0.10/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TACtTGTIcI true 0.14/0.35 % Computer : n015.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 1920 0.14/0.35 % WCLimit : 240 0.14/0.35 % DateTime : Wed Jul 30 05:54:34 EDT 2025 0.14/0.36 % CPUTime : 0.14/0.36 % Running portfolio for 1920 s 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.14/0.36 % Number of cores: 8 0.14/0.36 % Python version: Python 3.6.8 0.14/0.36 % Running in HO mode 0.52/0.77 % Total configuration time : 828 0.52/0.77 % Estimated wc time : 1656 0.52/0.77 % Estimated cpu time (8 cpus) : 207.0 0.55/0.85 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.55/0.85 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.55/0.86 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.55/0.86 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.57/0.97 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.57/0.97 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.57/1.02 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.57/1.04 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 119.96/23.67 % Solved by lams/40_c_ic.sh. 119.96/23.67 % done 1259 iterations in 22.439s 119.96/23.67 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 119.96/23.67 % SZS output start Refutation 119.96/23.67 thf(setadjoinAx_type, type, setadjoinAx: $o). 119.96/23.67 thf(notdexE_type, type, notdexE: $o). 119.96/23.67 thf(demorgan1a_type, type, demorgan1a: $o). 119.96/23.67 thf(setukpairinjL2_type, type, setukpairinjL2: $o). 119.96/23.67 thf(doubleComplementI1_type, type, doubleComplementI1: $o). 119.96/23.67 thf(setunionAx_type, type, setunionAx: $o). 119.96/23.67 thf(setminusELneg_type, type, setminusELneg: $o). 119.96/23.67 thf(cartprodsndin_type, type, cartprodsndin: $o). 119.96/23.67 thf(ex1E1_type, type, ex1E1: $o). 119.96/23.67 thf(powersetE_type, type, powersetE: $o). 119.96/23.67 thf(woz13rule4_type, type, woz13rule4: $o). 119.96/23.67 thf(omegaSAx_type, type, omegaSAx: $o). 119.96/23.67 thf(exuI1_type, type, exuI1: $o). 119.96/23.67 thf(exuI2_type, type, exuI2: $o). 119.96/23.67 thf(notequalI2_type, type, notequalI2: $o). 119.96/23.67 thf(setukpairinjL_type, type, setukpairinjL: $o). 119.96/23.67 thf(woz13rule1_type, type, woz13rule1: $o). 119.96/23.67 thf(kpairiskpair_type, type, kpairiskpair: $o). 119.96/23.67 thf(upairsubunion_type, type, upairsubunion: $o). 119.96/23.67 thf(funcGraphProp3_type, type, funcGraphProp3: $o). 119.96/23.67 thf(binunionTE_type, type, binunionTE: $o). 119.96/23.67 thf(cartprodmempaircEq_type, type, cartprodmempaircEq: $o). 119.96/23.67 thf(binintersectTERcontra_type, type, binintersectTERcontra: $o). 119.96/23.67 thf(powerset__Cong_type, type, powerset__Cong: $o). 119.96/23.67 thf(sk__268_type, type, sk__268: $i). 119.96/23.67 thf(setminusILneg_type, type, setminusILneg: $o). 119.96/23.67 thf(wellorderingAx_type, type, wellorderingAx: $o). 119.96/23.67 thf(ksndpairEq_type, type, ksndpairEq: $o). 119.96/23.67 thf(funcGraphProp2_type, type, funcGraphProp2: $o). 119.96/23.67 thf(setadjoinSub2_type, type, setadjoinSub2: $o). 119.96/23.67 thf(binintersectSubset5_type, type, binintersectSubset5: $o). 119.96/23.67 thf(iftrue_type, type, iftrue: $o). 119.96/23.67 thf(upairinpowunion_type, type, upairinpowunion: $o). 119.96/23.67 thf(ifSingleton_type, type, ifSingleton: $o). 119.96/23.67 thf(doubleComplementSub2_type, type, doubleComplementSub2: $o). 119.96/23.67 thf(setoftrueEq_type, type, setoftrueEq: $o). 119.96/23.67 thf(funcImageSingleton_type, type, funcImageSingleton: $o). 119.96/23.67 thf(inIntersectImpInUnion2_type, type, inIntersectImpInUnion2: $o). 119.96/23.67 thf(dpsetconstrERa_type, type, dpsetconstrERa: $o). 119.96/23.67 thf(demorgan2b2_type, type, demorgan2b2: $o). 119.96/23.67 thf(lamProp_type, type, lamProp: $o). 119.96/23.67 thf(cartprodpairmemEL_type, type, cartprodpairmemEL: $o). 119.96/23.67 thf(emptyset__Cong_type, type, emptyset__Cong: $o). 119.96/23.67 thf(demorgan2_type, type, demorgan2: $o). 119.96/23.67 thf(sk__267_type, type, sk__267: $i). 119.96/23.67 thf(dpsetconstrER_type, type, dpsetconstrER: $o). 119.96/23.67 thf(sepInPowerset_type, type, sepInPowerset: $o). 119.96/23.67 thf(setukpairIR_type, type, setukpairIR: $o). 119.96/23.67 thf(setukpairinjR1_type, type, setukpairinjR1: $o). 119.96/23.67 thf(lam2p_type, type, lam2p: $o). 119.96/23.67 thf(binunionE_type, type, binunionE: $o). 119.96/23.67 thf(setext_type, type, setext: $o). 119.96/23.67 thf(emptyinPowerset_type, type, emptyinPowerset: $o). 119.96/23.67 thf(ubforcartprodlem1_type, type, ubforcartprodlem1: $o). 119.96/23.67 thf(descr__Cong_type, type, descr__Cong: $o). 119.96/23.67 thf(kfstsingleton_type, type, kfstsingleton: $o). 119.96/23.67 thf(binintersectTELcontra_type, type, binintersectTELcontra: $o). 119.96/23.67 thf(doubleComplementEq_type, type, doubleComplementEq: $o). 119.96/23.67 thf(eqbreln_type, type, eqbreln: $o). 119.96/23.67 thf(binintersectSubset1_type, type, binintersectSubset1: $o). 119.96/23.67 thf(inComplementUnionImpInComplement1_type, type, inComplementUnionImpInComplement1: 119.96/23.67 $o). 119.96/23.67 thf(complementImpComplementIntersect_type, type, complementImpComplementIntersect: 119.96/23.67 $o). 119.96/23.67 thf(in_type, type, in: $i > $i > $o). 119.96/23.67 thf(binunionT_lem_type, type, binunionT_lem: $o). 119.96/23.67 thf(sk__269_type, type, sk__269: $i). 119.96/23.67 thf(quantDeMorgan1_type, type, quantDeMorgan1: $o). 119.96/23.67 thf(complementT_lem_type, type, complementT_lem: $o). 119.96/23.67 thf(binunion_type, type, binunion: $i > $i > $i). 119.96/23.67 thf(kpairsurjEq_type, type, kpairsurjEq: $o). 119.96/23.67 thf(setadjoinIR_type, type, setadjoinIR: $o). 119.96/23.67 thf(doubleComplementE1_type, type, doubleComplementE1: $o). 119.96/23.67 thf(beta1_type, type, beta1: $o). 119.96/23.67 thf(setadjoin__Cong_type, type, setadjoin__Cong: $o). 119.96/23.67 thf(powersetTE1_type, type, powersetTE1: $o). 119.96/23.67 thf(symdiffI2_type, type, symdiffI2: $o). 119.96/23.67 thf(iftrueProp2_type, type, iftrueProp2: $o). 119.96/23.67 thf(upairset2IR_type, type, upairset2IR: $o). 119.96/23.67 thf(iffalseProp2_type, type, iffalseProp2: $o). 119.96/23.67 thf(subsetE_type, type, subsetE: $o). 119.96/23.67 thf(prop2set2propI_type, type, prop2set2propI: $o). 119.96/23.67 thf(demorgan2a_type, type, demorgan2a: $o). 119.96/23.67 thf(dsetconstrEL_type, type, dsetconstrEL: $o). 119.96/23.67 thf(setbeta_type, type, setbeta: $o). 119.96/23.67 thf(eqinunit_type, type, eqinunit: $o). 119.96/23.67 thf(upairsetIL_type, type, upairsetIL: $o). 119.96/23.67 thf(powersetI1_type, type, powersetI1: $o). 119.96/23.67 thf(kfstpairEq_type, type, kfstpairEq: $o). 119.96/23.67 thf(binintersectSubset3_type, type, binintersectSubset3: $o). 119.96/23.67 thf(inComplementUnionImpNotIn1_type, type, inComplementUnionImpNotIn1: $o). 119.96/23.67 thf(setminusIRneg_type, type, setminusIRneg: $o). 119.96/23.67 thf(ap2apEq1_type, type, ap2apEq1: $o). 119.96/23.67 thf(powersetAx_type, type, powersetAx: $o). 119.96/23.67 thf(binintersectSubset4_type, type, binintersectSubset4: $o). 119.96/23.67 thf(singletoninpowunion_type, type, singletoninpowunion: $o). 119.96/23.67 thf(binunionTIRcontra_type, type, binunionTIRcontra: $o). 119.96/23.67 thf(powersetI_type, type, powersetI: $o). 119.96/23.67 thf(cartprodmempair_type, type, cartprodmempair: $o). 119.96/23.67 thf(upairsetIR_type, type, upairsetIR: $o). 119.96/23.67 thf(lamp_type, type, lamp: $o). 119.96/23.67 thf(dpsetconstrEL1_type, type, dpsetconstrEL1: $o). 119.96/23.67 thf(inCongP_type, type, inCongP: $o). 119.96/23.67 thf(setadjoinSub_type, type, setadjoinSub: $o). 119.96/23.67 thf(exuE3e_type, type, exuE3e: $o). 119.96/23.67 thf(emptysetE_type, type, emptysetE: $o). 119.96/23.67 thf(binintersectSubset2_type, type, binintersectSubset2: $o). 119.96/23.67 thf(setunionI_type, type, setunionI: $o). 119.96/23.67 thf(setunion__Cong_type, type, setunion__Cong: $o). 119.96/23.67 thf(prop2setI_type, type, prop2setI: $o). 119.96/23.67 thf(singletonsuniq_type, type, singletonsuniq: $o). 119.96/23.67 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o). 119.96/23.67 thf(setminusER_type, type, setminusER: $o). 119.96/23.67 thf(exuE2_type, type, exuE2: $o). 119.96/23.67 thf(emptyset_type, type, emptyset: $i). 119.96/23.67 thf(setukpairinjR11_type, type, setukpairinjR11: $o). 119.96/23.67 thf(ex1I_type, type, ex1I: $o). 119.96/23.67 thf(ex1E2_type, type, ex1E2: $o). 119.96/23.67 thf(setminus_type, type, setminus: $i > $i > $i). 119.96/23.67 thf(setukpairinjL1_type, type, setukpairinjL1: $o). 119.96/23.67 thf(powersetsubset_type, type, powersetsubset: $o). 119.96/23.67 thf(binunionTILcontra_type, type, binunionTILcontra: $o). 119.96/23.67 thf(subPowSU_type, type, subPowSU: $o). 119.96/23.67 thf(notequalI1_type, type, notequalI1: $o). 119.96/23.67 thf(contrasubsetT_type, type, contrasubsetT: $o). 119.96/23.67 thf(notinemptyset_type, type, notinemptyset: $o). 119.96/23.67 thf(lam2lamEq_type, type, lam2lamEq: $o). 119.96/23.67 thf(nonemptyI1_type, type, nonemptyI1: $o). 119.96/23.67 thf(subsetTrans_type, type, subsetTrans: $o). 119.96/23.67 thf(kpairp_type, type, kpairp: $o). 119.96/23.67 thf(setukpairinjR12_type, type, setukpairinjR12: $o). 119.96/23.67 thf(setminusI_type, type, setminusI: $o). 119.96/23.67 thf(binunionIL_type, type, binunionIL: $o). 119.96/23.67 thf(dpsetconstrSub_type, type, dpsetconstrSub: $o). 119.96/23.67 thf(setunionsingleton_type, type, setunionsingleton: $o). 119.96/23.67 thf(subsetE2_type, type, subsetE2: $o). 119.96/23.67 thf(sk__270_type, type, sk__270: $i). 119.96/23.67 thf(singletonsswitch_type, type, singletonsswitch: $o). 119.96/23.67 thf(ubforcartprodlem3_type, type, ubforcartprodlem3: $o). 119.96/23.67 thf(beta2_type, type, beta2: $o). 119.96/23.67 thf(dpsetconstrI_type, type, dpsetconstrI: $o). 119.96/23.67 thf(setextsub_type, type, setextsub: $o). 119.96/23.67 thf(binunionLsub_type, type, binunionLsub: $o). 119.96/23.67 thf(setunionsingleton1_type, type, setunionsingleton1: $o). 119.96/23.67 thf(binintersect_type, type, binintersect: $i > $i > $i). 119.96/23.67 thf(demorgan2a2_type, type, demorgan2a2: $o). 119.96/23.67 thf(complementUnionInPowersetComplement_type, type, complementUnionInPowersetComplement: 119.96/23.67 $o). 119.96/23.67 thf(iftrueorfalse_type, type, iftrueorfalse: $o). 119.96/23.67 thf(emptysetsubset_type, type, emptysetsubset: $o). 119.96/23.67 thf(quantDeMorgan3_type, type, quantDeMorgan3: $o). 119.96/23.67 thf(cartprodpairsurjEq_type, type, cartprodpairsurjEq: $o). 119.96/23.67 thf(setOfPairsIsBReln_type, type, setOfPairsIsBReln: $o). 119.96/23.67 thf(setunionE_type, type, setunionE: $o). 119.96/23.67 thf(ksndsingleton_type, type, ksndsingleton: $o). 119.96/23.67 thf(setminusSubset1_type, type, setminusSubset1: $o). 119.96/23.67 thf(woz13rule0_type, type, woz13rule0: $o). 119.96/23.67 thf(powersetT_lem_type, type, powersetT_lem: $o). 119.96/23.67 thf(emptyinunitempty_type, type, emptyinunitempty: $o). 119.96/23.67 thf(binunionIR_type, type, binunionIR: $o). 119.96/23.67 thf(theeq_type, type, theeq: $o). 119.96/23.67 thf(setadjoinE_type, type, setadjoinE: $o). 119.96/23.67 thf(doubleComplementSub1_type, type, doubleComplementSub1: $o). 119.96/23.67 thf(sk__266_type, type, sk__266: $i). 119.96/23.67 thf(infuncsetfunc_type, type, infuncsetfunc: $o). 119.96/23.67 thf(woz13rule3_type, type, woz13rule3: $o). 119.96/23.67 thf(ap2apEq2_type, type, ap2apEq2: $o). 119.96/23.67 thf(ap2p_type, type, ap2p: $o). 119.96/23.67 thf(setadjoinIL_type, type, setadjoinIL: $o). 119.96/23.67 thf(cartprodsndpairEq_type, type, cartprodsndpairEq: $o). 119.96/23.67 thf(exuE1_type, type, exuE1: $o). 119.96/23.67 thf(ubforcartprodlem2_type, type, ubforcartprodlem2: $o). 119.96/23.67 thf(binintersectRsub_type, type, binintersectRsub: $o). 119.96/23.67 thf(setminusLsub_type, type, setminusLsub: $o). 119.96/23.67 thf(funcextLem_type, type, funcextLem: $o). 119.96/23.67 thf(setukpairinjR_type, type, setukpairinjR: $o). 119.96/23.67 thf(notinsingleton_type, type, notinsingleton: $o). 119.96/23.67 thf(inIntersectImpInIntersectUnions_type, type, inIntersectImpInIntersectUnions: 119.96/23.67 $o). 119.96/23.67 thf(eqimpsubset2_type, type, eqimpsubset2: $o). 119.96/23.67 thf(exuEu_type, type, exuEu: $o). 119.96/23.67 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o). 119.96/23.67 thf(upairsetE_type, type, upairsetE: $o). 119.96/23.67 thf(omega0Ax_type, type, omega0Ax: $o). 119.96/23.67 thf(subsetTI_type, type, subsetTI: $o). 119.96/23.67 thf(notsubsetI_type, type, notsubsetI: $o). 119.96/23.67 thf(contraSubsetComplement_type, type, contraSubsetComplement: $o). 119.96/23.67 thf(iffalseProp1_type, type, iffalseProp1: $o). 119.96/23.67 thf(quantDeMorgan4_type, type, quantDeMorgan4: $o). 119.96/23.67 thf(setextAx_type, type, setextAx: $o). 119.96/23.67 thf(cartprodpairmemER_type, type, cartprodpairmemER: $o). 119.96/23.67 thf(powersetE1_type, type, powersetE1: $o). 119.96/23.67 thf(bs114d_type, type, bs114d: $o). 119.96/23.67 thf(contrasubsetT3_type, type, contrasubsetT3: $o). 119.96/23.67 thf(noeltsimpempty_type, type, noeltsimpempty: $o). 119.96/23.67 thf(complementTcontraSubset_type, type, complementTcontraSubset: $o). 119.96/23.67 thf(ifp_type, type, ifp: $o). 119.96/23.67 thf(inIntersectImpInUnion_type, type, inIntersectImpInUnion: $o). 119.96/23.67 thf(powersetTI1_type, type, powersetTI1: $o). 119.96/23.67 thf(binintersectLsub_type, type, binintersectLsub: $o). 119.96/23.67 thf(subsetI1_type, type, subsetI1: $o). 119.96/23.67 thf(symdiffE_type, type, symdiffE: $o). 119.96/23.67 thf(descrp_type, type, descrp: $o). 119.96/23.67 thf(dsetconstr__Cong_type, type, dsetconstr__Cong: $o). 119.96/23.67 thf(foundationAx_type, type, foundationAx: $o). 119.96/23.67 thf(emptysetAx_type, type, emptysetAx: $o). 119.96/23.67 thf(emptyI_type, type, emptyI: $o). 119.96/23.67 thf(setadjoinOr_type, type, setadjoinOr: $o). 119.96/23.67 thf(eta2_type, type, eta2: $o). 119.96/23.67 thf(binintersectEL_type, type, binintersectEL: $o). 119.96/23.67 thf(emptyE1_type, type, emptyE1: $o). 119.96/23.67 thf(emptyInPowerset_type, type, emptyInPowerset: $o). 119.96/23.67 thf(complementTI1_type, type, complementTI1: $o). 119.96/23.67 thf(vacuousDall_type, type, vacuousDall: $o). 119.96/23.67 thf(dsetconstrER_type, type, dsetconstrER: $o). 119.96/23.67 thf(binintersectI_type, type, binintersectI: $o). 119.96/23.67 thf(funcext_type, type, funcext: $o). 119.96/23.67 thf(funcGraphProp4_type, type, funcGraphProp4: $o). 119.96/23.67 thf(cartprodpairin_type, type, cartprodpairin: $o). 119.96/23.67 thf(cartprodmempair1_type, type, cartprodmempair1: $o). 119.96/23.67 thf(woz13rule2_type, type, woz13rule2: $o). 119.96/23.67 thf(brelnall2_type, type, brelnall2: $o). 119.96/23.67 thf(setextT_type, type, setextT: $o). 119.96/23.67 thf(ex1I2_type, type, ex1I2: $o). 119.96/23.67 thf(symdiffI1_type, type, symdiffI1: $o). 119.96/23.67 thf(setukpairinjR2_type, type, setukpairinjR2: $o). 119.96/23.67 thf(dpsetconstrEL2_type, type, dpsetconstrEL2: $o). 119.96/23.67 thf(theprop_type, type, theprop: $o). 119.96/23.67 thf(subsetI2_type, type, subsetI2: $o). 119.96/23.67 thf(complementInPowersetComplementIntersect_type, type, complementInPowersetComplementIntersect: 119.96/23.67 $o). 119.96/23.67 thf(demorgan1_type, type, demorgan1: $o). 119.96/23.67 thf(setminusT_lem_type, type, setminusT_lem: $o). 119.96/23.67 thf(symdiffIneg1_type, type, symdiffIneg1: $o). 119.96/23.67 thf(setminusERneg_type, type, setminusERneg: $o). 119.96/23.67 thf(symdiffIneg2_type, type, symdiffIneg2: $o). 119.96/23.67 thf(omega__Cong_type, type, omega__Cong: $o). 119.96/23.67 thf(subsetRefl_type, type, subsetRefl: $o). 119.96/23.67 thf(uniqinunit_type, type, uniqinunit: $o). 119.96/23.67 thf(complementSubsetComplementIntersect_type, type, complementSubsetComplementIntersect: 119.96/23.67 $o). 119.96/23.67 thf(demorgan2b_type, type, demorgan2b: $o). 119.96/23.67 thf(setminusSubset2_type, type, setminusSubset2: $o). 119.96/23.67 thf(prop2setE_type, type, prop2setE: $o). 119.96/23.67 thf(binunionEcases_type, type, binunionEcases: $o). 119.96/23.67 thf(funcinfuncset_type, type, funcinfuncset: $o). 119.96/23.67 thf(complementTE1_type, type, complementTE1: $o). 119.96/23.67 thf(nonemptyI_type, type, nonemptyI: $o). 119.96/23.67 thf(app_type, type, app: $o). 119.96/23.67 thf(disjointsetsI1_type, type, disjointsetsI1: $o). 119.96/23.67 thf(demorgan2a1_type, type, demorgan2a1: $o). 119.96/23.67 thf(exuE3u_type, type, exuE3u: $o). 119.96/23.67 thf(eta1_type, type, eta1: $o). 119.96/23.67 thf(setminusEL_type, type, setminusEL: $o). 119.96/23.67 thf(cartprodfstin_type, type, cartprodfstin: $o). 119.96/23.67 thf(setunionsingleton2_type, type, setunionsingleton2: $o). 119.96/23.67 thf(sepSubset_type, type, sepSubset: $o). 119.96/23.67 thf(complementTnotintersectT_type, type, complementTnotintersectT: $o). 119.96/23.67 thf(upairset2E_type, type, upairset2E: $o). 119.96/23.67 thf(eqimpsubset1_type, type, eqimpsubset1: $o). 119.96/23.67 thf(exuI3_type, type, exuI3: $o). 119.96/23.67 thf(cartprodfstpairEq_type, type, cartprodfstpairEq: $o). 119.96/23.67 thf(apProp_type, type, apProp: $o). 119.96/23.67 thf(notdallE_type, type, notdallE: $o). 119.96/23.67 thf(iftrueProp1_type, type, iftrueProp1: $o). 119.96/23.67 thf(binintersectER_type, type, binintersectER: $o). 119.96/23.67 thf(brelnall1_type, type, brelnall1: $o). 119.96/23.67 thf(powerset_type, type, powerset: $i > $i). 119.96/23.67 thf(binunionTEcontra_type, type, binunionTEcontra: $o). 119.96/23.67 thf(demorgan1b_type, type, demorgan1b: $o). 119.96/23.67 thf(dsetconstrI_type, type, dsetconstrI: $o). 119.96/23.67 thf(funcGraphProp1_type, type, funcGraphProp1: $o). 119.96/23.67 thf(binintersectT_lem_type, type, binintersectT_lem: $o). 119.96/23.67 thf(setadjoin_type, type, setadjoin: $i > $i > $i). 119.96/23.67 thf(exu__Cong_type, type, exu__Cong: $o). 119.96/23.67 thf(intersectInPowersetIntersectUnions_type, type, intersectInPowersetIntersectUnions: 119.96/23.67 $o). 119.96/23.67 thf(quantDeMorgan2_type, type, quantDeMorgan2: $o). 119.96/23.67 thf(contrasubsetT2_type, type, contrasubsetT2: $o). 119.96/23.67 thf(secondinupair_type, type, secondinupair: $o). 119.96/23.67 thf(singletonprop_type, type, singletonprop: $o). 119.96/23.67 thf(singletonsubset_type, type, singletonsubset: $o). 119.96/23.67 thf(contrasubsetT1_type, type, contrasubsetT1: $o). 119.96/23.67 thf(singletoninpowerset_type, type, singletoninpowerset: $o). 119.96/23.67 thf(subsetemptysetimpeq_type, type, subsetemptysetimpeq: $o). 119.96/23.67 thf(replAx_type, type, replAx: $o). 119.96/23.67 thf(upairequniteq_type, type, upairequniteq: $o). 119.96/23.67 thf(nonemptyE1_type, type, nonemptyE1: $o). 119.96/23.67 thf(omegaIndAx_type, type, omegaIndAx: $o). 119.96/23.67 thf(setukpairIL_type, type, setukpairIL: $o). 119.96/23.67 thf(setunionE2_type, type, setunionE2: $o). 119.96/23.67 thf(inPowerset_type, type, inPowerset: $o). 119.96/23.67 thf(iffalse_type, type, iffalse: $o). 119.96/23.67 thf(funcext2_type, type, funcext2: $o). 119.96/23.67 thf(subset_type, type, subset: $i > $i > $o). 119.96/23.67 thf(woz1_1_type, type, woz1_1: $o). 119.96/23.67 thf(subbreln_type, type, subbreln: $o). 119.96/23.67 thf(in__Cong_type, type, in__Cong: $o). 119.96/23.67 thf(binunionRsub_type, type, binunionRsub: $o). 119.96/23.67 thf(subset2powerset_type, type, subset2powerset: $o). 119.96/23.67 thf(woz1_1, axiom, woz1_1 = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( in @ 119.96/23.67 ( setminus @ A @ X ) @ 119.96/23.67 ( powerset @ ( setminus @ A @ ( binintersect @ X @ Y ) ) ) ) ) ) ))). 119.96/23.67 thf('0', plain, 119.96/23.67 (( woz1_1 ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( in @ 119.96/23.67 ( setminus @ X4 @ X6 ) @ 119.96/23.67 ( powerset @ ( setminus @ X4 @ ( binintersect @ X6 @ X8 ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(woz13rule4, axiom, woz13rule4 = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ![Z:$i]: 119.96/23.67 ( ( in @ Z @ ( powerset @ A ) ) => 119.96/23.67 ( ![W:$i]: 119.96/23.67 ( ( in @ W @ ( powerset @ A ) ) => 119.96/23.67 ( ( subset @ X @ Z ) => 119.96/23.67 ( ( subset @ Y @ W ) => 119.96/23.67 ( subset @ 119.96/23.67 ( binintersect @ X @ Y ) @ ( binintersect @ Z @ W ) ) ) ) ) ) ) ) ) ) ))). 119.96/23.67 thf('1', plain, 119.96/23.67 (( woz13rule4 ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X10:$i]: 119.96/23.67 ( ( in @ X10 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X12:$i]: 119.96/23.67 ( ( in @ X12 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ( subset @ X6 @ X10 ) => 119.96/23.67 ( ( subset @ X8 @ X12 ) => 119.96/23.67 ( subset @ 119.96/23.67 ( binintersect @ X6 @ X8 ) @ 119.96/23.67 ( binintersect @ X10 @ X12 ) ) ) ) ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(woz13rule3, axiom, woz13rule3 = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ![Z:$i]: 119.96/23.67 ( ( in @ Z @ ( powerset @ A ) ) => 119.96/23.67 ( ( subset @ X @ Y ) => 119.96/23.67 ( ( subset @ X @ Z ) => 119.96/23.67 ( subset @ X @ ( binintersect @ Y @ Z ) ) ) ) ) ) ) ) ))). 119.96/23.67 thf('2', plain, 119.96/23.67 (( woz13rule3 ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X10:$i]: 119.96/23.67 ( ( in @ X10 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ( subset @ X6 @ X8 ) => 119.96/23.67 ( ( subset @ X6 @ X10 ) => 119.96/23.67 ( subset @ X6 @ ( binintersect @ X8 @ X10 ) ) ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(woz13rule2, axiom, woz13rule2 = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ![Z:$i]: 119.96/23.67 ( ( in @ Z @ ( powerset @ A ) ) => 119.96/23.67 ( ( subset @ Y @ Z ) => 119.96/23.67 ( subset @ ( binintersect @ X @ Y ) @ Z ) ) ) ) ) ) ))). 119.96/23.67 thf('3', plain, 119.96/23.67 (( woz13rule2 ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X10:$i]: 119.96/23.67 ( ( in @ X10 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ( subset @ X8 @ X10 ) => 119.96/23.67 ( subset @ ( binintersect @ X6 @ X8 ) @ X10 ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(woz13rule1, axiom, woz13rule1 = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ![Z:$i]: 119.96/23.67 ( ( in @ Z @ ( powerset @ A ) ) => 119.96/23.67 ( ( subset @ X @ Z ) => 119.96/23.67 ( subset @ ( binintersect @ X @ Y ) @ Z ) ) ) ) ) ) ))). 119.96/23.67 thf('4', plain, 119.96/23.67 (( woz13rule1 ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X10:$i]: 119.96/23.67 ( ( in @ X10 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ( subset @ X6 @ X10 ) => 119.96/23.67 ( subset @ ( binintersect @ X6 @ X8 ) @ X10 ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(woz13rule0, axiom, woz13rule0 = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ![Xx:$i]: 119.96/23.67 ( ( in @ Xx @ ( binintersect @ X @ Y ) ) => ( in @ Xx @ A ) ) ) ) ) ))). 119.96/23.67 thf('5', plain, 119.96/23.67 (( woz13rule0 ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X10:$i]: 119.96/23.67 ( ( in @ X10 @ ( binintersect @ X6 @ X8 ) ) => 119.96/23.67 ( in @ X10 @ X4 ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(demorgan2, axiom, demorgan2 = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ( setminus @ A @ ( binunion @ X @ Y ) ) = 119.96/23.67 ( binintersect @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) ) ) ) ))). 119.96/23.67 thf('6', plain, 119.96/23.67 (( demorgan2 ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ( setminus @ X4 @ ( binunion @ X6 @ X8 ) ) = 119.96/23.67 ( binintersect @ 119.96/23.67 ( setminus @ X4 @ X6 ) @ ( setminus @ X4 @ X8 ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(demorgan2b, axiom, demorgan2b = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ![Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ( in @ 119.96/23.67 Xx @ 119.96/23.67 ( binintersect @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) ) => 119.96/23.67 ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) ) ) ) ) ) ) ))). 119.96/23.67 thf('7', plain, 119.96/23.67 (( demorgan2b ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X10:$i]: 119.96/23.67 ( ( in @ X10 @ X4 ) => 119.96/23.67 ( ( in @ 119.96/23.67 X10 @ 119.96/23.67 ( binintersect @ 119.96/23.67 ( setminus @ X4 @ X6 ) @ ( setminus @ X4 @ X8 ) ) ) => 119.96/23.67 ( in @ X10 @ ( setminus @ X4 @ ( binunion @ X6 @ X8 ) ) ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(demorgan2b2, axiom, demorgan2b2 = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ![Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ( in @ Xx @ ( setminus @ A @ X ) ) => 119.96/23.67 ( ( in @ Xx @ ( setminus @ A @ Y ) ) => 119.96/23.67 ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) ) ) ) ) ) ) ) ))). 119.96/23.67 thf('8', plain, 119.96/23.67 (( demorgan2b2 ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X10:$i]: 119.96/23.67 ( ( in @ X10 @ X4 ) => 119.96/23.67 ( ( in @ X10 @ ( setminus @ X4 @ X6 ) ) => 119.96/23.67 ( ( in @ X10 @ ( setminus @ X4 @ X8 ) ) => 119.96/23.67 ( in @ X10 @ ( setminus @ X4 @ ( binunion @ X6 @ X8 ) ) ) ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(demorgan2a, axiom, demorgan2a = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ![Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) ) => 119.96/23.67 ( in @ 119.96/23.67 Xx @ 119.96/23.67 ( binintersect @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) ) ) ) ) ) ) ))). 119.96/23.67 thf('9', plain, 119.96/23.67 (( demorgan2a ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X10:$i]: 119.96/23.67 ( ( in @ X10 @ X4 ) => 119.96/23.67 ( ( in @ X10 @ ( setminus @ X4 @ ( binunion @ X6 @ X8 ) ) ) => 119.96/23.67 ( in @ 119.96/23.67 X10 @ 119.96/23.67 ( binintersect @ 119.96/23.67 ( setminus @ X4 @ X6 ) @ ( setminus @ X4 @ X8 ) ) ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(demorgan1, axiom, demorgan1 = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ( setminus @ A @ ( binintersect @ X @ Y ) ) = 119.96/23.67 ( binunion @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) ) ) ) ))). 119.96/23.67 thf('10', plain, 119.96/23.67 (( demorgan1 ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ( setminus @ X4 @ ( binintersect @ X6 @ X8 ) ) = 119.96/23.67 ( binunion @ ( setminus @ X4 @ X6 ) @ ( setminus @ X4 @ X8 ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(demorgan1b, axiom, demorgan1b = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ![Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ( in @ 119.96/23.67 Xx @ 119.96/23.67 ( binunion @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) ) => 119.96/23.67 ( in @ Xx @ ( setminus @ A @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ))). 119.96/23.67 thf('11', plain, 119.96/23.67 (( demorgan1b ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X10:$i]: 119.96/23.67 ( ( in @ X10 @ X4 ) => 119.96/23.67 ( ( in @ 119.96/23.67 X10 @ 119.96/23.67 ( binunion @ 119.96/23.67 ( setminus @ X4 @ X6 ) @ ( setminus @ X4 @ X8 ) ) ) => 119.96/23.67 ( in @ 119.96/23.67 X10 @ ( setminus @ X4 @ ( binintersect @ X6 @ X8 ) ) ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(demorgan1a, axiom, demorgan1a = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ![Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ( in @ Xx @ ( setminus @ A @ ( binintersect @ X @ Y ) ) ) => 119.96/23.67 ( in @ 119.96/23.67 Xx @ 119.96/23.67 ( binunion @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) ) ) ) ) ) ) ))). 119.96/23.67 thf('12', plain, 119.96/23.67 (( demorgan1a ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X10:$i]: 119.96/23.67 ( ( in @ X10 @ X4 ) => 119.96/23.67 ( ( in @ 119.96/23.67 X10 @ ( setminus @ X4 @ ( binintersect @ X6 @ X8 ) ) ) => 119.96/23.67 ( in @ 119.96/23.67 X10 @ 119.96/23.67 ( binunion @ 119.96/23.67 ( setminus @ X4 @ X6 ) @ ( setminus @ X4 @ X8 ) ) ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(demorgan2a2, axiom, demorgan2a2 = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ![Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) ) => 119.96/23.67 ( in @ Xx @ ( setminus @ A @ Y ) ) ) ) ) ) ) ))). 119.96/23.67 thf('13', plain, 119.96/23.67 (( demorgan2a2 ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X10:$i]: 119.96/23.67 ( ( in @ X10 @ X4 ) => 119.96/23.67 ( ( in @ X10 @ ( setminus @ X4 @ ( binunion @ X6 @ X8 ) ) ) => 119.96/23.67 ( in @ X10 @ ( setminus @ X4 @ X8 ) ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(complementUnionInPowersetComplement, axiom, 119.96/23.67 complementUnionInPowersetComplement = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( in @ 119.96/23.67 ( setminus @ A @ ( binunion @ X @ Y ) ) @ 119.96/23.67 ( powerset @ ( setminus @ A @ X ) ) ) ) ) ))). 119.96/23.67 thf('14', plain, 119.96/23.67 (( complementUnionInPowersetComplement ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( in @ 119.96/23.67 ( setminus @ X4 @ ( binunion @ X6 @ X8 ) ) @ 119.96/23.67 ( powerset @ ( setminus @ X4 @ X6 ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(demorgan2a1, axiom, demorgan2a1 = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ![Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) ) => 119.96/23.67 ( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ) ))). 119.96/23.67 thf('15', plain, 119.96/23.67 (( demorgan2a1 ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X10:$i]: 119.96/23.67 ( ( in @ X10 @ X4 ) => 119.96/23.67 ( ( in @ X10 @ ( setminus @ X4 @ ( binunion @ X6 @ X8 ) ) ) => 119.96/23.67 ( in @ X10 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(binunionTEcontra, axiom, binunionTEcontra = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ![Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ( ~( in @ Xx @ X ) ) => 119.96/23.67 ( ( ~( in @ Xx @ Y ) ) => 119.96/23.67 ( ~( in @ Xx @ ( binunion @ X @ Y ) ) ) ) ) ) ) ) ) ))). 119.96/23.67 thf('16', plain, 119.96/23.67 (( binunionTEcontra ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X10:$i]: 119.96/23.67 ( ( in @ X10 @ X4 ) => 119.96/23.67 ( ( ~( in @ X10 @ X6 ) ) => 119.96/23.67 ( ( ~( in @ X10 @ X8 ) ) => 119.96/23.67 ( ~( in @ X10 @ ( binunion @ X6 @ X8 ) ) ) ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(binunionTE, axiom, binunionTE = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ![Xphi:$o,Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ( in @ Xx @ ( binunion @ X @ Y ) ) => 119.96/23.67 ( ( ( in @ Xx @ X ) => ( Xphi ) ) => 119.96/23.67 ( ( ( in @ Xx @ Y ) => ( Xphi ) ) => ( Xphi ) ) ) ) ) ) ) ) ))). 119.96/23.67 thf('17', plain, 119.96/23.67 (( binunionTE ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X10:$o,X12:$i]: 119.96/23.67 ( ( in @ X12 @ X4 ) => 119.96/23.67 ( ( in @ X12 @ ( binunion @ X6 @ X8 ) ) => 119.96/23.67 ( ( ( in @ X12 @ X6 ) => ( X10 ) ) => 119.96/23.67 ( ( ( in @ X12 @ X8 ) => ( X10 ) ) => ( X10 ) ) ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(inComplementUnionImpInComplement1, axiom, 119.96/23.67 inComplementUnionImpInComplement1 = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ![Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) ) => 119.96/23.67 ( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ) ))). 119.96/23.67 thf('18', plain, 119.96/23.67 (( inComplementUnionImpInComplement1 ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X10:$i]: 119.96/23.67 ( ( in @ X10 @ X4 ) => 119.96/23.67 ( ( in @ X10 @ ( setminus @ X4 @ ( binunion @ X6 @ X8 ) ) ) => 119.96/23.67 ( in @ X10 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(inComplementUnionImpNotIn1, axiom, inComplementUnionImpNotIn1 = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ![Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) ) => 119.96/23.67 ( ~( in @ Xx @ X ) ) ) ) ) ) ) ))). 119.96/23.67 thf('19', plain, 119.96/23.67 (( inComplementUnionImpNotIn1 ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X10:$i]: 119.96/23.67 ( ( in @ X10 @ X4 ) => 119.96/23.67 ( ( in @ X10 @ ( setminus @ X4 @ ( binunion @ X6 @ X8 ) ) ) => 119.96/23.67 ( ~( in @ X10 @ X6 ) ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(intersectInPowersetIntersectUnions, axiom, 119.96/23.67 intersectInPowersetIntersectUnions = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ![Z:$i]: 119.96/23.67 ( ( in @ Z @ ( powerset @ A ) ) => 119.96/23.67 ( in @ 119.96/23.67 ( binintersect @ X @ Y ) @ 119.96/23.67 ( powerset @ 119.96/23.67 ( binintersect @ ( binunion @ X @ Z ) @ ( binunion @ Y @ Z ) ) ) ) ) ) ) ) ))). 119.96/23.67 thf('20', plain, 119.96/23.67 (( intersectInPowersetIntersectUnions ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X10:$i]: 119.96/23.67 ( ( in @ X10 @ ( powerset @ X4 ) ) => 119.96/23.67 ( in @ 119.96/23.67 ( binintersect @ X6 @ X8 ) @ 119.96/23.67 ( powerset @ 119.96/23.67 ( binintersect @ 119.96/23.67 ( binunion @ X6 @ X10 ) @ ( binunion @ X8 @ X10 ) ) ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(inIntersectImpInIntersectUnions, axiom, inIntersectImpInIntersectUnions = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ![Z:$i]: 119.96/23.67 ( ( in @ Z @ ( powerset @ A ) ) => 119.96/23.67 ( ![Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ( in @ Xx @ ( binintersect @ X @ Y ) ) => 119.96/23.67 ( in @ 119.96/23.67 Xx @ 119.96/23.67 ( binintersect @ 119.96/23.67 ( binunion @ X @ Z ) @ ( binunion @ Y @ Z ) ) ) ) ) ) ) ) ) ) ))). 119.96/23.67 thf('21', plain, 119.96/23.67 (( inIntersectImpInIntersectUnions ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X10:$i]: 119.96/23.67 ( ( in @ X10 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X12:$i]: 119.96/23.67 ( ( in @ X12 @ X4 ) => 119.96/23.67 ( ( in @ X12 @ ( binintersect @ X6 @ X8 ) ) => 119.96/23.67 ( in @ 119.96/23.67 X12 @ 119.96/23.67 ( binintersect @ 119.96/23.67 ( binunion @ X6 @ X10 ) @ ( binunion @ X8 @ X10 ) ) ) ) ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(inIntersectImpInUnion2, axiom, inIntersectImpInUnion2 = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ![Z:$i]: 119.96/23.67 ( ( in @ Z @ ( powerset @ A ) ) => 119.96/23.67 ( ![Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ( in @ Xx @ ( binintersect @ X @ Y ) ) => 119.96/23.67 ( in @ Xx @ ( binunion @ Y @ Z ) ) ) ) ) ) ) ) ) ))). 119.96/23.67 thf('22', plain, 119.96/23.67 (( inIntersectImpInUnion2 ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X10:$i]: 119.96/23.67 ( ( in @ X10 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X12:$i]: 119.96/23.67 ( ( in @ X12 @ X4 ) => 119.96/23.67 ( ( in @ X12 @ ( binintersect @ X6 @ X8 ) ) => 119.96/23.67 ( in @ X12 @ ( binunion @ X8 @ X10 ) ) ) ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(inIntersectImpInUnion, axiom, inIntersectImpInUnion = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ![Z:$i]: 119.96/23.67 ( ( in @ Z @ ( powerset @ A ) ) => 119.96/23.67 ( ![Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ( in @ Xx @ ( binintersect @ X @ Y ) ) => 119.96/23.67 ( in @ Xx @ ( binunion @ X @ Z ) ) ) ) ) ) ) ) ) ))). 119.96/23.67 thf('23', plain, 119.96/23.67 (( inIntersectImpInUnion ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X10:$i]: 119.96/23.67 ( ( in @ X10 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X12:$i]: 119.96/23.67 ( ( in @ X12 @ X4 ) => 119.96/23.67 ( ( in @ X12 @ ( binintersect @ X6 @ X8 ) ) => 119.96/23.67 ( in @ X12 @ ( binunion @ X6 @ X10 ) ) ) ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(binunionTIRcontra, axiom, binunionTIRcontra = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ![Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ( ~( in @ Xx @ ( binunion @ X @ Y ) ) ) => 119.96/23.67 ( ~( in @ Xx @ Y ) ) ) ) ) ) ) ))). 119.96/23.67 thf('24', plain, 119.96/23.67 (( binunionTIRcontra ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X10:$i]: 119.96/23.67 ( ( in @ X10 @ X4 ) => 119.96/23.67 ( ( ~( in @ X10 @ ( binunion @ X6 @ X8 ) ) ) => 119.96/23.67 ( ~( in @ X10 @ X8 ) ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(binunionTILcontra, axiom, binunionTILcontra = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ![Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ( ~( in @ Xx @ ( binunion @ X @ Y ) ) ) => 119.96/23.67 ( ~( in @ Xx @ X ) ) ) ) ) ) ) ))). 119.96/23.67 thf('25', plain, 119.96/23.67 (( binunionTILcontra ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X10:$i]: 119.96/23.67 ( ( in @ X10 @ X4 ) => 119.96/23.67 ( ( ~( in @ X10 @ ( binunion @ X6 @ X8 ) ) ) => 119.96/23.67 ( ~( in @ X10 @ X6 ) ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(complementTcontraSubset, axiom, complementTcontraSubset = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ( subset @ X @ ( setminus @ A @ Y ) ) => 119.96/23.67 ( subset @ Y @ ( setminus @ A @ X ) ) ) ) ) ))). 119.96/23.67 thf('26', plain, 119.96/23.67 (( complementTcontraSubset ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ( subset @ X6 @ ( setminus @ X4 @ X8 ) ) => 119.96/23.67 ( subset @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(contraSubsetComplement, axiom, contraSubsetComplement = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ( subset @ X @ ( setminus @ A @ Y ) ) => 119.96/23.67 ( ![Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ( in @ Xx @ Y ) => ( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ) ) ))). 119.96/23.67 thf('27', plain, 119.96/23.67 (( contraSubsetComplement ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ( subset @ X6 @ ( setminus @ X4 @ X8 ) ) => 119.96/23.67 ( ![X10:$i]: 119.96/23.67 ( ( in @ X10 @ X4 ) => 119.96/23.67 ( ( in @ X10 @ X8 ) => 119.96/23.67 ( in @ X10 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(complementInPowersetComplementIntersect, axiom, 119.96/23.67 complementInPowersetComplementIntersect = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( in @ 119.96/23.67 ( setminus @ A @ X ) @ 119.96/23.67 ( powerset @ ( setminus @ A @ ( binintersect @ X @ Y ) ) ) ) ) ) ))). 119.96/23.67 thf('28', plain, 119.96/23.67 (( complementInPowersetComplementIntersect ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( in @ 119.96/23.67 ( setminus @ X4 @ X6 ) @ 119.96/23.67 ( powerset @ ( setminus @ X4 @ ( binintersect @ X6 @ X8 ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(complementSubsetComplementIntersect, axiom, 119.96/23.67 complementSubsetComplementIntersect = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( subset @ 119.96/23.67 ( setminus @ A @ X ) @ ( setminus @ A @ ( binintersect @ X @ Y ) ) ) ) ) ))). 119.96/23.67 thf('29', plain, 119.96/23.67 (( complementSubsetComplementIntersect ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( subset @ 119.96/23.67 ( setminus @ X4 @ X6 ) @ 119.96/23.67 ( setminus @ X4 @ ( binintersect @ X6 @ X8 ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(complementImpComplementIntersect, axiom, 119.96/23.67 complementImpComplementIntersect = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ![Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ( in @ Xx @ ( setminus @ A @ X ) ) => 119.96/23.67 ( in @ Xx @ ( setminus @ A @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ))). 119.96/23.67 thf('30', plain, 119.96/23.67 (( complementImpComplementIntersect ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X10:$i]: 119.96/23.67 ( ( in @ X10 @ X4 ) => 119.96/23.67 ( ( in @ X10 @ ( setminus @ X4 @ X6 ) ) => 119.96/23.67 ( in @ 119.96/23.67 X10 @ ( setminus @ X4 @ ( binintersect @ X6 @ X8 ) ) ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(complementTnotintersectT, axiom, complementTnotintersectT = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ![Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ( in @ Xx @ ( setminus @ A @ X ) ) => 119.96/23.67 ( ~( in @ Xx @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ))). 119.96/23.67 thf('31', plain, 119.96/23.67 (( complementTnotintersectT ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X10:$i]: 119.96/23.67 ( ( in @ X10 @ X4 ) => 119.96/23.67 ( ( in @ X10 @ ( setminus @ X4 @ X6 ) ) => 119.96/23.67 ( ~( in @ X10 @ ( binintersect @ X6 @ X8 ) ) ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(doubleComplementEq, axiom, doubleComplementEq = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ( X ) = ( setminus @ A @ ( setminus @ A @ X ) ) ) ))). 119.96/23.67 thf('32', plain, 119.96/23.67 (( doubleComplementEq ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ( X6 ) = ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(doubleComplementSub2, axiom, doubleComplementSub2 = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( subset @ ( setminus @ A @ ( setminus @ A @ X ) ) @ X ) ))). 119.96/23.67 thf('33', plain, 119.96/23.67 (( doubleComplementSub2 ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( subset @ ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) @ X6 ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(doubleComplementSub1, axiom, doubleComplementSub1 = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( subset @ X @ ( setminus @ A @ ( setminus @ A @ X ) ) ) ))). 119.96/23.67 thf('34', plain, 119.96/23.67 (( doubleComplementSub1 ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( subset @ X6 @ ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(doubleComplementE1, axiom, doubleComplementE1 = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ( in @ Xx @ ( setminus @ A @ ( setminus @ A @ X ) ) ) => 119.96/23.67 ( in @ Xx @ X ) ) ) ) ))). 119.96/23.67 thf('35', plain, 119.96/23.67 (( doubleComplementE1 ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ X4 ) => 119.96/23.67 ( ( in @ X8 @ ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) ) => 119.96/23.67 ( in @ X8 @ X6 ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(doubleComplementI1, axiom, doubleComplementI1 = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ( in @ Xx @ X ) => 119.96/23.67 ( in @ Xx @ ( setminus @ A @ ( setminus @ A @ X ) ) ) ) ) ) ))). 119.96/23.67 thf('36', plain, 119.96/23.67 (( doubleComplementI1 ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ X4 ) => 119.96/23.67 ( ( in @ X8 @ X6 ) => 119.96/23.67 ( in @ X8 @ ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(contrasubsetT3, axiom, contrasubsetT3 = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ( subset @ ( setminus @ A @ Y ) @ ( setminus @ A @ X ) ) => 119.96/23.67 ( subset @ X @ Y ) ) ) ) ))). 119.96/23.67 thf('37', plain, 119.96/23.67 (( contrasubsetT3 ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ( subset @ ( setminus @ X4 @ X8 ) @ ( setminus @ X4 @ X6 ) ) => 119.96/23.67 ( subset @ X6 @ X8 ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(contrasubsetT2, axiom, contrasubsetT2 = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ( subset @ X @ Y ) => 119.96/23.67 ( subset @ ( setminus @ A @ Y ) @ ( setminus @ A @ X ) ) ) ) ) ))). 119.96/23.67 thf('38', plain, 119.96/23.67 (( contrasubsetT2 ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ( subset @ X6 @ X8 ) => 119.96/23.67 ( subset @ ( setminus @ X4 @ X8 ) @ ( setminus @ X4 @ X6 ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(contrasubsetT, axiom, contrasubsetT = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ![Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ( subset @ X @ ( setminus @ A @ Y ) ) => 119.96/23.67 ( ( in @ Xx @ Y ) => ( ~( in @ Xx @ X ) ) ) ) ) ) ) ) ))). 119.96/23.67 thf('39', plain, 119.96/23.67 (( contrasubsetT ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X10:$i]: 119.96/23.67 ( ( in @ X10 @ X4 ) => 119.96/23.67 ( ( subset @ X6 @ ( setminus @ X4 @ X8 ) ) => 119.96/23.67 ( ( in @ X10 @ X8 ) => ( ~( in @ X10 @ X6 ) ) ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(binintersectTERcontra, axiom, binintersectTERcontra = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ![Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ( ~( in @ Xx @ Y ) ) => 119.96/23.67 ( ~( in @ Xx @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ))). 119.96/23.67 thf('40', plain, 119.96/23.67 (( binintersectTERcontra ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X10:$i]: 119.96/23.67 ( ( in @ X10 @ X4 ) => 119.96/23.67 ( ( ~( in @ X10 @ X8 ) ) => 119.96/23.67 ( ~( in @ X10 @ ( binintersect @ X6 @ X8 ) ) ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(binintersectTELcontra, axiom, binintersectTELcontra = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( ![Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ( ~( in @ Xx @ X ) ) => 119.96/23.67 ( ~( in @ Xx @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ))). 119.96/23.67 thf('41', plain, 119.96/23.67 (( binintersectTELcontra ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X10:$i]: 119.96/23.67 ( ( in @ X10 @ X4 ) => 119.96/23.67 ( ( ~( in @ X10 @ X6 ) ) => 119.96/23.67 ( ~( in @ X10 @ ( binintersect @ X6 @ X8 ) ) ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(complementTE1, axiom, complementTE1 = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ( ~( in @ Xx @ ( setminus @ A @ X ) ) ) => ( in @ Xx @ X ) ) ) ) ))). 119.96/23.67 thf('42', plain, 119.96/23.67 (( complementTE1 ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ X4 ) => 119.96/23.67 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => ( in @ X8 @ X6 ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(complementTI1, axiom, complementTI1 = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ( in @ Xx @ X ) => ( ~( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ))). 119.96/23.67 thf('43', plain, 119.96/23.67 (( complementTI1 ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ X4 ) => 119.96/23.67 ( ( in @ X8 @ X6 ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(complementT_lem, axiom, complementT_lem = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( in @ ( setminus @ A @ X ) @ ( powerset @ A ) ) ))). 119.96/23.67 thf('44', plain, 119.96/23.67 (( complementT_lem ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( in @ ( setminus @ X4 @ X6 ) @ ( powerset @ X4 ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(setminusT_lem, axiom, setminusT_lem = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( in @ ( setminus @ X @ Y ) @ ( powerset @ A ) ) ) ) ))). 119.96/23.67 thf('45', plain, 119.96/23.67 (( setminusT_lem ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( in @ ( setminus @ X6 @ X8 ) @ ( powerset @ X4 ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(binunionT_lem, axiom, binunionT_lem = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( in @ ( binunion @ X @ Y ) @ ( powerset @ A ) ) ) ) ))). 119.96/23.67 thf('46', plain, 119.96/23.67 (( binunionT_lem ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( in @ ( binunion @ X6 @ X8 ) @ ( powerset @ X4 ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(binintersectT_lem, axiom, binintersectT_lem = 119.96/23.67 (![A:$i,X:$i]: 119.96/23.67 ( ( in @ X @ ( powerset @ A ) ) => 119.96/23.67 ( ![Y:$i]: 119.96/23.67 ( ( in @ Y @ ( powerset @ A ) ) => 119.96/23.67 ( in @ ( binintersect @ X @ Y ) @ ( powerset @ A ) ) ) ) ))). 119.96/23.67 thf('47', plain, 119.96/23.67 (( binintersectT_lem ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 119.96/23.67 ( ![X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( powerset @ X4 ) ) => 119.96/23.67 ( in @ ( binintersect @ X6 @ X8 ) @ ( powerset @ X4 ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(ubforcartprodlem2, axiom, ubforcartprodlem2 = 119.96/23.67 (![A:$i,B:$i,Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ![Xy:$i]: 119.96/23.67 ( ( in @ Xy @ B ) => 119.96/23.67 ( in @ 119.96/23.67 ( setadjoin @ 119.96/23.67 ( setadjoin @ Xx @ emptyset ) @ 119.96/23.67 ( setadjoin @ 119.96/23.67 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) @ 119.96/23.67 ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ))). 119.96/23.67 thf('48', plain, 119.96/23.67 (( ubforcartprodlem2 ) = 119.96/23.67 ( ![X4:$i,X6:$i,X8:$i]: 119.96/23.67 ( ( in @ X8 @ X4 ) => 119.96/23.67 ( ![X10:$i]: 119.96/23.67 ( ( in @ X10 @ X6 ) => 119.96/23.67 ( in @ 119.96/23.67 ( setadjoin @ 119.96/23.67 ( setadjoin @ X8 @ emptyset ) @ 119.96/23.67 ( setadjoin @ 119.96/23.67 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 119.96/23.67 emptyset ) ) @ 119.96/23.67 ( powerset @ ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(ubforcartprodlem1, axiom, ubforcartprodlem1 = 119.96/23.67 (![A:$i,B:$i,Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ![Xy:$i]: 119.96/23.67 ( ( in @ Xy @ B ) => 119.96/23.67 ( subset @ 119.96/23.67 ( setadjoin @ 119.96/23.67 ( setadjoin @ Xx @ emptyset ) @ 119.96/23.67 ( setadjoin @ 119.96/23.67 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) @ 119.96/23.67 ( powerset @ ( binunion @ A @ B ) ) ) ) ) ))). 119.96/23.67 thf('49', plain, 119.96/23.67 (( ubforcartprodlem1 ) = 119.96/23.67 ( ![X4:$i,X6:$i,X8:$i]: 119.96/23.67 ( ( in @ X8 @ X4 ) => 119.96/23.67 ( ![X10:$i]: 119.96/23.67 ( ( in @ X10 @ X6 ) => 119.96/23.67 ( subset @ 119.96/23.67 ( setadjoin @ 119.96/23.67 ( setadjoin @ X8 @ emptyset ) @ 119.96/23.67 ( setadjoin @ 119.96/23.67 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 119.96/23.67 emptyset ) ) @ 119.96/23.67 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(upairinpowunion, axiom, upairinpowunion = 119.96/23.67 (![A:$i,B:$i,Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ![Xy:$i]: 119.96/23.67 ( ( in @ Xy @ B ) => 119.96/23.67 ( in @ 119.96/23.67 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ 119.96/23.67 ( powerset @ ( binunion @ A @ B ) ) ) ) ) ))). 119.96/23.67 thf('50', plain, 119.96/23.67 (( upairinpowunion ) = 119.96/23.67 ( ![X4:$i,X6:$i,X8:$i]: 119.96/23.67 ( ( in @ X8 @ X4 ) => 119.96/23.67 ( ![X10:$i]: 119.96/23.67 ( ( in @ X10 @ X6 ) => 119.96/23.67 ( in @ 119.96/23.67 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 119.96/23.67 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(upairsubunion, axiom, upairsubunion = 119.96/23.67 (![A:$i,B:$i,Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ![Xy:$i]: 119.96/23.67 ( ( in @ Xy @ B ) => 119.96/23.67 ( subset @ 119.96/23.67 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ 119.96/23.67 ( binunion @ A @ B ) ) ) ) ))). 119.96/23.67 thf('51', plain, 119.96/23.67 (( upairsubunion ) = 119.96/23.67 ( ![X4:$i,X6:$i,X8:$i]: 119.96/23.67 ( ( in @ X8 @ X4 ) => 119.96/23.67 ( ![X10:$i]: 119.96/23.67 ( ( in @ X10 @ X6 ) => 119.96/23.67 ( subset @ 119.96/23.67 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 119.96/23.67 ( binunion @ X4 @ X6 ) ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(singletoninpowunion, axiom, singletoninpowunion = 119.96/23.67 (![A:$i,B:$i,Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( in @ 119.96/23.67 ( setadjoin @ Xx @ emptyset ) @ ( powerset @ ( binunion @ A @ B ) ) ) ))). 119.96/23.67 thf('52', plain, 119.96/23.67 (( singletoninpowunion ) = 119.96/23.67 ( ![X4:$i,X6:$i,X8:$i]: 119.96/23.67 ( ( in @ X8 @ X4 ) => 119.96/23.67 ( in @ 119.96/23.67 ( setadjoin @ X8 @ emptyset ) @ 119.96/23.67 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(setminusSubset1, axiom, setminusSubset1 = 119.96/23.67 (![A:$i,B:$i]: 119.96/23.67 ( ( ( setminus @ A @ B ) = ( emptyset ) ) => ( subset @ A @ B ) ))). 119.96/23.67 thf('53', plain, 119.96/23.67 (( setminusSubset1 ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( ( setminus @ X4 @ X6 ) = ( emptyset ) ) => ( subset @ X4 @ X6 ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(setminusLsub, axiom, setminusLsub = 119.96/23.67 (![A:$i,B:$i]: ( subset @ ( setminus @ A @ B ) @ A ))). 119.96/23.67 thf('54', plain, 119.96/23.67 (( setminusLsub ) = 119.96/23.67 ( ![X4:$i,X6:$i]: ( subset @ ( setminus @ X4 @ X6 ) @ X4 ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(setminusIRneg, axiom, setminusIRneg = 119.96/23.67 (![A:$i,B:$i,Xx:$i]: 119.96/23.67 ( ( in @ Xx @ B ) => ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 119.96/23.67 thf('55', plain, 119.96/23.67 (( setminusIRneg ) = 119.96/23.67 ( ![X4:$i,X6:$i,X8:$i]: 119.96/23.67 ( ( in @ X8 @ X6 ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(setminusILneg, axiom, setminusILneg = 119.96/23.67 (![A:$i,B:$i,Xx:$i]: 119.96/23.67 ( ( ~( in @ Xx @ A ) ) => ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 119.96/23.67 thf('56', plain, 119.96/23.67 (( setminusILneg ) = 119.96/23.67 ( ![X4:$i,X6:$i,X8:$i]: 119.96/23.67 ( ( ~( in @ X8 @ X4 ) ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(setminusELneg, axiom, setminusELneg = 119.96/23.67 (![A:$i,B:$i,Xx:$i]: 119.96/23.67 ( ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) => 119.96/23.67 ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))). 119.96/23.67 thf('57', plain, 119.96/23.67 (( setminusELneg ) = 119.96/23.67 ( ![X4:$i,X6:$i,X8:$i]: 119.96/23.67 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => 119.96/23.67 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(setminusERneg, axiom, setminusERneg = 119.96/23.67 (![A:$i,B:$i,Xx:$i]: 119.96/23.67 ( ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) => 119.96/23.67 ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))). 119.96/23.67 thf('58', plain, 119.96/23.67 (( setminusERneg ) = 119.96/23.67 ( ![X4:$i,X6:$i,X8:$i]: 119.96/23.67 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => 119.96/23.67 ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(setminusSubset2, axiom, setminusSubset2 = 119.96/23.67 (![A:$i,B:$i]: 119.96/23.67 ( ( subset @ A @ B ) => ( ( setminus @ A @ B ) = ( emptyset ) ) ))). 119.96/23.67 thf('59', plain, 119.96/23.67 (( setminusSubset2 ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( subset @ X4 @ X6 ) => ( ( setminus @ X4 @ X6 ) = ( emptyset ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(setminusER, axiom, setminusER = 119.96/23.67 (![A:$i,B:$i,Xx:$i]: 119.96/23.67 ( ( in @ Xx @ ( setminus @ A @ B ) ) => ( ~( in @ Xx @ B ) ) ))). 119.96/23.67 thf('60', plain, 119.96/23.67 (( setminusER ) = 119.96/23.67 ( ![X4:$i,X6:$i,X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( setminus @ X4 @ X6 ) ) => ( ~( in @ X8 @ X6 ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(setminusEL, axiom, setminusEL = 119.96/23.67 (![A:$i,B:$i,Xx:$i]: 119.96/23.67 ( ( in @ Xx @ ( setminus @ A @ B ) ) => ( in @ Xx @ A ) ))). 119.96/23.67 thf('61', plain, 119.96/23.67 (( setminusEL ) = 119.96/23.67 ( ![X4:$i,X6:$i,X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( setminus @ X4 @ X6 ) ) => ( in @ X8 @ X4 ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(setminusI, axiom, setminusI = 119.96/23.67 (![A:$i,B:$i,Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ( ~( in @ Xx @ B ) ) => ( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 119.96/23.67 thf('62', plain, 119.96/23.67 (( setminusI ) = 119.96/23.67 ( ![X4:$i,X6:$i,X8:$i]: 119.96/23.67 ( ( in @ X8 @ X4 ) => 119.96/23.67 ( ( ~( in @ X8 @ X6 ) ) => ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(bs114d, axiom, bs114d = 119.96/23.67 (![A:$i,B:$i,C:$i]: 119.96/23.67 ( ( binintersect @ A @ ( binunion @ B @ C ) ) = 119.96/23.67 ( binunion @ ( binintersect @ A @ B ) @ ( binintersect @ A @ C ) ) ))). 119.96/23.67 thf('63', plain, 119.96/23.67 (( bs114d ) = 119.96/23.67 ( ![X4:$i,X6:$i,X8:$i]: 119.96/23.67 ( ( binintersect @ X4 @ ( binunion @ X6 @ X8 ) ) = 119.96/23.67 ( binunion @ ( binintersect @ X4 @ X6 ) @ ( binintersect @ X4 @ X8 ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(binintersectSubset1, axiom, binintersectSubset1 = 119.96/23.67 (![A:$i,B:$i]: 119.96/23.67 ( ( ( binintersect @ A @ B ) = ( A ) ) => ( subset @ A @ B ) ))). 119.96/23.67 thf('64', plain, 119.96/23.67 (( binintersectSubset1 ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( ( binintersect @ X4 @ X6 ) = ( X4 ) ) => ( subset @ X4 @ X6 ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(binintersectSubset4, axiom, binintersectSubset4 = 119.96/23.67 (![A:$i,B:$i]: 119.96/23.67 ( ( subset @ B @ A ) => ( ( binintersect @ A @ B ) = ( B ) ) ))). 119.96/23.67 thf('65', plain, 119.96/23.67 (( binintersectSubset4 ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( subset @ X6 @ X4 ) => ( ( binintersect @ X4 @ X6 ) = ( X6 ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(binintersectRsub, axiom, binintersectRsub = 119.96/23.67 (![A:$i,B:$i]: ( subset @ ( binintersect @ A @ B ) @ B ))). 119.96/23.67 thf('66', plain, 119.96/23.67 (( binintersectRsub ) = 119.96/23.67 ( ![X4:$i,X6:$i]: ( subset @ ( binintersect @ X4 @ X6 ) @ X6 ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(disjointsetsI1, axiom, disjointsetsI1 = 119.96/23.67 (![A:$i,B:$i]: 119.96/23.67 ( ( ~( ?[Xx:$i]: ( ( in @ Xx @ B ) & ( in @ Xx @ A ) ) ) ) => 119.96/23.67 ( ( binintersect @ A @ B ) = ( emptyset ) ) ))). 119.96/23.67 thf('67', plain, 119.96/23.67 (( disjointsetsI1 ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( ~( ?[X8:$i]: ( ( in @ X8 @ X6 ) & ( in @ X8 @ X4 ) ) ) ) => 119.96/23.67 ( ( binintersect @ X4 @ X6 ) = ( emptyset ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(binintersectER, axiom, binintersectER = 119.96/23.67 (![A:$i,B:$i,Xx:$i]: 119.96/23.67 ( ( in @ Xx @ ( binintersect @ A @ B ) ) => ( in @ Xx @ B ) ))). 119.96/23.67 thf('68', plain, 119.96/23.67 (( binintersectER ) = 119.96/23.67 ( ![X4:$i,X6:$i,X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) => ( in @ X8 @ X6 ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(binintersectSubset3, axiom, binintersectSubset3 = 119.96/23.67 (![A:$i,B:$i]: 119.96/23.67 ( ( ( binintersect @ A @ B ) = ( B ) ) => ( subset @ B @ A ) ))). 119.96/23.67 thf('69', plain, 119.96/23.67 (( binintersectSubset3 ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( ( binintersect @ X4 @ X6 ) = ( X6 ) ) => ( subset @ X6 @ X4 ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(binintersectSubset2, axiom, binintersectSubset2 = 119.96/23.67 (![A:$i,B:$i]: 119.96/23.67 ( ( subset @ A @ B ) => ( ( binintersect @ A @ B ) = ( A ) ) ))). 119.96/23.67 thf('70', plain, 119.96/23.67 (( binintersectSubset2 ) = 119.96/23.67 ( ![X4:$i,X6:$i]: 119.96/23.67 ( ( subset @ X4 @ X6 ) => ( ( binintersect @ X4 @ X6 ) = ( X4 ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(binintersectLsub, axiom, binintersectLsub = 119.96/23.67 (![A:$i,B:$i]: ( subset @ ( binintersect @ A @ B ) @ A ))). 119.96/23.67 thf('71', plain, 119.96/23.67 (( binintersectLsub ) = 119.96/23.67 ( ![X4:$i,X6:$i]: ( subset @ ( binintersect @ X4 @ X6 ) @ X4 ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(binintersectEL, axiom, binintersectEL = 119.96/23.67 (![A:$i,B:$i,Xx:$i]: 119.96/23.67 ( ( in @ Xx @ ( binintersect @ A @ B ) ) => ( in @ Xx @ A ) ))). 119.96/23.67 thf('72', plain, 119.96/23.67 (( binintersectEL ) = 119.96/23.67 ( ![X4:$i,X6:$i,X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) => ( in @ X8 @ X4 ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(binintersectSubset5, axiom, binintersectSubset5 = 119.96/23.67 (![A:$i,B:$i,C:$i]: 119.96/23.67 ( ( subset @ C @ A ) => 119.96/23.67 ( ( subset @ C @ B ) => ( subset @ C @ ( binintersect @ A @ B ) ) ) ))). 119.96/23.67 thf('73', plain, 119.96/23.67 (( binintersectSubset5 ) = 119.96/23.67 ( ![X4:$i,X6:$i,X8:$i]: 119.96/23.67 ( ( subset @ X8 @ X4 ) => 119.96/23.67 ( ( subset @ X8 @ X6 ) => 119.96/23.67 ( subset @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(binintersectI, axiom, binintersectI = 119.96/23.67 (![A:$i,B:$i,Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => 119.96/23.67 ( ( in @ Xx @ B ) => ( in @ Xx @ ( binintersect @ A @ B ) ) ) ))). 119.96/23.67 thf('74', plain, 119.96/23.67 (( binintersectI ) = 119.96/23.67 ( ![X4:$i,X6:$i,X8:$i]: 119.96/23.67 ( ( in @ X8 @ X4 ) => 119.96/23.67 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(binunionRsub, axiom, binunionRsub = 119.96/23.67 (![A:$i,B:$i]: ( subset @ B @ ( binunion @ A @ B ) ))). 119.96/23.67 thf('75', plain, 119.96/23.67 (( binunionRsub ) = 119.96/23.67 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( binunion @ X4 @ X6 ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(binunionLsub, axiom, binunionLsub = 119.96/23.67 (![A:$i,B:$i]: ( subset @ A @ ( binunion @ A @ B ) ))). 119.96/23.67 thf('76', plain, 119.96/23.67 (( binunionLsub ) = 119.96/23.67 ( ![X4:$i,X6:$i]: ( subset @ X4 @ ( binunion @ X4 @ X6 ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(binunionE, axiom, binunionE = 119.96/23.67 (![A:$i,B:$i,Xx:$i]: 119.96/23.67 ( ( in @ Xx @ ( binunion @ A @ B ) ) => 119.96/23.67 ( ( in @ Xx @ A ) | ( in @ Xx @ B ) ) ))). 119.96/23.67 thf('77', plain, 119.96/23.67 (( binunionE ) = 119.96/23.67 ( ![X4:$i,X6:$i,X8:$i]: 119.96/23.67 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) => 119.96/23.67 ( ( in @ X8 @ X4 ) | ( in @ X8 @ X6 ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(binunionEcases, axiom, binunionEcases = 119.96/23.67 (![A:$i,B:$i,Xx:$i,Xphi:$o]: 119.96/23.67 ( ( in @ Xx @ ( binunion @ A @ B ) ) => 119.96/23.67 ( ( ( in @ Xx @ A ) => ( Xphi ) ) => 119.96/23.67 ( ( ( in @ Xx @ B ) => ( Xphi ) ) => ( Xphi ) ) ) ))). 119.96/23.67 thf('78', plain, 119.96/23.67 (( binunionEcases ) = 119.96/23.67 ( ![X4:$i,X6:$i,X8:$i,X10:$o]: 119.96/23.67 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) => 119.96/23.67 ( ( ( in @ X8 @ X4 ) => ( X10 ) ) => 119.96/23.67 ( ( ( in @ X8 @ X6 ) => ( X10 ) ) => ( X10 ) ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(binunionIR, axiom, binunionIR = 119.96/23.67 (![A:$i,B:$i,Xx:$i]: 119.96/23.67 ( ( in @ Xx @ B ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))). 119.96/23.67 thf('79', plain, 119.96/23.67 (( binunionIR ) = 119.96/23.67 ( ![X4:$i,X6:$i,X8:$i]: 119.96/23.67 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(binunionIL, axiom, binunionIL = 119.96/23.67 (![A:$i,B:$i,Xx:$i]: 119.96/23.67 ( ( in @ Xx @ A ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))). 119.96/23.67 thf('80', plain, 119.96/23.67 (( binunionIL ) = 119.96/23.67 ( ![X4:$i,X6:$i,X8:$i]: 119.96/23.67 ( ( in @ X8 @ X4 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )), 119.96/23.67 define([status(thm)])). 119.96/23.67 thf(woz1_2, conjecture, 119.96/23.67 (( setextAx ) => 119.96/23.67 ( ( emptysetAx ) => 119.96/23.67 ( ( setadjoinAx ) => 119.96/23.67 ( ( powersetAx ) => 119.96/23.67 ( ( setunionAx ) => 119.96/23.67 ( ( omega0Ax ) => 119.96/23.67 ( ( omegaSAx ) => 119.96/23.67 ( ( omegaIndAx ) => 119.96/23.67 ( ( replAx ) => 119.96/23.67 ( ( foundationAx ) => 119.96/23.67 ( ( wellorderingAx ) => 119.96/23.67 ( ( descrp ) => 119.96/23.67 ( ( dsetconstrI ) => 119.96/23.67 ( ( dsetconstrEL ) => 119.96/23.67 ( ( dsetconstrER ) => 119.96/23.67 ( ( exuE1 ) => 119.96/23.67 ( ( prop2setE ) => 119.96/23.67 ( ( emptysetE ) => 119.96/23.67 ( ( emptysetimpfalse ) => 119.96/23.67 ( ( notinemptyset ) => 119.96/23.67 ( ( exuE3e ) => 119.96/23.67 ( ( setext ) => 119.96/23.67 ( ( emptyI ) => 119.96/23.67 ( ( noeltsimpempty ) => 119.96/23.67 ( ( setbeta ) => 119.96/23.67 ( ( nonemptyE1 ) => 119.96/23.67 ( ( nonemptyI ) => 119.96/23.67 ( ( nonemptyI1 ) => 119.96/23.67 ( ( setadjoinIL ) => 119.96/23.67 ( ( emptyinunitempty ) => 119.96/23.67 ( ( setadjoinIR ) => 119.96/23.67 ( ( setadjoinE ) => 119.96/23.67 ( ( 119.96/23.67 setadjoinOr ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setoftrueEq ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 powersetI ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 emptyinPowerset ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 emptyInPowerset ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 powersetE ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setunionI ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setunionE ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 subPowSU ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 exuE2 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 nonemptyImpWitness ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 uniqinunit ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 notinsingleton ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 eqinunit ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 singletonsswitch ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 upairsetE ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 upairsetIL ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 upairsetIR ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 emptyE1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 vacuousDall ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 quantDeMorgan1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 quantDeMorgan2 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 quantDeMorgan3 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 quantDeMorgan4 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 prop2setI ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 prop2set2propI ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 notdexE ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 notdallE ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 exuI1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 exuI3 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 exuI2 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 inCongP ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 in__Cong ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 exuE3u ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 exu__Cong ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 emptyset__Cong ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setadjoin__Cong ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 powerset__Cong ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setunion__Cong ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 omega__Cong ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 exuEu ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 descr__Cong ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 dsetconstr__Cong ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 subsetI1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 eqimpsubset2 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 eqimpsubset1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 subsetI2 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 emptysetsubset ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 subsetE ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 subsetE2 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 notsubsetI ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 notequalI1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 notequalI2 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 subsetRefl ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 subsetTrans ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setadjoinSub ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setadjoinSub2 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 subset2powerset ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setextsub ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 subsetemptysetimpeq ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 powersetI1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 powersetE1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 inPowerset ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 powersetsubset ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 sepInPowerset ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 sepSubset ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 binunionIL ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 upairset2IR ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 binunionIR ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 binunionEcases ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 binunionE ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 binunionLsub ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 binunionRsub ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 binintersectI ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 binintersectSubset5 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 binintersectEL ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 binintersectLsub ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 binintersectSubset2 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 binintersectSubset3 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 binintersectER ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 disjointsetsI1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 binintersectRsub ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 binintersectSubset4 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 binintersectSubset1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 bs114d ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setminusI ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setminusEL ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setminusER ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setminusSubset2 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setminusERneg ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setminusELneg ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setminusILneg ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setminusIRneg ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setminusLsub ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setminusSubset1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 symdiffE ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 symdiffI1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 symdiffI2 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 symdiffIneg1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 symdiffIneg2 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 secondinupair ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setukpairIL ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setukpairIR ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 kpairiskpair ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 kpairp ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 singletonsubset ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 singletoninpowerset ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 singletoninpowunion ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 upairset2E ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 upairsubunion ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 upairinpowunion ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 ubforcartprodlem1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 ubforcartprodlem2 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 ubforcartprodlem3 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 cartprodpairin ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 cartprodmempair1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 cartprodmempair ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setunionE2 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setunionsingleton1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setunionsingleton2 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setunionsingleton ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 singletonprop ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 ex1E1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 ex1I ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 ex1I2 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 singletonsuniq ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setukpairinjL1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 kfstsingleton ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 theprop ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 kfstpairEq ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 cartprodfstin ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setukpairinjL2 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setukpairinjL ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setukpairinjR11 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setukpairinjR12 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setukpairinjR1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 upairequniteq ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setukpairinjR2 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setukpairinjR ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 ksndsingleton ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 ksndpairEq ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 kpairsurjEq ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 cartprodsndin ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 cartprodpairmemEL ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 cartprodpairmemER ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 cartprodmempaircEq ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 cartprodfstpairEq ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 cartprodsndpairEq ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 cartprodpairsurjEq ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 dpsetconstrI ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 dpsetconstrSub ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setOfPairsIsBReln ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 dpsetconstrERa ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 dpsetconstrEL1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 dpsetconstrEL2 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 dpsetconstrER ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 funcImageSingleton ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 apProp ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 app ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 infuncsetfunc ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 ap2p ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 funcinfuncset ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 lamProp ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 lamp ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 lam2p ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 brelnall1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 brelnall2 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 ex1E2 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 funcGraphProp1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 funcGraphProp3 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 funcGraphProp2 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 funcextLem ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 funcGraphProp4 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 subbreln ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 eqbreln ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 funcext ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 funcext2 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 ap2apEq1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 ap2apEq2 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 beta1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 eta1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 lam2lamEq ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 beta2 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 eta2 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 iffalseProp1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 iffalseProp2 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 iftrueProp1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 iftrueProp2 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 ifSingleton ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 ifp ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 theeq ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 iftrue ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 iffalse ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 iftrueorfalse ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 binintersectT_lem ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 binunionT_lem ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 powersetT_lem ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setminusT_lem ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 complementT_lem ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 setextT ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 subsetTI ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 powersetTI1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 powersetTE1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 complementTI1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 complementTE1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 binintersectTELcontra ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 binintersectTERcontra ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 contrasubsetT ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 contrasubsetT1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 contrasubsetT2 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 contrasubsetT3 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 doubleComplementI1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 doubleComplementE1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 doubleComplementSub1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 doubleComplementSub2 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 doubleComplementEq ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 complementTnotintersectT ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 complementImpComplementIntersect ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 complementSubsetComplementIntersect ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 complementInPowersetComplementIntersect ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 contraSubsetComplement ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 complementTcontraSubset ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 binunionTILcontra ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 binunionTIRcontra ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 inIntersectImpInUnion ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 inIntersectImpInUnion2 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 inIntersectImpInIntersectUnions ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 intersectInPowersetIntersectUnions ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 inComplementUnionImpNotIn1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 inComplementUnionImpInComplement1 ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.67 binunionTE ) => 119.96/23.67 ( 119.96/23.67 ( 119.96/23.68 binunionTEcontra ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 demorgan2a1 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 complementUnionInPowersetComplement ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 demorgan2a2 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 demorgan1a ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 demorgan1b ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 demorgan1 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 demorgan2a ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 demorgan2b2 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 demorgan2b ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 demorgan2 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 woz13rule0 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 woz13rule1 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 woz13rule2 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 woz13rule3 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 woz13rule4 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 woz1_1 ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 A:$i,X:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 A ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 Y:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 Y @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 A ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 Z:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 Z @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 A ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 W:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 W @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 A ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 A @ 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 X @ Y ) @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 Z @ W ) ) ) = 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 A @ X ) @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 A @ Y ) ) @ 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 A @ Z ) @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 A @ W ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 119.96/23.68 thf(zf_stmt_0, conjecture, 119.96/23.68 (( setextAx ) => 119.96/23.68 ( ( emptysetAx ) => 119.96/23.68 ( ( setadjoinAx ) => 119.96/23.68 ( ( powersetAx ) => 119.96/23.68 ( ( setunionAx ) => 119.96/23.68 ( ( omega0Ax ) => 119.96/23.68 ( ( omegaSAx ) => 119.96/23.68 ( ( omegaIndAx ) => 119.96/23.68 ( ( replAx ) => 119.96/23.68 ( ( foundationAx ) => 119.96/23.68 ( ( wellorderingAx ) => 119.96/23.68 ( ( descrp ) => 119.96/23.68 ( ( dsetconstrI ) => 119.96/23.68 ( ( dsetconstrEL ) => 119.96/23.68 ( ( dsetconstrER ) => 119.96/23.68 ( ( exuE1 ) => 119.96/23.68 ( ( prop2setE ) => 119.96/23.68 ( ( emptysetE ) => 119.96/23.68 ( ( emptysetimpfalse ) => 119.96/23.68 ( ( notinemptyset ) => 119.96/23.68 ( ( exuE3e ) => 119.96/23.68 ( ( setext ) => 119.96/23.68 ( ( emptyI ) => 119.96/23.68 ( ( noeltsimpempty ) => 119.96/23.68 ( ( setbeta ) => 119.96/23.68 ( ( nonemptyE1 ) => 119.96/23.68 ( ( nonemptyI ) => 119.96/23.68 ( ( nonemptyI1 ) => 119.96/23.68 ( ( setadjoinIL ) => 119.96/23.68 ( ( emptyinunitempty ) => 119.96/23.68 ( ( setadjoinIR ) => 119.96/23.68 ( ( setadjoinE ) => 119.96/23.68 ( ( 119.96/23.68 setadjoinOr ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 setoftrueEq ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 powersetI ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 emptyinPowerset ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 emptyInPowerset ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 powersetE ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 setunionI ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 setunionE ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 subPowSU ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 exuE2 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 nonemptyImpWitness ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 uniqinunit ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 notinsingleton ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 eqinunit ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 singletonsswitch ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 upairsetE ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 upairsetIL ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 upairsetIR ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 emptyE1 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 vacuousDall ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 quantDeMorgan1 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 quantDeMorgan2 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 quantDeMorgan3 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 quantDeMorgan4 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 prop2setI ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 prop2set2propI ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 notdexE ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 notdallE ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 exuI1 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 exuI3 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 exuI2 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 inCongP ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in__Cong ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 exuE3u ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 exu__Cong ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 emptyset__Cong ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 setadjoin__Cong ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 powerset__Cong ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 setunion__Cong ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 omega__Cong ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 exuEu ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 descr__Cong ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 dsetconstr__Cong ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 subsetI1 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 eqimpsubset2 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 eqimpsubset1 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 subsetI2 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 emptysetsubset ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 subsetE ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 subsetE2 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 notsubsetI ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 notequalI1 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 notequalI2 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 subsetRefl ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 subsetTrans ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 setadjoinSub ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 setadjoinSub2 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 subset2powerset ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 setextsub ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 subsetemptysetimpeq ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 powersetI1 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 powersetE1 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 inPowerset ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 powersetsubset ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 sepInPowerset ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 sepSubset ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X4:$i, 119.96/23.68 X6:$i, 119.96/23.68 X8:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X8 @ X4 ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X8 @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 X4 @ X6 ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 upairset2IR ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X10:$i, 119.96/23.68 X12:$i, 119.96/23.68 X14:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X14 @ X12 ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X14 @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 X10 @ X12 ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X16:$i, 119.96/23.68 X18:$i, 119.96/23.68 X20:$i, 119.96/23.68 X22:$o]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X20 @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 X16 @ X18 ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X20 @ X16 ) => 119.96/23.68 ( 119.96/23.68 X22 ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X20 @ X18 ) => 119.96/23.68 ( 119.96/23.68 X22 ) ) => 119.96/23.68 ( 119.96/23.68 X22 ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X24:$i, 119.96/23.68 X26:$i, 119.96/23.68 X28:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X28 @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 X24 @ X26 ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X28 @ X24 ) | 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X28 @ X26 ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X30:$i, 119.96/23.68 X32:$i]: 119.96/23.68 ( 119.96/23.68 subset @ 119.96/23.68 X30 @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 X30 @ X32 ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X34:$i, 119.96/23.68 X36:$i]: 119.96/23.68 ( 119.96/23.68 subset @ 119.96/23.68 X36 @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 X34 @ X36 ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X38:$i, 119.96/23.68 X40:$i, 119.96/23.68 X42:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X42 @ X38 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X42 @ X40 ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X42 @ 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 X38 @ X40 ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X44:$i, 119.96/23.68 X46:$i, 119.96/23.68 X48:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 subset @ 119.96/23.68 X48 @ X44 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 subset @ 119.96/23.68 X48 @ X46 ) => 119.96/23.68 ( 119.96/23.68 subset @ 119.96/23.68 X48 @ 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 X44 @ X46 ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X50:$i, 119.96/23.68 X52:$i, 119.96/23.68 X54:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X54 @ 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 X50 @ X52 ) ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X54 @ X50 ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X56:$i, 119.96/23.68 X58:$i]: 119.96/23.68 ( 119.96/23.68 subset @ 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 X56 @ X58 ) @ 119.96/23.68 X56 ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X60:$i, 119.96/23.68 X62:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 subset @ 119.96/23.68 X60 @ X62 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 X60 @ X62 ) = 119.96/23.68 ( 119.96/23.68 X60 ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X64:$i, 119.96/23.68 X66:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 X64 @ X66 ) = 119.96/23.68 ( 119.96/23.68 X66 ) ) => 119.96/23.68 ( 119.96/23.68 subset @ 119.96/23.68 X66 @ X64 ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X68:$i, 119.96/23.68 X70:$i, 119.96/23.68 X72:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X72 @ 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 X68 @ X70 ) ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X72 @ X70 ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X74:$i, 119.96/23.68 X76:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ~( 119.96/23.68 ?[ 119.96/23.68 X78:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X78 @ X76 ) & 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X78 @ X74 ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 X74 @ X76 ) = 119.96/23.68 ( 119.96/23.68 emptyset ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X80:$i, 119.96/23.68 X82:$i]: 119.96/23.68 ( 119.96/23.68 subset @ 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 X80 @ X82 ) @ 119.96/23.68 X82 ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X84:$i, 119.96/23.68 X86:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 subset @ 119.96/23.68 X86 @ X84 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 X84 @ X86 ) = 119.96/23.68 ( 119.96/23.68 X86 ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X88:$i, 119.96/23.68 X90:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 X88 @ X90 ) = 119.96/23.68 ( 119.96/23.68 X88 ) ) => 119.96/23.68 ( 119.96/23.68 subset @ 119.96/23.68 X88 @ X90 ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X92:$i, 119.96/23.68 X94:$i, 119.96/23.68 X96:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 X92 @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 X94 @ X96 ) ) = 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 X92 @ X94 ) @ 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 X92 @ X96 ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X98:$i, 119.96/23.68 X100:$i, 119.96/23.68 X102:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X102 @ X98 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ~( 119.96/23.68 in @ 119.96/23.68 X102 @ 119.96/23.68 X100 ) ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X102 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X98 @ X100 ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X104:$i, 119.96/23.68 X106:$i, 119.96/23.68 X108:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X108 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X104 @ 119.96/23.68 X106 ) ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X108 @ 119.96/23.68 X104 ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X110:$i, 119.96/23.68 X112:$i, 119.96/23.68 X114:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X114 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X110 @ 119.96/23.68 X112 ) ) => 119.96/23.68 ( 119.96/23.68 ~( 119.96/23.68 in @ 119.96/23.68 X114 @ 119.96/23.68 X112 ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X116:$i, 119.96/23.68 X118:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 subset @ 119.96/23.68 X116 @ 119.96/23.68 X118 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X116 @ 119.96/23.68 X118 ) = 119.96/23.68 ( 119.96/23.68 emptyset ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X120:$i, 119.96/23.68 X122:$i, 119.96/23.68 X124:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ~( 119.96/23.68 in @ 119.96/23.68 X124 @ 119.96/23.68 ( 119.96/23.68 setminus 119.96/23.68 @ 119.96/23.68 X120 @ 119.96/23.68 X122 ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X124 @ 119.96/23.68 X120 ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X124 @ 119.96/23.68 X122 ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X126:$i, 119.96/23.68 X128:$i, 119.96/23.68 X130:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ~( 119.96/23.68 in @ 119.96/23.68 X130 @ 119.96/23.68 ( 119.96/23.68 setminus 119.96/23.68 @ 119.96/23.68 X126 @ 119.96/23.68 X128 ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ~( 119.96/23.68 in @ 119.96/23.68 X130 @ 119.96/23.68 X128 ) ) => 119.96/23.68 ( 119.96/23.68 ~( 119.96/23.68 in @ 119.96/23.68 X130 @ 119.96/23.68 X126 ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X132:$i, 119.96/23.68 X134:$i, 119.96/23.68 X136:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ~( 119.96/23.68 in @ 119.96/23.68 X136 @ 119.96/23.68 X132 ) ) => 119.96/23.68 ( 119.96/23.68 ~( 119.96/23.68 in @ 119.96/23.68 X136 @ 119.96/23.68 ( 119.96/23.68 setminus 119.96/23.68 @ 119.96/23.68 X132 @ 119.96/23.68 X134 ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X138:$i, 119.96/23.68 X140:$i, 119.96/23.68 X142:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X142 @ 119.96/23.68 X140 ) => 119.96/23.68 ( 119.96/23.68 ~( 119.96/23.68 in @ 119.96/23.68 X142 @ 119.96/23.68 ( 119.96/23.68 setminus 119.96/23.68 @ 119.96/23.68 X138 @ 119.96/23.68 X140 ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X144:$i, 119.96/23.68 X146:$i]: 119.96/23.68 ( 119.96/23.68 subset @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X144 @ 119.96/23.68 X146 ) @ 119.96/23.68 X144 ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X148:$i, 119.96/23.68 X150:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X148 @ 119.96/23.68 X150 ) = 119.96/23.68 ( 119.96/23.68 emptyset ) ) => 119.96/23.68 ( 119.96/23.68 subset @ 119.96/23.68 X148 @ 119.96/23.68 X150 ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 symdiffE ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 symdiffI1 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 symdiffI2 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 symdiffIneg1 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 symdiffIneg2 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 secondinupair ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 setukpairIL ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 setukpairIR ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 kpairiskpair ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 kpairp ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 singletonsubset ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 singletoninpowerset ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X152:$i, 119.96/23.68 X154:$i, 119.96/23.68 X156:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X156 @ 119.96/23.68 X152 ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 ( 119.96/23.68 setadjoin 119.96/23.68 @ 119.96/23.68 X156 @ 119.96/23.68 emptyset ) @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 X152 @ 119.96/23.68 X154 ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 upairset2E ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X158:$i, 119.96/23.68 X160:$i, 119.96/23.68 X162:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X162 @ 119.96/23.68 X158 ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X164:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X164 @ 119.96/23.68 X160 ) => 119.96/23.68 ( 119.96/23.68 subset @ 119.96/23.68 ( 119.96/23.68 setadjoin 119.96/23.68 @ 119.96/23.68 X162 @ 119.96/23.68 ( 119.96/23.68 setadjoin 119.96/23.68 @ 119.96/23.68 X164 @ 119.96/23.68 emptyset ) ) @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 X158 @ 119.96/23.68 X160 ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X166:$i, 119.96/23.68 X168:$i, 119.96/23.68 X170:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X170 @ 119.96/23.68 X166 ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X172:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X172 @ 119.96/23.68 X168 ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 ( 119.96/23.68 setadjoin 119.96/23.68 @ 119.96/23.68 X170 @ 119.96/23.68 ( 119.96/23.68 setadjoin 119.96/23.68 @ 119.96/23.68 X172 @ 119.96/23.68 emptyset ) ) @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 X166 @ 119.96/23.68 X168 ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X174:$i, 119.96/23.68 X176:$i, 119.96/23.68 X178:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X178 @ 119.96/23.68 X174 ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X180:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X180 @ 119.96/23.68 X176 ) => 119.96/23.68 ( 119.96/23.68 subset @ 119.96/23.68 ( 119.96/23.68 setadjoin 119.96/23.68 @ 119.96/23.68 ( 119.96/23.68 setadjoin 119.96/23.68 @ 119.96/23.68 X178 @ 119.96/23.68 emptyset ) @ 119.96/23.68 ( 119.96/23.68 setadjoin 119.96/23.68 @ 119.96/23.68 ( 119.96/23.68 setadjoin 119.96/23.68 @ 119.96/23.68 X178 @ 119.96/23.68 ( 119.96/23.68 setadjoin 119.96/23.68 @ 119.96/23.68 X180 @ 119.96/23.68 emptyset ) ) @ 119.96/23.68 emptyset ) ) @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 X174 @ 119.96/23.68 X176 ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X182:$i, 119.96/23.68 X184:$i, 119.96/23.68 X186:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X186 @ 119.96/23.68 X182 ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X188:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X188 @ 119.96/23.68 X184 ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 ( 119.96/23.68 setadjoin 119.96/23.68 @ 119.96/23.68 ( 119.96/23.68 setadjoin 119.96/23.68 @ 119.96/23.68 X186 @ 119.96/23.68 emptyset ) @ 119.96/23.68 ( 119.96/23.68 setadjoin 119.96/23.68 @ 119.96/23.68 ( 119.96/23.68 setadjoin 119.96/23.68 @ 119.96/23.68 X186 @ 119.96/23.68 ( 119.96/23.68 setadjoin 119.96/23.68 @ 119.96/23.68 X188 @ 119.96/23.68 emptyset ) ) @ 119.96/23.68 emptyset ) ) @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 X182 @ 119.96/23.68 X184 ) ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ubforcartprodlem3 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 cartprodpairin ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 cartprodmempair1 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 cartprodmempair ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 setunionE2 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 setunionsingleton1 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 setunionsingleton2 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 setunionsingleton ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 singletonprop ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ex1E1 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ex1I ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ex1I2 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 singletonsuniq ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 setukpairinjL1 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 kfstsingleton ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 theprop ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 kfstpairEq ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 cartprodfstin ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 setukpairinjL2 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 setukpairinjL ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 setukpairinjR11 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 setukpairinjR12 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 setukpairinjR1 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 upairequniteq ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 setukpairinjR2 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 setukpairinjR ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ksndsingleton ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ksndpairEq ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 kpairsurjEq ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 cartprodsndin ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 cartprodpairmemEL ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 cartprodpairmemER ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 cartprodmempaircEq ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 cartprodfstpairEq ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 cartprodsndpairEq ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 cartprodpairsurjEq ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 dpsetconstrI ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 dpsetconstrSub ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 setOfPairsIsBReln ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 dpsetconstrERa ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 dpsetconstrEL1 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 dpsetconstrEL2 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 dpsetconstrER ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 funcImageSingleton ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 apProp ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 app ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 infuncsetfunc ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ap2p ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 funcinfuncset ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 lamProp ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 lamp ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 lam2p ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 brelnall1 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 brelnall2 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ex1E2 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 funcGraphProp1 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 funcGraphProp3 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 funcGraphProp2 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 funcextLem ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 funcGraphProp4 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 subbreln ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 eqbreln ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 funcext ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 funcext2 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ap2apEq1 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ap2apEq2 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 beta1 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 eta1 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 lam2lamEq ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 beta2 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 eta2 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 iffalseProp1 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 iffalseProp2 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 iftrueProp1 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 iftrueProp2 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ifSingleton ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ifp ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 theeq ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 iftrue ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 iffalse ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 iftrueorfalse ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X190:$i, 119.96/23.68 X192:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X192 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X190 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X194:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X194 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X190 ) ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 X192 @ 119.96/23.68 X194 ) @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X190 ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X196:$i, 119.96/23.68 X198:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X198 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X196 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X200:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X200 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X196 ) ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 X198 @ 119.96/23.68 X200 ) @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X196 ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 powersetT_lem ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X202:$i, 119.96/23.68 X204:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X204 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X202 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X206:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X206 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X202 ) ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X204 @ 119.96/23.68 X206 ) @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X202 ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X208:$i, 119.96/23.68 X210:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X210 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X208 ) ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X208 @ 119.96/23.68 X210 ) @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X208 ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 setextT ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 subsetTI ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 powersetTI1 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 powersetTE1 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X212:$i, 119.96/23.68 X214:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X214 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X212 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X216:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X216 @ 119.96/23.68 X212 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X216 @ 119.96/23.68 X214 ) => 119.96/23.68 ( 119.96/23.68 ~( 119.96/23.68 in @ 119.96/23.68 X216 @ 119.96/23.68 ( 119.96/23.68 setminus 119.96/23.68 @ 119.96/23.68 X212 @ 119.96/23.68 X214 ) ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X218:$i, 119.96/23.68 X220:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X220 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X218 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X222:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X222 @ 119.96/23.68 X218 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ~( 119.96/23.68 in @ 119.96/23.68 X222 @ 119.96/23.68 ( 119.96/23.68 setminus 119.96/23.68 @ 119.96/23.68 X218 @ 119.96/23.68 X220 ) ) ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X222 @ 119.96/23.68 X220 ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X224:$i, 119.96/23.68 X226:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X226 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X224 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X228:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X228 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X224 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X230:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X230 @ 119.96/23.68 X224 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ~( 119.96/23.68 in @ 119.96/23.68 X230 @ 119.96/23.68 X226 ) ) => 119.96/23.68 ( 119.96/23.68 ~( 119.96/23.68 in @ 119.96/23.68 X230 @ 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 X226 @ 119.96/23.68 X228 ) ) ) ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X232:$i, 119.96/23.68 X234:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X234 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X232 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X236:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X236 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X232 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X238:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X238 @ 119.96/23.68 X232 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ~( 119.96/23.68 in @ 119.96/23.68 X238 @ 119.96/23.68 X236 ) ) => 119.96/23.68 ( 119.96/23.68 ~( 119.96/23.68 in @ 119.96/23.68 X238 @ 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 X234 @ 119.96/23.68 X236 ) ) ) ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X240:$i, 119.96/23.68 X242:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X242 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X240 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X244:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X244 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X240 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X246:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X246 @ 119.96/23.68 X240 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 subset @ 119.96/23.68 X242 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X240 @ 119.96/23.68 X244 ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X246 @ 119.96/23.68 X244 ) => 119.96/23.68 ( 119.96/23.68 ~( 119.96/23.68 in @ 119.96/23.68 X246 @ 119.96/23.68 X242 ) ) ) ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 contrasubsetT1 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X248:$i, 119.96/23.68 X250:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X250 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X248 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X252:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X252 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X248 ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 subset @ 119.96/23.68 X250 @ 119.96/23.68 X252 ) => 119.96/23.68 ( 119.96/23.68 subset @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X248 @ 119.96/23.68 X252 ) @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X248 @ 119.96/23.68 X250 ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X254:$i, 119.96/23.68 X256:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X256 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X254 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X258:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X258 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X254 ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 subset @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X254 @ 119.96/23.68 X258 ) @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X254 @ 119.96/23.68 X256 ) ) => 119.96/23.68 ( 119.96/23.68 subset @ 119.96/23.68 X256 @ 119.96/23.68 X258 ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X260:$i, 119.96/23.68 X262:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X262 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X260 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X264:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X264 @ 119.96/23.68 X260 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X264 @ 119.96/23.68 X262 ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X264 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X260 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X260 @ 119.96/23.68 X262 ) ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X266:$i, 119.96/23.68 X268:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X268 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X266 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X270:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X270 @ 119.96/23.68 X266 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X270 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X266 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X266 @ 119.96/23.68 X268 ) ) ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X270 @ 119.96/23.68 X268 ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X272:$i, 119.96/23.68 X274:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X274 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X272 ) ) => 119.96/23.68 ( 119.96/23.68 subset @ 119.96/23.68 X274 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X272 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X272 @ 119.96/23.68 X274 ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X276:$i, 119.96/23.68 X278:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X278 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X276 ) ) => 119.96/23.68 ( 119.96/23.68 subset @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X276 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X276 @ 119.96/23.68 X278 ) ) @ 119.96/23.68 X278 ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X280:$i, 119.96/23.68 X282:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X282 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X280 ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 X282 ) = 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X280 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X280 @ 119.96/23.68 X282 ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X284:$i, 119.96/23.68 X286:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X286 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X284 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X288:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X288 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X284 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X290:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X290 @ 119.96/23.68 X284 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X290 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X284 @ 119.96/23.68 X286 ) ) => 119.96/23.68 ( 119.96/23.68 ~( 119.96/23.68 in @ 119.96/23.68 X290 @ 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 X286 @ 119.96/23.68 X288 ) ) ) ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X292:$i, 119.96/23.68 X294:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X294 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X292 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X296:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X296 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X292 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X298:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X298 @ 119.96/23.68 X292 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X298 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X292 @ 119.96/23.68 X294 ) ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X298 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X292 @ 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 X294 @ 119.96/23.68 X296 ) ) ) ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X300:$i, 119.96/23.68 X302:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X302 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X300 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X304:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X304 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X300 ) ) => 119.96/23.68 ( 119.96/23.68 subset @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X300 @ 119.96/23.68 X302 ) @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X300 @ 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 X302 @ 119.96/23.68 X304 ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X306:$i, 119.96/23.68 X308:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X308 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X306 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X310:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X310 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X306 ) ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X306 @ 119.96/23.68 X308 ) @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X306 @ 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 X308 @ 119.96/23.68 X310 ) ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X312:$i, 119.96/23.68 X314:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X314 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X312 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X316:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X316 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X312 ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 subset @ 119.96/23.68 X314 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X312 @ 119.96/23.68 X316 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X318:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X318 @ 119.96/23.68 X312 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X318 @ 119.96/23.68 X316 ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X318 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X312 @ 119.96/23.68 X314 ) ) ) ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X320:$i, 119.96/23.68 X322:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X322 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X320 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X324:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X324 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X320 ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 subset @ 119.96/23.68 X322 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X320 @ 119.96/23.68 X324 ) ) => 119.96/23.68 ( 119.96/23.68 subset @ 119.96/23.68 X324 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X320 @ 119.96/23.68 X322 ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X326:$i, 119.96/23.68 X328:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X328 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X326 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X330:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X330 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X326 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X332:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X332 @ 119.96/23.68 X326 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ~( 119.96/23.68 in @ 119.96/23.68 X332 @ 119.96/23.68 ( 119.96/23.68 binunion 119.96/23.68 @ 119.96/23.68 X328 @ 119.96/23.68 X330 ) ) ) => 119.96/23.68 ( 119.96/23.68 ~( 119.96/23.68 in @ 119.96/23.68 X332 @ 119.96/23.68 X328 ) ) ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X334:$i, 119.96/23.68 X336:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X336 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X334 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X338:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X338 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X334 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X340:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X340 @ 119.96/23.68 X334 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ~( 119.96/23.68 in @ 119.96/23.68 X340 @ 119.96/23.68 ( 119.96/23.68 binunion 119.96/23.68 @ 119.96/23.68 X336 @ 119.96/23.68 X338 ) ) ) => 119.96/23.68 ( 119.96/23.68 ~( 119.96/23.68 in @ 119.96/23.68 X340 @ 119.96/23.68 X338 ) ) ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X342:$i, 119.96/23.68 X344:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X344 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X342 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X346:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X346 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X342 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X348:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X348 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X342 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X350:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X350 @ 119.96/23.68 X342 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X350 @ 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 X344 @ 119.96/23.68 X346 ) ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X350 @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 X344 @ 119.96/23.68 X348 ) ) ) ) ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X352:$i, 119.96/23.68 X354:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X354 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X352 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X356:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X356 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X352 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X358:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X358 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X352 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X360:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X360 @ 119.96/23.68 X352 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X360 @ 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 X354 @ 119.96/23.68 X356 ) ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X360 @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 X356 @ 119.96/23.68 X358 ) ) ) ) ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X362:$i, 119.96/23.68 X364:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X364 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X362 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X366:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X366 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X362 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X368:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X368 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X362 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X370:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X370 @ 119.96/23.68 X362 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X370 @ 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 X364 @ 119.96/23.68 X366 ) ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X370 @ 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 X364 @ 119.96/23.68 X368 ) @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 X366 @ 119.96/23.68 X368 ) ) ) ) ) ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X372:$i, 119.96/23.68 X374:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X374 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X372 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X376:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X376 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X372 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X378:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X378 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X372 ) ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 X374 @ 119.96/23.68 X376 ) @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 X374 @ 119.96/23.68 X378 ) @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 X376 @ 119.96/23.68 X378 ) ) ) ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X380:$i, 119.96/23.68 X382:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X382 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X380 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X384:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X384 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X380 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X386:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X386 @ 119.96/23.68 X380 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X386 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X380 @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 X382 @ 119.96/23.68 X384 ) ) ) => 119.96/23.68 ( 119.96/23.68 ~( 119.96/23.68 in @ 119.96/23.68 X386 @ 119.96/23.68 X382 ) ) ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X388:$i, 119.96/23.68 X390:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X390 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X388 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X392:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X392 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X388 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X394:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X394 @ 119.96/23.68 X388 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X394 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X388 @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 X390 @ 119.96/23.68 X392 ) ) ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X394 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X388 @ 119.96/23.68 X390 ) ) ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X396:$i, 119.96/23.68 X398:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X398 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X396 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X400:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X400 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X396 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X402:$o, 119.96/23.68 X404:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X404 @ 119.96/23.68 X396 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X404 @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 X398 @ 119.96/23.68 X400 ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X404 @ 119.96/23.68 X398 ) => 119.96/23.68 ( 119.96/23.68 X402 ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X404 @ 119.96/23.68 X400 ) => 119.96/23.68 ( 119.96/23.68 X402 ) ) => 119.96/23.68 ( 119.96/23.68 X402 ) ) ) ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X406:$i, 119.96/23.68 X408:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X408 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X406 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X410:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X410 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X406 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X412:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X412 @ 119.96/23.68 X406 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ~( 119.96/23.68 in @ 119.96/23.68 X412 @ 119.96/23.68 X408 ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ~( 119.96/23.68 in @ 119.96/23.68 X412 @ 119.96/23.68 X410 ) ) => 119.96/23.68 ( 119.96/23.68 ~( 119.96/23.68 in @ 119.96/23.68 X412 @ 119.96/23.68 ( 119.96/23.68 binunion 119.96/23.68 @ 119.96/23.68 X408 @ 119.96/23.68 X410 ) ) ) ) ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X414:$i, 119.96/23.68 X416:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X416 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X414 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X418:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X418 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X414 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X420:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X420 @ 119.96/23.68 X414 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X420 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X414 @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 X416 @ 119.96/23.68 X418 ) ) ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X420 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X414 @ 119.96/23.68 X416 ) ) ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X422:$i, 119.96/23.68 X424:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X424 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X422 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X426:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X426 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X422 ) ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X422 @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 X424 @ 119.96/23.68 X426 ) ) @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X422 @ 119.96/23.68 X424 ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X428:$i, 119.96/23.68 X430:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X430 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X428 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X432:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X432 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X428 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X434:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X434 @ 119.96/23.68 X428 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X434 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X428 @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 X430 @ 119.96/23.68 X432 ) ) ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X434 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X428 @ 119.96/23.68 X432 ) ) ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X436:$i, 119.96/23.68 X438:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X438 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X436 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X440:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X440 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X436 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X442:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X442 @ 119.96/23.68 X436 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X442 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X436 @ 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 X438 @ 119.96/23.68 X440 ) ) ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X442 @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X436 @ 119.96/23.68 X438 ) @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X436 @ 119.96/23.68 X440 ) ) ) ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X444:$i, 119.96/23.68 X446:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X446 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X444 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X448:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X448 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X444 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X450:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X450 @ 119.96/23.68 X444 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X450 @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X444 @ 119.96/23.68 X446 ) @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X444 @ 119.96/23.68 X448 ) ) ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X450 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X444 @ 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 X446 @ 119.96/23.68 X448 ) ) ) ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X452:$i, 119.96/23.68 X454:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X454 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X452 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X456:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X456 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X452 ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X452 @ 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 X454 @ 119.96/23.68 X456 ) ) = 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X452 @ 119.96/23.68 X454 ) @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X452 @ 119.96/23.68 X456 ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X458:$i, 119.96/23.68 X460:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X460 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X458 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X462:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X462 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X458 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X464:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X464 @ 119.96/23.68 X458 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X464 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X458 @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 X460 @ 119.96/23.68 X462 ) ) ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X464 @ 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X458 @ 119.96/23.68 X460 ) @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X458 @ 119.96/23.68 X462 ) ) ) ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X466:$i, 119.96/23.68 X468:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X468 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X466 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X470:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X470 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X466 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X472:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X472 @ 119.96/23.68 X466 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X472 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X466 @ 119.96/23.68 X468 ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X472 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X466 @ 119.96/23.68 X470 ) ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X472 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X466 @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 X468 @ 119.96/23.68 X470 ) ) ) ) ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X474:$i, 119.96/23.68 X476:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X476 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X474 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X478:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X478 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X474 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X480:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X480 @ 119.96/23.68 X474 ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X480 @ 119.96/23.68 ( 119.96/23.68 binintersect 119.96/23.68 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X474 @ 119.96/23.68 X476 ) @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X474 @ 119.96/23.68 X478 ) ) ) => 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X480 @ 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X474 @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 X476 @ 119.96/23.68 X478 ) ) ) ) ) ) ) ) ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X482:$i, 119.96/23.68 X484:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X484 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X482 ) ) => 119.96/23.68 ( 119.96/23.68 ![ 119.96/23.68 X486:$i]: 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 in @ 119.96/23.68 X486 @ 119.96/23.68 ( 119.96/23.68 powerset @ 119.96/23.68 X482 ) ) => 119.96/23.68 ( 119.96/23.68 ( 119.96/23.68 setminus @ 119.96/23.68 X482 @ 119.96/23.68 ( 119.96/23.68 binunion @ 119.96/23.68 X484 @ 119.96/23.68 X486 ) ) = 120.16/23.68 ( 120.16/23.68 binintersect 120.16/23.68 @ 120.16/23.68 ( 120.16/23.68 setminus @ 120.16/23.68 X482 @ 120.16/23.68 X484 ) @ 120.16/23.68 ( 120.16/23.68 setminus @ 120.16/23.68 X482 @ 120.16/23.68 X486 ) ) ) ) ) ) ) => 120.16/23.68 ( 120.16/23.68 ( 120.16/23.68 ![ 120.16/23.68 X488:$i, 120.16/23.68 X490:$i]: 120.16/23.68 ( 120.16/23.68 ( 120.16/23.68 in @ 120.16/23.68 X490 @ 120.16/23.68 ( 120.16/23.68 powerset @ 120.16/23.68 X488 ) ) => 120.16/23.68 ( 120.16/23.68 ![ 120.16/23.68 X492:$i]: 120.16/23.68 ( 120.16/23.68 ( 120.16/23.68 in @ 120.16/23.68 X492 @ 120.16/23.68 ( 120.16/23.68 powerset @ 120.16/23.68 X488 ) ) => 120.16/23.68 ( 120.16/23.68 ![ 120.16/23.68 X494:$i]: 120.16/23.68 ( 120.16/23.68 ( 120.16/23.68 in @ 120.16/23.68 X494 @ 120.16/23.68 ( 120.16/23.68 binintersect 120.16/23.68 @ 120.16/23.68 X490 @ 120.16/23.68 X492 ) ) => 120.16/23.68 ( 120.16/23.68 in @ 120.16/23.68 X494 @ 120.16/23.68 X488 ) ) ) ) ) ) ) => 120.16/23.68 ( 120.16/23.68 ( 120.16/23.68 ![ 120.16/23.68 X496:$i, 120.16/23.68 X498:$i]: 120.16/23.68 ( 120.16/23.68 ( 120.16/23.68 in @ 120.16/23.68 X498 @ 120.16/23.68 ( 120.16/23.68 powerset @ 120.16/23.68 X496 ) ) => 120.16/23.68 ( 120.16/23.68 ![ 120.16/23.68 X500:$i]: 120.16/23.68 ( 120.16/23.68 ( 120.16/23.68 in @ 120.16/23.68 X500 @ 120.16/23.68 ( 120.16/23.68 powerset @ 120.16/23.68 X496 ) ) => 120.16/23.68 ( 120.16/23.68 ![ 120.16/23.68 X502:$i]: 120.16/23.68 ( 120.16/23.68 ( 120.16/23.68 in @ 120.16/23.68 X502 @ 120.16/23.68 ( 120.16/23.68 powerset @ 120.16/23.68 X496 ) ) => 120.16/23.68 ( 120.16/23.68 ( 120.16/23.68 subset @ 120.16/23.68 X498 @ 120.16/23.68 X502 ) => 120.16/23.68 ( 120.16/23.68 subset @ 120.16/23.68 ( 120.16/23.68 binintersect 120.16/23.68 @ 120.16/23.68 X498 @ 120.16/23.68 X500 ) @ 120.16/23.68 X502 ) ) ) ) ) ) ) ) => 120.16/23.68 ( 120.16/23.68 ( 120.16/23.68 ![ 120.16/23.68 X504:$i, 120.16/23.68 X506:$i]: 120.16/23.68 ( 120.16/23.68 ( 120.16/23.68 in @ 120.16/23.68 X506 @ 120.16/23.68 ( 120.16/23.68 powerset @ 120.16/23.68 X504 ) ) => 120.16/23.68 ( 120.16/23.68 ![ 120.16/23.68 X508:$i]: 120.16/23.68 ( 120.16/23.68 ( 120.16/23.68 in @ 120.16/23.68 X508 @ 120.16/23.68 ( 120.16/23.68 powerset @ 120.16/23.68 X504 ) ) => 120.16/23.68 ( 120.16/23.68 ![ 120.16/23.68 X510:$i]: 120.16/23.68 ( 120.16/23.68 ( 120.16/23.68 in @ 120.16/23.68 X510 @ 120.16/23.68 ( 120.16/23.68 powerset @ 120.16/23.68 X504 ) ) => 120.16/23.68 ( 120.16/23.68 ( 120.16/23.68 subset @ 120.16/23.68 X508 @ 120.16/23.68 X510 ) => 120.16/23.68 ( 120.16/23.68 subset @ 120.16/23.68 ( 120.16/23.68 binintersect 120.16/23.68 @ 120.16/23.68 X506 @ 120.16/23.68 X508 ) @ 120.16/23.68 X510 ) ) ) ) ) ) ) ) => 120.16/23.68 ( 120.16/23.68 ( 120.16/23.68 ![ 120.16/23.68 X512:$i, 120.16/23.68 X514:$i]: 120.16/23.68 ( 120.16/23.68 ( 120.16/23.68 in @ 120.16/23.68 X514 @ 120.16/23.68 ( 120.16/23.68 powerset @ 120.16/23.68 X512 ) ) => 120.16/23.68 ( 120.16/23.68 ![ 120.16/23.68 X516:$i]: 120.16/23.68 ( 120.16/23.68 ( 120.16/23.68 in @ 120.16/23.68 X516 @ 120.16/23.68 ( 120.16/23.68 powerset @ 120.16/23.68 X512 ) ) => 120.16/23.68 ( 120.16/23.68 ![ 120.16/23.68 X518:$i]: 120.16/23.68 ( 120.16/23.68 ( 120.16/23.68 in @ 120.16/23.68 X518 @ 120.16/23.68 ( 120.16/23.68 powerset @ 120.16/23.68 X512 ) ) => 120.16/23.68 ( 120.16/23.68 ( 120.16/23.68 subset @ 120.16/23.68 X514 @ 120.16/23.68 X516 ) => 120.16/23.68 ( 120.16/23.68 ( 120.16/23.68 subset @ 120.16/23.68 X514 @ 120.16/23.68 X518 ) => 120.16/23.68 ( 120.16/23.68 subset @ 120.16/23.68 X514 @ 120.16/23.68 ( 120.16/23.68 binintersect 120.16/23.68 @ 120.16/23.68 X516 @ 120.16/23.68 X518 ) ) ) ) ) ) ) ) ) ) => 120.16/23.68 ( 120.16/23.68 ( 120.16/23.68 ![ 120.16/23.68 X520:$i, 120.16/23.68 X522:$i]: 120.16/23.68 ( 120.16/23.68 ( 120.16/23.68 in @ 120.16/23.68 X522 @ 120.16/23.68 ( 120.16/23.68 powerset @ 120.16/23.68 X520 ) ) => 120.16/23.68 ( 120.16/23.68 ![ 120.16/23.68 X524:$i]: 120.16/23.68 ( 120.16/23.68 ( 120.16/23.68 in @ 120.16/23.68 X524 @ 120.16/23.68 ( 120.16/23.68 powerset @ 120.16/23.68 X520 ) ) => 120.16/23.68 ( 120.16/23.68 ![ 120.16/23.68 X526:$i]: 120.16/23.68 ( 120.16/23.68 ( 120.16/23.68 in @ 120.16/23.68 X526 @ 120.16/23.68 ( 120.16/23.68 powerset @ 120.16/23.68 X520 ) ) => 120.16/23.68 ( 120.16/23.68 ![ 120.16/23.68 X528:$i]: 120.16/23.68 ( 120.16/23.68 ( 120.16/23.68 in @ 120.16/23.68 X528 @ 120.16/23.68 ( 120.16/23.68 powerset @ 120.16/23.68 X520 ) ) => 120.16/23.68 ( 120.16/23.68 ( 120.16/23.68 subset @ 120.16/23.68 X522 @ 120.16/23.68 X526 ) => 120.16/23.68 ( 120.16/23.68 ( 120.16/23.68 subset @ 120.16/23.68 X524 @ 120.16/23.68 X528 ) => 120.16/23.68 ( 120.16/23.68 subset @ 120.16/23.68 ( 120.16/23.68 binintersect 120.16/23.68 @ 120.16/23.68 X522 @ 120.16/23.68 X524 ) @ 120.16/23.68 ( 120.16/23.68 binintersect 120.16/23.68 @ 120.16/23.68 X526 @ 120.16/23.68 X528 ) ) ) ) ) ) ) ) ) ) ) ) => 120.16/23.68 ( 120.16/23.68 ( 120.16/23.68 ![ 120.16/23.68 X530:$i, 120.16/23.68 X532:$i]: 120.16/23.68 ( 120.16/23.68 ( 120.16/23.68 in @ 120.16/23.68 X532 @ 120.16/23.68 ( 120.16/23.68 powerset @ 120.16/23.68 X530 ) ) => 120.16/23.68 ( 120.16/23.68 ![ 120.16/23.68 X534:$i]: 120.16/23.68 ( 120.16/23.68 ( 120.16/23.68 in @ 120.16/23.68 X534 @ 120.16/23.68 ( 120.16/23.68 powerset @ 120.16/23.68 X530 ) ) => 120.16/23.68 ( 120.16/23.68 in @ 120.16/23.68 ( 120.16/23.69 setminus @ 120.16/23.69 X530 @ 120.16/23.69 X532 ) @ 120.16/23.69 ( 120.16/23.69 powerset @ 120.16/23.69 ( 120.16/23.69 setminus @ 120.16/23.69 X530 @ 120.16/23.69 ( 120.16/23.69 binintersect 120.16/23.69 @ 120.16/23.69 X532 @ 120.16/23.69 X534 ) ) ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X536:$i, 120.16/23.69 X538:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X538 @ 120.16/23.69 ( 120.16/23.69 powerset @ 120.16/23.69 X536 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X540:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X540 @ 120.16/23.69 ( 120.16/23.69 powerset @ 120.16/23.69 X536 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X542:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X542 @ 120.16/23.69 ( 120.16/23.69 powerset @ 120.16/23.69 X536 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X544:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X544 @ 120.16/23.69 ( 120.16/23.69 powerset @ 120.16/23.69 X536 ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 setminus @ 120.16/23.69 X536 @ 120.16/23.69 ( 120.16/23.69 binintersect 120.16/23.69 @ 120.16/23.69 ( 120.16/23.69 binunion @ 120.16/23.69 X538 @ 120.16/23.69 X540 ) @ 120.16/23.69 ( 120.16/23.69 binunion @ 120.16/23.69 X542 @ 120.16/23.69 X544 ) ) ) = 120.16/23.69 ( 120.16/23.69 binunion @ 120.16/23.69 ( 120.16/23.69 binintersect 120.16/23.69 @ 120.16/23.69 ( 120.16/23.69 setminus @ 120.16/23.69 X536 @ 120.16/23.69 X538 ) @ 120.16/23.69 ( 120.16/23.69 setminus @ 120.16/23.69 X536 @ 120.16/23.69 X540 ) ) @ 120.16/23.69 ( 120.16/23.69 binintersect 120.16/23.69 @ 120.16/23.69 ( 120.16/23.69 setminus @ 120.16/23.69 X536 @ 120.16/23.69 X542 ) @ 120.16/23.69 ( 120.16/23.69 setminus @ 120.16/23.69 X536 @ 120.16/23.69 X544 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 120.16/23.69 thf(zf_stmt_1, negated_conjecture, 120.16/23.69 (~( ( setextAx ) => 120.16/23.69 ( ( emptysetAx ) => 120.16/23.69 ( ( setadjoinAx ) => 120.16/23.69 ( ( powersetAx ) => 120.16/23.69 ( ( setunionAx ) => 120.16/23.69 ( ( omega0Ax ) => 120.16/23.69 ( ( omegaSAx ) => 120.16/23.69 ( ( omegaIndAx ) => 120.16/23.69 ( ( replAx ) => 120.16/23.69 ( ( foundationAx ) => 120.16/23.69 ( ( wellorderingAx ) => 120.16/23.69 ( ( descrp ) => 120.16/23.69 ( ( dsetconstrI ) => 120.16/23.69 ( ( dsetconstrEL ) => 120.16/23.69 ( ( dsetconstrER ) => 120.16/23.69 ( ( exuE1 ) => 120.16/23.69 ( ( prop2setE ) => 120.16/23.69 ( ( emptysetE ) => 120.16/23.69 ( ( emptysetimpfalse ) => 120.16/23.69 ( ( notinemptyset ) => 120.16/23.69 ( ( exuE3e ) => 120.16/23.69 ( ( setext ) => 120.16/23.69 ( ( emptyI ) => 120.16/23.69 ( ( noeltsimpempty ) => 120.16/23.69 ( ( setbeta ) => 120.16/23.69 ( ( nonemptyE1 ) => 120.16/23.69 ( ( nonemptyI ) => 120.16/23.69 ( ( nonemptyI1 ) => 120.16/23.69 ( ( setadjoinIL ) => 120.16/23.69 ( ( emptyinunitempty ) => 120.16/23.69 ( ( setadjoinIR ) => 120.16/23.69 ( ( 120.16/23.69 setadjoinE ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 setadjoinOr ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 setoftrueEq ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 powersetI ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 emptyinPowerset ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 emptyInPowerset ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 powersetE ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 setunionI ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 setunionE ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 subPowSU ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 exuE2 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 nonemptyImpWitness ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 uniqinunit ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 notinsingleton ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 eqinunit ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 singletonsswitch ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 upairsetE ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 upairsetIL ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 upairsetIR ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 emptyE1 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 vacuousDall ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 quantDeMorgan1 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 quantDeMorgan2 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 quantDeMorgan3 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 quantDeMorgan4 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 prop2setI ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 prop2set2propI ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 notdexE ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 notdallE ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 exuI1 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 exuI3 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 exuI2 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 inCongP ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in__Cong ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 exuE3u ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 exu__Cong ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 emptyset__Cong ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 setadjoin__Cong ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 powerset__Cong ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 setunion__Cong ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 omega__Cong ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 exuEu ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 descr__Cong ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 dsetconstr__Cong ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 subsetI1 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 eqimpsubset2 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 eqimpsubset1 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 subsetI2 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 emptysetsubset ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 subsetE ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 subsetE2 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 notsubsetI ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 notequalI1 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 notequalI2 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 subsetRefl ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 subsetTrans ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 setadjoinSub ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 setadjoinSub2 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 subset2powerset ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 setextsub ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 subsetemptysetimpeq ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 powersetI1 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 powersetE1 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 inPowerset ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 powersetsubset ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 sepInPowerset ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 sepSubset ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X4:$i, 120.16/23.69 X6:$i, 120.16/23.69 X8:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X8 @ X4 ) => 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X8 @ 120.16/23.69 ( 120.16/23.69 binunion 120.16/23.69 @ 120.16/23.69 X4 @ X6 ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 upairset2IR ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X10:$i, 120.16/23.69 X12:$i, 120.16/23.69 X14:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X14 @ X12 ) => 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X14 @ 120.16/23.69 ( 120.16/23.69 binunion 120.16/23.69 @ 120.16/23.69 X10 @ X12 ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X16:$i, 120.16/23.69 X18:$i, 120.16/23.69 X20:$i, 120.16/23.69 X22:$o]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X20 @ 120.16/23.69 ( 120.16/23.69 binunion 120.16/23.69 @ 120.16/23.69 X16 @ X18 ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X20 @ X16 ) => 120.16/23.69 ( 120.16/23.69 X22 ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X20 @ X18 ) => 120.16/23.69 ( 120.16/23.69 X22 ) ) => 120.16/23.69 ( 120.16/23.69 X22 ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X24:$i, 120.16/23.69 X26:$i, 120.16/23.69 X28:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X28 @ 120.16/23.69 ( 120.16/23.69 binunion 120.16/23.69 @ 120.16/23.69 X24 @ X26 ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X28 @ X24 ) | 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X28 @ X26 ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X30:$i, 120.16/23.69 X32:$i]: 120.16/23.69 ( 120.16/23.69 subset @ 120.16/23.69 X30 @ 120.16/23.69 ( 120.16/23.69 binunion 120.16/23.69 @ 120.16/23.69 X30 @ X32 ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X34:$i, 120.16/23.69 X36:$i]: 120.16/23.69 ( 120.16/23.69 subset @ 120.16/23.69 X36 @ 120.16/23.69 ( 120.16/23.69 binunion 120.16/23.69 @ 120.16/23.69 X34 @ X36 ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X38:$i, 120.16/23.69 X40:$i, 120.16/23.69 X42:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X42 @ X38 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X42 @ X40 ) => 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X42 @ 120.16/23.69 ( 120.16/23.69 binintersect 120.16/23.69 @ 120.16/23.69 X38 @ X40 ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X44:$i, 120.16/23.69 X46:$i, 120.16/23.69 X48:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 subset @ 120.16/23.69 X48 @ X44 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 subset @ 120.16/23.69 X48 @ X46 ) => 120.16/23.69 ( 120.16/23.69 subset @ 120.16/23.69 X48 @ 120.16/23.69 ( 120.16/23.69 binintersect 120.16/23.69 @ 120.16/23.69 X44 @ X46 ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X50:$i, 120.16/23.69 X52:$i, 120.16/23.69 X54:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X54 @ 120.16/23.69 ( 120.16/23.69 binintersect 120.16/23.69 @ 120.16/23.69 X50 @ X52 ) ) => 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X54 @ X50 ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X56:$i, 120.16/23.69 X58:$i]: 120.16/23.69 ( 120.16/23.69 subset @ 120.16/23.69 ( 120.16/23.69 binintersect 120.16/23.69 @ 120.16/23.69 X56 @ X58 ) @ 120.16/23.69 X56 ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X60:$i, 120.16/23.69 X62:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 subset @ 120.16/23.69 X60 @ X62 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 binintersect 120.16/23.69 @ 120.16/23.69 X60 @ X62 ) = 120.16/23.69 ( 120.16/23.69 X60 ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X64:$i, 120.16/23.69 X66:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 binintersect 120.16/23.69 @ 120.16/23.69 X64 @ X66 ) = 120.16/23.69 ( 120.16/23.69 X66 ) ) => 120.16/23.69 ( 120.16/23.69 subset @ 120.16/23.69 X66 @ X64 ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X68:$i, 120.16/23.69 X70:$i, 120.16/23.69 X72:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X72 @ 120.16/23.69 ( 120.16/23.69 binintersect 120.16/23.69 @ 120.16/23.69 X68 @ X70 ) ) => 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X72 @ X70 ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X74:$i, 120.16/23.69 X76:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ~ 120.16/23.69 ( 120.16/23.69 ?[ 120.16/23.69 X78:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X78 @ X76 ) & 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X78 @ X74 ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 binintersect 120.16/23.69 @ 120.16/23.69 X74 @ X76 ) = 120.16/23.69 ( 120.16/23.69 emptyset ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X80:$i, 120.16/23.69 X82:$i]: 120.16/23.69 ( 120.16/23.69 subset @ 120.16/23.69 ( 120.16/23.69 binintersect 120.16/23.69 @ 120.16/23.69 X80 @ X82 ) @ 120.16/23.69 X82 ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X84:$i, 120.16/23.69 X86:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 subset @ 120.16/23.69 X86 @ X84 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 binintersect 120.16/23.69 @ 120.16/23.69 X84 @ X86 ) = 120.16/23.69 ( 120.16/23.69 X86 ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X88:$i, 120.16/23.69 X90:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 binintersect 120.16/23.69 @ 120.16/23.69 X88 @ X90 ) = 120.16/23.69 ( 120.16/23.69 X88 ) ) => 120.16/23.69 ( 120.16/23.69 subset @ 120.16/23.69 X88 @ X90 ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X92:$i, 120.16/23.69 X94:$i, 120.16/23.69 X96:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 binintersect 120.16/23.69 @ 120.16/23.69 X92 @ 120.16/23.69 ( 120.16/23.69 binunion 120.16/23.69 @ 120.16/23.69 X94 @ X96 ) ) = 120.16/23.69 ( 120.16/23.69 binunion 120.16/23.69 @ 120.16/23.69 ( 120.16/23.69 binintersect 120.16/23.69 @ 120.16/23.69 X92 @ X94 ) @ 120.16/23.69 ( 120.16/23.69 binintersect 120.16/23.69 @ 120.16/23.69 X92 @ X96 ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X98:$i, 120.16/23.69 X100:$i, 120.16/23.69 X102:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X102 @ 120.16/23.69 X98 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ~ 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X102 @ 120.16/23.69 X100 ) ) => 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X102 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X98 @ 120.16/23.69 X100 ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X104:$i, 120.16/23.69 X106:$i, 120.16/23.69 X108:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X108 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X104 @ 120.16/23.69 X106 ) ) => 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X108 @ 120.16/23.69 X104 ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X110:$i, 120.16/23.69 X112:$i, 120.16/23.69 X114:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X114 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X110 @ 120.16/23.69 X112 ) ) => 120.16/23.69 ( 120.16/23.69 ~ 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X114 @ 120.16/23.69 X112 ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X116:$i, 120.16/23.69 X118:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 subset @ 120.16/23.69 X116 @ 120.16/23.69 X118 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X116 @ 120.16/23.69 X118 ) = 120.16/23.69 ( 120.16/23.69 emptyset ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X120:$i, 120.16/23.69 X122:$i, 120.16/23.69 X124:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ~ 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X124 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X120 @ 120.16/23.69 X122 ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X124 @ 120.16/23.69 X120 ) => 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X124 @ 120.16/23.69 X122 ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X126:$i, 120.16/23.69 X128:$i, 120.16/23.69 X130:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ~ 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X130 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X126 @ 120.16/23.69 X128 ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ~ 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X130 @ 120.16/23.69 X128 ) ) => 120.16/23.69 ( 120.16/23.69 ~ 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X130 @ 120.16/23.69 X126 ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X132:$i, 120.16/23.69 X134:$i, 120.16/23.69 X136:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ~ 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X136 @ 120.16/23.69 X132 ) ) => 120.16/23.69 ( 120.16/23.69 ~ 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X136 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X132 @ 120.16/23.69 X134 ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X138:$i, 120.16/23.69 X140:$i, 120.16/23.69 X142:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X142 @ 120.16/23.69 X140 ) => 120.16/23.69 ( 120.16/23.69 ~ 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X142 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X138 @ 120.16/23.69 X140 ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X144:$i, 120.16/23.69 X146:$i]: 120.16/23.69 ( 120.16/23.69 subset @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X144 @ 120.16/23.69 X146 ) @ 120.16/23.69 X144 ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X148:$i, 120.16/23.69 X150:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X148 @ 120.16/23.69 X150 ) = 120.16/23.69 ( 120.16/23.69 emptyset ) ) => 120.16/23.69 ( 120.16/23.69 subset @ 120.16/23.69 X148 @ 120.16/23.69 X150 ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 symdiffE ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 symdiffI1 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 symdiffI2 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 symdiffIneg1 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 symdiffIneg2 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 secondinupair ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 setukpairIL ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 setukpairIR ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 kpairiskpair ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 kpairp ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 singletonsubset ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 singletoninpowerset ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X152:$i, 120.16/23.69 X154:$i, 120.16/23.69 X156:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X156 @ 120.16/23.69 X152 ) => 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 ( 120.16/23.69 setadjoin 120.16/23.69 @ 120.16/23.69 X156 @ 120.16/23.69 emptyset ) @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 ( 120.16/23.69 binunion 120.16/23.69 @ 120.16/23.69 X152 @ 120.16/23.69 X154 ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 upairset2E ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X158:$i, 120.16/23.69 X160:$i, 120.16/23.69 X162:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X162 @ 120.16/23.69 X158 ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X164:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X164 @ 120.16/23.69 X160 ) => 120.16/23.69 ( 120.16/23.69 subset @ 120.16/23.69 ( 120.16/23.69 setadjoin 120.16/23.69 @ 120.16/23.69 X162 @ 120.16/23.69 ( 120.16/23.69 setadjoin 120.16/23.69 @ 120.16/23.69 X164 @ 120.16/23.69 emptyset ) ) @ 120.16/23.69 ( 120.16/23.69 binunion 120.16/23.69 @ 120.16/23.69 X158 @ 120.16/23.69 X160 ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X166:$i, 120.16/23.69 X168:$i, 120.16/23.69 X170:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X170 @ 120.16/23.69 X166 ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X172:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X172 @ 120.16/23.69 X168 ) => 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 ( 120.16/23.69 setadjoin 120.16/23.69 @ 120.16/23.69 X170 @ 120.16/23.69 ( 120.16/23.69 setadjoin 120.16/23.69 @ 120.16/23.69 X172 @ 120.16/23.69 emptyset ) ) @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 ( 120.16/23.69 binunion 120.16/23.69 @ 120.16/23.69 X166 @ 120.16/23.69 X168 ) ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X174:$i, 120.16/23.69 X176:$i, 120.16/23.69 X178:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X178 @ 120.16/23.69 X174 ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X180:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X180 @ 120.16/23.69 X176 ) => 120.16/23.69 ( 120.16/23.69 subset @ 120.16/23.69 ( 120.16/23.69 setadjoin 120.16/23.69 @ 120.16/23.69 ( 120.16/23.69 setadjoin 120.16/23.69 @ 120.16/23.69 X178 @ 120.16/23.69 emptyset ) @ 120.16/23.69 ( 120.16/23.69 setadjoin 120.16/23.69 @ 120.16/23.69 ( 120.16/23.69 setadjoin 120.16/23.69 @ 120.16/23.69 X178 @ 120.16/23.69 ( 120.16/23.69 setadjoin 120.16/23.69 @ 120.16/23.69 X180 @ 120.16/23.69 emptyset ) ) @ 120.16/23.69 emptyset ) ) @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 ( 120.16/23.69 binunion 120.16/23.69 @ 120.16/23.69 X174 @ 120.16/23.69 X176 ) ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X182:$i, 120.16/23.69 X184:$i, 120.16/23.69 X186:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X186 @ 120.16/23.69 X182 ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X188:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X188 @ 120.16/23.69 X184 ) => 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 ( 120.16/23.69 setadjoin 120.16/23.69 @ 120.16/23.69 ( 120.16/23.69 setadjoin 120.16/23.69 @ 120.16/23.69 X186 @ 120.16/23.69 emptyset ) @ 120.16/23.69 ( 120.16/23.69 setadjoin 120.16/23.69 @ 120.16/23.69 ( 120.16/23.69 setadjoin 120.16/23.69 @ 120.16/23.69 X186 @ 120.16/23.69 ( 120.16/23.69 setadjoin 120.16/23.69 @ 120.16/23.69 X188 @ 120.16/23.69 emptyset ) ) @ 120.16/23.69 emptyset ) ) @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 ( 120.16/23.69 binunion 120.16/23.69 @ 120.16/23.69 X182 @ 120.16/23.69 X184 ) ) ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ubforcartprodlem3 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 cartprodpairin ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 cartprodmempair1 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 cartprodmempair ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 setunionE2 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 setunionsingleton1 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 setunionsingleton2 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 setunionsingleton ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 singletonprop ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ex1E1 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ex1I ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ex1I2 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 singletonsuniq ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 setukpairinjL1 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 kfstsingleton ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 theprop ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 kfstpairEq ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 cartprodfstin ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 setukpairinjL2 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 setukpairinjL ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 setukpairinjR11 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 setukpairinjR12 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 setukpairinjR1 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 upairequniteq ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 setukpairinjR2 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 setukpairinjR ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ksndsingleton ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ksndpairEq ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 kpairsurjEq ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 cartprodsndin ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 cartprodpairmemEL ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 cartprodpairmemER ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 cartprodmempaircEq ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 cartprodfstpairEq ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 cartprodsndpairEq ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 cartprodpairsurjEq ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 dpsetconstrI ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 dpsetconstrSub ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 setOfPairsIsBReln ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 dpsetconstrERa ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 dpsetconstrEL1 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 dpsetconstrEL2 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 dpsetconstrER ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 funcImageSingleton ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 apProp ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 app ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 infuncsetfunc ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ap2p ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 funcinfuncset ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 lamProp ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 lamp ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 lam2p ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 brelnall1 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 brelnall2 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ex1E2 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 funcGraphProp1 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 funcGraphProp3 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 funcGraphProp2 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 funcextLem ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 funcGraphProp4 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 subbreln ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 eqbreln ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 funcext ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 funcext2 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ap2apEq1 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ap2apEq2 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 beta1 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 eta1 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 lam2lamEq ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 beta2 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 eta2 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 iffalseProp1 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 iffalseProp2 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 iftrueProp1 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 iftrueProp2 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ifSingleton ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ifp ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 theeq ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 iftrue ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 iffalse ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 iftrueorfalse ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X190:$i, 120.16/23.69 X192:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X192 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X190 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X194:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X194 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X190 ) ) => 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 ( 120.16/23.69 binintersect 120.16/23.69 @ 120.16/23.69 X192 @ 120.16/23.69 X194 ) @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X190 ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X196:$i, 120.16/23.69 X198:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X198 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X196 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X200:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X200 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X196 ) ) => 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 ( 120.16/23.69 binunion 120.16/23.69 @ 120.16/23.69 X198 @ 120.16/23.69 X200 ) @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X196 ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 powersetT_lem ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X202:$i, 120.16/23.69 X204:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X204 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X202 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X206:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X206 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X202 ) ) => 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X204 @ 120.16/23.69 X206 ) @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X202 ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X208:$i, 120.16/23.69 X210:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X210 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X208 ) ) => 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X208 @ 120.16/23.69 X210 ) @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X208 ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 setextT ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 subsetTI ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 powersetTI1 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 powersetTE1 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X212:$i, 120.16/23.69 X214:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X214 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X212 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X216:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X216 @ 120.16/23.69 X212 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X216 @ 120.16/23.69 X214 ) => 120.16/23.69 ( 120.16/23.69 ~ 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X216 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X212 @ 120.16/23.69 X214 ) ) ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X218:$i, 120.16/23.69 X220:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X220 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X218 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X222:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X222 @ 120.16/23.69 X218 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ~ 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X222 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X218 @ 120.16/23.69 X220 ) ) ) => 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X222 @ 120.16/23.69 X220 ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X224:$i, 120.16/23.69 X226:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X226 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X224 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X228:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X228 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X224 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X230:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X230 @ 120.16/23.69 X224 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ~ 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X230 @ 120.16/23.69 X226 ) ) => 120.16/23.69 ( 120.16/23.69 ~ 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X230 @ 120.16/23.69 ( 120.16/23.69 binintersect 120.16/23.69 @ 120.16/23.69 X226 @ 120.16/23.69 X228 ) ) ) ) ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X232:$i, 120.16/23.69 X234:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X234 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X232 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X236:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X236 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X232 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X238:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X238 @ 120.16/23.69 X232 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ~ 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X238 @ 120.16/23.69 X236 ) ) => 120.16/23.69 ( 120.16/23.69 ~ 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X238 @ 120.16/23.69 ( 120.16/23.69 binintersect 120.16/23.69 @ 120.16/23.69 X234 @ 120.16/23.69 X236 ) ) ) ) ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X240:$i, 120.16/23.69 X242:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X242 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X240 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X244:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X244 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X240 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X246:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X246 @ 120.16/23.69 X240 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 subset @ 120.16/23.69 X242 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X240 @ 120.16/23.69 X244 ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X246 @ 120.16/23.69 X244 ) => 120.16/23.69 ( 120.16/23.69 ~ 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X246 @ 120.16/23.69 X242 ) ) ) ) ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 contrasubsetT1 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X248:$i, 120.16/23.69 X250:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X250 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X248 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X252:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X252 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X248 ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 subset @ 120.16/23.69 X250 @ 120.16/23.69 X252 ) => 120.16/23.69 ( 120.16/23.69 subset @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X248 @ 120.16/23.69 X252 ) @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X248 @ 120.16/23.69 X250 ) ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X254:$i, 120.16/23.69 X256:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X256 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X254 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X258:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X258 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X254 ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 subset @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X254 @ 120.16/23.69 X258 ) @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X254 @ 120.16/23.69 X256 ) ) => 120.16/23.69 ( 120.16/23.69 subset @ 120.16/23.69 X256 @ 120.16/23.69 X258 ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X260:$i, 120.16/23.69 X262:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X262 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X260 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X264:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X264 @ 120.16/23.69 X260 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X264 @ 120.16/23.69 X262 ) => 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X264 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X260 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X260 @ 120.16/23.69 X262 ) ) ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X266:$i, 120.16/23.69 X268:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X268 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X266 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X270:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X270 @ 120.16/23.69 X266 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X270 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X266 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X266 @ 120.16/23.69 X268 ) ) ) => 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X270 @ 120.16/23.69 X268 ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X272:$i, 120.16/23.69 X274:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X274 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X272 ) ) => 120.16/23.69 ( 120.16/23.69 subset @ 120.16/23.69 X274 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X272 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X272 @ 120.16/23.69 X274 ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X276:$i, 120.16/23.69 X278:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X278 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X276 ) ) => 120.16/23.69 ( 120.16/23.69 subset @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X276 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X276 @ 120.16/23.69 X278 ) ) @ 120.16/23.69 X278 ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X280:$i, 120.16/23.69 X282:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X282 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X280 ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 X282 ) = 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X280 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X280 @ 120.16/23.69 X282 ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X284:$i, 120.16/23.69 X286:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X286 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X284 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X288:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X288 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X284 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X290:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X290 @ 120.16/23.69 X284 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X290 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X284 @ 120.16/23.69 X286 ) ) => 120.16/23.69 ( 120.16/23.69 ~ 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X290 @ 120.16/23.69 ( 120.16/23.69 binintersect 120.16/23.69 @ 120.16/23.69 X286 @ 120.16/23.69 X288 ) ) ) ) ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X292:$i, 120.16/23.69 X294:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X294 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X292 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X296:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X296 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X292 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X298:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X298 @ 120.16/23.69 X292 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X298 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X292 @ 120.16/23.69 X294 ) ) => 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X298 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X292 @ 120.16/23.69 ( 120.16/23.69 binintersect 120.16/23.69 @ 120.16/23.69 X294 @ 120.16/23.69 X296 ) ) ) ) ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X300:$i, 120.16/23.69 X302:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X302 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X300 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X304:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X304 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X300 ) ) => 120.16/23.69 ( 120.16/23.69 subset @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X300 @ 120.16/23.69 X302 ) @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X300 @ 120.16/23.69 ( 120.16/23.69 binintersect 120.16/23.69 @ 120.16/23.69 X302 @ 120.16/23.69 X304 ) ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X306:$i, 120.16/23.69 X308:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X308 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X306 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X310:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X310 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X306 ) ) => 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X306 @ 120.16/23.69 X308 ) @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X306 @ 120.16/23.69 ( 120.16/23.69 binintersect 120.16/23.69 @ 120.16/23.69 X308 @ 120.16/23.69 X310 ) ) ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X312:$i, 120.16/23.69 X314:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X314 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X312 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X316:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X316 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X312 ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 subset @ 120.16/23.69 X314 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X312 @ 120.16/23.69 X316 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X318:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X318 @ 120.16/23.69 X312 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X318 @ 120.16/23.69 X316 ) => 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X318 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X312 @ 120.16/23.69 X314 ) ) ) ) ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X320:$i, 120.16/23.69 X322:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X322 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X320 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X324:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X324 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X320 ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 subset @ 120.16/23.69 X322 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X320 @ 120.16/23.69 X324 ) ) => 120.16/23.69 ( 120.16/23.69 subset @ 120.16/23.69 X324 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X320 @ 120.16/23.69 X322 ) ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X326:$i, 120.16/23.69 X328:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X328 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X326 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X330:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X330 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X326 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X332:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X332 @ 120.16/23.69 X326 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ~ 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X332 @ 120.16/23.69 ( 120.16/23.69 binunion 120.16/23.69 @ 120.16/23.69 X328 @ 120.16/23.69 X330 ) ) ) => 120.16/23.69 ( 120.16/23.69 ~ 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X332 @ 120.16/23.69 X328 ) ) ) ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X334:$i, 120.16/23.69 X336:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X336 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X334 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X338:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X338 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X334 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X340:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X340 @ 120.16/23.69 X334 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ~ 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X340 @ 120.16/23.69 ( 120.16/23.69 binunion 120.16/23.69 @ 120.16/23.69 X336 @ 120.16/23.69 X338 ) ) ) => 120.16/23.69 ( 120.16/23.69 ~ 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X340 @ 120.16/23.69 X338 ) ) ) ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X342:$i, 120.16/23.69 X344:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X344 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X342 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X346:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X346 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X342 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X348:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X348 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X342 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X350:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X350 @ 120.16/23.69 X342 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X350 @ 120.16/23.69 ( 120.16/23.69 binintersect 120.16/23.69 @ 120.16/23.69 X344 @ 120.16/23.69 X346 ) ) => 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X350 @ 120.16/23.69 ( 120.16/23.69 binunion 120.16/23.69 @ 120.16/23.69 X344 @ 120.16/23.69 X348 ) ) ) ) ) ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X352:$i, 120.16/23.69 X354:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X354 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X352 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X356:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X356 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X352 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X358:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X358 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X352 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X360:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X360 @ 120.16/23.69 X352 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X360 @ 120.16/23.69 ( 120.16/23.69 binintersect 120.16/23.69 @ 120.16/23.69 X354 @ 120.16/23.69 X356 ) ) => 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X360 @ 120.16/23.69 ( 120.16/23.69 binunion 120.16/23.69 @ 120.16/23.69 X356 @ 120.16/23.69 X358 ) ) ) ) ) ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X362:$i, 120.16/23.69 X364:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X364 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X362 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X366:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X366 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X362 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X368:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X368 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X362 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X370:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X370 @ 120.16/23.69 X362 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X370 @ 120.16/23.69 ( 120.16/23.69 binintersect 120.16/23.69 @ 120.16/23.69 X364 @ 120.16/23.69 X366 ) ) => 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X370 @ 120.16/23.69 ( 120.16/23.69 binintersect 120.16/23.69 @ 120.16/23.69 ( 120.16/23.69 binunion 120.16/23.69 @ 120.16/23.69 X364 @ 120.16/23.69 X368 ) @ 120.16/23.69 ( 120.16/23.69 binunion 120.16/23.69 @ 120.16/23.69 X366 @ 120.16/23.69 X368 ) ) ) ) ) ) ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X372:$i, 120.16/23.69 X374:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X374 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X372 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X376:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X376 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X372 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X378:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X378 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X372 ) ) => 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 ( 120.16/23.69 binintersect 120.16/23.69 @ 120.16/23.69 X374 @ 120.16/23.69 X376 ) @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 ( 120.16/23.69 binintersect 120.16/23.69 @ 120.16/23.69 ( 120.16/23.69 binunion 120.16/23.69 @ 120.16/23.69 X374 @ 120.16/23.69 X378 ) @ 120.16/23.69 ( 120.16/23.69 binunion 120.16/23.69 @ 120.16/23.69 X376 @ 120.16/23.69 X378 ) ) ) ) ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X380:$i, 120.16/23.69 X382:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X382 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X380 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X384:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X384 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X380 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X386:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X386 @ 120.16/23.69 X380 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X386 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X380 @ 120.16/23.69 ( 120.16/23.69 binunion 120.16/23.69 @ 120.16/23.69 X382 @ 120.16/23.69 X384 ) ) ) => 120.16/23.69 ( 120.16/23.69 ~ 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X386 @ 120.16/23.69 X382 ) ) ) ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X388:$i, 120.16/23.69 X390:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X390 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X388 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X392:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X392 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X388 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X394:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X394 @ 120.16/23.69 X388 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X394 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X388 @ 120.16/23.69 ( 120.16/23.69 binunion 120.16/23.69 @ 120.16/23.69 X390 @ 120.16/23.69 X392 ) ) ) => 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X394 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X388 @ 120.16/23.69 X390 ) ) ) ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X396:$i, 120.16/23.69 X398:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X398 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X396 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X400:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X400 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X396 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X402:$o, 120.16/23.69 X404:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X404 @ 120.16/23.69 X396 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X404 @ 120.16/23.69 ( 120.16/23.69 binunion 120.16/23.69 @ 120.16/23.69 X398 @ 120.16/23.69 X400 ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X404 @ 120.16/23.69 X398 ) => 120.16/23.69 ( 120.16/23.69 X402 ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X404 @ 120.16/23.69 X400 ) => 120.16/23.69 ( 120.16/23.69 X402 ) ) => 120.16/23.69 ( 120.16/23.69 X402 ) ) ) ) ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X406:$i, 120.16/23.69 X408:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X408 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X406 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X410:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X410 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X406 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X412:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X412 @ 120.16/23.69 X406 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ~ 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X412 @ 120.16/23.69 X408 ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ~ 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X412 @ 120.16/23.69 X410 ) ) => 120.16/23.69 ( 120.16/23.69 ~ 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X412 @ 120.16/23.69 ( 120.16/23.69 binunion 120.16/23.69 @ 120.16/23.69 X408 @ 120.16/23.69 X410 ) ) ) ) ) ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X414:$i, 120.16/23.69 X416:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X416 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X414 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X418:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X418 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X414 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X420:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X420 @ 120.16/23.69 X414 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X420 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X414 @ 120.16/23.69 ( 120.16/23.69 binunion 120.16/23.69 @ 120.16/23.69 X416 @ 120.16/23.69 X418 ) ) ) => 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X420 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X414 @ 120.16/23.69 X416 ) ) ) ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X422:$i, 120.16/23.69 X424:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X424 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X422 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X426:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X426 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X422 ) ) => 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X422 @ 120.16/23.69 ( 120.16/23.69 binunion 120.16/23.69 @ 120.16/23.69 X424 @ 120.16/23.69 X426 ) ) @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 ( 120.16/23.69 setminus 120.16/23.69 @ 120.16/23.69 X422 @ 120.16/23.69 X424 ) ) ) ) ) ) ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X428:$i, 120.16/23.69 X430:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X430 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X428 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X432:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X432 @ 120.16/23.69 ( 120.16/23.69 powerset 120.16/23.69 @ 120.16/23.69 X428 ) ) => 120.16/23.69 ( 120.16/23.69 ![ 120.16/23.69 X434:$i]: 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X434 @ 120.16/23.69 X428 ) => 120.16/23.69 ( 120.16/23.69 ( 120.16/23.69 in @ 120.16/23.69 X434 @ 120.16/23.70 ( 120.16/23.70 setminus 120.16/23.70 @ 120.16/23.70 X428 @ 120.16/23.70 ( 120.16/23.70 binunion 120.16/23.70 @ 120.16/23.70 X430 @ 120.16/23.70 X432 ) ) ) => 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X434 @ 120.16/23.70 ( 120.16/23.70 setminus 120.16/23.70 @ 120.16/23.70 X428 @ 120.16/23.70 X432 ) ) ) ) ) ) ) ) ) => 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X436:$i, 120.16/23.70 X438:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X438 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X436 ) ) => 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X440:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X440 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X436 ) ) => 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X442:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X442 @ 120.16/23.70 X436 ) => 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X442 @ 120.16/23.70 ( 120.16/23.70 setminus 120.16/23.70 @ 120.16/23.70 X436 @ 120.16/23.70 ( 120.16/23.70 binintersect 120.16/23.70 @ 120.16/23.70 X438 @ 120.16/23.70 X440 ) ) ) => 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X442 @ 120.16/23.70 ( 120.16/23.70 binunion 120.16/23.70 @ 120.16/23.70 ( 120.16/23.70 setminus 120.16/23.70 @ 120.16/23.70 X436 @ 120.16/23.70 X438 ) @ 120.16/23.70 ( 120.16/23.70 setminus 120.16/23.70 @ 120.16/23.70 X436 @ 120.16/23.70 X440 ) ) ) ) ) ) ) ) ) ) => 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X444:$i, 120.16/23.70 X446:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X446 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X444 ) ) => 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X448:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X448 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X444 ) ) => 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X450:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X450 @ 120.16/23.70 X444 ) => 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X450 @ 120.16/23.70 ( 120.16/23.70 binunion 120.16/23.70 @ 120.16/23.70 ( 120.16/23.70 setminus 120.16/23.70 @ 120.16/23.70 X444 @ 120.16/23.70 X446 ) @ 120.16/23.70 ( 120.16/23.70 setminus 120.16/23.70 @ 120.16/23.70 X444 @ 120.16/23.70 X448 ) ) ) => 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X450 @ 120.16/23.70 ( 120.16/23.70 setminus 120.16/23.70 @ 120.16/23.70 X444 @ 120.16/23.70 ( 120.16/23.70 binintersect 120.16/23.70 @ 120.16/23.70 X446 @ 120.16/23.70 X448 ) ) ) ) ) ) ) ) ) ) => 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X452:$i, 120.16/23.70 X454:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X454 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X452 ) ) => 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X456:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X456 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X452 ) ) => 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 setminus 120.16/23.70 @ 120.16/23.70 X452 @ 120.16/23.70 ( 120.16/23.70 binintersect 120.16/23.70 @ 120.16/23.70 X454 @ 120.16/23.70 X456 ) ) = 120.16/23.70 ( 120.16/23.70 binunion 120.16/23.70 @ 120.16/23.70 ( 120.16/23.70 setminus 120.16/23.70 @ 120.16/23.70 X452 @ 120.16/23.70 X454 ) @ 120.16/23.70 ( 120.16/23.70 setminus 120.16/23.70 @ 120.16/23.70 X452 @ 120.16/23.70 X456 ) ) ) ) ) ) ) => 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X458:$i, 120.16/23.70 X460:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X460 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X458 ) ) => 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X462:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X462 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X458 ) ) => 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X464:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X464 @ 120.16/23.70 X458 ) => 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X464 @ 120.16/23.70 ( 120.16/23.70 setminus 120.16/23.70 @ 120.16/23.70 X458 @ 120.16/23.70 ( 120.16/23.70 binunion 120.16/23.70 @ 120.16/23.70 X460 @ 120.16/23.70 X462 ) ) ) => 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X464 @ 120.16/23.70 ( 120.16/23.70 binintersect 120.16/23.70 @ 120.16/23.70 ( 120.16/23.70 setminus 120.16/23.70 @ 120.16/23.70 X458 @ 120.16/23.70 X460 ) @ 120.16/23.70 ( 120.16/23.70 setminus 120.16/23.70 @ 120.16/23.70 X458 @ 120.16/23.70 X462 ) ) ) ) ) ) ) ) ) ) => 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X466:$i, 120.16/23.70 X468:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X468 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X466 ) ) => 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X470:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X470 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X466 ) ) => 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X472:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X472 @ 120.16/23.70 X466 ) => 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X472 @ 120.16/23.70 ( 120.16/23.70 setminus 120.16/23.70 @ 120.16/23.70 X466 @ 120.16/23.70 X468 ) ) => 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X472 @ 120.16/23.70 ( 120.16/23.70 setminus 120.16/23.70 @ 120.16/23.70 X466 @ 120.16/23.70 X470 ) ) => 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X472 @ 120.16/23.70 ( 120.16/23.70 setminus 120.16/23.70 @ 120.16/23.70 X466 @ 120.16/23.70 ( 120.16/23.70 binunion 120.16/23.70 @ 120.16/23.70 X468 @ 120.16/23.70 X470 ) ) ) ) ) ) ) ) ) ) ) => 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X474:$i, 120.16/23.70 X476:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X476 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X474 ) ) => 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X478:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X478 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X474 ) ) => 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X480:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X480 @ 120.16/23.70 X474 ) => 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X480 @ 120.16/23.70 ( 120.16/23.70 binintersect 120.16/23.70 @ 120.16/23.70 ( 120.16/23.70 setminus 120.16/23.70 @ 120.16/23.70 X474 @ 120.16/23.70 X476 ) @ 120.16/23.70 ( 120.16/23.70 setminus 120.16/23.70 @ 120.16/23.70 X474 @ 120.16/23.70 X478 ) ) ) => 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X480 @ 120.16/23.70 ( 120.16/23.70 setminus 120.16/23.70 @ 120.16/23.70 X474 @ 120.16/23.70 ( 120.16/23.70 binunion 120.16/23.70 @ 120.16/23.70 X476 @ 120.16/23.70 X478 ) ) ) ) ) ) ) ) ) ) => 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X482:$i, 120.16/23.70 X484:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X484 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X482 ) ) => 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X486:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X486 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X482 ) ) => 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 setminus 120.16/23.70 @ 120.16/23.70 X482 @ 120.16/23.70 ( 120.16/23.70 binunion 120.16/23.70 @ 120.16/23.70 X484 @ 120.16/23.70 X486 ) ) = 120.16/23.70 ( 120.16/23.70 binintersect 120.16/23.70 @ 120.16/23.70 ( 120.16/23.70 setminus 120.16/23.70 @ 120.16/23.70 X482 @ 120.16/23.70 X484 ) @ 120.16/23.70 ( 120.16/23.70 setminus 120.16/23.70 @ 120.16/23.70 X482 @ 120.16/23.70 X486 ) ) ) ) ) ) ) => 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X488:$i, 120.16/23.70 X490:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X490 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X488 ) ) => 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X492:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X492 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X488 ) ) => 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X494:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X494 @ 120.16/23.70 ( 120.16/23.70 binintersect 120.16/23.70 @ 120.16/23.70 X490 @ 120.16/23.70 X492 ) ) => 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X494 @ 120.16/23.70 X488 ) ) ) ) ) ) ) => 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X496:$i, 120.16/23.70 X498:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X498 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X496 ) ) => 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X500:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X500 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X496 ) ) => 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X502:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X502 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X496 ) ) => 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 subset @ 120.16/23.70 X498 @ 120.16/23.70 X502 ) => 120.16/23.70 ( 120.16/23.70 subset @ 120.16/23.70 ( 120.16/23.70 binintersect 120.16/23.70 @ 120.16/23.70 X498 @ 120.16/23.70 X500 ) @ 120.16/23.70 X502 ) ) ) ) ) ) ) ) => 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X504:$i, 120.16/23.70 X506:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X506 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X504 ) ) => 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X508:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X508 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X504 ) ) => 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X510:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X510 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X504 ) ) => 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 subset @ 120.16/23.70 X508 @ 120.16/23.70 X510 ) => 120.16/23.70 ( 120.16/23.70 subset @ 120.16/23.70 ( 120.16/23.70 binintersect 120.16/23.70 @ 120.16/23.70 X506 @ 120.16/23.70 X508 ) @ 120.16/23.70 X510 ) ) ) ) ) ) ) ) => 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X512:$i, 120.16/23.70 X514:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X514 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X512 ) ) => 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X516:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X516 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X512 ) ) => 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X518:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X518 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X512 ) ) => 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 subset @ 120.16/23.70 X514 @ 120.16/23.70 X516 ) => 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 subset @ 120.16/23.70 X514 @ 120.16/23.70 X518 ) => 120.16/23.70 ( 120.16/23.70 subset @ 120.16/23.70 X514 @ 120.16/23.70 ( 120.16/23.70 binintersect 120.16/23.70 @ 120.16/23.70 X516 @ 120.16/23.70 X518 ) ) ) ) ) ) ) ) ) ) => 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X520:$i, 120.16/23.70 X522:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X522 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X520 ) ) => 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X524:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X524 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X520 ) ) => 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X526:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X526 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X520 ) ) => 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X528:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X528 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X520 ) ) => 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 subset @ 120.16/23.70 X522 @ 120.16/23.70 X526 ) => 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 subset @ 120.16/23.70 X524 @ 120.16/23.70 X528 ) => 120.16/23.70 ( 120.16/23.70 subset @ 120.16/23.70 ( 120.16/23.70 binintersect 120.16/23.70 @ 120.16/23.70 X522 @ 120.16/23.70 X524 ) @ 120.16/23.70 ( 120.16/23.70 binintersect 120.16/23.70 @ 120.16/23.70 X526 @ 120.16/23.70 X528 ) ) ) ) ) ) ) ) ) ) ) ) => 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X530:$i, 120.16/23.70 X532:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X532 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X530 ) ) => 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X534:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X534 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X530 ) ) => 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 ( 120.16/23.70 setminus 120.16/23.70 @ 120.16/23.70 X530 @ 120.16/23.70 X532 ) @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 ( 120.16/23.70 setminus 120.16/23.70 @ 120.16/23.70 X530 @ 120.16/23.70 ( 120.16/23.70 binintersect 120.16/23.70 @ 120.16/23.70 X532 @ 120.16/23.70 X534 ) ) ) ) ) ) ) ) => 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X536:$i, 120.16/23.70 X538:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X538 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X536 ) ) => 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X540:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X540 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X536 ) ) => 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X542:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X542 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X536 ) ) => 120.16/23.70 ( 120.16/23.70 ![ 120.16/23.70 X544:$i]: 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 in @ 120.16/23.70 X544 @ 120.16/23.70 ( 120.16/23.70 powerset 120.16/23.70 @ 120.16/23.70 X536 ) ) => 120.16/23.70 ( 120.16/23.70 ( 120.16/23.70 setminus 120.16/23.70 @ 120.16/23.70 X536 @ 120.16/23.70 ( 120.16/23.70 binintersect 120.16/23.70 @ 120.16/23.70 ( 120.16/23.70 binunion 120.16/23.70 @ 120.16/23.70 X538 @ 120.16/23.70 X540 ) @ 120.16/23.70 ( 120.16/23.70 binunion 120.16/23.70 @ 120.16/23.70 X542 @ 120.16/23.70 X544 ) ) ) = 120.16/23.70 ( 120.16/23.70 binunion 120.16/23.70 @ 120.16/23.70 ( 120.16/23.70 binintersect 120.16/23.70 @ 120.16/23.70 ( 120.16/23.70 setminus 120.16/23.70 @ 120.16/23.70 X536 @ 120.16/23.70 X538 ) @ 120.16/23.70 ( 120.16/23.70 setminus 120.16/23.70 @ 120.16/23.70 X536 @ 120.16/23.70 X540 ) ) @ 120.16/23.70 ( 120.16/23.70 binintersect 120.16/23.70 @ 120.16/23.70 ( 120.16/23.70 setminus 120.16/23.70 @ 120.16/23.70 X536 @ 120.16/23.70 X542 ) @ 120.16/23.70 ( 120.16/23.70 setminus 120.16/23.70 @ 120.16/23.70 X536 @ 120.16/23.70 X544 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 120.16/23.70 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 120.16/23.70 thf(zip_derived_cl175, plain, 120.16/23.70 (![X216 : $i, X217 : $i, X218 : $i]: 120.16/23.70 (~ (in @ X216 @ (powerset @ X217)) 120.16/23.70 | (in @ (binunion @ X218 @ X216) @ (powerset @ X217)) 120.16/23.70 | ~ (in @ X218 @ (powerset @ X217)))), 120.16/23.70 inference('cnf', [status(esa)], [zf_stmt_1])). 120.16/23.70 thf(zip_derived_cl144, plain, ( (in @ sk__268 @ (powerset @ sk__266))), 120.16/23.70 inference('cnf', [status(esa)], [zf_stmt_1])). 120.16/23.70 thf(zip_derived_cl148, plain, ( (in @ sk__267 @ (powerset @ sk__266))), 120.16/23.70 inference('cnf', [status(esa)], [zf_stmt_1])). 120.16/23.70 thf(zip_derived_cl154, plain, 120.16/23.70 (![X151 : $i, X152 : $i, X153 : $i]: 120.16/23.70 (~ (in @ X151 @ (powerset @ X152)) 120.16/23.70 | ((setminus @ X152 @ (binintersect @ X153 @ X151)) 120.16/23.70 = (binunion @ (setminus @ X152 @ X153) @ (setminus @ X152 @ X151))) 120.16/23.70 | ~ (in @ X153 @ (powerset @ X152)))), 120.16/23.70 inference('cnf', [status(esa)], [zf_stmt_1])). 120.16/23.70 thf(zip_derived_cl145, plain, ( (in @ sk__270 @ (powerset @ sk__266))), 120.16/23.70 inference('cnf', [status(esa)], [zf_stmt_1])). 120.16/23.70 thf(zip_derived_cl147, plain, ( (in @ sk__269 @ (powerset @ sk__266))), 120.16/23.70 inference('cnf', [status(esa)], [zf_stmt_1])). 120.16/23.70 thf(zip_derived_cl146, plain, 120.16/23.70 (((setminus @ sk__266 @ 120.16/23.70 (binintersect @ (binunion @ sk__267 @ sk__268) @ 120.16/23.70 (binunion @ sk__269 @ sk__270))) 120.16/23.70 != (binunion @ 120.16/23.70 (binintersect @ (setminus @ sk__266 @ sk__267) @ 120.16/23.70 (setminus @ sk__266 @ sk__268)) @ 120.16/23.70 (binintersect @ (setminus @ sk__266 @ sk__269) @ 120.16/23.70 (setminus @ sk__266 @ sk__270))))), 120.16/23.70 inference('cnf', [status(esa)], [zf_stmt_1])). 120.16/23.70 thf(zip_derived_cl152, plain, 120.16/23.70 (![X144 : $i, X145 : $i, X146 : $i]: 120.16/23.70 (~ (in @ X144 @ (powerset @ X145)) 120.16/23.70 | ((setminus @ X145 @ (binunion @ X146 @ X144)) 120.16/23.70 = (binintersect @ (setminus @ X145 @ X146) @ 120.16/23.70 (setminus @ X145 @ X144))) 120.16/23.70 | ~ (in @ X146 @ (powerset @ X145)))), 120.16/23.70 inference('cnf', [status(esa)], [zf_stmt_1])). 120.16/23.70 thf(zip_derived_cl6395, plain, ($false), 120.16/23.70 inference('eprover', [status(thm)], 120.16/23.70 [zip_derived_cl175, zip_derived_cl144, zip_derived_cl148, 120.16/23.70 zip_derived_cl154, zip_derived_cl145, zip_derived_cl147, 120.16/23.70 zip_derived_cl146, zip_derived_cl152])). 120.16/23.70 120.16/23.70 % SZS output end Refutation 120.16/23.70 120.16/23.70 120.16/23.70 % Terminating... 120.56/23.96 % Runner terminated. 120.56/23.96 % Zipperpin 1.5 exiting 120.56/24.00 EOF