1.05 (
% 0.57/1.05 subset @
% 0.57/1.05 (
% 0.57/1.05 setadjoin
% 0.57/1.05 @
% 0.57/1.05 X136 @
% 0.57/1.05 (
% 0.57/1.05 setadjoin
% 0.57/1.05 @
% 0.57/1.05 X138 @
% 0.57/1.05 emptyset ) ) @
% 0.57/1.05 (
% 0.57/1.05 binunion
% 0.57/1.05 @
% 0.57/1.05 X132 @
% 0.57/1.05 X134 ) ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X140:$i,
% 0.57/1.05 X142:$i,
% 0.57/1.05 X144:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X144 @
% 0.57/1.05 X140 ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X146:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X146 @
% 0.57/1.05 X142 ) =>
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 (
% 0.57/1.05 setadjoin
% 0.57/1.05 @
% 0.57/1.05 X144 @
% 0.57/1.05 (
% 0.57/1.05 setadjoin
% 0.57/1.05 @
% 0.57/1.05 X146 @
% 0.57/1.05 emptyset ) ) @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 (
% 0.57/1.05 binunion
% 0.57/1.05 @
% 0.57/1.05 X140 @
% 0.57/1.05 X142 ) ) ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X148:$i,
% 0.57/1.05 X150:$i,
% 0.57/1.05 X152:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X152 @
% 0.57/1.05 X148 ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X154:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X154 @
% 0.57/1.05 X150 ) =>
% 0.57/1.05 (
% 0.57/1.05 subset @
% 0.57/1.05 (
% 0.57/1.05 setadjoin
% 0.57/1.05 @
% 0.57/1.05 (
% 0.57/1.05 setadjoin
% 0.57/1.05 @
% 0.57/1.05 X152 @
% 0.57/1.05 emptyset ) @
% 0.57/1.05 (
% 0.57/1.05 setadjoin
% 0.57/1.05 @
% 0.57/1.05 (
% 0.57/1.05 setadjoin
% 0.57/1.05 @
% 0.57/1.05 X152 @
% 0.57/1.05 (
% 0.57/1.05 setadjoin
% 0.57/1.05 @
% 0.57/1.05 X154 @
% 0.57/1.05 emptyset ) ) @
% 0.57/1.05 emptyset ) ) @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 (
% 0.57/1.05 binunion
% 0.57/1.05 @
% 0.57/1.05 X148 @
% 0.57/1.05 X150 ) ) ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X156:$i,
% 0.57/1.05 X158:$i,
% 0.57/1.05 X160:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X160 @
% 0.57/1.05 X156 ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X162:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X162 @
% 0.57/1.05 X158 ) =>
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 (
% 0.57/1.05 setadjoin
% 0.57/1.05 @
% 0.57/1.05 (
% 0.57/1.05 setadjoin
% 0.57/1.05 @
% 0.57/1.05 X160 @
% 0.57/1.05 emptyset ) @
% 0.57/1.05 (
% 0.57/1.05 setadjoin
% 0.57/1.05 @
% 0.57/1.05 (
% 0.57/1.05 setadjoin
% 0.57/1.05 @
% 0.57/1.05 X160 @
% 0.57/1.05 (
% 0.57/1.05 setadjoin
% 0.57/1.05 @
% 0.57/1.05 X162 @
% 0.57/1.05 emptyset ) ) @
% 0.57/1.05 emptyset ) ) @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 (
% 0.57/1.05 binunion
% 0.57/1.05 @
% 0.57/1.05 X156 @
% 0.57/1.05 X158 ) ) ) ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X164:$i,
% 0.57/1.05 X166:$i,
% 0.57/1.05 X168:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X168 @
% 0.57/1.05 X164 ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X170:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X170 @
% 0.57/1.05 X166 ) =>
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 (
% 0.57/1.05 kpair @
% 0.57/1.05 X168 @
% 0.57/1.05 X170 ) @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 (
% 0.57/1.05 binunion
% 0.57/1.05 @
% 0.57/1.05 X164 @
% 0.57/1.05 X166 ) ) ) ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 cartprodpairin ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 cartprodmempair1 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 cartprodmempair ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 setunionE2 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 setunionsingleton1 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 setunionsingleton2 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 setunionsingleton ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 singletonprop ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ex1E1 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ex1I ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ex1I2 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 singletonsuniq ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 setukpairinjL1 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 kfstsingleton ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 theprop ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 kfstpairEq ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 cartprodfstin ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 setukpairinjL2 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 setukpairinjL ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 setukpairinjR11 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 setukpairinjR12 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 setukpairinjR1 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 upairequniteq ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 setukpairinjR2 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 setukpairinjR ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ksndsingleton ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ksndpairEq ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 kpairsurjEq ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 cartprodsndin ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 cartprodpairmemEL ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 cartprodpairmemER ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 cartprodmempaircEq ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 cartprodfstpairEq ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 cartprodsndpairEq ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 cartprodpairsurjEq ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 dpsetconstrI ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 dpsetconstrSub ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 setOfPairsIsBReln ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 dpsetconstrERa ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 dpsetconstrEL1 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 dpsetconstrEL2 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 dpsetconstrER ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 funcImageSingleton ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 apProp ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 app ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 infuncsetfunc ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ap2p ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 funcinfuncset ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 lamProp ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 lamp ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 lam2p ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 brelnall1 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 brelnall2 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ex1E2 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 funcGraphProp1 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 funcGraphProp3 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 funcGraphProp2 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 funcextLem ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 funcGraphProp4 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 subbreln ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 eqbreln ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 funcext ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 funcext2 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ap2apEq1 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ap2apEq2 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 beta1 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 eta1 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 lam2lamEq ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 beta2 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 eta2 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 iffalseProp1 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 iffalseProp2 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 iftrueProp1 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 iftrueProp2 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ifSingleton ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ifp ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 theeq ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 iftrue ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 iffalse ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 iftrueorfalse ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 binintersectT_lem ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X172:$i,
% 0.57/1.05 X174:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X174 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X172 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X176:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X176 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X172 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 (
% 0.57/1.05 binunion
% 0.57/1.05 @
% 0.57/1.05 X174 @
% 0.57/1.05 X176 ) @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X172 ) ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X178:$i,
% 0.57/1.05 X180:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X180 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X178 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X180 ) @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X178 ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X182:$i,
% 0.57/1.05 X184:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X184 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X182 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X186:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X186 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X182 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X184 @
% 0.57/1.05 X186 ) @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X182 ) ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X188:$i,
% 0.57/1.05 X190:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X190 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X188 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X188 @
% 0.57/1.05 X190 ) @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X188 ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X192:$i,
% 0.57/1.05 X194:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X194 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X192 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X196:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X196 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X192 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X198:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X198 @
% 0.57/1.05 X192 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X198 @
% 0.57/1.05 X194 ) =>
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X198 @
% 0.57/1.05 X196 ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X200:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X200 @
% 0.57/1.05 X192 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X200 @
% 0.57/1.05 X196 ) =>
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X200 @
% 0.57/1.05 X194 ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 X194 ) =
% 0.57/1.05 (
% 0.57/1.05 X196 ) ) ) ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 subsetTI ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X202:$i,
% 0.57/1.05 X204:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X204 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X202 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X206:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X206 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X202 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X208:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X208 @
% 0.57/1.05 X202 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X208 @
% 0.57/1.05 X204 ) =>
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X208 @
% 0.57/1.05 X206 ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X204 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X206 ) ) ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X210:$i,
% 0.57/1.05 X212:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X212 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X210 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X214:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X214 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X210 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X216:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X216 @
% 0.57/1.05 X210 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X212 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X214 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X216 @
% 0.57/1.05 X212 ) =>
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X216 @
% 0.57/1.05 X214 ) ) ) ) ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X218:$i,
% 0.57/1.05 X220:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X220 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X218 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X222:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X222 @
% 0.57/1.05 X218 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X222 @
% 0.57/1.05 X220 ) =>
% 0.57/1.05 (
% 0.57/1.05 ~
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X222 @
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X218 @
% 0.57/1.05 X220 ) ) ) ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X224:$i,
% 0.57/1.05 X226:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X226 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X224 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X228:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X228 @
% 0.57/1.05 X224 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ~
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X228 @
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X224 @
% 0.57/1.05 X226 ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X228 @
% 0.57/1.05 X226 ) ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 binintersectTELcontra ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 binintersectTERcontra ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X230:$i,
% 0.57/1.05 X232:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X232 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X230 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X234:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X234 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X230 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X236:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X236 @
% 0.57/1.05 X230 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 subset @
% 0.57/1.05 X232 @
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X230 @
% 0.57/1.05 X234 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X236 @
% 0.57/1.05 X234 ) =>
% 0.57/1.05 (
% 0.57/1.05 ~
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X236 @
% 0.57/1.05 X232 ) ) ) ) ) ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 contrasubsetT1 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X238:$i,
% 0.57/1.05 X240:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X240 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X238 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X242:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X242 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X238 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 subset @
% 0.57/1.05 X240 @
% 0.57/1.05 X242 ) =>
% 0.57/1.05 (
% 0.57/1.05 subset @
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X238 @
% 0.57/1.05 X242 ) @
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X238 @
% 0.57/1.05 X240 ) ) ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X244:$i,
% 0.57/1.05 X246:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X246 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X244 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X248:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X248 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X244 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 subset @
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X244 @
% 0.57/1.05 X248 ) @
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X244 @
% 0.57/1.05 X246 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 subset @
% 0.57/1.05 X246 @
% 0.57/1.05 X248 ) ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X250:$i,
% 0.57/1.05 X252:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X252 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X250 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X254:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X254 @
% 0.57/1.05 X250 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X254 @
% 0.57/1.05 X252 ) =>
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X254 @
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X250 @
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X250 @
% 0.57/1.05 X252 ) ) ) ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X256:$i,
% 0.57/1.05 X258:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X258 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X256 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X260:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X260 @
% 0.57/1.05 X256 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X260 @
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X256 @
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X256 @
% 0.57/1.05 X258 ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X260 @
% 0.57/1.05 X258 ) ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X262:$i,
% 0.57/1.05 X264:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X264 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X262 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 subset @
% 0.57/1.05 X264 @
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X262 @
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X262 @
% 0.57/1.05 X264 ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X266:$i,
% 0.57/1.05 X268:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X268 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X266 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 subset @
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X266 @
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X266 @
% 0.57/1.05 X268 ) ) @
% 0.57/1.05 X268 ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X270:$i,
% 0.57/1.05 X272:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X272 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X270 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 X272 ) =
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X270 @
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X270 @
% 0.57/1.05 X272 ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 complementTnotintersectT ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 complementImpComplementIntersect ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 complementSubsetComplementIntersect ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 complementInPowersetComplementIntersect ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X274:$i,
% 0.57/1.05 X276:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X276 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X274 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X278:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X278 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X274 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 subset @
% 0.57/1.05 X276 @
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X274 @
% 0.57/1.05 X278 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X280:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X280 @
% 0.57/1.05 X274 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X280 @
% 0.57/1.05 X278 ) =>
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X280 @
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X274 @
% 0.57/1.05 X276 ) ) ) ) ) ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X282:$i,
% 0.57/1.05 X284:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X284 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X282 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X286:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X286 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X282 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 subset @
% 0.57/1.05 X284 @
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X282 @
% 0.57/1.05 X286 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 subset @
% 0.57/1.05 X286 @
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X282 @
% 0.57/1.05 X284 ) ) ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X288:$i,
% 0.57/1.05 X290:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X290 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X288 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X292:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X292 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X288 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X294:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X294 @
% 0.57/1.05 X288 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ~
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X294 @
% 0.57/1.05 (
% 0.57/1.05 binunion
% 0.57/1.05 @
% 0.57/1.05 X290 @
% 0.57/1.05 X292 ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ~
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X294 @
% 0.57/1.05 X290 ) ) ) ) ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X296:$i,
% 0.57/1.05 X298:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X298 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X296 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X300:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X300 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X296 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X302:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X302 @
% 0.57/1.05 X296 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ~
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X302 @
% 0.57/1.05 (
% 0.57/1.05 binunion
% 0.57/1.05 @
% 0.57/1.05 X298 @
% 0.57/1.05 X300 ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ~
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X302 @
% 0.57/1.05 X300 ) ) ) ) ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X304:$i,
% 0.57/1.05 X306:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X306 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X304 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X308:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X308 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X304 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X310:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X310 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X304 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X312:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X312 @
% 0.57/1.05 X304 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X312 @
% 0.57/1.05 (
% 0.57/1.05 binintersect
% 0.57/1.05 @
% 0.57/1.05 X306 @
% 0.57/1.05 X308 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X312 @
% 0.57/1.05 (
% 0.57/1.05 binunion
% 0.57/1.05 @
% 0.57/1.05 X306 @
% 0.57/1.05 X310 ) ) ) ) ) ) ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X314:$i,
% 0.57/1.05 X316:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X316 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X314 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X318:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X318 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X314 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X320:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X320 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X314 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X322:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X322 @
% 0.57/1.05 X314 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X322 @
% 0.57/1.05 (
% 0.57/1.05 binintersect
% 0.57/1.05 @
% 0.57/1.05 X316 @
% 0.57/1.05 X318 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X322 @
% 0.57/1.05 (
% 0.57/1.05 binunion
% 0.57/1.05 @
% 0.57/1.05 X318 @
% 0.57/1.05 X320 ) ) ) ) ) ) ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X324:$i,
% 0.57/1.05 X326:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X326 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X324 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X328:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X328 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X324 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X330:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X330 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X324 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X332:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X332 @
% 0.57/1.05 X324 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X332 @
% 0.57/1.05 (
% 0.57/1.05 binintersect
% 0.57/1.05 @
% 0.57/1.05 X326 @
% 0.57/1.05 X328 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X332 @
% 0.57/1.05 (
% 0.57/1.05 binintersect
% 0.57/1.05 @
% 0.57/1.05 (
% 0.57/1.05 binunion
% 0.57/1.05 @
% 0.57/1.05 X326 @
% 0.57/1.05 X330 ) @
% 0.57/1.05 (
% 0.57/1.05 binunion
% 0.57/1.05 @
% 0.57/1.05 X328 @
% 0.57/1.05 X330 ) ) ) ) ) ) ) ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X334:$i,
% 0.57/1.05 X336:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X336 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X334 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X338:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X338 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X334 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X340:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X340 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X334 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 (
% 0.57/1.05 binintersect
% 0.57/1.05 @
% 0.57/1.05 X336 @
% 0.57/1.05 X338 ) @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 (
% 0.57/1.05 binintersect
% 0.57/1.05 @
% 0.57/1.05 (
% 0.57/1.05 binunion
% 0.57/1.05 @
% 0.57/1.05 X336 @
% 0.57/1.05 X340 ) @
% 0.57/1.05 (
% 0.57/1.05 binunion
% 0.57/1.05 @
% 0.57/1.05 X338 @
% 0.57/1.05 X340 ) ) ) ) ) ) ) ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X342:$i,
% 0.57/1.05 X344:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X344 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X342 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X346:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X346 @
% 0.57/1.05 (
% 0.57/1.05 powerset
% 0.57/1.05 @
% 0.57/1.05 X342 ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ![
% 0.57/1.05 X348:$i]:
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X348 @
% 0.57/1.05 X342 ) =>
% 0.57/1.05 (
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X348 @
% 0.57/1.05 (
% 0.57/1.05 setminus
% 0.57/1.05 @
% 0.57/1.05 X342 @
% 0.57/1.05 (
% 0.57/1.05 binunion
% 0.57/1.05 @
% 0.57/1.05 X344 @
% 0.57/1.05 X346 ) ) ) =>
% 0.57/1.05 (
% 0.57/1.05 ~
% 0.57/1.05 (
% 0.57/1.05 in @
% 0.57/1.05 X348 @
% 0.57/1.05 X344 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )),
% 0.57/1.05 inference('cnf.neg', [status(esa)], [zf_stmt_3])).
% 0.57/1.05 thf(zip_derived_cl53, plain,
% 0.57/1.05 (![X4 : $i, X5 : $i, X6 : $i]:
% 0.57/1.05 ( (in @ X4 @ (binunion @ X5 @ X6)) | ~ (in @ X4 @ X5))),
% 0.57/1.05 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/1.05 thf(zip_derived_cl135, plain,
% 0.57/1.05 ( (in @ sk__177 @ (setminus @ sk__174 @ (binunion @ sk__175 @ sk__176)))),
% 0.57/1.05 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/1.05 thf(zip_derived_cl66, plain,
% 0.57/1.05 (![X26 : $i, X27 : $i, X28 : $i]:
% 0.57/1.05 (~ (in @ X26 @ (setminus @ X27 @ X28)) | ~ (in @ X26 @ X28))),
% 0.57/1.05 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/1.05 thf(zip_derived_cl341, plain,
% 0.57/1.05 (~ (in @ sk__177 @ (binunion @ sk__175 @ sk__176))),
% 0.57/1.05 inference('sup-', [status(thm)], [zip_derived_cl135, zip_derived_cl66])).
% 0.57/1.05 thf(zip_derived_cl354, plain, (~ (in @ sk__177 @ sk__175)),
% 0.57/1.05 inference('sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl341])).
% 0.57/1.05 thf(zip_derived_cl136, plain, ( (in @ sk__177 @ sk__175)),
% 0.57/1.05 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/1.05 thf(zip_derived_cl357, plain, ($false),
% 0.57/1.05 inference('demod', [status(thm)], [zip_derived_cl354, zip_derived_cl136])).
% 0.57/1.05
% 0.57/1.05 % SZS output end Refutation
% 0.57/1.05
% 0.57/1.05
% 0.57/1.05 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.57/1.05 % Terminating...
% 4.21/1.27 % Runner terminated.
% 4.21/1.30 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------