0.09/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.V9RfOEqw51 true 0.13/0.32 % Computer : n005.cluster.edu 0.13/0.32 % Model : x86_64 x86_64 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.32 % Memory : 8042.1875MB 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.32 % CPULimit : 960 0.13/0.32 % WCLimit : 120 0.13/0.32 % DateTime : Tue Aug 9 04:53:34 EDT 2022 0.13/0.32 % CPUTime : 0.13/0.32 % Running portfolio for 960 s 0.13/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.33 % Number of cores: 8 0.13/0.33 % Python version: Python 3.6.8 0.13/0.33 % Running in HO mode 0.19/0.61 % Total configuration time : 828 0.19/0.61 % Estimated wc time : 1656 0.19/0.61 % Estimated cpu time (8 cpus) : 207.0 0.19/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.19/0.70 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.19/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.19/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.19/0.70 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.19/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 1.38/0.71 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 1.38/0.71 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 1.39/0.76 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 28.71/4.28 % Solved by lams/15_e_short1.sh. 28.71/4.28 % done 72 iterations in 3.426s 28.71/4.28 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 28.71/4.28 % SZS output start Refutation 28.71/4.28 thf(setadjoinAx_type, type, setadjoinAx: $o). 28.71/4.28 thf(notdexE_type, type, notdexE: $o). 28.71/4.28 thf(setunionAx_type, type, setunionAx: $o). 28.71/4.28 thf(powersetE_type, type, powersetE: $o). 28.71/4.28 thf(omegaSAx_type, type, omegaSAx: $o). 28.71/4.28 thf(exuI1_type, type, exuI1: $o). 28.71/4.28 thf(exuI2_type, type, exuI2: $o). 28.71/4.28 thf(notequalI2_type, type, notequalI2: $o). 28.71/4.28 thf(powerset__Cong_type, type, powerset__Cong: $o). 28.71/4.28 thf(wellorderingAx_type, type, wellorderingAx: $o). 28.71/4.28 thf(setadjoinSub2_type, type, setadjoinSub2: $o). 28.71/4.28 thf(setoftrueEq_type, type, setoftrueEq: $o). 28.71/4.28 thf(emptyset__Cong_type, type, emptyset__Cong: $o). 28.71/4.28 thf(sepInPowerset_type, type, sepInPowerset: $o). 28.71/4.28 thf(setext_type, type, setext: $o). 28.71/4.28 thf(emptyinPowerset_type, type, emptyinPowerset: $o). 28.71/4.28 thf(descr__Cong_type, type, descr__Cong: $o). 28.71/4.28 thf(in_type, type, in: $i > $i > $o). 28.71/4.28 thf(quantDeMorgan1_type, type, quantDeMorgan1: $o). 28.71/4.28 thf(binunion_type, type, binunion: $i > $i > $i). 28.71/4.28 thf(setadjoinIR_type, type, setadjoinIR: $o). 28.71/4.28 thf(setadjoin__Cong_type, type, setadjoin__Cong: $o). 28.71/4.28 thf(subsetE_type, type, subsetE: $o). 28.71/4.28 thf(prop2set2propI_type, type, prop2set2propI: $o). 28.71/4.28 thf(dsetconstrEL_type, type, dsetconstrEL: $o). 28.71/4.28 thf(setbeta_type, type, setbeta: $o). 28.71/4.28 thf(eqinunit_type, type, eqinunit: $o). 28.71/4.28 thf(upairsetIL_type, type, upairsetIL: $o). 28.71/4.28 thf(powersetI1_type, type, powersetI1: $o). 28.71/4.28 thf(powersetAx_type, type, powersetAx: $o). 28.71/4.28 thf(powersetI_type, type, powersetI: $o). 28.71/4.28 thf(upairsetIR_type, type, upairsetIR: $o). 28.71/4.28 thf(inCongP_type, type, inCongP: $o). 28.71/4.28 thf(setadjoinSub_type, type, setadjoinSub: $o). 28.71/4.28 thf(exuE3e_type, type, exuE3e: $o). 28.71/4.28 thf(emptysetE_type, type, emptysetE: $o). 28.71/4.28 thf(setunionI_type, type, setunionI: $o). 28.71/4.28 thf(setunion__Cong_type, type, setunion__Cong: $o). 28.71/4.28 thf(prop2setI_type, type, prop2setI: $o). 28.71/4.28 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o). 28.71/4.28 thf(exuE2_type, type, exuE2: $o). 28.71/4.28 thf(emptyset_type, type, emptyset: $i). 28.71/4.28 thf(powersetsubset_type, type, powersetsubset: $o). 28.71/4.28 thf(subPowSU_type, type, subPowSU: $o). 28.71/4.28 thf(notequalI1_type, type, notequalI1: $o). 28.71/4.28 thf(notinemptyset_type, type, notinemptyset: $o). 28.71/4.28 thf(nonemptyI1_type, type, nonemptyI1: $o). 28.71/4.28 thf(subsetTrans_type, type, subsetTrans: $o). 28.71/4.28 thf(subsetE2_type, type, subsetE2: $o). 28.71/4.28 thf(singletonsswitch_type, type, singletonsswitch: $o). 28.71/4.28 thf(setextsub_type, type, setextsub: $o). 28.71/4.28 thf(emptysetsubset_type, type, emptysetsubset: $o). 28.71/4.28 thf(quantDeMorgan3_type, type, quantDeMorgan3: $o). 28.71/4.28 thf(setunionE_type, type, setunionE: $o). 28.71/4.28 thf(emptyinunitempty_type, type, emptyinunitempty: $o). 28.71/4.28 thf(setadjoinE_type, type, setadjoinE: $o). 28.71/4.28 thf(descr_type, type, descr: ($i > $o) > $i). 28.71/4.28 thf(setadjoinIL_type, type, setadjoinIL: $o). 28.71/4.28 thf(exuE1_type, type, exuE1: $o). 28.71/4.28 thf(prop2set_type, type, prop2set: $o > $i). 28.71/4.28 thf(notinsingleton_type, type, notinsingleton: $o). 28.71/4.28 thf(eqimpsubset2_type, type, eqimpsubset2: $o). 28.71/4.28 thf(exuEu_type, type, exuEu: $o). 28.71/4.28 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o). 28.71/4.28 thf(upairsetE_type, type, upairsetE: $o). 28.71/4.28 thf(omega0Ax_type, type, omega0Ax: $o). 28.71/4.28 thf(notsubsetI_type, type, notsubsetI: $o). 28.71/4.28 thf(quantDeMorgan4_type, type, quantDeMorgan4: $o). 28.71/4.28 thf(setextAx_type, type, setextAx: $o). 28.71/4.28 thf(powersetE1_type, type, powersetE1: $o). 28.71/4.28 thf(noeltsimpempty_type, type, noeltsimpempty: $o). 28.71/4.28 thf(setunion_type, type, setunion: $i > $i). 28.71/4.28 thf(subsetI1_type, type, subsetI1: $o). 28.71/4.28 thf(descrp_type, type, descrp: $o). 28.71/4.28 thf(dsetconstr__Cong_type, type, dsetconstr__Cong: $o). 28.71/4.28 thf(foundationAx_type, type, foundationAx: $o). 28.71/4.28 thf(emptysetAx_type, type, emptysetAx: $o). 28.71/4.28 thf(emptyI_type, type, emptyI: $o). 28.71/4.28 thf(setadjoinOr_type, type, setadjoinOr: $o). 28.71/4.28 thf(emptyE1_type, type, emptyE1: $o). 28.71/4.28 thf(emptyInPowerset_type, type, emptyInPowerset: $o). 28.71/4.28 thf(vacuousDall_type, type, vacuousDall: $o). 28.71/4.28 thf(dsetconstr_type, type, dsetconstr: $i > ($i > $o) > $i). 28.71/4.28 thf(dsetconstrER_type, type, dsetconstrER: $o). 28.71/4.28 thf(exu_type, type, exu: ($i > $o) > $o). 28.71/4.28 thf(subsetI2_type, type, subsetI2: $o). 28.71/4.28 thf(omega__Cong_type, type, omega__Cong: $o). 28.71/4.28 thf(subsetRefl_type, type, subsetRefl: $o). 28.71/4.28 thf(uniqinunit_type, type, uniqinunit: $o). 28.71/4.28 thf(prop2setE_type, type, prop2setE: $o). 28.71/4.28 thf(omega_type, type, omega: $i). 28.71/4.28 thf(nonemptyI_type, type, nonemptyI: $o). 28.71/4.28 thf(exuE3u_type, type, exuE3u: $o). 28.71/4.28 thf(sepSubset_type, type, sepSubset: $o). 28.71/4.28 thf(eqimpsubset1_type, type, eqimpsubset1: $o). 28.71/4.28 thf(exuI3_type, type, exuI3: $o). 28.71/4.28 thf(notdallE_type, type, notdallE: $o). 28.71/4.28 thf(powerset_type, type, powerset: $i > $i). 28.71/4.28 thf(dsetconstrI_type, type, dsetconstrI: $o). 28.71/4.28 thf(nonempty_type, type, nonempty: $i > $o). 28.71/4.28 thf(set2prop_type, type, set2prop: $i > $o). 28.71/4.28 thf(setadjoin_type, type, setadjoin: $i > $i > $i). 28.71/4.28 thf(exu__Cong_type, type, exu__Cong: $o). 28.71/4.28 thf(quantDeMorgan2_type, type, quantDeMorgan2: $o). 28.71/4.28 thf(subsetemptysetimpeq_type, type, subsetemptysetimpeq: $o). 28.71/4.28 thf(replAx_type, type, replAx: $o). 28.71/4.28 thf(nonemptyE1_type, type, nonemptyE1: $o). 28.71/4.28 thf(omegaIndAx_type, type, omegaIndAx: $o). 28.71/4.28 thf(inPowerset_type, type, inPowerset: $o). 28.71/4.28 thf(subset_type, type, subset: $i > $i > $o). 28.71/4.28 thf(in__Cong_type, type, in__Cong: $o). 28.71/4.28 thf(subset2powerset_type, type, subset2powerset: $o). 28.71/4.28 thf(binunion, axiom,(( binunion ) = 28.71/4.28 (^[Xx:$i,Xy:$i]: 28.71/4.28 ( setunion @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )))). 28.71/4.28 thf('0', plain, 28.71/4.28 (( binunion ) = 28.71/4.28 ( ^[Xx:$i,Xy:$i]: 28.71/4.28 ( setunion @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) )), 28.71/4.28 inference('simplify_rw_rule', [status(thm)], [binunion])). 28.71/4.28 thf('1', plain, 28.71/4.28 (( binunion ) = 28.71/4.28 ( ^[V_1:$i,V_2:$i]: 28.71/4.28 ( setunion @ ( setadjoin @ V_1 @ ( setadjoin @ V_2 @ emptyset ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(sepSubset, axiom, sepSubset = 28.71/4.28 (![A:$i,Xphi:( $i > $o )]: 28.71/4.28 ( subset @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) @ A ))). 28.71/4.28 thf('2', plain, 28.71/4.28 (( sepSubset ) = 28.71/4.28 ( ![X4:$i,X6:( $i > $o )]: 28.71/4.28 ( subset @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) @ X4 ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(sepInPowerset, axiom, sepInPowerset = 28.71/4.28 (![A:$i,Xphi:( $i > $o )]: 28.71/4.28 ( in @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) @ ( powerset @ A ) ))). 28.71/4.28 thf('3', plain, 28.71/4.28 (( sepInPowerset ) = 28.71/4.28 ( ![X4:$i,X6:( $i > $o )]: 28.71/4.28 ( in @ 28.71/4.28 ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) @ 28.71/4.28 ( powerset @ X4 ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(powersetsubset, axiom, powersetsubset = 28.71/4.28 (![A:$i,B:$i]: 28.71/4.28 ( ( subset @ A @ B ) => ( subset @ ( powerset @ A ) @ ( powerset @ B ) ) ))). 28.71/4.28 thf('4', plain, 28.71/4.28 (( powersetsubset ) = 28.71/4.28 ( ![X4:$i,X6:$i]: 28.71/4.28 ( ( subset @ X4 @ X6 ) => 28.71/4.28 ( subset @ ( powerset @ X4 ) @ ( powerset @ X6 ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(inPowerset, axiom, inPowerset = (![A:$i]: ( in @ A @ ( powerset @ A ) ))). 28.71/4.28 thf('5', plain, 28.71/4.28 (( inPowerset ) = ( ![X4:$i]: ( in @ X4 @ ( powerset @ X4 ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(powersetE1, axiom, powersetE1 = 28.71/4.28 (![A:$i,B:$i]: ( ( in @ B @ ( powerset @ A ) ) => ( subset @ B @ A ) ))). 28.71/4.28 thf('6', plain, 28.71/4.28 (( powersetE1 ) = 28.71/4.28 ( ![X4:$i,X6:$i]: 28.71/4.28 ( ( in @ X6 @ ( powerset @ X4 ) ) => ( subset @ X6 @ X4 ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(powersetI1, axiom, powersetI1 = 28.71/4.28 (![A:$i,B:$i]: ( ( subset @ B @ A ) => ( in @ B @ ( powerset @ A ) ) ))). 28.71/4.28 thf('7', plain, 28.71/4.28 (( powersetI1 ) = 28.71/4.28 ( ![X4:$i,X6:$i]: 28.71/4.28 ( ( subset @ X6 @ X4 ) => ( in @ X6 @ ( powerset @ X4 ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(subsetemptysetimpeq, axiom, subsetemptysetimpeq = 28.71/4.28 (![A:$i]: ( ( subset @ A @ emptyset ) => ( ( A ) = ( emptyset ) ) ))). 28.71/4.28 thf('8', plain, 28.71/4.28 (( subsetemptysetimpeq ) = 28.71/4.28 ( ![X4:$i]: ( ( subset @ X4 @ emptyset ) => ( ( X4 ) = ( emptyset ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(setextsub, axiom, setextsub = 28.71/4.28 (![A:$i,B:$i]: 28.71/4.28 ( ( subset @ A @ B ) => ( ( subset @ B @ A ) => ( ( A ) = ( B ) ) ) ))). 28.71/4.28 thf('9', plain, 28.71/4.28 (( setextsub ) = 28.71/4.28 ( ![X4:$i,X6:$i]: 28.71/4.28 ( ( subset @ X4 @ X6 ) => 28.71/4.28 ( ( subset @ X6 @ X4 ) => ( ( X4 ) = ( X6 ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(subset2powerset, axiom, subset2powerset = 28.71/4.28 (![A:$i,B:$i]: ( ( subset @ A @ B ) => ( in @ A @ ( powerset @ B ) ) ))). 28.71/4.28 thf('10', plain, 28.71/4.28 (( subset2powerset ) = 28.71/4.28 ( ![X4:$i,X6:$i]: 28.71/4.28 ( ( subset @ X4 @ X6 ) => ( in @ X4 @ ( powerset @ X6 ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(setadjoinSub2, axiom, setadjoinSub2 = 28.71/4.28 (![A:$i,Xx:$i,B:$i]: 28.71/4.28 ( ( subset @ A @ B ) => ( subset @ A @ ( setadjoin @ Xx @ B ) ) ))). 28.71/4.28 thf('11', plain, 28.71/4.28 (( setadjoinSub2 ) = 28.71/4.28 ( ![X4:$i,X6:$i,X8:$i]: 28.71/4.28 ( ( subset @ X4 @ X8 ) => ( subset @ X4 @ ( setadjoin @ X6 @ X8 ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(setadjoinSub, axiom, setadjoinSub = 28.71/4.28 (![Xx:$i,A:$i]: ( subset @ A @ ( setadjoin @ Xx @ A ) ))). 28.71/4.28 thf('12', plain, 28.71/4.28 (( setadjoinSub ) = 28.71/4.28 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( setadjoin @ X4 @ X6 ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(subsetTrans, axiom, subsetTrans = 28.71/4.28 (![A:$i,B:$i,C:$i]: 28.71/4.28 ( ( subset @ A @ B ) => ( ( subset @ B @ C ) => ( subset @ A @ C ) ) ))). 28.71/4.28 thf('13', plain, 28.71/4.28 (( subsetTrans ) = 28.71/4.28 ( ![X4:$i,X6:$i,X8:$i]: 28.71/4.28 ( ( subset @ X4 @ X6 ) => 28.71/4.28 ( ( subset @ X6 @ X8 ) => ( subset @ X4 @ X8 ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(subsetRefl, axiom, subsetRefl = (![A:$i]: ( subset @ A @ A ))). 28.71/4.28 thf('14', plain, (( subsetRefl ) = ( ![X4:$i]: ( subset @ X4 @ X4 ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(notequalI2, axiom, notequalI2 = 28.71/4.28 (![A:$i,B:$i,Xx:$i]: 28.71/4.28 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ( A ) != ( B ) ) ) ))). 28.71/4.28 thf('15', plain, 28.71/4.28 (( notequalI2 ) = 28.71/4.28 ( ![X4:$i,X6:$i,X8:$i]: 28.71/4.28 ( ( in @ X8 @ X4 ) => 28.71/4.28 ( ( ~( in @ X8 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(notequalI1, axiom, notequalI1 = 28.71/4.28 (![A:$i,B:$i]: ( ( ~( subset @ A @ B ) ) => ( ( A ) != ( B ) ) ))). 28.71/4.28 thf('16', plain, 28.71/4.28 (( notequalI1 ) = 28.71/4.28 ( ![X4:$i,X6:$i]: ( ( ~( subset @ X4 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(notsubsetI, axiom, notsubsetI = 28.71/4.28 (![A:$i,B:$i,Xx:$i]: 28.71/4.28 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ~( subset @ A @ B ) ) ) ))). 28.71/4.28 thf('17', plain, 28.71/4.28 (( notsubsetI ) = 28.71/4.28 ( ![X4:$i,X6:$i,X8:$i]: 28.71/4.28 ( ( in @ X8 @ X4 ) => 28.71/4.28 ( ( ~( in @ X8 @ X6 ) ) => ( ~( subset @ X4 @ X6 ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(subsetE2, axiom, subsetE2 = 28.71/4.28 (![A:$i,B:$i,Xx:$i]: 28.71/4.28 ( ( subset @ A @ B ) => ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))). 28.71/4.28 thf('18', plain, 28.71/4.28 (( subsetE2 ) = 28.71/4.28 ( ![X4:$i,X6:$i,X8:$i]: 28.71/4.28 ( ( subset @ X4 @ X6 ) => 28.71/4.28 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(subsetE, axiom, subsetE = 28.71/4.28 (![A:$i,B:$i,Xx:$i]: 28.71/4.28 ( ( subset @ A @ B ) => ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))). 28.71/4.28 thf('19', plain, 28.71/4.28 (( subsetE ) = 28.71/4.28 ( ![X4:$i,X6:$i,X8:$i]: 28.71/4.28 ( ( subset @ X4 @ X6 ) => ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(emptysetsubset, axiom, emptysetsubset = 28.71/4.28 (![A:$i]: ( subset @ emptyset @ A ))). 28.71/4.28 thf('20', plain, 28.71/4.28 (( emptysetsubset ) = ( ![X4:$i]: ( subset @ emptyset @ X4 ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(subsetI2, axiom, subsetI2 = 28.71/4.28 (![A:$i,B:$i]: 28.71/4.28 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 28.71/4.28 ( subset @ A @ B ) ))). 28.71/4.28 thf('21', plain, 28.71/4.28 (( subsetI2 ) = 28.71/4.28 ( ![X4:$i,X6:$i]: 28.71/4.28 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 28.71/4.28 ( subset @ X4 @ X6 ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(eqimpsubset1, axiom, eqimpsubset1 = 28.71/4.28 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ A @ B ) ))). 28.71/4.28 thf('22', plain, 28.71/4.28 (( eqimpsubset1 ) = 28.71/4.28 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X4 @ X6 ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(eqimpsubset2, axiom, eqimpsubset2 = 28.71/4.28 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ B @ A ) ))). 28.71/4.28 thf('23', plain, 28.71/4.28 (( eqimpsubset2 ) = 28.71/4.28 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X6 @ X4 ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(subsetI1, axiom, subsetI1 = 28.71/4.28 (![A:$i,B:$i]: 28.71/4.28 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 28.71/4.28 ( subset @ A @ B ) ))). 28.71/4.28 thf('24', plain, 28.71/4.28 (( subsetI1 ) = 28.71/4.28 ( ![X4:$i,X6:$i]: 28.71/4.28 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 28.71/4.28 ( subset @ X4 @ X6 ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(dsetconstr__Cong, axiom, dsetconstr__Cong = 28.71/4.28 (![A:$i,B:$i]: 28.71/4.28 ( ( ( A ) = ( B ) ) => 28.71/4.28 ( ![Xphi:( $i > $o ),Xpsi:( $i > $o )]: 28.71/4.28 ( ( ![Xx:$i]: 28.71/4.28 ( ( in @ Xx @ A ) => 28.71/4.28 ( ![Xy:$i]: 28.71/4.28 ( ( in @ Xy @ B ) => 28.71/4.28 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) ) ) ) => 28.71/4.28 ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) = 28.71/4.28 ( dsetconstr @ B @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ) ) ))). 28.71/4.28 thf('25', plain, 28.71/4.28 (( dsetconstr__Cong ) = 28.71/4.28 ( ![X4:$i,X6:$i]: 28.71/4.28 ( ( ( X4 ) = ( X6 ) ) => 28.71/4.28 ( ![X8:( $i > $o ),X10:( $i > $o )]: 28.71/4.28 ( ( ![X12:$i]: 28.71/4.28 ( ( in @ X12 @ X4 ) => 28.71/4.28 ( ![X14:$i]: 28.71/4.28 ( ( in @ X14 @ X6 ) => 28.71/4.28 ( ( ( X12 ) = ( X14 ) ) => 28.71/4.28 ( ( X8 @ X12 ) <=> ( X10 @ X14 ) ) ) ) ) ) ) => 28.71/4.28 ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X8 @ V_1 ) ) ) = 28.71/4.28 ( dsetconstr @ X6 @ ( ^[V_2:$i]: ( X10 @ V_2 ) ) ) ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(descr__Cong, axiom, descr__Cong = 28.71/4.28 (![Xphi:( $i > $o ),Xpsi:( $i > $o )]: 28.71/4.28 ( ( ![Xx:$i,Xy:$i]: 28.71/4.28 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) => 28.71/4.28 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 28.71/4.28 ( ( exu @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) => 28.71/4.28 ( ( descr @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) = 28.71/4.28 ( descr @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ) ) ))). 28.71/4.28 thf('26', plain, 28.71/4.28 (( descr__Cong ) = 28.71/4.28 ( ![X4:( $i > $o ),X6:( $i > $o )]: 28.71/4.28 ( ( ![X8:$i,X10:$i]: 28.71/4.28 ( ( ( X8 ) = ( X10 ) ) => ( ( X4 @ X8 ) <=> ( X6 @ X10 ) ) ) ) => 28.71/4.28 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 28.71/4.28 ( ( exu @ ( ^[V_2:$i]: ( X6 @ V_2 ) ) ) => 28.71/4.28 ( ( descr @ ( ^[V_3:$i]: ( X4 @ V_3 ) ) ) = 28.71/4.28 ( descr @ ( ^[V_4:$i]: ( X6 @ V_4 ) ) ) ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(exuEu, axiom, exuEu = 28.71/4.28 (![Xphi:( $i > $o )]: 28.71/4.28 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 28.71/4.28 ( ![Xx:$i,Xy:$i]: 28.71/4.28 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) ))). 28.71/4.28 thf('27', plain, 28.71/4.28 (( exuEu ) = 28.71/4.28 ( ![X4:( $i > $o )]: 28.71/4.28 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 28.71/4.28 ( ![X6:$i,X8:$i]: 28.71/4.28 ( ( X4 @ X6 ) => ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(omega__Cong, axiom, omega__Cong = (( omega ) = ( omega ))). 28.71/4.28 thf('28', plain, (( omega__Cong ) = ( ( omega ) = ( omega ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(setunion__Cong, axiom, setunion__Cong = 28.71/4.28 (![A:$i,B:$i]: 28.71/4.28 ( ( ( A ) = ( B ) ) => ( ( setunion @ A ) = ( setunion @ B ) ) ))). 28.71/4.28 thf('29', plain, 28.71/4.28 (( setunion__Cong ) = 28.71/4.28 ( ![X4:$i,X6:$i]: 28.71/4.28 ( ( ( X4 ) = ( X6 ) ) => ( ( setunion @ X4 ) = ( setunion @ X6 ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(powerset__Cong, axiom, powerset__Cong = 28.71/4.28 (![A:$i,B:$i]: 28.71/4.28 ( ( ( A ) = ( B ) ) => ( ( powerset @ A ) = ( powerset @ B ) ) ))). 28.71/4.28 thf('30', plain, 28.71/4.28 (( powerset__Cong ) = 28.71/4.28 ( ![X4:$i,X6:$i]: 28.71/4.28 ( ( ( X4 ) = ( X6 ) ) => ( ( powerset @ X4 ) = ( powerset @ X6 ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(setadjoin__Cong, axiom, setadjoin__Cong = 28.71/4.28 (![Xx:$i,Xy:$i]: 28.71/4.28 ( ( ( Xx ) = ( Xy ) ) => 28.71/4.28 ( ![Xz:$i,Xu:$i]: 28.71/4.28 ( ( ( Xz ) = ( Xu ) ) => 28.71/4.28 ( ( setadjoin @ Xx @ Xz ) = ( setadjoin @ Xy @ Xu ) ) ) ) ))). 28.71/4.28 thf('31', plain, 28.71/4.28 (( setadjoin__Cong ) = 28.71/4.28 ( ![X4:$i,X6:$i]: 28.71/4.28 ( ( ( X4 ) = ( X6 ) ) => 28.71/4.28 ( ![X8:$i,X10:$i]: 28.71/4.28 ( ( ( X8 ) = ( X10 ) ) => 28.71/4.28 ( ( setadjoin @ X4 @ X8 ) = ( setadjoin @ X6 @ X10 ) ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(emptyset__Cong, axiom, emptyset__Cong = (( emptyset ) = ( emptyset ))). 28.71/4.28 thf('32', plain, (( emptyset__Cong ) = ( ( emptyset ) = ( emptyset ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(exu__Cong, axiom, exu__Cong = 28.71/4.28 (![Xphi:( $i > $o ),Xpsi:( $i > $o )]: 28.71/4.28 ( ( ![Xx:$i,Xy:$i]: 28.71/4.28 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) => 28.71/4.28 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) <=> 28.71/4.28 ( exu @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ))). 28.71/4.28 thf('33', plain, 28.71/4.28 (( exu__Cong ) = 28.71/4.28 ( ![X4:( $i > $o ),X6:( $i > $o )]: 28.71/4.28 ( ( ![X8:$i,X10:$i]: 28.71/4.28 ( ( ( X8 ) = ( X10 ) ) => ( ( X4 @ X8 ) <=> ( X6 @ X10 ) ) ) ) => 28.71/4.28 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) <=> 28.71/4.28 ( exu @ ( ^[V_2:$i]: ( X6 @ V_2 ) ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(exuE3u, axiom, exuE3u = 28.71/4.28 (![Xphi:( $i > $o )]: 28.71/4.28 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 28.71/4.28 ( ![Xx:$i,Xy:$i]: 28.71/4.28 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) ))). 28.71/4.28 thf('34', plain, 28.71/4.28 (( exuE3u ) = 28.71/4.28 ( ![X4:( $i > $o )]: 28.71/4.28 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 28.71/4.28 ( ![X6:$i,X8:$i]: 28.71/4.28 ( ( X4 @ X6 ) => ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(in__Cong, axiom, in__Cong = 28.71/4.28 (![A:$i,B:$i]: 28.71/4.28 ( ( ( A ) = ( B ) ) => 28.71/4.28 ( ![Xx:$i,Xy:$i]: 28.71/4.28 ( ( ( Xx ) = ( Xy ) ) => ( ( in @ Xx @ A ) <=> ( in @ Xy @ B ) ) ) ) ))). 28.71/4.28 thf('35', plain, 28.71/4.28 (( in__Cong ) = 28.71/4.28 ( ![X4:$i,X6:$i]: 28.71/4.28 ( ( ( X4 ) = ( X6 ) ) => 28.71/4.28 ( ![X8:$i,X10:$i]: 28.71/4.28 ( ( ( X8 ) = ( X10 ) ) => 28.71/4.28 ( ( in @ X8 @ X4 ) <=> ( in @ X10 @ X6 ) ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(inCongP, axiom, inCongP = 28.71/4.28 (![A:$i,B:$i]: 28.71/4.28 ( ( ( A ) = ( B ) ) => 28.71/4.28 ( ![Xx:$i,Xy:$i]: 28.71/4.28 ( ( ( Xx ) = ( Xy ) ) => ( ( in @ Xx @ A ) => ( in @ Xy @ B ) ) ) ) ))). 28.71/4.28 thf('36', plain, 28.71/4.28 (( inCongP ) = 28.71/4.28 ( ![X4:$i,X6:$i]: 28.71/4.28 ( ( ( X4 ) = ( X6 ) ) => 28.71/4.28 ( ![X8:$i,X10:$i]: 28.71/4.28 ( ( ( X8 ) = ( X10 ) ) => 28.71/4.28 ( ( in @ X8 @ X4 ) => ( in @ X10 @ X6 ) ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(exuI2, axiom, exuI2 = 28.71/4.28 (![Xphi:( $i > $o )]: 28.71/4.28 ( ( ?[Xx:$i]: ( ![Xy:$i]: ( ( Xphi @ Xy ) <=> ( ( Xy ) = ( Xx ) ) ) ) ) => 28.71/4.28 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ))). 28.71/4.28 thf('37', plain, 28.71/4.28 (( exuI2 ) = 28.71/4.28 ( ![X4:( $i > $o )]: 28.71/4.28 ( ( ?[X6:$i]: ( ![X8:$i]: ( ( X4 @ X8 ) <=> ( ( X8 ) = ( X6 ) ) ) ) ) => 28.71/4.28 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(exuI3, axiom, exuI3 = 28.71/4.28 (![Xphi:( $i > $o )]: 28.71/4.28 ( ( ?[Xx:$i]: ( Xphi @ Xx ) ) => 28.71/4.28 ( ( ![Xx:$i,Xy:$i]: 28.71/4.28 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) => 28.71/4.28 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ) ))). 28.71/4.28 thf('38', plain, 28.71/4.28 (( exuI3 ) = 28.71/4.28 ( ![X4:( $i > $o )]: 28.71/4.28 ( ( ?[X6:$i]: ( X4 @ X6 ) ) => 28.71/4.28 ( ( ![X8:$i,X10:$i]: 28.71/4.28 ( ( X4 @ X8 ) => ( ( X4 @ X10 ) => ( ( X8 ) = ( X10 ) ) ) ) ) => 28.71/4.28 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(exuI1, axiom, exuI1 = 28.71/4.28 (![Xphi:( $i > $o )]: 28.71/4.28 ( ( ?[Xx:$i]: 28.71/4.28 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 28.71/4.28 ( Xphi @ Xx ) ) ) => 28.71/4.28 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ))). 28.71/4.28 thf('39', plain, 28.71/4.28 (( exuI1 ) = 28.71/4.28 ( ![X4:( $i > $o )]: 28.71/4.28 ( ( ?[X6:$i]: 28.71/4.28 ( ( ![X8:$i]: ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) & 28.71/4.28 ( X4 @ X6 ) ) ) => 28.71/4.28 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(notdallE, axiom, notdallE = 28.71/4.28 (![A:$i,Xphi:( $i > $o )]: 28.71/4.28 ( ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) => 28.71/4.28 ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) ))). 28.71/4.28 thf('40', plain, 28.71/4.28 (( notdallE ) = 28.71/4.28 ( ![X4:$i,X6:( $i > $o )]: 28.71/4.28 ( ( ~( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( X6 @ X8 ) ) ) ) => 28.71/4.28 ( ?[X10:$i]: ( ( ~( X6 @ X10 ) ) & ( in @ X10 @ X4 ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(notdexE, axiom, notdexE = 28.71/4.28 (![A:$i,Xphi:( $i > $o )]: 28.71/4.28 ( ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) => 28.71/4.28 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) ))). 28.71/4.28 thf('41', plain, 28.71/4.28 (( notdexE ) = 28.71/4.28 ( ![X4:$i,X6:( $i > $o )]: 28.71/4.28 ( ( ~( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) => 28.71/4.28 ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( ~( X6 @ X10 ) ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(prop2set2propI, axiom, prop2set2propI = 28.71/4.28 (![Xphi:$o]: ( ( Xphi ) => ( set2prop @ ( prop2set @ Xphi ) ) ))). 28.71/4.28 thf('42', plain, 28.71/4.28 (( prop2set2propI ) = 28.71/4.28 ( ![X4:$o]: ( ( X4 ) => ( set2prop @ ( prop2set @ X4 ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(prop2setI, axiom, prop2setI = 28.71/4.28 (![Xphi:$o]: ( ( Xphi ) => ( in @ emptyset @ ( prop2set @ Xphi ) ) ))). 28.71/4.28 thf('43', plain, 28.71/4.28 (( prop2setI ) = 28.71/4.28 ( ![X4:$o]: ( ( X4 ) => ( in @ emptyset @ ( prop2set @ X4 ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(quantDeMorgan4, axiom, quantDeMorgan4 = 28.71/4.28 (![A:$i,Xphi:( $i > $o )]: 28.71/4.28 ( ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) => 28.71/4.28 ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) ))). 28.71/4.28 thf('44', plain, 28.71/4.28 (( quantDeMorgan4 ) = 28.71/4.28 ( ![X4:$i,X6:( $i > $o )]: 28.71/4.28 ( ( ?[X8:$i]: ( ( ~( X6 @ X8 ) ) & ( in @ X8 @ X4 ) ) ) => 28.71/4.28 ( ~( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( X6 @ X10 ) ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(quantDeMorgan3, axiom, quantDeMorgan3 = 28.71/4.28 (![A:$i,Xphi:( $i > $o )]: 28.71/4.28 ( ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) => 28.71/4.28 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) ))). 28.71/4.28 thf('45', plain, 28.71/4.28 (( quantDeMorgan3 ) = 28.71/4.28 ( ![X4:$i,X6:( $i > $o )]: 28.71/4.28 ( ( ~( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) => 28.71/4.28 ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( ~( X6 @ X10 ) ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(quantDeMorgan2, axiom, quantDeMorgan2 = 28.71/4.28 (![A:$i,Xphi:( $i > $o )]: 28.71/4.28 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) => 28.71/4.28 ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) ))). 28.71/4.28 thf('46', plain, 28.71/4.28 (( quantDeMorgan2 ) = 28.71/4.28 ( ![X4:$i,X6:( $i > $o )]: 28.71/4.28 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( ~( X6 @ X8 ) ) ) ) => 28.71/4.28 ( ~( ?[X10:$i]: ( ( X6 @ X10 ) & ( in @ X10 @ X4 ) ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(quantDeMorgan1, axiom, quantDeMorgan1 = 28.71/4.28 (![A:$i,Xphi:( $i > $o )]: 28.71/4.28 ( ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) => 28.71/4.28 ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) ))). 28.71/4.28 thf('47', plain, 28.71/4.28 (( quantDeMorgan1 ) = 28.71/4.28 ( ![X4:$i,X6:( $i > $o )]: 28.71/4.28 ( ( ~( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( X6 @ X8 ) ) ) ) => 28.71/4.28 ( ?[X10:$i]: ( ( ~( X6 @ X10 ) ) & ( in @ X10 @ X4 ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(vacuousDall, axiom, vacuousDall = 28.71/4.28 (![Xphi:( $i > $o ),Xx:$i]: ( ( in @ Xx @ emptyset ) => ( Xphi @ Xx ) ))). 28.71/4.28 thf('48', plain, 28.71/4.28 (( vacuousDall ) = 28.71/4.28 ( ![X4:( $i > $o ),X6:$i]: ( ( in @ X6 @ emptyset ) => ( X4 @ X6 ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(emptyE1, axiom, emptyE1 = 28.71/4.28 (![A:$i,Xphi:( $i > $o )]: 28.71/4.28 ( ( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) => 28.71/4.28 ( ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) = ( emptyset ) ) => 28.71/4.28 ( $false ) ) ))). 28.71/4.28 thf('49', plain, 28.71/4.28 (( emptyE1 ) = 28.71/4.28 ( ![X4:$i,X6:( $i > $o )]: 28.71/4.28 ( ( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) => 28.71/4.28 ( ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) = ( emptyset ) ) => 28.71/4.28 ( $false ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(upairsetIR, axiom, upairsetIR = 28.71/4.28 (![Xx:$i,Xy:$i]: 28.71/4.28 ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 28.71/4.28 thf('50', plain, 28.71/4.28 (( upairsetIR ) = 28.71/4.28 ( ![X4:$i,X6:$i]: 28.71/4.28 ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(upairsetIL, axiom, upairsetIL = 28.71/4.28 (![Xx:$i,Xy:$i]: 28.71/4.28 ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 28.71/4.28 thf('51', plain, 28.71/4.28 (( upairsetIL ) = 28.71/4.28 ( ![X4:$i,X6:$i]: 28.71/4.28 ( in @ X4 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(upairsetE, axiom, upairsetE = 28.71/4.28 (![Xx:$i,Xy:$i,Xz:$i]: 28.71/4.28 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) => 28.71/4.28 ( ( ( Xz ) = ( Xx ) ) | ( ( Xz ) = ( Xy ) ) ) ))). 28.71/4.28 thf('52', plain, 28.71/4.28 (( upairsetE ) = 28.71/4.28 ( ![X4:$i,X6:$i,X8:$i]: 28.71/4.28 ( ( in @ X8 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) => 28.71/4.28 ( ( ( X8 ) = ( X4 ) ) | ( ( X8 ) = ( X6 ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(singletonsswitch, axiom, singletonsswitch = 28.71/4.28 (![Xx:$i,Xy:$i]: 28.71/4.28 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) => 28.71/4.28 ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ))). 28.71/4.28 thf('53', plain, 28.71/4.28 (( singletonsswitch ) = 28.71/4.28 ( ![X4:$i,X6:$i]: 28.71/4.28 ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) => 28.71/4.28 ( in @ X6 @ ( setadjoin @ X4 @ emptyset ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(eqinunit, axiom, eqinunit = 28.71/4.28 (![Xx:$i,Xy:$i]: 28.71/4.28 ( ( ( Xx ) = ( Xy ) ) => ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 28.71/4.28 thf('54', plain, 28.71/4.28 (( eqinunit ) = 28.71/4.28 ( ![X4:$i,X6:$i]: 28.71/4.28 ( ( ( X4 ) = ( X6 ) ) => ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(notinsingleton, axiom, notinsingleton = 28.71/4.28 (![Xx:$i,Xy:$i]: 28.71/4.28 ( ( ( Xx ) != ( Xy ) ) => ( ~( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ))). 28.71/4.28 thf('55', plain, 28.71/4.28 (( notinsingleton ) = 28.71/4.28 ( ![X4:$i,X6:$i]: 28.71/4.28 ( ( ( X4 ) != ( X6 ) ) => 28.71/4.28 ( ~( in @ X6 @ ( setadjoin @ X4 @ emptyset ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(uniqinunit, axiom, uniqinunit = 28.71/4.28 (![Xx:$i,Xy:$i]: 28.71/4.28 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) => ( ( Xx ) = ( Xy ) ) ))). 28.71/4.28 thf('56', plain, 28.71/4.28 (( uniqinunit ) = 28.71/4.28 ( ![X4:$i,X6:$i]: 28.71/4.28 ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) => ( ( X4 ) = ( X6 ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(nonemptyImpWitness, axiom, nonemptyImpWitness = 28.71/4.28 (![A:$i]: ( ( nonempty @ A ) => ( ?[Xx:$i]: ( in @ Xx @ A ) ) ))). 28.71/4.28 thf('57', plain, 28.71/4.28 (( nonemptyImpWitness ) = 28.71/4.28 ( ![X4:$i]: ( ( nonempty @ X4 ) => ( ?[X6:$i]: ( in @ X6 @ X4 ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(exuE2, axiom, exuE2 = 28.71/4.28 (![Xphi:( $i > $o )]: 28.71/4.28 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 28.71/4.28 ( ?[Xx:$i]: ( ![Xy:$i]: ( ( Xphi @ Xy ) <=> ( ( Xy ) = ( Xx ) ) ) ) ) ))). 28.71/4.28 thf('58', plain, 28.71/4.28 (( exuE2 ) = 28.71/4.28 ( ![X4:( $i > $o )]: 28.71/4.28 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 28.71/4.28 ( ?[X6:$i]: ( ![X8:$i]: ( ( X4 @ X8 ) <=> ( ( X8 ) = ( X6 ) ) ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(subPowSU, axiom, subPowSU = 28.71/4.28 (![A:$i,Xx:$i]: 28.71/4.28 ( ( in @ Xx @ A ) => ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ))). 28.71/4.28 thf('59', plain, 28.71/4.28 (( subPowSU ) = 28.71/4.28 ( ![X4:$i,X6:$i]: 28.71/4.28 ( ( in @ X6 @ X4 ) => ( in @ X6 @ ( powerset @ ( setunion @ X4 ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(setunionE, axiom, setunionE = 28.71/4.28 (![A:$i,Xx:$i]: 28.71/4.28 ( ( in @ Xx @ ( setunion @ A ) ) => 28.71/4.28 ( ![Xphi:$o]: 28.71/4.28 ( ( ![B:$i]: ( ( in @ Xx @ B ) => ( ( in @ B @ A ) => ( Xphi ) ) ) ) => 28.71/4.28 ( Xphi ) ) ) ))). 28.71/4.28 thf('60', plain, 28.71/4.28 (( setunionE ) = 28.71/4.28 ( ![X4:$i,X6:$i]: 28.71/4.28 ( ( in @ X6 @ ( setunion @ X4 ) ) => 28.71/4.28 ( ![X8:$o]: 28.71/4.28 ( ( ![X10:$i]: 28.71/4.28 ( ( in @ X6 @ X10 ) => ( ( in @ X10 @ X4 ) => ( X8 ) ) ) ) => 28.71/4.28 ( X8 ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(setunionI, axiom, setunionI = 28.71/4.28 (![A:$i,Xx:$i,B:$i]: 28.71/4.28 ( ( in @ Xx @ B ) => ( ( in @ B @ A ) => ( in @ Xx @ ( setunion @ A ) ) ) ))). 28.71/4.28 thf('61', plain, 28.71/4.28 (( setunionI ) = 28.71/4.28 ( ![X4:$i,X6:$i,X8:$i]: 28.71/4.28 ( ( in @ X6 @ X8 ) => 28.71/4.28 ( ( in @ X8 @ X4 ) => ( in @ X6 @ ( setunion @ X4 ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(powersetE, axiom, powersetE = 28.71/4.28 (![A:$i,B:$i,Xx:$i]: 28.71/4.28 ( ( in @ B @ ( powerset @ A ) ) => ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ))). 28.71/4.28 thf('62', plain, 28.71/4.28 (( powersetE ) = 28.71/4.28 ( ![X4:$i,X6:$i,X8:$i]: 28.71/4.28 ( ( in @ X6 @ ( powerset @ X4 ) ) => 28.71/4.28 ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(emptyInPowerset, axiom, emptyInPowerset = 28.71/4.28 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 28.71/4.28 thf('63', plain, 28.71/4.28 (( emptyInPowerset ) = 28.71/4.28 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(emptyinPowerset, axiom, emptyinPowerset = 28.71/4.28 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 28.71/4.28 thf('64', plain, 28.71/4.28 (( emptyinPowerset ) = 28.71/4.28 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(powersetI, axiom, powersetI = 28.71/4.28 (![A:$i,B:$i]: 28.71/4.28 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) => 28.71/4.28 ( in @ B @ ( powerset @ A ) ) ))). 28.71/4.28 thf('65', plain, 28.71/4.28 (( powersetI ) = 28.71/4.28 ( ![X4:$i,X6:$i]: 28.71/4.28 ( ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) => 28.71/4.28 ( in @ X6 @ ( powerset @ X4 ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(setoftrueEq, axiom, setoftrueEq = 28.71/4.28 (![A:$i]: ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( $true ) ) ) = ( A ) ))). 28.71/4.28 thf('66', plain, 28.71/4.28 (( setoftrueEq ) = 28.71/4.28 ( ![X4:$i]: ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( $true ) ) ) = ( X4 ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(setadjoinOr, axiom, setadjoinOr = 28.71/4.28 (![Xx:$i,A:$i,Xy:$i]: 28.71/4.28 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) => 28.71/4.28 ( ( ( Xy ) = ( Xx ) ) | ( in @ Xy @ A ) ) ))). 28.71/4.28 thf('67', plain, 28.71/4.28 (( setadjoinOr ) = 28.71/4.28 ( ![X4:$i,X6:$i,X8:$i]: 28.71/4.28 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) => 28.71/4.28 ( ( ( X8 ) = ( X4 ) ) | ( in @ X8 @ X6 ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(setadjoinE, axiom, setadjoinE = 28.71/4.28 (![Xx:$i,A:$i,Xy:$i]: 28.71/4.28 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) => 28.71/4.28 ( ![Xphi:$o]: 28.71/4.28 ( ( ( ( Xy ) = ( Xx ) ) => ( Xphi ) ) => 28.71/4.28 ( ( ( in @ Xy @ A ) => ( Xphi ) ) => ( Xphi ) ) ) ) ))). 28.71/4.28 thf('68', plain, 28.71/4.28 (( setadjoinE ) = 28.71/4.28 ( ![X4:$i,X6:$i,X8:$i]: 28.71/4.28 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) => 28.71/4.28 ( ![X10:$o]: 28.71/4.28 ( ( ( ( X8 ) = ( X4 ) ) => ( X10 ) ) => 28.71/4.28 ( ( ( in @ X8 @ X6 ) => ( X10 ) ) => ( X10 ) ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(setadjoinIR, axiom, setadjoinIR = 28.71/4.28 (![Xx:$i,A:$i,Xy:$i]: 28.71/4.28 ( ( in @ Xy @ A ) => ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ))). 28.71/4.28 thf('69', plain, 28.71/4.28 (( setadjoinIR ) = 28.71/4.28 ( ![X4:$i,X6:$i,X8:$i]: 28.71/4.28 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(emptyinunitempty, axiom,(( emptyinunitempty ) = 28.71/4.28 (in @ emptyset @ ( setadjoin @ emptyset @ emptyset )))). 28.71/4.28 thf('70', plain, 28.71/4.28 (( emptyinunitempty ) = 28.71/4.28 ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )), 28.71/4.28 inference('simplify_rw_rule', [status(thm)], [emptyinunitempty])). 28.71/4.28 thf('71', plain, 28.71/4.28 (( emptyinunitempty ) = 28.71/4.28 ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(setadjoinIL, axiom, setadjoinIL = 28.71/4.28 (![Xx:$i,Xy:$i]: ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ))). 28.71/4.28 thf('72', plain, 28.71/4.28 (( setadjoinIL ) = 28.71/4.28 ( ![X4:$i,X6:$i]: ( in @ X4 @ ( setadjoin @ X4 @ X6 ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(nonemptyI1, axiom, nonemptyI1 = 28.71/4.28 (![A:$i]: ( ( ?[Xx:$i]: ( in @ Xx @ A ) ) => ( nonempty @ A ) ))). 28.71/4.28 thf('73', plain, 28.71/4.28 (( nonemptyI1 ) = 28.71/4.28 ( ![X4:$i]: ( ( ?[X6:$i]: ( in @ X6 @ X4 ) ) => ( nonempty @ X4 ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(nonemptyI, axiom, nonemptyI = 28.71/4.28 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 28.71/4.28 ( ( in @ Xx @ A ) => 28.71/4.28 ( ( Xphi @ Xx ) => 28.71/4.28 ( nonempty @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) ) ))). 28.71/4.28 thf('74', plain, 28.71/4.28 (( nonemptyI ) = 28.71/4.28 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 28.71/4.28 ( ( in @ X8 @ X4 ) => 28.71/4.28 ( ( X6 @ X8 ) => 28.71/4.28 ( nonempty @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(nonemptyE1, axiom, nonemptyE1 = 28.71/4.28 (![A:$i]: ( ( nonempty @ A ) => ( ?[Xx:$i]: ( in @ Xx @ A ) ) ))). 28.71/4.28 thf('75', plain, 28.71/4.28 (( nonemptyE1 ) = 28.71/4.28 ( ![X4:$i]: ( ( nonempty @ X4 ) => ( ?[X6:$i]: ( in @ X6 @ X4 ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(nonempty, axiom,(( nonempty ) = (^[Xx:$i]: ( ( Xx ) != ( emptyset ) )))). 28.71/4.28 thf('76', plain, (( nonempty ) = ( ^[Xx:$i]: ( ( Xx ) != ( emptyset ) ) )), 28.71/4.28 inference('simplify_rw_rule', [status(thm)], [nonempty])). 28.71/4.28 thf('77', plain, (( nonempty ) = ( ^[V_1:$i]: ( ( V_1 ) != ( emptyset ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(setbeta, axiom, setbeta = 28.71/4.28 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 28.71/4.28 ( ( in @ Xx @ A ) => 28.71/4.28 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) <=> 28.71/4.28 ( Xphi @ Xx ) ) ))). 28.71/4.28 thf('78', plain, 28.71/4.28 (( setbeta ) = 28.71/4.28 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 28.71/4.28 ( ( in @ X8 @ X4 ) => 28.71/4.28 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) <=> 28.71/4.28 ( X6 @ X8 ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(noeltsimpempty, axiom, noeltsimpempty = 28.71/4.28 (![A:$i]: 28.71/4.28 ( ( ![Xx:$i]: ( ~( in @ Xx @ A ) ) ) => ( ( A ) = ( emptyset ) ) ))). 28.71/4.28 thf('79', plain, 28.71/4.28 (( noeltsimpempty ) = 28.71/4.28 ( ![X4:$i]: 28.71/4.28 ( ( ![X6:$i]: ( ~( in @ X6 @ X4 ) ) ) => ( ( X4 ) = ( emptyset ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(emptyI, axiom, emptyI = 28.71/4.28 (![A:$i]: 28.71/4.28 ( ( ![Xx:$i]: ( ~( in @ Xx @ A ) ) ) => ( ( A ) = ( emptyset ) ) ))). 28.71/4.28 thf('80', plain, 28.71/4.28 (( emptyI ) = 28.71/4.28 ( ![X4:$i]: 28.71/4.28 ( ( ![X6:$i]: ( ~( in @ X6 @ X4 ) ) ) => ( ( X4 ) = ( emptyset ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(setext, axiom, setext = 28.71/4.28 (![A:$i,B:$i]: 28.71/4.28 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 28.71/4.28 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) => 28.71/4.28 ( ( A ) = ( B ) ) ) ))). 28.71/4.28 thf('81', plain, 28.71/4.28 (( setext ) = 28.71/4.28 ( ![X4:$i,X6:$i]: 28.71/4.28 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 28.71/4.28 ( ( ![X10:$i]: ( ( in @ X10 @ X6 ) => ( in @ X10 @ X4 ) ) ) => 28.71/4.28 ( ( X4 ) = ( X6 ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(exuE3e, axiom, exuE3e = 28.71/4.28 (![Xphi:( $i > $o )]: 28.71/4.28 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => ( ?[Xx:$i]: ( Xphi @ Xx ) ) ))). 28.71/4.28 thf('82', plain, 28.71/4.28 (( exuE3e ) = 28.71/4.28 ( ![X4:( $i > $o )]: 28.71/4.28 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => ( ?[X6:$i]: ( X4 @ X6 ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(notinemptyset, axiom, notinemptyset = 28.71/4.28 (![Xx:$i]: ( ~( in @ Xx @ emptyset ) ))). 28.71/4.28 thf('83', plain, 28.71/4.28 (( notinemptyset ) = ( ![X4:$i]: ( ~( in @ X4 @ emptyset ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(emptysetimpfalse, axiom, emptysetimpfalse = 28.71/4.28 (![Xx:$i]: ( ( in @ Xx @ emptyset ) => ( $false ) ))). 28.71/4.28 thf('84', plain, 28.71/4.28 (( emptysetimpfalse ) = 28.71/4.28 ( ![X4:$i]: ( ( in @ X4 @ emptyset ) => ( $false ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(emptysetE, axiom, emptysetE = 28.71/4.28 (![Xx:$i]: ( ( in @ Xx @ emptyset ) => ( ![Xphi:$o]: ( Xphi ) ) ))). 28.71/4.28 thf('85', plain, 28.71/4.28 (( emptysetE ) = 28.71/4.28 ( ![X4:$i]: ( ( in @ X4 @ emptyset ) => ( ![X6:$o]: ( X6 ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(prop2setE, axiom, prop2setE = 28.71/4.28 (![Xphi:$o,Xx:$i]: ( ( in @ Xx @ ( prop2set @ Xphi ) ) => ( Xphi ) ))). 28.71/4.28 thf('86', plain, 28.71/4.28 (( prop2setE ) = 28.71/4.28 ( ![X4:$o,X6:$i]: ( ( in @ X6 @ ( prop2set @ X4 ) ) => ( X4 ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(exuE1, axiom, exuE1 = 28.71/4.28 (![Xphi:( $i > $o )]: 28.71/4.28 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 28.71/4.28 ( ?[Xx:$i]: 28.71/4.28 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 28.71/4.28 ( Xphi @ Xx ) ) ) ))). 28.71/4.28 thf('87', plain, 28.71/4.28 (( exuE1 ) = 28.71/4.28 ( ![X4:( $i > $o )]: 28.71/4.28 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 28.71/4.28 ( ?[X6:$i]: 28.71/4.28 ( ( ![X8:$i]: ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) & 28.71/4.28 ( X4 @ X6 ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(dsetconstrER, axiom, dsetconstrER = 28.71/4.28 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 28.71/4.28 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) => 28.71/4.28 ( Xphi @ Xx ) ))). 28.71/4.28 thf('88', plain, 28.71/4.28 (( dsetconstrER ) = 28.71/4.28 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 28.71/4.28 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) => 28.71/4.28 ( X6 @ X8 ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(dsetconstrEL, axiom, dsetconstrEL = 28.71/4.28 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 28.71/4.28 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) => 28.71/4.28 ( in @ Xx @ A ) ))). 28.71/4.28 thf('89', plain, 28.71/4.28 (( dsetconstrEL ) = 28.71/4.28 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 28.71/4.28 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) => 28.71/4.28 ( in @ X8 @ X4 ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(dsetconstrI, axiom, dsetconstrI = 28.71/4.28 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 28.71/4.28 ( ( in @ Xx @ A ) => 28.71/4.28 ( ( Xphi @ Xx ) => 28.71/4.28 ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) ) ))). 28.71/4.28 thf('90', plain, 28.71/4.28 (( dsetconstrI ) = 28.71/4.28 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 28.71/4.28 ( ( in @ X8 @ X4 ) => 28.71/4.28 ( ( X6 @ X8 ) => 28.71/4.28 ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(descrp, axiom, descrp = 28.71/4.28 (![Xphi:( $i > $o )]: 28.71/4.28 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 28.71/4.28 ( Xphi @ ( descr @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ) ))). 28.71/4.28 thf('91', plain, 28.71/4.28 (( descrp ) = 28.71/4.28 ( ![X4:( $i > $o )]: 28.71/4.28 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 28.71/4.28 ( X4 @ ( descr @ ( ^[V_2:$i]: ( X4 @ V_2 ) ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(wellorderingAx, axiom, wellorderingAx = 28.71/4.28 (![A:$i]: 28.71/4.28 ( ?[B:$i]: 28.71/4.28 ( ( ![C:$i]: 28.71/4.28 ( ( ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ A ) ) ) & 28.71/4.28 ( ?[Xx:$i]: ( in @ Xx @ C ) ) ) => 28.71/4.28 ( ?[D:$i,Xx:$i]: 28.71/4.28 ( ( ![E:$i]: 28.71/4.28 ( ( in @ E @ B ) => 28.71/4.28 ( ( ![Xy:$i]: ( ( in @ Xy @ E ) => ( in @ Xy @ D ) ) ) | 28.71/4.28 ( in @ Xx @ E ) ) ) ) & 28.71/4.28 ( ~( ?[Xy:$i]: ( ( in @ Xy @ C ) & ( in @ Xy @ D ) ) ) ) & 28.71/4.28 ( in @ Xx @ C ) & ( in @ D @ B ) ) ) ) ) & 28.71/4.28 ( ![C:$i,D:$i]: 28.71/4.28 ( ( ( in @ C @ B ) & ( in @ D @ B ) ) => 28.71/4.28 ( ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ D ) ) ) | 28.71/4.28 ( ![Xx:$i]: ( ( in @ Xx @ D ) => ( in @ Xx @ C ) ) ) ) ) ) & 28.71/4.28 ( ![Xx:$i,Xy:$i]: 28.71/4.28 ( ( ( in @ Xx @ A ) & ( in @ Xy @ A ) ) => 28.71/4.28 ( ( ![C:$i]: 28.71/4.28 ( ( in @ C @ B ) => ( ( in @ Xx @ C ) <=> ( in @ Xy @ C ) ) ) ) => 28.71/4.28 ( ( Xx ) = ( Xy ) ) ) ) ) & 28.71/4.28 ( ![C:$i]: 28.71/4.28 ( ( in @ C @ B ) => 28.71/4.28 ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ A ) ) ) ) ) ) ))). 28.71/4.28 thf('92', plain, 28.71/4.28 (( wellorderingAx ) = 28.71/4.28 ( ![X4:$i]: 28.71/4.28 ( ?[X6:$i]: 28.71/4.28 ( ( ![X8:$i]: 28.71/4.28 ( ( ( ![X10:$i]: ( ( in @ X10 @ X8 ) => ( in @ X10 @ X4 ) ) ) & 28.71/4.28 ( ?[X12:$i]: ( in @ X12 @ X8 ) ) ) => 28.71/4.28 ( ?[X14:$i,X16:$i]: 28.71/4.28 ( ( ![X18:$i]: 28.71/4.28 ( ( in @ X18 @ X6 ) => 28.71/4.28 ( ( ![X20:$i]: 28.71/4.28 ( ( in @ X20 @ X18 ) => ( in @ X20 @ X14 ) ) ) | 28.71/4.28 ( in @ X16 @ X18 ) ) ) ) & 28.71/4.28 ( ~( ?[X22:$i]: ( ( in @ X22 @ X8 ) & ( in @ X22 @ X14 ) ) ) ) & 28.71/4.28 ( in @ X16 @ X8 ) & ( in @ X14 @ X6 ) ) ) ) ) & 28.71/4.28 ( ![X24:$i,X26:$i]: 28.71/4.28 ( ( ( in @ X24 @ X6 ) & ( in @ X26 @ X6 ) ) => 28.71/4.28 ( ( ![X28:$i]: ( ( in @ X28 @ X24 ) => ( in @ X28 @ X26 ) ) ) | 28.71/4.28 ( ![X30:$i]: ( ( in @ X30 @ X26 ) => ( in @ X30 @ X24 ) ) ) ) ) ) & 28.71/4.28 ( ![X32:$i,X34:$i]: 28.71/4.28 ( ( ( in @ X32 @ X4 ) & ( in @ X34 @ X4 ) ) => 28.71/4.28 ( ( ![X36:$i]: 28.71/4.28 ( ( in @ X36 @ X6 ) => 28.71/4.28 ( ( in @ X32 @ X36 ) <=> ( in @ X34 @ X36 ) ) ) ) => 28.71/4.28 ( ( X32 ) = ( X34 ) ) ) ) ) & 28.71/4.28 ( ![X38:$i]: 28.71/4.28 ( ( in @ X38 @ X6 ) => 28.71/4.28 ( ![X40:$i]: ( ( in @ X40 @ X38 ) => ( in @ X40 @ X4 ) ) ) ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(foundationAx, axiom, foundationAx = 28.71/4.28 (![A:$i]: 28.71/4.28 ( ( ?[Xx:$i]: ( in @ Xx @ A ) ) => 28.71/4.28 ( ?[B:$i]: 28.71/4.28 ( ( ~( ?[Xx:$i]: ( ( in @ Xx @ A ) & ( in @ Xx @ B ) ) ) ) & 28.71/4.28 ( in @ B @ A ) ) ) ))). 28.71/4.28 thf('93', plain, 28.71/4.28 (( foundationAx ) = 28.71/4.28 ( ![X4:$i]: 28.71/4.28 ( ( ?[X6:$i]: ( in @ X6 @ X4 ) ) => 28.71/4.28 ( ?[X8:$i]: 28.71/4.28 ( ( ~( ?[X10:$i]: ( ( in @ X10 @ X4 ) & ( in @ X10 @ X8 ) ) ) ) & 28.71/4.28 ( in @ X8 @ X4 ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(replAx, axiom, replAx = 28.71/4.28 (![Xphi:( $i > $i > $o ),A:$i]: 28.71/4.28 ( ( ![Xx:$i]: 28.71/4.28 ( ( in @ Xx @ A ) => ( exu @ ( ^[Xy:$i]: ( Xphi @ Xx @ Xy ) ) ) ) ) => 28.71/4.28 ( ?[B:$i]: 28.71/4.28 ( ![Xx:$i]: 28.71/4.28 ( ( in @ Xx @ B ) <=> 28.71/4.28 ( ?[Xy:$i]: ( ( Xphi @ Xy @ Xx ) & ( in @ Xy @ A ) ) ) ) ) ) ))). 28.71/4.28 thf('94', plain, 28.71/4.28 (( replAx ) = 28.71/4.28 ( ![X4:( $i > $i > $o ),X6:$i]: 28.71/4.28 ( ( ![X8:$i]: 28.71/4.28 ( ( in @ X8 @ X6 ) => ( exu @ ( ^[V_1:$i]: ( X4 @ X8 @ V_1 ) ) ) ) ) => 28.71/4.28 ( ?[X10:$i]: 28.71/4.28 ( ![X12:$i]: 28.71/4.28 ( ( in @ X12 @ X10 ) <=> 28.71/4.28 ( ?[X14:$i]: ( ( X4 @ X14 @ X12 ) & ( in @ X14 @ X6 ) ) ) ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(omegaIndAx, axiom, omegaIndAx = 28.71/4.28 (![A:$i]: 28.71/4.28 ( ( ( in @ emptyset @ A ) & 28.71/4.28 ( ![Xx:$i]: 28.71/4.28 ( ( ( in @ Xx @ omega ) & ( in @ Xx @ A ) ) => 28.71/4.28 ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) ) ) => 28.71/4.28 ( ![Xx:$i]: ( ( in @ Xx @ omega ) => ( in @ Xx @ A ) ) ) ))). 28.71/4.28 thf('95', plain, 28.71/4.28 (( omegaIndAx ) = 28.71/4.28 ( ![X4:$i]: 28.71/4.28 ( ( ( in @ emptyset @ X4 ) & 28.71/4.28 ( ![X6:$i]: 28.71/4.28 ( ( ( in @ X6 @ omega ) & ( in @ X6 @ X4 ) ) => 28.71/4.28 ( in @ ( setadjoin @ X6 @ X6 ) @ X4 ) ) ) ) => 28.71/4.28 ( ![X8:$i]: ( ( in @ X8 @ omega ) => ( in @ X8 @ X4 ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(omegaSAx, axiom, omegaSAx = 28.71/4.28 (![Xx:$i]: 28.71/4.28 ( ( in @ Xx @ omega ) => ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ))). 28.71/4.28 thf('96', plain, 28.71/4.28 (( omegaSAx ) = 28.71/4.28 ( ![X4:$i]: 28.71/4.28 ( ( in @ X4 @ omega ) => ( in @ ( setadjoin @ X4 @ X4 ) @ omega ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(omega0Ax, axiom,(( omega0Ax ) = (in @ emptyset @ omega))). 28.71/4.28 thf('97', plain, (( omega0Ax ) = ( in @ emptyset @ omega )), 28.71/4.28 inference('simplify_rw_rule', [status(thm)], [omega0Ax])). 28.71/4.28 thf('98', plain, (( omega0Ax ) = ( in @ emptyset @ omega )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(setunionAx, axiom, setunionAx = 28.71/4.28 (![A:$i,Xx:$i]: 28.71/4.28 ( ( in @ Xx @ ( setunion @ A ) ) <=> 28.71/4.28 ( ?[B:$i]: ( ( in @ B @ A ) & ( in @ Xx @ B ) ) ) ))). 28.71/4.28 thf('99', plain, 28.71/4.28 (( setunionAx ) = 28.71/4.28 ( ![X4:$i,X6:$i]: 28.71/4.28 ( ( in @ X6 @ ( setunion @ X4 ) ) <=> 28.71/4.28 ( ?[X8:$i]: ( ( in @ X8 @ X4 ) & ( in @ X6 @ X8 ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(powersetAx, axiom, powersetAx = 28.71/4.28 (![A:$i,B:$i]: 28.71/4.28 ( ( in @ B @ ( powerset @ A ) ) <=> 28.71/4.28 ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) ))). 28.71/4.28 thf('100', plain, 28.71/4.28 (( powersetAx ) = 28.71/4.28 ( ![X4:$i,X6:$i]: 28.71/4.28 ( ( in @ X6 @ ( powerset @ X4 ) ) <=> 28.71/4.28 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(setadjoinAx, axiom, setadjoinAx = 28.71/4.28 (![Xx:$i,A:$i,Xy:$i]: 28.71/4.28 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) <=> 28.71/4.28 ( ( ( Xy ) = ( Xx ) ) | ( in @ Xy @ A ) ) ))). 28.71/4.28 thf('101', plain, 28.71/4.28 (( setadjoinAx ) = 28.71/4.28 ( ![X4:$i,X6:$i,X8:$i]: 28.71/4.28 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) <=> 28.71/4.28 ( ( ( X8 ) = ( X4 ) ) | ( in @ X8 @ X6 ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(emptysetAx, axiom, emptysetAx = (![Xx:$i]: ( ~( in @ Xx @ emptyset ) ))). 28.71/4.28 thf('102', plain, 28.71/4.28 (( emptysetAx ) = ( ![X4:$i]: ( ~( in @ X4 @ emptyset ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(setextAx, axiom, setextAx = 28.71/4.28 (![A:$i,B:$i]: 28.71/4.28 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) <=> ( in @ Xx @ B ) ) ) => 28.71/4.28 ( ( A ) = ( B ) ) ))). 28.71/4.28 thf('103', plain, 28.71/4.28 (( setextAx ) = 28.71/4.28 ( ![X4:$i,X6:$i]: 28.71/4.28 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 28.71/4.28 ( ( X4 ) = ( X6 ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(exu, axiom,(( exu ) = 28.71/4.28 (^[Xphi:( $i > $o )]: 28.71/4.28 ( ?[Xx:$i]: 28.71/4.28 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & ( Xphi @ Xx ) ) )))). 28.71/4.28 thf('104', plain, 28.71/4.28 (( exu ) = 28.71/4.28 ( ^[Xphi:( $i > $o )]: 28.71/4.28 ( ?[Xx:$i]: 28.71/4.28 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 28.71/4.28 ( Xphi @ Xx ) ) ) )), 28.71/4.28 inference('simplify_rw_rule', [status(thm)], [exu])). 28.71/4.28 thf('105', plain, 28.71/4.28 (( exu ) = 28.71/4.28 ( ^[V_1:( $i > $o )]: 28.71/4.28 ( ?[X4:$i]: 28.71/4.28 ( ( ![X6:$i]: ( ( V_1 @ X6 ) => ( ( X4 ) = ( X6 ) ) ) ) & 28.71/4.28 ( V_1 @ X4 ) ) ) )), 28.71/4.28 define([status(thm)])). 28.71/4.28 thf(binunionIL, conjecture, 28.71/4.28 (( setextAx ) => 28.71/4.28 ( ( emptysetAx ) => 28.71/4.28 ( ( setadjoinAx ) => 28.71/4.28 ( ( powersetAx ) => 28.71/4.28 ( ( setunionAx ) => 28.71/4.28 ( ( omega0Ax ) => 28.71/4.28 ( ( omegaSAx ) => 28.71/4.28 ( ( omegaIndAx ) => 28.71/4.28 ( ( replAx ) => 28.71/4.28 ( ( foundationAx ) => 28.71/4.28 ( ( wellorderingAx ) => 28.71/4.28 ( ( descrp ) => 28.71/4.28 ( ( dsetconstrI ) => 28.71/4.28 ( ( dsetconstrEL ) => 28.71/4.28 ( ( dsetconstrER ) => 28.71/4.28 ( ( exuE1 ) => 28.71/4.28 ( ( prop2setE ) => 28.71/4.28 ( ( emptysetE ) => 28.71/4.28 ( ( emptysetimpfalse ) => 28.71/4.28 ( ( notinemptyset ) => 28.71/4.28 ( ( exuE3e ) => 28.71/4.28 ( ( setext ) => 28.71/4.28 ( ( emptyI ) => 28.71/4.28 ( ( noeltsimpempty ) => 28.71/4.28 ( ( setbeta ) => 28.71/4.28 ( ( nonemptyE1 ) => 28.71/4.28 ( ( nonemptyI ) => 28.71/4.28 ( ( nonemptyI1 ) => 28.71/4.28 ( ( setadjoinIL ) => 28.71/4.28 ( ( emptyinunitempty ) => 28.71/4.28 ( ( setadjoinIR ) => 28.71/4.28 ( ( setadjoinE ) => 28.71/4.28 ( ( 28.71/4.28 setadjoinOr ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 setoftrueEq ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 powersetI ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 emptyinPowerset ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 emptyInPowerset ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 powersetE ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 setunionI ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 setunionE ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 subPowSU ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 exuE2 ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 nonemptyImpWitness ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 uniqinunit ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 notinsingleton ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 eqinunit ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 singletonsswitch ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 upairsetE ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 upairsetIL ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 upairsetIR ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 emptyE1 ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 vacuousDall ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 quantDeMorgan1 ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 quantDeMorgan2 ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 quantDeMorgan3 ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 quantDeMorgan4 ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 prop2setI ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 prop2set2propI ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 notdexE ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 notdallE ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 exuI1 ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 exuI3 ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 exuI2 ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 inCongP ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 in__Cong ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 exuE3u ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 exu__Cong ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 emptyset__Cong ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 setadjoin__Cong ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 powerset__Cong ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 setunion__Cong ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 omega__Cong ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 exuEu ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 descr__Cong ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 dsetconstr__Cong ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 subsetI1 ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 eqimpsubset2 ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 eqimpsubset1 ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 subsetI2 ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 emptysetsubset ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 subsetE ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 subsetE2 ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 notsubsetI ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 notequalI1 ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 notequalI2 ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 subsetRefl ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 subsetTrans ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 setadjoinSub ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 setadjoinSub2 ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 subset2powerset ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 setextsub ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 subsetemptysetimpeq ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 powersetI1 ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 powersetE1 ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 inPowerset ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 powersetsubset ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 sepInPowerset ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 sepSubset ) => 28.71/4.28 ( 28.71/4.28 ![ 28.71/4.28 A:$i,B:$i, 28.71/4.28 Xx:$i]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 Xx @ A ) => 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 Xx @ 28.71/4.28 ( 28.71/4.28 binunion @ 28.71/4.28 A @ B ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 28.71/4.28 thf(zf_stmt_0, conjecture, 28.71/4.28 (( ![X4:$i,X6:$i]: 28.71/4.28 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 28.71/4.28 ( ( X4 ) = ( X6 ) ) ) ) => 28.71/4.28 ( ( ![X10:$i]: ( ~( in @ X10 @ emptyset ) ) ) => 28.71/4.28 ( ( ![X12:$i,X14:$i,X16:$i]: 28.71/4.28 ( ( in @ X16 @ ( setadjoin @ X12 @ X14 ) ) <=> 28.71/4.28 ( ( in @ X16 @ X14 ) | ( ( X16 ) = ( X12 ) ) ) ) ) => 28.71/4.28 ( ( ![X18:$i,X20:$i]: 28.71/4.28 ( ( in @ X20 @ ( powerset @ X18 ) ) <=> 28.71/4.28 ( ![X22:$i]: ( ( in @ X22 @ X20 ) => ( in @ X22 @ X18 ) ) ) ) ) => 28.71/4.28 ( ( ![X24:$i,X26:$i]: 28.71/4.28 ( ( in @ X26 @ ( setunion @ X24 ) ) <=> 28.71/4.28 ( ?[X28:$i]: ( ( in @ X26 @ X28 ) & ( in @ X28 @ X24 ) ) ) ) ) => 28.71/4.28 ( ( in @ emptyset @ omega ) => 28.71/4.28 ( ( ![X30:$i]: 28.71/4.28 ( ( in @ X30 @ omega ) => 28.71/4.28 ( in @ ( setadjoin @ X30 @ X30 ) @ omega ) ) ) => 28.71/4.28 ( ( ![X32:$i]: 28.71/4.28 ( ( ( ![X34:$i]: 28.71/4.28 ( ( ( in @ X34 @ X32 ) & ( in @ X34 @ omega ) ) => 28.71/4.28 ( in @ ( setadjoin @ X34 @ X34 ) @ X32 ) ) ) & 28.71/4.28 ( in @ emptyset @ X32 ) ) => 28.71/4.28 ( ![X36:$i]: 28.71/4.28 ( ( in @ X36 @ omega ) => ( in @ X36 @ X32 ) ) ) ) ) => 28.71/4.28 ( ( ![X38:( $i > $i > $o ),X40:$i]: 28.71/4.28 ( ( ![X42:$i]: 28.71/4.28 ( ( in @ X42 @ X40 ) => 28.71/4.28 ( ?[X44:$i]: 28.71/4.28 ( ( X38 @ X42 @ X44 ) & 28.71/4.28 ( ![X46:$i]: 28.71/4.28 ( ( X38 @ X42 @ X46 ) => 28.71/4.28 ( ( X44 ) = ( X46 ) ) ) ) ) ) ) ) => 28.71/4.28 ( ?[X48:$i]: 28.71/4.28 ( ![X50:$i]: 28.71/4.28 ( ( in @ X50 @ X48 ) <=> 28.71/4.28 ( ?[X52:$i]: 28.71/4.28 ( ( in @ X52 @ X40 ) & ( X38 @ X52 @ X50 ) ) ) ) ) ) ) ) => 28.71/4.28 ( ( ![X54:$i]: 28.71/4.28 ( ( ?[X56:$i]: ( in @ X56 @ X54 ) ) => 28.71/4.28 ( ?[X58:$i]: 28.71/4.28 ( ( in @ X58 @ X54 ) & 28.71/4.28 ( ~( ?[X60:$i]: 28.71/4.28 ( ( in @ X60 @ X58 ) & ( in @ X60 @ X54 ) ) ) ) ) ) ) ) => 28.71/4.28 ( ( ![X62:$i]: 28.71/4.28 ( ?[X64:$i]: 28.71/4.28 ( ( ![X96:$i]: 28.71/4.28 ( ( in @ X96 @ X64 ) => 28.71/4.28 ( ![X98:$i]: 28.71/4.28 ( ( in @ X98 @ X96 ) => ( in @ X98 @ X62 ) ) ) ) ) & 28.71/4.28 ( ![X90:$i,X92:$i]: 28.71/4.28 ( ( ( in @ X92 @ X62 ) & ( in @ X90 @ X62 ) ) => 28.71/4.28 ( ( ![X94:$i]: 28.71/4.28 ( ( in @ X94 @ X64 ) => 28.71/4.28 ( ( in @ X90 @ X94 ) <=> 28.71/4.28 ( in @ X92 @ X94 ) ) ) ) => 28.71/4.28 ( ( X90 ) = ( X92 ) ) ) ) ) & 28.71/4.28 ( ![X82:$i,X84:$i]: 28.71/4.28 ( ( ( in @ X84 @ X64 ) & ( in @ X82 @ X64 ) ) => 28.71/4.28 ( ( ![X88:$i]: 28.71/4.28 ( ( in @ X88 @ X84 ) => 28.71/4.28 ( in @ X88 @ X82 ) ) ) | 28.71/4.28 ( ![X86:$i]: 28.71/4.28 ( ( in @ X86 @ X82 ) => 28.71/4.28 ( in @ X86 @ X84 ) ) ) ) ) ) & 28.71/4.28 ( ![X66:$i]: 28.71/4.28 ( ( ( ?[X70:$i]: ( in @ X70 @ X66 ) ) & 28.71/4.28 ( ![X68:$i]: 28.71/4.28 ( ( in @ X68 @ X66 ) => 28.71/4.28 ( in @ X68 @ X62 ) ) ) ) => 28.71/4.28 ( ?[X72:$i,X74:$i]: 28.71/4.28 ( ( in @ X72 @ X64 ) & 28.71/4.28 ( in @ X74 @ X66 ) & 28.71/4.28 ( ~( ?[X80:$i]: 28.71/4.28 ( ( in @ X80 @ X72 ) & 28.71/4.28 ( in @ X80 @ X66 ) ) ) ) & 28.71/4.28 ( ![X76:$i]: 28.71/4.28 ( ( in @ X76 @ X64 ) => 28.71/4.28 ( ( in @ X74 @ X76 ) | 28.71/4.28 ( ![X78:$i]: 28.71/4.28 ( ( in @ X78 @ X76 ) => 28.71/4.28 ( in @ X78 @ X72 ) ) ) ) ) ) ) ) ) ) ) ) ) => 28.71/4.28 ( ( ![X100:( $i > $o )]: 28.71/4.28 ( ( ?[X102:$i]: 28.71/4.28 ( ( X100 @ X102 ) & 28.71/4.28 ( ![X104:$i]: 28.71/4.28 ( ( X100 @ X104 ) => 28.71/4.28 ( ( X102 ) = ( X104 ) ) ) ) ) ) => 28.71/4.28 ( X100 @ 28.71/4.28 ( descr @ ( ^[V_1:$i]: ( X100 @ V_1 ) ) ) ) ) ) => 28.71/4.28 ( ( ![X106:$i,X108:( $i > $o ),X110:$i]: 28.71/4.28 ( ( in @ X110 @ X106 ) => 28.71/4.28 ( ( X108 @ X110 ) => 28.71/4.28 ( in @ 28.71/4.28 X110 @ 28.71/4.28 ( dsetconstr @ 28.71/4.28 X106 @ ( ^[V_2:$i]: ( X108 @ V_2 ) ) ) ) ) ) ) => 28.71/4.28 ( ( ![X112:$i,X114:( $i > $o ),X116:$i]: 28.71/4.28 ( ( in @ 28.71/4.28 X116 @ 28.71/4.28 ( dsetconstr @ 28.71/4.28 X112 @ ( ^[V_3:$i]: ( X114 @ V_3 ) ) ) ) => 28.71/4.28 ( in @ X116 @ X112 ) ) ) => 28.71/4.28 ( ( ![X118:$i,X120:( $i > $o ),X122:$i]: 28.71/4.28 ( ( in @ 28.71/4.28 X122 @ 28.71/4.28 ( dsetconstr @ 28.71/4.28 X118 @ ( ^[V_4:$i]: ( X120 @ V_4 ) ) ) ) => 28.71/4.28 ( X120 @ X122 ) ) ) => 28.71/4.28 ( ( ![X124:( $i > $o )]: 28.71/4.28 ( ( ?[X126:$i]: 28.71/4.28 ( ( X124 @ X126 ) & 28.71/4.28 ( ![X128:$i]: 28.71/4.28 ( ( X124 @ X128 ) => 28.71/4.28 ( ( X126 ) = ( X128 ) ) ) ) ) ) => 28.71/4.28 ( ?[X130:$i]: 28.71/4.28 ( ( X124 @ X130 ) & 28.71/4.28 ( ![X132:$i]: 28.71/4.28 ( ( X124 @ X132 ) => 28.71/4.28 ( ( X130 ) = ( X132 ) ) ) ) ) ) ) ) => 28.71/4.28 ( ( ![X134:$o,X136:$i]: 28.71/4.28 ( ( in @ X136 @ ( prop2set @ X134 ) ) => 28.71/4.28 ( X134 ) ) ) => 28.71/4.28 ( ( ![X138:$i]: 28.71/4.28 ( ( in @ X138 @ emptyset ) => 28.71/4.28 ( ![X140:$o]: ( X140 ) ) ) ) => 28.71/4.28 ( ( ![X142:$i]: 28.71/4.28 ( ~( in @ X142 @ emptyset ) ) ) => 28.71/4.28 ( ( ![X144:$i]: 28.71/4.28 ( ~( in @ X144 @ emptyset ) ) ) => 28.71/4.28 ( ( ![X146:( $i > $o )]: 28.71/4.28 ( ( ?[X148:$i]: 28.71/4.28 ( ( X146 @ X148 ) & 28.71/4.28 ( ![X150:$i]: 28.71/4.28 ( ( X146 @ X150 ) => 28.71/4.28 ( ( X148 ) = ( X150 ) ) ) ) ) ) => 28.71/4.28 ( ?[X152:$i]: ( X146 @ X152 ) ) ) ) => 28.71/4.28 ( ( ![X154:$i,X156:$i]: 28.71/4.28 ( ( ![X158:$i]: 28.71/4.28 ( ( in @ X158 @ X154 ) => 28.71/4.28 ( in @ X158 @ X156 ) ) ) => 28.71/4.28 ( ( ![X160:$i]: 28.71/4.28 ( ( in @ X160 @ X156 ) => 28.71/4.28 ( in @ X160 @ X154 ) ) ) => 28.71/4.28 ( ( X154 ) = ( X156 ) ) ) ) ) => 28.71/4.28 ( ( ![X162:$i]: 28.71/4.28 ( ( ![X164:$i]: 28.71/4.28 ( ~( in @ X164 @ X162 ) ) ) => 28.71/4.28 ( ( X162 ) = ( emptyset ) ) ) ) => 28.71/4.28 ( ( ![X166:$i]: 28.71/4.28 ( ( ![X168:$i]: 28.71/4.28 ( ~( in @ X168 @ X166 ) ) ) => 28.71/4.28 ( ( X166 ) = 28.71/4.28 ( emptyset ) ) ) ) => 28.71/4.28 ( ( ![X170:$i, 28.71/4.28 X172:( $i > $o ), 28.71/4.28 X174:$i]: 28.71/4.28 ( ( in @ X174 @ X170 ) => 28.71/4.28 ( ( in @ 28.71/4.28 X174 @ 28.71/4.28 ( dsetconstr @ 28.71/4.28 X170 @ 28.71/4.28 ( ^[V_5:$i]: 28.71/4.28 ( X172 @ V_5 ) ) ) ) <=> 28.71/4.28 ( X172 @ X174 ) ) ) ) => 28.71/4.28 ( ( ![X176:$i]: 28.71/4.28 ( ( ( X176 ) != 28.71/4.28 ( emptyset ) ) => 28.71/4.28 ( ?[X178:$i]: 28.71/4.28 ( in @ X178 @ X176 ) ) ) ) => 28.71/4.28 ( ( ![X180:$i, 28.71/4.28 X182:( $i > $o ), 28.71/4.28 X184:$i]: 28.71/4.28 ( ( in @ X184 @ X180 ) => 28.71/4.28 ( ( X182 @ X184 ) => 28.71/4.28 ( ( dsetconstr @ 28.71/4.28 X180 @ 28.71/4.28 ( ^[ 28.71/4.28 V_6:$i]: 28.71/4.28 ( 28.71/4.28 X182 @ V_6 ) ) ) != 28.71/4.28 ( emptyset ) ) ) ) ) => 28.71/4.28 ( ( ![X186:$i]: 28.71/4.28 ( ( ?[X188:$i]: 28.71/4.28 ( in @ 28.71/4.28 X188 @ X186 ) ) => 28.71/4.28 ( ( X186 ) != 28.71/4.28 ( emptyset ) ) ) ) => 28.71/4.28 ( ( ![X190:$i, 28.71/4.28 X192:$i]: 28.71/4.28 ( in @ 28.71/4.28 X190 @ 28.71/4.28 ( setadjoin @ 28.71/4.28 X190 @ X192 ) ) ) => 28.71/4.28 ( ( in @ 28.71/4.28 emptyset @ 28.71/4.28 ( setadjoin @ 28.71/4.28 emptyset @ 28.71/4.28 emptyset ) ) => 28.71/4.28 ( ( ![X194:$i, 28.71/4.28 X196:$i, 28.71/4.28 X198:$i]: 28.71/4.28 ( ( 28.71/4.28 in @ 28.71/4.28 X198 @ 28.71/4.28 X196 ) => 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X198 @ 28.71/4.28 ( 28.71/4.28 setadjoin 28.71/4.28 @ 28.71/4.28 X194 @ 28.71/4.28 X196 ) ) ) ) => 28.71/4.28 ( ( ![ 28.71/4.28 X200:$i, 28.71/4.28 X202:$i, 28.71/4.28 X204:$i]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X204 @ 28.71/4.28 ( 28.71/4.28 setadjoin 28.71/4.28 @ 28.71/4.28 X200 @ 28.71/4.28 X202 ) ) => 28.71/4.28 ( 28.71/4.28 ![ 28.71/4.28 X206:$o]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 X204 ) = 28.71/4.28 ( 28.71/4.28 X200 ) ) => 28.71/4.28 ( 28.71/4.28 X206 ) ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X204 @ 28.71/4.28 X202 ) => 28.71/4.28 ( 28.71/4.28 X206 ) ) => 28.71/4.28 ( 28.71/4.28 X206 ) ) ) ) ) ) => 28.71/4.28 ( ( 28.71/4.28 ![ 28.71/4.28 X208:$i, 28.71/4.28 X210:$i, 28.71/4.28 X212:$i]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X212 @ 28.71/4.28 ( 28.71/4.28 setadjoin 28.71/4.28 @ 28.71/4.28 X208 @ 28.71/4.28 X210 ) ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X212 @ 28.71/4.28 X210 ) | 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 X212 ) = 28.71/4.28 ( 28.71/4.28 X208 ) ) ) ) ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ![ 28.71/4.28 X214:$i]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 dsetconstr 28.71/4.28 @ 28.71/4.28 X214 @ 28.71/4.28 ( 28.71/4.28 ^[ 28.71/4.28 V_7:$i]: 28.71/4.28 ( 28.71/4.28 $true ) ) ) = 28.71/4.28 ( 28.71/4.28 X214 ) ) ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ![ 28.71/4.28 X216:$i, 28.71/4.28 X218:$i]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ![ 28.71/4.28 X220:$i]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X220 @ 28.71/4.28 X218 ) => 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X220 @ 28.71/4.28 X216 ) ) ) => 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X218 @ 28.71/4.28 ( 28.71/4.28 powerset @ 28.71/4.28 X216 ) ) ) ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ![ 28.71/4.28 X222:$i]: 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 emptyset @ 28.71/4.28 ( 28.71/4.28 powerset @ 28.71/4.28 X222 ) ) ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ![ 28.71/4.28 X224:$i]: 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 emptyset @ 28.71/4.28 ( 28.71/4.28 powerset @ 28.71/4.28 X224 ) ) ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ![ 28.71/4.28 X226:$i, 28.71/4.28 X228:$i, 28.71/4.28 X230:$i]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X228 @ 28.71/4.28 ( 28.71/4.28 powerset @ 28.71/4.28 X226 ) ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X230 @ 28.71/4.28 X228 ) => 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X230 @ 28.71/4.28 X226 ) ) ) ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ![ 28.71/4.28 X232:$i, 28.71/4.28 X234:$i, 28.71/4.28 X236:$i]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X234 @ 28.71/4.28 X236 ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X236 @ 28.71/4.28 X232 ) => 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X234 @ 28.71/4.28 ( 28.71/4.28 setunion @ 28.71/4.28 X232 ) ) ) ) ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ![ 28.71/4.28 X238:$i, 28.71/4.28 X240:$i]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X240 @ 28.71/4.28 ( 28.71/4.28 setunion @ 28.71/4.28 X238 ) ) => 28.71/4.28 ( 28.71/4.28 ![ 28.71/4.28 X242:$o]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ![ 28.71/4.28 X244:$i]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X240 @ 28.71/4.28 X244 ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X244 @ 28.71/4.28 X238 ) => 28.71/4.28 ( 28.71/4.28 X242 ) ) ) ) => 28.71/4.28 ( 28.71/4.28 X242 ) ) ) ) ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ![ 28.71/4.28 X246:$i, 28.71/4.28 X248:$i]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X248 @ 28.71/4.28 X246 ) => 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X248 @ 28.71/4.28 ( 28.71/4.28 powerset @ 28.71/4.28 ( 28.71/4.28 setunion @ 28.71/4.28 X246 ) ) ) ) ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ![ 28.71/4.28 X250:( 28.71/4.28 $i > $o )]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ?[ 28.71/4.28 X252:$i]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 X250 @ 28.71/4.28 X252 ) & 28.71/4.28 ( 28.71/4.28 ![ 28.71/4.28 X254:$i]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 X250 @ 28.71/4.28 X254 ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 X252 ) = 28.71/4.28 ( 28.71/4.28 X254 ) ) ) ) ) ) => 28.71/4.28 ( 28.71/4.28 ?[ 28.71/4.28 X256:$i]: 28.71/4.28 ( 28.71/4.28 ![ 28.71/4.28 X258:$i]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 X250 @ 28.71/4.28 X258 ) <=> 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 X258 ) = 28.71/4.28 ( 28.71/4.28 X256 ) ) ) ) ) ) ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ![ 28.71/4.28 X260:$i]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 X260 ) != 28.71/4.28 ( 28.71/4.28 emptyset ) ) => 28.71/4.28 ( 28.71/4.28 ?[ 28.71/4.28 X262:$i]: 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X262 @ 28.71/4.28 X260 ) ) ) ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ![ 28.71/4.28 X264:$i, 28.71/4.28 X266:$i]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X264 @ 28.71/4.28 ( 28.71/4.28 setadjoin 28.71/4.28 @ 28.71/4.28 X266 @ 28.71/4.28 emptyset ) ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 X264 ) = 28.71/4.28 ( 28.71/4.28 X266 ) ) ) ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ![ 28.71/4.28 X268:$i, 28.71/4.28 X270:$i]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 X268 ) != 28.71/4.28 ( 28.71/4.28 X270 ) ) => 28.71/4.28 ( 28.71/4.28 ~( 28.71/4.28 in @ 28.71/4.28 X270 @ 28.71/4.28 ( 28.71/4.28 setadjoin 28.71/4.28 @ 28.71/4.28 X268 @ 28.71/4.28 emptyset ) ) ) ) ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ![ 28.71/4.28 X272:$i, 28.71/4.28 X274:$i]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 X272 ) = 28.71/4.28 ( 28.71/4.28 X274 ) ) => 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X272 @ 28.71/4.28 ( 28.71/4.28 setadjoin 28.71/4.28 @ 28.71/4.28 X274 @ 28.71/4.28 emptyset ) ) ) ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ![ 28.71/4.28 X276:$i, 28.71/4.28 X278:$i]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X276 @ 28.71/4.28 ( 28.71/4.28 setadjoin 28.71/4.28 @ 28.71/4.28 X278 @ 28.71/4.28 emptyset ) ) => 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X278 @ 28.71/4.28 ( 28.71/4.28 setadjoin 28.71/4.28 @ 28.71/4.28 X276 @ 28.71/4.28 emptyset ) ) ) ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ![ 28.71/4.28 X280:$i, 28.71/4.28 X282:$i, 28.71/4.28 X284:$i]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X284 @ 28.71/4.28 ( 28.71/4.28 setadjoin 28.71/4.28 @ 28.71/4.28 X280 @ 28.71/4.28 ( 28.71/4.28 setadjoin 28.71/4.28 @ 28.71/4.28 X282 @ 28.71/4.28 emptyset ) ) ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 X284 ) = 28.71/4.28 ( 28.71/4.28 X282 ) ) | 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 X284 ) = 28.71/4.28 ( 28.71/4.28 X280 ) ) ) ) ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ![ 28.71/4.28 X286:$i, 28.71/4.28 X288:$i]: 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X286 @ 28.71/4.28 ( 28.71/4.28 setadjoin 28.71/4.28 @ 28.71/4.28 X286 @ 28.71/4.28 ( 28.71/4.28 setadjoin 28.71/4.28 @ 28.71/4.28 X288 @ 28.71/4.28 emptyset ) ) ) ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ![ 28.71/4.28 X290:$i, 28.71/4.28 X292:$i]: 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X292 @ 28.71/4.28 ( 28.71/4.28 setadjoin 28.71/4.28 @ 28.71/4.28 X290 @ 28.71/4.28 ( 28.71/4.28 setadjoin 28.71/4.28 @ 28.71/4.28 X292 @ 28.71/4.28 emptyset ) ) ) ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ![ 28.71/4.28 X294:$i, 28.71/4.28 X296:( 28.71/4.28 $i > $o )]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ?[ 28.71/4.28 X298:$i]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X298 @ 28.71/4.28 X294 ) & 28.71/4.28 ( 28.71/4.28 X296 @ 28.71/4.28 X298 ) ) ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 dsetconstr 28.71/4.28 @ 28.71/4.28 X294 @ 28.71/4.28 ( 28.71/4.28 ^[ 28.71/4.28 V_8:$i]: 28.71/4.28 ( 28.71/4.28 X296 @ V_8 ) ) ) != 28.71/4.28 ( 28.71/4.28 emptyset ) ) ) ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ![ 28.71/4.28 X300:( 28.71/4.28 $i > $o ), 28.71/4.28 X302:$i]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X302 @ 28.71/4.28 emptyset ) => 28.71/4.28 ( 28.71/4.28 X300 @ 28.71/4.28 X302 ) ) ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ![ 28.71/4.28 X304:$i, 28.71/4.28 X306:( 28.71/4.28 $i > $o )]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ~( 28.71/4.28 ![ 28.71/4.28 X308:$i]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X308 @ 28.71/4.28 X304 ) => 28.71/4.28 ( 28.71/4.28 X306 @ 28.71/4.28 X308 ) ) ) ) => 28.71/4.28 ( 28.71/4.28 ?[ 28.71/4.28 X310:$i]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X310 @ 28.71/4.28 X304 ) & 28.71/4.28 ( 28.71/4.28 ~( 28.71/4.28 X306 @ 28.71/4.28 X310 ) ) ) ) ) ) => 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ![ 28.71/4.28 X312:$i, 28.71/4.28 X314:( 28.71/4.28 $i > $o )]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 ![ 28.71/4.28 X316:$i]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.28 X316 @ 28.71/4.28 X312 ) => 28.71/4.28 ( 28.71/4.28 ~( 28.71/4.28 X314 @ 28.71/4.28 X316 ) ) ) ) => 28.71/4.28 ( 28.71/4.28 ~( 28.71/4.28 ?[ 28.71/4.28 X318:$i]: 28.71/4.28 ( 28.71/4.28 ( 28.71/4.28 in @ 28.71/4.29 X318 @ 28.71/4.29 X312 ) & 28.71/4.29 ( 28.71/4.29 X314 @ 28.71/4.29 X318 ) ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X320:$i, 28.71/4.29 X322:( 28.71/4.29 $i > $o )]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ~( 28.71/4.29 ?[ 28.71/4.29 X324:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X324 @ 28.71/4.29 X320 ) & 28.71/4.29 ( 28.71/4.29 X322 @ 28.71/4.29 X324 ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X326:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X326 @ 28.71/4.29 X320 ) => 28.71/4.29 ( 28.71/4.29 ~( 28.71/4.29 X322 @ 28.71/4.29 X326 ) ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X328:$i, 28.71/4.29 X330:( 28.71/4.29 $i > $o )]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ?[ 28.71/4.29 X332:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X332 @ 28.71/4.29 X328 ) & 28.71/4.29 ( 28.71/4.29 ~( 28.71/4.29 X330 @ 28.71/4.29 X332 ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ~( 28.71/4.29 ![ 28.71/4.29 X334:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X334 @ 28.71/4.29 X328 ) => 28.71/4.29 ( 28.71/4.29 X330 @ 28.71/4.29 X334 ) ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X336:$o]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X336 ) => 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 emptyset @ 28.71/4.29 ( 28.71/4.29 prop2set @ 28.71/4.29 X336 ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X338:$o]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X338 ) => 28.71/4.29 ( 28.71/4.29 set2prop @ 28.71/4.29 ( 28.71/4.29 prop2set @ 28.71/4.29 X338 ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X340:$i, 28.71/4.29 X342:( 28.71/4.29 $i > $o )]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ~( 28.71/4.29 ?[ 28.71/4.29 X344:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X344 @ 28.71/4.29 X340 ) & 28.71/4.29 ( 28.71/4.29 X342 @ 28.71/4.29 X344 ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X346:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X346 @ 28.71/4.29 X340 ) => 28.71/4.29 ( 28.71/4.29 ~( 28.71/4.29 X342 @ 28.71/4.29 X346 ) ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X348:$i, 28.71/4.29 X350:( 28.71/4.29 $i > $o )]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ~( 28.71/4.29 ![ 28.71/4.29 X352:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X352 @ 28.71/4.29 X348 ) => 28.71/4.29 ( 28.71/4.29 X350 @ 28.71/4.29 X352 ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ?[ 28.71/4.29 X354:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X354 @ 28.71/4.29 X348 ) & 28.71/4.29 ( 28.71/4.29 ~( 28.71/4.29 X350 @ 28.71/4.29 X354 ) ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X356:( 28.71/4.29 $i > $o )]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ?[ 28.71/4.29 X358:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X356 @ 28.71/4.29 X358 ) & 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X360:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X356 @ 28.71/4.29 X360 ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X358 ) = 28.71/4.29 ( 28.71/4.29 X360 ) ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ?[ 28.71/4.29 X362:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X356 @ 28.71/4.29 X362 ) & 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X364:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X356 @ 28.71/4.29 X364 ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X362 ) = 28.71/4.29 ( 28.71/4.29 X364 ) ) ) ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X366:( 28.71/4.29 $i > $o )]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ?[ 28.71/4.29 X368:$i]: 28.71/4.29 ( 28.71/4.29 X366 @ 28.71/4.29 X368 ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X370:$i, 28.71/4.29 X372:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X366 @ 28.71/4.29 X370 ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X366 @ 28.71/4.29 X372 ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X370 ) = 28.71/4.29 ( 28.71/4.29 X372 ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ?[ 28.71/4.29 X374:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X366 @ 28.71/4.29 X374 ) & 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X376:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X366 @ 28.71/4.29 X376 ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X374 ) = 28.71/4.29 ( 28.71/4.29 X376 ) ) ) ) ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X378:( 28.71/4.29 $i > $o )]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ?[ 28.71/4.29 X380:$i]: 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X382:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X378 @ 28.71/4.29 X382 ) <=> 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X382 ) = 28.71/4.29 ( 28.71/4.29 X380 ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ?[ 28.71/4.29 X384:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X378 @ 28.71/4.29 X384 ) & 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X386:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X378 @ 28.71/4.29 X386 ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X384 ) = 28.71/4.29 ( 28.71/4.29 X386 ) ) ) ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X388:$i, 28.71/4.29 X390:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X388 ) = 28.71/4.29 ( 28.71/4.29 X390 ) ) => 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X392:$i, 28.71/4.29 X394:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X392 ) = 28.71/4.29 ( 28.71/4.29 X394 ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X392 @ 28.71/4.29 X388 ) => 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X394 @ 28.71/4.29 X390 ) ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X396:$i, 28.71/4.29 X398:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X396 ) = 28.71/4.29 ( 28.71/4.29 X398 ) ) => 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X400:$i, 28.71/4.29 X402:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X400 ) = 28.71/4.29 ( 28.71/4.29 X402 ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X400 @ 28.71/4.29 X396 ) <=> 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X402 @ 28.71/4.29 X398 ) ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X404:( 28.71/4.29 $i > $o )]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ?[ 28.71/4.29 X406:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X404 @ 28.71/4.29 X406 ) & 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X408:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X404 @ 28.71/4.29 X408 ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X406 ) = 28.71/4.29 ( 28.71/4.29 X408 ) ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X410:$i, 28.71/4.29 X412:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X404 @ 28.71/4.29 X410 ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X404 @ 28.71/4.29 X412 ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X410 ) = 28.71/4.29 ( 28.71/4.29 X412 ) ) ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X414:( 28.71/4.29 $i > $o ), 28.71/4.29 X416:( 28.71/4.29 $i > $o )]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X418:$i, 28.71/4.29 X420:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X418 ) = 28.71/4.29 ( 28.71/4.29 X420 ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X414 @ 28.71/4.29 X418 ) <=> 28.71/4.29 ( 28.71/4.29 X416 @ 28.71/4.29 X420 ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ?[ 28.71/4.29 X422:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X414 @ 28.71/4.29 X422 ) & 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X424:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X414 @ 28.71/4.29 X424 ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X422 ) = 28.71/4.29 ( 28.71/4.29 X424 ) ) ) ) ) ) <=> 28.71/4.29 ( 28.71/4.29 ?[ 28.71/4.29 X426:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X416 @ 28.71/4.29 X426 ) & 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X428:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X416 @ 28.71/4.29 X428 ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X426 ) = 28.71/4.29 ( 28.71/4.29 X428 ) ) ) ) ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 emptyset ) = 28.71/4.29 ( 28.71/4.29 emptyset ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X430:$i, 28.71/4.29 X432:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X430 ) = 28.71/4.29 ( 28.71/4.29 X432 ) ) => 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X434:$i, 28.71/4.29 X436:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X434 ) = 28.71/4.29 ( 28.71/4.29 X436 ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 setadjoin 28.71/4.29 @ 28.71/4.29 X430 @ 28.71/4.29 X434 ) = 28.71/4.29 ( 28.71/4.29 setadjoin 28.71/4.29 @ 28.71/4.29 X432 @ 28.71/4.29 X436 ) ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X438:$i, 28.71/4.29 X440:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X438 ) = 28.71/4.29 ( 28.71/4.29 X440 ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 powerset @ 28.71/4.29 X438 ) = 28.71/4.29 ( 28.71/4.29 powerset @ 28.71/4.29 X440 ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X442:$i, 28.71/4.29 X444:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X442 ) = 28.71/4.29 ( 28.71/4.29 X444 ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 setunion @ 28.71/4.29 X442 ) = 28.71/4.29 ( 28.71/4.29 setunion @ 28.71/4.29 X444 ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 omega ) = 28.71/4.29 ( 28.71/4.29 omega ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X446:( 28.71/4.29 $i > $o )]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ?[ 28.71/4.29 X448:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X446 @ 28.71/4.29 X448 ) & 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X450:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X446 @ 28.71/4.29 X450 ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X448 ) = 28.71/4.29 ( 28.71/4.29 X450 ) ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X452:$i, 28.71/4.29 X454:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X446 @ 28.71/4.29 X452 ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X446 @ 28.71/4.29 X454 ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X452 ) = 28.71/4.29 ( 28.71/4.29 X454 ) ) ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X456:( 28.71/4.29 $i > $o ), 28.71/4.29 X458:( 28.71/4.29 $i > $o )]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X460:$i, 28.71/4.29 X462:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X460 ) = 28.71/4.29 ( 28.71/4.29 X462 ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X456 @ 28.71/4.29 X460 ) <=> 28.71/4.29 ( 28.71/4.29 X458 @ 28.71/4.29 X462 ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ?[ 28.71/4.29 X464:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X456 @ 28.71/4.29 X464 ) & 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X466:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X456 @ 28.71/4.29 X466 ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X464 ) = 28.71/4.29 ( 28.71/4.29 X466 ) ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ?[ 28.71/4.29 X468:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X458 @ 28.71/4.29 X468 ) & 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X470:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X458 @ 28.71/4.29 X470 ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X468 ) = 28.71/4.29 ( 28.71/4.29 X470 ) ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 descr @ 28.71/4.29 ( 28.71/4.29 ^[ 28.71/4.29 V_9:$i]: 28.71/4.29 ( 28.71/4.29 X456 @ V_9 ) ) ) = 28.71/4.29 ( 28.71/4.29 descr @ 28.71/4.29 ( 28.71/4.29 ^[ 28.71/4.29 V_10:$i]: 28.71/4.29 ( 28.71/4.29 X458 @ 28.71/4.29 V_10 ) ) ) ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X472:$i, 28.71/4.29 X474:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X472 ) = 28.71/4.29 ( 28.71/4.29 X474 ) ) => 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X476:( 28.71/4.29 $i > $o ), 28.71/4.29 X478:( 28.71/4.29 $i > $o )]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X480:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X480 @ 28.71/4.29 X472 ) => 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X482:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X482 @ 28.71/4.29 X474 ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X480 ) = 28.71/4.29 ( 28.71/4.29 X482 ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X476 @ 28.71/4.29 X480 ) <=> 28.71/4.29 ( 28.71/4.29 X478 @ 28.71/4.29 X482 ) ) ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 dsetconstr 28.71/4.29 @ 28.71/4.29 X472 @ 28.71/4.29 ( 28.71/4.29 ^[ 28.71/4.29 V_11:$i]: 28.71/4.29 ( 28.71/4.29 X476 @ 28.71/4.29 V_11 ) ) ) = 28.71/4.29 ( 28.71/4.29 dsetconstr 28.71/4.29 @ 28.71/4.29 X474 @ 28.71/4.29 ( 28.71/4.29 ^[ 28.71/4.29 V_12:$i]: 28.71/4.29 ( 28.71/4.29 X478 @ 28.71/4.29 V_12 ) ) ) ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X484:$i, 28.71/4.29 X486:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X488:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X488 @ 28.71/4.29 X484 ) => 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X488 @ 28.71/4.29 X486 ) ) ) => 28.71/4.29 ( 28.71/4.29 subset @ 28.71/4.29 X484 @ 28.71/4.29 X486 ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X490:$i, 28.71/4.29 X492:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X490 ) = 28.71/4.29 ( 28.71/4.29 X492 ) ) => 28.71/4.29 ( 28.71/4.29 subset @ 28.71/4.29 X492 @ 28.71/4.29 X490 ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X494:$i, 28.71/4.29 X496:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X494 ) = 28.71/4.29 ( 28.71/4.29 X496 ) ) => 28.71/4.29 ( 28.71/4.29 subset @ 28.71/4.29 X494 @ 28.71/4.29 X496 ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X498:$i, 28.71/4.29 X500:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X502:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X502 @ 28.71/4.29 X498 ) => 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X502 @ 28.71/4.29 X500 ) ) ) => 28.71/4.29 ( 28.71/4.29 subset @ 28.71/4.29 X498 @ 28.71/4.29 X500 ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X504:$i]: 28.71/4.29 ( 28.71/4.29 subset @ 28.71/4.29 emptyset @ 28.71/4.29 X504 ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X506:$i, 28.71/4.29 X508:$i, 28.71/4.29 X510:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 subset @ 28.71/4.29 X506 @ 28.71/4.29 X508 ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X510 @ 28.71/4.29 X506 ) => 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X510 @ 28.71/4.29 X508 ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X512:$i, 28.71/4.29 X514:$i, 28.71/4.29 X516:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 subset @ 28.71/4.29 X512 @ 28.71/4.29 X514 ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ~( 28.71/4.29 in @ 28.71/4.29 X516 @ 28.71/4.29 X514 ) ) => 28.71/4.29 ( 28.71/4.29 ~( 28.71/4.29 in @ 28.71/4.29 X516 @ 28.71/4.29 X512 ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X518:$i, 28.71/4.29 X520:$i, 28.71/4.29 X522:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X522 @ 28.71/4.29 X518 ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ~( 28.71/4.29 in @ 28.71/4.29 X522 @ 28.71/4.29 X520 ) ) => 28.71/4.29 ( 28.71/4.29 ~( 28.71/4.29 subset @ 28.71/4.29 X518 @ 28.71/4.29 X520 ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X524:$i, 28.71/4.29 X526:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ~( 28.71/4.29 subset @ 28.71/4.29 X524 @ 28.71/4.29 X526 ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X524 ) != 28.71/4.29 ( 28.71/4.29 X526 ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X528:$i, 28.71/4.29 X530:$i, 28.71/4.29 X532:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X532 @ 28.71/4.29 X528 ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ~( 28.71/4.29 in @ 28.71/4.29 X532 @ 28.71/4.29 X530 ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X528 ) != 28.71/4.29 ( 28.71/4.29 X530 ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X534:$i]: 28.71/4.29 ( 28.71/4.29 subset @ 28.71/4.29 X534 @ 28.71/4.29 X534 ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X536:$i, 28.71/4.29 X538:$i, 28.71/4.29 X540:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 subset @ 28.71/4.29 X536 @ 28.71/4.29 X538 ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 subset @ 28.71/4.29 X538 @ 28.71/4.29 X540 ) => 28.71/4.29 ( 28.71/4.29 subset @ 28.71/4.29 X536 @ 28.71/4.29 X540 ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X542:$i, 28.71/4.29 X544:$i]: 28.71/4.29 ( 28.71/4.29 subset @ 28.71/4.29 X544 @ 28.71/4.29 ( 28.71/4.29 setadjoin 28.71/4.29 @ 28.71/4.29 X542 @ 28.71/4.29 X544 ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X546:$i, 28.71/4.29 X548:$i, 28.71/4.29 X550:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 subset @ 28.71/4.29 X546 @ 28.71/4.29 X550 ) => 28.71/4.29 ( 28.71/4.29 subset @ 28.71/4.29 X546 @ 28.71/4.29 ( 28.71/4.29 setadjoin 28.71/4.29 @ 28.71/4.29 X548 @ 28.71/4.29 X550 ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X552:$i, 28.71/4.29 X554:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 subset @ 28.71/4.29 X552 @ 28.71/4.29 X554 ) => 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X552 @ 28.71/4.29 ( 28.71/4.29 powerset @ 28.71/4.29 X554 ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X556:$i, 28.71/4.29 X558:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 subset @ 28.71/4.29 X556 @ 28.71/4.29 X558 ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 subset @ 28.71/4.29 X558 @ 28.71/4.29 X556 ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X556 ) = 28.71/4.29 ( 28.71/4.29 X558 ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X560:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 subset @ 28.71/4.29 X560 @ 28.71/4.29 emptyset ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X560 ) = 28.71/4.29 ( 28.71/4.29 emptyset ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X562:$i, 28.71/4.29 X564:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 subset @ 28.71/4.29 X564 @ 28.71/4.29 X562 ) => 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X564 @ 28.71/4.29 ( 28.71/4.29 powerset @ 28.71/4.29 X562 ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X566:$i, 28.71/4.29 X568:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X568 @ 28.71/4.29 ( 28.71/4.29 powerset @ 28.71/4.29 X566 ) ) => 28.71/4.29 ( 28.71/4.29 subset @ 28.71/4.29 X568 @ 28.71/4.29 X566 ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X570:$i]: 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X570 @ 28.71/4.29 ( 28.71/4.29 powerset @ 28.71/4.29 X570 ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X572:$i, 28.71/4.29 X574:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 subset @ 28.71/4.29 X572 @ 28.71/4.29 X574 ) => 28.71/4.29 ( 28.71/4.29 subset @ 28.71/4.29 ( 28.71/4.29 powerset @ 28.71/4.29 X572 ) @ 28.71/4.29 ( 28.71/4.29 powerset @ 28.71/4.29 X574 ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X576:$i, 28.71/4.29 X578:( 28.71/4.29 $i > $o )]: 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 ( 28.71/4.29 dsetconstr 28.71/4.29 @ 28.71/4.29 X576 @ 28.71/4.29 ( 28.71/4.29 ^[ 28.71/4.29 V_13:$i]: 28.71/4.29 ( 28.71/4.29 X578 @ 28.71/4.29 V_13 ) ) ) @ 28.71/4.29 ( 28.71/4.29 powerset @ 28.71/4.29 X576 ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X580:$i, 28.71/4.29 X582:( 28.71/4.29 $i > $o )]: 28.71/4.29 ( 28.71/4.29 subset @ 28.71/4.29 ( 28.71/4.29 dsetconstr 28.71/4.29 @ 28.71/4.29 X580 @ 28.71/4.29 ( 28.71/4.29 ^[ 28.71/4.29 V_14:$i]: 28.71/4.29 ( 28.71/4.29 X582 @ 28.71/4.29 V_14 ) ) ) @ 28.71/4.29 X580 ) ) => 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X584:$i, 28.71/4.29 X586:$i, 28.71/4.29 X588:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X588 @ 28.71/4.29 X584 ) => 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X588 @ 28.71/4.29 ( 28.71/4.29 setunion @ 28.71/4.29 ( 28.71/4.29 setadjoin 28.71/4.29 @ 28.71/4.29 X584 @ 28.71/4.29 ( 28.71/4.29 setadjoin 28.71/4.29 @ 28.71/4.29 X586 @ 28.71/4.29 emptyset ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 28.71/4.29 thf(zf_stmt_1, negated_conjecture, 28.71/4.29 (~( ( ![X4:$i,X6:$i]: 28.71/4.29 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 28.71/4.29 ( ( X4 ) = ( X6 ) ) ) ) => 28.71/4.29 ( ( ![X10:$i]: ( ~( in @ X10 @ emptyset ) ) ) => 28.71/4.29 ( ( ![X12:$i,X14:$i,X16:$i]: 28.71/4.29 ( ( in @ X16 @ ( setadjoin @ X12 @ X14 ) ) <=> 28.71/4.29 ( ( in @ X16 @ X14 ) | ( ( X16 ) = ( X12 ) ) ) ) ) => 28.71/4.29 ( ( ![X18:$i,X20:$i]: 28.71/4.29 ( ( in @ X20 @ ( powerset @ X18 ) ) <=> 28.71/4.29 ( ![X22:$i]: ( ( in @ X22 @ X20 ) => ( in @ X22 @ X18 ) ) ) ) ) => 28.71/4.29 ( ( ![X24:$i,X26:$i]: 28.71/4.29 ( ( in @ X26 @ ( setunion @ X24 ) ) <=> 28.71/4.29 ( ?[X28:$i]: ( ( in @ X26 @ X28 ) & ( in @ X28 @ X24 ) ) ) ) ) => 28.71/4.29 ( ( in @ emptyset @ omega ) => 28.71/4.29 ( ( ![X30:$i]: 28.71/4.29 ( ( in @ X30 @ omega ) => 28.71/4.29 ( in @ ( setadjoin @ X30 @ X30 ) @ omega ) ) ) => 28.71/4.29 ( ( ![X32:$i]: 28.71/4.29 ( ( ( ![X34:$i]: 28.71/4.29 ( ( ( in @ X34 @ X32 ) & ( in @ X34 @ omega ) ) => 28.71/4.29 ( in @ ( setadjoin @ X34 @ X34 ) @ X32 ) ) ) & 28.71/4.29 ( in @ emptyset @ X32 ) ) => 28.71/4.29 ( ![X36:$i]: 28.71/4.29 ( ( in @ X36 @ omega ) => ( in @ X36 @ X32 ) ) ) ) ) => 28.71/4.29 ( ( ![X38:( $i > $i > $o ),X40:$i]: 28.71/4.29 ( ( ![X42:$i]: 28.71/4.29 ( ( in @ X42 @ X40 ) => 28.71/4.29 ( ?[X44:$i]: 28.71/4.29 ( ( X38 @ X42 @ X44 ) & 28.71/4.29 ( ![X46:$i]: 28.71/4.29 ( ( X38 @ X42 @ X46 ) => 28.71/4.29 ( ( X44 ) = ( X46 ) ) ) ) ) ) ) ) => 28.71/4.29 ( ?[X48:$i]: 28.71/4.29 ( ![X50:$i]: 28.71/4.29 ( ( in @ X50 @ X48 ) <=> 28.71/4.29 ( ?[X52:$i]: 28.71/4.29 ( ( in @ X52 @ X40 ) & ( X38 @ X52 @ X50 ) ) ) ) ) ) ) ) => 28.71/4.29 ( ( ![X54:$i]: 28.71/4.29 ( ( ?[X56:$i]: ( in @ X56 @ X54 ) ) => 28.71/4.29 ( ?[X58:$i]: 28.71/4.29 ( ( in @ X58 @ X54 ) & 28.71/4.29 ( ~( ?[X60:$i]: 28.71/4.29 ( ( in @ X60 @ X58 ) & 28.71/4.29 ( in @ X60 @ X54 ) ) ) ) ) ) ) ) => 28.71/4.29 ( ( ![X62:$i]: 28.71/4.29 ( ?[X64:$i]: 28.71/4.29 ( ( ![X96:$i]: 28.71/4.29 ( ( in @ X96 @ X64 ) => 28.71/4.29 ( ![X98:$i]: 28.71/4.29 ( ( in @ X98 @ X96 ) => 28.71/4.29 ( in @ X98 @ X62 ) ) ) ) ) & 28.71/4.29 ( ![X90:$i,X92:$i]: 28.71/4.29 ( ( ( in @ X92 @ X62 ) & ( in @ X90 @ X62 ) ) => 28.71/4.29 ( ( ![X94:$i]: 28.71/4.29 ( ( in @ X94 @ X64 ) => 28.71/4.29 ( ( in @ X90 @ X94 ) <=> 28.71/4.29 ( in @ X92 @ X94 ) ) ) ) => 28.71/4.29 ( ( X90 ) = ( X92 ) ) ) ) ) & 28.71/4.29 ( ![X82:$i,X84:$i]: 28.71/4.29 ( ( ( in @ X84 @ X64 ) & ( in @ X82 @ X64 ) ) => 28.71/4.29 ( ( ![X88:$i]: 28.71/4.29 ( ( in @ X88 @ X84 ) => 28.71/4.29 ( in @ X88 @ X82 ) ) ) | 28.71/4.29 ( ![X86:$i]: 28.71/4.29 ( ( in @ X86 @ X82 ) => 28.71/4.29 ( in @ X86 @ X84 ) ) ) ) ) ) & 28.71/4.29 ( ![X66:$i]: 28.71/4.29 ( ( ( ?[X70:$i]: ( in @ X70 @ X66 ) ) & 28.71/4.29 ( ![X68:$i]: 28.71/4.29 ( ( in @ X68 @ X66 ) => 28.71/4.29 ( in @ X68 @ X62 ) ) ) ) => 28.71/4.29 ( ?[X72:$i,X74:$i]: 28.71/4.29 ( ( in @ X72 @ X64 ) & 28.71/4.29 ( in @ X74 @ X66 ) & 28.71/4.29 ( ~( ?[X80:$i]: 28.71/4.29 ( ( in @ X80 @ X72 ) & 28.71/4.29 ( in @ X80 @ X66 ) ) ) ) & 28.71/4.29 ( ![X76:$i]: 28.71/4.29 ( ( in @ X76 @ X64 ) => 28.71/4.29 ( ( in @ X74 @ X76 ) | 28.71/4.29 ( ![X78:$i]: 28.71/4.29 ( ( in @ X78 @ X76 ) => 28.71/4.29 ( in @ X78 @ X72 ) ) ) ) ) ) ) ) ) ) ) ) ) => 28.71/4.29 ( ( ![X100:( $i > $o )]: 28.71/4.29 ( ( ?[X102:$i]: 28.71/4.29 ( ( X100 @ X102 ) & 28.71/4.29 ( ![X104:$i]: 28.71/4.29 ( ( X100 @ X104 ) => 28.71/4.29 ( ( X102 ) = ( X104 ) ) ) ) ) ) => 28.71/4.29 ( X100 @ 28.71/4.29 ( descr @ ( ^[V_1:$i]: ( X100 @ V_1 ) ) ) ) ) ) => 28.71/4.29 ( ( ![X106:$i,X108:( $i > $o ),X110:$i]: 28.71/4.29 ( ( in @ X110 @ X106 ) => 28.71/4.29 ( ( X108 @ X110 ) => 28.71/4.29 ( in @ 28.71/4.29 X110 @ 28.71/4.29 ( dsetconstr @ 28.71/4.29 X106 @ ( ^[V_2:$i]: ( X108 @ V_2 ) ) ) ) ) ) ) => 28.71/4.29 ( ( ![X112:$i,X114:( $i > $o ),X116:$i]: 28.71/4.29 ( ( in @ 28.71/4.29 X116 @ 28.71/4.29 ( dsetconstr @ 28.71/4.29 X112 @ ( ^[V_3:$i]: ( X114 @ V_3 ) ) ) ) => 28.71/4.29 ( in @ X116 @ X112 ) ) ) => 28.71/4.29 ( ( ![X118:$i,X120:( $i > $o ),X122:$i]: 28.71/4.29 ( ( in @ 28.71/4.29 X122 @ 28.71/4.29 ( dsetconstr @ 28.71/4.29 X118 @ 28.71/4.29 ( ^[V_4:$i]: ( X120 @ V_4 ) ) ) ) => 28.71/4.29 ( X120 @ X122 ) ) ) => 28.71/4.29 ( ( ![X124:( $i > $o )]: 28.71/4.29 ( ( ?[X126:$i]: 28.71/4.29 ( ( X124 @ X126 ) & 28.71/4.29 ( ![X128:$i]: 28.71/4.29 ( ( X124 @ X128 ) => 28.71/4.29 ( ( X126 ) = ( X128 ) ) ) ) ) ) => 28.71/4.29 ( ?[X130:$i]: 28.71/4.29 ( ( X124 @ X130 ) & 28.71/4.29 ( ![X132:$i]: 28.71/4.29 ( ( X124 @ X132 ) => 28.71/4.29 ( ( X130 ) = ( X132 ) ) ) ) ) ) ) ) => 28.71/4.29 ( ( ![X134:$o,X136:$i]: 28.71/4.29 ( ( in @ X136 @ ( prop2set @ X134 ) ) => 28.71/4.29 ( X134 ) ) ) => 28.71/4.29 ( ( ![X138:$i]: 28.71/4.29 ( ( in @ X138 @ emptyset ) => 28.71/4.29 ( ![X140:$o]: ( X140 ) ) ) ) => 28.71/4.29 ( ( ![X142:$i]: 28.71/4.29 ( ~( in @ X142 @ emptyset ) ) ) => 28.71/4.29 ( ( ![X144:$i]: 28.71/4.29 ( ~( in @ X144 @ emptyset ) ) ) => 28.71/4.29 ( ( ![X146:( $i > $o )]: 28.71/4.29 ( ( ?[X148:$i]: 28.71/4.29 ( ( X146 @ X148 ) & 28.71/4.29 ( ![X150:$i]: 28.71/4.29 ( ( X146 @ X150 ) => 28.71/4.29 ( ( X148 ) = 28.71/4.29 ( X150 ) ) ) ) ) ) => 28.71/4.29 ( ?[X152:$i]: 28.71/4.29 ( X146 @ X152 ) ) ) ) => 28.71/4.29 ( ( ![X154:$i,X156:$i]: 28.71/4.29 ( ( ![X158:$i]: 28.71/4.29 ( ( in @ X158 @ X154 ) => 28.71/4.29 ( in @ X158 @ X156 ) ) ) => 28.71/4.29 ( ( ![X160:$i]: 28.71/4.29 ( ( in @ X160 @ X156 ) => 28.71/4.29 ( in @ X160 @ X154 ) ) ) => 28.71/4.29 ( ( X154 ) = ( X156 ) ) ) ) ) => 28.71/4.29 ( ( ![X162:$i]: 28.71/4.29 ( ( ![X164:$i]: 28.71/4.29 ( ~( in @ X164 @ X162 ) ) ) => 28.71/4.29 ( ( X162 ) = 28.71/4.29 ( emptyset ) ) ) ) => 28.71/4.29 ( ( ![X166:$i]: 28.71/4.29 ( ( ![X168:$i]: 28.71/4.29 ( ~( in @ 28.71/4.29 X168 @ X166 ) ) ) => 28.71/4.29 ( ( X166 ) = 28.71/4.29 ( emptyset ) ) ) ) => 28.71/4.29 ( ( ![X170:$i, 28.71/4.29 X172:( $i > $o ), 28.71/4.29 X174:$i]: 28.71/4.29 ( ( in @ X174 @ X170 ) => 28.71/4.29 ( ( in @ 28.71/4.29 X174 @ 28.71/4.29 ( dsetconstr @ 28.71/4.29 X170 @ 28.71/4.29 ( ^[V_5:$i]: 28.71/4.29 ( X172 @ 28.71/4.29 V_5 ) ) ) ) <=> 28.71/4.29 ( X172 @ X174 ) ) ) ) => 28.71/4.29 ( ( ![X176:$i]: 28.71/4.29 ( ( ( X176 ) != 28.71/4.29 ( emptyset ) ) => 28.71/4.29 ( ?[X178:$i]: 28.71/4.29 ( in @ 28.71/4.29 X178 @ X176 ) ) ) ) => 28.71/4.29 ( ( ![X180:$i, 28.71/4.29 X182:( 28.71/4.29 $i > $o ), 28.71/4.29 X184:$i]: 28.71/4.29 ( ( in @ 28.71/4.29 X184 @ X180 ) => 28.71/4.29 ( ( X182 @ X184 ) => 28.71/4.29 ( ( dsetconstr 28.71/4.29 @ 28.71/4.29 X180 @ 28.71/4.29 ( 28.71/4.29 ^[ 28.71/4.29 V_6:$i]: 28.71/4.29 ( 28.71/4.29 X182 @ 28.71/4.29 V_6 ) ) ) != 28.71/4.29 ( emptyset ) ) ) ) ) => 28.71/4.29 ( ( ![X186:$i]: 28.71/4.29 ( ( ?[X188:$i]: 28.71/4.29 ( in @ 28.71/4.29 X188 @ 28.71/4.29 X186 ) ) => 28.71/4.29 ( ( X186 ) != 28.71/4.29 ( emptyset ) ) ) ) => 28.71/4.29 ( ( ![X190:$i, 28.71/4.29 X192:$i]: 28.71/4.29 ( in @ 28.71/4.29 X190 @ 28.71/4.29 ( setadjoin 28.71/4.29 @ 28.71/4.29 X190 @ 28.71/4.29 X192 ) ) ) => 28.71/4.29 ( ( in @ 28.71/4.29 emptyset @ 28.71/4.29 ( setadjoin 28.71/4.29 @ 28.71/4.29 emptyset @ 28.71/4.29 emptyset ) ) => 28.71/4.29 ( ( ![ 28.71/4.29 X194:$i, 28.71/4.29 X196:$i, 28.71/4.29 X198:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X198 @ 28.71/4.29 X196 ) => 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X198 @ 28.71/4.29 ( 28.71/4.29 setadjoin 28.71/4.29 @ 28.71/4.29 X194 @ 28.71/4.29 X196 ) ) ) ) => 28.71/4.29 ( ( 28.71/4.29 ![ 28.71/4.29 X200:$i, 28.71/4.29 X202:$i, 28.71/4.29 X204:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X204 @ 28.71/4.29 ( 28.71/4.29 setadjoin 28.71/4.29 @ 28.71/4.29 X200 @ 28.71/4.29 X202 ) ) => 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X206:$o]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X204 ) = 28.71/4.29 ( 28.71/4.29 X200 ) ) => 28.71/4.29 ( 28.71/4.29 X206 ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X204 @ 28.71/4.29 X202 ) => 28.71/4.29 ( 28.71/4.29 X206 ) ) => 28.71/4.29 ( 28.71/4.29 X206 ) ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X208:$i, 28.71/4.29 X210:$i, 28.71/4.29 X212:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X212 @ 28.71/4.29 ( 28.71/4.29 setadjoin 28.71/4.29 @ 28.71/4.29 X208 @ 28.71/4.29 X210 ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X212 @ 28.71/4.29 X210 ) | 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X212 ) = 28.71/4.29 ( 28.71/4.29 X208 ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X214:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 dsetconstr 28.71/4.29 @ 28.71/4.29 X214 @ 28.71/4.29 ( 28.71/4.29 ^[ 28.71/4.29 V_7:$i]: 28.71/4.29 ( 28.71/4.29 $true ) ) ) = 28.71/4.29 ( 28.71/4.29 X214 ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X216:$i, 28.71/4.29 X218:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X220:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X220 @ 28.71/4.29 X218 ) => 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X220 @ 28.71/4.29 X216 ) ) ) => 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X218 @ 28.71/4.29 ( 28.71/4.29 powerset 28.71/4.29 @ 28.71/4.29 X216 ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X222:$i]: 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 emptyset @ 28.71/4.29 ( 28.71/4.29 powerset 28.71/4.29 @ 28.71/4.29 X222 ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X224:$i]: 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 emptyset @ 28.71/4.29 ( 28.71/4.29 powerset 28.71/4.29 @ 28.71/4.29 X224 ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X226:$i, 28.71/4.29 X228:$i, 28.71/4.29 X230:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X228 @ 28.71/4.29 ( 28.71/4.29 powerset 28.71/4.29 @ 28.71/4.29 X226 ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X230 @ 28.71/4.29 X228 ) => 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X230 @ 28.71/4.29 X226 ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X232:$i, 28.71/4.29 X234:$i, 28.71/4.29 X236:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X234 @ 28.71/4.29 X236 ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X236 @ 28.71/4.29 X232 ) => 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X234 @ 28.71/4.29 ( 28.71/4.29 setunion 28.71/4.29 @ 28.71/4.29 X232 ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X238:$i, 28.71/4.29 X240:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X240 @ 28.71/4.29 ( 28.71/4.29 setunion 28.71/4.29 @ 28.71/4.29 X238 ) ) => 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X242:$o]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X244:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X240 @ 28.71/4.29 X244 ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X244 @ 28.71/4.29 X238 ) => 28.71/4.29 ( 28.71/4.29 X242 ) ) ) ) => 28.71/4.29 ( 28.71/4.29 X242 ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X246:$i, 28.71/4.29 X248:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X248 @ 28.71/4.29 X246 ) => 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X248 @ 28.71/4.29 ( 28.71/4.29 powerset 28.71/4.29 @ 28.71/4.29 ( 28.71/4.29 setunion 28.71/4.29 @ 28.71/4.29 X246 ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X250:( 28.71/4.29 $i > $o )]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ?[ 28.71/4.29 X252:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X250 @ 28.71/4.29 X252 ) & 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X254:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X250 @ 28.71/4.29 X254 ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X252 ) = 28.71/4.29 ( 28.71/4.29 X254 ) ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ?[ 28.71/4.29 X256:$i]: 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X258:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X250 @ 28.71/4.29 X258 ) <=> 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X258 ) = 28.71/4.29 ( 28.71/4.29 X256 ) ) ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X260:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X260 ) != 28.71/4.29 ( 28.71/4.29 emptyset ) ) => 28.71/4.29 ( 28.71/4.29 ?[ 28.71/4.29 X262:$i]: 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X262 @ 28.71/4.29 X260 ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X264:$i, 28.71/4.29 X266:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X264 @ 28.71/4.29 ( 28.71/4.29 setadjoin 28.71/4.29 @ 28.71/4.29 X266 @ 28.71/4.29 emptyset ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X264 ) = 28.71/4.29 ( 28.71/4.29 X266 ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X268:$i, 28.71/4.29 X270:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X268 ) != 28.71/4.29 ( 28.71/4.29 X270 ) ) => 28.71/4.29 ( 28.71/4.29 ~ 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X270 @ 28.71/4.29 ( 28.71/4.29 setadjoin 28.71/4.29 @ 28.71/4.29 X268 @ 28.71/4.29 emptyset ) ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X272:$i, 28.71/4.29 X274:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 X272 ) = 28.71/4.29 ( 28.71/4.29 X274 ) ) => 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X272 @ 28.71/4.29 ( 28.71/4.29 setadjoin 28.71/4.29 @ 28.71/4.29 X274 @ 28.71/4.29 emptyset ) ) ) ) => 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 ![ 28.71/4.29 X276:$i, 28.71/4.29 X278:$i]: 28.71/4.29 ( 28.71/4.29 ( 28.71/4.29 in @ 28.71/4.29 X276 @ 28.71/4.29 ( 28.71/4.29 setadjoin 28.71/4.29 @ 28.71/4.29 X278 @ 28.71/4.29 emptyset ) ) => 28.71/4.29 ( 28.71/4.29 in @ 29.38/4.29 X278 @ 29.38/4.29 ( 29.38/4.29 setadjoin 29.38/4.29 @ 29.38/4.29 X276 @ 29.38/4.29 emptyset ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X280:$i, 29.38/4.29 X282:$i, 29.38/4.29 X284:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X284 @ 29.38/4.29 ( 29.38/4.29 setadjoin 29.38/4.29 @ 29.38/4.29 X280 @ 29.38/4.29 ( 29.38/4.29 setadjoin 29.38/4.29 @ 29.38/4.29 X282 @ 29.38/4.29 emptyset ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X284 ) = 29.38/4.29 ( 29.38/4.29 X282 ) ) | 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X284 ) = 29.38/4.29 ( 29.38/4.29 X280 ) ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X286:$i, 29.38/4.29 X288:$i]: 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X286 @ 29.38/4.29 ( 29.38/4.29 setadjoin 29.38/4.29 @ 29.38/4.29 X286 @ 29.38/4.29 ( 29.38/4.29 setadjoin 29.38/4.29 @ 29.38/4.29 X288 @ 29.38/4.29 emptyset ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X290:$i, 29.38/4.29 X292:$i]: 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X292 @ 29.38/4.29 ( 29.38/4.29 setadjoin 29.38/4.29 @ 29.38/4.29 X290 @ 29.38/4.29 ( 29.38/4.29 setadjoin 29.38/4.29 @ 29.38/4.29 X292 @ 29.38/4.29 emptyset ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X294:$i, 29.38/4.29 X296:( 29.38/4.29 $i > $o )]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ?[ 29.38/4.29 X298:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X298 @ 29.38/4.29 X294 ) & 29.38/4.29 ( 29.38/4.29 X296 @ 29.38/4.29 X298 ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 dsetconstr 29.38/4.29 @ 29.38/4.29 X294 @ 29.38/4.29 ( 29.38/4.29 ^[ 29.38/4.29 V_8:$i]: 29.38/4.29 ( 29.38/4.29 X296 @ 29.38/4.29 V_8 ) ) ) != 29.38/4.29 ( 29.38/4.29 emptyset ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X300:( 29.38/4.29 $i > $o ), 29.38/4.29 X302:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X302 @ 29.38/4.29 emptyset ) => 29.38/4.29 ( 29.38/4.29 X300 @ 29.38/4.29 X302 ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X304:$i, 29.38/4.29 X306:( 29.38/4.29 $i > $o )]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ~ 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X308:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X308 @ 29.38/4.29 X304 ) => 29.38/4.29 ( 29.38/4.29 X306 @ 29.38/4.29 X308 ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ?[ 29.38/4.29 X310:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X310 @ 29.38/4.29 X304 ) & 29.38/4.29 ( 29.38/4.29 ~ 29.38/4.29 ( 29.38/4.29 X306 @ 29.38/4.29 X310 ) ) ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X312:$i, 29.38/4.29 X314:( 29.38/4.29 $i > $o )]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X316:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X316 @ 29.38/4.29 X312 ) => 29.38/4.29 ( 29.38/4.29 ~ 29.38/4.29 ( 29.38/4.29 X314 @ 29.38/4.29 X316 ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ~ 29.38/4.29 ( 29.38/4.29 ?[ 29.38/4.29 X318:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X318 @ 29.38/4.29 X312 ) & 29.38/4.29 ( 29.38/4.29 X314 @ 29.38/4.29 X318 ) ) ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X320:$i, 29.38/4.29 X322:( 29.38/4.29 $i > $o )]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ~ 29.38/4.29 ( 29.38/4.29 ?[ 29.38/4.29 X324:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X324 @ 29.38/4.29 X320 ) & 29.38/4.29 ( 29.38/4.29 X322 @ 29.38/4.29 X324 ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X326:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X326 @ 29.38/4.29 X320 ) => 29.38/4.29 ( 29.38/4.29 ~ 29.38/4.29 ( 29.38/4.29 X322 @ 29.38/4.29 X326 ) ) ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X328:$i, 29.38/4.29 X330:( 29.38/4.29 $i > $o )]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ?[ 29.38/4.29 X332:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X332 @ 29.38/4.29 X328 ) & 29.38/4.29 ( 29.38/4.29 ~ 29.38/4.29 ( 29.38/4.29 X330 @ 29.38/4.29 X332 ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ~ 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X334:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X334 @ 29.38/4.29 X328 ) => 29.38/4.29 ( 29.38/4.29 X330 @ 29.38/4.29 X334 ) ) ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X336:$o]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X336 ) => 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 emptyset @ 29.38/4.29 ( 29.38/4.29 prop2set 29.38/4.29 @ 29.38/4.29 X336 ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X338:$o]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X338 ) => 29.38/4.29 ( 29.38/4.29 set2prop 29.38/4.29 @ 29.38/4.29 ( 29.38/4.29 prop2set 29.38/4.29 @ 29.38/4.29 X338 ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X340:$i, 29.38/4.29 X342:( 29.38/4.29 $i > $o )]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ~ 29.38/4.29 ( 29.38/4.29 ?[ 29.38/4.29 X344:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X344 @ 29.38/4.29 X340 ) & 29.38/4.29 ( 29.38/4.29 X342 @ 29.38/4.29 X344 ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X346:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X346 @ 29.38/4.29 X340 ) => 29.38/4.29 ( 29.38/4.29 ~ 29.38/4.29 ( 29.38/4.29 X342 @ 29.38/4.29 X346 ) ) ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X348:$i, 29.38/4.29 X350:( 29.38/4.29 $i > $o )]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ~ 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X352:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X352 @ 29.38/4.29 X348 ) => 29.38/4.29 ( 29.38/4.29 X350 @ 29.38/4.29 X352 ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ?[ 29.38/4.29 X354:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X354 @ 29.38/4.29 X348 ) & 29.38/4.29 ( 29.38/4.29 ~ 29.38/4.29 ( 29.38/4.29 X350 @ 29.38/4.29 X354 ) ) ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X356:( 29.38/4.29 $i > $o )]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ?[ 29.38/4.29 X358:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X356 @ 29.38/4.29 X358 ) & 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X360:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X356 @ 29.38/4.29 X360 ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X358 ) = 29.38/4.29 ( 29.38/4.29 X360 ) ) ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ?[ 29.38/4.29 X362:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X356 @ 29.38/4.29 X362 ) & 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X364:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X356 @ 29.38/4.29 X364 ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X362 ) = 29.38/4.29 ( 29.38/4.29 X364 ) ) ) ) ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X366:( 29.38/4.29 $i > $o )]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ?[ 29.38/4.29 X368:$i]: 29.38/4.29 ( 29.38/4.29 X366 @ 29.38/4.29 X368 ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X370:$i, 29.38/4.29 X372:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X366 @ 29.38/4.29 X370 ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X366 @ 29.38/4.29 X372 ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X370 ) = 29.38/4.29 ( 29.38/4.29 X372 ) ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ?[ 29.38/4.29 X374:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X366 @ 29.38/4.29 X374 ) & 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X376:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X366 @ 29.38/4.29 X376 ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X374 ) = 29.38/4.29 ( 29.38/4.29 X376 ) ) ) ) ) ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X378:( 29.38/4.29 $i > $o )]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ?[ 29.38/4.29 X380:$i]: 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X382:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X378 @ 29.38/4.29 X382 ) <=> 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X382 ) = 29.38/4.29 ( 29.38/4.29 X380 ) ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ?[ 29.38/4.29 X384:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X378 @ 29.38/4.29 X384 ) & 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X386:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X378 @ 29.38/4.29 X386 ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X384 ) = 29.38/4.29 ( 29.38/4.29 X386 ) ) ) ) ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X388:$i, 29.38/4.29 X390:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X388 ) = 29.38/4.29 ( 29.38/4.29 X390 ) ) => 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X392:$i, 29.38/4.29 X394:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X392 ) = 29.38/4.29 ( 29.38/4.29 X394 ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X392 @ 29.38/4.29 X388 ) => 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X394 @ 29.38/4.29 X390 ) ) ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X396:$i, 29.38/4.29 X398:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X396 ) = 29.38/4.29 ( 29.38/4.29 X398 ) ) => 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X400:$i, 29.38/4.29 X402:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X400 ) = 29.38/4.29 ( 29.38/4.29 X402 ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X400 @ 29.38/4.29 X396 ) <=> 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X402 @ 29.38/4.29 X398 ) ) ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X404:( 29.38/4.29 $i > $o )]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ?[ 29.38/4.29 X406:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X404 @ 29.38/4.29 X406 ) & 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X408:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X404 @ 29.38/4.29 X408 ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X406 ) = 29.38/4.29 ( 29.38/4.29 X408 ) ) ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X410:$i, 29.38/4.29 X412:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X404 @ 29.38/4.29 X410 ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X404 @ 29.38/4.29 X412 ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X410 ) = 29.38/4.29 ( 29.38/4.29 X412 ) ) ) ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X414:( 29.38/4.29 $i > $o ), 29.38/4.29 X416:( 29.38/4.29 $i > $o )]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X418:$i, 29.38/4.29 X420:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X418 ) = 29.38/4.29 ( 29.38/4.29 X420 ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X414 @ 29.38/4.29 X418 ) <=> 29.38/4.29 ( 29.38/4.29 X416 @ 29.38/4.29 X420 ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ?[ 29.38/4.29 X422:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X414 @ 29.38/4.29 X422 ) & 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X424:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X414 @ 29.38/4.29 X424 ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X422 ) = 29.38/4.29 ( 29.38/4.29 X424 ) ) ) ) ) ) <=> 29.38/4.29 ( 29.38/4.29 ?[ 29.38/4.29 X426:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X416 @ 29.38/4.29 X426 ) & 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X428:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X416 @ 29.38/4.29 X428 ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X426 ) = 29.38/4.29 ( 29.38/4.29 X428 ) ) ) ) ) ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 emptyset ) = 29.38/4.29 ( 29.38/4.29 emptyset ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X430:$i, 29.38/4.29 X432:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X430 ) = 29.38/4.29 ( 29.38/4.29 X432 ) ) => 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X434:$i, 29.38/4.29 X436:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X434 ) = 29.38/4.29 ( 29.38/4.29 X436 ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 setadjoin 29.38/4.29 @ 29.38/4.29 X430 @ 29.38/4.29 X434 ) = 29.38/4.29 ( 29.38/4.29 setadjoin 29.38/4.29 @ 29.38/4.29 X432 @ 29.38/4.29 X436 ) ) ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X438:$i, 29.38/4.29 X440:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X438 ) = 29.38/4.29 ( 29.38/4.29 X440 ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 powerset 29.38/4.29 @ 29.38/4.29 X438 ) = 29.38/4.29 ( 29.38/4.29 powerset 29.38/4.29 @ 29.38/4.29 X440 ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X442:$i, 29.38/4.29 X444:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X442 ) = 29.38/4.29 ( 29.38/4.29 X444 ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 setunion 29.38/4.29 @ 29.38/4.29 X442 ) = 29.38/4.29 ( 29.38/4.29 setunion 29.38/4.29 @ 29.38/4.29 X444 ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 omega ) = 29.38/4.29 ( 29.38/4.29 omega ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X446:( 29.38/4.29 $i > $o )]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ?[ 29.38/4.29 X448:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X446 @ 29.38/4.29 X448 ) & 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X450:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X446 @ 29.38/4.29 X450 ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X448 ) = 29.38/4.29 ( 29.38/4.29 X450 ) ) ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X452:$i, 29.38/4.29 X454:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X446 @ 29.38/4.29 X452 ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X446 @ 29.38/4.29 X454 ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X452 ) = 29.38/4.29 ( 29.38/4.29 X454 ) ) ) ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X456:( 29.38/4.29 $i > $o ), 29.38/4.29 X458:( 29.38/4.29 $i > $o )]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X460:$i, 29.38/4.29 X462:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X460 ) = 29.38/4.29 ( 29.38/4.29 X462 ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X456 @ 29.38/4.29 X460 ) <=> 29.38/4.29 ( 29.38/4.29 X458 @ 29.38/4.29 X462 ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ?[ 29.38/4.29 X464:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X456 @ 29.38/4.29 X464 ) & 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X466:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X456 @ 29.38/4.29 X466 ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X464 ) = 29.38/4.29 ( 29.38/4.29 X466 ) ) ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ?[ 29.38/4.29 X468:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X458 @ 29.38/4.29 X468 ) & 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X470:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X458 @ 29.38/4.29 X470 ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X468 ) = 29.38/4.29 ( 29.38/4.29 X470 ) ) ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 descr @ 29.38/4.29 ( 29.38/4.29 ^[ 29.38/4.29 V_9:$i]: 29.38/4.29 ( 29.38/4.29 X456 @ 29.38/4.29 V_9 ) ) ) = 29.38/4.29 ( 29.38/4.29 descr @ 29.38/4.29 ( 29.38/4.29 ^[ 29.38/4.29 V_10:$i]: 29.38/4.29 ( 29.38/4.29 X458 @ 29.38/4.29 V_10 ) ) ) ) ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X472:$i, 29.38/4.29 X474:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X472 ) = 29.38/4.29 ( 29.38/4.29 X474 ) ) => 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X476:( 29.38/4.29 $i > $o ), 29.38/4.29 X478:( 29.38/4.29 $i > $o )]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X480:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X480 @ 29.38/4.29 X472 ) => 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X482:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X482 @ 29.38/4.29 X474 ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X480 ) = 29.38/4.29 ( 29.38/4.29 X482 ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X476 @ 29.38/4.29 X480 ) <=> 29.38/4.29 ( 29.38/4.29 X478 @ 29.38/4.29 X482 ) ) ) ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 dsetconstr 29.38/4.29 @ 29.38/4.29 X472 @ 29.38/4.29 ( 29.38/4.29 ^[ 29.38/4.29 V_11:$i]: 29.38/4.29 ( 29.38/4.29 X476 @ 29.38/4.29 V_11 ) ) ) = 29.38/4.29 ( 29.38/4.29 dsetconstr 29.38/4.29 @ 29.38/4.29 X474 @ 29.38/4.29 ( 29.38/4.29 ^[ 29.38/4.29 V_12:$i]: 29.38/4.29 ( 29.38/4.29 X478 @ 29.38/4.29 V_12 ) ) ) ) ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X484:$i, 29.38/4.29 X486:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X488:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X488 @ 29.38/4.29 X484 ) => 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X488 @ 29.38/4.29 X486 ) ) ) => 29.38/4.29 ( 29.38/4.29 subset @ 29.38/4.29 X484 @ 29.38/4.29 X486 ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X490:$i, 29.38/4.29 X492:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X490 ) = 29.38/4.29 ( 29.38/4.29 X492 ) ) => 29.38/4.29 ( 29.38/4.29 subset @ 29.38/4.29 X492 @ 29.38/4.29 X490 ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X494:$i, 29.38/4.29 X496:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X494 ) = 29.38/4.29 ( 29.38/4.29 X496 ) ) => 29.38/4.29 ( 29.38/4.29 subset @ 29.38/4.29 X494 @ 29.38/4.29 X496 ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X498:$i, 29.38/4.29 X500:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X502:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X502 @ 29.38/4.29 X498 ) => 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X502 @ 29.38/4.29 X500 ) ) ) => 29.38/4.29 ( 29.38/4.29 subset @ 29.38/4.29 X498 @ 29.38/4.29 X500 ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X504:$i]: 29.38/4.29 ( 29.38/4.29 subset @ 29.38/4.29 emptyset @ 29.38/4.29 X504 ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X506:$i, 29.38/4.29 X508:$i, 29.38/4.29 X510:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 subset @ 29.38/4.29 X506 @ 29.38/4.29 X508 ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X510 @ 29.38/4.29 X506 ) => 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X510 @ 29.38/4.29 X508 ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X512:$i, 29.38/4.29 X514:$i, 29.38/4.29 X516:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 subset @ 29.38/4.29 X512 @ 29.38/4.29 X514 ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ~ 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X516 @ 29.38/4.29 X514 ) ) => 29.38/4.29 ( 29.38/4.29 ~ 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X516 @ 29.38/4.29 X512 ) ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X518:$i, 29.38/4.29 X520:$i, 29.38/4.29 X522:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X522 @ 29.38/4.29 X518 ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ~ 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X522 @ 29.38/4.29 X520 ) ) => 29.38/4.29 ( 29.38/4.29 ~ 29.38/4.29 ( 29.38/4.29 subset @ 29.38/4.29 X518 @ 29.38/4.29 X520 ) ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X524:$i, 29.38/4.29 X526:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ~ 29.38/4.29 ( 29.38/4.29 subset @ 29.38/4.29 X524 @ 29.38/4.29 X526 ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X524 ) != 29.38/4.29 ( 29.38/4.29 X526 ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X528:$i, 29.38/4.29 X530:$i, 29.38/4.29 X532:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X532 @ 29.38/4.29 X528 ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ~ 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X532 @ 29.38/4.29 X530 ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X528 ) != 29.38/4.29 ( 29.38/4.29 X530 ) ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X534:$i]: 29.38/4.29 ( 29.38/4.29 subset @ 29.38/4.29 X534 @ 29.38/4.29 X534 ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X536:$i, 29.38/4.29 X538:$i, 29.38/4.29 X540:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 subset @ 29.38/4.29 X536 @ 29.38/4.29 X538 ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 subset @ 29.38/4.29 X538 @ 29.38/4.29 X540 ) => 29.38/4.29 ( 29.38/4.29 subset @ 29.38/4.29 X536 @ 29.38/4.29 X540 ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X542:$i, 29.38/4.29 X544:$i]: 29.38/4.29 ( 29.38/4.29 subset @ 29.38/4.29 X544 @ 29.38/4.29 ( 29.38/4.29 setadjoin 29.38/4.29 @ 29.38/4.29 X542 @ 29.38/4.29 X544 ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X546:$i, 29.38/4.29 X548:$i, 29.38/4.29 X550:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 subset @ 29.38/4.29 X546 @ 29.38/4.29 X550 ) => 29.38/4.29 ( 29.38/4.29 subset @ 29.38/4.29 X546 @ 29.38/4.29 ( 29.38/4.29 setadjoin 29.38/4.29 @ 29.38/4.29 X548 @ 29.38/4.29 X550 ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X552:$i, 29.38/4.29 X554:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 subset @ 29.38/4.29 X552 @ 29.38/4.29 X554 ) => 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X552 @ 29.38/4.29 ( 29.38/4.29 powerset 29.38/4.29 @ 29.38/4.29 X554 ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X556:$i, 29.38/4.29 X558:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 subset @ 29.38/4.29 X556 @ 29.38/4.29 X558 ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 subset @ 29.38/4.29 X558 @ 29.38/4.29 X556 ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X556 ) = 29.38/4.29 ( 29.38/4.29 X558 ) ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X560:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 subset @ 29.38/4.29 X560 @ 29.38/4.29 emptyset ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 X560 ) = 29.38/4.29 ( 29.38/4.29 emptyset ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X562:$i, 29.38/4.29 X564:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 subset @ 29.38/4.29 X564 @ 29.38/4.29 X562 ) => 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X564 @ 29.38/4.29 ( 29.38/4.29 powerset 29.38/4.29 @ 29.38/4.29 X562 ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X566:$i, 29.38/4.29 X568:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X568 @ 29.38/4.29 ( 29.38/4.29 powerset 29.38/4.29 @ 29.38/4.29 X566 ) ) => 29.38/4.29 ( 29.38/4.29 subset @ 29.38/4.29 X568 @ 29.38/4.29 X566 ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X570:$i]: 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X570 @ 29.38/4.29 ( 29.38/4.29 powerset 29.38/4.29 @ 29.38/4.29 X570 ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X572:$i, 29.38/4.29 X574:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 subset @ 29.38/4.29 X572 @ 29.38/4.29 X574 ) => 29.38/4.29 ( 29.38/4.29 subset @ 29.38/4.29 ( 29.38/4.29 powerset 29.38/4.29 @ 29.38/4.29 X572 ) @ 29.38/4.29 ( 29.38/4.29 powerset 29.38/4.29 @ 29.38/4.29 X574 ) ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X576:$i, 29.38/4.29 X578:( 29.38/4.29 $i > $o )]: 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 ( 29.38/4.29 dsetconstr 29.38/4.29 @ 29.38/4.29 X576 @ 29.38/4.29 ( 29.38/4.29 ^[ 29.38/4.29 V_13:$i]: 29.38/4.29 ( 29.38/4.29 X578 @ 29.38/4.29 V_13 ) ) ) @ 29.38/4.29 ( 29.38/4.29 powerset 29.38/4.29 @ 29.38/4.29 X576 ) ) ) => 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X580:$i, 29.38/4.29 X582:( 29.38/4.29 $i > $o )]: 29.38/4.29 ( 29.38/4.29 subset @ 29.38/4.29 ( 29.38/4.29 dsetconstr 29.38/4.29 @ 29.38/4.29 X580 @ 29.38/4.29 ( 29.38/4.29 ^[ 29.38/4.29 V_14:$i]: 29.38/4.29 ( 29.38/4.29 X582 @ 29.38/4.29 V_14 ) ) ) @ 29.38/4.29 X580 ) ) => 29.38/4.29 ( 29.38/4.29 ![ 29.38/4.29 X584:$i, 29.38/4.29 X586:$i, 29.38/4.29 X588:$i]: 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X588 @ 29.38/4.29 X584 ) => 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 X588 @ 29.38/4.29 ( 29.38/4.29 setunion 29.38/4.29 @ 29.38/4.29 ( 29.38/4.29 setadjoin 29.38/4.29 @ 29.38/4.29 X584 @ 29.38/4.29 ( 29.38/4.29 setadjoin 29.38/4.29 @ 29.38/4.29 X586 @ 29.38/4.29 emptyset ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 29.38/4.29 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 29.38/4.29 thf(zip_derived_cl2027, plain, 29.38/4.29 (~ (((((!!) @ (^[Y0 : $i]: 29.38/4.29 (((!!) @ (^[Y1 : $i]: 29.38/4.29 (((((!!) @ (^[Y2 : $i]: 29.38/4.29 (((in @ Y2 @ Y0) <=> (in @ 29.38/4.29 Y2 @ Y1)))))) => 29.38/4.29 (((Y0) = (Y1))))))))))) => 29.38/4.29 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 29.38/4.29 (((((!!) @ (^[Y0 : $i]: 29.38/4.29 (((!!) @ (^[Y1 : $i]: 29.38/4.29 (((!!) @ (^[Y2 : $i]: 29.38/4.29 (((in @ Y2 @ 29.38/4.29 (setadjoin @ Y0 @ Y1)) <=> 29.38/4.29 (((in @ Y2 @ Y1) | 29.38/4.29 (((Y2) = (Y0)))))))))))))))) => 29.38/4.29 (((((!!) @ (^[Y0 : $i]: 29.38/4.29 (((!!) @ (^[Y1 : $i]: 29.38/4.29 (((in @ Y1 @ (powerset @ Y0)) <=> 29.38/4.29 (((!!) @ (^[Y2 : $i]: 29.38/4.29 (((in @ Y2 @ Y1) => 29.38/4.29 (in @ Y2 @ Y0)))))))))))))) => 29.38/4.29 (((((!!) @ (^[Y0 : $i]: 29.38/4.29 (((!!) @ (^[Y1 : $i]: 29.38/4.29 (((in @ Y1 @ (setunion @ Y0)) <=> 29.38/4.29 (((??) @ (^[Y2 : $i]: 29.38/4.29 (((in @ Y1 @ Y2) & 29.38/4.29 (in @ Y2 @ Y0)))))))))))))) => 29.38/4.29 (((in @ emptyset @ omega) => 29.38/4.29 (((((!!) @ (^[Y0 : $i]: 29.38/4.29 (((in @ Y0 @ omega) => (in @ 29.38/4.29 (setadjoin @ Y0 @ Y0) @ omega)))))) => 29.38/4.29 (((((!!) @ (^[Y0 : $i]: 29.38/4.29 (((((((!!) @ (^[Y1 : $i]: 29.38/4.29 (((((in @ Y1 @ Y0) & 29.38/4.29 (in @ Y1 @ omega))) => 29.38/4.29 (in @ 29.38/4.29 (setadjoin @ Y1 @ Y1) @ 29.38/4.29 Y0)))))) & 29.38/4.29 (in @ emptyset @ Y0))) => 29.38/4.29 (((!!) @ (^[Y1 : $i]: 29.38/4.29 (((in @ Y1 @ omega) => 29.38/4.29 (in @ Y1 @ Y0))))))))))) => 29.38/4.29 (((((!!) @ (^[Y0 : $i > $i > $o]: 29.38/4.29 (((!!) @ (^[Y1 : $i]: 29.38/4.29 (((((!!) @ (^[Y2 : $i]: 29.38/4.29 (((in @ Y2 @ 29.38/4.29 Y1) => 29.38/4.29 (((??) @ ( 29.38/4.29 ^[Y3 : $i]: 29.38/4.29 (( 29.38/4.29 (Y0 @ 29.38/4.29 Y2 @ 29.38/4.29 Y3) & 29.38/4.29 (( 29.38/4.29 (!!) @ ( 29.38/4.29 ^[Y4 : $i]: 29.38/4.29 (( 29.38/4.29 (Y0 @ 29.38/4.29 Y2 @ 29.38/4.29 Y4) => 29.38/4.29 (( 29.38/4.29 (Y3) = 29.38/4.29 (Y4)))))))))))))))))) => 29.38/4.29 (((??) @ (^[Y2 : $i]: 29.38/4.29 (((!!) @ ( 29.38/4.29 ^[Y3 : $i]: 29.38/4.29 (( 29.38/4.29 (in @ 29.38/4.29 Y3 @ 29.38/4.29 Y2) <=> 29.38/4.29 (( 29.38/4.29 (??) @ ( 29.38/4.29 ^[Y4 : $i]: 29.38/4.29 (( 29.38/4.29 (in @ 29.38/4.29 Y4 @ 29.38/4.29 Y1) & 29.38/4.29 (Y0 @ 29.38/4.29 Y4 @ Y3)))))))))))))))))))))) => 29.38/4.29 (((((!!) @ (^[Y0 : $i]: 29.38/4.29 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 29.38/4.29 (((??) @ (^[Y1 : $i]: 29.38/4.29 (((in @ Y1 @ Y0) & 29.38/4.29 (((~) @ (((??) @ ( 29.38/4.29 ^[Y2 : $i]: 29.38/4.29 (( 29.38/4.29 (in @ 29.38/4.29 Y2 @ 29.38/4.29 Y1) & 29.38/4.29 (in @ 29.38/4.29 Y2 @ Y0)))))))))))))))))) => 29.38/4.29 (((((!!) @ (^[Y0 : $i]: 29.38/4.29 (((??) @ (^[Y1 : $i]: 29.38/4.29 (((((!!) @ (^[Y2 : $i]: 29.38/4.29 (( 29.38/4.29 (in @ 29.38/4.29 Y2 @ 29.38/4.29 Y1) => 29.38/4.29 (( 29.38/4.29 (!!) @ ( 29.38/4.29 ^[Y3 : $i]: 29.38/4.29 (( 29.38/4.29 (in @ 29.38/4.29 Y3 @ 29.38/4.29 Y2) => 29.38/4.29 (in @ 29.38/4.29 Y3 @ Y0))))))))))) & 29.38/4.29 (((!!) @ (^[Y2 : $i]: 29.38/4.29 (( 29.38/4.29 (!!) @ ( 29.38/4.29 ^[Y3 : $i]: 29.38/4.29 (( 29.38/4.29 (( 29.38/4.29 (in @ 29.38/4.29 Y3 @ 29.38/4.29 Y0) & 29.38/4.29 (in @ 29.38/4.29 Y2 @ Y0))) => 29.38/4.29 (( 29.38/4.29 (( 29.38/4.29 (!!) @ ( 29.38/4.29 ^[Y4 : $i]: 29.38/4.29 (( 29.38/4.29 (in @ 29.38/4.29 Y4 @ 29.38/4.29 Y1) => 29.38/4.29 (( 29.38/4.29 (in @ 29.38/4.29 Y2 @ 29.38/4.29 Y4) <=> 29.38/4.29 (in @ 29.38/4.29 Y3 @ Y4)))))))) => 29.38/4.29 (( 29.38/4.29 (Y2) = 29.38/4.29 (Y3))))))))))))) & 29.38/4.29 (((!!) @ (^[Y2 : $i]: 29.38/4.29 (( 29.38/4.29 (!!) @ ( 29.38/4.29 ^[Y3 : $i]: 29.38/4.29 (( 29.38/4.29 (( 29.38/4.29 (in @ 29.38/4.29 Y3 @ 29.38/4.29 Y1) & 29.38/4.29 (in @ 29.38/4.29 Y2 @ Y1))) => 29.38/4.29 (( 29.38/4.29 (( 29.38/4.29 (!!) @ ( 29.38/4.29 ^[Y4 : $i]: 29.38/4.29 (( 29.38/4.29 (in @ 29.38/4.29 Y4 @ 29.38/4.29 Y3) => 29.38/4.29 (in @ 29.38/4.29 Y4 @ Y2)))))) | 29.38/4.29 (( 29.38/4.29 (!!) @ ( 29.38/4.29 ^[Y4 : $i]: 29.38/4.29 (( 29.38/4.29 (in @ 29.38/4.29 Y4 @ 29.38/4.29 Y2) => 29.38/4.29 (in @ 29.38/4.29 Y4 @ Y3)))))))))))))))) & 29.38/4.29 (((!!) @ (^[Y2 : $i]: 29.38/4.29 (( 29.38/4.29 (( 29.38/4.29 (( 29.38/4.29 (??) @ ( 29.38/4.29 ^[Y3 : $i]: 29.38/4.29 (in @ 29.38/4.29 Y3 @ Y2)))) & 29.38/4.29 (( 29.38/4.29 (!!) @ ( 29.38/4.29 ^[Y3 : $i]: 29.38/4.29 (( 29.38/4.29 (in @ 29.38/4.29 Y3 @ 29.38/4.29 Y2) => 29.38/4.29 (in @ 29.38/4.29 Y3 @ Y0)))))))) => 29.38/4.29 (( 29.38/4.29 (??) @ ( 29.38/4.29 ^[Y3 : $i]: 29.38/4.29 (( 29.38/4.29 (??) @ ( 29.38/4.29 ^[Y4 : $i]: 29.38/4.29 (( 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 Y3 @ Y1) & 29.38/4.29 ( 29.38/4.29 in @ 29.38/4.29 Y4 @ Y2) & 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 (~) @ ( 29.38/4.29 ( 29.38/4.29 (??) @ ( 29.38/4.29 ^[Y5 : $i]: 29.38/4.29 (( 29.38/4.29 (in @ 29.38/4.29 Y5 @ 29.38/4.29 Y3) & 29.38/4.29 (in @ 29.38/4.29 Y5 @ Y2)))))))) & 29.38/4.29 ( 29.38/4.29 ( 29.38/4.29 (!!) @ ( 29.38/4.29 ^[Y5 : $i]: 29.38/4.29 (( 29.38/4.29 (in @ 29.38/4.29 Y5 @ 29.38/4.29 Y1) => 29.38/4.29 (( 29.38/4.29 (in @ 29.38/4.29 Y4 @ 29.38/4.29 Y5) | 29.38/4.29 (( 29.38/4.29 (!!) @ ( 29.38/4.29 ^[Y6 : $i]: 29.38/4.29 (( 29.38/4.29 (in @ 29.38/4.29 Y6 @ 29.38/4.29 Y5) => 29.38/4.29 (in @ 29.38/4.29 Y6 @ Y3)))))))))))))))))))))))))))))))))) => 29.38/4.29 (((((!!) @ (^[Y0 : $i > $o]: 29.38/4.29 (((((??) @ (^[Y1 : $i]: 29.38/4.29 (((Y0 @ Y1) & 29.38/4.29 (((!!) @ ( 29.38/4.29 ^[Y2 : $i]: 29.38/4.29 (((Y0 @ Y2) => 29.38/4.29 (((Y1) = 29.38/4.29 (Y2))))))))))))) => 29.38/4.29 (Y0 @ (descr @ Y0))))))) => 29.38/4.29 (((((!!) @ (^[Y0 : $i]: 29.38/4.29 (((!!) @ (^[Y1 : $i > $o]: 29.38/4.29 (((!!) @ (^[Y2 : $i]: 29.38/4.29 (( 29.38/4.29 (in @ 29.38/4.29 Y2 @ 29.38/4.29 Y0) => 29.38/4.29 (( 29.38/4.29 (Y1 @ 29.38/4.29 Y2) => 29.38/4.29 (in @ 29.38/4.29 Y2 @ 29.38/4.29 ( 29.38/4.29 dsetconstr @ 29.38/4.29 Y0 @ Y1))))))))))))))) => 29.38/4.29 (((((!!) @ (^[Y0 : $i]: 29.38/4.29 (((!!) @ (^[Y1 : $i > $o]: 29.38/4.29 (((!!) @ ( 29.38/4.29 ^[Y2 : $i]: 29.38/4.29 (((in @ Y2 @ 29.38/4.29 (dsetconstr @ 29.38/4.29 Y0 @ Y1)) => 29.38/4.29 (in @ Y2 @ 29.38/4.29 Y0)))))))))))) => 29.38/4.29 (((((!!) @ (^[Y0 : $i]: 29.38/4.29 (((!!) @ (^[Y1 : $i > $o]: 29.38/4.29 (((!!) @ ( 29.38/4.29 ^[Y2 : $i]: 29.38/4.29 (((in @ 29.38/4.29 Y2 @ 29.38/4.29 (dsetconstr @ 29.38/4.29 Y0 @ Y1)) => 29.38/4.29 (Y1 @ Y2)))))))))))) => 29.38/4.29 (((((!!) @ (^[Y0 : $i > $o]: 29.38/4.29 (((((??) @ (^[Y1 : $i]: 29.38/4.29 (((Y0 @ 29.38/4.29 Y1) & 29.38/4.29 (( 29.38/4.29 (!!) @ ( 29.38/4.29 ^[Y2 : $i]: 29.38/4.29 (( 29.38/4.29 (Y0 @ 29.38/4.29 Y2) => 29.38/4.29 (( 29.38/4.29 (Y1) = 29.38/4.29 (Y2))))))))))))) => 29.38/4.29 (((??) @ (^[Y1 : $i]: 29.38/4.29 (((Y0 @ 29.38/4.29 Y1) & 29.38/4.29 (( 29.38/4.29 (!!) @ ( 29.38/4.29 ^[Y2 : $i]: 29.38/4.29 (( 29.38/4.29 (Y0 @ 29.38/4.29 Y2) => 29.38/4.29 (( 29.38/4.29 (Y1) = 29.38/4.29 (Y2)))))))))))))))))) => 29.38/4.29 (((((!!) @ (^[Y0 : $o]: 29.38/4.29 (((!!) @ (^[Y1 : $i]: 29.38/4.29 (((in @ 29.38/4.29 Y1 @ 29.38/4.29 (prop2set @ 29.38/4.29 Y0)) => 29.38/4.29 (Y0))))))))) => 29.38/4.29 (((((!!) @ (^[Y0 : $i]: 29.38/4.29 (((in @ Y0 @ 29.38/4.29 emptyset) => 29.38/4.29 (((!!) @ (^[Y1 : $o]: 29.38/4.29 (Y1))))))))) => 29.38/4.29 (((((!!) @ (^[Y0 : $i]: 29.38/4.29 (((~) @ (in @ Y0 @ 29.38/4.29 emptyset)))))) => 29.38/4.29 (((((!!) @ (^[Y0 : $i]: 29.38/4.29 (((~) @ (in @ 29.38/4.29 Y0 @ 29.38/4.29 emptyset)))))) => 29.38/4.29 (((((!!) @ (^[Y0 : $i > $o]: 29.38/4.29 (((((??) @ ( 29.38/4.29 ^[Y1 : $i]: 29.38/4.29 (( 29.38/4.29 (Y0 @ 29.38/4.29 Y1) & 29.38/4.29 (( 29.38/4.29 (!!) @ ( 29.38/4.29 ^[Y2 : $i]: 29.38/4.29 (( 29.38/4.29 (Y0 @ 29.38/4.29 Y2) => 29.38/4.29 (( 29.38/4.29 (Y1) = 29.38/4.29 (Y2))))))))))))) => 29.38/4.29 (((??) @ ( 29.38/4.29 ^[Y1 : $i]: 29.38/4.29 (Y0 @ Y1))))))))) => 29.38/4.29 (((((!!) @ (^[Y0 : $i]: 29.38/4.29 (((!!) @ ( 29.38/4.29 ^[Y1 : $i]: 29.38/4.29 (( 29.38/4.29 (( 29.38/4.29 (!!) @ ( 29.38/4.29 ^[Y2 : $i]: 29.38/4.29 (( 29.38/4.29 (in @ 29.38/4.29 Y2 @ 29.38/4.29 Y0) => 29.38/4.29 (in @ 29.38/4.29 Y2 @ Y1)))))) => 29.38/4.29 (( 29.38/4.29 (( 29.38/4.29 (!!) @ ( 29.38/4.29 ^[Y2 : $i]: 29.38/4.29 (( 29.38/4.29 (in @ 29.38/4.29 Y2 @ 29.38/4.29 Y1) => 29.38/4.29 (in @ 29.38/4.29 Y2 @ Y0)))))) => 29.38/4.29 (( 29.38/4.29 (Y0) = 29.38/4.29 (Y1))))))))))))) => 29.38/4.29 (((((!!) @ (^[Y0 : $i]: 29.38/4.29 (((( 29.38/4.29 (!!) @ ( 29.38/4.29 ^[Y1 : $i]: 29.38/4.29 (( 29.38/4.29 (~) @ ( 29.38/4.29 in @ 29.38/4.29 Y1 @ Y0)))))) => 29.38/4.29 (( 29.38/4.29 (Y0) = 29.38/4.29 (emptyset)))))))) => 29.38/4.29 (((((!!) @ (^[Y0 : $i]: 29.38/4.29 (( 29.38/4.29 (( 29.38/4.29 (!!) @ ( 29.38/4.29 ^[Y1 : $i]: 29.38/4.29 (( 29.38/4.29 (~) @ ( 29.38/4.29 in @ 29.38/4.29 Y1 @ Y0)))))) => 29.38/4.29 (( 29.38/4.29 (Y0) = 29.38/4.29 (emptyset)))))))) => 29.38/4.29 (((((!!) @ (^[Y0 : $i]: 29.38/4.29 (( 29.38/4.29 (!!) @ ( 29.38/4.29 ^[Y1 : $i > $o]: 29.38/4.29 (( 29.38/4.29 (!!) @ ( 29.38/4.29 ^[Y2 : $i]: 29.38/4.29 (( 29.38/4.29 (in @ 29.38/4.29 Y2 @ 29.38/4.29 Y0) => 29.38/4.29 (( 29.38/4.29 (in @ 29.38/4.29 Y2 @ 29.38/4.29 ( 29.38/4.29 dsetconstr @ 29.38/4.29 Y0 @ Y1)) <=> 29.38/4.29 (Y1 @ Y2)))))))))))))) => 29.38/4.29 (((((!!) @ ( 29.38/4.29 ^[Y0 : $i]: 29.38/4.29 (((((Y0) != 29.38/4.29 (emptyset))) => 29.38/4.29 (((??) @ ( 29.38/4.29 ^[Y1 : $i]: 29.38/4.29 (in @ 29.38/4.29 Y1 @ Y0))))))))) => 29.38/4.29 (((((!!) @ ( 29.38/4.29 ^[Y0 : $i]: 29.38/4.29 (((!!) @ ( 29.38/4.29 ^[Y1 : $i > $o]: 29.38/4.29 (( 29.38/4.29 (!!) @ ( 29.38/4.29 ^[Y2 : $i]: 29.38/4.29 (( 29.38/4.29 (in @ 29.38/4.29 Y2 @ 29.38/4.29 Y0) => 29.38/4.29 (( 29.38/4.29 (Y1 @ 29.38/4.29 Y2) => 29.38/4.29 (( 29.38/4.29 (dsetconstr @ 29.38/4.29 Y0 @ 29.38/4.29 Y1) != 29.38/4.29 (emptyset)))))))))))))))) => 29.38/4.29 (((((!!) @ ( 29.38/4.29 ^[Y0 : $i]: 29.38/4.29 (( 29.38/4.29 (( 29.38/4.29 (??) @ ( 29.38/4.29 ^[Y1 : $i]: 29.38/4.29 (in @ 29.38/4.29 Y1 @ Y0)))) => 29.38/4.29 (( 29.38/4.29 (Y0) != 29.38/4.29 (emptyset)))))))) => 29.38/4.29 (((((!!) @ ( 29.38/4.29 ^[Y0 : $i]: 29.38/4.29 (( 29.38/4.29 (!!) @ ( 29.38/4.29 ^[Y1 : $i]: 29.38/4.29 (in @ 29.38/4.29 Y0 @ 29.38/4.29 (setadjoin @ 29.38/4.29 Y0 @ Y1)))))))) => 29.38/4.29 (((in @ 29.38/4.29 emptyset @ 29.38/4.29 (setadjoin @ 29.38/4.29 emptyset @ 29.38/4.29 emptyset)) => 29.38/4.29 (( 29.38/4.29 (( 29.38/4.29 (!!) @ ( 29.38/4.29 ^[Y0 : $i]: 29.38/4.29 (( 29.38/4.29 (!!) @ ( 29.38/4.29 ^[Y1 : $i]: 29.38/4.29 (( 29.38/4.29 (!!) @ ( 29.38/4.29 ^[Y2 : $i]: 29.38/4.29 (( 29.38/4.29 (in @ 29.38/4.29 Y2 @ 29.38/4.29 Y1) => 29.38/4.29 (in @ 29.38/4.29 Y2 @ 29.38/4.29 ( 29.38/4.29 setadjoin @ 29.38/4.29 Y0 @ Y1))))))))))))) => 29.38/4.29 (( 29.38/4.29 (( 29.38/4.29 (!!) @ ( 29.38/4.29 ^[Y0 : $i]: 29.38/4.29 (( 29.38/4.29 (!!) @ ( 29.38/4.29 ^[Y1 : $i]: 29.38/4.29 (( 29.38/4.29 (!!) @ ( 29.38/4.29 ^[Y2 : $i]: 29.38/4.29 (( 29.38/4.29 (in @ 29.38/4.29 Y2 @ 29.38/4.29 ( 29.38/4.29 setadjoin @ 29.38/4.29 Y0 @ Y1)) => 29.38/4.29 (( 29.38/4.29 (!!) @ ( 29.38/4.29 ^[Y3 : $o]: 29.38/4.29 (( 29.38/4.29 (( 29.38/4.29 (( 29.38/4.29 (Y2) = 29.38/4.29 (Y0))) => 29.38/4.29 (Y3))) => 29.38/4.29 (( 29.38/4.29 (( 29.38/4.30 (in @ 29.38/4.30 Y2 @ 29.38/4.30 Y1) => 29.38/4.30 (Y3))) => 29.38/4.30 (Y3))))))))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y2 @ 29.38/4.30 ( 29.38/4.30 setadjoin @ 29.38/4.30 Y0 @ Y1)) => 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y2 @ 29.38/4.30 Y1) | 29.38/4.30 (( 29.38/4.30 (Y2) = 29.38/4.30 (Y0)))))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (dsetconstr @ 29.38/4.30 Y0 @ 29.38/4.30 ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 ($true))) = 29.38/4.30 (Y0)))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y2 @ 29.38/4.30 Y1) => 29.38/4.30 (in @ 29.38/4.30 Y2 @ Y0)))))) => 29.38/4.30 (in @ 29.38/4.30 Y1 @ 29.38/4.30 ( 29.38/4.30 powerset @ 29.38/4.30 Y0)))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (in @ 29.38/4.30 emptyset @ 29.38/4.30 (powerset @ 29.38/4.30 Y0))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (in @ 29.38/4.30 emptyset @ 29.38/4.30 (powerset @ 29.38/4.30 Y0))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y1 @ 29.38/4.30 ( 29.38/4.30 powerset @ 29.38/4.30 Y0)) => 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y2 @ 29.38/4.30 Y1) => 29.38/4.30 (in @ 29.38/4.30 Y2 @ Y0)))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y1 @ 29.38/4.30 Y2) => 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y2 @ 29.38/4.30 Y0) => 29.38/4.30 (in @ 29.38/4.30 Y1 @ 29.38/4.30 ( 29.38/4.30 setunion @ 29.38/4.30 Y0))))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y1 @ 29.38/4.30 ( 29.38/4.30 setunion @ 29.38/4.30 Y0)) => 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $o]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y3 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y1 @ 29.38/4.30 Y3) => 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y3 @ 29.38/4.30 Y0) => 29.38/4.30 (Y2)))))))) => 29.38/4.30 (Y2)))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y1 @ 29.38/4.30 Y0) => 29.38/4.30 (in @ 29.38/4.30 Y1 @ 29.38/4.30 ( 29.38/4.30 powerset @ 29.38/4.30 ( 29.38/4.30 setunion @ 29.38/4.30 Y0))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i > $o]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (??) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (Y0 @ 29.38/4.30 Y1) & 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (Y0 @ 29.38/4.30 Y2) => 29.38/4.30 (( 29.38/4.30 (Y1) = 29.38/4.30 (Y2))))))))))))) => 29.38/4.30 (( 29.38/4.30 (??) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (Y0 @ 29.38/4.30 Y2) <=> 29.38/4.30 (( 29.38/4.30 (Y2) = 29.38/4.30 (Y1)))))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (Y0) != 29.38/4.30 (emptyset))) => 29.38/4.30 (( 29.38/4.30 (??) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (in @ 29.38/4.30 Y1 @ Y0))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y0 @ 29.38/4.30 ( 29.38/4.30 setadjoin @ 29.38/4.30 Y1 @ 29.38/4.30 emptyset)) => 29.38/4.30 (( 29.38/4.30 (Y0) = 29.38/4.30 (Y1))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (Y0) != 29.38/4.30 (Y1))) => 29.38/4.30 (( 29.38/4.30 (~) @ ( 29.38/4.30 in @ 29.38/4.30 Y1 @ 29.38/4.30 ( 29.38/4.30 setadjoin @ 29.38/4.30 Y0 @ 29.38/4.30 emptyset)))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (Y0) = 29.38/4.30 (Y1))) => 29.38/4.30 (in @ 29.38/4.30 Y0 @ 29.38/4.30 ( 29.38/4.30 setadjoin @ 29.38/4.30 Y1 @ 29.38/4.30 emptyset)))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y0 @ 29.38/4.30 ( 29.38/4.30 setadjoin @ 29.38/4.30 Y1 @ 29.38/4.30 emptyset)) => 29.38/4.30 (in @ 29.38/4.30 Y1 @ 29.38/4.30 ( 29.38/4.30 setadjoin @ 29.38/4.30 Y0 @ 29.38/4.30 emptyset)))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y2 @ 29.38/4.30 ( 29.38/4.30 setadjoin @ 29.38/4.30 Y0 @ 29.38/4.30 ( 29.38/4.30 setadjoin @ 29.38/4.30 Y1 @ 29.38/4.30 emptyset))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (Y2) = 29.38/4.30 (Y1))) | 29.38/4.30 (( 29.38/4.30 (Y2) = 29.38/4.30 (Y0)))))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (in @ 29.38/4.30 Y0 @ 29.38/4.30 (setadjoin @ 29.38/4.30 Y0 @ 29.38/4.30 (setadjoin @ 29.38/4.30 Y1 @ 29.38/4.30 emptyset))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (in @ 29.38/4.30 Y1 @ 29.38/4.30 (setadjoin @ 29.38/4.30 Y0 @ 29.38/4.30 (setadjoin @ 29.38/4.30 Y1 @ 29.38/4.30 emptyset))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i > $o]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (??) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y2 @ 29.38/4.30 Y0) & 29.38/4.30 (Y1 @ Y2)))))) => 29.38/4.30 (( 29.38/4.30 (dsetconstr @ 29.38/4.30 Y0 @ 29.38/4.30 Y1) != 29.38/4.30 (emptyset))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i > $o]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y1 @ 29.38/4.30 emptyset) => 29.38/4.30 (Y0 @ Y1))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i > $o]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (~) @ ( 29.38/4.30 ( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y2 @ 29.38/4.30 Y0) => 29.38/4.30 (Y1 @ Y2)))))))) => 29.38/4.30 (( 29.38/4.30 (??) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y2 @ 29.38/4.30 Y0) & 29.38/4.30 (( 29.38/4.30 (~) @ ( 29.38/4.30 Y1 @ Y2)))))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i > $o]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y2 @ 29.38/4.30 Y0) => 29.38/4.30 (( 29.38/4.30 (~) @ ( 29.38/4.30 Y1 @ Y2)))))))) => 29.38/4.30 (( 29.38/4.30 (~) @ ( 29.38/4.30 ( 29.38/4.30 (??) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y2 @ 29.38/4.30 Y0) & 29.38/4.30 (Y1 @ Y2)))))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i > $o]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (~) @ ( 29.38/4.30 ( 29.38/4.30 (??) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y2 @ 29.38/4.30 Y0) & 29.38/4.30 (Y1 @ Y2)))))))) => 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y2 @ 29.38/4.30 Y0) => 29.38/4.30 (( 29.38/4.30 (~) @ ( 29.38/4.30 Y1 @ Y2)))))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i > $o]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (??) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y2 @ 29.38/4.30 Y0) & 29.38/4.30 (( 29.38/4.30 (~) @ ( 29.38/4.30 Y1 @ Y2)))))))) => 29.38/4.30 (( 29.38/4.30 (~) @ ( 29.38/4.30 ( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y2 @ 29.38/4.30 Y0) => 29.38/4.30 (Y1 @ Y2)))))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $o]: 29.38/4.30 (( 29.38/4.30 (Y0) => 29.38/4.30 (in @ 29.38/4.30 emptyset @ 29.38/4.30 ( 29.38/4.30 prop2set @ 29.38/4.30 Y0))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $o]: 29.38/4.30 (( 29.38/4.30 (Y0) => 29.38/4.30 (set2prop @ 29.38/4.30 ( 29.38/4.30 prop2set @ 29.38/4.30 Y0))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i > $o]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (~) @ ( 29.38/4.30 ( 29.38/4.30 (??) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y2 @ 29.38/4.30 Y0) & 29.38/4.30 (Y1 @ Y2)))))))) => 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y2 @ 29.38/4.30 Y0) => 29.38/4.30 (( 29.38/4.30 (~) @ ( 29.38/4.30 Y1 @ Y2)))))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i > $o]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (~) @ ( 29.38/4.30 ( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y2 @ 29.38/4.30 Y0) => 29.38/4.30 (Y1 @ Y2)))))))) => 29.38/4.30 (( 29.38/4.30 (??) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y2 @ 29.38/4.30 Y0) & 29.38/4.30 (( 29.38/4.30 (~) @ ( 29.38/4.30 Y1 @ Y2)))))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i > $o]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (??) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (Y0 @ 29.38/4.30 Y1) & 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (Y0 @ 29.38/4.30 Y2) => 29.38/4.30 (( 29.38/4.30 (Y1) = 29.38/4.30 (Y2))))))))))))) => 29.38/4.30 (( 29.38/4.30 (??) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (Y0 @ 29.38/4.30 Y1) & 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (Y0 @ 29.38/4.30 Y2) => 29.38/4.30 (( 29.38/4.30 (Y1) = 29.38/4.30 (Y2)))))))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i > $o]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (??) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (Y0 @ Y1)))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (Y0 @ 29.38/4.30 Y1) => 29.38/4.30 (( 29.38/4.30 (Y0 @ 29.38/4.30 Y2) => 29.38/4.30 (( 29.38/4.30 (Y1) = 29.38/4.30 (Y2))))))))))))) => 29.38/4.30 (( 29.38/4.30 (??) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (Y0 @ 29.38/4.30 Y1) & 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (Y0 @ 29.38/4.30 Y2) => 29.38/4.30 (( 29.38/4.30 (Y1) = 29.38/4.30 (Y2)))))))))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i > $o]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (??) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (Y0 @ 29.38/4.30 Y2) <=> 29.38/4.30 (( 29.38/4.30 (Y2) = 29.38/4.30 (Y1))))))))))) => 29.38/4.30 (( 29.38/4.30 (??) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (Y0 @ 29.38/4.30 Y1) & 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (Y0 @ 29.38/4.30 Y2) => 29.38/4.30 (( 29.38/4.30 (Y1) = 29.38/4.30 (Y2)))))))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (Y0) = 29.38/4.30 (Y1))) => 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y3 : $i]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (Y2) = 29.38/4.30 (Y3))) => 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y2 @ 29.38/4.30 Y0) => 29.38/4.30 (in @ 29.38/4.30 Y3 @ Y1))))))))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (Y0) = 29.38/4.30 (Y1))) => 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y3 : $i]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (Y2) = 29.38/4.30 (Y3))) => 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y2 @ 29.38/4.30 Y0) <=> 29.38/4.30 (in @ 29.38/4.30 Y3 @ Y1))))))))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i > $o]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (??) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (Y0 @ 29.38/4.30 Y1) & 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (Y0 @ 29.38/4.30 Y2) => 29.38/4.30 (( 29.38/4.30 (Y1) = 29.38/4.30 (Y2))))))))))))) => 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (Y0 @ 29.38/4.30 Y1) => 29.38/4.30 (( 29.38/4.30 (Y0 @ 29.38/4.30 Y2) => 29.38/4.30 (( 29.38/4.30 (Y1) = 29.38/4.30 (Y2)))))))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i > $o]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i > $o]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y3 : $i]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (Y2) = 29.38/4.30 (Y3))) => 29.38/4.30 (( 29.38/4.30 (Y0 @ 29.38/4.30 Y2) <=> 29.38/4.30 (Y1 @ Y3))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (??) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (Y0 @ 29.38/4.30 Y2) & 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y3 : $i]: 29.38/4.30 (( 29.38/4.30 (Y0 @ 29.38/4.30 Y3) => 29.38/4.30 (( 29.38/4.30 (Y2) = 29.38/4.30 (Y3))))))))))))) <=> 29.38/4.30 (( 29.38/4.30 (??) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (Y1 @ 29.38/4.30 Y2) & 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y3 : $i]: 29.38/4.30 (( 29.38/4.30 (Y1 @ 29.38/4.30 Y3) => 29.38/4.30 (( 29.38/4.30 (Y2) = 29.38/4.30 (Y3))))))))))))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (emptyset) = 29.38/4.30 (emptyset))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (Y0) = 29.38/4.30 (Y1))) => 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y3 : $i]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (Y2) = 29.38/4.30 (Y3))) => 29.38/4.30 (( 29.38/4.30 (setadjoin @ 29.38/4.30 Y0 @ 29.38/4.30 Y2) = 29.38/4.30 (setadjoin @ 29.38/4.30 Y1 @ Y3))))))))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (Y0) = 29.38/4.30 (Y1))) => 29.38/4.30 (( 29.38/4.30 (powerset @ 29.38/4.30 Y0) = 29.38/4.30 (powerset @ 29.38/4.30 Y1))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (Y0) = 29.38/4.30 (Y1))) => 29.38/4.30 (( 29.38/4.30 (setunion @ 29.38/4.30 Y0) = 29.38/4.30 (setunion @ 29.38/4.30 Y1))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (omega) = 29.38/4.30 (omega))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i > $o]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (??) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (Y0 @ 29.38/4.30 Y1) & 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (Y0 @ 29.38/4.30 Y2) => 29.38/4.30 (( 29.38/4.30 (Y1) = 29.38/4.30 (Y2))))))))))))) => 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (Y0 @ 29.38/4.30 Y1) => 29.38/4.30 (( 29.38/4.30 (Y0 @ 29.38/4.30 Y2) => 29.38/4.30 (( 29.38/4.30 (Y1) = 29.38/4.30 (Y2)))))))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i > $o]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i > $o]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y3 : $i]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (Y2) = 29.38/4.30 (Y3))) => 29.38/4.30 (( 29.38/4.30 (Y0 @ 29.38/4.30 Y2) <=> 29.38/4.30 (Y1 @ Y3))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (??) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (Y0 @ 29.38/4.30 Y2) & 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y3 : $i]: 29.38/4.30 (( 29.38/4.30 (Y0 @ 29.38/4.30 Y3) => 29.38/4.30 (( 29.38/4.30 (Y2) = 29.38/4.30 (Y3))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (??) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (Y1 @ 29.38/4.30 Y2) & 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y3 : $i]: 29.38/4.30 (( 29.38/4.30 (Y1 @ 29.38/4.30 Y3) => 29.38/4.30 (( 29.38/4.30 (Y2) = 29.38/4.30 (Y3))))))))))))) => 29.38/4.30 (( 29.38/4.30 (descr @ 29.38/4.30 Y0) = 29.38/4.30 (descr @ 29.38/4.30 Y1))))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (Y0) = 29.38/4.30 (Y1))) => 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i > $o]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y3 : $i > $o]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y4 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y4 @ 29.38/4.30 Y0) => 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y5 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y5 @ 29.38/4.30 Y1) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (Y4) = 29.38/4.30 (Y5))) => 29.38/4.30 (( 29.38/4.30 (Y2 @ 29.38/4.30 Y4) <=> 29.38/4.30 (Y3 @ Y5))))))))))))))) => 29.38/4.30 (( 29.38/4.30 (dsetconstr @ 29.38/4.30 Y0 @ 29.38/4.30 Y2) = 29.38/4.30 (dsetconstr @ 29.38/4.30 Y1 @ Y3))))))))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y2 @ 29.38/4.30 Y0) => 29.38/4.30 (in @ 29.38/4.30 Y2 @ Y1)))))) => 29.38/4.30 (subset @ 29.38/4.30 Y0 @ Y1))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (Y0) = 29.38/4.30 (Y1))) => 29.38/4.30 (subset @ 29.38/4.30 Y1 @ Y0))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (Y0) = 29.38/4.30 (Y1))) => 29.38/4.30 (subset @ 29.38/4.30 Y0 @ Y1))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y2 @ 29.38/4.30 Y0) => 29.38/4.30 (in @ 29.38/4.30 Y2 @ Y1)))))) => 29.38/4.30 (subset @ 29.38/4.30 Y0 @ Y1))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (subset @ 29.38/4.30 emptyset @ 29.38/4.30 Y0)))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (subset @ 29.38/4.30 Y0 @ 29.38/4.30 Y1) => 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y2 @ 29.38/4.30 Y0) => 29.38/4.30 (in @ 29.38/4.30 Y2 @ Y1)))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (subset @ 29.38/4.30 Y0 @ 29.38/4.30 Y1) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (~) @ ( 29.38/4.30 in @ 29.38/4.30 Y2 @ Y1))) => 29.38/4.30 (( 29.38/4.30 (~) @ ( 29.38/4.30 in @ 29.38/4.30 Y2 @ Y0)))))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y2 @ 29.38/4.30 Y0) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (~) @ ( 29.38/4.30 in @ 29.38/4.30 Y2 @ Y1))) => 29.38/4.30 (( 29.38/4.30 (~) @ ( 29.38/4.30 subset @ 29.38/4.30 Y0 @ Y1)))))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (~) @ ( 29.38/4.30 subset @ 29.38/4.30 Y0 @ Y1))) => 29.38/4.30 (( 29.38/4.30 (Y0) != 29.38/4.30 (Y1))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y2 @ 29.38/4.30 Y0) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (~) @ ( 29.38/4.30 in @ 29.38/4.30 Y2 @ Y1))) => 29.38/4.30 (( 29.38/4.30 (Y0) != 29.38/4.30 (Y1)))))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (subset @ 29.38/4.30 Y0 @ Y0)))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (subset @ 29.38/4.30 Y0 @ 29.38/4.30 Y1) => 29.38/4.30 (( 29.38/4.30 (subset @ 29.38/4.30 Y1 @ 29.38/4.30 Y2) => 29.38/4.30 (subset @ 29.38/4.30 Y0 @ Y2)))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (subset @ 29.38/4.30 Y1 @ 29.38/4.30 (setadjoin @ 29.38/4.30 Y0 @ Y1)))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (subset @ 29.38/4.30 Y0 @ 29.38/4.30 Y2) => 29.38/4.30 (subset @ 29.38/4.30 Y0 @ 29.38/4.30 ( 29.38/4.30 setadjoin @ 29.38/4.30 Y1 @ Y2))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (subset @ 29.38/4.30 Y0 @ 29.38/4.30 Y1) => 29.38/4.30 (in @ 29.38/4.30 Y0 @ 29.38/4.30 ( 29.38/4.30 powerset @ 29.38/4.30 Y1)))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (subset @ 29.38/4.30 Y0 @ 29.38/4.30 Y1) => 29.38/4.30 (( 29.38/4.30 (subset @ 29.38/4.30 Y1 @ 29.38/4.30 Y0) => 29.38/4.30 (( 29.38/4.30 (Y0) = 29.38/4.30 (Y1))))))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (subset @ 29.38/4.30 Y0 @ 29.38/4.30 emptyset) => 29.38/4.30 (( 29.38/4.30 (Y0) = 29.38/4.30 (emptyset)))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (subset @ 29.38/4.30 Y1 @ 29.38/4.30 Y0) => 29.38/4.30 (in @ 29.38/4.30 Y1 @ 29.38/4.30 ( 29.38/4.30 powerset @ 29.38/4.30 Y0)))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y1 @ 29.38/4.30 ( 29.38/4.30 powerset @ 29.38/4.30 Y0)) => 29.38/4.30 (subset @ 29.38/4.30 Y1 @ Y0))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (in @ 29.38/4.30 Y0 @ 29.38/4.30 (powerset @ 29.38/4.30 Y0))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (subset @ 29.38/4.30 Y0 @ 29.38/4.30 Y1) => 29.38/4.30 (subset @ 29.38/4.30 ( 29.38/4.30 powerset @ 29.38/4.30 Y0) @ 29.38/4.30 ( 29.38/4.30 powerset @ 29.38/4.30 Y1)))))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i > $o]: 29.38/4.30 (in @ 29.38/4.30 (dsetconstr @ 29.38/4.30 Y0 @ Y1) @ 29.38/4.30 (powerset @ 29.38/4.30 Y0)))))))) => 29.38/4.30 (( 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i > $o]: 29.38/4.30 (subset @ 29.38/4.30 (dsetconstr @ 29.38/4.30 Y0 @ Y1) @ 29.38/4.30 Y0))))))) => 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y0 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y1 : $i]: 29.38/4.30 (( 29.38/4.30 (!!) @ ( 29.38/4.30 ^[Y2 : $i]: 29.38/4.30 (( 29.38/4.30 (in @ 29.38/4.30 Y2 @ 29.38/4.30 Y0) => 29.38/4.30 (in @ 29.38/4.30 Y2 @ 29.38/4.30 ( 29.38/4.30 setunion @ 29.38/4.30 ( 29.38/4.30 setadjoin @ 29.38/4.30 Y0 @ 29.38/4.30 ( 29.38/4.30 setadjoin @ 29.38/4.30 Y1 @ 29.38/4.30 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 29.38/4.30 inference('cnf', [status(esa)], [zf_stmt_1])). 29.38/4.30 thf(zip_derived_cl2028, plain, ($false), 29.38/4.30 inference('eprover', [status(thm)], [zip_derived_cl2027])). 29.38/4.30 29.38/4.30 % SZS output end Refutation 29.38/4.30 29.38/4.30 29.38/4.30 % Terminating... 29.38/4.35 % Runner terminated. 29.38/4.36 % Zipperpin 1.5 exiting 29.38/4.36 EOF