0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.B5BoBe7dhD true 0.09/0.37 % Computer : n009.cluster.edu 0.09/0.37 % Model : x86_64 x86_64 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.37 % Memory : 8046.5625MB 0.09/0.37 % OS : Linux 6.8.0-71-generic 0.09/0.37 % CPULimit : 1440 0.09/0.37 % WCLimit : 180 0.09/0.37 % DateTime : Mon Jul 27 12:24:43 UTC 2026 0.09/0.37 % CPUTime : 0.09/0.37 % Running portfolio for 1440 s 0.09/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.09/0.37 % Number of cores: 8 0.09/0.38 % Python version: Python 3.12.3 0.09/0.38 % Running in HO mode 0.33/0.60 % Total configuration time : 828 0.33/0.60 % Estimated wc time : 1656 0.33/0.60 % Estimated cpu time (8 cpus) : 207.0 0.41/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.42/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.42/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.42/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.42/0.73 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.42/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.42/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.42/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 233.60/30.79 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 264.66/40.78 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s 380.54/60.86 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s 459.39/70.83 % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s 485.39/80.68 % /export/starexec/sandbox2/solver/bin/lams/33_shallow_sine.sh running for 66s 563.53/80.79 % /export/starexec/sandbox2/solver/bin/lams/40_e_lift.sh running for 80s 518.19/80.84 % /export/starexec/sandbox2/solver/bin/lams/15_lifting1.sh running for 30s 699.54/90.85 % /export/starexec/sandbox2/solver/bin/lams/8_new_cnf.sh running for 16s 627.51/90.92 % /export/starexec/sandbox2/solver/bin/lams/10_e_short2.sh running for 20s 746.34/96.87 % /export/starexec/sandbox2/solver/bin/lams/8_add_var_l_av.sh running for 16s 777.78/100.89 % /export/starexec/sandbox2/solver/bin/lams/8_new_sh_or.sh running for 16s 818.03/105.95 % Solved by lams/33_shallow_sine.sh. 818.03/105.95 % done 1048 iterations in 24.840s 818.03/105.95 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 818.03/105.95 % SZS output start Refutation 818.03/105.95 thf(setadjoinAx_type, type, setadjoinAx: $o). 818.03/105.95 thf(notdexE_type, type, notdexE: $o). 818.03/105.95 thf(setukpairinjL2_type, type, setukpairinjL2: $o). 818.03/105.95 thf(doubleComplementI1_type, type, doubleComplementI1: $o). 818.03/105.95 thf(setunionAx_type, type, setunionAx: $o). 818.03/105.95 thf(setminusELneg_type, type, setminusELneg: $o). 818.03/105.95 thf(cartprodsndin_type, type, cartprodsndin: $o). 818.03/105.95 thf(ex1E1_type, type, ex1E1: $o). 818.03/105.95 thf(powersetE_type, type, powersetE: $o). 818.03/105.95 thf(omegaSAx_type, type, omegaSAx: $o). 818.03/105.95 thf(exuI1_type, type, exuI1: $o). 818.03/105.95 thf(exuI2_type, type, exuI2: $o). 818.03/105.95 thf(notequalI2_type, type, notequalI2: $o). 818.03/105.95 thf(setukpairinjL_type, type, setukpairinjL: $o). 818.03/105.95 thf(kpairiskpair_type, type, kpairiskpair: $o). 818.03/105.95 thf(upairsubunion_type, type, upairsubunion: $o). 818.03/105.95 thf(funcGraphProp3_type, type, funcGraphProp3: $o). 818.03/105.95 thf(binunionTE_type, type, binunionTE: $o). 818.03/105.95 thf(cartprodmempaircEq_type, type, cartprodmempaircEq: $o). 818.03/105.95 thf(binintersectTERcontra_type, type, binintersectTERcontra: $o). 818.03/105.95 thf(powerset__Cong_type, type, powerset__Cong: $o). 818.03/105.95 thf(setminusILneg_type, type, setminusILneg: $o). 818.03/105.95 thf(wellorderingAx_type, type, wellorderingAx: $o). 818.03/105.95 thf(ksndpairEq_type, type, ksndpairEq: $o). 818.03/105.95 thf(funcGraphProp2_type, type, funcGraphProp2: $o). 818.03/105.95 thf(setadjoinSub2_type, type, setadjoinSub2: $o). 818.03/105.95 thf(binintersectSubset5_type, type, binintersectSubset5: $o). 818.03/105.95 thf(iftrue_type, type, iftrue: $o). 818.03/105.95 thf(upairinpowunion_type, type, upairinpowunion: $o). 818.03/105.95 thf(ifSingleton_type, type, ifSingleton: $o). 818.03/105.95 thf(doubleComplementSub2_type, type, doubleComplementSub2: $o). 818.03/105.95 thf(setoftrueEq_type, type, setoftrueEq: $o). 818.03/105.95 thf(funcImageSingleton_type, type, funcImageSingleton: $o). 818.03/105.95 thf(inIntersectImpInUnion2_type, type, inIntersectImpInUnion2: $o). 818.03/105.95 thf(dpsetconstrERa_type, type, dpsetconstrERa: $o). 818.03/105.95 thf(lamProp_type, type, lamProp: $o). 818.03/105.95 thf(cartprodpairmemEL_type, type, cartprodpairmemEL: $o). 818.03/105.95 thf(emptyset__Cong_type, type, emptyset__Cong: $o). 818.03/105.95 thf(dpsetconstrER_type, type, dpsetconstrER: $o). 818.03/105.95 thf(sepInPowerset_type, type, sepInPowerset: $o). 818.03/105.95 thf(setukpairIR_type, type, setukpairIR: $o). 818.03/105.95 thf(setukpairinjR1_type, type, setukpairinjR1: $o). 818.03/105.95 thf(lam2p_type, type, lam2p: $o). 818.03/105.95 thf(kpair_type, type, kpair: $i > $i > $i). 818.03/105.95 thf(binunionE_type, type, binunionE: $o). 818.03/105.95 thf(setext_type, type, setext: $o). 818.03/105.95 thf(emptyinPowerset_type, type, emptyinPowerset: $o). 818.03/105.95 thf(ubforcartprodlem1_type, type, ubforcartprodlem1: $o). 818.03/105.95 thf(descr__Cong_type, type, descr__Cong: $o). 818.03/105.95 thf(kfstsingleton_type, type, kfstsingleton: $o). 818.03/105.95 thf(binintersectTELcontra_type, type, binintersectTELcontra: $o). 818.03/105.95 thf(doubleComplementEq_type, type, doubleComplementEq: $o). 818.03/105.95 thf(eqbreln_type, type, eqbreln: $o). 818.03/105.95 thf(binintersectSubset1_type, type, binintersectSubset1: $o). 818.03/105.95 thf(inComplementUnionImpInComplement1_type, type, inComplementUnionImpInComplement1: 818.03/105.95 $o). 818.03/105.95 thf(complementImpComplementIntersect_type, type, complementImpComplementIntersect: 818.03/105.95 $o). 818.03/105.95 thf(in_type, type, in: $i > $i > $o). 818.03/105.95 thf(binunionT_lem_type, type, binunionT_lem: $o). 818.03/105.95 thf(quantDeMorgan1_type, type, quantDeMorgan1: $o). 818.03/105.95 thf(complementT_lem_type, type, complementT_lem: $o). 818.03/105.95 thf(binunion_type, type, binunion: $i > $i > $i). 818.03/105.95 thf(kpairsurjEq_type, type, kpairsurjEq: $o). 818.03/105.95 thf(setadjoinIR_type, type, setadjoinIR: $o). 818.03/105.95 thf(doubleComplementE1_type, type, doubleComplementE1: $o). 818.03/105.95 thf(beta1_type, type, beta1: $o). 818.03/105.95 thf(setadjoin__Cong_type, type, setadjoin__Cong: $o). 818.03/105.95 thf(powersetTE1_type, type, powersetTE1: $o). 818.03/105.95 thf(symdiffI2_type, type, symdiffI2: $o). 818.03/105.95 thf(iftrueProp2_type, type, iftrueProp2: $o). 818.03/105.95 thf(upairset2IR_type, type, upairset2IR: $o). 818.03/105.95 thf(iffalseProp2_type, type, iffalseProp2: $o). 818.03/105.95 thf(subsetE_type, type, subsetE: $o). 818.03/105.95 thf(prop2set2propI_type, type, prop2set2propI: $o). 818.03/105.95 thf(dsetconstrEL_type, type, dsetconstrEL: $o). 818.03/105.95 thf(setbeta_type, type, setbeta: $o). 818.03/105.95 thf(eqinunit_type, type, eqinunit: $o). 818.03/105.95 thf(upairsetIL_type, type, upairsetIL: $o). 818.03/105.95 thf(powersetI1_type, type, powersetI1: $o). 818.03/105.95 thf(kfstpairEq_type, type, kfstpairEq: $o). 818.03/105.95 thf(binintersectSubset3_type, type, binintersectSubset3: $o). 818.03/105.95 thf(inComplementUnionImpNotIn1_type, type, inComplementUnionImpNotIn1: $o). 818.03/105.95 thf(setminusIRneg_type, type, setminusIRneg: $o). 818.03/105.95 thf(ap2apEq1_type, type, ap2apEq1: $o). 818.03/105.95 thf(powersetAx_type, type, powersetAx: $o). 818.03/105.95 thf(binintersectSubset4_type, type, binintersectSubset4: $o). 818.03/105.95 thf(singletoninpowunion_type, type, singletoninpowunion: $o). 818.03/105.95 thf(binunionTIRcontra_type, type, binunionTIRcontra: $o). 818.03/105.95 thf(powersetI_type, type, powersetI: $o). 818.03/105.95 thf(cartprodmempair_type, type, cartprodmempair: $o). 818.03/105.95 thf(upairsetIR_type, type, upairsetIR: $o). 818.03/105.95 thf(lamp_type, type, lamp: $o). 818.03/105.95 thf(dpsetconstrEL1_type, type, dpsetconstrEL1: $o). 818.03/105.95 thf(inCongP_type, type, inCongP: $o). 818.03/105.95 thf(setadjoinSub_type, type, setadjoinSub: $o). 818.03/105.95 thf(exuE3e_type, type, exuE3e: $o). 818.03/105.95 thf(emptysetE_type, type, emptysetE: $o). 818.03/105.95 thf(binintersectSubset2_type, type, binintersectSubset2: $o). 818.03/105.95 thf(setunionI_type, type, setunionI: $o). 818.03/105.95 thf(setunion__Cong_type, type, setunion__Cong: $o). 818.03/105.95 thf(prop2setI_type, type, prop2setI: $o). 818.03/105.95 thf(singletonsuniq_type, type, singletonsuniq: $o). 818.03/105.95 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o). 818.03/105.95 thf(setminusER_type, type, setminusER: $o). 818.03/105.95 thf(exuE2_type, type, exuE2: $o). 818.03/105.95 thf(emptyset_type, type, emptyset: $i). 818.03/105.95 thf(setukpairinjR11_type, type, setukpairinjR11: $o). 818.03/105.95 thf(ex1I_type, type, ex1I: $o). 818.03/105.95 thf(ex1E2_type, type, ex1E2: $o). 818.03/105.95 thf(setminus_type, type, setminus: $i > $i > $i). 818.03/105.95 thf(setukpairinjL1_type, type, setukpairinjL1: $o). 818.03/105.95 thf(powersetsubset_type, type, powersetsubset: $o). 818.03/105.95 thf(binunionTILcontra_type, type, binunionTILcontra: $o). 818.03/105.95 thf(subPowSU_type, type, subPowSU: $o). 818.03/105.95 thf(notequalI1_type, type, notequalI1: $o). 818.03/105.95 thf(contrasubsetT_type, type, contrasubsetT: $o). 818.03/105.95 thf(notinemptyset_type, type, notinemptyset: $o). 818.03/105.95 thf(lam2lamEq_type, type, lam2lamEq: $o). 818.03/105.95 thf(nonemptyI1_type, type, nonemptyI1: $o). 818.03/105.95 thf(subsetTrans_type, type, subsetTrans: $o). 818.03/105.95 thf(kpairp_type, type, kpairp: $o). 818.03/105.95 thf(setukpairinjR12_type, type, setukpairinjR12: $o). 818.03/105.95 thf(setminusI_type, type, setminusI: $o). 818.03/105.95 thf(binunionIL_type, type, binunionIL: $o). 818.03/105.95 thf(dpsetconstrSub_type, type, dpsetconstrSub: $o). 818.03/105.95 thf(setunionsingleton_type, type, setunionsingleton: $o). 818.03/105.95 thf(subsetE2_type, type, subsetE2: $o). 818.03/105.95 thf(singletonsswitch_type, type, singletonsswitch: $o). 818.03/105.95 thf(ubforcartprodlem3_type, type, ubforcartprodlem3: $o). 818.03/105.95 thf(beta2_type, type, beta2: $o). 818.03/105.95 thf(dpsetconstrI_type, type, dpsetconstrI: $o). 818.03/105.95 thf(setextsub_type, type, setextsub: $o). 818.03/105.95 thf(binunionLsub_type, type, binunionLsub: $o). 818.03/105.95 thf(setunionsingleton1_type, type, setunionsingleton1: $o). 818.03/105.95 thf(iftrueorfalse_type, type, iftrueorfalse: $o). 818.03/105.95 thf(emptysetsubset_type, type, emptysetsubset: $o). 818.03/105.95 thf(quantDeMorgan3_type, type, quantDeMorgan3: $o). 818.03/105.95 thf(cartprodpairsurjEq_type, type, cartprodpairsurjEq: $o). 818.03/105.95 thf(setOfPairsIsBReln_type, type, setOfPairsIsBReln: $o). 818.03/105.95 thf(setunionE_type, type, setunionE: $o). 818.03/105.95 thf(ksndsingleton_type, type, ksndsingleton: $o). 818.03/105.95 thf(setminusSubset1_type, type, setminusSubset1: $o). 818.03/105.95 thf(powersetT_lem_type, type, powersetT_lem: $o). 818.03/105.95 thf(emptyinunitempty_type, type, emptyinunitempty: $o). 818.03/105.95 thf(binunionIR_type, type, binunionIR: $o). 818.03/105.95 thf(theeq_type, type, theeq: $o). 818.03/105.95 thf(setadjoinE_type, type, setadjoinE: $o). 818.03/105.95 thf(doubleComplementSub1_type, type, doubleComplementSub1: $o). 818.03/105.95 thf(infuncsetfunc_type, type, infuncsetfunc: $o). 818.03/105.95 thf(ap2apEq2_type, type, ap2apEq2: $o). 818.03/105.95 thf(ap2p_type, type, ap2p: $o). 818.03/105.95 thf(sk__388_type, type, sk__388: $i). 818.03/105.95 thf(setadjoinIL_type, type, setadjoinIL: $o). 818.03/105.95 thf(cartprodsndpairEq_type, type, cartprodsndpairEq: $o). 818.03/105.95 thf(exuE1_type, type, exuE1: $o). 818.03/105.95 thf(ubforcartprodlem2_type, type, ubforcartprodlem2: $o). 818.03/105.95 thf(binintersectRsub_type, type, binintersectRsub: $o). 818.03/105.95 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $o). 818.03/105.95 thf(setminusLsub_type, type, setminusLsub: $o). 818.03/105.95 thf(funcextLem_type, type, funcextLem: $o). 818.03/105.95 thf(setukpairinjR_type, type, setukpairinjR: $o). 818.03/105.95 thf(notinsingleton_type, type, notinsingleton: $o). 818.03/105.95 thf(inIntersectImpInIntersectUnions_type, type, inIntersectImpInIntersectUnions: 818.03/105.95 $o). 818.03/105.95 thf(eqimpsubset2_type, type, eqimpsubset2: $o). 818.03/105.95 thf(exuEu_type, type, exuEu: $o). 818.03/105.95 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o). 818.03/105.95 thf(upairsetE_type, type, upairsetE: $o). 818.03/105.95 thf(omega0Ax_type, type, omega0Ax: $o). 818.03/105.95 thf(subsetTI_type, type, subsetTI: $o). 818.03/105.95 thf(notsubsetI_type, type, notsubsetI: $o). 818.03/105.95 thf(contraSubsetComplement_type, type, contraSubsetComplement: $o). 818.03/105.95 thf(iffalseProp1_type, type, iffalseProp1: $o). 818.03/105.95 thf(quantDeMorgan4_type, type, quantDeMorgan4: $o). 818.03/105.95 thf(setextAx_type, type, setextAx: $o). 818.03/105.95 thf(cartprodpairmemER_type, type, cartprodpairmemER: $o). 818.03/105.95 thf(powersetE1_type, type, powersetE1: $o). 818.03/105.95 thf(bs114d_type, type, bs114d: $o). 818.03/105.95 thf(contrasubsetT3_type, type, contrasubsetT3: $o). 818.03/105.95 thf(noeltsimpempty_type, type, noeltsimpempty: $o). 818.03/105.95 thf(complementTcontraSubset_type, type, complementTcontraSubset: $o). 818.03/105.95 thf(ifp_type, type, ifp: $o). 818.03/105.95 thf(inIntersectImpInUnion_type, type, inIntersectImpInUnion: $o). 818.03/105.95 thf(powersetTI1_type, type, powersetTI1: $o). 818.03/105.95 thf(binintersectLsub_type, type, binintersectLsub: $o). 818.03/105.95 thf(subsetI1_type, type, subsetI1: $o). 818.03/105.95 thf(symdiffE_type, type, symdiffE: $o). 818.03/105.95 thf(descrp_type, type, descrp: $o). 818.03/105.95 thf(dsetconstr__Cong_type, type, dsetconstr__Cong: $o). 818.03/105.95 thf(foundationAx_type, type, foundationAx: $o). 818.03/105.95 thf(emptysetAx_type, type, emptysetAx: $o). 818.03/105.95 thf(emptyI_type, type, emptyI: $o). 818.03/105.95 thf(setadjoinOr_type, type, setadjoinOr: $o). 818.03/105.95 thf(eta2_type, type, eta2: $o). 818.03/105.95 thf(binintersectEL_type, type, binintersectEL: $o). 818.03/105.95 thf(emptyE1_type, type, emptyE1: $o). 818.03/105.95 thf(sk__390_type, type, sk__390: $i). 818.03/105.95 thf(emptyInPowerset_type, type, emptyInPowerset: $o). 818.03/105.95 thf(complementTI1_type, type, complementTI1: $o). 818.03/105.95 thf(vacuousDall_type, type, vacuousDall: $o). 818.03/105.95 thf(dsetconstrER_type, type, dsetconstrER: $o). 818.03/105.95 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o). 818.03/105.95 thf(binintersectI_type, type, binintersectI: $o). 818.03/105.95 thf(funcext_type, type, funcext: $o). 818.03/105.95 thf(funcGraphProp4_type, type, funcGraphProp4: $o). 818.03/105.95 thf(cartprodpairin_type, type, cartprodpairin: $o). 818.03/105.95 thf(cartprodmempair1_type, type, cartprodmempair1: $o). 818.03/105.95 thf(brelnall2_type, type, brelnall2: $o). 818.03/105.95 thf(setextT_type, type, setextT: $o). 818.03/105.95 thf(ex1I2_type, type, ex1I2: $o). 818.03/105.95 thf(symdiffI1_type, type, symdiffI1: $o). 818.03/105.95 thf(setukpairinjR2_type, type, setukpairinjR2: $o). 818.03/105.95 thf(dpsetconstrEL2_type, type, dpsetconstrEL2: $o). 818.03/105.95 thf(theprop_type, type, theprop: $o). 818.03/105.95 thf(subsetI2_type, type, subsetI2: $o). 818.03/105.95 thf(complementInPowersetComplementIntersect_type, type, complementInPowersetComplementIntersect: 818.03/105.95 $o). 818.03/105.95 thf(setminusT_lem_type, type, setminusT_lem: $o). 818.03/105.95 thf(symdiffIneg1_type, type, symdiffIneg1: $o). 818.03/105.95 thf(setminusERneg_type, type, setminusERneg: $o). 818.03/105.95 thf(symdiffIneg2_type, type, symdiffIneg2: $o). 818.03/105.95 thf(omega__Cong_type, type, omega__Cong: $o). 818.03/105.95 thf(subsetRefl_type, type, subsetRefl: $o). 818.03/105.95 thf(uniqinunit_type, type, uniqinunit: $o). 818.03/105.95 thf(complementSubsetComplementIntersect_type, type, complementSubsetComplementIntersect: 818.03/105.95 $o). 818.03/105.95 thf(setminusSubset2_type, type, setminusSubset2: $o). 818.03/105.95 thf(prop2setE_type, type, prop2setE: $o). 818.03/105.95 thf(binunionEcases_type, type, binunionEcases: $o). 818.03/105.95 thf(funcinfuncset_type, type, funcinfuncset: $o). 818.03/105.95 thf(complementTE1_type, type, complementTE1: $o). 818.03/105.95 thf(nonemptyI_type, type, nonemptyI: $o). 818.03/105.95 thf(app_type, type, app: $o). 818.03/105.95 thf(disjointsetsI1_type, type, disjointsetsI1: $o). 818.03/105.95 thf(sk__389_type, type, sk__389: $i). 818.03/105.95 thf(demorgan2a1_type, type, demorgan2a1: $o). 818.03/105.95 thf(exuE3u_type, type, exuE3u: $o). 818.03/105.95 thf(eta1_type, type, eta1: $o). 818.03/105.95 thf(setminusEL_type, type, setminusEL: $o). 818.03/105.95 thf(cartprodfstin_type, type, cartprodfstin: $o). 818.03/105.95 thf(setunionsingleton2_type, type, setunionsingleton2: $o). 818.03/105.95 thf(sepSubset_type, type, sepSubset: $o). 818.03/105.95 thf(complementTnotintersectT_type, type, complementTnotintersectT: $o). 818.03/105.95 thf(upairset2E_type, type, upairset2E: $o). 818.03/105.95 thf(eqimpsubset1_type, type, eqimpsubset1: $o). 818.03/105.95 thf(exuI3_type, type, exuI3: $o). 818.03/105.95 thf(cartprodfstpairEq_type, type, cartprodfstpairEq: $o). 818.03/105.95 thf(apProp_type, type, apProp: $o). 818.03/105.95 thf(notdallE_type, type, notdallE: $o). 818.03/105.95 thf(iftrueProp1_type, type, iftrueProp1: $o). 818.03/105.95 thf(binintersectER_type, type, binintersectER: $o). 818.03/105.95 thf(brelnall1_type, type, brelnall1: $o). 818.03/105.95 thf(powerset_type, type, powerset: $i > $i). 818.03/105.95 thf(binunionTEcontra_type, type, binunionTEcontra: $o). 818.03/105.95 thf(dsetconstrI_type, type, dsetconstrI: $o). 818.03/105.95 thf(funcGraphProp1_type, type, funcGraphProp1: $o). 818.03/105.95 thf(binintersectT_lem_type, type, binintersectT_lem: $o). 818.03/105.95 thf(setadjoin_type, type, setadjoin: $i > $i > $i). 818.03/105.95 thf(exu__Cong_type, type, exu__Cong: $o). 818.03/105.95 thf(intersectInPowersetIntersectUnions_type, type, intersectInPowersetIntersectUnions: 818.03/105.95 $o). 818.03/105.95 thf(quantDeMorgan2_type, type, quantDeMorgan2: $o). 818.03/105.95 thf(contrasubsetT2_type, type, contrasubsetT2: $o). 818.03/105.95 thf(secondinupair_type, type, secondinupair: $o). 818.03/105.95 thf(singletonprop_type, type, singletonprop: $o). 818.03/105.95 thf(singletonsubset_type, type, singletonsubset: $o). 818.03/105.95 thf(contrasubsetT1_type, type, contrasubsetT1: $o). 818.03/105.95 thf(singletoninpowerset_type, type, singletoninpowerset: $o). 818.03/105.95 thf(subsetemptysetimpeq_type, type, subsetemptysetimpeq: $o). 818.03/105.95 thf(replAx_type, type, replAx: $o). 818.03/105.95 thf(upairequniteq_type, type, upairequniteq: $o). 818.03/105.95 thf(nonemptyE1_type, type, nonemptyE1: $o). 818.03/105.95 thf(omegaIndAx_type, type, omegaIndAx: $o). 818.03/105.95 thf(setukpairIL_type, type, setukpairIL: $o). 818.03/105.95 thf(setunionE2_type, type, setunionE2: $o). 818.03/105.95 thf(inPowerset_type, type, inPowerset: $o). 818.03/105.95 thf(iffalse_type, type, iffalse: $o). 818.03/105.95 thf(funcext2_type, type, funcext2: $o). 818.03/105.95 thf(subset_type, type, subset: $i > $i > $o). 818.03/105.95 thf(subbreln_type, type, subbreln: $o). 818.03/105.95 thf(in__Cong_type, type, in__Cong: $o). 818.03/105.95 thf(binunionRsub_type, type, binunionRsub: $o). 818.03/105.95 thf(subset2powerset_type, type, subset2powerset: $o). 818.03/105.95 thf(demorgan2a1, axiom, demorgan2a1 = 818.03/105.95 (![A:$i,X:$i]: 818.03/105.95 ( ( in @ X @ ( powerset @ A ) ) => 818.03/105.95 ( ![Y:$i]: 818.03/105.95 ( ( in @ Y @ ( powerset @ A ) ) => 818.03/105.95 ( ![Xx:$i]: 818.03/105.95 ( ( in @ Xx @ A ) => 818.03/105.95 ( ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) ) => 818.03/105.95 ( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ) ))). 818.03/105.95 thf('0', plain, 818.03/105.95 (( demorgan2a1 ) = 818.03/105.95 ( ![X4:$i,X6:$i]: 818.03/105.95 ( ( in @ X6 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X8:$i]: 818.03/105.95 ( ( in @ X8 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X10:$i]: 818.03/105.95 ( ( in @ X10 @ X4 ) => 818.03/105.95 ( ( in @ X10 @ ( setminus @ X4 @ ( binunion @ X6 @ X8 ) ) ) => 818.03/105.95 ( in @ X10 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(binunionTEcontra, axiom, binunionTEcontra = 818.03/105.95 (![A:$i,X:$i]: 818.03/105.95 ( ( in @ X @ ( powerset @ A ) ) => 818.03/105.95 ( ![Y:$i]: 818.03/105.95 ( ( in @ Y @ ( powerset @ A ) ) => 818.03/105.95 ( ![Xx:$i]: 818.03/105.95 ( ( in @ Xx @ A ) => 818.03/105.95 ( ( ~( in @ Xx @ X ) ) => 818.03/105.95 ( ( ~( in @ Xx @ Y ) ) => 818.03/105.95 ( ~( in @ Xx @ ( binunion @ X @ Y ) ) ) ) ) ) ) ) ) ))). 818.03/105.95 thf('1', plain, 818.03/105.95 (( binunionTEcontra ) = 818.03/105.95 ( ![X4:$i,X6:$i]: 818.03/105.95 ( ( in @ X6 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X8:$i]: 818.03/105.95 ( ( in @ X8 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X10:$i]: 818.03/105.95 ( ( in @ X10 @ X4 ) => 818.03/105.95 ( ( ~( in @ X10 @ X6 ) ) => 818.03/105.95 ( ( ~( in @ X10 @ X8 ) ) => 818.03/105.95 ( ~( in @ X10 @ ( binunion @ X6 @ X8 ) ) ) ) ) ) ) ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(binunionTE, axiom, binunionTE = 818.03/105.95 (![A:$i,X:$i]: 818.03/105.95 ( ( in @ X @ ( powerset @ A ) ) => 818.03/105.95 ( ![Y:$i]: 818.03/105.95 ( ( in @ Y @ ( powerset @ A ) ) => 818.03/105.95 ( ![Xphi:$o,Xx:$i]: 818.03/105.95 ( ( in @ Xx @ A ) => 818.03/105.95 ( ( in @ Xx @ ( binunion @ X @ Y ) ) => 818.03/105.95 ( ( ( in @ Xx @ X ) => ( Xphi ) ) => 818.03/105.95 ( ( ( in @ Xx @ Y ) => ( Xphi ) ) => ( Xphi ) ) ) ) ) ) ) ) ))). 818.03/105.95 thf('2', plain, 818.03/105.95 (( binunionTE ) = 818.03/105.95 ( ![X4:$i,X6:$i]: 818.03/105.95 ( ( in @ X6 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X8:$i]: 818.03/105.95 ( ( in @ X8 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X10:$o,X12:$i]: 818.03/105.95 ( ( in @ X12 @ X4 ) => 818.03/105.95 ( ( in @ X12 @ ( binunion @ X6 @ X8 ) ) => 818.03/105.95 ( ( ( in @ X12 @ X6 ) => ( X10 ) ) => 818.03/105.95 ( ( ( in @ X12 @ X8 ) => ( X10 ) ) => ( X10 ) ) ) ) ) ) ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(inComplementUnionImpInComplement1, axiom, 818.03/105.95 inComplementUnionImpInComplement1 = 818.03/105.95 (![A:$i,X:$i]: 818.03/105.95 ( ( in @ X @ ( powerset @ A ) ) => 818.03/105.95 ( ![Y:$i]: 818.03/105.95 ( ( in @ Y @ ( powerset @ A ) ) => 818.03/105.95 ( ![Xx:$i]: 818.03/105.95 ( ( in @ Xx @ A ) => 818.03/105.95 ( ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) ) => 818.03/105.95 ( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ) ))). 818.03/105.95 thf('3', plain, 818.03/105.95 (( inComplementUnionImpInComplement1 ) = 818.03/105.95 ( ![X4:$i,X6:$i]: 818.03/105.95 ( ( in @ X6 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X8:$i]: 818.03/105.95 ( ( in @ X8 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X10:$i]: 818.03/105.95 ( ( in @ X10 @ X4 ) => 818.03/105.95 ( ( in @ X10 @ ( setminus @ X4 @ ( binunion @ X6 @ X8 ) ) ) => 818.03/105.95 ( in @ X10 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(inComplementUnionImpNotIn1, axiom, inComplementUnionImpNotIn1 = 818.03/105.95 (![A:$i,X:$i]: 818.03/105.95 ( ( in @ X @ ( powerset @ A ) ) => 818.03/105.95 ( ![Y:$i]: 818.03/105.95 ( ( in @ Y @ ( powerset @ A ) ) => 818.03/105.95 ( ![Xx:$i]: 818.03/105.95 ( ( in @ Xx @ A ) => 818.03/105.95 ( ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) ) => 818.03/105.95 ( ~( in @ Xx @ X ) ) ) ) ) ) ) ))). 818.03/105.95 thf('4', plain, 818.03/105.95 (( inComplementUnionImpNotIn1 ) = 818.03/105.95 ( ![X4:$i,X6:$i]: 818.03/105.95 ( ( in @ X6 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X8:$i]: 818.03/105.95 ( ( in @ X8 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X10:$i]: 818.03/105.95 ( ( in @ X10 @ X4 ) => 818.03/105.95 ( ( in @ X10 @ ( setminus @ X4 @ ( binunion @ X6 @ X8 ) ) ) => 818.03/105.95 ( ~( in @ X10 @ X6 ) ) ) ) ) ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(binunionTIRcontra, axiom, binunionTIRcontra = 818.03/105.95 (![A:$i,X:$i]: 818.03/105.95 ( ( in @ X @ ( powerset @ A ) ) => 818.03/105.95 ( ![Y:$i]: 818.03/105.95 ( ( in @ Y @ ( powerset @ A ) ) => 818.03/105.95 ( ![Xx:$i]: 818.03/105.95 ( ( in @ Xx @ A ) => 818.03/105.95 ( ( ~( in @ Xx @ ( binunion @ X @ Y ) ) ) => 818.03/105.95 ( ~( in @ Xx @ Y ) ) ) ) ) ) ) ))). 818.03/105.95 thf('5', plain, 818.03/105.95 (( binunionTIRcontra ) = 818.03/105.95 ( ![X4:$i,X6:$i]: 818.03/105.95 ( ( in @ X6 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X8:$i]: 818.03/105.95 ( ( in @ X8 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X10:$i]: 818.03/105.95 ( ( in @ X10 @ X4 ) => 818.03/105.95 ( ( ~( in @ X10 @ ( binunion @ X6 @ X8 ) ) ) => 818.03/105.95 ( ~( in @ X10 @ X8 ) ) ) ) ) ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(binunionTILcontra, axiom, binunionTILcontra = 818.03/105.95 (![A:$i,X:$i]: 818.03/105.95 ( ( in @ X @ ( powerset @ A ) ) => 818.03/105.95 ( ![Y:$i]: 818.03/105.95 ( ( in @ Y @ ( powerset @ A ) ) => 818.03/105.95 ( ![Xx:$i]: 818.03/105.95 ( ( in @ Xx @ A ) => 818.03/105.95 ( ( ~( in @ Xx @ ( binunion @ X @ Y ) ) ) => 818.03/105.95 ( ~( in @ Xx @ X ) ) ) ) ) ) ) ))). 818.03/105.95 thf('6', plain, 818.03/105.95 (( binunionTILcontra ) = 818.03/105.95 ( ![X4:$i,X6:$i]: 818.03/105.95 ( ( in @ X6 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X8:$i]: 818.03/105.95 ( ( in @ X8 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X10:$i]: 818.03/105.95 ( ( in @ X10 @ X4 ) => 818.03/105.95 ( ( ~( in @ X10 @ ( binunion @ X6 @ X8 ) ) ) => 818.03/105.95 ( ~( in @ X10 @ X6 ) ) ) ) ) ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(complementTcontraSubset, axiom, complementTcontraSubset = 818.03/105.95 (![A:$i,X:$i]: 818.03/105.95 ( ( in @ X @ ( powerset @ A ) ) => 818.03/105.95 ( ![Y:$i]: 818.03/105.95 ( ( in @ Y @ ( powerset @ A ) ) => 818.03/105.95 ( ( subset @ X @ ( setminus @ A @ Y ) ) => 818.03/105.95 ( subset @ Y @ ( setminus @ A @ X ) ) ) ) ) ))). 818.03/105.95 thf('7', plain, 818.03/105.95 (( complementTcontraSubset ) = 818.03/105.95 ( ![X4:$i,X6:$i]: 818.03/105.95 ( ( in @ X6 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X8:$i]: 818.03/105.95 ( ( in @ X8 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ( subset @ X6 @ ( setminus @ X4 @ X8 ) ) => 818.03/105.95 ( subset @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(contraSubsetComplement, axiom, contraSubsetComplement = 818.03/105.95 (![A:$i,X:$i]: 818.03/105.95 ( ( in @ X @ ( powerset @ A ) ) => 818.03/105.95 ( ![Y:$i]: 818.03/105.95 ( ( in @ Y @ ( powerset @ A ) ) => 818.03/105.95 ( ( subset @ X @ ( setminus @ A @ Y ) ) => 818.03/105.95 ( ![Xx:$i]: 818.03/105.95 ( ( in @ Xx @ A ) => 818.03/105.95 ( ( in @ Xx @ Y ) => ( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ) ) ))). 818.03/105.95 thf('8', plain, 818.03/105.95 (( contraSubsetComplement ) = 818.03/105.95 ( ![X4:$i,X6:$i]: 818.03/105.95 ( ( in @ X6 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X8:$i]: 818.03/105.95 ( ( in @ X8 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ( subset @ X6 @ ( setminus @ X4 @ X8 ) ) => 818.03/105.95 ( ![X10:$i]: 818.03/105.95 ( ( in @ X10 @ X4 ) => 818.03/105.95 ( ( in @ X10 @ X8 ) => 818.03/105.95 ( in @ X10 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(doubleComplementEq, axiom, doubleComplementEq = 818.03/105.95 (![A:$i,X:$i]: 818.03/105.95 ( ( in @ X @ ( powerset @ A ) ) => 818.03/105.95 ( ( X ) = ( setminus @ A @ ( setminus @ A @ X ) ) ) ))). 818.03/105.95 thf('9', plain, 818.03/105.95 (( doubleComplementEq ) = 818.03/105.95 ( ![X4:$i,X6:$i]: 818.03/105.95 ( ( in @ X6 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ( X6 ) = ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(doubleComplementSub2, axiom, doubleComplementSub2 = 818.03/105.95 (![A:$i,X:$i]: 818.03/105.95 ( ( in @ X @ ( powerset @ A ) ) => 818.03/105.95 ( subset @ ( setminus @ A @ ( setminus @ A @ X ) ) @ X ) ))). 818.03/105.95 thf('10', plain, 818.03/105.95 (( doubleComplementSub2 ) = 818.03/105.95 ( ![X4:$i,X6:$i]: 818.03/105.95 ( ( in @ X6 @ ( powerset @ X4 ) ) => 818.03/105.95 ( subset @ ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) @ X6 ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(doubleComplementSub1, axiom, doubleComplementSub1 = 818.03/105.95 (![A:$i,X:$i]: 818.03/105.95 ( ( in @ X @ ( powerset @ A ) ) => 818.03/105.95 ( subset @ X @ ( setminus @ A @ ( setminus @ A @ X ) ) ) ))). 818.03/105.95 thf('11', plain, 818.03/105.95 (( doubleComplementSub1 ) = 818.03/105.95 ( ![X4:$i,X6:$i]: 818.03/105.95 ( ( in @ X6 @ ( powerset @ X4 ) ) => 818.03/105.95 ( subset @ X6 @ ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(doubleComplementE1, axiom, doubleComplementE1 = 818.03/105.95 (![A:$i,X:$i]: 818.03/105.95 ( ( in @ X @ ( powerset @ A ) ) => 818.03/105.95 ( ![Xx:$i]: 818.03/105.95 ( ( in @ Xx @ A ) => 818.03/105.95 ( ( in @ Xx @ ( setminus @ A @ ( setminus @ A @ X ) ) ) => 818.03/105.95 ( in @ Xx @ X ) ) ) ) ))). 818.03/105.95 thf('12', plain, 818.03/105.95 (( doubleComplementE1 ) = 818.03/105.95 ( ![X4:$i,X6:$i]: 818.03/105.95 ( ( in @ X6 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X8:$i]: 818.03/105.95 ( ( in @ X8 @ X4 ) => 818.03/105.95 ( ( in @ X8 @ ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) ) => 818.03/105.95 ( in @ X8 @ X6 ) ) ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(doubleComplementI1, axiom, doubleComplementI1 = 818.03/105.95 (![A:$i,X:$i]: 818.03/105.95 ( ( in @ X @ ( powerset @ A ) ) => 818.03/105.95 ( ![Xx:$i]: 818.03/105.95 ( ( in @ Xx @ A ) => 818.03/105.95 ( ( in @ Xx @ X ) => 818.03/105.95 ( in @ Xx @ ( setminus @ A @ ( setminus @ A @ X ) ) ) ) ) ) ))). 818.03/105.95 thf('13', plain, 818.03/105.95 (( doubleComplementI1 ) = 818.03/105.95 ( ![X4:$i,X6:$i]: 818.03/105.95 ( ( in @ X6 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X8:$i]: 818.03/105.95 ( ( in @ X8 @ X4 ) => 818.03/105.95 ( ( in @ X8 @ X6 ) => 818.03/105.95 ( in @ X8 @ ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(contrasubsetT3, axiom, contrasubsetT3 = 818.03/105.95 (![A:$i,X:$i]: 818.03/105.95 ( ( in @ X @ ( powerset @ A ) ) => 818.03/105.95 ( ![Y:$i]: 818.03/105.95 ( ( in @ Y @ ( powerset @ A ) ) => 818.03/105.95 ( ( subset @ ( setminus @ A @ Y ) @ ( setminus @ A @ X ) ) => 818.03/105.95 ( subset @ X @ Y ) ) ) ) ))). 818.03/105.95 thf('14', plain, 818.03/105.95 (( contrasubsetT3 ) = 818.03/105.95 ( ![X4:$i,X6:$i]: 818.03/105.95 ( ( in @ X6 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X8:$i]: 818.03/105.95 ( ( in @ X8 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ( subset @ ( setminus @ X4 @ X8 ) @ ( setminus @ X4 @ X6 ) ) => 818.03/105.95 ( subset @ X6 @ X8 ) ) ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(contrasubsetT2, axiom, contrasubsetT2 = 818.03/105.95 (![A:$i,X:$i]: 818.03/105.95 ( ( in @ X @ ( powerset @ A ) ) => 818.03/105.95 ( ![Y:$i]: 818.03/105.95 ( ( in @ Y @ ( powerset @ A ) ) => 818.03/105.95 ( ( subset @ X @ Y ) => 818.03/105.95 ( subset @ ( setminus @ A @ Y ) @ ( setminus @ A @ X ) ) ) ) ) ))). 818.03/105.95 thf('15', plain, 818.03/105.95 (( contrasubsetT2 ) = 818.03/105.95 ( ![X4:$i,X6:$i]: 818.03/105.95 ( ( in @ X6 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X8:$i]: 818.03/105.95 ( ( in @ X8 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ( subset @ X6 @ X8 ) => 818.03/105.95 ( subset @ ( setminus @ X4 @ X8 ) @ ( setminus @ X4 @ X6 ) ) ) ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(contrasubsetT1, axiom, contrasubsetT1 = 818.03/105.95 (![A:$i,X:$i]: 818.03/105.95 ( ( in @ X @ ( powerset @ A ) ) => 818.03/105.95 ( ![Y:$i]: 818.03/105.95 ( ( in @ Y @ ( powerset @ A ) ) => 818.03/105.95 ( ![Xx:$i]: 818.03/105.95 ( ( in @ Xx @ A ) => 818.03/105.95 ( ( subset @ X @ Y ) => 818.03/105.95 ( ( ~( in @ Xx @ Y ) ) => ( ~( in @ Xx @ X ) ) ) ) ) ) ) ) ))). 818.03/105.95 thf('16', plain, 818.03/105.95 (( contrasubsetT1 ) = 818.03/105.95 ( ![X4:$i,X6:$i]: 818.03/105.95 ( ( in @ X6 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X8:$i]: 818.03/105.95 ( ( in @ X8 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X10:$i]: 818.03/105.95 ( ( in @ X10 @ X4 ) => 818.03/105.95 ( ( subset @ X6 @ X8 ) => 818.03/105.95 ( ( ~( in @ X10 @ X8 ) ) => ( ~( in @ X10 @ X6 ) ) ) ) ) ) ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(contrasubsetT, axiom, contrasubsetT = 818.03/105.95 (![A:$i,X:$i]: 818.03/105.95 ( ( in @ X @ ( powerset @ A ) ) => 818.03/105.95 ( ![Y:$i]: 818.03/105.95 ( ( in @ Y @ ( powerset @ A ) ) => 818.03/105.95 ( ![Xx:$i]: 818.03/105.95 ( ( in @ Xx @ A ) => 818.03/105.95 ( ( subset @ X @ ( setminus @ A @ Y ) ) => 818.03/105.95 ( ( in @ Xx @ Y ) => ( ~( in @ Xx @ X ) ) ) ) ) ) ) ) ))). 818.03/105.95 thf('17', plain, 818.03/105.95 (( contrasubsetT ) = 818.03/105.95 ( ![X4:$i,X6:$i]: 818.03/105.95 ( ( in @ X6 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X8:$i]: 818.03/105.95 ( ( in @ X8 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X10:$i]: 818.03/105.95 ( ( in @ X10 @ X4 ) => 818.03/105.95 ( ( subset @ X6 @ ( setminus @ X4 @ X8 ) ) => 818.03/105.95 ( ( in @ X10 @ X8 ) => ( ~( in @ X10 @ X6 ) ) ) ) ) ) ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(complementTE1, axiom, complementTE1 = 818.03/105.95 (![A:$i,X:$i]: 818.03/105.95 ( ( in @ X @ ( powerset @ A ) ) => 818.03/105.95 ( ![Xx:$i]: 818.03/105.95 ( ( in @ Xx @ A ) => 818.03/105.95 ( ( ~( in @ Xx @ ( setminus @ A @ X ) ) ) => ( in @ Xx @ X ) ) ) ) ))). 818.03/105.95 thf('18', plain, 818.03/105.95 (( complementTE1 ) = 818.03/105.95 ( ![X4:$i,X6:$i]: 818.03/105.95 ( ( in @ X6 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X8:$i]: 818.03/105.95 ( ( in @ X8 @ X4 ) => 818.03/105.95 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => ( in @ X8 @ X6 ) ) ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(complementTI1, axiom, complementTI1 = 818.03/105.95 (![A:$i,X:$i]: 818.03/105.95 ( ( in @ X @ ( powerset @ A ) ) => 818.03/105.95 ( ![Xx:$i]: 818.03/105.95 ( ( in @ Xx @ A ) => 818.03/105.95 ( ( in @ Xx @ X ) => ( ~( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ))). 818.03/105.95 thf('19', plain, 818.03/105.95 (( complementTI1 ) = 818.03/105.95 ( ![X4:$i,X6:$i]: 818.03/105.95 ( ( in @ X6 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X8:$i]: 818.03/105.95 ( ( in @ X8 @ X4 ) => 818.03/105.95 ( ( in @ X8 @ X6 ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(powersetTE1, axiom, powersetTE1 = 818.03/105.95 (![A:$i,X:$i]: 818.03/105.95 ( ( in @ X @ ( powerset @ A ) ) => 818.03/105.95 ( ![Y:$i]: 818.03/105.95 ( ( in @ Y @ ( powerset @ A ) ) => 818.03/105.95 ( ![Xx:$i]: 818.03/105.95 ( ( in @ Xx @ A ) => 818.03/105.95 ( ( in @ X @ ( powerset @ Y ) ) => 818.03/105.95 ( ( in @ Xx @ X ) => ( in @ Xx @ Y ) ) ) ) ) ) ) ))). 818.03/105.95 thf('20', plain, 818.03/105.95 (( powersetTE1 ) = 818.03/105.95 ( ![X4:$i,X6:$i]: 818.03/105.95 ( ( in @ X6 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X8:$i]: 818.03/105.95 ( ( in @ X8 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X10:$i]: 818.03/105.95 ( ( in @ X10 @ X4 ) => 818.03/105.95 ( ( in @ X6 @ ( powerset @ X8 ) ) => 818.03/105.95 ( ( in @ X10 @ X6 ) => ( in @ X10 @ X8 ) ) ) ) ) ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(powersetTI1, axiom, powersetTI1 = 818.03/105.95 (![A:$i,X:$i]: 818.03/105.95 ( ( in @ X @ ( powerset @ A ) ) => 818.03/105.95 ( ![Y:$i]: 818.03/105.95 ( ( in @ Y @ ( powerset @ A ) ) => 818.03/105.95 ( ( ![Xx:$i]: 818.03/105.95 ( ( in @ Xx @ A ) => ( ( in @ Xx @ X ) => ( in @ Xx @ Y ) ) ) ) => 818.03/105.95 ( in @ X @ ( powerset @ Y ) ) ) ) ) ))). 818.03/105.95 thf('21', plain, 818.03/105.95 (( powersetTI1 ) = 818.03/105.95 ( ![X4:$i,X6:$i]: 818.03/105.95 ( ( in @ X6 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X8:$i]: 818.03/105.95 ( ( in @ X8 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ( ![X10:$i]: 818.03/105.95 ( ( in @ X10 @ X4 ) => 818.03/105.95 ( ( in @ X10 @ X6 ) => ( in @ X10 @ X8 ) ) ) ) => 818.03/105.95 ( in @ X6 @ ( powerset @ X8 ) ) ) ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(subsetTI, axiom, subsetTI = 818.03/105.95 (![A:$i,X:$i]: 818.03/105.95 ( ( in @ X @ ( powerset @ A ) ) => 818.03/105.95 ( ![Y:$i]: 818.03/105.95 ( ( in @ Y @ ( powerset @ A ) ) => 818.03/105.95 ( ( ![Xx:$i]: 818.03/105.95 ( ( in @ Xx @ A ) => ( ( in @ Xx @ X ) => ( in @ Xx @ Y ) ) ) ) => 818.03/105.95 ( subset @ X @ Y ) ) ) ) ))). 818.03/105.95 thf('22', plain, 818.03/105.95 (( subsetTI ) = 818.03/105.95 ( ![X4:$i,X6:$i]: 818.03/105.95 ( ( in @ X6 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X8:$i]: 818.03/105.95 ( ( in @ X8 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ( ![X10:$i]: 818.03/105.95 ( ( in @ X10 @ X4 ) => 818.03/105.95 ( ( in @ X10 @ X6 ) => ( in @ X10 @ X8 ) ) ) ) => 818.03/105.95 ( subset @ X6 @ X8 ) ) ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(setextT, axiom, setextT = 818.03/105.95 (![A:$i,X:$i]: 818.03/105.95 ( ( in @ X @ ( powerset @ A ) ) => 818.03/105.95 ( ![Y:$i]: 818.03/105.95 ( ( in @ Y @ ( powerset @ A ) ) => 818.03/105.95 ( ( ![Xx:$i]: 818.03/105.95 ( ( in @ Xx @ A ) => ( ( in @ Xx @ X ) => ( in @ Xx @ Y ) ) ) ) => 818.03/105.95 ( ( ![Xx:$i]: 818.03/105.95 ( ( in @ Xx @ A ) => ( ( in @ Xx @ Y ) => ( in @ Xx @ X ) ) ) ) => 818.03/105.95 ( ( X ) = ( Y ) ) ) ) ) ) ))). 818.03/105.95 thf('23', plain, 818.03/105.95 (( setextT ) = 818.03/105.95 ( ![X4:$i,X6:$i]: 818.03/105.95 ( ( in @ X6 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X8:$i]: 818.03/105.95 ( ( in @ X8 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ( ![X10:$i]: 818.03/105.95 ( ( in @ X10 @ X4 ) => 818.03/105.95 ( ( in @ X10 @ X6 ) => ( in @ X10 @ X8 ) ) ) ) => 818.03/105.95 ( ( ![X12:$i]: 818.03/105.95 ( ( in @ X12 @ X4 ) => 818.03/105.95 ( ( in @ X12 @ X8 ) => ( in @ X12 @ X6 ) ) ) ) => 818.03/105.95 ( ( X6 ) = ( X8 ) ) ) ) ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(complementT_lem, axiom, complementT_lem = 818.03/105.95 (![A:$i,X:$i]: 818.03/105.95 ( ( in @ X @ ( powerset @ A ) ) => 818.03/105.95 ( in @ ( setminus @ A @ X ) @ ( powerset @ A ) ) ))). 818.03/105.95 thf('24', plain, 818.03/105.95 (( complementT_lem ) = 818.03/105.95 ( ![X4:$i,X6:$i]: 818.03/105.95 ( ( in @ X6 @ ( powerset @ X4 ) ) => 818.03/105.95 ( in @ ( setminus @ X4 @ X6 ) @ ( powerset @ X4 ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(setminusT_lem, axiom, setminusT_lem = 818.03/105.95 (![A:$i,X:$i]: 818.03/105.95 ( ( in @ X @ ( powerset @ A ) ) => 818.03/105.95 ( ![Y:$i]: 818.03/105.95 ( ( in @ Y @ ( powerset @ A ) ) => 818.03/105.95 ( in @ ( setminus @ X @ Y ) @ ( powerset @ A ) ) ) ) ))). 818.03/105.95 thf('25', plain, 818.03/105.95 (( setminusT_lem ) = 818.03/105.95 ( ![X4:$i,X6:$i]: 818.03/105.95 ( ( in @ X6 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X8:$i]: 818.03/105.95 ( ( in @ X8 @ ( powerset @ X4 ) ) => 818.03/105.95 ( in @ ( setminus @ X6 @ X8 ) @ ( powerset @ X4 ) ) ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(powersetT_lem, axiom, powersetT_lem = 818.03/105.95 (![A:$i,X:$i]: 818.03/105.95 ( ( in @ X @ ( powerset @ A ) ) => 818.03/105.95 ( in @ ( powerset @ X ) @ ( powerset @ ( powerset @ A ) ) ) ))). 818.03/105.95 thf('26', plain, 818.03/105.95 (( powersetT_lem ) = 818.03/105.95 ( ![X4:$i,X6:$i]: 818.03/105.95 ( ( in @ X6 @ ( powerset @ X4 ) ) => 818.03/105.95 ( in @ ( powerset @ X6 ) @ ( powerset @ ( powerset @ X4 ) ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(binunionT_lem, axiom, binunionT_lem = 818.03/105.95 (![A:$i,X:$i]: 818.03/105.95 ( ( in @ X @ ( powerset @ A ) ) => 818.03/105.95 ( ![Y:$i]: 818.03/105.95 ( ( in @ Y @ ( powerset @ A ) ) => 818.03/105.95 ( in @ ( binunion @ X @ Y ) @ ( powerset @ A ) ) ) ) ))). 818.03/105.95 thf('27', plain, 818.03/105.95 (( binunionT_lem ) = 818.03/105.95 ( ![X4:$i,X6:$i]: 818.03/105.95 ( ( in @ X6 @ ( powerset @ X4 ) ) => 818.03/105.95 ( ![X8:$i]: 818.03/105.95 ( ( in @ X8 @ ( powerset @ X4 ) ) => 818.03/105.95 ( in @ ( binunion @ X6 @ X8 ) @ ( powerset @ X4 ) ) ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(cartprodmempaircEq, axiom, cartprodmempaircEq = 818.03/105.95 (![A:$i,B:$i,Xx:$i]: 818.03/105.95 ( ( in @ Xx @ A ) => 818.03/105.95 ( ![Xy:$i]: 818.03/105.95 ( ( in @ Xy @ B ) => ( ( kpair @ Xx @ Xy ) = ( kpair @ Xx @ Xy ) ) ) ) ))). 818.03/105.95 thf('28', plain, 818.03/105.95 (( cartprodmempaircEq ) = 818.03/105.95 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.95 ( ( in @ X8 @ X4 ) => 818.03/105.95 ( ![X10:$i]: 818.03/105.95 ( ( in @ X10 @ X6 ) => 818.03/105.95 ( ( kpair @ X8 @ X10 ) = ( kpair @ X8 @ X10 ) ) ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(setukpairinjR, axiom, setukpairinjR = 818.03/105.95 (![Xx:$i,Xy:$i,Xz:$i,Xu:$i]: 818.03/105.95 ( ( ( kpair @ Xx @ Xy ) = ( kpair @ Xz @ Xu ) ) => ( ( Xy ) = ( Xu ) ) ))). 818.03/105.95 thf('29', plain, 818.03/105.95 (( setukpairinjR ) = 818.03/105.95 ( ![X4:$i,X6:$i,X8:$i,X10:$i]: 818.03/105.95 ( ( ( kpair @ X4 @ X6 ) = ( kpair @ X8 @ X10 ) ) => 818.03/105.95 ( ( X6 ) = ( X10 ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(setukpairinjR2, axiom, setukpairinjR2 = 818.03/105.95 (![Xx:$i,Xy:$i,Xz:$i,Xu:$i]: 818.03/105.95 ( ( ( setadjoin @ 818.03/105.95 ( setadjoin @ Xx @ emptyset ) @ 818.03/105.95 ( setadjoin @ 818.03/105.95 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) = 818.03/105.95 ( setadjoin @ 818.03/105.95 ( setadjoin @ Xz @ emptyset ) @ 818.03/105.95 ( setadjoin @ 818.03/105.95 ( setadjoin @ Xz @ ( setadjoin @ Xu @ emptyset ) ) @ emptyset ) ) ) => 818.03/105.95 ( ( Xy ) = ( Xu ) ) ))). 818.03/105.95 thf('30', plain, 818.03/105.95 (( setukpairinjR2 ) = 818.03/105.95 ( ![X4:$i,X6:$i,X8:$i,X10:$i]: 818.03/105.95 ( ( ( setadjoin @ 818.03/105.95 ( setadjoin @ X4 @ emptyset ) @ 818.03/105.95 ( setadjoin @ 818.03/105.95 ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) = 818.03/105.95 ( setadjoin @ 818.03/105.95 ( setadjoin @ X8 @ emptyset ) @ 818.03/105.95 ( setadjoin @ 818.03/105.95 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) ) ) => 818.03/105.95 ( ( X6 ) = ( X10 ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(upairequniteq, axiom, upairequniteq = 818.03/105.95 (![Xx:$i,Xy:$i,Xz:$i]: 818.03/105.95 ( ( ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) = 818.03/105.95 ( setadjoin @ Xz @ emptyset ) ) => 818.03/105.95 ( ( Xx ) = ( Xy ) ) ))). 818.03/105.95 thf('31', plain, 818.03/105.95 (( upairequniteq ) = 818.03/105.95 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.95 ( ( ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) = 818.03/105.95 ( setadjoin @ X8 @ emptyset ) ) => 818.03/105.95 ( ( X4 ) = ( X6 ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(setukpairinjR1, axiom, setukpairinjR1 = 818.03/105.95 (![Xx:$i,Xy:$i,Xz:$i,Xu:$i]: 818.03/105.95 ( ( ( setadjoin @ 818.03/105.95 ( setadjoin @ Xx @ emptyset ) @ 818.03/105.95 ( setadjoin @ 818.03/105.95 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) = 818.03/105.95 ( setadjoin @ 818.03/105.95 ( setadjoin @ Xz @ emptyset ) @ 818.03/105.95 ( setadjoin @ 818.03/105.95 ( setadjoin @ Xz @ ( setadjoin @ Xu @ emptyset ) ) @ emptyset ) ) ) => 818.03/105.95 ( ( ( Xz ) = ( Xu ) ) => ( ( Xy ) = ( Xu ) ) ) ))). 818.03/105.95 thf('32', plain, 818.03/105.95 (( setukpairinjR1 ) = 818.03/105.95 ( ![X4:$i,X6:$i,X8:$i,X10:$i]: 818.03/105.95 ( ( ( setadjoin @ 818.03/105.95 ( setadjoin @ X4 @ emptyset ) @ 818.03/105.95 ( setadjoin @ 818.03/105.95 ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) = 818.03/105.95 ( setadjoin @ 818.03/105.95 ( setadjoin @ X8 @ emptyset ) @ 818.03/105.95 ( setadjoin @ 818.03/105.95 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) ) ) => 818.03/105.95 ( ( ( X8 ) = ( X10 ) ) => ( ( X6 ) = ( X10 ) ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(setukpairinjR12, axiom, setukpairinjR12 = 818.03/105.95 (![Xx:$i,Xy:$i]: 818.03/105.95 ( ( ( Xx ) = ( Xy ) ) => 818.03/105.95 ( ( setadjoin @ 818.03/105.95 ( setadjoin @ Xx @ emptyset ) @ 818.03/105.95 ( setadjoin @ 818.03/105.95 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) = 818.03/105.95 ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ emptyset ) ) ))). 818.03/105.95 thf('33', plain, 818.03/105.95 (( setukpairinjR12 ) = 818.03/105.95 ( ![X4:$i,X6:$i]: 818.03/105.95 ( ( ( X4 ) = ( X6 ) ) => 818.03/105.95 ( ( setadjoin @ 818.03/105.95 ( setadjoin @ X4 @ emptyset ) @ 818.03/105.95 ( setadjoin @ 818.03/105.95 ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) = 818.03/105.95 ( setadjoin @ ( setadjoin @ X4 @ emptyset ) @ emptyset ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(setukpairinjR11, axiom, setukpairinjR11 = 818.03/105.95 (![Xx:$i,Xy:$i]: 818.03/105.95 ( ( ( Xx ) = ( Xy ) ) => 818.03/105.95 ( ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) = 818.03/105.95 ( setadjoin @ Xx @ emptyset ) ) ))). 818.03/105.95 thf('34', plain, 818.03/105.95 (( setukpairinjR11 ) = 818.03/105.95 ( ![X4:$i,X6:$i]: 818.03/105.95 ( ( ( X4 ) = ( X6 ) ) => 818.03/105.95 ( ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) = 818.03/105.95 ( setadjoin @ X4 @ emptyset ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(setukpairinjL, axiom, setukpairinjL = 818.03/105.95 (![Xx:$i,Xy:$i,Xz:$i,Xu:$i]: 818.03/105.95 ( ( ( kpair @ Xx @ Xy ) = ( kpair @ Xz @ Xu ) ) => ( ( Xx ) = ( Xz ) ) ))). 818.03/105.95 thf('35', plain, 818.03/105.95 (( setukpairinjL ) = 818.03/105.95 ( ![X4:$i,X6:$i,X8:$i,X10:$i]: 818.03/105.95 ( ( ( kpair @ X4 @ X6 ) = ( kpair @ X8 @ X10 ) ) => 818.03/105.95 ( ( X4 ) = ( X8 ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(setukpairinjL2, axiom, setukpairinjL2 = 818.03/105.95 (![Xx:$i,Xy:$i,Xz:$i,Xu:$i]: 818.03/105.95 ( ( ( setadjoin @ 818.03/105.95 ( setadjoin @ Xx @ emptyset ) @ 818.03/105.95 ( setadjoin @ 818.03/105.95 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) = 818.03/105.95 ( setadjoin @ 818.03/105.95 ( setadjoin @ Xz @ emptyset ) @ 818.03/105.95 ( setadjoin @ 818.03/105.95 ( setadjoin @ Xz @ ( setadjoin @ Xu @ emptyset ) ) @ emptyset ) ) ) => 818.03/105.95 ( ( Xx ) = ( Xz ) ) ))). 818.03/105.95 thf('36', plain, 818.03/105.95 (( setukpairinjL2 ) = 818.03/105.95 ( ![X4:$i,X6:$i,X8:$i,X10:$i]: 818.03/105.95 ( ( ( setadjoin @ 818.03/105.95 ( setadjoin @ X4 @ emptyset ) @ 818.03/105.95 ( setadjoin @ 818.03/105.95 ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) = 818.03/105.95 ( setadjoin @ 818.03/105.95 ( setadjoin @ X8 @ emptyset ) @ 818.03/105.95 ( setadjoin @ 818.03/105.95 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) ) ) => 818.03/105.95 ( ( X4 ) = ( X8 ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(setukpairinjL1, axiom, setukpairinjL1 = 818.03/105.95 (![Xx:$i,Xy:$i,Xz:$i]: 818.03/105.95 ( ( in @ 818.03/105.95 ( setadjoin @ Xz @ emptyset ) @ 818.03/105.95 ( setadjoin @ 818.03/105.95 ( setadjoin @ Xx @ emptyset ) @ 818.03/105.95 ( setadjoin @ 818.03/105.95 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) => 818.03/105.95 ( ( Xx ) = ( Xz ) ) ))). 818.03/105.95 thf('37', plain, 818.03/105.95 (( setukpairinjL1 ) = 818.03/105.95 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.95 ( ( in @ 818.03/105.95 ( setadjoin @ X8 @ emptyset ) @ 818.03/105.95 ( setadjoin @ 818.03/105.95 ( setadjoin @ X4 @ emptyset ) @ 818.03/105.95 ( setadjoin @ 818.03/105.95 ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) ) => 818.03/105.95 ( ( X4 ) = ( X8 ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(singletonsuniq, axiom, singletonsuniq = 818.03/105.95 (![Xx:$i,Xy:$i]: 818.03/105.95 ( ( ( setadjoin @ Xx @ emptyset ) = ( setadjoin @ Xy @ emptyset ) ) => 818.03/105.95 ( ( Xx ) = ( Xy ) ) ))). 818.03/105.95 thf('38', plain, 818.03/105.95 (( singletonsuniq ) = 818.03/105.95 ( ![X4:$i,X6:$i]: 818.03/105.95 ( ( ( setadjoin @ X4 @ emptyset ) = ( setadjoin @ X6 @ emptyset ) ) => 818.03/105.95 ( ( X4 ) = ( X6 ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(ubforcartprodlem3, axiom, ubforcartprodlem3 = 818.03/105.95 (![A:$i,B:$i,Xx:$i]: 818.03/105.95 ( ( in @ Xx @ A ) => 818.03/105.95 ( ![Xy:$i]: 818.03/105.95 ( ( in @ Xy @ B ) => 818.03/105.95 ( in @ 818.03/105.95 ( kpair @ Xx @ Xy ) @ 818.03/105.95 ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ))). 818.03/105.95 thf('39', plain, 818.03/105.95 (( ubforcartprodlem3 ) = 818.03/105.95 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.95 ( ( in @ X8 @ X4 ) => 818.03/105.95 ( ![X10:$i]: 818.03/105.95 ( ( in @ X10 @ X6 ) => 818.03/105.95 ( in @ 818.03/105.95 ( kpair @ X8 @ X10 ) @ 818.03/105.95 ( powerset @ ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(ubforcartprodlem2, axiom, ubforcartprodlem2 = 818.03/105.95 (![A:$i,B:$i,Xx:$i]: 818.03/105.95 ( ( in @ Xx @ A ) => 818.03/105.95 ( ![Xy:$i]: 818.03/105.95 ( ( in @ Xy @ B ) => 818.03/105.95 ( in @ 818.03/105.95 ( setadjoin @ 818.03/105.95 ( setadjoin @ Xx @ emptyset ) @ 818.03/105.95 ( setadjoin @ 818.03/105.95 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) @ 818.03/105.95 ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ))). 818.03/105.95 thf('40', plain, 818.03/105.95 (( ubforcartprodlem2 ) = 818.03/105.95 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.95 ( ( in @ X8 @ X4 ) => 818.03/105.95 ( ![X10:$i]: 818.03/105.95 ( ( in @ X10 @ X6 ) => 818.03/105.95 ( in @ 818.03/105.95 ( setadjoin @ 818.03/105.95 ( setadjoin @ X8 @ emptyset ) @ 818.03/105.95 ( setadjoin @ 818.03/105.95 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 818.03/105.95 emptyset ) ) @ 818.03/105.95 ( powerset @ ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) ) )), 818.03/105.95 define([status(thm)])). 818.03/105.95 thf(ubforcartprodlem1, axiom, ubforcartprodlem1 = 818.03/105.95 (![A:$i,B:$i,Xx:$i]: 818.03/105.95 ( ( in @ Xx @ A ) => 818.03/105.95 ( ![Xy:$i]: 818.03/105.95 ( ( in @ Xy @ B ) => 818.03/105.95 ( subset @ 818.03/105.95 ( setadjoin @ 818.03/105.95 ( setadjoin @ Xx @ emptyset ) @ 818.03/105.96 ( setadjoin @ 818.03/105.96 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) @ 818.03/105.96 ( powerset @ ( binunion @ A @ B ) ) ) ) ) ))). 818.03/105.96 thf('41', plain, 818.03/105.96 (( ubforcartprodlem1 ) = 818.03/105.96 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.96 ( ( in @ X8 @ X4 ) => 818.03/105.96 ( ![X10:$i]: 818.03/105.96 ( ( in @ X10 @ X6 ) => 818.03/105.96 ( subset @ 818.03/105.96 ( setadjoin @ 818.03/105.96 ( setadjoin @ X8 @ emptyset ) @ 818.03/105.96 ( setadjoin @ 818.03/105.96 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 818.03/105.96 emptyset ) ) @ 818.03/105.96 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(upairinpowunion, axiom, upairinpowunion = 818.03/105.96 (![A:$i,B:$i,Xx:$i]: 818.03/105.96 ( ( in @ Xx @ A ) => 818.03/105.96 ( ![Xy:$i]: 818.03/105.96 ( ( in @ Xy @ B ) => 818.03/105.96 ( in @ 818.03/105.96 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ 818.03/105.96 ( powerset @ ( binunion @ A @ B ) ) ) ) ) ))). 818.03/105.96 thf('42', plain, 818.03/105.96 (( upairinpowunion ) = 818.03/105.96 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.96 ( ( in @ X8 @ X4 ) => 818.03/105.96 ( ![X10:$i]: 818.03/105.96 ( ( in @ X10 @ X6 ) => 818.03/105.96 ( in @ 818.03/105.96 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 818.03/105.96 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(upairsubunion, axiom, upairsubunion = 818.03/105.96 (![A:$i,B:$i,Xx:$i]: 818.03/105.96 ( ( in @ Xx @ A ) => 818.03/105.96 ( ![Xy:$i]: 818.03/105.96 ( ( in @ Xy @ B ) => 818.03/105.96 ( subset @ 818.03/105.96 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ 818.03/105.96 ( binunion @ A @ B ) ) ) ) ))). 818.03/105.96 thf('43', plain, 818.03/105.96 (( upairsubunion ) = 818.03/105.96 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.96 ( ( in @ X8 @ X4 ) => 818.03/105.96 ( ![X10:$i]: 818.03/105.96 ( ( in @ X10 @ X6 ) => 818.03/105.96 ( subset @ 818.03/105.96 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 818.03/105.96 ( binunion @ X4 @ X6 ) ) ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(upairset2E, axiom, upairset2E = 818.03/105.96 (![Xx:$i,Xy:$i,Xz:$i]: 818.03/105.96 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) => 818.03/105.96 ( ( ( Xz ) = ( Xx ) ) | ( ( Xz ) = ( Xy ) ) ) ))). 818.03/105.96 thf('44', plain, 818.03/105.96 (( upairset2E ) = 818.03/105.96 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.96 ( ( in @ X8 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) => 818.03/105.96 ( ( ( X8 ) = ( X4 ) ) | ( ( X8 ) = ( X6 ) ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(singletoninpowunion, axiom, singletoninpowunion = 818.03/105.96 (![A:$i,B:$i,Xx:$i]: 818.03/105.96 ( ( in @ Xx @ A ) => 818.03/105.96 ( in @ 818.03/105.96 ( setadjoin @ Xx @ emptyset ) @ ( powerset @ ( binunion @ A @ B ) ) ) ))). 818.03/105.96 thf('45', plain, 818.03/105.96 (( singletoninpowunion ) = 818.03/105.96 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.96 ( ( in @ X8 @ X4 ) => 818.03/105.96 ( in @ 818.03/105.96 ( setadjoin @ X8 @ emptyset ) @ 818.03/105.96 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(singletoninpowerset, axiom, singletoninpowerset = 818.03/105.96 (![A:$i,Xx:$i]: 818.03/105.96 ( ( in @ Xx @ A ) => 818.03/105.96 ( in @ ( setadjoin @ Xx @ emptyset ) @ ( powerset @ A ) ) ))). 818.03/105.96 thf('46', plain, 818.03/105.96 (( singletoninpowerset ) = 818.03/105.96 ( ![X4:$i,X6:$i]: 818.03/105.96 ( ( in @ X6 @ X4 ) => 818.03/105.96 ( in @ ( setadjoin @ X6 @ emptyset ) @ ( powerset @ X4 ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(singletonsubset, axiom, singletonsubset = 818.03/105.96 (![A:$i,Xx:$i]: 818.03/105.96 ( ( in @ Xx @ A ) => ( subset @ ( setadjoin @ Xx @ emptyset ) @ A ) ))). 818.03/105.96 thf('47', plain, 818.03/105.96 (( singletonsubset ) = 818.03/105.96 ( ![X4:$i,X6:$i]: 818.03/105.96 ( ( in @ X6 @ X4 ) => ( subset @ ( setadjoin @ X6 @ emptyset ) @ X4 ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(secondinupair, axiom, secondinupair = 818.03/105.96 (![Xx:$i,Xy:$i]: 818.03/105.96 ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 818.03/105.96 thf('48', plain, 818.03/105.96 (( secondinupair ) = 818.03/105.96 ( ![X4:$i,X6:$i]: 818.03/105.96 ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(setminusSubset1, axiom, setminusSubset1 = 818.03/105.96 (![A:$i,B:$i]: 818.03/105.96 ( ( ( setminus @ A @ B ) = ( emptyset ) ) => ( subset @ A @ B ) ))). 818.03/105.96 thf('49', plain, 818.03/105.96 (( setminusSubset1 ) = 818.03/105.96 ( ![X4:$i,X6:$i]: 818.03/105.96 ( ( ( setminus @ X4 @ X6 ) = ( emptyset ) ) => ( subset @ X4 @ X6 ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(setminusLsub, axiom, setminusLsub = 818.03/105.96 (![A:$i,B:$i]: ( subset @ ( setminus @ A @ B ) @ A ))). 818.03/105.96 thf('50', plain, 818.03/105.96 (( setminusLsub ) = 818.03/105.96 ( ![X4:$i,X6:$i]: ( subset @ ( setminus @ X4 @ X6 ) @ X4 ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(setminusIRneg, axiom, setminusIRneg = 818.03/105.96 (![A:$i,B:$i,Xx:$i]: 818.03/105.96 ( ( in @ Xx @ B ) => ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 818.03/105.96 thf('51', plain, 818.03/105.96 (( setminusIRneg ) = 818.03/105.96 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.96 ( ( in @ X8 @ X6 ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(setminusILneg, axiom, setminusILneg = 818.03/105.96 (![A:$i,B:$i,Xx:$i]: 818.03/105.96 ( ( ~( in @ Xx @ A ) ) => ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 818.03/105.96 thf('52', plain, 818.03/105.96 (( setminusILneg ) = 818.03/105.96 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.96 ( ( ~( in @ X8 @ X4 ) ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(setminusELneg, axiom, setminusELneg = 818.03/105.96 (![A:$i,B:$i,Xx:$i]: 818.03/105.96 ( ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) => 818.03/105.96 ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))). 818.03/105.96 thf('53', plain, 818.03/105.96 (( setminusELneg ) = 818.03/105.96 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.96 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => 818.03/105.96 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(setminusERneg, axiom, setminusERneg = 818.03/105.96 (![A:$i,B:$i,Xx:$i]: 818.03/105.96 ( ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) => 818.03/105.96 ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))). 818.03/105.96 thf('54', plain, 818.03/105.96 (( setminusERneg ) = 818.03/105.96 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.96 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => 818.03/105.96 ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(setminusSubset2, axiom, setminusSubset2 = 818.03/105.96 (![A:$i,B:$i]: 818.03/105.96 ( ( subset @ A @ B ) => ( ( setminus @ A @ B ) = ( emptyset ) ) ))). 818.03/105.96 thf('55', plain, 818.03/105.96 (( setminusSubset2 ) = 818.03/105.96 ( ![X4:$i,X6:$i]: 818.03/105.96 ( ( subset @ X4 @ X6 ) => ( ( setminus @ X4 @ X6 ) = ( emptyset ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(setminusER, axiom, setminusER = 818.03/105.96 (![A:$i,B:$i,Xx:$i]: 818.03/105.96 ( ( in @ Xx @ ( setminus @ A @ B ) ) => ( ~( in @ Xx @ B ) ) ))). 818.03/105.96 thf('56', plain, 818.03/105.96 (( setminusER ) = 818.03/105.96 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.96 ( ( in @ X8 @ ( setminus @ X4 @ X6 ) ) => ( ~( in @ X8 @ X6 ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(setminusEL, axiom, setminusEL = 818.03/105.96 (![A:$i,B:$i,Xx:$i]: 818.03/105.96 ( ( in @ Xx @ ( setminus @ A @ B ) ) => ( in @ Xx @ A ) ))). 818.03/105.96 thf('57', plain, 818.03/105.96 (( setminusEL ) = 818.03/105.96 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.96 ( ( in @ X8 @ ( setminus @ X4 @ X6 ) ) => ( in @ X8 @ X4 ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(setminusI, axiom, setminusI = 818.03/105.96 (![A:$i,B:$i,Xx:$i]: 818.03/105.96 ( ( in @ Xx @ A ) => 818.03/105.96 ( ( ~( in @ Xx @ B ) ) => ( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 818.03/105.96 thf('58', plain, 818.03/105.96 (( setminusI ) = 818.03/105.96 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.96 ( ( in @ X8 @ X4 ) => 818.03/105.96 ( ( ~( in @ X8 @ X6 ) ) => ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(binunionRsub, axiom, binunionRsub = 818.03/105.96 (![A:$i,B:$i]: ( subset @ B @ ( binunion @ A @ B ) ))). 818.03/105.96 thf('59', plain, 818.03/105.96 (( binunionRsub ) = 818.03/105.96 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( binunion @ X4 @ X6 ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(binunionLsub, axiom, binunionLsub = 818.03/105.96 (![A:$i,B:$i]: ( subset @ A @ ( binunion @ A @ B ) ))). 818.03/105.96 thf('60', plain, 818.03/105.96 (( binunionLsub ) = 818.03/105.96 ( ![X4:$i,X6:$i]: ( subset @ X4 @ ( binunion @ X4 @ X6 ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(binunionE, axiom, binunionE = 818.03/105.96 (![A:$i,B:$i,Xx:$i]: 818.03/105.96 ( ( in @ Xx @ ( binunion @ A @ B ) ) => 818.03/105.96 ( ( in @ Xx @ A ) | ( in @ Xx @ B ) ) ))). 818.03/105.96 thf('61', plain, 818.03/105.96 (( binunionE ) = 818.03/105.96 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.96 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) => 818.03/105.96 ( ( in @ X8 @ X4 ) | ( in @ X8 @ X6 ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(binunionEcases, axiom, binunionEcases = 818.03/105.96 (![A:$i,B:$i,Xx:$i,Xphi:$o]: 818.03/105.96 ( ( in @ Xx @ ( binunion @ A @ B ) ) => 818.03/105.96 ( ( ( in @ Xx @ A ) => ( Xphi ) ) => 818.03/105.96 ( ( ( in @ Xx @ B ) => ( Xphi ) ) => ( Xphi ) ) ) ))). 818.03/105.96 thf('62', plain, 818.03/105.96 (( binunionEcases ) = 818.03/105.96 ( ![X4:$i,X6:$i,X8:$i,X10:$o]: 818.03/105.96 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) => 818.03/105.96 ( ( ( in @ X8 @ X4 ) => ( X10 ) ) => 818.03/105.96 ( ( ( in @ X8 @ X6 ) => ( X10 ) ) => ( X10 ) ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(binunionIR, axiom, binunionIR = 818.03/105.96 (![A:$i,B:$i,Xx:$i]: 818.03/105.96 ( ( in @ Xx @ B ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))). 818.03/105.96 thf('63', plain, 818.03/105.96 (( binunionIR ) = 818.03/105.96 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.96 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(upairset2IR, axiom, upairset2IR = 818.03/105.96 (![Xx:$i,Xy:$i]: 818.03/105.96 ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 818.03/105.96 thf('64', plain, 818.03/105.96 (( upairset2IR ) = 818.03/105.96 ( ![X4:$i,X6:$i]: 818.03/105.96 ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(binunionIL, axiom, binunionIL = 818.03/105.96 (![A:$i,B:$i,Xx:$i]: 818.03/105.96 ( ( in @ Xx @ A ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))). 818.03/105.96 thf('65', plain, 818.03/105.96 (( binunionIL ) = 818.03/105.96 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.96 ( ( in @ X8 @ X4 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(powersetsubset, axiom, powersetsubset = 818.03/105.96 (![A:$i,B:$i]: 818.03/105.96 ( ( subset @ A @ B ) => ( subset @ ( powerset @ A ) @ ( powerset @ B ) ) ))). 818.03/105.96 thf('66', plain, 818.03/105.96 (( powersetsubset ) = 818.03/105.96 ( ![X4:$i,X6:$i]: 818.03/105.96 ( ( subset @ X4 @ X6 ) => 818.03/105.96 ( subset @ ( powerset @ X4 ) @ ( powerset @ X6 ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(inPowerset, axiom, inPowerset = (![A:$i]: ( in @ A @ ( powerset @ A ) ))). 818.03/105.96 thf('67', plain, 818.03/105.96 (( inPowerset ) = ( ![X4:$i]: ( in @ X4 @ ( powerset @ X4 ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(powersetE1, axiom, powersetE1 = 818.03/105.96 (![A:$i,B:$i]: ( ( in @ B @ ( powerset @ A ) ) => ( subset @ B @ A ) ))). 818.03/105.96 thf('68', plain, 818.03/105.96 (( powersetE1 ) = 818.03/105.96 ( ![X4:$i,X6:$i]: 818.03/105.96 ( ( in @ X6 @ ( powerset @ X4 ) ) => ( subset @ X6 @ X4 ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(powersetI1, axiom, powersetI1 = 818.03/105.96 (![A:$i,B:$i]: ( ( subset @ B @ A ) => ( in @ B @ ( powerset @ A ) ) ))). 818.03/105.96 thf('69', plain, 818.03/105.96 (( powersetI1 ) = 818.03/105.96 ( ![X4:$i,X6:$i]: 818.03/105.96 ( ( subset @ X6 @ X4 ) => ( in @ X6 @ ( powerset @ X4 ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(subsetemptysetimpeq, axiom, subsetemptysetimpeq = 818.03/105.96 (![A:$i]: ( ( subset @ A @ emptyset ) => ( ( A ) = ( emptyset ) ) ))). 818.03/105.96 thf('70', plain, 818.03/105.96 (( subsetemptysetimpeq ) = 818.03/105.96 ( ![X4:$i]: ( ( subset @ X4 @ emptyset ) => ( ( X4 ) = ( emptyset ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(setextsub, axiom, setextsub = 818.03/105.96 (![A:$i,B:$i]: 818.03/105.96 ( ( subset @ A @ B ) => ( ( subset @ B @ A ) => ( ( A ) = ( B ) ) ) ))). 818.03/105.96 thf('71', plain, 818.03/105.96 (( setextsub ) = 818.03/105.96 ( ![X4:$i,X6:$i]: 818.03/105.96 ( ( subset @ X4 @ X6 ) => 818.03/105.96 ( ( subset @ X6 @ X4 ) => ( ( X4 ) = ( X6 ) ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(subset2powerset, axiom, subset2powerset = 818.03/105.96 (![A:$i,B:$i]: ( ( subset @ A @ B ) => ( in @ A @ ( powerset @ B ) ) ))). 818.03/105.96 thf('72', plain, 818.03/105.96 (( subset2powerset ) = 818.03/105.96 ( ![X4:$i,X6:$i]: 818.03/105.96 ( ( subset @ X4 @ X6 ) => ( in @ X4 @ ( powerset @ X6 ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(setadjoinSub2, axiom, setadjoinSub2 = 818.03/105.96 (![A:$i,Xx:$i,B:$i]: 818.03/105.96 ( ( subset @ A @ B ) => ( subset @ A @ ( setadjoin @ Xx @ B ) ) ))). 818.03/105.96 thf('73', plain, 818.03/105.96 (( setadjoinSub2 ) = 818.03/105.96 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.96 ( ( subset @ X4 @ X8 ) => ( subset @ X4 @ ( setadjoin @ X6 @ X8 ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(setadjoinSub, axiom, setadjoinSub = 818.03/105.96 (![Xx:$i,A:$i]: ( subset @ A @ ( setadjoin @ Xx @ A ) ))). 818.03/105.96 thf('74', plain, 818.03/105.96 (( setadjoinSub ) = 818.03/105.96 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( setadjoin @ X4 @ X6 ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(subsetTrans, axiom, subsetTrans = 818.03/105.96 (![A:$i,B:$i,C:$i]: 818.03/105.96 ( ( subset @ A @ B ) => ( ( subset @ B @ C ) => ( subset @ A @ C ) ) ))). 818.03/105.96 thf('75', plain, 818.03/105.96 (( subsetTrans ) = 818.03/105.96 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.96 ( ( subset @ X4 @ X6 ) => 818.03/105.96 ( ( subset @ X6 @ X8 ) => ( subset @ X4 @ X8 ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(subsetRefl, axiom, subsetRefl = (![A:$i]: ( subset @ A @ A ))). 818.03/105.96 thf('76', plain, (( subsetRefl ) = ( ![X4:$i]: ( subset @ X4 @ X4 ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(notequalI2, axiom, notequalI2 = 818.03/105.96 (![A:$i,B:$i,Xx:$i]: 818.03/105.96 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ( A ) != ( B ) ) ) ))). 818.03/105.96 thf('77', plain, 818.03/105.96 (( notequalI2 ) = 818.03/105.96 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.96 ( ( in @ X8 @ X4 ) => 818.03/105.96 ( ( ~( in @ X8 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(notequalI1, axiom, notequalI1 = 818.03/105.96 (![A:$i,B:$i]: ( ( ~( subset @ A @ B ) ) => ( ( A ) != ( B ) ) ))). 818.03/105.96 thf('78', plain, 818.03/105.96 (( notequalI1 ) = 818.03/105.96 ( ![X4:$i,X6:$i]: ( ( ~( subset @ X4 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(notsubsetI, axiom, notsubsetI = 818.03/105.96 (![A:$i,B:$i,Xx:$i]: 818.03/105.96 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ~( subset @ A @ B ) ) ) ))). 818.03/105.96 thf('79', plain, 818.03/105.96 (( notsubsetI ) = 818.03/105.96 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.96 ( ( in @ X8 @ X4 ) => 818.03/105.96 ( ( ~( in @ X8 @ X6 ) ) => ( ~( subset @ X4 @ X6 ) ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(subsetE2, axiom, subsetE2 = 818.03/105.96 (![A:$i,B:$i,Xx:$i]: 818.03/105.96 ( ( subset @ A @ B ) => ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))). 818.03/105.96 thf('80', plain, 818.03/105.96 (( subsetE2 ) = 818.03/105.96 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.96 ( ( subset @ X4 @ X6 ) => 818.03/105.96 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(subsetE, axiom, subsetE = 818.03/105.96 (![A:$i,B:$i,Xx:$i]: 818.03/105.96 ( ( subset @ A @ B ) => ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))). 818.03/105.96 thf('81', plain, 818.03/105.96 (( subsetE ) = 818.03/105.96 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.96 ( ( subset @ X4 @ X6 ) => ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(emptysetsubset, axiom, emptysetsubset = 818.03/105.96 (![A:$i]: ( subset @ emptyset @ A ))). 818.03/105.96 thf('82', plain, 818.03/105.96 (( emptysetsubset ) = ( ![X4:$i]: ( subset @ emptyset @ X4 ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(subsetI2, axiom, subsetI2 = 818.03/105.96 (![A:$i,B:$i]: 818.03/105.96 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 818.03/105.96 ( subset @ A @ B ) ))). 818.03/105.96 thf('83', plain, 818.03/105.96 (( subsetI2 ) = 818.03/105.96 ( ![X4:$i,X6:$i]: 818.03/105.96 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 818.03/105.96 ( subset @ X4 @ X6 ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(eqimpsubset1, axiom, eqimpsubset1 = 818.03/105.96 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ A @ B ) ))). 818.03/105.96 thf('84', plain, 818.03/105.96 (( eqimpsubset1 ) = 818.03/105.96 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X4 @ X6 ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(eqimpsubset2, axiom, eqimpsubset2 = 818.03/105.96 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ B @ A ) ))). 818.03/105.96 thf('85', plain, 818.03/105.96 (( eqimpsubset2 ) = 818.03/105.96 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X6 @ X4 ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(subsetI1, axiom, subsetI1 = 818.03/105.96 (![A:$i,B:$i]: 818.03/105.96 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 818.03/105.96 ( subset @ A @ B ) ))). 818.03/105.96 thf('86', plain, 818.03/105.96 (( subsetI1 ) = 818.03/105.96 ( ![X4:$i,X6:$i]: 818.03/105.96 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 818.03/105.96 ( subset @ X4 @ X6 ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(powerset__Cong, axiom, powerset__Cong = 818.03/105.96 (![A:$i,B:$i]: 818.03/105.96 ( ( ( A ) = ( B ) ) => ( ( powerset @ A ) = ( powerset @ B ) ) ))). 818.03/105.96 thf('87', plain, 818.03/105.96 (( powerset__Cong ) = 818.03/105.96 ( ![X4:$i,X6:$i]: 818.03/105.96 ( ( ( X4 ) = ( X6 ) ) => ( ( powerset @ X4 ) = ( powerset @ X6 ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(setadjoin__Cong, axiom, setadjoin__Cong = 818.03/105.96 (![Xx:$i,Xy:$i]: 818.03/105.96 ( ( ( Xx ) = ( Xy ) ) => 818.03/105.96 ( ![Xz:$i,Xu:$i]: 818.03/105.96 ( ( ( Xz ) = ( Xu ) ) => 818.03/105.96 ( ( setadjoin @ Xx @ Xz ) = ( setadjoin @ Xy @ Xu ) ) ) ) ))). 818.03/105.96 thf('88', plain, 818.03/105.96 (( setadjoin__Cong ) = 818.03/105.96 ( ![X4:$i,X6:$i]: 818.03/105.96 ( ( ( X4 ) = ( X6 ) ) => 818.03/105.96 ( ![X8:$i,X10:$i]: 818.03/105.96 ( ( ( X8 ) = ( X10 ) ) => 818.03/105.96 ( ( setadjoin @ X4 @ X8 ) = ( setadjoin @ X6 @ X10 ) ) ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(emptyset__Cong, axiom, emptyset__Cong = (( emptyset ) = ( emptyset ))). 818.03/105.96 thf('89', plain, (( emptyset__Cong ) = ( ( emptyset ) = ( emptyset ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(in__Cong, axiom, in__Cong = 818.03/105.96 (![A:$i,B:$i]: 818.03/105.96 ( ( ( A ) = ( B ) ) => 818.03/105.96 ( ![Xx:$i,Xy:$i]: 818.03/105.96 ( ( ( Xx ) = ( Xy ) ) => ( ( in @ Xx @ A ) <=> ( in @ Xy @ B ) ) ) ) ))). 818.03/105.96 thf('90', plain, 818.03/105.96 (( in__Cong ) = 818.03/105.96 ( ![X4:$i,X6:$i]: 818.03/105.96 ( ( ( X4 ) = ( X6 ) ) => 818.03/105.96 ( ![X8:$i,X10:$i]: 818.03/105.96 ( ( ( X8 ) = ( X10 ) ) => 818.03/105.96 ( ( in @ X8 @ X4 ) <=> ( in @ X10 @ X6 ) ) ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(inCongP, axiom, inCongP = 818.03/105.96 (![A:$i,B:$i]: 818.03/105.96 ( ( ( A ) = ( B ) ) => 818.03/105.96 ( ![Xx:$i,Xy:$i]: 818.03/105.96 ( ( ( Xx ) = ( Xy ) ) => ( ( in @ Xx @ A ) => ( in @ Xy @ B ) ) ) ) ))). 818.03/105.96 thf('91', plain, 818.03/105.96 (( inCongP ) = 818.03/105.96 ( ![X4:$i,X6:$i]: 818.03/105.96 ( ( ( X4 ) = ( X6 ) ) => 818.03/105.96 ( ![X8:$i,X10:$i]: 818.03/105.96 ( ( ( X8 ) = ( X10 ) ) => 818.03/105.96 ( ( in @ X8 @ X4 ) => ( in @ X10 @ X6 ) ) ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(notdallE, axiom, notdallE = 818.03/105.96 (![A:$i,Xphi:( $i > $o )]: 818.03/105.96 ( ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) => 818.03/105.96 ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) ))). 818.03/105.96 thf('92', plain, 818.03/105.96 (( notdallE ) = 818.03/105.96 ( ![X4:$i,X6:( $i > $o )]: 818.03/105.96 ( ( ~( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( X6 @ X8 ) ) ) ) => 818.03/105.96 ( ?[X10:$i]: ( ( ~( X6 @ X10 ) ) & ( in @ X10 @ X4 ) ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(notdexE, axiom, notdexE = 818.03/105.96 (![A:$i,Xphi:( $i > $o )]: 818.03/105.96 ( ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) => 818.03/105.96 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) ))). 818.03/105.96 thf('93', plain, 818.03/105.96 (( notdexE ) = 818.03/105.96 ( ![X4:$i,X6:( $i > $o )]: 818.03/105.96 ( ( ~( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) => 818.03/105.96 ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( ~( X6 @ X10 ) ) ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(quantDeMorgan4, axiom, quantDeMorgan4 = 818.03/105.96 (![A:$i,Xphi:( $i > $o )]: 818.03/105.96 ( ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) => 818.03/105.96 ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) ))). 818.03/105.96 thf('94', plain, 818.03/105.96 (( quantDeMorgan4 ) = 818.03/105.96 ( ![X4:$i,X6:( $i > $o )]: 818.03/105.96 ( ( ?[X8:$i]: ( ( ~( X6 @ X8 ) ) & ( in @ X8 @ X4 ) ) ) => 818.03/105.96 ( ~( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( X6 @ X10 ) ) ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(quantDeMorgan3, axiom, quantDeMorgan3 = 818.03/105.96 (![A:$i,Xphi:( $i > $o )]: 818.03/105.96 ( ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) => 818.03/105.96 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) ))). 818.03/105.96 thf('95', plain, 818.03/105.96 (( quantDeMorgan3 ) = 818.03/105.96 ( ![X4:$i,X6:( $i > $o )]: 818.03/105.96 ( ( ~( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) => 818.03/105.96 ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( ~( X6 @ X10 ) ) ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(quantDeMorgan2, axiom, quantDeMorgan2 = 818.03/105.96 (![A:$i,Xphi:( $i > $o )]: 818.03/105.96 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) => 818.03/105.96 ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) ))). 818.03/105.96 thf('96', plain, 818.03/105.96 (( quantDeMorgan2 ) = 818.03/105.96 ( ![X4:$i,X6:( $i > $o )]: 818.03/105.96 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( ~( X6 @ X8 ) ) ) ) => 818.03/105.96 ( ~( ?[X10:$i]: ( ( X6 @ X10 ) & ( in @ X10 @ X4 ) ) ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(quantDeMorgan1, axiom, quantDeMorgan1 = 818.03/105.96 (![A:$i,Xphi:( $i > $o )]: 818.03/105.96 ( ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) => 818.03/105.96 ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) ))). 818.03/105.96 thf('97', plain, 818.03/105.96 (( quantDeMorgan1 ) = 818.03/105.96 ( ![X4:$i,X6:( $i > $o )]: 818.03/105.96 ( ( ~( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( X6 @ X8 ) ) ) ) => 818.03/105.96 ( ?[X10:$i]: ( ( ~( X6 @ X10 ) ) & ( in @ X10 @ X4 ) ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(vacuousDall, axiom, vacuousDall = 818.03/105.96 (![Xphi:( $i > $o ),Xx:$i]: ( ( in @ Xx @ emptyset ) => ( Xphi @ Xx ) ))). 818.03/105.96 thf('98', plain, 818.03/105.96 (( vacuousDall ) = 818.03/105.96 ( ![X4:( $i > $o ),X6:$i]: ( ( in @ X6 @ emptyset ) => ( X4 @ X6 ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(upairsetIR, axiom, upairsetIR = 818.03/105.96 (![Xx:$i,Xy:$i]: 818.03/105.96 ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 818.03/105.96 thf('99', plain, 818.03/105.96 (( upairsetIR ) = 818.03/105.96 ( ![X4:$i,X6:$i]: 818.03/105.96 ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(upairsetIL, axiom, upairsetIL = 818.03/105.96 (![Xx:$i,Xy:$i]: 818.03/105.96 ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 818.03/105.96 thf('100', plain, 818.03/105.96 (( upairsetIL ) = 818.03/105.96 ( ![X4:$i,X6:$i]: 818.03/105.96 ( in @ X4 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(upairsetE, axiom, upairsetE = 818.03/105.96 (![Xx:$i,Xy:$i,Xz:$i]: 818.03/105.96 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) => 818.03/105.96 ( ( ( Xz ) = ( Xx ) ) | ( ( Xz ) = ( Xy ) ) ) ))). 818.03/105.96 thf('101', plain, 818.03/105.96 (( upairsetE ) = 818.03/105.96 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.96 ( ( in @ X8 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) => 818.03/105.96 ( ( ( X8 ) = ( X4 ) ) | ( ( X8 ) = ( X6 ) ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(singletonsswitch, axiom, singletonsswitch = 818.03/105.96 (![Xx:$i,Xy:$i]: 818.03/105.96 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) => 818.03/105.96 ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ))). 818.03/105.96 thf('102', plain, 818.03/105.96 (( singletonsswitch ) = 818.03/105.96 ( ![X4:$i,X6:$i]: 818.03/105.96 ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) => 818.03/105.96 ( in @ X6 @ ( setadjoin @ X4 @ emptyset ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(eqinunit, axiom, eqinunit = 818.03/105.96 (![Xx:$i,Xy:$i]: 818.03/105.96 ( ( ( Xx ) = ( Xy ) ) => ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 818.03/105.96 thf('103', plain, 818.03/105.96 (( eqinunit ) = 818.03/105.96 ( ![X4:$i,X6:$i]: 818.03/105.96 ( ( ( X4 ) = ( X6 ) ) => ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(notinsingleton, axiom, notinsingleton = 818.03/105.96 (![Xx:$i,Xy:$i]: 818.03/105.96 ( ( ( Xx ) != ( Xy ) ) => ( ~( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ))). 818.03/105.96 thf('104', plain, 818.03/105.96 (( notinsingleton ) = 818.03/105.96 ( ![X4:$i,X6:$i]: 818.03/105.96 ( ( ( X4 ) != ( X6 ) ) => 818.03/105.96 ( ~( in @ X6 @ ( setadjoin @ X4 @ emptyset ) ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(uniqinunit, axiom, uniqinunit = 818.03/105.96 (![Xx:$i,Xy:$i]: 818.03/105.96 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) => ( ( Xx ) = ( Xy ) ) ))). 818.03/105.96 thf('105', plain, 818.03/105.96 (( uniqinunit ) = 818.03/105.96 ( ![X4:$i,X6:$i]: 818.03/105.96 ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) => ( ( X4 ) = ( X6 ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(powersetE, axiom, powersetE = 818.03/105.96 (![A:$i,B:$i,Xx:$i]: 818.03/105.96 ( ( in @ B @ ( powerset @ A ) ) => ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ))). 818.03/105.96 thf('106', plain, 818.03/105.96 (( powersetE ) = 818.03/105.96 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.96 ( ( in @ X6 @ ( powerset @ X4 ) ) => 818.03/105.96 ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(emptyInPowerset, axiom, emptyInPowerset = 818.03/105.96 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 818.03/105.96 thf('107', plain, 818.03/105.96 (( emptyInPowerset ) = 818.03/105.96 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(emptyinPowerset, axiom, emptyinPowerset = 818.03/105.96 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 818.03/105.96 thf('108', plain, 818.03/105.96 (( emptyinPowerset ) = 818.03/105.96 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(powersetI, axiom, powersetI = 818.03/105.96 (![A:$i,B:$i]: 818.03/105.96 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) => 818.03/105.96 ( in @ B @ ( powerset @ A ) ) ))). 818.03/105.96 thf('109', plain, 818.03/105.96 (( powersetI ) = 818.03/105.96 ( ![X4:$i,X6:$i]: 818.03/105.96 ( ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) => 818.03/105.96 ( in @ X6 @ ( powerset @ X4 ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(setadjoinOr, axiom, setadjoinOr = 818.03/105.96 (![Xx:$i,A:$i,Xy:$i]: 818.03/105.96 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) => 818.03/105.96 ( ( ( Xy ) = ( Xx ) ) | ( in @ Xy @ A ) ) ))). 818.03/105.96 thf('110', plain, 818.03/105.96 (( setadjoinOr ) = 818.03/105.96 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.96 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) => 818.03/105.96 ( ( ( X8 ) = ( X4 ) ) | ( in @ X8 @ X6 ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(setadjoinE, axiom, setadjoinE = 818.03/105.96 (![Xx:$i,A:$i,Xy:$i]: 818.03/105.96 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) => 818.03/105.96 ( ![Xphi:$o]: 818.03/105.96 ( ( ( ( Xy ) = ( Xx ) ) => ( Xphi ) ) => 818.03/105.96 ( ( ( in @ Xy @ A ) => ( Xphi ) ) => ( Xphi ) ) ) ) ))). 818.03/105.96 thf('111', plain, 818.03/105.96 (( setadjoinE ) = 818.03/105.96 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.96 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) => 818.03/105.96 ( ![X10:$o]: 818.03/105.96 ( ( ( ( X8 ) = ( X4 ) ) => ( X10 ) ) => 818.03/105.96 ( ( ( in @ X8 @ X6 ) => ( X10 ) ) => ( X10 ) ) ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(setadjoinIR, axiom, setadjoinIR = 818.03/105.96 (![Xx:$i,A:$i,Xy:$i]: 818.03/105.96 ( ( in @ Xy @ A ) => ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ))). 818.03/105.96 thf('112', plain, 818.03/105.96 (( setadjoinIR ) = 818.03/105.96 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.96 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(emptyinunitempty, axiom,(( emptyinunitempty ) = 818.03/105.96 (in @ emptyset @ ( setadjoin @ emptyset @ emptyset )))). 818.03/105.96 thf('113', plain, 818.03/105.96 (( emptyinunitempty ) = 818.03/105.96 ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )), 818.03/105.96 inference('simplify_rw_rule', [status(thm)], [emptyinunitempty])). 818.03/105.96 thf('114', plain, 818.03/105.96 (( emptyinunitempty ) = 818.03/105.96 ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(setadjoinIL, axiom, setadjoinIL = 818.03/105.96 (![Xx:$i,Xy:$i]: ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ))). 818.03/105.96 thf('115', plain, 818.03/105.96 (( setadjoinIL ) = 818.03/105.96 ( ![X4:$i,X6:$i]: ( in @ X4 @ ( setadjoin @ X4 @ X6 ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(noeltsimpempty, axiom, noeltsimpempty = 818.03/105.96 (![A:$i]: 818.03/105.96 ( ( ![Xx:$i]: ( ~( in @ Xx @ A ) ) ) => ( ( A ) = ( emptyset ) ) ))). 818.03/105.96 thf('116', plain, 818.03/105.96 (( noeltsimpempty ) = 818.03/105.96 ( ![X4:$i]: 818.03/105.96 ( ( ![X6:$i]: ( ~( in @ X6 @ X4 ) ) ) => ( ( X4 ) = ( emptyset ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(emptyI, axiom, emptyI = 818.03/105.96 (![A:$i]: 818.03/105.96 ( ( ![Xx:$i]: ( ~( in @ Xx @ A ) ) ) => ( ( A ) = ( emptyset ) ) ))). 818.03/105.96 thf('117', plain, 818.03/105.96 (( emptyI ) = 818.03/105.96 ( ![X4:$i]: 818.03/105.96 ( ( ![X6:$i]: ( ~( in @ X6 @ X4 ) ) ) => ( ( X4 ) = ( emptyset ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(setext, axiom, setext = 818.03/105.96 (![A:$i,B:$i]: 818.03/105.96 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 818.03/105.96 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) => 818.03/105.96 ( ( A ) = ( B ) ) ) ))). 818.03/105.96 thf('118', plain, 818.03/105.96 (( setext ) = 818.03/105.96 ( ![X4:$i,X6:$i]: 818.03/105.96 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 818.03/105.96 ( ( ![X10:$i]: ( ( in @ X10 @ X6 ) => ( in @ X10 @ X4 ) ) ) => 818.03/105.96 ( ( X4 ) = ( X6 ) ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(notinemptyset, axiom, notinemptyset = 818.03/105.96 (![Xx:$i]: ( ~( in @ Xx @ emptyset ) ))). 818.03/105.96 thf('119', plain, 818.03/105.96 (( notinemptyset ) = ( ![X4:$i]: ( ~( in @ X4 @ emptyset ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(emptysetimpfalse, axiom, emptysetimpfalse = 818.03/105.96 (![Xx:$i]: ( ( in @ Xx @ emptyset ) => ( $false ) ))). 818.03/105.96 thf('120', plain, 818.03/105.96 (( emptysetimpfalse ) = 818.03/105.96 ( ![X4:$i]: ( ( in @ X4 @ emptyset ) => ( $false ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(emptysetE, axiom, emptysetE = 818.03/105.96 (![Xx:$i]: ( ( in @ Xx @ emptyset ) => ( ![Xphi:$o]: ( Xphi ) ) ))). 818.03/105.96 thf('121', plain, 818.03/105.96 (( emptysetE ) = 818.03/105.96 ( ![X4:$i]: ( ( in @ X4 @ emptyset ) => ( ![X6:$o]: ( X6 ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(wellorderingAx, axiom, wellorderingAx = 818.03/105.96 (![A:$i]: 818.03/105.96 ( ?[B:$i]: 818.03/105.96 ( ( ![C:$i]: 818.03/105.96 ( ( ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ A ) ) ) & 818.03/105.96 ( ?[Xx:$i]: ( in @ Xx @ C ) ) ) => 818.03/105.96 ( ?[D:$i,Xx:$i]: 818.03/105.96 ( ( ![E:$i]: 818.03/105.96 ( ( in @ E @ B ) => 818.03/105.96 ( ( ![Xy:$i]: ( ( in @ Xy @ E ) => ( in @ Xy @ D ) ) ) | 818.03/105.96 ( in @ Xx @ E ) ) ) ) & 818.03/105.96 ( ~( ?[Xy:$i]: ( ( in @ Xy @ C ) & ( in @ Xy @ D ) ) ) ) & 818.03/105.96 ( in @ Xx @ C ) & ( in @ D @ B ) ) ) ) ) & 818.03/105.96 ( ![C:$i,D:$i]: 818.03/105.96 ( ( ( in @ C @ B ) & ( in @ D @ B ) ) => 818.03/105.96 ( ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ D ) ) ) | 818.03/105.96 ( ![Xx:$i]: ( ( in @ Xx @ D ) => ( in @ Xx @ C ) ) ) ) ) ) & 818.03/105.96 ( ![Xx:$i,Xy:$i]: 818.03/105.96 ( ( ( in @ Xx @ A ) & ( in @ Xy @ A ) ) => 818.03/105.96 ( ( ![C:$i]: 818.03/105.96 ( ( in @ C @ B ) => ( ( in @ Xx @ C ) <=> ( in @ Xy @ C ) ) ) ) => 818.03/105.96 ( ( Xx ) = ( Xy ) ) ) ) ) & 818.03/105.96 ( ![C:$i]: 818.03/105.96 ( ( in @ C @ B ) => 818.03/105.96 ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ A ) ) ) ) ) ) ))). 818.03/105.96 thf('122', plain, 818.03/105.96 (( wellorderingAx ) = 818.03/105.96 ( ![X4:$i]: 818.03/105.96 ( ?[X6:$i]: 818.03/105.96 ( ( ![X8:$i]: 818.03/105.96 ( ( ( ![X10:$i]: ( ( in @ X10 @ X8 ) => ( in @ X10 @ X4 ) ) ) & 818.03/105.96 ( ?[X12:$i]: ( in @ X12 @ X8 ) ) ) => 818.03/105.96 ( ?[X14:$i,X16:$i]: 818.03/105.96 ( ( ![X18:$i]: 818.03/105.96 ( ( in @ X18 @ X6 ) => 818.03/105.96 ( ( ![X20:$i]: 818.03/105.96 ( ( in @ X20 @ X18 ) => ( in @ X20 @ X14 ) ) ) | 818.03/105.96 ( in @ X16 @ X18 ) ) ) ) & 818.03/105.96 ( ~( ?[X22:$i]: ( ( in @ X22 @ X8 ) & ( in @ X22 @ X14 ) ) ) ) & 818.03/105.96 ( in @ X16 @ X8 ) & ( in @ X14 @ X6 ) ) ) ) ) & 818.03/105.96 ( ![X24:$i,X26:$i]: 818.03/105.96 ( ( ( in @ X24 @ X6 ) & ( in @ X26 @ X6 ) ) => 818.03/105.96 ( ( ![X28:$i]: ( ( in @ X28 @ X24 ) => ( in @ X28 @ X26 ) ) ) | 818.03/105.96 ( ![X30:$i]: ( ( in @ X30 @ X26 ) => ( in @ X30 @ X24 ) ) ) ) ) ) & 818.03/105.96 ( ![X32:$i,X34:$i]: 818.03/105.96 ( ( ( in @ X32 @ X4 ) & ( in @ X34 @ X4 ) ) => 818.03/105.96 ( ( ![X36:$i]: 818.03/105.96 ( ( in @ X36 @ X6 ) => 818.03/105.96 ( ( in @ X32 @ X36 ) <=> ( in @ X34 @ X36 ) ) ) ) => 818.03/105.96 ( ( X32 ) = ( X34 ) ) ) ) ) & 818.03/105.96 ( ![X38:$i]: 818.03/105.96 ( ( in @ X38 @ X6 ) => 818.03/105.96 ( ![X40:$i]: ( ( in @ X40 @ X38 ) => ( in @ X40 @ X4 ) ) ) ) ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(foundationAx, axiom, foundationAx = 818.03/105.96 (![A:$i]: 818.03/105.96 ( ( ?[Xx:$i]: ( in @ Xx @ A ) ) => 818.03/105.96 ( ?[B:$i]: 818.03/105.96 ( ( ~( ?[Xx:$i]: ( ( in @ Xx @ A ) & ( in @ Xx @ B ) ) ) ) & 818.03/105.96 ( in @ B @ A ) ) ) ))). 818.03/105.96 thf('123', plain, 818.03/105.96 (( foundationAx ) = 818.03/105.96 ( ![X4:$i]: 818.03/105.96 ( ( ?[X6:$i]: ( in @ X6 @ X4 ) ) => 818.03/105.96 ( ?[X8:$i]: 818.03/105.96 ( ( ~( ?[X10:$i]: ( ( in @ X10 @ X4 ) & ( in @ X10 @ X8 ) ) ) ) & 818.03/105.96 ( in @ X8 @ X4 ) ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(powersetAx, axiom, powersetAx = 818.03/105.96 (![A:$i,B:$i]: 818.03/105.96 ( ( in @ B @ ( powerset @ A ) ) <=> 818.03/105.96 ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) ))). 818.03/105.96 thf('124', plain, 818.03/105.96 (( powersetAx ) = 818.03/105.96 ( ![X4:$i,X6:$i]: 818.03/105.96 ( ( in @ X6 @ ( powerset @ X4 ) ) <=> 818.03/105.96 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(setadjoinAx, axiom, setadjoinAx = 818.03/105.96 (![Xx:$i,A:$i,Xy:$i]: 818.03/105.96 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) <=> 818.03/105.96 ( ( ( Xy ) = ( Xx ) ) | ( in @ Xy @ A ) ) ))). 818.03/105.96 thf('125', plain, 818.03/105.96 (( setadjoinAx ) = 818.03/105.96 ( ![X4:$i,X6:$i,X8:$i]: 818.03/105.96 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) <=> 818.03/105.96 ( ( ( X8 ) = ( X4 ) ) | ( in @ X8 @ X6 ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(emptysetAx, axiom, emptysetAx = (![Xx:$i]: ( ~( in @ Xx @ emptyset ) ))). 818.03/105.96 thf('126', plain, 818.03/105.96 (( emptysetAx ) = ( ![X4:$i]: ( ~( in @ X4 @ emptyset ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(setextAx, axiom, setextAx = 818.03/105.96 (![A:$i,B:$i]: 818.03/105.96 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) <=> ( in @ Xx @ B ) ) ) => 818.03/105.96 ( ( A ) = ( B ) ) ))). 818.03/105.96 thf('127', plain, 818.03/105.96 (( setextAx ) = 818.03/105.96 ( ![X4:$i,X6:$i]: 818.03/105.96 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 818.03/105.96 ( ( X4 ) = ( X6 ) ) ) )), 818.03/105.96 define([status(thm)])). 818.03/105.96 thf(complementUnionInPowersetComplement, conjecture, 818.03/105.96 (( setextAx ) => 818.03/105.96 ( ( emptysetAx ) => 818.03/105.96 ( ( setadjoinAx ) => 818.03/105.96 ( ( powersetAx ) => 818.03/105.96 ( ( setunionAx ) => 818.03/105.96 ( ( omega0Ax ) => 818.03/105.96 ( ( omegaSAx ) => 818.03/105.96 ( ( omegaIndAx ) => 818.03/105.96 ( ( replAx ) => 818.03/105.96 ( ( foundationAx ) => 818.03/105.96 ( ( wellorderingAx ) => 818.03/105.96 ( ( descrp ) => 818.03/105.96 ( ( dsetconstrI ) => 818.03/105.96 ( ( dsetconstrEL ) => 818.03/105.96 ( ( dsetconstrER ) => 818.03/105.96 ( ( exuE1 ) => 818.03/105.96 ( ( prop2setE ) => 818.03/105.96 ( ( emptysetE ) => 818.03/105.96 ( ( emptysetimpfalse ) => 818.03/105.96 ( ( notinemptyset ) => 818.03/105.96 ( ( exuE3e ) => 818.03/105.96 ( ( setext ) => 818.03/105.96 ( ( emptyI ) => 818.03/105.96 ( ( noeltsimpempty ) => 818.03/105.96 ( ( setbeta ) => 818.03/105.96 ( ( nonemptyE1 ) => 818.03/105.96 ( ( nonemptyI ) => 818.03/105.96 ( ( nonemptyI1 ) => 818.03/105.96 ( ( setadjoinIL ) => 818.03/105.96 ( ( emptyinunitempty ) => 818.03/105.96 ( ( setadjoinIR ) => 818.03/105.96 ( ( setadjoinE ) => 818.03/105.96 ( ( 818.03/105.96 setadjoinOr ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 setoftrueEq ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 powersetI ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 emptyinPowerset ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 emptyInPowerset ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 powersetE ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 setunionI ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 setunionE ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 subPowSU ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 exuE2 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 nonemptyImpWitness ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 uniqinunit ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 notinsingleton ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 eqinunit ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 singletonsswitch ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 upairsetE ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 upairsetIL ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 upairsetIR ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 emptyE1 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 vacuousDall ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 quantDeMorgan1 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 quantDeMorgan2 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 quantDeMorgan3 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 quantDeMorgan4 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 prop2setI ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 prop2set2propI ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 notdexE ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 notdallE ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 exuI1 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 exuI3 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 exuI2 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 inCongP ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 in__Cong ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 exuE3u ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 exu__Cong ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 emptyset__Cong ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 setadjoin__Cong ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 powerset__Cong ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 setunion__Cong ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 omega__Cong ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 exuEu ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 descr__Cong ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 dsetconstr__Cong ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 subsetI1 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 eqimpsubset2 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 eqimpsubset1 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 subsetI2 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 emptysetsubset ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 subsetE ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 subsetE2 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 notsubsetI ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 notequalI1 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 notequalI2 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 subsetRefl ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 subsetTrans ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 setadjoinSub ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 setadjoinSub2 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 subset2powerset ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 setextsub ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 subsetemptysetimpeq ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 powersetI1 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 powersetE1 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 inPowerset ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 powersetsubset ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 sepInPowerset ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 sepSubset ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 binunionIL ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 upairset2IR ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 binunionIR ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 binunionEcases ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 binunionE ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 binunionLsub ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 binunionRsub ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 binintersectI ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 binintersectSubset5 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 binintersectEL ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 binintersectLsub ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 binintersectSubset2 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 binintersectSubset3 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 binintersectER ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 disjointsetsI1 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 binintersectRsub ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 binintersectSubset4 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 binintersectSubset1 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 bs114d ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 setminusI ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 setminusEL ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 setminusER ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 setminusSubset2 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 setminusERneg ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 setminusELneg ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 setminusILneg ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 setminusIRneg ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 setminusLsub ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 setminusSubset1 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 symdiffE ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 symdiffI1 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 symdiffI2 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 symdiffIneg1 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 symdiffIneg2 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 secondinupair ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 setukpairIL ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 setukpairIR ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 kpairiskpair ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 kpairp ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 singletonsubset ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 singletoninpowerset ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 singletoninpowunion ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 upairset2E ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 upairsubunion ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 upairinpowunion ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 ubforcartprodlem1 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 ubforcartprodlem2 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 ubforcartprodlem3 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 cartprodpairin ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 cartprodmempair1 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 cartprodmempair ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 setunionE2 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 setunionsingleton1 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 setunionsingleton2 ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 setunionsingleton ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 singletonprop ) => 818.03/105.96 ( 818.03/105.96 ( 818.03/105.96 ex1E1 ) => 818.03/105.96 ( 818.03/105.97 ( 818.03/105.97 ex1I ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ex1I2 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 singletonsuniq ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 setukpairinjL1 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 kfstsingleton ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 theprop ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 kfstpairEq ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 cartprodfstin ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 setukpairinjL2 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 setukpairinjL ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 setukpairinjR11 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 setukpairinjR12 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 setukpairinjR1 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 upairequniteq ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 setukpairinjR2 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 setukpairinjR ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ksndsingleton ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ksndpairEq ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 kpairsurjEq ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 cartprodsndin ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 cartprodpairmemEL ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 cartprodpairmemER ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 cartprodmempaircEq ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 cartprodfstpairEq ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 cartprodsndpairEq ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 cartprodpairsurjEq ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 dpsetconstrI ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 dpsetconstrSub ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 setOfPairsIsBReln ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 dpsetconstrERa ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 dpsetconstrEL1 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 dpsetconstrEL2 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 dpsetconstrER ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 funcImageSingleton ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 apProp ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 app ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 infuncsetfunc ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ap2p ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 funcinfuncset ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 lamProp ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 lamp ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 lam2p ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 brelnall1 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 brelnall2 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ex1E2 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 funcGraphProp1 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 funcGraphProp3 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 funcGraphProp2 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 funcextLem ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 funcGraphProp4 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 subbreln ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 eqbreln ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 funcext ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 funcext2 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ap2apEq1 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ap2apEq2 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 beta1 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 eta1 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 lam2lamEq ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 beta2 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 eta2 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 iffalseProp1 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 iffalseProp2 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 iftrueProp1 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 iftrueProp2 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ifSingleton ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ifp ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 theeq ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 iftrue ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 iffalse ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 iftrueorfalse ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 binintersectT_lem ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 binunionT_lem ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 powersetT_lem ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 setminusT_lem ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 complementT_lem ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 setextT ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 subsetTI ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 powersetTI1 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 powersetTE1 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 complementTI1 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 complementTE1 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 binintersectTELcontra ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 binintersectTERcontra ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 contrasubsetT ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 contrasubsetT1 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 contrasubsetT2 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 contrasubsetT3 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 doubleComplementI1 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 doubleComplementE1 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 doubleComplementSub1 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 doubleComplementSub2 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 doubleComplementEq ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 complementTnotintersectT ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 complementImpComplementIntersect ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 complementSubsetComplementIntersect ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 complementInPowersetComplementIntersect ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 contraSubsetComplement ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 complementTcontraSubset ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 binunionTILcontra ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 binunionTIRcontra ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 inIntersectImpInUnion ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 inIntersectImpInUnion2 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 inIntersectImpInIntersectUnions ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 intersectInPowersetIntersectUnions ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 inComplementUnionImpNotIn1 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 inComplementUnionImpInComplement1 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 binunionTE ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 binunionTEcontra ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 demorgan2a1 ) => 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 A:$i,X:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X @ 818.03/105.97 ( 818.03/105.97 powerset @ 818.03/105.97 A ) ) => 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 Y:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 Y @ 818.03/105.97 ( 818.03/105.97 powerset @ 818.03/105.97 A ) ) => 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 ( 818.03/105.97 setminus @ 818.03/105.97 A @ 818.03/105.97 ( 818.03/105.97 binunion @ 818.03/105.97 X @ Y ) ) @ 818.03/105.97 ( 818.03/105.97 powerset @ 818.03/105.97 ( 818.03/105.97 setminus @ 818.03/105.97 A @ X ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 818.03/105.97 thf(zf_stmt_0, conjecture, 818.03/105.97 (( ![X4:$i,X6:$i]: 818.03/105.97 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 818.03/105.97 ( ( X4 ) = ( X6 ) ) ) ) => 818.03/105.97 ( ( ![X10:$i]: ( ~( in @ X10 @ emptyset ) ) ) => 818.03/105.97 ( ( ![X12:$i,X14:$i,X16:$i]: 818.03/105.97 ( ( in @ X16 @ ( setadjoin @ X12 @ X14 ) ) <=> 818.03/105.97 ( ( in @ X16 @ X14 ) | ( ( X16 ) = ( X12 ) ) ) ) ) => 818.03/105.97 ( ( ![X18:$i,X20:$i]: 818.03/105.97 ( ( in @ X20 @ ( powerset @ X18 ) ) <=> 818.03/105.97 ( ![X22:$i]: ( ( in @ X22 @ X20 ) => ( in @ X22 @ X18 ) ) ) ) ) => 818.03/105.97 ( ( setunionAx ) => 818.03/105.97 ( ( omega0Ax ) => 818.03/105.97 ( ( omegaSAx ) => 818.03/105.97 ( ( omegaIndAx ) => 818.03/105.97 ( ( replAx ) => 818.03/105.97 ( ( ![X24:$i]: 818.03/105.97 ( ( ?[X26:$i]: ( in @ X26 @ X24 ) ) => 818.03/105.97 ( ?[X28:$i]: 818.03/105.97 ( ( in @ X28 @ X24 ) & 818.03/105.97 ( ~( ?[X30:$i]: 818.03/105.97 ( ( in @ X30 @ X28 ) & ( in @ X30 @ X24 ) ) ) ) ) ) ) ) => 818.03/105.97 ( ( ![X32:$i]: 818.03/105.97 ( ?[X34:$i]: 818.03/105.97 ( ( ![X66:$i]: 818.03/105.97 ( ( in @ X66 @ X34 ) => 818.03/105.97 ( ![X68:$i]: 818.03/105.97 ( ( in @ X68 @ X66 ) => ( in @ X68 @ X32 ) ) ) ) ) & 818.03/105.97 ( ![X60:$i,X62:$i]: 818.03/105.97 ( ( ( in @ X62 @ X32 ) & ( in @ X60 @ X32 ) ) => 818.03/105.97 ( ( ![X64:$i]: 818.03/105.97 ( ( in @ X64 @ X34 ) => 818.03/105.97 ( ( in @ X60 @ X64 ) <=> 818.03/105.97 ( in @ X62 @ X64 ) ) ) ) => 818.03/105.97 ( ( X60 ) = ( X62 ) ) ) ) ) & 818.03/105.97 ( ![X52:$i,X54:$i]: 818.03/105.97 ( ( ( in @ X54 @ X34 ) & ( in @ X52 @ X34 ) ) => 818.03/105.97 ( ( ![X58:$i]: 818.03/105.97 ( ( in @ X58 @ X54 ) => 818.03/105.97 ( in @ X58 @ X52 ) ) ) | 818.03/105.97 ( ![X56:$i]: 818.03/105.97 ( ( in @ X56 @ X52 ) => 818.03/105.97 ( in @ X56 @ X54 ) ) ) ) ) ) & 818.03/105.97 ( ![X36:$i]: 818.03/105.97 ( ( ( ?[X40:$i]: ( in @ X40 @ X36 ) ) & 818.03/105.97 ( ![X38:$i]: 818.03/105.97 ( ( in @ X38 @ X36 ) => 818.03/105.97 ( in @ X38 @ X32 ) ) ) ) => 818.03/105.97 ( ?[X42:$i,X44:$i]: 818.03/105.97 ( ( in @ X42 @ X34 ) & 818.03/105.97 ( in @ X44 @ X36 ) & 818.03/105.97 ( ~( ?[X50:$i]: 818.03/105.97 ( ( in @ X50 @ X42 ) & 818.03/105.97 ( in @ X50 @ X36 ) ) ) ) & 818.03/105.97 ( ![X46:$i]: 818.03/105.97 ( ( in @ X46 @ X34 ) => 818.03/105.97 ( ( in @ X44 @ X46 ) | 818.03/105.97 ( ![X48:$i]: 818.03/105.97 ( ( in @ X48 @ X46 ) => 818.03/105.97 ( in @ X48 @ X42 ) ) ) ) ) ) ) ) ) ) ) ) ) => 818.03/105.97 ( ( descrp ) => 818.03/105.97 ( ( dsetconstrI ) => 818.03/105.97 ( ( dsetconstrEL ) => 818.03/105.97 ( ( dsetconstrER ) => 818.03/105.97 ( ( exuE1 ) => 818.03/105.97 ( ( prop2setE ) => 818.03/105.97 ( ( ![X70:$i]: 818.03/105.97 ( ( in @ X70 @ emptyset ) => 818.03/105.97 ( ![X72:$o]: ( X72 ) ) ) ) => 818.03/105.97 ( ( ![X74:$i]: 818.03/105.97 ( ( in @ X74 @ emptyset ) => 818.03/105.97 ( $false ) ) ) => 818.03/105.97 ( ( ![X76:$i]: 818.03/105.97 ( ~( in @ X76 @ emptyset ) ) ) => 818.03/105.97 ( ( exuE3e ) => 818.03/105.97 ( ( ![X78:$i,X80:$i]: 818.03/105.97 ( ( ![X82:$i]: 818.03/105.97 ( ( in @ X82 @ X78 ) => 818.03/105.97 ( in @ X82 @ X80 ) ) ) => 818.03/105.97 ( ( ![X84:$i]: 818.03/105.97 ( ( in @ X84 @ X80 ) => 818.03/105.97 ( in @ X84 @ X78 ) ) ) => 818.03/105.97 ( ( X78 ) = ( X80 ) ) ) ) ) => 818.03/105.97 ( ( ![X86:$i]: 818.03/105.97 ( ( ![X88:$i]: 818.03/105.97 ( ~( in @ X88 @ X86 ) ) ) => 818.03/105.97 ( ( X86 ) = ( emptyset ) ) ) ) => 818.03/105.97 ( ( ![X90:$i]: 818.03/105.97 ( ( ![X92:$i]: 818.03/105.97 ( ~( in @ X92 @ X90 ) ) ) => 818.03/105.97 ( ( X90 ) = ( emptyset ) ) ) ) => 818.03/105.97 ( ( setbeta ) => 818.03/105.97 ( ( nonemptyE1 ) => 818.03/105.97 ( ( nonemptyI ) => 818.03/105.97 ( ( nonemptyI1 ) => 818.03/105.97 ( ( ![X94:$i,X96:$i]: 818.03/105.97 ( in @ 818.03/105.97 X94 @ 818.03/105.97 ( setadjoin @ 818.03/105.97 X94 @ X96 ) ) ) => 818.03/105.97 ( ( in @ 818.03/105.97 emptyset @ 818.03/105.97 ( setadjoin @ 818.03/105.97 emptyset @ 818.03/105.97 emptyset ) ) => 818.03/105.97 ( ( ![X98:$i, 818.03/105.97 X100:$i, 818.03/105.97 X102:$i]: 818.03/105.97 ( ( 818.03/105.97 in @ 818.03/105.97 X102 @ 818.03/105.97 X100 ) => 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X102 @ 818.03/105.97 ( 818.03/105.97 setadjoin 818.03/105.97 @ 818.03/105.97 X98 @ X100 ) ) ) ) => 818.03/105.97 ( ( ![ 818.03/105.97 X104:$i, 818.03/105.97 X106:$i, 818.03/105.97 X108:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X108 @ 818.03/105.97 ( 818.03/105.97 setadjoin 818.03/105.97 @ 818.03/105.97 X104 @ 818.03/105.97 X106 ) ) => 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X110:$o]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 X108 ) = 818.03/105.97 ( 818.03/105.97 X104 ) ) => 818.03/105.97 ( 818.03/105.97 X110 ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X108 @ 818.03/105.97 X106 ) => 818.03/105.97 ( 818.03/105.97 X110 ) ) => 818.03/105.97 ( 818.03/105.97 X110 ) ) ) ) ) ) => 818.03/105.97 ( ( 818.03/105.97 ![ 818.03/105.97 X112:$i, 818.03/105.97 X114:$i, 818.03/105.97 X116:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X116 @ 818.03/105.97 ( 818.03/105.97 setadjoin 818.03/105.97 @ 818.03/105.97 X112 @ 818.03/105.97 X114 ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X116 @ 818.03/105.97 X114 ) | 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 X116 ) = 818.03/105.97 ( 818.03/105.97 X112 ) ) ) ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 setoftrueEq ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X118:$i, 818.03/105.97 X120:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X122:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X122 @ 818.03/105.97 X120 ) => 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X122 @ 818.03/105.97 X118 ) ) ) => 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X120 @ 818.03/105.97 ( 818.03/105.97 powerset @ 818.03/105.97 X118 ) ) ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X124:$i]: 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 emptyset @ 818.03/105.97 ( 818.03/105.97 powerset @ 818.03/105.97 X124 ) ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X126:$i]: 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 emptyset @ 818.03/105.97 ( 818.03/105.97 powerset @ 818.03/105.97 X126 ) ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X128:$i, 818.03/105.97 X130:$i, 818.03/105.97 X132:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X130 @ 818.03/105.97 ( 818.03/105.97 powerset @ 818.03/105.97 X128 ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X132 @ 818.03/105.97 X130 ) => 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X132 @ 818.03/105.97 X128 ) ) ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 setunionI ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 setunionE ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 subPowSU ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 exuE2 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 nonemptyImpWitness ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X134:$i, 818.03/105.97 X136:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X134 @ 818.03/105.97 ( 818.03/105.97 setadjoin 818.03/105.97 @ 818.03/105.97 X136 @ 818.03/105.97 emptyset ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 X134 ) = 818.03/105.97 ( 818.03/105.97 X136 ) ) ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X138:$i, 818.03/105.97 X140:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 X138 ) != 818.03/105.97 ( 818.03/105.97 X140 ) ) => 818.03/105.97 ( 818.03/105.97 ~( 818.03/105.97 in @ 818.03/105.97 X140 @ 818.03/105.97 ( 818.03/105.97 setadjoin 818.03/105.97 @ 818.03/105.97 X138 @ 818.03/105.97 emptyset ) ) ) ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X142:$i, 818.03/105.97 X144:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 X142 ) = 818.03/105.97 ( 818.03/105.97 X144 ) ) => 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X142 @ 818.03/105.97 ( 818.03/105.97 setadjoin 818.03/105.97 @ 818.03/105.97 X144 @ 818.03/105.97 emptyset ) ) ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X146:$i, 818.03/105.97 X148:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X146 @ 818.03/105.97 ( 818.03/105.97 setadjoin 818.03/105.97 @ 818.03/105.97 X148 @ 818.03/105.97 emptyset ) ) => 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X148 @ 818.03/105.97 ( 818.03/105.97 setadjoin 818.03/105.97 @ 818.03/105.97 X146 @ 818.03/105.97 emptyset ) ) ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X150:$i, 818.03/105.97 X152:$i, 818.03/105.97 X154:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X154 @ 818.03/105.97 ( 818.03/105.97 setadjoin 818.03/105.97 @ 818.03/105.97 X150 @ 818.03/105.97 ( 818.03/105.97 setadjoin 818.03/105.97 @ 818.03/105.97 X152 @ 818.03/105.97 emptyset ) ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 X154 ) = 818.03/105.97 ( 818.03/105.97 X152 ) ) | 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 X154 ) = 818.03/105.97 ( 818.03/105.97 X150 ) ) ) ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X156:$i, 818.03/105.97 X158:$i]: 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X156 @ 818.03/105.97 ( 818.03/105.97 setadjoin 818.03/105.97 @ 818.03/105.97 X156 @ 818.03/105.97 ( 818.03/105.97 setadjoin 818.03/105.97 @ 818.03/105.97 X158 @ 818.03/105.97 emptyset ) ) ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X160:$i, 818.03/105.97 X162:$i]: 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X162 @ 818.03/105.97 ( 818.03/105.97 setadjoin 818.03/105.97 @ 818.03/105.97 X160 @ 818.03/105.97 ( 818.03/105.97 setadjoin 818.03/105.97 @ 818.03/105.97 X162 @ 818.03/105.97 emptyset ) ) ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 emptyE1 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X164:( 818.03/105.97 $i > $o ), 818.03/105.97 X166:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X166 @ 818.03/105.97 emptyset ) => 818.03/105.97 ( 818.03/105.97 X164 @ 818.03/105.97 X166 ) ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X168:$i, 818.03/105.97 X170:( 818.03/105.97 $i > $o )]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ~( 818.03/105.97 ![ 818.03/105.97 X172:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X172 @ 818.03/105.97 X168 ) => 818.03/105.97 ( 818.03/105.97 X170 @ 818.03/105.97 X172 ) ) ) ) => 818.03/105.97 ( 818.03/105.97 ?[ 818.03/105.97 X174:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X174 @ 818.03/105.97 X168 ) & 818.03/105.97 ( 818.03/105.97 ~( 818.03/105.97 X170 @ 818.03/105.97 X174 ) ) ) ) ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X176:$i, 818.03/105.97 X178:( 818.03/105.97 $i > $o )]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X180:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X180 @ 818.03/105.97 X176 ) => 818.03/105.97 ( 818.03/105.97 ~( 818.03/105.97 X178 @ 818.03/105.97 X180 ) ) ) ) => 818.03/105.97 ( 818.03/105.97 ~( 818.03/105.97 ?[ 818.03/105.97 X182:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X182 @ 818.03/105.97 X176 ) & 818.03/105.97 ( 818.03/105.97 X178 @ 818.03/105.97 X182 ) ) ) ) ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X184:$i, 818.03/105.97 X186:( 818.03/105.97 $i > $o )]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ~( 818.03/105.97 ?[ 818.03/105.97 X188:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X188 @ 818.03/105.97 X184 ) & 818.03/105.97 ( 818.03/105.97 X186 @ 818.03/105.97 X188 ) ) ) ) => 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X190:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X190 @ 818.03/105.97 X184 ) => 818.03/105.97 ( 818.03/105.97 ~( 818.03/105.97 X186 @ 818.03/105.97 X190 ) ) ) ) ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X192:$i, 818.03/105.97 X194:( 818.03/105.97 $i > $o )]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ?[ 818.03/105.97 X196:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X196 @ 818.03/105.97 X192 ) & 818.03/105.97 ( 818.03/105.97 ~( 818.03/105.97 X194 @ 818.03/105.97 X196 ) ) ) ) => 818.03/105.97 ( 818.03/105.97 ~( 818.03/105.97 ![ 818.03/105.97 X198:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X198 @ 818.03/105.97 X192 ) => 818.03/105.97 ( 818.03/105.97 X194 @ 818.03/105.97 X198 ) ) ) ) ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 prop2setI ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 prop2set2propI ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X200:$i, 818.03/105.97 X202:( 818.03/105.97 $i > $o )]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ~( 818.03/105.97 ?[ 818.03/105.97 X204:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X204 @ 818.03/105.97 X200 ) & 818.03/105.97 ( 818.03/105.97 X202 @ 818.03/105.97 X204 ) ) ) ) => 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X206:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X206 @ 818.03/105.97 X200 ) => 818.03/105.97 ( 818.03/105.97 ~( 818.03/105.97 X202 @ 818.03/105.97 X206 ) ) ) ) ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X208:$i, 818.03/105.97 X210:( 818.03/105.97 $i > $o )]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ~( 818.03/105.97 ![ 818.03/105.97 X212:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X212 @ 818.03/105.97 X208 ) => 818.03/105.97 ( 818.03/105.97 X210 @ 818.03/105.97 X212 ) ) ) ) => 818.03/105.97 ( 818.03/105.97 ?[ 818.03/105.97 X214:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X214 @ 818.03/105.97 X208 ) & 818.03/105.97 ( 818.03/105.97 ~( 818.03/105.97 X210 @ 818.03/105.97 X214 ) ) ) ) ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 exuI1 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 exuI3 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 exuI2 ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X216:$i, 818.03/105.97 X218:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 X216 ) = 818.03/105.97 ( 818.03/105.97 X218 ) ) => 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X220:$i, 818.03/105.97 X222:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 X220 ) = 818.03/105.97 ( 818.03/105.97 X222 ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X220 @ 818.03/105.97 X216 ) => 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X222 @ 818.03/105.97 X218 ) ) ) ) ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X224:$i, 818.03/105.97 X226:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 X224 ) = 818.03/105.97 ( 818.03/105.97 X226 ) ) => 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X228:$i, 818.03/105.97 X230:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 X228 ) = 818.03/105.97 ( 818.03/105.97 X230 ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X228 @ 818.03/105.97 X224 ) <=> 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X230 @ 818.03/105.97 X226 ) ) ) ) ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 exuE3u ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 exu__Cong ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 emptyset ) = 818.03/105.97 ( 818.03/105.97 emptyset ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X232:$i, 818.03/105.97 X234:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 X232 ) = 818.03/105.97 ( 818.03/105.97 X234 ) ) => 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X236:$i, 818.03/105.97 X238:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 X236 ) = 818.03/105.97 ( 818.03/105.97 X238 ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 setadjoin 818.03/105.97 @ 818.03/105.97 X232 @ 818.03/105.97 X236 ) = 818.03/105.97 ( 818.03/105.97 setadjoin 818.03/105.97 @ 818.03/105.97 X234 @ 818.03/105.97 X238 ) ) ) ) ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X240:$i, 818.03/105.97 X242:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 X240 ) = 818.03/105.97 ( 818.03/105.97 X242 ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 powerset @ 818.03/105.97 X240 ) = 818.03/105.97 ( 818.03/105.97 powerset @ 818.03/105.97 X242 ) ) ) ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 setunion__Cong ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 omega__Cong ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 exuEu ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 descr__Cong ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 dsetconstr__Cong ) => 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X244:$i, 818.03/105.97 X246:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 ![ 818.03/105.97 X248:$i]: 818.03/105.97 ( 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X248 @ 818.03/105.97 X244 ) => 818.03/105.97 ( 818.03/105.97 in @ 818.03/105.97 X248 @ 818.03/105.97 X246 ) ) ) => 818.03/105.97 ( 818.03/105.97 subset @ 818.03/105.97 X244 @ 818.03/105.97 X246 ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X250:$i, 818.03/105.98 X252:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 X250 ) = 818.03/105.98 ( 818.03/105.98 X252 ) ) => 818.03/105.98 ( 818.03/105.98 subset @ 818.03/105.98 X252 @ 818.03/105.98 X250 ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X254:$i, 818.03/105.98 X256:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 X254 ) = 818.03/105.98 ( 818.03/105.98 X256 ) ) => 818.03/105.98 ( 818.03/105.98 subset @ 818.03/105.98 X254 @ 818.03/105.98 X256 ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X258:$i, 818.03/105.98 X260:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X262:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X262 @ 818.03/105.98 X258 ) => 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X262 @ 818.03/105.98 X260 ) ) ) => 818.03/105.98 ( 818.03/105.98 subset @ 818.03/105.98 X258 @ 818.03/105.98 X260 ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X264:$i]: 818.03/105.98 ( 818.03/105.98 subset @ 818.03/105.98 emptyset @ 818.03/105.98 X264 ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X266:$i, 818.03/105.98 X268:$i, 818.03/105.98 X270:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 subset @ 818.03/105.98 X266 @ 818.03/105.98 X268 ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X270 @ 818.03/105.98 X266 ) => 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X270 @ 818.03/105.98 X268 ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X272:$i, 818.03/105.98 X274:$i, 818.03/105.98 X276:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 subset @ 818.03/105.98 X272 @ 818.03/105.98 X274 ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ~( 818.03/105.98 in @ 818.03/105.98 X276 @ 818.03/105.98 X274 ) ) => 818.03/105.98 ( 818.03/105.98 ~( 818.03/105.98 in @ 818.03/105.98 X276 @ 818.03/105.98 X272 ) ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X278:$i, 818.03/105.98 X280:$i, 818.03/105.98 X282:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X282 @ 818.03/105.98 X278 ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ~( 818.03/105.98 in @ 818.03/105.98 X282 @ 818.03/105.98 X280 ) ) => 818.03/105.98 ( 818.03/105.98 ~( 818.03/105.98 subset @ 818.03/105.98 X278 @ 818.03/105.98 X280 ) ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X284:$i, 818.03/105.98 X286:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ~( 818.03/105.98 subset @ 818.03/105.98 X284 @ 818.03/105.98 X286 ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 X284 ) != 818.03/105.98 ( 818.03/105.98 X286 ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X288:$i, 818.03/105.98 X290:$i, 818.03/105.98 X292:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X292 @ 818.03/105.98 X288 ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ~( 818.03/105.98 in @ 818.03/105.98 X292 @ 818.03/105.98 X290 ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 X288 ) != 818.03/105.98 ( 818.03/105.98 X290 ) ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X294:$i]: 818.03/105.98 ( 818.03/105.98 subset @ 818.03/105.98 X294 @ 818.03/105.98 X294 ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X296:$i, 818.03/105.98 X298:$i, 818.03/105.98 X300:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 subset @ 818.03/105.98 X296 @ 818.03/105.98 X298 ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 subset @ 818.03/105.98 X298 @ 818.03/105.98 X300 ) => 818.03/105.98 ( 818.03/105.98 subset @ 818.03/105.98 X296 @ 818.03/105.98 X300 ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X302:$i, 818.03/105.98 X304:$i]: 818.03/105.98 ( 818.03/105.98 subset @ 818.03/105.98 X304 @ 818.03/105.98 ( 818.03/105.98 setadjoin 818.03/105.98 @ 818.03/105.98 X302 @ 818.03/105.98 X304 ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X306:$i, 818.03/105.98 X308:$i, 818.03/105.98 X310:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 subset @ 818.03/105.98 X306 @ 818.03/105.98 X310 ) => 818.03/105.98 ( 818.03/105.98 subset @ 818.03/105.98 X306 @ 818.03/105.98 ( 818.03/105.98 setadjoin 818.03/105.98 @ 818.03/105.98 X308 @ 818.03/105.98 X310 ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X312:$i, 818.03/105.98 X314:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 subset @ 818.03/105.98 X312 @ 818.03/105.98 X314 ) => 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X312 @ 818.03/105.98 ( 818.03/105.98 powerset @ 818.03/105.98 X314 ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X316:$i, 818.03/105.98 X318:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 subset @ 818.03/105.98 X316 @ 818.03/105.98 X318 ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 subset @ 818.03/105.98 X318 @ 818.03/105.98 X316 ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 X316 ) = 818.03/105.98 ( 818.03/105.98 X318 ) ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X320:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 subset @ 818.03/105.98 X320 @ 818.03/105.98 emptyset ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 X320 ) = 818.03/105.98 ( 818.03/105.98 emptyset ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X322:$i, 818.03/105.98 X324:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 subset @ 818.03/105.98 X324 @ 818.03/105.98 X322 ) => 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X324 @ 818.03/105.98 ( 818.03/105.98 powerset @ 818.03/105.98 X322 ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X326:$i, 818.03/105.98 X328:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X328 @ 818.03/105.98 ( 818.03/105.98 powerset @ 818.03/105.98 X326 ) ) => 818.03/105.98 ( 818.03/105.98 subset @ 818.03/105.98 X328 @ 818.03/105.98 X326 ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X330:$i]: 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X330 @ 818.03/105.98 ( 818.03/105.98 powerset @ 818.03/105.98 X330 ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X332:$i, 818.03/105.98 X334:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 subset @ 818.03/105.98 X332 @ 818.03/105.98 X334 ) => 818.03/105.98 ( 818.03/105.98 subset @ 818.03/105.98 ( 818.03/105.98 powerset @ 818.03/105.98 X332 ) @ 818.03/105.98 ( 818.03/105.98 powerset @ 818.03/105.98 X334 ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 sepInPowerset ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 sepSubset ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X336:$i, 818.03/105.98 X338:$i, 818.03/105.98 X340:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X340 @ 818.03/105.98 X336 ) => 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X340 @ 818.03/105.98 ( 818.03/105.98 binunion @ 818.03/105.98 X336 @ 818.03/105.98 X338 ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X342:$i, 818.03/105.98 X344:$i]: 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X344 @ 818.03/105.98 ( 818.03/105.98 setadjoin 818.03/105.98 @ 818.03/105.98 X342 @ 818.03/105.98 ( 818.03/105.98 setadjoin 818.03/105.98 @ 818.03/105.98 X344 @ 818.03/105.98 emptyset ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X346:$i, 818.03/105.98 X348:$i, 818.03/105.98 X350:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X350 @ 818.03/105.98 X348 ) => 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X350 @ 818.03/105.98 ( 818.03/105.98 binunion @ 818.03/105.98 X346 @ 818.03/105.98 X348 ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X352:$i, 818.03/105.98 X354:$i, 818.03/105.98 X356:$i, 818.03/105.98 X358:$o]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X356 @ 818.03/105.98 ( 818.03/105.98 binunion @ 818.03/105.98 X352 @ 818.03/105.98 X354 ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X356 @ 818.03/105.98 X352 ) => 818.03/105.98 ( 818.03/105.98 X358 ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X356 @ 818.03/105.98 X354 ) => 818.03/105.98 ( 818.03/105.98 X358 ) ) => 818.03/105.98 ( 818.03/105.98 X358 ) ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X360:$i, 818.03/105.98 X362:$i, 818.03/105.98 X364:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X364 @ 818.03/105.98 ( 818.03/105.98 binunion @ 818.03/105.98 X360 @ 818.03/105.98 X362 ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X364 @ 818.03/105.98 X362 ) | 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X364 @ 818.03/105.98 X360 ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X366:$i, 818.03/105.98 X368:$i]: 818.03/105.98 ( 818.03/105.98 subset @ 818.03/105.98 X366 @ 818.03/105.98 ( 818.03/105.98 binunion @ 818.03/105.98 X366 @ 818.03/105.98 X368 ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X370:$i, 818.03/105.98 X372:$i]: 818.03/105.98 ( 818.03/105.98 subset @ 818.03/105.98 X372 @ 818.03/105.98 ( 818.03/105.98 binunion @ 818.03/105.98 X370 @ 818.03/105.98 X372 ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 binintersectI ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 binintersectSubset5 ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 binintersectEL ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 binintersectLsub ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 binintersectSubset2 ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 binintersectSubset3 ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 binintersectER ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 disjointsetsI1 ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 binintersectRsub ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 binintersectSubset4 ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 binintersectSubset1 ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 bs114d ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X374:$i, 818.03/105.98 X376:$i, 818.03/105.98 X378:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X378 @ 818.03/105.98 X374 ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ~( 818.03/105.98 in @ 818.03/105.98 X378 @ 818.03/105.98 X376 ) ) => 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X378 @ 818.03/105.98 ( 818.03/105.98 setminus @ 818.03/105.98 X374 @ 818.03/105.98 X376 ) ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X380:$i, 818.03/105.98 X382:$i, 818.03/105.98 X384:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X384 @ 818.03/105.98 ( 818.03/105.98 setminus @ 818.03/105.98 X380 @ 818.03/105.98 X382 ) ) => 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X384 @ 818.03/105.98 X380 ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X386:$i, 818.03/105.98 X388:$i, 818.03/105.98 X390:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X390 @ 818.03/105.98 ( 818.03/105.98 setminus @ 818.03/105.98 X386 @ 818.03/105.98 X388 ) ) => 818.03/105.98 ( 818.03/105.98 ~( 818.03/105.98 in @ 818.03/105.98 X390 @ 818.03/105.98 X388 ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X392:$i, 818.03/105.98 X394:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 subset @ 818.03/105.98 X392 @ 818.03/105.98 X394 ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 setminus @ 818.03/105.98 X392 @ 818.03/105.98 X394 ) = 818.03/105.98 ( 818.03/105.98 emptyset ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X396:$i, 818.03/105.98 X398:$i, 818.03/105.98 X400:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ~( 818.03/105.98 in @ 818.03/105.98 X400 @ 818.03/105.98 ( 818.03/105.98 setminus 818.03/105.98 @ 818.03/105.98 X396 @ 818.03/105.98 X398 ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X400 @ 818.03/105.98 X396 ) => 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X400 @ 818.03/105.98 X398 ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X402:$i, 818.03/105.98 X404:$i, 818.03/105.98 X406:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ~( 818.03/105.98 in @ 818.03/105.98 X406 @ 818.03/105.98 ( 818.03/105.98 setminus 818.03/105.98 @ 818.03/105.98 X402 @ 818.03/105.98 X404 ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ~( 818.03/105.98 in @ 818.03/105.98 X406 @ 818.03/105.98 X404 ) ) => 818.03/105.98 ( 818.03/105.98 ~( 818.03/105.98 in @ 818.03/105.98 X406 @ 818.03/105.98 X402 ) ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X408:$i, 818.03/105.98 X410:$i, 818.03/105.98 X412:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ~( 818.03/105.98 in @ 818.03/105.98 X412 @ 818.03/105.98 X408 ) ) => 818.03/105.98 ( 818.03/105.98 ~( 818.03/105.98 in @ 818.03/105.98 X412 @ 818.03/105.98 ( 818.03/105.98 setminus 818.03/105.98 @ 818.03/105.98 X408 @ 818.03/105.98 X410 ) ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X414:$i, 818.03/105.98 X416:$i, 818.03/105.98 X418:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X418 @ 818.03/105.98 X416 ) => 818.03/105.98 ( 818.03/105.98 ~( 818.03/105.98 in @ 818.03/105.98 X418 @ 818.03/105.98 ( 818.03/105.98 setminus 818.03/105.98 @ 818.03/105.98 X414 @ 818.03/105.98 X416 ) ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X420:$i, 818.03/105.98 X422:$i]: 818.03/105.98 ( 818.03/105.98 subset @ 818.03/105.98 ( 818.03/105.98 setminus @ 818.03/105.98 X420 @ 818.03/105.98 X422 ) @ 818.03/105.98 X420 ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X424:$i, 818.03/105.98 X426:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 setminus @ 818.03/105.98 X424 @ 818.03/105.98 X426 ) = 818.03/105.98 ( 818.03/105.98 emptyset ) ) => 818.03/105.98 ( 818.03/105.98 subset @ 818.03/105.98 X424 @ 818.03/105.98 X426 ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 symdiffE ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 symdiffI1 ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 symdiffI2 ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 symdiffIneg1 ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 symdiffIneg2 ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X428:$i, 818.03/105.98 X430:$i]: 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X430 @ 818.03/105.98 ( 818.03/105.98 setadjoin 818.03/105.98 @ 818.03/105.98 X428 @ 818.03/105.98 ( 818.03/105.98 setadjoin 818.03/105.98 @ 818.03/105.98 X430 @ 818.03/105.98 emptyset ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 setukpairIL ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 setukpairIR ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 kpairiskpair ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 kpairp ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X432:$i, 818.03/105.98 X434:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X434 @ 818.03/105.98 X432 ) => 818.03/105.98 ( 818.03/105.98 subset @ 818.03/105.98 ( 818.03/105.98 setadjoin 818.03/105.98 @ 818.03/105.98 X434 @ 818.03/105.98 emptyset ) @ 818.03/105.98 X432 ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X436:$i, 818.03/105.98 X438:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X438 @ 818.03/105.98 X436 ) => 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 ( 818.03/105.98 setadjoin 818.03/105.98 @ 818.03/105.98 X438 @ 818.03/105.98 emptyset ) @ 818.03/105.98 ( 818.03/105.98 powerset @ 818.03/105.98 X436 ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X440:$i, 818.03/105.98 X442:$i, 818.03/105.98 X444:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X444 @ 818.03/105.98 X440 ) => 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 ( 818.03/105.98 setadjoin 818.03/105.98 @ 818.03/105.98 X444 @ 818.03/105.98 emptyset ) @ 818.03/105.98 ( 818.03/105.98 powerset @ 818.03/105.98 ( 818.03/105.98 binunion @ 818.03/105.98 X440 @ 818.03/105.98 X442 ) ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X446:$i, 818.03/105.98 X448:$i, 818.03/105.98 X450:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X450 @ 818.03/105.98 ( 818.03/105.98 setadjoin 818.03/105.98 @ 818.03/105.98 X446 @ 818.03/105.98 ( 818.03/105.98 setadjoin 818.03/105.98 @ 818.03/105.98 X448 @ 818.03/105.98 emptyset ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 X450 ) = 818.03/105.98 ( 818.03/105.98 X448 ) ) | 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 X450 ) = 818.03/105.98 ( 818.03/105.98 X446 ) ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X452:$i, 818.03/105.98 X454:$i, 818.03/105.98 X456:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X456 @ 818.03/105.98 X452 ) => 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X458:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X458 @ 818.03/105.98 X454 ) => 818.03/105.98 ( 818.03/105.98 subset @ 818.03/105.98 ( 818.03/105.98 setadjoin 818.03/105.98 @ 818.03/105.98 X456 @ 818.03/105.98 ( 818.03/105.98 setadjoin 818.03/105.98 @ 818.03/105.98 X458 @ 818.03/105.98 emptyset ) ) @ 818.03/105.98 ( 818.03/105.98 binunion @ 818.03/105.98 X452 @ 818.03/105.98 X454 ) ) ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X460:$i, 818.03/105.98 X462:$i, 818.03/105.98 X464:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X464 @ 818.03/105.98 X460 ) => 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X466:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X466 @ 818.03/105.98 X462 ) => 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 ( 818.03/105.98 setadjoin 818.03/105.98 @ 818.03/105.98 X464 @ 818.03/105.98 ( 818.03/105.98 setadjoin 818.03/105.98 @ 818.03/105.98 X466 @ 818.03/105.98 emptyset ) ) @ 818.03/105.98 ( 818.03/105.98 powerset @ 818.03/105.98 ( 818.03/105.98 binunion @ 818.03/105.98 X460 @ 818.03/105.98 X462 ) ) ) ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X468:$i, 818.03/105.98 X470:$i, 818.03/105.98 X472:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X472 @ 818.03/105.98 X468 ) => 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X474:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X474 @ 818.03/105.98 X470 ) => 818.03/105.98 ( 818.03/105.98 subset @ 818.03/105.98 ( 818.03/105.98 setadjoin 818.03/105.98 @ 818.03/105.98 ( 818.03/105.98 setadjoin 818.03/105.98 @ 818.03/105.98 X472 @ 818.03/105.98 emptyset ) @ 818.03/105.98 ( 818.03/105.98 setadjoin 818.03/105.98 @ 818.03/105.98 ( 818.03/105.98 setadjoin 818.03/105.98 @ 818.03/105.98 X472 @ 818.03/105.98 ( 818.03/105.98 setadjoin 818.03/105.98 @ 818.03/105.98 X474 @ 818.03/105.98 emptyset ) ) @ 818.03/105.98 emptyset ) ) @ 818.03/105.98 ( 818.03/105.98 powerset @ 818.03/105.98 ( 818.03/105.98 binunion @ 818.03/105.98 X468 @ 818.03/105.98 X470 ) ) ) ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X476:$i, 818.03/105.98 X478:$i, 818.03/105.98 X480:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X480 @ 818.03/105.98 X476 ) => 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X482:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X482 @ 818.03/105.98 X478 ) => 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 ( 818.03/105.98 setadjoin 818.03/105.98 @ 818.03/105.98 ( 818.03/105.98 setadjoin 818.03/105.98 @ 818.03/105.98 X480 @ 818.03/105.98 emptyset ) @ 818.03/105.98 ( 818.03/105.98 setadjoin 818.03/105.98 @ 818.03/105.98 ( 818.03/105.98 setadjoin 818.03/105.98 @ 818.03/105.98 X480 @ 818.03/105.98 ( 818.03/105.98 setadjoin 818.03/105.98 @ 818.03/105.98 X482 @ 818.03/105.98 emptyset ) ) @ 818.03/105.98 emptyset ) ) @ 818.03/105.98 ( 818.03/105.98 powerset @ 818.03/105.98 ( 818.03/105.98 powerset @ 818.03/105.98 ( 818.03/105.98 binunion @ 818.03/105.98 X476 @ 818.03/105.98 X478 ) ) ) ) ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X484:$i, 818.03/105.98 X486:$i, 818.03/105.98 X488:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X488 @ 818.03/105.98 X484 ) => 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X490:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 X490 @ 818.03/105.98 X486 ) => 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 ( 818.03/105.98 kpair @ 818.03/105.98 X488 @ 818.03/105.98 X490 ) @ 818.03/105.98 ( 818.03/105.98 powerset @ 818.03/105.98 ( 818.03/105.98 powerset @ 818.03/105.98 ( 818.03/105.98 binunion @ 818.03/105.98 X484 @ 818.03/105.98 X486 ) ) ) ) ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 cartprodpairin ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 cartprodmempair1 ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 cartprodmempair ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 setunionE2 ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 setunionsingleton1 ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 setunionsingleton2 ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 setunionsingleton ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 singletonprop ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ex1E1 ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ex1I ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ex1I2 ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X492:$i, 818.03/105.98 X494:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 setadjoin 818.03/105.98 @ 818.03/105.98 X492 @ 818.03/105.98 emptyset ) = 818.03/105.98 ( 818.03/105.98 setadjoin 818.03/105.98 @ 818.03/105.98 X494 @ 818.03/105.98 emptyset ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 X492 ) = 818.03/105.98 ( 818.03/105.98 X494 ) ) ) ) => 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 ![ 818.03/105.98 X496:$i, 818.03/105.98 X498:$i, 818.03/105.98 X500:$i]: 818.03/105.98 ( 818.03/105.98 ( 818.03/105.98 in @ 818.03/105.98 ( 818.03/105.98 setadjoin 818.03/105.98 @ 818.03/105.98 X500 @ 818.03/105.98 emptyset ) @ 818.03/105.98 ( 818.03/105.98 setadjoin 818.03/105.98 @ 818.03/105.98 ( 818.03/105.98 setadjoin 818.03/105.98 @ 818.03/105.98 X496 @ 818.03/105.98 emptyset ) @ 818.03/105.98 ( 818.03/105.98 setadjoin 818.03/105.99 @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 X496 @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 X498 @ 818.03/105.99 emptyset ) ) @ 818.03/105.99 emptyset ) ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 X496 ) = 818.03/105.99 ( 818.03/105.99 X500 ) ) ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 kfstsingleton ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 theprop ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 kfstpairEq ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 cartprodfstin ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X502:$i, 818.03/105.99 X504:$i, 818.03/105.99 X506:$i, 818.03/105.99 X508:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 X502 @ 818.03/105.99 emptyset ) @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 X502 @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 X504 @ 818.03/105.99 emptyset ) ) @ 818.03/105.99 emptyset ) ) = 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 X506 @ 818.03/105.99 emptyset ) @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 X506 @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 X508 @ 818.03/105.99 emptyset ) ) @ 818.03/105.99 emptyset ) ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 X502 ) = 818.03/105.99 ( 818.03/105.99 X506 ) ) ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X510:$i, 818.03/105.99 X512:$i, 818.03/105.99 X514:$i, 818.03/105.99 X516:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 kpair @ 818.03/105.99 X510 @ 818.03/105.99 X512 ) = 818.03/105.99 ( 818.03/105.99 kpair @ 818.03/105.99 X514 @ 818.03/105.99 X516 ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 X510 ) = 818.03/105.99 ( 818.03/105.99 X514 ) ) ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X518:$i, 818.03/105.99 X520:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 X518 ) = 818.03/105.99 ( 818.03/105.99 X520 ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 X518 @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 X520 @ 818.03/105.99 emptyset ) ) = 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 X518 @ 818.03/105.99 emptyset ) ) ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X522:$i, 818.03/105.99 X524:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 X522 ) = 818.03/105.99 ( 818.03/105.99 X524 ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 X522 @ 818.03/105.99 emptyset ) @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 X522 @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 X524 @ 818.03/105.99 emptyset ) ) @ 818.03/105.99 emptyset ) ) = 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 X522 @ 818.03/105.99 emptyset ) @ 818.03/105.99 emptyset ) ) ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X526:$i, 818.03/105.99 X528:$i, 818.03/105.99 X530:$i, 818.03/105.99 X532:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 X526 @ 818.03/105.99 emptyset ) @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 X526 @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 X528 @ 818.03/105.99 emptyset ) ) @ 818.03/105.99 emptyset ) ) = 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 X530 @ 818.03/105.99 emptyset ) @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 X530 @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 X532 @ 818.03/105.99 emptyset ) ) @ 818.03/105.99 emptyset ) ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 X530 ) = 818.03/105.99 ( 818.03/105.99 X532 ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 X528 ) = 818.03/105.99 ( 818.03/105.99 X532 ) ) ) ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X534:$i, 818.03/105.99 X536:$i, 818.03/105.99 X538:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 X534 @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 X536 @ 818.03/105.99 emptyset ) ) = 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 X538 @ 818.03/105.99 emptyset ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 X534 ) = 818.03/105.99 ( 818.03/105.99 X536 ) ) ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X540:$i, 818.03/105.99 X542:$i, 818.03/105.99 X544:$i, 818.03/105.99 X546:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 X540 @ 818.03/105.99 emptyset ) @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 X540 @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 X542 @ 818.03/105.99 emptyset ) ) @ 818.03/105.99 emptyset ) ) = 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 X544 @ 818.03/105.99 emptyset ) @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 X544 @ 818.03/105.99 ( 818.03/105.99 setadjoin 818.03/105.99 @ 818.03/105.99 X546 @ 818.03/105.99 emptyset ) ) @ 818.03/105.99 emptyset ) ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 X542 ) = 818.03/105.99 ( 818.03/105.99 X546 ) ) ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X548:$i, 818.03/105.99 X550:$i, 818.03/105.99 X552:$i, 818.03/105.99 X554:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 kpair @ 818.03/105.99 X548 @ 818.03/105.99 X550 ) = 818.03/105.99 ( 818.03/105.99 kpair @ 818.03/105.99 X552 @ 818.03/105.99 X554 ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 X550 ) = 818.03/105.99 ( 818.03/105.99 X554 ) ) ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ksndsingleton ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ksndpairEq ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 kpairsurjEq ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 cartprodsndin ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 cartprodpairmemEL ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 cartprodpairmemER ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X556:$i, 818.03/105.99 X558:$i, 818.03/105.99 X560:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X560 @ 818.03/105.99 X556 ) => 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X562:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X562 @ 818.03/105.99 X558 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 kpair @ 818.03/105.99 X560 @ 818.03/105.99 X562 ) = 818.03/105.99 ( 818.03/105.99 kpair @ 818.03/105.99 X560 @ 818.03/105.99 X562 ) ) ) ) ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 cartprodfstpairEq ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 cartprodsndpairEq ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 cartprodpairsurjEq ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 dpsetconstrI ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 dpsetconstrSub ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 setOfPairsIsBReln ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 dpsetconstrERa ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 dpsetconstrEL1 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 dpsetconstrEL2 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 dpsetconstrER ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 funcImageSingleton ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 apProp ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 app ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 infuncsetfunc ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ap2p ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 funcinfuncset ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 lamProp ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 lamp ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 lam2p ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 brelnall1 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 brelnall2 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ex1E2 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 funcGraphProp1 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 funcGraphProp3 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 funcGraphProp2 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 funcextLem ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 funcGraphProp4 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 subbreln ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 eqbreln ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 funcext ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 funcext2 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ap2apEq1 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ap2apEq2 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 beta1 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 eta1 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 lam2lamEq ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 beta2 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 eta2 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 iffalseProp1 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 iffalseProp2 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 iftrueProp1 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 iftrueProp2 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ifSingleton ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ifp ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 theeq ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 iftrue ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 iffalse ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 iftrueorfalse ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 binintersectT_lem ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X564:$i, 818.03/105.99 X566:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X566 @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X564 ) ) => 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X568:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X568 @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X564 ) ) => 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 ( 818.03/105.99 binunion @ 818.03/105.99 X566 @ 818.03/105.99 X568 ) @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X564 ) ) ) ) ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X570:$i, 818.03/105.99 X572:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X572 @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X570 ) ) => 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X572 ) @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X570 ) ) ) ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X574:$i, 818.03/105.99 X576:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X576 @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X574 ) ) => 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X578:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X578 @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X574 ) ) => 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 ( 818.03/105.99 setminus @ 818.03/105.99 X576 @ 818.03/105.99 X578 ) @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X574 ) ) ) ) ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X580:$i, 818.03/105.99 X582:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X582 @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X580 ) ) => 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 ( 818.03/105.99 setminus @ 818.03/105.99 X580 @ 818.03/105.99 X582 ) @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X580 ) ) ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X584:$i, 818.03/105.99 X586:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X586 @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X584 ) ) => 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X588:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X588 @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X584 ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X590:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X590 @ 818.03/105.99 X584 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X590 @ 818.03/105.99 X586 ) => 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X590 @ 818.03/105.99 X588 ) ) ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X592:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X592 @ 818.03/105.99 X584 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X592 @ 818.03/105.99 X588 ) => 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X592 @ 818.03/105.99 X586 ) ) ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 X586 ) = 818.03/105.99 ( 818.03/105.99 X588 ) ) ) ) ) ) ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X594:$i, 818.03/105.99 X596:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X596 @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X594 ) ) => 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X598:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X598 @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X594 ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X600:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X600 @ 818.03/105.99 X594 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X600 @ 818.03/105.99 X596 ) => 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X600 @ 818.03/105.99 X598 ) ) ) ) => 818.03/105.99 ( 818.03/105.99 subset @ 818.03/105.99 X596 @ 818.03/105.99 X598 ) ) ) ) ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X602:$i, 818.03/105.99 X604:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X604 @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X602 ) ) => 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X606:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X606 @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X602 ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X608:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X608 @ 818.03/105.99 X602 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X608 @ 818.03/105.99 X604 ) => 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X608 @ 818.03/105.99 X606 ) ) ) ) => 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X604 @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X606 ) ) ) ) ) ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X610:$i, 818.03/105.99 X612:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X612 @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X610 ) ) => 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X614:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X614 @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X610 ) ) => 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X616:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X616 @ 818.03/105.99 X610 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X612 @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X614 ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X616 @ 818.03/105.99 X612 ) => 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X616 @ 818.03/105.99 X614 ) ) ) ) ) ) ) ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X618:$i, 818.03/105.99 X620:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X620 @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X618 ) ) => 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X622:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X622 @ 818.03/105.99 X618 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X622 @ 818.03/105.99 X620 ) => 818.03/105.99 ( 818.03/105.99 ~( 818.03/105.99 in @ 818.03/105.99 X622 @ 818.03/105.99 ( 818.03/105.99 setminus 818.03/105.99 @ 818.03/105.99 X618 @ 818.03/105.99 X620 ) ) ) ) ) ) ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X624:$i, 818.03/105.99 X626:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X626 @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X624 ) ) => 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X628:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X628 @ 818.03/105.99 X624 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ~( 818.03/105.99 in @ 818.03/105.99 X628 @ 818.03/105.99 ( 818.03/105.99 setminus 818.03/105.99 @ 818.03/105.99 X624 @ 818.03/105.99 X626 ) ) ) => 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X628 @ 818.03/105.99 X626 ) ) ) ) ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 binintersectTELcontra ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 binintersectTERcontra ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X630:$i, 818.03/105.99 X632:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X632 @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X630 ) ) => 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X634:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X634 @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X630 ) ) => 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X636:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X636 @ 818.03/105.99 X630 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 subset @ 818.03/105.99 X632 @ 818.03/105.99 ( 818.03/105.99 setminus @ 818.03/105.99 X630 @ 818.03/105.99 X634 ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X636 @ 818.03/105.99 X634 ) => 818.03/105.99 ( 818.03/105.99 ~( 818.03/105.99 in @ 818.03/105.99 X636 @ 818.03/105.99 X632 ) ) ) ) ) ) ) ) ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X638:$i, 818.03/105.99 X640:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X640 @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X638 ) ) => 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X642:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X642 @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X638 ) ) => 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X644:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X644 @ 818.03/105.99 X638 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 subset @ 818.03/105.99 X640 @ 818.03/105.99 X642 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ~( 818.03/105.99 in @ 818.03/105.99 X644 @ 818.03/105.99 X642 ) ) => 818.03/105.99 ( 818.03/105.99 ~( 818.03/105.99 in @ 818.03/105.99 X644 @ 818.03/105.99 X640 ) ) ) ) ) ) ) ) ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X646:$i, 818.03/105.99 X648:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X648 @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X646 ) ) => 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X650:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X650 @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X646 ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 subset @ 818.03/105.99 X648 @ 818.03/105.99 X650 ) => 818.03/105.99 ( 818.03/105.99 subset @ 818.03/105.99 ( 818.03/105.99 setminus @ 818.03/105.99 X646 @ 818.03/105.99 X650 ) @ 818.03/105.99 ( 818.03/105.99 setminus @ 818.03/105.99 X646 @ 818.03/105.99 X648 ) ) ) ) ) ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X652:$i, 818.03/105.99 X654:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X654 @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X652 ) ) => 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X656:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X656 @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X652 ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 subset @ 818.03/105.99 ( 818.03/105.99 setminus @ 818.03/105.99 X652 @ 818.03/105.99 X656 ) @ 818.03/105.99 ( 818.03/105.99 setminus @ 818.03/105.99 X652 @ 818.03/105.99 X654 ) ) => 818.03/105.99 ( 818.03/105.99 subset @ 818.03/105.99 X654 @ 818.03/105.99 X656 ) ) ) ) ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X658:$i, 818.03/105.99 X660:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X660 @ 818.03/105.99 ( 818.03/105.99 powerset @ 818.03/105.99 X658 ) ) => 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X662:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X662 @ 818.03/105.99 X658 ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X662 @ 818.03/105.99 X660 ) => 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X662 @ 818.03/105.99 ( 818.03/105.99 setminus @ 818.03/105.99 X658 @ 818.03/105.99 ( 818.03/105.99 setminus @ 818.03/105.99 X658 @ 818.03/105.99 X660 ) ) ) ) ) ) ) ) => 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 ![ 818.03/105.99 X664:$i, 818.03/105.99 X666:$i]: 818.03/105.99 ( 818.03/105.99 ( 818.03/105.99 in @ 818.03/105.99 X666 @ 818.03/105.99 ( 818.03/106.00 powerset @ 818.03/106.00 X664 ) ) => 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X668:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X668 @ 818.03/106.00 X664 ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X668 @ 818.03/106.00 ( 818.03/106.00 setminus @ 818.03/106.00 X664 @ 818.03/106.00 ( 818.03/106.00 setminus @ 818.03/106.00 X664 @ 818.03/106.00 X666 ) ) ) => 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X668 @ 818.03/106.00 X666 ) ) ) ) ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X670:$i, 818.03/106.00 X672:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X672 @ 818.03/106.00 ( 818.03/106.00 powerset @ 818.03/106.00 X670 ) ) => 818.03/106.00 ( 818.03/106.00 subset @ 818.03/106.00 X672 @ 818.03/106.00 ( 818.03/106.00 setminus @ 818.03/106.00 X670 @ 818.03/106.00 ( 818.03/106.00 setminus @ 818.03/106.00 X670 @ 818.03/106.00 X672 ) ) ) ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X674:$i, 818.03/106.00 X676:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X676 @ 818.03/106.00 ( 818.03/106.00 powerset @ 818.03/106.00 X674 ) ) => 818.03/106.00 ( 818.03/106.00 subset @ 818.03/106.00 ( 818.03/106.00 setminus @ 818.03/106.00 X674 @ 818.03/106.00 ( 818.03/106.00 setminus @ 818.03/106.00 X674 @ 818.03/106.00 X676 ) ) @ 818.03/106.00 X676 ) ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X678:$i, 818.03/106.00 X680:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X680 @ 818.03/106.00 ( 818.03/106.00 powerset @ 818.03/106.00 X678 ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 X680 ) = 818.03/106.00 ( 818.03/106.00 setminus @ 818.03/106.00 X678 @ 818.03/106.00 ( 818.03/106.00 setminus @ 818.03/106.00 X678 @ 818.03/106.00 X680 ) ) ) ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 complementTnotintersectT ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 complementImpComplementIntersect ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 complementSubsetComplementIntersect ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 complementInPowersetComplementIntersect ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X682:$i, 818.03/106.00 X684:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X684 @ 818.03/106.00 ( 818.03/106.00 powerset @ 818.03/106.00 X682 ) ) => 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X686:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X686 @ 818.03/106.00 ( 818.03/106.00 powerset @ 818.03/106.00 X682 ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 subset @ 818.03/106.00 X684 @ 818.03/106.00 ( 818.03/106.00 setminus @ 818.03/106.00 X682 @ 818.03/106.00 X686 ) ) => 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X688:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X688 @ 818.03/106.00 X682 ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X688 @ 818.03/106.00 X686 ) => 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X688 @ 818.03/106.00 ( 818.03/106.00 setminus @ 818.03/106.00 X682 @ 818.03/106.00 X684 ) ) ) ) ) ) ) ) ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X690:$i, 818.03/106.00 X692:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X692 @ 818.03/106.00 ( 818.03/106.00 powerset @ 818.03/106.00 X690 ) ) => 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X694:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X694 @ 818.03/106.00 ( 818.03/106.00 powerset @ 818.03/106.00 X690 ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 subset @ 818.03/106.00 X692 @ 818.03/106.00 ( 818.03/106.00 setminus @ 818.03/106.00 X690 @ 818.03/106.00 X694 ) ) => 818.03/106.00 ( 818.03/106.00 subset @ 818.03/106.00 X694 @ 818.03/106.00 ( 818.03/106.00 setminus @ 818.03/106.00 X690 @ 818.03/106.00 X692 ) ) ) ) ) ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X696:$i, 818.03/106.00 X698:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X698 @ 818.03/106.00 ( 818.03/106.00 powerset @ 818.03/106.00 X696 ) ) => 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X700:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X700 @ 818.03/106.00 ( 818.03/106.00 powerset @ 818.03/106.00 X696 ) ) => 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X702:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X702 @ 818.03/106.00 X696 ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ~( 818.03/106.00 in @ 818.03/106.00 X702 @ 818.03/106.00 ( 818.03/106.00 binunion 818.03/106.00 @ 818.03/106.00 X698 @ 818.03/106.00 X700 ) ) ) => 818.03/106.00 ( 818.03/106.00 ~( 818.03/106.00 in @ 818.03/106.00 X702 @ 818.03/106.00 X698 ) ) ) ) ) ) ) ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X704:$i, 818.03/106.00 X706:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X706 @ 818.03/106.00 ( 818.03/106.00 powerset @ 818.03/106.00 X704 ) ) => 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X708:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X708 @ 818.03/106.00 ( 818.03/106.00 powerset @ 818.03/106.00 X704 ) ) => 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X710:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X710 @ 818.03/106.00 X704 ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ~( 818.03/106.00 in @ 818.03/106.00 X710 @ 818.03/106.00 ( 818.03/106.00 binunion 818.03/106.00 @ 818.03/106.00 X706 @ 818.03/106.00 X708 ) ) ) => 818.03/106.00 ( 818.03/106.00 ~( 818.03/106.00 in @ 818.03/106.00 X710 @ 818.03/106.00 X708 ) ) ) ) ) ) ) ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 inIntersectImpInUnion ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 inIntersectImpInUnion2 ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 inIntersectImpInIntersectUnions ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 intersectInPowersetIntersectUnions ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X712:$i, 818.03/106.00 X714:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X714 @ 818.03/106.00 ( 818.03/106.00 powerset @ 818.03/106.00 X712 ) ) => 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X716:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X716 @ 818.03/106.00 ( 818.03/106.00 powerset @ 818.03/106.00 X712 ) ) => 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X718:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X718 @ 818.03/106.00 X712 ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X718 @ 818.03/106.00 ( 818.03/106.00 setminus @ 818.03/106.00 X712 @ 818.03/106.00 ( 818.03/106.00 binunion @ 818.03/106.00 X714 @ 818.03/106.00 X716 ) ) ) => 818.03/106.00 ( 818.03/106.00 ~( 818.03/106.00 in @ 818.03/106.00 X718 @ 818.03/106.00 X714 ) ) ) ) ) ) ) ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X720:$i, 818.03/106.00 X722:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X722 @ 818.03/106.00 ( 818.03/106.00 powerset @ 818.03/106.00 X720 ) ) => 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X724:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X724 @ 818.03/106.00 ( 818.03/106.00 powerset @ 818.03/106.00 X720 ) ) => 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X726:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X726 @ 818.03/106.00 X720 ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X726 @ 818.03/106.00 ( 818.03/106.00 setminus @ 818.03/106.00 X720 @ 818.03/106.00 ( 818.03/106.00 binunion @ 818.03/106.00 X722 @ 818.03/106.00 X724 ) ) ) => 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X726 @ 818.03/106.00 ( 818.03/106.00 setminus @ 818.03/106.00 X720 @ 818.03/106.00 X722 ) ) ) ) ) ) ) ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X728:$i, 818.03/106.00 X730:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X730 @ 818.03/106.00 ( 818.03/106.00 powerset @ 818.03/106.00 X728 ) ) => 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X732:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X732 @ 818.03/106.00 ( 818.03/106.00 powerset @ 818.03/106.00 X728 ) ) => 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X734:$o, 818.03/106.00 X736:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X736 @ 818.03/106.00 X728 ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X736 @ 818.03/106.00 ( 818.03/106.00 binunion @ 818.03/106.00 X730 @ 818.03/106.00 X732 ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X736 @ 818.03/106.00 X730 ) => 818.03/106.00 ( 818.03/106.00 X734 ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X736 @ 818.03/106.00 X732 ) => 818.03/106.00 ( 818.03/106.00 X734 ) ) => 818.03/106.00 ( 818.03/106.00 X734 ) ) ) ) ) ) ) ) ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X738:$i, 818.03/106.00 X740:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X740 @ 818.03/106.00 ( 818.03/106.00 powerset @ 818.03/106.00 X738 ) ) => 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X742:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X742 @ 818.03/106.00 ( 818.03/106.00 powerset @ 818.03/106.00 X738 ) ) => 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X744:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X744 @ 818.03/106.00 X738 ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ~( 818.03/106.00 in @ 818.03/106.00 X744 @ 818.03/106.00 X740 ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ~( 818.03/106.00 in @ 818.03/106.00 X744 @ 818.03/106.00 X742 ) ) => 818.03/106.00 ( 818.03/106.00 ~( 818.03/106.00 in @ 818.03/106.00 X744 @ 818.03/106.00 ( 818.03/106.00 binunion 818.03/106.00 @ 818.03/106.00 X740 @ 818.03/106.00 X742 ) ) ) ) ) ) ) ) ) ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X746:$i, 818.03/106.00 X748:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X748 @ 818.03/106.00 ( 818.03/106.00 powerset @ 818.03/106.00 X746 ) ) => 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X750:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X750 @ 818.03/106.00 ( 818.03/106.00 powerset @ 818.03/106.00 X746 ) ) => 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X752:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X752 @ 818.03/106.00 X746 ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X752 @ 818.03/106.00 ( 818.03/106.00 setminus @ 818.03/106.00 X746 @ 818.03/106.00 ( 818.03/106.00 binunion @ 818.03/106.00 X748 @ 818.03/106.00 X750 ) ) ) => 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X752 @ 818.03/106.00 ( 818.03/106.00 setminus @ 818.03/106.00 X746 @ 818.03/106.00 X748 ) ) ) ) ) ) ) ) ) => 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X754:$i, 818.03/106.00 X756:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X756 @ 818.03/106.00 ( 818.03/106.00 powerset @ 818.03/106.00 X754 ) ) => 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X758:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X758 @ 818.03/106.00 ( 818.03/106.00 powerset @ 818.03/106.00 X754 ) ) => 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 ( 818.03/106.00 setminus @ 818.03/106.00 X754 @ 818.03/106.00 ( 818.03/106.00 binunion @ 818.03/106.00 X756 @ 818.03/106.00 X758 ) ) @ 818.03/106.00 ( 818.03/106.00 powerset @ 818.03/106.00 ( 818.03/106.00 setminus @ 818.03/106.00 X754 @ 818.03/106.00 X756 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 818.03/106.00 thf(zf_stmt_1, type, zip_tseitin_1 : $i > $i > $i > $o). 818.03/106.00 thf(zf_stmt_2, axiom, 818.03/106.00 (![X22:$i,X20:$i,X18:$i]: 818.03/106.00 ( ( zip_tseitin_1 @ X22 @ X20 @ X18 ) <=> 818.03/106.00 ( ( in @ X22 @ X20 ) => ( in @ X22 @ X18 ) ) ))). 818.03/106.00 thf(zf_stmt_3, type, zip_tseitin_0 : $i > $i > $i > $o). 818.03/106.00 thf(zf_stmt_4, axiom, 818.03/106.00 (![X16:$i,X14:$i,X12:$i]: 818.03/106.00 ( ( zip_tseitin_0 @ X16 @ X14 @ X12 ) <=> 818.03/106.00 ( ( ( X16 ) = ( X12 ) ) | ( in @ X16 @ X14 ) ) ))). 818.03/106.00 thf(zf_stmt_5, conjecture, 818.03/106.00 (( ![X4:$i,X6:$i]: 818.03/106.00 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 818.03/106.00 ( ( X4 ) = ( X6 ) ) ) ) => 818.03/106.00 ( ( ![X10:$i]: ( ~( in @ X10 @ emptyset ) ) ) => 818.03/106.00 ( ( ![X12:$i,X14:$i,X16:$i]: 818.03/106.00 ( ( in @ X16 @ ( setadjoin @ X12 @ X14 ) ) <=> 818.03/106.00 ( zip_tseitin_0 @ X16 @ X14 @ X12 ) ) ) => 818.03/106.00 ( ( ![X18:$i,X20:$i]: 818.03/106.00 ( ( in @ X20 @ ( powerset @ X18 ) ) <=> 818.03/106.00 ( ![X22:$i]: ( zip_tseitin_1 @ X22 @ X20 @ X18 ) ) ) ) => 818.03/106.00 ( ( setunionAx ) => 818.03/106.00 ( ( omega0Ax ) => 818.03/106.00 ( ( omegaSAx ) => 818.03/106.00 ( ( omegaIndAx ) => 818.03/106.00 ( ( replAx ) => 818.03/106.00 ( ( ![X24:$i]: 818.03/106.00 ( ( ?[X26:$i]: ( in @ X26 @ X24 ) ) => 818.03/106.00 ( ?[X28:$i]: 818.03/106.00 ( ( ~( ?[X30:$i]: 818.03/106.00 ( ( in @ X30 @ X24 ) & ( in @ X30 @ X28 ) ) ) ) & 818.03/106.00 ( in @ X28 @ X24 ) ) ) ) ) => 818.03/106.00 ( ( ![X32:$i]: 818.03/106.00 ( ?[X34:$i]: 818.03/106.00 ( ( ![X36:$i]: 818.03/106.00 ( ( ( ![X38:$i]: 818.03/106.00 ( ( in @ X38 @ X36 ) => 818.03/106.00 ( in @ X38 @ X32 ) ) ) & 818.03/106.00 ( ?[X40:$i]: ( in @ X40 @ X36 ) ) ) => 818.03/106.00 ( ?[X42:$i,X44:$i]: 818.03/106.00 ( ( ![X46:$i]: 818.03/106.00 ( ( in @ X46 @ X34 ) => 818.03/106.00 ( ( ![X48:$i]: 818.03/106.00 ( ( in @ X48 @ X46 ) => 818.03/106.00 ( in @ X48 @ X42 ) ) ) | 818.03/106.00 ( in @ X44 @ X46 ) ) ) ) & 818.03/106.00 ( ~( ?[X50:$i]: 818.03/106.00 ( ( in @ X50 @ X36 ) & 818.03/106.00 ( in @ X50 @ X42 ) ) ) ) & 818.03/106.00 ( in @ X44 @ X36 ) & ( in @ X42 @ X34 ) ) ) ) ) & 818.03/106.00 ( ![X52:$i,X54:$i]: 818.03/106.00 ( ( ( in @ X52 @ X34 ) & ( in @ X54 @ X34 ) ) => 818.03/106.00 ( ( ![X56:$i]: 818.03/106.00 ( ( in @ X56 @ X52 ) => 818.03/106.00 ( in @ X56 @ X54 ) ) ) | 818.03/106.00 ( ![X58:$i]: 818.03/106.00 ( ( in @ X58 @ X54 ) => 818.03/106.00 ( in @ X58 @ X52 ) ) ) ) ) ) & 818.03/106.00 ( ![X60:$i,X62:$i]: 818.03/106.00 ( ( ( in @ X60 @ X32 ) & ( in @ X62 @ X32 ) ) => 818.03/106.00 ( ( ![X64:$i]: 818.03/106.00 ( ( in @ X64 @ X34 ) => 818.03/106.00 ( ( in @ X60 @ X64 ) <=> 818.03/106.00 ( in @ X62 @ X64 ) ) ) ) => 818.03/106.00 ( ( X60 ) = ( X62 ) ) ) ) ) & 818.03/106.00 ( ![X66:$i]: 818.03/106.00 ( ( in @ X66 @ X34 ) => 818.03/106.00 ( ![X68:$i]: 818.03/106.00 ( ( in @ X68 @ X66 ) => ( in @ X68 @ X32 ) ) ) ) ) ) ) ) => 818.03/106.00 ( ( descrp ) => 818.03/106.00 ( ( dsetconstrI ) => 818.03/106.00 ( ( dsetconstrEL ) => 818.03/106.00 ( ( dsetconstrER ) => 818.03/106.00 ( ( exuE1 ) => 818.03/106.00 ( ( prop2setE ) => 818.03/106.00 ( ( ![X70:$i]: 818.03/106.00 ( ( in @ X70 @ emptyset ) => 818.03/106.00 ( ![X72:$o]: ( X72 ) ) ) ) => 818.03/106.00 ( ( ![X74:$i]: 818.03/106.00 ( ~( in @ X74 @ emptyset ) ) ) => 818.03/106.00 ( ( ![X76:$i]: 818.03/106.00 ( ~( in @ X76 @ emptyset ) ) ) => 818.03/106.00 ( ( exuE3e ) => 818.03/106.00 ( ( ![X78:$i,X80:$i]: 818.03/106.00 ( ( ![X82:$i]: 818.03/106.00 ( ( in @ X82 @ X78 ) => 818.03/106.00 ( in @ X82 @ X80 ) ) ) => 818.03/106.00 ( ( ![X84:$i]: 818.03/106.00 ( ( in @ X84 @ X80 ) => 818.03/106.00 ( in @ X84 @ X78 ) ) ) => 818.03/106.00 ( ( X78 ) = ( X80 ) ) ) ) ) => 818.03/106.00 ( ( ![X86:$i]: 818.03/106.00 ( ( ![X88:$i]: 818.03/106.00 ( ~( in @ X88 @ X86 ) ) ) => 818.03/106.00 ( ( X86 ) = ( emptyset ) ) ) ) => 818.03/106.00 ( ( ![X90:$i]: 818.03/106.00 ( ( ![X92:$i]: 818.03/106.00 ( ~( in @ X92 @ X90 ) ) ) => 818.03/106.00 ( ( X90 ) = ( emptyset ) ) ) ) => 818.03/106.00 ( ( setbeta ) => 818.03/106.00 ( ( nonemptyE1 ) => 818.03/106.00 ( ( nonemptyI ) => 818.03/106.00 ( ( nonemptyI1 ) => 818.03/106.00 ( ( ![X94:$i,X96:$i]: 818.03/106.00 ( in @ 818.03/106.00 X94 @ 818.03/106.00 ( setadjoin @ 818.03/106.00 X94 @ X96 ) ) ) => 818.03/106.00 ( ( in @ 818.03/106.00 emptyset @ 818.03/106.00 ( setadjoin @ 818.03/106.00 emptyset @ 818.03/106.00 emptyset ) ) => 818.03/106.00 ( ( ![X98:$i, 818.03/106.00 X100:$i, 818.03/106.00 X102:$i]: 818.03/106.00 ( ( 818.03/106.00 in @ 818.03/106.00 X102 @ 818.03/106.00 X100 ) => 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X102 @ 818.03/106.00 ( 818.03/106.00 setadjoin 818.03/106.00 @ 818.03/106.00 X98 @ X100 ) ) ) ) => 818.03/106.00 ( ( ![ 818.03/106.00 X104:$i, 818.03/106.00 X106:$i, 818.03/106.00 X108:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X108 @ 818.03/106.00 ( 818.03/106.00 setadjoin 818.03/106.00 @ 818.03/106.00 X104 @ 818.03/106.00 X106 ) ) => 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X110:$o]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 X108 ) = 818.03/106.00 ( 818.03/106.00 X104 ) ) => 818.03/106.00 ( 818.03/106.00 X110 ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X108 @ 818.03/106.00 X106 ) => 818.03/106.00 ( 818.03/106.00 X110 ) ) => 818.03/106.00 ( 818.03/106.00 X110 ) ) ) ) ) ) => 818.03/106.00 ( ( 818.03/106.00 ![ 818.03/106.00 X112:$i, 818.03/106.00 X114:$i, 818.03/106.00 X116:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X116 @ 818.03/106.00 ( 818.03/106.00 setadjoin 818.03/106.00 @ 818.03/106.00 X112 @ 818.03/106.00 X114 ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 X116 ) = 818.03/106.00 ( 818.03/106.00 X112 ) ) | 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X116 @ 818.03/106.00 X114 ) ) ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 setoftrueEq ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X118:$i, 818.03/106.00 X120:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X122:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X122 @ 818.03/106.00 X120 ) => 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X122 @ 818.03/106.00 X118 ) ) ) => 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X120 @ 818.03/106.00 ( 818.03/106.00 powerset @ 818.03/106.00 X118 ) ) ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X124:$i]: 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 emptyset @ 818.03/106.00 ( 818.03/106.00 powerset @ 818.03/106.00 X124 ) ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X126:$i]: 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 emptyset @ 818.03/106.00 ( 818.03/106.00 powerset @ 818.03/106.00 X126 ) ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X128:$i, 818.03/106.00 X130:$i, 818.03/106.00 X132:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X130 @ 818.03/106.00 ( 818.03/106.00 powerset @ 818.03/106.00 X128 ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X132 @ 818.03/106.00 X130 ) => 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X132 @ 818.03/106.00 X128 ) ) ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 setunionI ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 setunionE ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 subPowSU ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 exuE2 ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 nonemptyImpWitness ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X134:$i, 818.03/106.00 X136:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X134 @ 818.03/106.00 ( 818.03/106.00 setadjoin 818.03/106.00 @ 818.03/106.00 X136 @ 818.03/106.00 emptyset ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 X134 ) = 818.03/106.00 ( 818.03/106.00 X136 ) ) ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X138:$i, 818.03/106.00 X140:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 X138 ) != 818.03/106.00 ( 818.03/106.00 X140 ) ) => 818.03/106.00 ( 818.03/106.00 ~( 818.03/106.00 in @ 818.03/106.00 X140 @ 818.03/106.00 ( 818.03/106.00 setadjoin 818.03/106.00 @ 818.03/106.00 X138 @ 818.03/106.00 emptyset ) ) ) ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X142:$i, 818.03/106.00 X144:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 X142 ) = 818.03/106.00 ( 818.03/106.00 X144 ) ) => 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X142 @ 818.03/106.00 ( 818.03/106.00 setadjoin 818.03/106.00 @ 818.03/106.00 X144 @ 818.03/106.00 emptyset ) ) ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X146:$i, 818.03/106.00 X148:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X146 @ 818.03/106.00 ( 818.03/106.00 setadjoin 818.03/106.00 @ 818.03/106.00 X148 @ 818.03/106.00 emptyset ) ) => 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X148 @ 818.03/106.00 ( 818.03/106.00 setadjoin 818.03/106.00 @ 818.03/106.00 X146 @ 818.03/106.00 emptyset ) ) ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X150:$i, 818.03/106.00 X152:$i, 818.03/106.00 X154:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X154 @ 818.03/106.00 ( 818.03/106.00 setadjoin 818.03/106.00 @ 818.03/106.00 X150 @ 818.03/106.00 ( 818.03/106.00 setadjoin 818.03/106.00 @ 818.03/106.00 X152 @ 818.03/106.00 emptyset ) ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 X154 ) = 818.03/106.00 ( 818.03/106.00 X150 ) ) | 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 X154 ) = 818.03/106.00 ( 818.03/106.00 X152 ) ) ) ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X156:$i, 818.03/106.00 X158:$i]: 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X156 @ 818.03/106.00 ( 818.03/106.00 setadjoin 818.03/106.00 @ 818.03/106.00 X156 @ 818.03/106.00 ( 818.03/106.00 setadjoin 818.03/106.00 @ 818.03/106.00 X158 @ 818.03/106.00 emptyset ) ) ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X160:$i, 818.03/106.00 X162:$i]: 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X162 @ 818.03/106.00 ( 818.03/106.00 setadjoin 818.03/106.00 @ 818.03/106.00 X160 @ 818.03/106.00 ( 818.03/106.00 setadjoin 818.03/106.00 @ 818.03/106.00 X162 @ 818.03/106.00 emptyset ) ) ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 emptyE1 ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X164:( 818.03/106.00 $i > $o ), 818.03/106.00 X166:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X166 @ 818.03/106.00 emptyset ) => 818.03/106.00 ( 818.03/106.00 X164 @ 818.03/106.00 X166 ) ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X168:$i, 818.03/106.00 X170:( 818.03/106.00 $i > $o )]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ~( 818.03/106.00 ![ 818.03/106.00 X172:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X172 @ 818.03/106.00 X168 ) => 818.03/106.00 ( 818.03/106.00 X170 @ 818.03/106.00 X172 ) ) ) ) => 818.03/106.00 ( 818.03/106.00 ?[ 818.03/106.00 X174:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ~( 818.03/106.00 X170 @ 818.03/106.00 X174 ) ) & 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X174 @ 818.03/106.00 X168 ) ) ) ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X176:$i, 818.03/106.00 X178:( 818.03/106.00 $i > $o )]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X180:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X180 @ 818.03/106.00 X176 ) => 818.03/106.00 ( 818.03/106.00 ~( 818.03/106.00 X178 @ 818.03/106.00 X180 ) ) ) ) => 818.03/106.00 ( 818.03/106.00 ~( 818.03/106.00 ?[ 818.03/106.00 X182:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 X178 @ 818.03/106.00 X182 ) & 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X182 @ 818.03/106.00 X176 ) ) ) ) ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X184:$i, 818.03/106.00 X186:( 818.03/106.00 $i > $o )]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ~( 818.03/106.00 ?[ 818.03/106.00 X188:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 X186 @ 818.03/106.00 X188 ) & 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X188 @ 818.03/106.00 X184 ) ) ) ) => 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X190:$i]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 in @ 818.03/106.00 X190 @ 818.03/106.00 X184 ) => 818.03/106.00 ( 818.03/106.00 ~( 818.03/106.00 X186 @ 818.03/106.00 X190 ) ) ) ) ) ) => 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ![ 818.03/106.00 X192:$i, 818.03/106.00 X194:( 818.03/106.00 $i > $o )]: 818.03/106.00 ( 818.03/106.00 ( 818.03/106.00 ?[ 818.03/106.00 X196:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ~( 818.03/106.01 X194 @ 818.03/106.01 X196 ) ) & 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X196 @ 818.03/106.01 X192 ) ) ) => 818.03/106.01 ( 818.03/106.01 ~( 818.03/106.01 ![ 818.03/106.01 X198:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X198 @ 818.03/106.01 X192 ) => 818.03/106.01 ( 818.03/106.01 X194 @ 818.03/106.01 X198 ) ) ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 prop2setI ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 prop2set2propI ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X200:$i, 818.03/106.01 X202:( 818.03/106.01 $i > $o )]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ~( 818.03/106.01 ?[ 818.03/106.01 X204:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 X202 @ 818.03/106.01 X204 ) & 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X204 @ 818.03/106.01 X200 ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X206:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X206 @ 818.03/106.01 X200 ) => 818.03/106.01 ( 818.03/106.01 ~( 818.03/106.01 X202 @ 818.03/106.01 X206 ) ) ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X208:$i, 818.03/106.01 X210:( 818.03/106.01 $i > $o )]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ~( 818.03/106.01 ![ 818.03/106.01 X212:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X212 @ 818.03/106.01 X208 ) => 818.03/106.01 ( 818.03/106.01 X210 @ 818.03/106.01 X212 ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ?[ 818.03/106.01 X214:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ~( 818.03/106.01 X210 @ 818.03/106.01 X214 ) ) & 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X214 @ 818.03/106.01 X208 ) ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 exuI1 ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 exuI3 ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 exuI2 ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X216:$i, 818.03/106.01 X218:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 X216 ) = 818.03/106.01 ( 818.03/106.01 X218 ) ) => 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X220:$i, 818.03/106.01 X222:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 X220 ) = 818.03/106.01 ( 818.03/106.01 X222 ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X220 @ 818.03/106.01 X216 ) => 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X222 @ 818.03/106.01 X218 ) ) ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X224:$i, 818.03/106.01 X226:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 X224 ) = 818.03/106.01 ( 818.03/106.01 X226 ) ) => 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X228:$i, 818.03/106.01 X230:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 X228 ) = 818.03/106.01 ( 818.03/106.01 X230 ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X228 @ 818.03/106.01 X224 ) <=> 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X230 @ 818.03/106.01 X226 ) ) ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 exuE3u ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 exu__Cong ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 emptyset ) = 818.03/106.01 ( 818.03/106.01 emptyset ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X232:$i, 818.03/106.01 X234:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 X232 ) = 818.03/106.01 ( 818.03/106.01 X234 ) ) => 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X236:$i, 818.03/106.01 X238:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 X236 ) = 818.03/106.01 ( 818.03/106.01 X238 ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 setadjoin 818.03/106.01 @ 818.03/106.01 X232 @ 818.03/106.01 X236 ) = 818.03/106.01 ( 818.03/106.01 setadjoin 818.03/106.01 @ 818.03/106.01 X234 @ 818.03/106.01 X238 ) ) ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X240:$i, 818.03/106.01 X242:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 X240 ) = 818.03/106.01 ( 818.03/106.01 X242 ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 powerset @ 818.03/106.01 X240 ) = 818.03/106.01 ( 818.03/106.01 powerset @ 818.03/106.01 X242 ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 setunion__Cong ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 omega__Cong ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 exuEu ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 descr__Cong ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 dsetconstr__Cong ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X244:$i, 818.03/106.01 X246:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X248:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X248 @ 818.03/106.01 X244 ) => 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X248 @ 818.03/106.01 X246 ) ) ) => 818.03/106.01 ( 818.03/106.01 subset @ 818.03/106.01 X244 @ 818.03/106.01 X246 ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X250:$i, 818.03/106.01 X252:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 X250 ) = 818.03/106.01 ( 818.03/106.01 X252 ) ) => 818.03/106.01 ( 818.03/106.01 subset @ 818.03/106.01 X252 @ 818.03/106.01 X250 ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X254:$i, 818.03/106.01 X256:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 X254 ) = 818.03/106.01 ( 818.03/106.01 X256 ) ) => 818.03/106.01 ( 818.03/106.01 subset @ 818.03/106.01 X254 @ 818.03/106.01 X256 ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X258:$i, 818.03/106.01 X260:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X262:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X262 @ 818.03/106.01 X258 ) => 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X262 @ 818.03/106.01 X260 ) ) ) => 818.03/106.01 ( 818.03/106.01 subset @ 818.03/106.01 X258 @ 818.03/106.01 X260 ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X264:$i]: 818.03/106.01 ( 818.03/106.01 subset @ 818.03/106.01 emptyset @ 818.03/106.01 X264 ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X266:$i, 818.03/106.01 X268:$i, 818.03/106.01 X270:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 subset @ 818.03/106.01 X266 @ 818.03/106.01 X268 ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X270 @ 818.03/106.01 X266 ) => 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X270 @ 818.03/106.01 X268 ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X272:$i, 818.03/106.01 X274:$i, 818.03/106.01 X276:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 subset @ 818.03/106.01 X272 @ 818.03/106.01 X274 ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ~( 818.03/106.01 in @ 818.03/106.01 X276 @ 818.03/106.01 X274 ) ) => 818.03/106.01 ( 818.03/106.01 ~( 818.03/106.01 in @ 818.03/106.01 X276 @ 818.03/106.01 X272 ) ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X278:$i, 818.03/106.01 X280:$i, 818.03/106.01 X282:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X282 @ 818.03/106.01 X278 ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ~( 818.03/106.01 in @ 818.03/106.01 X282 @ 818.03/106.01 X280 ) ) => 818.03/106.01 ( 818.03/106.01 ~( 818.03/106.01 subset @ 818.03/106.01 X278 @ 818.03/106.01 X280 ) ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X284:$i, 818.03/106.01 X286:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ~( 818.03/106.01 subset @ 818.03/106.01 X284 @ 818.03/106.01 X286 ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 X284 ) != 818.03/106.01 ( 818.03/106.01 X286 ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X288:$i, 818.03/106.01 X290:$i, 818.03/106.01 X292:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X292 @ 818.03/106.01 X288 ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ~( 818.03/106.01 in @ 818.03/106.01 X292 @ 818.03/106.01 X290 ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 X288 ) != 818.03/106.01 ( 818.03/106.01 X290 ) ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X294:$i]: 818.03/106.01 ( 818.03/106.01 subset @ 818.03/106.01 X294 @ 818.03/106.01 X294 ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X296:$i, 818.03/106.01 X298:$i, 818.03/106.01 X300:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 subset @ 818.03/106.01 X296 @ 818.03/106.01 X298 ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 subset @ 818.03/106.01 X298 @ 818.03/106.01 X300 ) => 818.03/106.01 ( 818.03/106.01 subset @ 818.03/106.01 X296 @ 818.03/106.01 X300 ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X302:$i, 818.03/106.01 X304:$i]: 818.03/106.01 ( 818.03/106.01 subset @ 818.03/106.01 X304 @ 818.03/106.01 ( 818.03/106.01 setadjoin 818.03/106.01 @ 818.03/106.01 X302 @ 818.03/106.01 X304 ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X306:$i, 818.03/106.01 X308:$i, 818.03/106.01 X310:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 subset @ 818.03/106.01 X306 @ 818.03/106.01 X310 ) => 818.03/106.01 ( 818.03/106.01 subset @ 818.03/106.01 X306 @ 818.03/106.01 ( 818.03/106.01 setadjoin 818.03/106.01 @ 818.03/106.01 X308 @ 818.03/106.01 X310 ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X312:$i, 818.03/106.01 X314:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 subset @ 818.03/106.01 X312 @ 818.03/106.01 X314 ) => 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X312 @ 818.03/106.01 ( 818.03/106.01 powerset @ 818.03/106.01 X314 ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X316:$i, 818.03/106.01 X318:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 subset @ 818.03/106.01 X316 @ 818.03/106.01 X318 ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 subset @ 818.03/106.01 X318 @ 818.03/106.01 X316 ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 X316 ) = 818.03/106.01 ( 818.03/106.01 X318 ) ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X320:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 subset @ 818.03/106.01 X320 @ 818.03/106.01 emptyset ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 X320 ) = 818.03/106.01 ( 818.03/106.01 emptyset ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X322:$i, 818.03/106.01 X324:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 subset @ 818.03/106.01 X324 @ 818.03/106.01 X322 ) => 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X324 @ 818.03/106.01 ( 818.03/106.01 powerset @ 818.03/106.01 X322 ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X326:$i, 818.03/106.01 X328:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X328 @ 818.03/106.01 ( 818.03/106.01 powerset @ 818.03/106.01 X326 ) ) => 818.03/106.01 ( 818.03/106.01 subset @ 818.03/106.01 X328 @ 818.03/106.01 X326 ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X330:$i]: 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X330 @ 818.03/106.01 ( 818.03/106.01 powerset @ 818.03/106.01 X330 ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X332:$i, 818.03/106.01 X334:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 subset @ 818.03/106.01 X332 @ 818.03/106.01 X334 ) => 818.03/106.01 ( 818.03/106.01 subset @ 818.03/106.01 ( 818.03/106.01 powerset @ 818.03/106.01 X332 ) @ 818.03/106.01 ( 818.03/106.01 powerset @ 818.03/106.01 X334 ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 sepInPowerset ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 sepSubset ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X336:$i, 818.03/106.01 X338:$i, 818.03/106.01 X340:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X340 @ 818.03/106.01 X336 ) => 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X340 @ 818.03/106.01 ( 818.03/106.01 binunion @ 818.03/106.01 X336 @ 818.03/106.01 X338 ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X342:$i, 818.03/106.01 X344:$i]: 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X344 @ 818.03/106.01 ( 818.03/106.01 setadjoin 818.03/106.01 @ 818.03/106.01 X342 @ 818.03/106.01 ( 818.03/106.01 setadjoin 818.03/106.01 @ 818.03/106.01 X344 @ 818.03/106.01 emptyset ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X346:$i, 818.03/106.01 X348:$i, 818.03/106.01 X350:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X350 @ 818.03/106.01 X348 ) => 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X350 @ 818.03/106.01 ( 818.03/106.01 binunion @ 818.03/106.01 X346 @ 818.03/106.01 X348 ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X352:$i, 818.03/106.01 X354:$i, 818.03/106.01 X356:$i, 818.03/106.01 X358:$o]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X356 @ 818.03/106.01 ( 818.03/106.01 binunion @ 818.03/106.01 X352 @ 818.03/106.01 X354 ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X356 @ 818.03/106.01 X352 ) => 818.03/106.01 ( 818.03/106.01 X358 ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X356 @ 818.03/106.01 X354 ) => 818.03/106.01 ( 818.03/106.01 X358 ) ) => 818.03/106.01 ( 818.03/106.01 X358 ) ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X360:$i, 818.03/106.01 X362:$i, 818.03/106.01 X364:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X364 @ 818.03/106.01 ( 818.03/106.01 binunion @ 818.03/106.01 X360 @ 818.03/106.01 X362 ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X364 @ 818.03/106.01 X360 ) | 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X364 @ 818.03/106.01 X362 ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X366:$i, 818.03/106.01 X368:$i]: 818.03/106.01 ( 818.03/106.01 subset @ 818.03/106.01 X366 @ 818.03/106.01 ( 818.03/106.01 binunion @ 818.03/106.01 X366 @ 818.03/106.01 X368 ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X370:$i, 818.03/106.01 X372:$i]: 818.03/106.01 ( 818.03/106.01 subset @ 818.03/106.01 X372 @ 818.03/106.01 ( 818.03/106.01 binunion @ 818.03/106.01 X370 @ 818.03/106.01 X372 ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 binintersectI ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 binintersectSubset5 ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 binintersectEL ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 binintersectLsub ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 binintersectSubset2 ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 binintersectSubset3 ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 binintersectER ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 disjointsetsI1 ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 binintersectRsub ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 binintersectSubset4 ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 binintersectSubset1 ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 bs114d ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X374:$i, 818.03/106.01 X376:$i, 818.03/106.01 X378:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X378 @ 818.03/106.01 X374 ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ~( 818.03/106.01 in @ 818.03/106.01 X378 @ 818.03/106.01 X376 ) ) => 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X378 @ 818.03/106.01 ( 818.03/106.01 setminus @ 818.03/106.01 X374 @ 818.03/106.01 X376 ) ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X380:$i, 818.03/106.01 X382:$i, 818.03/106.01 X384:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X384 @ 818.03/106.01 ( 818.03/106.01 setminus @ 818.03/106.01 X380 @ 818.03/106.01 X382 ) ) => 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X384 @ 818.03/106.01 X380 ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X386:$i, 818.03/106.01 X388:$i, 818.03/106.01 X390:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X390 @ 818.03/106.01 ( 818.03/106.01 setminus @ 818.03/106.01 X386 @ 818.03/106.01 X388 ) ) => 818.03/106.01 ( 818.03/106.01 ~( 818.03/106.01 in @ 818.03/106.01 X390 @ 818.03/106.01 X388 ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X392:$i, 818.03/106.01 X394:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 subset @ 818.03/106.01 X392 @ 818.03/106.01 X394 ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 setminus @ 818.03/106.01 X392 @ 818.03/106.01 X394 ) = 818.03/106.01 ( 818.03/106.01 emptyset ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X396:$i, 818.03/106.01 X398:$i, 818.03/106.01 X400:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ~( 818.03/106.01 in @ 818.03/106.01 X400 @ 818.03/106.01 ( 818.03/106.01 setminus 818.03/106.01 @ 818.03/106.01 X396 @ 818.03/106.01 X398 ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X400 @ 818.03/106.01 X396 ) => 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X400 @ 818.03/106.01 X398 ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X402:$i, 818.03/106.01 X404:$i, 818.03/106.01 X406:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ~( 818.03/106.01 in @ 818.03/106.01 X406 @ 818.03/106.01 ( 818.03/106.01 setminus 818.03/106.01 @ 818.03/106.01 X402 @ 818.03/106.01 X404 ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ~( 818.03/106.01 in @ 818.03/106.01 X406 @ 818.03/106.01 X404 ) ) => 818.03/106.01 ( 818.03/106.01 ~( 818.03/106.01 in @ 818.03/106.01 X406 @ 818.03/106.01 X402 ) ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X408:$i, 818.03/106.01 X410:$i, 818.03/106.01 X412:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ~( 818.03/106.01 in @ 818.03/106.01 X412 @ 818.03/106.01 X408 ) ) => 818.03/106.01 ( 818.03/106.01 ~( 818.03/106.01 in @ 818.03/106.01 X412 @ 818.03/106.01 ( 818.03/106.01 setminus 818.03/106.01 @ 818.03/106.01 X408 @ 818.03/106.01 X410 ) ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X414:$i, 818.03/106.01 X416:$i, 818.03/106.01 X418:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X418 @ 818.03/106.01 X416 ) => 818.03/106.01 ( 818.03/106.01 ~( 818.03/106.01 in @ 818.03/106.01 X418 @ 818.03/106.01 ( 818.03/106.01 setminus 818.03/106.01 @ 818.03/106.01 X414 @ 818.03/106.01 X416 ) ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X420:$i, 818.03/106.01 X422:$i]: 818.03/106.01 ( 818.03/106.01 subset @ 818.03/106.01 ( 818.03/106.01 setminus @ 818.03/106.01 X420 @ 818.03/106.01 X422 ) @ 818.03/106.01 X420 ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X424:$i, 818.03/106.01 X426:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 setminus @ 818.03/106.01 X424 @ 818.03/106.01 X426 ) = 818.03/106.01 ( 818.03/106.01 emptyset ) ) => 818.03/106.01 ( 818.03/106.01 subset @ 818.03/106.01 X424 @ 818.03/106.01 X426 ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 symdiffE ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 symdiffI1 ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 symdiffI2 ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 symdiffIneg1 ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 symdiffIneg2 ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X428:$i, 818.03/106.01 X430:$i]: 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X430 @ 818.03/106.01 ( 818.03/106.01 setadjoin 818.03/106.01 @ 818.03/106.01 X428 @ 818.03/106.01 ( 818.03/106.01 setadjoin 818.03/106.01 @ 818.03/106.01 X430 @ 818.03/106.01 emptyset ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 setukpairIL ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 setukpairIR ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 kpairiskpair ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 kpairp ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X432:$i, 818.03/106.01 X434:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X434 @ 818.03/106.01 X432 ) => 818.03/106.01 ( 818.03/106.01 subset @ 818.03/106.01 ( 818.03/106.01 setadjoin 818.03/106.01 @ 818.03/106.01 X434 @ 818.03/106.01 emptyset ) @ 818.03/106.01 X432 ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X436:$i, 818.03/106.01 X438:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X438 @ 818.03/106.01 X436 ) => 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 ( 818.03/106.01 setadjoin 818.03/106.01 @ 818.03/106.01 X438 @ 818.03/106.01 emptyset ) @ 818.03/106.01 ( 818.03/106.01 powerset @ 818.03/106.01 X436 ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X440:$i, 818.03/106.01 X442:$i, 818.03/106.01 X444:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X444 @ 818.03/106.01 X440 ) => 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 ( 818.03/106.01 setadjoin 818.03/106.01 @ 818.03/106.01 X444 @ 818.03/106.01 emptyset ) @ 818.03/106.01 ( 818.03/106.01 powerset @ 818.03/106.01 ( 818.03/106.01 binunion @ 818.03/106.01 X440 @ 818.03/106.01 X442 ) ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X446:$i, 818.03/106.01 X448:$i, 818.03/106.01 X450:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X450 @ 818.03/106.01 ( 818.03/106.01 setadjoin 818.03/106.01 @ 818.03/106.01 X446 @ 818.03/106.01 ( 818.03/106.01 setadjoin 818.03/106.01 @ 818.03/106.01 X448 @ 818.03/106.01 emptyset ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 X450 ) = 818.03/106.01 ( 818.03/106.01 X446 ) ) | 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 X450 ) = 818.03/106.01 ( 818.03/106.01 X448 ) ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X452:$i, 818.03/106.01 X454:$i, 818.03/106.01 X456:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X456 @ 818.03/106.01 X452 ) => 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X458:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X458 @ 818.03/106.01 X454 ) => 818.03/106.01 ( 818.03/106.01 subset @ 818.03/106.01 ( 818.03/106.01 setadjoin 818.03/106.01 @ 818.03/106.01 X456 @ 818.03/106.01 ( 818.03/106.01 setadjoin 818.03/106.01 @ 818.03/106.01 X458 @ 818.03/106.01 emptyset ) ) @ 818.03/106.01 ( 818.03/106.01 binunion @ 818.03/106.01 X452 @ 818.03/106.01 X454 ) ) ) ) ) ) => 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X460:$i, 818.03/106.01 X462:$i, 818.03/106.01 X464:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X464 @ 818.03/106.01 X460 ) => 818.03/106.01 ( 818.03/106.01 ![ 818.03/106.01 X466:$i]: 818.03/106.01 ( 818.03/106.01 ( 818.03/106.01 in @ 818.03/106.01 X466 @ 818.03/106.01 X462 ) => 818.03/106.02 ( 818.03/106.02 in @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X464 @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X466 @ 818.03/106.02 emptyset ) ) @ 818.03/106.02 ( 818.03/106.02 powerset @ 818.03/106.02 ( 818.03/106.02 binunion @ 818.03/106.02 X460 @ 818.03/106.02 X462 ) ) ) ) ) ) ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 ![ 818.03/106.02 X468:$i, 818.03/106.02 X470:$i, 818.03/106.02 X472:$i]: 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 in @ 818.03/106.02 X472 @ 818.03/106.02 X468 ) => 818.03/106.02 ( 818.03/106.02 ![ 818.03/106.02 X474:$i]: 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 in @ 818.03/106.02 X474 @ 818.03/106.02 X470 ) => 818.03/106.02 ( 818.03/106.02 subset @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X472 @ 818.03/106.02 emptyset ) @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X472 @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X474 @ 818.03/106.02 emptyset ) ) @ 818.03/106.02 emptyset ) ) @ 818.03/106.02 ( 818.03/106.02 powerset @ 818.03/106.02 ( 818.03/106.02 binunion @ 818.03/106.02 X468 @ 818.03/106.02 X470 ) ) ) ) ) ) ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 ![ 818.03/106.02 X476:$i, 818.03/106.02 X478:$i, 818.03/106.02 X480:$i]: 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 in @ 818.03/106.02 X480 @ 818.03/106.02 X476 ) => 818.03/106.02 ( 818.03/106.02 ![ 818.03/106.02 X482:$i]: 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 in @ 818.03/106.02 X482 @ 818.03/106.02 X478 ) => 818.03/106.02 ( 818.03/106.02 in @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X480 @ 818.03/106.02 emptyset ) @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X480 @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X482 @ 818.03/106.02 emptyset ) ) @ 818.03/106.02 emptyset ) ) @ 818.03/106.02 ( 818.03/106.02 powerset @ 818.03/106.02 ( 818.03/106.02 powerset @ 818.03/106.02 ( 818.03/106.02 binunion @ 818.03/106.02 X476 @ 818.03/106.02 X478 ) ) ) ) ) ) ) ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 ![ 818.03/106.02 X484:$i, 818.03/106.02 X486:$i, 818.03/106.02 X488:$i]: 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 in @ 818.03/106.02 X488 @ 818.03/106.02 X484 ) => 818.03/106.02 ( 818.03/106.02 ![ 818.03/106.02 X490:$i]: 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 in @ 818.03/106.02 X490 @ 818.03/106.02 X486 ) => 818.03/106.02 ( 818.03/106.02 in @ 818.03/106.02 ( 818.03/106.02 kpair @ 818.03/106.02 X488 @ 818.03/106.02 X490 ) @ 818.03/106.02 ( 818.03/106.02 powerset @ 818.03/106.02 ( 818.03/106.02 powerset @ 818.03/106.02 ( 818.03/106.02 binunion @ 818.03/106.02 X484 @ 818.03/106.02 X486 ) ) ) ) ) ) ) ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 cartprodpairin ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 cartprodmempair1 ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 cartprodmempair ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 setunionE2 ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 setunionsingleton1 ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 setunionsingleton2 ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 setunionsingleton ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 singletonprop ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 ex1E1 ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 ex1I ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 ex1I2 ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 ![ 818.03/106.02 X492:$i, 818.03/106.02 X494:$i]: 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X492 @ 818.03/106.02 emptyset ) = 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X494 @ 818.03/106.02 emptyset ) ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 X492 ) = 818.03/106.02 ( 818.03/106.02 X494 ) ) ) ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 ![ 818.03/106.02 X496:$i, 818.03/106.02 X498:$i, 818.03/106.02 X500:$i]: 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 in @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X500 @ 818.03/106.02 emptyset ) @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X496 @ 818.03/106.02 emptyset ) @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X496 @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X498 @ 818.03/106.02 emptyset ) ) @ 818.03/106.02 emptyset ) ) ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 X496 ) = 818.03/106.02 ( 818.03/106.02 X500 ) ) ) ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 kfstsingleton ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 theprop ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 kfstpairEq ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 cartprodfstin ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 ![ 818.03/106.02 X502:$i, 818.03/106.02 X504:$i, 818.03/106.02 X506:$i, 818.03/106.02 X508:$i]: 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X502 @ 818.03/106.02 emptyset ) @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X502 @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X504 @ 818.03/106.02 emptyset ) ) @ 818.03/106.02 emptyset ) ) = 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X506 @ 818.03/106.02 emptyset ) @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X506 @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X508 @ 818.03/106.02 emptyset ) ) @ 818.03/106.02 emptyset ) ) ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 X502 ) = 818.03/106.02 ( 818.03/106.02 X506 ) ) ) ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 ![ 818.03/106.02 X510:$i, 818.03/106.02 X512:$i, 818.03/106.02 X514:$i, 818.03/106.02 X516:$i]: 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 kpair @ 818.03/106.02 X510 @ 818.03/106.02 X512 ) = 818.03/106.02 ( 818.03/106.02 kpair @ 818.03/106.02 X514 @ 818.03/106.02 X516 ) ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 X510 ) = 818.03/106.02 ( 818.03/106.02 X514 ) ) ) ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 ![ 818.03/106.02 X518:$i, 818.03/106.02 X520:$i]: 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 X518 ) = 818.03/106.02 ( 818.03/106.02 X520 ) ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X518 @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X520 @ 818.03/106.02 emptyset ) ) = 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X518 @ 818.03/106.02 emptyset ) ) ) ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 ![ 818.03/106.02 X522:$i, 818.03/106.02 X524:$i]: 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 X522 ) = 818.03/106.02 ( 818.03/106.02 X524 ) ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X522 @ 818.03/106.02 emptyset ) @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X522 @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X524 @ 818.03/106.02 emptyset ) ) @ 818.03/106.02 emptyset ) ) = 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X522 @ 818.03/106.02 emptyset ) @ 818.03/106.02 emptyset ) ) ) ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 ![ 818.03/106.02 X526:$i, 818.03/106.02 X528:$i, 818.03/106.02 X530:$i, 818.03/106.02 X532:$i]: 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X526 @ 818.03/106.02 emptyset ) @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X526 @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X528 @ 818.03/106.02 emptyset ) ) @ 818.03/106.02 emptyset ) ) = 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X530 @ 818.03/106.02 emptyset ) @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X530 @ 818.03/106.02 ( 818.03/106.02 setadjoin 818.03/106.02 @ 818.03/106.02 X532 @ 818.03/106.02 emptyset ) ) @ 818.03/106.02 emptyset ) ) ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 X530 ) = 818.03/106.02 ( 818.03/106.02 X532 ) ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 X528 ) = 818.03/106.02 ( 818.03/106.02 X532 ) ) ) ) ) => 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 ![ 818.03/106.02 X534:$i, 818.03/106.02 X536:$i, 818.03/106.02 X538:$i]: 818.03/106.02 ( 818.03/106.02 ( 818.03/106.02 ( 818.77/106.02 setadjoin 818.77/106.02 @ 818.77/106.02 X534 @ 818.77/106.02 ( 818.77/106.02 setadjoin 818.77/106.02 @ 818.77/106.02 X536 @ 818.77/106.02 emptyset ) ) = 818.77/106.02 ( 818.77/106.02 setadjoin 818.77/106.02 @ 818.77/106.02 X538 @ 818.77/106.02 emptyset ) ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 X534 ) = 818.77/106.02 ( 818.77/106.02 X536 ) ) ) ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 ![ 818.77/106.02 X540:$i, 818.77/106.02 X542:$i, 818.77/106.02 X544:$i, 818.77/106.02 X546:$i]: 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 setadjoin 818.77/106.02 @ 818.77/106.02 ( 818.77/106.02 setadjoin 818.77/106.02 @ 818.77/106.02 X540 @ 818.77/106.02 emptyset ) @ 818.77/106.02 ( 818.77/106.02 setadjoin 818.77/106.02 @ 818.77/106.02 ( 818.77/106.02 setadjoin 818.77/106.02 @ 818.77/106.02 X540 @ 818.77/106.02 ( 818.77/106.02 setadjoin 818.77/106.02 @ 818.77/106.02 X542 @ 818.77/106.02 emptyset ) ) @ 818.77/106.02 emptyset ) ) = 818.77/106.02 ( 818.77/106.02 setadjoin 818.77/106.02 @ 818.77/106.02 ( 818.77/106.02 setadjoin 818.77/106.02 @ 818.77/106.02 X544 @ 818.77/106.02 emptyset ) @ 818.77/106.02 ( 818.77/106.02 setadjoin 818.77/106.02 @ 818.77/106.02 ( 818.77/106.02 setadjoin 818.77/106.02 @ 818.77/106.02 X544 @ 818.77/106.02 ( 818.77/106.02 setadjoin 818.77/106.02 @ 818.77/106.02 X546 @ 818.77/106.02 emptyset ) ) @ 818.77/106.02 emptyset ) ) ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 X542 ) = 818.77/106.02 ( 818.77/106.02 X546 ) ) ) ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 ![ 818.77/106.02 X548:$i, 818.77/106.02 X550:$i, 818.77/106.02 X552:$i, 818.77/106.02 X554:$i]: 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 kpair @ 818.77/106.02 X548 @ 818.77/106.02 X550 ) = 818.77/106.02 ( 818.77/106.02 kpair @ 818.77/106.02 X552 @ 818.77/106.02 X554 ) ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 X550 ) = 818.77/106.02 ( 818.77/106.02 X554 ) ) ) ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 ksndsingleton ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 ksndpairEq ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 kpairsurjEq ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 cartprodsndin ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 cartprodpairmemEL ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 cartprodpairmemER ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 ![ 818.77/106.02 X556:$i, 818.77/106.02 X558:$i, 818.77/106.02 X560:$i]: 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X560 @ 818.77/106.02 X556 ) => 818.77/106.02 ( 818.77/106.02 ![ 818.77/106.02 X562:$i]: 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X562 @ 818.77/106.02 X558 ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 kpair @ 818.77/106.02 X560 @ 818.77/106.02 X562 ) = 818.77/106.02 ( 818.77/106.02 kpair @ 818.77/106.02 X560 @ 818.77/106.02 X562 ) ) ) ) ) ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 cartprodfstpairEq ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 cartprodsndpairEq ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 cartprodpairsurjEq ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 dpsetconstrI ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 dpsetconstrSub ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 setOfPairsIsBReln ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 dpsetconstrERa ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 dpsetconstrEL1 ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 dpsetconstrEL2 ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 dpsetconstrER ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 funcImageSingleton ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 apProp ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 app ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 infuncsetfunc ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 ap2p ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 funcinfuncset ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 lamProp ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 lamp ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 lam2p ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 brelnall1 ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 brelnall2 ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 ex1E2 ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 funcGraphProp1 ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 funcGraphProp3 ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 funcGraphProp2 ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 funcextLem ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 funcGraphProp4 ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 subbreln ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 eqbreln ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 funcext ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 funcext2 ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 ap2apEq1 ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 ap2apEq2 ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 beta1 ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 eta1 ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 lam2lamEq ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 beta2 ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 eta2 ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 iffalseProp1 ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 iffalseProp2 ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 iftrueProp1 ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 iftrueProp2 ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 ifSingleton ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 ifp ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 theeq ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 iftrue ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 iffalse ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 iftrueorfalse ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 binintersectT_lem ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 ![ 818.77/106.02 X564:$i, 818.77/106.02 X566:$i]: 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X566 @ 818.77/106.02 ( 818.77/106.02 powerset @ 818.77/106.02 X564 ) ) => 818.77/106.02 ( 818.77/106.02 ![ 818.77/106.02 X568:$i]: 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X568 @ 818.77/106.02 ( 818.77/106.02 powerset @ 818.77/106.02 X564 ) ) => 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 ( 818.77/106.02 binunion @ 818.77/106.02 X566 @ 818.77/106.02 X568 ) @ 818.77/106.02 ( 818.77/106.02 powerset @ 818.77/106.02 X564 ) ) ) ) ) ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 ![ 818.77/106.02 X570:$i, 818.77/106.02 X572:$i]: 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X572 @ 818.77/106.02 ( 818.77/106.02 powerset @ 818.77/106.02 X570 ) ) => 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 ( 818.77/106.02 powerset @ 818.77/106.02 X572 ) @ 818.77/106.02 ( 818.77/106.02 powerset @ 818.77/106.02 ( 818.77/106.02 powerset @ 818.77/106.02 X570 ) ) ) ) ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 ![ 818.77/106.02 X574:$i, 818.77/106.02 X576:$i]: 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X576 @ 818.77/106.02 ( 818.77/106.02 powerset @ 818.77/106.02 X574 ) ) => 818.77/106.02 ( 818.77/106.02 ![ 818.77/106.02 X578:$i]: 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X578 @ 818.77/106.02 ( 818.77/106.02 powerset @ 818.77/106.02 X574 ) ) => 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 ( 818.77/106.02 setminus @ 818.77/106.02 X576 @ 818.77/106.02 X578 ) @ 818.77/106.02 ( 818.77/106.02 powerset @ 818.77/106.02 X574 ) ) ) ) ) ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 ![ 818.77/106.02 X580:$i, 818.77/106.02 X582:$i]: 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X582 @ 818.77/106.02 ( 818.77/106.02 powerset @ 818.77/106.02 X580 ) ) => 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 ( 818.77/106.02 setminus @ 818.77/106.02 X580 @ 818.77/106.02 X582 ) @ 818.77/106.02 ( 818.77/106.02 powerset @ 818.77/106.02 X580 ) ) ) ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 ![ 818.77/106.02 X584:$i, 818.77/106.02 X586:$i]: 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X586 @ 818.77/106.02 ( 818.77/106.02 powerset @ 818.77/106.02 X584 ) ) => 818.77/106.02 ( 818.77/106.02 ![ 818.77/106.02 X588:$i]: 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X588 @ 818.77/106.02 ( 818.77/106.02 powerset @ 818.77/106.02 X584 ) ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 ![ 818.77/106.02 X590:$i]: 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X590 @ 818.77/106.02 X584 ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X590 @ 818.77/106.02 X586 ) => 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X590 @ 818.77/106.02 X588 ) ) ) ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 ![ 818.77/106.02 X592:$i]: 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X592 @ 818.77/106.02 X584 ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X592 @ 818.77/106.02 X588 ) => 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X592 @ 818.77/106.02 X586 ) ) ) ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 X586 ) = 818.77/106.02 ( 818.77/106.02 X588 ) ) ) ) ) ) ) ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 ![ 818.77/106.02 X594:$i, 818.77/106.02 X596:$i]: 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X596 @ 818.77/106.02 ( 818.77/106.02 powerset @ 818.77/106.02 X594 ) ) => 818.77/106.02 ( 818.77/106.02 ![ 818.77/106.02 X598:$i]: 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X598 @ 818.77/106.02 ( 818.77/106.02 powerset @ 818.77/106.02 X594 ) ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 ![ 818.77/106.02 X600:$i]: 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X600 @ 818.77/106.02 X594 ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X600 @ 818.77/106.02 X596 ) => 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X600 @ 818.77/106.02 X598 ) ) ) ) => 818.77/106.02 ( 818.77/106.02 subset @ 818.77/106.02 X596 @ 818.77/106.02 X598 ) ) ) ) ) ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 ![ 818.77/106.02 X602:$i, 818.77/106.02 X604:$i]: 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X604 @ 818.77/106.02 ( 818.77/106.02 powerset @ 818.77/106.02 X602 ) ) => 818.77/106.02 ( 818.77/106.02 ![ 818.77/106.02 X606:$i]: 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X606 @ 818.77/106.02 ( 818.77/106.02 powerset @ 818.77/106.02 X602 ) ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 ![ 818.77/106.02 X608:$i]: 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X608 @ 818.77/106.02 X602 ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X608 @ 818.77/106.02 X604 ) => 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X608 @ 818.77/106.02 X606 ) ) ) ) => 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X604 @ 818.77/106.02 ( 818.77/106.02 powerset @ 818.77/106.02 X606 ) ) ) ) ) ) ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 ![ 818.77/106.02 X610:$i, 818.77/106.02 X612:$i]: 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X612 @ 818.77/106.02 ( 818.77/106.02 powerset @ 818.77/106.02 X610 ) ) => 818.77/106.02 ( 818.77/106.02 ![ 818.77/106.02 X614:$i]: 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X614 @ 818.77/106.02 ( 818.77/106.02 powerset @ 818.77/106.02 X610 ) ) => 818.77/106.02 ( 818.77/106.02 ![ 818.77/106.02 X616:$i]: 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X616 @ 818.77/106.02 X610 ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X612 @ 818.77/106.02 ( 818.77/106.02 powerset @ 818.77/106.02 X614 ) ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X616 @ 818.77/106.02 X612 ) => 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X616 @ 818.77/106.02 X614 ) ) ) ) ) ) ) ) ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 ![ 818.77/106.02 X618:$i, 818.77/106.02 X620:$i]: 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X620 @ 818.77/106.02 ( 818.77/106.02 powerset @ 818.77/106.02 X618 ) ) => 818.77/106.02 ( 818.77/106.02 ![ 818.77/106.02 X622:$i]: 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X622 @ 818.77/106.02 X618 ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X622 @ 818.77/106.02 X620 ) => 818.77/106.02 ( 818.77/106.02 ~( 818.77/106.02 in @ 818.77/106.02 X622 @ 818.77/106.02 ( 818.77/106.02 setminus 818.77/106.02 @ 818.77/106.02 X618 @ 818.77/106.02 X620 ) ) ) ) ) ) ) ) => 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 ![ 818.77/106.02 X624:$i, 818.77/106.02 X626:$i]: 818.77/106.02 ( 818.77/106.02 ( 818.77/106.02 in @ 818.77/106.02 X626 @ 818.77/106.02 ( 818.77/106.02 powerset @ 818.77/106.03 X624 ) ) => 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X628:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X628 @ 818.77/106.03 X624 ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ~( 818.77/106.03 in @ 818.77/106.03 X628 @ 818.77/106.03 ( 818.77/106.03 setminus 818.77/106.03 @ 818.77/106.03 X624 @ 818.77/106.03 X626 ) ) ) => 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X628 @ 818.77/106.03 X626 ) ) ) ) ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 binintersectTELcontra ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 binintersectTERcontra ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X630:$i, 818.77/106.03 X632:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X632 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X630 ) ) => 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X634:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X634 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X630 ) ) => 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X636:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X636 @ 818.77/106.03 X630 ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 subset @ 818.77/106.03 X632 @ 818.77/106.03 ( 818.77/106.03 setminus @ 818.77/106.03 X630 @ 818.77/106.03 X634 ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X636 @ 818.77/106.03 X634 ) => 818.77/106.03 ( 818.77/106.03 ~( 818.77/106.03 in @ 818.77/106.03 X636 @ 818.77/106.03 X632 ) ) ) ) ) ) ) ) ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X638:$i, 818.77/106.03 X640:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X640 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X638 ) ) => 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X642:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X642 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X638 ) ) => 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X644:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X644 @ 818.77/106.03 X638 ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 subset @ 818.77/106.03 X640 @ 818.77/106.03 X642 ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ~( 818.77/106.03 in @ 818.77/106.03 X644 @ 818.77/106.03 X642 ) ) => 818.77/106.03 ( 818.77/106.03 ~( 818.77/106.03 in @ 818.77/106.03 X644 @ 818.77/106.03 X640 ) ) ) ) ) ) ) ) ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X646:$i, 818.77/106.03 X648:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X648 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X646 ) ) => 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X650:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X650 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X646 ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 subset @ 818.77/106.03 X648 @ 818.77/106.03 X650 ) => 818.77/106.03 ( 818.77/106.03 subset @ 818.77/106.03 ( 818.77/106.03 setminus @ 818.77/106.03 X646 @ 818.77/106.03 X650 ) @ 818.77/106.03 ( 818.77/106.03 setminus @ 818.77/106.03 X646 @ 818.77/106.03 X648 ) ) ) ) ) ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X652:$i, 818.77/106.03 X654:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X654 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X652 ) ) => 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X656:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X656 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X652 ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 subset @ 818.77/106.03 ( 818.77/106.03 setminus @ 818.77/106.03 X652 @ 818.77/106.03 X656 ) @ 818.77/106.03 ( 818.77/106.03 setminus @ 818.77/106.03 X652 @ 818.77/106.03 X654 ) ) => 818.77/106.03 ( 818.77/106.03 subset @ 818.77/106.03 X654 @ 818.77/106.03 X656 ) ) ) ) ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X658:$i, 818.77/106.03 X660:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X660 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X658 ) ) => 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X662:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X662 @ 818.77/106.03 X658 ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X662 @ 818.77/106.03 X660 ) => 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X662 @ 818.77/106.03 ( 818.77/106.03 setminus @ 818.77/106.03 X658 @ 818.77/106.03 ( 818.77/106.03 setminus @ 818.77/106.03 X658 @ 818.77/106.03 X660 ) ) ) ) ) ) ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X664:$i, 818.77/106.03 X666:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X666 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X664 ) ) => 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X668:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X668 @ 818.77/106.03 X664 ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X668 @ 818.77/106.03 ( 818.77/106.03 setminus @ 818.77/106.03 X664 @ 818.77/106.03 ( 818.77/106.03 setminus @ 818.77/106.03 X664 @ 818.77/106.03 X666 ) ) ) => 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X668 @ 818.77/106.03 X666 ) ) ) ) ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X670:$i, 818.77/106.03 X672:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X672 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X670 ) ) => 818.77/106.03 ( 818.77/106.03 subset @ 818.77/106.03 X672 @ 818.77/106.03 ( 818.77/106.03 setminus @ 818.77/106.03 X670 @ 818.77/106.03 ( 818.77/106.03 setminus @ 818.77/106.03 X670 @ 818.77/106.03 X672 ) ) ) ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X674:$i, 818.77/106.03 X676:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X676 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X674 ) ) => 818.77/106.03 ( 818.77/106.03 subset @ 818.77/106.03 ( 818.77/106.03 setminus @ 818.77/106.03 X674 @ 818.77/106.03 ( 818.77/106.03 setminus @ 818.77/106.03 X674 @ 818.77/106.03 X676 ) ) @ 818.77/106.03 X676 ) ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X678:$i, 818.77/106.03 X680:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X680 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X678 ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 X680 ) = 818.77/106.03 ( 818.77/106.03 setminus @ 818.77/106.03 X678 @ 818.77/106.03 ( 818.77/106.03 setminus @ 818.77/106.03 X678 @ 818.77/106.03 X680 ) ) ) ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 complementTnotintersectT ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 complementImpComplementIntersect ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 complementSubsetComplementIntersect ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 complementInPowersetComplementIntersect ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X682:$i, 818.77/106.03 X684:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X684 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X682 ) ) => 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X686:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X686 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X682 ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 subset @ 818.77/106.03 X684 @ 818.77/106.03 ( 818.77/106.03 setminus @ 818.77/106.03 X682 @ 818.77/106.03 X686 ) ) => 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X688:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X688 @ 818.77/106.03 X682 ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X688 @ 818.77/106.03 X686 ) => 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X688 @ 818.77/106.03 ( 818.77/106.03 setminus @ 818.77/106.03 X682 @ 818.77/106.03 X684 ) ) ) ) ) ) ) ) ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X690:$i, 818.77/106.03 X692:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X692 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X690 ) ) => 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X694:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X694 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X690 ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 subset @ 818.77/106.03 X692 @ 818.77/106.03 ( 818.77/106.03 setminus @ 818.77/106.03 X690 @ 818.77/106.03 X694 ) ) => 818.77/106.03 ( 818.77/106.03 subset @ 818.77/106.03 X694 @ 818.77/106.03 ( 818.77/106.03 setminus @ 818.77/106.03 X690 @ 818.77/106.03 X692 ) ) ) ) ) ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X696:$i, 818.77/106.03 X698:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X698 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X696 ) ) => 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X700:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X700 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X696 ) ) => 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X702:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X702 @ 818.77/106.03 X696 ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ~( 818.77/106.03 in @ 818.77/106.03 X702 @ 818.77/106.03 ( 818.77/106.03 binunion 818.77/106.03 @ 818.77/106.03 X698 @ 818.77/106.03 X700 ) ) ) => 818.77/106.03 ( 818.77/106.03 ~( 818.77/106.03 in @ 818.77/106.03 X702 @ 818.77/106.03 X698 ) ) ) ) ) ) ) ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X704:$i, 818.77/106.03 X706:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X706 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X704 ) ) => 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X708:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X708 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X704 ) ) => 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X710:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X710 @ 818.77/106.03 X704 ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ~( 818.77/106.03 in @ 818.77/106.03 X710 @ 818.77/106.03 ( 818.77/106.03 binunion 818.77/106.03 @ 818.77/106.03 X706 @ 818.77/106.03 X708 ) ) ) => 818.77/106.03 ( 818.77/106.03 ~( 818.77/106.03 in @ 818.77/106.03 X710 @ 818.77/106.03 X708 ) ) ) ) ) ) ) ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 inIntersectImpInUnion ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 inIntersectImpInUnion2 ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 inIntersectImpInIntersectUnions ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 intersectInPowersetIntersectUnions ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X712:$i, 818.77/106.03 X714:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X714 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X712 ) ) => 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X716:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X716 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X712 ) ) => 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X718:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X718 @ 818.77/106.03 X712 ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X718 @ 818.77/106.03 ( 818.77/106.03 setminus @ 818.77/106.03 X712 @ 818.77/106.03 ( 818.77/106.03 binunion @ 818.77/106.03 X714 @ 818.77/106.03 X716 ) ) ) => 818.77/106.03 ( 818.77/106.03 ~( 818.77/106.03 in @ 818.77/106.03 X718 @ 818.77/106.03 X714 ) ) ) ) ) ) ) ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X720:$i, 818.77/106.03 X722:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X722 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X720 ) ) => 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X724:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X724 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X720 ) ) => 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X726:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X726 @ 818.77/106.03 X720 ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X726 @ 818.77/106.03 ( 818.77/106.03 setminus @ 818.77/106.03 X720 @ 818.77/106.03 ( 818.77/106.03 binunion @ 818.77/106.03 X722 @ 818.77/106.03 X724 ) ) ) => 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X726 @ 818.77/106.03 ( 818.77/106.03 setminus @ 818.77/106.03 X720 @ 818.77/106.03 X722 ) ) ) ) ) ) ) ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X728:$i, 818.77/106.03 X730:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X730 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X728 ) ) => 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X732:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X732 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X728 ) ) => 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X734:$o, 818.77/106.03 X736:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X736 @ 818.77/106.03 X728 ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X736 @ 818.77/106.03 ( 818.77/106.03 binunion @ 818.77/106.03 X730 @ 818.77/106.03 X732 ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X736 @ 818.77/106.03 X730 ) => 818.77/106.03 ( 818.77/106.03 X734 ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X736 @ 818.77/106.03 X732 ) => 818.77/106.03 ( 818.77/106.03 X734 ) ) => 818.77/106.03 ( 818.77/106.03 X734 ) ) ) ) ) ) ) ) ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X738:$i, 818.77/106.03 X740:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X740 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X738 ) ) => 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X742:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X742 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X738 ) ) => 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X744:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X744 @ 818.77/106.03 X738 ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ~( 818.77/106.03 in @ 818.77/106.03 X744 @ 818.77/106.03 X740 ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ~( 818.77/106.03 in @ 818.77/106.03 X744 @ 818.77/106.03 X742 ) ) => 818.77/106.03 ( 818.77/106.03 ~( 818.77/106.03 in @ 818.77/106.03 X744 @ 818.77/106.03 ( 818.77/106.03 binunion 818.77/106.03 @ 818.77/106.03 X740 @ 818.77/106.03 X742 ) ) ) ) ) ) ) ) ) ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X746:$i, 818.77/106.03 X748:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X748 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X746 ) ) => 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X750:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X750 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X746 ) ) => 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X752:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X752 @ 818.77/106.03 X746 ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X752 @ 818.77/106.03 ( 818.77/106.03 setminus @ 818.77/106.03 X746 @ 818.77/106.03 ( 818.77/106.03 binunion @ 818.77/106.03 X748 @ 818.77/106.03 X750 ) ) ) => 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X752 @ 818.77/106.03 ( 818.77/106.03 setminus @ 818.77/106.03 X746 @ 818.77/106.03 X748 ) ) ) ) ) ) ) ) ) => 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X754:$i, 818.77/106.03 X756:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X756 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X754 ) ) => 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X758:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X758 @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 X754 ) ) => 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 ( 818.77/106.03 setminus @ 818.77/106.03 X754 @ 818.77/106.03 ( 818.77/106.03 binunion @ 818.77/106.03 X756 @ 818.77/106.03 X758 ) ) @ 818.77/106.03 ( 818.77/106.03 powerset @ 818.77/106.03 ( 818.77/106.03 setminus @ 818.77/106.03 X754 @ 818.77/106.03 X756 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 818.77/106.03 thf(zf_stmt_6, negated_conjecture, 818.77/106.03 (~( ( ![X4:$i,X6:$i]: 818.77/106.03 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 818.77/106.03 ( ( X4 ) = ( X6 ) ) ) ) => 818.77/106.03 ( ( ![X10:$i]: ( ~( in @ X10 @ emptyset ) ) ) => 818.77/106.03 ( ( ![X12:$i,X14:$i,X16:$i]: 818.77/106.03 ( ( in @ X16 @ ( setadjoin @ X12 @ X14 ) ) <=> 818.77/106.03 ( zip_tseitin_0 @ X16 @ X14 @ X12 ) ) ) => 818.77/106.03 ( ( ![X18:$i,X20:$i]: 818.77/106.03 ( ( in @ X20 @ ( powerset @ X18 ) ) <=> 818.77/106.03 ( ![X22:$i]: ( zip_tseitin_1 @ X22 @ X20 @ X18 ) ) ) ) => 818.77/106.03 ( ( setunionAx ) => 818.77/106.03 ( ( omega0Ax ) => 818.77/106.03 ( ( omegaSAx ) => 818.77/106.03 ( ( omegaIndAx ) => 818.77/106.03 ( ( replAx ) => 818.77/106.03 ( ( ![X24:$i]: 818.77/106.03 ( ( ?[X26:$i]: ( in @ X26 @ X24 ) ) => 818.77/106.03 ( ?[X28:$i]: 818.77/106.03 ( ( ~( ?[X30:$i]: 818.77/106.03 ( ( in @ X30 @ X24 ) & 818.77/106.03 ( in @ X30 @ X28 ) ) ) ) & 818.77/106.03 ( in @ X28 @ X24 ) ) ) ) ) => 818.77/106.03 ( ( ![X32:$i]: 818.77/106.03 ( ?[X34:$i]: 818.77/106.03 ( ( ![X36:$i]: 818.77/106.03 ( ( ( ![X38:$i]: 818.77/106.03 ( ( in @ X38 @ X36 ) => 818.77/106.03 ( in @ X38 @ X32 ) ) ) & 818.77/106.03 ( ?[X40:$i]: ( in @ X40 @ X36 ) ) ) => 818.77/106.03 ( ?[X42:$i,X44:$i]: 818.77/106.03 ( ( ![X46:$i]: 818.77/106.03 ( ( in @ X46 @ X34 ) => 818.77/106.03 ( ( ![X48:$i]: 818.77/106.03 ( ( in @ X48 @ X46 ) => 818.77/106.03 ( in @ X48 @ X42 ) ) ) | 818.77/106.03 ( in @ X44 @ X46 ) ) ) ) & 818.77/106.03 ( ~( ?[X50:$i]: 818.77/106.03 ( ( in @ X50 @ X36 ) & 818.77/106.03 ( in @ X50 @ X42 ) ) ) ) & 818.77/106.03 ( in @ X44 @ X36 ) & 818.77/106.03 ( in @ X42 @ X34 ) ) ) ) ) & 818.77/106.03 ( ![X52:$i,X54:$i]: 818.77/106.03 ( ( ( in @ X52 @ X34 ) & ( in @ X54 @ X34 ) ) => 818.77/106.03 ( ( ![X56:$i]: 818.77/106.03 ( ( in @ X56 @ X52 ) => 818.77/106.03 ( in @ X56 @ X54 ) ) ) | 818.77/106.03 ( ![X58:$i]: 818.77/106.03 ( ( in @ X58 @ X54 ) => 818.77/106.03 ( in @ X58 @ X52 ) ) ) ) ) ) & 818.77/106.03 ( ![X60:$i,X62:$i]: 818.77/106.03 ( ( ( in @ X60 @ X32 ) & ( in @ X62 @ X32 ) ) => 818.77/106.03 ( ( ![X64:$i]: 818.77/106.03 ( ( in @ X64 @ X34 ) => 818.77/106.03 ( ( in @ X60 @ X64 ) <=> 818.77/106.03 ( in @ X62 @ X64 ) ) ) ) => 818.77/106.03 ( ( X60 ) = ( X62 ) ) ) ) ) & 818.77/106.03 ( ![X66:$i]: 818.77/106.03 ( ( in @ X66 @ X34 ) => 818.77/106.03 ( ![X68:$i]: 818.77/106.03 ( ( in @ X68 @ X66 ) => 818.77/106.03 ( in @ X68 @ X32 ) ) ) ) ) ) ) ) => 818.77/106.03 ( ( descrp ) => 818.77/106.03 ( ( dsetconstrI ) => 818.77/106.03 ( ( dsetconstrEL ) => 818.77/106.03 ( ( dsetconstrER ) => 818.77/106.03 ( ( exuE1 ) => 818.77/106.03 ( ( prop2setE ) => 818.77/106.03 ( ( ![X70:$i]: 818.77/106.03 ( ( in @ X70 @ emptyset ) => 818.77/106.03 ( ![X72:$o]: ( X72 ) ) ) ) => 818.77/106.03 ( ( ![X74:$i]: 818.77/106.03 ( ~( in @ X74 @ emptyset ) ) ) => 818.77/106.03 ( ( ![X76:$i]: 818.77/106.03 ( ~( in @ X76 @ emptyset ) ) ) => 818.77/106.03 ( ( exuE3e ) => 818.77/106.03 ( ( ![X78:$i,X80:$i]: 818.77/106.03 ( ( ![X82:$i]: 818.77/106.03 ( ( in @ X82 @ X78 ) => 818.77/106.03 ( in @ X82 @ X80 ) ) ) => 818.77/106.03 ( ( ![X84:$i]: 818.77/106.03 ( ( in @ X84 @ X80 ) => 818.77/106.03 ( in @ X84 @ X78 ) ) ) => 818.77/106.03 ( ( X78 ) = ( X80 ) ) ) ) ) => 818.77/106.03 ( ( ![X86:$i]: 818.77/106.03 ( ( ![X88:$i]: 818.77/106.03 ( ~( in @ X88 @ X86 ) ) ) => 818.77/106.03 ( ( X86 ) = 818.77/106.03 ( emptyset ) ) ) ) => 818.77/106.03 ( ( ![X90:$i]: 818.77/106.03 ( ( ![X92:$i]: 818.77/106.03 ( ~( in @ X92 @ X90 ) ) ) => 818.77/106.03 ( ( X90 ) = 818.77/106.03 ( emptyset ) ) ) ) => 818.77/106.03 ( ( setbeta ) => 818.77/106.03 ( ( nonemptyE1 ) => 818.77/106.03 ( ( nonemptyI ) => 818.77/106.03 ( ( nonemptyI1 ) => 818.77/106.03 ( ( ![X94:$i, 818.77/106.03 X96:$i]: 818.77/106.03 ( in @ 818.77/106.03 X94 @ 818.77/106.03 ( setadjoin 818.77/106.03 @ 818.77/106.03 X94 @ X96 ) ) ) => 818.77/106.03 ( ( in @ 818.77/106.03 emptyset @ 818.77/106.03 ( setadjoin 818.77/106.03 @ 818.77/106.03 emptyset @ 818.77/106.03 emptyset ) ) => 818.77/106.03 ( ( ![ 818.77/106.03 X98:$i, 818.77/106.03 X100:$i, 818.77/106.03 X102:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X102 @ 818.77/106.03 X100 ) => 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X102 @ 818.77/106.03 ( 818.77/106.03 setadjoin 818.77/106.03 @ 818.77/106.03 X98 @ 818.77/106.03 X100 ) ) ) ) => 818.77/106.03 ( ( 818.77/106.03 ![ 818.77/106.03 X104:$i, 818.77/106.03 X106:$i, 818.77/106.03 X108:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X108 @ 818.77/106.03 ( 818.77/106.03 setadjoin 818.77/106.03 @ 818.77/106.03 X104 @ 818.77/106.03 X106 ) ) => 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X110:$o]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 X108 ) = 818.77/106.03 ( 818.77/106.03 X104 ) ) => 818.77/106.03 ( 818.77/106.03 X110 ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X108 @ 818.77/106.03 X106 ) => 818.77/106.03 ( 818.77/106.03 X110 ) ) => 818.77/106.03 ( 818.77/106.03 X110 ) ) ) ) ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X112:$i, 818.77/106.03 X114:$i, 818.77/106.03 X116:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X116 @ 818.77/106.03 ( 818.77/106.03 setadjoin 818.77/106.03 @ 818.77/106.03 X112 @ 818.77/106.03 X114 ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 X116 ) = 818.77/106.03 ( 818.77/106.03 X112 ) ) | 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X116 @ 818.77/106.03 X114 ) ) ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 setoftrueEq ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X118:$i, 818.77/106.03 X120:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X122:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X122 @ 818.77/106.03 X120 ) => 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X122 @ 818.77/106.03 X118 ) ) ) => 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X120 @ 818.77/106.03 ( 818.77/106.03 powerset 818.77/106.03 @ 818.77/106.03 X118 ) ) ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X124:$i]: 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 emptyset @ 818.77/106.03 ( 818.77/106.03 powerset 818.77/106.03 @ 818.77/106.03 X124 ) ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X126:$i]: 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 emptyset @ 818.77/106.03 ( 818.77/106.03 powerset 818.77/106.03 @ 818.77/106.03 X126 ) ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X128:$i, 818.77/106.03 X130:$i, 818.77/106.03 X132:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X130 @ 818.77/106.03 ( 818.77/106.03 powerset 818.77/106.03 @ 818.77/106.03 X128 ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X132 @ 818.77/106.03 X130 ) => 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X132 @ 818.77/106.03 X128 ) ) ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 setunionI ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 setunionE ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 subPowSU ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 exuE2 ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 nonemptyImpWitness ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 ![ 818.77/106.03 X134:$i, 818.77/106.03 X136:$i]: 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 in @ 818.77/106.03 X134 @ 818.77/106.03 ( 818.77/106.03 setadjoin 818.77/106.03 @ 818.77/106.03 X136 @ 818.77/106.03 emptyset ) ) => 818.77/106.03 ( 818.77/106.03 ( 818.77/106.03 X134 ) = 818.77/106.03 ( 818.77/106.03 X136 ) ) ) ) => 818.77/106.03 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X138:$i, 818.77/106.04 X140:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 X138 ) != 818.77/106.04 ( 818.77/106.04 X140 ) ) => 818.77/106.04 ( 818.77/106.04 ~ 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X140 @ 818.77/106.04 ( 818.77/106.04 setadjoin 818.77/106.04 @ 818.77/106.04 X138 @ 818.77/106.04 emptyset ) ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X142:$i, 818.77/106.04 X144:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 X142 ) = 818.77/106.04 ( 818.77/106.04 X144 ) ) => 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X142 @ 818.77/106.04 ( 818.77/106.04 setadjoin 818.77/106.04 @ 818.77/106.04 X144 @ 818.77/106.04 emptyset ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X146:$i, 818.77/106.04 X148:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X146 @ 818.77/106.04 ( 818.77/106.04 setadjoin 818.77/106.04 @ 818.77/106.04 X148 @ 818.77/106.04 emptyset ) ) => 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X148 @ 818.77/106.04 ( 818.77/106.04 setadjoin 818.77/106.04 @ 818.77/106.04 X146 @ 818.77/106.04 emptyset ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X150:$i, 818.77/106.04 X152:$i, 818.77/106.04 X154:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X154 @ 818.77/106.04 ( 818.77/106.04 setadjoin 818.77/106.04 @ 818.77/106.04 X150 @ 818.77/106.04 ( 818.77/106.04 setadjoin 818.77/106.04 @ 818.77/106.04 X152 @ 818.77/106.04 emptyset ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 X154 ) = 818.77/106.04 ( 818.77/106.04 X150 ) ) | 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 X154 ) = 818.77/106.04 ( 818.77/106.04 X152 ) ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X156:$i, 818.77/106.04 X158:$i]: 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X156 @ 818.77/106.04 ( 818.77/106.04 setadjoin 818.77/106.04 @ 818.77/106.04 X156 @ 818.77/106.04 ( 818.77/106.04 setadjoin 818.77/106.04 @ 818.77/106.04 X158 @ 818.77/106.04 emptyset ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X160:$i, 818.77/106.04 X162:$i]: 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X162 @ 818.77/106.04 ( 818.77/106.04 setadjoin 818.77/106.04 @ 818.77/106.04 X160 @ 818.77/106.04 ( 818.77/106.04 setadjoin 818.77/106.04 @ 818.77/106.04 X162 @ 818.77/106.04 emptyset ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 emptyE1 ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X164:( 818.77/106.04 $i > $o ), 818.77/106.04 X166:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X166 @ 818.77/106.04 emptyset ) => 818.77/106.04 ( 818.77/106.04 X164 @ 818.77/106.04 X166 ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X168:$i, 818.77/106.04 X170:( 818.77/106.04 $i > $o )]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ~ 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X172:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X172 @ 818.77/106.04 X168 ) => 818.77/106.04 ( 818.77/106.04 X170 @ 818.77/106.04 X172 ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ?[ 818.77/106.04 X174:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ~ 818.77/106.04 ( 818.77/106.04 X170 @ 818.77/106.04 X174 ) ) & 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X174 @ 818.77/106.04 X168 ) ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X176:$i, 818.77/106.04 X178:( 818.77/106.04 $i > $o )]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X180:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X180 @ 818.77/106.04 X176 ) => 818.77/106.04 ( 818.77/106.04 ~ 818.77/106.04 ( 818.77/106.04 X178 @ 818.77/106.04 X180 ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ~ 818.77/106.04 ( 818.77/106.04 ?[ 818.77/106.04 X182:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 X178 @ 818.77/106.04 X182 ) & 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X182 @ 818.77/106.04 X176 ) ) ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X184:$i, 818.77/106.04 X186:( 818.77/106.04 $i > $o )]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ~ 818.77/106.04 ( 818.77/106.04 ?[ 818.77/106.04 X188:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 X186 @ 818.77/106.04 X188 ) & 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X188 @ 818.77/106.04 X184 ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X190:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X190 @ 818.77/106.04 X184 ) => 818.77/106.04 ( 818.77/106.04 ~ 818.77/106.04 ( 818.77/106.04 X186 @ 818.77/106.04 X190 ) ) ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X192:$i, 818.77/106.04 X194:( 818.77/106.04 $i > $o )]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ?[ 818.77/106.04 X196:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ~ 818.77/106.04 ( 818.77/106.04 X194 @ 818.77/106.04 X196 ) ) & 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X196 @ 818.77/106.04 X192 ) ) ) => 818.77/106.04 ( 818.77/106.04 ~ 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X198:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X198 @ 818.77/106.04 X192 ) => 818.77/106.04 ( 818.77/106.04 X194 @ 818.77/106.04 X198 ) ) ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 prop2setI ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 prop2set2propI ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X200:$i, 818.77/106.04 X202:( 818.77/106.04 $i > $o )]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ~ 818.77/106.04 ( 818.77/106.04 ?[ 818.77/106.04 X204:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 X202 @ 818.77/106.04 X204 ) & 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X204 @ 818.77/106.04 X200 ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X206:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X206 @ 818.77/106.04 X200 ) => 818.77/106.04 ( 818.77/106.04 ~ 818.77/106.04 ( 818.77/106.04 X202 @ 818.77/106.04 X206 ) ) ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X208:$i, 818.77/106.04 X210:( 818.77/106.04 $i > $o )]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ~ 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X212:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X212 @ 818.77/106.04 X208 ) => 818.77/106.04 ( 818.77/106.04 X210 @ 818.77/106.04 X212 ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ?[ 818.77/106.04 X214:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ~ 818.77/106.04 ( 818.77/106.04 X210 @ 818.77/106.04 X214 ) ) & 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X214 @ 818.77/106.04 X208 ) ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 exuI1 ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 exuI3 ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 exuI2 ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X216:$i, 818.77/106.04 X218:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 X216 ) = 818.77/106.04 ( 818.77/106.04 X218 ) ) => 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X220:$i, 818.77/106.04 X222:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 X220 ) = 818.77/106.04 ( 818.77/106.04 X222 ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X220 @ 818.77/106.04 X216 ) => 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X222 @ 818.77/106.04 X218 ) ) ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X224:$i, 818.77/106.04 X226:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 X224 ) = 818.77/106.04 ( 818.77/106.04 X226 ) ) => 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X228:$i, 818.77/106.04 X230:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 X228 ) = 818.77/106.04 ( 818.77/106.04 X230 ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X228 @ 818.77/106.04 X224 ) <=> 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X230 @ 818.77/106.04 X226 ) ) ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 exuE3u ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 exu__Cong ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 emptyset ) = 818.77/106.04 ( 818.77/106.04 emptyset ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X232:$i, 818.77/106.04 X234:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 X232 ) = 818.77/106.04 ( 818.77/106.04 X234 ) ) => 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X236:$i, 818.77/106.04 X238:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 X236 ) = 818.77/106.04 ( 818.77/106.04 X238 ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 setadjoin 818.77/106.04 @ 818.77/106.04 X232 @ 818.77/106.04 X236 ) = 818.77/106.04 ( 818.77/106.04 setadjoin 818.77/106.04 @ 818.77/106.04 X234 @ 818.77/106.04 X238 ) ) ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X240:$i, 818.77/106.04 X242:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 X240 ) = 818.77/106.04 ( 818.77/106.04 X242 ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 powerset 818.77/106.04 @ 818.77/106.04 X240 ) = 818.77/106.04 ( 818.77/106.04 powerset 818.77/106.04 @ 818.77/106.04 X242 ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 setunion__Cong ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 omega__Cong ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 exuEu ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 descr__Cong ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 dsetconstr__Cong ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X244:$i, 818.77/106.04 X246:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X248:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X248 @ 818.77/106.04 X244 ) => 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X248 @ 818.77/106.04 X246 ) ) ) => 818.77/106.04 ( 818.77/106.04 subset @ 818.77/106.04 X244 @ 818.77/106.04 X246 ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X250:$i, 818.77/106.04 X252:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 X250 ) = 818.77/106.04 ( 818.77/106.04 X252 ) ) => 818.77/106.04 ( 818.77/106.04 subset @ 818.77/106.04 X252 @ 818.77/106.04 X250 ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X254:$i, 818.77/106.04 X256:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 X254 ) = 818.77/106.04 ( 818.77/106.04 X256 ) ) => 818.77/106.04 ( 818.77/106.04 subset @ 818.77/106.04 X254 @ 818.77/106.04 X256 ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X258:$i, 818.77/106.04 X260:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X262:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X262 @ 818.77/106.04 X258 ) => 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X262 @ 818.77/106.04 X260 ) ) ) => 818.77/106.04 ( 818.77/106.04 subset @ 818.77/106.04 X258 @ 818.77/106.04 X260 ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X264:$i]: 818.77/106.04 ( 818.77/106.04 subset @ 818.77/106.04 emptyset @ 818.77/106.04 X264 ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X266:$i, 818.77/106.04 X268:$i, 818.77/106.04 X270:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 subset @ 818.77/106.04 X266 @ 818.77/106.04 X268 ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X270 @ 818.77/106.04 X266 ) => 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X270 @ 818.77/106.04 X268 ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X272:$i, 818.77/106.04 X274:$i, 818.77/106.04 X276:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 subset @ 818.77/106.04 X272 @ 818.77/106.04 X274 ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ~ 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X276 @ 818.77/106.04 X274 ) ) => 818.77/106.04 ( 818.77/106.04 ~ 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X276 @ 818.77/106.04 X272 ) ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X278:$i, 818.77/106.04 X280:$i, 818.77/106.04 X282:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X282 @ 818.77/106.04 X278 ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ~ 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X282 @ 818.77/106.04 X280 ) ) => 818.77/106.04 ( 818.77/106.04 ~ 818.77/106.04 ( 818.77/106.04 subset @ 818.77/106.04 X278 @ 818.77/106.04 X280 ) ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X284:$i, 818.77/106.04 X286:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ~ 818.77/106.04 ( 818.77/106.04 subset @ 818.77/106.04 X284 @ 818.77/106.04 X286 ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 X284 ) != 818.77/106.04 ( 818.77/106.04 X286 ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X288:$i, 818.77/106.04 X290:$i, 818.77/106.04 X292:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X292 @ 818.77/106.04 X288 ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ~ 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X292 @ 818.77/106.04 X290 ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 X288 ) != 818.77/106.04 ( 818.77/106.04 X290 ) ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X294:$i]: 818.77/106.04 ( 818.77/106.04 subset @ 818.77/106.04 X294 @ 818.77/106.04 X294 ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X296:$i, 818.77/106.04 X298:$i, 818.77/106.04 X300:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 subset @ 818.77/106.04 X296 @ 818.77/106.04 X298 ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 subset @ 818.77/106.04 X298 @ 818.77/106.04 X300 ) => 818.77/106.04 ( 818.77/106.04 subset @ 818.77/106.04 X296 @ 818.77/106.04 X300 ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X302:$i, 818.77/106.04 X304:$i]: 818.77/106.04 ( 818.77/106.04 subset @ 818.77/106.04 X304 @ 818.77/106.04 ( 818.77/106.04 setadjoin 818.77/106.04 @ 818.77/106.04 X302 @ 818.77/106.04 X304 ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X306:$i, 818.77/106.04 X308:$i, 818.77/106.04 X310:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 subset @ 818.77/106.04 X306 @ 818.77/106.04 X310 ) => 818.77/106.04 ( 818.77/106.04 subset @ 818.77/106.04 X306 @ 818.77/106.04 ( 818.77/106.04 setadjoin 818.77/106.04 @ 818.77/106.04 X308 @ 818.77/106.04 X310 ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X312:$i, 818.77/106.04 X314:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 subset @ 818.77/106.04 X312 @ 818.77/106.04 X314 ) => 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X312 @ 818.77/106.04 ( 818.77/106.04 powerset 818.77/106.04 @ 818.77/106.04 X314 ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X316:$i, 818.77/106.04 X318:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 subset @ 818.77/106.04 X316 @ 818.77/106.04 X318 ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 subset @ 818.77/106.04 X318 @ 818.77/106.04 X316 ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 X316 ) = 818.77/106.04 ( 818.77/106.04 X318 ) ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X320:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 subset @ 818.77/106.04 X320 @ 818.77/106.04 emptyset ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 X320 ) = 818.77/106.04 ( 818.77/106.04 emptyset ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X322:$i, 818.77/106.04 X324:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 subset @ 818.77/106.04 X324 @ 818.77/106.04 X322 ) => 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X324 @ 818.77/106.04 ( 818.77/106.04 powerset 818.77/106.04 @ 818.77/106.04 X322 ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X326:$i, 818.77/106.04 X328:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X328 @ 818.77/106.04 ( 818.77/106.04 powerset 818.77/106.04 @ 818.77/106.04 X326 ) ) => 818.77/106.04 ( 818.77/106.04 subset @ 818.77/106.04 X328 @ 818.77/106.04 X326 ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X330:$i]: 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X330 @ 818.77/106.04 ( 818.77/106.04 powerset 818.77/106.04 @ 818.77/106.04 X330 ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X332:$i, 818.77/106.04 X334:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 subset @ 818.77/106.04 X332 @ 818.77/106.04 X334 ) => 818.77/106.04 ( 818.77/106.04 subset @ 818.77/106.04 ( 818.77/106.04 powerset 818.77/106.04 @ 818.77/106.04 X332 ) @ 818.77/106.04 ( 818.77/106.04 powerset 818.77/106.04 @ 818.77/106.04 X334 ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 sepInPowerset ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 sepSubset ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X336:$i, 818.77/106.04 X338:$i, 818.77/106.04 X340:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X340 @ 818.77/106.04 X336 ) => 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X340 @ 818.77/106.04 ( 818.77/106.04 binunion 818.77/106.04 @ 818.77/106.04 X336 @ 818.77/106.04 X338 ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X342:$i, 818.77/106.04 X344:$i]: 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X344 @ 818.77/106.04 ( 818.77/106.04 setadjoin 818.77/106.04 @ 818.77/106.04 X342 @ 818.77/106.04 ( 818.77/106.04 setadjoin 818.77/106.04 @ 818.77/106.04 X344 @ 818.77/106.04 emptyset ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X346:$i, 818.77/106.04 X348:$i, 818.77/106.04 X350:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X350 @ 818.77/106.04 X348 ) => 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X350 @ 818.77/106.04 ( 818.77/106.04 binunion 818.77/106.04 @ 818.77/106.04 X346 @ 818.77/106.04 X348 ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X352:$i, 818.77/106.04 X354:$i, 818.77/106.04 X356:$i, 818.77/106.04 X358:$o]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X356 @ 818.77/106.04 ( 818.77/106.04 binunion 818.77/106.04 @ 818.77/106.04 X352 @ 818.77/106.04 X354 ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X356 @ 818.77/106.04 X352 ) => 818.77/106.04 ( 818.77/106.04 X358 ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X356 @ 818.77/106.04 X354 ) => 818.77/106.04 ( 818.77/106.04 X358 ) ) => 818.77/106.04 ( 818.77/106.04 X358 ) ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X360:$i, 818.77/106.04 X362:$i, 818.77/106.04 X364:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X364 @ 818.77/106.04 ( 818.77/106.04 binunion 818.77/106.04 @ 818.77/106.04 X360 @ 818.77/106.04 X362 ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X364 @ 818.77/106.04 X360 ) | 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X364 @ 818.77/106.04 X362 ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X366:$i, 818.77/106.04 X368:$i]: 818.77/106.04 ( 818.77/106.04 subset @ 818.77/106.04 X366 @ 818.77/106.04 ( 818.77/106.04 binunion 818.77/106.04 @ 818.77/106.04 X366 @ 818.77/106.04 X368 ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X370:$i, 818.77/106.04 X372:$i]: 818.77/106.04 ( 818.77/106.04 subset @ 818.77/106.04 X372 @ 818.77/106.04 ( 818.77/106.04 binunion 818.77/106.04 @ 818.77/106.04 X370 @ 818.77/106.04 X372 ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 binintersectI ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 binintersectSubset5 ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 binintersectEL ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 binintersectLsub ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 binintersectSubset2 ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 binintersectSubset3 ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 binintersectER ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 disjointsetsI1 ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 binintersectRsub ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 binintersectSubset4 ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 binintersectSubset1 ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 bs114d ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X374:$i, 818.77/106.04 X376:$i, 818.77/106.04 X378:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X378 @ 818.77/106.04 X374 ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ~ 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X378 @ 818.77/106.04 X376 ) ) => 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X378 @ 818.77/106.04 ( 818.77/106.04 setminus 818.77/106.04 @ 818.77/106.04 X374 @ 818.77/106.04 X376 ) ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X380:$i, 818.77/106.04 X382:$i, 818.77/106.04 X384:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X384 @ 818.77/106.04 ( 818.77/106.04 setminus 818.77/106.04 @ 818.77/106.04 X380 @ 818.77/106.04 X382 ) ) => 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X384 @ 818.77/106.04 X380 ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X386:$i, 818.77/106.04 X388:$i, 818.77/106.04 X390:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X390 @ 818.77/106.04 ( 818.77/106.04 setminus 818.77/106.04 @ 818.77/106.04 X386 @ 818.77/106.04 X388 ) ) => 818.77/106.04 ( 818.77/106.04 ~ 818.77/106.04 ( 818.77/106.04 in @ 818.77/106.04 X390 @ 818.77/106.04 X388 ) ) ) ) => 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 ![ 818.77/106.04 X392:$i, 818.77/106.04 X394:$i]: 818.77/106.04 ( 818.77/106.04 ( 818.77/106.04 subset @ 818.77/106.05 X392 @ 818.77/106.05 X394 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 setminus 818.77/106.05 @ 818.77/106.05 X392 @ 818.77/106.05 X394 ) = 818.77/106.05 ( 818.77/106.05 emptyset ) ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X396:$i, 818.77/106.05 X398:$i, 818.77/106.05 X400:$i]: 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ~ 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 X400 @ 818.77/106.05 ( 818.77/106.05 setminus 818.77/106.05 @ 818.77/106.05 X396 @ 818.77/106.05 X398 ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 X400 @ 818.77/106.05 X396 ) => 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 X400 @ 818.77/106.05 X398 ) ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X402:$i, 818.77/106.05 X404:$i, 818.77/106.05 X406:$i]: 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ~ 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 X406 @ 818.77/106.05 ( 818.77/106.05 setminus 818.77/106.05 @ 818.77/106.05 X402 @ 818.77/106.05 X404 ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ~ 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 X406 @ 818.77/106.05 X404 ) ) => 818.77/106.05 ( 818.77/106.05 ~ 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 X406 @ 818.77/106.05 X402 ) ) ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X408:$i, 818.77/106.05 X410:$i, 818.77/106.05 X412:$i]: 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ~ 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 X412 @ 818.77/106.05 X408 ) ) => 818.77/106.05 ( 818.77/106.05 ~ 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 X412 @ 818.77/106.05 ( 818.77/106.05 setminus 818.77/106.05 @ 818.77/106.05 X408 @ 818.77/106.05 X410 ) ) ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X414:$i, 818.77/106.05 X416:$i, 818.77/106.05 X418:$i]: 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 X418 @ 818.77/106.05 X416 ) => 818.77/106.05 ( 818.77/106.05 ~ 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 X418 @ 818.77/106.05 ( 818.77/106.05 setminus 818.77/106.05 @ 818.77/106.05 X414 @ 818.77/106.05 X416 ) ) ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X420:$i, 818.77/106.05 X422:$i]: 818.77/106.05 ( 818.77/106.05 subset @ 818.77/106.05 ( 818.77/106.05 setminus 818.77/106.05 @ 818.77/106.05 X420 @ 818.77/106.05 X422 ) @ 818.77/106.05 X420 ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X424:$i, 818.77/106.05 X426:$i]: 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 setminus 818.77/106.05 @ 818.77/106.05 X424 @ 818.77/106.05 X426 ) = 818.77/106.05 ( 818.77/106.05 emptyset ) ) => 818.77/106.05 ( 818.77/106.05 subset @ 818.77/106.05 X424 @ 818.77/106.05 X426 ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 symdiffE ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 symdiffI1 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 symdiffI2 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 symdiffIneg1 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 symdiffIneg2 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X428:$i, 818.77/106.05 X430:$i]: 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 X430 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X428 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X430 @ 818.77/106.05 emptyset ) ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 setukpairIL ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 setukpairIR ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 kpairiskpair ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 kpairp ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X432:$i, 818.77/106.05 X434:$i]: 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 X434 @ 818.77/106.05 X432 ) => 818.77/106.05 ( 818.77/106.05 subset @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X434 @ 818.77/106.05 emptyset ) @ 818.77/106.05 X432 ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X436:$i, 818.77/106.05 X438:$i]: 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 X438 @ 818.77/106.05 X436 ) => 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X438 @ 818.77/106.05 emptyset ) @ 818.77/106.05 ( 818.77/106.05 powerset 818.77/106.05 @ 818.77/106.05 X436 ) ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X440:$i, 818.77/106.05 X442:$i, 818.77/106.05 X444:$i]: 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 X444 @ 818.77/106.05 X440 ) => 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X444 @ 818.77/106.05 emptyset ) @ 818.77/106.05 ( 818.77/106.05 powerset 818.77/106.05 @ 818.77/106.05 ( 818.77/106.05 binunion 818.77/106.05 @ 818.77/106.05 X440 @ 818.77/106.05 X442 ) ) ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X446:$i, 818.77/106.05 X448:$i, 818.77/106.05 X450:$i]: 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 X450 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X446 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X448 @ 818.77/106.05 emptyset ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 X450 ) = 818.77/106.05 ( 818.77/106.05 X446 ) ) | 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 X450 ) = 818.77/106.05 ( 818.77/106.05 X448 ) ) ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X452:$i, 818.77/106.05 X454:$i, 818.77/106.05 X456:$i]: 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 X456 @ 818.77/106.05 X452 ) => 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X458:$i]: 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 X458 @ 818.77/106.05 X454 ) => 818.77/106.05 ( 818.77/106.05 subset @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X456 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X458 @ 818.77/106.05 emptyset ) ) @ 818.77/106.05 ( 818.77/106.05 binunion 818.77/106.05 @ 818.77/106.05 X452 @ 818.77/106.05 X454 ) ) ) ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X460:$i, 818.77/106.05 X462:$i, 818.77/106.05 X464:$i]: 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 X464 @ 818.77/106.05 X460 ) => 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X466:$i]: 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 X466 @ 818.77/106.05 X462 ) => 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X464 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X466 @ 818.77/106.05 emptyset ) ) @ 818.77/106.05 ( 818.77/106.05 powerset 818.77/106.05 @ 818.77/106.05 ( 818.77/106.05 binunion 818.77/106.05 @ 818.77/106.05 X460 @ 818.77/106.05 X462 ) ) ) ) ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X468:$i, 818.77/106.05 X470:$i, 818.77/106.05 X472:$i]: 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 X472 @ 818.77/106.05 X468 ) => 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X474:$i]: 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 X474 @ 818.77/106.05 X470 ) => 818.77/106.05 ( 818.77/106.05 subset @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X472 @ 818.77/106.05 emptyset ) @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X472 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X474 @ 818.77/106.05 emptyset ) ) @ 818.77/106.05 emptyset ) ) @ 818.77/106.05 ( 818.77/106.05 powerset 818.77/106.05 @ 818.77/106.05 ( 818.77/106.05 binunion 818.77/106.05 @ 818.77/106.05 X468 @ 818.77/106.05 X470 ) ) ) ) ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X476:$i, 818.77/106.05 X478:$i, 818.77/106.05 X480:$i]: 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 X480 @ 818.77/106.05 X476 ) => 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X482:$i]: 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 X482 @ 818.77/106.05 X478 ) => 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X480 @ 818.77/106.05 emptyset ) @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X480 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X482 @ 818.77/106.05 emptyset ) ) @ 818.77/106.05 emptyset ) ) @ 818.77/106.05 ( 818.77/106.05 powerset 818.77/106.05 @ 818.77/106.05 ( 818.77/106.05 powerset 818.77/106.05 @ 818.77/106.05 ( 818.77/106.05 binunion 818.77/106.05 @ 818.77/106.05 X476 @ 818.77/106.05 X478 ) ) ) ) ) ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X484:$i, 818.77/106.05 X486:$i, 818.77/106.05 X488:$i]: 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 X488 @ 818.77/106.05 X484 ) => 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X490:$i]: 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 X490 @ 818.77/106.05 X486 ) => 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 ( 818.77/106.05 kpair @ 818.77/106.05 X488 @ 818.77/106.05 X490 ) @ 818.77/106.05 ( 818.77/106.05 powerset 818.77/106.05 @ 818.77/106.05 ( 818.77/106.05 powerset 818.77/106.05 @ 818.77/106.05 ( 818.77/106.05 binunion 818.77/106.05 @ 818.77/106.05 X484 @ 818.77/106.05 X486 ) ) ) ) ) ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 cartprodpairin ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 cartprodmempair1 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 cartprodmempair ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 setunionE2 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 setunionsingleton1 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 setunionsingleton2 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 setunionsingleton ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 singletonprop ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ex1E1 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ex1I ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ex1I2 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X492:$i, 818.77/106.05 X494:$i]: 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X492 @ 818.77/106.05 emptyset ) = 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X494 @ 818.77/106.05 emptyset ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 X492 ) = 818.77/106.05 ( 818.77/106.05 X494 ) ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X496:$i, 818.77/106.05 X498:$i, 818.77/106.05 X500:$i]: 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X500 @ 818.77/106.05 emptyset ) @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X496 @ 818.77/106.05 emptyset ) @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X496 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X498 @ 818.77/106.05 emptyset ) ) @ 818.77/106.05 emptyset ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 X496 ) = 818.77/106.05 ( 818.77/106.05 X500 ) ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 kfstsingleton ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 theprop ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 kfstpairEq ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 cartprodfstin ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X502:$i, 818.77/106.05 X504:$i, 818.77/106.05 X506:$i, 818.77/106.05 X508:$i]: 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X502 @ 818.77/106.05 emptyset ) @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X502 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X504 @ 818.77/106.05 emptyset ) ) @ 818.77/106.05 emptyset ) ) = 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X506 @ 818.77/106.05 emptyset ) @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X506 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X508 @ 818.77/106.05 emptyset ) ) @ 818.77/106.05 emptyset ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 X502 ) = 818.77/106.05 ( 818.77/106.05 X506 ) ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X510:$i, 818.77/106.05 X512:$i, 818.77/106.05 X514:$i, 818.77/106.05 X516:$i]: 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 kpair @ 818.77/106.05 X510 @ 818.77/106.05 X512 ) = 818.77/106.05 ( 818.77/106.05 kpair @ 818.77/106.05 X514 @ 818.77/106.05 X516 ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 X510 ) = 818.77/106.05 ( 818.77/106.05 X514 ) ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X518:$i, 818.77/106.05 X520:$i]: 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 X518 ) = 818.77/106.05 ( 818.77/106.05 X520 ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X518 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X520 @ 818.77/106.05 emptyset ) ) = 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X518 @ 818.77/106.05 emptyset ) ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X522:$i, 818.77/106.05 X524:$i]: 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 X522 ) = 818.77/106.05 ( 818.77/106.05 X524 ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X522 @ 818.77/106.05 emptyset ) @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X522 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X524 @ 818.77/106.05 emptyset ) ) @ 818.77/106.05 emptyset ) ) = 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X522 @ 818.77/106.05 emptyset ) @ 818.77/106.05 emptyset ) ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X526:$i, 818.77/106.05 X528:$i, 818.77/106.05 X530:$i, 818.77/106.05 X532:$i]: 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X526 @ 818.77/106.05 emptyset ) @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X526 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X528 @ 818.77/106.05 emptyset ) ) @ 818.77/106.05 emptyset ) ) = 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X530 @ 818.77/106.05 emptyset ) @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X530 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X532 @ 818.77/106.05 emptyset ) ) @ 818.77/106.05 emptyset ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 X530 ) = 818.77/106.05 ( 818.77/106.05 X532 ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 X528 ) = 818.77/106.05 ( 818.77/106.05 X532 ) ) ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X534:$i, 818.77/106.05 X536:$i, 818.77/106.05 X538:$i]: 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X534 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X536 @ 818.77/106.05 emptyset ) ) = 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X538 @ 818.77/106.05 emptyset ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 X534 ) = 818.77/106.05 ( 818.77/106.05 X536 ) ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X540:$i, 818.77/106.05 X542:$i, 818.77/106.05 X544:$i, 818.77/106.05 X546:$i]: 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X540 @ 818.77/106.05 emptyset ) @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X540 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X542 @ 818.77/106.05 emptyset ) ) @ 818.77/106.05 emptyset ) ) = 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X544 @ 818.77/106.05 emptyset ) @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X544 @ 818.77/106.05 ( 818.77/106.05 setadjoin 818.77/106.05 @ 818.77/106.05 X546 @ 818.77/106.05 emptyset ) ) @ 818.77/106.05 emptyset ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 X542 ) = 818.77/106.05 ( 818.77/106.05 X546 ) ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X548:$i, 818.77/106.05 X550:$i, 818.77/106.05 X552:$i, 818.77/106.05 X554:$i]: 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 kpair @ 818.77/106.05 X548 @ 818.77/106.05 X550 ) = 818.77/106.05 ( 818.77/106.05 kpair @ 818.77/106.05 X552 @ 818.77/106.05 X554 ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 X550 ) = 818.77/106.05 ( 818.77/106.05 X554 ) ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ksndsingleton ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ksndpairEq ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 kpairsurjEq ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 cartprodsndin ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 cartprodpairmemEL ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 cartprodpairmemER ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X556:$i, 818.77/106.05 X558:$i, 818.77/106.05 X560:$i]: 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 X560 @ 818.77/106.05 X556 ) => 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X562:$i]: 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 in @ 818.77/106.05 X562 @ 818.77/106.05 X558 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 kpair @ 818.77/106.05 X560 @ 818.77/106.05 X562 ) = 818.77/106.05 ( 818.77/106.05 kpair @ 818.77/106.05 X560 @ 818.77/106.05 X562 ) ) ) ) ) ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 cartprodfstpairEq ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 cartprodsndpairEq ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 cartprodpairsurjEq ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 dpsetconstrI ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 dpsetconstrSub ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 setOfPairsIsBReln ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 dpsetconstrERa ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 dpsetconstrEL1 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 dpsetconstrEL2 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 dpsetconstrER ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 funcImageSingleton ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 apProp ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 app ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 infuncsetfunc ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ap2p ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 funcinfuncset ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 lamProp ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 lamp ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 lam2p ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 brelnall1 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 brelnall2 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ex1E2 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 funcGraphProp1 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 funcGraphProp3 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 funcGraphProp2 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 funcextLem ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 funcGraphProp4 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 subbreln ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 eqbreln ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 funcext ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 funcext2 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ap2apEq1 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ap2apEq2 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 beta1 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 eta1 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 lam2lamEq ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 beta2 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 eta2 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 iffalseProp1 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 iffalseProp2 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 iftrueProp1 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 iftrueProp2 ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ifSingleton ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ifp ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 theeq ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 iftrue ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 iffalse ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 iftrueorfalse ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 binintersectT_lem ) => 818.77/106.05 ( 818.77/106.05 ( 818.77/106.05 ![ 818.77/106.05 X564:$i, 818.77/106.05 X566:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X566 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X564 ) ) => 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X568:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X568 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X564 ) ) => 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 ( 818.77/106.06 binunion 818.77/106.06 @ 818.77/106.06 X566 @ 818.77/106.06 X568 ) @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X564 ) ) ) ) ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X570:$i, 818.77/106.06 X572:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X572 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X570 ) ) => 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X572 ) @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X570 ) ) ) ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X574:$i, 818.77/106.06 X576:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X576 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X574 ) ) => 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X578:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X578 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X574 ) ) => 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 ( 818.77/106.06 setminus 818.77/106.06 @ 818.77/106.06 X576 @ 818.77/106.06 X578 ) @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X574 ) ) ) ) ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X580:$i, 818.77/106.06 X582:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X582 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X580 ) ) => 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 ( 818.77/106.06 setminus 818.77/106.06 @ 818.77/106.06 X580 @ 818.77/106.06 X582 ) @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X580 ) ) ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X584:$i, 818.77/106.06 X586:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X586 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X584 ) ) => 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X588:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X588 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X584 ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X590:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X590 @ 818.77/106.06 X584 ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X590 @ 818.77/106.06 X586 ) => 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X590 @ 818.77/106.06 X588 ) ) ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X592:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X592 @ 818.77/106.06 X584 ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X592 @ 818.77/106.06 X588 ) => 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X592 @ 818.77/106.06 X586 ) ) ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 X586 ) = 818.77/106.06 ( 818.77/106.06 X588 ) ) ) ) ) ) ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X594:$i, 818.77/106.06 X596:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X596 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X594 ) ) => 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X598:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X598 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X594 ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X600:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X600 @ 818.77/106.06 X594 ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X600 @ 818.77/106.06 X596 ) => 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X600 @ 818.77/106.06 X598 ) ) ) ) => 818.77/106.06 ( 818.77/106.06 subset @ 818.77/106.06 X596 @ 818.77/106.06 X598 ) ) ) ) ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X602:$i, 818.77/106.06 X604:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X604 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X602 ) ) => 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X606:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X606 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X602 ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X608:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X608 @ 818.77/106.06 X602 ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X608 @ 818.77/106.06 X604 ) => 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X608 @ 818.77/106.06 X606 ) ) ) ) => 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X604 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X606 ) ) ) ) ) ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X610:$i, 818.77/106.06 X612:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X612 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X610 ) ) => 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X614:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X614 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X610 ) ) => 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X616:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X616 @ 818.77/106.06 X610 ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X612 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X614 ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X616 @ 818.77/106.06 X612 ) => 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X616 @ 818.77/106.06 X614 ) ) ) ) ) ) ) ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X618:$i, 818.77/106.06 X620:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X620 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X618 ) ) => 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X622:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X622 @ 818.77/106.06 X618 ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X622 @ 818.77/106.06 X620 ) => 818.77/106.06 ( 818.77/106.06 ~ 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X622 @ 818.77/106.06 ( 818.77/106.06 setminus 818.77/106.06 @ 818.77/106.06 X618 @ 818.77/106.06 X620 ) ) ) ) ) ) ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X624:$i, 818.77/106.06 X626:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X626 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X624 ) ) => 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X628:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X628 @ 818.77/106.06 X624 ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 ~ 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X628 @ 818.77/106.06 ( 818.77/106.06 setminus 818.77/106.06 @ 818.77/106.06 X624 @ 818.77/106.06 X626 ) ) ) => 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X628 @ 818.77/106.06 X626 ) ) ) ) ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 binintersectTELcontra ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 binintersectTERcontra ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X630:$i, 818.77/106.06 X632:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X632 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X630 ) ) => 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X634:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X634 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X630 ) ) => 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X636:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X636 @ 818.77/106.06 X630 ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 subset @ 818.77/106.06 X632 @ 818.77/106.06 ( 818.77/106.06 setminus 818.77/106.06 @ 818.77/106.06 X630 @ 818.77/106.06 X634 ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X636 @ 818.77/106.06 X634 ) => 818.77/106.06 ( 818.77/106.06 ~ 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X636 @ 818.77/106.06 X632 ) ) ) ) ) ) ) ) ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X638:$i, 818.77/106.06 X640:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X640 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X638 ) ) => 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X642:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X642 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X638 ) ) => 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X644:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X644 @ 818.77/106.06 X638 ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 subset @ 818.77/106.06 X640 @ 818.77/106.06 X642 ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 ~ 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X644 @ 818.77/106.06 X642 ) ) => 818.77/106.06 ( 818.77/106.06 ~ 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X644 @ 818.77/106.06 X640 ) ) ) ) ) ) ) ) ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X646:$i, 818.77/106.06 X648:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X648 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X646 ) ) => 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X650:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X650 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X646 ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 subset @ 818.77/106.06 X648 @ 818.77/106.06 X650 ) => 818.77/106.06 ( 818.77/106.06 subset @ 818.77/106.06 ( 818.77/106.06 setminus 818.77/106.06 @ 818.77/106.06 X646 @ 818.77/106.06 X650 ) @ 818.77/106.06 ( 818.77/106.06 setminus 818.77/106.06 @ 818.77/106.06 X646 @ 818.77/106.06 X648 ) ) ) ) ) ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X652:$i, 818.77/106.06 X654:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X654 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X652 ) ) => 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X656:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X656 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X652 ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 subset @ 818.77/106.06 ( 818.77/106.06 setminus 818.77/106.06 @ 818.77/106.06 X652 @ 818.77/106.06 X656 ) @ 818.77/106.06 ( 818.77/106.06 setminus 818.77/106.06 @ 818.77/106.06 X652 @ 818.77/106.06 X654 ) ) => 818.77/106.06 ( 818.77/106.06 subset @ 818.77/106.06 X654 @ 818.77/106.06 X656 ) ) ) ) ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X658:$i, 818.77/106.06 X660:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X660 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X658 ) ) => 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X662:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X662 @ 818.77/106.06 X658 ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X662 @ 818.77/106.06 X660 ) => 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X662 @ 818.77/106.06 ( 818.77/106.06 setminus 818.77/106.06 @ 818.77/106.06 X658 @ 818.77/106.06 ( 818.77/106.06 setminus 818.77/106.06 @ 818.77/106.06 X658 @ 818.77/106.06 X660 ) ) ) ) ) ) ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X664:$i, 818.77/106.06 X666:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X666 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X664 ) ) => 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X668:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X668 @ 818.77/106.06 X664 ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X668 @ 818.77/106.06 ( 818.77/106.06 setminus 818.77/106.06 @ 818.77/106.06 X664 @ 818.77/106.06 ( 818.77/106.06 setminus 818.77/106.06 @ 818.77/106.06 X664 @ 818.77/106.06 X666 ) ) ) => 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X668 @ 818.77/106.06 X666 ) ) ) ) ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X670:$i, 818.77/106.06 X672:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X672 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X670 ) ) => 818.77/106.06 ( 818.77/106.06 subset @ 818.77/106.06 X672 @ 818.77/106.06 ( 818.77/106.06 setminus 818.77/106.06 @ 818.77/106.06 X670 @ 818.77/106.06 ( 818.77/106.06 setminus 818.77/106.06 @ 818.77/106.06 X670 @ 818.77/106.06 X672 ) ) ) ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X674:$i, 818.77/106.06 X676:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X676 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X674 ) ) => 818.77/106.06 ( 818.77/106.06 subset @ 818.77/106.06 ( 818.77/106.06 setminus 818.77/106.06 @ 818.77/106.06 X674 @ 818.77/106.06 ( 818.77/106.06 setminus 818.77/106.06 @ 818.77/106.06 X674 @ 818.77/106.06 X676 ) ) @ 818.77/106.06 X676 ) ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X678:$i, 818.77/106.06 X680:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X680 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X678 ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 X680 ) = 818.77/106.06 ( 818.77/106.06 setminus 818.77/106.06 @ 818.77/106.06 X678 @ 818.77/106.06 ( 818.77/106.06 setminus 818.77/106.06 @ 818.77/106.06 X678 @ 818.77/106.06 X680 ) ) ) ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 complementTnotintersectT ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 complementImpComplementIntersect ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 complementSubsetComplementIntersect ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 complementInPowersetComplementIntersect ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X682:$i, 818.77/106.06 X684:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X684 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X682 ) ) => 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X686:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X686 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X682 ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 subset @ 818.77/106.06 X684 @ 818.77/106.06 ( 818.77/106.06 setminus 818.77/106.06 @ 818.77/106.06 X682 @ 818.77/106.06 X686 ) ) => 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X688:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X688 @ 818.77/106.06 X682 ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X688 @ 818.77/106.06 X686 ) => 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X688 @ 818.77/106.06 ( 818.77/106.06 setminus 818.77/106.06 @ 818.77/106.06 X682 @ 818.77/106.06 X684 ) ) ) ) ) ) ) ) ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X690:$i, 818.77/106.06 X692:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X692 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X690 ) ) => 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X694:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X694 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X690 ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 subset @ 818.77/106.06 X692 @ 818.77/106.06 ( 818.77/106.06 setminus 818.77/106.06 @ 818.77/106.06 X690 @ 818.77/106.06 X694 ) ) => 818.77/106.06 ( 818.77/106.06 subset @ 818.77/106.06 X694 @ 818.77/106.06 ( 818.77/106.06 setminus 818.77/106.06 @ 818.77/106.06 X690 @ 818.77/106.06 X692 ) ) ) ) ) ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X696:$i, 818.77/106.06 X698:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X698 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X696 ) ) => 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X700:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X700 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X696 ) ) => 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X702:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X702 @ 818.77/106.06 X696 ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 ~ 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X702 @ 818.77/106.06 ( 818.77/106.06 binunion 818.77/106.06 @ 818.77/106.06 X698 @ 818.77/106.06 X700 ) ) ) => 818.77/106.06 ( 818.77/106.06 ~ 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X702 @ 818.77/106.06 X698 ) ) ) ) ) ) ) ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X704:$i, 818.77/106.06 X706:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X706 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X704 ) ) => 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X708:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X708 @ 818.77/106.06 ( 818.77/106.06 powerset 818.77/106.06 @ 818.77/106.06 X704 ) ) => 818.77/106.06 ( 818.77/106.06 ![ 818.77/106.06 X710:$i]: 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X710 @ 818.77/106.06 X704 ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 ~ 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X710 @ 818.77/106.06 ( 818.77/106.06 binunion 818.77/106.06 @ 818.77/106.06 X706 @ 818.77/106.06 X708 ) ) ) => 818.77/106.06 ( 818.77/106.06 ~ 818.77/106.06 ( 818.77/106.06 in @ 818.77/106.06 X710 @ 818.77/106.06 X708 ) ) ) ) ) ) ) ) ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 inIntersectImpInUnion ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 inIntersectImpInUnion2 ) => 818.77/106.06 ( 818.77/106.06 ( 818.77/106.06 inIntersectImpInIntersectUnions ) => 818.77/106.06 ( 818.77/106.07 ( 818.77/106.07 intersectInPowersetIntersectUnions ) => 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 ![ 818.77/106.07 X712:$i, 818.77/106.07 X714:$i]: 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 in @ 818.77/106.07 X714 @ 818.77/106.07 ( 818.77/106.07 powerset 818.77/106.07 @ 818.77/106.07 X712 ) ) => 818.77/106.07 ( 818.77/106.07 ![ 818.77/106.07 X716:$i]: 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 in @ 818.77/106.07 X716 @ 818.77/106.07 ( 818.77/106.07 powerset 818.77/106.07 @ 818.77/106.07 X712 ) ) => 818.77/106.07 ( 818.77/106.07 ![ 818.77/106.07 X718:$i]: 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 in @ 818.77/106.07 X718 @ 818.77/106.07 X712 ) => 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 in @ 818.77/106.07 X718 @ 818.77/106.07 ( 818.77/106.07 setminus 818.77/106.07 @ 818.77/106.07 X712 @ 818.77/106.07 ( 818.77/106.07 binunion 818.77/106.07 @ 818.77/106.07 X714 @ 818.77/106.07 X716 ) ) ) => 818.77/106.07 ( 818.77/106.07 ~ 818.77/106.07 ( 818.77/106.07 in @ 818.77/106.07 X718 @ 818.77/106.07 X714 ) ) ) ) ) ) ) ) ) => 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 ![ 818.77/106.07 X720:$i, 818.77/106.07 X722:$i]: 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 in @ 818.77/106.07 X722 @ 818.77/106.07 ( 818.77/106.07 powerset 818.77/106.07 @ 818.77/106.07 X720 ) ) => 818.77/106.07 ( 818.77/106.07 ![ 818.77/106.07 X724:$i]: 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 in @ 818.77/106.07 X724 @ 818.77/106.07 ( 818.77/106.07 powerset 818.77/106.07 @ 818.77/106.07 X720 ) ) => 818.77/106.07 ( 818.77/106.07 ![ 818.77/106.07 X726:$i]: 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 in @ 818.77/106.07 X726 @ 818.77/106.07 X720 ) => 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 in @ 818.77/106.07 X726 @ 818.77/106.07 ( 818.77/106.07 setminus 818.77/106.07 @ 818.77/106.07 X720 @ 818.77/106.07 ( 818.77/106.07 binunion 818.77/106.07 @ 818.77/106.07 X722 @ 818.77/106.07 X724 ) ) ) => 818.77/106.07 ( 818.77/106.07 in @ 818.77/106.07 X726 @ 818.77/106.07 ( 818.77/106.07 setminus 818.77/106.07 @ 818.77/106.07 X720 @ 818.77/106.07 X722 ) ) ) ) ) ) ) ) ) => 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 ![ 818.77/106.07 X728:$i, 818.77/106.07 X730:$i]: 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 in @ 818.77/106.07 X730 @ 818.77/106.07 ( 818.77/106.07 powerset 818.77/106.07 @ 818.77/106.07 X728 ) ) => 818.77/106.07 ( 818.77/106.07 ![ 818.77/106.07 X732:$i]: 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 in @ 818.77/106.07 X732 @ 818.77/106.07 ( 818.77/106.07 powerset 818.77/106.07 @ 818.77/106.07 X728 ) ) => 818.77/106.07 ( 818.77/106.07 ![ 818.77/106.07 X734:$o, 818.77/106.07 X736:$i]: 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 in @ 818.77/106.07 X736 @ 818.77/106.07 X728 ) => 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 in @ 818.77/106.07 X736 @ 818.77/106.07 ( 818.77/106.07 binunion 818.77/106.07 @ 818.77/106.07 X730 @ 818.77/106.07 X732 ) ) => 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 in @ 818.77/106.07 X736 @ 818.77/106.07 X730 ) => 818.77/106.07 ( 818.77/106.07 X734 ) ) => 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 in @ 818.77/106.07 X736 @ 818.77/106.07 X732 ) => 818.77/106.07 ( 818.77/106.07 X734 ) ) => 818.77/106.07 ( 818.77/106.07 X734 ) ) ) ) ) ) ) ) ) ) => 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 ![ 818.77/106.07 X738:$i, 818.77/106.07 X740:$i]: 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 in @ 818.77/106.07 X740 @ 818.77/106.07 ( 818.77/106.07 powerset 818.77/106.07 @ 818.77/106.07 X738 ) ) => 818.77/106.07 ( 818.77/106.07 ![ 818.77/106.07 X742:$i]: 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 in @ 818.77/106.07 X742 @ 818.77/106.07 ( 818.77/106.07 powerset 818.77/106.07 @ 818.77/106.07 X738 ) ) => 818.77/106.07 ( 818.77/106.07 ![ 818.77/106.07 X744:$i]: 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 in @ 818.77/106.07 X744 @ 818.77/106.07 X738 ) => 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 ~ 818.77/106.07 ( 818.77/106.07 in @ 818.77/106.07 X744 @ 818.77/106.07 X740 ) ) => 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 ~ 818.77/106.07 ( 818.77/106.07 in @ 818.77/106.07 X744 @ 818.77/106.07 X742 ) ) => 818.77/106.07 ( 818.77/106.07 ~ 818.77/106.07 ( 818.77/106.07 in @ 818.77/106.07 X744 @ 818.77/106.07 ( 818.77/106.07 binunion 818.77/106.07 @ 818.77/106.07 X740 @ 818.77/106.07 X742 ) ) ) ) ) ) ) ) ) ) ) => 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 ![ 818.77/106.07 X746:$i, 818.77/106.07 X748:$i]: 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 in @ 818.77/106.07 X748 @ 818.77/106.07 ( 818.77/106.07 powerset 818.77/106.07 @ 818.77/106.07 X746 ) ) => 818.77/106.07 ( 818.77/106.07 ![ 818.77/106.07 X750:$i]: 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 in @ 818.77/106.07 X750 @ 818.77/106.07 ( 818.77/106.07 powerset 818.77/106.07 @ 818.77/106.07 X746 ) ) => 818.77/106.07 ( 818.77/106.07 ![ 818.77/106.07 X752:$i]: 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 in @ 818.77/106.07 X752 @ 818.77/106.07 X746 ) => 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 in @ 818.77/106.07 X752 @ 818.77/106.07 ( 818.77/106.07 setminus 818.77/106.07 @ 818.77/106.07 X746 @ 818.77/106.07 ( 818.77/106.07 binunion 818.77/106.07 @ 818.77/106.07 X748 @ 818.77/106.07 X750 ) ) ) => 818.77/106.07 ( 818.77/106.07 in @ 818.77/106.07 X752 @ 818.77/106.07 ( 818.77/106.07 setminus 818.77/106.07 @ 818.77/106.07 X746 @ 818.77/106.07 X748 ) ) ) ) ) ) ) ) ) => 818.77/106.07 ( 818.77/106.07 ![ 818.77/106.07 X754:$i, 818.77/106.07 X756:$i]: 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 in @ 818.77/106.07 X756 @ 818.77/106.07 ( 818.77/106.07 powerset 818.77/106.07 @ 818.77/106.07 X754 ) ) => 818.77/106.07 ( 818.77/106.07 ![ 818.77/106.07 X758:$i]: 818.77/106.07 ( 818.77/106.07 ( 818.77/106.07 in @ 818.77/106.07 X758 @ 818.77/106.07 ( 818.77/106.07 powerset 818.77/106.07 @ 818.77/106.07 X754 ) ) => 818.77/106.07 ( 818.77/106.07 in @ 818.77/106.07 ( 818.77/106.07 setminus 818.77/106.07 @ 818.77/106.07 X754 @ 818.77/106.07 ( 818.77/106.07 binunion 818.77/106.07 @ 818.77/106.07 X756 @ 818.77/106.07 X758 ) ) @ 818.77/106.07 ( 818.77/106.07 powerset 818.77/106.07 @ 818.77/106.07 ( 818.77/106.07 setminus 818.77/106.07 @ 818.77/106.07 X754 @ 818.77/106.07 X756 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 818.77/106.07 inference('cnf.neg', [status(esa)], [zf_stmt_5])). 818.77/106.07 thf(zip_derived_cl164, plain, ( (in @ sk__390 @ (powerset @ sk__388))), 818.77/106.07 inference('cnf', [status(esa)], [zf_stmt_6])). 818.77/106.07 thf(zip_derived_cl166, plain, ( (in @ sk__389 @ (powerset @ sk__388))), 818.77/106.07 inference('cnf', [status(esa)], [zf_stmt_6])). 818.77/106.07 thf(zip_derived_cl195, plain, 818.77/106.07 (![X223 : $i, X224 : $i, X225 : $i]: 818.77/106.07 (~ (in @ X223 @ (powerset @ X224)) 818.77/106.07 | (in @ (binunion @ X225 @ X223) @ (powerset @ X224)) 818.77/106.07 | ~ (in @ X225 @ (powerset @ X224)))), 818.77/106.07 inference('cnf', [status(esa)], [zf_stmt_6])). 818.77/106.07 thf(zip_derived_cl257, plain, 818.77/106.07 (![X277 : $i, X278 : $i]: (subset @ X277 @ (binunion @ X277 @ X278))), 818.77/106.07 inference('cnf', [status(esa)], [zf_stmt_6])). 818.77/106.07 thf(zip_derived_cl178, plain, 818.77/106.07 (![X204 : $i, X205 : $i, X206 : $i]: 818.77/106.07 (~ (in @ X204 @ (powerset @ X205)) 818.77/106.07 | (subset @ (setminus @ X205 @ X204) @ (setminus @ X205 @ X206)) 818.77/106.07 | ~ (subset @ X206 @ X204) 818.77/106.07 | ~ (in @ X206 @ (powerset @ X205)))), 818.77/106.07 inference('cnf', [status(esa)], [zf_stmt_6])). 818.77/106.07 thf(zip_derived_cl165, plain, 818.77/106.07 (~ (in @ (setminus @ sk__388 @ (binunion @ sk__389 @ sk__390)) @ 818.77/106.07 (powerset @ (setminus @ sk__388 @ sk__389)))), 818.77/106.07 inference('cnf', [status(esa)], [zf_stmt_6])). 818.77/106.07 thf(zip_derived_cl267, plain, 818.77/106.07 (![X290 : $i, X291 : $i]: 818.77/106.07 ( (in @ X290 @ (powerset @ X291)) | ~ (subset @ X290 @ X291))), 818.77/106.07 inference('cnf', [status(esa)], [zf_stmt_6])). 818.77/106.07 thf(zip_derived_cl11424, plain, ($false), 818.77/106.07 inference('eprover', [status(thm)], 818.77/106.07 [zip_derived_cl164, zip_derived_cl166, zip_derived_cl195, 818.77/106.07 zip_derived_cl257, zip_derived_cl178, zip_derived_cl165, 818.77/106.07 zip_derived_cl267])). 818.77/106.07 818.77/106.07 % SZS output end Refutation 818.77/106.07 818.77/106.07 818.77/106.07 % /export/starexec/sandbox2/solver/bin/lams/30_old_zip1.sh running for 36s 818.77/106.07 % Terminating... 818.77/106.16 % Runner terminated. 818.77/106.22 % Zipperpin 1.5 exiting 820.40/106.25 EOF