0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.13/0.17 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ifRPO2bsn6 true 0.16/0.38 % Computer : n016.cluster.edu 0.16/0.38 % Model : x86_64 x86_64 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.16/0.38 % Memory : 8042.1875MB 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64 0.16/0.38 % CPULimit : 1440 0.16/0.38 % WCLimit : 180 0.16/0.38 % DateTime : Thu Jul 4 08:30:24 EDT 2024 0.16/0.38 % CPUTime : 0.16/0.38 % Running portfolio for 1440 s 0.16/0.38 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.24/0.38 % Number of cores: 8 0.24/0.39 % Python version: Python 3.6.8 0.24/0.39 % Running in HO mode 0.57/0.66 % Total configuration time : 828 0.57/0.66 % Estimated wc time : 1656 0.57/0.66 % Estimated cpu time (8 cpus) : 207.0 0.58/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.58/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.59/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.59/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.59/0.78 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.59/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.59/0.79 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.59/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 122.51/16.08 % Solved by lams/40_c_ic.sh. 122.51/16.08 % done 5900 iterations in 15.226s 122.51/16.08 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 122.51/16.08 % SZS output start Refutation 122.51/16.08 thf(setadjoinAx_type, type, setadjoinAx: $o). 122.51/16.08 thf(notdexE_type, type, notdexE: $o). 122.51/16.08 thf(demorgan1a_type, type, demorgan1a: $o). 122.51/16.08 thf(setukpairinjL2_type, type, setukpairinjL2: $o). 122.51/16.08 thf(doubleComplementI1_type, type, doubleComplementI1: $o). 122.51/16.08 thf(setunionAx_type, type, setunionAx: $o). 122.51/16.08 thf(setminusELneg_type, type, setminusELneg: $o). 122.51/16.08 thf(cartprodsndin_type, type, cartprodsndin: $o). 122.51/16.08 thf(ex1E1_type, type, ex1E1: $o). 122.51/16.08 thf(powersetE_type, type, powersetE: $o). 122.51/16.08 thf(woz13rule4_type, type, woz13rule4: $o). 122.51/16.08 thf(omegaSAx_type, type, omegaSAx: $o). 122.51/16.08 thf(exuI1_type, type, exuI1: $o). 122.51/16.08 thf(exuI2_type, type, exuI2: $o). 122.51/16.08 thf(notequalI2_type, type, notequalI2: $o). 122.51/16.08 thf(setukpairinjL_type, type, setukpairinjL: $o). 122.51/16.08 thf(woz13rule1_type, type, woz13rule1: $o). 122.51/16.08 thf(kpairiskpair_type, type, kpairiskpair: $o). 122.51/16.08 thf(upairsubunion_type, type, upairsubunion: $o). 122.51/16.08 thf(funcGraphProp3_type, type, funcGraphProp3: $o). 122.51/16.08 thf(binunionTE_type, type, binunionTE: $o). 122.51/16.08 thf(cartprodmempaircEq_type, type, cartprodmempaircEq: $o). 122.51/16.08 thf(binintersectTERcontra_type, type, binintersectTERcontra: $o). 122.51/16.08 thf(powerset__Cong_type, type, powerset__Cong: $o). 122.51/16.08 thf(sk__268_type, type, sk__268: $i). 122.51/16.08 thf(setminusILneg_type, type, setminusILneg: $o). 122.51/16.08 thf(wellorderingAx_type, type, wellorderingAx: $o). 122.51/16.08 thf(ksndpairEq_type, type, ksndpairEq: $o). 122.51/16.08 thf(funcGraphProp2_type, type, funcGraphProp2: $o). 122.51/16.08 thf(setadjoinSub2_type, type, setadjoinSub2: $o). 122.51/16.08 thf(binintersectSubset5_type, type, binintersectSubset5: $o). 122.51/16.08 thf(iftrue_type, type, iftrue: $o). 122.51/16.08 thf(upairinpowunion_type, type, upairinpowunion: $o). 122.51/16.08 thf(ifSingleton_type, type, ifSingleton: $o). 122.51/16.08 thf(doubleComplementSub2_type, type, doubleComplementSub2: $o). 122.51/16.08 thf(setoftrueEq_type, type, setoftrueEq: $o). 122.51/16.08 thf(funcImageSingleton_type, type, funcImageSingleton: $o). 122.51/16.08 thf(inIntersectImpInUnion2_type, type, inIntersectImpInUnion2: $o). 122.51/16.08 thf(dpsetconstrERa_type, type, dpsetconstrERa: $o). 122.51/16.08 thf(demorgan2b2_type, type, demorgan2b2: $o). 122.51/16.08 thf(lamProp_type, type, lamProp: $o). 122.51/16.08 thf(cartprodpairmemEL_type, type, cartprodpairmemEL: $o). 122.51/16.08 thf(emptyset__Cong_type, type, emptyset__Cong: $o). 122.51/16.08 thf(demorgan2_type, type, demorgan2: $o). 122.51/16.08 thf(sk__267_type, type, sk__267: $i). 122.51/16.08 thf(dpsetconstrER_type, type, dpsetconstrER: $o). 122.51/16.08 thf(sepInPowerset_type, type, sepInPowerset: $o). 122.51/16.08 thf(setukpairIR_type, type, setukpairIR: $o). 122.51/16.08 thf(setukpairinjR1_type, type, setukpairinjR1: $o). 122.51/16.08 thf(lam2p_type, type, lam2p: $o). 122.51/16.08 thf(binunionE_type, type, binunionE: $o). 122.51/16.08 thf(setext_type, type, setext: $o). 122.51/16.08 thf(emptyinPowerset_type, type, emptyinPowerset: $o). 122.51/16.08 thf(ubforcartprodlem1_type, type, ubforcartprodlem1: $o). 122.51/16.08 thf(descr__Cong_type, type, descr__Cong: $o). 122.51/16.08 thf(kfstsingleton_type, type, kfstsingleton: $o). 122.51/16.08 thf(binintersectTELcontra_type, type, binintersectTELcontra: $o). 122.51/16.08 thf(doubleComplementEq_type, type, doubleComplementEq: $o). 122.51/16.08 thf(eqbreln_type, type, eqbreln: $o). 122.51/16.08 thf(binintersectSubset1_type, type, binintersectSubset1: $o). 122.51/16.08 thf(inComplementUnionImpInComplement1_type, type, inComplementUnionImpInComplement1: 122.51/16.08 $o). 122.51/16.08 thf(complementImpComplementIntersect_type, type, complementImpComplementIntersect: 122.51/16.08 $o). 122.51/16.08 thf(in_type, type, in: $i > $i > $o). 122.51/16.08 thf(binunionT_lem_type, type, binunionT_lem: $o). 122.51/16.08 thf(sk__269_type, type, sk__269: $i). 122.51/16.08 thf(quantDeMorgan1_type, type, quantDeMorgan1: $o). 122.51/16.08 thf(complementT_lem_type, type, complementT_lem: $o). 122.51/16.08 thf(binunion_type, type, binunion: $i > $i > $i). 122.51/16.08 thf(kpairsurjEq_type, type, kpairsurjEq: $o). 122.51/16.08 thf(setadjoinIR_type, type, setadjoinIR: $o). 122.51/16.08 thf(doubleComplementE1_type, type, doubleComplementE1: $o). 122.51/16.08 thf(beta1_type, type, beta1: $o). 122.51/16.08 thf(setadjoin__Cong_type, type, setadjoin__Cong: $o). 122.51/16.08 thf(powersetTE1_type, type, powersetTE1: $o). 122.51/16.08 thf(symdiffI2_type, type, symdiffI2: $o). 122.51/16.08 thf(iftrueProp2_type, type, iftrueProp2: $o). 122.51/16.08 thf(upairset2IR_type, type, upairset2IR: $o). 122.51/16.08 thf(iffalseProp2_type, type, iffalseProp2: $o). 122.51/16.08 thf(subsetE_type, type, subsetE: $o). 122.51/16.08 thf(prop2set2propI_type, type, prop2set2propI: $o). 122.51/16.08 thf(demorgan2a_type, type, demorgan2a: $o). 122.51/16.08 thf(dsetconstrEL_type, type, dsetconstrEL: $o). 122.51/16.08 thf(setbeta_type, type, setbeta: $o). 122.51/16.08 thf(eqinunit_type, type, eqinunit: $o). 122.51/16.08 thf(upairsetIL_type, type, upairsetIL: $o). 122.51/16.08 thf(powersetI1_type, type, powersetI1: $o). 122.51/16.08 thf(kfstpairEq_type, type, kfstpairEq: $o). 122.51/16.08 thf(binintersectSubset3_type, type, binintersectSubset3: $o). 122.51/16.08 thf(inComplementUnionImpNotIn1_type, type, inComplementUnionImpNotIn1: $o). 122.51/16.08 thf(setminusIRneg_type, type, setminusIRneg: $o). 122.51/16.08 thf(ap2apEq1_type, type, ap2apEq1: $o). 122.51/16.08 thf(powersetAx_type, type, powersetAx: $o). 122.51/16.08 thf(binintersectSubset4_type, type, binintersectSubset4: $o). 122.51/16.08 thf(singletoninpowunion_type, type, singletoninpowunion: $o). 122.51/16.08 thf(binunionTIRcontra_type, type, binunionTIRcontra: $o). 122.51/16.08 thf(powersetI_type, type, powersetI: $o). 122.51/16.08 thf(cartprodmempair_type, type, cartprodmempair: $o). 122.51/16.08 thf(upairsetIR_type, type, upairsetIR: $o). 122.51/16.08 thf(lamp_type, type, lamp: $o). 122.51/16.08 thf(dpsetconstrEL1_type, type, dpsetconstrEL1: $o). 122.51/16.08 thf(inCongP_type, type, inCongP: $o). 122.51/16.08 thf(setadjoinSub_type, type, setadjoinSub: $o). 122.51/16.08 thf(exuE3e_type, type, exuE3e: $o). 122.51/16.08 thf(emptysetE_type, type, emptysetE: $o). 122.51/16.08 thf(binintersectSubset2_type, type, binintersectSubset2: $o). 122.51/16.08 thf(setunionI_type, type, setunionI: $o). 122.51/16.08 thf(setunion__Cong_type, type, setunion__Cong: $o). 122.51/16.08 thf(prop2setI_type, type, prop2setI: $o). 122.51/16.08 thf(singletonsuniq_type, type, singletonsuniq: $o). 122.51/16.08 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o). 122.51/16.08 thf(setminusER_type, type, setminusER: $o). 122.51/16.08 thf(exuE2_type, type, exuE2: $o). 122.51/16.08 thf(emptyset_type, type, emptyset: $i). 122.51/16.08 thf(setukpairinjR11_type, type, setukpairinjR11: $o). 122.51/16.08 thf(ex1I_type, type, ex1I: $o). 122.51/16.08 thf(ex1E2_type, type, ex1E2: $o). 122.51/16.08 thf(setminus_type, type, setminus: $i > $i > $i). 122.51/16.08 thf(setukpairinjL1_type, type, setukpairinjL1: $o). 122.51/16.08 thf(powersetsubset_type, type, powersetsubset: $o). 122.51/16.08 thf(binunionTILcontra_type, type, binunionTILcontra: $o). 122.51/16.08 thf(subPowSU_type, type, subPowSU: $o). 122.51/16.08 thf(notequalI1_type, type, notequalI1: $o). 122.51/16.08 thf(contrasubsetT_type, type, contrasubsetT: $o). 122.51/16.08 thf(notinemptyset_type, type, notinemptyset: $o). 122.51/16.08 thf(lam2lamEq_type, type, lam2lamEq: $o). 122.51/16.08 thf(nonemptyI1_type, type, nonemptyI1: $o). 122.51/16.08 thf(subsetTrans_type, type, subsetTrans: $o). 122.51/16.08 thf(kpairp_type, type, kpairp: $o). 122.51/16.08 thf(setukpairinjR12_type, type, setukpairinjR12: $o). 122.51/16.08 thf(setminusI_type, type, setminusI: $o). 122.51/16.08 thf(binunionIL_type, type, binunionIL: $o). 122.51/16.08 thf(dpsetconstrSub_type, type, dpsetconstrSub: $o). 122.51/16.08 thf(setunionsingleton_type, type, setunionsingleton: $o). 122.51/16.08 thf(subsetE2_type, type, subsetE2: $o). 122.51/16.08 thf(sk__270_type, type, sk__270: $i). 122.51/16.08 thf(singletonsswitch_type, type, singletonsswitch: $o). 122.51/16.08 thf(ubforcartprodlem3_type, type, ubforcartprodlem3: $o). 122.51/16.08 thf(beta2_type, type, beta2: $o). 122.51/16.08 thf(dpsetconstrI_type, type, dpsetconstrI: $o). 122.51/16.08 thf(setextsub_type, type, setextsub: $o). 122.51/16.08 thf(binunionLsub_type, type, binunionLsub: $o). 122.51/16.08 thf(setunionsingleton1_type, type, setunionsingleton1: $o). 122.51/16.08 thf(binintersect_type, type, binintersect: $i > $i > $i). 122.51/16.08 thf(demorgan2a2_type, type, demorgan2a2: $o). 122.51/16.08 thf(complementUnionInPowersetComplement_type, type, complementUnionInPowersetComplement: 122.51/16.08 $o). 122.51/16.08 thf(iftrueorfalse_type, type, iftrueorfalse: $o). 122.51/16.08 thf(emptysetsubset_type, type, emptysetsubset: $o). 122.51/16.08 thf(quantDeMorgan3_type, type, quantDeMorgan3: $o). 122.51/16.08 thf(cartprodpairsurjEq_type, type, cartprodpairsurjEq: $o). 122.51/16.08 thf(setOfPairsIsBReln_type, type, setOfPairsIsBReln: $o). 122.51/16.08 thf(setunionE_type, type, setunionE: $o). 122.51/16.08 thf(ksndsingleton_type, type, ksndsingleton: $o). 122.51/16.08 thf(setminusSubset1_type, type, setminusSubset1: $o). 122.51/16.08 thf(woz13rule0_type, type, woz13rule0: $o). 122.51/16.08 thf(powersetT_lem_type, type, powersetT_lem: $o). 122.51/16.08 thf(emptyinunitempty_type, type, emptyinunitempty: $o). 122.51/16.08 thf(binunionIR_type, type, binunionIR: $o). 122.51/16.08 thf(theeq_type, type, theeq: $o). 122.51/16.08 thf(setadjoinE_type, type, setadjoinE: $o). 122.51/16.08 thf(doubleComplementSub1_type, type, doubleComplementSub1: $o). 122.51/16.08 thf(sk__266_type, type, sk__266: $i). 122.51/16.08 thf(infuncsetfunc_type, type, infuncsetfunc: $o). 122.51/16.08 thf(woz13rule3_type, type, woz13rule3: $o). 122.51/16.08 thf(ap2apEq2_type, type, ap2apEq2: $o). 122.51/16.08 thf(ap2p_type, type, ap2p: $o). 122.51/16.08 thf(setadjoinIL_type, type, setadjoinIL: $o). 122.51/16.08 thf(cartprodsndpairEq_type, type, cartprodsndpairEq: $o). 122.51/16.08 thf(exuE1_type, type, exuE1: $o). 122.51/16.08 thf(ubforcartprodlem2_type, type, ubforcartprodlem2: $o). 122.51/16.08 thf(binintersectRsub_type, type, binintersectRsub: $o). 122.51/16.08 thf(setminusLsub_type, type, setminusLsub: $o). 122.51/16.08 thf(funcextLem_type, type, funcextLem: $o). 122.51/16.08 thf(setukpairinjR_type, type, setukpairinjR: $o). 122.51/16.08 thf(notinsingleton_type, type, notinsingleton: $o). 122.51/16.08 thf(inIntersectImpInIntersectUnions_type, type, inIntersectImpInIntersectUnions: 122.51/16.08 $o). 122.51/16.08 thf(eqimpsubset2_type, type, eqimpsubset2: $o). 122.51/16.08 thf(exuEu_type, type, exuEu: $o). 122.51/16.08 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o). 122.51/16.08 thf(upairsetE_type, type, upairsetE: $o). 122.51/16.08 thf(omega0Ax_type, type, omega0Ax: $o). 122.51/16.08 thf(subsetTI_type, type, subsetTI: $o). 122.51/16.08 thf(notsubsetI_type, type, notsubsetI: $o). 122.51/16.08 thf(contraSubsetComplement_type, type, contraSubsetComplement: $o). 122.51/16.08 thf(iffalseProp1_type, type, iffalseProp1: $o). 122.51/16.08 thf(quantDeMorgan4_type, type, quantDeMorgan4: $o). 122.51/16.08 thf(setextAx_type, type, setextAx: $o). 122.51/16.08 thf(cartprodpairmemER_type, type, cartprodpairmemER: $o). 122.51/16.08 thf(powersetE1_type, type, powersetE1: $o). 122.51/16.08 thf(bs114d_type, type, bs114d: $o). 122.51/16.08 thf(contrasubsetT3_type, type, contrasubsetT3: $o). 122.51/16.08 thf(noeltsimpempty_type, type, noeltsimpempty: $o). 122.51/16.08 thf(complementTcontraSubset_type, type, complementTcontraSubset: $o). 122.51/16.08 thf(ifp_type, type, ifp: $o). 122.51/16.08 thf(inIntersectImpInUnion_type, type, inIntersectImpInUnion: $o). 122.51/16.08 thf(powersetTI1_type, type, powersetTI1: $o). 122.51/16.08 thf(binintersectLsub_type, type, binintersectLsub: $o). 122.51/16.08 thf(subsetI1_type, type, subsetI1: $o). 122.51/16.08 thf(symdiffE_type, type, symdiffE: $o). 122.51/16.08 thf(descrp_type, type, descrp: $o). 122.51/16.08 thf(dsetconstr__Cong_type, type, dsetconstr__Cong: $o). 122.51/16.08 thf(foundationAx_type, type, foundationAx: $o). 122.51/16.08 thf(emptysetAx_type, type, emptysetAx: $o). 122.51/16.08 thf(emptyI_type, type, emptyI: $o). 122.51/16.08 thf(setadjoinOr_type, type, setadjoinOr: $o). 122.51/16.08 thf(eta2_type, type, eta2: $o). 122.51/16.08 thf(binintersectEL_type, type, binintersectEL: $o). 122.51/16.08 thf(emptyE1_type, type, emptyE1: $o). 122.51/16.08 thf(emptyInPowerset_type, type, emptyInPowerset: $o). 122.51/16.08 thf(complementTI1_type, type, complementTI1: $o). 122.51/16.08 thf(vacuousDall_type, type, vacuousDall: $o). 122.51/16.08 thf(dsetconstrER_type, type, dsetconstrER: $o). 122.51/16.08 thf(binintersectI_type, type, binintersectI: $o). 122.51/16.08 thf(funcext_type, type, funcext: $o). 122.51/16.08 thf(funcGraphProp4_type, type, funcGraphProp4: $o). 122.51/16.08 thf(cartprodpairin_type, type, cartprodpairin: $o). 122.51/16.08 thf(cartprodmempair1_type, type, cartprodmempair1: $o). 122.51/16.08 thf(woz13rule2_type, type, woz13rule2: $o). 122.51/16.08 thf(brelnall2_type, type, brelnall2: $o). 122.51/16.08 thf(setextT_type, type, setextT: $o). 122.51/16.08 thf(ex1I2_type, type, ex1I2: $o). 122.51/16.08 thf(symdiffI1_type, type, symdiffI1: $o). 122.51/16.08 thf(setukpairinjR2_type, type, setukpairinjR2: $o). 122.51/16.08 thf(dpsetconstrEL2_type, type, dpsetconstrEL2: $o). 122.51/16.08 thf(theprop_type, type, theprop: $o). 122.51/16.08 thf(subsetI2_type, type, subsetI2: $o). 122.51/16.08 thf(complementInPowersetComplementIntersect_type, type, complementInPowersetComplementIntersect: 122.51/16.08 $o). 122.51/16.08 thf(demorgan1_type, type, demorgan1: $o). 122.51/16.08 thf(setminusT_lem_type, type, setminusT_lem: $o). 122.51/16.08 thf(symdiffIneg1_type, type, symdiffIneg1: $o). 122.51/16.08 thf(setminusERneg_type, type, setminusERneg: $o). 122.51/16.08 thf(symdiffIneg2_type, type, symdiffIneg2: $o). 122.51/16.08 thf(omega__Cong_type, type, omega__Cong: $o). 122.51/16.08 thf(subsetRefl_type, type, subsetRefl: $o). 122.51/16.08 thf(uniqinunit_type, type, uniqinunit: $o). 122.51/16.08 thf(complementSubsetComplementIntersect_type, type, complementSubsetComplementIntersect: 122.51/16.08 $o). 122.51/16.08 thf(demorgan2b_type, type, demorgan2b: $o). 122.51/16.08 thf(setminusSubset2_type, type, setminusSubset2: $o). 122.51/16.08 thf(prop2setE_type, type, prop2setE: $o). 122.51/16.08 thf(binunionEcases_type, type, binunionEcases: $o). 122.51/16.08 thf(funcinfuncset_type, type, funcinfuncset: $o). 122.51/16.08 thf(complementTE1_type, type, complementTE1: $o). 122.51/16.08 thf(nonemptyI_type, type, nonemptyI: $o). 122.51/16.08 thf(app_type, type, app: $o). 122.51/16.08 thf(disjointsetsI1_type, type, disjointsetsI1: $o). 122.51/16.08 thf(demorgan2a1_type, type, demorgan2a1: $o). 122.51/16.08 thf(exuE3u_type, type, exuE3u: $o). 122.51/16.08 thf(eta1_type, type, eta1: $o). 122.51/16.08 thf(setminusEL_type, type, setminusEL: $o). 122.51/16.08 thf(cartprodfstin_type, type, cartprodfstin: $o). 122.51/16.08 thf(setunionsingleton2_type, type, setunionsingleton2: $o). 122.51/16.08 thf(sepSubset_type, type, sepSubset: $o). 122.51/16.08 thf(complementTnotintersectT_type, type, complementTnotintersectT: $o). 122.51/16.08 thf(upairset2E_type, type, upairset2E: $o). 122.51/16.08 thf(eqimpsubset1_type, type, eqimpsubset1: $o). 122.51/16.08 thf(exuI3_type, type, exuI3: $o). 122.51/16.08 thf(cartprodfstpairEq_type, type, cartprodfstpairEq: $o). 122.51/16.08 thf(apProp_type, type, apProp: $o). 122.51/16.08 thf(notdallE_type, type, notdallE: $o). 122.51/16.08 thf(iftrueProp1_type, type, iftrueProp1: $o). 122.51/16.08 thf(binintersectER_type, type, binintersectER: $o). 122.51/16.08 thf(brelnall1_type, type, brelnall1: $o). 122.51/16.08 thf(powerset_type, type, powerset: $i > $i). 122.51/16.08 thf(binunionTEcontra_type, type, binunionTEcontra: $o). 122.51/16.08 thf(demorgan1b_type, type, demorgan1b: $o). 122.51/16.08 thf(dsetconstrI_type, type, dsetconstrI: $o). 122.51/16.08 thf(funcGraphProp1_type, type, funcGraphProp1: $o). 122.51/16.08 thf(binintersectT_lem_type, type, binintersectT_lem: $o). 122.51/16.08 thf(setadjoin_type, type, setadjoin: $i > $i > $i). 122.51/16.08 thf(exu__Cong_type, type, exu__Cong: $o). 122.51/16.08 thf(intersectInPowersetIntersectUnions_type, type, intersectInPowersetIntersectUnions: 122.51/16.08 $o). 122.51/16.08 thf(quantDeMorgan2_type, type, quantDeMorgan2: $o). 122.51/16.08 thf(contrasubsetT2_type, type, contrasubsetT2: $o). 122.51/16.08 thf(secondinupair_type, type, secondinupair: $o). 122.51/16.08 thf(singletonprop_type, type, singletonprop: $o). 122.51/16.08 thf(singletonsubset_type, type, singletonsubset: $o). 122.51/16.08 thf(contrasubsetT1_type, type, contrasubsetT1: $o). 122.51/16.08 thf(singletoninpowerset_type, type, singletoninpowerset: $o). 122.51/16.08 thf(subsetemptysetimpeq_type, type, subsetemptysetimpeq: $o). 122.51/16.08 thf(replAx_type, type, replAx: $o). 122.51/16.08 thf(upairequniteq_type, type, upairequniteq: $o). 122.51/16.08 thf(nonemptyE1_type, type, nonemptyE1: $o). 122.51/16.08 thf(omegaIndAx_type, type, omegaIndAx: $o). 122.51/16.08 thf(setukpairIL_type, type, setukpairIL: $o). 122.51/16.08 thf(setunionE2_type, type, setunionE2: $o). 122.51/16.08 thf(inPowerset_type, type, inPowerset: $o). 122.51/16.08 thf(iffalse_type, type, iffalse: $o). 122.51/16.08 thf(funcext2_type, type, funcext2: $o). 122.51/16.08 thf(subset_type, type, subset: $i > $i > $o). 122.51/16.08 thf(woz1_1_type, type, woz1_1: $o). 122.51/16.08 thf(subbreln_type, type, subbreln: $o). 122.51/16.08 thf(in__Cong_type, type, in__Cong: $o). 122.51/16.08 thf(binunionRsub_type, type, binunionRsub: $o). 122.51/16.08 thf(subset2powerset_type, type, subset2powerset: $o). 122.51/16.08 thf(woz1_1, axiom, woz1_1 = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( in @ 122.51/16.08 ( setminus @ A @ X ) @ 122.51/16.08 ( powerset @ ( setminus @ A @ ( binintersect @ X @ Y ) ) ) ) ) ) ))). 122.51/16.08 thf('0', plain, 122.51/16.08 (( woz1_1 ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( in @ 122.51/16.08 ( setminus @ X4 @ X6 ) @ 122.51/16.08 ( powerset @ ( setminus @ X4 @ ( binintersect @ X6 @ X8 ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(woz13rule4, axiom, woz13rule4 = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ![Z:$i]: 122.51/16.08 ( ( in @ Z @ ( powerset @ A ) ) => 122.51/16.08 ( ![W:$i]: 122.51/16.08 ( ( in @ W @ ( powerset @ A ) ) => 122.51/16.08 ( ( subset @ X @ Z ) => 122.51/16.08 ( ( subset @ Y @ W ) => 122.51/16.08 ( subset @ 122.51/16.08 ( binintersect @ X @ Y ) @ ( binintersect @ Z @ W ) ) ) ) ) ) ) ) ) ) ))). 122.51/16.08 thf('1', plain, 122.51/16.08 (( woz13rule4 ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X10:$i]: 122.51/16.08 ( ( in @ X10 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X12:$i]: 122.51/16.08 ( ( in @ X12 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ( subset @ X6 @ X10 ) => 122.51/16.08 ( ( subset @ X8 @ X12 ) => 122.51/16.08 ( subset @ 122.51/16.08 ( binintersect @ X6 @ X8 ) @ 122.51/16.08 ( binintersect @ X10 @ X12 ) ) ) ) ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(woz13rule3, axiom, woz13rule3 = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ![Z:$i]: 122.51/16.08 ( ( in @ Z @ ( powerset @ A ) ) => 122.51/16.08 ( ( subset @ X @ Y ) => 122.51/16.08 ( ( subset @ X @ Z ) => 122.51/16.08 ( subset @ X @ ( binintersect @ Y @ Z ) ) ) ) ) ) ) ) ))). 122.51/16.08 thf('2', plain, 122.51/16.08 (( woz13rule3 ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X10:$i]: 122.51/16.08 ( ( in @ X10 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ( subset @ X6 @ X8 ) => 122.51/16.08 ( ( subset @ X6 @ X10 ) => 122.51/16.08 ( subset @ X6 @ ( binintersect @ X8 @ X10 ) ) ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(woz13rule2, axiom, woz13rule2 = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ![Z:$i]: 122.51/16.08 ( ( in @ Z @ ( powerset @ A ) ) => 122.51/16.08 ( ( subset @ Y @ Z ) => 122.51/16.08 ( subset @ ( binintersect @ X @ Y ) @ Z ) ) ) ) ) ) ))). 122.51/16.08 thf('3', plain, 122.51/16.08 (( woz13rule2 ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X10:$i]: 122.51/16.08 ( ( in @ X10 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ( subset @ X8 @ X10 ) => 122.51/16.08 ( subset @ ( binintersect @ X6 @ X8 ) @ X10 ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(woz13rule1, axiom, woz13rule1 = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ![Z:$i]: 122.51/16.08 ( ( in @ Z @ ( powerset @ A ) ) => 122.51/16.08 ( ( subset @ X @ Z ) => 122.51/16.08 ( subset @ ( binintersect @ X @ Y ) @ Z ) ) ) ) ) ) ))). 122.51/16.08 thf('4', plain, 122.51/16.08 (( woz13rule1 ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X10:$i]: 122.51/16.08 ( ( in @ X10 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ( subset @ X6 @ X10 ) => 122.51/16.08 ( subset @ ( binintersect @ X6 @ X8 ) @ X10 ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(woz13rule0, axiom, woz13rule0 = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ![Xx:$i]: 122.51/16.08 ( ( in @ Xx @ ( binintersect @ X @ Y ) ) => ( in @ Xx @ A ) ) ) ) ) ))). 122.51/16.08 thf('5', plain, 122.51/16.08 (( woz13rule0 ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X10:$i]: 122.51/16.08 ( ( in @ X10 @ ( binintersect @ X6 @ X8 ) ) => 122.51/16.08 ( in @ X10 @ X4 ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(demorgan2, axiom, demorgan2 = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ( setminus @ A @ ( binunion @ X @ Y ) ) = 122.51/16.08 ( binintersect @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) ) ) ) ))). 122.51/16.08 thf('6', plain, 122.51/16.08 (( demorgan2 ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ( setminus @ X4 @ ( binunion @ X6 @ X8 ) ) = 122.51/16.08 ( binintersect @ 122.51/16.08 ( setminus @ X4 @ X6 ) @ ( setminus @ X4 @ X8 ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(demorgan2b, axiom, demorgan2b = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ![Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ( in @ 122.51/16.08 Xx @ 122.51/16.08 ( binintersect @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) ) => 122.51/16.08 ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) ) ) ) ) ) ) ))). 122.51/16.08 thf('7', plain, 122.51/16.08 (( demorgan2b ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X10:$i]: 122.51/16.08 ( ( in @ X10 @ X4 ) => 122.51/16.08 ( ( in @ 122.51/16.08 X10 @ 122.51/16.08 ( binintersect @ 122.51/16.08 ( setminus @ X4 @ X6 ) @ ( setminus @ X4 @ X8 ) ) ) => 122.51/16.08 ( in @ X10 @ ( setminus @ X4 @ ( binunion @ X6 @ X8 ) ) ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(demorgan2b2, axiom, demorgan2b2 = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ![Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ( in @ Xx @ ( setminus @ A @ X ) ) => 122.51/16.08 ( ( in @ Xx @ ( setminus @ A @ Y ) ) => 122.51/16.08 ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) ) ) ) ) ) ) ) ))). 122.51/16.08 thf('8', plain, 122.51/16.08 (( demorgan2b2 ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X10:$i]: 122.51/16.08 ( ( in @ X10 @ X4 ) => 122.51/16.08 ( ( in @ X10 @ ( setminus @ X4 @ X6 ) ) => 122.51/16.08 ( ( in @ X10 @ ( setminus @ X4 @ X8 ) ) => 122.51/16.08 ( in @ X10 @ ( setminus @ X4 @ ( binunion @ X6 @ X8 ) ) ) ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(demorgan2a, axiom, demorgan2a = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ![Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) ) => 122.51/16.08 ( in @ 122.51/16.08 Xx @ 122.51/16.08 ( binintersect @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) ) ) ) ) ) ) ))). 122.51/16.08 thf('9', plain, 122.51/16.08 (( demorgan2a ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X10:$i]: 122.51/16.08 ( ( in @ X10 @ X4 ) => 122.51/16.08 ( ( in @ X10 @ ( setminus @ X4 @ ( binunion @ X6 @ X8 ) ) ) => 122.51/16.08 ( in @ 122.51/16.08 X10 @ 122.51/16.08 ( binintersect @ 122.51/16.08 ( setminus @ X4 @ X6 ) @ ( setminus @ X4 @ X8 ) ) ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(demorgan1, axiom, demorgan1 = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ( setminus @ A @ ( binintersect @ X @ Y ) ) = 122.51/16.08 ( binunion @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) ) ) ) ))). 122.51/16.08 thf('10', plain, 122.51/16.08 (( demorgan1 ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ( setminus @ X4 @ ( binintersect @ X6 @ X8 ) ) = 122.51/16.08 ( binunion @ ( setminus @ X4 @ X6 ) @ ( setminus @ X4 @ X8 ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(demorgan1b, axiom, demorgan1b = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ![Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ( in @ 122.51/16.08 Xx @ 122.51/16.08 ( binunion @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) ) => 122.51/16.08 ( in @ Xx @ ( setminus @ A @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ))). 122.51/16.08 thf('11', plain, 122.51/16.08 (( demorgan1b ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X10:$i]: 122.51/16.08 ( ( in @ X10 @ X4 ) => 122.51/16.08 ( ( in @ 122.51/16.08 X10 @ 122.51/16.08 ( binunion @ 122.51/16.08 ( setminus @ X4 @ X6 ) @ ( setminus @ X4 @ X8 ) ) ) => 122.51/16.08 ( in @ 122.51/16.08 X10 @ ( setminus @ X4 @ ( binintersect @ X6 @ X8 ) ) ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(demorgan1a, axiom, demorgan1a = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ![Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ( in @ Xx @ ( setminus @ A @ ( binintersect @ X @ Y ) ) ) => 122.51/16.08 ( in @ 122.51/16.08 Xx @ 122.51/16.08 ( binunion @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) ) ) ) ) ) ) ))). 122.51/16.08 thf('12', plain, 122.51/16.08 (( demorgan1a ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X10:$i]: 122.51/16.08 ( ( in @ X10 @ X4 ) => 122.51/16.08 ( ( in @ 122.51/16.08 X10 @ ( setminus @ X4 @ ( binintersect @ X6 @ X8 ) ) ) => 122.51/16.08 ( in @ 122.51/16.08 X10 @ 122.51/16.08 ( binunion @ 122.51/16.08 ( setminus @ X4 @ X6 ) @ ( setminus @ X4 @ X8 ) ) ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(demorgan2a2, axiom, demorgan2a2 = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ![Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) ) => 122.51/16.08 ( in @ Xx @ ( setminus @ A @ Y ) ) ) ) ) ) ) ))). 122.51/16.08 thf('13', plain, 122.51/16.08 (( demorgan2a2 ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X10:$i]: 122.51/16.08 ( ( in @ X10 @ X4 ) => 122.51/16.08 ( ( in @ X10 @ ( setminus @ X4 @ ( binunion @ X6 @ X8 ) ) ) => 122.51/16.08 ( in @ X10 @ ( setminus @ X4 @ X8 ) ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(complementUnionInPowersetComplement, axiom, 122.51/16.08 complementUnionInPowersetComplement = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( in @ 122.51/16.08 ( setminus @ A @ ( binunion @ X @ Y ) ) @ 122.51/16.08 ( powerset @ ( setminus @ A @ X ) ) ) ) ) ))). 122.51/16.08 thf('14', plain, 122.51/16.08 (( complementUnionInPowersetComplement ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( in @ 122.51/16.08 ( setminus @ X4 @ ( binunion @ X6 @ X8 ) ) @ 122.51/16.08 ( powerset @ ( setminus @ X4 @ X6 ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(demorgan2a1, axiom, demorgan2a1 = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ![Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) ) => 122.51/16.08 ( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ) ))). 122.51/16.08 thf('15', plain, 122.51/16.08 (( demorgan2a1 ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X10:$i]: 122.51/16.08 ( ( in @ X10 @ X4 ) => 122.51/16.08 ( ( in @ X10 @ ( setminus @ X4 @ ( binunion @ X6 @ X8 ) ) ) => 122.51/16.08 ( in @ X10 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(binunionTEcontra, axiom, binunionTEcontra = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ![Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ( ~( in @ Xx @ X ) ) => 122.51/16.08 ( ( ~( in @ Xx @ Y ) ) => 122.51/16.08 ( ~( in @ Xx @ ( binunion @ X @ Y ) ) ) ) ) ) ) ) ) ))). 122.51/16.08 thf('16', plain, 122.51/16.08 (( binunionTEcontra ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X10:$i]: 122.51/16.08 ( ( in @ X10 @ X4 ) => 122.51/16.08 ( ( ~( in @ X10 @ X6 ) ) => 122.51/16.08 ( ( ~( in @ X10 @ X8 ) ) => 122.51/16.08 ( ~( in @ X10 @ ( binunion @ X6 @ X8 ) ) ) ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(binunionTE, axiom, binunionTE = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ![Xphi:$o,Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ( in @ Xx @ ( binunion @ X @ Y ) ) => 122.51/16.08 ( ( ( in @ Xx @ X ) => ( Xphi ) ) => 122.51/16.08 ( ( ( in @ Xx @ Y ) => ( Xphi ) ) => ( Xphi ) ) ) ) ) ) ) ) ))). 122.51/16.08 thf('17', plain, 122.51/16.08 (( binunionTE ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X10:$o,X12:$i]: 122.51/16.08 ( ( in @ X12 @ X4 ) => 122.51/16.08 ( ( in @ X12 @ ( binunion @ X6 @ X8 ) ) => 122.51/16.08 ( ( ( in @ X12 @ X6 ) => ( X10 ) ) => 122.51/16.08 ( ( ( in @ X12 @ X8 ) => ( X10 ) ) => ( X10 ) ) ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(inComplementUnionImpInComplement1, axiom, 122.51/16.08 inComplementUnionImpInComplement1 = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ![Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) ) => 122.51/16.08 ( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ) ))). 122.51/16.08 thf('18', plain, 122.51/16.08 (( inComplementUnionImpInComplement1 ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X10:$i]: 122.51/16.08 ( ( in @ X10 @ X4 ) => 122.51/16.08 ( ( in @ X10 @ ( setminus @ X4 @ ( binunion @ X6 @ X8 ) ) ) => 122.51/16.08 ( in @ X10 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(inComplementUnionImpNotIn1, axiom, inComplementUnionImpNotIn1 = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ![Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) ) => 122.51/16.08 ( ~( in @ Xx @ X ) ) ) ) ) ) ) ))). 122.51/16.08 thf('19', plain, 122.51/16.08 (( inComplementUnionImpNotIn1 ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X10:$i]: 122.51/16.08 ( ( in @ X10 @ X4 ) => 122.51/16.08 ( ( in @ X10 @ ( setminus @ X4 @ ( binunion @ X6 @ X8 ) ) ) => 122.51/16.08 ( ~( in @ X10 @ X6 ) ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(intersectInPowersetIntersectUnions, axiom, 122.51/16.08 intersectInPowersetIntersectUnions = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ![Z:$i]: 122.51/16.08 ( ( in @ Z @ ( powerset @ A ) ) => 122.51/16.08 ( in @ 122.51/16.08 ( binintersect @ X @ Y ) @ 122.51/16.08 ( powerset @ 122.51/16.08 ( binintersect @ ( binunion @ X @ Z ) @ ( binunion @ Y @ Z ) ) ) ) ) ) ) ) ))). 122.51/16.08 thf('20', plain, 122.51/16.08 (( intersectInPowersetIntersectUnions ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X10:$i]: 122.51/16.08 ( ( in @ X10 @ ( powerset @ X4 ) ) => 122.51/16.08 ( in @ 122.51/16.08 ( binintersect @ X6 @ X8 ) @ 122.51/16.08 ( powerset @ 122.51/16.08 ( binintersect @ 122.51/16.08 ( binunion @ X6 @ X10 ) @ ( binunion @ X8 @ X10 ) ) ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(inIntersectImpInIntersectUnions, axiom, inIntersectImpInIntersectUnions = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ![Z:$i]: 122.51/16.08 ( ( in @ Z @ ( powerset @ A ) ) => 122.51/16.08 ( ![Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ( in @ Xx @ ( binintersect @ X @ Y ) ) => 122.51/16.08 ( in @ 122.51/16.08 Xx @ 122.51/16.08 ( binintersect @ 122.51/16.08 ( binunion @ X @ Z ) @ ( binunion @ Y @ Z ) ) ) ) ) ) ) ) ) ) ))). 122.51/16.08 thf('21', plain, 122.51/16.08 (( inIntersectImpInIntersectUnions ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X10:$i]: 122.51/16.08 ( ( in @ X10 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X12:$i]: 122.51/16.08 ( ( in @ X12 @ X4 ) => 122.51/16.08 ( ( in @ X12 @ ( binintersect @ X6 @ X8 ) ) => 122.51/16.08 ( in @ 122.51/16.08 X12 @ 122.51/16.08 ( binintersect @ 122.51/16.08 ( binunion @ X6 @ X10 ) @ ( binunion @ X8 @ X10 ) ) ) ) ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(inIntersectImpInUnion2, axiom, inIntersectImpInUnion2 = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ![Z:$i]: 122.51/16.08 ( ( in @ Z @ ( powerset @ A ) ) => 122.51/16.08 ( ![Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ( in @ Xx @ ( binintersect @ X @ Y ) ) => 122.51/16.08 ( in @ Xx @ ( binunion @ Y @ Z ) ) ) ) ) ) ) ) ) ))). 122.51/16.08 thf('22', plain, 122.51/16.08 (( inIntersectImpInUnion2 ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X10:$i]: 122.51/16.08 ( ( in @ X10 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X12:$i]: 122.51/16.08 ( ( in @ X12 @ X4 ) => 122.51/16.08 ( ( in @ X12 @ ( binintersect @ X6 @ X8 ) ) => 122.51/16.08 ( in @ X12 @ ( binunion @ X8 @ X10 ) ) ) ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(inIntersectImpInUnion, axiom, inIntersectImpInUnion = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ![Z:$i]: 122.51/16.08 ( ( in @ Z @ ( powerset @ A ) ) => 122.51/16.08 ( ![Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ( in @ Xx @ ( binintersect @ X @ Y ) ) => 122.51/16.08 ( in @ Xx @ ( binunion @ X @ Z ) ) ) ) ) ) ) ) ) ))). 122.51/16.08 thf('23', plain, 122.51/16.08 (( inIntersectImpInUnion ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X10:$i]: 122.51/16.08 ( ( in @ X10 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X12:$i]: 122.51/16.08 ( ( in @ X12 @ X4 ) => 122.51/16.08 ( ( in @ X12 @ ( binintersect @ X6 @ X8 ) ) => 122.51/16.08 ( in @ X12 @ ( binunion @ X6 @ X10 ) ) ) ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(binunionTIRcontra, axiom, binunionTIRcontra = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ![Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ( ~( in @ Xx @ ( binunion @ X @ Y ) ) ) => 122.51/16.08 ( ~( in @ Xx @ Y ) ) ) ) ) ) ) ))). 122.51/16.08 thf('24', plain, 122.51/16.08 (( binunionTIRcontra ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X10:$i]: 122.51/16.08 ( ( in @ X10 @ X4 ) => 122.51/16.08 ( ( ~( in @ X10 @ ( binunion @ X6 @ X8 ) ) ) => 122.51/16.08 ( ~( in @ X10 @ X8 ) ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(binunionTILcontra, axiom, binunionTILcontra = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ![Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ( ~( in @ Xx @ ( binunion @ X @ Y ) ) ) => 122.51/16.08 ( ~( in @ Xx @ X ) ) ) ) ) ) ) ))). 122.51/16.08 thf('25', plain, 122.51/16.08 (( binunionTILcontra ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X10:$i]: 122.51/16.08 ( ( in @ X10 @ X4 ) => 122.51/16.08 ( ( ~( in @ X10 @ ( binunion @ X6 @ X8 ) ) ) => 122.51/16.08 ( ~( in @ X10 @ X6 ) ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(complementTcontraSubset, axiom, complementTcontraSubset = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ( subset @ X @ ( setminus @ A @ Y ) ) => 122.51/16.08 ( subset @ Y @ ( setminus @ A @ X ) ) ) ) ) ))). 122.51/16.08 thf('26', plain, 122.51/16.08 (( complementTcontraSubset ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ( subset @ X6 @ ( setminus @ X4 @ X8 ) ) => 122.51/16.08 ( subset @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(contraSubsetComplement, axiom, contraSubsetComplement = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ( subset @ X @ ( setminus @ A @ Y ) ) => 122.51/16.08 ( ![Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ( in @ Xx @ Y ) => ( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ) ) ))). 122.51/16.08 thf('27', plain, 122.51/16.08 (( contraSubsetComplement ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ( subset @ X6 @ ( setminus @ X4 @ X8 ) ) => 122.51/16.08 ( ![X10:$i]: 122.51/16.08 ( ( in @ X10 @ X4 ) => 122.51/16.08 ( ( in @ X10 @ X8 ) => 122.51/16.08 ( in @ X10 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(complementInPowersetComplementIntersect, axiom, 122.51/16.08 complementInPowersetComplementIntersect = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( in @ 122.51/16.08 ( setminus @ A @ X ) @ 122.51/16.08 ( powerset @ ( setminus @ A @ ( binintersect @ X @ Y ) ) ) ) ) ) ))). 122.51/16.08 thf('28', plain, 122.51/16.08 (( complementInPowersetComplementIntersect ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( in @ 122.51/16.08 ( setminus @ X4 @ X6 ) @ 122.51/16.08 ( powerset @ ( setminus @ X4 @ ( binintersect @ X6 @ X8 ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(complementSubsetComplementIntersect, axiom, 122.51/16.08 complementSubsetComplementIntersect = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( subset @ 122.51/16.08 ( setminus @ A @ X ) @ ( setminus @ A @ ( binintersect @ X @ Y ) ) ) ) ) ))). 122.51/16.08 thf('29', plain, 122.51/16.08 (( complementSubsetComplementIntersect ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( subset @ 122.51/16.08 ( setminus @ X4 @ X6 ) @ 122.51/16.08 ( setminus @ X4 @ ( binintersect @ X6 @ X8 ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(complementImpComplementIntersect, axiom, 122.51/16.08 complementImpComplementIntersect = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ![Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ( in @ Xx @ ( setminus @ A @ X ) ) => 122.51/16.08 ( in @ Xx @ ( setminus @ A @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ))). 122.51/16.08 thf('30', plain, 122.51/16.08 (( complementImpComplementIntersect ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X10:$i]: 122.51/16.08 ( ( in @ X10 @ X4 ) => 122.51/16.08 ( ( in @ X10 @ ( setminus @ X4 @ X6 ) ) => 122.51/16.08 ( in @ 122.51/16.08 X10 @ ( setminus @ X4 @ ( binintersect @ X6 @ X8 ) ) ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(complementTnotintersectT, axiom, complementTnotintersectT = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ![Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ( in @ Xx @ ( setminus @ A @ X ) ) => 122.51/16.08 ( ~( in @ Xx @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ))). 122.51/16.08 thf('31', plain, 122.51/16.08 (( complementTnotintersectT ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X10:$i]: 122.51/16.08 ( ( in @ X10 @ X4 ) => 122.51/16.08 ( ( in @ X10 @ ( setminus @ X4 @ X6 ) ) => 122.51/16.08 ( ~( in @ X10 @ ( binintersect @ X6 @ X8 ) ) ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(doubleComplementEq, axiom, doubleComplementEq = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ( X ) = ( setminus @ A @ ( setminus @ A @ X ) ) ) ))). 122.51/16.08 thf('32', plain, 122.51/16.08 (( doubleComplementEq ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ( X6 ) = ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(doubleComplementSub2, axiom, doubleComplementSub2 = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( subset @ ( setminus @ A @ ( setminus @ A @ X ) ) @ X ) ))). 122.51/16.08 thf('33', plain, 122.51/16.08 (( doubleComplementSub2 ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( subset @ ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) @ X6 ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(doubleComplementSub1, axiom, doubleComplementSub1 = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( subset @ X @ ( setminus @ A @ ( setminus @ A @ X ) ) ) ))). 122.51/16.08 thf('34', plain, 122.51/16.08 (( doubleComplementSub1 ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( subset @ X6 @ ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(doubleComplementE1, axiom, doubleComplementE1 = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ( in @ Xx @ ( setminus @ A @ ( setminus @ A @ X ) ) ) => 122.51/16.08 ( in @ Xx @ X ) ) ) ) ))). 122.51/16.08 thf('35', plain, 122.51/16.08 (( doubleComplementE1 ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ X4 ) => 122.51/16.08 ( ( in @ X8 @ ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) ) => 122.51/16.08 ( in @ X8 @ X6 ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(doubleComplementI1, axiom, doubleComplementI1 = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ( in @ Xx @ X ) => 122.51/16.08 ( in @ Xx @ ( setminus @ A @ ( setminus @ A @ X ) ) ) ) ) ) ))). 122.51/16.08 thf('36', plain, 122.51/16.08 (( doubleComplementI1 ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ X4 ) => 122.51/16.08 ( ( in @ X8 @ X6 ) => 122.51/16.08 ( in @ X8 @ ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(contrasubsetT3, axiom, contrasubsetT3 = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ( subset @ ( setminus @ A @ Y ) @ ( setminus @ A @ X ) ) => 122.51/16.08 ( subset @ X @ Y ) ) ) ) ))). 122.51/16.08 thf('37', plain, 122.51/16.08 (( contrasubsetT3 ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ( subset @ ( setminus @ X4 @ X8 ) @ ( setminus @ X4 @ X6 ) ) => 122.51/16.08 ( subset @ X6 @ X8 ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(contrasubsetT2, axiom, contrasubsetT2 = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ( subset @ X @ Y ) => 122.51/16.08 ( subset @ ( setminus @ A @ Y ) @ ( setminus @ A @ X ) ) ) ) ) ))). 122.51/16.08 thf('38', plain, 122.51/16.08 (( contrasubsetT2 ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ( subset @ X6 @ X8 ) => 122.51/16.08 ( subset @ ( setminus @ X4 @ X8 ) @ ( setminus @ X4 @ X6 ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(contrasubsetT, axiom, contrasubsetT = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ![Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ( subset @ X @ ( setminus @ A @ Y ) ) => 122.51/16.08 ( ( in @ Xx @ Y ) => ( ~( in @ Xx @ X ) ) ) ) ) ) ) ) ))). 122.51/16.08 thf('39', plain, 122.51/16.08 (( contrasubsetT ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X10:$i]: 122.51/16.08 ( ( in @ X10 @ X4 ) => 122.51/16.08 ( ( subset @ X6 @ ( setminus @ X4 @ X8 ) ) => 122.51/16.08 ( ( in @ X10 @ X8 ) => ( ~( in @ X10 @ X6 ) ) ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(binintersectTERcontra, axiom, binintersectTERcontra = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ![Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ( ~( in @ Xx @ Y ) ) => 122.51/16.08 ( ~( in @ Xx @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ))). 122.51/16.08 thf('40', plain, 122.51/16.08 (( binintersectTERcontra ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X10:$i]: 122.51/16.08 ( ( in @ X10 @ X4 ) => 122.51/16.08 ( ( ~( in @ X10 @ X8 ) ) => 122.51/16.08 ( ~( in @ X10 @ ( binintersect @ X6 @ X8 ) ) ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(binintersectTELcontra, axiom, binintersectTELcontra = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( ![Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ( ~( in @ Xx @ X ) ) => 122.51/16.08 ( ~( in @ Xx @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ) ))). 122.51/16.08 thf('41', plain, 122.51/16.08 (( binintersectTELcontra ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X10:$i]: 122.51/16.08 ( ( in @ X10 @ X4 ) => 122.51/16.08 ( ( ~( in @ X10 @ X6 ) ) => 122.51/16.08 ( ~( in @ X10 @ ( binintersect @ X6 @ X8 ) ) ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(complementTE1, axiom, complementTE1 = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ( ~( in @ Xx @ ( setminus @ A @ X ) ) ) => ( in @ Xx @ X ) ) ) ) ))). 122.51/16.08 thf('42', plain, 122.51/16.08 (( complementTE1 ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ X4 ) => 122.51/16.08 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => ( in @ X8 @ X6 ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(complementTI1, axiom, complementTI1 = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ( in @ Xx @ X ) => ( ~( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ))). 122.51/16.08 thf('43', plain, 122.51/16.08 (( complementTI1 ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ X4 ) => 122.51/16.08 ( ( in @ X8 @ X6 ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(complementT_lem, axiom, complementT_lem = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( in @ ( setminus @ A @ X ) @ ( powerset @ A ) ) ))). 122.51/16.08 thf('44', plain, 122.51/16.08 (( complementT_lem ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( in @ ( setminus @ X4 @ X6 ) @ ( powerset @ X4 ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(setminusT_lem, axiom, setminusT_lem = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( in @ ( setminus @ X @ Y ) @ ( powerset @ A ) ) ) ) ))). 122.51/16.08 thf('45', plain, 122.51/16.08 (( setminusT_lem ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( in @ ( setminus @ X6 @ X8 ) @ ( powerset @ X4 ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(binunionT_lem, axiom, binunionT_lem = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( in @ ( binunion @ X @ Y ) @ ( powerset @ A ) ) ) ) ))). 122.51/16.08 thf('46', plain, 122.51/16.08 (( binunionT_lem ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( in @ ( binunion @ X6 @ X8 ) @ ( powerset @ X4 ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(binintersectT_lem, axiom, binintersectT_lem = 122.51/16.08 (![A:$i,X:$i]: 122.51/16.08 ( ( in @ X @ ( powerset @ A ) ) => 122.51/16.08 ( ![Y:$i]: 122.51/16.08 ( ( in @ Y @ ( powerset @ A ) ) => 122.51/16.08 ( in @ ( binintersect @ X @ Y ) @ ( powerset @ A ) ) ) ) ))). 122.51/16.08 thf('47', plain, 122.51/16.08 (( binintersectT_lem ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( in @ X6 @ ( powerset @ X4 ) ) => 122.51/16.08 ( ![X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( powerset @ X4 ) ) => 122.51/16.08 ( in @ ( binintersect @ X6 @ X8 ) @ ( powerset @ X4 ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(ubforcartprodlem2, axiom, ubforcartprodlem2 = 122.51/16.08 (![A:$i,B:$i,Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ![Xy:$i]: 122.51/16.08 ( ( in @ Xy @ B ) => 122.51/16.08 ( in @ 122.51/16.08 ( setadjoin @ 122.51/16.08 ( setadjoin @ Xx @ emptyset ) @ 122.51/16.08 ( setadjoin @ 122.51/16.08 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) @ 122.51/16.08 ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ))). 122.51/16.08 thf('48', plain, 122.51/16.08 (( ubforcartprodlem2 ) = 122.51/16.08 ( ![X4:$i,X6:$i,X8:$i]: 122.51/16.08 ( ( in @ X8 @ X4 ) => 122.51/16.08 ( ![X10:$i]: 122.51/16.08 ( ( in @ X10 @ X6 ) => 122.51/16.08 ( in @ 122.51/16.08 ( setadjoin @ 122.51/16.08 ( setadjoin @ X8 @ emptyset ) @ 122.51/16.08 ( setadjoin @ 122.51/16.08 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 122.51/16.08 emptyset ) ) @ 122.51/16.08 ( powerset @ ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(ubforcartprodlem1, axiom, ubforcartprodlem1 = 122.51/16.08 (![A:$i,B:$i,Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ![Xy:$i]: 122.51/16.08 ( ( in @ Xy @ B ) => 122.51/16.08 ( subset @ 122.51/16.08 ( setadjoin @ 122.51/16.08 ( setadjoin @ Xx @ emptyset ) @ 122.51/16.08 ( setadjoin @ 122.51/16.08 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) @ 122.51/16.08 ( powerset @ ( binunion @ A @ B ) ) ) ) ) ))). 122.51/16.08 thf('49', plain, 122.51/16.08 (( ubforcartprodlem1 ) = 122.51/16.08 ( ![X4:$i,X6:$i,X8:$i]: 122.51/16.08 ( ( in @ X8 @ X4 ) => 122.51/16.08 ( ![X10:$i]: 122.51/16.08 ( ( in @ X10 @ X6 ) => 122.51/16.08 ( subset @ 122.51/16.08 ( setadjoin @ 122.51/16.08 ( setadjoin @ X8 @ emptyset ) @ 122.51/16.08 ( setadjoin @ 122.51/16.08 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 122.51/16.08 emptyset ) ) @ 122.51/16.08 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(upairinpowunion, axiom, upairinpowunion = 122.51/16.08 (![A:$i,B:$i,Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ![Xy:$i]: 122.51/16.08 ( ( in @ Xy @ B ) => 122.51/16.08 ( in @ 122.51/16.08 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ 122.51/16.08 ( powerset @ ( binunion @ A @ B ) ) ) ) ) ))). 122.51/16.08 thf('50', plain, 122.51/16.08 (( upairinpowunion ) = 122.51/16.08 ( ![X4:$i,X6:$i,X8:$i]: 122.51/16.08 ( ( in @ X8 @ X4 ) => 122.51/16.08 ( ![X10:$i]: 122.51/16.08 ( ( in @ X10 @ X6 ) => 122.51/16.08 ( in @ 122.51/16.08 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 122.51/16.08 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(upairsubunion, axiom, upairsubunion = 122.51/16.08 (![A:$i,B:$i,Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ![Xy:$i]: 122.51/16.08 ( ( in @ Xy @ B ) => 122.51/16.08 ( subset @ 122.51/16.08 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ 122.51/16.08 ( binunion @ A @ B ) ) ) ) ))). 122.51/16.08 thf('51', plain, 122.51/16.08 (( upairsubunion ) = 122.51/16.08 ( ![X4:$i,X6:$i,X8:$i]: 122.51/16.08 ( ( in @ X8 @ X4 ) => 122.51/16.08 ( ![X10:$i]: 122.51/16.08 ( ( in @ X10 @ X6 ) => 122.51/16.08 ( subset @ 122.51/16.08 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 122.51/16.08 ( binunion @ X4 @ X6 ) ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(singletoninpowunion, axiom, singletoninpowunion = 122.51/16.08 (![A:$i,B:$i,Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( in @ 122.51/16.08 ( setadjoin @ Xx @ emptyset ) @ ( powerset @ ( binunion @ A @ B ) ) ) ))). 122.51/16.08 thf('52', plain, 122.51/16.08 (( singletoninpowunion ) = 122.51/16.08 ( ![X4:$i,X6:$i,X8:$i]: 122.51/16.08 ( ( in @ X8 @ X4 ) => 122.51/16.08 ( in @ 122.51/16.08 ( setadjoin @ X8 @ emptyset ) @ 122.51/16.08 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(setminusSubset1, axiom, setminusSubset1 = 122.51/16.08 (![A:$i,B:$i]: 122.51/16.08 ( ( ( setminus @ A @ B ) = ( emptyset ) ) => ( subset @ A @ B ) ))). 122.51/16.08 thf('53', plain, 122.51/16.08 (( setminusSubset1 ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( ( setminus @ X4 @ X6 ) = ( emptyset ) ) => ( subset @ X4 @ X6 ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(setminusLsub, axiom, setminusLsub = 122.51/16.08 (![A:$i,B:$i]: ( subset @ ( setminus @ A @ B ) @ A ))). 122.51/16.08 thf('54', plain, 122.51/16.08 (( setminusLsub ) = 122.51/16.08 ( ![X4:$i,X6:$i]: ( subset @ ( setminus @ X4 @ X6 ) @ X4 ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(setminusIRneg, axiom, setminusIRneg = 122.51/16.08 (![A:$i,B:$i,Xx:$i]: 122.51/16.08 ( ( in @ Xx @ B ) => ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 122.51/16.08 thf('55', plain, 122.51/16.08 (( setminusIRneg ) = 122.51/16.08 ( ![X4:$i,X6:$i,X8:$i]: 122.51/16.08 ( ( in @ X8 @ X6 ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(setminusILneg, axiom, setminusILneg = 122.51/16.08 (![A:$i,B:$i,Xx:$i]: 122.51/16.08 ( ( ~( in @ Xx @ A ) ) => ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 122.51/16.08 thf('56', plain, 122.51/16.08 (( setminusILneg ) = 122.51/16.08 ( ![X4:$i,X6:$i,X8:$i]: 122.51/16.08 ( ( ~( in @ X8 @ X4 ) ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(setminusELneg, axiom, setminusELneg = 122.51/16.08 (![A:$i,B:$i,Xx:$i]: 122.51/16.08 ( ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) => 122.51/16.08 ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))). 122.51/16.08 thf('57', plain, 122.51/16.08 (( setminusELneg ) = 122.51/16.08 ( ![X4:$i,X6:$i,X8:$i]: 122.51/16.08 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => 122.51/16.08 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(setminusERneg, axiom, setminusERneg = 122.51/16.08 (![A:$i,B:$i,Xx:$i]: 122.51/16.08 ( ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) => 122.51/16.08 ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))). 122.51/16.08 thf('58', plain, 122.51/16.08 (( setminusERneg ) = 122.51/16.08 ( ![X4:$i,X6:$i,X8:$i]: 122.51/16.08 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => 122.51/16.08 ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(setminusSubset2, axiom, setminusSubset2 = 122.51/16.08 (![A:$i,B:$i]: 122.51/16.08 ( ( subset @ A @ B ) => ( ( setminus @ A @ B ) = ( emptyset ) ) ))). 122.51/16.08 thf('59', plain, 122.51/16.08 (( setminusSubset2 ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( subset @ X4 @ X6 ) => ( ( setminus @ X4 @ X6 ) = ( emptyset ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(setminusER, axiom, setminusER = 122.51/16.08 (![A:$i,B:$i,Xx:$i]: 122.51/16.08 ( ( in @ Xx @ ( setminus @ A @ B ) ) => ( ~( in @ Xx @ B ) ) ))). 122.51/16.08 thf('60', plain, 122.51/16.08 (( setminusER ) = 122.51/16.08 ( ![X4:$i,X6:$i,X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( setminus @ X4 @ X6 ) ) => ( ~( in @ X8 @ X6 ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(setminusEL, axiom, setminusEL = 122.51/16.08 (![A:$i,B:$i,Xx:$i]: 122.51/16.08 ( ( in @ Xx @ ( setminus @ A @ B ) ) => ( in @ Xx @ A ) ))). 122.51/16.08 thf('61', plain, 122.51/16.08 (( setminusEL ) = 122.51/16.08 ( ![X4:$i,X6:$i,X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( setminus @ X4 @ X6 ) ) => ( in @ X8 @ X4 ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(setminusI, axiom, setminusI = 122.51/16.08 (![A:$i,B:$i,Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ( ~( in @ Xx @ B ) ) => ( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 122.51/16.08 thf('62', plain, 122.51/16.08 (( setminusI ) = 122.51/16.08 ( ![X4:$i,X6:$i,X8:$i]: 122.51/16.08 ( ( in @ X8 @ X4 ) => 122.51/16.08 ( ( ~( in @ X8 @ X6 ) ) => ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(bs114d, axiom, bs114d = 122.51/16.08 (![A:$i,B:$i,C:$i]: 122.51/16.08 ( ( binintersect @ A @ ( binunion @ B @ C ) ) = 122.51/16.08 ( binunion @ ( binintersect @ A @ B ) @ ( binintersect @ A @ C ) ) ))). 122.51/16.08 thf('63', plain, 122.51/16.08 (( bs114d ) = 122.51/16.08 ( ![X4:$i,X6:$i,X8:$i]: 122.51/16.08 ( ( binintersect @ X4 @ ( binunion @ X6 @ X8 ) ) = 122.51/16.08 ( binunion @ ( binintersect @ X4 @ X6 ) @ ( binintersect @ X4 @ X8 ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(binintersectSubset1, axiom, binintersectSubset1 = 122.51/16.08 (![A:$i,B:$i]: 122.51/16.08 ( ( ( binintersect @ A @ B ) = ( A ) ) => ( subset @ A @ B ) ))). 122.51/16.08 thf('64', plain, 122.51/16.08 (( binintersectSubset1 ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( ( binintersect @ X4 @ X6 ) = ( X4 ) ) => ( subset @ X4 @ X6 ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(binintersectSubset4, axiom, binintersectSubset4 = 122.51/16.08 (![A:$i,B:$i]: 122.51/16.08 ( ( subset @ B @ A ) => ( ( binintersect @ A @ B ) = ( B ) ) ))). 122.51/16.08 thf('65', plain, 122.51/16.08 (( binintersectSubset4 ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( subset @ X6 @ X4 ) => ( ( binintersect @ X4 @ X6 ) = ( X6 ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(binintersectRsub, axiom, binintersectRsub = 122.51/16.08 (![A:$i,B:$i]: ( subset @ ( binintersect @ A @ B ) @ B ))). 122.51/16.08 thf('66', plain, 122.51/16.08 (( binintersectRsub ) = 122.51/16.08 ( ![X4:$i,X6:$i]: ( subset @ ( binintersect @ X4 @ X6 ) @ X6 ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(disjointsetsI1, axiom, disjointsetsI1 = 122.51/16.08 (![A:$i,B:$i]: 122.51/16.08 ( ( ~( ?[Xx:$i]: ( ( in @ Xx @ B ) & ( in @ Xx @ A ) ) ) ) => 122.51/16.08 ( ( binintersect @ A @ B ) = ( emptyset ) ) ))). 122.51/16.08 thf('67', plain, 122.51/16.08 (( disjointsetsI1 ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( ~( ?[X8:$i]: ( ( in @ X8 @ X6 ) & ( in @ X8 @ X4 ) ) ) ) => 122.51/16.08 ( ( binintersect @ X4 @ X6 ) = ( emptyset ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(binintersectER, axiom, binintersectER = 122.51/16.08 (![A:$i,B:$i,Xx:$i]: 122.51/16.08 ( ( in @ Xx @ ( binintersect @ A @ B ) ) => ( in @ Xx @ B ) ))). 122.51/16.08 thf('68', plain, 122.51/16.08 (( binintersectER ) = 122.51/16.08 ( ![X4:$i,X6:$i,X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) => ( in @ X8 @ X6 ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(binintersectSubset3, axiom, binintersectSubset3 = 122.51/16.08 (![A:$i,B:$i]: 122.51/16.08 ( ( ( binintersect @ A @ B ) = ( B ) ) => ( subset @ B @ A ) ))). 122.51/16.08 thf('69', plain, 122.51/16.08 (( binintersectSubset3 ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( ( binintersect @ X4 @ X6 ) = ( X6 ) ) => ( subset @ X6 @ X4 ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(binintersectSubset2, axiom, binintersectSubset2 = 122.51/16.08 (![A:$i,B:$i]: 122.51/16.08 ( ( subset @ A @ B ) => ( ( binintersect @ A @ B ) = ( A ) ) ))). 122.51/16.08 thf('70', plain, 122.51/16.08 (( binintersectSubset2 ) = 122.51/16.08 ( ![X4:$i,X6:$i]: 122.51/16.08 ( ( subset @ X4 @ X6 ) => ( ( binintersect @ X4 @ X6 ) = ( X4 ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(binintersectLsub, axiom, binintersectLsub = 122.51/16.08 (![A:$i,B:$i]: ( subset @ ( binintersect @ A @ B ) @ A ))). 122.51/16.08 thf('71', plain, 122.51/16.08 (( binintersectLsub ) = 122.51/16.08 ( ![X4:$i,X6:$i]: ( subset @ ( binintersect @ X4 @ X6 ) @ X4 ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(binintersectEL, axiom, binintersectEL = 122.51/16.08 (![A:$i,B:$i,Xx:$i]: 122.51/16.08 ( ( in @ Xx @ ( binintersect @ A @ B ) ) => ( in @ Xx @ A ) ))). 122.51/16.08 thf('72', plain, 122.51/16.08 (( binintersectEL ) = 122.51/16.08 ( ![X4:$i,X6:$i,X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) => ( in @ X8 @ X4 ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(binintersectSubset5, axiom, binintersectSubset5 = 122.51/16.08 (![A:$i,B:$i,C:$i]: 122.51/16.08 ( ( subset @ C @ A ) => 122.51/16.08 ( ( subset @ C @ B ) => ( subset @ C @ ( binintersect @ A @ B ) ) ) ))). 122.51/16.08 thf('73', plain, 122.51/16.08 (( binintersectSubset5 ) = 122.51/16.08 ( ![X4:$i,X6:$i,X8:$i]: 122.51/16.08 ( ( subset @ X8 @ X4 ) => 122.51/16.08 ( ( subset @ X8 @ X6 ) => 122.51/16.08 ( subset @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(binintersectI, axiom, binintersectI = 122.51/16.08 (![A:$i,B:$i,Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => 122.51/16.08 ( ( in @ Xx @ B ) => ( in @ Xx @ ( binintersect @ A @ B ) ) ) ))). 122.51/16.08 thf('74', plain, 122.51/16.08 (( binintersectI ) = 122.51/16.08 ( ![X4:$i,X6:$i,X8:$i]: 122.51/16.08 ( ( in @ X8 @ X4 ) => 122.51/16.08 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(binunionRsub, axiom, binunionRsub = 122.51/16.08 (![A:$i,B:$i]: ( subset @ B @ ( binunion @ A @ B ) ))). 122.51/16.08 thf('75', plain, 122.51/16.08 (( binunionRsub ) = 122.51/16.08 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( binunion @ X4 @ X6 ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(binunionLsub, axiom, binunionLsub = 122.51/16.08 (![A:$i,B:$i]: ( subset @ A @ ( binunion @ A @ B ) ))). 122.51/16.08 thf('76', plain, 122.51/16.08 (( binunionLsub ) = 122.51/16.08 ( ![X4:$i,X6:$i]: ( subset @ X4 @ ( binunion @ X4 @ X6 ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(binunionE, axiom, binunionE = 122.51/16.08 (![A:$i,B:$i,Xx:$i]: 122.51/16.08 ( ( in @ Xx @ ( binunion @ A @ B ) ) => 122.51/16.08 ( ( in @ Xx @ A ) | ( in @ Xx @ B ) ) ))). 122.51/16.08 thf('77', plain, 122.51/16.08 (( binunionE ) = 122.51/16.08 ( ![X4:$i,X6:$i,X8:$i]: 122.51/16.08 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) => 122.51/16.08 ( ( in @ X8 @ X4 ) | ( in @ X8 @ X6 ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(binunionEcases, axiom, binunionEcases = 122.51/16.08 (![A:$i,B:$i,Xx:$i,Xphi:$o]: 122.51/16.08 ( ( in @ Xx @ ( binunion @ A @ B ) ) => 122.51/16.08 ( ( ( in @ Xx @ A ) => ( Xphi ) ) => 122.51/16.08 ( ( ( in @ Xx @ B ) => ( Xphi ) ) => ( Xphi ) ) ) ))). 122.51/16.08 thf('78', plain, 122.51/16.08 (( binunionEcases ) = 122.51/16.08 ( ![X4:$i,X6:$i,X8:$i,X10:$o]: 122.51/16.08 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) => 122.51/16.08 ( ( ( in @ X8 @ X4 ) => ( X10 ) ) => 122.51/16.08 ( ( ( in @ X8 @ X6 ) => ( X10 ) ) => ( X10 ) ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(binunionIR, axiom, binunionIR = 122.51/16.08 (![A:$i,B:$i,Xx:$i]: 122.51/16.08 ( ( in @ Xx @ B ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))). 122.51/16.08 thf('79', plain, 122.51/16.08 (( binunionIR ) = 122.51/16.08 ( ![X4:$i,X6:$i,X8:$i]: 122.51/16.08 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(binunionIL, axiom, binunionIL = 122.51/16.08 (![A:$i,B:$i,Xx:$i]: 122.51/16.08 ( ( in @ Xx @ A ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))). 122.51/16.08 thf('80', plain, 122.51/16.08 (( binunionIL ) = 122.51/16.08 ( ![X4:$i,X6:$i,X8:$i]: 122.51/16.08 ( ( in @ X8 @ X4 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )), 122.51/16.08 define([status(thm)])). 122.51/16.08 thf(woz1_2, conjecture, 122.51/16.08 (( setextAx ) => 122.51/16.08 ( ( emptysetAx ) => 122.51/16.08 ( ( setadjoinAx ) => 122.51/16.08 ( ( powersetAx ) => 122.51/16.08 ( ( setunionAx ) => 122.51/16.08 ( ( omega0Ax ) => 122.51/16.08 ( ( omegaSAx ) => 122.51/16.08 ( ( omegaIndAx ) => 122.51/16.08 ( ( replAx ) => 122.51/16.08 ( ( foundationAx ) => 122.51/16.08 ( ( wellorderingAx ) => 122.51/16.08 ( ( descrp ) => 122.51/16.08 ( ( dsetconstrI ) => 122.51/16.08 ( ( dsetconstrEL ) => 122.51/16.08 ( ( dsetconstrER ) => 122.51/16.08 ( ( exuE1 ) => 122.51/16.08 ( ( prop2setE ) => 122.51/16.08 ( ( emptysetE ) => 122.51/16.08 ( ( emptysetimpfalse ) => 122.51/16.08 ( ( notinemptyset ) => 122.51/16.08 ( ( exuE3e ) => 122.51/16.08 ( ( setext ) => 122.51/16.08 ( ( emptyI ) => 122.51/16.08 ( ( noeltsimpempty ) => 122.51/16.08 ( ( setbeta ) => 122.51/16.08 ( ( nonemptyE1 ) => 122.51/16.08 ( ( nonemptyI ) => 122.51/16.08 ( ( nonemptyI1 ) => 122.51/16.08 ( ( setadjoinIL ) => 122.51/16.08 ( ( emptyinunitempty ) => 122.51/16.08 ( ( setadjoinIR ) => 122.51/16.08 ( ( setadjoinE ) => 122.51/16.08 ( ( 122.51/16.08 setadjoinOr ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setoftrueEq ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 powersetI ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 emptyinPowerset ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 emptyInPowerset ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 powersetE ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setunionI ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setunionE ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 subPowSU ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 exuE2 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 nonemptyImpWitness ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 uniqinunit ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 notinsingleton ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 eqinunit ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 singletonsswitch ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 upairsetE ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 upairsetIL ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 upairsetIR ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 emptyE1 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 vacuousDall ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 quantDeMorgan1 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 quantDeMorgan2 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 quantDeMorgan3 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 quantDeMorgan4 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 prop2setI ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 prop2set2propI ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 notdexE ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 notdallE ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 exuI1 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 exuI3 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 exuI2 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 inCongP ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 in__Cong ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 exuE3u ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 exu__Cong ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 emptyset__Cong ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setadjoin__Cong ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 powerset__Cong ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setunion__Cong ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 omega__Cong ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 exuEu ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 descr__Cong ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 dsetconstr__Cong ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 subsetI1 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 eqimpsubset2 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 eqimpsubset1 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 subsetI2 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 emptysetsubset ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 subsetE ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 subsetE2 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 notsubsetI ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 notequalI1 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 notequalI2 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 subsetRefl ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 subsetTrans ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setadjoinSub ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setadjoinSub2 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 subset2powerset ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setextsub ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 subsetemptysetimpeq ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 powersetI1 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 powersetE1 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 inPowerset ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 powersetsubset ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 sepInPowerset ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 sepSubset ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 binunionIL ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 upairset2IR ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 binunionIR ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 binunionEcases ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 binunionE ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 binunionLsub ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 binunionRsub ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 binintersectI ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 binintersectSubset5 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 binintersectEL ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 binintersectLsub ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 binintersectSubset2 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 binintersectSubset3 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 binintersectER ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 disjointsetsI1 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 binintersectRsub ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 binintersectSubset4 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 binintersectSubset1 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 bs114d ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setminusI ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setminusEL ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setminusER ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setminusSubset2 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setminusERneg ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setminusELneg ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setminusILneg ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setminusIRneg ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setminusLsub ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setminusSubset1 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 symdiffE ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 symdiffI1 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 symdiffI2 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 symdiffIneg1 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 symdiffIneg2 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 secondinupair ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setukpairIL ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setukpairIR ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 kpairiskpair ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 kpairp ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 singletonsubset ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 singletoninpowerset ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 singletoninpowunion ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 upairset2E ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 upairsubunion ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 upairinpowunion ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 ubforcartprodlem1 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 ubforcartprodlem2 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 ubforcartprodlem3 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 cartprodpairin ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 cartprodmempair1 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 cartprodmempair ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setunionE2 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setunionsingleton1 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setunionsingleton2 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setunionsingleton ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 singletonprop ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 ex1E1 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 ex1I ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 ex1I2 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 singletonsuniq ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setukpairinjL1 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 kfstsingleton ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 theprop ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 kfstpairEq ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 cartprodfstin ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setukpairinjL2 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setukpairinjL ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setukpairinjR11 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setukpairinjR12 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setukpairinjR1 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 upairequniteq ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setukpairinjR2 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setukpairinjR ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 ksndsingleton ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 ksndpairEq ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 kpairsurjEq ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 cartprodsndin ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 cartprodpairmemEL ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 cartprodpairmemER ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 cartprodmempaircEq ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 cartprodfstpairEq ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 cartprodsndpairEq ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 cartprodpairsurjEq ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 dpsetconstrI ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 dpsetconstrSub ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 setOfPairsIsBReln ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 dpsetconstrERa ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 dpsetconstrEL1 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 dpsetconstrEL2 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 dpsetconstrER ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 funcImageSingleton ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 apProp ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 app ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 infuncsetfunc ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 ap2p ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 funcinfuncset ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 lamProp ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 lamp ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 lam2p ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 brelnall1 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 brelnall2 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 ex1E2 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 funcGraphProp1 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 funcGraphProp3 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 funcGraphProp2 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 funcextLem ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 funcGraphProp4 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 subbreln ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 eqbreln ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 funcext ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 funcext2 ) => 122.51/16.08 ( 122.51/16.08 ( 122.51/16.08 ap2apEq1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ap2apEq2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 beta1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 eta1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 lam2lamEq ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 beta2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 eta2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 iffalseProp1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 iffalseProp2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 iftrueProp1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 iftrueProp2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ifSingleton ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ifp ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 theeq ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 iftrue ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 iffalse ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 iftrueorfalse ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 binintersectT_lem ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 binunionT_lem ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 powersetT_lem ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setminusT_lem ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 complementT_lem ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setextT ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subsetTI ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 powersetTI1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 powersetTE1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 complementTI1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 complementTE1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 binintersectTELcontra ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 binintersectTERcontra ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 contrasubsetT ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 contrasubsetT1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 contrasubsetT2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 contrasubsetT3 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 doubleComplementI1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 doubleComplementE1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 doubleComplementSub1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 doubleComplementSub2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 doubleComplementEq ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 complementTnotintersectT ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 complementImpComplementIntersect ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 complementSubsetComplementIntersect ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 complementInPowersetComplementIntersect ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 contraSubsetComplement ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 complementTcontraSubset ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 binunionTILcontra ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 binunionTIRcontra ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 inIntersectImpInUnion ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 inIntersectImpInUnion2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 inIntersectImpInIntersectUnions ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 intersectInPowersetIntersectUnions ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 inComplementUnionImpNotIn1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 inComplementUnionImpInComplement1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 binunionTE ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 binunionTEcontra ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 demorgan2a1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 complementUnionInPowersetComplement ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 demorgan2a2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 demorgan1a ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 demorgan1b ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 demorgan1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 demorgan2a ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 demorgan2b2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 demorgan2b ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 demorgan2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 woz13rule0 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 woz13rule1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 woz13rule2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 woz13rule3 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 woz13rule4 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 woz1_1 ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 A:$i,X:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 A ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 Y:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 Y @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 A ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 Z:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 Z @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 A ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 W:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 W @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 A ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 A @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X @ Y ) @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 Z @ W ) ) ) = 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 A @ X ) @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 A @ Y ) ) @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 A @ Z ) @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 A @ W ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 122.51/16.09 thf(zf_stmt_0, conjecture, 122.51/16.09 (( setextAx ) => 122.51/16.09 ( ( emptysetAx ) => 122.51/16.09 ( ( setadjoinAx ) => 122.51/16.09 ( ( powersetAx ) => 122.51/16.09 ( ( setunionAx ) => 122.51/16.09 ( ( omega0Ax ) => 122.51/16.09 ( ( omegaSAx ) => 122.51/16.09 ( ( omegaIndAx ) => 122.51/16.09 ( ( replAx ) => 122.51/16.09 ( ( foundationAx ) => 122.51/16.09 ( ( wellorderingAx ) => 122.51/16.09 ( ( descrp ) => 122.51/16.09 ( ( dsetconstrI ) => 122.51/16.09 ( ( dsetconstrEL ) => 122.51/16.09 ( ( dsetconstrER ) => 122.51/16.09 ( ( exuE1 ) => 122.51/16.09 ( ( prop2setE ) => 122.51/16.09 ( ( emptysetE ) => 122.51/16.09 ( ( emptysetimpfalse ) => 122.51/16.09 ( ( notinemptyset ) => 122.51/16.09 ( ( exuE3e ) => 122.51/16.09 ( ( setext ) => 122.51/16.09 ( ( emptyI ) => 122.51/16.09 ( ( noeltsimpempty ) => 122.51/16.09 ( ( setbeta ) => 122.51/16.09 ( ( nonemptyE1 ) => 122.51/16.09 ( ( nonemptyI ) => 122.51/16.09 ( ( nonemptyI1 ) => 122.51/16.09 ( ( setadjoinIL ) => 122.51/16.09 ( ( emptyinunitempty ) => 122.51/16.09 ( ( setadjoinIR ) => 122.51/16.09 ( ( setadjoinE ) => 122.51/16.09 ( ( 122.51/16.09 setadjoinOr ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setoftrueEq ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 powersetI ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 emptyinPowerset ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 emptyInPowerset ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 powersetE ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setunionI ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setunionE ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subPowSU ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 exuE2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 nonemptyImpWitness ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 uniqinunit ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 notinsingleton ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 eqinunit ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 singletonsswitch ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 upairsetE ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 upairsetIL ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 upairsetIR ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 emptyE1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 vacuousDall ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 quantDeMorgan1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 quantDeMorgan2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 quantDeMorgan3 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 quantDeMorgan4 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 prop2setI ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 prop2set2propI ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 notdexE ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 notdallE ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 exuI1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 exuI3 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 exuI2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 inCongP ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in__Cong ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 exuE3u ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 exu__Cong ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 emptyset__Cong ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setadjoin__Cong ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 powerset__Cong ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setunion__Cong ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 omega__Cong ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 exuEu ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 descr__Cong ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 dsetconstr__Cong ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subsetI1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 eqimpsubset2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 eqimpsubset1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subsetI2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 emptysetsubset ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subsetE ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subsetE2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 notsubsetI ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 notequalI1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 notequalI2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subsetRefl ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subsetTrans ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setadjoinSub ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setadjoinSub2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subset2powerset ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setextsub ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subsetemptysetimpeq ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 powersetI1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 powersetE1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 inPowerset ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 powersetsubset ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 sepInPowerset ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 sepSubset ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X4:$i, 122.51/16.09 X6:$i, 122.51/16.09 X8:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X8 @ X4 ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X8 @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X4 @ X6 ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 upairset2IR ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X10:$i, 122.51/16.09 X12:$i, 122.51/16.09 X14:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X14 @ X12 ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X14 @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X10 @ X12 ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X16:$i, 122.51/16.09 X18:$i, 122.51/16.09 X20:$i, 122.51/16.09 X22:$o]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X20 @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X16 @ X18 ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X20 @ X16 ) => 122.51/16.09 ( 122.51/16.09 X22 ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X20 @ X18 ) => 122.51/16.09 ( 122.51/16.09 X22 ) ) => 122.51/16.09 ( 122.51/16.09 X22 ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X24:$i, 122.51/16.09 X26:$i, 122.51/16.09 X28:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X28 @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X24 @ X26 ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X28 @ X24 ) | 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X28 @ X26 ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X30:$i, 122.51/16.09 X32:$i]: 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X30 @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X30 @ X32 ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X34:$i, 122.51/16.09 X36:$i]: 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X36 @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X34 @ X36 ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X38:$i, 122.51/16.09 X40:$i, 122.51/16.09 X42:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X42 @ X38 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X42 @ X40 ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X42 @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X38 @ X40 ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X44:$i, 122.51/16.09 X46:$i, 122.51/16.09 X48:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X48 @ X44 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X48 @ X46 ) => 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X48 @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X44 @ X46 ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X50:$i, 122.51/16.09 X52:$i, 122.51/16.09 X54:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X54 @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X50 @ X52 ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X54 @ X50 ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X56:$i, 122.51/16.09 X58:$i]: 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X56 @ X58 ) @ 122.51/16.09 X56 ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X60:$i, 122.51/16.09 X62:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X60 @ X62 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X60 @ X62 ) = 122.51/16.09 ( 122.51/16.09 X60 ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X64:$i, 122.51/16.09 X66:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X64 @ X66 ) = 122.51/16.09 ( 122.51/16.09 X66 ) ) => 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X66 @ X64 ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X68:$i, 122.51/16.09 X70:$i, 122.51/16.09 X72:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X72 @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X68 @ X70 ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X72 @ X70 ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X74:$i, 122.51/16.09 X76:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ~( 122.51/16.09 ?[ 122.51/16.09 X78:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X78 @ X76 ) & 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X78 @ X74 ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X74 @ X76 ) = 122.51/16.09 ( 122.51/16.09 emptyset ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X80:$i, 122.51/16.09 X82:$i]: 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X80 @ X82 ) @ 122.51/16.09 X82 ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X84:$i, 122.51/16.09 X86:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X86 @ X84 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X84 @ X86 ) = 122.51/16.09 ( 122.51/16.09 X86 ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X88:$i, 122.51/16.09 X90:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X88 @ X90 ) = 122.51/16.09 ( 122.51/16.09 X88 ) ) => 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X88 @ X90 ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X92:$i, 122.51/16.09 X94:$i, 122.51/16.09 X96:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X92 @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X94 @ X96 ) ) = 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X92 @ X94 ) @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X92 @ X96 ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X98:$i, 122.51/16.09 X100:$i, 122.51/16.09 X102:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X102 @ X98 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ~( 122.51/16.09 in @ 122.51/16.09 X102 @ 122.51/16.09 X100 ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X102 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X98 @ X100 ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X104:$i, 122.51/16.09 X106:$i, 122.51/16.09 X108:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X108 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X104 @ 122.51/16.09 X106 ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X108 @ 122.51/16.09 X104 ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X110:$i, 122.51/16.09 X112:$i, 122.51/16.09 X114:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X114 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X110 @ 122.51/16.09 X112 ) ) => 122.51/16.09 ( 122.51/16.09 ~( 122.51/16.09 in @ 122.51/16.09 X114 @ 122.51/16.09 X112 ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X116:$i, 122.51/16.09 X118:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X116 @ 122.51/16.09 X118 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X116 @ 122.51/16.09 X118 ) = 122.51/16.09 ( 122.51/16.09 emptyset ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X120:$i, 122.51/16.09 X122:$i, 122.51/16.09 X124:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ~( 122.51/16.09 in @ 122.51/16.09 X124 @ 122.51/16.09 ( 122.51/16.09 setminus 122.51/16.09 @ 122.51/16.09 X120 @ 122.51/16.09 X122 ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X124 @ 122.51/16.09 X120 ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X124 @ 122.51/16.09 X122 ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X126:$i, 122.51/16.09 X128:$i, 122.51/16.09 X130:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ~( 122.51/16.09 in @ 122.51/16.09 X130 @ 122.51/16.09 ( 122.51/16.09 setminus 122.51/16.09 @ 122.51/16.09 X126 @ 122.51/16.09 X128 ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ~( 122.51/16.09 in @ 122.51/16.09 X130 @ 122.51/16.09 X128 ) ) => 122.51/16.09 ( 122.51/16.09 ~( 122.51/16.09 in @ 122.51/16.09 X130 @ 122.51/16.09 X126 ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X132:$i, 122.51/16.09 X134:$i, 122.51/16.09 X136:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ~( 122.51/16.09 in @ 122.51/16.09 X136 @ 122.51/16.09 X132 ) ) => 122.51/16.09 ( 122.51/16.09 ~( 122.51/16.09 in @ 122.51/16.09 X136 @ 122.51/16.09 ( 122.51/16.09 setminus 122.51/16.09 @ 122.51/16.09 X132 @ 122.51/16.09 X134 ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X138:$i, 122.51/16.09 X140:$i, 122.51/16.09 X142:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X142 @ 122.51/16.09 X140 ) => 122.51/16.09 ( 122.51/16.09 ~( 122.51/16.09 in @ 122.51/16.09 X142 @ 122.51/16.09 ( 122.51/16.09 setminus 122.51/16.09 @ 122.51/16.09 X138 @ 122.51/16.09 X140 ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X144:$i, 122.51/16.09 X146:$i]: 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X144 @ 122.51/16.09 X146 ) @ 122.51/16.09 X144 ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X148:$i, 122.51/16.09 X150:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X148 @ 122.51/16.09 X150 ) = 122.51/16.09 ( 122.51/16.09 emptyset ) ) => 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X148 @ 122.51/16.09 X150 ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 symdiffE ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 symdiffI1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 symdiffI2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 symdiffIneg1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 symdiffIneg2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 secondinupair ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setukpairIL ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setukpairIR ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 kpairiskpair ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 kpairp ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 singletonsubset ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 singletoninpowerset ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X152:$i, 122.51/16.09 X154:$i, 122.51/16.09 X156:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X156 @ 122.51/16.09 X152 ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 ( 122.51/16.09 setadjoin 122.51/16.09 @ 122.51/16.09 X156 @ 122.51/16.09 emptyset ) @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X152 @ 122.51/16.09 X154 ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 upairset2E ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X158:$i, 122.51/16.09 X160:$i, 122.51/16.09 X162:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X162 @ 122.51/16.09 X158 ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X164:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X164 @ 122.51/16.09 X160 ) => 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 ( 122.51/16.09 setadjoin 122.51/16.09 @ 122.51/16.09 X162 @ 122.51/16.09 ( 122.51/16.09 setadjoin 122.51/16.09 @ 122.51/16.09 X164 @ 122.51/16.09 emptyset ) ) @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X158 @ 122.51/16.09 X160 ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X166:$i, 122.51/16.09 X168:$i, 122.51/16.09 X170:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X170 @ 122.51/16.09 X166 ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X172:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X172 @ 122.51/16.09 X168 ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 ( 122.51/16.09 setadjoin 122.51/16.09 @ 122.51/16.09 X170 @ 122.51/16.09 ( 122.51/16.09 setadjoin 122.51/16.09 @ 122.51/16.09 X172 @ 122.51/16.09 emptyset ) ) @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X166 @ 122.51/16.09 X168 ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X174:$i, 122.51/16.09 X176:$i, 122.51/16.09 X178:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X178 @ 122.51/16.09 X174 ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X180:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X180 @ 122.51/16.09 X176 ) => 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 ( 122.51/16.09 setadjoin 122.51/16.09 @ 122.51/16.09 ( 122.51/16.09 setadjoin 122.51/16.09 @ 122.51/16.09 X178 @ 122.51/16.09 emptyset ) @ 122.51/16.09 ( 122.51/16.09 setadjoin 122.51/16.09 @ 122.51/16.09 ( 122.51/16.09 setadjoin 122.51/16.09 @ 122.51/16.09 X178 @ 122.51/16.09 ( 122.51/16.09 setadjoin 122.51/16.09 @ 122.51/16.09 X180 @ 122.51/16.09 emptyset ) ) @ 122.51/16.09 emptyset ) ) @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X174 @ 122.51/16.09 X176 ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X182:$i, 122.51/16.09 X184:$i, 122.51/16.09 X186:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X186 @ 122.51/16.09 X182 ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X188:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X188 @ 122.51/16.09 X184 ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 ( 122.51/16.09 setadjoin 122.51/16.09 @ 122.51/16.09 ( 122.51/16.09 setadjoin 122.51/16.09 @ 122.51/16.09 X186 @ 122.51/16.09 emptyset ) @ 122.51/16.09 ( 122.51/16.09 setadjoin 122.51/16.09 @ 122.51/16.09 ( 122.51/16.09 setadjoin 122.51/16.09 @ 122.51/16.09 X186 @ 122.51/16.09 ( 122.51/16.09 setadjoin 122.51/16.09 @ 122.51/16.09 X188 @ 122.51/16.09 emptyset ) ) @ 122.51/16.09 emptyset ) ) @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X182 @ 122.51/16.09 X184 ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ubforcartprodlem3 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 cartprodpairin ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 cartprodmempair1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 cartprodmempair ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setunionE2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setunionsingleton1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setunionsingleton2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setunionsingleton ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 singletonprop ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ex1E1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ex1I ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ex1I2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 singletonsuniq ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setukpairinjL1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 kfstsingleton ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 theprop ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 kfstpairEq ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 cartprodfstin ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setukpairinjL2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setukpairinjL ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setukpairinjR11 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setukpairinjR12 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setukpairinjR1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 upairequniteq ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setukpairinjR2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setukpairinjR ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ksndsingleton ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ksndpairEq ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 kpairsurjEq ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 cartprodsndin ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 cartprodpairmemEL ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 cartprodpairmemER ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 cartprodmempaircEq ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 cartprodfstpairEq ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 cartprodsndpairEq ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 cartprodpairsurjEq ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 dpsetconstrI ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 dpsetconstrSub ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setOfPairsIsBReln ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 dpsetconstrERa ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 dpsetconstrEL1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 dpsetconstrEL2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 dpsetconstrER ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 funcImageSingleton ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 apProp ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 app ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 infuncsetfunc ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ap2p ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 funcinfuncset ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 lamProp ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 lamp ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 lam2p ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 brelnall1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 brelnall2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ex1E2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 funcGraphProp1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 funcGraphProp3 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 funcGraphProp2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 funcextLem ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 funcGraphProp4 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subbreln ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 eqbreln ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 funcext ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 funcext2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ap2apEq1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ap2apEq2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 beta1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 eta1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 lam2lamEq ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 beta2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 eta2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 iffalseProp1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 iffalseProp2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 iftrueProp1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 iftrueProp2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ifSingleton ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ifp ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 theeq ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 iftrue ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 iffalse ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 iftrueorfalse ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X190:$i, 122.51/16.09 X192:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X192 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X190 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X194:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X194 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X190 ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X192 @ 122.51/16.09 X194 ) @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X190 ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X196:$i, 122.51/16.09 X198:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X198 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X196 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X200:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X200 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X196 ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X198 @ 122.51/16.09 X200 ) @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X196 ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 powersetT_lem ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X202:$i, 122.51/16.09 X204:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X204 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X202 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X206:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X206 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X202 ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X204 @ 122.51/16.09 X206 ) @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X202 ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X208:$i, 122.51/16.09 X210:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X210 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X208 ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X208 @ 122.51/16.09 X210 ) @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X208 ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setextT ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subsetTI ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 powersetTI1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 powersetTE1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X212:$i, 122.51/16.09 X214:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X214 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X212 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X216:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X216 @ 122.51/16.09 X212 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X216 @ 122.51/16.09 X214 ) => 122.51/16.09 ( 122.51/16.09 ~( 122.51/16.09 in @ 122.51/16.09 X216 @ 122.51/16.09 ( 122.51/16.09 setminus 122.51/16.09 @ 122.51/16.09 X212 @ 122.51/16.09 X214 ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X218:$i, 122.51/16.09 X220:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X220 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X218 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X222:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X222 @ 122.51/16.09 X218 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ~( 122.51/16.09 in @ 122.51/16.09 X222 @ 122.51/16.09 ( 122.51/16.09 setminus 122.51/16.09 @ 122.51/16.09 X218 @ 122.51/16.09 X220 ) ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X222 @ 122.51/16.09 X220 ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X224:$i, 122.51/16.09 X226:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X226 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X224 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X228:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X228 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X224 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X230:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X230 @ 122.51/16.09 X224 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ~( 122.51/16.09 in @ 122.51/16.09 X230 @ 122.51/16.09 X226 ) ) => 122.51/16.09 ( 122.51/16.09 ~( 122.51/16.09 in @ 122.51/16.09 X230 @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X226 @ 122.51/16.09 X228 ) ) ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X232:$i, 122.51/16.09 X234:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X234 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X232 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X236:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X236 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X232 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X238:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X238 @ 122.51/16.09 X232 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ~( 122.51/16.09 in @ 122.51/16.09 X238 @ 122.51/16.09 X236 ) ) => 122.51/16.09 ( 122.51/16.09 ~( 122.51/16.09 in @ 122.51/16.09 X238 @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X234 @ 122.51/16.09 X236 ) ) ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X240:$i, 122.51/16.09 X242:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X242 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X240 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X244:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X244 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X240 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X246:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X246 @ 122.51/16.09 X240 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X242 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X240 @ 122.51/16.09 X244 ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X246 @ 122.51/16.09 X244 ) => 122.51/16.09 ( 122.51/16.09 ~( 122.51/16.09 in @ 122.51/16.09 X246 @ 122.51/16.09 X242 ) ) ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 contrasubsetT1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X248:$i, 122.51/16.09 X250:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X250 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X248 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X252:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X252 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X248 ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X250 @ 122.51/16.09 X252 ) => 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X248 @ 122.51/16.09 X252 ) @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X248 @ 122.51/16.09 X250 ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X254:$i, 122.51/16.09 X256:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X256 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X254 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X258:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X258 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X254 ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X254 @ 122.51/16.09 X258 ) @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X254 @ 122.51/16.09 X256 ) ) => 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X256 @ 122.51/16.09 X258 ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X260:$i, 122.51/16.09 X262:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X262 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X260 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X264:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X264 @ 122.51/16.09 X260 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X264 @ 122.51/16.09 X262 ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X264 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X260 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X260 @ 122.51/16.09 X262 ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X266:$i, 122.51/16.09 X268:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X268 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X266 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X270:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X270 @ 122.51/16.09 X266 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X270 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X266 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X266 @ 122.51/16.09 X268 ) ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X270 @ 122.51/16.09 X268 ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X272:$i, 122.51/16.09 X274:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X274 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X272 ) ) => 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X274 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X272 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X272 @ 122.51/16.09 X274 ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X276:$i, 122.51/16.09 X278:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X278 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X276 ) ) => 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X276 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X276 @ 122.51/16.09 X278 ) ) @ 122.51/16.09 X278 ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X280:$i, 122.51/16.09 X282:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X282 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X280 ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 X282 ) = 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X280 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X280 @ 122.51/16.09 X282 ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X284:$i, 122.51/16.09 X286:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X286 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X284 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X288:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X288 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X284 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X290:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X290 @ 122.51/16.09 X284 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X290 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X284 @ 122.51/16.09 X286 ) ) => 122.51/16.09 ( 122.51/16.09 ~( 122.51/16.09 in @ 122.51/16.09 X290 @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X286 @ 122.51/16.09 X288 ) ) ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X292:$i, 122.51/16.09 X294:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X294 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X292 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X296:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X296 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X292 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X298:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X298 @ 122.51/16.09 X292 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X298 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X292 @ 122.51/16.09 X294 ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X298 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X292 @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X294 @ 122.51/16.09 X296 ) ) ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X300:$i, 122.51/16.09 X302:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X302 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X300 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X304:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X304 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X300 ) ) => 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X300 @ 122.51/16.09 X302 ) @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X300 @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X302 @ 122.51/16.09 X304 ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X306:$i, 122.51/16.09 X308:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X308 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X306 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X310:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X310 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X306 ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X306 @ 122.51/16.09 X308 ) @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X306 @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X308 @ 122.51/16.09 X310 ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X312:$i, 122.51/16.09 X314:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X314 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X312 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X316:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X316 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X312 ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X314 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X312 @ 122.51/16.09 X316 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X318:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X318 @ 122.51/16.09 X312 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X318 @ 122.51/16.09 X316 ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X318 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X312 @ 122.51/16.09 X314 ) ) ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X320:$i, 122.51/16.09 X322:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X322 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X320 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X324:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X324 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X320 ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X322 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X320 @ 122.51/16.09 X324 ) ) => 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X324 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X320 @ 122.51/16.09 X322 ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X326:$i, 122.51/16.09 X328:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X328 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X326 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X330:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X330 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X326 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X332:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X332 @ 122.51/16.09 X326 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ~( 122.51/16.09 in @ 122.51/16.09 X332 @ 122.51/16.09 ( 122.51/16.09 binunion 122.51/16.09 @ 122.51/16.09 X328 @ 122.51/16.09 X330 ) ) ) => 122.51/16.09 ( 122.51/16.09 ~( 122.51/16.09 in @ 122.51/16.09 X332 @ 122.51/16.09 X328 ) ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X334:$i, 122.51/16.09 X336:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X336 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X334 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X338:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X338 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X334 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X340:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X340 @ 122.51/16.09 X334 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ~( 122.51/16.09 in @ 122.51/16.09 X340 @ 122.51/16.09 ( 122.51/16.09 binunion 122.51/16.09 @ 122.51/16.09 X336 @ 122.51/16.09 X338 ) ) ) => 122.51/16.09 ( 122.51/16.09 ~( 122.51/16.09 in @ 122.51/16.09 X340 @ 122.51/16.09 X338 ) ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X342:$i, 122.51/16.09 X344:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X344 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X342 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X346:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X346 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X342 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X348:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X348 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X342 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X350:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X350 @ 122.51/16.09 X342 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X350 @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X344 @ 122.51/16.09 X346 ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X350 @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X344 @ 122.51/16.09 X348 ) ) ) ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X352:$i, 122.51/16.09 X354:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X354 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X352 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X356:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X356 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X352 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X358:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X358 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X352 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X360:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X360 @ 122.51/16.09 X352 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X360 @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X354 @ 122.51/16.09 X356 ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X360 @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X356 @ 122.51/16.09 X358 ) ) ) ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X362:$i, 122.51/16.09 X364:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X364 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X362 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X366:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X366 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X362 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X368:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X368 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X362 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X370:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X370 @ 122.51/16.09 X362 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X370 @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X364 @ 122.51/16.09 X366 ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X370 @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X364 @ 122.51/16.09 X368 ) @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X366 @ 122.51/16.09 X368 ) ) ) ) ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X372:$i, 122.51/16.09 X374:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X374 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X372 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X376:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X376 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X372 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X378:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X378 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X372 ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X374 @ 122.51/16.09 X376 ) @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X374 @ 122.51/16.09 X378 ) @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X376 @ 122.51/16.09 X378 ) ) ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X380:$i, 122.51/16.09 X382:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X382 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X380 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X384:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X384 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X380 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X386:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X386 @ 122.51/16.09 X380 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X386 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X380 @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X382 @ 122.51/16.09 X384 ) ) ) => 122.51/16.09 ( 122.51/16.09 ~( 122.51/16.09 in @ 122.51/16.09 X386 @ 122.51/16.09 X382 ) ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X388:$i, 122.51/16.09 X390:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X390 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X388 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X392:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X392 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X388 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X394:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X394 @ 122.51/16.09 X388 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X394 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X388 @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X390 @ 122.51/16.09 X392 ) ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X394 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X388 @ 122.51/16.09 X390 ) ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X396:$i, 122.51/16.09 X398:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X398 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X396 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X400:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X400 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X396 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X402:$o, 122.51/16.09 X404:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X404 @ 122.51/16.09 X396 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X404 @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X398 @ 122.51/16.09 X400 ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X404 @ 122.51/16.09 X398 ) => 122.51/16.09 ( 122.51/16.09 X402 ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X404 @ 122.51/16.09 X400 ) => 122.51/16.09 ( 122.51/16.09 X402 ) ) => 122.51/16.09 ( 122.51/16.09 X402 ) ) ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X406:$i, 122.51/16.09 X408:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X408 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X406 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X410:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X410 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X406 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X412:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X412 @ 122.51/16.09 X406 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ~( 122.51/16.09 in @ 122.51/16.09 X412 @ 122.51/16.09 X408 ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ~( 122.51/16.09 in @ 122.51/16.09 X412 @ 122.51/16.09 X410 ) ) => 122.51/16.09 ( 122.51/16.09 ~( 122.51/16.09 in @ 122.51/16.09 X412 @ 122.51/16.09 ( 122.51/16.09 binunion 122.51/16.09 @ 122.51/16.09 X408 @ 122.51/16.09 X410 ) ) ) ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X414:$i, 122.51/16.09 X416:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X416 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X414 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X418:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X418 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X414 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X420:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X420 @ 122.51/16.09 X414 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X420 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X414 @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X416 @ 122.51/16.09 X418 ) ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X420 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X414 @ 122.51/16.09 X416 ) ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X422:$i, 122.51/16.09 X424:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X424 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X422 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X426:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X426 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X422 ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X422 @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X424 @ 122.51/16.09 X426 ) ) @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X422 @ 122.51/16.09 X424 ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X428:$i, 122.51/16.09 X430:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X430 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X428 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X432:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X432 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X428 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X434:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X434 @ 122.51/16.09 X428 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X434 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X428 @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X430 @ 122.51/16.09 X432 ) ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X434 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X428 @ 122.51/16.09 X432 ) ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X436:$i, 122.51/16.09 X438:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X438 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X436 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X440:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X440 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X436 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X442:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X442 @ 122.51/16.09 X436 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X442 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X436 @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X438 @ 122.51/16.09 X440 ) ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X442 @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X436 @ 122.51/16.09 X438 ) @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X436 @ 122.51/16.09 X440 ) ) ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X444:$i, 122.51/16.09 X446:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X446 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X444 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X448:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X448 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X444 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X450:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X450 @ 122.51/16.09 X444 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X450 @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X444 @ 122.51/16.09 X446 ) @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X444 @ 122.51/16.09 X448 ) ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X450 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X444 @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X446 @ 122.51/16.09 X448 ) ) ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X452:$i, 122.51/16.09 X454:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X454 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X452 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X456:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X456 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X452 ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X452 @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X454 @ 122.51/16.09 X456 ) ) = 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X452 @ 122.51/16.09 X454 ) @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X452 @ 122.51/16.09 X456 ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X458:$i, 122.51/16.09 X460:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X460 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X458 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X462:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X462 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X458 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X464:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X464 @ 122.51/16.09 X458 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X464 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X458 @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X460 @ 122.51/16.09 X462 ) ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X464 @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X458 @ 122.51/16.09 X460 ) @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X458 @ 122.51/16.09 X462 ) ) ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X466:$i, 122.51/16.09 X468:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X468 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X466 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X470:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X470 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X466 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X472:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X472 @ 122.51/16.09 X466 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X472 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X466 @ 122.51/16.09 X468 ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X472 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X466 @ 122.51/16.09 X470 ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X472 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X466 @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X468 @ 122.51/16.09 X470 ) ) ) ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X474:$i, 122.51/16.09 X476:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X476 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X474 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X478:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X478 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X474 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X480:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X480 @ 122.51/16.09 X474 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X480 @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X474 @ 122.51/16.09 X476 ) @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X474 @ 122.51/16.09 X478 ) ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X480 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X474 @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X476 @ 122.51/16.09 X478 ) ) ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X482:$i, 122.51/16.09 X484:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X484 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X482 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X486:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X486 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X482 ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X482 @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X484 @ 122.51/16.09 X486 ) ) = 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X482 @ 122.51/16.09 X484 ) @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X482 @ 122.51/16.09 X486 ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X488:$i, 122.51/16.09 X490:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X490 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X488 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X492:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X492 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X488 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X494:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X494 @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X490 @ 122.51/16.09 X492 ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X494 @ 122.51/16.09 X488 ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X496:$i, 122.51/16.09 X498:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X498 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X496 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X500:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X500 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X496 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X502:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X502 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X496 ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X498 @ 122.51/16.09 X502 ) => 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X498 @ 122.51/16.09 X500 ) @ 122.51/16.09 X502 ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X504:$i, 122.51/16.09 X506:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X506 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X504 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X508:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X508 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X504 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X510:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X510 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X504 ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X508 @ 122.51/16.09 X510 ) => 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X506 @ 122.51/16.09 X508 ) @ 122.51/16.09 X510 ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X512:$i, 122.51/16.09 X514:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X514 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X512 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X516:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X516 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X512 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X518:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X518 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X512 ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X514 @ 122.51/16.09 X516 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X514 @ 122.51/16.09 X518 ) => 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X514 @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X516 @ 122.51/16.09 X518 ) ) ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X520:$i, 122.51/16.09 X522:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X522 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X520 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X524:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X524 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X520 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X526:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X526 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X520 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X528:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X528 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X520 ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X522 @ 122.51/16.09 X526 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X524 @ 122.51/16.09 X528 ) => 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X522 @ 122.51/16.09 X524 ) @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X526 @ 122.51/16.09 X528 ) ) ) ) ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X530:$i, 122.51/16.09 X532:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X532 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X530 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X534:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X534 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X530 ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X530 @ 122.51/16.09 X532 ) @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X530 @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X532 @ 122.51/16.09 X534 ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X536:$i, 122.51/16.09 X538:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X538 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X536 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X540:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X540 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X536 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X542:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X542 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X536 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X544:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X544 @ 122.51/16.09 ( 122.51/16.09 powerset @ 122.51/16.09 X536 ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X536 @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X538 @ 122.51/16.09 X540 ) @ 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 X542 @ 122.51/16.09 X544 ) ) ) = 122.51/16.09 ( 122.51/16.09 binunion @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X536 @ 122.51/16.09 X538 ) @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X536 @ 122.51/16.09 X540 ) ) @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X536 @ 122.51/16.09 X542 ) @ 122.51/16.09 ( 122.51/16.09 setminus @ 122.51/16.09 X536 @ 122.51/16.09 X544 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 122.51/16.09 thf(zf_stmt_1, negated_conjecture, 122.51/16.09 (~( ( setextAx ) => 122.51/16.09 ( ( emptysetAx ) => 122.51/16.09 ( ( setadjoinAx ) => 122.51/16.09 ( ( powersetAx ) => 122.51/16.09 ( ( setunionAx ) => 122.51/16.09 ( ( omega0Ax ) => 122.51/16.09 ( ( omegaSAx ) => 122.51/16.09 ( ( omegaIndAx ) => 122.51/16.09 ( ( replAx ) => 122.51/16.09 ( ( foundationAx ) => 122.51/16.09 ( ( wellorderingAx ) => 122.51/16.09 ( ( descrp ) => 122.51/16.09 ( ( dsetconstrI ) => 122.51/16.09 ( ( dsetconstrEL ) => 122.51/16.09 ( ( dsetconstrER ) => 122.51/16.09 ( ( exuE1 ) => 122.51/16.09 ( ( prop2setE ) => 122.51/16.09 ( ( emptysetE ) => 122.51/16.09 ( ( emptysetimpfalse ) => 122.51/16.09 ( ( notinemptyset ) => 122.51/16.09 ( ( exuE3e ) => 122.51/16.09 ( ( setext ) => 122.51/16.09 ( ( emptyI ) => 122.51/16.09 ( ( noeltsimpempty ) => 122.51/16.09 ( ( setbeta ) => 122.51/16.09 ( ( nonemptyE1 ) => 122.51/16.09 ( ( nonemptyI ) => 122.51/16.09 ( ( nonemptyI1 ) => 122.51/16.09 ( ( setadjoinIL ) => 122.51/16.09 ( ( emptyinunitempty ) => 122.51/16.09 ( ( setadjoinIR ) => 122.51/16.09 ( ( 122.51/16.09 setadjoinE ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setadjoinOr ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setoftrueEq ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 powersetI ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 emptyinPowerset ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 emptyInPowerset ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 powersetE ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setunionI ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setunionE ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subPowSU ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 exuE2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 nonemptyImpWitness ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 uniqinunit ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 notinsingleton ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 eqinunit ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 singletonsswitch ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 upairsetE ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 upairsetIL ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 upairsetIR ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 emptyE1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 vacuousDall ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 quantDeMorgan1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 quantDeMorgan2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 quantDeMorgan3 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 quantDeMorgan4 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 prop2setI ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 prop2set2propI ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 notdexE ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 notdallE ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 exuI1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 exuI3 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 exuI2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 inCongP ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in__Cong ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 exuE3u ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 exu__Cong ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 emptyset__Cong ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setadjoin__Cong ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 powerset__Cong ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setunion__Cong ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 omega__Cong ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 exuEu ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 descr__Cong ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 dsetconstr__Cong ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subsetI1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 eqimpsubset2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 eqimpsubset1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subsetI2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 emptysetsubset ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subsetE ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subsetE2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 notsubsetI ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 notequalI1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 notequalI2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subsetRefl ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subsetTrans ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setadjoinSub ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setadjoinSub2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subset2powerset ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setextsub ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subsetemptysetimpeq ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 powersetI1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 powersetE1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 inPowerset ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 powersetsubset ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 sepInPowerset ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 sepSubset ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X4:$i, 122.51/16.09 X6:$i, 122.51/16.09 X8:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X8 @ X4 ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X8 @ 122.51/16.09 ( 122.51/16.09 binunion 122.51/16.09 @ 122.51/16.09 X4 @ X6 ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 upairset2IR ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X10:$i, 122.51/16.09 X12:$i, 122.51/16.09 X14:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X14 @ X12 ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X14 @ 122.51/16.09 ( 122.51/16.09 binunion 122.51/16.09 @ 122.51/16.09 X10 @ X12 ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X16:$i, 122.51/16.09 X18:$i, 122.51/16.09 X20:$i, 122.51/16.09 X22:$o]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X20 @ 122.51/16.09 ( 122.51/16.09 binunion 122.51/16.09 @ 122.51/16.09 X16 @ X18 ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X20 @ X16 ) => 122.51/16.09 ( 122.51/16.09 X22 ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X20 @ X18 ) => 122.51/16.09 ( 122.51/16.09 X22 ) ) => 122.51/16.09 ( 122.51/16.09 X22 ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X24:$i, 122.51/16.09 X26:$i, 122.51/16.09 X28:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X28 @ 122.51/16.09 ( 122.51/16.09 binunion 122.51/16.09 @ 122.51/16.09 X24 @ X26 ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X28 @ X24 ) | 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X28 @ X26 ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X30:$i, 122.51/16.09 X32:$i]: 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X30 @ 122.51/16.09 ( 122.51/16.09 binunion 122.51/16.09 @ 122.51/16.09 X30 @ X32 ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X34:$i, 122.51/16.09 X36:$i]: 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X36 @ 122.51/16.09 ( 122.51/16.09 binunion 122.51/16.09 @ 122.51/16.09 X34 @ X36 ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X38:$i, 122.51/16.09 X40:$i, 122.51/16.09 X42:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X42 @ X38 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X42 @ X40 ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X42 @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X38 @ X40 ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X44:$i, 122.51/16.09 X46:$i, 122.51/16.09 X48:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X48 @ X44 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X48 @ X46 ) => 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X48 @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X44 @ X46 ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X50:$i, 122.51/16.09 X52:$i, 122.51/16.09 X54:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X54 @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X50 @ X52 ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X54 @ X50 ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X56:$i, 122.51/16.09 X58:$i]: 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X56 @ X58 ) @ 122.51/16.09 X56 ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X60:$i, 122.51/16.09 X62:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X60 @ X62 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X60 @ X62 ) = 122.51/16.09 ( 122.51/16.09 X60 ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X64:$i, 122.51/16.09 X66:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X64 @ X66 ) = 122.51/16.09 ( 122.51/16.09 X66 ) ) => 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X66 @ X64 ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X68:$i, 122.51/16.09 X70:$i, 122.51/16.09 X72:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X72 @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X68 @ X70 ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X72 @ X70 ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X74:$i, 122.51/16.09 X76:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ~ 122.51/16.09 ( 122.51/16.09 ?[ 122.51/16.09 X78:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X78 @ X76 ) & 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X78 @ X74 ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X74 @ X76 ) = 122.51/16.09 ( 122.51/16.09 emptyset ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X80:$i, 122.51/16.09 X82:$i]: 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X80 @ X82 ) @ 122.51/16.09 X82 ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X84:$i, 122.51/16.09 X86:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X86 @ X84 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X84 @ X86 ) = 122.51/16.09 ( 122.51/16.09 X86 ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X88:$i, 122.51/16.09 X90:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X88 @ X90 ) = 122.51/16.09 ( 122.51/16.09 X88 ) ) => 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X88 @ X90 ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X92:$i, 122.51/16.09 X94:$i, 122.51/16.09 X96:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X92 @ 122.51/16.09 ( 122.51/16.09 binunion 122.51/16.09 @ 122.51/16.09 X94 @ X96 ) ) = 122.51/16.09 ( 122.51/16.09 binunion 122.51/16.09 @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X92 @ X94 ) @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X92 @ X96 ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X98:$i, 122.51/16.09 X100:$i, 122.51/16.09 X102:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X102 @ 122.51/16.09 X98 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ~ 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X102 @ 122.51/16.09 X100 ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X102 @ 122.51/16.09 ( 122.51/16.09 setminus 122.51/16.09 @ 122.51/16.09 X98 @ 122.51/16.09 X100 ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X104:$i, 122.51/16.09 X106:$i, 122.51/16.09 X108:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X108 @ 122.51/16.09 ( 122.51/16.09 setminus 122.51/16.09 @ 122.51/16.09 X104 @ 122.51/16.09 X106 ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X108 @ 122.51/16.09 X104 ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X110:$i, 122.51/16.09 X112:$i, 122.51/16.09 X114:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X114 @ 122.51/16.09 ( 122.51/16.09 setminus 122.51/16.09 @ 122.51/16.09 X110 @ 122.51/16.09 X112 ) ) => 122.51/16.09 ( 122.51/16.09 ~ 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X114 @ 122.51/16.09 X112 ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X116:$i, 122.51/16.09 X118:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X116 @ 122.51/16.09 X118 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setminus 122.51/16.09 @ 122.51/16.09 X116 @ 122.51/16.09 X118 ) = 122.51/16.09 ( 122.51/16.09 emptyset ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X120:$i, 122.51/16.09 X122:$i, 122.51/16.09 X124:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ~ 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X124 @ 122.51/16.09 ( 122.51/16.09 setminus 122.51/16.09 @ 122.51/16.09 X120 @ 122.51/16.09 X122 ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X124 @ 122.51/16.09 X120 ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X124 @ 122.51/16.09 X122 ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X126:$i, 122.51/16.09 X128:$i, 122.51/16.09 X130:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ~ 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X130 @ 122.51/16.09 ( 122.51/16.09 setminus 122.51/16.09 @ 122.51/16.09 X126 @ 122.51/16.09 X128 ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ~ 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X130 @ 122.51/16.09 X128 ) ) => 122.51/16.09 ( 122.51/16.09 ~ 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X130 @ 122.51/16.09 X126 ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X132:$i, 122.51/16.09 X134:$i, 122.51/16.09 X136:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ~ 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X136 @ 122.51/16.09 X132 ) ) => 122.51/16.09 ( 122.51/16.09 ~ 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X136 @ 122.51/16.09 ( 122.51/16.09 setminus 122.51/16.09 @ 122.51/16.09 X132 @ 122.51/16.09 X134 ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X138:$i, 122.51/16.09 X140:$i, 122.51/16.09 X142:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X142 @ 122.51/16.09 X140 ) => 122.51/16.09 ( 122.51/16.09 ~ 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X142 @ 122.51/16.09 ( 122.51/16.09 setminus 122.51/16.09 @ 122.51/16.09 X138 @ 122.51/16.09 X140 ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X144:$i, 122.51/16.09 X146:$i]: 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 ( 122.51/16.09 setminus 122.51/16.09 @ 122.51/16.09 X144 @ 122.51/16.09 X146 ) @ 122.51/16.09 X144 ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X148:$i, 122.51/16.09 X150:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setminus 122.51/16.09 @ 122.51/16.09 X148 @ 122.51/16.09 X150 ) = 122.51/16.09 ( 122.51/16.09 emptyset ) ) => 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 X148 @ 122.51/16.09 X150 ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 symdiffE ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 symdiffI1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 symdiffI2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 symdiffIneg1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 symdiffIneg2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 secondinupair ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setukpairIL ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setukpairIR ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 kpairiskpair ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 kpairp ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 singletonsubset ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 singletoninpowerset ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X152:$i, 122.51/16.09 X154:$i, 122.51/16.09 X156:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X156 @ 122.51/16.09 X152 ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 ( 122.51/16.09 setadjoin 122.51/16.09 @ 122.51/16.09 X156 @ 122.51/16.09 emptyset ) @ 122.51/16.09 ( 122.51/16.09 powerset 122.51/16.09 @ 122.51/16.09 ( 122.51/16.09 binunion 122.51/16.09 @ 122.51/16.09 X152 @ 122.51/16.09 X154 ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 upairset2E ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X158:$i, 122.51/16.09 X160:$i, 122.51/16.09 X162:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X162 @ 122.51/16.09 X158 ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X164:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X164 @ 122.51/16.09 X160 ) => 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 ( 122.51/16.09 setadjoin 122.51/16.09 @ 122.51/16.09 X162 @ 122.51/16.09 ( 122.51/16.09 setadjoin 122.51/16.09 @ 122.51/16.09 X164 @ 122.51/16.09 emptyset ) ) @ 122.51/16.09 ( 122.51/16.09 binunion 122.51/16.09 @ 122.51/16.09 X158 @ 122.51/16.09 X160 ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X166:$i, 122.51/16.09 X168:$i, 122.51/16.09 X170:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X170 @ 122.51/16.09 X166 ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X172:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X172 @ 122.51/16.09 X168 ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 ( 122.51/16.09 setadjoin 122.51/16.09 @ 122.51/16.09 X170 @ 122.51/16.09 ( 122.51/16.09 setadjoin 122.51/16.09 @ 122.51/16.09 X172 @ 122.51/16.09 emptyset ) ) @ 122.51/16.09 ( 122.51/16.09 powerset 122.51/16.09 @ 122.51/16.09 ( 122.51/16.09 binunion 122.51/16.09 @ 122.51/16.09 X166 @ 122.51/16.09 X168 ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X174:$i, 122.51/16.09 X176:$i, 122.51/16.09 X178:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X178 @ 122.51/16.09 X174 ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X180:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X180 @ 122.51/16.09 X176 ) => 122.51/16.09 ( 122.51/16.09 subset @ 122.51/16.09 ( 122.51/16.09 setadjoin 122.51/16.09 @ 122.51/16.09 ( 122.51/16.09 setadjoin 122.51/16.09 @ 122.51/16.09 X178 @ 122.51/16.09 emptyset ) @ 122.51/16.09 ( 122.51/16.09 setadjoin 122.51/16.09 @ 122.51/16.09 ( 122.51/16.09 setadjoin 122.51/16.09 @ 122.51/16.09 X178 @ 122.51/16.09 ( 122.51/16.09 setadjoin 122.51/16.09 @ 122.51/16.09 X180 @ 122.51/16.09 emptyset ) ) @ 122.51/16.09 emptyset ) ) @ 122.51/16.09 ( 122.51/16.09 powerset 122.51/16.09 @ 122.51/16.09 ( 122.51/16.09 binunion 122.51/16.09 @ 122.51/16.09 X174 @ 122.51/16.09 X176 ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X182:$i, 122.51/16.09 X184:$i, 122.51/16.09 X186:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X186 @ 122.51/16.09 X182 ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X188:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X188 @ 122.51/16.09 X184 ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 ( 122.51/16.09 setadjoin 122.51/16.09 @ 122.51/16.09 ( 122.51/16.09 setadjoin 122.51/16.09 @ 122.51/16.09 X186 @ 122.51/16.09 emptyset ) @ 122.51/16.09 ( 122.51/16.09 setadjoin 122.51/16.09 @ 122.51/16.09 ( 122.51/16.09 setadjoin 122.51/16.09 @ 122.51/16.09 X186 @ 122.51/16.09 ( 122.51/16.09 setadjoin 122.51/16.09 @ 122.51/16.09 X188 @ 122.51/16.09 emptyset ) ) @ 122.51/16.09 emptyset ) ) @ 122.51/16.09 ( 122.51/16.09 powerset 122.51/16.09 @ 122.51/16.09 ( 122.51/16.09 powerset 122.51/16.09 @ 122.51/16.09 ( 122.51/16.09 binunion 122.51/16.09 @ 122.51/16.09 X182 @ 122.51/16.09 X184 ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ubforcartprodlem3 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 cartprodpairin ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 cartprodmempair1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 cartprodmempair ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setunionE2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setunionsingleton1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setunionsingleton2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setunionsingleton ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 singletonprop ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ex1E1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ex1I ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ex1I2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 singletonsuniq ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setukpairinjL1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 kfstsingleton ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 theprop ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 kfstpairEq ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 cartprodfstin ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setukpairinjL2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setukpairinjL ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setukpairinjR11 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setukpairinjR12 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setukpairinjR1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 upairequniteq ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setukpairinjR2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setukpairinjR ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ksndsingleton ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ksndpairEq ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 kpairsurjEq ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 cartprodsndin ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 cartprodpairmemEL ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 cartprodpairmemER ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 cartprodmempaircEq ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 cartprodfstpairEq ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 cartprodsndpairEq ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 cartprodpairsurjEq ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 dpsetconstrI ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 dpsetconstrSub ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setOfPairsIsBReln ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 dpsetconstrERa ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 dpsetconstrEL1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 dpsetconstrEL2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 dpsetconstrER ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 funcImageSingleton ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 apProp ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 app ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 infuncsetfunc ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ap2p ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 funcinfuncset ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 lamProp ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 lamp ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 lam2p ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 brelnall1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 brelnall2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ex1E2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 funcGraphProp1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 funcGraphProp3 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 funcGraphProp2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 funcextLem ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 funcGraphProp4 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subbreln ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 eqbreln ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 funcext ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 funcext2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ap2apEq1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ap2apEq2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 beta1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 eta1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 lam2lamEq ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 beta2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 eta2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 iffalseProp1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 iffalseProp2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 iftrueProp1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 iftrueProp2 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ifSingleton ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ifp ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 theeq ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 iftrue ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 iffalse ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 iftrueorfalse ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X190:$i, 122.51/16.09 X192:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X192 @ 122.51/16.09 ( 122.51/16.09 powerset 122.51/16.09 @ 122.51/16.09 X190 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X194:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X194 @ 122.51/16.09 ( 122.51/16.09 powerset 122.51/16.09 @ 122.51/16.09 X190 ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X192 @ 122.51/16.09 X194 ) @ 122.51/16.09 ( 122.51/16.09 powerset 122.51/16.09 @ 122.51/16.09 X190 ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X196:$i, 122.51/16.09 X198:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X198 @ 122.51/16.09 ( 122.51/16.09 powerset 122.51/16.09 @ 122.51/16.09 X196 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X200:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X200 @ 122.51/16.09 ( 122.51/16.09 powerset 122.51/16.09 @ 122.51/16.09 X196 ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 ( 122.51/16.09 binunion 122.51/16.09 @ 122.51/16.09 X198 @ 122.51/16.09 X200 ) @ 122.51/16.09 ( 122.51/16.09 powerset 122.51/16.09 @ 122.51/16.09 X196 ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 powersetT_lem ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X202:$i, 122.51/16.09 X204:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X204 @ 122.51/16.09 ( 122.51/16.09 powerset 122.51/16.09 @ 122.51/16.09 X202 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X206:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X206 @ 122.51/16.09 ( 122.51/16.09 powerset 122.51/16.09 @ 122.51/16.09 X202 ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 ( 122.51/16.09 setminus 122.51/16.09 @ 122.51/16.09 X204 @ 122.51/16.09 X206 ) @ 122.51/16.09 ( 122.51/16.09 powerset 122.51/16.09 @ 122.51/16.09 X202 ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X208:$i, 122.51/16.09 X210:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X210 @ 122.51/16.09 ( 122.51/16.09 powerset 122.51/16.09 @ 122.51/16.09 X208 ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 ( 122.51/16.09 setminus 122.51/16.09 @ 122.51/16.09 X208 @ 122.51/16.09 X210 ) @ 122.51/16.09 ( 122.51/16.09 powerset 122.51/16.09 @ 122.51/16.09 X208 ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 setextT ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 subsetTI ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 powersetTI1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 powersetTE1 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X212:$i, 122.51/16.09 X214:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X214 @ 122.51/16.09 ( 122.51/16.09 powerset 122.51/16.09 @ 122.51/16.09 X212 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X216:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X216 @ 122.51/16.09 X212 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X216 @ 122.51/16.09 X214 ) => 122.51/16.09 ( 122.51/16.09 ~ 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X216 @ 122.51/16.09 ( 122.51/16.09 setminus 122.51/16.09 @ 122.51/16.09 X212 @ 122.51/16.09 X214 ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X218:$i, 122.51/16.09 X220:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X220 @ 122.51/16.09 ( 122.51/16.09 powerset 122.51/16.09 @ 122.51/16.09 X218 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X222:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X222 @ 122.51/16.09 X218 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ~ 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X222 @ 122.51/16.09 ( 122.51/16.09 setminus 122.51/16.09 @ 122.51/16.09 X218 @ 122.51/16.09 X220 ) ) ) => 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X222 @ 122.51/16.09 X220 ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X224:$i, 122.51/16.09 X226:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X226 @ 122.51/16.09 ( 122.51/16.09 powerset 122.51/16.09 @ 122.51/16.09 X224 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X228:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X228 @ 122.51/16.09 ( 122.51/16.09 powerset 122.51/16.09 @ 122.51/16.09 X224 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X230:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X230 @ 122.51/16.09 X224 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ~ 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X230 @ 122.51/16.09 X226 ) ) => 122.51/16.09 ( 122.51/16.09 ~ 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X230 @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X226 @ 122.51/16.09 X228 ) ) ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X232:$i, 122.51/16.09 X234:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X234 @ 122.51/16.09 ( 122.51/16.09 powerset 122.51/16.09 @ 122.51/16.09 X232 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X236:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X236 @ 122.51/16.09 ( 122.51/16.09 powerset 122.51/16.09 @ 122.51/16.09 X232 ) ) => 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X238:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X238 @ 122.51/16.09 X232 ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ~ 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X238 @ 122.51/16.09 X236 ) ) => 122.51/16.09 ( 122.51/16.09 ~ 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.09 X238 @ 122.51/16.09 ( 122.51/16.09 binintersect 122.51/16.09 @ 122.51/16.09 X234 @ 122.51/16.09 X236 ) ) ) ) ) ) ) ) ) ) => 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 ![ 122.51/16.09 X240:$i, 122.51/16.09 X242:$i]: 122.51/16.09 ( 122.51/16.09 ( 122.51/16.09 in @ 122.51/16.10 X242 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X240 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X244:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X244 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X240 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X246:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X246 @ 122.51/16.10 X240 ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 subset @ 122.51/16.10 X242 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X240 @ 122.51/16.10 X244 ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X246 @ 122.51/16.10 X244 ) => 122.51/16.10 ( 122.51/16.10 ~ 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X246 @ 122.51/16.10 X242 ) ) ) ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 contrasubsetT1 ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X248:$i, 122.51/16.10 X250:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X250 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X248 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X252:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X252 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X248 ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 subset @ 122.51/16.10 X250 @ 122.51/16.10 X252 ) => 122.51/16.10 ( 122.51/16.10 subset @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X248 @ 122.51/16.10 X252 ) @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X248 @ 122.51/16.10 X250 ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X254:$i, 122.51/16.10 X256:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X256 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X254 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X258:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X258 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X254 ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 subset @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X254 @ 122.51/16.10 X258 ) @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X254 @ 122.51/16.10 X256 ) ) => 122.51/16.10 ( 122.51/16.10 subset @ 122.51/16.10 X256 @ 122.51/16.10 X258 ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X260:$i, 122.51/16.10 X262:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X262 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X260 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X264:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X264 @ 122.51/16.10 X260 ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X264 @ 122.51/16.10 X262 ) => 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X264 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X260 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X260 @ 122.51/16.10 X262 ) ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X266:$i, 122.51/16.10 X268:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X268 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X266 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X270:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X270 @ 122.51/16.10 X266 ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X270 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X266 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X266 @ 122.51/16.10 X268 ) ) ) => 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X270 @ 122.51/16.10 X268 ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X272:$i, 122.51/16.10 X274:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X274 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X272 ) ) => 122.51/16.10 ( 122.51/16.10 subset @ 122.51/16.10 X274 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X272 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X272 @ 122.51/16.10 X274 ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X276:$i, 122.51/16.10 X278:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X278 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X276 ) ) => 122.51/16.10 ( 122.51/16.10 subset @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X276 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X276 @ 122.51/16.10 X278 ) ) @ 122.51/16.10 X278 ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X280:$i, 122.51/16.10 X282:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X282 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X280 ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 X282 ) = 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X280 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X280 @ 122.51/16.10 X282 ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X284:$i, 122.51/16.10 X286:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X286 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X284 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X288:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X288 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X284 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X290:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X290 @ 122.51/16.10 X284 ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X290 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X284 @ 122.51/16.10 X286 ) ) => 122.51/16.10 ( 122.51/16.10 ~ 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X290 @ 122.51/16.10 ( 122.51/16.10 binintersect 122.51/16.10 @ 122.51/16.10 X286 @ 122.51/16.10 X288 ) ) ) ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X292:$i, 122.51/16.10 X294:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X294 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X292 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X296:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X296 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X292 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X298:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X298 @ 122.51/16.10 X292 ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X298 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X292 @ 122.51/16.10 X294 ) ) => 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X298 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X292 @ 122.51/16.10 ( 122.51/16.10 binintersect 122.51/16.10 @ 122.51/16.10 X294 @ 122.51/16.10 X296 ) ) ) ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X300:$i, 122.51/16.10 X302:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X302 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X300 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X304:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X304 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X300 ) ) => 122.51/16.10 ( 122.51/16.10 subset @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X300 @ 122.51/16.10 X302 ) @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X300 @ 122.51/16.10 ( 122.51/16.10 binintersect 122.51/16.10 @ 122.51/16.10 X302 @ 122.51/16.10 X304 ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X306:$i, 122.51/16.10 X308:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X308 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X306 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X310:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X310 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X306 ) ) => 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X306 @ 122.51/16.10 X308 ) @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X306 @ 122.51/16.10 ( 122.51/16.10 binintersect 122.51/16.10 @ 122.51/16.10 X308 @ 122.51/16.10 X310 ) ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X312:$i, 122.51/16.10 X314:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X314 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X312 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X316:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X316 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X312 ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 subset @ 122.51/16.10 X314 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X312 @ 122.51/16.10 X316 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X318:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X318 @ 122.51/16.10 X312 ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X318 @ 122.51/16.10 X316 ) => 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X318 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X312 @ 122.51/16.10 X314 ) ) ) ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X320:$i, 122.51/16.10 X322:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X322 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X320 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X324:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X324 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X320 ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 subset @ 122.51/16.10 X322 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X320 @ 122.51/16.10 X324 ) ) => 122.51/16.10 ( 122.51/16.10 subset @ 122.51/16.10 X324 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X320 @ 122.51/16.10 X322 ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X326:$i, 122.51/16.10 X328:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X328 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X326 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X330:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X330 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X326 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X332:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X332 @ 122.51/16.10 X326 ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ~ 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X332 @ 122.51/16.10 ( 122.51/16.10 binunion 122.51/16.10 @ 122.51/16.10 X328 @ 122.51/16.10 X330 ) ) ) => 122.51/16.10 ( 122.51/16.10 ~ 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X332 @ 122.51/16.10 X328 ) ) ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X334:$i, 122.51/16.10 X336:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X336 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X334 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X338:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X338 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X334 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X340:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X340 @ 122.51/16.10 X334 ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ~ 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X340 @ 122.51/16.10 ( 122.51/16.10 binunion 122.51/16.10 @ 122.51/16.10 X336 @ 122.51/16.10 X338 ) ) ) => 122.51/16.10 ( 122.51/16.10 ~ 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X340 @ 122.51/16.10 X338 ) ) ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X342:$i, 122.51/16.10 X344:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X344 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X342 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X346:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X346 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X342 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X348:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X348 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X342 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X350:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X350 @ 122.51/16.10 X342 ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X350 @ 122.51/16.10 ( 122.51/16.10 binintersect 122.51/16.10 @ 122.51/16.10 X344 @ 122.51/16.10 X346 ) ) => 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X350 @ 122.51/16.10 ( 122.51/16.10 binunion 122.51/16.10 @ 122.51/16.10 X344 @ 122.51/16.10 X348 ) ) ) ) ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X352:$i, 122.51/16.10 X354:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X354 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X352 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X356:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X356 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X352 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X358:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X358 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X352 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X360:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X360 @ 122.51/16.10 X352 ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X360 @ 122.51/16.10 ( 122.51/16.10 binintersect 122.51/16.10 @ 122.51/16.10 X354 @ 122.51/16.10 X356 ) ) => 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X360 @ 122.51/16.10 ( 122.51/16.10 binunion 122.51/16.10 @ 122.51/16.10 X356 @ 122.51/16.10 X358 ) ) ) ) ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X362:$i, 122.51/16.10 X364:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X364 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X362 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X366:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X366 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X362 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X368:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X368 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X362 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X370:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X370 @ 122.51/16.10 X362 ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X370 @ 122.51/16.10 ( 122.51/16.10 binintersect 122.51/16.10 @ 122.51/16.10 X364 @ 122.51/16.10 X366 ) ) => 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X370 @ 122.51/16.10 ( 122.51/16.10 binintersect 122.51/16.10 @ 122.51/16.10 ( 122.51/16.10 binunion 122.51/16.10 @ 122.51/16.10 X364 @ 122.51/16.10 X368 ) @ 122.51/16.10 ( 122.51/16.10 binunion 122.51/16.10 @ 122.51/16.10 X366 @ 122.51/16.10 X368 ) ) ) ) ) ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X372:$i, 122.51/16.10 X374:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X374 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X372 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X376:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X376 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X372 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X378:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X378 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X372 ) ) => 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 ( 122.51/16.10 binintersect 122.51/16.10 @ 122.51/16.10 X374 @ 122.51/16.10 X376 ) @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 ( 122.51/16.10 binintersect 122.51/16.10 @ 122.51/16.10 ( 122.51/16.10 binunion 122.51/16.10 @ 122.51/16.10 X374 @ 122.51/16.10 X378 ) @ 122.51/16.10 ( 122.51/16.10 binunion 122.51/16.10 @ 122.51/16.10 X376 @ 122.51/16.10 X378 ) ) ) ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X380:$i, 122.51/16.10 X382:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X382 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X380 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X384:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X384 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X380 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X386:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X386 @ 122.51/16.10 X380 ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X386 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X380 @ 122.51/16.10 ( 122.51/16.10 binunion 122.51/16.10 @ 122.51/16.10 X382 @ 122.51/16.10 X384 ) ) ) => 122.51/16.10 ( 122.51/16.10 ~ 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X386 @ 122.51/16.10 X382 ) ) ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X388:$i, 122.51/16.10 X390:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X390 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X388 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X392:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X392 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X388 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X394:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X394 @ 122.51/16.10 X388 ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X394 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X388 @ 122.51/16.10 ( 122.51/16.10 binunion 122.51/16.10 @ 122.51/16.10 X390 @ 122.51/16.10 X392 ) ) ) => 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X394 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X388 @ 122.51/16.10 X390 ) ) ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X396:$i, 122.51/16.10 X398:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X398 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X396 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X400:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X400 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X396 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X402:$o, 122.51/16.10 X404:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X404 @ 122.51/16.10 X396 ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X404 @ 122.51/16.10 ( 122.51/16.10 binunion 122.51/16.10 @ 122.51/16.10 X398 @ 122.51/16.10 X400 ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X404 @ 122.51/16.10 X398 ) => 122.51/16.10 ( 122.51/16.10 X402 ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X404 @ 122.51/16.10 X400 ) => 122.51/16.10 ( 122.51/16.10 X402 ) ) => 122.51/16.10 ( 122.51/16.10 X402 ) ) ) ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X406:$i, 122.51/16.10 X408:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X408 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X406 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X410:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X410 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X406 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X412:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X412 @ 122.51/16.10 X406 ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ~ 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X412 @ 122.51/16.10 X408 ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ~ 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X412 @ 122.51/16.10 X410 ) ) => 122.51/16.10 ( 122.51/16.10 ~ 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X412 @ 122.51/16.10 ( 122.51/16.10 binunion 122.51/16.10 @ 122.51/16.10 X408 @ 122.51/16.10 X410 ) ) ) ) ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X414:$i, 122.51/16.10 X416:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X416 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X414 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X418:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X418 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X414 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X420:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X420 @ 122.51/16.10 X414 ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X420 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X414 @ 122.51/16.10 ( 122.51/16.10 binunion 122.51/16.10 @ 122.51/16.10 X416 @ 122.51/16.10 X418 ) ) ) => 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X420 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X414 @ 122.51/16.10 X416 ) ) ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X422:$i, 122.51/16.10 X424:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X424 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X422 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X426:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X426 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X422 ) ) => 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X422 @ 122.51/16.10 ( 122.51/16.10 binunion 122.51/16.10 @ 122.51/16.10 X424 @ 122.51/16.10 X426 ) ) @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X422 @ 122.51/16.10 X424 ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X428:$i, 122.51/16.10 X430:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X430 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X428 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X432:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X432 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X428 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X434:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X434 @ 122.51/16.10 X428 ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X434 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X428 @ 122.51/16.10 ( 122.51/16.10 binunion 122.51/16.10 @ 122.51/16.10 X430 @ 122.51/16.10 X432 ) ) ) => 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X434 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X428 @ 122.51/16.10 X432 ) ) ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X436:$i, 122.51/16.10 X438:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X438 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X436 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X440:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X440 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X436 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X442:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X442 @ 122.51/16.10 X436 ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X442 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X436 @ 122.51/16.10 ( 122.51/16.10 binintersect 122.51/16.10 @ 122.51/16.10 X438 @ 122.51/16.10 X440 ) ) ) => 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X442 @ 122.51/16.10 ( 122.51/16.10 binunion 122.51/16.10 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X436 @ 122.51/16.10 X438 ) @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X436 @ 122.51/16.10 X440 ) ) ) ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X444:$i, 122.51/16.10 X446:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X446 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X444 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X448:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X448 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X444 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X450:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X450 @ 122.51/16.10 X444 ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X450 @ 122.51/16.10 ( 122.51/16.10 binunion 122.51/16.10 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X444 @ 122.51/16.10 X446 ) @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X444 @ 122.51/16.10 X448 ) ) ) => 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X450 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X444 @ 122.51/16.10 ( 122.51/16.10 binintersect 122.51/16.10 @ 122.51/16.10 X446 @ 122.51/16.10 X448 ) ) ) ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X452:$i, 122.51/16.10 X454:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X454 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X452 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X456:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X456 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X452 ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X452 @ 122.51/16.10 ( 122.51/16.10 binintersect 122.51/16.10 @ 122.51/16.10 X454 @ 122.51/16.10 X456 ) ) = 122.51/16.10 ( 122.51/16.10 binunion 122.51/16.10 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X452 @ 122.51/16.10 X454 ) @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X452 @ 122.51/16.10 X456 ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X458:$i, 122.51/16.10 X460:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X460 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X458 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X462:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X462 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X458 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X464:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X464 @ 122.51/16.10 X458 ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X464 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X458 @ 122.51/16.10 ( 122.51/16.10 binunion 122.51/16.10 @ 122.51/16.10 X460 @ 122.51/16.10 X462 ) ) ) => 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X464 @ 122.51/16.10 ( 122.51/16.10 binintersect 122.51/16.10 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X458 @ 122.51/16.10 X460 ) @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X458 @ 122.51/16.10 X462 ) ) ) ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X466:$i, 122.51/16.10 X468:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X468 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X466 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X470:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X470 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X466 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X472:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X472 @ 122.51/16.10 X466 ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X472 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X466 @ 122.51/16.10 X468 ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X472 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X466 @ 122.51/16.10 X470 ) ) => 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X472 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X466 @ 122.51/16.10 ( 122.51/16.10 binunion 122.51/16.10 @ 122.51/16.10 X468 @ 122.51/16.10 X470 ) ) ) ) ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X474:$i, 122.51/16.10 X476:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X476 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X474 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X478:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X478 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X474 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X480:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X480 @ 122.51/16.10 X474 ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X480 @ 122.51/16.10 ( 122.51/16.10 binintersect 122.51/16.10 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X474 @ 122.51/16.10 X476 ) @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X474 @ 122.51/16.10 X478 ) ) ) => 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X480 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X474 @ 122.51/16.10 ( 122.51/16.10 binunion 122.51/16.10 @ 122.51/16.10 X476 @ 122.51/16.10 X478 ) ) ) ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X482:$i, 122.51/16.10 X484:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X484 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X482 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X486:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X486 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X482 ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X482 @ 122.51/16.10 ( 122.51/16.10 binunion 122.51/16.10 @ 122.51/16.10 X484 @ 122.51/16.10 X486 ) ) = 122.51/16.10 ( 122.51/16.10 binintersect 122.51/16.10 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X482 @ 122.51/16.10 X484 ) @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X482 @ 122.51/16.10 X486 ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X488:$i, 122.51/16.10 X490:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X490 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X488 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X492:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X492 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X488 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X494:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X494 @ 122.51/16.10 ( 122.51/16.10 binintersect 122.51/16.10 @ 122.51/16.10 X490 @ 122.51/16.10 X492 ) ) => 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X494 @ 122.51/16.10 X488 ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X496:$i, 122.51/16.10 X498:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X498 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X496 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X500:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X500 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X496 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X502:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X502 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X496 ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 subset @ 122.51/16.10 X498 @ 122.51/16.10 X502 ) => 122.51/16.10 ( 122.51/16.10 subset @ 122.51/16.10 ( 122.51/16.10 binintersect 122.51/16.10 @ 122.51/16.10 X498 @ 122.51/16.10 X500 ) @ 122.51/16.10 X502 ) ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X504:$i, 122.51/16.10 X506:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X506 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X504 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X508:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X508 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X504 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X510:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X510 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X504 ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 subset @ 122.51/16.10 X508 @ 122.51/16.10 X510 ) => 122.51/16.10 ( 122.51/16.10 subset @ 122.51/16.10 ( 122.51/16.10 binintersect 122.51/16.10 @ 122.51/16.10 X506 @ 122.51/16.10 X508 ) @ 122.51/16.10 X510 ) ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X512:$i, 122.51/16.10 X514:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X514 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X512 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X516:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X516 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X512 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X518:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X518 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X512 ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 subset @ 122.51/16.10 X514 @ 122.51/16.10 X516 ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 subset @ 122.51/16.10 X514 @ 122.51/16.10 X518 ) => 122.51/16.10 ( 122.51/16.10 subset @ 122.51/16.10 X514 @ 122.51/16.10 ( 122.51/16.10 binintersect 122.51/16.10 @ 122.51/16.10 X516 @ 122.51/16.10 X518 ) ) ) ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X520:$i, 122.51/16.10 X522:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X522 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X520 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X524:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X524 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X520 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X526:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X526 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X520 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X528:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X528 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X520 ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 subset @ 122.51/16.10 X522 @ 122.51/16.10 X526 ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 subset @ 122.51/16.10 X524 @ 122.51/16.10 X528 ) => 122.51/16.10 ( 122.51/16.10 subset @ 122.51/16.10 ( 122.51/16.10 binintersect 122.51/16.10 @ 122.51/16.10 X522 @ 122.51/16.10 X524 ) @ 122.51/16.10 ( 122.51/16.10 binintersect 122.51/16.10 @ 122.51/16.10 X526 @ 122.51/16.10 X528 ) ) ) ) ) ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X530:$i, 122.51/16.10 X532:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X532 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X530 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X534:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X534 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X530 ) ) => 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X530 @ 122.51/16.10 X532 ) @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X530 @ 122.51/16.10 ( 122.51/16.10 binintersect 122.51/16.10 @ 122.51/16.10 X532 @ 122.51/16.10 X534 ) ) ) ) ) ) ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X536:$i, 122.51/16.10 X538:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X538 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X536 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X540:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X540 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X536 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X542:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X542 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X536 ) ) => 122.51/16.10 ( 122.51/16.10 ![ 122.51/16.10 X544:$i]: 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 in @ 122.51/16.10 X544 @ 122.51/16.10 ( 122.51/16.10 powerset 122.51/16.10 @ 122.51/16.10 X536 ) ) => 122.51/16.10 ( 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X536 @ 122.51/16.10 ( 122.51/16.10 binintersect 122.51/16.10 @ 122.51/16.10 ( 122.51/16.10 binunion 122.51/16.10 @ 122.51/16.10 X538 @ 122.51/16.10 X540 ) @ 122.51/16.10 ( 122.51/16.10 binunion 122.51/16.10 @ 122.51/16.10 X542 @ 122.51/16.10 X544 ) ) ) = 122.51/16.10 ( 122.51/16.10 binunion 122.51/16.10 @ 122.51/16.10 ( 122.51/16.10 binintersect 122.51/16.10 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X536 @ 122.51/16.10 X538 ) @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X536 @ 122.51/16.10 X540 ) ) @ 122.51/16.10 ( 122.51/16.10 binintersect 122.51/16.10 @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X536 @ 122.51/16.10 X542 ) @ 122.51/16.10 ( 122.51/16.10 setminus 122.51/16.10 @ 122.51/16.10 X536 @ 122.51/16.10 X544 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 122.51/16.10 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 122.51/16.10 thf(zip_derived_cl175, plain, 122.51/16.10 (![X216 : $i, X217 : $i, X218 : $i]: 122.51/16.10 (~ (in @ X216 @ (powerset @ X217)) 122.51/16.10 | (in @ (binunion @ X218 @ X216) @ (powerset @ X217)) 122.51/16.10 | ~ (in @ X218 @ (powerset @ X217)))), 122.51/16.10 inference('cnf', [status(esa)], [zf_stmt_1])). 122.51/16.10 thf(zip_derived_cl144, plain, ( (in @ sk__268 @ (powerset @ sk__266))), 122.51/16.10 inference('cnf', [status(esa)], [zf_stmt_1])). 122.51/16.10 thf(zip_derived_cl148, plain, ( (in @ sk__267 @ (powerset @ sk__266))), 122.51/16.10 inference('cnf', [status(esa)], [zf_stmt_1])). 122.51/16.10 thf(zip_derived_cl154, plain, 122.51/16.10 (![X151 : $i, X152 : $i, X153 : $i]: 122.51/16.10 (~ (in @ X151 @ (powerset @ X152)) 122.51/16.10 | ((setminus @ X152 @ (binintersect @ X153 @ X151)) 122.51/16.10 = (binunion @ (setminus @ X152 @ X153) @ (setminus @ X152 @ X151))) 122.51/16.10 | ~ (in @ X153 @ (powerset @ X152)))), 122.51/16.10 inference('cnf', [status(esa)], [zf_stmt_1])). 122.51/16.10 thf(zip_derived_cl145, plain, ( (in @ sk__270 @ (powerset @ sk__266))), 122.51/16.10 inference('cnf', [status(esa)], [zf_stmt_1])). 122.51/16.10 thf(zip_derived_cl147, plain, ( (in @ sk__269 @ (powerset @ sk__266))), 122.51/16.10 inference('cnf', [status(esa)], [zf_stmt_1])). 122.51/16.10 thf(zip_derived_cl146, plain, 122.51/16.10 (((setminus @ sk__266 @ 122.51/16.10 (binintersect @ (binunion @ sk__267 @ sk__268) @ 122.51/16.10 (binunion @ sk__269 @ sk__270))) 122.51/16.10 != (binunion @ 122.51/16.10 (binintersect @ (setminus @ sk__266 @ sk__267) @ 122.51/16.10 (setminus @ sk__266 @ sk__268)) @ 122.51/16.10 (binintersect @ (setminus @ sk__266 @ sk__269) @ 122.51/16.10 (setminus @ sk__266 @ sk__270))))), 122.51/16.10 inference('cnf', [status(esa)], [zf_stmt_1])). 122.51/16.10 thf(zip_derived_cl152, plain, 122.51/16.10 (![X144 : $i, X145 : $i, X146 : $i]: 122.51/16.10 (~ (in @ X144 @ (powerset @ X145)) 122.51/16.10 | ((setminus @ X145 @ (binunion @ X146 @ X144)) 122.51/16.10 = (binintersect @ (setminus @ X145 @ X146) @ 122.51/16.10 (setminus @ X145 @ X144))) 122.51/16.10 | ~ (in @ X146 @ (powerset @ X145)))), 122.51/16.10 inference('cnf', [status(esa)], [zf_stmt_1])). 122.51/16.10 thf(zip_derived_cl37604, plain, ($false), 122.51/16.10 inference('eprover', [status(thm)], 122.51/16.10 [zip_derived_cl175, zip_derived_cl144, zip_derived_cl148, 122.51/16.10 zip_derived_cl154, zip_derived_cl145, zip_derived_cl147, 122.51/16.10 zip_derived_cl146, zip_derived_cl152])). 122.51/16.10 122.51/16.10 % SZS output end Refutation 122.51/16.10 122.51/16.10 122.51/16.10 % Terminating... 122.90/16.23 % Runner terminated. 122.90/16.24 % Zipperpin 1.5 exiting 122.90/16.25 EOF