0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Mvug72Z2UT true 0.15/0.35 % Computer : n022.cluster.edu 0.15/0.35 % Model : x86_64 x86_64 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.35 % Memory : 8042.1875MB 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.35 % CPULimit : 1440 0.15/0.35 % WCLimit : 180 0.15/0.35 % DateTime : Mon Jul 3 08:58:29 EDT 2023 0.15/0.35 % CPUTime : 0.15/0.35 % Running portfolio for 1440 s 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.15/0.36 % Number of cores: 8 0.15/0.36 % Python version: Python 3.6.8 0.15/0.36 % Running in HO mode 0.56/0.65 % Total configuration time : 828 0.56/0.65 % Estimated wc time : 1656 0.56/0.65 % Estimated cpu time (8 cpus) : 207.0 0.58/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.58/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.58/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.58/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.58/0.78 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.58/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.58/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.58/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 131.10/17.40 % Solved by lams/40_c.s.sh. 131.10/17.40 % done 666 iterations in 16.489s 131.10/17.40 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 131.10/17.40 % SZS output start Refutation 131.10/17.40 thf(setadjoinAx_type, type, setadjoinAx: $o). 131.10/17.40 thf(cartprodmempaircEq_type, type, cartprodmempaircEq: $o). 131.10/17.40 thf(notdexE_type, type, notdexE: $o). 131.10/17.40 thf(setunionAx_type, type, setunionAx: $o). 131.10/17.40 thf(setminusELneg_type, type, setminusELneg: $o). 131.10/17.40 thf(kpairsurjEq_type, type, kpairsurjEq: $o). 131.10/17.40 thf(powersetE_type, type, powersetE: $o). 131.10/17.40 thf(omegaSAx_type, type, omegaSAx: $o). 131.10/17.40 thf(exuI1_type, type, exuI1: $o). 131.10/17.40 thf(exuI2_type, type, exuI2: $o). 131.10/17.40 thf(notequalI2_type, type, notequalI2: $o). 131.10/17.40 thf(kpairiskpair_type, type, kpairiskpair: $o). 131.10/17.40 thf(upairsubunion_type, type, upairsubunion: $o). 131.10/17.40 thf(powerset__Cong_type, type, powerset__Cong: $o). 131.10/17.40 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o). 131.10/17.40 thf(setminusILneg_type, type, setminusILneg: $o). 131.10/17.40 thf(wellorderingAx_type, type, wellorderingAx: $o). 131.10/17.40 thf(setadjoinSub2_type, type, setadjoinSub2: $o). 131.10/17.40 thf(binintersectSubset5_type, type, binintersectSubset5: $o). 131.10/17.40 thf(upairinpowunion_type, type, upairinpowunion: $o). 131.10/17.40 thf(setoftrueEq_type, type, setoftrueEq: $o). 131.10/17.40 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $o). 131.10/17.40 thf(emptyset__Cong_type, type, emptyset__Cong: $o). 131.10/17.40 thf(cartprodpairmemER_type, type, cartprodpairmemER: $o). 131.10/17.40 thf(breln_type, type, breln: $i > $i > $i > $o). 131.10/17.40 thf(sepInPowerset_type, type, sepInPowerset: $o). 131.10/17.40 thf(setukpairIR_type, type, setukpairIR: $o). 131.10/17.40 thf(kpair_type, type, kpair: $i > $i > $i). 131.10/17.40 thf(binunionE_type, type, binunionE: $o). 131.10/17.40 thf(setext_type, type, setext: $o). 131.10/17.40 thf(emptyinPowerset_type, type, emptyinPowerset: $o). 131.10/17.40 thf(ksnd_type, type, ksnd: $i > $i). 131.10/17.40 thf(ubforcartprodlem1_type, type, ubforcartprodlem1: $o). 131.10/17.40 thf(setukpairinjR12_type, type, setukpairinjR12: $o). 131.10/17.40 thf(descr__Cong_type, type, descr__Cong: $o). 131.10/17.40 thf(binintersectSubset1_type, type, binintersectSubset1: $o). 131.10/17.40 thf(in_type, type, in: $i > $i > $o). 131.10/17.40 thf(cartprodfstpairEq_type, type, cartprodfstpairEq: $o). 131.10/17.40 thf(quantDeMorgan1_type, type, quantDeMorgan1: $o). 131.10/17.40 thf(binunion_type, type, binunion: $i > $i > $i). 131.10/17.40 thf(setadjoinIR_type, type, setadjoinIR: $o). 131.10/17.40 thf(setadjoin__Cong_type, type, setadjoin__Cong: $o). 131.10/17.40 thf(symdiffI2_type, type, symdiffI2: $o). 131.10/17.40 thf(sk__560_type, type, sk__560: $i). 131.10/17.40 thf(upairset2IR_type, type, upairset2IR: $o). 131.10/17.40 thf(sk__559_type, type, sk__559: $i). 131.10/17.40 thf(subsetE_type, type, subsetE: $o). 131.10/17.40 thf(prop2set2propI_type, type, prop2set2propI: $o). 131.10/17.40 thf(dsetconstrEL_type, type, dsetconstrEL: $o). 131.10/17.40 thf(setbeta_type, type, setbeta: $o). 131.10/17.40 thf(eqinunit_type, type, eqinunit: $o). 131.10/17.40 thf(upairsetIL_type, type, upairsetIL: $o). 131.10/17.40 thf(powersetI1_type, type, powersetI1: $o). 131.10/17.40 thf(binintersectSubset3_type, type, binintersectSubset3: $o). 131.10/17.40 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > ($i > $o) > $o). 131.10/17.40 thf(setukpairinjR_type, type, setukpairinjR: $o). 131.10/17.40 thf(cartprodfstin_type, type, cartprodfstin: $o). 131.10/17.40 thf(setminusIRneg_type, type, setminusIRneg: $o). 131.10/17.40 thf(kfst_type, type, kfst: $i > $i). 131.10/17.40 thf(powersetAx_type, type, powersetAx: $o). 131.10/17.40 thf(singletonprop_type, type, singletonprop: $o). 131.10/17.40 thf('#l_lift13994_type', type, '#l_lift13994': $i > $i > ($i > $i > $o) > $i > $o). 131.10/17.40 thf(binintersectSubset4_type, type, binintersectSubset4: $o). 131.10/17.40 thf(singletoninpowunion_type, type, singletoninpowunion: $o). 131.10/17.40 thf(powersetI_type, type, powersetI: $o). 131.10/17.40 thf(cartprodmempair_type, type, cartprodmempair: $o). 131.10/17.40 thf(upairsetIR_type, type, upairsetIR: $o). 131.10/17.40 thf(cartprodsndpairEq_type, type, cartprodsndpairEq: $o). 131.10/17.40 thf(dpsetconstrERa_type, type, dpsetconstrERa: $o). 131.10/17.40 thf(inCongP_type, type, inCongP: $o). 131.10/17.40 thf(setukpairinjL_type, type, setukpairinjL: $o). 131.10/17.40 thf(setadjoinSub_type, type, setadjoinSub: $o). 131.10/17.40 thf(exuE3e_type, type, exuE3e: $o). 131.10/17.40 thf(emptysetE_type, type, emptysetE: $o). 131.10/17.40 thf(upairequniteq_type, type, upairequniteq: $o). 131.10/17.40 thf(binintersectSubset2_type, type, binintersectSubset2: $o). 131.10/17.40 thf(setunionI_type, type, setunionI: $o). 131.10/17.40 thf(symdiff_type, type, symdiff: $i > $i > $i). 131.10/17.40 thf(setunion__Cong_type, type, setunion__Cong: $o). 131.10/17.40 thf(prop2setI_type, type, prop2setI: $o). 131.10/17.40 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o). 131.10/17.40 thf(setminusER_type, type, setminusER: $o). 131.10/17.40 thf(exuE2_type, type, exuE2: $o). 131.10/17.40 thf(emptyset_type, type, emptyset: $i). 131.10/17.40 thf(setminus_type, type, setminus: $i > $i > $i). 131.10/17.40 thf(powersetsubset_type, type, powersetsubset: $o). 131.10/17.40 thf(setukpairinjR1_type, type, setukpairinjR1: $o). 131.10/17.40 thf(setOfPairsIsBReln_type, type, setOfPairsIsBReln: $o). 131.10/17.40 thf(subPowSU_type, type, subPowSU: $o). 131.10/17.40 thf(ex1_type, type, ex1: $i > ($i > $o) > $o). 131.10/17.40 thf(notequalI1_type, type, notequalI1: $o). 131.10/17.40 thf(notinemptyset_type, type, notinemptyset: $o). 131.10/17.40 thf(nonemptyI1_type, type, nonemptyI1: $o). 131.10/17.40 thf(subsetTrans_type, type, subsetTrans: $o). 131.10/17.40 thf(setukpairinjR2_type, type, setukpairinjR2: $o). 131.10/17.40 thf(kpairp_type, type, kpairp: $o). 131.10/17.40 thf(setminusI_type, type, setminusI: $o). 131.10/17.40 thf(binunionIL_type, type, binunionIL: $o). 131.10/17.40 thf(dpsetconstrI_type, type, dpsetconstrI: $o). 131.10/17.40 thf(setunionsingleton_type, type, setunionsingleton: $o). 131.10/17.40 thf(subsetE2_type, type, subsetE2: $o). 131.10/17.40 thf(singletonsswitch_type, type, singletonsswitch: $o). 131.10/17.40 thf(kfstpairEq_type, type, kfstpairEq: $o). 131.10/17.40 thf(ubforcartprodlem3_type, type, ubforcartprodlem3: $o). 131.10/17.40 thf(setextsub_type, type, setextsub: $o). 131.10/17.40 thf(binunionLsub_type, type, binunionLsub: $o). 131.10/17.40 thf(setunionsingleton1_type, type, setunionsingleton1: $o). 131.10/17.40 thf(binintersect_type, type, binintersect: $i > $i > $i). 131.10/17.40 thf(emptysetsubset_type, type, emptysetsubset: $o). 131.10/17.40 thf(quantDeMorgan3_type, type, quantDeMorgan3: $o). 131.10/17.40 thf(setunionE_type, type, setunionE: $o). 131.10/17.40 thf(setminusSubset1_type, type, setminusSubset1: $o). 131.10/17.40 thf(sk__556_type, type, sk__556: $i). 131.10/17.40 thf(emptyinunitempty_type, type, emptyinunitempty: $o). 131.10/17.40 thf(binunionIR_type, type, binunionIR: $o). 131.10/17.40 thf(sk__558_type, type, sk__558: $i > $i > $o). 131.10/17.40 thf(setadjoinE_type, type, setadjoinE: $o). 131.10/17.40 thf(descr_type, type, descr: ($i > $o) > $i). 131.10/17.40 thf(cartprodpairmemEL_type, type, cartprodpairmemEL: $o). 131.10/17.40 thf(singletonsuniq_type, type, singletonsuniq: $o). 131.10/17.40 thf(setadjoinIL_type, type, setadjoinIL: $o). 131.10/17.40 thf(exuE1_type, type, exuE1: $o). 131.10/17.40 thf(ubforcartprodlem2_type, type, ubforcartprodlem2: $o). 131.10/17.40 thf(binintersectRsub_type, type, binintersectRsub: $o). 131.10/17.40 thf(setminusLsub_type, type, setminusLsub: $o). 131.10/17.40 thf(prop2set_type, type, prop2set: $o > $i). 131.10/17.40 thf(sk__557_type, type, sk__557: $i). 131.10/17.40 thf(notinsingleton_type, type, notinsingleton: $o). 131.10/17.40 thf(eqimpsubset2_type, type, eqimpsubset2: $o). 131.10/17.40 thf(exuEu_type, type, exuEu: $o). 131.10/17.40 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o). 131.10/17.40 thf(ex1I2_type, type, ex1I2: $o). 131.10/17.40 thf(upairsetE_type, type, upairsetE: $o). 131.10/17.40 thf(omega0Ax_type, type, omega0Ax: $o). 131.10/17.40 thf(notsubsetI_type, type, notsubsetI: $o). 131.10/17.40 thf(quantDeMorgan4_type, type, quantDeMorgan4: $o). 131.10/17.40 thf(setextAx_type, type, setextAx: $o). 131.10/17.40 thf(powersetE1_type, type, powersetE1: $o). 131.10/17.40 thf(bs114d_type, type, bs114d: $o). 131.10/17.40 thf(noeltsimpempty_type, type, noeltsimpempty: $o). 131.10/17.40 thf(setunion_type, type, setunion: $i > $i). 131.10/17.40 thf(iskpair_type, type, iskpair: $i > $o). 131.10/17.40 thf(binintersectLsub_type, type, binintersectLsub: $o). 131.10/17.40 thf(subsetI1_type, type, subsetI1: $o). 131.10/17.40 thf(symdiffE_type, type, symdiffE: $o). 131.10/17.40 thf(descrp_type, type, descrp: $o). 131.10/17.40 thf(dsetconstr__Cong_type, type, dsetconstr__Cong: $o). 131.10/17.40 thf(foundationAx_type, type, foundationAx: $o). 131.10/17.40 thf(emptysetAx_type, type, emptysetAx: $o). 131.10/17.40 thf(emptyI_type, type, emptyI: $o). 131.10/17.40 thf(setadjoinOr_type, type, setadjoinOr: $o). 131.10/17.40 thf(binintersectEL_type, type, binintersectEL: $o). 131.10/17.40 thf(emptyE1_type, type, emptyE1: $o). 131.10/17.40 thf(emptyInPowerset_type, type, emptyInPowerset: $o). 131.10/17.40 thf(vacuousDall_type, type, vacuousDall: $o). 131.10/17.40 thf(dsetconstr_type, type, dsetconstr: $i > ($i > $o) > $i). 131.10/17.40 thf(dsetconstrER_type, type, dsetconstrER: $o). 131.10/17.40 thf(exu_type, type, exu: ($i > $o) > $o). 131.10/17.40 thf(binintersectI_type, type, binintersectI: $o). 131.10/17.40 thf(cartprodpairin_type, type, cartprodpairin: $o). 131.10/17.40 thf(ex1I_type, type, ex1I: $o). 131.10/17.40 thf(cartprodmempair1_type, type, cartprodmempair1: $o). 131.10/17.40 thf(cartprodsndin_type, type, cartprodsndin: $o). 131.10/17.40 thf(setukpairinjR11_type, type, setukpairinjR11: $o). 131.10/17.40 thf(dpsetconstr_type, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i). 131.10/17.40 thf(singleton_type, type, singleton: $i > $o). 131.10/17.40 thf(symdiffI1_type, type, symdiffI1: $o). 131.10/17.40 thf(subsetI2_type, type, subsetI2: $o). 131.10/17.40 thf(dpsetconstrSub_type, type, dpsetconstrSub: $o). 131.10/17.40 thf(symdiffIneg1_type, type, symdiffIneg1: $o). 131.10/17.40 thf(theprop_type, type, theprop: $o). 131.10/17.40 thf(setminusERneg_type, type, setminusERneg: $o). 131.10/17.40 thf(symdiffIneg2_type, type, symdiffIneg2: $o). 131.10/17.40 thf(omega__Cong_type, type, omega__Cong: $o). 131.10/17.40 thf(subsetRefl_type, type, subsetRefl: $o). 131.10/17.40 thf(uniqinunit_type, type, uniqinunit: $o). 131.10/17.40 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > ($i > $i > $o) > $o). 131.10/17.40 thf(setminusSubset2_type, type, setminusSubset2: $o). 131.10/17.40 thf(prop2setE_type, type, prop2setE: $o). 131.10/17.40 thf(binunionEcases_type, type, binunionEcases: $o). 131.10/17.40 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > ($i > $o) > $o). 131.10/17.40 thf(omega_type, type, omega: $i). 131.10/17.40 thf(nonemptyI_type, type, nonemptyI: $o). 131.10/17.40 thf(disjointsetsI1_type, type, disjointsetsI1: $o). 131.10/17.40 thf(exuE3u_type, type, exuE3u: $o). 131.10/17.40 thf(setminusEL_type, type, setminusEL: $o). 131.10/17.40 thf(setunionsingleton2_type, type, setunionsingleton2: $o). 131.10/17.40 thf(sepSubset_type, type, sepSubset: $o). 131.10/17.40 thf(upairset2E_type, type, upairset2E: $o). 131.10/17.40 thf(eqimpsubset1_type, type, eqimpsubset1: $o). 131.10/17.40 thf(exuI3_type, type, exuI3: $o). 131.10/17.40 thf(notdallE_type, type, notdallE: $o). 131.10/17.40 thf(binintersectER_type, type, binintersectER: $o). 131.10/17.40 thf(ksndsingleton_type, type, ksndsingleton: $o). 131.10/17.40 thf(powerset_type, type, powerset: $i > $i). 131.10/17.40 thf(kfstsingleton_type, type, kfstsingleton: $o). 131.10/17.40 thf(dsetconstrI_type, type, dsetconstrI: $o). 131.10/17.40 thf(cartprodpairsurjEq_type, type, cartprodpairsurjEq: $o). 131.10/17.40 thf(nonempty_type, type, nonempty: $i > $o). 131.10/17.40 thf(set2prop_type, type, set2prop: $i > $o). 131.10/17.40 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $o). 131.10/17.40 thf(setadjoin_type, type, setadjoin: $i > $i > $i). 131.10/17.40 thf(exu__Cong_type, type, exu__Cong: $o). 131.10/17.40 thf(ksndpairEq_type, type, ksndpairEq: $o). 131.10/17.40 thf(quantDeMorgan2_type, type, quantDeMorgan2: $o). 131.10/17.40 thf(ex1E1_type, type, ex1E1: $o). 131.10/17.40 thf(secondinupair_type, type, secondinupair: $o). 131.10/17.40 thf(singletonsubset_type, type, singletonsubset: $o). 131.10/17.40 thf(singletoninpowerset_type, type, singletoninpowerset: $o). 131.10/17.40 thf(subsetemptysetimpeq_type, type, subsetemptysetimpeq: $o). 131.10/17.40 thf(replAx_type, type, replAx: $o). 131.10/17.40 thf(nonemptyE1_type, type, nonemptyE1: $o). 131.10/17.40 thf(omegaIndAx_type, type, omegaIndAx: $o). 131.10/17.40 thf(setukpairIL_type, type, setukpairIL: $o). 131.10/17.40 thf(setunionE2_type, type, setunionE2: $o). 131.10/17.40 thf(inPowerset_type, type, inPowerset: $o). 131.10/17.40 thf(cartprod_type, type, cartprod: $i > $i > $i). 131.10/17.40 thf(subset_type, type, subset: $i > $i > $o). 131.10/17.40 thf(in__Cong_type, type, in__Cong: $o). 131.10/17.40 thf(setukpairinjL2_type, type, setukpairinjL2: $o). 131.10/17.40 thf(binunionRsub_type, type, binunionRsub: $o). 131.10/17.40 thf(subset2powerset_type, type, subset2powerset: $o). 131.10/17.40 thf(setukpairinjL1_type, type, setukpairinjL1: $o). 131.10/17.40 thf(dpsetconstrERa, axiom, dpsetconstrERa = 131.10/17.40 (![A:$i,B:$i,Xphi:( $i > $i > $o ),Xx:$i]: 131.10/17.40 ( ( in @ Xx @ A ) => 131.10/17.40 ( ![Xy:$i]: 131.10/17.40 ( ( in @ Xy @ B ) => 131.10/17.40 ( ( in @ 131.10/17.40 ( kpair @ Xx @ Xy ) @ 131.10/17.40 ( dpsetconstr @ A @ B @ ( ^[Xz:$i,Xu:$i]: ( Xphi @ Xz @ Xu ) ) ) ) => 131.10/17.40 ( Xphi @ Xx @ Xy ) ) ) ) ))). 131.10/17.40 thf('0', plain, 131.10/17.40 (( dpsetconstrERa ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:( $i > $i > $o ),X10:$i]: 131.10/17.40 ( ( in @ X10 @ X4 ) => 131.10/17.40 ( ![X12:$i]: 131.10/17.40 ( ( in @ X12 @ X6 ) => 131.10/17.40 ( ( in @ 131.10/17.40 ( kpair @ X10 @ X12 ) @ 131.10/17.40 ( dpsetconstr @ 131.10/17.40 X4 @ X6 @ ( ^[V_1:$i,V_2:$i]: ( X8 @ V_1 @ V_2 ) ) ) ) => 131.10/17.40 ( X8 @ X10 @ X12 ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setOfPairsIsBReln, axiom, setOfPairsIsBReln = 131.10/17.40 (![A:$i,B:$i,Xphi:( $i > $i > $o )]: 131.10/17.40 ( breln @ 131.10/17.40 A @ B @ ( dpsetconstr @ A @ B @ ( ^[Xx:$i,Xy:$i]: ( Xphi @ Xx @ Xy ) ) ) ))). 131.10/17.40 thf('1', plain, 131.10/17.40 (( setOfPairsIsBReln ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:( $i > $i > $o )]: 131.10/17.40 ( breln @ 131.10/17.40 X4 @ X6 @ 131.10/17.40 ( dpsetconstr @ X4 @ X6 @ ( ^[V_1:$i,V_2:$i]: ( X8 @ V_1 @ V_2 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(dpsetconstrSub, axiom, dpsetconstrSub = 131.10/17.40 (![A:$i,B:$i,Xphi:( $i > $i > $o )]: 131.10/17.40 ( subset @ 131.10/17.40 ( dpsetconstr @ A @ B @ ( ^[Xx:$i,Xy:$i]: ( Xphi @ Xx @ Xy ) ) ) @ 131.10/17.40 ( cartprod @ A @ B ) ))). 131.10/17.40 thf('2', plain, 131.10/17.40 (( dpsetconstrSub ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:( $i > $i > $o )]: 131.10/17.40 ( subset @ 131.10/17.40 ( dpsetconstr @ X4 @ X6 @ ( ^[V_1:$i,V_2:$i]: ( X8 @ V_1 @ V_2 ) ) ) @ 131.10/17.40 ( cartprod @ X4 @ X6 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(dpsetconstrI, axiom, dpsetconstrI = 131.10/17.40 (![A:$i,B:$i,Xphi:( $i > $i > $o ),Xx:$i]: 131.10/17.40 ( ( in @ Xx @ A ) => 131.10/17.40 ( ![Xy:$i]: 131.10/17.40 ( ( in @ Xy @ B ) => 131.10/17.40 ( ( Xphi @ Xx @ Xy ) => 131.10/17.40 ( in @ 131.10/17.40 ( kpair @ Xx @ Xy ) @ 131.10/17.40 ( dpsetconstr @ A @ B @ ( ^[Xz:$i,Xu:$i]: ( Xphi @ Xz @ Xu ) ) ) ) ) ) ) ))). 131.10/17.40 thf('3', plain, 131.10/17.40 (( dpsetconstrI ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:( $i > $i > $o ),X10:$i]: 131.10/17.40 ( ( in @ X10 @ X4 ) => 131.10/17.40 ( ![X12:$i]: 131.10/17.40 ( ( in @ X12 @ X6 ) => 131.10/17.40 ( ( X8 @ X10 @ X12 ) => 131.10/17.40 ( in @ 131.10/17.40 ( kpair @ X10 @ X12 ) @ 131.10/17.40 ( dpsetconstr @ 131.10/17.40 X4 @ X6 @ ( ^[V_1:$i,V_2:$i]: ( X8 @ V_1 @ V_2 ) ) ) ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(dpsetconstr, axiom,(( dpsetconstr ) = 131.10/17.40 (^[A:$i,B:$i,Xphi:( $i > $i > $o )]: 131.10/17.40 ( dsetconstr @ 131.10/17.40 ( cartprod @ A @ B ) @ 131.10/17.40 ( ^[Xu:$i]: 131.10/17.40 ( ?[Xx:$i]: 131.10/17.40 ( ( ?[Xy:$i]: 131.10/17.40 ( ( ( Xu ) = ( kpair @ Xx @ Xy ) ) & ( Xphi @ Xx @ Xy ) & 131.10/17.40 ( in @ Xy @ B ) ) ) & 131.10/17.40 ( in @ Xx @ A ) ) ) ) )))). 131.10/17.40 thf('4', plain, 131.10/17.40 (( dpsetconstr ) = 131.10/17.40 ( ^[A:$i,B:$i,Xphi:( $i > $i > $o )]: 131.10/17.40 ( dsetconstr @ 131.10/17.40 ( cartprod @ A @ B ) @ 131.10/17.40 ( ^[Xu:$i]: 131.10/17.40 ( ?[Xx:$i]: 131.10/17.40 ( ( ?[Xy:$i]: 131.10/17.40 ( ( ( Xu ) = ( kpair @ Xx @ Xy ) ) & ( Xphi @ Xx @ Xy ) & 131.10/17.40 ( in @ Xy @ B ) ) ) & 131.10/17.40 ( in @ Xx @ A ) ) ) ) ) )), 131.10/17.40 inference('simplify_rw_rule', [status(thm)], [dpsetconstr])). 131.10/17.40 thf('5', plain, 131.10/17.40 (( dpsetconstr ) = 131.10/17.40 ( ^[V_1:$i,V_2:$i,V_3:( $i > $i > $o )]: 131.10/17.40 ( dsetconstr @ 131.10/17.40 ( cartprod @ V_1 @ V_2 ) @ 131.10/17.40 ( ^[V_4:$i]: 131.10/17.40 ( ?[X4:$i]: 131.10/17.40 ( ( ?[X6:$i]: 131.10/17.40 ( ( ( V_4 ) = ( kpair @ X4 @ X6 ) ) & ( V_3 @ X4 @ X6 ) & 131.10/17.40 ( in @ X6 @ V_2 ) ) ) & 131.10/17.40 ( in @ X4 @ V_1 ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(breln, axiom,(( breln ) = 131.10/17.40 (^[A:$i,B:$i,C:$i]: ( subset @ C @ ( cartprod @ A @ B ) )))). 131.10/17.40 thf('6', plain, 131.10/17.40 (( breln ) = ( ^[A:$i,B:$i,C:$i]: ( subset @ C @ ( cartprod @ A @ B ) ) )), 131.10/17.40 inference('simplify_rw_rule', [status(thm)], [breln])). 131.10/17.40 thf('7', plain, 131.10/17.40 (( breln ) = 131.10/17.40 ( ^[V_1:$i,V_2:$i,V_3:$i]: ( subset @ V_3 @ ( cartprod @ V_1 @ V_2 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(cartprodpairsurjEq, axiom, cartprodpairsurjEq = 131.10/17.40 (![A:$i,B:$i,Xu:$i]: 131.10/17.40 ( ( in @ Xu @ ( cartprod @ A @ B ) ) => 131.10/17.40 ( ( kpair @ ( kfst @ Xu ) @ ( ksnd @ Xu ) ) = ( Xu ) ) ))). 131.10/17.40 thf('8', plain, 131.10/17.40 (( cartprodpairsurjEq ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ ( cartprod @ X4 @ X6 ) ) => 131.10/17.40 ( ( kpair @ ( kfst @ X8 ) @ ( ksnd @ X8 ) ) = ( X8 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(cartprodsndpairEq, axiom, cartprodsndpairEq = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( in @ Xx @ A ) => 131.10/17.40 ( ![Xy:$i]: 131.10/17.40 ( ( in @ Xy @ B ) => ( ( ksnd @ ( kpair @ Xx @ Xy ) ) = ( Xy ) ) ) ) ))). 131.10/17.40 thf('9', plain, 131.10/17.40 (( cartprodsndpairEq ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ X4 ) => 131.10/17.40 ( ![X10:$i]: 131.10/17.40 ( ( in @ X10 @ X6 ) => 131.10/17.40 ( ( ksnd @ ( kpair @ X8 @ X10 ) ) = ( X10 ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(cartprodfstpairEq, axiom, cartprodfstpairEq = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( in @ Xx @ A ) => 131.10/17.40 ( ![Xy:$i]: 131.10/17.40 ( ( in @ Xy @ B ) => ( ( kfst @ ( kpair @ Xx @ Xy ) ) = ( Xx ) ) ) ) ))). 131.10/17.40 thf('10', plain, 131.10/17.40 (( cartprodfstpairEq ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ X4 ) => 131.10/17.40 ( ![X10:$i]: 131.10/17.40 ( ( in @ X10 @ X6 ) => 131.10/17.40 ( ( kfst @ ( kpair @ X8 @ X10 ) ) = ( X8 ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(cartprodmempaircEq, axiom, cartprodmempaircEq = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( in @ Xx @ A ) => 131.10/17.40 ( ![Xy:$i]: 131.10/17.40 ( ( in @ Xy @ B ) => ( ( kpair @ Xx @ Xy ) = ( kpair @ Xx @ Xy ) ) ) ) ))). 131.10/17.40 thf('11', plain, 131.10/17.40 (( cartprodmempaircEq ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ X4 ) => 131.10/17.40 ( ![X10:$i]: 131.10/17.40 ( ( in @ X10 @ X6 ) => 131.10/17.40 ( ( kpair @ X8 @ X10 ) = ( kpair @ X8 @ X10 ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(cartprodpairmemER, axiom, cartprodpairmemER = 131.10/17.40 (![A:$i,B:$i,Xx:$i,Xy:$i]: 131.10/17.40 ( ( in @ ( kpair @ Xx @ Xy ) @ ( cartprod @ A @ B ) ) => ( in @ Xy @ B ) ))). 131.10/17.40 thf('12', plain, 131.10/17.40 (( cartprodpairmemER ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i,X10:$i]: 131.10/17.40 ( ( in @ ( kpair @ X8 @ X10 ) @ ( cartprod @ X4 @ X6 ) ) => 131.10/17.40 ( in @ X10 @ X6 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(cartprodpairmemEL, axiom, cartprodpairmemEL = 131.10/17.40 (![A:$i,B:$i,Xx:$i,Xy:$i]: 131.10/17.40 ( ( in @ ( kpair @ Xx @ Xy ) @ ( cartprod @ A @ B ) ) => ( in @ Xx @ A ) ))). 131.10/17.40 thf('13', plain, 131.10/17.40 (( cartprodpairmemEL ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i,X10:$i]: 131.10/17.40 ( ( in @ ( kpair @ X8 @ X10 ) @ ( cartprod @ X4 @ X6 ) ) => 131.10/17.40 ( in @ X8 @ X4 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(cartprodsndin, axiom, cartprodsndin = 131.10/17.40 (![A:$i,B:$i,Xu:$i]: 131.10/17.40 ( ( in @ Xu @ ( cartprod @ A @ B ) ) => ( in @ ( ksnd @ Xu ) @ B ) ))). 131.10/17.40 thf('14', plain, 131.10/17.40 (( cartprodsndin ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ ( cartprod @ X4 @ X6 ) ) => ( in @ ( ksnd @ X8 ) @ X6 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(kpairsurjEq, axiom, kpairsurjEq = 131.10/17.40 (![Xu:$i]: 131.10/17.40 ( ( iskpair @ Xu ) => 131.10/17.40 ( ( kpair @ ( kfst @ Xu ) @ ( ksnd @ Xu ) ) = ( Xu ) ) ))). 131.10/17.40 thf('15', plain, 131.10/17.40 (( kpairsurjEq ) = 131.10/17.40 ( ![X4:$i]: 131.10/17.40 ( ( iskpair @ X4 ) => 131.10/17.40 ( ( kpair @ ( kfst @ X4 ) @ ( ksnd @ X4 ) ) = ( X4 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(ksndpairEq, axiom, ksndpairEq = 131.10/17.40 (![Xx:$i,Xy:$i]: ( ( ksnd @ ( kpair @ Xx @ Xy ) ) = ( Xy ) ))). 131.10/17.40 thf('16', plain, 131.10/17.40 (( ksndpairEq ) = 131.10/17.40 ( ![X4:$i,X6:$i]: ( ( ksnd @ ( kpair @ X4 @ X6 ) ) = ( X6 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(ksndsingleton, axiom, ksndsingleton = 131.10/17.40 (![Xu:$i]: 131.10/17.40 ( ( iskpair @ Xu ) => 131.10/17.40 ( singleton @ 131.10/17.40 ( dsetconstr @ 131.10/17.40 ( setunion @ Xu ) @ 131.10/17.40 ( ^[Xx:$i]: ( ( Xu ) = ( kpair @ ( kfst @ Xu ) @ Xx ) ) ) ) ) ))). 131.10/17.40 thf('17', plain, 131.10/17.40 (( ksndsingleton ) = 131.10/17.40 ( ![X4:$i]: 131.10/17.40 ( ( iskpair @ X4 ) => 131.10/17.40 ( singleton @ 131.10/17.40 ( dsetconstr @ 131.10/17.40 ( setunion @ X4 ) @ 131.10/17.40 ( ^[V_1:$i]: ( ( X4 ) = ( kpair @ ( kfst @ X4 ) @ V_1 ) ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setukpairinjR, axiom, setukpairinjR = 131.10/17.40 (![Xx:$i,Xy:$i,Xz:$i,Xu:$i]: 131.10/17.40 ( ( ( kpair @ Xx @ Xy ) = ( kpair @ Xz @ Xu ) ) => ( ( Xy ) = ( Xu ) ) ))). 131.10/17.40 thf('18', plain, 131.10/17.40 (( setukpairinjR ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i,X10:$i]: 131.10/17.40 ( ( ( kpair @ X4 @ X6 ) = ( kpair @ X8 @ X10 ) ) => 131.10/17.40 ( ( X6 ) = ( X10 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setukpairinjR2, axiom, setukpairinjR2 = 131.10/17.40 (![Xx:$i,Xy:$i,Xz:$i,Xu:$i]: 131.10/17.40 ( ( ( setadjoin @ 131.10/17.40 ( setadjoin @ Xx @ emptyset ) @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) = 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ Xz @ emptyset ) @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ Xz @ ( setadjoin @ Xu @ emptyset ) ) @ emptyset ) ) ) => 131.10/17.40 ( ( Xy ) = ( Xu ) ) ))). 131.10/17.40 thf('19', plain, 131.10/17.40 (( setukpairinjR2 ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i,X10:$i]: 131.10/17.40 ( ( ( setadjoin @ 131.10/17.40 ( setadjoin @ X4 @ emptyset ) @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) = 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ X8 @ emptyset ) @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) ) ) => 131.10/17.40 ( ( X6 ) = ( X10 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(upairequniteq, axiom, upairequniteq = 131.10/17.40 (![Xx:$i,Xy:$i,Xz:$i]: 131.10/17.40 ( ( ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) = 131.10/17.40 ( setadjoin @ Xz @ emptyset ) ) => 131.10/17.40 ( ( Xx ) = ( Xy ) ) ))). 131.10/17.40 thf('20', plain, 131.10/17.40 (( upairequniteq ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) = 131.10/17.40 ( setadjoin @ X8 @ emptyset ) ) => 131.10/17.40 ( ( X4 ) = ( X6 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setukpairinjR1, axiom, setukpairinjR1 = 131.10/17.40 (![Xx:$i,Xy:$i,Xz:$i,Xu:$i]: 131.10/17.40 ( ( ( setadjoin @ 131.10/17.40 ( setadjoin @ Xx @ emptyset ) @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) = 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ Xz @ emptyset ) @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ Xz @ ( setadjoin @ Xu @ emptyset ) ) @ emptyset ) ) ) => 131.10/17.40 ( ( ( Xz ) = ( Xu ) ) => ( ( Xy ) = ( Xu ) ) ) ))). 131.10/17.40 thf('21', plain, 131.10/17.40 (( setukpairinjR1 ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i,X10:$i]: 131.10/17.40 ( ( ( setadjoin @ 131.10/17.40 ( setadjoin @ X4 @ emptyset ) @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) = 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ X8 @ emptyset ) @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) ) ) => 131.10/17.40 ( ( ( X8 ) = ( X10 ) ) => ( ( X6 ) = ( X10 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setukpairinjR12, axiom, setukpairinjR12 = 131.10/17.40 (![Xx:$i,Xy:$i]: 131.10/17.40 ( ( ( Xx ) = ( Xy ) ) => 131.10/17.40 ( ( setadjoin @ 131.10/17.40 ( setadjoin @ Xx @ emptyset ) @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) = 131.10/17.40 ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ emptyset ) ) ))). 131.10/17.40 thf('22', plain, 131.10/17.40 (( setukpairinjR12 ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( ( X4 ) = ( X6 ) ) => 131.10/17.40 ( ( setadjoin @ 131.10/17.40 ( setadjoin @ X4 @ emptyset ) @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) = 131.10/17.40 ( setadjoin @ ( setadjoin @ X4 @ emptyset ) @ emptyset ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setukpairinjR11, axiom, setukpairinjR11 = 131.10/17.40 (![Xx:$i,Xy:$i]: 131.10/17.40 ( ( ( Xx ) = ( Xy ) ) => 131.10/17.40 ( ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) = 131.10/17.40 ( setadjoin @ Xx @ emptyset ) ) ))). 131.10/17.40 thf('23', plain, 131.10/17.40 (( setukpairinjR11 ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( ( X4 ) = ( X6 ) ) => 131.10/17.40 ( ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) = 131.10/17.40 ( setadjoin @ X4 @ emptyset ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setukpairinjL, axiom, setukpairinjL = 131.10/17.40 (![Xx:$i,Xy:$i,Xz:$i,Xu:$i]: 131.10/17.40 ( ( ( kpair @ Xx @ Xy ) = ( kpair @ Xz @ Xu ) ) => ( ( Xx ) = ( Xz ) ) ))). 131.10/17.40 thf('24', plain, 131.10/17.40 (( setukpairinjL ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i,X10:$i]: 131.10/17.40 ( ( ( kpair @ X4 @ X6 ) = ( kpair @ X8 @ X10 ) ) => 131.10/17.40 ( ( X4 ) = ( X8 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setukpairinjL2, axiom, setukpairinjL2 = 131.10/17.40 (![Xx:$i,Xy:$i,Xz:$i,Xu:$i]: 131.10/17.40 ( ( ( setadjoin @ 131.10/17.40 ( setadjoin @ Xx @ emptyset ) @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) = 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ Xz @ emptyset ) @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ Xz @ ( setadjoin @ Xu @ emptyset ) ) @ emptyset ) ) ) => 131.10/17.40 ( ( Xx ) = ( Xz ) ) ))). 131.10/17.40 thf('25', plain, 131.10/17.40 (( setukpairinjL2 ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i,X10:$i]: 131.10/17.40 ( ( ( setadjoin @ 131.10/17.40 ( setadjoin @ X4 @ emptyset ) @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) = 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ X8 @ emptyset ) @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) ) ) => 131.10/17.40 ( ( X4 ) = ( X8 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(cartprodfstin, axiom, cartprodfstin = 131.10/17.40 (![A:$i,B:$i,Xu:$i]: 131.10/17.40 ( ( in @ Xu @ ( cartprod @ A @ B ) ) => ( in @ ( kfst @ Xu ) @ A ) ))). 131.10/17.40 thf('26', plain, 131.10/17.40 (( cartprodfstin ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ ( cartprod @ X4 @ X6 ) ) => ( in @ ( kfst @ X8 ) @ X4 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(kfstpairEq, axiom, kfstpairEq = 131.10/17.40 (![Xx:$i,Xy:$i]: ( ( kfst @ ( kpair @ Xx @ Xy ) ) = ( Xx ) ))). 131.10/17.40 thf('27', plain, 131.10/17.40 (( kfstpairEq ) = 131.10/17.40 ( ![X4:$i,X6:$i]: ( ( kfst @ ( kpair @ X4 @ X6 ) ) = ( X4 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(theprop, axiom, theprop = 131.10/17.40 (![X:$i]: ( ( singleton @ X ) => ( in @ ( setunion @ X ) @ X ) ))). 131.10/17.40 thf('28', plain, 131.10/17.40 (( theprop ) = 131.10/17.40 ( ![X4:$i]: ( ( singleton @ X4 ) => ( in @ ( setunion @ X4 ) @ X4 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(kfstsingleton, axiom, kfstsingleton = 131.10/17.40 (![Xu:$i]: 131.10/17.40 ( ( iskpair @ Xu ) => 131.10/17.40 ( singleton @ 131.10/17.40 ( dsetconstr @ 131.10/17.40 ( setunion @ Xu ) @ 131.10/17.40 ( ^[Xx:$i]: ( in @ ( setadjoin @ Xx @ emptyset ) @ Xu ) ) ) ) ))). 131.10/17.40 thf('29', plain, 131.10/17.40 (( kfstsingleton ) = 131.10/17.40 ( ![X4:$i]: 131.10/17.40 ( ( iskpair @ X4 ) => 131.10/17.40 ( singleton @ 131.10/17.40 ( dsetconstr @ 131.10/17.40 ( setunion @ X4 ) @ 131.10/17.40 ( ^[V_1:$i]: ( in @ ( setadjoin @ V_1 @ emptyset ) @ X4 ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setukpairinjL1, axiom, setukpairinjL1 = 131.10/17.40 (![Xx:$i,Xy:$i,Xz:$i]: 131.10/17.40 ( ( in @ 131.10/17.40 ( setadjoin @ Xz @ emptyset ) @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ Xx @ emptyset ) @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) => 131.10/17.40 ( ( Xx ) = ( Xz ) ) ))). 131.10/17.40 thf('30', plain, 131.10/17.40 (( setukpairinjL1 ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ 131.10/17.40 ( setadjoin @ X8 @ emptyset ) @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ X4 @ emptyset ) @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) ) => 131.10/17.40 ( ( X4 ) = ( X8 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(singletonsuniq, axiom, singletonsuniq = 131.10/17.40 (![Xx:$i,Xy:$i]: 131.10/17.40 ( ( ( setadjoin @ Xx @ emptyset ) = ( setadjoin @ Xy @ emptyset ) ) => 131.10/17.40 ( ( Xx ) = ( Xy ) ) ))). 131.10/17.40 thf('31', plain, 131.10/17.40 (( singletonsuniq ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( ( setadjoin @ X4 @ emptyset ) = ( setadjoin @ X6 @ emptyset ) ) => 131.10/17.40 ( ( X4 ) = ( X6 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(ex1I2, axiom, ex1I2 = 131.10/17.40 (![A:$i,Xphi:( $i > $o )]: 131.10/17.40 ( ( ![Xx:$i]: 131.10/17.40 ( ( in @ Xx @ A ) => 131.10/17.40 ( ![Xy:$i]: 131.10/17.40 ( ( in @ Xy @ A ) => 131.10/17.40 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) ) ) ) => 131.10/17.40 ( ( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) => 131.10/17.40 ( ex1 @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ) ))). 131.10/17.40 thf('32', plain, 131.10/17.40 (( ex1I2 ) = 131.10/17.40 ( ![X4:$i,X6:( $i > $o )]: 131.10/17.40 ( ( ![X8:$i]: 131.10/17.40 ( ( in @ X8 @ X4 ) => 131.10/17.40 ( ![X10:$i]: 131.10/17.40 ( ( in @ X10 @ X4 ) => 131.10/17.40 ( ( X6 @ X8 ) => ( ( X6 @ X10 ) => ( ( X8 ) = ( X10 ) ) ) ) ) ) ) ) => 131.10/17.40 ( ( ?[X12:$i]: ( ( X6 @ X12 ) & ( in @ X12 @ X4 ) ) ) => 131.10/17.40 ( ex1 @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(ex1I, axiom, ex1I = 131.10/17.40 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 131.10/17.40 ( ( in @ Xx @ A ) => 131.10/17.40 ( ( Xphi @ Xx ) => 131.10/17.40 ( ( ![Xy:$i]: 131.10/17.40 ( ( in @ Xy @ A ) => ( ( Xphi @ Xy ) => ( ( Xy ) = ( Xx ) ) ) ) ) => 131.10/17.40 ( ex1 @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) ) ))). 131.10/17.40 thf('33', plain, 131.10/17.40 (( ex1I ) = 131.10/17.40 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 131.10/17.40 ( ( in @ X8 @ X4 ) => 131.10/17.40 ( ( X6 @ X8 ) => 131.10/17.40 ( ( ![X10:$i]: 131.10/17.40 ( ( in @ X10 @ X4 ) => 131.10/17.40 ( ( X6 @ X10 ) => ( ( X10 ) = ( X8 ) ) ) ) ) => 131.10/17.40 ( ex1 @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(ex1E1, axiom, ex1E1 = 131.10/17.40 (![A:$i,Xphi:( $i > $o )]: 131.10/17.40 ( ( ex1 @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 131.10/17.40 ( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ))). 131.10/17.40 thf('34', plain, 131.10/17.40 (( ex1E1 ) = 131.10/17.40 ( ![X4:$i,X6:( $i > $o )]: 131.10/17.40 ( ( ex1 @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) => 131.10/17.40 ( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(ex1, axiom,(( ex1 ) = 131.10/17.40 (^[A:$i,Xphi:( $i > $o )]: 131.10/17.40 ( singleton @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) )))). 131.10/17.40 thf(singleton, axiom,(( singleton ) = 131.10/17.40 (^[A:$i]: 131.10/17.40 ( ?[Xx:$i]: 131.10/17.40 ( ( ( A ) = ( setadjoin @ Xx @ emptyset ) ) & ( in @ Xx @ A ) ) )))). 131.10/17.40 thf('35', plain, 131.10/17.40 (( singleton ) = 131.10/17.40 ( ^[A:$i]: 131.10/17.40 ( ?[Xx:$i]: 131.10/17.40 ( ( ( A ) = ( setadjoin @ Xx @ emptyset ) ) & ( in @ Xx @ A ) ) ) )), 131.10/17.40 inference('simplify_rw_rule', [status(thm)], [singleton])). 131.10/17.40 thf('36', plain, 131.10/17.40 (( singleton ) = 131.10/17.40 ( ^[V_1:$i]: 131.10/17.40 ( ?[X4:$i]: 131.10/17.40 ( ( ( V_1 ) = ( setadjoin @ X4 @ emptyset ) ) & ( in @ X4 @ V_1 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf('37', plain, 131.10/17.40 (( ex1 ) = 131.10/17.40 ( ^[A:$i,Xphi:( $i > $o )]: 131.10/17.40 ( singleton @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ) )), 131.10/17.40 inference('simplify_rw_rule', [status(thm)], [ex1, '36'])). 131.10/17.40 thf('38', plain, 131.10/17.40 (( ex1 ) = 131.10/17.40 ( ^[V_1:$i,V_2:( $i > $o )]: 131.10/17.40 ( singleton @ ( dsetconstr @ V_1 @ ( ^[V_3:$i]: ( V_2 @ V_3 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(singletonprop, axiom, singletonprop = 131.10/17.40 (![A:$i,Xphi:( $i > $o )]: 131.10/17.40 ( ( ![Xx:$i]: 131.10/17.40 ( ( in @ Xx @ A ) => 131.10/17.40 ( ![Xy:$i]: 131.10/17.40 ( ( in @ Xy @ A ) => 131.10/17.40 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) ) ) ) => 131.10/17.40 ( ( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) => 131.10/17.40 ( singleton @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ) ) ))). 131.10/17.40 thf('39', plain, 131.10/17.40 (( singletonprop ) = 131.10/17.40 ( ![X4:$i,X6:( $i > $o )]: 131.10/17.40 ( ( ![X8:$i]: 131.10/17.40 ( ( in @ X8 @ X4 ) => 131.10/17.40 ( ![X10:$i]: 131.10/17.40 ( ( in @ X10 @ X4 ) => 131.10/17.40 ( ( X6 @ X8 ) => ( ( X6 @ X10 ) => ( ( X8 ) = ( X10 ) ) ) ) ) ) ) ) => 131.10/17.40 ( ( ?[X12:$i]: ( ( X6 @ X12 ) & ( in @ X12 @ X4 ) ) ) => 131.10/17.40 ( singleton @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setunionsingleton, axiom, setunionsingleton = 131.10/17.40 (![Xx:$i]: ( ( setunion @ ( setadjoin @ Xx @ emptyset ) ) = ( Xx ) ))). 131.10/17.40 thf('40', plain, 131.10/17.40 (( setunionsingleton ) = 131.10/17.40 ( ![X4:$i]: ( ( setunion @ ( setadjoin @ X4 @ emptyset ) ) = ( X4 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setunionsingleton2, axiom, setunionsingleton2 = 131.10/17.40 (![A:$i]: ( subset @ A @ ( setunion @ ( setadjoin @ A @ emptyset ) ) ))). 131.10/17.40 thf('41', plain, 131.10/17.40 (( setunionsingleton2 ) = 131.10/17.40 ( ![X4:$i]: 131.10/17.40 ( subset @ X4 @ ( setunion @ ( setadjoin @ X4 @ emptyset ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setunionsingleton1, axiom, setunionsingleton1 = 131.10/17.40 (![A:$i]: ( subset @ ( setunion @ ( setadjoin @ A @ emptyset ) ) @ A ))). 131.10/17.40 thf('42', plain, 131.10/17.40 (( setunionsingleton1 ) = 131.10/17.40 ( ![X4:$i]: 131.10/17.40 ( subset @ ( setunion @ ( setadjoin @ X4 @ emptyset ) ) @ X4 ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setunionE2, axiom, setunionE2 = 131.10/17.40 (![A:$i,Xx:$i]: 131.10/17.40 ( ( in @ Xx @ ( setunion @ A ) ) => 131.10/17.40 ( ?[X:$i]: ( ( in @ Xx @ X ) & ( in @ X @ A ) ) ) ))). 131.10/17.40 thf('43', plain, 131.10/17.40 (( setunionE2 ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( in @ X6 @ ( setunion @ X4 ) ) => 131.10/17.40 ( ?[X8:$i]: ( ( in @ X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(cartprodmempair, axiom, cartprodmempair = 131.10/17.40 (![A:$i,B:$i,Xu:$i]: 131.10/17.40 ( ( in @ Xu @ ( cartprod @ A @ B ) ) => ( iskpair @ Xu ) ))). 131.10/17.40 thf('44', plain, 131.10/17.40 (( cartprodmempair ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ ( cartprod @ X4 @ X6 ) ) => ( iskpair @ X8 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(cartprodmempair1, axiom, cartprodmempair1 = 131.10/17.40 (![A:$i,B:$i,Xu:$i]: 131.10/17.40 ( ( in @ Xu @ ( cartprod @ A @ B ) ) => 131.10/17.40 ( ?[Xx:$i]: 131.10/17.40 ( ( ?[Xy:$i]: ( ( ( Xu ) = ( kpair @ Xx @ Xy ) ) & ( in @ Xy @ B ) ) ) & 131.10/17.40 ( in @ Xx @ A ) ) ) ))). 131.10/17.40 thf('45', plain, 131.10/17.40 (( cartprodmempair1 ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ ( cartprod @ X4 @ X6 ) ) => 131.10/17.40 ( ?[X10:$i]: 131.10/17.40 ( ( ?[X12:$i]: 131.10/17.40 ( ( ( X8 ) = ( kpair @ X10 @ X12 ) ) & ( in @ X12 @ X6 ) ) ) & 131.10/17.40 ( in @ X10 @ X4 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(cartprodpairin, axiom, cartprodpairin = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( in @ Xx @ A ) => 131.10/17.40 ( ![Xy:$i]: 131.10/17.40 ( ( in @ Xy @ B ) => 131.10/17.40 ( in @ ( kpair @ Xx @ Xy ) @ ( cartprod @ A @ B ) ) ) ) ))). 131.10/17.40 thf('46', plain, 131.10/17.40 (( cartprodpairin ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ X4 ) => 131.10/17.40 ( ![X10:$i]: 131.10/17.40 ( ( in @ X10 @ X6 ) => 131.10/17.40 ( in @ ( kpair @ X8 @ X10 ) @ ( cartprod @ X4 @ X6 ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(ubforcartprodlem3, axiom, ubforcartprodlem3 = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( in @ Xx @ A ) => 131.10/17.40 ( ![Xy:$i]: 131.10/17.40 ( ( in @ Xy @ B ) => 131.10/17.40 ( in @ 131.10/17.40 ( kpair @ Xx @ Xy ) @ 131.10/17.40 ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ))). 131.10/17.40 thf('47', plain, 131.10/17.40 (( ubforcartprodlem3 ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ X4 ) => 131.10/17.40 ( ![X10:$i]: 131.10/17.40 ( ( in @ X10 @ X6 ) => 131.10/17.40 ( in @ 131.10/17.40 ( kpair @ X8 @ X10 ) @ 131.10/17.40 ( powerset @ ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(ubforcartprodlem2, axiom, ubforcartprodlem2 = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( in @ Xx @ A ) => 131.10/17.40 ( ![Xy:$i]: 131.10/17.40 ( ( in @ Xy @ B ) => 131.10/17.40 ( in @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ Xx @ emptyset ) @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) @ 131.10/17.40 ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ))). 131.10/17.40 thf('48', plain, 131.10/17.40 (( ubforcartprodlem2 ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ X4 ) => 131.10/17.40 ( ![X10:$i]: 131.10/17.40 ( ( in @ X10 @ X6 ) => 131.10/17.40 ( in @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ X8 @ emptyset ) @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 131.10/17.40 emptyset ) ) @ 131.10/17.40 ( powerset @ ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(ubforcartprodlem1, axiom, ubforcartprodlem1 = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( in @ Xx @ A ) => 131.10/17.40 ( ![Xy:$i]: 131.10/17.40 ( ( in @ Xy @ B ) => 131.10/17.40 ( subset @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ Xx @ emptyset ) @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) @ 131.10/17.40 ( powerset @ ( binunion @ A @ B ) ) ) ) ) ))). 131.10/17.40 thf('49', plain, 131.10/17.40 (( ubforcartprodlem1 ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ X4 ) => 131.10/17.40 ( ![X10:$i]: 131.10/17.40 ( ( in @ X10 @ X6 ) => 131.10/17.40 ( subset @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ X8 @ emptyset ) @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 131.10/17.40 emptyset ) ) @ 131.10/17.40 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(upairinpowunion, axiom, upairinpowunion = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( in @ Xx @ A ) => 131.10/17.40 ( ![Xy:$i]: 131.10/17.40 ( ( in @ Xy @ B ) => 131.10/17.40 ( in @ 131.10/17.40 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ 131.10/17.40 ( powerset @ ( binunion @ A @ B ) ) ) ) ) ))). 131.10/17.40 thf('50', plain, 131.10/17.40 (( upairinpowunion ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ X4 ) => 131.10/17.40 ( ![X10:$i]: 131.10/17.40 ( ( in @ X10 @ X6 ) => 131.10/17.40 ( in @ 131.10/17.40 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 131.10/17.40 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(upairsubunion, axiom, upairsubunion = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( in @ Xx @ A ) => 131.10/17.40 ( ![Xy:$i]: 131.10/17.40 ( ( in @ Xy @ B ) => 131.10/17.40 ( subset @ 131.10/17.40 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ 131.10/17.40 ( binunion @ A @ B ) ) ) ) ))). 131.10/17.40 thf('51', plain, 131.10/17.40 (( upairsubunion ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ X4 ) => 131.10/17.40 ( ![X10:$i]: 131.10/17.40 ( ( in @ X10 @ X6 ) => 131.10/17.40 ( subset @ 131.10/17.40 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 131.10/17.40 ( binunion @ X4 @ X6 ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(upairset2E, axiom, upairset2E = 131.10/17.40 (![Xx:$i,Xy:$i,Xz:$i]: 131.10/17.40 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) => 131.10/17.40 ( ( ( Xz ) = ( Xx ) ) | ( ( Xz ) = ( Xy ) ) ) ))). 131.10/17.40 thf('52', plain, 131.10/17.40 (( upairset2E ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) => 131.10/17.40 ( ( ( X8 ) = ( X4 ) ) | ( ( X8 ) = ( X6 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(singletoninpowunion, axiom, singletoninpowunion = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( in @ Xx @ A ) => 131.10/17.40 ( in @ 131.10/17.40 ( setadjoin @ Xx @ emptyset ) @ ( powerset @ ( binunion @ A @ B ) ) ) ))). 131.10/17.40 thf('53', plain, 131.10/17.40 (( singletoninpowunion ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ X4 ) => 131.10/17.40 ( in @ 131.10/17.40 ( setadjoin @ X8 @ emptyset ) @ 131.10/17.40 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(singletoninpowerset, axiom, singletoninpowerset = 131.10/17.40 (![A:$i,Xx:$i]: 131.10/17.40 ( ( in @ Xx @ A ) => 131.10/17.40 ( in @ ( setadjoin @ Xx @ emptyset ) @ ( powerset @ A ) ) ))). 131.10/17.40 thf('54', plain, 131.10/17.40 (( singletoninpowerset ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( in @ X6 @ X4 ) => 131.10/17.40 ( in @ ( setadjoin @ X6 @ emptyset ) @ ( powerset @ X4 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(singletonsubset, axiom, singletonsubset = 131.10/17.40 (![A:$i,Xx:$i]: 131.10/17.40 ( ( in @ Xx @ A ) => ( subset @ ( setadjoin @ Xx @ emptyset ) @ A ) ))). 131.10/17.40 thf('55', plain, 131.10/17.40 (( singletonsubset ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( in @ X6 @ X4 ) => ( subset @ ( setadjoin @ X6 @ emptyset ) @ X4 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(kpairp, axiom, kpairp = 131.10/17.40 (![Xx:$i,Xy:$i]: ( iskpair @ ( kpair @ Xx @ Xy ) ))). 131.10/17.40 thf('56', plain, 131.10/17.40 (( kpairp ) = ( ![X4:$i,X6:$i]: ( iskpair @ ( kpair @ X4 @ X6 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(kpairiskpair, axiom, kpairiskpair = 131.10/17.40 (![Xx:$i,Xy:$i]: 131.10/17.40 ( iskpair @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ Xx @ emptyset ) @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ))). 131.10/17.40 thf('57', plain, 131.10/17.40 (( kpairiskpair ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( iskpair @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ X4 @ emptyset ) @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setukpairIR, axiom, setukpairIR = 131.10/17.40 (![Xx:$i,Xy:$i]: 131.10/17.40 ( in @ 131.10/17.40 Xy @ 131.10/17.40 ( setunion @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ Xx @ emptyset ) @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ))). 131.10/17.40 thf('58', plain, 131.10/17.40 (( setukpairIR ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( in @ 131.10/17.40 X6 @ 131.10/17.40 ( setunion @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ X4 @ emptyset ) @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setukpairIL, axiom, setukpairIL = 131.10/17.40 (![Xx:$i,Xy:$i]: 131.10/17.40 ( in @ 131.10/17.40 Xx @ 131.10/17.40 ( setunion @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ Xx @ emptyset ) @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ))). 131.10/17.40 thf('59', plain, 131.10/17.40 (( setukpairIL ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( in @ 131.10/17.40 X4 @ 131.10/17.40 ( setunion @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ X4 @ emptyset ) @ 131.10/17.40 ( setadjoin @ 131.10/17.40 ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(secondinupair, axiom, secondinupair = 131.10/17.40 (![Xx:$i,Xy:$i]: 131.10/17.40 ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 131.10/17.40 thf('60', plain, 131.10/17.40 (( secondinupair ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(symdiffIneg2, axiom, symdiffIneg2 = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( ~( in @ Xx @ A ) ) => 131.10/17.40 ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ ( symdiff @ A @ B ) ) ) ) ))). 131.10/17.40 thf('61', plain, 131.10/17.40 (( symdiffIneg2 ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( ~( in @ X8 @ X4 ) ) => 131.10/17.40 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ ( symdiff @ X4 @ X6 ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(symdiffIneg1, axiom, symdiffIneg1 = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( in @ Xx @ A ) => 131.10/17.40 ( ( in @ Xx @ B ) => ( ~( in @ Xx @ ( symdiff @ A @ B ) ) ) ) ))). 131.10/17.40 thf('62', plain, 131.10/17.40 (( symdiffIneg1 ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ X4 ) => 131.10/17.40 ( ( in @ X8 @ X6 ) => ( ~( in @ X8 @ ( symdiff @ X4 @ X6 ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(symdiffI2, axiom, symdiffI2 = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( ~( in @ Xx @ A ) ) => 131.10/17.40 ( ( in @ Xx @ B ) => ( in @ Xx @ ( symdiff @ A @ B ) ) ) ))). 131.10/17.40 thf('63', plain, 131.10/17.40 (( symdiffI2 ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( ~( in @ X8 @ X4 ) ) => 131.10/17.40 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( symdiff @ X4 @ X6 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(symdiffI1, axiom, symdiffI1 = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( in @ Xx @ A ) => 131.10/17.40 ( ( ~( in @ Xx @ B ) ) => ( in @ Xx @ ( symdiff @ A @ B ) ) ) ))). 131.10/17.40 thf('64', plain, 131.10/17.40 (( symdiffI1 ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ X4 ) => 131.10/17.40 ( ( ~( in @ X8 @ X6 ) ) => ( in @ X8 @ ( symdiff @ X4 @ X6 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(symdiffE, axiom, symdiffE = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( in @ Xx @ ( symdiff @ A @ B ) ) => 131.10/17.40 ( ![Xphi:$o]: 131.10/17.40 ( ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( Xphi ) ) ) => 131.10/17.40 ( ( ( ~( in @ Xx @ A ) ) => ( ( in @ Xx @ B ) => ( Xphi ) ) ) => 131.10/17.40 ( Xphi ) ) ) ) ))). 131.10/17.40 thf('65', plain, 131.10/17.40 (( symdiffE ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ ( symdiff @ X4 @ X6 ) ) => 131.10/17.40 ( ![X10:$o]: 131.10/17.40 ( ( ( in @ X8 @ X4 ) => ( ( ~( in @ X8 @ X6 ) ) => ( X10 ) ) ) => 131.10/17.40 ( ( ( ~( in @ X8 @ X4 ) ) => ( ( in @ X8 @ X6 ) => ( X10 ) ) ) => 131.10/17.40 ( X10 ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setminusSubset1, axiom, setminusSubset1 = 131.10/17.40 (![A:$i,B:$i]: 131.10/17.40 ( ( ( setminus @ A @ B ) = ( emptyset ) ) => ( subset @ A @ B ) ))). 131.10/17.40 thf('66', plain, 131.10/17.40 (( setminusSubset1 ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( ( setminus @ X4 @ X6 ) = ( emptyset ) ) => ( subset @ X4 @ X6 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setminusLsub, axiom, setminusLsub = 131.10/17.40 (![A:$i,B:$i]: ( subset @ ( setminus @ A @ B ) @ A ))). 131.10/17.40 thf('67', plain, 131.10/17.40 (( setminusLsub ) = 131.10/17.40 ( ![X4:$i,X6:$i]: ( subset @ ( setminus @ X4 @ X6 ) @ X4 ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setminusIRneg, axiom, setminusIRneg = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( in @ Xx @ B ) => ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 131.10/17.40 thf('68', plain, 131.10/17.40 (( setminusIRneg ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ X6 ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setminusILneg, axiom, setminusILneg = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( ~( in @ Xx @ A ) ) => ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 131.10/17.40 thf('69', plain, 131.10/17.40 (( setminusILneg ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( ~( in @ X8 @ X4 ) ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setminusELneg, axiom, setminusELneg = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) => 131.10/17.40 ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))). 131.10/17.40 thf('70', plain, 131.10/17.40 (( setminusELneg ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => 131.10/17.40 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setminusERneg, axiom, setminusERneg = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) => 131.10/17.40 ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))). 131.10/17.40 thf('71', plain, 131.10/17.40 (( setminusERneg ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => 131.10/17.40 ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setminusSubset2, axiom, setminusSubset2 = 131.10/17.40 (![A:$i,B:$i]: 131.10/17.40 ( ( subset @ A @ B ) => ( ( setminus @ A @ B ) = ( emptyset ) ) ))). 131.10/17.40 thf('72', plain, 131.10/17.40 (( setminusSubset2 ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( subset @ X4 @ X6 ) => ( ( setminus @ X4 @ X6 ) = ( emptyset ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setminusER, axiom, setminusER = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( in @ Xx @ ( setminus @ A @ B ) ) => ( ~( in @ Xx @ B ) ) ))). 131.10/17.40 thf('73', plain, 131.10/17.40 (( setminusER ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ ( setminus @ X4 @ X6 ) ) => ( ~( in @ X8 @ X6 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setminusEL, axiom, setminusEL = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( in @ Xx @ ( setminus @ A @ B ) ) => ( in @ Xx @ A ) ))). 131.10/17.40 thf('74', plain, 131.10/17.40 (( setminusEL ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ ( setminus @ X4 @ X6 ) ) => ( in @ X8 @ X4 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setminusI, axiom, setminusI = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( in @ Xx @ A ) => 131.10/17.40 ( ( ~( in @ Xx @ B ) ) => ( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 131.10/17.40 thf('75', plain, 131.10/17.40 (( setminusI ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ X4 ) => 131.10/17.40 ( ( ~( in @ X8 @ X6 ) ) => ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(bs114d, axiom, bs114d = 131.10/17.40 (![A:$i,B:$i,C:$i]: 131.10/17.40 ( ( binintersect @ A @ ( binunion @ B @ C ) ) = 131.10/17.40 ( binunion @ ( binintersect @ A @ B ) @ ( binintersect @ A @ C ) ) ))). 131.10/17.40 thf('76', plain, 131.10/17.40 (( bs114d ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( binintersect @ X4 @ ( binunion @ X6 @ X8 ) ) = 131.10/17.40 ( binunion @ ( binintersect @ X4 @ X6 ) @ ( binintersect @ X4 @ X8 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(binintersectSubset1, axiom, binintersectSubset1 = 131.10/17.40 (![A:$i,B:$i]: 131.10/17.40 ( ( ( binintersect @ A @ B ) = ( A ) ) => ( subset @ A @ B ) ))). 131.10/17.40 thf('77', plain, 131.10/17.40 (( binintersectSubset1 ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( ( binintersect @ X4 @ X6 ) = ( X4 ) ) => ( subset @ X4 @ X6 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(binintersectSubset4, axiom, binintersectSubset4 = 131.10/17.40 (![A:$i,B:$i]: 131.10/17.40 ( ( subset @ B @ A ) => ( ( binintersect @ A @ B ) = ( B ) ) ))). 131.10/17.40 thf('78', plain, 131.10/17.40 (( binintersectSubset4 ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( subset @ X6 @ X4 ) => ( ( binintersect @ X4 @ X6 ) = ( X6 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(binintersectRsub, axiom, binintersectRsub = 131.10/17.40 (![A:$i,B:$i]: ( subset @ ( binintersect @ A @ B ) @ B ))). 131.10/17.40 thf('79', plain, 131.10/17.40 (( binintersectRsub ) = 131.10/17.40 ( ![X4:$i,X6:$i]: ( subset @ ( binintersect @ X4 @ X6 ) @ X6 ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(disjointsetsI1, axiom, disjointsetsI1 = 131.10/17.40 (![A:$i,B:$i]: 131.10/17.40 ( ( ~( ?[Xx:$i]: ( ( in @ Xx @ B ) & ( in @ Xx @ A ) ) ) ) => 131.10/17.40 ( ( binintersect @ A @ B ) = ( emptyset ) ) ))). 131.10/17.40 thf('80', plain, 131.10/17.40 (( disjointsetsI1 ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( ~( ?[X8:$i]: ( ( in @ X8 @ X6 ) & ( in @ X8 @ X4 ) ) ) ) => 131.10/17.40 ( ( binintersect @ X4 @ X6 ) = ( emptyset ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(binintersectER, axiom, binintersectER = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( in @ Xx @ ( binintersect @ A @ B ) ) => ( in @ Xx @ B ) ))). 131.10/17.40 thf('81', plain, 131.10/17.40 (( binintersectER ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) => ( in @ X8 @ X6 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(binintersectSubset3, axiom, binintersectSubset3 = 131.10/17.40 (![A:$i,B:$i]: 131.10/17.40 ( ( ( binintersect @ A @ B ) = ( B ) ) => ( subset @ B @ A ) ))). 131.10/17.40 thf('82', plain, 131.10/17.40 (( binintersectSubset3 ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( ( binintersect @ X4 @ X6 ) = ( X6 ) ) => ( subset @ X6 @ X4 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(binintersectSubset2, axiom, binintersectSubset2 = 131.10/17.40 (![A:$i,B:$i]: 131.10/17.40 ( ( subset @ A @ B ) => ( ( binintersect @ A @ B ) = ( A ) ) ))). 131.10/17.40 thf('83', plain, 131.10/17.40 (( binintersectSubset2 ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( subset @ X4 @ X6 ) => ( ( binintersect @ X4 @ X6 ) = ( X4 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(binintersectLsub, axiom, binintersectLsub = 131.10/17.40 (![A:$i,B:$i]: ( subset @ ( binintersect @ A @ B ) @ A ))). 131.10/17.40 thf('84', plain, 131.10/17.40 (( binintersectLsub ) = 131.10/17.40 ( ![X4:$i,X6:$i]: ( subset @ ( binintersect @ X4 @ X6 ) @ X4 ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(binintersectEL, axiom, binintersectEL = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( in @ Xx @ ( binintersect @ A @ B ) ) => ( in @ Xx @ A ) ))). 131.10/17.40 thf('85', plain, 131.10/17.40 (( binintersectEL ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) => ( in @ X8 @ X4 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(binintersectSubset5, axiom, binintersectSubset5 = 131.10/17.40 (![A:$i,B:$i,C:$i]: 131.10/17.40 ( ( subset @ C @ A ) => 131.10/17.40 ( ( subset @ C @ B ) => ( subset @ C @ ( binintersect @ A @ B ) ) ) ))). 131.10/17.40 thf('86', plain, 131.10/17.40 (( binintersectSubset5 ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( subset @ X8 @ X4 ) => 131.10/17.40 ( ( subset @ X8 @ X6 ) => 131.10/17.40 ( subset @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(binintersectI, axiom, binintersectI = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( in @ Xx @ A ) => 131.10/17.40 ( ( in @ Xx @ B ) => ( in @ Xx @ ( binintersect @ A @ B ) ) ) ))). 131.10/17.40 thf('87', plain, 131.10/17.40 (( binintersectI ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ X4 ) => 131.10/17.40 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(binunionRsub, axiom, binunionRsub = 131.10/17.40 (![A:$i,B:$i]: ( subset @ B @ ( binunion @ A @ B ) ))). 131.10/17.40 thf('88', plain, 131.10/17.40 (( binunionRsub ) = 131.10/17.40 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( binunion @ X4 @ X6 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(binunionLsub, axiom, binunionLsub = 131.10/17.40 (![A:$i,B:$i]: ( subset @ A @ ( binunion @ A @ B ) ))). 131.10/17.40 thf('89', plain, 131.10/17.40 (( binunionLsub ) = 131.10/17.40 ( ![X4:$i,X6:$i]: ( subset @ X4 @ ( binunion @ X4 @ X6 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(binunionE, axiom, binunionE = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( in @ Xx @ ( binunion @ A @ B ) ) => 131.10/17.40 ( ( in @ Xx @ A ) | ( in @ Xx @ B ) ) ))). 131.10/17.40 thf('90', plain, 131.10/17.40 (( binunionE ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) => 131.10/17.40 ( ( in @ X8 @ X4 ) | ( in @ X8 @ X6 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(binunionEcases, axiom, binunionEcases = 131.10/17.40 (![A:$i,B:$i,Xx:$i,Xphi:$o]: 131.10/17.40 ( ( in @ Xx @ ( binunion @ A @ B ) ) => 131.10/17.40 ( ( ( in @ Xx @ A ) => ( Xphi ) ) => 131.10/17.40 ( ( ( in @ Xx @ B ) => ( Xphi ) ) => ( Xphi ) ) ) ))). 131.10/17.40 thf('91', plain, 131.10/17.40 (( binunionEcases ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i,X10:$o]: 131.10/17.40 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) => 131.10/17.40 ( ( ( in @ X8 @ X4 ) => ( X10 ) ) => 131.10/17.40 ( ( ( in @ X8 @ X6 ) => ( X10 ) ) => ( X10 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(binunionIR, axiom, binunionIR = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( in @ Xx @ B ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))). 131.10/17.40 thf('92', plain, 131.10/17.40 (( binunionIR ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(upairset2IR, axiom, upairset2IR = 131.10/17.40 (![Xx:$i,Xy:$i]: 131.10/17.40 ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 131.10/17.40 thf('93', plain, 131.10/17.40 (( upairset2IR ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(binunionIL, axiom, binunionIL = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( in @ Xx @ A ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))). 131.10/17.40 thf('94', plain, 131.10/17.40 (( binunionIL ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ X4 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(sepSubset, axiom, sepSubset = 131.10/17.40 (![A:$i,Xphi:( $i > $o )]: 131.10/17.40 ( subset @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) @ A ))). 131.10/17.40 thf('95', plain, 131.10/17.40 (( sepSubset ) = 131.10/17.40 ( ![X4:$i,X6:( $i > $o )]: 131.10/17.40 ( subset @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) @ X4 ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(sepInPowerset, axiom, sepInPowerset = 131.10/17.40 (![A:$i,Xphi:( $i > $o )]: 131.10/17.40 ( in @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) @ ( powerset @ A ) ))). 131.10/17.40 thf('96', plain, 131.10/17.40 (( sepInPowerset ) = 131.10/17.40 ( ![X4:$i,X6:( $i > $o )]: 131.10/17.40 ( in @ 131.10/17.40 ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) @ 131.10/17.40 ( powerset @ X4 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(powersetsubset, axiom, powersetsubset = 131.10/17.40 (![A:$i,B:$i]: 131.10/17.40 ( ( subset @ A @ B ) => ( subset @ ( powerset @ A ) @ ( powerset @ B ) ) ))). 131.10/17.40 thf('97', plain, 131.10/17.40 (( powersetsubset ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( subset @ X4 @ X6 ) => 131.10/17.40 ( subset @ ( powerset @ X4 ) @ ( powerset @ X6 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(inPowerset, axiom, inPowerset = (![A:$i]: ( in @ A @ ( powerset @ A ) ))). 131.10/17.40 thf('98', plain, 131.10/17.40 (( inPowerset ) = ( ![X4:$i]: ( in @ X4 @ ( powerset @ X4 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(powersetE1, axiom, powersetE1 = 131.10/17.40 (![A:$i,B:$i]: ( ( in @ B @ ( powerset @ A ) ) => ( subset @ B @ A ) ))). 131.10/17.40 thf('99', plain, 131.10/17.40 (( powersetE1 ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( in @ X6 @ ( powerset @ X4 ) ) => ( subset @ X6 @ X4 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(powersetI1, axiom, powersetI1 = 131.10/17.40 (![A:$i,B:$i]: ( ( subset @ B @ A ) => ( in @ B @ ( powerset @ A ) ) ))). 131.10/17.40 thf('100', plain, 131.10/17.40 (( powersetI1 ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( subset @ X6 @ X4 ) => ( in @ X6 @ ( powerset @ X4 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(subsetemptysetimpeq, axiom, subsetemptysetimpeq = 131.10/17.40 (![A:$i]: ( ( subset @ A @ emptyset ) => ( ( A ) = ( emptyset ) ) ))). 131.10/17.40 thf('101', plain, 131.10/17.40 (( subsetemptysetimpeq ) = 131.10/17.40 ( ![X4:$i]: ( ( subset @ X4 @ emptyset ) => ( ( X4 ) = ( emptyset ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setextsub, axiom, setextsub = 131.10/17.40 (![A:$i,B:$i]: 131.10/17.40 ( ( subset @ A @ B ) => ( ( subset @ B @ A ) => ( ( A ) = ( B ) ) ) ))). 131.10/17.40 thf('102', plain, 131.10/17.40 (( setextsub ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( subset @ X4 @ X6 ) => 131.10/17.40 ( ( subset @ X6 @ X4 ) => ( ( X4 ) = ( X6 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(subset2powerset, axiom, subset2powerset = 131.10/17.40 (![A:$i,B:$i]: ( ( subset @ A @ B ) => ( in @ A @ ( powerset @ B ) ) ))). 131.10/17.40 thf('103', plain, 131.10/17.40 (( subset2powerset ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( subset @ X4 @ X6 ) => ( in @ X4 @ ( powerset @ X6 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setadjoinSub2, axiom, setadjoinSub2 = 131.10/17.40 (![A:$i,Xx:$i,B:$i]: 131.10/17.40 ( ( subset @ A @ B ) => ( subset @ A @ ( setadjoin @ Xx @ B ) ) ))). 131.10/17.40 thf('104', plain, 131.10/17.40 (( setadjoinSub2 ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( subset @ X4 @ X8 ) => ( subset @ X4 @ ( setadjoin @ X6 @ X8 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setadjoinSub, axiom, setadjoinSub = 131.10/17.40 (![Xx:$i,A:$i]: ( subset @ A @ ( setadjoin @ Xx @ A ) ))). 131.10/17.40 thf('105', plain, 131.10/17.40 (( setadjoinSub ) = 131.10/17.40 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( setadjoin @ X4 @ X6 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(subsetTrans, axiom, subsetTrans = 131.10/17.40 (![A:$i,B:$i,C:$i]: 131.10/17.40 ( ( subset @ A @ B ) => ( ( subset @ B @ C ) => ( subset @ A @ C ) ) ))). 131.10/17.40 thf('106', plain, 131.10/17.40 (( subsetTrans ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( subset @ X4 @ X6 ) => 131.10/17.40 ( ( subset @ X6 @ X8 ) => ( subset @ X4 @ X8 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(subsetRefl, axiom, subsetRefl = (![A:$i]: ( subset @ A @ A ))). 131.10/17.40 thf('107', plain, (( subsetRefl ) = ( ![X4:$i]: ( subset @ X4 @ X4 ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(notequalI2, axiom, notequalI2 = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ( A ) != ( B ) ) ) ))). 131.10/17.40 thf('108', plain, 131.10/17.40 (( notequalI2 ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ X4 ) => 131.10/17.40 ( ( ~( in @ X8 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(notequalI1, axiom, notequalI1 = 131.10/17.40 (![A:$i,B:$i]: ( ( ~( subset @ A @ B ) ) => ( ( A ) != ( B ) ) ))). 131.10/17.40 thf('109', plain, 131.10/17.40 (( notequalI1 ) = 131.10/17.40 ( ![X4:$i,X6:$i]: ( ( ~( subset @ X4 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(notsubsetI, axiom, notsubsetI = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ~( subset @ A @ B ) ) ) ))). 131.10/17.40 thf('110', plain, 131.10/17.40 (( notsubsetI ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ X4 ) => 131.10/17.40 ( ( ~( in @ X8 @ X6 ) ) => ( ~( subset @ X4 @ X6 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(subsetE2, axiom, subsetE2 = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( subset @ A @ B ) => ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))). 131.10/17.40 thf('111', plain, 131.10/17.40 (( subsetE2 ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( subset @ X4 @ X6 ) => 131.10/17.40 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(subsetE, axiom, subsetE = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( subset @ A @ B ) => ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))). 131.10/17.40 thf('112', plain, 131.10/17.40 (( subsetE ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( subset @ X4 @ X6 ) => ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(emptysetsubset, axiom, emptysetsubset = 131.10/17.40 (![A:$i]: ( subset @ emptyset @ A ))). 131.10/17.40 thf('113', plain, 131.10/17.40 (( emptysetsubset ) = ( ![X4:$i]: ( subset @ emptyset @ X4 ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(subsetI2, axiom, subsetI2 = 131.10/17.40 (![A:$i,B:$i]: 131.10/17.40 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 131.10/17.40 ( subset @ A @ B ) ))). 131.10/17.40 thf('114', plain, 131.10/17.40 (( subsetI2 ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 131.10/17.40 ( subset @ X4 @ X6 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(eqimpsubset1, axiom, eqimpsubset1 = 131.10/17.40 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ A @ B ) ))). 131.10/17.40 thf('115', plain, 131.10/17.40 (( eqimpsubset1 ) = 131.10/17.40 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X4 @ X6 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(eqimpsubset2, axiom, eqimpsubset2 = 131.10/17.40 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ B @ A ) ))). 131.10/17.40 thf('116', plain, 131.10/17.40 (( eqimpsubset2 ) = 131.10/17.40 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X6 @ X4 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(subsetI1, axiom, subsetI1 = 131.10/17.40 (![A:$i,B:$i]: 131.10/17.40 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 131.10/17.40 ( subset @ A @ B ) ))). 131.10/17.40 thf('117', plain, 131.10/17.40 (( subsetI1 ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 131.10/17.40 ( subset @ X4 @ X6 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(dsetconstr__Cong, axiom, dsetconstr__Cong = 131.10/17.40 (![A:$i,B:$i]: 131.10/17.40 ( ( ( A ) = ( B ) ) => 131.10/17.40 ( ![Xphi:( $i > $o ),Xpsi:( $i > $o )]: 131.10/17.40 ( ( ![Xx:$i]: 131.10/17.40 ( ( in @ Xx @ A ) => 131.10/17.40 ( ![Xy:$i]: 131.10/17.40 ( ( in @ Xy @ B ) => 131.10/17.40 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) ) ) ) => 131.10/17.40 ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) = 131.10/17.40 ( dsetconstr @ B @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ) ) ))). 131.10/17.40 thf('118', plain, 131.10/17.40 (( dsetconstr__Cong ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( ( X4 ) = ( X6 ) ) => 131.10/17.40 ( ![X8:( $i > $o ),X10:( $i > $o )]: 131.10/17.40 ( ( ![X12:$i]: 131.10/17.40 ( ( in @ X12 @ X4 ) => 131.10/17.40 ( ![X14:$i]: 131.10/17.40 ( ( in @ X14 @ X6 ) => 131.10/17.40 ( ( ( X12 ) = ( X14 ) ) => 131.10/17.40 ( ( X8 @ X12 ) <=> ( X10 @ X14 ) ) ) ) ) ) ) => 131.10/17.40 ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X8 @ V_1 ) ) ) = 131.10/17.40 ( dsetconstr @ X6 @ ( ^[V_2:$i]: ( X10 @ V_2 ) ) ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(descr__Cong, axiom, descr__Cong = 131.10/17.40 (![Xphi:( $i > $o ),Xpsi:( $i > $o )]: 131.10/17.40 ( ( ![Xx:$i,Xy:$i]: 131.10/17.40 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) => 131.10/17.40 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 131.10/17.40 ( ( exu @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) => 131.10/17.40 ( ( descr @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) = 131.10/17.40 ( descr @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ) ) ))). 131.10/17.40 thf('119', plain, 131.10/17.40 (( descr__Cong ) = 131.10/17.40 ( ![X4:( $i > $o ),X6:( $i > $o )]: 131.10/17.40 ( ( ![X8:$i,X10:$i]: 131.10/17.40 ( ( ( X8 ) = ( X10 ) ) => ( ( X4 @ X8 ) <=> ( X6 @ X10 ) ) ) ) => 131.10/17.40 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 131.10/17.40 ( ( exu @ ( ^[V_2:$i]: ( X6 @ V_2 ) ) ) => 131.10/17.40 ( ( descr @ ( ^[V_3:$i]: ( X4 @ V_3 ) ) ) = 131.10/17.40 ( descr @ ( ^[V_4:$i]: ( X6 @ V_4 ) ) ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(exuEu, axiom, exuEu = 131.10/17.40 (![Xphi:( $i > $o )]: 131.10/17.40 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 131.10/17.40 ( ![Xx:$i,Xy:$i]: 131.10/17.40 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) ))). 131.10/17.40 thf('120', plain, 131.10/17.40 (( exuEu ) = 131.10/17.40 ( ![X4:( $i > $o )]: 131.10/17.40 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 131.10/17.40 ( ![X6:$i,X8:$i]: 131.10/17.40 ( ( X4 @ X6 ) => ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(omega__Cong, axiom, omega__Cong = (( omega ) = ( omega ))). 131.10/17.40 thf('121', plain, (( omega__Cong ) = ( ( omega ) = ( omega ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setunion__Cong, axiom, setunion__Cong = 131.10/17.40 (![A:$i,B:$i]: 131.10/17.40 ( ( ( A ) = ( B ) ) => ( ( setunion @ A ) = ( setunion @ B ) ) ))). 131.10/17.40 thf('122', plain, 131.10/17.40 (( setunion__Cong ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( ( X4 ) = ( X6 ) ) => ( ( setunion @ X4 ) = ( setunion @ X6 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(powerset__Cong, axiom, powerset__Cong = 131.10/17.40 (![A:$i,B:$i]: 131.10/17.40 ( ( ( A ) = ( B ) ) => ( ( powerset @ A ) = ( powerset @ B ) ) ))). 131.10/17.40 thf('123', plain, 131.10/17.40 (( powerset__Cong ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( ( X4 ) = ( X6 ) ) => ( ( powerset @ X4 ) = ( powerset @ X6 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setadjoin__Cong, axiom, setadjoin__Cong = 131.10/17.40 (![Xx:$i,Xy:$i]: 131.10/17.40 ( ( ( Xx ) = ( Xy ) ) => 131.10/17.40 ( ![Xz:$i,Xu:$i]: 131.10/17.40 ( ( ( Xz ) = ( Xu ) ) => 131.10/17.40 ( ( setadjoin @ Xx @ Xz ) = ( setadjoin @ Xy @ Xu ) ) ) ) ))). 131.10/17.40 thf('124', plain, 131.10/17.40 (( setadjoin__Cong ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( ( X4 ) = ( X6 ) ) => 131.10/17.40 ( ![X8:$i,X10:$i]: 131.10/17.40 ( ( ( X8 ) = ( X10 ) ) => 131.10/17.40 ( ( setadjoin @ X4 @ X8 ) = ( setadjoin @ X6 @ X10 ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(emptyset__Cong, axiom, emptyset__Cong = (( emptyset ) = ( emptyset ))). 131.10/17.40 thf('125', plain, (( emptyset__Cong ) = ( ( emptyset ) = ( emptyset ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(exu__Cong, axiom, exu__Cong = 131.10/17.40 (![Xphi:( $i > $o ),Xpsi:( $i > $o )]: 131.10/17.40 ( ( ![Xx:$i,Xy:$i]: 131.10/17.40 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) => 131.10/17.40 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) <=> 131.10/17.40 ( exu @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ))). 131.10/17.40 thf('126', plain, 131.10/17.40 (( exu__Cong ) = 131.10/17.40 ( ![X4:( $i > $o ),X6:( $i > $o )]: 131.10/17.40 ( ( ![X8:$i,X10:$i]: 131.10/17.40 ( ( ( X8 ) = ( X10 ) ) => ( ( X4 @ X8 ) <=> ( X6 @ X10 ) ) ) ) => 131.10/17.40 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) <=> 131.10/17.40 ( exu @ ( ^[V_2:$i]: ( X6 @ V_2 ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(exuE3u, axiom, exuE3u = 131.10/17.40 (![Xphi:( $i > $o )]: 131.10/17.40 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 131.10/17.40 ( ![Xx:$i,Xy:$i]: 131.10/17.40 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) ))). 131.10/17.40 thf('127', plain, 131.10/17.40 (( exuE3u ) = 131.10/17.40 ( ![X4:( $i > $o )]: 131.10/17.40 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 131.10/17.40 ( ![X6:$i,X8:$i]: 131.10/17.40 ( ( X4 @ X6 ) => ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(in__Cong, axiom, in__Cong = 131.10/17.40 (![A:$i,B:$i]: 131.10/17.40 ( ( ( A ) = ( B ) ) => 131.10/17.40 ( ![Xx:$i,Xy:$i]: 131.10/17.40 ( ( ( Xx ) = ( Xy ) ) => ( ( in @ Xx @ A ) <=> ( in @ Xy @ B ) ) ) ) ))). 131.10/17.40 thf('128', plain, 131.10/17.40 (( in__Cong ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( ( X4 ) = ( X6 ) ) => 131.10/17.40 ( ![X8:$i,X10:$i]: 131.10/17.40 ( ( ( X8 ) = ( X10 ) ) => 131.10/17.40 ( ( in @ X8 @ X4 ) <=> ( in @ X10 @ X6 ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(inCongP, axiom, inCongP = 131.10/17.40 (![A:$i,B:$i]: 131.10/17.40 ( ( ( A ) = ( B ) ) => 131.10/17.40 ( ![Xx:$i,Xy:$i]: 131.10/17.40 ( ( ( Xx ) = ( Xy ) ) => ( ( in @ Xx @ A ) => ( in @ Xy @ B ) ) ) ) ))). 131.10/17.40 thf('129', plain, 131.10/17.40 (( inCongP ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( ( X4 ) = ( X6 ) ) => 131.10/17.40 ( ![X8:$i,X10:$i]: 131.10/17.40 ( ( ( X8 ) = ( X10 ) ) => 131.10/17.40 ( ( in @ X8 @ X4 ) => ( in @ X10 @ X6 ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(exuI2, axiom, exuI2 = 131.10/17.40 (![Xphi:( $i > $o )]: 131.10/17.40 ( ( ?[Xx:$i]: ( ![Xy:$i]: ( ( Xphi @ Xy ) <=> ( ( Xy ) = ( Xx ) ) ) ) ) => 131.10/17.40 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ))). 131.10/17.40 thf('130', plain, 131.10/17.40 (( exuI2 ) = 131.10/17.40 ( ![X4:( $i > $o )]: 131.10/17.40 ( ( ?[X6:$i]: ( ![X8:$i]: ( ( X4 @ X8 ) <=> ( ( X8 ) = ( X6 ) ) ) ) ) => 131.10/17.40 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(exuI3, axiom, exuI3 = 131.10/17.40 (![Xphi:( $i > $o )]: 131.10/17.40 ( ( ?[Xx:$i]: ( Xphi @ Xx ) ) => 131.10/17.40 ( ( ![Xx:$i,Xy:$i]: 131.10/17.40 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) => 131.10/17.40 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ) ))). 131.10/17.40 thf('131', plain, 131.10/17.40 (( exuI3 ) = 131.10/17.40 ( ![X4:( $i > $o )]: 131.10/17.40 ( ( ?[X6:$i]: ( X4 @ X6 ) ) => 131.10/17.40 ( ( ![X8:$i,X10:$i]: 131.10/17.40 ( ( X4 @ X8 ) => ( ( X4 @ X10 ) => ( ( X8 ) = ( X10 ) ) ) ) ) => 131.10/17.40 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(exuI1, axiom, exuI1 = 131.10/17.40 (![Xphi:( $i > $o )]: 131.10/17.40 ( ( ?[Xx:$i]: 131.10/17.40 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 131.10/17.40 ( Xphi @ Xx ) ) ) => 131.10/17.40 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ))). 131.10/17.40 thf('132', plain, 131.10/17.40 (( exuI1 ) = 131.10/17.40 ( ![X4:( $i > $o )]: 131.10/17.40 ( ( ?[X6:$i]: 131.10/17.40 ( ( ![X8:$i]: ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) & 131.10/17.40 ( X4 @ X6 ) ) ) => 131.10/17.40 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(notdallE, axiom, notdallE = 131.10/17.40 (![A:$i,Xphi:( $i > $o )]: 131.10/17.40 ( ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) => 131.10/17.40 ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) ))). 131.10/17.40 thf('133', plain, 131.10/17.40 (( notdallE ) = 131.10/17.40 ( ![X4:$i,X6:( $i > $o )]: 131.10/17.40 ( ( ~( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( X6 @ X8 ) ) ) ) => 131.10/17.40 ( ?[X10:$i]: ( ( ~( X6 @ X10 ) ) & ( in @ X10 @ X4 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(notdexE, axiom, notdexE = 131.10/17.40 (![A:$i,Xphi:( $i > $o )]: 131.10/17.40 ( ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) => 131.10/17.40 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) ))). 131.10/17.40 thf('134', plain, 131.10/17.40 (( notdexE ) = 131.10/17.40 ( ![X4:$i,X6:( $i > $o )]: 131.10/17.40 ( ( ~( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) => 131.10/17.40 ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( ~( X6 @ X10 ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(prop2set2propI, axiom, prop2set2propI = 131.10/17.40 (![Xphi:$o]: ( ( Xphi ) => ( set2prop @ ( prop2set @ Xphi ) ) ))). 131.10/17.40 thf('135', plain, 131.10/17.40 (( prop2set2propI ) = 131.10/17.40 ( ![X4:$o]: ( ( X4 ) => ( set2prop @ ( prop2set @ X4 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(prop2setI, axiom, prop2setI = 131.10/17.40 (![Xphi:$o]: ( ( Xphi ) => ( in @ emptyset @ ( prop2set @ Xphi ) ) ))). 131.10/17.40 thf('136', plain, 131.10/17.40 (( prop2setI ) = 131.10/17.40 ( ![X4:$o]: ( ( X4 ) => ( in @ emptyset @ ( prop2set @ X4 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(quantDeMorgan4, axiom, quantDeMorgan4 = 131.10/17.40 (![A:$i,Xphi:( $i > $o )]: 131.10/17.40 ( ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) => 131.10/17.40 ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) ))). 131.10/17.40 thf('137', plain, 131.10/17.40 (( quantDeMorgan4 ) = 131.10/17.40 ( ![X4:$i,X6:( $i > $o )]: 131.10/17.40 ( ( ?[X8:$i]: ( ( ~( X6 @ X8 ) ) & ( in @ X8 @ X4 ) ) ) => 131.10/17.40 ( ~( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( X6 @ X10 ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(quantDeMorgan3, axiom, quantDeMorgan3 = 131.10/17.40 (![A:$i,Xphi:( $i > $o )]: 131.10/17.40 ( ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) => 131.10/17.40 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) ))). 131.10/17.40 thf('138', plain, 131.10/17.40 (( quantDeMorgan3 ) = 131.10/17.40 ( ![X4:$i,X6:( $i > $o )]: 131.10/17.40 ( ( ~( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) => 131.10/17.40 ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( ~( X6 @ X10 ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(quantDeMorgan2, axiom, quantDeMorgan2 = 131.10/17.40 (![A:$i,Xphi:( $i > $o )]: 131.10/17.40 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) => 131.10/17.40 ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) ))). 131.10/17.40 thf('139', plain, 131.10/17.40 (( quantDeMorgan2 ) = 131.10/17.40 ( ![X4:$i,X6:( $i > $o )]: 131.10/17.40 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( ~( X6 @ X8 ) ) ) ) => 131.10/17.40 ( ~( ?[X10:$i]: ( ( X6 @ X10 ) & ( in @ X10 @ X4 ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(quantDeMorgan1, axiom, quantDeMorgan1 = 131.10/17.40 (![A:$i,Xphi:( $i > $o )]: 131.10/17.40 ( ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) => 131.10/17.40 ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) ))). 131.10/17.40 thf('140', plain, 131.10/17.40 (( quantDeMorgan1 ) = 131.10/17.40 ( ![X4:$i,X6:( $i > $o )]: 131.10/17.40 ( ( ~( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( X6 @ X8 ) ) ) ) => 131.10/17.40 ( ?[X10:$i]: ( ( ~( X6 @ X10 ) ) & ( in @ X10 @ X4 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(vacuousDall, axiom, vacuousDall = 131.10/17.40 (![Xphi:( $i > $o ),Xx:$i]: ( ( in @ Xx @ emptyset ) => ( Xphi @ Xx ) ))). 131.10/17.40 thf('141', plain, 131.10/17.40 (( vacuousDall ) = 131.10/17.40 ( ![X4:( $i > $o ),X6:$i]: ( ( in @ X6 @ emptyset ) => ( X4 @ X6 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(emptyE1, axiom, emptyE1 = 131.10/17.40 (![A:$i,Xphi:( $i > $o )]: 131.10/17.40 ( ( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) => 131.10/17.40 ( ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) = ( emptyset ) ) => 131.10/17.40 ( $false ) ) ))). 131.10/17.40 thf('142', plain, 131.10/17.40 (( emptyE1 ) = 131.10/17.40 ( ![X4:$i,X6:( $i > $o )]: 131.10/17.40 ( ( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) => 131.10/17.40 ( ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) = ( emptyset ) ) => 131.10/17.40 ( $false ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(upairsetIR, axiom, upairsetIR = 131.10/17.40 (![Xx:$i,Xy:$i]: 131.10/17.40 ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 131.10/17.40 thf('143', plain, 131.10/17.40 (( upairsetIR ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(upairsetIL, axiom, upairsetIL = 131.10/17.40 (![Xx:$i,Xy:$i]: 131.10/17.40 ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 131.10/17.40 thf('144', plain, 131.10/17.40 (( upairsetIL ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( in @ X4 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(upairsetE, axiom, upairsetE = 131.10/17.40 (![Xx:$i,Xy:$i,Xz:$i]: 131.10/17.40 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) => 131.10/17.40 ( ( ( Xz ) = ( Xx ) ) | ( ( Xz ) = ( Xy ) ) ) ))). 131.10/17.40 thf('145', plain, 131.10/17.40 (( upairsetE ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) => 131.10/17.40 ( ( ( X8 ) = ( X4 ) ) | ( ( X8 ) = ( X6 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(singletonsswitch, axiom, singletonsswitch = 131.10/17.40 (![Xx:$i,Xy:$i]: 131.10/17.40 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) => 131.10/17.40 ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ))). 131.10/17.40 thf('146', plain, 131.10/17.40 (( singletonsswitch ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) => 131.10/17.40 ( in @ X6 @ ( setadjoin @ X4 @ emptyset ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(eqinunit, axiom, eqinunit = 131.10/17.40 (![Xx:$i,Xy:$i]: 131.10/17.40 ( ( ( Xx ) = ( Xy ) ) => ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 131.10/17.40 thf('147', plain, 131.10/17.40 (( eqinunit ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( ( X4 ) = ( X6 ) ) => ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(notinsingleton, axiom, notinsingleton = 131.10/17.40 (![Xx:$i,Xy:$i]: 131.10/17.40 ( ( ( Xx ) != ( Xy ) ) => ( ~( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ))). 131.10/17.40 thf('148', plain, 131.10/17.40 (( notinsingleton ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( ( X4 ) != ( X6 ) ) => 131.10/17.40 ( ~( in @ X6 @ ( setadjoin @ X4 @ emptyset ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(uniqinunit, axiom, uniqinunit = 131.10/17.40 (![Xx:$i,Xy:$i]: 131.10/17.40 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) => ( ( Xx ) = ( Xy ) ) ))). 131.10/17.40 thf('149', plain, 131.10/17.40 (( uniqinunit ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) => ( ( X4 ) = ( X6 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(nonemptyImpWitness, axiom, nonemptyImpWitness = 131.10/17.40 (![A:$i]: ( ( nonempty @ A ) => ( ?[Xx:$i]: ( in @ Xx @ A ) ) ))). 131.10/17.40 thf('150', plain, 131.10/17.40 (( nonemptyImpWitness ) = 131.10/17.40 ( ![X4:$i]: ( ( nonempty @ X4 ) => ( ?[X6:$i]: ( in @ X6 @ X4 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(exuE2, axiom, exuE2 = 131.10/17.40 (![Xphi:( $i > $o )]: 131.10/17.40 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 131.10/17.40 ( ?[Xx:$i]: ( ![Xy:$i]: ( ( Xphi @ Xy ) <=> ( ( Xy ) = ( Xx ) ) ) ) ) ))). 131.10/17.40 thf('151', plain, 131.10/17.40 (( exuE2 ) = 131.10/17.40 ( ![X4:( $i > $o )]: 131.10/17.40 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 131.10/17.40 ( ?[X6:$i]: ( ![X8:$i]: ( ( X4 @ X8 ) <=> ( ( X8 ) = ( X6 ) ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(subPowSU, axiom, subPowSU = 131.10/17.40 (![A:$i,Xx:$i]: 131.10/17.40 ( ( in @ Xx @ A ) => ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ))). 131.10/17.40 thf('152', plain, 131.10/17.40 (( subPowSU ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( in @ X6 @ X4 ) => ( in @ X6 @ ( powerset @ ( setunion @ X4 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setunionE, axiom, setunionE = 131.10/17.40 (![A:$i,Xx:$i]: 131.10/17.40 ( ( in @ Xx @ ( setunion @ A ) ) => 131.10/17.40 ( ![Xphi:$o]: 131.10/17.40 ( ( ![B:$i]: ( ( in @ Xx @ B ) => ( ( in @ B @ A ) => ( Xphi ) ) ) ) => 131.10/17.40 ( Xphi ) ) ) ))). 131.10/17.40 thf('153', plain, 131.10/17.40 (( setunionE ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( in @ X6 @ ( setunion @ X4 ) ) => 131.10/17.40 ( ![X8:$o]: 131.10/17.40 ( ( ![X10:$i]: 131.10/17.40 ( ( in @ X6 @ X10 ) => ( ( in @ X10 @ X4 ) => ( X8 ) ) ) ) => 131.10/17.40 ( X8 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setunionI, axiom, setunionI = 131.10/17.40 (![A:$i,Xx:$i,B:$i]: 131.10/17.40 ( ( in @ Xx @ B ) => ( ( in @ B @ A ) => ( in @ Xx @ ( setunion @ A ) ) ) ))). 131.10/17.40 thf('154', plain, 131.10/17.40 (( setunionI ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X6 @ X8 ) => 131.10/17.40 ( ( in @ X8 @ X4 ) => ( in @ X6 @ ( setunion @ X4 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(powersetE, axiom, powersetE = 131.10/17.40 (![A:$i,B:$i,Xx:$i]: 131.10/17.40 ( ( in @ B @ ( powerset @ A ) ) => ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ))). 131.10/17.40 thf('155', plain, 131.10/17.40 (( powersetE ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X6 @ ( powerset @ X4 ) ) => 131.10/17.40 ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(emptyInPowerset, axiom, emptyInPowerset = 131.10/17.40 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 131.10/17.40 thf('156', plain, 131.10/17.40 (( emptyInPowerset ) = 131.10/17.40 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(emptyinPowerset, axiom, emptyinPowerset = 131.10/17.40 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 131.10/17.40 thf('157', plain, 131.10/17.40 (( emptyinPowerset ) = 131.10/17.40 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(powersetI, axiom, powersetI = 131.10/17.40 (![A:$i,B:$i]: 131.10/17.40 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) => 131.10/17.40 ( in @ B @ ( powerset @ A ) ) ))). 131.10/17.40 thf('158', plain, 131.10/17.40 (( powersetI ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) => 131.10/17.40 ( in @ X6 @ ( powerset @ X4 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setoftrueEq, axiom, setoftrueEq = 131.10/17.40 (![A:$i]: ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( $true ) ) ) = ( A ) ))). 131.10/17.40 thf('159', plain, 131.10/17.40 (( setoftrueEq ) = 131.10/17.40 ( ![X4:$i]: ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( $true ) ) ) = ( X4 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setadjoinOr, axiom, setadjoinOr = 131.10/17.40 (![Xx:$i,A:$i,Xy:$i]: 131.10/17.40 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) => 131.10/17.40 ( ( ( Xy ) = ( Xx ) ) | ( in @ Xy @ A ) ) ))). 131.10/17.40 thf('160', plain, 131.10/17.40 (( setadjoinOr ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) => 131.10/17.40 ( ( ( X8 ) = ( X4 ) ) | ( in @ X8 @ X6 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setadjoinE, axiom, setadjoinE = 131.10/17.40 (![Xx:$i,A:$i,Xy:$i]: 131.10/17.40 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) => 131.10/17.40 ( ![Xphi:$o]: 131.10/17.40 ( ( ( ( Xy ) = ( Xx ) ) => ( Xphi ) ) => 131.10/17.40 ( ( ( in @ Xy @ A ) => ( Xphi ) ) => ( Xphi ) ) ) ) ))). 131.10/17.40 thf('161', plain, 131.10/17.40 (( setadjoinE ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) => 131.10/17.40 ( ![X10:$o]: 131.10/17.40 ( ( ( ( X8 ) = ( X4 ) ) => ( X10 ) ) => 131.10/17.40 ( ( ( in @ X8 @ X6 ) => ( X10 ) ) => ( X10 ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setadjoinIR, axiom, setadjoinIR = 131.10/17.40 (![Xx:$i,A:$i,Xy:$i]: 131.10/17.40 ( ( in @ Xy @ A ) => ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ))). 131.10/17.40 thf('162', plain, 131.10/17.40 (( setadjoinIR ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(emptyinunitempty, axiom,(( emptyinunitempty ) = 131.10/17.40 (in @ emptyset @ ( setadjoin @ emptyset @ emptyset )))). 131.10/17.40 thf('163', plain, 131.10/17.40 (( emptyinunitempty ) = 131.10/17.40 ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )), 131.10/17.40 inference('simplify_rw_rule', [status(thm)], [emptyinunitempty])). 131.10/17.40 thf('164', plain, 131.10/17.40 (( emptyinunitempty ) = 131.10/17.40 ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setadjoinIL, axiom, setadjoinIL = 131.10/17.40 (![Xx:$i,Xy:$i]: ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ))). 131.10/17.40 thf('165', plain, 131.10/17.40 (( setadjoinIL ) = 131.10/17.40 ( ![X4:$i,X6:$i]: ( in @ X4 @ ( setadjoin @ X4 @ X6 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(nonemptyI1, axiom, nonemptyI1 = 131.10/17.40 (![A:$i]: ( ( ?[Xx:$i]: ( in @ Xx @ A ) ) => ( nonempty @ A ) ))). 131.10/17.40 thf('166', plain, 131.10/17.40 (( nonemptyI1 ) = 131.10/17.40 ( ![X4:$i]: ( ( ?[X6:$i]: ( in @ X6 @ X4 ) ) => ( nonempty @ X4 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(nonemptyI, axiom, nonemptyI = 131.10/17.40 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 131.10/17.40 ( ( in @ Xx @ A ) => 131.10/17.40 ( ( Xphi @ Xx ) => 131.10/17.40 ( nonempty @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) ) ))). 131.10/17.40 thf('167', plain, 131.10/17.40 (( nonemptyI ) = 131.10/17.40 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 131.10/17.40 ( ( in @ X8 @ X4 ) => 131.10/17.40 ( ( X6 @ X8 ) => 131.10/17.40 ( nonempty @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(nonemptyE1, axiom, nonemptyE1 = 131.10/17.40 (![A:$i]: ( ( nonempty @ A ) => ( ?[Xx:$i]: ( in @ Xx @ A ) ) ))). 131.10/17.40 thf('168', plain, 131.10/17.40 (( nonemptyE1 ) = 131.10/17.40 ( ![X4:$i]: ( ( nonempty @ X4 ) => ( ?[X6:$i]: ( in @ X6 @ X4 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(nonempty, axiom,(( nonempty ) = (^[Xx:$i]: ( ( Xx ) != ( emptyset ) )))). 131.10/17.40 thf('169', plain, (( nonempty ) = ( ^[Xx:$i]: ( ( Xx ) != ( emptyset ) ) )), 131.10/17.40 inference('simplify_rw_rule', [status(thm)], [nonempty])). 131.10/17.40 thf('170', plain, 131.10/17.40 (( nonempty ) = ( ^[V_1:$i]: ( ( V_1 ) != ( emptyset ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setbeta, axiom, setbeta = 131.10/17.40 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 131.10/17.40 ( ( in @ Xx @ A ) => 131.10/17.40 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) <=> 131.10/17.40 ( Xphi @ Xx ) ) ))). 131.10/17.40 thf('171', plain, 131.10/17.40 (( setbeta ) = 131.10/17.40 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 131.10/17.40 ( ( in @ X8 @ X4 ) => 131.10/17.40 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) <=> 131.10/17.40 ( X6 @ X8 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(noeltsimpempty, axiom, noeltsimpempty = 131.10/17.40 (![A:$i]: 131.10/17.40 ( ( ![Xx:$i]: ( ~( in @ Xx @ A ) ) ) => ( ( A ) = ( emptyset ) ) ))). 131.10/17.40 thf('172', plain, 131.10/17.40 (( noeltsimpempty ) = 131.10/17.40 ( ![X4:$i]: 131.10/17.40 ( ( ![X6:$i]: ( ~( in @ X6 @ X4 ) ) ) => ( ( X4 ) = ( emptyset ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(emptyI, axiom, emptyI = 131.10/17.40 (![A:$i]: 131.10/17.40 ( ( ![Xx:$i]: ( ~( in @ Xx @ A ) ) ) => ( ( A ) = ( emptyset ) ) ))). 131.10/17.40 thf('173', plain, 131.10/17.40 (( emptyI ) = 131.10/17.40 ( ![X4:$i]: 131.10/17.40 ( ( ![X6:$i]: ( ~( in @ X6 @ X4 ) ) ) => ( ( X4 ) = ( emptyset ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setext, axiom, setext = 131.10/17.40 (![A:$i,B:$i]: 131.10/17.40 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 131.10/17.40 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) => 131.10/17.40 ( ( A ) = ( B ) ) ) ))). 131.10/17.40 thf('174', plain, 131.10/17.40 (( setext ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 131.10/17.40 ( ( ![X10:$i]: ( ( in @ X10 @ X6 ) => ( in @ X10 @ X4 ) ) ) => 131.10/17.40 ( ( X4 ) = ( X6 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(exuE3e, axiom, exuE3e = 131.10/17.40 (![Xphi:( $i > $o )]: 131.10/17.40 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => ( ?[Xx:$i]: ( Xphi @ Xx ) ) ))). 131.10/17.40 thf('175', plain, 131.10/17.40 (( exuE3e ) = 131.10/17.40 ( ![X4:( $i > $o )]: 131.10/17.40 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => ( ?[X6:$i]: ( X4 @ X6 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(notinemptyset, axiom, notinemptyset = 131.10/17.40 (![Xx:$i]: ( ~( in @ Xx @ emptyset ) ))). 131.10/17.40 thf('176', plain, 131.10/17.40 (( notinemptyset ) = ( ![X4:$i]: ( ~( in @ X4 @ emptyset ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(emptysetimpfalse, axiom, emptysetimpfalse = 131.10/17.40 (![Xx:$i]: ( ( in @ Xx @ emptyset ) => ( $false ) ))). 131.10/17.40 thf('177', plain, 131.10/17.40 (( emptysetimpfalse ) = 131.10/17.40 ( ![X4:$i]: ( ( in @ X4 @ emptyset ) => ( $false ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(emptysetE, axiom, emptysetE = 131.10/17.40 (![Xx:$i]: ( ( in @ Xx @ emptyset ) => ( ![Xphi:$o]: ( Xphi ) ) ))). 131.10/17.40 thf('178', plain, 131.10/17.40 (( emptysetE ) = 131.10/17.40 ( ![X4:$i]: ( ( in @ X4 @ emptyset ) => ( ![X6:$o]: ( X6 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(prop2setE, axiom, prop2setE = 131.10/17.40 (![Xphi:$o,Xx:$i]: ( ( in @ Xx @ ( prop2set @ Xphi ) ) => ( Xphi ) ))). 131.10/17.40 thf('179', plain, 131.10/17.40 (( prop2setE ) = 131.10/17.40 ( ![X4:$o,X6:$i]: ( ( in @ X6 @ ( prop2set @ X4 ) ) => ( X4 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(exuE1, axiom, exuE1 = 131.10/17.40 (![Xphi:( $i > $o )]: 131.10/17.40 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 131.10/17.40 ( ?[Xx:$i]: 131.10/17.40 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 131.10/17.40 ( Xphi @ Xx ) ) ) ))). 131.10/17.40 thf('180', plain, 131.10/17.40 (( exuE1 ) = 131.10/17.40 ( ![X4:( $i > $o )]: 131.10/17.40 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 131.10/17.40 ( ?[X6:$i]: 131.10/17.40 ( ( ![X8:$i]: ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) & 131.10/17.40 ( X4 @ X6 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(dsetconstrER, axiom, dsetconstrER = 131.10/17.40 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 131.10/17.40 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) => 131.10/17.40 ( Xphi @ Xx ) ))). 131.10/17.40 thf('181', plain, 131.10/17.40 (( dsetconstrER ) = 131.10/17.40 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 131.10/17.40 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) => 131.10/17.40 ( X6 @ X8 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(dsetconstrEL, axiom, dsetconstrEL = 131.10/17.40 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 131.10/17.40 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) => 131.10/17.40 ( in @ Xx @ A ) ))). 131.10/17.40 thf('182', plain, 131.10/17.40 (( dsetconstrEL ) = 131.10/17.40 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 131.10/17.40 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) => 131.10/17.40 ( in @ X8 @ X4 ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(dsetconstrI, axiom, dsetconstrI = 131.10/17.40 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 131.10/17.40 ( ( in @ Xx @ A ) => 131.10/17.40 ( ( Xphi @ Xx ) => 131.10/17.40 ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) ) ))). 131.10/17.40 thf('183', plain, 131.10/17.40 (( dsetconstrI ) = 131.10/17.40 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 131.10/17.40 ( ( in @ X8 @ X4 ) => 131.10/17.40 ( ( X6 @ X8 ) => 131.10/17.40 ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(descrp, axiom, descrp = 131.10/17.40 (![Xphi:( $i > $o )]: 131.10/17.40 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 131.10/17.40 ( Xphi @ ( descr @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ) ))). 131.10/17.40 thf('184', plain, 131.10/17.40 (( descrp ) = 131.10/17.40 ( ![X4:( $i > $o )]: 131.10/17.40 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 131.10/17.40 ( X4 @ ( descr @ ( ^[V_2:$i]: ( X4 @ V_2 ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(wellorderingAx, axiom, wellorderingAx = 131.10/17.40 (![A:$i]: 131.10/17.40 ( ?[B:$i]: 131.10/17.40 ( ( ![C:$i]: 131.10/17.40 ( ( ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ A ) ) ) & 131.10/17.40 ( ?[Xx:$i]: ( in @ Xx @ C ) ) ) => 131.10/17.40 ( ?[D:$i,Xx:$i]: 131.10/17.40 ( ( ![E:$i]: 131.10/17.40 ( ( in @ E @ B ) => 131.10/17.40 ( ( ![Xy:$i]: ( ( in @ Xy @ E ) => ( in @ Xy @ D ) ) ) | 131.10/17.40 ( in @ Xx @ E ) ) ) ) & 131.10/17.40 ( ~( ?[Xy:$i]: ( ( in @ Xy @ C ) & ( in @ Xy @ D ) ) ) ) & 131.10/17.40 ( in @ Xx @ C ) & ( in @ D @ B ) ) ) ) ) & 131.10/17.40 ( ![C:$i,D:$i]: 131.10/17.40 ( ( ( in @ C @ B ) & ( in @ D @ B ) ) => 131.10/17.40 ( ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ D ) ) ) | 131.10/17.40 ( ![Xx:$i]: ( ( in @ Xx @ D ) => ( in @ Xx @ C ) ) ) ) ) ) & 131.10/17.40 ( ![Xx:$i,Xy:$i]: 131.10/17.40 ( ( ( in @ Xx @ A ) & ( in @ Xy @ A ) ) => 131.10/17.40 ( ( ![C:$i]: 131.10/17.40 ( ( in @ C @ B ) => ( ( in @ Xx @ C ) <=> ( in @ Xy @ C ) ) ) ) => 131.10/17.40 ( ( Xx ) = ( Xy ) ) ) ) ) & 131.10/17.40 ( ![C:$i]: 131.10/17.40 ( ( in @ C @ B ) => 131.10/17.40 ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ A ) ) ) ) ) ) ))). 131.10/17.40 thf('185', plain, 131.10/17.40 (( wellorderingAx ) = 131.10/17.40 ( ![X4:$i]: 131.10/17.40 ( ?[X6:$i]: 131.10/17.40 ( ( ![X8:$i]: 131.10/17.40 ( ( ( ![X10:$i]: ( ( in @ X10 @ X8 ) => ( in @ X10 @ X4 ) ) ) & 131.10/17.40 ( ?[X12:$i]: ( in @ X12 @ X8 ) ) ) => 131.10/17.40 ( ?[X14:$i,X16:$i]: 131.10/17.40 ( ( ![X18:$i]: 131.10/17.40 ( ( in @ X18 @ X6 ) => 131.10/17.40 ( ( ![X20:$i]: 131.10/17.40 ( ( in @ X20 @ X18 ) => ( in @ X20 @ X14 ) ) ) | 131.10/17.40 ( in @ X16 @ X18 ) ) ) ) & 131.10/17.40 ( ~( ?[X22:$i]: ( ( in @ X22 @ X8 ) & ( in @ X22 @ X14 ) ) ) ) & 131.10/17.40 ( in @ X16 @ X8 ) & ( in @ X14 @ X6 ) ) ) ) ) & 131.10/17.40 ( ![X24:$i,X26:$i]: 131.10/17.40 ( ( ( in @ X24 @ X6 ) & ( in @ X26 @ X6 ) ) => 131.10/17.40 ( ( ![X28:$i]: ( ( in @ X28 @ X24 ) => ( in @ X28 @ X26 ) ) ) | 131.10/17.40 ( ![X30:$i]: ( ( in @ X30 @ X26 ) => ( in @ X30 @ X24 ) ) ) ) ) ) & 131.10/17.40 ( ![X32:$i,X34:$i]: 131.10/17.40 ( ( ( in @ X32 @ X4 ) & ( in @ X34 @ X4 ) ) => 131.10/17.40 ( ( ![X36:$i]: 131.10/17.40 ( ( in @ X36 @ X6 ) => 131.10/17.40 ( ( in @ X32 @ X36 ) <=> ( in @ X34 @ X36 ) ) ) ) => 131.10/17.40 ( ( X32 ) = ( X34 ) ) ) ) ) & 131.10/17.40 ( ![X38:$i]: 131.10/17.40 ( ( in @ X38 @ X6 ) => 131.10/17.40 ( ![X40:$i]: ( ( in @ X40 @ X38 ) => ( in @ X40 @ X4 ) ) ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(foundationAx, axiom, foundationAx = 131.10/17.40 (![A:$i]: 131.10/17.40 ( ( ?[Xx:$i]: ( in @ Xx @ A ) ) => 131.10/17.40 ( ?[B:$i]: 131.10/17.40 ( ( ~( ?[Xx:$i]: ( ( in @ Xx @ A ) & ( in @ Xx @ B ) ) ) ) & 131.10/17.40 ( in @ B @ A ) ) ) ))). 131.10/17.40 thf('186', plain, 131.10/17.40 (( foundationAx ) = 131.10/17.40 ( ![X4:$i]: 131.10/17.40 ( ( ?[X6:$i]: ( in @ X6 @ X4 ) ) => 131.10/17.40 ( ?[X8:$i]: 131.10/17.40 ( ( ~( ?[X10:$i]: ( ( in @ X10 @ X4 ) & ( in @ X10 @ X8 ) ) ) ) & 131.10/17.40 ( in @ X8 @ X4 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(replAx, axiom, replAx = 131.10/17.40 (![Xphi:( $i > $i > $o ),A:$i]: 131.10/17.40 ( ( ![Xx:$i]: 131.10/17.40 ( ( in @ Xx @ A ) => ( exu @ ( ^[Xy:$i]: ( Xphi @ Xx @ Xy ) ) ) ) ) => 131.10/17.40 ( ?[B:$i]: 131.10/17.40 ( ![Xx:$i]: 131.10/17.40 ( ( in @ Xx @ B ) <=> 131.10/17.40 ( ?[Xy:$i]: ( ( Xphi @ Xy @ Xx ) & ( in @ Xy @ A ) ) ) ) ) ) ))). 131.10/17.40 thf('187', plain, 131.10/17.40 (( replAx ) = 131.10/17.40 ( ![X4:( $i > $i > $o ),X6:$i]: 131.10/17.40 ( ( ![X8:$i]: 131.10/17.40 ( ( in @ X8 @ X6 ) => ( exu @ ( ^[V_1:$i]: ( X4 @ X8 @ V_1 ) ) ) ) ) => 131.10/17.40 ( ?[X10:$i]: 131.10/17.40 ( ![X12:$i]: 131.10/17.40 ( ( in @ X12 @ X10 ) <=> 131.10/17.40 ( ?[X14:$i]: ( ( X4 @ X14 @ X12 ) & ( in @ X14 @ X6 ) ) ) ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(omegaIndAx, axiom, omegaIndAx = 131.10/17.40 (![A:$i]: 131.10/17.40 ( ( ( in @ emptyset @ A ) & 131.10/17.40 ( ![Xx:$i]: 131.10/17.40 ( ( ( in @ Xx @ omega ) & ( in @ Xx @ A ) ) => 131.10/17.40 ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) ) ) => 131.10/17.40 ( ![Xx:$i]: ( ( in @ Xx @ omega ) => ( in @ Xx @ A ) ) ) ))). 131.10/17.40 thf('188', plain, 131.10/17.40 (( omegaIndAx ) = 131.10/17.40 ( ![X4:$i]: 131.10/17.40 ( ( ( in @ emptyset @ X4 ) & 131.10/17.40 ( ![X6:$i]: 131.10/17.40 ( ( ( in @ X6 @ omega ) & ( in @ X6 @ X4 ) ) => 131.10/17.40 ( in @ ( setadjoin @ X6 @ X6 ) @ X4 ) ) ) ) => 131.10/17.40 ( ![X8:$i]: ( ( in @ X8 @ omega ) => ( in @ X8 @ X4 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(omegaSAx, axiom, omegaSAx = 131.10/17.40 (![Xx:$i]: 131.10/17.40 ( ( in @ Xx @ omega ) => ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ))). 131.10/17.40 thf('189', plain, 131.10/17.40 (( omegaSAx ) = 131.10/17.40 ( ![X4:$i]: 131.10/17.40 ( ( in @ X4 @ omega ) => ( in @ ( setadjoin @ X4 @ X4 ) @ omega ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(omega0Ax, axiom,(( omega0Ax ) = (in @ emptyset @ omega))). 131.10/17.40 thf('190', plain, (( omega0Ax ) = ( in @ emptyset @ omega )), 131.10/17.40 inference('simplify_rw_rule', [status(thm)], [omega0Ax])). 131.10/17.40 thf('191', plain, (( omega0Ax ) = ( in @ emptyset @ omega )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setunionAx, axiom, setunionAx = 131.10/17.40 (![A:$i,Xx:$i]: 131.10/17.40 ( ( in @ Xx @ ( setunion @ A ) ) <=> 131.10/17.40 ( ?[B:$i]: ( ( in @ B @ A ) & ( in @ Xx @ B ) ) ) ))). 131.10/17.40 thf('192', plain, 131.10/17.40 (( setunionAx ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( in @ X6 @ ( setunion @ X4 ) ) <=> 131.10/17.40 ( ?[X8:$i]: ( ( in @ X8 @ X4 ) & ( in @ X6 @ X8 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(powersetAx, axiom, powersetAx = 131.10/17.40 (![A:$i,B:$i]: 131.10/17.40 ( ( in @ B @ ( powerset @ A ) ) <=> 131.10/17.40 ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) ))). 131.10/17.40 thf('193', plain, 131.10/17.40 (( powersetAx ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( in @ X6 @ ( powerset @ X4 ) ) <=> 131.10/17.40 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setadjoinAx, axiom, setadjoinAx = 131.10/17.40 (![Xx:$i,A:$i,Xy:$i]: 131.10/17.40 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) <=> 131.10/17.40 ( ( ( Xy ) = ( Xx ) ) | ( in @ Xy @ A ) ) ))). 131.10/17.40 thf('194', plain, 131.10/17.40 (( setadjoinAx ) = 131.10/17.40 ( ![X4:$i,X6:$i,X8:$i]: 131.10/17.40 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) <=> 131.10/17.40 ( ( ( X8 ) = ( X4 ) ) | ( in @ X8 @ X6 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(emptysetAx, axiom, emptysetAx = (![Xx:$i]: ( ~( in @ Xx @ emptyset ) ))). 131.10/17.40 thf('195', plain, 131.10/17.40 (( emptysetAx ) = ( ![X4:$i]: ( ~( in @ X4 @ emptyset ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(setextAx, axiom, setextAx = 131.10/17.40 (![A:$i,B:$i]: 131.10/17.40 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) <=> ( in @ Xx @ B ) ) ) => 131.10/17.40 ( ( A ) = ( B ) ) ))). 131.10/17.40 thf('196', plain, 131.10/17.40 (( setextAx ) = 131.10/17.40 ( ![X4:$i,X6:$i]: 131.10/17.40 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 131.10/17.40 ( ( X4 ) = ( X6 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(exu, axiom,(( exu ) = 131.10/17.40 (^[Xphi:( $i > $o )]: 131.10/17.40 ( ?[Xx:$i]: 131.10/17.40 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & ( Xphi @ Xx ) ) )))). 131.10/17.40 thf('197', plain, 131.10/17.40 (( exu ) = 131.10/17.40 ( ^[Xphi:( $i > $o )]: 131.10/17.40 ( ?[Xx:$i]: 131.10/17.40 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 131.10/17.40 ( Xphi @ Xx ) ) ) )), 131.10/17.40 inference('simplify_rw_rule', [status(thm)], [exu])). 131.10/17.40 thf('198', plain, 131.10/17.40 (( exu ) = 131.10/17.40 ( ^[V_1:( $i > $o )]: 131.10/17.40 ( ?[X4:$i]: 131.10/17.40 ( ( ![X6:$i]: ( ( V_1 @ X6 ) => ( ( X4 ) = ( X6 ) ) ) ) & 131.10/17.40 ( V_1 @ X4 ) ) ) )), 131.10/17.40 define([status(thm)])). 131.10/17.40 thf(dpsetconstrEL1, conjecture, 131.10/17.40 (( setextAx ) => 131.10/17.40 ( ( emptysetAx ) => 131.10/17.40 ( ( setadjoinAx ) => 131.10/17.40 ( ( powersetAx ) => 131.10/17.40 ( ( setunionAx ) => 131.10/17.40 ( ( omega0Ax ) => 131.10/17.40 ( ( omegaSAx ) => 131.10/17.40 ( ( omegaIndAx ) => 131.10/17.40 ( ( replAx ) => 131.10/17.40 ( ( foundationAx ) => 131.10/17.40 ( ( wellorderingAx ) => 131.10/17.40 ( ( descrp ) => 131.10/17.40 ( ( dsetconstrI ) => 131.10/17.40 ( ( dsetconstrEL ) => 131.10/17.40 ( ( dsetconstrER ) => 131.10/17.40 ( ( exuE1 ) => 131.10/17.40 ( ( prop2setE ) => 131.10/17.40 ( ( emptysetE ) => 131.10/17.40 ( ( emptysetimpfalse ) => 131.10/17.40 ( ( notinemptyset ) => 131.10/17.40 ( ( exuE3e ) => 131.10/17.40 ( ( setext ) => 131.10/17.40 ( ( emptyI ) => 131.10/17.40 ( ( noeltsimpempty ) => 131.10/17.40 ( ( setbeta ) => 131.10/17.40 ( ( nonemptyE1 ) => 131.10/17.40 ( ( nonemptyI ) => 131.10/17.40 ( ( nonemptyI1 ) => 131.10/17.40 ( ( setadjoinIL ) => 131.10/17.40 ( ( emptyinunitempty ) => 131.10/17.40 ( ( setadjoinIR ) => 131.10/17.40 ( ( setadjoinE ) => 131.10/17.40 ( ( 131.10/17.40 setadjoinOr ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setoftrueEq ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 powersetI ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 emptyinPowerset ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 emptyInPowerset ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 powersetE ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setunionI ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setunionE ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 subPowSU ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 exuE2 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 nonemptyImpWitness ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 uniqinunit ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 notinsingleton ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 eqinunit ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 singletonsswitch ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 upairsetE ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 upairsetIL ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 upairsetIR ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 emptyE1 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 vacuousDall ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 quantDeMorgan1 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 quantDeMorgan2 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 quantDeMorgan3 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 quantDeMorgan4 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 prop2setI ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 prop2set2propI ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 notdexE ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 notdallE ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 exuI1 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 exuI3 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 exuI2 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 inCongP ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in__Cong ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 exuE3u ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 exu__Cong ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 emptyset__Cong ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setadjoin__Cong ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 powerset__Cong ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setunion__Cong ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 omega__Cong ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 exuEu ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 descr__Cong ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 dsetconstr__Cong ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 subsetI1 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 eqimpsubset2 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 eqimpsubset1 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 subsetI2 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 emptysetsubset ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 subsetE ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 subsetE2 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 notsubsetI ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 notequalI1 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 notequalI2 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 subsetRefl ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 subsetTrans ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setadjoinSub ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setadjoinSub2 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 subset2powerset ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setextsub ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 subsetemptysetimpeq ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 powersetI1 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 powersetE1 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 inPowerset ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 powersetsubset ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 sepInPowerset ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 sepSubset ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 binunionIL ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 upairset2IR ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 binunionIR ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 binunionEcases ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 binunionE ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 binunionLsub ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 binunionRsub ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 binintersectI ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 binintersectSubset5 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 binintersectEL ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 binintersectLsub ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 binintersectSubset2 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 binintersectSubset3 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 binintersectER ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 disjointsetsI1 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 binintersectRsub ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 binintersectSubset4 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 binintersectSubset1 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 bs114d ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setminusI ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setminusEL ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setminusER ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setminusSubset2 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setminusERneg ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setminusELneg ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setminusILneg ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setminusIRneg ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setminusLsub ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setminusSubset1 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 symdiffE ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 symdiffI1 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 symdiffI2 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 symdiffIneg1 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 symdiffIneg2 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 secondinupair ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setukpairIL ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setukpairIR ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 kpairiskpair ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 kpairp ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 singletonsubset ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 singletoninpowerset ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 singletoninpowunion ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 upairset2E ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 upairsubunion ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 upairinpowunion ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ubforcartprodlem1 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ubforcartprodlem2 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ubforcartprodlem3 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 cartprodpairin ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 cartprodmempair1 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 cartprodmempair ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setunionE2 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setunionsingleton1 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setunionsingleton2 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setunionsingleton ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 singletonprop ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ex1E1 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ex1I ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ex1I2 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 singletonsuniq ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setukpairinjL1 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 kfstsingleton ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 theprop ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 kfstpairEq ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 cartprodfstin ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setukpairinjL2 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setukpairinjL ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setukpairinjR11 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setukpairinjR12 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setukpairinjR1 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 upairequniteq ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setukpairinjR2 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setukpairinjR ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ksndsingleton ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ksndpairEq ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 kpairsurjEq ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 cartprodsndin ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 cartprodpairmemEL ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 cartprodpairmemER ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 cartprodmempaircEq ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 cartprodfstpairEq ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 cartprodsndpairEq ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 cartprodpairsurjEq ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 dpsetconstrI ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 dpsetconstrSub ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setOfPairsIsBReln ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 dpsetconstrERa ) => 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 A:$i,B:$i, 131.10/17.40 Xphi:( 131.10/17.40 $i > $i > 131.10/17.40 $o ), 131.10/17.40 Xx:$i, 131.10/17.40 Xy:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 ( 131.10/17.40 kpair @ 131.10/17.40 Xx @ Xy ) @ 131.10/17.40 ( 131.10/17.40 dpsetconstr 131.10/17.40 @ 131.10/17.40 A @ B @ 131.10/17.40 ( 131.10/17.40 ^[ 131.10/17.40 Xz:$i, 131.10/17.40 Xu:$i]: 131.10/17.40 ( 131.10/17.40 Xphi @ 131.10/17.40 Xz @ Xu ) ) ) ) => 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 Xx @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 131.10/17.40 thf(zf_stmt_0, conjecture, 131.10/17.40 (( ![X4:$i,X6:$i]: 131.10/17.40 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 131.10/17.40 ( ( X4 ) = ( X6 ) ) ) ) => 131.10/17.40 ( ( ![X10:$i]: ( ~( in @ X10 @ emptyset ) ) ) => 131.10/17.40 ( ( ![X12:$i,X14:$i,X16:$i]: 131.10/17.40 ( ( in @ X16 @ ( setadjoin @ X12 @ X14 ) ) <=> 131.10/17.40 ( ( in @ X16 @ X14 ) | ( ( X16 ) = ( X12 ) ) ) ) ) => 131.10/17.40 ( ( ![X18:$i,X20:$i]: 131.10/17.40 ( ( in @ X20 @ ( powerset @ X18 ) ) <=> 131.10/17.40 ( ![X22:$i]: ( ( in @ X22 @ X20 ) => ( in @ X22 @ X18 ) ) ) ) ) => 131.10/17.40 ( ( ![X24:$i,X26:$i]: 131.10/17.40 ( ( in @ X26 @ ( setunion @ X24 ) ) <=> 131.10/17.40 ( ?[X28:$i]: ( ( in @ X26 @ X28 ) & ( in @ X28 @ X24 ) ) ) ) ) => 131.10/17.40 ( ( in @ emptyset @ omega ) => 131.10/17.40 ( ( ![X30:$i]: 131.10/17.40 ( ( in @ X30 @ omega ) => 131.10/17.40 ( in @ ( setadjoin @ X30 @ X30 ) @ omega ) ) ) => 131.10/17.40 ( ( ![X32:$i]: 131.10/17.40 ( ( ( ![X34:$i]: 131.10/17.40 ( ( ( in @ X34 @ X32 ) & ( in @ X34 @ omega ) ) => 131.10/17.40 ( in @ ( setadjoin @ X34 @ X34 ) @ X32 ) ) ) & 131.10/17.40 ( in @ emptyset @ X32 ) ) => 131.10/17.40 ( ![X36:$i]: 131.10/17.40 ( ( in @ X36 @ omega ) => ( in @ X36 @ X32 ) ) ) ) ) => 131.10/17.40 ( ( ![X38:( $i > $i > $o ),X40:$i]: 131.10/17.40 ( ( ![X42:$i]: 131.10/17.40 ( ( in @ X42 @ X40 ) => 131.10/17.40 ( ?[X44:$i]: 131.10/17.40 ( ( X38 @ X42 @ X44 ) & 131.10/17.40 ( ![X46:$i]: 131.10/17.40 ( ( X38 @ X42 @ X46 ) => 131.10/17.40 ( ( X44 ) = ( X46 ) ) ) ) ) ) ) ) => 131.10/17.40 ( ?[X48:$i]: 131.10/17.40 ( ![X50:$i]: 131.10/17.40 ( ( in @ X50 @ X48 ) <=> 131.10/17.40 ( ?[X52:$i]: 131.10/17.40 ( ( in @ X52 @ X40 ) & ( X38 @ X52 @ X50 ) ) ) ) ) ) ) ) => 131.10/17.40 ( ( ![X54:$i]: 131.10/17.40 ( ( ?[X56:$i]: ( in @ X56 @ X54 ) ) => 131.10/17.40 ( ?[X58:$i]: 131.10/17.40 ( ( in @ X58 @ X54 ) & 131.10/17.40 ( ~( ?[X60:$i]: 131.10/17.40 ( ( in @ X60 @ X58 ) & ( in @ X60 @ X54 ) ) ) ) ) ) ) ) => 131.10/17.40 ( ( ![X62:$i]: 131.10/17.40 ( ?[X64:$i]: 131.10/17.40 ( ( ![X96:$i]: 131.10/17.40 ( ( in @ X96 @ X64 ) => 131.10/17.40 ( ![X98:$i]: 131.10/17.40 ( ( in @ X98 @ X96 ) => ( in @ X98 @ X62 ) ) ) ) ) & 131.10/17.40 ( ![X90:$i,X92:$i]: 131.10/17.40 ( ( ( in @ X92 @ X62 ) & ( in @ X90 @ X62 ) ) => 131.10/17.40 ( ( ![X94:$i]: 131.10/17.40 ( ( in @ X94 @ X64 ) => 131.10/17.40 ( ( in @ X90 @ X94 ) <=> 131.10/17.40 ( in @ X92 @ X94 ) ) ) ) => 131.10/17.40 ( ( X90 ) = ( X92 ) ) ) ) ) & 131.10/17.40 ( ![X82:$i,X84:$i]: 131.10/17.40 ( ( ( in @ X84 @ X64 ) & ( in @ X82 @ X64 ) ) => 131.10/17.40 ( ( ![X88:$i]: 131.10/17.40 ( ( in @ X88 @ X84 ) => 131.10/17.40 ( in @ X88 @ X82 ) ) ) | 131.10/17.40 ( ![X86:$i]: 131.10/17.40 ( ( in @ X86 @ X82 ) => 131.10/17.40 ( in @ X86 @ X84 ) ) ) ) ) ) & 131.10/17.40 ( ![X66:$i]: 131.10/17.40 ( ( ( ?[X70:$i]: ( in @ X70 @ X66 ) ) & 131.10/17.40 ( ![X68:$i]: 131.10/17.40 ( ( in @ X68 @ X66 ) => 131.10/17.40 ( in @ X68 @ X62 ) ) ) ) => 131.10/17.40 ( ?[X72:$i,X74:$i]: 131.10/17.40 ( ( in @ X72 @ X64 ) & 131.10/17.40 ( in @ X74 @ X66 ) & 131.10/17.40 ( ~( ?[X80:$i]: 131.10/17.40 ( ( in @ X80 @ X72 ) & 131.10/17.40 ( in @ X80 @ X66 ) ) ) ) & 131.10/17.40 ( ![X76:$i]: 131.10/17.40 ( ( in @ X76 @ X64 ) => 131.10/17.40 ( ( in @ X74 @ X76 ) | 131.10/17.40 ( ![X78:$i]: 131.10/17.40 ( ( in @ X78 @ X76 ) => 131.10/17.40 ( in @ X78 @ X72 ) ) ) ) ) ) ) ) ) ) ) ) ) => 131.10/17.40 ( ( ![X100:( $i > $o )]: 131.10/17.40 ( ( ?[X102:$i]: 131.10/17.40 ( ( X100 @ X102 ) & 131.10/17.40 ( ![X104:$i]: 131.10/17.40 ( ( X100 @ X104 ) => 131.10/17.40 ( ( X102 ) = ( X104 ) ) ) ) ) ) => 131.10/17.40 ( X100 @ 131.10/17.40 ( descr @ ( ^[V_1:$i]: ( X100 @ V_1 ) ) ) ) ) ) => 131.10/17.40 ( ( ![X106:$i,X108:( $i > $o ),X110:$i]: 131.10/17.40 ( ( in @ X110 @ X106 ) => 131.10/17.40 ( ( X108 @ X110 ) => 131.10/17.40 ( in @ 131.10/17.40 X110 @ 131.10/17.40 ( dsetconstr @ 131.10/17.40 X106 @ ( ^[V_2:$i]: ( X108 @ V_2 ) ) ) ) ) ) ) => 131.10/17.40 ( ( ![X112:$i,X114:( $i > $o ),X116:$i]: 131.10/17.40 ( ( in @ 131.10/17.40 X116 @ 131.10/17.40 ( dsetconstr @ 131.10/17.40 X112 @ ( ^[V_3:$i]: ( X114 @ V_3 ) ) ) ) => 131.10/17.40 ( in @ X116 @ X112 ) ) ) => 131.10/17.40 ( ( ![X118:$i,X120:( $i > $o ),X122:$i]: 131.10/17.40 ( ( in @ 131.10/17.40 X122 @ 131.10/17.40 ( dsetconstr @ 131.10/17.40 X118 @ ( ^[V_4:$i]: ( X120 @ V_4 ) ) ) ) => 131.10/17.40 ( X120 @ X122 ) ) ) => 131.10/17.40 ( ( ![X124:( $i > $o )]: 131.10/17.40 ( ( ?[X126:$i]: 131.10/17.40 ( ( X124 @ X126 ) & 131.10/17.40 ( ![X128:$i]: 131.10/17.40 ( ( X124 @ X128 ) => 131.10/17.40 ( ( X126 ) = ( X128 ) ) ) ) ) ) => 131.10/17.40 ( ?[X130:$i]: 131.10/17.40 ( ( X124 @ X130 ) & 131.10/17.40 ( ![X132:$i]: 131.10/17.40 ( ( X124 @ X132 ) => 131.10/17.40 ( ( X130 ) = ( X132 ) ) ) ) ) ) ) ) => 131.10/17.40 ( ( ![X134:$o,X136:$i]: 131.10/17.40 ( ( in @ X136 @ ( prop2set @ X134 ) ) => 131.10/17.40 ( X134 ) ) ) => 131.10/17.40 ( ( ![X138:$i]: 131.10/17.40 ( ( in @ X138 @ emptyset ) => 131.10/17.40 ( ![X140:$o]: ( X140 ) ) ) ) => 131.10/17.40 ( ( ![X142:$i]: 131.10/17.40 ( ( in @ X142 @ emptyset ) => 131.10/17.40 ( $false ) ) ) => 131.10/17.40 ( ( ![X144:$i]: 131.10/17.40 ( ~( in @ X144 @ emptyset ) ) ) => 131.10/17.40 ( ( ![X146:( $i > $o )]: 131.10/17.40 ( ( ?[X148:$i]: 131.10/17.40 ( ( X146 @ X148 ) & 131.10/17.40 ( ![X150:$i]: 131.10/17.40 ( ( X146 @ X150 ) => 131.10/17.40 ( ( X148 ) = ( X150 ) ) ) ) ) ) => 131.10/17.40 ( ?[X152:$i]: ( X146 @ X152 ) ) ) ) => 131.10/17.40 ( ( ![X154:$i,X156:$i]: 131.10/17.40 ( ( ![X158:$i]: 131.10/17.40 ( ( in @ X158 @ X154 ) => 131.10/17.40 ( in @ X158 @ X156 ) ) ) => 131.10/17.40 ( ( ![X160:$i]: 131.10/17.40 ( ( in @ X160 @ X156 ) => 131.10/17.40 ( in @ X160 @ X154 ) ) ) => 131.10/17.40 ( ( X154 ) = ( X156 ) ) ) ) ) => 131.10/17.40 ( ( ![X162:$i]: 131.10/17.40 ( ( ![X164:$i]: 131.10/17.40 ( ~( in @ X164 @ X162 ) ) ) => 131.10/17.40 ( ( X162 ) = ( emptyset ) ) ) ) => 131.10/17.40 ( ( ![X166:$i]: 131.10/17.40 ( ( ![X168:$i]: 131.10/17.40 ( ~( in @ X168 @ X166 ) ) ) => 131.10/17.40 ( ( X166 ) = 131.10/17.40 ( emptyset ) ) ) ) => 131.10/17.40 ( ( ![X170:$i, 131.10/17.40 X172:( $i > $o ), 131.10/17.40 X174:$i]: 131.10/17.40 ( ( in @ X174 @ X170 ) => 131.10/17.40 ( ( in @ 131.10/17.40 X174 @ 131.10/17.40 ( dsetconstr @ 131.10/17.40 X170 @ 131.10/17.40 ( ^[V_5:$i]: 131.10/17.40 ( X172 @ V_5 ) ) ) ) <=> 131.10/17.40 ( X172 @ X174 ) ) ) ) => 131.10/17.40 ( ( ![X176:$i]: 131.10/17.40 ( ( ( X176 ) != 131.10/17.40 ( emptyset ) ) => 131.10/17.40 ( ?[X178:$i]: 131.10/17.40 ( in @ X178 @ X176 ) ) ) ) => 131.10/17.40 ( ( ![X180:$i, 131.10/17.40 X182:( $i > $o ), 131.10/17.40 X184:$i]: 131.10/17.40 ( ( in @ X184 @ X180 ) => 131.10/17.40 ( ( X182 @ X184 ) => 131.10/17.40 ( ( dsetconstr @ 131.10/17.40 X180 @ 131.10/17.40 ( ^[ 131.10/17.40 V_6:$i]: 131.10/17.40 ( 131.10/17.40 X182 @ V_6 ) ) ) != 131.10/17.40 ( emptyset ) ) ) ) ) => 131.10/17.40 ( ( ![X186:$i]: 131.10/17.40 ( ( ?[X188:$i]: 131.10/17.40 ( in @ 131.10/17.40 X188 @ X186 ) ) => 131.10/17.40 ( ( X186 ) != 131.10/17.40 ( emptyset ) ) ) ) => 131.10/17.40 ( ( ![X190:$i, 131.10/17.40 X192:$i]: 131.10/17.40 ( in @ 131.10/17.40 X190 @ 131.10/17.40 ( setadjoin @ 131.10/17.40 X190 @ X192 ) ) ) => 131.10/17.40 ( ( in @ 131.10/17.40 emptyset @ 131.10/17.40 ( setadjoin @ 131.10/17.40 emptyset @ 131.10/17.40 emptyset ) ) => 131.10/17.40 ( ( ![X194:$i, 131.10/17.40 X196:$i, 131.10/17.40 X198:$i]: 131.10/17.40 ( ( 131.10/17.40 in @ 131.10/17.40 X198 @ 131.10/17.40 X196 ) => 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X198 @ 131.10/17.40 ( 131.10/17.40 setadjoin 131.10/17.40 @ 131.10/17.40 X194 @ 131.10/17.40 X196 ) ) ) ) => 131.10/17.40 ( ( ![ 131.10/17.40 X200:$i, 131.10/17.40 X202:$i, 131.10/17.40 X204:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X204 @ 131.10/17.40 ( 131.10/17.40 setadjoin 131.10/17.40 @ 131.10/17.40 X200 @ 131.10/17.40 X202 ) ) => 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X206:$o]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X204 ) = 131.10/17.40 ( 131.10/17.40 X200 ) ) => 131.10/17.40 ( 131.10/17.40 X206 ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X204 @ 131.10/17.40 X202 ) => 131.10/17.40 ( 131.10/17.40 X206 ) ) => 131.10/17.40 ( 131.10/17.40 X206 ) ) ) ) ) ) => 131.10/17.40 ( ( 131.10/17.40 ![ 131.10/17.40 X208:$i, 131.10/17.40 X210:$i, 131.10/17.40 X212:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X212 @ 131.10/17.40 ( 131.10/17.40 setadjoin 131.10/17.40 @ 131.10/17.40 X208 @ 131.10/17.40 X210 ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X212 @ 131.10/17.40 X210 ) | 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X212 ) = 131.10/17.40 ( 131.10/17.40 X208 ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X214:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 dsetconstr 131.10/17.40 @ 131.10/17.40 X214 @ 131.10/17.40 ( 131.10/17.40 ^[ 131.10/17.40 V_7:$i]: 131.10/17.40 ( 131.10/17.40 $true ) ) ) = 131.10/17.40 ( 131.10/17.40 X214 ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X216:$i, 131.10/17.40 X218:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X220:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X220 @ 131.10/17.40 X218 ) => 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X220 @ 131.10/17.40 X216 ) ) ) => 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X218 @ 131.10/17.40 ( 131.10/17.40 powerset @ 131.10/17.40 X216 ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X222:$i]: 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 emptyset @ 131.10/17.40 ( 131.10/17.40 powerset @ 131.10/17.40 X222 ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X224:$i]: 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 emptyset @ 131.10/17.40 ( 131.10/17.40 powerset @ 131.10/17.40 X224 ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X226:$i, 131.10/17.40 X228:$i, 131.10/17.40 X230:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X228 @ 131.10/17.40 ( 131.10/17.40 powerset @ 131.10/17.40 X226 ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X230 @ 131.10/17.40 X228 ) => 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X230 @ 131.10/17.40 X226 ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X232:$i, 131.10/17.40 X234:$i, 131.10/17.40 X236:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X234 @ 131.10/17.40 X236 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X236 @ 131.10/17.40 X232 ) => 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X234 @ 131.10/17.40 ( 131.10/17.40 setunion @ 131.10/17.40 X232 ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X238:$i, 131.10/17.40 X240:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X240 @ 131.10/17.40 ( 131.10/17.40 setunion @ 131.10/17.40 X238 ) ) => 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X242:$o]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X244:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X240 @ 131.10/17.40 X244 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X244 @ 131.10/17.40 X238 ) => 131.10/17.40 ( 131.10/17.40 X242 ) ) ) ) => 131.10/17.40 ( 131.10/17.40 X242 ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X246:$i, 131.10/17.40 X248:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X248 @ 131.10/17.40 X246 ) => 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X248 @ 131.10/17.40 ( 131.10/17.40 powerset @ 131.10/17.40 ( 131.10/17.40 setunion @ 131.10/17.40 X246 ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X250:( 131.10/17.40 $i > $o )]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ?[ 131.10/17.40 X252:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X250 @ 131.10/17.40 X252 ) & 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X254:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X250 @ 131.10/17.40 X254 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X252 ) = 131.10/17.40 ( 131.10/17.40 X254 ) ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ?[ 131.10/17.40 X256:$i]: 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X258:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X250 @ 131.10/17.40 X258 ) <=> 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X258 ) = 131.10/17.40 ( 131.10/17.40 X256 ) ) ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X260:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X260 ) != 131.10/17.40 ( 131.10/17.40 emptyset ) ) => 131.10/17.40 ( 131.10/17.40 ?[ 131.10/17.40 X262:$i]: 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X262 @ 131.10/17.40 X260 ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X264:$i, 131.10/17.40 X266:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X264 @ 131.10/17.40 ( 131.10/17.40 setadjoin 131.10/17.40 @ 131.10/17.40 X266 @ 131.10/17.40 emptyset ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X264 ) = 131.10/17.40 ( 131.10/17.40 X266 ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X268:$i, 131.10/17.40 X270:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X268 ) != 131.10/17.40 ( 131.10/17.40 X270 ) ) => 131.10/17.40 ( 131.10/17.40 ~( 131.10/17.40 in @ 131.10/17.40 X270 @ 131.10/17.40 ( 131.10/17.40 setadjoin 131.10/17.40 @ 131.10/17.40 X268 @ 131.10/17.40 emptyset ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X272:$i, 131.10/17.40 X274:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X272 ) = 131.10/17.40 ( 131.10/17.40 X274 ) ) => 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X272 @ 131.10/17.40 ( 131.10/17.40 setadjoin 131.10/17.40 @ 131.10/17.40 X274 @ 131.10/17.40 emptyset ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X276:$i, 131.10/17.40 X278:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X276 @ 131.10/17.40 ( 131.10/17.40 setadjoin 131.10/17.40 @ 131.10/17.40 X278 @ 131.10/17.40 emptyset ) ) => 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X278 @ 131.10/17.40 ( 131.10/17.40 setadjoin 131.10/17.40 @ 131.10/17.40 X276 @ 131.10/17.40 emptyset ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X280:$i, 131.10/17.40 X282:$i, 131.10/17.40 X284:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X284 @ 131.10/17.40 ( 131.10/17.40 setadjoin 131.10/17.40 @ 131.10/17.40 X280 @ 131.10/17.40 ( 131.10/17.40 setadjoin 131.10/17.40 @ 131.10/17.40 X282 @ 131.10/17.40 emptyset ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X284 ) = 131.10/17.40 ( 131.10/17.40 X282 ) ) | 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X284 ) = 131.10/17.40 ( 131.10/17.40 X280 ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X286:$i, 131.10/17.40 X288:$i]: 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X286 @ 131.10/17.40 ( 131.10/17.40 setadjoin 131.10/17.40 @ 131.10/17.40 X286 @ 131.10/17.40 ( 131.10/17.40 setadjoin 131.10/17.40 @ 131.10/17.40 X288 @ 131.10/17.40 emptyset ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X290:$i, 131.10/17.40 X292:$i]: 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X292 @ 131.10/17.40 ( 131.10/17.40 setadjoin 131.10/17.40 @ 131.10/17.40 X290 @ 131.10/17.40 ( 131.10/17.40 setadjoin 131.10/17.40 @ 131.10/17.40 X292 @ 131.10/17.40 emptyset ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X294:$i, 131.10/17.40 X296:( 131.10/17.40 $i > $o )]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ?[ 131.10/17.40 X298:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X298 @ 131.10/17.40 X294 ) & 131.10/17.40 ( 131.10/17.40 X296 @ 131.10/17.40 X298 ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 dsetconstr 131.10/17.40 @ 131.10/17.40 X294 @ 131.10/17.40 ( 131.10/17.40 ^[ 131.10/17.40 V_8:$i]: 131.10/17.40 ( 131.10/17.40 X296 @ V_8 ) ) ) = 131.10/17.40 ( 131.10/17.40 emptyset ) ) => 131.10/17.40 ( 131.10/17.40 $false ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X300:( 131.10/17.40 $i > $o ), 131.10/17.40 X302:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X302 @ 131.10/17.40 emptyset ) => 131.10/17.40 ( 131.10/17.40 X300 @ 131.10/17.40 X302 ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X304:$i, 131.10/17.40 X306:( 131.10/17.40 $i > $o )]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ~( 131.10/17.40 ![ 131.10/17.40 X308:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X308 @ 131.10/17.40 X304 ) => 131.10/17.40 ( 131.10/17.40 X306 @ 131.10/17.40 X308 ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ?[ 131.10/17.40 X310:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X310 @ 131.10/17.40 X304 ) & 131.10/17.40 ( 131.10/17.40 ~( 131.10/17.40 X306 @ 131.10/17.40 X310 ) ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X312:$i, 131.10/17.40 X314:( 131.10/17.40 $i > $o )]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X316:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X316 @ 131.10/17.40 X312 ) => 131.10/17.40 ( 131.10/17.40 ~( 131.10/17.40 X314 @ 131.10/17.40 X316 ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ~( 131.10/17.40 ?[ 131.10/17.40 X318:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X318 @ 131.10/17.40 X312 ) & 131.10/17.40 ( 131.10/17.40 X314 @ 131.10/17.40 X318 ) ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X320:$i, 131.10/17.40 X322:( 131.10/17.40 $i > $o )]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ~( 131.10/17.40 ?[ 131.10/17.40 X324:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X324 @ 131.10/17.40 X320 ) & 131.10/17.40 ( 131.10/17.40 X322 @ 131.10/17.40 X324 ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X326:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X326 @ 131.10/17.40 X320 ) => 131.10/17.40 ( 131.10/17.40 ~( 131.10/17.40 X322 @ 131.10/17.40 X326 ) ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X328:$i, 131.10/17.40 X330:( 131.10/17.40 $i > $o )]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ?[ 131.10/17.40 X332:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X332 @ 131.10/17.40 X328 ) & 131.10/17.40 ( 131.10/17.40 ~( 131.10/17.40 X330 @ 131.10/17.40 X332 ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ~( 131.10/17.40 ![ 131.10/17.40 X334:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X334 @ 131.10/17.40 X328 ) => 131.10/17.40 ( 131.10/17.40 X330 @ 131.10/17.40 X334 ) ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X336:$o]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X336 ) => 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 emptyset @ 131.10/17.40 ( 131.10/17.40 prop2set @ 131.10/17.40 X336 ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X338:$o]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X338 ) => 131.10/17.40 ( 131.10/17.40 set2prop @ 131.10/17.40 ( 131.10/17.40 prop2set @ 131.10/17.40 X338 ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X340:$i, 131.10/17.40 X342:( 131.10/17.40 $i > $o )]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ~( 131.10/17.40 ?[ 131.10/17.40 X344:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X344 @ 131.10/17.40 X340 ) & 131.10/17.40 ( 131.10/17.40 X342 @ 131.10/17.40 X344 ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X346:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X346 @ 131.10/17.40 X340 ) => 131.10/17.40 ( 131.10/17.40 ~( 131.10/17.40 X342 @ 131.10/17.40 X346 ) ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X348:$i, 131.10/17.40 X350:( 131.10/17.40 $i > $o )]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ~( 131.10/17.40 ![ 131.10/17.40 X352:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X352 @ 131.10/17.40 X348 ) => 131.10/17.40 ( 131.10/17.40 X350 @ 131.10/17.40 X352 ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ?[ 131.10/17.40 X354:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X354 @ 131.10/17.40 X348 ) & 131.10/17.40 ( 131.10/17.40 ~( 131.10/17.40 X350 @ 131.10/17.40 X354 ) ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X356:( 131.10/17.40 $i > $o )]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ?[ 131.10/17.40 X358:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X356 @ 131.10/17.40 X358 ) & 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X360:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X356 @ 131.10/17.40 X360 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X358 ) = 131.10/17.40 ( 131.10/17.40 X360 ) ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ?[ 131.10/17.40 X362:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X356 @ 131.10/17.40 X362 ) & 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X364:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X356 @ 131.10/17.40 X364 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X362 ) = 131.10/17.40 ( 131.10/17.40 X364 ) ) ) ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X366:( 131.10/17.40 $i > $o )]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ?[ 131.10/17.40 X368:$i]: 131.10/17.40 ( 131.10/17.40 X366 @ 131.10/17.40 X368 ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X370:$i, 131.10/17.40 X372:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X366 @ 131.10/17.40 X370 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X366 @ 131.10/17.40 X372 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X370 ) = 131.10/17.40 ( 131.10/17.40 X372 ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ?[ 131.10/17.40 X374:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X366 @ 131.10/17.40 X374 ) & 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X376:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X366 @ 131.10/17.40 X376 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X374 ) = 131.10/17.40 ( 131.10/17.40 X376 ) ) ) ) ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X378:( 131.10/17.40 $i > $o )]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ?[ 131.10/17.40 X380:$i]: 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X382:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X378 @ 131.10/17.40 X382 ) <=> 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X382 ) = 131.10/17.40 ( 131.10/17.40 X380 ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ?[ 131.10/17.40 X384:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X378 @ 131.10/17.40 X384 ) & 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X386:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X378 @ 131.10/17.40 X386 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X384 ) = 131.10/17.40 ( 131.10/17.40 X386 ) ) ) ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X388:$i, 131.10/17.40 X390:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X388 ) = 131.10/17.40 ( 131.10/17.40 X390 ) ) => 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X392:$i, 131.10/17.40 X394:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X392 ) = 131.10/17.40 ( 131.10/17.40 X394 ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X392 @ 131.10/17.40 X388 ) => 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X394 @ 131.10/17.40 X390 ) ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X396:$i, 131.10/17.40 X398:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X396 ) = 131.10/17.40 ( 131.10/17.40 X398 ) ) => 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X400:$i, 131.10/17.40 X402:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X400 ) = 131.10/17.40 ( 131.10/17.40 X402 ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X400 @ 131.10/17.40 X396 ) <=> 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X402 @ 131.10/17.40 X398 ) ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X404:( 131.10/17.40 $i > $o )]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ?[ 131.10/17.40 X406:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X404 @ 131.10/17.40 X406 ) & 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X408:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X404 @ 131.10/17.40 X408 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X406 ) = 131.10/17.40 ( 131.10/17.40 X408 ) ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X410:$i, 131.10/17.40 X412:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X404 @ 131.10/17.40 X410 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X404 @ 131.10/17.40 X412 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X410 ) = 131.10/17.40 ( 131.10/17.40 X412 ) ) ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X414:( 131.10/17.40 $i > $o ), 131.10/17.40 X416:( 131.10/17.40 $i > $o )]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X418:$i, 131.10/17.40 X420:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X418 ) = 131.10/17.40 ( 131.10/17.40 X420 ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X414 @ 131.10/17.40 X418 ) <=> 131.10/17.40 ( 131.10/17.40 X416 @ 131.10/17.40 X420 ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ?[ 131.10/17.40 X422:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X414 @ 131.10/17.40 X422 ) & 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X424:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X414 @ 131.10/17.40 X424 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X422 ) = 131.10/17.40 ( 131.10/17.40 X424 ) ) ) ) ) ) <=> 131.10/17.40 ( 131.10/17.40 ?[ 131.10/17.40 X426:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X416 @ 131.10/17.40 X426 ) & 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X428:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X416 @ 131.10/17.40 X428 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X426 ) = 131.10/17.40 ( 131.10/17.40 X428 ) ) ) ) ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 emptyset ) = 131.10/17.40 ( 131.10/17.40 emptyset ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X430:$i, 131.10/17.40 X432:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X430 ) = 131.10/17.40 ( 131.10/17.40 X432 ) ) => 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X434:$i, 131.10/17.40 X436:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X434 ) = 131.10/17.40 ( 131.10/17.40 X436 ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setadjoin 131.10/17.40 @ 131.10/17.40 X430 @ 131.10/17.40 X434 ) = 131.10/17.40 ( 131.10/17.40 setadjoin 131.10/17.40 @ 131.10/17.40 X432 @ 131.10/17.40 X436 ) ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X438:$i, 131.10/17.40 X440:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X438 ) = 131.10/17.40 ( 131.10/17.40 X440 ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 powerset @ 131.10/17.40 X438 ) = 131.10/17.40 ( 131.10/17.40 powerset @ 131.10/17.40 X440 ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X442:$i, 131.10/17.40 X444:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X442 ) = 131.10/17.40 ( 131.10/17.40 X444 ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 setunion @ 131.10/17.40 X442 ) = 131.10/17.40 ( 131.10/17.40 setunion @ 131.10/17.40 X444 ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 omega ) = 131.10/17.40 ( 131.10/17.40 omega ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X446:( 131.10/17.40 $i > $o )]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ?[ 131.10/17.40 X448:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X446 @ 131.10/17.40 X448 ) & 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X450:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X446 @ 131.10/17.40 X450 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X448 ) = 131.10/17.40 ( 131.10/17.40 X450 ) ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X452:$i, 131.10/17.40 X454:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X446 @ 131.10/17.40 X452 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X446 @ 131.10/17.40 X454 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X452 ) = 131.10/17.40 ( 131.10/17.40 X454 ) ) ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X456:( 131.10/17.40 $i > $o ), 131.10/17.40 X458:( 131.10/17.40 $i > $o )]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X460:$i, 131.10/17.40 X462:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X460 ) = 131.10/17.40 ( 131.10/17.40 X462 ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X456 @ 131.10/17.40 X460 ) <=> 131.10/17.40 ( 131.10/17.40 X458 @ 131.10/17.40 X462 ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ?[ 131.10/17.40 X464:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X456 @ 131.10/17.40 X464 ) & 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X466:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X456 @ 131.10/17.40 X466 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X464 ) = 131.10/17.40 ( 131.10/17.40 X466 ) ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ?[ 131.10/17.40 X468:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X458 @ 131.10/17.40 X468 ) & 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X470:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X458 @ 131.10/17.40 X470 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X468 ) = 131.10/17.40 ( 131.10/17.40 X470 ) ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 descr @ 131.10/17.40 ( 131.10/17.40 ^[ 131.10/17.40 V_9:$i]: 131.10/17.40 ( 131.10/17.40 X456 @ V_9 ) ) ) = 131.10/17.40 ( 131.10/17.40 descr @ 131.10/17.40 ( 131.10/17.40 ^[ 131.10/17.40 V_10:$i]: 131.10/17.40 ( 131.10/17.40 X458 @ 131.10/17.40 V_10 ) ) ) ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X472:$i, 131.10/17.40 X474:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X472 ) = 131.10/17.40 ( 131.10/17.40 X474 ) ) => 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X476:( 131.10/17.40 $i > $o ), 131.10/17.40 X478:( 131.10/17.40 $i > $o )]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X480:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X480 @ 131.10/17.40 X472 ) => 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X482:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X482 @ 131.10/17.40 X474 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X480 ) = 131.10/17.40 ( 131.10/17.40 X482 ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X476 @ 131.10/17.40 X480 ) <=> 131.10/17.40 ( 131.10/17.40 X478 @ 131.10/17.40 X482 ) ) ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 dsetconstr 131.10/17.40 @ 131.10/17.40 X472 @ 131.10/17.40 ( 131.10/17.40 ^[ 131.10/17.40 V_11:$i]: 131.10/17.40 ( 131.10/17.40 X476 @ 131.10/17.40 V_11 ) ) ) = 131.10/17.40 ( 131.10/17.40 dsetconstr 131.10/17.40 @ 131.10/17.40 X474 @ 131.10/17.40 ( 131.10/17.40 ^[ 131.10/17.40 V_12:$i]: 131.10/17.40 ( 131.10/17.40 X478 @ 131.10/17.40 V_12 ) ) ) ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X484:$i, 131.10/17.40 X486:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X488:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X488 @ 131.10/17.40 X484 ) => 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X488 @ 131.10/17.40 X486 ) ) ) => 131.10/17.40 ( 131.10/17.40 subset @ 131.10/17.40 X484 @ 131.10/17.40 X486 ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X490:$i, 131.10/17.40 X492:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X490 ) = 131.10/17.40 ( 131.10/17.40 X492 ) ) => 131.10/17.40 ( 131.10/17.40 subset @ 131.10/17.40 X492 @ 131.10/17.40 X490 ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X494:$i, 131.10/17.40 X496:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X494 ) = 131.10/17.40 ( 131.10/17.40 X496 ) ) => 131.10/17.40 ( 131.10/17.40 subset @ 131.10/17.40 X494 @ 131.10/17.40 X496 ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X498:$i, 131.10/17.40 X500:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X502:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X502 @ 131.10/17.40 X498 ) => 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X502 @ 131.10/17.40 X500 ) ) ) => 131.10/17.40 ( 131.10/17.40 subset @ 131.10/17.40 X498 @ 131.10/17.40 X500 ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X504:$i]: 131.10/17.40 ( 131.10/17.40 subset @ 131.10/17.40 emptyset @ 131.10/17.40 X504 ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X506:$i, 131.10/17.40 X508:$i, 131.10/17.40 X510:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 subset @ 131.10/17.40 X506 @ 131.10/17.40 X508 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X510 @ 131.10/17.40 X506 ) => 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X510 @ 131.10/17.40 X508 ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X512:$i, 131.10/17.40 X514:$i, 131.10/17.40 X516:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 subset @ 131.10/17.40 X512 @ 131.10/17.40 X514 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ~( 131.10/17.40 in @ 131.10/17.40 X516 @ 131.10/17.40 X514 ) ) => 131.10/17.40 ( 131.10/17.40 ~( 131.10/17.40 in @ 131.10/17.40 X516 @ 131.10/17.40 X512 ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X518:$i, 131.10/17.40 X520:$i, 131.10/17.40 X522:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X522 @ 131.10/17.40 X518 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ~( 131.10/17.40 in @ 131.10/17.40 X522 @ 131.10/17.40 X520 ) ) => 131.10/17.40 ( 131.10/17.40 ~( 131.10/17.40 subset @ 131.10/17.40 X518 @ 131.10/17.40 X520 ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X524:$i, 131.10/17.40 X526:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ~( 131.10/17.40 subset @ 131.10/17.40 X524 @ 131.10/17.40 X526 ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X524 ) != 131.10/17.40 ( 131.10/17.40 X526 ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X528:$i, 131.10/17.40 X530:$i, 131.10/17.40 X532:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X532 @ 131.10/17.40 X528 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ~( 131.10/17.40 in @ 131.10/17.40 X532 @ 131.10/17.40 X530 ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X528 ) != 131.10/17.40 ( 131.10/17.40 X530 ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X534:$i]: 131.10/17.40 ( 131.10/17.40 subset @ 131.10/17.40 X534 @ 131.10/17.40 X534 ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X536:$i, 131.10/17.40 X538:$i, 131.10/17.40 X540:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 subset @ 131.10/17.40 X536 @ 131.10/17.40 X538 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 subset @ 131.10/17.40 X538 @ 131.10/17.40 X540 ) => 131.10/17.40 ( 131.10/17.40 subset @ 131.10/17.40 X536 @ 131.10/17.40 X540 ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X542:$i, 131.10/17.40 X544:$i]: 131.10/17.40 ( 131.10/17.40 subset @ 131.10/17.40 X544 @ 131.10/17.40 ( 131.10/17.40 setadjoin 131.10/17.40 @ 131.10/17.40 X542 @ 131.10/17.40 X544 ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X546:$i, 131.10/17.40 X548:$i, 131.10/17.40 X550:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 subset @ 131.10/17.40 X546 @ 131.10/17.40 X550 ) => 131.10/17.40 ( 131.10/17.40 subset @ 131.10/17.40 X546 @ 131.10/17.40 ( 131.10/17.40 setadjoin 131.10/17.40 @ 131.10/17.40 X548 @ 131.10/17.40 X550 ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X552:$i, 131.10/17.40 X554:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 subset @ 131.10/17.40 X552 @ 131.10/17.40 X554 ) => 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X552 @ 131.10/17.40 ( 131.10/17.40 powerset @ 131.10/17.40 X554 ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X556:$i, 131.10/17.40 X558:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 subset @ 131.10/17.40 X556 @ 131.10/17.40 X558 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 subset @ 131.10/17.40 X558 @ 131.10/17.40 X556 ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X556 ) = 131.10/17.40 ( 131.10/17.40 X558 ) ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X560:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 subset @ 131.10/17.40 X560 @ 131.10/17.40 emptyset ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 X560 ) = 131.10/17.40 ( 131.10/17.40 emptyset ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X562:$i, 131.10/17.40 X564:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 subset @ 131.10/17.40 X564 @ 131.10/17.40 X562 ) => 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X564 @ 131.10/17.40 ( 131.10/17.40 powerset @ 131.10/17.40 X562 ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X566:$i, 131.10/17.40 X568:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X568 @ 131.10/17.40 ( 131.10/17.40 powerset @ 131.10/17.40 X566 ) ) => 131.10/17.40 ( 131.10/17.40 subset @ 131.10/17.40 X568 @ 131.10/17.40 X566 ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X570:$i]: 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 X570 @ 131.10/17.40 ( 131.10/17.40 powerset @ 131.10/17.40 X570 ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X572:$i, 131.10/17.40 X574:$i]: 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 subset @ 131.10/17.40 X572 @ 131.10/17.40 X574 ) => 131.10/17.40 ( 131.10/17.40 subset @ 131.10/17.40 ( 131.10/17.40 powerset @ 131.10/17.40 X572 ) @ 131.10/17.40 ( 131.10/17.40 powerset @ 131.10/17.40 X574 ) ) ) ) => 131.10/17.40 ( 131.10/17.40 ( 131.10/17.40 ![ 131.10/17.40 X576:$i, 131.10/17.40 X578:( 131.10/17.40 $i > $o )]: 131.10/17.40 ( 131.10/17.40 in @ 131.10/17.40 ( 131.10/17.40 dsetconstr 131.10/17.40 @ 131.10/17.40 X576 @ 131.10/17.40 ( 131.10/17.40 ^[ 131.10/17.40 V_13:$i]: 131.10/17.40 ( 131.10/17.40 X578 @ 131.10/17.41 V_13 ) ) ) @ 131.10/17.41 ( 131.10/17.41 powerset @ 131.10/17.41 X576 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X580:$i, 131.10/17.41 X582:( 131.10/17.41 $i > $o )]: 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 ( 131.10/17.41 dsetconstr 131.10/17.41 @ 131.10/17.41 X580 @ 131.10/17.41 ( 131.10/17.41 ^[ 131.10/17.41 V_14:$i]: 131.10/17.41 ( 131.10/17.41 X582 @ 131.10/17.41 V_14 ) ) ) @ 131.10/17.41 X580 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X584:$i, 131.10/17.41 X586:$i, 131.10/17.41 X588:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X588 @ 131.10/17.41 X584 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X588 @ 131.10/17.41 ( 131.10/17.41 binunion @ 131.10/17.41 X584 @ 131.10/17.41 X586 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X590:$i, 131.10/17.41 X592:$i]: 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X592 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X590 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X592 @ 131.10/17.41 emptyset ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X594:$i, 131.10/17.41 X596:$i, 131.10/17.41 X598:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X598 @ 131.10/17.41 X596 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X598 @ 131.10/17.41 ( 131.10/17.41 binunion @ 131.10/17.41 X594 @ 131.10/17.41 X596 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X600:$i, 131.10/17.41 X602:$i, 131.10/17.41 X604:$i, 131.10/17.41 X606:$o]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X604 @ 131.10/17.41 ( 131.10/17.41 binunion @ 131.10/17.41 X600 @ 131.10/17.41 X602 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X604 @ 131.10/17.41 X600 ) => 131.10/17.41 ( 131.10/17.41 X606 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X604 @ 131.10/17.41 X602 ) => 131.10/17.41 ( 131.10/17.41 X606 ) ) => 131.10/17.41 ( 131.10/17.41 X606 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X608:$i, 131.10/17.41 X610:$i, 131.10/17.41 X612:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X612 @ 131.10/17.41 ( 131.10/17.41 binunion @ 131.10/17.41 X608 @ 131.10/17.41 X610 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X612 @ 131.10/17.41 X610 ) | 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X612 @ 131.10/17.41 X608 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X614:$i, 131.10/17.41 X616:$i]: 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X614 @ 131.10/17.41 ( 131.10/17.41 binunion @ 131.10/17.41 X614 @ 131.10/17.41 X616 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X618:$i, 131.10/17.41 X620:$i]: 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X620 @ 131.10/17.41 ( 131.10/17.41 binunion @ 131.10/17.41 X618 @ 131.10/17.41 X620 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X622:$i, 131.10/17.41 X624:$i, 131.10/17.41 X626:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X626 @ 131.10/17.41 X622 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X626 @ 131.10/17.41 X624 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X626 @ 131.10/17.41 ( 131.10/17.41 binintersect 131.10/17.41 @ 131.10/17.41 X622 @ 131.10/17.41 X624 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X628:$i, 131.10/17.41 X630:$i, 131.10/17.41 X632:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X632 @ 131.10/17.41 X628 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X632 @ 131.10/17.41 X630 ) => 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X632 @ 131.10/17.41 ( 131.10/17.41 binintersect 131.10/17.41 @ 131.10/17.41 X628 @ 131.10/17.41 X630 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X634:$i, 131.10/17.41 X636:$i, 131.10/17.41 X638:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X638 @ 131.10/17.41 ( 131.10/17.41 binintersect 131.10/17.41 @ 131.10/17.41 X634 @ 131.10/17.41 X636 ) ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X638 @ 131.10/17.41 X634 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X640:$i, 131.10/17.41 X642:$i]: 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 ( 131.10/17.41 binintersect 131.10/17.41 @ 131.10/17.41 X640 @ 131.10/17.41 X642 ) @ 131.10/17.41 X640 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X644:$i, 131.10/17.41 X646:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X644 @ 131.10/17.41 X646 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 binintersect 131.10/17.41 @ 131.10/17.41 X644 @ 131.10/17.41 X646 ) = 131.10/17.41 ( 131.10/17.41 X644 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X648:$i, 131.10/17.41 X650:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 binintersect 131.10/17.41 @ 131.10/17.41 X648 @ 131.10/17.41 X650 ) = 131.10/17.41 ( 131.10/17.41 X650 ) ) => 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X650 @ 131.10/17.41 X648 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X652:$i, 131.10/17.41 X654:$i, 131.10/17.41 X656:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X656 @ 131.10/17.41 ( 131.10/17.41 binintersect 131.10/17.41 @ 131.10/17.41 X652 @ 131.10/17.41 X654 ) ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X656 @ 131.10/17.41 X654 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X658:$i, 131.10/17.41 X660:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 ?[ 131.10/17.41 X662:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X662 @ 131.10/17.41 X658 ) & 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X662 @ 131.10/17.41 X660 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 binintersect 131.10/17.41 @ 131.10/17.41 X658 @ 131.10/17.41 X660 ) = 131.10/17.41 ( 131.10/17.41 emptyset ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X664:$i, 131.10/17.41 X666:$i]: 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 ( 131.10/17.41 binintersect 131.10/17.41 @ 131.10/17.41 X664 @ 131.10/17.41 X666 ) @ 131.10/17.41 X666 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X668:$i, 131.10/17.41 X670:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X670 @ 131.10/17.41 X668 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 binintersect 131.10/17.41 @ 131.10/17.41 X668 @ 131.10/17.41 X670 ) = 131.10/17.41 ( 131.10/17.41 X670 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X672:$i, 131.10/17.41 X674:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 binintersect 131.10/17.41 @ 131.10/17.41 X672 @ 131.10/17.41 X674 ) = 131.10/17.41 ( 131.10/17.41 X672 ) ) => 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X672 @ 131.10/17.41 X674 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X676:$i, 131.10/17.41 X678:$i, 131.10/17.41 X680:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 binintersect 131.10/17.41 @ 131.10/17.41 X676 @ 131.10/17.41 ( 131.10/17.41 binunion @ 131.10/17.41 X678 @ 131.10/17.41 X680 ) ) = 131.10/17.41 ( 131.10/17.41 binunion @ 131.10/17.41 ( 131.10/17.41 binintersect 131.10/17.41 @ 131.10/17.41 X676 @ 131.10/17.41 X678 ) @ 131.10/17.41 ( 131.10/17.41 binintersect 131.10/17.41 @ 131.10/17.41 X676 @ 131.10/17.41 X680 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X682:$i, 131.10/17.41 X684:$i, 131.10/17.41 X686:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X686 @ 131.10/17.41 X682 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X686 @ 131.10/17.41 X684 ) ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X686 @ 131.10/17.41 ( 131.10/17.41 setminus @ 131.10/17.41 X682 @ 131.10/17.41 X684 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X688:$i, 131.10/17.41 X690:$i, 131.10/17.41 X692:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X692 @ 131.10/17.41 ( 131.10/17.41 setminus @ 131.10/17.41 X688 @ 131.10/17.41 X690 ) ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X692 @ 131.10/17.41 X688 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X694:$i, 131.10/17.41 X696:$i, 131.10/17.41 X698:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X698 @ 131.10/17.41 ( 131.10/17.41 setminus @ 131.10/17.41 X694 @ 131.10/17.41 X696 ) ) => 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X698 @ 131.10/17.41 X696 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X700:$i, 131.10/17.41 X702:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X700 @ 131.10/17.41 X702 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 setminus @ 131.10/17.41 X700 @ 131.10/17.41 X702 ) = 131.10/17.41 ( 131.10/17.41 emptyset ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X704:$i, 131.10/17.41 X706:$i, 131.10/17.41 X708:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X708 @ 131.10/17.41 ( 131.10/17.41 setminus 131.10/17.41 @ 131.10/17.41 X704 @ 131.10/17.41 X706 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X708 @ 131.10/17.41 X704 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X708 @ 131.10/17.41 X706 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X710:$i, 131.10/17.41 X712:$i, 131.10/17.41 X714:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X714 @ 131.10/17.41 ( 131.10/17.41 setminus 131.10/17.41 @ 131.10/17.41 X710 @ 131.10/17.41 X712 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X714 @ 131.10/17.41 X712 ) ) => 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X714 @ 131.10/17.41 X710 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X716:$i, 131.10/17.41 X718:$i, 131.10/17.41 X720:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X720 @ 131.10/17.41 X716 ) ) => 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X720 @ 131.10/17.41 ( 131.10/17.41 setminus 131.10/17.41 @ 131.10/17.41 X716 @ 131.10/17.41 X718 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X722:$i, 131.10/17.41 X724:$i, 131.10/17.41 X726:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X726 @ 131.10/17.41 X724 ) => 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X726 @ 131.10/17.41 ( 131.10/17.41 setminus 131.10/17.41 @ 131.10/17.41 X722 @ 131.10/17.41 X724 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X728:$i, 131.10/17.41 X730:$i]: 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 ( 131.10/17.41 setminus @ 131.10/17.41 X728 @ 131.10/17.41 X730 ) @ 131.10/17.41 X728 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X732:$i, 131.10/17.41 X734:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 setminus @ 131.10/17.41 X732 @ 131.10/17.41 X734 ) = 131.10/17.41 ( 131.10/17.41 emptyset ) ) => 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X732 @ 131.10/17.41 X734 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X736:$i, 131.10/17.41 X738:$i, 131.10/17.41 X740:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X740 @ 131.10/17.41 ( 131.10/17.41 symdiff @ 131.10/17.41 X736 @ 131.10/17.41 X738 ) ) => 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X742:$o]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X740 @ 131.10/17.41 X736 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X740 @ 131.10/17.41 X738 ) ) => 131.10/17.41 ( 131.10/17.41 X742 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X740 @ 131.10/17.41 X736 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X740 @ 131.10/17.41 X738 ) => 131.10/17.41 ( 131.10/17.41 X742 ) ) ) => 131.10/17.41 ( 131.10/17.41 X742 ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X744:$i, 131.10/17.41 X746:$i, 131.10/17.41 X748:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X748 @ 131.10/17.41 X744 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X748 @ 131.10/17.41 X746 ) ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X748 @ 131.10/17.41 ( 131.10/17.41 symdiff @ 131.10/17.41 X744 @ 131.10/17.41 X746 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X750:$i, 131.10/17.41 X752:$i, 131.10/17.41 X754:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X754 @ 131.10/17.41 X750 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X754 @ 131.10/17.41 X752 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X754 @ 131.10/17.41 ( 131.10/17.41 symdiff @ 131.10/17.41 X750 @ 131.10/17.41 X752 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X756:$i, 131.10/17.41 X758:$i, 131.10/17.41 X760:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X760 @ 131.10/17.41 X756 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X760 @ 131.10/17.41 X758 ) => 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X760 @ 131.10/17.41 ( 131.10/17.41 symdiff @ 131.10/17.41 X756 @ 131.10/17.41 X758 ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X762:$i, 131.10/17.41 X764:$i, 131.10/17.41 X766:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X766 @ 131.10/17.41 X762 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X766 @ 131.10/17.41 X764 ) ) => 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X766 @ 131.10/17.41 ( 131.10/17.41 symdiff @ 131.10/17.41 X762 @ 131.10/17.41 X764 ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X768:$i, 131.10/17.41 X770:$i]: 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X770 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X768 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X770 @ 131.10/17.41 emptyset ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X772:$i, 131.10/17.41 X774:$i]: 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X772 @ 131.10/17.41 ( 131.10/17.41 setunion @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X772 @ 131.10/17.41 emptyset ) @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X772 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X774 @ 131.10/17.41 emptyset ) ) @ 131.10/17.41 emptyset ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X776:$i, 131.10/17.41 X778:$i]: 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X778 @ 131.10/17.41 ( 131.10/17.41 setunion @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X776 @ 131.10/17.41 emptyset ) @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X776 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X778 @ 131.10/17.41 emptyset ) ) @ 131.10/17.41 emptyset ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X780:$i, 131.10/17.41 X782:$i]: 131.10/17.41 ( 131.10/17.41 iskpair @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X780 @ 131.10/17.41 emptyset ) @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X780 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X782 @ 131.10/17.41 emptyset ) ) @ 131.10/17.41 emptyset ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X784:$i, 131.10/17.41 X786:$i]: 131.10/17.41 ( 131.10/17.41 iskpair @ 131.10/17.41 ( 131.10/17.41 kpair @ 131.10/17.41 X784 @ 131.10/17.41 X786 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X788:$i, 131.10/17.41 X790:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X790 @ 131.10/17.41 X788 ) => 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X790 @ 131.10/17.41 emptyset ) @ 131.10/17.41 X788 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X792:$i, 131.10/17.41 X794:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X794 @ 131.10/17.41 X792 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X794 @ 131.10/17.41 emptyset ) @ 131.10/17.41 ( 131.10/17.41 powerset @ 131.10/17.41 X792 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X796:$i, 131.10/17.41 X798:$i, 131.10/17.41 X800:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X800 @ 131.10/17.41 X796 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X800 @ 131.10/17.41 emptyset ) @ 131.10/17.41 ( 131.10/17.41 powerset @ 131.10/17.41 ( 131.10/17.41 binunion @ 131.10/17.41 X796 @ 131.10/17.41 X798 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X802:$i, 131.10/17.41 X804:$i, 131.10/17.41 X806:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X806 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X802 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X804 @ 131.10/17.41 emptyset ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X806 ) = 131.10/17.41 ( 131.10/17.41 X804 ) ) | 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X806 ) = 131.10/17.41 ( 131.10/17.41 X802 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X808:$i, 131.10/17.41 X810:$i, 131.10/17.41 X812:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X812 @ 131.10/17.41 X808 ) => 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X814:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X814 @ 131.10/17.41 X810 ) => 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X812 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X814 @ 131.10/17.41 emptyset ) ) @ 131.10/17.41 ( 131.10/17.41 binunion @ 131.10/17.41 X808 @ 131.10/17.41 X810 ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X816:$i, 131.10/17.41 X818:$i, 131.10/17.41 X820:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X820 @ 131.10/17.41 X816 ) => 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X822:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X822 @ 131.10/17.41 X818 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X820 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X822 @ 131.10/17.41 emptyset ) ) @ 131.10/17.41 ( 131.10/17.41 powerset @ 131.10/17.41 ( 131.10/17.41 binunion @ 131.10/17.41 X816 @ 131.10/17.41 X818 ) ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X824:$i, 131.10/17.41 X826:$i, 131.10/17.41 X828:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X828 @ 131.10/17.41 X824 ) => 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X830:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X830 @ 131.10/17.41 X826 ) => 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X828 @ 131.10/17.41 emptyset ) @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X828 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X830 @ 131.10/17.41 emptyset ) ) @ 131.10/17.41 emptyset ) ) @ 131.10/17.41 ( 131.10/17.41 powerset @ 131.10/17.41 ( 131.10/17.41 binunion @ 131.10/17.41 X824 @ 131.10/17.41 X826 ) ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X832:$i, 131.10/17.41 X834:$i, 131.10/17.41 X836:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X836 @ 131.10/17.41 X832 ) => 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X838:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X838 @ 131.10/17.41 X834 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X836 @ 131.10/17.41 emptyset ) @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X836 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X838 @ 131.10/17.41 emptyset ) ) @ 131.10/17.41 emptyset ) ) @ 131.10/17.41 ( 131.10/17.41 powerset @ 131.10/17.41 ( 131.10/17.41 powerset @ 131.10/17.41 ( 131.10/17.41 binunion @ 131.10/17.41 X832 @ 131.10/17.41 X834 ) ) ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X840:$i, 131.10/17.41 X842:$i, 131.10/17.41 X844:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X844 @ 131.10/17.41 X840 ) => 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X846:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X846 @ 131.10/17.41 X842 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 ( 131.10/17.41 kpair @ 131.10/17.41 X844 @ 131.10/17.41 X846 ) @ 131.10/17.41 ( 131.10/17.41 powerset @ 131.10/17.41 ( 131.10/17.41 powerset @ 131.10/17.41 ( 131.10/17.41 binunion @ 131.10/17.41 X840 @ 131.10/17.41 X842 ) ) ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X848:$i, 131.10/17.41 X850:$i, 131.10/17.41 X852:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X852 @ 131.10/17.41 X848 ) => 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X854:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X854 @ 131.10/17.41 X850 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 ( 131.10/17.41 kpair @ 131.10/17.41 X852 @ 131.10/17.41 X854 ) @ 131.10/17.41 ( 131.10/17.41 cartprod @ 131.10/17.41 X848 @ 131.10/17.41 X850 ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X856:$i, 131.10/17.41 X858:$i, 131.10/17.41 X860:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X860 @ 131.10/17.41 ( 131.10/17.41 cartprod @ 131.10/17.41 X856 @ 131.10/17.41 X858 ) ) => 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X862:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X862 @ 131.10/17.41 X856 ) & 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X864:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X864 @ 131.10/17.41 X858 ) & 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X860 ) = 131.10/17.41 ( 131.10/17.41 kpair @ 131.10/17.41 X862 @ 131.10/17.41 X864 ) ) ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X866:$i, 131.10/17.41 X868:$i, 131.10/17.41 X870:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X870 @ 131.10/17.41 ( 131.10/17.41 cartprod @ 131.10/17.41 X866 @ 131.10/17.41 X868 ) ) => 131.10/17.41 ( 131.10/17.41 iskpair @ 131.10/17.41 X870 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X872:$i, 131.10/17.41 X874:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X874 @ 131.10/17.41 ( 131.10/17.41 setunion @ 131.10/17.41 X872 ) ) => 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X876:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X876 @ 131.10/17.41 X872 ) & 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X874 @ 131.10/17.41 X876 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X878:$i]: 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 ( 131.10/17.41 setunion @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X878 @ 131.10/17.41 emptyset ) ) @ 131.10/17.41 X878 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X880:$i]: 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X880 @ 131.10/17.41 ( 131.10/17.41 setunion @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X880 @ 131.10/17.41 emptyset ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X882:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 setunion @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X882 @ 131.10/17.41 emptyset ) ) = 131.10/17.41 ( 131.10/17.41 X882 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X884:$i, 131.10/17.41 X886:( 131.10/17.41 $i > $o )]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X888:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X888 @ 131.10/17.41 X884 ) => 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X890:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X890 @ 131.10/17.41 X884 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X886 @ 131.10/17.41 X888 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X886 @ 131.10/17.41 X890 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X888 ) = 131.10/17.41 ( 131.10/17.41 X890 ) ) ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X892:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X892 @ 131.10/17.41 X884 ) & 131.10/17.41 ( 131.10/17.41 X886 @ 131.10/17.41 X892 ) ) ) => 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X894:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X894 @ 131.10/17.41 ( 131.10/17.41 dsetconstr 131.10/17.41 @ 131.10/17.41 X884 @ 131.10/17.41 ( 131.10/17.41 ^[ 131.10/17.41 V_16:$i]: 131.10/17.41 ( 131.10/17.41 X886 @ 131.10/17.41 V_16 ) ) ) ) & 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 dsetconstr 131.10/17.41 @ 131.10/17.41 X884 @ 131.10/17.41 ( 131.10/17.41 ^[ 131.10/17.41 V_15:$i]: 131.10/17.41 ( 131.10/17.41 X886 @ 131.10/17.41 V_15 ) ) ) = 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X894 @ 131.10/17.41 emptyset ) ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X896:$i, 131.10/17.41 X898:( 131.10/17.41 $i > $o )]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X900:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X900 @ 131.10/17.41 ( 131.10/17.41 dsetconstr 131.10/17.41 @ 131.10/17.41 X896 @ 131.10/17.41 ( 131.10/17.41 ^[ 131.10/17.41 V_18:$i]: 131.10/17.41 ( 131.10/17.41 X898 @ 131.10/17.41 V_18 ) ) ) ) & 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 dsetconstr 131.10/17.41 @ 131.10/17.41 X896 @ 131.10/17.41 ( 131.10/17.41 ^[ 131.10/17.41 V_17:$i]: 131.10/17.41 ( 131.10/17.41 X898 @ 131.10/17.41 V_17 ) ) ) = 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X900 @ 131.10/17.41 emptyset ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X902:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X902 @ 131.10/17.41 X896 ) & 131.10/17.41 ( 131.10/17.41 X898 @ 131.10/17.41 X902 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X904:$i, 131.10/17.41 X906:( 131.10/17.41 $i > $o ), 131.10/17.41 X908:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X908 @ 131.10/17.41 X904 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X906 @ 131.10/17.41 X908 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X910:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X910 @ 131.10/17.41 X904 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X906 @ 131.10/17.41 X910 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X910 ) = 131.10/17.41 ( 131.10/17.41 X908 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X912:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X912 @ 131.10/17.41 ( 131.10/17.41 dsetconstr 131.10/17.41 @ 131.10/17.41 X904 @ 131.10/17.41 ( 131.10/17.41 ^[ 131.10/17.41 V_20:$i]: 131.10/17.41 ( 131.10/17.41 X906 @ 131.10/17.41 V_20 ) ) ) ) & 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 dsetconstr 131.10/17.41 @ 131.10/17.41 X904 @ 131.10/17.41 ( 131.10/17.41 ^[ 131.10/17.41 V_19:$i]: 131.10/17.41 ( 131.10/17.41 X906 @ 131.10/17.41 V_19 ) ) ) = 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X912 @ 131.10/17.41 emptyset ) ) ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X914:$i, 131.10/17.41 X916:( 131.10/17.41 $i > $o )]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X918:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X918 @ 131.10/17.41 X914 ) => 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X920:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X920 @ 131.10/17.41 X914 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X916 @ 131.10/17.41 X918 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X916 @ 131.10/17.41 X920 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X918 ) = 131.10/17.41 ( 131.10/17.41 X920 ) ) ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X922:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X922 @ 131.10/17.41 X914 ) & 131.10/17.41 ( 131.10/17.41 X916 @ 131.10/17.41 X922 ) ) ) => 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X924:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X924 @ 131.10/17.41 ( 131.10/17.41 dsetconstr 131.10/17.41 @ 131.10/17.41 X914 @ 131.10/17.41 ( 131.10/17.41 ^[ 131.10/17.41 V_22:$i]: 131.10/17.41 ( 131.10/17.41 X916 @ 131.10/17.41 V_22 ) ) ) ) & 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 dsetconstr 131.10/17.41 @ 131.10/17.41 X914 @ 131.10/17.41 ( 131.10/17.41 ^[ 131.10/17.41 V_21:$i]: 131.10/17.41 ( 131.10/17.41 X916 @ 131.10/17.41 V_21 ) ) ) = 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X924 @ 131.10/17.41 emptyset ) ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X926:$i, 131.10/17.41 X928:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X926 @ 131.10/17.41 emptyset ) = 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X928 @ 131.10/17.41 emptyset ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X926 ) = 131.10/17.41 ( 131.10/17.41 X928 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X930:$i, 131.10/17.41 X932:$i, 131.10/17.41 X934:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X934 @ 131.10/17.41 emptyset ) @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X930 @ 131.10/17.41 emptyset ) @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X930 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X932 @ 131.10/17.41 emptyset ) ) @ 131.10/17.41 emptyset ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X930 ) = 131.10/17.41 ( 131.10/17.41 X934 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X936:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 iskpair @ 131.10/17.41 X936 ) => 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X938:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X938 @ 131.10/17.41 ( 131.10/17.41 dsetconstr 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setunion @ 131.10/17.41 X936 ) @ 131.10/17.41 ( 131.10/17.41 ^[ 131.10/17.41 V_24:$i]: 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 V_24 @ 131.10/17.41 emptyset ) @ 131.10/17.41 X936 ) ) ) ) & 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 dsetconstr 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setunion @ 131.10/17.41 X936 ) @ 131.10/17.41 ( 131.10/17.41 ^[ 131.10/17.41 V_23:$i]: 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 V_23 @ 131.10/17.41 emptyset ) @ 131.10/17.41 X936 ) ) ) = 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X938 @ 131.10/17.41 emptyset ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X940:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X942:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X942 @ 131.10/17.41 X940 ) & 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X940 ) = 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X942 @ 131.10/17.41 emptyset ) ) ) ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 ( 131.10/17.41 setunion @ 131.10/17.41 X940 ) @ 131.10/17.41 X940 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X944:$i, 131.10/17.41 X946:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 kfst @ 131.10/17.41 ( 131.10/17.41 kpair @ 131.10/17.41 X944 @ 131.10/17.41 X946 ) ) = 131.10/17.41 ( 131.10/17.41 X944 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X948:$i, 131.10/17.41 X950:$i, 131.10/17.41 X952:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X952 @ 131.10/17.41 ( 131.10/17.41 cartprod @ 131.10/17.41 X948 @ 131.10/17.41 X950 ) ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 ( 131.10/17.41 kfst @ 131.10/17.41 X952 ) @ 131.10/17.41 X948 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X954:$i, 131.10/17.41 X956:$i, 131.10/17.41 X958:$i, 131.10/17.41 X960:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X954 @ 131.10/17.41 emptyset ) @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X954 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X956 @ 131.10/17.41 emptyset ) ) @ 131.10/17.41 emptyset ) ) = 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X958 @ 131.10/17.41 emptyset ) @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X958 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X960 @ 131.10/17.41 emptyset ) ) @ 131.10/17.41 emptyset ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X954 ) = 131.10/17.41 ( 131.10/17.41 X958 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X962:$i, 131.10/17.41 X964:$i, 131.10/17.41 X966:$i, 131.10/17.41 X968:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 kpair @ 131.10/17.41 X962 @ 131.10/17.41 X964 ) = 131.10/17.41 ( 131.10/17.41 kpair @ 131.10/17.41 X966 @ 131.10/17.41 X968 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X962 ) = 131.10/17.41 ( 131.10/17.41 X966 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X970:$i, 131.10/17.41 X972:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X970 ) = 131.10/17.41 ( 131.10/17.41 X972 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X970 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X972 @ 131.10/17.41 emptyset ) ) = 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X970 @ 131.10/17.41 emptyset ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X974:$i, 131.10/17.41 X976:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X974 ) = 131.10/17.41 ( 131.10/17.41 X976 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X974 @ 131.10/17.41 emptyset ) @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X974 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X976 @ 131.10/17.41 emptyset ) ) @ 131.10/17.41 emptyset ) ) = 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X974 @ 131.10/17.41 emptyset ) @ 131.10/17.41 emptyset ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X978:$i, 131.10/17.41 X980:$i, 131.10/17.41 X982:$i, 131.10/17.41 X984:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X978 @ 131.10/17.41 emptyset ) @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X978 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X980 @ 131.10/17.41 emptyset ) ) @ 131.10/17.41 emptyset ) ) = 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X982 @ 131.10/17.41 emptyset ) @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X982 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X984 @ 131.10/17.41 emptyset ) ) @ 131.10/17.41 emptyset ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X982 ) = 131.10/17.41 ( 131.10/17.41 X984 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X980 ) = 131.10/17.41 ( 131.10/17.41 X984 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X986:$i, 131.10/17.41 X988:$i, 131.10/17.41 X990:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X986 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X988 @ 131.10/17.41 emptyset ) ) = 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X990 @ 131.10/17.41 emptyset ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X986 ) = 131.10/17.41 ( 131.10/17.41 X988 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X992:$i, 131.10/17.41 X994:$i, 131.10/17.41 X996:$i, 131.10/17.41 X998:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X992 @ 131.10/17.41 emptyset ) @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X992 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X994 @ 131.10/17.41 emptyset ) ) @ 131.10/17.41 emptyset ) ) = 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X996 @ 131.10/17.41 emptyset ) @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X996 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X998 @ 131.10/17.41 emptyset ) ) @ 131.10/17.41 emptyset ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X994 ) = 131.10/17.41 ( 131.10/17.41 X998 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X1000:$i, 131.10/17.41 X1002:$i, 131.10/17.41 X1004:$i, 131.10/17.41 X1006:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 kpair @ 131.10/17.41 X1000 @ 131.10/17.41 X1002 ) = 131.10/17.41 ( 131.10/17.41 kpair @ 131.10/17.41 X1004 @ 131.10/17.41 X1006 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X1002 ) = 131.10/17.41 ( 131.10/17.41 X1006 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X1008:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 iskpair @ 131.10/17.41 X1008 ) => 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X1010:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X1010 @ 131.10/17.41 ( 131.10/17.41 dsetconstr 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setunion @ 131.10/17.41 X1008 ) @ 131.10/17.41 ( 131.10/17.41 ^[ 131.10/17.41 V_26:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X1008 ) = 131.10/17.41 ( 131.10/17.41 kpair @ 131.10/17.41 ( 131.10/17.41 kfst @ 131.10/17.41 X1008 ) @ 131.10/17.41 V_26 ) ) ) ) ) & 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 dsetconstr 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setunion @ 131.10/17.41 X1008 ) @ 131.10/17.41 ( 131.10/17.41 ^[ 131.10/17.41 V_25:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X1008 ) = 131.10/17.41 ( 131.10/17.41 kpair @ 131.10/17.41 ( 131.10/17.41 kfst @ 131.10/17.41 X1008 ) @ 131.10/17.41 V_25 ) ) ) ) = 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X1010 @ 131.10/17.41 emptyset ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X1012:$i, 131.10/17.41 X1014:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ksnd @ 131.10/17.41 ( 131.10/17.41 kpair @ 131.10/17.41 X1012 @ 131.10/17.41 X1014 ) ) = 131.10/17.41 ( 131.10/17.41 X1014 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X1016:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 iskpair @ 131.10/17.41 X1016 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 kpair @ 131.10/17.41 ( 131.10/17.41 kfst @ 131.10/17.41 X1016 ) @ 131.10/17.41 ( 131.10/17.41 ksnd @ 131.10/17.41 X1016 ) ) = 131.10/17.41 ( 131.10/17.41 X1016 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X1018:$i, 131.10/17.41 X1020:$i, 131.10/17.41 X1022:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X1022 @ 131.10/17.41 ( 131.10/17.41 cartprod @ 131.10/17.41 X1018 @ 131.10/17.41 X1020 ) ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 ( 131.10/17.41 ksnd @ 131.10/17.41 X1022 ) @ 131.10/17.41 X1020 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X1024:$i, 131.10/17.41 X1026:$i, 131.10/17.41 X1028:$i, 131.10/17.41 X1030:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 ( 131.10/17.41 kpair @ 131.10/17.41 X1028 @ 131.10/17.41 X1030 ) @ 131.10/17.41 ( 131.10/17.41 cartprod @ 131.10/17.41 X1024 @ 131.10/17.41 X1026 ) ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X1028 @ 131.10/17.41 X1024 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X1032:$i, 131.10/17.41 X1034:$i, 131.10/17.41 X1036:$i, 131.10/17.41 X1038:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 ( 131.10/17.41 kpair @ 131.10/17.41 X1036 @ 131.10/17.41 X1038 ) @ 131.10/17.41 ( 131.10/17.41 cartprod @ 131.10/17.41 X1032 @ 131.10/17.41 X1034 ) ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X1038 @ 131.10/17.41 X1034 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X1040:$i, 131.10/17.41 X1042:$i, 131.10/17.41 X1044:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X1044 @ 131.10/17.41 X1040 ) => 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X1046:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X1046 @ 131.10/17.41 X1042 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 kpair @ 131.10/17.41 X1044 @ 131.10/17.41 X1046 ) = 131.10/17.41 ( 131.10/17.41 kpair @ 131.10/17.41 X1044 @ 131.10/17.41 X1046 ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X1048:$i, 131.10/17.41 X1050:$i, 131.10/17.41 X1052:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X1052 @ 131.10/17.41 X1048 ) => 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X1054:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X1054 @ 131.10/17.41 X1050 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 kfst @ 131.10/17.41 ( 131.10/17.41 kpair @ 131.10/17.41 X1052 @ 131.10/17.41 X1054 ) ) = 131.10/17.41 ( 131.10/17.41 X1052 ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X1056:$i, 131.10/17.41 X1058:$i, 131.10/17.41 X1060:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X1060 @ 131.10/17.41 X1056 ) => 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X1062:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X1062 @ 131.10/17.41 X1058 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ksnd @ 131.10/17.41 ( 131.10/17.41 kpair @ 131.10/17.41 X1060 @ 131.10/17.41 X1062 ) ) = 131.10/17.41 ( 131.10/17.41 X1062 ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X1064:$i, 131.10/17.41 X1066:$i, 131.10/17.41 X1068:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X1068 @ 131.10/17.41 ( 131.10/17.41 cartprod @ 131.10/17.41 X1064 @ 131.10/17.41 X1066 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 kpair @ 131.10/17.41 ( 131.10/17.41 kfst @ 131.10/17.41 X1068 ) @ 131.10/17.41 ( 131.10/17.41 ksnd @ 131.10/17.41 X1068 ) ) = 131.10/17.41 ( 131.10/17.41 X1068 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X1070:$i, 131.10/17.41 X1072:$i, 131.10/17.41 X1074:( 131.10/17.41 $i > $i > 131.10/17.41 $o ), 131.10/17.41 X1076:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X1076 @ 131.10/17.41 X1070 ) => 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X1078:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X1078 @ 131.10/17.41 X1072 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X1074 @ 131.10/17.41 X1076 @ 131.10/17.41 X1078 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 ( 131.10/17.41 kpair @ 131.10/17.41 X1076 @ 131.10/17.41 X1078 ) @ 131.10/17.41 ( 131.10/17.41 dsetconstr 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 cartprod @ 131.10/17.41 X1070 @ 131.10/17.41 X1072 ) @ 131.10/17.41 ( 131.10/17.41 ^[ 131.10/17.41 V_27:$i]: 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X1080:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X1080 @ 131.10/17.41 X1070 ) & 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X1082:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X1082 @ 131.10/17.41 X1072 ) & 131.10/17.41 ( 131.10/17.41 X1074 @ 131.10/17.41 X1080 @ 131.10/17.41 X1082 ) & 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 V_27 ) = 131.10/17.41 ( 131.10/17.41 kpair @ 131.10/17.41 X1080 @ 131.10/17.41 X1082 ) ) ) ) ) ) ) ) ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X1084:$i, 131.10/17.41 X1086:$i, 131.10/17.41 X1088:( 131.10/17.41 $i > $i > 131.10/17.41 $o )]: 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 ( 131.10/17.41 dsetconstr 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 cartprod @ 131.10/17.41 X1084 @ 131.10/17.41 X1086 ) @ 131.10/17.41 ( 131.10/17.41 ^[ 131.10/17.41 V_28:$i]: 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X1090:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X1090 @ 131.10/17.41 X1084 ) & 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X1092:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X1092 @ 131.10/17.41 X1086 ) & 131.10/17.41 ( 131.10/17.41 X1088 @ 131.10/17.41 X1090 @ 131.10/17.41 X1092 ) & 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 V_28 ) = 131.10/17.41 ( 131.10/17.41 kpair @ 131.10/17.41 X1090 @ 131.10/17.41 X1092 ) ) ) ) ) ) ) ) @ 131.10/17.41 ( 131.10/17.41 cartprod @ 131.10/17.41 X1084 @ 131.10/17.41 X1086 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X1094:$i, 131.10/17.41 X1096:$i, 131.10/17.41 X1098:( 131.10/17.41 $i > $i > 131.10/17.41 $o )]: 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 ( 131.10/17.41 dsetconstr 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 cartprod @ 131.10/17.41 X1094 @ 131.10/17.41 X1096 ) @ 131.10/17.41 ( 131.10/17.41 ^[ 131.10/17.41 V_29:$i]: 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X1100:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X1100 @ 131.10/17.41 X1094 ) & 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X1102:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X1102 @ 131.10/17.41 X1096 ) & 131.10/17.41 ( 131.10/17.41 X1098 @ 131.10/17.41 X1100 @ 131.10/17.41 X1102 ) & 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 V_29 ) = 131.10/17.41 ( 131.10/17.41 kpair @ 131.10/17.41 X1100 @ 131.10/17.41 X1102 ) ) ) ) ) ) ) ) @ 131.10/17.41 ( 131.10/17.41 cartprod @ 131.10/17.41 X1094 @ 131.10/17.41 X1096 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X1104:$i, 131.10/17.41 X1106:$i, 131.10/17.41 X1108:( 131.10/17.41 $i > $i > 131.10/17.41 $o ), 131.10/17.41 X1110:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X1110 @ 131.10/17.41 X1104 ) => 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X1112:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X1112 @ 131.10/17.41 X1106 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 ( 131.10/17.41 kpair @ 131.10/17.41 X1110 @ 131.10/17.41 X1112 ) @ 131.10/17.41 ( 131.10/17.41 dsetconstr 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 cartprod @ 131.10/17.41 X1104 @ 131.10/17.41 X1106 ) @ 131.10/17.41 ( 131.10/17.41 ^[ 131.10/17.41 V_30:$i]: 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X1114:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X1114 @ 131.10/17.41 X1104 ) & 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X1116:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X1116 @ 131.10/17.41 X1106 ) & 131.10/17.41 ( 131.10/17.41 X1108 @ 131.10/17.41 X1114 @ 131.10/17.41 X1116 ) & 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 V_30 ) = 131.10/17.41 ( 131.10/17.41 kpair @ 131.10/17.41 X1114 @ 131.10/17.41 X1116 ) ) ) ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 X1108 @ 131.10/17.41 X1110 @ 131.10/17.41 X1112 ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X1118:$i, 131.10/17.41 X1120:$i, 131.10/17.41 X1122:( 131.10/17.41 $i > $i > 131.10/17.41 $o ), 131.10/17.41 X1124:$i, 131.10/17.41 X1126:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 ( 131.10/17.41 kpair @ 131.10/17.41 X1124 @ 131.10/17.41 X1126 ) @ 131.10/17.41 ( 131.10/17.41 dsetconstr 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 cartprod @ 131.10/17.41 X1118 @ 131.10/17.41 X1120 ) @ 131.10/17.41 ( 131.10/17.41 ^[ 131.10/17.41 V_31:$i]: 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X1128:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X1128 @ 131.10/17.41 X1118 ) & 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X1130:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X1130 @ 131.10/17.41 X1120 ) & 131.10/17.41 ( 131.10/17.41 X1122 @ 131.10/17.41 X1128 @ 131.10/17.41 X1130 ) & 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 V_31 ) = 131.10/17.41 ( 131.10/17.41 kpair @ 131.10/17.41 X1128 @ 131.10/17.41 X1130 ) ) ) ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X1124 @ 131.10/17.41 X1118 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 131.10/17.41 thf(zf_stmt_1, type, zip_tseitin_5 : $i > ( $i > $o ) > $o). 131.10/17.41 thf(zf_stmt_2, axiom, 131.10/17.41 (![X422:$i,X414:( $i > $o )]: 131.10/17.41 ( ( zip_tseitin_5 @ X422 @ X414 ) <=> 131.10/17.41 ( ( ![X424:$i]: ( zip_tseitin_4 @ X424 @ X422 @ X414 ) ) & 131.10/17.41 ( X414 @ X422 ) ) ))). 131.10/17.41 thf(zf_stmt_3, type, zip_tseitin_4 : $i > $i > ( $i > $o ) > $o). 131.10/17.41 thf(zf_stmt_4, axiom, 131.10/17.41 (![X424:$i,X422:$i,X414:( $i > $o )]: 131.10/17.41 ( ( zip_tseitin_4 @ X424 @ X422 @ X414 ) <=> 131.10/17.41 ( ( X414 @ X424 ) => ( ( X422 ) = ( X424 ) ) ) ))). 131.10/17.41 thf(zf_stmt_5, type, zip_tseitin_3 : $i > $i > $i > ( $i > $i > $o ) > $o). 131.10/17.41 thf(zf_stmt_6, axiom, 131.10/17.41 (![X52:$i,X50:$i,X40:$i,X38:( $i > $i > $o )]: 131.10/17.41 ( ( zip_tseitin_3 @ X52 @ X50 @ X40 @ X38 ) <=> 131.10/17.41 ( ( X38 @ X52 @ X50 ) & ( in @ X52 @ X40 ) ) ))). 131.10/17.41 thf(zf_stmt_7, type, zip_tseitin_2 : $i > $i > $i > $o). 131.10/17.41 thf(zf_stmt_8, axiom, 131.10/17.41 (![X28:$i,X26:$i,X24:$i]: 131.10/17.41 ( ( zip_tseitin_2 @ X28 @ X26 @ X24 ) <=> 131.10/17.41 ( ( in @ X28 @ X24 ) & ( in @ X26 @ X28 ) ) ))). 131.10/17.41 thf(zf_stmt_9, type, zip_tseitin_1 : $i > $i > $i > $o). 131.10/17.41 thf(zf_stmt_10, axiom, 131.10/17.41 (![X22:$i,X20:$i,X18:$i]: 131.10/17.41 ( ( zip_tseitin_1 @ X22 @ X20 @ X18 ) <=> 131.10/17.41 ( ( in @ X22 @ X20 ) => ( in @ X22 @ X18 ) ) ))). 131.10/17.41 thf(zf_stmt_11, type, zip_tseitin_0 : $i > $i > $i > $o). 131.10/17.41 thf(zf_stmt_12, axiom, 131.10/17.41 (![X16:$i,X14:$i,X12:$i]: 131.10/17.41 ( ( zip_tseitin_0 @ X16 @ X14 @ X12 ) <=> 131.10/17.41 ( ( ( X16 ) = ( X12 ) ) | ( in @ X16 @ X14 ) ) ))). 131.10/17.41 thf(zf_stmt_13, conjecture, 131.10/17.41 (( ![X4:$i,X6:$i]: 131.10/17.41 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 131.10/17.41 ( ( X4 ) = ( X6 ) ) ) ) => 131.10/17.41 ( ( ![X10:$i]: ( ~( in @ X10 @ emptyset ) ) ) => 131.10/17.41 ( ( ![X12:$i,X14:$i,X16:$i]: 131.10/17.41 ( ( in @ X16 @ ( setadjoin @ X12 @ X14 ) ) <=> 131.10/17.41 ( zip_tseitin_0 @ X16 @ X14 @ X12 ) ) ) => 131.10/17.41 ( ( ![X18:$i,X20:$i]: 131.10/17.41 ( ( in @ X20 @ ( powerset @ X18 ) ) <=> 131.10/17.41 ( ![X22:$i]: ( zip_tseitin_1 @ X22 @ X20 @ X18 ) ) ) ) => 131.10/17.41 ( ( ![X24:$i,X26:$i]: 131.10/17.41 ( ( in @ X26 @ ( setunion @ X24 ) ) <=> 131.10/17.41 ( ?[X28:$i]: ( zip_tseitin_2 @ X28 @ X26 @ X24 ) ) ) ) => 131.10/17.41 ( ( in @ emptyset @ omega ) => 131.10/17.41 ( ( ![X30:$i]: 131.10/17.41 ( ( in @ X30 @ omega ) => 131.10/17.41 ( in @ ( setadjoin @ X30 @ X30 ) @ omega ) ) ) => 131.10/17.41 ( ( ![X32:$i]: 131.10/17.41 ( ( ( in @ emptyset @ X32 ) & 131.10/17.41 ( ![X34:$i]: 131.10/17.41 ( ( ( in @ X34 @ omega ) & ( in @ X34 @ X32 ) ) => 131.10/17.41 ( in @ ( setadjoin @ X34 @ X34 ) @ X32 ) ) ) ) => 131.10/17.41 ( ![X36:$i]: 131.10/17.41 ( ( in @ X36 @ omega ) => ( in @ X36 @ X32 ) ) ) ) ) => 131.10/17.41 ( ( ![X38:( $i > $i > $o ),X40:$i]: 131.10/17.41 ( ( ![X42:$i]: 131.10/17.41 ( ( in @ X42 @ X40 ) => 131.10/17.41 ( ?[X44:$i]: 131.10/17.41 ( ( ![X46:$i]: 131.10/17.41 ( ( X38 @ X42 @ X46 ) => 131.10/17.41 ( ( X44 ) = ( X46 ) ) ) ) & 131.10/17.41 ( X38 @ X42 @ X44 ) ) ) ) ) => 131.10/17.41 ( ?[X48:$i]: 131.10/17.41 ( ![X50:$i]: 131.10/17.41 ( ( in @ X50 @ X48 ) <=> 131.10/17.41 ( ?[X52:$i]: 131.10/17.41 ( zip_tseitin_3 @ X52 @ X50 @ X40 @ X38 ) ) ) ) ) ) ) => 131.10/17.41 ( ( ![X54:$i]: 131.10/17.41 ( ( ?[X56:$i]: ( in @ X56 @ X54 ) ) => 131.10/17.41 ( ?[X58:$i]: 131.10/17.41 ( ( ~( ?[X60:$i]: 131.10/17.41 ( ( in @ X60 @ X54 ) & ( in @ X60 @ X58 ) ) ) ) & 131.10/17.41 ( in @ X58 @ X54 ) ) ) ) ) => 131.10/17.41 ( ( ![X62:$i]: 131.10/17.41 ( ?[X64:$i]: 131.10/17.41 ( ( ![X66:$i]: 131.10/17.41 ( ( ( ![X68:$i]: 131.10/17.41 ( ( in @ X68 @ X66 ) => 131.10/17.41 ( in @ X68 @ X62 ) ) ) & 131.10/17.41 ( ?[X70:$i]: ( in @ X70 @ X66 ) ) ) => 131.10/17.41 ( ?[X72:$i,X74:$i]: 131.10/17.41 ( ( ![X76:$i]: 131.10/17.41 ( ( in @ X76 @ X64 ) => 131.10/17.41 ( ( ![X78:$i]: 131.10/17.41 ( ( in @ X78 @ X76 ) => 131.10/17.41 ( in @ X78 @ X72 ) ) ) | 131.10/17.41 ( in @ X74 @ X76 ) ) ) ) & 131.10/17.41 ( ~( ?[X80:$i]: 131.10/17.41 ( ( in @ X80 @ X66 ) & 131.10/17.41 ( in @ X80 @ X72 ) ) ) ) & 131.10/17.41 ( in @ X74 @ X66 ) & ( in @ X72 @ X64 ) ) ) ) ) & 131.10/17.41 ( ![X82:$i,X84:$i]: 131.10/17.41 ( ( ( in @ X82 @ X64 ) & ( in @ X84 @ X64 ) ) => 131.10/17.41 ( ( ![X86:$i]: 131.10/17.41 ( ( in @ X86 @ X82 ) => 131.10/17.41 ( in @ X86 @ X84 ) ) ) | 131.10/17.41 ( ![X88:$i]: 131.10/17.41 ( ( in @ X88 @ X84 ) => 131.10/17.41 ( in @ X88 @ X82 ) ) ) ) ) ) & 131.10/17.41 ( ![X90:$i,X92:$i]: 131.10/17.41 ( ( ( in @ X90 @ X62 ) & ( in @ X92 @ X62 ) ) => 131.10/17.41 ( ( ![X94:$i]: 131.10/17.41 ( ( in @ X94 @ X64 ) => 131.10/17.41 ( ( in @ X90 @ X94 ) <=> 131.10/17.41 ( in @ X92 @ X94 ) ) ) ) => 131.10/17.41 ( ( X90 ) = ( X92 ) ) ) ) ) & 131.10/17.41 ( ![X96:$i]: 131.10/17.41 ( ( in @ X96 @ X64 ) => 131.10/17.41 ( ![X98:$i]: 131.10/17.41 ( ( in @ X98 @ X96 ) => ( in @ X98 @ X62 ) ) ) ) ) ) ) ) => 131.10/17.41 ( ( ![X100:( $i > $o )]: 131.10/17.41 ( ( ?[X102:$i]: 131.10/17.41 ( ( ![X104:$i]: 131.10/17.41 ( ( X100 @ X104 ) => 131.10/17.41 ( ( X102 ) = ( X104 ) ) ) ) & 131.10/17.41 ( X100 @ X102 ) ) ) => 131.10/17.41 ( X100 @ 131.10/17.41 ( descr @ ( ^[V_1:$i]: ( X100 @ V_1 ) ) ) ) ) ) => 131.10/17.41 ( ( ![X106:$i,X108:( $i > $o ),X110:$i]: 131.10/17.41 ( ( in @ X110 @ X106 ) => 131.10/17.41 ( ( X108 @ X110 ) => 131.10/17.41 ( in @ 131.10/17.41 X110 @ 131.10/17.41 ( dsetconstr @ 131.10/17.41 X106 @ ( ^[V_2:$i]: ( X108 @ V_2 ) ) ) ) ) ) ) => 131.10/17.41 ( ( ![X112:$i,X114:( $i > $o ),X116:$i]: 131.10/17.41 ( ( in @ 131.10/17.41 X116 @ 131.10/17.41 ( dsetconstr @ 131.10/17.41 X112 @ ( ^[V_3:$i]: ( X114 @ V_3 ) ) ) ) => 131.10/17.41 ( in @ X116 @ X112 ) ) ) => 131.10/17.41 ( ( ![X118:$i,X120:( $i > $o ),X122:$i]: 131.10/17.41 ( ( in @ 131.10/17.41 X122 @ 131.10/17.41 ( dsetconstr @ 131.10/17.41 X118 @ ( ^[V_4:$i]: ( X120 @ V_4 ) ) ) ) => 131.10/17.41 ( X120 @ X122 ) ) ) => 131.10/17.41 ( ( ![X124:( $i > $o )]: 131.10/17.41 ( ( ?[X126:$i]: 131.10/17.41 ( ( ![X128:$i]: 131.10/17.41 ( ( X124 @ X128 ) => 131.10/17.41 ( ( X126 ) = ( X128 ) ) ) ) & 131.10/17.41 ( X124 @ X126 ) ) ) => 131.10/17.41 ( ?[X130:$i]: 131.10/17.41 ( ( ![X132:$i]: 131.10/17.41 ( ( X124 @ X132 ) => 131.10/17.41 ( ( X130 ) = ( X132 ) ) ) ) & 131.10/17.41 ( X124 @ X130 ) ) ) ) ) => 131.10/17.41 ( ( ![X134:$o,X136:$i]: 131.10/17.41 ( ( in @ X136 @ ( prop2set @ X134 ) ) => 131.10/17.41 ( X134 ) ) ) => 131.10/17.41 ( ( ![X138:$i]: 131.10/17.41 ( ( in @ X138 @ emptyset ) => 131.10/17.41 ( ![X140:$o]: ( X140 ) ) ) ) => 131.10/17.41 ( ( ![X142:$i]: 131.10/17.41 ( ~( in @ X142 @ emptyset ) ) ) => 131.10/17.41 ( ( ![X144:$i]: 131.10/17.41 ( ~( in @ X144 @ emptyset ) ) ) => 131.10/17.41 ( ( ![X146:( $i > $o )]: 131.10/17.41 ( ( ?[X148:$i]: 131.10/17.41 ( ( ![X150:$i]: 131.10/17.41 ( ( X146 @ X150 ) => 131.10/17.41 ( ( X148 ) = ( X150 ) ) ) ) & 131.10/17.41 ( X146 @ X148 ) ) ) => 131.10/17.41 ( ?[X152:$i]: ( X146 @ X152 ) ) ) ) => 131.10/17.41 ( ( ![X154:$i,X156:$i]: 131.10/17.41 ( ( ![X158:$i]: 131.10/17.41 ( ( in @ X158 @ X154 ) => 131.10/17.41 ( in @ X158 @ X156 ) ) ) => 131.10/17.41 ( ( ![X160:$i]: 131.10/17.41 ( ( in @ X160 @ X156 ) => 131.10/17.41 ( in @ X160 @ X154 ) ) ) => 131.10/17.41 ( ( X154 ) = ( X156 ) ) ) ) ) => 131.10/17.41 ( ( ![X162:$i]: 131.10/17.41 ( ( ![X164:$i]: 131.10/17.41 ( ~( in @ X164 @ X162 ) ) ) => 131.10/17.41 ( ( X162 ) = ( emptyset ) ) ) ) => 131.10/17.41 ( ( ![X166:$i]: 131.10/17.41 ( ( ![X168:$i]: 131.10/17.41 ( ~( in @ X168 @ X166 ) ) ) => 131.10/17.41 ( ( X166 ) = 131.10/17.41 ( emptyset ) ) ) ) => 131.10/17.41 ( ( ![X170:$i, 131.10/17.41 X172:( $i > $o ), 131.10/17.41 X174:$i]: 131.10/17.41 ( ( in @ X174 @ X170 ) => 131.10/17.41 ( ( in @ 131.10/17.41 X174 @ 131.10/17.41 ( dsetconstr @ 131.10/17.41 X170 @ 131.10/17.41 ( ^[V_5:$i]: 131.10/17.41 ( X172 @ V_5 ) ) ) ) <=> 131.10/17.41 ( X172 @ X174 ) ) ) ) => 131.10/17.41 ( ( ![X176:$i]: 131.10/17.41 ( ( ( X176 ) != 131.10/17.41 ( emptyset ) ) => 131.10/17.41 ( ?[X178:$i]: 131.10/17.41 ( in @ X178 @ X176 ) ) ) ) => 131.10/17.41 ( ( ![X180:$i, 131.10/17.41 X182:( $i > $o ), 131.10/17.41 X184:$i]: 131.10/17.41 ( ( in @ X184 @ X180 ) => 131.10/17.41 ( ( X182 @ X184 ) => 131.10/17.41 ( ( dsetconstr @ 131.10/17.41 X180 @ 131.10/17.41 ( ^[ 131.10/17.41 V_6:$i]: 131.10/17.41 ( 131.10/17.41 X182 @ V_6 ) ) ) != 131.10/17.41 ( emptyset ) ) ) ) ) => 131.10/17.41 ( ( ![X186:$i]: 131.10/17.41 ( ( ?[X188:$i]: 131.10/17.41 ( in @ 131.10/17.41 X188 @ X186 ) ) => 131.10/17.41 ( ( X186 ) != 131.10/17.41 ( emptyset ) ) ) ) => 131.10/17.41 ( ( ![X190:$i, 131.10/17.41 X192:$i]: 131.10/17.41 ( in @ 131.10/17.41 X190 @ 131.10/17.41 ( setadjoin @ 131.10/17.41 X190 @ X192 ) ) ) => 131.10/17.41 ( ( in @ 131.10/17.41 emptyset @ 131.10/17.41 ( setadjoin @ 131.10/17.41 emptyset @ 131.10/17.41 emptyset ) ) => 131.10/17.41 ( ( ![X194:$i, 131.10/17.41 X196:$i, 131.10/17.41 X198:$i]: 131.10/17.41 ( ( 131.10/17.41 in @ 131.10/17.41 X198 @ 131.10/17.41 X196 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X198 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X194 @ 131.10/17.41 X196 ) ) ) ) => 131.10/17.41 ( ( ![ 131.10/17.41 X200:$i, 131.10/17.41 X202:$i, 131.10/17.41 X204:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X204 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X200 @ 131.10/17.41 X202 ) ) => 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X206:$o]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X204 ) = 131.10/17.41 ( 131.10/17.41 X200 ) ) => 131.10/17.41 ( 131.10/17.41 X206 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X204 @ 131.10/17.41 X202 ) => 131.10/17.41 ( 131.10/17.41 X206 ) ) => 131.10/17.41 ( 131.10/17.41 X206 ) ) ) ) ) ) => 131.10/17.41 ( ( 131.10/17.41 ![ 131.10/17.41 X208:$i, 131.10/17.41 X210:$i, 131.10/17.41 X212:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X212 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X208 @ 131.10/17.41 X210 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X212 ) = 131.10/17.41 ( 131.10/17.41 X208 ) ) | 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X212 @ 131.10/17.41 X210 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X214:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 dsetconstr 131.10/17.41 @ 131.10/17.41 X214 @ 131.10/17.41 ( 131.10/17.41 ^[ 131.10/17.41 V_7:$i]: 131.10/17.41 ( 131.10/17.41 $true ) ) ) = 131.10/17.41 ( 131.10/17.41 X214 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X216:$i, 131.10/17.41 X218:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X220:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X220 @ 131.10/17.41 X218 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X220 @ 131.10/17.41 X216 ) ) ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X218 @ 131.10/17.41 ( 131.10/17.41 powerset @ 131.10/17.41 X216 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X222:$i]: 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 emptyset @ 131.10/17.41 ( 131.10/17.41 powerset @ 131.10/17.41 X222 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X224:$i]: 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 emptyset @ 131.10/17.41 ( 131.10/17.41 powerset @ 131.10/17.41 X224 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X226:$i, 131.10/17.41 X228:$i, 131.10/17.41 X230:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X228 @ 131.10/17.41 ( 131.10/17.41 powerset @ 131.10/17.41 X226 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X230 @ 131.10/17.41 X228 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X230 @ 131.10/17.41 X226 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X232:$i, 131.10/17.41 X234:$i, 131.10/17.41 X236:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X234 @ 131.10/17.41 X236 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X236 @ 131.10/17.41 X232 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X234 @ 131.10/17.41 ( 131.10/17.41 setunion @ 131.10/17.41 X232 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X238:$i, 131.10/17.41 X240:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X240 @ 131.10/17.41 ( 131.10/17.41 setunion @ 131.10/17.41 X238 ) ) => 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X242:$o]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X244:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X240 @ 131.10/17.41 X244 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X244 @ 131.10/17.41 X238 ) => 131.10/17.41 ( 131.10/17.41 X242 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 X242 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X246:$i, 131.10/17.41 X248:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X248 @ 131.10/17.41 X246 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X248 @ 131.10/17.41 ( 131.10/17.41 powerset @ 131.10/17.41 ( 131.10/17.41 setunion @ 131.10/17.41 X246 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X250:( 131.10/17.41 $i > $o )]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X252:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X254:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X250 @ 131.10/17.41 X254 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X252 ) = 131.10/17.41 ( 131.10/17.41 X254 ) ) ) ) & 131.10/17.41 ( 131.10/17.41 X250 @ 131.10/17.41 X252 ) ) ) => 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X256:$i]: 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X258:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X250 @ 131.10/17.41 X258 ) <=> 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X258 ) = 131.10/17.41 ( 131.10/17.41 X256 ) ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X260:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X260 ) != 131.10/17.41 ( 131.10/17.41 emptyset ) ) => 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X262:$i]: 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X262 @ 131.10/17.41 X260 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X264:$i, 131.10/17.41 X266:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X264 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X266 @ 131.10/17.41 emptyset ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X264 ) = 131.10/17.41 ( 131.10/17.41 X266 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X268:$i, 131.10/17.41 X270:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X268 ) != 131.10/17.41 ( 131.10/17.41 X270 ) ) => 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X270 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X268 @ 131.10/17.41 emptyset ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X272:$i, 131.10/17.41 X274:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X272 ) = 131.10/17.41 ( 131.10/17.41 X274 ) ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X272 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X274 @ 131.10/17.41 emptyset ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X276:$i, 131.10/17.41 X278:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X276 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X278 @ 131.10/17.41 emptyset ) ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X278 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X276 @ 131.10/17.41 emptyset ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X280:$i, 131.10/17.41 X282:$i, 131.10/17.41 X284:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X284 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X280 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X282 @ 131.10/17.41 emptyset ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X284 ) = 131.10/17.41 ( 131.10/17.41 X280 ) ) | 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X284 ) = 131.10/17.41 ( 131.10/17.41 X282 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X286:$i, 131.10/17.41 X288:$i]: 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X286 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X286 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X288 @ 131.10/17.41 emptyset ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X290:$i, 131.10/17.41 X292:$i]: 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X292 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X290 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X292 @ 131.10/17.41 emptyset ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X294:$i, 131.10/17.41 X296:( 131.10/17.41 $i > $o )]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X298:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X296 @ 131.10/17.41 X298 ) & 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X298 @ 131.10/17.41 X294 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 dsetconstr 131.10/17.41 @ 131.10/17.41 X294 @ 131.10/17.41 ( 131.10/17.41 ^[ 131.10/17.41 V_8:$i]: 131.10/17.41 ( 131.10/17.41 X296 @ V_8 ) ) ) != 131.10/17.41 ( 131.10/17.41 emptyset ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X300:( 131.10/17.41 $i > $o ), 131.10/17.41 X302:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X302 @ 131.10/17.41 emptyset ) => 131.10/17.41 ( 131.10/17.41 X300 @ 131.10/17.41 X302 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X304:$i, 131.10/17.41 X306:( 131.10/17.41 $i > $o )]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 ![ 131.10/17.41 X308:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X308 @ 131.10/17.41 X304 ) => 131.10/17.41 ( 131.10/17.41 X306 @ 131.10/17.41 X308 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X310:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 X306 @ 131.10/17.41 X310 ) ) & 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X310 @ 131.10/17.41 X304 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X312:$i, 131.10/17.41 X314:( 131.10/17.41 $i > $o )]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X316:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X316 @ 131.10/17.41 X312 ) => 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 X314 @ 131.10/17.41 X316 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 ?[ 131.10/17.41 X318:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X314 @ 131.10/17.41 X318 ) & 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X318 @ 131.10/17.41 X312 ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X320:$i, 131.10/17.41 X322:( 131.10/17.41 $i > $o )]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 ?[ 131.10/17.41 X324:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X322 @ 131.10/17.41 X324 ) & 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X324 @ 131.10/17.41 X320 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X326:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X326 @ 131.10/17.41 X320 ) => 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 X322 @ 131.10/17.41 X326 ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X328:$i, 131.10/17.41 X330:( 131.10/17.41 $i > $o )]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X332:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 X330 @ 131.10/17.41 X332 ) ) & 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X332 @ 131.10/17.41 X328 ) ) ) => 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 ![ 131.10/17.41 X334:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X334 @ 131.10/17.41 X328 ) => 131.10/17.41 ( 131.10/17.41 X330 @ 131.10/17.41 X334 ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X336:$o]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X336 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 emptyset @ 131.10/17.41 ( 131.10/17.41 prop2set @ 131.10/17.41 X336 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X338:$o]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X338 ) => 131.10/17.41 ( 131.10/17.41 set2prop @ 131.10/17.41 ( 131.10/17.41 prop2set @ 131.10/17.41 X338 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X340:$i, 131.10/17.41 X342:( 131.10/17.41 $i > $o )]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 ?[ 131.10/17.41 X344:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X342 @ 131.10/17.41 X344 ) & 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X344 @ 131.10/17.41 X340 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X346:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X346 @ 131.10/17.41 X340 ) => 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 X342 @ 131.10/17.41 X346 ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X348:$i, 131.10/17.41 X350:( 131.10/17.41 $i > $o )]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 ![ 131.10/17.41 X352:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X352 @ 131.10/17.41 X348 ) => 131.10/17.41 ( 131.10/17.41 X350 @ 131.10/17.41 X352 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X354:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 X350 @ 131.10/17.41 X354 ) ) & 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X354 @ 131.10/17.41 X348 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X356:( 131.10/17.41 $i > $o )]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X358:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X360:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X356 @ 131.10/17.41 X360 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X358 ) = 131.10/17.41 ( 131.10/17.41 X360 ) ) ) ) & 131.10/17.41 ( 131.10/17.41 X356 @ 131.10/17.41 X358 ) ) ) => 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X362:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X364:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X356 @ 131.10/17.41 X364 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X362 ) = 131.10/17.41 ( 131.10/17.41 X364 ) ) ) ) & 131.10/17.41 ( 131.10/17.41 X356 @ 131.10/17.41 X362 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X366:( 131.10/17.41 $i > $o )]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X368:$i]: 131.10/17.41 ( 131.10/17.41 X366 @ 131.10/17.41 X368 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X370:$i, 131.10/17.41 X372:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X366 @ 131.10/17.41 X370 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X366 @ 131.10/17.41 X372 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X370 ) = 131.10/17.41 ( 131.10/17.41 X372 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X374:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X376:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X366 @ 131.10/17.41 X376 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X374 ) = 131.10/17.41 ( 131.10/17.41 X376 ) ) ) ) & 131.10/17.41 ( 131.10/17.41 X366 @ 131.10/17.41 X374 ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X378:( 131.10/17.41 $i > $o )]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X380:$i]: 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X382:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X378 @ 131.10/17.41 X382 ) <=> 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X382 ) = 131.10/17.41 ( 131.10/17.41 X380 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X384:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X386:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X378 @ 131.10/17.41 X386 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X384 ) = 131.10/17.41 ( 131.10/17.41 X386 ) ) ) ) & 131.10/17.41 ( 131.10/17.41 X378 @ 131.10/17.41 X384 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X388:$i, 131.10/17.41 X390:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X388 ) = 131.10/17.41 ( 131.10/17.41 X390 ) ) => 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X392:$i, 131.10/17.41 X394:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X392 ) = 131.10/17.41 ( 131.10/17.41 X394 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X392 @ 131.10/17.41 X388 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X394 @ 131.10/17.41 X390 ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X396:$i, 131.10/17.41 X398:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X396 ) = 131.10/17.41 ( 131.10/17.41 X398 ) ) => 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X400:$i, 131.10/17.41 X402:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X400 ) = 131.10/17.41 ( 131.10/17.41 X402 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X400 @ 131.10/17.41 X396 ) <=> 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X402 @ 131.10/17.41 X398 ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X404:( 131.10/17.41 $i > $o )]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X406:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X408:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X404 @ 131.10/17.41 X408 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X406 ) = 131.10/17.41 ( 131.10/17.41 X408 ) ) ) ) & 131.10/17.41 ( 131.10/17.41 X404 @ 131.10/17.41 X406 ) ) ) => 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X410:$i, 131.10/17.41 X412:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X404 @ 131.10/17.41 X410 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X404 @ 131.10/17.41 X412 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X410 ) = 131.10/17.41 ( 131.10/17.41 X412 ) ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X414:( 131.10/17.41 $i > $o ), 131.10/17.41 X416:( 131.10/17.41 $i > $o )]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X418:$i, 131.10/17.41 X420:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X418 ) = 131.10/17.41 ( 131.10/17.41 X420 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X414 @ 131.10/17.41 X418 ) <=> 131.10/17.41 ( 131.10/17.41 X416 @ 131.10/17.41 X420 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X422:$i]: 131.10/17.41 ( 131.10/17.41 zip_tseitin_5 131.10/17.41 @ 131.10/17.41 X422 @ 131.10/17.41 X414 ) ) <=> 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X426:$i]: 131.10/17.41 ( 131.10/17.41 zip_tseitin_5 131.10/17.41 @ 131.10/17.41 X426 @ 131.10/17.41 X416 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 emptyset ) = 131.10/17.41 ( 131.10/17.41 emptyset ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X430:$i, 131.10/17.41 X432:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X430 ) = 131.10/17.41 ( 131.10/17.41 X432 ) ) => 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X434:$i, 131.10/17.41 X436:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X434 ) = 131.10/17.41 ( 131.10/17.41 X436 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X430 @ 131.10/17.41 X434 ) = 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X432 @ 131.10/17.41 X436 ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X438:$i, 131.10/17.41 X440:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X438 ) = 131.10/17.41 ( 131.10/17.41 X440 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 powerset @ 131.10/17.41 X438 ) = 131.10/17.41 ( 131.10/17.41 powerset @ 131.10/17.41 X440 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X442:$i, 131.10/17.41 X444:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X442 ) = 131.10/17.41 ( 131.10/17.41 X444 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 setunion @ 131.10/17.41 X442 ) = 131.10/17.41 ( 131.10/17.41 setunion @ 131.10/17.41 X444 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 omega ) = 131.10/17.41 ( 131.10/17.41 omega ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X446:( 131.10/17.41 $i > $o )]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X448:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X450:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X446 @ 131.10/17.41 X450 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X448 ) = 131.10/17.41 ( 131.10/17.41 X450 ) ) ) ) & 131.10/17.41 ( 131.10/17.41 X446 @ 131.10/17.41 X448 ) ) ) => 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X452:$i, 131.10/17.41 X454:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X446 @ 131.10/17.41 X452 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X446 @ 131.10/17.41 X454 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X452 ) = 131.10/17.41 ( 131.10/17.41 X454 ) ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X456:( 131.10/17.41 $i > $o ), 131.10/17.41 X458:( 131.10/17.41 $i > $o )]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X460:$i, 131.10/17.41 X462:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X460 ) = 131.10/17.41 ( 131.10/17.41 X462 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X456 @ 131.10/17.41 X460 ) <=> 131.10/17.41 ( 131.10/17.41 X458 @ 131.10/17.41 X462 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X464:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X466:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X456 @ 131.10/17.41 X466 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X464 ) = 131.10/17.41 ( 131.10/17.41 X466 ) ) ) ) & 131.10/17.41 ( 131.10/17.41 X456 @ 131.10/17.41 X464 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ?[ 131.10/17.41 X468:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X470:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X458 @ 131.10/17.41 X470 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X468 ) = 131.10/17.41 ( 131.10/17.41 X470 ) ) ) ) & 131.10/17.41 ( 131.10/17.41 X458 @ 131.10/17.41 X468 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 descr @ 131.10/17.41 ( 131.10/17.41 ^[ 131.10/17.41 V_9:$i]: 131.10/17.41 ( 131.10/17.41 X456 @ V_9 ) ) ) = 131.10/17.41 ( 131.10/17.41 descr @ 131.10/17.41 ( 131.10/17.41 ^[ 131.10/17.41 V_10:$i]: 131.10/17.41 ( 131.10/17.41 X458 @ 131.10/17.41 V_10 ) ) ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X472:$i, 131.10/17.41 X474:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X472 ) = 131.10/17.41 ( 131.10/17.41 X474 ) ) => 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X476:( 131.10/17.41 $i > $o ), 131.10/17.41 X478:( 131.10/17.41 $i > $o )]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X480:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X480 @ 131.10/17.41 X472 ) => 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X482:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X482 @ 131.10/17.41 X474 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X480 ) = 131.10/17.41 ( 131.10/17.41 X482 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X476 @ 131.10/17.41 X480 ) <=> 131.10/17.41 ( 131.10/17.41 X478 @ 131.10/17.41 X482 ) ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 dsetconstr 131.10/17.41 @ 131.10/17.41 X472 @ 131.10/17.41 ( 131.10/17.41 ^[ 131.10/17.41 V_11:$i]: 131.10/17.41 ( 131.10/17.41 X476 @ 131.10/17.41 V_11 ) ) ) = 131.10/17.41 ( 131.10/17.41 dsetconstr 131.10/17.41 @ 131.10/17.41 X474 @ 131.10/17.41 ( 131.10/17.41 ^[ 131.10/17.41 V_12:$i]: 131.10/17.41 ( 131.10/17.41 X478 @ 131.10/17.41 V_12 ) ) ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X484:$i, 131.10/17.41 X486:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X488:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X488 @ 131.10/17.41 X484 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X488 @ 131.10/17.41 X486 ) ) ) => 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X484 @ 131.10/17.41 X486 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X490:$i, 131.10/17.41 X492:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X490 ) = 131.10/17.41 ( 131.10/17.41 X492 ) ) => 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X492 @ 131.10/17.41 X490 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X494:$i, 131.10/17.41 X496:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X494 ) = 131.10/17.41 ( 131.10/17.41 X496 ) ) => 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X494 @ 131.10/17.41 X496 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X498:$i, 131.10/17.41 X500:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X502:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X502 @ 131.10/17.41 X498 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X502 @ 131.10/17.41 X500 ) ) ) => 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X498 @ 131.10/17.41 X500 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X504:$i]: 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 emptyset @ 131.10/17.41 X504 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X506:$i, 131.10/17.41 X508:$i, 131.10/17.41 X510:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X506 @ 131.10/17.41 X508 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X510 @ 131.10/17.41 X506 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X510 @ 131.10/17.41 X508 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X512:$i, 131.10/17.41 X514:$i, 131.10/17.41 X516:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X512 @ 131.10/17.41 X514 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X516 @ 131.10/17.41 X514 ) ) => 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X516 @ 131.10/17.41 X512 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X518:$i, 131.10/17.41 X520:$i, 131.10/17.41 X522:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X522 @ 131.10/17.41 X518 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X522 @ 131.10/17.41 X520 ) ) => 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 subset @ 131.10/17.41 X518 @ 131.10/17.41 X520 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X524:$i, 131.10/17.41 X526:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 subset @ 131.10/17.41 X524 @ 131.10/17.41 X526 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X524 ) != 131.10/17.41 ( 131.10/17.41 X526 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X528:$i, 131.10/17.41 X530:$i, 131.10/17.41 X532:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X532 @ 131.10/17.41 X528 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X532 @ 131.10/17.41 X530 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X528 ) != 131.10/17.41 ( 131.10/17.41 X530 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X534:$i]: 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X534 @ 131.10/17.41 X534 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X536:$i, 131.10/17.41 X538:$i, 131.10/17.41 X540:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X536 @ 131.10/17.41 X538 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X538 @ 131.10/17.41 X540 ) => 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X536 @ 131.10/17.41 X540 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X542:$i, 131.10/17.41 X544:$i]: 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X544 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X542 @ 131.10/17.41 X544 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X546:$i, 131.10/17.41 X548:$i, 131.10/17.41 X550:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X546 @ 131.10/17.41 X550 ) => 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X546 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X548 @ 131.10/17.41 X550 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X552:$i, 131.10/17.41 X554:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X552 @ 131.10/17.41 X554 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X552 @ 131.10/17.41 ( 131.10/17.41 powerset @ 131.10/17.41 X554 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X556:$i, 131.10/17.41 X558:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X556 @ 131.10/17.41 X558 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X558 @ 131.10/17.41 X556 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X556 ) = 131.10/17.41 ( 131.10/17.41 X558 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X560:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X560 @ 131.10/17.41 emptyset ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X560 ) = 131.10/17.41 ( 131.10/17.41 emptyset ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X562:$i, 131.10/17.41 X564:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X564 @ 131.10/17.41 X562 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X564 @ 131.10/17.41 ( 131.10/17.41 powerset @ 131.10/17.41 X562 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X566:$i, 131.10/17.41 X568:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X568 @ 131.10/17.41 ( 131.10/17.41 powerset @ 131.10/17.41 X566 ) ) => 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X568 @ 131.10/17.41 X566 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X570:$i]: 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X570 @ 131.10/17.41 ( 131.10/17.41 powerset @ 131.10/17.41 X570 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X572:$i, 131.10/17.41 X574:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X572 @ 131.10/17.41 X574 ) => 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 ( 131.10/17.41 powerset @ 131.10/17.41 X572 ) @ 131.10/17.41 ( 131.10/17.41 powerset @ 131.10/17.41 X574 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X576:$i, 131.10/17.41 X578:( 131.10/17.41 $i > $o )]: 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 ( 131.10/17.41 dsetconstr 131.10/17.41 @ 131.10/17.41 X576 @ 131.10/17.41 ( 131.10/17.41 ^[ 131.10/17.41 V_13:$i]: 131.10/17.41 ( 131.10/17.41 X578 @ 131.10/17.41 V_13 ) ) ) @ 131.10/17.41 ( 131.10/17.41 powerset @ 131.10/17.41 X576 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X580:$i, 131.10/17.41 X582:( 131.10/17.41 $i > $o )]: 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 ( 131.10/17.41 dsetconstr 131.10/17.41 @ 131.10/17.41 X580 @ 131.10/17.41 ( 131.10/17.41 ^[ 131.10/17.41 V_14:$i]: 131.10/17.41 ( 131.10/17.41 X582 @ 131.10/17.41 V_14 ) ) ) @ 131.10/17.41 X580 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X584:$i, 131.10/17.41 X586:$i, 131.10/17.41 X588:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X588 @ 131.10/17.41 X584 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X588 @ 131.10/17.41 ( 131.10/17.41 binunion @ 131.10/17.41 X584 @ 131.10/17.41 X586 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X590:$i, 131.10/17.41 X592:$i]: 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X592 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X590 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X592 @ 131.10/17.41 emptyset ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X594:$i, 131.10/17.41 X596:$i, 131.10/17.41 X598:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X598 @ 131.10/17.41 X596 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X598 @ 131.10/17.41 ( 131.10/17.41 binunion @ 131.10/17.41 X594 @ 131.10/17.41 X596 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X600:$i, 131.10/17.41 X602:$i, 131.10/17.41 X604:$i, 131.10/17.41 X606:$o]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X604 @ 131.10/17.41 ( 131.10/17.41 binunion @ 131.10/17.41 X600 @ 131.10/17.41 X602 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X604 @ 131.10/17.41 X600 ) => 131.10/17.41 ( 131.10/17.41 X606 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X604 @ 131.10/17.41 X602 ) => 131.10/17.41 ( 131.10/17.41 X606 ) ) => 131.10/17.41 ( 131.10/17.41 X606 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X608:$i, 131.10/17.41 X610:$i, 131.10/17.41 X612:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X612 @ 131.10/17.41 ( 131.10/17.41 binunion @ 131.10/17.41 X608 @ 131.10/17.41 X610 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X612 @ 131.10/17.41 X608 ) | 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X612 @ 131.10/17.41 X610 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X614:$i, 131.10/17.41 X616:$i]: 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X614 @ 131.10/17.41 ( 131.10/17.41 binunion @ 131.10/17.41 X614 @ 131.10/17.41 X616 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X618:$i, 131.10/17.41 X620:$i]: 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X620 @ 131.10/17.41 ( 131.10/17.41 binunion @ 131.10/17.41 X618 @ 131.10/17.41 X620 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X622:$i, 131.10/17.41 X624:$i, 131.10/17.41 X626:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X626 @ 131.10/17.41 X622 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X626 @ 131.10/17.41 X624 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X626 @ 131.10/17.41 ( 131.10/17.41 binintersect 131.10/17.41 @ 131.10/17.41 X622 @ 131.10/17.41 X624 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X628:$i, 131.10/17.41 X630:$i, 131.10/17.41 X632:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X632 @ 131.10/17.41 X628 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X632 @ 131.10/17.41 X630 ) => 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X632 @ 131.10/17.41 ( 131.10/17.41 binintersect 131.10/17.41 @ 131.10/17.41 X628 @ 131.10/17.41 X630 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X634:$i, 131.10/17.41 X636:$i, 131.10/17.41 X638:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X638 @ 131.10/17.41 ( 131.10/17.41 binintersect 131.10/17.41 @ 131.10/17.41 X634 @ 131.10/17.41 X636 ) ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X638 @ 131.10/17.41 X634 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X640:$i, 131.10/17.41 X642:$i]: 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 ( 131.10/17.41 binintersect 131.10/17.41 @ 131.10/17.41 X640 @ 131.10/17.41 X642 ) @ 131.10/17.41 X640 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X644:$i, 131.10/17.41 X646:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X644 @ 131.10/17.41 X646 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 binintersect 131.10/17.41 @ 131.10/17.41 X644 @ 131.10/17.41 X646 ) = 131.10/17.41 ( 131.10/17.41 X644 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X648:$i, 131.10/17.41 X650:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 binintersect 131.10/17.41 @ 131.10/17.41 X648 @ 131.10/17.41 X650 ) = 131.10/17.41 ( 131.10/17.41 X650 ) ) => 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X650 @ 131.10/17.41 X648 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X652:$i, 131.10/17.41 X654:$i, 131.10/17.41 X656:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X656 @ 131.10/17.41 ( 131.10/17.41 binintersect 131.10/17.41 @ 131.10/17.41 X652 @ 131.10/17.41 X654 ) ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X656 @ 131.10/17.41 X654 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X658:$i, 131.10/17.41 X660:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 ?[ 131.10/17.41 X662:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X662 @ 131.10/17.41 X660 ) & 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X662 @ 131.10/17.41 X658 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 binintersect 131.10/17.41 @ 131.10/17.41 X658 @ 131.10/17.41 X660 ) = 131.10/17.41 ( 131.10/17.41 emptyset ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X664:$i, 131.10/17.41 X666:$i]: 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 ( 131.10/17.41 binintersect 131.10/17.41 @ 131.10/17.41 X664 @ 131.10/17.41 X666 ) @ 131.10/17.41 X666 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X668:$i, 131.10/17.41 X670:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X670 @ 131.10/17.41 X668 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 binintersect 131.10/17.41 @ 131.10/17.41 X668 @ 131.10/17.41 X670 ) = 131.10/17.41 ( 131.10/17.41 X670 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X672:$i, 131.10/17.41 X674:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 binintersect 131.10/17.41 @ 131.10/17.41 X672 @ 131.10/17.41 X674 ) = 131.10/17.41 ( 131.10/17.41 X672 ) ) => 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X672 @ 131.10/17.41 X674 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X676:$i, 131.10/17.41 X678:$i, 131.10/17.41 X680:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 binintersect 131.10/17.41 @ 131.10/17.41 X676 @ 131.10/17.41 ( 131.10/17.41 binunion @ 131.10/17.41 X678 @ 131.10/17.41 X680 ) ) = 131.10/17.41 ( 131.10/17.41 binunion @ 131.10/17.41 ( 131.10/17.41 binintersect 131.10/17.41 @ 131.10/17.41 X676 @ 131.10/17.41 X678 ) @ 131.10/17.41 ( 131.10/17.41 binintersect 131.10/17.41 @ 131.10/17.41 X676 @ 131.10/17.41 X680 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X682:$i, 131.10/17.41 X684:$i, 131.10/17.41 X686:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X686 @ 131.10/17.41 X682 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X686 @ 131.10/17.41 X684 ) ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X686 @ 131.10/17.41 ( 131.10/17.41 setminus @ 131.10/17.41 X682 @ 131.10/17.41 X684 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X688:$i, 131.10/17.41 X690:$i, 131.10/17.41 X692:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X692 @ 131.10/17.41 ( 131.10/17.41 setminus @ 131.10/17.41 X688 @ 131.10/17.41 X690 ) ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X692 @ 131.10/17.41 X688 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X694:$i, 131.10/17.41 X696:$i, 131.10/17.41 X698:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X698 @ 131.10/17.41 ( 131.10/17.41 setminus @ 131.10/17.41 X694 @ 131.10/17.41 X696 ) ) => 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X698 @ 131.10/17.41 X696 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X700:$i, 131.10/17.41 X702:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X700 @ 131.10/17.41 X702 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 setminus @ 131.10/17.41 X700 @ 131.10/17.41 X702 ) = 131.10/17.41 ( 131.10/17.41 emptyset ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X704:$i, 131.10/17.41 X706:$i, 131.10/17.41 X708:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X708 @ 131.10/17.41 ( 131.10/17.41 setminus 131.10/17.41 @ 131.10/17.41 X704 @ 131.10/17.41 X706 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X708 @ 131.10/17.41 X704 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X708 @ 131.10/17.41 X706 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X710:$i, 131.10/17.41 X712:$i, 131.10/17.41 X714:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X714 @ 131.10/17.41 ( 131.10/17.41 setminus 131.10/17.41 @ 131.10/17.41 X710 @ 131.10/17.41 X712 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X714 @ 131.10/17.41 X712 ) ) => 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X714 @ 131.10/17.41 X710 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X716:$i, 131.10/17.41 X718:$i, 131.10/17.41 X720:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X720 @ 131.10/17.41 X716 ) ) => 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X720 @ 131.10/17.41 ( 131.10/17.41 setminus 131.10/17.41 @ 131.10/17.41 X716 @ 131.10/17.41 X718 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X722:$i, 131.10/17.41 X724:$i, 131.10/17.41 X726:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X726 @ 131.10/17.41 X724 ) => 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X726 @ 131.10/17.41 ( 131.10/17.41 setminus 131.10/17.41 @ 131.10/17.41 X722 @ 131.10/17.41 X724 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X728:$i, 131.10/17.41 X730:$i]: 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 ( 131.10/17.41 setminus @ 131.10/17.41 X728 @ 131.10/17.41 X730 ) @ 131.10/17.41 X728 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X732:$i, 131.10/17.41 X734:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 setminus @ 131.10/17.41 X732 @ 131.10/17.41 X734 ) = 131.10/17.41 ( 131.10/17.41 emptyset ) ) => 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 X732 @ 131.10/17.41 X734 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X736:$i, 131.10/17.41 X738:$i, 131.10/17.41 X740:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X740 @ 131.10/17.41 ( 131.10/17.41 symdiff @ 131.10/17.41 X736 @ 131.10/17.41 X738 ) ) => 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X742:$o]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X740 @ 131.10/17.41 X736 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X740 @ 131.10/17.41 X738 ) ) => 131.10/17.41 ( 131.10/17.41 X742 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X740 @ 131.10/17.41 X736 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X740 @ 131.10/17.41 X738 ) => 131.10/17.41 ( 131.10/17.41 X742 ) ) ) => 131.10/17.41 ( 131.10/17.41 X742 ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X744:$i, 131.10/17.41 X746:$i, 131.10/17.41 X748:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X748 @ 131.10/17.41 X744 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X748 @ 131.10/17.41 X746 ) ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X748 @ 131.10/17.41 ( 131.10/17.41 symdiff @ 131.10/17.41 X744 @ 131.10/17.41 X746 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X750:$i, 131.10/17.41 X752:$i, 131.10/17.41 X754:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X754 @ 131.10/17.41 X750 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X754 @ 131.10/17.41 X752 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X754 @ 131.10/17.41 ( 131.10/17.41 symdiff @ 131.10/17.41 X750 @ 131.10/17.41 X752 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X756:$i, 131.10/17.41 X758:$i, 131.10/17.41 X760:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X760 @ 131.10/17.41 X756 ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X760 @ 131.10/17.41 X758 ) => 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X760 @ 131.10/17.41 ( 131.10/17.41 symdiff @ 131.10/17.41 X756 @ 131.10/17.41 X758 ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X762:$i, 131.10/17.41 X764:$i, 131.10/17.41 X766:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X766 @ 131.10/17.41 X762 ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X766 @ 131.10/17.41 X764 ) ) => 131.10/17.41 ( 131.10/17.41 ~( 131.10/17.41 in @ 131.10/17.41 X766 @ 131.10/17.41 ( 131.10/17.41 symdiff @ 131.10/17.41 X762 @ 131.10/17.41 X764 ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X768:$i, 131.10/17.41 X770:$i]: 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X770 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X768 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X770 @ 131.10/17.41 emptyset ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X772:$i, 131.10/17.41 X774:$i]: 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X772 @ 131.10/17.41 ( 131.10/17.41 setunion @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X772 @ 131.10/17.41 emptyset ) @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X772 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X774 @ 131.10/17.41 emptyset ) ) @ 131.10/17.41 emptyset ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X776:$i, 131.10/17.41 X778:$i]: 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X778 @ 131.10/17.41 ( 131.10/17.41 setunion @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X776 @ 131.10/17.41 emptyset ) @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X776 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X778 @ 131.10/17.41 emptyset ) ) @ 131.10/17.41 emptyset ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X780:$i, 131.10/17.41 X782:$i]: 131.10/17.41 ( 131.10/17.41 iskpair @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X780 @ 131.10/17.41 emptyset ) @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X780 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X782 @ 131.10/17.41 emptyset ) ) @ 131.10/17.41 emptyset ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X784:$i, 131.10/17.41 X786:$i]: 131.10/17.41 ( 131.10/17.41 iskpair @ 131.10/17.41 ( 131.10/17.41 kpair @ 131.10/17.41 X784 @ 131.10/17.41 X786 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X788:$i, 131.10/17.41 X790:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X790 @ 131.10/17.41 X788 ) => 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X790 @ 131.10/17.41 emptyset ) @ 131.10/17.41 X788 ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X792:$i, 131.10/17.41 X794:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X794 @ 131.10/17.41 X792 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X794 @ 131.10/17.41 emptyset ) @ 131.10/17.41 ( 131.10/17.41 powerset @ 131.10/17.41 X792 ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X796:$i, 131.10/17.41 X798:$i, 131.10/17.41 X800:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X800 @ 131.10/17.41 X796 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X800 @ 131.10/17.41 emptyset ) @ 131.10/17.41 ( 131.10/17.41 powerset @ 131.10/17.41 ( 131.10/17.41 binunion @ 131.10/17.41 X796 @ 131.10/17.41 X798 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X802:$i, 131.10/17.41 X804:$i, 131.10/17.41 X806:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X806 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X802 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X804 @ 131.10/17.41 emptyset ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X806 ) = 131.10/17.41 ( 131.10/17.41 X802 ) ) | 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 X806 ) = 131.10/17.41 ( 131.10/17.41 X804 ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X808:$i, 131.10/17.41 X810:$i, 131.10/17.41 X812:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X812 @ 131.10/17.41 X808 ) => 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X814:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X814 @ 131.10/17.41 X810 ) => 131.10/17.41 ( 131.10/17.41 subset @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X812 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X814 @ 131.10/17.41 emptyset ) ) @ 131.10/17.41 ( 131.10/17.41 binunion @ 131.10/17.41 X808 @ 131.10/17.41 X810 ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X816:$i, 131.10/17.41 X818:$i, 131.10/17.41 X820:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X820 @ 131.10/17.41 X816 ) => 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X822:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X822 @ 131.10/17.41 X818 ) => 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X820 @ 131.10/17.41 ( 131.10/17.41 setadjoin 131.10/17.41 @ 131.10/17.41 X822 @ 131.10/17.41 emptyset ) ) @ 131.10/17.41 ( 131.10/17.41 powerset @ 131.10/17.41 ( 131.10/17.41 binunion @ 131.10/17.41 X816 @ 131.10/17.41 X818 ) ) ) ) ) ) ) => 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X824:$i, 131.10/17.41 X826:$i, 131.10/17.41 X828:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X828 @ 131.10/17.41 X824 ) => 131.10/17.41 ( 131.10/17.41 ![ 131.10/17.41 X830:$i]: 131.10/17.41 ( 131.10/17.41 ( 131.10/17.41 in @ 131.10/17.41 X830 @ 131.10/17.41 X826 ) => 131.10/17.41 ( 131.10/17.42 subset @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X828 @ 131.10/17.42 emptyset ) @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X828 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X830 @ 131.10/17.42 emptyset ) ) @ 131.10/17.42 emptyset ) ) @ 131.10/17.42 ( 131.10/17.42 powerset @ 131.10/17.42 ( 131.10/17.42 binunion @ 131.10/17.42 X824 @ 131.10/17.42 X826 ) ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X832:$i, 131.10/17.42 X834:$i, 131.10/17.42 X836:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X836 @ 131.10/17.42 X832 ) => 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X838:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X838 @ 131.10/17.42 X834 ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X836 @ 131.10/17.42 emptyset ) @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X836 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X838 @ 131.10/17.42 emptyset ) ) @ 131.10/17.42 emptyset ) ) @ 131.10/17.42 ( 131.10/17.42 powerset @ 131.10/17.42 ( 131.10/17.42 powerset @ 131.10/17.42 ( 131.10/17.42 binunion @ 131.10/17.42 X832 @ 131.10/17.42 X834 ) ) ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X840:$i, 131.10/17.42 X842:$i, 131.10/17.42 X844:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X844 @ 131.10/17.42 X840 ) => 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X846:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X846 @ 131.10/17.42 X842 ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 X844 @ 131.10/17.42 X846 ) @ 131.10/17.42 ( 131.10/17.42 powerset @ 131.10/17.42 ( 131.10/17.42 powerset @ 131.10/17.42 ( 131.10/17.42 binunion @ 131.10/17.42 X840 @ 131.10/17.42 X842 ) ) ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X848:$i, 131.10/17.42 X850:$i, 131.10/17.42 X852:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X852 @ 131.10/17.42 X848 ) => 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X854:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X854 @ 131.10/17.42 X850 ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 X852 @ 131.10/17.42 X854 ) @ 131.10/17.42 ( 131.10/17.42 cartprod @ 131.10/17.42 X848 @ 131.10/17.42 X850 ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X856:$i, 131.10/17.42 X858:$i, 131.10/17.42 X860:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X860 @ 131.10/17.42 ( 131.10/17.42 cartprod @ 131.10/17.42 X856 @ 131.10/17.42 X858 ) ) => 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X862:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X864:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X860 ) = 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 X862 @ 131.10/17.42 X864 ) ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X864 @ 131.10/17.42 X858 ) ) ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X862 @ 131.10/17.42 X856 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X866:$i, 131.10/17.42 X868:$i, 131.10/17.42 X870:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X870 @ 131.10/17.42 ( 131.10/17.42 cartprod @ 131.10/17.42 X866 @ 131.10/17.42 X868 ) ) => 131.10/17.42 ( 131.10/17.42 iskpair @ 131.10/17.42 X870 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X872:$i, 131.10/17.42 X874:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X874 @ 131.10/17.42 ( 131.10/17.42 setunion @ 131.10/17.42 X872 ) ) => 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X876:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X874 @ 131.10/17.42 X876 ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X876 @ 131.10/17.42 X872 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X878:$i]: 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 ( 131.10/17.42 setunion @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X878 @ 131.10/17.42 emptyset ) ) @ 131.10/17.42 X878 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X880:$i]: 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X880 @ 131.10/17.42 ( 131.10/17.42 setunion @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X880 @ 131.10/17.42 emptyset ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X882:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 setunion @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X882 @ 131.10/17.42 emptyset ) ) = 131.10/17.42 ( 131.10/17.42 X882 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X884:$i, 131.10/17.42 X886:( 131.10/17.42 $i > $o )]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X888:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X888 @ 131.10/17.42 X884 ) => 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X890:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X890 @ 131.10/17.42 X884 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X886 @ 131.10/17.42 X888 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X886 @ 131.10/17.42 X890 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X888 ) = 131.10/17.42 ( 131.10/17.42 X890 ) ) ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X892:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X886 @ 131.10/17.42 X892 ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X892 @ 131.10/17.42 X884 ) ) ) => 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X894:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 X884 @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_15:$i]: 131.10/17.42 ( 131.10/17.42 X886 @ 131.10/17.42 V_15 ) ) ) = 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X894 @ 131.10/17.42 emptyset ) ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X894 @ 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 X884 @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_16:$i]: 131.10/17.42 ( 131.10/17.42 X886 @ 131.10/17.42 V_16 ) ) ) ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X896:$i, 131.10/17.42 X898:( 131.10/17.42 $i > $o )]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X900:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 X896 @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_17:$i]: 131.10/17.42 ( 131.10/17.42 X898 @ 131.10/17.42 V_17 ) ) ) = 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X900 @ 131.10/17.42 emptyset ) ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X900 @ 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 X896 @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_18:$i]: 131.10/17.42 ( 131.10/17.42 X898 @ 131.10/17.42 V_18 ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X902:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X898 @ 131.10/17.42 X902 ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X902 @ 131.10/17.42 X896 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X904:$i, 131.10/17.42 X906:( 131.10/17.42 $i > $o ), 131.10/17.42 X908:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X908 @ 131.10/17.42 X904 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X906 @ 131.10/17.42 X908 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X910:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X910 @ 131.10/17.42 X904 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X906 @ 131.10/17.42 X910 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X910 ) = 131.10/17.42 ( 131.10/17.42 X908 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X912:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 X904 @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_19:$i]: 131.10/17.42 ( 131.10/17.42 X906 @ 131.10/17.42 V_19 ) ) ) = 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X912 @ 131.10/17.42 emptyset ) ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X912 @ 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 X904 @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_20:$i]: 131.10/17.42 ( 131.10/17.42 X906 @ 131.10/17.42 V_20 ) ) ) ) ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X914:$i, 131.10/17.42 X916:( 131.10/17.42 $i > $o )]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X918:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X918 @ 131.10/17.42 X914 ) => 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X920:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X920 @ 131.10/17.42 X914 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X916 @ 131.10/17.42 X918 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X916 @ 131.10/17.42 X920 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X918 ) = 131.10/17.42 ( 131.10/17.42 X920 ) ) ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X922:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X916 @ 131.10/17.42 X922 ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X922 @ 131.10/17.42 X914 ) ) ) => 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X924:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 X914 @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_21:$i]: 131.10/17.42 ( 131.10/17.42 X916 @ 131.10/17.42 V_21 ) ) ) = 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X924 @ 131.10/17.42 emptyset ) ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X924 @ 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 X914 @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_22:$i]: 131.10/17.42 ( 131.10/17.42 X916 @ 131.10/17.42 V_22 ) ) ) ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X926:$i, 131.10/17.42 X928:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X926 @ 131.10/17.42 emptyset ) = 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X928 @ 131.10/17.42 emptyset ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X926 ) = 131.10/17.42 ( 131.10/17.42 X928 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X930:$i, 131.10/17.42 X932:$i, 131.10/17.42 X934:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X934 @ 131.10/17.42 emptyset ) @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X930 @ 131.10/17.42 emptyset ) @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X930 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X932 @ 131.10/17.42 emptyset ) ) @ 131.10/17.42 emptyset ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X930 ) = 131.10/17.42 ( 131.10/17.42 X934 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X936:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 iskpair @ 131.10/17.42 X936 ) => 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X938:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setunion @ 131.10/17.42 X936 ) @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_23:$i]: 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 V_23 @ 131.10/17.42 emptyset ) @ 131.10/17.42 X936 ) ) ) = 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X938 @ 131.10/17.42 emptyset ) ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X938 @ 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setunion @ 131.10/17.42 X936 ) @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_24:$i]: 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 V_24 @ 131.10/17.42 emptyset ) @ 131.10/17.42 X936 ) ) ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X940:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X942:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X940 ) = 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X942 @ 131.10/17.42 emptyset ) ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X942 @ 131.10/17.42 X940 ) ) ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 ( 131.10/17.42 setunion @ 131.10/17.42 X940 ) @ 131.10/17.42 X940 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X944:$i, 131.10/17.42 X946:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 kfst @ 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 X944 @ 131.10/17.42 X946 ) ) = 131.10/17.42 ( 131.10/17.42 X944 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X948:$i, 131.10/17.42 X950:$i, 131.10/17.42 X952:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X952 @ 131.10/17.42 ( 131.10/17.42 cartprod @ 131.10/17.42 X948 @ 131.10/17.42 X950 ) ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 ( 131.10/17.42 kfst @ 131.10/17.42 X952 ) @ 131.10/17.42 X948 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X954:$i, 131.10/17.42 X956:$i, 131.10/17.42 X958:$i, 131.10/17.42 X960:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X954 @ 131.10/17.42 emptyset ) @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X954 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X956 @ 131.10/17.42 emptyset ) ) @ 131.10/17.42 emptyset ) ) = 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X958 @ 131.10/17.42 emptyset ) @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X958 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X960 @ 131.10/17.42 emptyset ) ) @ 131.10/17.42 emptyset ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X954 ) = 131.10/17.42 ( 131.10/17.42 X958 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X962:$i, 131.10/17.42 X964:$i, 131.10/17.42 X966:$i, 131.10/17.42 X968:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 X962 @ 131.10/17.42 X964 ) = 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 X966 @ 131.10/17.42 X968 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X962 ) = 131.10/17.42 ( 131.10/17.42 X966 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X970:$i, 131.10/17.42 X972:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X970 ) = 131.10/17.42 ( 131.10/17.42 X972 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X970 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X972 @ 131.10/17.42 emptyset ) ) = 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X970 @ 131.10/17.42 emptyset ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X974:$i, 131.10/17.42 X976:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X974 ) = 131.10/17.42 ( 131.10/17.42 X976 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X974 @ 131.10/17.42 emptyset ) @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X974 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X976 @ 131.10/17.42 emptyset ) ) @ 131.10/17.42 emptyset ) ) = 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X974 @ 131.10/17.42 emptyset ) @ 131.10/17.42 emptyset ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X978:$i, 131.10/17.42 X980:$i, 131.10/17.42 X982:$i, 131.10/17.42 X984:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X978 @ 131.10/17.42 emptyset ) @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X978 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X980 @ 131.10/17.42 emptyset ) ) @ 131.10/17.42 emptyset ) ) = 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X982 @ 131.10/17.42 emptyset ) @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X982 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X984 @ 131.10/17.42 emptyset ) ) @ 131.10/17.42 emptyset ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X982 ) = 131.10/17.42 ( 131.10/17.42 X984 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X980 ) = 131.10/17.42 ( 131.10/17.42 X984 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X986:$i, 131.10/17.42 X988:$i, 131.10/17.42 X990:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X986 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X988 @ 131.10/17.42 emptyset ) ) = 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X990 @ 131.10/17.42 emptyset ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X986 ) = 131.10/17.42 ( 131.10/17.42 X988 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X992:$i, 131.10/17.42 X994:$i, 131.10/17.42 X996:$i, 131.10/17.42 X998:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X992 @ 131.10/17.42 emptyset ) @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X992 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X994 @ 131.10/17.42 emptyset ) ) @ 131.10/17.42 emptyset ) ) = 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X996 @ 131.10/17.42 emptyset ) @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X996 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X998 @ 131.10/17.42 emptyset ) ) @ 131.10/17.42 emptyset ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X994 ) = 131.10/17.42 ( 131.10/17.42 X998 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X1000:$i, 131.10/17.42 X1002:$i, 131.10/17.42 X1004:$i, 131.10/17.42 X1006:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 X1000 @ 131.10/17.42 X1002 ) = 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 X1004 @ 131.10/17.42 X1006 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X1002 ) = 131.10/17.42 ( 131.10/17.42 X1006 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X1008:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 iskpair @ 131.10/17.42 X1008 ) => 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X1010:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setunion @ 131.10/17.42 X1008 ) @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_25:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X1008 ) = 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 ( 131.10/17.42 kfst @ 131.10/17.42 X1008 ) @ 131.10/17.42 V_25 ) ) ) ) = 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X1010 @ 131.10/17.42 emptyset ) ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X1010 @ 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setunion @ 131.10/17.42 X1008 ) @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_26:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X1008 ) = 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 ( 131.10/17.42 kfst @ 131.10/17.42 X1008 ) @ 131.10/17.42 V_26 ) ) ) ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X1012:$i, 131.10/17.42 X1014:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ksnd @ 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 X1012 @ 131.10/17.42 X1014 ) ) = 131.10/17.42 ( 131.10/17.42 X1014 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X1016:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 iskpair @ 131.10/17.42 X1016 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 ( 131.10/17.42 kfst @ 131.10/17.42 X1016 ) @ 131.10/17.42 ( 131.10/17.42 ksnd @ 131.10/17.42 X1016 ) ) = 131.10/17.42 ( 131.10/17.42 X1016 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X1018:$i, 131.10/17.42 X1020:$i, 131.10/17.42 X1022:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X1022 @ 131.10/17.42 ( 131.10/17.42 cartprod @ 131.10/17.42 X1018 @ 131.10/17.42 X1020 ) ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 ( 131.10/17.42 ksnd @ 131.10/17.42 X1022 ) @ 131.10/17.42 X1020 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X1024:$i, 131.10/17.42 X1026:$i, 131.10/17.42 X1028:$i, 131.10/17.42 X1030:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 X1028 @ 131.10/17.42 X1030 ) @ 131.10/17.42 ( 131.10/17.42 cartprod @ 131.10/17.42 X1024 @ 131.10/17.42 X1026 ) ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X1028 @ 131.10/17.42 X1024 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X1032:$i, 131.10/17.42 X1034:$i, 131.10/17.42 X1036:$i, 131.10/17.42 X1038:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 X1036 @ 131.10/17.42 X1038 ) @ 131.10/17.42 ( 131.10/17.42 cartprod @ 131.10/17.42 X1032 @ 131.10/17.42 X1034 ) ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X1038 @ 131.10/17.42 X1034 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X1040:$i, 131.10/17.42 X1042:$i, 131.10/17.42 X1044:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X1044 @ 131.10/17.42 X1040 ) => 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X1046:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X1046 @ 131.10/17.42 X1042 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 X1044 @ 131.10/17.42 X1046 ) = 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 X1044 @ 131.10/17.42 X1046 ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X1048:$i, 131.10/17.42 X1050:$i, 131.10/17.42 X1052:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X1052 @ 131.10/17.42 X1048 ) => 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X1054:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X1054 @ 131.10/17.42 X1050 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 kfst @ 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 X1052 @ 131.10/17.42 X1054 ) ) = 131.10/17.42 ( 131.10/17.42 X1052 ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X1056:$i, 131.10/17.42 X1058:$i, 131.10/17.42 X1060:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X1060 @ 131.10/17.42 X1056 ) => 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X1062:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X1062 @ 131.10/17.42 X1058 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ksnd @ 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 X1060 @ 131.10/17.42 X1062 ) ) = 131.10/17.42 ( 131.10/17.42 X1062 ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X1064:$i, 131.10/17.42 X1066:$i, 131.10/17.42 X1068:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X1068 @ 131.10/17.42 ( 131.10/17.42 cartprod @ 131.10/17.42 X1064 @ 131.10/17.42 X1066 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 ( 131.10/17.42 kfst @ 131.10/17.42 X1068 ) @ 131.10/17.42 ( 131.10/17.42 ksnd @ 131.10/17.42 X1068 ) ) = 131.10/17.42 ( 131.10/17.42 X1068 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X1070:$i, 131.10/17.42 X1072:$i, 131.10/17.42 X1074:( 131.10/17.42 $i > $i > 131.10/17.42 $o ), 131.10/17.42 X1076:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X1076 @ 131.10/17.42 X1070 ) => 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X1078:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X1078 @ 131.10/17.42 X1072 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X1074 @ 131.10/17.42 X1076 @ 131.10/17.42 X1078 ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 X1076 @ 131.10/17.42 X1078 ) @ 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 cartprod @ 131.10/17.42 X1070 @ 131.10/17.42 X1072 ) @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_27:$i]: 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X1080:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X1080 @ 131.10/17.42 X1070 ) & 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X1082:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X1082 @ 131.10/17.42 X1072 ) & 131.10/17.42 ( 131.10/17.42 X1074 @ 131.10/17.42 X1080 @ 131.10/17.42 X1082 ) & 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 V_27 ) = 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 X1080 @ 131.10/17.42 X1082 ) ) ) ) ) ) ) ) ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X1084:$i, 131.10/17.42 X1086:$i, 131.10/17.42 X1088:( 131.10/17.42 $i > $i > 131.10/17.42 $o )]: 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 cartprod @ 131.10/17.42 X1084 @ 131.10/17.42 X1086 ) @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_28:$i]: 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X1090:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X1090 @ 131.10/17.42 X1084 ) & 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X1092:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X1092 @ 131.10/17.42 X1086 ) & 131.10/17.42 ( 131.10/17.42 X1088 @ 131.10/17.42 X1090 @ 131.10/17.42 X1092 ) & 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 V_28 ) = 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 X1090 @ 131.10/17.42 X1092 ) ) ) ) ) ) ) ) @ 131.10/17.42 ( 131.10/17.42 cartprod @ 131.10/17.42 X1084 @ 131.10/17.42 X1086 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X1094:$i, 131.10/17.42 X1096:$i, 131.10/17.42 X1098:( 131.10/17.42 $i > $i > 131.10/17.42 $o )]: 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 cartprod @ 131.10/17.42 X1094 @ 131.10/17.42 X1096 ) @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_29:$i]: 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X1100:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X1100 @ 131.10/17.42 X1094 ) & 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X1102:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X1102 @ 131.10/17.42 X1096 ) & 131.10/17.42 ( 131.10/17.42 X1098 @ 131.10/17.42 X1100 @ 131.10/17.42 X1102 ) & 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 V_29 ) = 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 X1100 @ 131.10/17.42 X1102 ) ) ) ) ) ) ) ) @ 131.10/17.42 ( 131.10/17.42 cartprod @ 131.10/17.42 X1094 @ 131.10/17.42 X1096 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X1104:$i, 131.10/17.42 X1106:$i, 131.10/17.42 X1108:( 131.10/17.42 $i > $i > 131.10/17.42 $o ), 131.10/17.42 X1110:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X1110 @ 131.10/17.42 X1104 ) => 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X1112:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X1112 @ 131.10/17.42 X1106 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 X1110 @ 131.10/17.42 X1112 ) @ 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 cartprod @ 131.10/17.42 X1104 @ 131.10/17.42 X1106 ) @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_30:$i]: 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X1114:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X1114 @ 131.10/17.42 X1104 ) & 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X1116:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X1116 @ 131.10/17.42 X1106 ) & 131.10/17.42 ( 131.10/17.42 X1108 @ 131.10/17.42 X1114 @ 131.10/17.42 X1116 ) & 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 V_30 ) = 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 X1114 @ 131.10/17.42 X1116 ) ) ) ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 X1108 @ 131.10/17.42 X1110 @ 131.10/17.42 X1112 ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X1118:$i, 131.10/17.42 X1120:$i, 131.10/17.42 X1122:( 131.10/17.42 $i > $i > 131.10/17.42 $o ), 131.10/17.42 X1124:$i, 131.10/17.42 X1126:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 X1124 @ 131.10/17.42 X1126 ) @ 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 cartprod @ 131.10/17.42 X1118 @ 131.10/17.42 X1120 ) @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_31:$i]: 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X1128:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X1128 @ 131.10/17.42 X1118 ) & 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X1130:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X1130 @ 131.10/17.42 X1120 ) & 131.10/17.42 ( 131.10/17.42 X1122 @ 131.10/17.42 X1128 @ 131.10/17.42 X1130 ) & 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 V_31 ) = 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 X1128 @ 131.10/17.42 X1130 ) ) ) ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X1124 @ 131.10/17.42 X1118 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 131.10/17.42 thf(zf_stmt_14, negated_conjecture, 131.10/17.42 (~( ( ![X4:$i,X6:$i]: 131.10/17.42 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 131.10/17.42 ( ( X4 ) = ( X6 ) ) ) ) => 131.10/17.42 ( ( ![X10:$i]: ( ~( in @ X10 @ emptyset ) ) ) => 131.10/17.42 ( ( ![X12:$i,X14:$i,X16:$i]: 131.10/17.42 ( ( in @ X16 @ ( setadjoin @ X12 @ X14 ) ) <=> 131.10/17.42 ( zip_tseitin_0 @ X16 @ X14 @ X12 ) ) ) => 131.10/17.42 ( ( ![X18:$i,X20:$i]: 131.10/17.42 ( ( in @ X20 @ ( powerset @ X18 ) ) <=> 131.10/17.42 ( ![X22:$i]: ( zip_tseitin_1 @ X22 @ X20 @ X18 ) ) ) ) => 131.10/17.42 ( ( ![X24:$i,X26:$i]: 131.10/17.42 ( ( in @ X26 @ ( setunion @ X24 ) ) <=> 131.10/17.42 ( ?[X28:$i]: ( zip_tseitin_2 @ X28 @ X26 @ X24 ) ) ) ) => 131.10/17.42 ( ( in @ emptyset @ omega ) => 131.10/17.42 ( ( ![X30:$i]: 131.10/17.42 ( ( in @ X30 @ omega ) => 131.10/17.42 ( in @ ( setadjoin @ X30 @ X30 ) @ omega ) ) ) => 131.10/17.42 ( ( ![X32:$i]: 131.10/17.42 ( ( ( in @ emptyset @ X32 ) & 131.10/17.42 ( ![X34:$i]: 131.10/17.42 ( ( ( in @ X34 @ omega ) & ( in @ X34 @ X32 ) ) => 131.10/17.42 ( in @ ( setadjoin @ X34 @ X34 ) @ X32 ) ) ) ) => 131.10/17.42 ( ![X36:$i]: 131.10/17.42 ( ( in @ X36 @ omega ) => ( in @ X36 @ X32 ) ) ) ) ) => 131.10/17.42 ( ( ![X38:( $i > $i > $o ),X40:$i]: 131.10/17.42 ( ( ![X42:$i]: 131.10/17.42 ( ( in @ X42 @ X40 ) => 131.10/17.42 ( ?[X44:$i]: 131.10/17.42 ( ( ![X46:$i]: 131.10/17.42 ( ( X38 @ X42 @ X46 ) => 131.10/17.42 ( ( X44 ) = ( X46 ) ) ) ) & 131.10/17.42 ( X38 @ X42 @ X44 ) ) ) ) ) => 131.10/17.42 ( ?[X48:$i]: 131.10/17.42 ( ![X50:$i]: 131.10/17.42 ( ( in @ X50 @ X48 ) <=> 131.10/17.42 ( ?[X52:$i]: 131.10/17.42 ( zip_tseitin_3 @ X52 @ X50 @ X40 @ X38 ) ) ) ) ) ) ) => 131.10/17.42 ( ( ![X54:$i]: 131.10/17.42 ( ( ?[X56:$i]: ( in @ X56 @ X54 ) ) => 131.10/17.42 ( ?[X58:$i]: 131.10/17.42 ( ( ~( ?[X60:$i]: 131.10/17.42 ( ( in @ X60 @ X54 ) & 131.10/17.42 ( in @ X60 @ X58 ) ) ) ) & 131.10/17.42 ( in @ X58 @ X54 ) ) ) ) ) => 131.10/17.42 ( ( ![X62:$i]: 131.10/17.42 ( ?[X64:$i]: 131.10/17.42 ( ( ![X66:$i]: 131.10/17.42 ( ( ( ![X68:$i]: 131.10/17.42 ( ( in @ X68 @ X66 ) => 131.10/17.42 ( in @ X68 @ X62 ) ) ) & 131.10/17.42 ( ?[X70:$i]: ( in @ X70 @ X66 ) ) ) => 131.10/17.42 ( ?[X72:$i,X74:$i]: 131.10/17.42 ( ( ![X76:$i]: 131.10/17.42 ( ( in @ X76 @ X64 ) => 131.10/17.42 ( ( ![X78:$i]: 131.10/17.42 ( ( in @ X78 @ X76 ) => 131.10/17.42 ( in @ X78 @ X72 ) ) ) | 131.10/17.42 ( in @ X74 @ X76 ) ) ) ) & 131.10/17.42 ( ~( ?[X80:$i]: 131.10/17.42 ( ( in @ X80 @ X66 ) & 131.10/17.42 ( in @ X80 @ X72 ) ) ) ) & 131.10/17.42 ( in @ X74 @ X66 ) & 131.10/17.42 ( in @ X72 @ X64 ) ) ) ) ) & 131.10/17.42 ( ![X82:$i,X84:$i]: 131.10/17.42 ( ( ( in @ X82 @ X64 ) & ( in @ X84 @ X64 ) ) => 131.10/17.42 ( ( ![X86:$i]: 131.10/17.42 ( ( in @ X86 @ X82 ) => 131.10/17.42 ( in @ X86 @ X84 ) ) ) | 131.10/17.42 ( ![X88:$i]: 131.10/17.42 ( ( in @ X88 @ X84 ) => 131.10/17.42 ( in @ X88 @ X82 ) ) ) ) ) ) & 131.10/17.42 ( ![X90:$i,X92:$i]: 131.10/17.42 ( ( ( in @ X90 @ X62 ) & ( in @ X92 @ X62 ) ) => 131.10/17.42 ( ( ![X94:$i]: 131.10/17.42 ( ( in @ X94 @ X64 ) => 131.10/17.42 ( ( in @ X90 @ X94 ) <=> 131.10/17.42 ( in @ X92 @ X94 ) ) ) ) => 131.10/17.42 ( ( X90 ) = ( X92 ) ) ) ) ) & 131.10/17.42 ( ![X96:$i]: 131.10/17.42 ( ( in @ X96 @ X64 ) => 131.10/17.42 ( ![X98:$i]: 131.10/17.42 ( ( in @ X98 @ X96 ) => 131.10/17.42 ( in @ X98 @ X62 ) ) ) ) ) ) ) ) => 131.10/17.42 ( ( ![X100:( $i > $o )]: 131.10/17.42 ( ( ?[X102:$i]: 131.10/17.42 ( ( ![X104:$i]: 131.10/17.42 ( ( X100 @ X104 ) => 131.10/17.42 ( ( X102 ) = ( X104 ) ) ) ) & 131.10/17.42 ( X100 @ X102 ) ) ) => 131.10/17.42 ( X100 @ 131.10/17.42 ( descr @ ( ^[V_1:$i]: ( X100 @ V_1 ) ) ) ) ) ) => 131.10/17.42 ( ( ![X106:$i,X108:( $i > $o ),X110:$i]: 131.10/17.42 ( ( in @ X110 @ X106 ) => 131.10/17.42 ( ( X108 @ X110 ) => 131.10/17.42 ( in @ 131.10/17.42 X110 @ 131.10/17.42 ( dsetconstr @ 131.10/17.42 X106 @ ( ^[V_2:$i]: ( X108 @ V_2 ) ) ) ) ) ) ) => 131.10/17.42 ( ( ![X112:$i,X114:( $i > $o ),X116:$i]: 131.10/17.42 ( ( in @ 131.10/17.42 X116 @ 131.10/17.42 ( dsetconstr @ 131.10/17.42 X112 @ ( ^[V_3:$i]: ( X114 @ V_3 ) ) ) ) => 131.10/17.42 ( in @ X116 @ X112 ) ) ) => 131.10/17.42 ( ( ![X118:$i,X120:( $i > $o ),X122:$i]: 131.10/17.42 ( ( in @ 131.10/17.42 X122 @ 131.10/17.42 ( dsetconstr @ 131.10/17.42 X118 @ 131.10/17.42 ( ^[V_4:$i]: ( X120 @ V_4 ) ) ) ) => 131.10/17.42 ( X120 @ X122 ) ) ) => 131.10/17.42 ( ( ![X124:( $i > $o )]: 131.10/17.42 ( ( ?[X126:$i]: 131.10/17.42 ( ( ![X128:$i]: 131.10/17.42 ( ( X124 @ X128 ) => 131.10/17.42 ( ( X126 ) = ( X128 ) ) ) ) & 131.10/17.42 ( X124 @ X126 ) ) ) => 131.10/17.42 ( ?[X130:$i]: 131.10/17.42 ( ( ![X132:$i]: 131.10/17.42 ( ( X124 @ X132 ) => 131.10/17.42 ( ( X130 ) = ( X132 ) ) ) ) & 131.10/17.42 ( X124 @ X130 ) ) ) ) ) => 131.10/17.42 ( ( ![X134:$o,X136:$i]: 131.10/17.42 ( ( in @ X136 @ ( prop2set @ X134 ) ) => 131.10/17.42 ( X134 ) ) ) => 131.10/17.42 ( ( ![X138:$i]: 131.10/17.42 ( ( in @ X138 @ emptyset ) => 131.10/17.42 ( ![X140:$o]: ( X140 ) ) ) ) => 131.10/17.42 ( ( ![X142:$i]: 131.10/17.42 ( ~( in @ X142 @ emptyset ) ) ) => 131.10/17.42 ( ( ![X144:$i]: 131.10/17.42 ( ~( in @ X144 @ emptyset ) ) ) => 131.10/17.42 ( ( ![X146:( $i > $o )]: 131.10/17.42 ( ( ?[X148:$i]: 131.10/17.42 ( ( ![X150:$i]: 131.10/17.42 ( ( X146 @ X150 ) => 131.10/17.42 ( ( X148 ) = 131.10/17.42 ( X150 ) ) ) ) & 131.10/17.42 ( X146 @ X148 ) ) ) => 131.10/17.42 ( ?[X152:$i]: 131.10/17.42 ( X146 @ X152 ) ) ) ) => 131.10/17.42 ( ( ![X154:$i,X156:$i]: 131.10/17.42 ( ( ![X158:$i]: 131.10/17.42 ( ( in @ X158 @ X154 ) => 131.10/17.42 ( in @ X158 @ X156 ) ) ) => 131.10/17.42 ( ( ![X160:$i]: 131.10/17.42 ( ( in @ X160 @ X156 ) => 131.10/17.42 ( in @ X160 @ X154 ) ) ) => 131.10/17.42 ( ( X154 ) = ( X156 ) ) ) ) ) => 131.10/17.42 ( ( ![X162:$i]: 131.10/17.42 ( ( ![X164:$i]: 131.10/17.42 ( ~( in @ X164 @ X162 ) ) ) => 131.10/17.42 ( ( X162 ) = 131.10/17.42 ( emptyset ) ) ) ) => 131.10/17.42 ( ( ![X166:$i]: 131.10/17.42 ( ( ![X168:$i]: 131.10/17.42 ( ~( in @ 131.10/17.42 X168 @ X166 ) ) ) => 131.10/17.42 ( ( X166 ) = 131.10/17.42 ( emptyset ) ) ) ) => 131.10/17.42 ( ( ![X170:$i, 131.10/17.42 X172:( $i > $o ), 131.10/17.42 X174:$i]: 131.10/17.42 ( ( in @ X174 @ X170 ) => 131.10/17.42 ( ( in @ 131.10/17.42 X174 @ 131.10/17.42 ( dsetconstr @ 131.10/17.42 X170 @ 131.10/17.42 ( ^[V_5:$i]: 131.10/17.42 ( X172 @ 131.10/17.42 V_5 ) ) ) ) <=> 131.10/17.42 ( X172 @ X174 ) ) ) ) => 131.10/17.42 ( ( ![X176:$i]: 131.10/17.42 ( ( ( X176 ) != 131.10/17.42 ( emptyset ) ) => 131.10/17.42 ( ?[X178:$i]: 131.10/17.42 ( in @ 131.10/17.42 X178 @ X176 ) ) ) ) => 131.10/17.42 ( ( ![X180:$i, 131.10/17.42 X182:( 131.10/17.42 $i > $o ), 131.10/17.42 X184:$i]: 131.10/17.42 ( ( in @ 131.10/17.42 X184 @ X180 ) => 131.10/17.42 ( ( X182 @ X184 ) => 131.10/17.42 ( ( dsetconstr 131.10/17.42 @ 131.10/17.42 X180 @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_6:$i]: 131.10/17.42 ( 131.10/17.42 X182 @ 131.10/17.42 V_6 ) ) ) != 131.10/17.42 ( emptyset ) ) ) ) ) => 131.10/17.42 ( ( ![X186:$i]: 131.10/17.42 ( ( ?[X188:$i]: 131.10/17.42 ( in @ 131.10/17.42 X188 @ 131.10/17.42 X186 ) ) => 131.10/17.42 ( ( X186 ) != 131.10/17.42 ( emptyset ) ) ) ) => 131.10/17.42 ( ( ![X190:$i, 131.10/17.42 X192:$i]: 131.10/17.42 ( in @ 131.10/17.42 X190 @ 131.10/17.42 ( setadjoin 131.10/17.42 @ 131.10/17.42 X190 @ 131.10/17.42 X192 ) ) ) => 131.10/17.42 ( ( in @ 131.10/17.42 emptyset @ 131.10/17.42 ( setadjoin 131.10/17.42 @ 131.10/17.42 emptyset @ 131.10/17.42 emptyset ) ) => 131.10/17.42 ( ( ![ 131.10/17.42 X194:$i, 131.10/17.42 X196:$i, 131.10/17.42 X198:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X198 @ 131.10/17.42 X196 ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X198 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X194 @ 131.10/17.42 X196 ) ) ) ) => 131.10/17.42 ( ( 131.10/17.42 ![ 131.10/17.42 X200:$i, 131.10/17.42 X202:$i, 131.10/17.42 X204:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X204 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X200 @ 131.10/17.42 X202 ) ) => 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X206:$o]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X204 ) = 131.10/17.42 ( 131.10/17.42 X200 ) ) => 131.10/17.42 ( 131.10/17.42 X206 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X204 @ 131.10/17.42 X202 ) => 131.10/17.42 ( 131.10/17.42 X206 ) ) => 131.10/17.42 ( 131.10/17.42 X206 ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X208:$i, 131.10/17.42 X210:$i, 131.10/17.42 X212:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X212 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X208 @ 131.10/17.42 X210 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X212 ) = 131.10/17.42 ( 131.10/17.42 X208 ) ) | 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X212 @ 131.10/17.42 X210 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X214:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 X214 @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_7:$i]: 131.10/17.42 ( 131.10/17.42 $true ) ) ) = 131.10/17.42 ( 131.10/17.42 X214 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X216:$i, 131.10/17.42 X218:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X220:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X220 @ 131.10/17.42 X218 ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X220 @ 131.10/17.42 X216 ) ) ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X218 @ 131.10/17.42 ( 131.10/17.42 powerset 131.10/17.42 @ 131.10/17.42 X216 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X222:$i]: 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 emptyset @ 131.10/17.42 ( 131.10/17.42 powerset 131.10/17.42 @ 131.10/17.42 X222 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X224:$i]: 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 emptyset @ 131.10/17.42 ( 131.10/17.42 powerset 131.10/17.42 @ 131.10/17.42 X224 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X226:$i, 131.10/17.42 X228:$i, 131.10/17.42 X230:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X228 @ 131.10/17.42 ( 131.10/17.42 powerset 131.10/17.42 @ 131.10/17.42 X226 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X230 @ 131.10/17.42 X228 ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X230 @ 131.10/17.42 X226 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X232:$i, 131.10/17.42 X234:$i, 131.10/17.42 X236:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X234 @ 131.10/17.42 X236 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X236 @ 131.10/17.42 X232 ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X234 @ 131.10/17.42 ( 131.10/17.42 setunion 131.10/17.42 @ 131.10/17.42 X232 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X238:$i, 131.10/17.42 X240:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X240 @ 131.10/17.42 ( 131.10/17.42 setunion 131.10/17.42 @ 131.10/17.42 X238 ) ) => 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X242:$o]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X244:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X240 @ 131.10/17.42 X244 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X244 @ 131.10/17.42 X238 ) => 131.10/17.42 ( 131.10/17.42 X242 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 X242 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X246:$i, 131.10/17.42 X248:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X248 @ 131.10/17.42 X246 ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X248 @ 131.10/17.42 ( 131.10/17.42 powerset 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setunion 131.10/17.42 @ 131.10/17.42 X246 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X250:( 131.10/17.42 $i > $o )]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X252:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X254:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X250 @ 131.10/17.42 X254 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X252 ) = 131.10/17.42 ( 131.10/17.42 X254 ) ) ) ) & 131.10/17.42 ( 131.10/17.42 X250 @ 131.10/17.42 X252 ) ) ) => 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X256:$i]: 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X258:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X250 @ 131.10/17.42 X258 ) <=> 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X258 ) = 131.10/17.42 ( 131.10/17.42 X256 ) ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X260:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X260 ) != 131.10/17.42 ( 131.10/17.42 emptyset ) ) => 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X262:$i]: 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X262 @ 131.10/17.42 X260 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X264:$i, 131.10/17.42 X266:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X264 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X266 @ 131.10/17.42 emptyset ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X264 ) = 131.10/17.42 ( 131.10/17.42 X266 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X268:$i, 131.10/17.42 X270:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X268 ) != 131.10/17.42 ( 131.10/17.42 X270 ) ) => 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X270 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X268 @ 131.10/17.42 emptyset ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X272:$i, 131.10/17.42 X274:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X272 ) = 131.10/17.42 ( 131.10/17.42 X274 ) ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X272 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X274 @ 131.10/17.42 emptyset ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X276:$i, 131.10/17.42 X278:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X276 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X278 @ 131.10/17.42 emptyset ) ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X278 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X276 @ 131.10/17.42 emptyset ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X280:$i, 131.10/17.42 X282:$i, 131.10/17.42 X284:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X284 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X280 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X282 @ 131.10/17.42 emptyset ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X284 ) = 131.10/17.42 ( 131.10/17.42 X280 ) ) | 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X284 ) = 131.10/17.42 ( 131.10/17.42 X282 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X286:$i, 131.10/17.42 X288:$i]: 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X286 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X286 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X288 @ 131.10/17.42 emptyset ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X290:$i, 131.10/17.42 X292:$i]: 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X292 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X290 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X292 @ 131.10/17.42 emptyset ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X294:$i, 131.10/17.42 X296:( 131.10/17.42 $i > $o )]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X298:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X296 @ 131.10/17.42 X298 ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X298 @ 131.10/17.42 X294 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 X294 @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_8:$i]: 131.10/17.42 ( 131.10/17.42 X296 @ 131.10/17.42 V_8 ) ) ) != 131.10/17.42 ( 131.10/17.42 emptyset ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X300:( 131.10/17.42 $i > $o ), 131.10/17.42 X302:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X302 @ 131.10/17.42 emptyset ) => 131.10/17.42 ( 131.10/17.42 X300 @ 131.10/17.42 X302 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X304:$i, 131.10/17.42 X306:( 131.10/17.42 $i > $o )]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X308:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X308 @ 131.10/17.42 X304 ) => 131.10/17.42 ( 131.10/17.42 X306 @ 131.10/17.42 X308 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X310:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 X306 @ 131.10/17.42 X310 ) ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X310 @ 131.10/17.42 X304 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X312:$i, 131.10/17.42 X314:( 131.10/17.42 $i > $o )]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X316:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X316 @ 131.10/17.42 X312 ) => 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 X314 @ 131.10/17.42 X316 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X318:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X314 @ 131.10/17.42 X318 ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X318 @ 131.10/17.42 X312 ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X320:$i, 131.10/17.42 X322:( 131.10/17.42 $i > $o )]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X324:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X322 @ 131.10/17.42 X324 ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X324 @ 131.10/17.42 X320 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X326:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X326 @ 131.10/17.42 X320 ) => 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 X322 @ 131.10/17.42 X326 ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X328:$i, 131.10/17.42 X330:( 131.10/17.42 $i > $o )]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X332:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 X330 @ 131.10/17.42 X332 ) ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X332 @ 131.10/17.42 X328 ) ) ) => 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X334:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X334 @ 131.10/17.42 X328 ) => 131.10/17.42 ( 131.10/17.42 X330 @ 131.10/17.42 X334 ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X336:$o]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X336 ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 emptyset @ 131.10/17.42 ( 131.10/17.42 prop2set 131.10/17.42 @ 131.10/17.42 X336 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X338:$o]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X338 ) => 131.10/17.42 ( 131.10/17.42 set2prop 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 prop2set 131.10/17.42 @ 131.10/17.42 X338 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X340:$i, 131.10/17.42 X342:( 131.10/17.42 $i > $o )]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X344:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X342 @ 131.10/17.42 X344 ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X344 @ 131.10/17.42 X340 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X346:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X346 @ 131.10/17.42 X340 ) => 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 X342 @ 131.10/17.42 X346 ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X348:$i, 131.10/17.42 X350:( 131.10/17.42 $i > $o )]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X352:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X352 @ 131.10/17.42 X348 ) => 131.10/17.42 ( 131.10/17.42 X350 @ 131.10/17.42 X352 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X354:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 X350 @ 131.10/17.42 X354 ) ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X354 @ 131.10/17.42 X348 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X356:( 131.10/17.42 $i > $o )]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X358:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X360:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X356 @ 131.10/17.42 X360 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X358 ) = 131.10/17.42 ( 131.10/17.42 X360 ) ) ) ) & 131.10/17.42 ( 131.10/17.42 X356 @ 131.10/17.42 X358 ) ) ) => 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X362:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X364:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X356 @ 131.10/17.42 X364 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X362 ) = 131.10/17.42 ( 131.10/17.42 X364 ) ) ) ) & 131.10/17.42 ( 131.10/17.42 X356 @ 131.10/17.42 X362 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X366:( 131.10/17.42 $i > $o )]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X368:$i]: 131.10/17.42 ( 131.10/17.42 X366 @ 131.10/17.42 X368 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X370:$i, 131.10/17.42 X372:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X366 @ 131.10/17.42 X370 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X366 @ 131.10/17.42 X372 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X370 ) = 131.10/17.42 ( 131.10/17.42 X372 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X374:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X376:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X366 @ 131.10/17.42 X376 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X374 ) = 131.10/17.42 ( 131.10/17.42 X376 ) ) ) ) & 131.10/17.42 ( 131.10/17.42 X366 @ 131.10/17.42 X374 ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X378:( 131.10/17.42 $i > $o )]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X380:$i]: 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X382:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X378 @ 131.10/17.42 X382 ) <=> 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X382 ) = 131.10/17.42 ( 131.10/17.42 X380 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X384:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X386:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X378 @ 131.10/17.42 X386 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X384 ) = 131.10/17.42 ( 131.10/17.42 X386 ) ) ) ) & 131.10/17.42 ( 131.10/17.42 X378 @ 131.10/17.42 X384 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X388:$i, 131.10/17.42 X390:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X388 ) = 131.10/17.42 ( 131.10/17.42 X390 ) ) => 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X392:$i, 131.10/17.42 X394:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X392 ) = 131.10/17.42 ( 131.10/17.42 X394 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X392 @ 131.10/17.42 X388 ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X394 @ 131.10/17.42 X390 ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X396:$i, 131.10/17.42 X398:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X396 ) = 131.10/17.42 ( 131.10/17.42 X398 ) ) => 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X400:$i, 131.10/17.42 X402:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X400 ) = 131.10/17.42 ( 131.10/17.42 X402 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X400 @ 131.10/17.42 X396 ) <=> 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X402 @ 131.10/17.42 X398 ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X404:( 131.10/17.42 $i > $o )]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X406:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X408:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X404 @ 131.10/17.42 X408 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X406 ) = 131.10/17.42 ( 131.10/17.42 X408 ) ) ) ) & 131.10/17.42 ( 131.10/17.42 X404 @ 131.10/17.42 X406 ) ) ) => 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X410:$i, 131.10/17.42 X412:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X404 @ 131.10/17.42 X410 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X404 @ 131.10/17.42 X412 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X410 ) = 131.10/17.42 ( 131.10/17.42 X412 ) ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X414:( 131.10/17.42 $i > $o ), 131.10/17.42 X416:( 131.10/17.42 $i > $o )]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X418:$i, 131.10/17.42 X420:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X418 ) = 131.10/17.42 ( 131.10/17.42 X420 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X414 @ 131.10/17.42 X418 ) <=> 131.10/17.42 ( 131.10/17.42 X416 @ 131.10/17.42 X420 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X422:$i]: 131.10/17.42 ( 131.10/17.42 zip_tseitin_5 131.10/17.42 @ 131.10/17.42 X422 @ 131.10/17.42 X414 ) ) <=> 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X426:$i]: 131.10/17.42 ( 131.10/17.42 zip_tseitin_5 131.10/17.42 @ 131.10/17.42 X426 @ 131.10/17.42 X416 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 emptyset ) = 131.10/17.42 ( 131.10/17.42 emptyset ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X430:$i, 131.10/17.42 X432:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X430 ) = 131.10/17.42 ( 131.10/17.42 X432 ) ) => 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X434:$i, 131.10/17.42 X436:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X434 ) = 131.10/17.42 ( 131.10/17.42 X436 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X430 @ 131.10/17.42 X434 ) = 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X432 @ 131.10/17.42 X436 ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X438:$i, 131.10/17.42 X440:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X438 ) = 131.10/17.42 ( 131.10/17.42 X440 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 powerset 131.10/17.42 @ 131.10/17.42 X438 ) = 131.10/17.42 ( 131.10/17.42 powerset 131.10/17.42 @ 131.10/17.42 X440 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X442:$i, 131.10/17.42 X444:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X442 ) = 131.10/17.42 ( 131.10/17.42 X444 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 setunion 131.10/17.42 @ 131.10/17.42 X442 ) = 131.10/17.42 ( 131.10/17.42 setunion 131.10/17.42 @ 131.10/17.42 X444 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 omega ) = 131.10/17.42 ( 131.10/17.42 omega ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X446:( 131.10/17.42 $i > $o )]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X448:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X450:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X446 @ 131.10/17.42 X450 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X448 ) = 131.10/17.42 ( 131.10/17.42 X450 ) ) ) ) & 131.10/17.42 ( 131.10/17.42 X446 @ 131.10/17.42 X448 ) ) ) => 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X452:$i, 131.10/17.42 X454:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X446 @ 131.10/17.42 X452 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X446 @ 131.10/17.42 X454 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X452 ) = 131.10/17.42 ( 131.10/17.42 X454 ) ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X456:( 131.10/17.42 $i > $o ), 131.10/17.42 X458:( 131.10/17.42 $i > $o )]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X460:$i, 131.10/17.42 X462:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X460 ) = 131.10/17.42 ( 131.10/17.42 X462 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X456 @ 131.10/17.42 X460 ) <=> 131.10/17.42 ( 131.10/17.42 X458 @ 131.10/17.42 X462 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X464:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X466:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X456 @ 131.10/17.42 X466 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X464 ) = 131.10/17.42 ( 131.10/17.42 X466 ) ) ) ) & 131.10/17.42 ( 131.10/17.42 X456 @ 131.10/17.42 X464 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X468:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X470:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X458 @ 131.10/17.42 X470 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X468 ) = 131.10/17.42 ( 131.10/17.42 X470 ) ) ) ) & 131.10/17.42 ( 131.10/17.42 X458 @ 131.10/17.42 X468 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 descr @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_9:$i]: 131.10/17.42 ( 131.10/17.42 X456 @ 131.10/17.42 V_9 ) ) ) = 131.10/17.42 ( 131.10/17.42 descr @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_10:$i]: 131.10/17.42 ( 131.10/17.42 X458 @ 131.10/17.42 V_10 ) ) ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X472:$i, 131.10/17.42 X474:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X472 ) = 131.10/17.42 ( 131.10/17.42 X474 ) ) => 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X476:( 131.10/17.42 $i > $o ), 131.10/17.42 X478:( 131.10/17.42 $i > $o )]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X480:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X480 @ 131.10/17.42 X472 ) => 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X482:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X482 @ 131.10/17.42 X474 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X480 ) = 131.10/17.42 ( 131.10/17.42 X482 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X476 @ 131.10/17.42 X480 ) <=> 131.10/17.42 ( 131.10/17.42 X478 @ 131.10/17.42 X482 ) ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 X472 @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_11:$i]: 131.10/17.42 ( 131.10/17.42 X476 @ 131.10/17.42 V_11 ) ) ) = 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 X474 @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_12:$i]: 131.10/17.42 ( 131.10/17.42 X478 @ 131.10/17.42 V_12 ) ) ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X484:$i, 131.10/17.42 X486:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X488:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X488 @ 131.10/17.42 X484 ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X488 @ 131.10/17.42 X486 ) ) ) => 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X484 @ 131.10/17.42 X486 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X490:$i, 131.10/17.42 X492:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X490 ) = 131.10/17.42 ( 131.10/17.42 X492 ) ) => 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X492 @ 131.10/17.42 X490 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X494:$i, 131.10/17.42 X496:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X494 ) = 131.10/17.42 ( 131.10/17.42 X496 ) ) => 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X494 @ 131.10/17.42 X496 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X498:$i, 131.10/17.42 X500:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X502:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X502 @ 131.10/17.42 X498 ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X502 @ 131.10/17.42 X500 ) ) ) => 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X498 @ 131.10/17.42 X500 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X504:$i]: 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 emptyset @ 131.10/17.42 X504 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X506:$i, 131.10/17.42 X508:$i, 131.10/17.42 X510:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X506 @ 131.10/17.42 X508 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X510 @ 131.10/17.42 X506 ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X510 @ 131.10/17.42 X508 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X512:$i, 131.10/17.42 X514:$i, 131.10/17.42 X516:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X512 @ 131.10/17.42 X514 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X516 @ 131.10/17.42 X514 ) ) => 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X516 @ 131.10/17.42 X512 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X518:$i, 131.10/17.42 X520:$i, 131.10/17.42 X522:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X522 @ 131.10/17.42 X518 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X522 @ 131.10/17.42 X520 ) ) => 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X518 @ 131.10/17.42 X520 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X524:$i, 131.10/17.42 X526:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X524 @ 131.10/17.42 X526 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X524 ) != 131.10/17.42 ( 131.10/17.42 X526 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X528:$i, 131.10/17.42 X530:$i, 131.10/17.42 X532:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X532 @ 131.10/17.42 X528 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X532 @ 131.10/17.42 X530 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X528 ) != 131.10/17.42 ( 131.10/17.42 X530 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X534:$i]: 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X534 @ 131.10/17.42 X534 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X536:$i, 131.10/17.42 X538:$i, 131.10/17.42 X540:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X536 @ 131.10/17.42 X538 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X538 @ 131.10/17.42 X540 ) => 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X536 @ 131.10/17.42 X540 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X542:$i, 131.10/17.42 X544:$i]: 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X544 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X542 @ 131.10/17.42 X544 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X546:$i, 131.10/17.42 X548:$i, 131.10/17.42 X550:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X546 @ 131.10/17.42 X550 ) => 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X546 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X548 @ 131.10/17.42 X550 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X552:$i, 131.10/17.42 X554:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X552 @ 131.10/17.42 X554 ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X552 @ 131.10/17.42 ( 131.10/17.42 powerset 131.10/17.42 @ 131.10/17.42 X554 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X556:$i, 131.10/17.42 X558:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X556 @ 131.10/17.42 X558 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X558 @ 131.10/17.42 X556 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X556 ) = 131.10/17.42 ( 131.10/17.42 X558 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X560:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X560 @ 131.10/17.42 emptyset ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X560 ) = 131.10/17.42 ( 131.10/17.42 emptyset ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X562:$i, 131.10/17.42 X564:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X564 @ 131.10/17.42 X562 ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X564 @ 131.10/17.42 ( 131.10/17.42 powerset 131.10/17.42 @ 131.10/17.42 X562 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X566:$i, 131.10/17.42 X568:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X568 @ 131.10/17.42 ( 131.10/17.42 powerset 131.10/17.42 @ 131.10/17.42 X566 ) ) => 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X568 @ 131.10/17.42 X566 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X570:$i]: 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X570 @ 131.10/17.42 ( 131.10/17.42 powerset 131.10/17.42 @ 131.10/17.42 X570 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X572:$i, 131.10/17.42 X574:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X572 @ 131.10/17.42 X574 ) => 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 ( 131.10/17.42 powerset 131.10/17.42 @ 131.10/17.42 X572 ) @ 131.10/17.42 ( 131.10/17.42 powerset 131.10/17.42 @ 131.10/17.42 X574 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X576:$i, 131.10/17.42 X578:( 131.10/17.42 $i > $o )]: 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 X576 @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_13:$i]: 131.10/17.42 ( 131.10/17.42 X578 @ 131.10/17.42 V_13 ) ) ) @ 131.10/17.42 ( 131.10/17.42 powerset 131.10/17.42 @ 131.10/17.42 X576 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X580:$i, 131.10/17.42 X582:( 131.10/17.42 $i > $o )]: 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 X580 @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_14:$i]: 131.10/17.42 ( 131.10/17.42 X582 @ 131.10/17.42 V_14 ) ) ) @ 131.10/17.42 X580 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X584:$i, 131.10/17.42 X586:$i, 131.10/17.42 X588:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X588 @ 131.10/17.42 X584 ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X588 @ 131.10/17.42 ( 131.10/17.42 binunion 131.10/17.42 @ 131.10/17.42 X584 @ 131.10/17.42 X586 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X590:$i, 131.10/17.42 X592:$i]: 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X592 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X590 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X592 @ 131.10/17.42 emptyset ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X594:$i, 131.10/17.42 X596:$i, 131.10/17.42 X598:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X598 @ 131.10/17.42 X596 ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X598 @ 131.10/17.42 ( 131.10/17.42 binunion 131.10/17.42 @ 131.10/17.42 X594 @ 131.10/17.42 X596 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X600:$i, 131.10/17.42 X602:$i, 131.10/17.42 X604:$i, 131.10/17.42 X606:$o]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X604 @ 131.10/17.42 ( 131.10/17.42 binunion 131.10/17.42 @ 131.10/17.42 X600 @ 131.10/17.42 X602 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X604 @ 131.10/17.42 X600 ) => 131.10/17.42 ( 131.10/17.42 X606 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X604 @ 131.10/17.42 X602 ) => 131.10/17.42 ( 131.10/17.42 X606 ) ) => 131.10/17.42 ( 131.10/17.42 X606 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X608:$i, 131.10/17.42 X610:$i, 131.10/17.42 X612:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X612 @ 131.10/17.42 ( 131.10/17.42 binunion 131.10/17.42 @ 131.10/17.42 X608 @ 131.10/17.42 X610 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X612 @ 131.10/17.42 X608 ) | 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X612 @ 131.10/17.42 X610 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X614:$i, 131.10/17.42 X616:$i]: 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X614 @ 131.10/17.42 ( 131.10/17.42 binunion 131.10/17.42 @ 131.10/17.42 X614 @ 131.10/17.42 X616 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X618:$i, 131.10/17.42 X620:$i]: 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X620 @ 131.10/17.42 ( 131.10/17.42 binunion 131.10/17.42 @ 131.10/17.42 X618 @ 131.10/17.42 X620 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X622:$i, 131.10/17.42 X624:$i, 131.10/17.42 X626:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X626 @ 131.10/17.42 X622 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X626 @ 131.10/17.42 X624 ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X626 @ 131.10/17.42 ( 131.10/17.42 binintersect 131.10/17.42 @ 131.10/17.42 X622 @ 131.10/17.42 X624 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X628:$i, 131.10/17.42 X630:$i, 131.10/17.42 X632:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X632 @ 131.10/17.42 X628 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X632 @ 131.10/17.42 X630 ) => 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X632 @ 131.10/17.42 ( 131.10/17.42 binintersect 131.10/17.42 @ 131.10/17.42 X628 @ 131.10/17.42 X630 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X634:$i, 131.10/17.42 X636:$i, 131.10/17.42 X638:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X638 @ 131.10/17.42 ( 131.10/17.42 binintersect 131.10/17.42 @ 131.10/17.42 X634 @ 131.10/17.42 X636 ) ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X638 @ 131.10/17.42 X634 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X640:$i, 131.10/17.42 X642:$i]: 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 ( 131.10/17.42 binintersect 131.10/17.42 @ 131.10/17.42 X640 @ 131.10/17.42 X642 ) @ 131.10/17.42 X640 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X644:$i, 131.10/17.42 X646:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X644 @ 131.10/17.42 X646 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 binintersect 131.10/17.42 @ 131.10/17.42 X644 @ 131.10/17.42 X646 ) = 131.10/17.42 ( 131.10/17.42 X644 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X648:$i, 131.10/17.42 X650:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 binintersect 131.10/17.42 @ 131.10/17.42 X648 @ 131.10/17.42 X650 ) = 131.10/17.42 ( 131.10/17.42 X650 ) ) => 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X650 @ 131.10/17.42 X648 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X652:$i, 131.10/17.42 X654:$i, 131.10/17.42 X656:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X656 @ 131.10/17.42 ( 131.10/17.42 binintersect 131.10/17.42 @ 131.10/17.42 X652 @ 131.10/17.42 X654 ) ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X656 @ 131.10/17.42 X654 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X658:$i, 131.10/17.42 X660:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X662:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X662 @ 131.10/17.42 X660 ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X662 @ 131.10/17.42 X658 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 binintersect 131.10/17.42 @ 131.10/17.42 X658 @ 131.10/17.42 X660 ) = 131.10/17.42 ( 131.10/17.42 emptyset ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X664:$i, 131.10/17.42 X666:$i]: 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 ( 131.10/17.42 binintersect 131.10/17.42 @ 131.10/17.42 X664 @ 131.10/17.42 X666 ) @ 131.10/17.42 X666 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X668:$i, 131.10/17.42 X670:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X670 @ 131.10/17.42 X668 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 binintersect 131.10/17.42 @ 131.10/17.42 X668 @ 131.10/17.42 X670 ) = 131.10/17.42 ( 131.10/17.42 X670 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X672:$i, 131.10/17.42 X674:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 binintersect 131.10/17.42 @ 131.10/17.42 X672 @ 131.10/17.42 X674 ) = 131.10/17.42 ( 131.10/17.42 X672 ) ) => 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X672 @ 131.10/17.42 X674 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X676:$i, 131.10/17.42 X678:$i, 131.10/17.42 X680:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 binintersect 131.10/17.42 @ 131.10/17.42 X676 @ 131.10/17.42 ( 131.10/17.42 binunion 131.10/17.42 @ 131.10/17.42 X678 @ 131.10/17.42 X680 ) ) = 131.10/17.42 ( 131.10/17.42 binunion 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 binintersect 131.10/17.42 @ 131.10/17.42 X676 @ 131.10/17.42 X678 ) @ 131.10/17.42 ( 131.10/17.42 binintersect 131.10/17.42 @ 131.10/17.42 X676 @ 131.10/17.42 X680 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X682:$i, 131.10/17.42 X684:$i, 131.10/17.42 X686:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X686 @ 131.10/17.42 X682 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X686 @ 131.10/17.42 X684 ) ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X686 @ 131.10/17.42 ( 131.10/17.42 setminus 131.10/17.42 @ 131.10/17.42 X682 @ 131.10/17.42 X684 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X688:$i, 131.10/17.42 X690:$i, 131.10/17.42 X692:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X692 @ 131.10/17.42 ( 131.10/17.42 setminus 131.10/17.42 @ 131.10/17.42 X688 @ 131.10/17.42 X690 ) ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X692 @ 131.10/17.42 X688 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X694:$i, 131.10/17.42 X696:$i, 131.10/17.42 X698:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X698 @ 131.10/17.42 ( 131.10/17.42 setminus 131.10/17.42 @ 131.10/17.42 X694 @ 131.10/17.42 X696 ) ) => 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X698 @ 131.10/17.42 X696 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X700:$i, 131.10/17.42 X702:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X700 @ 131.10/17.42 X702 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 setminus 131.10/17.42 @ 131.10/17.42 X700 @ 131.10/17.42 X702 ) = 131.10/17.42 ( 131.10/17.42 emptyset ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X704:$i, 131.10/17.42 X706:$i, 131.10/17.42 X708:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X708 @ 131.10/17.42 ( 131.10/17.42 setminus 131.10/17.42 @ 131.10/17.42 X704 @ 131.10/17.42 X706 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X708 @ 131.10/17.42 X704 ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X708 @ 131.10/17.42 X706 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X710:$i, 131.10/17.42 X712:$i, 131.10/17.42 X714:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X714 @ 131.10/17.42 ( 131.10/17.42 setminus 131.10/17.42 @ 131.10/17.42 X710 @ 131.10/17.42 X712 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X714 @ 131.10/17.42 X712 ) ) => 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X714 @ 131.10/17.42 X710 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X716:$i, 131.10/17.42 X718:$i, 131.10/17.42 X720:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X720 @ 131.10/17.42 X716 ) ) => 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X720 @ 131.10/17.42 ( 131.10/17.42 setminus 131.10/17.42 @ 131.10/17.42 X716 @ 131.10/17.42 X718 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X722:$i, 131.10/17.42 X724:$i, 131.10/17.42 X726:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X726 @ 131.10/17.42 X724 ) => 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X726 @ 131.10/17.42 ( 131.10/17.42 setminus 131.10/17.42 @ 131.10/17.42 X722 @ 131.10/17.42 X724 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X728:$i, 131.10/17.42 X730:$i]: 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 ( 131.10/17.42 setminus 131.10/17.42 @ 131.10/17.42 X728 @ 131.10/17.42 X730 ) @ 131.10/17.42 X728 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X732:$i, 131.10/17.42 X734:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 setminus 131.10/17.42 @ 131.10/17.42 X732 @ 131.10/17.42 X734 ) = 131.10/17.42 ( 131.10/17.42 emptyset ) ) => 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X732 @ 131.10/17.42 X734 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X736:$i, 131.10/17.42 X738:$i, 131.10/17.42 X740:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X740 @ 131.10/17.42 ( 131.10/17.42 symdiff @ 131.10/17.42 X736 @ 131.10/17.42 X738 ) ) => 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X742:$o]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X740 @ 131.10/17.42 X736 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X740 @ 131.10/17.42 X738 ) ) => 131.10/17.42 ( 131.10/17.42 X742 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X740 @ 131.10/17.42 X736 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X740 @ 131.10/17.42 X738 ) => 131.10/17.42 ( 131.10/17.42 X742 ) ) ) => 131.10/17.42 ( 131.10/17.42 X742 ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X744:$i, 131.10/17.42 X746:$i, 131.10/17.42 X748:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X748 @ 131.10/17.42 X744 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X748 @ 131.10/17.42 X746 ) ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X748 @ 131.10/17.42 ( 131.10/17.42 symdiff @ 131.10/17.42 X744 @ 131.10/17.42 X746 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X750:$i, 131.10/17.42 X752:$i, 131.10/17.42 X754:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X754 @ 131.10/17.42 X750 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X754 @ 131.10/17.42 X752 ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X754 @ 131.10/17.42 ( 131.10/17.42 symdiff @ 131.10/17.42 X750 @ 131.10/17.42 X752 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X756:$i, 131.10/17.42 X758:$i, 131.10/17.42 X760:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X760 @ 131.10/17.42 X756 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X760 @ 131.10/17.42 X758 ) => 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X760 @ 131.10/17.42 ( 131.10/17.42 symdiff @ 131.10/17.42 X756 @ 131.10/17.42 X758 ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X762:$i, 131.10/17.42 X764:$i, 131.10/17.42 X766:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X766 @ 131.10/17.42 X762 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X766 @ 131.10/17.42 X764 ) ) => 131.10/17.42 ( 131.10/17.42 ~ 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X766 @ 131.10/17.42 ( 131.10/17.42 symdiff @ 131.10/17.42 X762 @ 131.10/17.42 X764 ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X768:$i, 131.10/17.42 X770:$i]: 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X770 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X768 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X770 @ 131.10/17.42 emptyset ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X772:$i, 131.10/17.42 X774:$i]: 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X772 @ 131.10/17.42 ( 131.10/17.42 setunion 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X772 @ 131.10/17.42 emptyset ) @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X772 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X774 @ 131.10/17.42 emptyset ) ) @ 131.10/17.42 emptyset ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X776:$i, 131.10/17.42 X778:$i]: 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X778 @ 131.10/17.42 ( 131.10/17.42 setunion 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X776 @ 131.10/17.42 emptyset ) @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X776 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X778 @ 131.10/17.42 emptyset ) ) @ 131.10/17.42 emptyset ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X780:$i, 131.10/17.42 X782:$i]: 131.10/17.42 ( 131.10/17.42 iskpair @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X780 @ 131.10/17.42 emptyset ) @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X780 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X782 @ 131.10/17.42 emptyset ) ) @ 131.10/17.42 emptyset ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X784:$i, 131.10/17.42 X786:$i]: 131.10/17.42 ( 131.10/17.42 iskpair @ 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 X784 @ 131.10/17.42 X786 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X788:$i, 131.10/17.42 X790:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X790 @ 131.10/17.42 X788 ) => 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X790 @ 131.10/17.42 emptyset ) @ 131.10/17.42 X788 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X792:$i, 131.10/17.42 X794:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X794 @ 131.10/17.42 X792 ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X794 @ 131.10/17.42 emptyset ) @ 131.10/17.42 ( 131.10/17.42 powerset 131.10/17.42 @ 131.10/17.42 X792 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X796:$i, 131.10/17.42 X798:$i, 131.10/17.42 X800:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X800 @ 131.10/17.42 X796 ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X800 @ 131.10/17.42 emptyset ) @ 131.10/17.42 ( 131.10/17.42 powerset 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 binunion 131.10/17.42 @ 131.10/17.42 X796 @ 131.10/17.42 X798 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X802:$i, 131.10/17.42 X804:$i, 131.10/17.42 X806:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X806 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X802 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X804 @ 131.10/17.42 emptyset ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X806 ) = 131.10/17.42 ( 131.10/17.42 X802 ) ) | 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X806 ) = 131.10/17.42 ( 131.10/17.42 X804 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X808:$i, 131.10/17.42 X810:$i, 131.10/17.42 X812:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X812 @ 131.10/17.42 X808 ) => 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X814:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X814 @ 131.10/17.42 X810 ) => 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X812 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X814 @ 131.10/17.42 emptyset ) ) @ 131.10/17.42 ( 131.10/17.42 binunion 131.10/17.42 @ 131.10/17.42 X808 @ 131.10/17.42 X810 ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X816:$i, 131.10/17.42 X818:$i, 131.10/17.42 X820:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X820 @ 131.10/17.42 X816 ) => 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X822:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X822 @ 131.10/17.42 X818 ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X820 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X822 @ 131.10/17.42 emptyset ) ) @ 131.10/17.42 ( 131.10/17.42 powerset 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 binunion 131.10/17.42 @ 131.10/17.42 X816 @ 131.10/17.42 X818 ) ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X824:$i, 131.10/17.42 X826:$i, 131.10/17.42 X828:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X828 @ 131.10/17.42 X824 ) => 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X830:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X830 @ 131.10/17.42 X826 ) => 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X828 @ 131.10/17.42 emptyset ) @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X828 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X830 @ 131.10/17.42 emptyset ) ) @ 131.10/17.42 emptyset ) ) @ 131.10/17.42 ( 131.10/17.42 powerset 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 binunion 131.10/17.42 @ 131.10/17.42 X824 @ 131.10/17.42 X826 ) ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X832:$i, 131.10/17.42 X834:$i, 131.10/17.42 X836:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X836 @ 131.10/17.42 X832 ) => 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X838:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X838 @ 131.10/17.42 X834 ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X836 @ 131.10/17.42 emptyset ) @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X836 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X838 @ 131.10/17.42 emptyset ) ) @ 131.10/17.42 emptyset ) ) @ 131.10/17.42 ( 131.10/17.42 powerset 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 powerset 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 binunion 131.10/17.42 @ 131.10/17.42 X832 @ 131.10/17.42 X834 ) ) ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X840:$i, 131.10/17.42 X842:$i, 131.10/17.42 X844:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X844 @ 131.10/17.42 X840 ) => 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X846:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X846 @ 131.10/17.42 X842 ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 X844 @ 131.10/17.42 X846 ) @ 131.10/17.42 ( 131.10/17.42 powerset 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 powerset 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 binunion 131.10/17.42 @ 131.10/17.42 X840 @ 131.10/17.42 X842 ) ) ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X848:$i, 131.10/17.42 X850:$i, 131.10/17.42 X852:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X852 @ 131.10/17.42 X848 ) => 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X854:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X854 @ 131.10/17.42 X850 ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 X852 @ 131.10/17.42 X854 ) @ 131.10/17.42 ( 131.10/17.42 cartprod 131.10/17.42 @ 131.10/17.42 X848 @ 131.10/17.42 X850 ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X856:$i, 131.10/17.42 X858:$i, 131.10/17.42 X860:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X860 @ 131.10/17.42 ( 131.10/17.42 cartprod 131.10/17.42 @ 131.10/17.42 X856 @ 131.10/17.42 X858 ) ) => 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X862:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X864:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X860 ) = 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 X862 @ 131.10/17.42 X864 ) ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X864 @ 131.10/17.42 X858 ) ) ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X862 @ 131.10/17.42 X856 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X866:$i, 131.10/17.42 X868:$i, 131.10/17.42 X870:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X870 @ 131.10/17.42 ( 131.10/17.42 cartprod 131.10/17.42 @ 131.10/17.42 X866 @ 131.10/17.42 X868 ) ) => 131.10/17.42 ( 131.10/17.42 iskpair @ 131.10/17.42 X870 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X872:$i, 131.10/17.42 X874:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X874 @ 131.10/17.42 ( 131.10/17.42 setunion 131.10/17.42 @ 131.10/17.42 X872 ) ) => 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X876:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X874 @ 131.10/17.42 X876 ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X876 @ 131.10/17.42 X872 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X878:$i]: 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 ( 131.10/17.42 setunion 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X878 @ 131.10/17.42 emptyset ) ) @ 131.10/17.42 X878 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X880:$i]: 131.10/17.42 ( 131.10/17.42 subset @ 131.10/17.42 X880 @ 131.10/17.42 ( 131.10/17.42 setunion 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X880 @ 131.10/17.42 emptyset ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X882:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 setunion 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X882 @ 131.10/17.42 emptyset ) ) = 131.10/17.42 ( 131.10/17.42 X882 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X884:$i, 131.10/17.42 X886:( 131.10/17.42 $i > $o )]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X888:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X888 @ 131.10/17.42 X884 ) => 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X890:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X890 @ 131.10/17.42 X884 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X886 @ 131.10/17.42 X888 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X886 @ 131.10/17.42 X890 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X888 ) = 131.10/17.42 ( 131.10/17.42 X890 ) ) ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X892:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X886 @ 131.10/17.42 X892 ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X892 @ 131.10/17.42 X884 ) ) ) => 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X894:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 X884 @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_15:$i]: 131.10/17.42 ( 131.10/17.42 X886 @ 131.10/17.42 V_15 ) ) ) = 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X894 @ 131.10/17.42 emptyset ) ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X894 @ 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 X884 @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_16:$i]: 131.10/17.42 ( 131.10/17.42 X886 @ 131.10/17.42 V_16 ) ) ) ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X896:$i, 131.10/17.42 X898:( 131.10/17.42 $i > $o )]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X900:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 X896 @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_17:$i]: 131.10/17.42 ( 131.10/17.42 X898 @ 131.10/17.42 V_17 ) ) ) = 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X900 @ 131.10/17.42 emptyset ) ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X900 @ 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 X896 @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_18:$i]: 131.10/17.42 ( 131.10/17.42 X898 @ 131.10/17.42 V_18 ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X902:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X898 @ 131.10/17.42 X902 ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X902 @ 131.10/17.42 X896 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X904:$i, 131.10/17.42 X906:( 131.10/17.42 $i > $o ), 131.10/17.42 X908:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X908 @ 131.10/17.42 X904 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X906 @ 131.10/17.42 X908 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X910:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X910 @ 131.10/17.42 X904 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X906 @ 131.10/17.42 X910 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X910 ) = 131.10/17.42 ( 131.10/17.42 X908 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X912:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 X904 @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_19:$i]: 131.10/17.42 ( 131.10/17.42 X906 @ 131.10/17.42 V_19 ) ) ) = 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X912 @ 131.10/17.42 emptyset ) ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X912 @ 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 X904 @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_20:$i]: 131.10/17.42 ( 131.10/17.42 X906 @ 131.10/17.42 V_20 ) ) ) ) ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X914:$i, 131.10/17.42 X916:( 131.10/17.42 $i > $o )]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X918:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X918 @ 131.10/17.42 X914 ) => 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X920:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X920 @ 131.10/17.42 X914 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X916 @ 131.10/17.42 X918 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X916 @ 131.10/17.42 X920 ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X918 ) = 131.10/17.42 ( 131.10/17.42 X920 ) ) ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X922:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X916 @ 131.10/17.42 X922 ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X922 @ 131.10/17.42 X914 ) ) ) => 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X924:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 X914 @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_21:$i]: 131.10/17.42 ( 131.10/17.42 X916 @ 131.10/17.42 V_21 ) ) ) = 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X924 @ 131.10/17.42 emptyset ) ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X924 @ 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 X914 @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_22:$i]: 131.10/17.42 ( 131.10/17.42 X916 @ 131.10/17.42 V_22 ) ) ) ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X926:$i, 131.10/17.42 X928:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X926 @ 131.10/17.42 emptyset ) = 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X928 @ 131.10/17.42 emptyset ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X926 ) = 131.10/17.42 ( 131.10/17.42 X928 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X930:$i, 131.10/17.42 X932:$i, 131.10/17.42 X934:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X934 @ 131.10/17.42 emptyset ) @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X930 @ 131.10/17.42 emptyset ) @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X930 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X932 @ 131.10/17.42 emptyset ) ) @ 131.10/17.42 emptyset ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X930 ) = 131.10/17.42 ( 131.10/17.42 X934 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X936:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 iskpair @ 131.10/17.42 X936 ) => 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X938:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setunion 131.10/17.42 @ 131.10/17.42 X936 ) @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_23:$i]: 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 V_23 @ 131.10/17.42 emptyset ) @ 131.10/17.42 X936 ) ) ) = 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X938 @ 131.10/17.42 emptyset ) ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X938 @ 131.10/17.42 ( 131.10/17.42 dsetconstr 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setunion 131.10/17.42 @ 131.10/17.42 X936 ) @ 131.10/17.42 ( 131.10/17.42 ^[ 131.10/17.42 V_24:$i]: 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 V_24 @ 131.10/17.42 emptyset ) @ 131.10/17.42 X936 ) ) ) ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X940:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ?[ 131.10/17.42 X942:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X940 ) = 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X942 @ 131.10/17.42 emptyset ) ) & 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X942 @ 131.10/17.42 X940 ) ) ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 ( 131.10/17.42 setunion 131.10/17.42 @ 131.10/17.42 X940 ) @ 131.10/17.42 X940 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X944:$i, 131.10/17.42 X946:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 kfst @ 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 X944 @ 131.10/17.42 X946 ) ) = 131.10/17.42 ( 131.10/17.42 X944 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X948:$i, 131.10/17.42 X950:$i, 131.10/17.42 X952:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 X952 @ 131.10/17.42 ( 131.10/17.42 cartprod 131.10/17.42 @ 131.10/17.42 X948 @ 131.10/17.42 X950 ) ) => 131.10/17.42 ( 131.10/17.42 in @ 131.10/17.42 ( 131.10/17.42 kfst @ 131.10/17.42 X952 ) @ 131.10/17.42 X948 ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X954:$i, 131.10/17.42 X956:$i, 131.10/17.42 X958:$i, 131.10/17.42 X960:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X954 @ 131.10/17.42 emptyset ) @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X954 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X956 @ 131.10/17.42 emptyset ) ) @ 131.10/17.42 emptyset ) ) = 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X958 @ 131.10/17.42 emptyset ) @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X958 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X960 @ 131.10/17.42 emptyset ) ) @ 131.10/17.42 emptyset ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X954 ) = 131.10/17.42 ( 131.10/17.42 X958 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X962:$i, 131.10/17.42 X964:$i, 131.10/17.42 X966:$i, 131.10/17.42 X968:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 X962 @ 131.10/17.42 X964 ) = 131.10/17.42 ( 131.10/17.42 kpair @ 131.10/17.42 X966 @ 131.10/17.42 X968 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X962 ) = 131.10/17.42 ( 131.10/17.42 X966 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X970:$i, 131.10/17.42 X972:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X970 ) = 131.10/17.42 ( 131.10/17.42 X972 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X970 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X972 @ 131.10/17.42 emptyset ) ) = 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X970 @ 131.10/17.42 emptyset ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X974:$i, 131.10/17.42 X976:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X974 ) = 131.10/17.42 ( 131.10/17.42 X976 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X974 @ 131.10/17.42 emptyset ) @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X974 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X976 @ 131.10/17.42 emptyset ) ) @ 131.10/17.42 emptyset ) ) = 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X974 @ 131.10/17.42 emptyset ) @ 131.10/17.42 emptyset ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X978:$i, 131.10/17.42 X980:$i, 131.10/17.42 X982:$i, 131.10/17.42 X984:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X978 @ 131.10/17.42 emptyset ) @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X978 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X980 @ 131.10/17.42 emptyset ) ) @ 131.10/17.42 emptyset ) ) = 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X982 @ 131.10/17.42 emptyset ) @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X982 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X984 @ 131.10/17.42 emptyset ) ) @ 131.10/17.42 emptyset ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X982 ) = 131.10/17.42 ( 131.10/17.42 X984 ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X980 ) = 131.10/17.42 ( 131.10/17.42 X984 ) ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X986:$i, 131.10/17.42 X988:$i, 131.10/17.42 X990:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X986 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X988 @ 131.10/17.42 emptyset ) ) = 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X990 @ 131.10/17.42 emptyset ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 X986 ) = 131.10/17.42 ( 131.10/17.42 X988 ) ) ) ) => 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ![ 131.10/17.42 X992:$i, 131.10/17.42 X994:$i, 131.10/17.42 X996:$i, 131.10/17.42 X998:$i]: 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 X992 @ 131.10/17.42 emptyset ) @ 131.10/17.42 ( 131.10/17.42 setadjoin 131.10/17.42 @ 131.10/17.42 ( 131.10/17.43 setadjoin 131.10/17.43 @ 131.10/17.43 X992 @ 131.10/17.43 ( 131.10/17.43 setadjoin 131.10/17.43 @ 131.10/17.43 X994 @ 131.10/17.43 emptyset ) ) @ 131.10/17.43 emptyset ) ) = 131.10/17.43 ( 131.10/17.43 setadjoin 131.10/17.43 @ 131.10/17.43 ( 131.10/17.43 setadjoin 131.10/17.43 @ 131.10/17.43 X996 @ 131.10/17.43 emptyset ) @ 131.10/17.43 ( 131.10/17.43 setadjoin 131.10/17.43 @ 131.10/17.43 ( 131.10/17.43 setadjoin 131.10/17.43 @ 131.10/17.43 X996 @ 131.10/17.43 ( 131.10/17.43 setadjoin 131.10/17.43 @ 131.10/17.43 X998 @ 131.10/17.43 emptyset ) ) @ 131.10/17.43 emptyset ) ) ) => 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 X994 ) = 131.10/17.43 ( 131.10/17.43 X998 ) ) ) ) => 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 ![ 131.10/17.43 X1000:$i, 131.10/17.43 X1002:$i, 131.10/17.43 X1004:$i, 131.10/17.43 X1006:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 kpair @ 131.10/17.43 X1000 @ 131.10/17.43 X1002 ) = 131.10/17.43 ( 131.10/17.43 kpair @ 131.10/17.43 X1004 @ 131.10/17.43 X1006 ) ) => 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 X1002 ) = 131.10/17.43 ( 131.10/17.43 X1006 ) ) ) ) => 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 ![ 131.10/17.43 X1008:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 iskpair @ 131.10/17.43 X1008 ) => 131.10/17.43 ( 131.10/17.43 ?[ 131.10/17.43 X1010:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 dsetconstr 131.10/17.43 @ 131.10/17.43 ( 131.10/17.43 setunion 131.10/17.43 @ 131.10/17.43 X1008 ) @ 131.10/17.43 ( 131.10/17.43 ^[ 131.10/17.43 V_25:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 X1008 ) = 131.10/17.43 ( 131.10/17.43 kpair @ 131.10/17.43 ( 131.10/17.43 kfst @ 131.10/17.43 X1008 ) @ 131.10/17.43 V_25 ) ) ) ) = 131.10/17.43 ( 131.10/17.43 setadjoin 131.10/17.43 @ 131.10/17.43 X1010 @ 131.10/17.43 emptyset ) ) & 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 X1010 @ 131.10/17.43 ( 131.10/17.43 dsetconstr 131.10/17.43 @ 131.10/17.43 ( 131.10/17.43 setunion 131.10/17.43 @ 131.10/17.43 X1008 ) @ 131.10/17.43 ( 131.10/17.43 ^[ 131.10/17.43 V_26:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 X1008 ) = 131.10/17.43 ( 131.10/17.43 kpair @ 131.10/17.43 ( 131.10/17.43 kfst @ 131.10/17.43 X1008 ) @ 131.10/17.43 V_26 ) ) ) ) ) ) ) ) ) => 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 ![ 131.10/17.43 X1012:$i, 131.10/17.43 X1014:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 ksnd @ 131.10/17.43 ( 131.10/17.43 kpair @ 131.10/17.43 X1012 @ 131.10/17.43 X1014 ) ) = 131.10/17.43 ( 131.10/17.43 X1014 ) ) ) => 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 ![ 131.10/17.43 X1016:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 iskpair @ 131.10/17.43 X1016 ) => 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 kpair @ 131.10/17.43 ( 131.10/17.43 kfst @ 131.10/17.43 X1016 ) @ 131.10/17.43 ( 131.10/17.43 ksnd @ 131.10/17.43 X1016 ) ) = 131.10/17.43 ( 131.10/17.43 X1016 ) ) ) ) => 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 ![ 131.10/17.43 X1018:$i, 131.10/17.43 X1020:$i, 131.10/17.43 X1022:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 X1022 @ 131.10/17.43 ( 131.10/17.43 cartprod 131.10/17.43 @ 131.10/17.43 X1018 @ 131.10/17.43 X1020 ) ) => 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 ( 131.10/17.43 ksnd @ 131.10/17.43 X1022 ) @ 131.10/17.43 X1020 ) ) ) => 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 ![ 131.10/17.43 X1024:$i, 131.10/17.43 X1026:$i, 131.10/17.43 X1028:$i, 131.10/17.43 X1030:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 ( 131.10/17.43 kpair @ 131.10/17.43 X1028 @ 131.10/17.43 X1030 ) @ 131.10/17.43 ( 131.10/17.43 cartprod 131.10/17.43 @ 131.10/17.43 X1024 @ 131.10/17.43 X1026 ) ) => 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 X1028 @ 131.10/17.43 X1024 ) ) ) => 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 ![ 131.10/17.43 X1032:$i, 131.10/17.43 X1034:$i, 131.10/17.43 X1036:$i, 131.10/17.43 X1038:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 ( 131.10/17.43 kpair @ 131.10/17.43 X1036 @ 131.10/17.43 X1038 ) @ 131.10/17.43 ( 131.10/17.43 cartprod 131.10/17.43 @ 131.10/17.43 X1032 @ 131.10/17.43 X1034 ) ) => 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 X1038 @ 131.10/17.43 X1034 ) ) ) => 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 ![ 131.10/17.43 X1040:$i, 131.10/17.43 X1042:$i, 131.10/17.43 X1044:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 X1044 @ 131.10/17.43 X1040 ) => 131.10/17.43 ( 131.10/17.43 ![ 131.10/17.43 X1046:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 X1046 @ 131.10/17.43 X1042 ) => 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 kpair @ 131.10/17.43 X1044 @ 131.10/17.43 X1046 ) = 131.10/17.43 ( 131.10/17.43 kpair @ 131.10/17.43 X1044 @ 131.10/17.43 X1046 ) ) ) ) ) ) => 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 ![ 131.10/17.43 X1048:$i, 131.10/17.43 X1050:$i, 131.10/17.43 X1052:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 X1052 @ 131.10/17.43 X1048 ) => 131.10/17.43 ( 131.10/17.43 ![ 131.10/17.43 X1054:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 X1054 @ 131.10/17.43 X1050 ) => 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 kfst @ 131.10/17.43 ( 131.10/17.43 kpair @ 131.10/17.43 X1052 @ 131.10/17.43 X1054 ) ) = 131.10/17.43 ( 131.10/17.43 X1052 ) ) ) ) ) ) => 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 ![ 131.10/17.43 X1056:$i, 131.10/17.43 X1058:$i, 131.10/17.43 X1060:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 X1060 @ 131.10/17.43 X1056 ) => 131.10/17.43 ( 131.10/17.43 ![ 131.10/17.43 X1062:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 X1062 @ 131.10/17.43 X1058 ) => 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 ksnd @ 131.10/17.43 ( 131.10/17.43 kpair @ 131.10/17.43 X1060 @ 131.10/17.43 X1062 ) ) = 131.10/17.43 ( 131.10/17.43 X1062 ) ) ) ) ) ) => 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 ![ 131.10/17.43 X1064:$i, 131.10/17.43 X1066:$i, 131.10/17.43 X1068:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 X1068 @ 131.10/17.43 ( 131.10/17.43 cartprod 131.10/17.43 @ 131.10/17.43 X1064 @ 131.10/17.43 X1066 ) ) => 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 kpair @ 131.10/17.43 ( 131.10/17.43 kfst @ 131.10/17.43 X1068 ) @ 131.10/17.43 ( 131.10/17.43 ksnd @ 131.10/17.43 X1068 ) ) = 131.10/17.43 ( 131.10/17.43 X1068 ) ) ) ) => 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 ![ 131.10/17.43 X1070:$i, 131.10/17.43 X1072:$i, 131.10/17.43 X1074:( 131.10/17.43 $i > $i > 131.10/17.43 $o ), 131.10/17.43 X1076:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 X1076 @ 131.10/17.43 X1070 ) => 131.10/17.43 ( 131.10/17.43 ![ 131.10/17.43 X1078:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 X1078 @ 131.10/17.43 X1072 ) => 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 X1074 @ 131.10/17.43 X1076 @ 131.10/17.43 X1078 ) => 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 ( 131.10/17.43 kpair @ 131.10/17.43 X1076 @ 131.10/17.43 X1078 ) @ 131.10/17.43 ( 131.10/17.43 dsetconstr 131.10/17.43 @ 131.10/17.43 ( 131.10/17.43 cartprod 131.10/17.43 @ 131.10/17.43 X1070 @ 131.10/17.43 X1072 ) @ 131.10/17.43 ( 131.10/17.43 ^[ 131.10/17.43 V_27:$i]: 131.10/17.43 ( 131.10/17.43 ?[ 131.10/17.43 X1080:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 X1080 @ 131.10/17.43 X1070 ) & 131.10/17.43 ( 131.10/17.43 ?[ 131.10/17.43 X1082:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 X1082 @ 131.10/17.43 X1072 ) & 131.10/17.43 ( 131.10/17.43 X1074 @ 131.10/17.43 X1080 @ 131.10/17.43 X1082 ) & 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 V_27 ) = 131.10/17.43 ( 131.10/17.43 kpair @ 131.10/17.43 X1080 @ 131.10/17.43 X1082 ) ) ) ) ) ) ) ) ) ) ) ) ) ) => 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 ![ 131.10/17.43 X1084:$i, 131.10/17.43 X1086:$i, 131.10/17.43 X1088:( 131.10/17.43 $i > $i > 131.10/17.43 $o )]: 131.10/17.43 ( 131.10/17.43 subset @ 131.10/17.43 ( 131.10/17.43 dsetconstr 131.10/17.43 @ 131.10/17.43 ( 131.10/17.43 cartprod 131.10/17.43 @ 131.10/17.43 X1084 @ 131.10/17.43 X1086 ) @ 131.10/17.43 ( 131.10/17.43 ^[ 131.10/17.43 V_28:$i]: 131.10/17.43 ( 131.10/17.43 ?[ 131.10/17.43 X1090:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 X1090 @ 131.10/17.43 X1084 ) & 131.10/17.43 ( 131.10/17.43 ?[ 131.10/17.43 X1092:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 X1092 @ 131.10/17.43 X1086 ) & 131.10/17.43 ( 131.10/17.43 X1088 @ 131.10/17.43 X1090 @ 131.10/17.43 X1092 ) & 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 V_28 ) = 131.10/17.43 ( 131.10/17.43 kpair @ 131.10/17.43 X1090 @ 131.10/17.43 X1092 ) ) ) ) ) ) ) ) @ 131.10/17.43 ( 131.10/17.43 cartprod 131.10/17.43 @ 131.10/17.43 X1084 @ 131.10/17.43 X1086 ) ) ) => 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 ![ 131.10/17.43 X1094:$i, 131.10/17.43 X1096:$i, 131.10/17.43 X1098:( 131.10/17.43 $i > $i > 131.10/17.43 $o )]: 131.10/17.43 ( 131.10/17.43 subset @ 131.10/17.43 ( 131.10/17.43 dsetconstr 131.10/17.43 @ 131.10/17.43 ( 131.10/17.43 cartprod 131.10/17.43 @ 131.10/17.43 X1094 @ 131.10/17.43 X1096 ) @ 131.10/17.43 ( 131.10/17.43 ^[ 131.10/17.43 V_29:$i]: 131.10/17.43 ( 131.10/17.43 ?[ 131.10/17.43 X1100:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 X1100 @ 131.10/17.43 X1094 ) & 131.10/17.43 ( 131.10/17.43 ?[ 131.10/17.43 X1102:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 X1102 @ 131.10/17.43 X1096 ) & 131.10/17.43 ( 131.10/17.43 X1098 @ 131.10/17.43 X1100 @ 131.10/17.43 X1102 ) & 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 V_29 ) = 131.10/17.43 ( 131.10/17.43 kpair @ 131.10/17.43 X1100 @ 131.10/17.43 X1102 ) ) ) ) ) ) ) ) @ 131.10/17.43 ( 131.10/17.43 cartprod 131.10/17.43 @ 131.10/17.43 X1094 @ 131.10/17.43 X1096 ) ) ) => 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 ![ 131.10/17.43 X1104:$i, 131.10/17.43 X1106:$i, 131.10/17.43 X1108:( 131.10/17.43 $i > $i > 131.10/17.43 $o ), 131.10/17.43 X1110:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 X1110 @ 131.10/17.43 X1104 ) => 131.10/17.43 ( 131.10/17.43 ![ 131.10/17.43 X1112:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 X1112 @ 131.10/17.43 X1106 ) => 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 ( 131.10/17.43 kpair @ 131.10/17.43 X1110 @ 131.10/17.43 X1112 ) @ 131.10/17.43 ( 131.10/17.43 dsetconstr 131.10/17.43 @ 131.10/17.43 ( 131.10/17.43 cartprod 131.10/17.43 @ 131.10/17.43 X1104 @ 131.10/17.43 X1106 ) @ 131.10/17.43 ( 131.10/17.43 ^[ 131.10/17.43 V_30:$i]: 131.10/17.43 ( 131.10/17.43 ?[ 131.10/17.43 X1114:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 X1114 @ 131.10/17.43 X1104 ) & 131.10/17.43 ( 131.10/17.43 ?[ 131.10/17.43 X1116:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 X1116 @ 131.10/17.43 X1106 ) & 131.10/17.43 ( 131.10/17.43 X1108 @ 131.10/17.43 X1114 @ 131.10/17.43 X1116 ) & 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 V_30 ) = 131.10/17.43 ( 131.10/17.43 kpair @ 131.10/17.43 X1114 @ 131.10/17.43 X1116 ) ) ) ) ) ) ) ) ) => 131.10/17.43 ( 131.10/17.43 X1108 @ 131.10/17.43 X1110 @ 131.10/17.43 X1112 ) ) ) ) ) ) => 131.10/17.43 ( 131.10/17.43 ![ 131.10/17.43 X1118:$i, 131.10/17.43 X1120:$i, 131.10/17.43 X1122:( 131.10/17.43 $i > $i > 131.10/17.43 $o ), 131.10/17.43 X1124:$i, 131.10/17.43 X1126:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 ( 131.10/17.43 kpair @ 131.10/17.43 X1124 @ 131.10/17.43 X1126 ) @ 131.10/17.43 ( 131.10/17.43 dsetconstr 131.10/17.43 @ 131.10/17.43 ( 131.10/17.43 cartprod 131.10/17.43 @ 131.10/17.43 X1118 @ 131.10/17.43 X1120 ) @ 131.10/17.43 ( 131.10/17.43 ^[ 131.10/17.43 V_31:$i]: 131.10/17.43 ( 131.10/17.43 ?[ 131.10/17.43 X1128:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 X1128 @ 131.10/17.43 X1118 ) & 131.10/17.43 ( 131.10/17.43 ?[ 131.10/17.43 X1130:$i]: 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 X1130 @ 131.10/17.43 X1120 ) & 131.10/17.43 ( 131.10/17.43 X1122 @ 131.10/17.43 X1128 @ 131.10/17.43 X1130 ) & 131.10/17.43 ( 131.10/17.43 ( 131.10/17.43 V_31 ) = 131.10/17.43 ( 131.10/17.43 kpair @ 131.10/17.43 X1128 @ 131.10/17.43 X1130 ) ) ) ) ) ) ) ) ) => 131.10/17.43 ( 131.10/17.43 in @ 131.10/17.43 X1124 @ 131.10/17.43 X1118 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 131.10/17.43 inference('cnf.neg', [status(esa)], [zf_stmt_13])). 131.10/17.43 thf(zip_derived_cl166, plain, (~ (in @ sk__559 @ sk__556)), 131.10/17.43 inference('cnf', [status(esa)], [zf_stmt_14])). 131.10/17.43 thf(zip_derived_cl167, plain, 131.10/17.43 ( (in @ (kpair @ sk__559 @ sk__560) @ 131.10/17.43 (dsetconstr @ (cartprod @ sk__556 @ sk__557) @ 131.10/17.43 (^[Y0 : $i]: 131.10/17.43 (((??) @ (^[Y1 : $i]: 131.10/17.43 (((in @ Y1 @ sk__556) & 131.10/17.43 (((??) @ (^[Y2 : $i]: 131.10/17.43 (((in @ Y2 @ sk__557) & 131.10/17.43 (sk__558 @ Y1 @ Y2) & 131.10/17.43 (((Y0) = (kpair @ Y1 @ Y2))))))))))))))))), 131.10/17.43 inference('cnf', [status(esa)], [zf_stmt_14])). 131.10/17.43 thf(zip_derived_cl164, plain, 131.10/17.43 (![X254 : $i, X255 : $i, X256 : $i > $i > $o]: 131.10/17.43 (subset @ 131.10/17.43 (dsetconstr @ (cartprod @ X254 @ X255) @ 131.10/17.43 (^[Y0 : $i]: 131.10/17.43 (((??) @ (^[Y1 : $i]: 131.10/17.43 (((in @ Y1 @ X254) & 131.10/17.43 (((??) @ (^[Y2 : $i]: 131.10/17.43 (((in @ Y2 @ X255) & 131.10/17.43 (X256 @ Y1 @ Y2) & 131.10/17.43 (((Y0) = (kpair @ Y1 @ Y2))))))))))))))) @ 131.10/17.43 (cartprod @ X254 @ X255))), 131.10/17.43 inference('cnf', [status(esa)], [zf_stmt_14])). 131.10/17.43 thf(zip_derived_cl10787, plain, 131.10/17.43 (![X254 : $i, X255 : $i, X256 : $i > $i > $o, X257 : $i]: 131.10/17.43 (('#l_lift13994' @ X254 @ X255 @ X256 @ X257) 131.10/17.43 = (((??) @ (^[Y0 : $i]: 131.10/17.43 (((in @ Y0 @ X254) & 131.10/17.43 (((??) @ (^[Y1 : $i]: 131.10/17.43 (((in @ Y1 @ X255) & (X256 @ Y0 @ Y1) & 131.10/17.43 (((X257) = (kpair @ Y0 @ Y1))))))))))))))), 131.10/17.43 define([status(thm)])). 131.10/17.43 thf(zip_derived_cl10790, plain, 131.10/17.43 ( (in @ (kpair @ sk__559 @ sk__560) @ 131.10/17.43 (dsetconstr @ (cartprod @ sk__556 @ sk__557) @ 131.10/17.43 ('#l_lift13994' @ sk__556 @ sk__557 @ sk__558)))), 131.10/17.43 inference('lambda_lifting', [status(thm)], 131.10/17.43 [zip_derived_cl167, zip_derived_cl10787])). 131.10/17.43 thf(zip_derived_cl172, plain, 131.10/17.43 (![X278 : $i, X279 : $i, X280 : $i, X281 : $i]: 131.10/17.43 ( (in @ X278 @ X279) 131.10/17.43 | ~ (in @ (kpair @ X278 @ X280) @ (cartprod @ X279 @ X281)))), 131.10/17.43 inference('cnf', [status(esa)], [zf_stmt_14])). 131.10/17.43 thf(zip_derived_cl10830, plain, 131.10/17.43 (![X471 : $i, X472 : $i, X473 : $i > $o]: 131.10/17.43 ( (in @ X471 @ X472) | ~ (in @ X471 @ (dsetconstr @ X472 @ X473)))), 131.10/17.43 inference('cnf', [status(esa)], [zf_stmt_14])). 131.10/17.43 thf(zip_derived_cl10833, plain, ($false), 131.10/17.43 inference('eprover', [status(thm)], 131.10/17.43 [zip_derived_cl166, zip_derived_cl10790, zip_derived_cl172, 131.10/17.43 zip_derived_cl10830])). 131.10/17.43 131.10/17.43 % SZS output end Refutation 131.10/17.43 131.10/17.43 131.10/17.43 % Terminating... 131.88/17.53 % Runner terminated. 131.88/17.54 % Zipperpin 1.5 exiting 131.88/17.54 EOF