0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.mJ9ITO3RJw true 0.10/0.37 % Computer : n008.cluster.edu 0.10/0.37 % Model : x86_64 x86_64 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.37 % Memory : 8046.5625MB 0.10/0.37 % OS : Linux 6.8.0-71-generic 0.10/0.37 % CPULimit : 1440 0.10/0.37 % WCLimit : 180 0.10/0.37 % DateTime : Mon Jul 27 09:00:33 UTC 2026 0.10/0.38 % CPUTime : 0.10/0.38 % Running portfolio for 1440 s 0.10/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.10/0.38 % Number of cores: 8 0.10/0.38 % Python version: Python 3.12.3 0.10/0.39 % Running in HO mode 0.34/0.82 % Total configuration time : 828 0.34/0.82 % Estimated wc time : 1656 0.34/0.82 % Estimated cpu time (8 cpus) : 207.0 0.35/0.92 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.35/1.02 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.35/1.03 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.35/1.03 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.35/1.03 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.35/1.03 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.35/1.03 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.35/1.04 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 27.98/4.38 % Solved by lams/15_e_short1.sh. 27.98/4.38 % done 71 iterations in 3.192s 27.98/4.38 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 27.98/4.38 % SZS output start Refutation 27.98/4.38 thf(setadjoinAx_type, type, setadjoinAx: $o). 27.98/4.38 thf(notdexE_type, type, notdexE: $o). 27.98/4.38 thf(setunionAx_type, type, setunionAx: $o). 27.98/4.38 thf(powersetE_type, type, powersetE: $o). 27.98/4.38 thf(omegaSAx_type, type, omegaSAx: $o). 27.98/4.38 thf(exuI1_type, type, exuI1: $o). 27.98/4.38 thf(exuI2_type, type, exuI2: $o). 27.98/4.38 thf(notequalI2_type, type, notequalI2: $o). 27.98/4.38 thf(powerset__Cong_type, type, powerset__Cong: $o). 27.98/4.38 thf(wellorderingAx_type, type, wellorderingAx: $o). 27.98/4.38 thf(setadjoinSub2_type, type, setadjoinSub2: $o). 27.98/4.38 thf(setoftrueEq_type, type, setoftrueEq: $o). 27.98/4.38 thf(emptyset__Cong_type, type, emptyset__Cong: $o). 27.98/4.38 thf(sepInPowerset_type, type, sepInPowerset: $o). 27.98/4.38 thf(binunionE_type, type, binunionE: $o). 27.98/4.38 thf(setext_type, type, setext: $o). 27.98/4.38 thf(emptyinPowerset_type, type, emptyinPowerset: $o). 27.98/4.38 thf(descr__Cong_type, type, descr__Cong: $o). 27.98/4.38 thf(in_type, type, in: $i > $i > $o). 27.98/4.38 thf(quantDeMorgan1_type, type, quantDeMorgan1: $o). 27.98/4.38 thf(binunion_type, type, binunion: $i > $i > $i). 27.98/4.38 thf(setadjoinIR_type, type, setadjoinIR: $o). 27.98/4.38 thf(setadjoin__Cong_type, type, setadjoin__Cong: $o). 27.98/4.38 thf(upairset2IR_type, type, upairset2IR: $o). 27.98/4.38 thf(subsetE_type, type, subsetE: $o). 27.98/4.38 thf(prop2set2propI_type, type, prop2set2propI: $o). 27.98/4.38 thf(dsetconstrEL_type, type, dsetconstrEL: $o). 27.98/4.38 thf(setbeta_type, type, setbeta: $o). 27.98/4.38 thf(eqinunit_type, type, eqinunit: $o). 27.98/4.38 thf(upairsetIL_type, type, upairsetIL: $o). 27.98/4.38 thf(powersetI1_type, type, powersetI1: $o). 27.98/4.38 thf(binintersectSubset2_type, type, binintersectSubset2: $o). 27.98/4.38 thf(powersetAx_type, type, powersetAx: $o). 27.98/4.38 thf(powersetI_type, type, powersetI: $o). 27.98/4.38 thf(upairsetIR_type, type, upairsetIR: $o). 27.98/4.38 thf(inCongP_type, type, inCongP: $o). 27.98/4.38 thf(setadjoinSub_type, type, setadjoinSub: $o). 27.98/4.38 thf(exuE3e_type, type, exuE3e: $o). 27.98/4.38 thf(emptysetE_type, type, emptysetE: $o). 27.98/4.38 thf(binintersectLsub_type, type, binintersectLsub: $o). 27.98/4.38 thf(setunionI_type, type, setunionI: $o). 27.98/4.38 thf(setunion__Cong_type, type, setunion__Cong: $o). 27.98/4.38 thf(prop2setI_type, type, prop2setI: $o). 27.98/4.38 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o). 27.98/4.38 thf(exuE2_type, type, exuE2: $o). 27.98/4.38 thf(emptyset_type, type, emptyset: $i). 27.98/4.38 thf(powersetsubset_type, type, powersetsubset: $o). 27.98/4.38 thf(subPowSU_type, type, subPowSU: $o). 27.98/4.38 thf(notequalI1_type, type, notequalI1: $o). 27.98/4.38 thf(notinemptyset_type, type, notinemptyset: $o). 27.98/4.38 thf(nonemptyI1_type, type, nonemptyI1: $o). 27.98/4.38 thf(subsetTrans_type, type, subsetTrans: $o). 27.98/4.38 thf(binunionIL_type, type, binunionIL: $o). 27.98/4.38 thf(subsetE2_type, type, subsetE2: $o). 27.98/4.38 thf(singletonsswitch_type, type, singletonsswitch: $o). 27.98/4.38 thf(setextsub_type, type, setextsub: $o). 27.98/4.38 thf(binunionLsub_type, type, binunionLsub: $o). 27.98/4.38 thf(binintersect_type, type, binintersect: $i > $i > $i). 27.98/4.38 thf(emptysetsubset_type, type, emptysetsubset: $o). 27.98/4.38 thf(quantDeMorgan3_type, type, quantDeMorgan3: $o). 27.98/4.38 thf(setunionE_type, type, setunionE: $o). 27.98/4.38 thf(binintersectSubset5_type, type, binintersectSubset5: $o). 27.98/4.38 thf(emptyinunitempty_type, type, emptyinunitempty: $o). 27.98/4.38 thf(binunionIR_type, type, binunionIR: $o). 27.98/4.38 thf(setadjoinE_type, type, setadjoinE: $o). 27.98/4.38 thf(descr_type, type, descr: ($i > $o) > $i). 27.98/4.38 thf(setadjoinIL_type, type, setadjoinIL: $o). 27.98/4.38 thf(exuE1_type, type, exuE1: $o). 27.98/4.38 thf(prop2set_type, type, prop2set: $o > $i). 27.98/4.38 thf(notinsingleton_type, type, notinsingleton: $o). 27.98/4.38 thf(eqimpsubset2_type, type, eqimpsubset2: $o). 27.98/4.38 thf(exuEu_type, type, exuEu: $o). 27.98/4.38 thf(binintersectI_type, type, binintersectI: $o). 27.98/4.38 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o). 27.98/4.38 thf(upairsetE_type, type, upairsetE: $o). 27.98/4.38 thf(omega0Ax_type, type, omega0Ax: $o). 27.98/4.38 thf(notsubsetI_type, type, notsubsetI: $o). 27.98/4.38 thf(quantDeMorgan4_type, type, quantDeMorgan4: $o). 27.98/4.38 thf(setextAx_type, type, setextAx: $o). 27.98/4.38 thf(powersetE1_type, type, powersetE1: $o). 27.98/4.38 thf(noeltsimpempty_type, type, noeltsimpempty: $o). 27.98/4.38 thf(setunion_type, type, setunion: $i > $i). 27.98/4.38 thf(subsetI1_type, type, subsetI1: $o). 27.98/4.38 thf(descrp_type, type, descrp: $o). 27.98/4.38 thf(dsetconstr__Cong_type, type, dsetconstr__Cong: $o). 27.98/4.38 thf(foundationAx_type, type, foundationAx: $o). 27.98/4.38 thf(emptysetAx_type, type, emptysetAx: $o). 27.98/4.38 thf(emptyI_type, type, emptyI: $o). 27.98/4.38 thf(setadjoinOr_type, type, setadjoinOr: $o). 27.98/4.38 thf(emptyE1_type, type, emptyE1: $o). 27.98/4.38 thf(emptyInPowerset_type, type, emptyInPowerset: $o). 27.98/4.38 thf(vacuousDall_type, type, vacuousDall: $o). 27.98/4.38 thf(dsetconstr_type, type, dsetconstr: $i > ($i > $o) > $i). 27.98/4.38 thf(dsetconstrER_type, type, dsetconstrER: $o). 27.98/4.38 thf(exu_type, type, exu: ($i > $o) > $o). 27.98/4.38 thf(subsetI2_type, type, subsetI2: $o). 27.98/4.38 thf(binintersectEL_type, type, binintersectEL: $o). 27.98/4.38 thf(omega__Cong_type, type, omega__Cong: $o). 27.98/4.38 thf(subsetRefl_type, type, subsetRefl: $o). 27.98/4.38 thf(uniqinunit_type, type, uniqinunit: $o). 27.98/4.38 thf(prop2setE_type, type, prop2setE: $o). 27.98/4.38 thf(binunionEcases_type, type, binunionEcases: $o). 27.98/4.38 thf(omega_type, type, omega: $i). 27.98/4.38 thf(nonemptyI_type, type, nonemptyI: $o). 27.98/4.38 thf(exuE3u_type, type, exuE3u: $o). 27.98/4.38 thf(sepSubset_type, type, sepSubset: $o). 27.98/4.38 thf(eqimpsubset1_type, type, eqimpsubset1: $o). 27.98/4.38 thf(exuI3_type, type, exuI3: $o). 27.98/4.38 thf(notdallE_type, type, notdallE: $o). 27.98/4.38 thf(binintersectSubset3_type, type, binintersectSubset3: $o). 27.98/4.38 thf(powerset_type, type, powerset: $i > $i). 27.98/4.38 thf(dsetconstrI_type, type, dsetconstrI: $o). 27.98/4.38 thf(nonempty_type, type, nonempty: $i > $o). 27.98/4.38 thf(set2prop_type, type, set2prop: $i > $o). 27.98/4.38 thf(setadjoin_type, type, setadjoin: $i > $i > $i). 27.98/4.38 thf(exu__Cong_type, type, exu__Cong: $o). 27.98/4.38 thf(quantDeMorgan2_type, type, quantDeMorgan2: $o). 27.98/4.38 thf(subsetemptysetimpeq_type, type, subsetemptysetimpeq: $o). 27.98/4.38 thf(replAx_type, type, replAx: $o). 27.98/4.38 thf(nonemptyE1_type, type, nonemptyE1: $o). 27.98/4.38 thf(omegaIndAx_type, type, omegaIndAx: $o). 27.98/4.38 thf(inPowerset_type, type, inPowerset: $o). 27.98/4.38 thf(subset_type, type, subset: $i > $i > $o). 27.98/4.38 thf(in__Cong_type, type, in__Cong: $o). 27.98/4.38 thf(binunionRsub_type, type, binunionRsub: $o). 27.98/4.38 thf(subset2powerset_type, type, subset2powerset: $o). 27.98/4.38 thf(binintersectSubset3, axiom, binintersectSubset3 = 27.98/4.38 (![A:$i,B:$i]: 27.98/4.38 ( ( ( binintersect @ A @ B ) = ( B ) ) => ( subset @ B @ A ) ))). 27.98/4.38 thf('0', plain, 27.98/4.38 (( binintersectSubset3 ) = 27.98/4.38 ( ![X4:$i,X6:$i]: 27.98/4.38 ( ( ( binintersect @ X4 @ X6 ) = ( X6 ) ) => ( subset @ X6 @ X4 ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(binintersectSubset2, axiom, binintersectSubset2 = 27.98/4.38 (![A:$i,B:$i]: 27.98/4.38 ( ( subset @ A @ B ) => ( ( binintersect @ A @ B ) = ( A ) ) ))). 27.98/4.38 thf('1', plain, 27.98/4.38 (( binintersectSubset2 ) = 27.98/4.38 ( ![X4:$i,X6:$i]: 27.98/4.38 ( ( subset @ X4 @ X6 ) => ( ( binintersect @ X4 @ X6 ) = ( X4 ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(binintersectLsub, axiom, binintersectLsub = 27.98/4.38 (![A:$i,B:$i]: ( subset @ ( binintersect @ A @ B ) @ A ))). 27.98/4.38 thf('2', plain, 27.98/4.38 (( binintersectLsub ) = 27.98/4.38 ( ![X4:$i,X6:$i]: ( subset @ ( binintersect @ X4 @ X6 ) @ X4 ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(binintersectEL, axiom, binintersectEL = 27.98/4.38 (![A:$i,B:$i,Xx:$i]: 27.98/4.38 ( ( in @ Xx @ ( binintersect @ A @ B ) ) => ( in @ Xx @ A ) ))). 27.98/4.38 thf('3', plain, 27.98/4.38 (( binintersectEL ) = 27.98/4.38 ( ![X4:$i,X6:$i,X8:$i]: 27.98/4.38 ( ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) => ( in @ X8 @ X4 ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(binintersectSubset5, axiom, binintersectSubset5 = 27.98/4.38 (![A:$i,B:$i,C:$i]: 27.98/4.38 ( ( subset @ C @ A ) => 27.98/4.38 ( ( subset @ C @ B ) => ( subset @ C @ ( binintersect @ A @ B ) ) ) ))). 27.98/4.38 thf('4', plain, 27.98/4.38 (( binintersectSubset5 ) = 27.98/4.38 ( ![X4:$i,X6:$i,X8:$i]: 27.98/4.38 ( ( subset @ X8 @ X4 ) => 27.98/4.38 ( ( subset @ X8 @ X6 ) => 27.98/4.38 ( subset @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(binintersectI, axiom, binintersectI = 27.98/4.38 (![A:$i,B:$i,Xx:$i]: 27.98/4.38 ( ( in @ Xx @ A ) => 27.98/4.38 ( ( in @ Xx @ B ) => ( in @ Xx @ ( binintersect @ A @ B ) ) ) ))). 27.98/4.38 thf('5', plain, 27.98/4.38 (( binintersectI ) = 27.98/4.38 ( ![X4:$i,X6:$i,X8:$i]: 27.98/4.38 ( ( in @ X8 @ X4 ) => 27.98/4.38 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(binintersect, axiom,(( binintersect ) = 27.98/4.38 (^[A:$i,B:$i]: ( dsetconstr @ A @ ( ^[Xx:$i]: ( in @ Xx @ B ) ) )))). 27.98/4.38 thf('6', plain, 27.98/4.38 (( binintersect ) = 27.98/4.38 ( ^[A:$i,B:$i]: ( dsetconstr @ A @ ( ^[Xx:$i]: ( in @ Xx @ B ) ) ) )), 27.98/4.38 inference('simplify_rw_rule', [status(thm)], [binintersect])). 27.98/4.38 thf('7', plain, 27.98/4.38 (( binintersect ) = 27.98/4.38 ( ^[V_1:$i,V_2:$i]: 27.98/4.38 ( dsetconstr @ V_1 @ ( ^[V_3:$i]: ( in @ V_3 @ V_2 ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(binunionRsub, axiom, binunionRsub = 27.98/4.38 (![A:$i,B:$i]: ( subset @ B @ ( binunion @ A @ B ) ))). 27.98/4.38 thf('8', plain, 27.98/4.38 (( binunionRsub ) = 27.98/4.38 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( binunion @ X4 @ X6 ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(binunionLsub, axiom, binunionLsub = 27.98/4.38 (![A:$i,B:$i]: ( subset @ A @ ( binunion @ A @ B ) ))). 27.98/4.38 thf('9', plain, 27.98/4.38 (( binunionLsub ) = 27.98/4.38 ( ![X4:$i,X6:$i]: ( subset @ X4 @ ( binunion @ X4 @ X6 ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(binunionE, axiom, binunionE = 27.98/4.38 (![A:$i,B:$i,Xx:$i]: 27.98/4.38 ( ( in @ Xx @ ( binunion @ A @ B ) ) => 27.98/4.38 ( ( in @ Xx @ A ) | ( in @ Xx @ B ) ) ))). 27.98/4.38 thf('10', plain, 27.98/4.38 (( binunionE ) = 27.98/4.38 ( ![X4:$i,X6:$i,X8:$i]: 27.98/4.38 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) => 27.98/4.38 ( ( in @ X8 @ X4 ) | ( in @ X8 @ X6 ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(binunionEcases, axiom, binunionEcases = 27.98/4.38 (![A:$i,B:$i,Xx:$i,Xphi:$o]: 27.98/4.38 ( ( in @ Xx @ ( binunion @ A @ B ) ) => 27.98/4.38 ( ( ( in @ Xx @ A ) => ( Xphi ) ) => 27.98/4.38 ( ( ( in @ Xx @ B ) => ( Xphi ) ) => ( Xphi ) ) ) ))). 27.98/4.38 thf('11', plain, 27.98/4.38 (( binunionEcases ) = 27.98/4.38 ( ![X4:$i,X6:$i,X8:$i,X10:$o]: 27.98/4.38 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) => 27.98/4.38 ( ( ( in @ X8 @ X4 ) => ( X10 ) ) => 27.98/4.38 ( ( ( in @ X8 @ X6 ) => ( X10 ) ) => ( X10 ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(binunionIR, axiom, binunionIR = 27.98/4.38 (![A:$i,B:$i,Xx:$i]: 27.98/4.38 ( ( in @ Xx @ B ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))). 27.98/4.38 thf('12', plain, 27.98/4.38 (( binunionIR ) = 27.98/4.38 ( ![X4:$i,X6:$i,X8:$i]: 27.98/4.38 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(upairset2IR, axiom, upairset2IR = 27.98/4.38 (![Xx:$i,Xy:$i]: 27.98/4.38 ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 27.98/4.38 thf('13', plain, 27.98/4.38 (( upairset2IR ) = 27.98/4.38 ( ![X4:$i,X6:$i]: 27.98/4.38 ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(binunionIL, axiom, binunionIL = 27.98/4.38 (![A:$i,B:$i,Xx:$i]: 27.98/4.38 ( ( in @ Xx @ A ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))). 27.98/4.38 thf('14', plain, 27.98/4.38 (( binunionIL ) = 27.98/4.38 ( ![X4:$i,X6:$i,X8:$i]: 27.98/4.38 ( ( in @ X8 @ X4 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(sepSubset, axiom, sepSubset = 27.98/4.38 (![A:$i,Xphi:( $i > $o )]: 27.98/4.38 ( subset @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) @ A ))). 27.98/4.38 thf('15', plain, 27.98/4.38 (( sepSubset ) = 27.98/4.38 ( ![X4:$i,X6:( $i > $o )]: 27.98/4.38 ( subset @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) @ X4 ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(sepInPowerset, axiom, sepInPowerset = 27.98/4.38 (![A:$i,Xphi:( $i > $o )]: 27.98/4.38 ( in @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) @ ( powerset @ A ) ))). 27.98/4.38 thf('16', plain, 27.98/4.38 (( sepInPowerset ) = 27.98/4.38 ( ![X4:$i,X6:( $i > $o )]: 27.98/4.38 ( in @ 27.98/4.38 ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) @ 27.98/4.38 ( powerset @ X4 ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(powersetsubset, axiom, powersetsubset = 27.98/4.38 (![A:$i,B:$i]: 27.98/4.38 ( ( subset @ A @ B ) => ( subset @ ( powerset @ A ) @ ( powerset @ B ) ) ))). 27.98/4.38 thf('17', plain, 27.98/4.38 (( powersetsubset ) = 27.98/4.38 ( ![X4:$i,X6:$i]: 27.98/4.38 ( ( subset @ X4 @ X6 ) => 27.98/4.38 ( subset @ ( powerset @ X4 ) @ ( powerset @ X6 ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(inPowerset, axiom, inPowerset = (![A:$i]: ( in @ A @ ( powerset @ A ) ))). 27.98/4.38 thf('18', plain, 27.98/4.38 (( inPowerset ) = ( ![X4:$i]: ( in @ X4 @ ( powerset @ X4 ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(powersetE1, axiom, powersetE1 = 27.98/4.38 (![A:$i,B:$i]: ( ( in @ B @ ( powerset @ A ) ) => ( subset @ B @ A ) ))). 27.98/4.38 thf('19', plain, 27.98/4.38 (( powersetE1 ) = 27.98/4.38 ( ![X4:$i,X6:$i]: 27.98/4.38 ( ( in @ X6 @ ( powerset @ X4 ) ) => ( subset @ X6 @ X4 ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(powersetI1, axiom, powersetI1 = 27.98/4.38 (![A:$i,B:$i]: ( ( subset @ B @ A ) => ( in @ B @ ( powerset @ A ) ) ))). 27.98/4.38 thf('20', plain, 27.98/4.38 (( powersetI1 ) = 27.98/4.38 ( ![X4:$i,X6:$i]: 27.98/4.38 ( ( subset @ X6 @ X4 ) => ( in @ X6 @ ( powerset @ X4 ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(subsetemptysetimpeq, axiom, subsetemptysetimpeq = 27.98/4.38 (![A:$i]: ( ( subset @ A @ emptyset ) => ( ( A ) = ( emptyset ) ) ))). 27.98/4.38 thf('21', plain, 27.98/4.38 (( subsetemptysetimpeq ) = 27.98/4.38 ( ![X4:$i]: ( ( subset @ X4 @ emptyset ) => ( ( X4 ) = ( emptyset ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(setextsub, axiom, setextsub = 27.98/4.38 (![A:$i,B:$i]: 27.98/4.38 ( ( subset @ A @ B ) => ( ( subset @ B @ A ) => ( ( A ) = ( B ) ) ) ))). 27.98/4.38 thf('22', plain, 27.98/4.38 (( setextsub ) = 27.98/4.38 ( ![X4:$i,X6:$i]: 27.98/4.38 ( ( subset @ X4 @ X6 ) => 27.98/4.38 ( ( subset @ X6 @ X4 ) => ( ( X4 ) = ( X6 ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(subset2powerset, axiom, subset2powerset = 27.98/4.38 (![A:$i,B:$i]: ( ( subset @ A @ B ) => ( in @ A @ ( powerset @ B ) ) ))). 27.98/4.38 thf('23', plain, 27.98/4.38 (( subset2powerset ) = 27.98/4.38 ( ![X4:$i,X6:$i]: 27.98/4.38 ( ( subset @ X4 @ X6 ) => ( in @ X4 @ ( powerset @ X6 ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(setadjoinSub2, axiom, setadjoinSub2 = 27.98/4.38 (![A:$i,Xx:$i,B:$i]: 27.98/4.38 ( ( subset @ A @ B ) => ( subset @ A @ ( setadjoin @ Xx @ B ) ) ))). 27.98/4.38 thf('24', plain, 27.98/4.38 (( setadjoinSub2 ) = 27.98/4.38 ( ![X4:$i,X6:$i,X8:$i]: 27.98/4.38 ( ( subset @ X4 @ X8 ) => ( subset @ X4 @ ( setadjoin @ X6 @ X8 ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(setadjoinSub, axiom, setadjoinSub = 27.98/4.38 (![Xx:$i,A:$i]: ( subset @ A @ ( setadjoin @ Xx @ A ) ))). 27.98/4.38 thf('25', plain, 27.98/4.38 (( setadjoinSub ) = 27.98/4.38 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( setadjoin @ X4 @ X6 ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(subsetTrans, axiom, subsetTrans = 27.98/4.38 (![A:$i,B:$i,C:$i]: 27.98/4.38 ( ( subset @ A @ B ) => ( ( subset @ B @ C ) => ( subset @ A @ C ) ) ))). 27.98/4.38 thf('26', plain, 27.98/4.38 (( subsetTrans ) = 27.98/4.38 ( ![X4:$i,X6:$i,X8:$i]: 27.98/4.38 ( ( subset @ X4 @ X6 ) => 27.98/4.38 ( ( subset @ X6 @ X8 ) => ( subset @ X4 @ X8 ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(subsetRefl, axiom, subsetRefl = (![A:$i]: ( subset @ A @ A ))). 27.98/4.38 thf('27', plain, (( subsetRefl ) = ( ![X4:$i]: ( subset @ X4 @ X4 ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(notequalI2, axiom, notequalI2 = 27.98/4.38 (![A:$i,B:$i,Xx:$i]: 27.98/4.38 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ( A ) != ( B ) ) ) ))). 27.98/4.38 thf('28', plain, 27.98/4.38 (( notequalI2 ) = 27.98/4.38 ( ![X4:$i,X6:$i,X8:$i]: 27.98/4.38 ( ( in @ X8 @ X4 ) => 27.98/4.38 ( ( ~( in @ X8 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(notequalI1, axiom, notequalI1 = 27.98/4.38 (![A:$i,B:$i]: ( ( ~( subset @ A @ B ) ) => ( ( A ) != ( B ) ) ))). 27.98/4.38 thf('29', plain, 27.98/4.38 (( notequalI1 ) = 27.98/4.38 ( ![X4:$i,X6:$i]: ( ( ~( subset @ X4 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(notsubsetI, axiom, notsubsetI = 27.98/4.38 (![A:$i,B:$i,Xx:$i]: 27.98/4.38 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ~( subset @ A @ B ) ) ) ))). 27.98/4.38 thf('30', plain, 27.98/4.38 (( notsubsetI ) = 27.98/4.38 ( ![X4:$i,X6:$i,X8:$i]: 27.98/4.38 ( ( in @ X8 @ X4 ) => 27.98/4.38 ( ( ~( in @ X8 @ X6 ) ) => ( ~( subset @ X4 @ X6 ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(subsetE2, axiom, subsetE2 = 27.98/4.38 (![A:$i,B:$i,Xx:$i]: 27.98/4.38 ( ( subset @ A @ B ) => ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))). 27.98/4.38 thf('31', plain, 27.98/4.38 (( subsetE2 ) = 27.98/4.38 ( ![X4:$i,X6:$i,X8:$i]: 27.98/4.38 ( ( subset @ X4 @ X6 ) => 27.98/4.38 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(subsetE, axiom, subsetE = 27.98/4.38 (![A:$i,B:$i,Xx:$i]: 27.98/4.38 ( ( subset @ A @ B ) => ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))). 27.98/4.38 thf('32', plain, 27.98/4.38 (( subsetE ) = 27.98/4.38 ( ![X4:$i,X6:$i,X8:$i]: 27.98/4.38 ( ( subset @ X4 @ X6 ) => ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(emptysetsubset, axiom, emptysetsubset = 27.98/4.38 (![A:$i]: ( subset @ emptyset @ A ))). 27.98/4.38 thf('33', plain, 27.98/4.38 (( emptysetsubset ) = ( ![X4:$i]: ( subset @ emptyset @ X4 ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(subsetI2, axiom, subsetI2 = 27.98/4.38 (![A:$i,B:$i]: 27.98/4.38 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 27.98/4.38 ( subset @ A @ B ) ))). 27.98/4.38 thf('34', plain, 27.98/4.38 (( subsetI2 ) = 27.98/4.38 ( ![X4:$i,X6:$i]: 27.98/4.38 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 27.98/4.38 ( subset @ X4 @ X6 ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(eqimpsubset1, axiom, eqimpsubset1 = 27.98/4.38 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ A @ B ) ))). 27.98/4.38 thf('35', plain, 27.98/4.38 (( eqimpsubset1 ) = 27.98/4.38 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X4 @ X6 ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(eqimpsubset2, axiom, eqimpsubset2 = 27.98/4.38 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ B @ A ) ))). 27.98/4.38 thf('36', plain, 27.98/4.38 (( eqimpsubset2 ) = 27.98/4.38 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X6 @ X4 ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(subsetI1, axiom, subsetI1 = 27.98/4.38 (![A:$i,B:$i]: 27.98/4.38 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 27.98/4.38 ( subset @ A @ B ) ))). 27.98/4.38 thf('37', plain, 27.98/4.38 (( subsetI1 ) = 27.98/4.38 ( ![X4:$i,X6:$i]: 27.98/4.38 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 27.98/4.38 ( subset @ X4 @ X6 ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(dsetconstr__Cong, axiom, dsetconstr__Cong = 27.98/4.38 (![A:$i,B:$i]: 27.98/4.38 ( ( ( A ) = ( B ) ) => 27.98/4.38 ( ![Xphi:( $i > $o ),Xpsi:( $i > $o )]: 27.98/4.38 ( ( ![Xx:$i]: 27.98/4.38 ( ( in @ Xx @ A ) => 27.98/4.38 ( ![Xy:$i]: 27.98/4.38 ( ( in @ Xy @ B ) => 27.98/4.38 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) ) ) ) => 27.98/4.38 ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) = 27.98/4.38 ( dsetconstr @ B @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ) ) ))). 27.98/4.38 thf('38', plain, 27.98/4.38 (( dsetconstr__Cong ) = 27.98/4.38 ( ![X4:$i,X6:$i]: 27.98/4.38 ( ( ( X4 ) = ( X6 ) ) => 27.98/4.38 ( ![X8:( $i > $o ),X10:( $i > $o )]: 27.98/4.38 ( ( ![X12:$i]: 27.98/4.38 ( ( in @ X12 @ X4 ) => 27.98/4.38 ( ![X14:$i]: 27.98/4.38 ( ( in @ X14 @ X6 ) => 27.98/4.38 ( ( ( X12 ) = ( X14 ) ) => 27.98/4.38 ( ( X8 @ X12 ) <=> ( X10 @ X14 ) ) ) ) ) ) ) => 27.98/4.38 ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X8 @ V_1 ) ) ) = 27.98/4.38 ( dsetconstr @ X6 @ ( ^[V_2:$i]: ( X10 @ V_2 ) ) ) ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(descr__Cong, axiom, descr__Cong = 27.98/4.38 (![Xphi:( $i > $o ),Xpsi:( $i > $o )]: 27.98/4.38 ( ( ![Xx:$i,Xy:$i]: 27.98/4.38 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) => 27.98/4.38 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 27.98/4.38 ( ( exu @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) => 27.98/4.38 ( ( descr @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) = 27.98/4.38 ( descr @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ) ) ))). 27.98/4.38 thf('39', plain, 27.98/4.38 (( descr__Cong ) = 27.98/4.38 ( ![X4:( $i > $o ),X6:( $i > $o )]: 27.98/4.38 ( ( ![X8:$i,X10:$i]: 27.98/4.38 ( ( ( X8 ) = ( X10 ) ) => ( ( X4 @ X8 ) <=> ( X6 @ X10 ) ) ) ) => 27.98/4.38 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 27.98/4.38 ( ( exu @ ( ^[V_2:$i]: ( X6 @ V_2 ) ) ) => 27.98/4.38 ( ( descr @ ( ^[V_3:$i]: ( X4 @ V_3 ) ) ) = 27.98/4.38 ( descr @ ( ^[V_4:$i]: ( X6 @ V_4 ) ) ) ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(exuEu, axiom, exuEu = 27.98/4.38 (![Xphi:( $i > $o )]: 27.98/4.38 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 27.98/4.38 ( ![Xx:$i,Xy:$i]: 27.98/4.38 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) ))). 27.98/4.38 thf('40', plain, 27.98/4.38 (( exuEu ) = 27.98/4.38 ( ![X4:( $i > $o )]: 27.98/4.38 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 27.98/4.38 ( ![X6:$i,X8:$i]: 27.98/4.38 ( ( X4 @ X6 ) => ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(omega__Cong, axiom, omega__Cong = (( omega ) = ( omega ))). 27.98/4.38 thf('41', plain, (( omega__Cong ) = ( ( omega ) = ( omega ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(setunion__Cong, axiom, setunion__Cong = 27.98/4.38 (![A:$i,B:$i]: 27.98/4.38 ( ( ( A ) = ( B ) ) => ( ( setunion @ A ) = ( setunion @ B ) ) ))). 27.98/4.38 thf('42', plain, 27.98/4.38 (( setunion__Cong ) = 27.98/4.38 ( ![X4:$i,X6:$i]: 27.98/4.38 ( ( ( X4 ) = ( X6 ) ) => ( ( setunion @ X4 ) = ( setunion @ X6 ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(powerset__Cong, axiom, powerset__Cong = 27.98/4.38 (![A:$i,B:$i]: 27.98/4.38 ( ( ( A ) = ( B ) ) => ( ( powerset @ A ) = ( powerset @ B ) ) ))). 27.98/4.38 thf('43', plain, 27.98/4.38 (( powerset__Cong ) = 27.98/4.38 ( ![X4:$i,X6:$i]: 27.98/4.38 ( ( ( X4 ) = ( X6 ) ) => ( ( powerset @ X4 ) = ( powerset @ X6 ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(setadjoin__Cong, axiom, setadjoin__Cong = 27.98/4.38 (![Xx:$i,Xy:$i]: 27.98/4.38 ( ( ( Xx ) = ( Xy ) ) => 27.98/4.38 ( ![Xz:$i,Xu:$i]: 27.98/4.38 ( ( ( Xz ) = ( Xu ) ) => 27.98/4.38 ( ( setadjoin @ Xx @ Xz ) = ( setadjoin @ Xy @ Xu ) ) ) ) ))). 27.98/4.38 thf('44', plain, 27.98/4.38 (( setadjoin__Cong ) = 27.98/4.38 ( ![X4:$i,X6:$i]: 27.98/4.38 ( ( ( X4 ) = ( X6 ) ) => 27.98/4.38 ( ![X8:$i,X10:$i]: 27.98/4.38 ( ( ( X8 ) = ( X10 ) ) => 27.98/4.38 ( ( setadjoin @ X4 @ X8 ) = ( setadjoin @ X6 @ X10 ) ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(emptyset__Cong, axiom, emptyset__Cong = (( emptyset ) = ( emptyset ))). 27.98/4.38 thf('45', plain, (( emptyset__Cong ) = ( ( emptyset ) = ( emptyset ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(exu__Cong, axiom, exu__Cong = 27.98/4.38 (![Xphi:( $i > $o ),Xpsi:( $i > $o )]: 27.98/4.38 ( ( ![Xx:$i,Xy:$i]: 27.98/4.38 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) => 27.98/4.38 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) <=> 27.98/4.38 ( exu @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ))). 27.98/4.38 thf('46', plain, 27.98/4.38 (( exu__Cong ) = 27.98/4.38 ( ![X4:( $i > $o ),X6:( $i > $o )]: 27.98/4.38 ( ( ![X8:$i,X10:$i]: 27.98/4.38 ( ( ( X8 ) = ( X10 ) ) => ( ( X4 @ X8 ) <=> ( X6 @ X10 ) ) ) ) => 27.98/4.38 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) <=> 27.98/4.38 ( exu @ ( ^[V_2:$i]: ( X6 @ V_2 ) ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(exuE3u, axiom, exuE3u = 27.98/4.38 (![Xphi:( $i > $o )]: 27.98/4.38 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 27.98/4.38 ( ![Xx:$i,Xy:$i]: 27.98/4.38 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) ))). 27.98/4.38 thf('47', plain, 27.98/4.38 (( exuE3u ) = 27.98/4.38 ( ![X4:( $i > $o )]: 27.98/4.38 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 27.98/4.38 ( ![X6:$i,X8:$i]: 27.98/4.38 ( ( X4 @ X6 ) => ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(in__Cong, axiom, in__Cong = 27.98/4.38 (![A:$i,B:$i]: 27.98/4.38 ( ( ( A ) = ( B ) ) => 27.98/4.38 ( ![Xx:$i,Xy:$i]: 27.98/4.38 ( ( ( Xx ) = ( Xy ) ) => ( ( in @ Xx @ A ) <=> ( in @ Xy @ B ) ) ) ) ))). 27.98/4.38 thf('48', plain, 27.98/4.38 (( in__Cong ) = 27.98/4.38 ( ![X4:$i,X6:$i]: 27.98/4.38 ( ( ( X4 ) = ( X6 ) ) => 27.98/4.38 ( ![X8:$i,X10:$i]: 27.98/4.38 ( ( ( X8 ) = ( X10 ) ) => 27.98/4.38 ( ( in @ X8 @ X4 ) <=> ( in @ X10 @ X6 ) ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(inCongP, axiom, inCongP = 27.98/4.38 (![A:$i,B:$i]: 27.98/4.38 ( ( ( A ) = ( B ) ) => 27.98/4.38 ( ![Xx:$i,Xy:$i]: 27.98/4.38 ( ( ( Xx ) = ( Xy ) ) => ( ( in @ Xx @ A ) => ( in @ Xy @ B ) ) ) ) ))). 27.98/4.38 thf('49', plain, 27.98/4.38 (( inCongP ) = 27.98/4.38 ( ![X4:$i,X6:$i]: 27.98/4.38 ( ( ( X4 ) = ( X6 ) ) => 27.98/4.38 ( ![X8:$i,X10:$i]: 27.98/4.38 ( ( ( X8 ) = ( X10 ) ) => 27.98/4.38 ( ( in @ X8 @ X4 ) => ( in @ X10 @ X6 ) ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(exuI2, axiom, exuI2 = 27.98/4.38 (![Xphi:( $i > $o )]: 27.98/4.38 ( ( ?[Xx:$i]: ( ![Xy:$i]: ( ( Xphi @ Xy ) <=> ( ( Xy ) = ( Xx ) ) ) ) ) => 27.98/4.38 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ))). 27.98/4.38 thf('50', plain, 27.98/4.38 (( exuI2 ) = 27.98/4.38 ( ![X4:( $i > $o )]: 27.98/4.38 ( ( ?[X6:$i]: ( ![X8:$i]: ( ( X4 @ X8 ) <=> ( ( X8 ) = ( X6 ) ) ) ) ) => 27.98/4.38 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(exuI3, axiom, exuI3 = 27.98/4.38 (![Xphi:( $i > $o )]: 27.98/4.38 ( ( ?[Xx:$i]: ( Xphi @ Xx ) ) => 27.98/4.38 ( ( ![Xx:$i,Xy:$i]: 27.98/4.38 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) => 27.98/4.38 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ) ))). 27.98/4.38 thf('51', plain, 27.98/4.38 (( exuI3 ) = 27.98/4.38 ( ![X4:( $i > $o )]: 27.98/4.38 ( ( ?[X6:$i]: ( X4 @ X6 ) ) => 27.98/4.38 ( ( ![X8:$i,X10:$i]: 27.98/4.38 ( ( X4 @ X8 ) => ( ( X4 @ X10 ) => ( ( X8 ) = ( X10 ) ) ) ) ) => 27.98/4.38 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(exuI1, axiom, exuI1 = 27.98/4.38 (![Xphi:( $i > $o )]: 27.98/4.38 ( ( ?[Xx:$i]: 27.98/4.38 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 27.98/4.38 ( Xphi @ Xx ) ) ) => 27.98/4.38 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ))). 27.98/4.38 thf('52', plain, 27.98/4.38 (( exuI1 ) = 27.98/4.38 ( ![X4:( $i > $o )]: 27.98/4.38 ( ( ?[X6:$i]: 27.98/4.38 ( ( ![X8:$i]: ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) & 27.98/4.38 ( X4 @ X6 ) ) ) => 27.98/4.38 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(notdallE, axiom, notdallE = 27.98/4.38 (![A:$i,Xphi:( $i > $o )]: 27.98/4.38 ( ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) => 27.98/4.38 ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) ))). 27.98/4.38 thf('53', plain, 27.98/4.38 (( notdallE ) = 27.98/4.38 ( ![X4:$i,X6:( $i > $o )]: 27.98/4.38 ( ( ~( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( X6 @ X8 ) ) ) ) => 27.98/4.38 ( ?[X10:$i]: ( ( ~( X6 @ X10 ) ) & ( in @ X10 @ X4 ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(notdexE, axiom, notdexE = 27.98/4.38 (![A:$i,Xphi:( $i > $o )]: 27.98/4.38 ( ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) => 27.98/4.38 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) ))). 27.98/4.38 thf('54', plain, 27.98/4.38 (( notdexE ) = 27.98/4.38 ( ![X4:$i,X6:( $i > $o )]: 27.98/4.38 ( ( ~( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) => 27.98/4.38 ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( ~( X6 @ X10 ) ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(prop2set2propI, axiom, prop2set2propI = 27.98/4.38 (![Xphi:$o]: ( ( Xphi ) => ( set2prop @ ( prop2set @ Xphi ) ) ))). 27.98/4.38 thf('55', plain, 27.98/4.38 (( prop2set2propI ) = 27.98/4.38 ( ![X4:$o]: ( ( X4 ) => ( set2prop @ ( prop2set @ X4 ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(prop2setI, axiom, prop2setI = 27.98/4.38 (![Xphi:$o]: ( ( Xphi ) => ( in @ emptyset @ ( prop2set @ Xphi ) ) ))). 27.98/4.38 thf('56', plain, 27.98/4.38 (( prop2setI ) = 27.98/4.38 ( ![X4:$o]: ( ( X4 ) => ( in @ emptyset @ ( prop2set @ X4 ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(quantDeMorgan4, axiom, quantDeMorgan4 = 27.98/4.38 (![A:$i,Xphi:( $i > $o )]: 27.98/4.38 ( ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) => 27.98/4.38 ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) ))). 27.98/4.38 thf('57', plain, 27.98/4.38 (( quantDeMorgan4 ) = 27.98/4.38 ( ![X4:$i,X6:( $i > $o )]: 27.98/4.38 ( ( ?[X8:$i]: ( ( ~( X6 @ X8 ) ) & ( in @ X8 @ X4 ) ) ) => 27.98/4.38 ( ~( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( X6 @ X10 ) ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(quantDeMorgan3, axiom, quantDeMorgan3 = 27.98/4.38 (![A:$i,Xphi:( $i > $o )]: 27.98/4.38 ( ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) => 27.98/4.38 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) ))). 27.98/4.38 thf('58', plain, 27.98/4.38 (( quantDeMorgan3 ) = 27.98/4.38 ( ![X4:$i,X6:( $i > $o )]: 27.98/4.38 ( ( ~( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) => 27.98/4.38 ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( ~( X6 @ X10 ) ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(quantDeMorgan2, axiom, quantDeMorgan2 = 27.98/4.38 (![A:$i,Xphi:( $i > $o )]: 27.98/4.38 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) => 27.98/4.38 ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) ))). 27.98/4.38 thf('59', plain, 27.98/4.38 (( quantDeMorgan2 ) = 27.98/4.38 ( ![X4:$i,X6:( $i > $o )]: 27.98/4.38 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( ~( X6 @ X8 ) ) ) ) => 27.98/4.38 ( ~( ?[X10:$i]: ( ( X6 @ X10 ) & ( in @ X10 @ X4 ) ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(quantDeMorgan1, axiom, quantDeMorgan1 = 27.98/4.38 (![A:$i,Xphi:( $i > $o )]: 27.98/4.38 ( ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) => 27.98/4.38 ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) ))). 27.98/4.38 thf('60', plain, 27.98/4.38 (( quantDeMorgan1 ) = 27.98/4.38 ( ![X4:$i,X6:( $i > $o )]: 27.98/4.38 ( ( ~( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( X6 @ X8 ) ) ) ) => 27.98/4.38 ( ?[X10:$i]: ( ( ~( X6 @ X10 ) ) & ( in @ X10 @ X4 ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(vacuousDall, axiom, vacuousDall = 27.98/4.38 (![Xphi:( $i > $o ),Xx:$i]: ( ( in @ Xx @ emptyset ) => ( Xphi @ Xx ) ))). 27.98/4.38 thf('61', plain, 27.98/4.38 (( vacuousDall ) = 27.98/4.38 ( ![X4:( $i > $o ),X6:$i]: ( ( in @ X6 @ emptyset ) => ( X4 @ X6 ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(emptyE1, axiom, emptyE1 = 27.98/4.38 (![A:$i,Xphi:( $i > $o )]: 27.98/4.38 ( ( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) => 27.98/4.38 ( ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) = ( emptyset ) ) => 27.98/4.38 ( $false ) ) ))). 27.98/4.38 thf('62', plain, 27.98/4.38 (( emptyE1 ) = 27.98/4.38 ( ![X4:$i,X6:( $i > $o )]: 27.98/4.38 ( ( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) => 27.98/4.38 ( ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) = ( emptyset ) ) => 27.98/4.38 ( $false ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(upairsetIR, axiom, upairsetIR = 27.98/4.38 (![Xx:$i,Xy:$i]: 27.98/4.38 ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 27.98/4.38 thf('63', plain, 27.98/4.38 (( upairsetIR ) = 27.98/4.38 ( ![X4:$i,X6:$i]: 27.98/4.38 ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(upairsetIL, axiom, upairsetIL = 27.98/4.38 (![Xx:$i,Xy:$i]: 27.98/4.38 ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 27.98/4.38 thf('64', plain, 27.98/4.38 (( upairsetIL ) = 27.98/4.38 ( ![X4:$i,X6:$i]: 27.98/4.38 ( in @ X4 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(upairsetE, axiom, upairsetE = 27.98/4.38 (![Xx:$i,Xy:$i,Xz:$i]: 27.98/4.38 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) => 27.98/4.38 ( ( ( Xz ) = ( Xx ) ) | ( ( Xz ) = ( Xy ) ) ) ))). 27.98/4.38 thf('65', plain, 27.98/4.38 (( upairsetE ) = 27.98/4.38 ( ![X4:$i,X6:$i,X8:$i]: 27.98/4.38 ( ( in @ X8 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) => 27.98/4.38 ( ( ( X8 ) = ( X4 ) ) | ( ( X8 ) = ( X6 ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(singletonsswitch, axiom, singletonsswitch = 27.98/4.38 (![Xx:$i,Xy:$i]: 27.98/4.38 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) => 27.98/4.38 ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ))). 27.98/4.38 thf('66', plain, 27.98/4.38 (( singletonsswitch ) = 27.98/4.38 ( ![X4:$i,X6:$i]: 27.98/4.38 ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) => 27.98/4.38 ( in @ X6 @ ( setadjoin @ X4 @ emptyset ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(eqinunit, axiom, eqinunit = 27.98/4.38 (![Xx:$i,Xy:$i]: 27.98/4.38 ( ( ( Xx ) = ( Xy ) ) => ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 27.98/4.38 thf('67', plain, 27.98/4.38 (( eqinunit ) = 27.98/4.38 ( ![X4:$i,X6:$i]: 27.98/4.38 ( ( ( X4 ) = ( X6 ) ) => ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(notinsingleton, axiom, notinsingleton = 27.98/4.38 (![Xx:$i,Xy:$i]: 27.98/4.38 ( ( ( Xx ) != ( Xy ) ) => ( ~( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ))). 27.98/4.38 thf('68', plain, 27.98/4.38 (( notinsingleton ) = 27.98/4.38 ( ![X4:$i,X6:$i]: 27.98/4.38 ( ( ( X4 ) != ( X6 ) ) => 27.98/4.38 ( ~( in @ X6 @ ( setadjoin @ X4 @ emptyset ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(uniqinunit, axiom, uniqinunit = 27.98/4.38 (![Xx:$i,Xy:$i]: 27.98/4.38 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) => ( ( Xx ) = ( Xy ) ) ))). 27.98/4.38 thf('69', plain, 27.98/4.38 (( uniqinunit ) = 27.98/4.38 ( ![X4:$i,X6:$i]: 27.98/4.38 ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) => ( ( X4 ) = ( X6 ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(nonemptyImpWitness, axiom, nonemptyImpWitness = 27.98/4.38 (![A:$i]: ( ( nonempty @ A ) => ( ?[Xx:$i]: ( in @ Xx @ A ) ) ))). 27.98/4.38 thf('70', plain, 27.98/4.38 (( nonemptyImpWitness ) = 27.98/4.38 ( ![X4:$i]: ( ( nonempty @ X4 ) => ( ?[X6:$i]: ( in @ X6 @ X4 ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(exuE2, axiom, exuE2 = 27.98/4.38 (![Xphi:( $i > $o )]: 27.98/4.38 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 27.98/4.38 ( ?[Xx:$i]: ( ![Xy:$i]: ( ( Xphi @ Xy ) <=> ( ( Xy ) = ( Xx ) ) ) ) ) ))). 27.98/4.38 thf('71', plain, 27.98/4.38 (( exuE2 ) = 27.98/4.38 ( ![X4:( $i > $o )]: 27.98/4.38 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 27.98/4.38 ( ?[X6:$i]: ( ![X8:$i]: ( ( X4 @ X8 ) <=> ( ( X8 ) = ( X6 ) ) ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(subPowSU, axiom, subPowSU = 27.98/4.38 (![A:$i,Xx:$i]: 27.98/4.38 ( ( in @ Xx @ A ) => ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ))). 27.98/4.38 thf('72', plain, 27.98/4.38 (( subPowSU ) = 27.98/4.38 ( ![X4:$i,X6:$i]: 27.98/4.38 ( ( in @ X6 @ X4 ) => ( in @ X6 @ ( powerset @ ( setunion @ X4 ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(setunionE, axiom, setunionE = 27.98/4.38 (![A:$i,Xx:$i]: 27.98/4.38 ( ( in @ Xx @ ( setunion @ A ) ) => 27.98/4.38 ( ![Xphi:$o]: 27.98/4.38 ( ( ![B:$i]: ( ( in @ Xx @ B ) => ( ( in @ B @ A ) => ( Xphi ) ) ) ) => 27.98/4.38 ( Xphi ) ) ) ))). 27.98/4.38 thf('73', plain, 27.98/4.38 (( setunionE ) = 27.98/4.38 ( ![X4:$i,X6:$i]: 27.98/4.38 ( ( in @ X6 @ ( setunion @ X4 ) ) => 27.98/4.38 ( ![X8:$o]: 27.98/4.38 ( ( ![X10:$i]: 27.98/4.38 ( ( in @ X6 @ X10 ) => ( ( in @ X10 @ X4 ) => ( X8 ) ) ) ) => 27.98/4.38 ( X8 ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(setunionI, axiom, setunionI = 27.98/4.38 (![A:$i,Xx:$i,B:$i]: 27.98/4.38 ( ( in @ Xx @ B ) => ( ( in @ B @ A ) => ( in @ Xx @ ( setunion @ A ) ) ) ))). 27.98/4.38 thf('74', plain, 27.98/4.38 (( setunionI ) = 27.98/4.38 ( ![X4:$i,X6:$i,X8:$i]: 27.98/4.38 ( ( in @ X6 @ X8 ) => 27.98/4.38 ( ( in @ X8 @ X4 ) => ( in @ X6 @ ( setunion @ X4 ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(powersetE, axiom, powersetE = 27.98/4.38 (![A:$i,B:$i,Xx:$i]: 27.98/4.38 ( ( in @ B @ ( powerset @ A ) ) => ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ))). 27.98/4.38 thf('75', plain, 27.98/4.38 (( powersetE ) = 27.98/4.38 ( ![X4:$i,X6:$i,X8:$i]: 27.98/4.38 ( ( in @ X6 @ ( powerset @ X4 ) ) => 27.98/4.38 ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(emptyInPowerset, axiom, emptyInPowerset = 27.98/4.38 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 27.98/4.38 thf('76', plain, 27.98/4.38 (( emptyInPowerset ) = 27.98/4.38 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(emptyinPowerset, axiom, emptyinPowerset = 27.98/4.38 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 27.98/4.38 thf('77', plain, 27.98/4.38 (( emptyinPowerset ) = 27.98/4.38 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(powersetI, axiom, powersetI = 27.98/4.38 (![A:$i,B:$i]: 27.98/4.38 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) => 27.98/4.38 ( in @ B @ ( powerset @ A ) ) ))). 27.98/4.38 thf('78', plain, 27.98/4.38 (( powersetI ) = 27.98/4.38 ( ![X4:$i,X6:$i]: 27.98/4.38 ( ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) => 27.98/4.38 ( in @ X6 @ ( powerset @ X4 ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(setoftrueEq, axiom, setoftrueEq = 27.98/4.38 (![A:$i]: ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( $true ) ) ) = ( A ) ))). 27.98/4.38 thf('79', plain, 27.98/4.38 (( setoftrueEq ) = 27.98/4.38 ( ![X4:$i]: ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( $true ) ) ) = ( X4 ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(setadjoinOr, axiom, setadjoinOr = 27.98/4.38 (![Xx:$i,A:$i,Xy:$i]: 27.98/4.38 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) => 27.98/4.38 ( ( ( Xy ) = ( Xx ) ) | ( in @ Xy @ A ) ) ))). 27.98/4.38 thf('80', plain, 27.98/4.38 (( setadjoinOr ) = 27.98/4.38 ( ![X4:$i,X6:$i,X8:$i]: 27.98/4.38 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) => 27.98/4.38 ( ( ( X8 ) = ( X4 ) ) | ( in @ X8 @ X6 ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(setadjoinE, axiom, setadjoinE = 27.98/4.38 (![Xx:$i,A:$i,Xy:$i]: 27.98/4.38 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) => 27.98/4.38 ( ![Xphi:$o]: 27.98/4.38 ( ( ( ( Xy ) = ( Xx ) ) => ( Xphi ) ) => 27.98/4.38 ( ( ( in @ Xy @ A ) => ( Xphi ) ) => ( Xphi ) ) ) ) ))). 27.98/4.38 thf('81', plain, 27.98/4.38 (( setadjoinE ) = 27.98/4.38 ( ![X4:$i,X6:$i,X8:$i]: 27.98/4.38 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) => 27.98/4.38 ( ![X10:$o]: 27.98/4.38 ( ( ( ( X8 ) = ( X4 ) ) => ( X10 ) ) => 27.98/4.38 ( ( ( in @ X8 @ X6 ) => ( X10 ) ) => ( X10 ) ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(setadjoinIR, axiom, setadjoinIR = 27.98/4.38 (![Xx:$i,A:$i,Xy:$i]: 27.98/4.38 ( ( in @ Xy @ A ) => ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ))). 27.98/4.38 thf('82', plain, 27.98/4.38 (( setadjoinIR ) = 27.98/4.38 ( ![X4:$i,X6:$i,X8:$i]: 27.98/4.38 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(emptyinunitempty, axiom,(( emptyinunitempty ) = 27.98/4.38 (in @ emptyset @ ( setadjoin @ emptyset @ emptyset )))). 27.98/4.38 thf('83', plain, 27.98/4.38 (( emptyinunitempty ) = 27.98/4.38 ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )), 27.98/4.38 inference('simplify_rw_rule', [status(thm)], [emptyinunitempty])). 27.98/4.38 thf('84', plain, 27.98/4.38 (( emptyinunitempty ) = 27.98/4.38 ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(setadjoinIL, axiom, setadjoinIL = 27.98/4.38 (![Xx:$i,Xy:$i]: ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ))). 27.98/4.38 thf('85', plain, 27.98/4.38 (( setadjoinIL ) = 27.98/4.38 ( ![X4:$i,X6:$i]: ( in @ X4 @ ( setadjoin @ X4 @ X6 ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(nonemptyI1, axiom, nonemptyI1 = 27.98/4.38 (![A:$i]: ( ( ?[Xx:$i]: ( in @ Xx @ A ) ) => ( nonempty @ A ) ))). 27.98/4.38 thf('86', plain, 27.98/4.38 (( nonemptyI1 ) = 27.98/4.38 ( ![X4:$i]: ( ( ?[X6:$i]: ( in @ X6 @ X4 ) ) => ( nonempty @ X4 ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(nonemptyI, axiom, nonemptyI = 27.98/4.38 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 27.98/4.38 ( ( in @ Xx @ A ) => 27.98/4.38 ( ( Xphi @ Xx ) => 27.98/4.38 ( nonempty @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) ) ))). 27.98/4.38 thf('87', plain, 27.98/4.38 (( nonemptyI ) = 27.98/4.38 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 27.98/4.38 ( ( in @ X8 @ X4 ) => 27.98/4.38 ( ( X6 @ X8 ) => 27.98/4.38 ( nonempty @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(nonemptyE1, axiom, nonemptyE1 = 27.98/4.38 (![A:$i]: ( ( nonempty @ A ) => ( ?[Xx:$i]: ( in @ Xx @ A ) ) ))). 27.98/4.38 thf('88', plain, 27.98/4.38 (( nonemptyE1 ) = 27.98/4.38 ( ![X4:$i]: ( ( nonempty @ X4 ) => ( ?[X6:$i]: ( in @ X6 @ X4 ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(nonempty, axiom,(( nonempty ) = (^[Xx:$i]: ( ( Xx ) != ( emptyset ) )))). 27.98/4.38 thf('89', plain, (( nonempty ) = ( ^[Xx:$i]: ( ( Xx ) != ( emptyset ) ) )), 27.98/4.38 inference('simplify_rw_rule', [status(thm)], [nonempty])). 27.98/4.38 thf('90', plain, (( nonempty ) = ( ^[V_1:$i]: ( ( V_1 ) != ( emptyset ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(setbeta, axiom, setbeta = 27.98/4.38 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 27.98/4.38 ( ( in @ Xx @ A ) => 27.98/4.38 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) <=> 27.98/4.38 ( Xphi @ Xx ) ) ))). 27.98/4.38 thf('91', plain, 27.98/4.38 (( setbeta ) = 27.98/4.38 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 27.98/4.38 ( ( in @ X8 @ X4 ) => 27.98/4.38 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) <=> 27.98/4.38 ( X6 @ X8 ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(noeltsimpempty, axiom, noeltsimpempty = 27.98/4.38 (![A:$i]: 27.98/4.38 ( ( ![Xx:$i]: ( ~( in @ Xx @ A ) ) ) => ( ( A ) = ( emptyset ) ) ))). 27.98/4.38 thf('92', plain, 27.98/4.38 (( noeltsimpempty ) = 27.98/4.38 ( ![X4:$i]: 27.98/4.38 ( ( ![X6:$i]: ( ~( in @ X6 @ X4 ) ) ) => ( ( X4 ) = ( emptyset ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(emptyI, axiom, emptyI = 27.98/4.38 (![A:$i]: 27.98/4.38 ( ( ![Xx:$i]: ( ~( in @ Xx @ A ) ) ) => ( ( A ) = ( emptyset ) ) ))). 27.98/4.38 thf('93', plain, 27.98/4.38 (( emptyI ) = 27.98/4.38 ( ![X4:$i]: 27.98/4.38 ( ( ![X6:$i]: ( ~( in @ X6 @ X4 ) ) ) => ( ( X4 ) = ( emptyset ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(setext, axiom, setext = 27.98/4.38 (![A:$i,B:$i]: 27.98/4.38 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 27.98/4.38 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) => 27.98/4.38 ( ( A ) = ( B ) ) ) ))). 27.98/4.38 thf('94', plain, 27.98/4.38 (( setext ) = 27.98/4.38 ( ![X4:$i,X6:$i]: 27.98/4.38 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 27.98/4.38 ( ( ![X10:$i]: ( ( in @ X10 @ X6 ) => ( in @ X10 @ X4 ) ) ) => 27.98/4.38 ( ( X4 ) = ( X6 ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(exuE3e, axiom, exuE3e = 27.98/4.38 (![Xphi:( $i > $o )]: 27.98/4.38 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => ( ?[Xx:$i]: ( Xphi @ Xx ) ) ))). 27.98/4.38 thf('95', plain, 27.98/4.38 (( exuE3e ) = 27.98/4.38 ( ![X4:( $i > $o )]: 27.98/4.38 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => ( ?[X6:$i]: ( X4 @ X6 ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(notinemptyset, axiom, notinemptyset = 27.98/4.38 (![Xx:$i]: ( ~( in @ Xx @ emptyset ) ))). 27.98/4.38 thf('96', plain, 27.98/4.38 (( notinemptyset ) = ( ![X4:$i]: ( ~( in @ X4 @ emptyset ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(emptysetimpfalse, axiom, emptysetimpfalse = 27.98/4.38 (![Xx:$i]: ( ( in @ Xx @ emptyset ) => ( $false ) ))). 27.98/4.38 thf('97', plain, 27.98/4.38 (( emptysetimpfalse ) = 27.98/4.38 ( ![X4:$i]: ( ( in @ X4 @ emptyset ) => ( $false ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(emptysetE, axiom, emptysetE = 27.98/4.38 (![Xx:$i]: ( ( in @ Xx @ emptyset ) => ( ![Xphi:$o]: ( Xphi ) ) ))). 27.98/4.38 thf('98', plain, 27.98/4.38 (( emptysetE ) = 27.98/4.38 ( ![X4:$i]: ( ( in @ X4 @ emptyset ) => ( ![X6:$o]: ( X6 ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(prop2setE, axiom, prop2setE = 27.98/4.38 (![Xphi:$o,Xx:$i]: ( ( in @ Xx @ ( prop2set @ Xphi ) ) => ( Xphi ) ))). 27.98/4.38 thf('99', plain, 27.98/4.38 (( prop2setE ) = 27.98/4.38 ( ![X4:$o,X6:$i]: ( ( in @ X6 @ ( prop2set @ X4 ) ) => ( X4 ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(exuE1, axiom, exuE1 = 27.98/4.38 (![Xphi:( $i > $o )]: 27.98/4.38 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 27.98/4.38 ( ?[Xx:$i]: 27.98/4.38 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 27.98/4.38 ( Xphi @ Xx ) ) ) ))). 27.98/4.38 thf('100', plain, 27.98/4.38 (( exuE1 ) = 27.98/4.38 ( ![X4:( $i > $o )]: 27.98/4.38 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 27.98/4.38 ( ?[X6:$i]: 27.98/4.38 ( ( ![X8:$i]: ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) & 27.98/4.38 ( X4 @ X6 ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(dsetconstrER, axiom, dsetconstrER = 27.98/4.38 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 27.98/4.38 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) => 27.98/4.38 ( Xphi @ Xx ) ))). 27.98/4.38 thf('101', plain, 27.98/4.38 (( dsetconstrER ) = 27.98/4.38 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 27.98/4.38 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) => 27.98/4.38 ( X6 @ X8 ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(dsetconstrEL, axiom, dsetconstrEL = 27.98/4.38 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 27.98/4.38 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) => 27.98/4.38 ( in @ Xx @ A ) ))). 27.98/4.38 thf('102', plain, 27.98/4.38 (( dsetconstrEL ) = 27.98/4.38 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 27.98/4.38 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) => 27.98/4.38 ( in @ X8 @ X4 ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(dsetconstrI, axiom, dsetconstrI = 27.98/4.38 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 27.98/4.38 ( ( in @ Xx @ A ) => 27.98/4.38 ( ( Xphi @ Xx ) => 27.98/4.38 ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) ) ))). 27.98/4.38 thf('103', plain, 27.98/4.38 (( dsetconstrI ) = 27.98/4.38 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 27.98/4.38 ( ( in @ X8 @ X4 ) => 27.98/4.38 ( ( X6 @ X8 ) => 27.98/4.38 ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(descrp, axiom, descrp = 27.98/4.38 (![Xphi:( $i > $o )]: 27.98/4.38 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 27.98/4.38 ( Xphi @ ( descr @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ) ))). 27.98/4.38 thf('104', plain, 27.98/4.38 (( descrp ) = 27.98/4.38 ( ![X4:( $i > $o )]: 27.98/4.38 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 27.98/4.38 ( X4 @ ( descr @ ( ^[V_2:$i]: ( X4 @ V_2 ) ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(wellorderingAx, axiom, wellorderingAx = 27.98/4.38 (![A:$i]: 27.98/4.38 ( ?[B:$i]: 27.98/4.38 ( ( ![C:$i]: 27.98/4.38 ( ( ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ A ) ) ) & 27.98/4.38 ( ?[Xx:$i]: ( in @ Xx @ C ) ) ) => 27.98/4.38 ( ?[D:$i,Xx:$i]: 27.98/4.38 ( ( ![E:$i]: 27.98/4.38 ( ( in @ E @ B ) => 27.98/4.38 ( ( ![Xy:$i]: ( ( in @ Xy @ E ) => ( in @ Xy @ D ) ) ) | 27.98/4.38 ( in @ Xx @ E ) ) ) ) & 27.98/4.38 ( ~( ?[Xy:$i]: ( ( in @ Xy @ C ) & ( in @ Xy @ D ) ) ) ) & 27.98/4.38 ( in @ Xx @ C ) & ( in @ D @ B ) ) ) ) ) & 27.98/4.38 ( ![C:$i,D:$i]: 27.98/4.38 ( ( ( in @ C @ B ) & ( in @ D @ B ) ) => 27.98/4.38 ( ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ D ) ) ) | 27.98/4.38 ( ![Xx:$i]: ( ( in @ Xx @ D ) => ( in @ Xx @ C ) ) ) ) ) ) & 27.98/4.38 ( ![Xx:$i,Xy:$i]: 27.98/4.38 ( ( ( in @ Xx @ A ) & ( in @ Xy @ A ) ) => 27.98/4.38 ( ( ![C:$i]: 27.98/4.38 ( ( in @ C @ B ) => ( ( in @ Xx @ C ) <=> ( in @ Xy @ C ) ) ) ) => 27.98/4.38 ( ( Xx ) = ( Xy ) ) ) ) ) & 27.98/4.38 ( ![C:$i]: 27.98/4.38 ( ( in @ C @ B ) => 27.98/4.38 ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ A ) ) ) ) ) ) ))). 27.98/4.38 thf('105', plain, 27.98/4.38 (( wellorderingAx ) = 27.98/4.38 ( ![X4:$i]: 27.98/4.38 ( ?[X6:$i]: 27.98/4.38 ( ( ![X8:$i]: 27.98/4.38 ( ( ( ![X10:$i]: ( ( in @ X10 @ X8 ) => ( in @ X10 @ X4 ) ) ) & 27.98/4.38 ( ?[X12:$i]: ( in @ X12 @ X8 ) ) ) => 27.98/4.38 ( ?[X14:$i,X16:$i]: 27.98/4.38 ( ( ![X18:$i]: 27.98/4.38 ( ( in @ X18 @ X6 ) => 27.98/4.38 ( ( ![X20:$i]: 27.98/4.38 ( ( in @ X20 @ X18 ) => ( in @ X20 @ X14 ) ) ) | 27.98/4.38 ( in @ X16 @ X18 ) ) ) ) & 27.98/4.38 ( ~( ?[X22:$i]: ( ( in @ X22 @ X8 ) & ( in @ X22 @ X14 ) ) ) ) & 27.98/4.38 ( in @ X16 @ X8 ) & ( in @ X14 @ X6 ) ) ) ) ) & 27.98/4.38 ( ![X24:$i,X26:$i]: 27.98/4.38 ( ( ( in @ X24 @ X6 ) & ( in @ X26 @ X6 ) ) => 27.98/4.38 ( ( ![X28:$i]: ( ( in @ X28 @ X24 ) => ( in @ X28 @ X26 ) ) ) | 27.98/4.38 ( ![X30:$i]: ( ( in @ X30 @ X26 ) => ( in @ X30 @ X24 ) ) ) ) ) ) & 27.98/4.38 ( ![X32:$i,X34:$i]: 27.98/4.38 ( ( ( in @ X32 @ X4 ) & ( in @ X34 @ X4 ) ) => 27.98/4.38 ( ( ![X36:$i]: 27.98/4.38 ( ( in @ X36 @ X6 ) => 27.98/4.38 ( ( in @ X32 @ X36 ) <=> ( in @ X34 @ X36 ) ) ) ) => 27.98/4.38 ( ( X32 ) = ( X34 ) ) ) ) ) & 27.98/4.38 ( ![X38:$i]: 27.98/4.38 ( ( in @ X38 @ X6 ) => 27.98/4.38 ( ![X40:$i]: ( ( in @ X40 @ X38 ) => ( in @ X40 @ X4 ) ) ) ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(foundationAx, axiom, foundationAx = 27.98/4.38 (![A:$i]: 27.98/4.38 ( ( ?[Xx:$i]: ( in @ Xx @ A ) ) => 27.98/4.38 ( ?[B:$i]: 27.98/4.38 ( ( ~( ?[Xx:$i]: ( ( in @ Xx @ A ) & ( in @ Xx @ B ) ) ) ) & 27.98/4.38 ( in @ B @ A ) ) ) ))). 27.98/4.38 thf('106', plain, 27.98/4.38 (( foundationAx ) = 27.98/4.38 ( ![X4:$i]: 27.98/4.38 ( ( ?[X6:$i]: ( in @ X6 @ X4 ) ) => 27.98/4.38 ( ?[X8:$i]: 27.98/4.38 ( ( ~( ?[X10:$i]: ( ( in @ X10 @ X4 ) & ( in @ X10 @ X8 ) ) ) ) & 27.98/4.38 ( in @ X8 @ X4 ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(replAx, axiom, replAx = 27.98/4.38 (![Xphi:( $i > $i > $o ),A:$i]: 27.98/4.38 ( ( ![Xx:$i]: 27.98/4.38 ( ( in @ Xx @ A ) => ( exu @ ( ^[Xy:$i]: ( Xphi @ Xx @ Xy ) ) ) ) ) => 27.98/4.38 ( ?[B:$i]: 27.98/4.38 ( ![Xx:$i]: 27.98/4.38 ( ( in @ Xx @ B ) <=> 27.98/4.38 ( ?[Xy:$i]: ( ( Xphi @ Xy @ Xx ) & ( in @ Xy @ A ) ) ) ) ) ) ))). 27.98/4.38 thf('107', plain, 27.98/4.38 (( replAx ) = 27.98/4.38 ( ![X4:( $i > $i > $o ),X6:$i]: 27.98/4.38 ( ( ![X8:$i]: 27.98/4.38 ( ( in @ X8 @ X6 ) => ( exu @ ( ^[V_1:$i]: ( X4 @ X8 @ V_1 ) ) ) ) ) => 27.98/4.38 ( ?[X10:$i]: 27.98/4.38 ( ![X12:$i]: 27.98/4.38 ( ( in @ X12 @ X10 ) <=> 27.98/4.38 ( ?[X14:$i]: ( ( X4 @ X14 @ X12 ) & ( in @ X14 @ X6 ) ) ) ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(omegaIndAx, axiom, omegaIndAx = 27.98/4.38 (![A:$i]: 27.98/4.38 ( ( ( in @ emptyset @ A ) & 27.98/4.38 ( ![Xx:$i]: 27.98/4.38 ( ( ( in @ Xx @ omega ) & ( in @ Xx @ A ) ) => 27.98/4.38 ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) ) ) => 27.98/4.38 ( ![Xx:$i]: ( ( in @ Xx @ omega ) => ( in @ Xx @ A ) ) ) ))). 27.98/4.38 thf('108', plain, 27.98/4.38 (( omegaIndAx ) = 27.98/4.38 ( ![X4:$i]: 27.98/4.38 ( ( ( in @ emptyset @ X4 ) & 27.98/4.38 ( ![X6:$i]: 27.98/4.38 ( ( ( in @ X6 @ omega ) & ( in @ X6 @ X4 ) ) => 27.98/4.38 ( in @ ( setadjoin @ X6 @ X6 ) @ X4 ) ) ) ) => 27.98/4.38 ( ![X8:$i]: ( ( in @ X8 @ omega ) => ( in @ X8 @ X4 ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(omegaSAx, axiom, omegaSAx = 27.98/4.38 (![Xx:$i]: 27.98/4.38 ( ( in @ Xx @ omega ) => ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ))). 27.98/4.38 thf('109', plain, 27.98/4.38 (( omegaSAx ) = 27.98/4.38 ( ![X4:$i]: 27.98/4.38 ( ( in @ X4 @ omega ) => ( in @ ( setadjoin @ X4 @ X4 ) @ omega ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(omega0Ax, axiom,(( omega0Ax ) = (in @ emptyset @ omega))). 27.98/4.38 thf('110', plain, (( omega0Ax ) = ( in @ emptyset @ omega )), 27.98/4.38 inference('simplify_rw_rule', [status(thm)], [omega0Ax])). 27.98/4.38 thf('111', plain, (( omega0Ax ) = ( in @ emptyset @ omega )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(setunionAx, axiom, setunionAx = 27.98/4.38 (![A:$i,Xx:$i]: 27.98/4.38 ( ( in @ Xx @ ( setunion @ A ) ) <=> 27.98/4.38 ( ?[B:$i]: ( ( in @ B @ A ) & ( in @ Xx @ B ) ) ) ))). 27.98/4.38 thf('112', plain, 27.98/4.38 (( setunionAx ) = 27.98/4.38 ( ![X4:$i,X6:$i]: 27.98/4.38 ( ( in @ X6 @ ( setunion @ X4 ) ) <=> 27.98/4.38 ( ?[X8:$i]: ( ( in @ X8 @ X4 ) & ( in @ X6 @ X8 ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(powersetAx, axiom, powersetAx = 27.98/4.38 (![A:$i,B:$i]: 27.98/4.38 ( ( in @ B @ ( powerset @ A ) ) <=> 27.98/4.38 ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) ))). 27.98/4.38 thf('113', plain, 27.98/4.38 (( powersetAx ) = 27.98/4.38 ( ![X4:$i,X6:$i]: 27.98/4.38 ( ( in @ X6 @ ( powerset @ X4 ) ) <=> 27.98/4.38 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(setadjoinAx, axiom, setadjoinAx = 27.98/4.38 (![Xx:$i,A:$i,Xy:$i]: 27.98/4.38 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) <=> 27.98/4.38 ( ( ( Xy ) = ( Xx ) ) | ( in @ Xy @ A ) ) ))). 27.98/4.38 thf('114', plain, 27.98/4.38 (( setadjoinAx ) = 27.98/4.38 ( ![X4:$i,X6:$i,X8:$i]: 27.98/4.38 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) <=> 27.98/4.38 ( ( ( X8 ) = ( X4 ) ) | ( in @ X8 @ X6 ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(emptysetAx, axiom, emptysetAx = (![Xx:$i]: ( ~( in @ Xx @ emptyset ) ))). 27.98/4.38 thf('115', plain, 27.98/4.38 (( emptysetAx ) = ( ![X4:$i]: ( ~( in @ X4 @ emptyset ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(setextAx, axiom, setextAx = 27.98/4.38 (![A:$i,B:$i]: 27.98/4.38 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) <=> ( in @ Xx @ B ) ) ) => 27.98/4.38 ( ( A ) = ( B ) ) ))). 27.98/4.38 thf('116', plain, 27.98/4.38 (( setextAx ) = 27.98/4.38 ( ![X4:$i,X6:$i]: 27.98/4.38 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 27.98/4.38 ( ( X4 ) = ( X6 ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(exu, axiom,(( exu ) = 27.98/4.38 (^[Xphi:( $i > $o )]: 27.98/4.38 ( ?[Xx:$i]: 27.98/4.38 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & ( Xphi @ Xx ) ) )))). 27.98/4.38 thf('117', plain, 27.98/4.38 (( exu ) = 27.98/4.38 ( ^[Xphi:( $i > $o )]: 27.98/4.38 ( ?[Xx:$i]: 27.98/4.38 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 27.98/4.38 ( Xphi @ Xx ) ) ) )), 27.98/4.38 inference('simplify_rw_rule', [status(thm)], [exu])). 27.98/4.38 thf('118', plain, 27.98/4.38 (( exu ) = 27.98/4.38 ( ^[V_1:( $i > $o )]: 27.98/4.38 ( ?[X4:$i]: 27.98/4.38 ( ( ![X6:$i]: ( ( V_1 @ X6 ) => ( ( X4 ) = ( X6 ) ) ) ) & 27.98/4.38 ( V_1 @ X4 ) ) ) )), 27.98/4.38 define([status(thm)])). 27.98/4.38 thf(binintersectER, conjecture, 27.98/4.38 (( setextAx ) => 27.98/4.38 ( ( emptysetAx ) => 27.98/4.38 ( ( setadjoinAx ) => 27.98/4.38 ( ( powersetAx ) => 27.98/4.38 ( ( setunionAx ) => 27.98/4.38 ( ( omega0Ax ) => 27.98/4.38 ( ( omegaSAx ) => 27.98/4.38 ( ( omegaIndAx ) => 27.98/4.38 ( ( replAx ) => 27.98/4.38 ( ( foundationAx ) => 27.98/4.38 ( ( wellorderingAx ) => 27.98/4.38 ( ( descrp ) => 27.98/4.38 ( ( dsetconstrI ) => 27.98/4.38 ( ( dsetconstrEL ) => 27.98/4.38 ( ( dsetconstrER ) => 27.98/4.38 ( ( exuE1 ) => 27.98/4.38 ( ( prop2setE ) => 27.98/4.38 ( ( emptysetE ) => 27.98/4.38 ( ( emptysetimpfalse ) => 27.98/4.38 ( ( notinemptyset ) => 27.98/4.38 ( ( exuE3e ) => 27.98/4.38 ( ( setext ) => 27.98/4.38 ( ( emptyI ) => 27.98/4.38 ( ( noeltsimpempty ) => 27.98/4.38 ( ( setbeta ) => 27.98/4.38 ( ( nonemptyE1 ) => 27.98/4.38 ( ( nonemptyI ) => 27.98/4.38 ( ( nonemptyI1 ) => 27.98/4.38 ( ( setadjoinIL ) => 27.98/4.38 ( ( emptyinunitempty ) => 27.98/4.38 ( ( setadjoinIR ) => 27.98/4.38 ( ( setadjoinE ) => 27.98/4.38 ( ( 27.98/4.38 setadjoinOr ) => 27.98/4.38 ( 27.98/4.38 ( 27.98/4.38 setoftrueEq ) => 27.98/4.38 ( 27.98/4.38 ( 27.98/4.38 powersetI ) => 27.98/4.38 ( 27.98/4.38 ( 27.98/4.38 emptyinPowerset ) => 27.98/4.38 ( 27.98/4.38 ( 27.98/4.38 emptyInPowerset ) => 27.98/4.38 ( 27.98/4.38 ( 27.98/4.38 powersetE ) => 27.98/4.38 ( 27.98/4.38 ( 27.98/4.38 setunionI ) => 27.98/4.38 ( 27.98/4.38 ( 27.98/4.38 setunionE ) => 27.98/4.38 ( 27.98/4.38 ( 27.98/4.38 subPowSU ) => 27.98/4.38 ( 27.98/4.38 ( 27.98/4.38 exuE2 ) => 27.98/4.38 ( 27.98/4.38 ( 27.98/4.38 nonemptyImpWitness ) => 27.98/4.38 ( 27.98/4.38 ( 27.98/4.38 uniqinunit ) => 27.98/4.38 ( 27.98/4.38 ( 27.98/4.38 notinsingleton ) => 27.98/4.38 ( 27.98/4.38 ( 27.98/4.38 eqinunit ) => 27.98/4.38 ( 27.98/4.38 ( 27.98/4.38 singletonsswitch ) => 27.98/4.38 ( 27.98/4.38 ( 27.98/4.38 upairsetE ) => 27.98/4.38 ( 27.98/4.38 ( 27.98/4.38 upairsetIL ) => 27.98/4.38 ( 27.98/4.38 ( 27.98/4.38 upairsetIR ) => 27.98/4.38 ( 27.98/4.38 ( 27.98/4.39 emptyE1 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 vacuousDall ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 quantDeMorgan1 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 quantDeMorgan2 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 quantDeMorgan3 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 quantDeMorgan4 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 prop2setI ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 prop2set2propI ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 notdexE ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 notdallE ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 exuI1 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 exuI3 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 exuI2 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 inCongP ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in__Cong ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 exuE3u ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 exu__Cong ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 emptyset__Cong ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 setadjoin__Cong ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 powerset__Cong ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 setunion__Cong ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 omega__Cong ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 exuEu ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 descr__Cong ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 dsetconstr__Cong ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 subsetI1 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 eqimpsubset2 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 eqimpsubset1 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 subsetI2 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 emptysetsubset ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 subsetE ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 subsetE2 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 notsubsetI ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 notequalI1 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 notequalI2 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 subsetRefl ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 subsetTrans ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 setadjoinSub ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 setadjoinSub2 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 subset2powerset ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 setextsub ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 subsetemptysetimpeq ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 powersetI1 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 powersetE1 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 inPowerset ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 powersetsubset ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 sepInPowerset ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 sepSubset ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 binunionIL ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 upairset2IR ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 binunionIR ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 binunionEcases ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 binunionE ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 binunionLsub ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 binunionRsub ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 binintersectI ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 binintersectSubset5 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 binintersectEL ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 binintersectLsub ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 binintersectSubset2 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 binintersectSubset3 ) => 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 A:$i,B:$i, 27.98/4.39 Xx:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 Xx @ 27.98/4.39 ( 27.98/4.39 binintersect 27.98/4.39 @ 27.98/4.39 A @ B ) ) => 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 Xx @ B ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 27.98/4.39 thf(zf_stmt_0, conjecture, 27.98/4.39 (( ![X4:$i,X6:$i]: 27.98/4.39 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 27.98/4.39 ( ( X4 ) = ( X6 ) ) ) ) => 27.98/4.39 ( ( ![X10:$i]: ( ~( in @ X10 @ emptyset ) ) ) => 27.98/4.39 ( ( ![X12:$i,X14:$i,X16:$i]: 27.98/4.39 ( ( in @ X16 @ ( setadjoin @ X12 @ X14 ) ) <=> 27.98/4.39 ( ( in @ X16 @ X14 ) | ( ( X16 ) = ( X12 ) ) ) ) ) => 27.98/4.39 ( ( ![X18:$i,X20:$i]: 27.98/4.39 ( ( in @ X20 @ ( powerset @ X18 ) ) <=> 27.98/4.39 ( ![X22:$i]: ( ( in @ X22 @ X20 ) => ( in @ X22 @ X18 ) ) ) ) ) => 27.98/4.39 ( ( ![X24:$i,X26:$i]: 27.98/4.39 ( ( in @ X26 @ ( setunion @ X24 ) ) <=> 27.98/4.39 ( ?[X28:$i]: ( ( in @ X26 @ X28 ) & ( in @ X28 @ X24 ) ) ) ) ) => 27.98/4.39 ( ( in @ emptyset @ omega ) => 27.98/4.39 ( ( ![X30:$i]: 27.98/4.39 ( ( in @ X30 @ omega ) => 27.98/4.39 ( in @ ( setadjoin @ X30 @ X30 ) @ omega ) ) ) => 27.98/4.39 ( ( ![X32:$i]: 27.98/4.39 ( ( ( ![X34:$i]: 27.98/4.39 ( ( ( in @ X34 @ X32 ) & ( in @ X34 @ omega ) ) => 27.98/4.39 ( in @ ( setadjoin @ X34 @ X34 ) @ X32 ) ) ) & 27.98/4.39 ( in @ emptyset @ X32 ) ) => 27.98/4.39 ( ![X36:$i]: 27.98/4.39 ( ( in @ X36 @ omega ) => ( in @ X36 @ X32 ) ) ) ) ) => 27.98/4.39 ( ( ![X38:( $i > $i > $o ),X40:$i]: 27.98/4.39 ( ( ![X42:$i]: 27.98/4.39 ( ( in @ X42 @ X40 ) => 27.98/4.39 ( ?[X44:$i]: 27.98/4.39 ( ( X38 @ X42 @ X44 ) & 27.98/4.39 ( ![X46:$i]: 27.98/4.39 ( ( X38 @ X42 @ X46 ) => 27.98/4.39 ( ( X44 ) = ( X46 ) ) ) ) ) ) ) ) => 27.98/4.39 ( ?[X48:$i]: 27.98/4.39 ( ![X50:$i]: 27.98/4.39 ( ( in @ X50 @ X48 ) <=> 27.98/4.39 ( ?[X52:$i]: 27.98/4.39 ( ( in @ X52 @ X40 ) & ( X38 @ X52 @ X50 ) ) ) ) ) ) ) ) => 27.98/4.39 ( ( ![X54:$i]: 27.98/4.39 ( ( ?[X56:$i]: ( in @ X56 @ X54 ) ) => 27.98/4.39 ( ?[X58:$i]: 27.98/4.39 ( ( in @ X58 @ X54 ) & 27.98/4.39 ( ~( ?[X60:$i]: 27.98/4.39 ( ( in @ X60 @ X58 ) & ( in @ X60 @ X54 ) ) ) ) ) ) ) ) => 27.98/4.39 ( ( ![X62:$i]: 27.98/4.39 ( ?[X64:$i]: 27.98/4.39 ( ( ![X96:$i]: 27.98/4.39 ( ( in @ X96 @ X64 ) => 27.98/4.39 ( ![X98:$i]: 27.98/4.39 ( ( in @ X98 @ X96 ) => ( in @ X98 @ X62 ) ) ) ) ) & 27.98/4.39 ( ![X90:$i,X92:$i]: 27.98/4.39 ( ( ( in @ X92 @ X62 ) & ( in @ X90 @ X62 ) ) => 27.98/4.39 ( ( ![X94:$i]: 27.98/4.39 ( ( in @ X94 @ X64 ) => 27.98/4.39 ( ( in @ X90 @ X94 ) <=> 27.98/4.39 ( in @ X92 @ X94 ) ) ) ) => 27.98/4.39 ( ( X90 ) = ( X92 ) ) ) ) ) & 27.98/4.39 ( ![X82:$i,X84:$i]: 27.98/4.39 ( ( ( in @ X84 @ X64 ) & ( in @ X82 @ X64 ) ) => 27.98/4.39 ( ( ![X88:$i]: 27.98/4.39 ( ( in @ X88 @ X84 ) => 27.98/4.39 ( in @ X88 @ X82 ) ) ) | 27.98/4.39 ( ![X86:$i]: 27.98/4.39 ( ( in @ X86 @ X82 ) => 27.98/4.39 ( in @ X86 @ X84 ) ) ) ) ) ) & 27.98/4.39 ( ![X66:$i]: 27.98/4.39 ( ( ( ?[X70:$i]: ( in @ X70 @ X66 ) ) & 27.98/4.39 ( ![X68:$i]: 27.98/4.39 ( ( in @ X68 @ X66 ) => 27.98/4.39 ( in @ X68 @ X62 ) ) ) ) => 27.98/4.39 ( ?[X72:$i,X74:$i]: 27.98/4.39 ( ( in @ X72 @ X64 ) & 27.98/4.39 ( in @ X74 @ X66 ) & 27.98/4.39 ( ~( ?[X80:$i]: 27.98/4.39 ( ( in @ X80 @ X72 ) & 27.98/4.39 ( in @ X80 @ X66 ) ) ) ) & 27.98/4.39 ( ![X76:$i]: 27.98/4.39 ( ( in @ X76 @ X64 ) => 27.98/4.39 ( ( in @ X74 @ X76 ) | 27.98/4.39 ( ![X78:$i]: 27.98/4.39 ( ( in @ X78 @ X76 ) => 27.98/4.39 ( in @ X78 @ X72 ) ) ) ) ) ) ) ) ) ) ) ) ) => 27.98/4.39 ( ( ![X100:( $i > $o )]: 27.98/4.39 ( ( ?[X102:$i]: 27.98/4.39 ( ( X100 @ X102 ) & 27.98/4.39 ( ![X104:$i]: 27.98/4.39 ( ( X100 @ X104 ) => 27.98/4.39 ( ( X102 ) = ( X104 ) ) ) ) ) ) => 27.98/4.39 ( X100 @ 27.98/4.39 ( descr @ ( ^[V_1:$i]: ( X100 @ V_1 ) ) ) ) ) ) => 27.98/4.39 ( ( ![X106:$i,X108:( $i > $o ),X110:$i]: 27.98/4.39 ( ( in @ X110 @ X106 ) => 27.98/4.39 ( ( X108 @ X110 ) => 27.98/4.39 ( in @ 27.98/4.39 X110 @ 27.98/4.39 ( dsetconstr @ 27.98/4.39 X106 @ ( ^[V_2:$i]: ( X108 @ V_2 ) ) ) ) ) ) ) => 27.98/4.39 ( ( ![X112:$i,X114:( $i > $o ),X116:$i]: 27.98/4.39 ( ( in @ 27.98/4.39 X116 @ 27.98/4.39 ( dsetconstr @ 27.98/4.39 X112 @ ( ^[V_3:$i]: ( X114 @ V_3 ) ) ) ) => 27.98/4.39 ( in @ X116 @ X112 ) ) ) => 27.98/4.39 ( ( ![X118:$i,X120:( $i > $o ),X122:$i]: 27.98/4.39 ( ( in @ 27.98/4.39 X122 @ 27.98/4.39 ( dsetconstr @ 27.98/4.39 X118 @ ( ^[V_4:$i]: ( X120 @ V_4 ) ) ) ) => 27.98/4.39 ( X120 @ X122 ) ) ) => 27.98/4.39 ( ( ![X124:( $i > $o )]: 27.98/4.39 ( ( ?[X126:$i]: 27.98/4.39 ( ( X124 @ X126 ) & 27.98/4.39 ( ![X128:$i]: 27.98/4.39 ( ( X124 @ X128 ) => 27.98/4.39 ( ( X126 ) = ( X128 ) ) ) ) ) ) => 27.98/4.39 ( ?[X130:$i]: 27.98/4.39 ( ( X124 @ X130 ) & 27.98/4.39 ( ![X132:$i]: 27.98/4.39 ( ( X124 @ X132 ) => 27.98/4.39 ( ( X130 ) = ( X132 ) ) ) ) ) ) ) ) => 27.98/4.39 ( ( ![X134:$o,X136:$i]: 27.98/4.39 ( ( in @ X136 @ ( prop2set @ X134 ) ) => 27.98/4.39 ( X134 ) ) ) => 27.98/4.39 ( ( ![X138:$i]: 27.98/4.39 ( ( in @ X138 @ emptyset ) => 27.98/4.39 ( ![X140:$o]: ( X140 ) ) ) ) => 27.98/4.39 ( ( ![X142:$i]: 27.98/4.39 ( ~( in @ X142 @ emptyset ) ) ) => 27.98/4.39 ( ( ![X144:$i]: 27.98/4.39 ( ~( in @ X144 @ emptyset ) ) ) => 27.98/4.39 ( ( ![X146:( $i > $o )]: 27.98/4.39 ( ( ?[X148:$i]: 27.98/4.39 ( ( X146 @ X148 ) & 27.98/4.39 ( ![X150:$i]: 27.98/4.39 ( ( X146 @ X150 ) => 27.98/4.39 ( ( X148 ) = ( X150 ) ) ) ) ) ) => 27.98/4.39 ( ?[X152:$i]: ( X146 @ X152 ) ) ) ) => 27.98/4.39 ( ( ![X154:$i,X156:$i]: 27.98/4.39 ( ( ![X158:$i]: 27.98/4.39 ( ( in @ X158 @ X154 ) => 27.98/4.39 ( in @ X158 @ X156 ) ) ) => 27.98/4.39 ( ( ![X160:$i]: 27.98/4.39 ( ( in @ X160 @ X156 ) => 27.98/4.39 ( in @ X160 @ X154 ) ) ) => 27.98/4.39 ( ( X154 ) = ( X156 ) ) ) ) ) => 27.98/4.39 ( ( ![X162:$i]: 27.98/4.39 ( ( ![X164:$i]: 27.98/4.39 ( ~( in @ X164 @ X162 ) ) ) => 27.98/4.39 ( ( X162 ) = ( emptyset ) ) ) ) => 27.98/4.39 ( ( ![X166:$i]: 27.98/4.39 ( ( ![X168:$i]: 27.98/4.39 ( ~( in @ X168 @ X166 ) ) ) => 27.98/4.39 ( ( X166 ) = 27.98/4.39 ( emptyset ) ) ) ) => 27.98/4.39 ( ( ![X170:$i, 27.98/4.39 X172:( $i > $o ), 27.98/4.39 X174:$i]: 27.98/4.39 ( ( in @ X174 @ X170 ) => 27.98/4.39 ( ( in @ 27.98/4.39 X174 @ 27.98/4.39 ( dsetconstr @ 27.98/4.39 X170 @ 27.98/4.39 ( ^[V_5:$i]: 27.98/4.39 ( X172 @ V_5 ) ) ) ) <=> 27.98/4.39 ( X172 @ X174 ) ) ) ) => 27.98/4.39 ( ( ![X176:$i]: 27.98/4.39 ( ( ( X176 ) != 27.98/4.39 ( emptyset ) ) => 27.98/4.39 ( ?[X178:$i]: 27.98/4.39 ( in @ X178 @ X176 ) ) ) ) => 27.98/4.39 ( ( ![X180:$i, 27.98/4.39 X182:( $i > $o ), 27.98/4.39 X184:$i]: 27.98/4.39 ( ( in @ X184 @ X180 ) => 27.98/4.39 ( ( X182 @ X184 ) => 27.98/4.39 ( ( dsetconstr @ 27.98/4.39 X180 @ 27.98/4.39 ( ^[ 27.98/4.39 V_6:$i]: 27.98/4.39 ( 27.98/4.39 X182 @ V_6 ) ) ) != 27.98/4.39 ( emptyset ) ) ) ) ) => 27.98/4.39 ( ( ![X186:$i]: 27.98/4.39 ( ( ?[X188:$i]: 27.98/4.39 ( in @ 27.98/4.39 X188 @ X186 ) ) => 27.98/4.39 ( ( X186 ) != 27.98/4.39 ( emptyset ) ) ) ) => 27.98/4.39 ( ( ![X190:$i, 27.98/4.39 X192:$i]: 27.98/4.39 ( in @ 27.98/4.39 X190 @ 27.98/4.39 ( setadjoin @ 27.98/4.39 X190 @ X192 ) ) ) => 27.98/4.39 ( ( in @ 27.98/4.39 emptyset @ 27.98/4.39 ( setadjoin @ 27.98/4.39 emptyset @ 27.98/4.39 emptyset ) ) => 27.98/4.39 ( ( ![X194:$i, 27.98/4.39 X196:$i, 27.98/4.39 X198:$i]: 27.98/4.39 ( ( 27.98/4.39 in @ 27.98/4.39 X198 @ 27.98/4.39 X196 ) => 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X198 @ 27.98/4.39 ( 27.98/4.39 setadjoin 27.98/4.39 @ 27.98/4.39 X194 @ 27.98/4.39 X196 ) ) ) ) => 27.98/4.39 ( ( ![ 27.98/4.39 X200:$i, 27.98/4.39 X202:$i, 27.98/4.39 X204:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X204 @ 27.98/4.39 ( 27.98/4.39 setadjoin 27.98/4.39 @ 27.98/4.39 X200 @ 27.98/4.39 X202 ) ) => 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X206:$o]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X204 ) = 27.98/4.39 ( 27.98/4.39 X200 ) ) => 27.98/4.39 ( 27.98/4.39 X206 ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X204 @ 27.98/4.39 X202 ) => 27.98/4.39 ( 27.98/4.39 X206 ) ) => 27.98/4.39 ( 27.98/4.39 X206 ) ) ) ) ) ) => 27.98/4.39 ( ( 27.98/4.39 ![ 27.98/4.39 X208:$i, 27.98/4.39 X210:$i, 27.98/4.39 X212:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X212 @ 27.98/4.39 ( 27.98/4.39 setadjoin 27.98/4.39 @ 27.98/4.39 X208 @ 27.98/4.39 X210 ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X212 @ 27.98/4.39 X210 ) | 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X212 ) = 27.98/4.39 ( 27.98/4.39 X208 ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X214:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 dsetconstr 27.98/4.39 @ 27.98/4.39 X214 @ 27.98/4.39 ( 27.98/4.39 ^[ 27.98/4.39 V_7:$i]: 27.98/4.39 ( 27.98/4.39 $true ) ) ) = 27.98/4.39 ( 27.98/4.39 X214 ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X216:$i, 27.98/4.39 X218:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X220:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X220 @ 27.98/4.39 X218 ) => 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X220 @ 27.98/4.39 X216 ) ) ) => 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X218 @ 27.98/4.39 ( 27.98/4.39 powerset @ 27.98/4.39 X216 ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X222:$i]: 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 emptyset @ 27.98/4.39 ( 27.98/4.39 powerset @ 27.98/4.39 X222 ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X224:$i]: 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 emptyset @ 27.98/4.39 ( 27.98/4.39 powerset @ 27.98/4.39 X224 ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X226:$i, 27.98/4.39 X228:$i, 27.98/4.39 X230:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X228 @ 27.98/4.39 ( 27.98/4.39 powerset @ 27.98/4.39 X226 ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X230 @ 27.98/4.39 X228 ) => 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X230 @ 27.98/4.39 X226 ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X232:$i, 27.98/4.39 X234:$i, 27.98/4.39 X236:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X234 @ 27.98/4.39 X236 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X236 @ 27.98/4.39 X232 ) => 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X234 @ 27.98/4.39 ( 27.98/4.39 setunion @ 27.98/4.39 X232 ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X238:$i, 27.98/4.39 X240:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X240 @ 27.98/4.39 ( 27.98/4.39 setunion @ 27.98/4.39 X238 ) ) => 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X242:$o]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X244:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X240 @ 27.98/4.39 X244 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X244 @ 27.98/4.39 X238 ) => 27.98/4.39 ( 27.98/4.39 X242 ) ) ) ) => 27.98/4.39 ( 27.98/4.39 X242 ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X246:$i, 27.98/4.39 X248:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X248 @ 27.98/4.39 X246 ) => 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X248 @ 27.98/4.39 ( 27.98/4.39 powerset @ 27.98/4.39 ( 27.98/4.39 setunion @ 27.98/4.39 X246 ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X250:( 27.98/4.39 $i > $o )]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ?[ 27.98/4.39 X252:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X250 @ 27.98/4.39 X252 ) & 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X254:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X250 @ 27.98/4.39 X254 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X252 ) = 27.98/4.39 ( 27.98/4.39 X254 ) ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ?[ 27.98/4.39 X256:$i]: 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X258:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X250 @ 27.98/4.39 X258 ) <=> 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X258 ) = 27.98/4.39 ( 27.98/4.39 X256 ) ) ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X260:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X260 ) != 27.98/4.39 ( 27.98/4.39 emptyset ) ) => 27.98/4.39 ( 27.98/4.39 ?[ 27.98/4.39 X262:$i]: 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X262 @ 27.98/4.39 X260 ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X264:$i, 27.98/4.39 X266:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X264 @ 27.98/4.39 ( 27.98/4.39 setadjoin 27.98/4.39 @ 27.98/4.39 X266 @ 27.98/4.39 emptyset ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X264 ) = 27.98/4.39 ( 27.98/4.39 X266 ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X268:$i, 27.98/4.39 X270:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X268 ) != 27.98/4.39 ( 27.98/4.39 X270 ) ) => 27.98/4.39 ( 27.98/4.39 ~( 27.98/4.39 in @ 27.98/4.39 X270 @ 27.98/4.39 ( 27.98/4.39 setadjoin 27.98/4.39 @ 27.98/4.39 X268 @ 27.98/4.39 emptyset ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X272:$i, 27.98/4.39 X274:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X272 ) = 27.98/4.39 ( 27.98/4.39 X274 ) ) => 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X272 @ 27.98/4.39 ( 27.98/4.39 setadjoin 27.98/4.39 @ 27.98/4.39 X274 @ 27.98/4.39 emptyset ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X276:$i, 27.98/4.39 X278:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X276 @ 27.98/4.39 ( 27.98/4.39 setadjoin 27.98/4.39 @ 27.98/4.39 X278 @ 27.98/4.39 emptyset ) ) => 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X278 @ 27.98/4.39 ( 27.98/4.39 setadjoin 27.98/4.39 @ 27.98/4.39 X276 @ 27.98/4.39 emptyset ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X280:$i, 27.98/4.39 X282:$i, 27.98/4.39 X284:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X284 @ 27.98/4.39 ( 27.98/4.39 setadjoin 27.98/4.39 @ 27.98/4.39 X280 @ 27.98/4.39 ( 27.98/4.39 setadjoin 27.98/4.39 @ 27.98/4.39 X282 @ 27.98/4.39 emptyset ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X284 ) = 27.98/4.39 ( 27.98/4.39 X282 ) ) | 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X284 ) = 27.98/4.39 ( 27.98/4.39 X280 ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X286:$i, 27.98/4.39 X288:$i]: 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X286 @ 27.98/4.39 ( 27.98/4.39 setadjoin 27.98/4.39 @ 27.98/4.39 X286 @ 27.98/4.39 ( 27.98/4.39 setadjoin 27.98/4.39 @ 27.98/4.39 X288 @ 27.98/4.39 emptyset ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X290:$i, 27.98/4.39 X292:$i]: 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X292 @ 27.98/4.39 ( 27.98/4.39 setadjoin 27.98/4.39 @ 27.98/4.39 X290 @ 27.98/4.39 ( 27.98/4.39 setadjoin 27.98/4.39 @ 27.98/4.39 X292 @ 27.98/4.39 emptyset ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X294:$i, 27.98/4.39 X296:( 27.98/4.39 $i > $o )]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ?[ 27.98/4.39 X298:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X298 @ 27.98/4.39 X294 ) & 27.98/4.39 ( 27.98/4.39 X296 @ 27.98/4.39 X298 ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 dsetconstr 27.98/4.39 @ 27.98/4.39 X294 @ 27.98/4.39 ( 27.98/4.39 ^[ 27.98/4.39 V_8:$i]: 27.98/4.39 ( 27.98/4.39 X296 @ V_8 ) ) ) != 27.98/4.39 ( 27.98/4.39 emptyset ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X300:( 27.98/4.39 $i > $o ), 27.98/4.39 X302:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X302 @ 27.98/4.39 emptyset ) => 27.98/4.39 ( 27.98/4.39 X300 @ 27.98/4.39 X302 ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X304:$i, 27.98/4.39 X306:( 27.98/4.39 $i > $o )]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ~( 27.98/4.39 ![ 27.98/4.39 X308:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X308 @ 27.98/4.39 X304 ) => 27.98/4.39 ( 27.98/4.39 X306 @ 27.98/4.39 X308 ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ?[ 27.98/4.39 X310:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X310 @ 27.98/4.39 X304 ) & 27.98/4.39 ( 27.98/4.39 ~( 27.98/4.39 X306 @ 27.98/4.39 X310 ) ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X312:$i, 27.98/4.39 X314:( 27.98/4.39 $i > $o )]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X316:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X316 @ 27.98/4.39 X312 ) => 27.98/4.39 ( 27.98/4.39 ~( 27.98/4.39 X314 @ 27.98/4.39 X316 ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ~( 27.98/4.39 ?[ 27.98/4.39 X318:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X318 @ 27.98/4.39 X312 ) & 27.98/4.39 ( 27.98/4.39 X314 @ 27.98/4.39 X318 ) ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X320:$i, 27.98/4.39 X322:( 27.98/4.39 $i > $o )]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ~( 27.98/4.39 ?[ 27.98/4.39 X324:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X324 @ 27.98/4.39 X320 ) & 27.98/4.39 ( 27.98/4.39 X322 @ 27.98/4.39 X324 ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X326:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X326 @ 27.98/4.39 X320 ) => 27.98/4.39 ( 27.98/4.39 ~( 27.98/4.39 X322 @ 27.98/4.39 X326 ) ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X328:$i, 27.98/4.39 X330:( 27.98/4.39 $i > $o )]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ?[ 27.98/4.39 X332:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X332 @ 27.98/4.39 X328 ) & 27.98/4.39 ( 27.98/4.39 ~( 27.98/4.39 X330 @ 27.98/4.39 X332 ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ~( 27.98/4.39 ![ 27.98/4.39 X334:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X334 @ 27.98/4.39 X328 ) => 27.98/4.39 ( 27.98/4.39 X330 @ 27.98/4.39 X334 ) ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X336:$o]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X336 ) => 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 emptyset @ 27.98/4.39 ( 27.98/4.39 prop2set @ 27.98/4.39 X336 ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X338:$o]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X338 ) => 27.98/4.39 ( 27.98/4.39 set2prop @ 27.98/4.39 ( 27.98/4.39 prop2set @ 27.98/4.39 X338 ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X340:$i, 27.98/4.39 X342:( 27.98/4.39 $i > $o )]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ~( 27.98/4.39 ?[ 27.98/4.39 X344:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X344 @ 27.98/4.39 X340 ) & 27.98/4.39 ( 27.98/4.39 X342 @ 27.98/4.39 X344 ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X346:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X346 @ 27.98/4.39 X340 ) => 27.98/4.39 ( 27.98/4.39 ~( 27.98/4.39 X342 @ 27.98/4.39 X346 ) ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X348:$i, 27.98/4.39 X350:( 27.98/4.39 $i > $o )]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ~( 27.98/4.39 ![ 27.98/4.39 X352:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X352 @ 27.98/4.39 X348 ) => 27.98/4.39 ( 27.98/4.39 X350 @ 27.98/4.39 X352 ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ?[ 27.98/4.39 X354:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X354 @ 27.98/4.39 X348 ) & 27.98/4.39 ( 27.98/4.39 ~( 27.98/4.39 X350 @ 27.98/4.39 X354 ) ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X356:( 27.98/4.39 $i > $o )]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ?[ 27.98/4.39 X358:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X356 @ 27.98/4.39 X358 ) & 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X360:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X356 @ 27.98/4.39 X360 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X358 ) = 27.98/4.39 ( 27.98/4.39 X360 ) ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ?[ 27.98/4.39 X362:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X356 @ 27.98/4.39 X362 ) & 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X364:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X356 @ 27.98/4.39 X364 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X362 ) = 27.98/4.39 ( 27.98/4.39 X364 ) ) ) ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X366:( 27.98/4.39 $i > $o )]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ?[ 27.98/4.39 X368:$i]: 27.98/4.39 ( 27.98/4.39 X366 @ 27.98/4.39 X368 ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X370:$i, 27.98/4.39 X372:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X366 @ 27.98/4.39 X370 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X366 @ 27.98/4.39 X372 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X370 ) = 27.98/4.39 ( 27.98/4.39 X372 ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ?[ 27.98/4.39 X374:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X366 @ 27.98/4.39 X374 ) & 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X376:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X366 @ 27.98/4.39 X376 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X374 ) = 27.98/4.39 ( 27.98/4.39 X376 ) ) ) ) ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X378:( 27.98/4.39 $i > $o )]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ?[ 27.98/4.39 X380:$i]: 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X382:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X378 @ 27.98/4.39 X382 ) <=> 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X382 ) = 27.98/4.39 ( 27.98/4.39 X380 ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ?[ 27.98/4.39 X384:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X378 @ 27.98/4.39 X384 ) & 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X386:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X378 @ 27.98/4.39 X386 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X384 ) = 27.98/4.39 ( 27.98/4.39 X386 ) ) ) ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X388:$i, 27.98/4.39 X390:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X388 ) = 27.98/4.39 ( 27.98/4.39 X390 ) ) => 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X392:$i, 27.98/4.39 X394:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X392 ) = 27.98/4.39 ( 27.98/4.39 X394 ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X392 @ 27.98/4.39 X388 ) => 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X394 @ 27.98/4.39 X390 ) ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X396:$i, 27.98/4.39 X398:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X396 ) = 27.98/4.39 ( 27.98/4.39 X398 ) ) => 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X400:$i, 27.98/4.39 X402:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X400 ) = 27.98/4.39 ( 27.98/4.39 X402 ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X400 @ 27.98/4.39 X396 ) <=> 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X402 @ 27.98/4.39 X398 ) ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X404:( 27.98/4.39 $i > $o )]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ?[ 27.98/4.39 X406:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X404 @ 27.98/4.39 X406 ) & 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X408:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X404 @ 27.98/4.39 X408 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X406 ) = 27.98/4.39 ( 27.98/4.39 X408 ) ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X410:$i, 27.98/4.39 X412:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X404 @ 27.98/4.39 X410 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X404 @ 27.98/4.39 X412 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X410 ) = 27.98/4.39 ( 27.98/4.39 X412 ) ) ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X414:( 27.98/4.39 $i > $o ), 27.98/4.39 X416:( 27.98/4.39 $i > $o )]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X418:$i, 27.98/4.39 X420:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X418 ) = 27.98/4.39 ( 27.98/4.39 X420 ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X414 @ 27.98/4.39 X418 ) <=> 27.98/4.39 ( 27.98/4.39 X416 @ 27.98/4.39 X420 ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ?[ 27.98/4.39 X422:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X414 @ 27.98/4.39 X422 ) & 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X424:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X414 @ 27.98/4.39 X424 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X422 ) = 27.98/4.39 ( 27.98/4.39 X424 ) ) ) ) ) ) <=> 27.98/4.39 ( 27.98/4.39 ?[ 27.98/4.39 X426:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X416 @ 27.98/4.39 X426 ) & 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X428:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X416 @ 27.98/4.39 X428 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X426 ) = 27.98/4.39 ( 27.98/4.39 X428 ) ) ) ) ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 emptyset ) = 27.98/4.39 ( 27.98/4.39 emptyset ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X430:$i, 27.98/4.39 X432:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X430 ) = 27.98/4.39 ( 27.98/4.39 X432 ) ) => 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X434:$i, 27.98/4.39 X436:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X434 ) = 27.98/4.39 ( 27.98/4.39 X436 ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 setadjoin 27.98/4.39 @ 27.98/4.39 X430 @ 27.98/4.39 X434 ) = 27.98/4.39 ( 27.98/4.39 setadjoin 27.98/4.39 @ 27.98/4.39 X432 @ 27.98/4.39 X436 ) ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X438:$i, 27.98/4.39 X440:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X438 ) = 27.98/4.39 ( 27.98/4.39 X440 ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 powerset @ 27.98/4.39 X438 ) = 27.98/4.39 ( 27.98/4.39 powerset @ 27.98/4.39 X440 ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X442:$i, 27.98/4.39 X444:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X442 ) = 27.98/4.39 ( 27.98/4.39 X444 ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 setunion @ 27.98/4.39 X442 ) = 27.98/4.39 ( 27.98/4.39 setunion @ 27.98/4.39 X444 ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 omega ) = 27.98/4.39 ( 27.98/4.39 omega ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X446:( 27.98/4.39 $i > $o )]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ?[ 27.98/4.39 X448:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X446 @ 27.98/4.39 X448 ) & 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X450:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X446 @ 27.98/4.39 X450 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X448 ) = 27.98/4.39 ( 27.98/4.39 X450 ) ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X452:$i, 27.98/4.39 X454:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X446 @ 27.98/4.39 X452 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X446 @ 27.98/4.39 X454 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X452 ) = 27.98/4.39 ( 27.98/4.39 X454 ) ) ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X456:( 27.98/4.39 $i > $o ), 27.98/4.39 X458:( 27.98/4.39 $i > $o )]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X460:$i, 27.98/4.39 X462:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X460 ) = 27.98/4.39 ( 27.98/4.39 X462 ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X456 @ 27.98/4.39 X460 ) <=> 27.98/4.39 ( 27.98/4.39 X458 @ 27.98/4.39 X462 ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ?[ 27.98/4.39 X464:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X456 @ 27.98/4.39 X464 ) & 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X466:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X456 @ 27.98/4.39 X466 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X464 ) = 27.98/4.39 ( 27.98/4.39 X466 ) ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ?[ 27.98/4.39 X468:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X458 @ 27.98/4.39 X468 ) & 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X470:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X458 @ 27.98/4.39 X470 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X468 ) = 27.98/4.39 ( 27.98/4.39 X470 ) ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 descr @ 27.98/4.39 ( 27.98/4.39 ^[ 27.98/4.39 V_9:$i]: 27.98/4.39 ( 27.98/4.39 X456 @ V_9 ) ) ) = 27.98/4.39 ( 27.98/4.39 descr @ 27.98/4.39 ( 27.98/4.39 ^[ 27.98/4.39 V_10:$i]: 27.98/4.39 ( 27.98/4.39 X458 @ 27.98/4.39 V_10 ) ) ) ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X472:$i, 27.98/4.39 X474:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X472 ) = 27.98/4.39 ( 27.98/4.39 X474 ) ) => 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X476:( 27.98/4.39 $i > $o ), 27.98/4.39 X478:( 27.98/4.39 $i > $o )]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X480:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X480 @ 27.98/4.39 X472 ) => 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X482:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X482 @ 27.98/4.39 X474 ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X480 ) = 27.98/4.39 ( 27.98/4.39 X482 ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X476 @ 27.98/4.39 X480 ) <=> 27.98/4.39 ( 27.98/4.39 X478 @ 27.98/4.39 X482 ) ) ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 dsetconstr 27.98/4.39 @ 27.98/4.39 X472 @ 27.98/4.39 ( 27.98/4.39 ^[ 27.98/4.39 V_11:$i]: 27.98/4.39 ( 27.98/4.39 X476 @ 27.98/4.39 V_11 ) ) ) = 27.98/4.39 ( 27.98/4.39 dsetconstr 27.98/4.39 @ 27.98/4.39 X474 @ 27.98/4.39 ( 27.98/4.39 ^[ 27.98/4.39 V_12:$i]: 27.98/4.39 ( 27.98/4.39 X478 @ 27.98/4.39 V_12 ) ) ) ) ) ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X484:$i, 27.98/4.39 X486:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X488:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X488 @ 27.98/4.39 X484 ) => 27.98/4.39 ( 27.98/4.39 in @ 27.98/4.39 X488 @ 27.98/4.39 X486 ) ) ) => 27.98/4.39 ( 27.98/4.39 subset @ 27.98/4.39 X484 @ 27.98/4.39 X486 ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X490:$i, 27.98/4.39 X492:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X490 ) = 27.98/4.39 ( 27.98/4.39 X492 ) ) => 27.98/4.39 ( 27.98/4.39 subset @ 27.98/4.39 X492 @ 27.98/4.39 X490 ) ) ) => 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ![ 27.98/4.39 X494:$i, 27.98/4.39 X496:$i]: 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 ( 27.98/4.39 X494 ) = 27.98/4.39 ( 27.98/4.40 X496 ) ) => 27.98/4.40 ( 27.98/4.40 subset @ 27.98/4.40 X494 @ 27.98/4.40 X496 ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X498:$i, 27.98/4.40 X500:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X502:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X502 @ 27.98/4.40 X498 ) => 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X502 @ 27.98/4.40 X500 ) ) ) => 27.98/4.40 ( 27.98/4.40 subset @ 27.98/4.40 X498 @ 27.98/4.40 X500 ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X504:$i]: 27.98/4.40 ( 27.98/4.40 subset @ 27.98/4.40 emptyset @ 27.98/4.40 X504 ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X506:$i, 27.98/4.40 X508:$i, 27.98/4.40 X510:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 subset @ 27.98/4.40 X506 @ 27.98/4.40 X508 ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X510 @ 27.98/4.40 X506 ) => 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X510 @ 27.98/4.40 X508 ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X512:$i, 27.98/4.40 X514:$i, 27.98/4.40 X516:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 subset @ 27.98/4.40 X512 @ 27.98/4.40 X514 ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ~( 27.98/4.40 in @ 27.98/4.40 X516 @ 27.98/4.40 X514 ) ) => 27.98/4.40 ( 27.98/4.40 ~( 27.98/4.40 in @ 27.98/4.40 X516 @ 27.98/4.40 X512 ) ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X518:$i, 27.98/4.40 X520:$i, 27.98/4.40 X522:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X522 @ 27.98/4.40 X518 ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ~( 27.98/4.40 in @ 27.98/4.40 X522 @ 27.98/4.40 X520 ) ) => 27.98/4.40 ( 27.98/4.40 ~( 27.98/4.40 subset @ 27.98/4.40 X518 @ 27.98/4.40 X520 ) ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X524:$i, 27.98/4.40 X526:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ~( 27.98/4.40 subset @ 27.98/4.40 X524 @ 27.98/4.40 X526 ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 X524 ) != 27.98/4.40 ( 27.98/4.40 X526 ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X528:$i, 27.98/4.40 X530:$i, 27.98/4.40 X532:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X532 @ 27.98/4.40 X528 ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ~( 27.98/4.40 in @ 27.98/4.40 X532 @ 27.98/4.40 X530 ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 X528 ) != 27.98/4.40 ( 27.98/4.40 X530 ) ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X534:$i]: 27.98/4.40 ( 27.98/4.40 subset @ 27.98/4.40 X534 @ 27.98/4.40 X534 ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X536:$i, 27.98/4.40 X538:$i, 27.98/4.40 X540:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 subset @ 27.98/4.40 X536 @ 27.98/4.40 X538 ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 subset @ 27.98/4.40 X538 @ 27.98/4.40 X540 ) => 27.98/4.40 ( 27.98/4.40 subset @ 27.98/4.40 X536 @ 27.98/4.40 X540 ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X542:$i, 27.98/4.40 X544:$i]: 27.98/4.40 ( 27.98/4.40 subset @ 27.98/4.40 X544 @ 27.98/4.40 ( 27.98/4.40 setadjoin 27.98/4.40 @ 27.98/4.40 X542 @ 27.98/4.40 X544 ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X546:$i, 27.98/4.40 X548:$i, 27.98/4.40 X550:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 subset @ 27.98/4.40 X546 @ 27.98/4.40 X550 ) => 27.98/4.40 ( 27.98/4.40 subset @ 27.98/4.40 X546 @ 27.98/4.40 ( 27.98/4.40 setadjoin 27.98/4.40 @ 27.98/4.40 X548 @ 27.98/4.40 X550 ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X552:$i, 27.98/4.40 X554:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 subset @ 27.98/4.40 X552 @ 27.98/4.40 X554 ) => 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X552 @ 27.98/4.40 ( 27.98/4.40 powerset @ 27.98/4.40 X554 ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X556:$i, 27.98/4.40 X558:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 subset @ 27.98/4.40 X556 @ 27.98/4.40 X558 ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 subset @ 27.98/4.40 X558 @ 27.98/4.40 X556 ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 X556 ) = 27.98/4.40 ( 27.98/4.40 X558 ) ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X560:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 subset @ 27.98/4.40 X560 @ 27.98/4.40 emptyset ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 X560 ) = 27.98/4.40 ( 27.98/4.40 emptyset ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X562:$i, 27.98/4.40 X564:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 subset @ 27.98/4.40 X564 @ 27.98/4.40 X562 ) => 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X564 @ 27.98/4.40 ( 27.98/4.40 powerset @ 27.98/4.40 X562 ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X566:$i, 27.98/4.40 X568:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X568 @ 27.98/4.40 ( 27.98/4.40 powerset @ 27.98/4.40 X566 ) ) => 27.98/4.40 ( 27.98/4.40 subset @ 27.98/4.40 X568 @ 27.98/4.40 X566 ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X570:$i]: 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X570 @ 27.98/4.40 ( 27.98/4.40 powerset @ 27.98/4.40 X570 ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X572:$i, 27.98/4.40 X574:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 subset @ 27.98/4.40 X572 @ 27.98/4.40 X574 ) => 27.98/4.40 ( 27.98/4.40 subset @ 27.98/4.40 ( 27.98/4.40 powerset @ 27.98/4.40 X572 ) @ 27.98/4.40 ( 27.98/4.40 powerset @ 27.98/4.40 X574 ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X576:$i, 27.98/4.40 X578:( 27.98/4.40 $i > $o )]: 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 ( 27.98/4.40 dsetconstr 27.98/4.40 @ 27.98/4.40 X576 @ 27.98/4.40 ( 27.98/4.40 ^[ 27.98/4.40 V_13:$i]: 27.98/4.40 ( 27.98/4.40 X578 @ 27.98/4.40 V_13 ) ) ) @ 27.98/4.40 ( 27.98/4.40 powerset @ 27.98/4.40 X576 ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X580:$i, 27.98/4.40 X582:( 27.98/4.40 $i > $o )]: 27.98/4.40 ( 27.98/4.40 subset @ 27.98/4.40 ( 27.98/4.40 dsetconstr 27.98/4.40 @ 27.98/4.40 X580 @ 27.98/4.40 ( 27.98/4.40 ^[ 27.98/4.40 V_14:$i]: 27.98/4.40 ( 27.98/4.40 X582 @ 27.98/4.40 V_14 ) ) ) @ 27.98/4.40 X580 ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X584:$i, 27.98/4.40 X586:$i, 27.98/4.40 X588:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X588 @ 27.98/4.40 X584 ) => 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X588 @ 27.98/4.40 ( 27.98/4.40 binunion @ 27.98/4.40 X584 @ 27.98/4.40 X586 ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X590:$i, 27.98/4.40 X592:$i]: 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X592 @ 27.98/4.40 ( 27.98/4.40 setadjoin 27.98/4.40 @ 27.98/4.40 X590 @ 27.98/4.40 ( 27.98/4.40 setadjoin 27.98/4.40 @ 27.98/4.40 X592 @ 27.98/4.40 emptyset ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X594:$i, 27.98/4.40 X596:$i, 27.98/4.40 X598:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X598 @ 27.98/4.40 X596 ) => 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X598 @ 27.98/4.40 ( 27.98/4.40 binunion @ 27.98/4.40 X594 @ 27.98/4.40 X596 ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X600:$i, 27.98/4.40 X602:$i, 27.98/4.40 X604:$i, 27.98/4.40 X606:$o]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X604 @ 27.98/4.40 ( 27.98/4.40 binunion @ 27.98/4.40 X600 @ 27.98/4.40 X602 ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X604 @ 27.98/4.40 X600 ) => 27.98/4.40 ( 27.98/4.40 X606 ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X604 @ 27.98/4.40 X602 ) => 27.98/4.40 ( 27.98/4.40 X606 ) ) => 27.98/4.40 ( 27.98/4.40 X606 ) ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X608:$i, 27.98/4.40 X610:$i, 27.98/4.40 X612:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X612 @ 27.98/4.40 ( 27.98/4.40 binunion @ 27.98/4.40 X608 @ 27.98/4.40 X610 ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X612 @ 27.98/4.40 X610 ) | 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X612 @ 27.98/4.40 X608 ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X614:$i, 27.98/4.40 X616:$i]: 27.98/4.40 ( 27.98/4.40 subset @ 27.98/4.40 X614 @ 27.98/4.40 ( 27.98/4.40 binunion @ 27.98/4.40 X614 @ 27.98/4.40 X616 ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X618:$i, 27.98/4.40 X620:$i]: 27.98/4.40 ( 27.98/4.40 subset @ 27.98/4.40 X620 @ 27.98/4.40 ( 27.98/4.40 binunion @ 27.98/4.40 X618 @ 27.98/4.40 X620 ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X622:$i, 27.98/4.40 X624:$i, 27.98/4.40 X626:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X626 @ 27.98/4.40 X622 ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X626 @ 27.98/4.40 X624 ) => 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X626 @ 27.98/4.40 ( 27.98/4.40 dsetconstr 27.98/4.40 @ 27.98/4.40 X622 @ 27.98/4.40 ( 27.98/4.40 ^[ 27.98/4.40 V_15:$i]: 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 V_15 @ 27.98/4.40 X624 ) ) ) ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X628:$i, 27.98/4.40 X630:$i, 27.98/4.40 X632:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 subset @ 27.98/4.40 X632 @ 27.98/4.40 X628 ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 subset @ 27.98/4.40 X632 @ 27.98/4.40 X630 ) => 27.98/4.40 ( 27.98/4.40 subset @ 27.98/4.40 X632 @ 27.98/4.40 ( 27.98/4.40 dsetconstr 27.98/4.40 @ 27.98/4.40 X628 @ 27.98/4.40 ( 27.98/4.40 ^[ 27.98/4.40 V_16:$i]: 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 V_16 @ 27.98/4.40 X630 ) ) ) ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X634:$i, 27.98/4.40 X636:$i, 27.98/4.40 X638:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X638 @ 27.98/4.40 ( 27.98/4.40 dsetconstr 27.98/4.40 @ 27.98/4.40 X634 @ 27.98/4.40 ( 27.98/4.40 ^[ 27.98/4.40 V_17:$i]: 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 V_17 @ 27.98/4.40 X636 ) ) ) ) => 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X638 @ 27.98/4.40 X634 ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X640:$i, 27.98/4.40 X642:$i]: 27.98/4.40 ( 27.98/4.40 subset @ 27.98/4.40 ( 27.98/4.40 dsetconstr 27.98/4.40 @ 27.98/4.40 X640 @ 27.98/4.40 ( 27.98/4.40 ^[ 27.98/4.40 V_18:$i]: 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 V_18 @ 27.98/4.40 X642 ) ) ) @ 27.98/4.40 X640 ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X644:$i, 27.98/4.40 X646:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 subset @ 27.98/4.40 X644 @ 27.98/4.40 X646 ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 dsetconstr 27.98/4.40 @ 27.98/4.40 X644 @ 27.98/4.40 ( 27.98/4.40 ^[ 27.98/4.40 V_19:$i]: 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 V_19 @ 27.98/4.40 X646 ) ) ) = 27.98/4.40 ( 27.98/4.40 X644 ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X648:$i, 27.98/4.40 X650:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 dsetconstr 27.98/4.40 @ 27.98/4.40 X648 @ 27.98/4.40 ( 27.98/4.40 ^[ 27.98/4.40 V_20:$i]: 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 V_20 @ 27.98/4.40 X650 ) ) ) = 27.98/4.40 ( 27.98/4.40 X650 ) ) => 27.98/4.40 ( 27.98/4.40 subset @ 27.98/4.40 X650 @ 27.98/4.40 X648 ) ) ) => 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X652:$i, 27.98/4.40 X654:$i, 27.98/4.40 X656:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X656 @ 27.98/4.40 ( 27.98/4.40 dsetconstr 27.98/4.40 @ 27.98/4.40 X652 @ 27.98/4.40 ( 27.98/4.40 ^[ 27.98/4.40 V_21:$i]: 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 V_21 @ 27.98/4.40 X654 ) ) ) ) => 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X656 @ 27.98/4.40 X654 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 27.98/4.40 thf(zf_stmt_1, negated_conjecture, 27.98/4.40 (~( ( ![X4:$i,X6:$i]: 27.98/4.40 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 27.98/4.40 ( ( X4 ) = ( X6 ) ) ) ) => 27.98/4.40 ( ( ![X10:$i]: ( ~( in @ X10 @ emptyset ) ) ) => 27.98/4.40 ( ( ![X12:$i,X14:$i,X16:$i]: 27.98/4.40 ( ( in @ X16 @ ( setadjoin @ X12 @ X14 ) ) <=> 27.98/4.40 ( ( in @ X16 @ X14 ) | ( ( X16 ) = ( X12 ) ) ) ) ) => 27.98/4.40 ( ( ![X18:$i,X20:$i]: 27.98/4.40 ( ( in @ X20 @ ( powerset @ X18 ) ) <=> 27.98/4.40 ( ![X22:$i]: ( ( in @ X22 @ X20 ) => ( in @ X22 @ X18 ) ) ) ) ) => 27.98/4.40 ( ( ![X24:$i,X26:$i]: 27.98/4.40 ( ( in @ X26 @ ( setunion @ X24 ) ) <=> 27.98/4.40 ( ?[X28:$i]: ( ( in @ X26 @ X28 ) & ( in @ X28 @ X24 ) ) ) ) ) => 27.98/4.40 ( ( in @ emptyset @ omega ) => 27.98/4.40 ( ( ![X30:$i]: 27.98/4.40 ( ( in @ X30 @ omega ) => 27.98/4.40 ( in @ ( setadjoin @ X30 @ X30 ) @ omega ) ) ) => 27.98/4.40 ( ( ![X32:$i]: 27.98/4.40 ( ( ( ![X34:$i]: 27.98/4.40 ( ( ( in @ X34 @ X32 ) & ( in @ X34 @ omega ) ) => 27.98/4.40 ( in @ ( setadjoin @ X34 @ X34 ) @ X32 ) ) ) & 27.98/4.40 ( in @ emptyset @ X32 ) ) => 27.98/4.40 ( ![X36:$i]: 27.98/4.40 ( ( in @ X36 @ omega ) => ( in @ X36 @ X32 ) ) ) ) ) => 27.98/4.40 ( ( ![X38:( $i > $i > $o ),X40:$i]: 27.98/4.40 ( ( ![X42:$i]: 27.98/4.40 ( ( in @ X42 @ X40 ) => 27.98/4.40 ( ?[X44:$i]: 27.98/4.40 ( ( X38 @ X42 @ X44 ) & 27.98/4.40 ( ![X46:$i]: 27.98/4.40 ( ( X38 @ X42 @ X46 ) => 27.98/4.40 ( ( X44 ) = ( X46 ) ) ) ) ) ) ) ) => 27.98/4.40 ( ?[X48:$i]: 27.98/4.40 ( ![X50:$i]: 27.98/4.40 ( ( in @ X50 @ X48 ) <=> 27.98/4.40 ( ?[X52:$i]: 27.98/4.40 ( ( in @ X52 @ X40 ) & ( X38 @ X52 @ X50 ) ) ) ) ) ) ) ) => 27.98/4.40 ( ( ![X54:$i]: 27.98/4.40 ( ( ?[X56:$i]: ( in @ X56 @ X54 ) ) => 27.98/4.40 ( ?[X58:$i]: 27.98/4.40 ( ( in @ X58 @ X54 ) & 27.98/4.40 ( ~( ?[X60:$i]: 27.98/4.40 ( ( in @ X60 @ X58 ) & 27.98/4.40 ( in @ X60 @ X54 ) ) ) ) ) ) ) ) => 27.98/4.40 ( ( ![X62:$i]: 27.98/4.40 ( ?[X64:$i]: 27.98/4.40 ( ( ![X96:$i]: 27.98/4.40 ( ( in @ X96 @ X64 ) => 27.98/4.40 ( ![X98:$i]: 27.98/4.40 ( ( in @ X98 @ X96 ) => 27.98/4.40 ( in @ X98 @ X62 ) ) ) ) ) & 27.98/4.40 ( ![X90:$i,X92:$i]: 27.98/4.40 ( ( ( in @ X92 @ X62 ) & ( in @ X90 @ X62 ) ) => 27.98/4.40 ( ( ![X94:$i]: 27.98/4.40 ( ( in @ X94 @ X64 ) => 27.98/4.40 ( ( in @ X90 @ X94 ) <=> 27.98/4.40 ( in @ X92 @ X94 ) ) ) ) => 27.98/4.40 ( ( X90 ) = ( X92 ) ) ) ) ) & 27.98/4.40 ( ![X82:$i,X84:$i]: 27.98/4.40 ( ( ( in @ X84 @ X64 ) & ( in @ X82 @ X64 ) ) => 27.98/4.40 ( ( ![X88:$i]: 27.98/4.40 ( ( in @ X88 @ X84 ) => 27.98/4.40 ( in @ X88 @ X82 ) ) ) | 27.98/4.40 ( ![X86:$i]: 27.98/4.40 ( ( in @ X86 @ X82 ) => 27.98/4.40 ( in @ X86 @ X84 ) ) ) ) ) ) & 27.98/4.40 ( ![X66:$i]: 27.98/4.40 ( ( ( ?[X70:$i]: ( in @ X70 @ X66 ) ) & 27.98/4.40 ( ![X68:$i]: 27.98/4.40 ( ( in @ X68 @ X66 ) => 27.98/4.40 ( in @ X68 @ X62 ) ) ) ) => 27.98/4.40 ( ?[X72:$i,X74:$i]: 27.98/4.40 ( ( in @ X72 @ X64 ) & 27.98/4.40 ( in @ X74 @ X66 ) & 27.98/4.40 ( ~( ?[X80:$i]: 27.98/4.40 ( ( in @ X80 @ X72 ) & 27.98/4.40 ( in @ X80 @ X66 ) ) ) ) & 27.98/4.40 ( ![X76:$i]: 27.98/4.40 ( ( in @ X76 @ X64 ) => 27.98/4.40 ( ( in @ X74 @ X76 ) | 27.98/4.40 ( ![X78:$i]: 27.98/4.40 ( ( in @ X78 @ X76 ) => 27.98/4.40 ( in @ X78 @ X72 ) ) ) ) ) ) ) ) ) ) ) ) ) => 27.98/4.40 ( ( ![X100:( $i > $o )]: 27.98/4.40 ( ( ?[X102:$i]: 27.98/4.40 ( ( X100 @ X102 ) & 27.98/4.40 ( ![X104:$i]: 27.98/4.40 ( ( X100 @ X104 ) => 27.98/4.40 ( ( X102 ) = ( X104 ) ) ) ) ) ) => 27.98/4.40 ( X100 @ 27.98/4.40 ( descr @ ( ^[V_1:$i]: ( X100 @ V_1 ) ) ) ) ) ) => 27.98/4.40 ( ( ![X106:$i,X108:( $i > $o ),X110:$i]: 27.98/4.40 ( ( in @ X110 @ X106 ) => 27.98/4.40 ( ( X108 @ X110 ) => 27.98/4.40 ( in @ 27.98/4.40 X110 @ 27.98/4.40 ( dsetconstr @ 27.98/4.40 X106 @ ( ^[V_2:$i]: ( X108 @ V_2 ) ) ) ) ) ) ) => 27.98/4.40 ( ( ![X112:$i,X114:( $i > $o ),X116:$i]: 27.98/4.40 ( ( in @ 27.98/4.40 X116 @ 27.98/4.40 ( dsetconstr @ 27.98/4.40 X112 @ ( ^[V_3:$i]: ( X114 @ V_3 ) ) ) ) => 27.98/4.40 ( in @ X116 @ X112 ) ) ) => 27.98/4.40 ( ( ![X118:$i,X120:( $i > $o ),X122:$i]: 27.98/4.40 ( ( in @ 27.98/4.40 X122 @ 27.98/4.40 ( dsetconstr @ 27.98/4.40 X118 @ 27.98/4.40 ( ^[V_4:$i]: ( X120 @ V_4 ) ) ) ) => 27.98/4.40 ( X120 @ X122 ) ) ) => 27.98/4.40 ( ( ![X124:( $i > $o )]: 27.98/4.40 ( ( ?[X126:$i]: 27.98/4.40 ( ( X124 @ X126 ) & 27.98/4.40 ( ![X128:$i]: 27.98/4.40 ( ( X124 @ X128 ) => 27.98/4.40 ( ( X126 ) = ( X128 ) ) ) ) ) ) => 27.98/4.40 ( ?[X130:$i]: 27.98/4.40 ( ( X124 @ X130 ) & 27.98/4.40 ( ![X132:$i]: 27.98/4.40 ( ( X124 @ X132 ) => 27.98/4.40 ( ( X130 ) = ( X132 ) ) ) ) ) ) ) ) => 27.98/4.40 ( ( ![X134:$o,X136:$i]: 27.98/4.40 ( ( in @ X136 @ ( prop2set @ X134 ) ) => 27.98/4.40 ( X134 ) ) ) => 27.98/4.40 ( ( ![X138:$i]: 27.98/4.40 ( ( in @ X138 @ emptyset ) => 27.98/4.40 ( ![X140:$o]: ( X140 ) ) ) ) => 27.98/4.40 ( ( ![X142:$i]: 27.98/4.40 ( ~( in @ X142 @ emptyset ) ) ) => 27.98/4.40 ( ( ![X144:$i]: 27.98/4.40 ( ~( in @ X144 @ emptyset ) ) ) => 27.98/4.40 ( ( ![X146:( $i > $o )]: 27.98/4.40 ( ( ?[X148:$i]: 27.98/4.40 ( ( X146 @ X148 ) & 27.98/4.40 ( ![X150:$i]: 27.98/4.40 ( ( X146 @ X150 ) => 27.98/4.40 ( ( X148 ) = 27.98/4.40 ( X150 ) ) ) ) ) ) => 27.98/4.40 ( ?[X152:$i]: 27.98/4.40 ( X146 @ X152 ) ) ) ) => 27.98/4.40 ( ( ![X154:$i,X156:$i]: 27.98/4.40 ( ( ![X158:$i]: 27.98/4.40 ( ( in @ X158 @ X154 ) => 27.98/4.40 ( in @ X158 @ X156 ) ) ) => 27.98/4.40 ( ( ![X160:$i]: 27.98/4.40 ( ( in @ X160 @ X156 ) => 27.98/4.40 ( in @ X160 @ X154 ) ) ) => 27.98/4.40 ( ( X154 ) = ( X156 ) ) ) ) ) => 27.98/4.40 ( ( ![X162:$i]: 27.98/4.40 ( ( ![X164:$i]: 27.98/4.40 ( ~( in @ X164 @ X162 ) ) ) => 27.98/4.40 ( ( X162 ) = 27.98/4.40 ( emptyset ) ) ) ) => 27.98/4.40 ( ( ![X166:$i]: 27.98/4.40 ( ( ![X168:$i]: 27.98/4.40 ( ~( in @ 27.98/4.40 X168 @ X166 ) ) ) => 27.98/4.40 ( ( X166 ) = 27.98/4.40 ( emptyset ) ) ) ) => 27.98/4.40 ( ( ![X170:$i, 27.98/4.40 X172:( $i > $o ), 27.98/4.40 X174:$i]: 27.98/4.40 ( ( in @ X174 @ X170 ) => 27.98/4.40 ( ( in @ 27.98/4.40 X174 @ 27.98/4.40 ( dsetconstr @ 27.98/4.40 X170 @ 27.98/4.40 ( ^[V_5:$i]: 27.98/4.40 ( X172 @ 27.98/4.40 V_5 ) ) ) ) <=> 27.98/4.40 ( X172 @ X174 ) ) ) ) => 27.98/4.40 ( ( ![X176:$i]: 27.98/4.40 ( ( ( X176 ) != 27.98/4.40 ( emptyset ) ) => 27.98/4.40 ( ?[X178:$i]: 27.98/4.40 ( in @ 27.98/4.40 X178 @ X176 ) ) ) ) => 27.98/4.40 ( ( ![X180:$i, 27.98/4.40 X182:( 27.98/4.40 $i > $o ), 27.98/4.40 X184:$i]: 27.98/4.40 ( ( in @ 27.98/4.40 X184 @ X180 ) => 27.98/4.40 ( ( X182 @ X184 ) => 27.98/4.40 ( ( dsetconstr 27.98/4.40 @ 27.98/4.40 X180 @ 27.98/4.40 ( 27.98/4.40 ^[ 27.98/4.40 V_6:$i]: 27.98/4.40 ( 27.98/4.40 X182 @ 27.98/4.40 V_6 ) ) ) != 27.98/4.40 ( emptyset ) ) ) ) ) => 27.98/4.40 ( ( ![X186:$i]: 27.98/4.40 ( ( ?[X188:$i]: 27.98/4.40 ( in @ 27.98/4.40 X188 @ 27.98/4.40 X186 ) ) => 27.98/4.40 ( ( X186 ) != 27.98/4.40 ( emptyset ) ) ) ) => 27.98/4.40 ( ( ![X190:$i, 27.98/4.40 X192:$i]: 27.98/4.40 ( in @ 27.98/4.40 X190 @ 27.98/4.40 ( setadjoin 27.98/4.40 @ 27.98/4.40 X190 @ 27.98/4.40 X192 ) ) ) => 27.98/4.40 ( ( in @ 27.98/4.40 emptyset @ 27.98/4.40 ( setadjoin 27.98/4.40 @ 27.98/4.40 emptyset @ 27.98/4.40 emptyset ) ) => 27.98/4.40 ( ( ![ 27.98/4.40 X194:$i, 27.98/4.40 X196:$i, 27.98/4.40 X198:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X198 @ 27.98/4.40 X196 ) => 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X198 @ 27.98/4.40 ( 27.98/4.40 setadjoin 27.98/4.40 @ 27.98/4.40 X194 @ 27.98/4.40 X196 ) ) ) ) => 27.98/4.40 ( ( 27.98/4.40 ![ 27.98/4.40 X200:$i, 27.98/4.40 X202:$i, 27.98/4.40 X204:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X204 @ 27.98/4.40 ( 27.98/4.40 setadjoin 27.98/4.40 @ 27.98/4.40 X200 @ 27.98/4.40 X202 ) ) => 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X206:$o]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 X204 ) = 27.98/4.40 ( 27.98/4.40 X200 ) ) => 27.98/4.40 ( 27.98/4.40 X206 ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X204 @ 27.98/4.40 X202 ) => 27.98/4.40 ( 27.98/4.40 X206 ) ) => 27.98/4.40 ( 27.98/4.40 X206 ) ) ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X208:$i, 27.98/4.40 X210:$i, 27.98/4.40 X212:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X212 @ 27.98/4.40 ( 27.98/4.40 setadjoin 27.98/4.40 @ 27.98/4.40 X208 @ 27.98/4.40 X210 ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X212 @ 27.98/4.40 X210 ) | 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 X212 ) = 27.98/4.40 ( 27.98/4.40 X208 ) ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X214:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 dsetconstr 27.98/4.40 @ 27.98/4.40 X214 @ 27.98/4.40 ( 27.98/4.40 ^[ 27.98/4.40 V_7:$i]: 27.98/4.40 ( 27.98/4.40 $true ) ) ) = 27.98/4.40 ( 27.98/4.40 X214 ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X216:$i, 27.98/4.40 X218:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X220:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X220 @ 27.98/4.40 X218 ) => 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X220 @ 27.98/4.40 X216 ) ) ) => 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X218 @ 27.98/4.40 ( 27.98/4.40 powerset 27.98/4.40 @ 27.98/4.40 X216 ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X222:$i]: 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 emptyset @ 27.98/4.40 ( 27.98/4.40 powerset 27.98/4.40 @ 27.98/4.40 X222 ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X224:$i]: 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 emptyset @ 27.98/4.40 ( 27.98/4.40 powerset 27.98/4.40 @ 27.98/4.40 X224 ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X226:$i, 27.98/4.40 X228:$i, 27.98/4.40 X230:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X228 @ 27.98/4.40 ( 27.98/4.40 powerset 27.98/4.40 @ 27.98/4.40 X226 ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X230 @ 27.98/4.40 X228 ) => 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X230 @ 27.98/4.40 X226 ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X232:$i, 27.98/4.40 X234:$i, 27.98/4.40 X236:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X234 @ 27.98/4.40 X236 ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X236 @ 27.98/4.40 X232 ) => 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X234 @ 27.98/4.40 ( 27.98/4.40 setunion 27.98/4.40 @ 27.98/4.40 X232 ) ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X238:$i, 27.98/4.40 X240:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X240 @ 27.98/4.40 ( 27.98/4.40 setunion 27.98/4.40 @ 27.98/4.40 X238 ) ) => 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X242:$o]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X244:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X240 @ 27.98/4.40 X244 ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X244 @ 27.98/4.40 X238 ) => 27.98/4.40 ( 27.98/4.40 X242 ) ) ) ) => 27.98/4.40 ( 27.98/4.40 X242 ) ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X246:$i, 27.98/4.40 X248:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X248 @ 27.98/4.40 X246 ) => 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X248 @ 27.98/4.40 ( 27.98/4.40 powerset 27.98/4.40 @ 27.98/4.40 ( 27.98/4.40 setunion 27.98/4.40 @ 27.98/4.40 X246 ) ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X250:( 27.98/4.40 $i > $o )]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ?[ 27.98/4.40 X252:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 X250 @ 27.98/4.40 X252 ) & 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X254:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 X250 @ 27.98/4.40 X254 ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 X252 ) = 27.98/4.40 ( 27.98/4.40 X254 ) ) ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ?[ 27.98/4.40 X256:$i]: 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X258:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 X250 @ 27.98/4.40 X258 ) <=> 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 X258 ) = 27.98/4.40 ( 27.98/4.40 X256 ) ) ) ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X260:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 X260 ) != 27.98/4.40 ( 27.98/4.40 emptyset ) ) => 27.98/4.40 ( 27.98/4.40 ?[ 27.98/4.40 X262:$i]: 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X262 @ 27.98/4.40 X260 ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X264:$i, 27.98/4.40 X266:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X264 @ 27.98/4.40 ( 27.98/4.40 setadjoin 27.98/4.40 @ 27.98/4.40 X266 @ 27.98/4.40 emptyset ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 X264 ) = 27.98/4.40 ( 27.98/4.40 X266 ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X268:$i, 27.98/4.40 X270:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 X268 ) != 27.98/4.40 ( 27.98/4.40 X270 ) ) => 27.98/4.40 ( 27.98/4.40 ~ 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X270 @ 27.98/4.40 ( 27.98/4.40 setadjoin 27.98/4.40 @ 27.98/4.40 X268 @ 27.98/4.40 emptyset ) ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X272:$i, 27.98/4.40 X274:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 X272 ) = 27.98/4.40 ( 27.98/4.40 X274 ) ) => 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X272 @ 27.98/4.40 ( 27.98/4.40 setadjoin 27.98/4.40 @ 27.98/4.40 X274 @ 27.98/4.40 emptyset ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X276:$i, 27.98/4.40 X278:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X276 @ 27.98/4.40 ( 27.98/4.40 setadjoin 27.98/4.40 @ 27.98/4.40 X278 @ 27.98/4.40 emptyset ) ) => 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X278 @ 27.98/4.40 ( 27.98/4.40 setadjoin 27.98/4.40 @ 27.98/4.40 X276 @ 27.98/4.40 emptyset ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X280:$i, 27.98/4.40 X282:$i, 27.98/4.40 X284:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X284 @ 27.98/4.40 ( 27.98/4.40 setadjoin 27.98/4.40 @ 27.98/4.40 X280 @ 27.98/4.40 ( 27.98/4.40 setadjoin 27.98/4.40 @ 27.98/4.40 X282 @ 27.98/4.40 emptyset ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 X284 ) = 27.98/4.40 ( 27.98/4.40 X282 ) ) | 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 X284 ) = 27.98/4.40 ( 27.98/4.40 X280 ) ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X286:$i, 27.98/4.40 X288:$i]: 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X286 @ 27.98/4.40 ( 27.98/4.40 setadjoin 27.98/4.40 @ 27.98/4.40 X286 @ 27.98/4.40 ( 27.98/4.40 setadjoin 27.98/4.40 @ 27.98/4.40 X288 @ 27.98/4.40 emptyset ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X290:$i, 27.98/4.40 X292:$i]: 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X292 @ 27.98/4.40 ( 27.98/4.40 setadjoin 27.98/4.40 @ 27.98/4.40 X290 @ 27.98/4.40 ( 27.98/4.40 setadjoin 27.98/4.40 @ 27.98/4.40 X292 @ 27.98/4.40 emptyset ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X294:$i, 27.98/4.40 X296:( 27.98/4.40 $i > $o )]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ?[ 27.98/4.40 X298:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X298 @ 27.98/4.40 X294 ) & 27.98/4.40 ( 27.98/4.40 X296 @ 27.98/4.40 X298 ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 dsetconstr 27.98/4.40 @ 27.98/4.40 X294 @ 27.98/4.40 ( 27.98/4.40 ^[ 27.98/4.40 V_8:$i]: 27.98/4.40 ( 27.98/4.40 X296 @ 27.98/4.40 V_8 ) ) ) != 27.98/4.40 ( 27.98/4.40 emptyset ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X300:( 27.98/4.40 $i > $o ), 27.98/4.40 X302:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X302 @ 27.98/4.40 emptyset ) => 27.98/4.40 ( 27.98/4.40 X300 @ 27.98/4.40 X302 ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X304:$i, 27.98/4.40 X306:( 27.98/4.40 $i > $o )]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ~ 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X308:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X308 @ 27.98/4.40 X304 ) => 27.98/4.40 ( 27.98/4.40 X306 @ 27.98/4.40 X308 ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ?[ 27.98/4.40 X310:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X310 @ 27.98/4.40 X304 ) & 27.98/4.40 ( 27.98/4.40 ~ 27.98/4.40 ( 27.98/4.40 X306 @ 27.98/4.40 X310 ) ) ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X312:$i, 27.98/4.40 X314:( 27.98/4.40 $i > $o )]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X316:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X316 @ 27.98/4.40 X312 ) => 27.98/4.40 ( 27.98/4.40 ~ 27.98/4.40 ( 27.98/4.40 X314 @ 27.98/4.40 X316 ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ~ 27.98/4.40 ( 27.98/4.40 ?[ 27.98/4.40 X318:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X318 @ 27.98/4.40 X312 ) & 27.98/4.40 ( 27.98/4.40 X314 @ 27.98/4.40 X318 ) ) ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X320:$i, 27.98/4.40 X322:( 27.98/4.40 $i > $o )]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ~ 27.98/4.40 ( 27.98/4.40 ?[ 27.98/4.40 X324:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X324 @ 27.98/4.40 X320 ) & 27.98/4.40 ( 27.98/4.40 X322 @ 27.98/4.40 X324 ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X326:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X326 @ 27.98/4.40 X320 ) => 27.98/4.40 ( 27.98/4.40 ~ 27.98/4.40 ( 27.98/4.40 X322 @ 27.98/4.40 X326 ) ) ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X328:$i, 27.98/4.40 X330:( 27.98/4.40 $i > $o )]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ?[ 27.98/4.40 X332:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X332 @ 27.98/4.40 X328 ) & 27.98/4.40 ( 27.98/4.40 ~ 27.98/4.40 ( 27.98/4.40 X330 @ 27.98/4.40 X332 ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ~ 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X334:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X334 @ 27.98/4.40 X328 ) => 27.98/4.40 ( 27.98/4.40 X330 @ 27.98/4.40 X334 ) ) ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X336:$o]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 X336 ) => 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 emptyset @ 27.98/4.40 ( 27.98/4.40 prop2set 27.98/4.40 @ 27.98/4.40 X336 ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X338:$o]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 X338 ) => 27.98/4.40 ( 27.98/4.40 set2prop 27.98/4.40 @ 27.98/4.40 ( 27.98/4.40 prop2set 27.98/4.40 @ 27.98/4.40 X338 ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X340:$i, 27.98/4.40 X342:( 27.98/4.40 $i > $o )]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ~ 27.98/4.40 ( 27.98/4.40 ?[ 27.98/4.40 X344:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X344 @ 27.98/4.40 X340 ) & 27.98/4.40 ( 27.98/4.40 X342 @ 27.98/4.40 X344 ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X346:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X346 @ 27.98/4.40 X340 ) => 27.98/4.40 ( 27.98/4.40 ~ 27.98/4.40 ( 27.98/4.40 X342 @ 27.98/4.40 X346 ) ) ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X348:$i, 27.98/4.40 X350:( 27.98/4.40 $i > $o )]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ~ 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X352:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X352 @ 27.98/4.40 X348 ) => 27.98/4.40 ( 27.98/4.40 X350 @ 27.98/4.40 X352 ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ?[ 27.98/4.40 X354:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 in @ 27.98/4.40 X354 @ 27.98/4.40 X348 ) & 27.98/4.40 ( 27.98/4.40 ~ 27.98/4.40 ( 27.98/4.40 X350 @ 27.98/4.40 X354 ) ) ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X356:( 27.98/4.40 $i > $o )]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ?[ 27.98/4.40 X358:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 X356 @ 27.98/4.40 X358 ) & 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X360:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 X356 @ 27.98/4.40 X360 ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 X358 ) = 27.98/4.40 ( 27.98/4.40 X360 ) ) ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ?[ 27.98/4.40 X362:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 X356 @ 27.98/4.40 X362 ) & 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X364:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 X356 @ 27.98/4.40 X364 ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 X362 ) = 27.98/4.40 ( 27.98/4.40 X364 ) ) ) ) ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X366:( 27.98/4.40 $i > $o )]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ?[ 27.98/4.40 X368:$i]: 27.98/4.40 ( 27.98/4.40 X366 @ 27.98/4.40 X368 ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X370:$i, 27.98/4.40 X372:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 X366 @ 27.98/4.40 X370 ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 X366 @ 27.98/4.40 X372 ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 X370 ) = 27.98/4.40 ( 27.98/4.40 X372 ) ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ?[ 27.98/4.40 X374:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 X366 @ 27.98/4.40 X374 ) & 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X376:$i]: 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 X366 @ 27.98/4.40 X376 ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 X374 ) = 27.98/4.40 ( 27.98/4.40 X376 ) ) ) ) ) ) ) ) ) => 27.98/4.40 ( 27.98/4.40 ( 27.98/4.40 ![ 27.98/4.40 X378:( 27.98/4.40 $i > $o )]: 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 ?[ 27.98/4.41 X380:$i]: 27.98/4.41 ( 27.98/4.41 ![ 27.98/4.41 X382:$i]: 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 X378 @ 27.98/4.41 X382 ) <=> 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 X382 ) = 27.98/4.41 ( 27.98/4.41 X380 ) ) ) ) ) => 27.98/4.41 ( 27.98/4.41 ?[ 27.98/4.41 X384:$i]: 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 X378 @ 27.98/4.41 X384 ) & 27.98/4.41 ( 27.98/4.41 ![ 27.98/4.41 X386:$i]: 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 X378 @ 27.98/4.41 X386 ) => 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 X384 ) = 27.98/4.41 ( 27.98/4.41 X386 ) ) ) ) ) ) ) ) => 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 ![ 27.98/4.41 X388:$i, 27.98/4.41 X390:$i]: 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 X388 ) = 27.98/4.41 ( 27.98/4.41 X390 ) ) => 27.98/4.41 ( 27.98/4.41 ![ 27.98/4.41 X392:$i, 27.98/4.41 X394:$i]: 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 X392 ) = 27.98/4.41 ( 27.98/4.41 X394 ) ) => 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 in @ 27.98/4.41 X392 @ 27.98/4.41 X388 ) => 27.98/4.41 ( 27.98/4.41 in @ 27.98/4.41 X394 @ 27.98/4.41 X390 ) ) ) ) ) ) => 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 ![ 27.98/4.41 X396:$i, 27.98/4.41 X398:$i]: 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 X396 ) = 27.98/4.41 ( 27.98/4.41 X398 ) ) => 27.98/4.41 ( 27.98/4.41 ![ 27.98/4.41 X400:$i, 27.98/4.41 X402:$i]: 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 X400 ) = 27.98/4.41 ( 27.98/4.41 X402 ) ) => 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 in @ 27.98/4.41 X400 @ 27.98/4.41 X396 ) <=> 27.98/4.41 ( 27.98/4.41 in @ 27.98/4.41 X402 @ 27.98/4.41 X398 ) ) ) ) ) ) => 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 ![ 27.98/4.41 X404:( 27.98/4.41 $i > $o )]: 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 ?[ 27.98/4.41 X406:$i]: 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 X404 @ 27.98/4.41 X406 ) & 27.98/4.41 ( 27.98/4.41 ![ 27.98/4.41 X408:$i]: 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 X404 @ 27.98/4.41 X408 ) => 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 X406 ) = 27.98/4.41 ( 27.98/4.41 X408 ) ) ) ) ) ) => 27.98/4.41 ( 27.98/4.41 ![ 27.98/4.41 X410:$i, 27.98/4.41 X412:$i]: 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 X404 @ 27.98/4.41 X410 ) => 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 X404 @ 27.98/4.41 X412 ) => 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 X410 ) = 27.98/4.41 ( 27.98/4.41 X412 ) ) ) ) ) ) ) => 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 ![ 27.98/4.41 X414:( 27.98/4.41 $i > $o ), 27.98/4.41 X416:( 27.98/4.41 $i > $o )]: 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 ![ 27.98/4.41 X418:$i, 27.98/4.41 X420:$i]: 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 X418 ) = 27.98/4.41 ( 27.98/4.41 X420 ) ) => 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 X414 @ 27.98/4.41 X418 ) <=> 27.98/4.41 ( 27.98/4.41 X416 @ 27.98/4.41 X420 ) ) ) ) => 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 ?[ 27.98/4.41 X422:$i]: 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 X414 @ 27.98/4.41 X422 ) & 27.98/4.41 ( 27.98/4.41 ![ 27.98/4.41 X424:$i]: 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 X414 @ 27.98/4.41 X424 ) => 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 X422 ) = 27.98/4.41 ( 27.98/4.41 X424 ) ) ) ) ) ) <=> 27.98/4.41 ( 27.98/4.41 ?[ 27.98/4.41 X426:$i]: 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 X416 @ 27.98/4.41 X426 ) & 27.98/4.41 ( 27.98/4.41 ![ 27.98/4.41 X428:$i]: 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 X416 @ 27.98/4.41 X428 ) => 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 X426 ) = 27.98/4.41 ( 27.98/4.41 X428 ) ) ) ) ) ) ) ) ) => 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 emptyset ) = 27.98/4.41 ( 27.98/4.41 emptyset ) ) => 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 ![ 27.98/4.41 X430:$i, 27.98/4.41 X432:$i]: 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 X430 ) = 27.98/4.41 ( 27.98/4.41 X432 ) ) => 27.98/4.41 ( 27.98/4.41 ![ 27.98/4.41 X434:$i, 27.98/4.41 X436:$i]: 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 X434 ) = 27.98/4.41 ( 27.98/4.41 X436 ) ) => 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 setadjoin 27.98/4.41 @ 27.98/4.41 X430 @ 27.98/4.41 X434 ) = 27.98/4.41 ( 27.98/4.41 setadjoin 27.98/4.41 @ 27.98/4.41 X432 @ 27.98/4.41 X436 ) ) ) ) ) ) => 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 ![ 27.98/4.41 X438:$i, 27.98/4.41 X440:$i]: 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 ( 27.98/4.41 X438 ) = 28.89/4.41 ( 28.89/4.41 X440 ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 powerset 28.89/4.41 @ 28.89/4.41 X438 ) = 28.89/4.41 ( 28.89/4.41 powerset 28.89/4.41 @ 28.89/4.41 X440 ) ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X442:$i, 28.89/4.41 X444:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 X442 ) = 28.89/4.41 ( 28.89/4.41 X444 ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 setunion 28.89/4.41 @ 28.89/4.41 X442 ) = 28.89/4.41 ( 28.89/4.41 setunion 28.89/4.41 @ 28.89/4.41 X444 ) ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 omega ) = 28.89/4.41 ( 28.89/4.41 omega ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X446:( 28.89/4.41 $i > $o )]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ?[ 28.89/4.41 X448:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 X446 @ 28.89/4.41 X448 ) & 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X450:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 X446 @ 28.89/4.41 X450 ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 X448 ) = 28.89/4.41 ( 28.89/4.41 X450 ) ) ) ) ) ) => 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X452:$i, 28.89/4.41 X454:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 X446 @ 28.89/4.41 X452 ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 X446 @ 28.89/4.41 X454 ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 X452 ) = 28.89/4.41 ( 28.89/4.41 X454 ) ) ) ) ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X456:( 28.89/4.41 $i > $o ), 28.89/4.41 X458:( 28.89/4.41 $i > $o )]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X460:$i, 28.89/4.41 X462:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 X460 ) = 28.89/4.41 ( 28.89/4.41 X462 ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 X456 @ 28.89/4.41 X460 ) <=> 28.89/4.41 ( 28.89/4.41 X458 @ 28.89/4.41 X462 ) ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ?[ 28.89/4.41 X464:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 X456 @ 28.89/4.41 X464 ) & 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X466:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 X456 @ 28.89/4.41 X466 ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 X464 ) = 28.89/4.41 ( 28.89/4.41 X466 ) ) ) ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ?[ 28.89/4.41 X468:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 X458 @ 28.89/4.41 X468 ) & 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X470:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 X458 @ 28.89/4.41 X470 ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 X468 ) = 28.89/4.41 ( 28.89/4.41 X470 ) ) ) ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 descr @ 28.89/4.41 ( 28.89/4.41 ^[ 28.89/4.41 V_9:$i]: 28.89/4.41 ( 28.89/4.41 X456 @ 28.89/4.41 V_9 ) ) ) = 28.89/4.41 ( 28.89/4.41 descr @ 28.89/4.41 ( 28.89/4.41 ^[ 28.89/4.41 V_10:$i]: 28.89/4.41 ( 28.89/4.41 X458 @ 28.89/4.41 V_10 ) ) ) ) ) ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X472:$i, 28.89/4.41 X474:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 X472 ) = 28.89/4.41 ( 28.89/4.41 X474 ) ) => 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X476:( 28.89/4.41 $i > $o ), 28.89/4.41 X478:( 28.89/4.41 $i > $o )]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X480:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X480 @ 28.89/4.41 X472 ) => 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X482:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X482 @ 28.89/4.41 X474 ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 X480 ) = 28.89/4.41 ( 28.89/4.41 X482 ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 X476 @ 28.89/4.41 X480 ) <=> 28.89/4.41 ( 28.89/4.41 X478 @ 28.89/4.41 X482 ) ) ) ) ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 dsetconstr 28.89/4.41 @ 28.89/4.41 X472 @ 28.89/4.41 ( 28.89/4.41 ^[ 28.89/4.41 V_11:$i]: 28.89/4.41 ( 28.89/4.41 X476 @ 28.89/4.41 V_11 ) ) ) = 28.89/4.41 ( 28.89/4.41 dsetconstr 28.89/4.41 @ 28.89/4.41 X474 @ 28.89/4.41 ( 28.89/4.41 ^[ 28.89/4.41 V_12:$i]: 28.89/4.41 ( 28.89/4.41 X478 @ 28.89/4.41 V_12 ) ) ) ) ) ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X484:$i, 28.89/4.41 X486:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X488:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X488 @ 28.89/4.41 X484 ) => 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X488 @ 28.89/4.41 X486 ) ) ) => 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 X484 @ 28.89/4.41 X486 ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X490:$i, 28.89/4.41 X492:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 X490 ) = 28.89/4.41 ( 28.89/4.41 X492 ) ) => 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 X492 @ 28.89/4.41 X490 ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X494:$i, 28.89/4.41 X496:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 X494 ) = 28.89/4.41 ( 28.89/4.41 X496 ) ) => 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 X494 @ 28.89/4.41 X496 ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X498:$i, 28.89/4.41 X500:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X502:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X502 @ 28.89/4.41 X498 ) => 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X502 @ 28.89/4.41 X500 ) ) ) => 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 X498 @ 28.89/4.41 X500 ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X504:$i]: 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 emptyset @ 28.89/4.41 X504 ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X506:$i, 28.89/4.41 X508:$i, 28.89/4.41 X510:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 X506 @ 28.89/4.41 X508 ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X510 @ 28.89/4.41 X506 ) => 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X510 @ 28.89/4.41 X508 ) ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X512:$i, 28.89/4.41 X514:$i, 28.89/4.41 X516:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 X512 @ 28.89/4.41 X514 ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ~ 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X516 @ 28.89/4.41 X514 ) ) => 28.89/4.41 ( 28.89/4.41 ~ 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X516 @ 28.89/4.41 X512 ) ) ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X518:$i, 28.89/4.41 X520:$i, 28.89/4.41 X522:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X522 @ 28.89/4.41 X518 ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ~ 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X522 @ 28.89/4.41 X520 ) ) => 28.89/4.41 ( 28.89/4.41 ~ 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 X518 @ 28.89/4.41 X520 ) ) ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X524:$i, 28.89/4.41 X526:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ~ 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 X524 @ 28.89/4.41 X526 ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 X524 ) != 28.89/4.41 ( 28.89/4.41 X526 ) ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X528:$i, 28.89/4.41 X530:$i, 28.89/4.41 X532:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X532 @ 28.89/4.41 X528 ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ~ 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X532 @ 28.89/4.41 X530 ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 X528 ) != 28.89/4.41 ( 28.89/4.41 X530 ) ) ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X534:$i]: 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 X534 @ 28.89/4.41 X534 ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X536:$i, 28.89/4.41 X538:$i, 28.89/4.41 X540:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 X536 @ 28.89/4.41 X538 ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 X538 @ 28.89/4.41 X540 ) => 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 X536 @ 28.89/4.41 X540 ) ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X542:$i, 28.89/4.41 X544:$i]: 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 X544 @ 28.89/4.41 ( 28.89/4.41 setadjoin 28.89/4.41 @ 28.89/4.41 X542 @ 28.89/4.41 X544 ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X546:$i, 28.89/4.41 X548:$i, 28.89/4.41 X550:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 X546 @ 28.89/4.41 X550 ) => 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 X546 @ 28.89/4.41 ( 28.89/4.41 setadjoin 28.89/4.41 @ 28.89/4.41 X548 @ 28.89/4.41 X550 ) ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X552:$i, 28.89/4.41 X554:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 X552 @ 28.89/4.41 X554 ) => 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X552 @ 28.89/4.41 ( 28.89/4.41 powerset 28.89/4.41 @ 28.89/4.41 X554 ) ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X556:$i, 28.89/4.41 X558:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 X556 @ 28.89/4.41 X558 ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 X558 @ 28.89/4.41 X556 ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 X556 ) = 28.89/4.41 ( 28.89/4.41 X558 ) ) ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X560:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 X560 @ 28.89/4.41 emptyset ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 X560 ) = 28.89/4.41 ( 28.89/4.41 emptyset ) ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X562:$i, 28.89/4.41 X564:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 X564 @ 28.89/4.41 X562 ) => 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X564 @ 28.89/4.41 ( 28.89/4.41 powerset 28.89/4.41 @ 28.89/4.41 X562 ) ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X566:$i, 28.89/4.41 X568:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X568 @ 28.89/4.41 ( 28.89/4.41 powerset 28.89/4.41 @ 28.89/4.41 X566 ) ) => 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 X568 @ 28.89/4.41 X566 ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X570:$i]: 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X570 @ 28.89/4.41 ( 28.89/4.41 powerset 28.89/4.41 @ 28.89/4.41 X570 ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X572:$i, 28.89/4.41 X574:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 X572 @ 28.89/4.41 X574 ) => 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 ( 28.89/4.41 powerset 28.89/4.41 @ 28.89/4.41 X572 ) @ 28.89/4.41 ( 28.89/4.41 powerset 28.89/4.41 @ 28.89/4.41 X574 ) ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X576:$i, 28.89/4.41 X578:( 28.89/4.41 $i > $o )]: 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 ( 28.89/4.41 dsetconstr 28.89/4.41 @ 28.89/4.41 X576 @ 28.89/4.41 ( 28.89/4.41 ^[ 28.89/4.41 V_13:$i]: 28.89/4.41 ( 28.89/4.41 X578 @ 28.89/4.41 V_13 ) ) ) @ 28.89/4.41 ( 28.89/4.41 powerset 28.89/4.41 @ 28.89/4.41 X576 ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X580:$i, 28.89/4.41 X582:( 28.89/4.41 $i > $o )]: 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 ( 28.89/4.41 dsetconstr 28.89/4.41 @ 28.89/4.41 X580 @ 28.89/4.41 ( 28.89/4.41 ^[ 28.89/4.41 V_14:$i]: 28.89/4.41 ( 28.89/4.41 X582 @ 28.89/4.41 V_14 ) ) ) @ 28.89/4.41 X580 ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X584:$i, 28.89/4.41 X586:$i, 28.89/4.41 X588:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X588 @ 28.89/4.41 X584 ) => 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X588 @ 28.89/4.41 ( 28.89/4.41 binunion 28.89/4.41 @ 28.89/4.41 X584 @ 28.89/4.41 X586 ) ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X590:$i, 28.89/4.41 X592:$i]: 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X592 @ 28.89/4.41 ( 28.89/4.41 setadjoin 28.89/4.41 @ 28.89/4.41 X590 @ 28.89/4.41 ( 28.89/4.41 setadjoin 28.89/4.41 @ 28.89/4.41 X592 @ 28.89/4.41 emptyset ) ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X594:$i, 28.89/4.41 X596:$i, 28.89/4.41 X598:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X598 @ 28.89/4.41 X596 ) => 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X598 @ 28.89/4.41 ( 28.89/4.41 binunion 28.89/4.41 @ 28.89/4.41 X594 @ 28.89/4.41 X596 ) ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X600:$i, 28.89/4.41 X602:$i, 28.89/4.41 X604:$i, 28.89/4.41 X606:$o]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X604 @ 28.89/4.41 ( 28.89/4.41 binunion 28.89/4.41 @ 28.89/4.41 X600 @ 28.89/4.41 X602 ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X604 @ 28.89/4.41 X600 ) => 28.89/4.41 ( 28.89/4.41 X606 ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X604 @ 28.89/4.41 X602 ) => 28.89/4.41 ( 28.89/4.41 X606 ) ) => 28.89/4.41 ( 28.89/4.41 X606 ) ) ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X608:$i, 28.89/4.41 X610:$i, 28.89/4.41 X612:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X612 @ 28.89/4.41 ( 28.89/4.41 binunion 28.89/4.41 @ 28.89/4.41 X608 @ 28.89/4.41 X610 ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X612 @ 28.89/4.41 X610 ) | 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X612 @ 28.89/4.41 X608 ) ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X614:$i, 28.89/4.41 X616:$i]: 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 X614 @ 28.89/4.41 ( 28.89/4.41 binunion 28.89/4.41 @ 28.89/4.41 X614 @ 28.89/4.41 X616 ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X618:$i, 28.89/4.41 X620:$i]: 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 X620 @ 28.89/4.41 ( 28.89/4.41 binunion 28.89/4.41 @ 28.89/4.41 X618 @ 28.89/4.41 X620 ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X622:$i, 28.89/4.41 X624:$i, 28.89/4.41 X626:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X626 @ 28.89/4.41 X622 ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X626 @ 28.89/4.41 X624 ) => 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X626 @ 28.89/4.41 ( 28.89/4.41 dsetconstr 28.89/4.41 @ 28.89/4.41 X622 @ 28.89/4.41 ( 28.89/4.41 ^[ 28.89/4.41 V_15:$i]: 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 V_15 @ 28.89/4.41 X624 ) ) ) ) ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X628:$i, 28.89/4.41 X630:$i, 28.89/4.41 X632:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 X632 @ 28.89/4.41 X628 ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 X632 @ 28.89/4.41 X630 ) => 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 X632 @ 28.89/4.41 ( 28.89/4.41 dsetconstr 28.89/4.41 @ 28.89/4.41 X628 @ 28.89/4.41 ( 28.89/4.41 ^[ 28.89/4.41 V_16:$i]: 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 V_16 @ 28.89/4.41 X630 ) ) ) ) ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X634:$i, 28.89/4.41 X636:$i, 28.89/4.41 X638:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X638 @ 28.89/4.41 ( 28.89/4.41 dsetconstr 28.89/4.41 @ 28.89/4.41 X634 @ 28.89/4.41 ( 28.89/4.41 ^[ 28.89/4.41 V_17:$i]: 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 V_17 @ 28.89/4.41 X636 ) ) ) ) => 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X638 @ 28.89/4.41 X634 ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X640:$i, 28.89/4.41 X642:$i]: 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 ( 28.89/4.41 dsetconstr 28.89/4.41 @ 28.89/4.41 X640 @ 28.89/4.41 ( 28.89/4.41 ^[ 28.89/4.41 V_18:$i]: 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 V_18 @ 28.89/4.41 X642 ) ) ) @ 28.89/4.41 X640 ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X644:$i, 28.89/4.41 X646:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 X644 @ 28.89/4.41 X646 ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 dsetconstr 28.89/4.41 @ 28.89/4.41 X644 @ 28.89/4.41 ( 28.89/4.41 ^[ 28.89/4.41 V_19:$i]: 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 V_19 @ 28.89/4.41 X646 ) ) ) = 28.89/4.41 ( 28.89/4.41 X644 ) ) ) ) => 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X648:$i, 28.89/4.41 X650:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 dsetconstr 28.89/4.41 @ 28.89/4.41 X648 @ 28.89/4.41 ( 28.89/4.41 ^[ 28.89/4.41 V_20:$i]: 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 V_20 @ 28.89/4.41 X650 ) ) ) = 28.89/4.41 ( 28.89/4.41 X650 ) ) => 28.89/4.41 ( 28.89/4.41 subset @ 28.89/4.41 X650 @ 28.89/4.41 X648 ) ) ) => 28.89/4.41 ( 28.89/4.41 ![ 28.89/4.41 X652:$i, 28.89/4.41 X654:$i, 28.89/4.41 X656:$i]: 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X656 @ 28.89/4.41 ( 28.89/4.41 dsetconstr 28.89/4.41 @ 28.89/4.41 X652 @ 28.89/4.41 ( 28.89/4.41 ^[ 28.89/4.41 V_21:$i]: 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 V_21 @ 28.89/4.41 X654 ) ) ) ) => 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 X656 @ 28.89/4.41 X654 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 28.89/4.41 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 28.89/4.41 thf(zip_derived_cl2052, plain, 28.89/4.41 (~ (((((!!) @ (^[Y0 : $i]: 28.89/4.41 (((!!) @ (^[Y1 : $i]: 28.89/4.41 (((((!!) @ (^[Y2 : $i]: 28.89/4.41 (((in @ Y2 @ Y0) <=> (in @ 28.89/4.41 Y2 @ Y1)))))) => 28.89/4.41 (((Y0) = (Y1))))))))))) => 28.89/4.41 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 28.89/4.41 (((((!!) @ (^[Y0 : $i]: 28.89/4.41 (((!!) @ (^[Y1 : $i]: 28.89/4.41 (((!!) @ (^[Y2 : $i]: 28.89/4.41 (((in @ Y2 @ 28.89/4.41 (setadjoin @ Y0 @ Y1)) <=> 28.89/4.41 (((in @ Y2 @ Y1) | 28.89/4.41 (((Y2) = (Y0)))))))))))))))) => 28.89/4.41 (((((!!) @ (^[Y0 : $i]: 28.89/4.41 (((!!) @ (^[Y1 : $i]: 28.89/4.41 (((in @ Y1 @ (powerset @ Y0)) <=> 28.89/4.41 (((!!) @ (^[Y2 : $i]: 28.89/4.41 (((in @ Y2 @ Y1) => 28.89/4.41 (in @ Y2 @ Y0)))))))))))))) => 28.89/4.41 (((((!!) @ (^[Y0 : $i]: 28.89/4.41 (((!!) @ (^[Y1 : $i]: 28.89/4.41 (((in @ Y1 @ (setunion @ Y0)) <=> 28.89/4.41 (((??) @ (^[Y2 : $i]: 28.89/4.41 (((in @ Y1 @ Y2) & 28.89/4.41 (in @ Y2 @ Y0)))))))))))))) => 28.89/4.41 (((in @ emptyset @ omega) => 28.89/4.41 (((((!!) @ (^[Y0 : $i]: 28.89/4.41 (((in @ Y0 @ omega) => (in @ 28.89/4.41 (setadjoin @ Y0 @ Y0) @ omega)))))) => 28.89/4.41 (((((!!) @ (^[Y0 : $i]: 28.89/4.41 (((((((!!) @ (^[Y1 : $i]: 28.89/4.41 (((((in @ Y1 @ Y0) & 28.89/4.41 (in @ Y1 @ omega))) => 28.89/4.41 (in @ 28.89/4.41 (setadjoin @ Y1 @ Y1) @ 28.89/4.41 Y0)))))) & 28.89/4.41 (in @ emptyset @ Y0))) => 28.89/4.41 (((!!) @ (^[Y1 : $i]: 28.89/4.41 (((in @ Y1 @ omega) => 28.89/4.41 (in @ Y1 @ Y0))))))))))) => 28.89/4.41 (((((!!) @ (^[Y0 : $i > $i > $o]: 28.89/4.41 (((!!) @ (^[Y1 : $i]: 28.89/4.41 (((((!!) @ (^[Y2 : $i]: 28.89/4.41 (((in @ Y2 @ 28.89/4.41 Y1) => 28.89/4.41 (((??) @ ( 28.89/4.41 ^[Y3 : $i]: 28.89/4.41 (( 28.89/4.41 (Y0 @ 28.89/4.41 Y2 @ 28.89/4.41 Y3) & 28.89/4.41 (( 28.89/4.41 (!!) @ ( 28.89/4.41 ^[Y4 : $i]: 28.89/4.41 (( 28.89/4.41 (Y0 @ 28.89/4.41 Y2 @ 28.89/4.41 Y4) => 28.89/4.41 (( 28.89/4.41 (Y3) = 28.89/4.41 (Y4)))))))))))))))))) => 28.89/4.41 (((??) @ (^[Y2 : $i]: 28.89/4.41 (((!!) @ ( 28.89/4.41 ^[Y3 : $i]: 28.89/4.41 (( 28.89/4.41 (in @ 28.89/4.41 Y3 @ 28.89/4.41 Y2) <=> 28.89/4.41 (( 28.89/4.41 (??) @ ( 28.89/4.41 ^[Y4 : $i]: 28.89/4.41 (( 28.89/4.41 (in @ 28.89/4.41 Y4 @ 28.89/4.41 Y1) & 28.89/4.41 (Y0 @ 28.89/4.41 Y4 @ Y3)))))))))))))))))))))) => 28.89/4.41 (((((!!) @ (^[Y0 : $i]: 28.89/4.41 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 28.89/4.41 (((??) @ (^[Y1 : $i]: 28.89/4.41 (((in @ Y1 @ Y0) & 28.89/4.41 (((~) @ (((??) @ ( 28.89/4.41 ^[Y2 : $i]: 28.89/4.41 (( 28.89/4.41 (in @ 28.89/4.41 Y2 @ 28.89/4.41 Y1) & 28.89/4.41 (in @ 28.89/4.41 Y2 @ Y0)))))))))))))))))) => 28.89/4.41 (((((!!) @ (^[Y0 : $i]: 28.89/4.41 (((??) @ (^[Y1 : $i]: 28.89/4.41 (((((!!) @ (^[Y2 : $i]: 28.89/4.41 (( 28.89/4.41 (in @ 28.89/4.41 Y2 @ 28.89/4.41 Y1) => 28.89/4.41 (( 28.89/4.41 (!!) @ ( 28.89/4.41 ^[Y3 : $i]: 28.89/4.41 (( 28.89/4.41 (in @ 28.89/4.41 Y3 @ 28.89/4.41 Y2) => 28.89/4.41 (in @ 28.89/4.41 Y3 @ Y0))))))))))) & 28.89/4.41 (((!!) @ (^[Y2 : $i]: 28.89/4.41 (( 28.89/4.41 (!!) @ ( 28.89/4.41 ^[Y3 : $i]: 28.89/4.41 (( 28.89/4.41 (( 28.89/4.41 (in @ 28.89/4.41 Y3 @ 28.89/4.41 Y0) & 28.89/4.41 (in @ 28.89/4.41 Y2 @ Y0))) => 28.89/4.41 (( 28.89/4.41 (( 28.89/4.41 (!!) @ ( 28.89/4.41 ^[Y4 : $i]: 28.89/4.41 (( 28.89/4.41 (in @ 28.89/4.41 Y4 @ 28.89/4.41 Y1) => 28.89/4.41 (( 28.89/4.41 (in @ 28.89/4.41 Y2 @ 28.89/4.41 Y4) <=> 28.89/4.41 (in @ 28.89/4.41 Y3 @ Y4)))))))) => 28.89/4.41 (( 28.89/4.41 (Y2) = 28.89/4.41 (Y3))))))))))))) & 28.89/4.41 (((!!) @ (^[Y2 : $i]: 28.89/4.41 (( 28.89/4.41 (!!) @ ( 28.89/4.41 ^[Y3 : $i]: 28.89/4.41 (( 28.89/4.41 (( 28.89/4.41 (in @ 28.89/4.41 Y3 @ 28.89/4.41 Y1) & 28.89/4.41 (in @ 28.89/4.41 Y2 @ Y1))) => 28.89/4.41 (( 28.89/4.41 (( 28.89/4.41 (!!) @ ( 28.89/4.41 ^[Y4 : $i]: 28.89/4.41 (( 28.89/4.41 (in @ 28.89/4.41 Y4 @ 28.89/4.41 Y3) => 28.89/4.41 (in @ 28.89/4.41 Y4 @ Y2)))))) | 28.89/4.41 (( 28.89/4.41 (!!) @ ( 28.89/4.41 ^[Y4 : $i]: 28.89/4.41 (( 28.89/4.41 (in @ 28.89/4.41 Y4 @ 28.89/4.41 Y2) => 28.89/4.41 (in @ 28.89/4.41 Y4 @ Y3)))))))))))))))) & 28.89/4.41 (((!!) @ (^[Y2 : $i]: 28.89/4.41 (( 28.89/4.41 (( 28.89/4.41 (( 28.89/4.41 (??) @ ( 28.89/4.41 ^[Y3 : $i]: 28.89/4.41 (in @ 28.89/4.41 Y3 @ Y2)))) & 28.89/4.41 (( 28.89/4.41 (!!) @ ( 28.89/4.41 ^[Y3 : $i]: 28.89/4.41 (( 28.89/4.41 (in @ 28.89/4.41 Y3 @ 28.89/4.41 Y2) => 28.89/4.41 (in @ 28.89/4.41 Y3 @ Y0)))))))) => 28.89/4.41 (( 28.89/4.41 (??) @ ( 28.89/4.41 ^[Y3 : $i]: 28.89/4.41 (( 28.89/4.41 (??) @ ( 28.89/4.41 ^[Y4 : $i]: 28.89/4.41 (( 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 Y3 @ Y1) & 28.89/4.41 ( 28.89/4.41 in @ 28.89/4.41 Y4 @ Y2) & 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 (~) @ ( 28.89/4.41 ( 28.89/4.41 (??) @ ( 28.89/4.41 ^[Y5 : $i]: 28.89/4.41 (( 28.89/4.41 (in @ 28.89/4.41 Y5 @ 28.89/4.41 Y3) & 28.89/4.41 (in @ 28.89/4.41 Y5 @ Y2)))))))) & 28.89/4.41 ( 28.89/4.41 ( 28.89/4.41 (!!) @ ( 28.89/4.41 ^[Y5 : $i]: 28.89/4.41 (( 28.89/4.41 (in @ 28.89/4.41 Y5 @ 28.89/4.41 Y1) => 28.89/4.41 (( 28.89/4.41 (in @ 28.89/4.41 Y4 @ 28.89/4.41 Y5) | 28.89/4.41 (( 28.89/4.41 (!!) @ ( 28.89/4.41 ^[Y6 : $i]: 28.89/4.41 (( 28.89/4.41 (in @ 28.89/4.41 Y6 @ 28.89/4.41 Y5) => 28.89/4.41 (in @ 28.89/4.41 Y6 @ Y3)))))))))))))))))))))))))))))))))) => 28.89/4.41 (((((!!) @ (^[Y0 : $i > $o]: 28.89/4.41 (((((??) @ (^[Y1 : $i]: 28.89/4.41 (((Y0 @ Y1) & 28.89/4.41 (((!!) @ ( 28.89/4.41 ^[Y2 : $i]: 28.89/4.41 (((Y0 @ Y2) => 28.89/4.41 (((Y1) = 28.89/4.41 (Y2))))))))))))) => 28.89/4.41 (Y0 @ (descr @ Y0))))))) => 28.89/4.41 (((((!!) @ (^[Y0 : $i]: 28.89/4.41 (((!!) @ (^[Y1 : $i > $o]: 28.89/4.41 (((!!) @ (^[Y2 : $i]: 28.89/4.41 (( 28.89/4.41 (in @ 28.89/4.41 Y2 @ 28.89/4.41 Y0) => 28.89/4.41 (( 28.89/4.41 (Y1 @ 28.89/4.41 Y2) => 28.89/4.41 (in @ 28.89/4.41 Y2 @ 28.89/4.41 ( 28.89/4.41 dsetconstr @ 28.89/4.41 Y0 @ Y1))))))))))))))) => 28.89/4.41 (((((!!) @ (^[Y0 : $i]: 28.89/4.41 (((!!) @ (^[Y1 : $i > $o]: 28.89/4.41 (((!!) @ ( 28.89/4.41 ^[Y2 : $i]: 28.89/4.41 (((in @ Y2 @ 28.89/4.41 (dsetconstr @ 28.89/4.41 Y0 @ Y1)) => 28.89/4.41 (in @ Y2 @ 28.89/4.41 Y0)))))))))))) => 28.89/4.41 (((((!!) @ (^[Y0 : $i]: 28.89/4.41 (((!!) @ (^[Y1 : $i > $o]: 28.89/4.41 (((!!) @ ( 28.89/4.41 ^[Y2 : $i]: 28.89/4.41 (((in @ 28.89/4.41 Y2 @ 28.89/4.41 (dsetconstr @ 28.89/4.41 Y0 @ Y1)) => 28.89/4.41 (Y1 @ Y2)))))))))))) => 28.89/4.41 (((((!!) @ (^[Y0 : $i > $o]: 28.89/4.41 (((((??) @ (^[Y1 : $i]: 28.89/4.41 (((Y0 @ 28.89/4.41 Y1) & 28.89/4.41 (( 28.89/4.41 (!!) @ ( 28.89/4.41 ^[Y2 : $i]: 28.89/4.41 (( 28.89/4.41 (Y0 @ 28.89/4.41 Y2) => 28.89/4.41 (( 28.89/4.41 (Y1) = 28.89/4.41 (Y2))))))))))))) => 28.89/4.41 (((??) @ (^[Y1 : $i]: 28.89/4.41 (((Y0 @ 28.89/4.41 Y1) & 28.89/4.41 (( 28.89/4.41 (!!) @ ( 28.89/4.41 ^[Y2 : $i]: 28.89/4.41 (( 28.89/4.41 (Y0 @ 28.89/4.41 Y2) => 28.89/4.41 (( 28.89/4.41 (Y1) = 28.89/4.41 (Y2)))))))))))))))))) => 28.89/4.41 (((((!!) @ (^[Y0 : $o]: 28.89/4.41 (((!!) @ (^[Y1 : $i]: 28.89/4.41 (((in @ 28.89/4.41 Y1 @ 28.89/4.41 (prop2set @ 28.89/4.41 Y0)) => 28.89/4.41 (Y0))))))))) => 28.89/4.41 (((((!!) @ (^[Y0 : $i]: 28.89/4.41 (((in @ Y0 @ 28.89/4.41 emptyset) => 28.89/4.41 (((!!) @ (^[Y1 : $o]: 28.89/4.41 (Y1))))))))) => 28.89/4.41 (((((!!) @ (^[Y0 : $i]: 28.89/4.41 (((~) @ (in @ Y0 @ 28.89/4.41 emptyset)))))) => 28.89/4.41 (((((!!) @ (^[Y0 : $i]: 28.89/4.41 (((~) @ (in @ 28.89/4.41 Y0 @ 28.89/4.41 emptyset)))))) => 28.89/4.41 (((((!!) @ (^[Y0 : $i > $o]: 28.89/4.41 (((((??) @ ( 28.89/4.41 ^[Y1 : $i]: 28.89/4.41 (( 28.89/4.41 (Y0 @ 28.89/4.41 Y1) & 28.89/4.41 (( 28.89/4.41 (!!) @ ( 28.89/4.41 ^[Y2 : $i]: 28.89/4.41 (( 28.89/4.41 (Y0 @ 28.89/4.41 Y2) => 28.89/4.41 (( 28.89/4.41 (Y1) = 28.89/4.41 (Y2))))))))))))) => 28.89/4.41 (((??) @ ( 28.89/4.41 ^[Y1 : $i]: 28.89/4.41 (Y0 @ Y1))))))))) => 28.89/4.41 (((((!!) @ (^[Y0 : $i]: 28.89/4.41 (((!!) @ ( 28.89/4.41 ^[Y1 : $i]: 28.89/4.41 (( 28.89/4.41 (( 28.89/4.41 (!!) @ ( 28.89/4.41 ^[Y2 : $i]: 28.89/4.41 (( 28.89/4.41 (in @ 28.89/4.41 Y2 @ 28.89/4.41 Y0) => 28.89/4.41 (in @ 28.89/4.41 Y2 @ Y1)))))) => 28.89/4.41 (( 28.89/4.41 (( 28.89/4.41 (!!) @ ( 28.89/4.41 ^[Y2 : $i]: 28.89/4.41 (( 28.89/4.41 (in @ 28.89/4.41 Y2 @ 28.89/4.41 Y1) => 28.89/4.41 (in @ 28.89/4.41 Y2 @ Y0)))))) => 28.89/4.41 (( 28.89/4.41 (Y0) = 28.89/4.41 (Y1))))))))))))) => 28.89/4.41 (((((!!) @ (^[Y0 : $i]: 28.89/4.41 (((( 28.89/4.41 (!!) @ ( 28.89/4.41 ^[Y1 : $i]: 28.89/4.41 (( 28.89/4.41 (~) @ ( 28.89/4.41 in @ 28.89/4.41 Y1 @ Y0)))))) => 28.89/4.41 (( 28.89/4.41 (Y0) = 28.89/4.41 (emptyset)))))))) => 28.89/4.41 (((((!!) @ (^[Y0 : $i]: 28.89/4.41 (( 28.89/4.41 (( 28.89/4.41 (!!) @ ( 28.89/4.41 ^[Y1 : $i]: 28.89/4.41 (( 28.89/4.41 (~) @ ( 28.89/4.41 in @ 28.89/4.41 Y1 @ Y0)))))) => 28.89/4.41 (( 28.89/4.41 (Y0) = 28.89/4.41 (emptyset)))))))) => 28.89/4.41 (((((!!) @ (^[Y0 : $i]: 28.89/4.41 (( 28.89/4.41 (!!) @ ( 28.89/4.41 ^[Y1 : $i > $o]: 28.89/4.41 (( 28.89/4.41 (!!) @ ( 28.89/4.41 ^[Y2 : $i]: 28.89/4.41 (( 28.89/4.41 (in @ 28.89/4.41 Y2 @ 28.89/4.41 Y0) => 28.89/4.41 (( 28.89/4.41 (in @ 28.89/4.41 Y2 @ 28.89/4.41 ( 28.89/4.41 dsetconstr @ 28.89/4.41 Y0 @ Y1)) <=> 28.89/4.41 (Y1 @ Y2)))))))))))))) => 28.89/4.41 (((((!!) @ ( 28.89/4.41 ^[Y0 : $i]: 28.89/4.41 (((((Y0) != 28.89/4.41 (emptyset))) => 28.89/4.41 (((??) @ ( 28.89/4.41 ^[Y1 : $i]: 28.89/4.41 (in @ 28.89/4.41 Y1 @ Y0))))))))) => 28.89/4.41 (((((!!) @ ( 28.89/4.41 ^[Y0 : $i]: 28.89/4.41 (((!!) @ ( 28.89/4.41 ^[Y1 : $i > $o]: 28.89/4.41 (( 28.89/4.41 (!!) @ ( 28.89/4.41 ^[Y2 : $i]: 28.89/4.41 (( 28.89/4.41 (in @ 28.89/4.41 Y2 @ 28.89/4.41 Y0) => 28.89/4.41 (( 28.89/4.41 (Y1 @ 28.89/4.41 Y2) => 28.89/4.41 (( 28.89/4.41 (dsetconstr @ 28.89/4.41 Y0 @ 28.89/4.41 Y1) != 28.89/4.41 (emptyset)))))))))))))))) => 28.89/4.41 (((((!!) @ ( 28.89/4.41 ^[Y0 : $i]: 28.89/4.41 (( 28.89/4.41 (( 28.89/4.41 (??) @ ( 28.89/4.41 ^[Y1 : $i]: 28.89/4.41 (in @ 28.89/4.41 Y1 @ Y0)))) => 28.89/4.41 (( 28.89/4.41 (Y0) != 28.89/4.41 (emptyset)))))))) => 28.89/4.41 (((((!!) @ ( 28.89/4.41 ^[Y0 : $i]: 28.89/4.41 (( 28.89/4.41 (!!) @ ( 28.89/4.41 ^[Y1 : $i]: 28.89/4.41 (in @ 28.89/4.41 Y0 @ 28.89/4.41 (setadjoin @ 28.89/4.41 Y0 @ Y1)))))))) => 28.89/4.41 (((in @ 28.89/4.41 emptyset @ 28.89/4.41 (setadjoin @ 28.89/4.41 emptyset @ 28.89/4.41 emptyset)) => 28.89/4.41 (( 28.89/4.41 (( 28.89/4.41 (!!) @ ( 28.89/4.41 ^[Y0 : $i]: 28.89/4.41 (( 28.89/4.41 (!!) @ ( 28.89/4.41 ^[Y1 : $i]: 28.89/4.41 (( 28.89/4.41 (!!) @ ( 28.89/4.41 ^[Y2 : $i]: 28.89/4.41 (( 28.89/4.41 (in @ 28.89/4.41 Y2 @ 28.89/4.41 Y1) => 28.89/4.41 (in @ 28.89/4.41 Y2 @ 28.89/4.41 ( 28.89/4.41 setadjoin @ 28.89/4.41 Y0 @ Y1))))))))))))) => 28.89/4.41 (( 28.89/4.41 (( 28.89/4.41 (!!) @ ( 28.89/4.41 ^[Y0 : $i]: 28.89/4.41 (( 28.89/4.41 (!!) @ ( 28.89/4.41 ^[Y1 : $i]: 28.89/4.41 (( 28.89/4.41 (!!) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y2 @ 28.89/4.42 ( 28.89/4.42 setadjoin @ 28.89/4.42 Y0 @ Y1)) => 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y3 : $o]: 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (Y2) = 28.89/4.42 (Y0))) => 28.89/4.42 (Y3))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y2 @ 28.89/4.42 Y1) => 28.89/4.42 (Y3))) => 28.89/4.42 (Y3))))))))))))))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y1 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y2 @ 28.89/4.42 ( 28.89/4.42 setadjoin @ 28.89/4.42 Y0 @ Y1)) => 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y2 @ 28.89/4.42 Y1) | 28.89/4.42 (( 28.89/4.42 (Y2) = 28.89/4.42 (Y0)))))))))))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i]: 28.89/4.42 (( 28.89/4.42 (dsetconstr @ 28.89/4.42 Y0 @ 28.89/4.42 ( 28.89/4.42 ^[Y1 : $i]: 28.89/4.42 ($true))) = 28.89/4.42 (Y0)))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y1 : $i]: 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y2 @ 28.89/4.42 Y1) => 28.89/4.42 (in @ 28.89/4.42 Y2 @ Y0)))))) => 28.89/4.42 (in @ 28.89/4.42 Y1 @ 28.89/4.42 ( 28.89/4.42 powerset @ 28.89/4.42 Y0)))))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i]: 28.89/4.42 (in @ 28.89/4.42 emptyset @ 28.89/4.42 (powerset @ 28.89/4.42 Y0))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i]: 28.89/4.42 (in @ 28.89/4.42 emptyset @ 28.89/4.42 (powerset @ 28.89/4.42 Y0))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y1 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y1 @ 28.89/4.42 ( 28.89/4.42 powerset @ 28.89/4.42 Y0)) => 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y2 @ 28.89/4.42 Y1) => 28.89/4.42 (in @ 28.89/4.42 Y2 @ Y0)))))))))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y1 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y1 @ 28.89/4.42 Y2) => 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y2 @ 28.89/4.42 Y0) => 28.89/4.42 (in @ 28.89/4.42 Y1 @ 28.89/4.42 ( 28.89/4.42 setunion @ 28.89/4.42 Y0))))))))))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y1 : $i]: 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y1 @ 28.89/4.42 ( 28.89/4.42 setunion @ 28.89/4.42 Y0)) => 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y2 : $o]: 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y3 : $i]: 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y1 @ 28.89/4.42 Y3) => 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y3 @ 28.89/4.42 Y0) => 28.89/4.42 (Y2)))))))) => 28.89/4.42 (Y2)))))))))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y1 : $i]: 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y1 @ 28.89/4.42 Y0) => 28.89/4.42 (in @ 28.89/4.42 Y1 @ 28.89/4.42 ( 28.89/4.42 powerset @ 28.89/4.42 ( 28.89/4.42 setunion @ 28.89/4.42 Y0))))))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i > $o]: 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (??) @ ( 28.89/4.42 ^[Y1 : $i]: 28.89/4.42 (( 28.89/4.42 (Y0 @ 28.89/4.42 Y1) & 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (Y0 @ 28.89/4.42 Y2) => 28.89/4.42 (( 28.89/4.42 (Y1) = 28.89/4.42 (Y2))))))))))))) => 28.89/4.42 (( 28.89/4.42 (??) @ ( 28.89/4.42 ^[Y1 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (Y0 @ 28.89/4.42 Y2) <=> 28.89/4.42 (( 28.89/4.42 (Y2) = 28.89/4.42 (Y1)))))))))))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i]: 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (Y0) != 28.89/4.42 (emptyset))) => 28.89/4.42 (( 28.89/4.42 (??) @ ( 28.89/4.42 ^[Y1 : $i]: 28.89/4.42 (in @ 28.89/4.42 Y1 @ Y0))))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y1 : $i]: 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y0 @ 28.89/4.42 ( 28.89/4.42 setadjoin @ 28.89/4.42 Y1 @ 28.89/4.42 emptyset)) => 28.89/4.42 (( 28.89/4.42 (Y0) = 28.89/4.42 (Y1))))))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y1 : $i]: 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (Y0) != 28.89/4.42 (Y1))) => 28.89/4.42 (( 28.89/4.42 (~) @ ( 28.89/4.42 in @ 28.89/4.42 Y1 @ 28.89/4.42 ( 28.89/4.42 setadjoin @ 28.89/4.42 Y0 @ 28.89/4.42 emptyset)))))))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y1 : $i]: 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (Y0) = 28.89/4.42 (Y1))) => 28.89/4.42 (in @ 28.89/4.42 Y0 @ 28.89/4.42 ( 28.89/4.42 setadjoin @ 28.89/4.42 Y1 @ 28.89/4.42 emptyset)))))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y1 : $i]: 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y0 @ 28.89/4.42 ( 28.89/4.42 setadjoin @ 28.89/4.42 Y1 @ 28.89/4.42 emptyset)) => 28.89/4.42 (in @ 28.89/4.42 Y1 @ 28.89/4.42 ( 28.89/4.42 setadjoin @ 28.89/4.42 Y0 @ 28.89/4.42 emptyset)))))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y1 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y2 @ 28.89/4.42 ( 28.89/4.42 setadjoin @ 28.89/4.42 Y0 @ 28.89/4.42 ( 28.89/4.42 setadjoin @ 28.89/4.42 Y1 @ 28.89/4.42 emptyset))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (Y2) = 28.89/4.42 (Y1))) | 28.89/4.42 (( 28.89/4.42 (Y2) = 28.89/4.42 (Y0)))))))))))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y1 : $i]: 28.89/4.42 (in @ 28.89/4.42 Y0 @ 28.89/4.42 (setadjoin @ 28.89/4.42 Y0 @ 28.89/4.42 (setadjoin @ 28.89/4.42 Y1 @ 28.89/4.42 emptyset))))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y1 : $i]: 28.89/4.42 (in @ 28.89/4.42 Y1 @ 28.89/4.42 (setadjoin @ 28.89/4.42 Y0 @ 28.89/4.42 (setadjoin @ 28.89/4.42 Y1 @ 28.89/4.42 emptyset))))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y1 : $i > $o]: 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (??) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y2 @ 28.89/4.42 Y0) & 28.89/4.42 (Y1 @ Y2)))))) => 28.89/4.42 (( 28.89/4.42 (dsetconstr @ 28.89/4.42 Y0 @ 28.89/4.42 Y1) != 28.89/4.42 (emptyset))))))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i > $o]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y1 : $i]: 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y1 @ 28.89/4.42 emptyset) => 28.89/4.42 (Y0 @ Y1))))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y1 : $i > $o]: 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (~) @ ( 28.89/4.42 ( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y2 @ 28.89/4.42 Y0) => 28.89/4.42 (Y1 @ Y2)))))))) => 28.89/4.42 (( 28.89/4.42 (??) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y2 @ 28.89/4.42 Y0) & 28.89/4.42 (( 28.89/4.42 (~) @ ( 28.89/4.42 Y1 @ Y2)))))))))))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y1 : $i > $o]: 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y2 @ 28.89/4.42 Y0) => 28.89/4.42 (( 28.89/4.42 (~) @ ( 28.89/4.42 Y1 @ Y2)))))))) => 28.89/4.42 (( 28.89/4.42 (~) @ ( 28.89/4.42 ( 28.89/4.42 (??) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y2 @ 28.89/4.42 Y0) & 28.89/4.42 (Y1 @ Y2)))))))))))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y1 : $i > $o]: 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (~) @ ( 28.89/4.42 ( 28.89/4.42 (??) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y2 @ 28.89/4.42 Y0) & 28.89/4.42 (Y1 @ Y2)))))))) => 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y2 @ 28.89/4.42 Y0) => 28.89/4.42 (( 28.89/4.42 (~) @ ( 28.89/4.42 Y1 @ Y2)))))))))))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y1 : $i > $o]: 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (??) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y2 @ 28.89/4.42 Y0) & 28.89/4.42 (( 28.89/4.42 (~) @ ( 28.89/4.42 Y1 @ Y2)))))))) => 28.89/4.42 (( 28.89/4.42 (~) @ ( 28.89/4.42 ( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y2 @ 28.89/4.42 Y0) => 28.89/4.42 (Y1 @ Y2)))))))))))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $o]: 28.89/4.42 (( 28.89/4.42 (Y0) => 28.89/4.42 (in @ 28.89/4.42 emptyset @ 28.89/4.42 ( 28.89/4.42 prop2set @ 28.89/4.42 Y0))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $o]: 28.89/4.42 (( 28.89/4.42 (Y0) => 28.89/4.42 (set2prop @ 28.89/4.42 ( 28.89/4.42 prop2set @ 28.89/4.42 Y0))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y1 : $i > $o]: 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (~) @ ( 28.89/4.42 ( 28.89/4.42 (??) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y2 @ 28.89/4.42 Y0) & 28.89/4.42 (Y1 @ Y2)))))))) => 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y2 @ 28.89/4.42 Y0) => 28.89/4.42 (( 28.89/4.42 (~) @ ( 28.89/4.42 Y1 @ Y2)))))))))))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y1 : $i > $o]: 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (~) @ ( 28.89/4.42 ( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y2 @ 28.89/4.42 Y0) => 28.89/4.42 (Y1 @ Y2)))))))) => 28.89/4.42 (( 28.89/4.42 (??) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y2 @ 28.89/4.42 Y0) & 28.89/4.42 (( 28.89/4.42 (~) @ ( 28.89/4.42 Y1 @ Y2)))))))))))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i > $o]: 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (??) @ ( 28.89/4.42 ^[Y1 : $i]: 28.89/4.42 (( 28.89/4.42 (Y0 @ 28.89/4.42 Y1) & 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (Y0 @ 28.89/4.42 Y2) => 28.89/4.42 (( 28.89/4.42 (Y1) = 28.89/4.42 (Y2))))))))))))) => 28.89/4.42 (( 28.89/4.42 (??) @ ( 28.89/4.42 ^[Y1 : $i]: 28.89/4.42 (( 28.89/4.42 (Y0 @ 28.89/4.42 Y1) & 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (Y0 @ 28.89/4.42 Y2) => 28.89/4.42 (( 28.89/4.42 (Y1) = 28.89/4.42 (Y2)))))))))))))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i > $o]: 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (??) @ ( 28.89/4.42 ^[Y1 : $i]: 28.89/4.42 (Y0 @ Y1)))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y1 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (Y0 @ 28.89/4.42 Y1) => 28.89/4.42 (( 28.89/4.42 (Y0 @ 28.89/4.42 Y2) => 28.89/4.42 (( 28.89/4.42 (Y1) = 28.89/4.42 (Y2))))))))))))) => 28.89/4.42 (( 28.89/4.42 (??) @ ( 28.89/4.42 ^[Y1 : $i]: 28.89/4.42 (( 28.89/4.42 (Y0 @ 28.89/4.42 Y1) & 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (Y0 @ 28.89/4.42 Y2) => 28.89/4.42 (( 28.89/4.42 (Y1) = 28.89/4.42 (Y2)))))))))))))))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i > $o]: 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (??) @ ( 28.89/4.42 ^[Y1 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (Y0 @ 28.89/4.42 Y2) <=> 28.89/4.42 (( 28.89/4.42 (Y2) = 28.89/4.42 (Y1))))))))))) => 28.89/4.42 (( 28.89/4.42 (??) @ ( 28.89/4.42 ^[Y1 : $i]: 28.89/4.42 (( 28.89/4.42 (Y0 @ 28.89/4.42 Y1) & 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (Y0 @ 28.89/4.42 Y2) => 28.89/4.42 (( 28.89/4.42 (Y1) = 28.89/4.42 (Y2)))))))))))))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y1 : $i]: 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (Y0) = 28.89/4.42 (Y1))) => 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y3 : $i]: 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (Y2) = 28.89/4.42 (Y3))) => 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y2 @ 28.89/4.42 Y0) => 28.89/4.42 (in @ 28.89/4.42 Y3 @ Y1))))))))))))))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y1 : $i]: 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (Y0) = 28.89/4.42 (Y1))) => 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y3 : $i]: 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (Y2) = 28.89/4.42 (Y3))) => 28.89/4.42 (( 28.89/4.42 (in @ 28.89/4.42 Y2 @ 28.89/4.42 Y0) <=> 28.89/4.42 (in @ 28.89/4.42 Y3 @ Y1))))))))))))))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i > $o]: 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (??) @ ( 28.89/4.42 ^[Y1 : $i]: 28.89/4.42 (( 28.89/4.42 (Y0 @ 28.89/4.42 Y1) & 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (Y0 @ 28.89/4.42 Y2) => 28.89/4.42 (( 28.89/4.42 (Y1) = 28.89/4.42 (Y2))))))))))))) => 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y1 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (Y0 @ 28.89/4.42 Y1) => 28.89/4.42 (( 28.89/4.42 (Y0 @ 28.89/4.42 Y2) => 28.89/4.42 (( 28.89/4.42 (Y1) = 28.89/4.42 (Y2)))))))))))))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y0 : $i > $o]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y1 : $i > $o]: 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y3 : $i]: 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (Y2) = 28.89/4.42 (Y3))) => 28.89/4.42 (( 28.89/4.42 (Y0 @ 28.89/4.42 Y2) <=> 28.89/4.42 (Y1 @ Y3))))))))))) => 28.89/4.42 (( 28.89/4.42 (( 28.89/4.42 (??) @ ( 28.89/4.42 ^[Y2 : $i]: 28.89/4.42 (( 28.89/4.42 (Y0 @ 28.89/4.42 Y2) & 28.89/4.42 (( 28.89/4.42 (!!) @ ( 28.89/4.42 ^[Y3 : $i]: 28.89/4.42 (( 28.89/4.43 (Y0 @ 28.89/4.43 Y3) => 28.89/4.43 (( 28.89/4.43 (Y2) = 28.89/4.43 (Y3))))))))))))) <=> 28.89/4.43 (( 28.89/4.43 (??) @ ( 28.89/4.43 ^[Y2 : $i]: 28.89/4.43 (( 28.89/4.43 (Y1 @ 28.89/4.43 Y2) & 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y3 : $i]: 28.89/4.43 (( 28.89/4.43 (Y1 @ 28.89/4.43 Y3) => 28.89/4.43 (( 28.89/4.43 (Y2) = 28.89/4.43 (Y3))))))))))))))))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (emptyset) = 28.89/4.43 (emptyset))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (Y0) = 28.89/4.43 (Y1))) => 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y2 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y3 : $i]: 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (Y2) = 28.89/4.43 (Y3))) => 28.89/4.43 (( 28.89/4.43 (setadjoin @ 28.89/4.43 Y0 @ 28.89/4.43 Y2) = 28.89/4.43 (setadjoin @ 28.89/4.43 Y1 @ Y3))))))))))))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (Y0) = 28.89/4.43 (Y1))) => 28.89/4.43 (( 28.89/4.43 (powerset @ 28.89/4.43 Y0) = 28.89/4.43 (powerset @ 28.89/4.43 Y1))))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (Y0) = 28.89/4.43 (Y1))) => 28.89/4.43 (( 28.89/4.43 (setunion @ 28.89/4.43 Y0) = 28.89/4.43 (setunion @ 28.89/4.43 Y1))))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (omega) = 28.89/4.43 (omega))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i > $o]: 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (??) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (Y0 @ 28.89/4.43 Y1) & 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y2 : $i]: 28.89/4.43 (( 28.89/4.43 (Y0 @ 28.89/4.43 Y2) => 28.89/4.43 (( 28.89/4.43 (Y1) = 28.89/4.43 (Y2))))))))))))) => 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y2 : $i]: 28.89/4.43 (( 28.89/4.43 (Y0 @ 28.89/4.43 Y1) => 28.89/4.43 (( 28.89/4.43 (Y0 @ 28.89/4.43 Y2) => 28.89/4.43 (( 28.89/4.43 (Y1) = 28.89/4.43 (Y2)))))))))))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i > $o]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i > $o]: 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y2 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y3 : $i]: 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (Y2) = 28.89/4.43 (Y3))) => 28.89/4.43 (( 28.89/4.43 (Y0 @ 28.89/4.43 Y2) <=> 28.89/4.43 (Y1 @ Y3))))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (??) @ ( 28.89/4.43 ^[Y2 : $i]: 28.89/4.43 (( 28.89/4.43 (Y0 @ 28.89/4.43 Y2) & 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y3 : $i]: 28.89/4.43 (( 28.89/4.43 (Y0 @ 28.89/4.43 Y3) => 28.89/4.43 (( 28.89/4.43 (Y2) = 28.89/4.43 (Y3))))))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (??) @ ( 28.89/4.43 ^[Y2 : $i]: 28.89/4.43 (( 28.89/4.43 (Y1 @ 28.89/4.43 Y2) & 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y3 : $i]: 28.89/4.43 (( 28.89/4.43 (Y1 @ 28.89/4.43 Y3) => 28.89/4.43 (( 28.89/4.43 (Y2) = 28.89/4.43 (Y3))))))))))))) => 28.89/4.43 (( 28.89/4.43 (descr @ 28.89/4.43 Y0) = 28.89/4.43 (descr @ 28.89/4.43 Y1))))))))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (Y0) = 28.89/4.43 (Y1))) => 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y2 : $i > $o]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y3 : $i > $o]: 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y4 : $i]: 28.89/4.43 (( 28.89/4.43 (in @ 28.89/4.43 Y4 @ 28.89/4.43 Y0) => 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y5 : $i]: 28.89/4.43 (( 28.89/4.43 (in @ 28.89/4.43 Y5 @ 28.89/4.43 Y1) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (Y4) = 28.89/4.43 (Y5))) => 28.89/4.43 (( 28.89/4.43 (Y2 @ 28.89/4.43 Y4) <=> 28.89/4.43 (Y3 @ Y5))))))))))))))) => 28.89/4.43 (( 28.89/4.43 (dsetconstr @ 28.89/4.43 Y0 @ 28.89/4.43 Y2) = 28.89/4.43 (dsetconstr @ 28.89/4.43 Y1 @ Y3))))))))))))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y2 : $i]: 28.89/4.43 (( 28.89/4.43 (in @ 28.89/4.43 Y2 @ 28.89/4.43 Y0) => 28.89/4.43 (in @ 28.89/4.43 Y2 @ Y1)))))) => 28.89/4.43 (subset @ 28.89/4.43 Y0 @ Y1))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (Y0) = 28.89/4.43 (Y1))) => 28.89/4.43 (subset @ 28.89/4.43 Y1 @ Y0))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (Y0) = 28.89/4.43 (Y1))) => 28.89/4.43 (subset @ 28.89/4.43 Y0 @ Y1))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y2 : $i]: 28.89/4.43 (( 28.89/4.43 (in @ 28.89/4.43 Y2 @ 28.89/4.43 Y0) => 28.89/4.43 (in @ 28.89/4.43 Y2 @ Y1)))))) => 28.89/4.43 (subset @ 28.89/4.43 Y0 @ Y1))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (subset @ 28.89/4.43 emptyset @ 28.89/4.43 Y0)))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y2 : $i]: 28.89/4.43 (( 28.89/4.43 (subset @ 28.89/4.43 Y0 @ 28.89/4.43 Y1) => 28.89/4.43 (( 28.89/4.43 (in @ 28.89/4.43 Y2 @ 28.89/4.43 Y0) => 28.89/4.43 (in @ 28.89/4.43 Y2 @ Y1)))))))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y2 : $i]: 28.89/4.43 (( 28.89/4.43 (subset @ 28.89/4.43 Y0 @ 28.89/4.43 Y1) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (~) @ ( 28.89/4.43 in @ 28.89/4.43 Y2 @ Y1))) => 28.89/4.43 (( 28.89/4.43 (~) @ ( 28.89/4.43 in @ 28.89/4.43 Y2 @ Y0)))))))))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y2 : $i]: 28.89/4.43 (( 28.89/4.43 (in @ 28.89/4.43 Y2 @ 28.89/4.43 Y0) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (~) @ ( 28.89/4.43 in @ 28.89/4.43 Y2 @ Y1))) => 28.89/4.43 (( 28.89/4.43 (~) @ ( 28.89/4.43 subset @ 28.89/4.43 Y0 @ Y1)))))))))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (~) @ ( 28.89/4.43 subset @ 28.89/4.43 Y0 @ Y1))) => 28.89/4.43 (( 28.89/4.43 (Y0) != 28.89/4.43 (Y1))))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y2 : $i]: 28.89/4.43 (( 28.89/4.43 (in @ 28.89/4.43 Y2 @ 28.89/4.43 Y0) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (~) @ ( 28.89/4.43 in @ 28.89/4.43 Y2 @ Y1))) => 28.89/4.43 (( 28.89/4.43 (Y0) != 28.89/4.43 (Y1)))))))))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (subset @ 28.89/4.43 Y0 @ Y0)))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y2 : $i]: 28.89/4.43 (( 28.89/4.43 (subset @ 28.89/4.43 Y0 @ 28.89/4.43 Y1) => 28.89/4.43 (( 28.89/4.43 (subset @ 28.89/4.43 Y1 @ 28.89/4.43 Y2) => 28.89/4.43 (subset @ 28.89/4.43 Y0 @ Y2)))))))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (subset @ 28.89/4.43 Y1 @ 28.89/4.43 (setadjoin @ 28.89/4.43 Y0 @ Y1)))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y2 : $i]: 28.89/4.43 (( 28.89/4.43 (subset @ 28.89/4.43 Y0 @ 28.89/4.43 Y2) => 28.89/4.43 (subset @ 28.89/4.43 Y0 @ 28.89/4.43 ( 28.89/4.43 setadjoin @ 28.89/4.43 Y1 @ Y2))))))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (subset @ 28.89/4.43 Y0 @ 28.89/4.43 Y1) => 28.89/4.43 (in @ 28.89/4.43 Y0 @ 28.89/4.43 ( 28.89/4.43 powerset @ 28.89/4.43 Y1)))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (subset @ 28.89/4.43 Y0 @ 28.89/4.43 Y1) => 28.89/4.43 (( 28.89/4.43 (subset @ 28.89/4.43 Y1 @ 28.89/4.43 Y0) => 28.89/4.43 (( 28.89/4.43 (Y0) = 28.89/4.43 (Y1))))))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (subset @ 28.89/4.43 Y0 @ 28.89/4.43 emptyset) => 28.89/4.43 (( 28.89/4.43 (Y0) = 28.89/4.43 (emptyset)))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (subset @ 28.89/4.43 Y1 @ 28.89/4.43 Y0) => 28.89/4.43 (in @ 28.89/4.43 Y1 @ 28.89/4.43 ( 28.89/4.43 powerset @ 28.89/4.43 Y0)))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (in @ 28.89/4.43 Y1 @ 28.89/4.43 ( 28.89/4.43 powerset @ 28.89/4.43 Y0)) => 28.89/4.43 (subset @ 28.89/4.43 Y1 @ Y0))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (in @ 28.89/4.43 Y0 @ 28.89/4.43 (powerset @ 28.89/4.43 Y0))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (subset @ 28.89/4.43 Y0 @ 28.89/4.43 Y1) => 28.89/4.43 (subset @ 28.89/4.43 ( 28.89/4.43 powerset @ 28.89/4.43 Y0) @ 28.89/4.43 ( 28.89/4.43 powerset @ 28.89/4.43 Y1)))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i > $o]: 28.89/4.43 (in @ 28.89/4.43 (dsetconstr @ 28.89/4.43 Y0 @ Y1) @ 28.89/4.43 (powerset @ 28.89/4.43 Y0)))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i > $o]: 28.89/4.43 (subset @ 28.89/4.43 (dsetconstr @ 28.89/4.43 Y0 @ Y1) @ 28.89/4.43 Y0))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y2 : $i]: 28.89/4.43 (( 28.89/4.43 (in @ 28.89/4.43 Y2 @ 28.89/4.43 Y0) => 28.89/4.43 (in @ 28.89/4.43 Y2 @ 28.89/4.43 ( 28.89/4.43 binunion @ 28.89/4.43 Y0 @ Y1))))))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (in @ 28.89/4.43 Y1 @ 28.89/4.43 (setadjoin @ 28.89/4.43 Y0 @ 28.89/4.43 (setadjoin @ 28.89/4.43 Y1 @ 28.89/4.43 emptyset))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y2 : $i]: 28.89/4.43 (( 28.89/4.43 (in @ 28.89/4.43 Y2 @ 28.89/4.43 Y1) => 28.89/4.43 (in @ 28.89/4.43 Y2 @ 28.89/4.43 ( 28.89/4.43 binunion @ 28.89/4.43 Y0 @ Y1))))))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y2 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y3 : $o]: 28.89/4.43 (( 28.89/4.43 (in @ 28.89/4.43 Y2 @ 28.89/4.43 ( 28.89/4.43 binunion @ 28.89/4.43 Y0 @ Y1)) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (in @ 28.89/4.43 Y2 @ 28.89/4.43 Y0) => 28.89/4.43 (Y3))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (in @ 28.89/4.43 Y2 @ 28.89/4.43 Y1) => 28.89/4.43 (Y3))) => 28.89/4.43 (Y3))))))))))))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y2 : $i]: 28.89/4.43 (( 28.89/4.43 (in @ 28.89/4.43 Y2 @ 28.89/4.43 ( 28.89/4.43 binunion @ 28.89/4.43 Y0 @ Y1)) => 28.89/4.43 (( 28.89/4.43 (in @ 28.89/4.43 Y2 @ 28.89/4.43 Y1) | 28.89/4.43 (in @ 28.89/4.43 Y2 @ Y0)))))))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (subset @ 28.89/4.43 Y0 @ 28.89/4.43 (binunion @ 28.89/4.43 Y0 @ Y1)))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (subset @ 28.89/4.43 Y1 @ 28.89/4.43 (binunion @ 28.89/4.43 Y0 @ Y1)))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y2 : $i]: 28.89/4.43 (( 28.89/4.43 (in @ 28.89/4.43 Y2 @ 28.89/4.43 Y0) => 28.89/4.43 (( 28.89/4.43 (in @ 28.89/4.43 Y2 @ 28.89/4.43 Y1) => 28.89/4.43 (in @ 28.89/4.43 Y2 @ 28.89/4.43 ( 28.89/4.43 dsetconstr @ 28.89/4.43 Y0 @ 28.89/4.43 ( 28.89/4.43 ^[Y3 : $i]: 28.89/4.43 (in @ 28.89/4.43 Y3 @ Y1))))))))))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y2 : $i]: 28.89/4.43 (( 28.89/4.43 (subset @ 28.89/4.43 Y2 @ 28.89/4.43 Y0) => 28.89/4.43 (( 28.89/4.43 (subset @ 28.89/4.43 Y2 @ 28.89/4.43 Y1) => 28.89/4.43 (subset @ 28.89/4.43 Y2 @ 28.89/4.43 ( 28.89/4.43 dsetconstr @ 28.89/4.43 Y0 @ 28.89/4.43 ( 28.89/4.43 ^[Y3 : $i]: 28.89/4.43 (in @ 28.89/4.43 Y3 @ Y1))))))))))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y2 : $i]: 28.89/4.43 (( 28.89/4.43 (in @ 28.89/4.43 Y2 @ 28.89/4.43 ( 28.89/4.43 dsetconstr @ 28.89/4.43 Y0 @ 28.89/4.43 ( 28.89/4.43 ^[Y3 : $i]: 28.89/4.43 (in @ 28.89/4.43 Y3 @ Y1)))) => 28.89/4.43 (in @ 28.89/4.43 Y2 @ Y0)))))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (subset @ 28.89/4.43 (dsetconstr @ 28.89/4.43 Y0 @ 28.89/4.43 (^[Y2 : $i]: 28.89/4.43 (in @ 28.89/4.43 Y2 @ Y1))) @ 28.89/4.43 Y0))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (subset @ 28.89/4.43 Y0 @ 28.89/4.43 Y1) => 28.89/4.43 (( 28.89/4.43 (dsetconstr @ 28.89/4.43 Y0 @ 28.89/4.43 ( 28.89/4.43 ^[Y2 : $i]: 28.89/4.43 (in @ 28.89/4.43 Y2 @ Y1))) = 28.89/4.43 (Y0))))))))))) => 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (( 28.89/4.43 (dsetconstr @ 28.89/4.43 Y0 @ 28.89/4.43 ( 28.89/4.43 ^[Y2 : $i]: 28.89/4.43 (in @ 28.89/4.43 Y2 @ Y1))) = 28.89/4.43 (Y1))) => 28.89/4.43 (subset @ 28.89/4.43 Y1 @ Y0))))))))) => 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y0 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y1 : $i]: 28.89/4.43 (( 28.89/4.43 (!!) @ ( 28.89/4.43 ^[Y2 : $i]: 28.89/4.43 (( 28.89/4.43 (in @ 28.89/4.43 Y2 @ 28.89/4.43 ( 28.89/4.43 dsetconstr @ 28.89/4.43 Y0 @ 28.89/4.43 ( 28.89/4.43 ^[Y3 : $i]: 28.89/4.43 (in @ 28.89/4.43 Y3 @ Y1)))) => 28.89/4.43 (in @ 28.89/4.43 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 28.89/4.43 inference('cnf', [status(esa)], [zf_stmt_1])). 28.89/4.43 thf(zip_derived_cl2053, plain, ($false), 28.89/4.43 inference('eprover', [status(thm)], [zip_derived_cl2052])). 28.89/4.43 28.89/4.43 % SZS output end Refutation 28.89/4.43 28.89/4.43 28.89/4.43 % Terminating... 28.89/4.43 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 28.89/4.47 % Runner terminated. 28.89/4.49 % Zipperpin 1.5 exiting 28.89/4.49 EOF